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      1 /* An expandable hash tables datatype.
      2    Copyright (C) 1999-2026 Free Software Foundation, Inc.
      3    Contributed by Vladimir Makarov (vmakarov (at) cygnus.com).
      4 
      5 This file is part of the libiberty library.
      6 Libiberty is free software; you can redistribute it and/or
      7 modify it under the terms of the GNU Library General Public
      8 License as published by the Free Software Foundation; either
      9 version 2 of the License, or (at your option) any later version.
     10 
     11 Libiberty is distributed in the hope that it will be useful,
     12 but WITHOUT ANY WARRANTY; without even the implied warranty of
     13 MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE.  See the GNU
     14 Library General Public License for more details.
     15 
     16 You should have received a copy of the GNU Library General Public
     17 License along with libiberty; see the file COPYING.LIB.  If
     18 not, write to the Free Software Foundation, Inc., 51 Franklin Street - Fifth Floor,
     19 Boston, MA 02110-1301, USA.  */
     20 
     21 /* This package implements basic hash table functionality.  It is possible
     22    to search for an entry, create an entry and destroy an entry.
     23 
     24    Elements in the table are generic pointers.
     25 
     26    The size of the table is not fixed; if the occupancy of the table
     27    grows too high the hash table will be expanded.
     28 
     29    The abstract data implementation is based on generalized Algorithm D
     30    from Knuth's book "The art of computer programming".  Hash table is
     31    expanded by creation of new hash table and transferring elements from
     32    the old table to the new table. */
     33 
     34 #ifdef HAVE_CONFIG_H
     35 #include "config.h"
     36 #endif
     37 
     38 #include <sys/types.h>
     39 
     40 #ifdef HAVE_STDLIB_H
     41 #include <stdlib.h>
     42 #endif
     43 #ifdef HAVE_STRING_H
     44 #include <string.h>
     45 #endif
     46 #ifdef HAVE_MALLOC_H
     47 #include <malloc.h>
     48 #endif
     49 #ifdef HAVE_LIMITS_H
     50 #include <limits.h>
     51 #endif
     52 #ifdef HAVE_INTTYPES_H
     53 #include <inttypes.h>
     54 #endif
     55 #ifdef HAVE_STDINT_H
     56 #include <stdint.h>
     57 #endif
     58 
     59 #include <stdio.h>
     60 
     61 #include "libiberty.h"
     62 #include "ansidecl.h"
     63 #include "hashtab.h"
     64 
     65 #ifndef CHAR_BIT
     66 #define CHAR_BIT 8
     67 #endif
     68 
     69 static unsigned int higher_prime_index (unsigned long);
     70 static hashval_t htab_mod_1 (hashval_t, hashval_t, hashval_t, int);
     71 static hashval_t htab_mod (hashval_t, htab_t);
     72 static hashval_t htab_mod_m2 (hashval_t, htab_t);
     73 static hashval_t hash_pointer (const void *);
     74 static int eq_pointer (const void *, const void *);
     75 static int htab_expand (htab_t);
     76 static void **find_empty_slot_for_expand (htab_t, hashval_t);
     77 
     78 /* At some point, we could make these be NULL, and modify the
     79    hash-table routines to handle NULL specially; that would avoid
     80    function-call overhead for the common case of hashing pointers.  */
     81 htab_hash htab_hash_pointer = hash_pointer;
     82 htab_eq htab_eq_pointer = eq_pointer;
     83 
     84 /* Table of primes and multiplicative inverses.
     85 
     86    Note that these are not minimally reduced inverses.  Unlike when generating
     87    code to divide by a constant, we want to be able to use the same algorithm
     88    all the time.  All of these inverses (are implied to) have bit 32 set.
     89 
     90    For the record, here's the function that computed the table; it's a
     91    vastly simplified version of the function of the same name from gcc.  */
     92 
     93 #if 0
     94 unsigned int
     95 ceil_log2 (unsigned int x)
     96 {
     97   int i;
     98   for (i = 31; i >= 0 ; --i)
     99     if (x > (1u << i))
    100       return i+1;
    101   abort ();
    102 }
    103 
    104 unsigned int
    105 choose_multiplier (unsigned int d, unsigned int *mlp, unsigned char *shiftp)
    106 {
    107   unsigned long long mhigh;
    108   double nx;
    109   int lgup, post_shift;
    110   int pow, pow2;
    111   int n = 32, precision = 32;
    112 
    113   lgup = ceil_log2 (d);
    114   pow = n + lgup;
    115   pow2 = n + lgup - precision;
    116 
    117   nx = ldexp (1.0, pow) + ldexp (1.0, pow2);
    118   mhigh = nx / d;
    119 
    120   *shiftp = lgup - 1;
    121   *mlp = mhigh;
    122   return mhigh >> 32;
    123 }
    124 #endif
    125 
    126 struct prime_ent
    127 {
    128   hashval_t prime;
    129   hashval_t inv;
    130   hashval_t inv_m2;	/* inverse of prime-2 */
    131   hashval_t shift;
    132 };
    133 
    134 static struct prime_ent const prime_tab[] = {
    135   {          7, 0x24924925, 0x9999999b, 2 },
    136   {         13, 0x3b13b13c, 0x745d1747, 3 },
    137   {         31, 0x08421085, 0x1a7b9612, 4 },
    138   {         61, 0x0c9714fc, 0x15b1e5f8, 5 },
    139   {        127, 0x02040811, 0x0624dd30, 6 },
    140   {        251, 0x05197f7e, 0x073260a5, 7 },
    141   {        509, 0x01824366, 0x02864fc8, 8 },
    142   {       1021, 0x00c0906d, 0x014191f7, 9 },
    143   {       2039, 0x0121456f, 0x0161e69e, 10 },
    144   {       4093, 0x00300902, 0x00501908, 11 },
    145   {       8191, 0x00080041, 0x00180241, 12 },
    146   {      16381, 0x000c0091, 0x00140191, 13 },
    147   {      32749, 0x002605a5, 0x002a06e6, 14 },
    148   {      65521, 0x000f00e2, 0x00110122, 15 },
    149   {     131071, 0x00008001, 0x00018003, 16 },
    150   {     262139, 0x00014002, 0x0001c004, 17 },
    151   {     524287, 0x00002001, 0x00006001, 18 },
    152   {    1048573, 0x00003001, 0x00005001, 19 },
    153   {    2097143, 0x00004801, 0x00005801, 20 },
    154   {    4194301, 0x00000c01, 0x00001401, 21 },
    155   {    8388593, 0x00001e01, 0x00002201, 22 },
    156   {   16777213, 0x00000301, 0x00000501, 23 },
    157   {   33554393, 0x00001381, 0x00001481, 24 },
    158   {   67108859, 0x00000141, 0x000001c1, 25 },
    159   {  134217689, 0x000004e1, 0x00000521, 26 },
    160   {  268435399, 0x00000391, 0x000003b1, 27 },
    161   {  536870909, 0x00000019, 0x00000029, 28 },
    162   { 1073741789, 0x0000008d, 0x00000095, 29 },
    163   { 2147483647, 0x00000003, 0x00000007, 30 },
    164   /* Avoid "decimal constant so large it is unsigned" for 4294967291.  */
    165   { 0xfffffffb, 0x00000006, 0x00000008, 31 }
    166 };
    167 
    168 /* The following function returns an index into the above table of the
    169    nearest prime number which is greater than N, and near a power of two. */
    170 
    171 static unsigned int
    172 higher_prime_index (unsigned long n)
    173 {
    174   unsigned int low = 0;
    175   unsigned int high = sizeof(prime_tab) / sizeof(prime_tab[0]);
    176 
    177   while (low != high)
    178     {
    179       unsigned int mid = low + (high - low) / 2;
    180       if (n > prime_tab[mid].prime)
    181 	low = mid + 1;
    182       else
    183 	high = mid;
    184     }
    185 
    186   /* If we've run out of primes, abort.  */
    187   if (n > prime_tab[low].prime)
    188     {
    189       fprintf (stderr, "Cannot find prime bigger than %lu\n", n);
    190       abort ();
    191     }
    192 
    193   return low;
    194 }
    195 
    196 /* Returns non-zero if P1 and P2 are equal.  */
    197 
    198 static int
    199 eq_pointer (const void *p1, const void *p2)
    200 {
    201   return p1 == p2;
    202 }
    203 
    204 
    205 /* The parens around the function names in the next two definitions
    206    are essential in order to prevent macro expansions of the name.
    207    The bodies, however, are expanded as expected, so they are not
    208    recursive definitions.  */
    209 
    210 /* Return the current size of given hash table.  */
    211 
    212 #define htab_size(htab)  ((htab)->size)
    213 
    214 size_t
    215 (htab_size) (htab_t htab)
    216 {
    217   return htab_size (htab);
    218 }
    219 
    220 /* Return the current number of elements in given hash table. */
    221 
    222 #define htab_elements(htab)  ((htab)->n_elements - (htab)->n_deleted)
    223 
    224 size_t
    225 (htab_elements) (htab_t htab)
    226 {
    227   return htab_elements (htab);
    228 }
    229 
    230 /* Return X % Y.  */
    231 
    232 static inline hashval_t
    233 htab_mod_1 (hashval_t x, hashval_t y, hashval_t inv, int shift)
    234 {
    235   /* The multiplicative inverses computed above are for 32-bit types, and
    236      requires that we be able to compute a highpart multiply.  */
    237 #ifdef UNSIGNED_64BIT_TYPE
    238   __extension__ typedef UNSIGNED_64BIT_TYPE ull;
    239   if (sizeof (hashval_t) * CHAR_BIT <= 32)
    240     {
    241       hashval_t t1, t2, t3, t4, q, r;
    242 
    243       t1 = ((ull)x * inv) >> 32;
    244       t2 = x - t1;
    245       t3 = t2 >> 1;
    246       t4 = t1 + t3;
    247       q  = t4 >> shift;
    248       r  = x - (q * y);
    249 
    250       return r;
    251     }
    252 #endif
    253 
    254   /* Otherwise just use the native division routines.  */
    255   return x % y;
    256 }
    257 
    258 /* Compute the primary hash for HASH given HTAB's current size.  */
    259 
    260 static inline hashval_t
    261 htab_mod (hashval_t hash, htab_t htab)
    262 {
    263   const struct prime_ent *p = &prime_tab[htab->size_prime_index];
    264   return htab_mod_1 (hash, p->prime, p->inv, p->shift);
    265 }
    266 
    267 /* Compute the secondary hash for HASH given HTAB's current size.  */
    268 
    269 static inline hashval_t
    270 htab_mod_m2 (hashval_t hash, htab_t htab)
    271 {
    272   const struct prime_ent *p = &prime_tab[htab->size_prime_index];
    273   return 1 + htab_mod_1 (hash, p->prime - 2, p->inv_m2, p->shift);
    274 }
    275 
    276 /* This function creates table with length slightly longer than given
    277    source length.  Created hash table is initiated as empty (all the
    278    hash table entries are HTAB_EMPTY_ENTRY).  The function returns the
    279    created hash table, or NULL if memory allocation fails.  */
    280 
    281 htab_t
    282 htab_create_alloc (size_t size, htab_hash hash_f, htab_eq eq_f,
    283                    htab_del del_f, htab_alloc alloc_f, htab_free free_f)
    284 {
    285   return htab_create_typed_alloc (size, hash_f, eq_f, del_f, alloc_f, alloc_f,
    286 				  free_f);
    287 }
    288 
    289 /* As above, but uses the variants of ALLOC_F and FREE_F which accept
    290    an extra argument.  */
    291 
    292 htab_t
    293 htab_create_alloc_ex (size_t size, htab_hash hash_f, htab_eq eq_f,
    294 		      htab_del del_f, void *alloc_arg,
    295 		      htab_alloc_with_arg alloc_f,
    296 		      htab_free_with_arg free_f)
    297 {
    298   htab_t result;
    299   unsigned int size_prime_index;
    300 
    301   size_prime_index = higher_prime_index (size);
    302   size = prime_tab[size_prime_index].prime;
    303 
    304   result = (htab_t) (*alloc_f) (alloc_arg, 1, sizeof (struct htab));
    305   if (result == NULL)
    306     return NULL;
    307   result->entries = (void **) (*alloc_f) (alloc_arg, size, sizeof (void *));
    308   if (result->entries == NULL)
    309     {
    310       if (free_f != NULL)
    311 	(*free_f) (alloc_arg, result);
    312       return NULL;
    313     }
    314   result->size = size;
    315   result->size_prime_index = size_prime_index;
    316   result->hash_f = hash_f;
    317   result->eq_f = eq_f;
    318   result->del_f = del_f;
    319   result->alloc_arg = alloc_arg;
    320   result->alloc_with_arg_f = alloc_f;
    321   result->free_with_arg_f = free_f;
    322   return result;
    323 }
    324 
    325 /*
    326 
    327 @deftypefn Supplemental htab_t htab_create_typed_alloc (size_t @var{size}, @
    328 htab_hash @var{hash_f}, htab_eq @var{eq_f}, htab_del @var{del_f}, @
    329 htab_alloc @var{alloc_tab_f}, htab_alloc @var{alloc_f}, @
    330 htab_free @var{free_f})
    331 
    332 This function creates a hash table that uses two different allocators
    333 @var{alloc_tab_f} and @var{alloc_f} to use for allocating the table itself
    334 and its entries respectively.  This is useful when variables of different
    335 types need to be allocated with different allocators.
    336 
    337 The created hash table is slightly larger than @var{size} and it is
    338 initially empty (all the hash table entries are @code{HTAB_EMPTY_ENTRY}).
    339 The function returns the created hash table, or @code{NULL} if memory
    340 allocation fails.
    341 
    342 @end deftypefn
    343 
    344 */
    345 
    346 htab_t
    347 htab_create_typed_alloc (size_t size, htab_hash hash_f, htab_eq eq_f,
    348 			 htab_del del_f, htab_alloc alloc_tab_f,
    349 			 htab_alloc alloc_f, htab_free free_f)
    350 {
    351   htab_t result;
    352   unsigned int size_prime_index;
    353 
    354   size_prime_index = higher_prime_index (size);
    355   size = prime_tab[size_prime_index].prime;
    356 
    357   result = (htab_t) (*alloc_tab_f) (1, sizeof (struct htab));
    358   if (result == NULL)
    359     return NULL;
    360   result->entries = (void **) (*alloc_f) (size, sizeof (void *));
    361   if (result->entries == NULL)
    362     {
    363       if (free_f != NULL)
    364 	(*free_f) (result);
    365       return NULL;
    366     }
    367   result->size = size;
    368   result->size_prime_index = size_prime_index;
    369   result->hash_f = hash_f;
    370   result->eq_f = eq_f;
    371   result->del_f = del_f;
    372   result->alloc_f = alloc_f;
    373   result->free_f = free_f;
    374   return result;
    375 }
    376 
    377 
    378 /* Update the function pointers and allocation parameter in the htab_t.  */
    379 
    380 void
    381 htab_set_functions_ex (htab_t htab, htab_hash hash_f, htab_eq eq_f,
    382                        htab_del del_f, void *alloc_arg,
    383                        htab_alloc_with_arg alloc_f, htab_free_with_arg free_f)
    384 {
    385   htab->hash_f = hash_f;
    386   htab->eq_f = eq_f;
    387   htab->del_f = del_f;
    388   htab->alloc_arg = alloc_arg;
    389   htab->alloc_with_arg_f = alloc_f;
    390   htab->free_with_arg_f = free_f;
    391 }
    392 
    393 /* These functions exist solely for backward compatibility.  */
    394 
    395 #undef htab_create
    396 htab_t
    397 htab_create (size_t size, htab_hash hash_f, htab_eq eq_f, htab_del del_f)
    398 {
    399   return htab_create_alloc (size, hash_f, eq_f, del_f, xcalloc, free);
    400 }
    401 
    402 htab_t
    403 htab_try_create (size_t size, htab_hash hash_f, htab_eq eq_f, htab_del del_f)
    404 {
    405   return htab_create_alloc (size, hash_f, eq_f, del_f, calloc, free);
    406 }
    407 
    408 /* This function frees all memory allocated for given hash table.
    409    Naturally the hash table must already exist. */
    410 
    411 void
    412 htab_delete (htab_t htab)
    413 {
    414   size_t size = htab_size (htab);
    415   void **entries = htab->entries;
    416   int i;
    417 
    418   if (htab->del_f)
    419     for (i = size - 1; i >= 0; i--)
    420       if (entries[i] != HTAB_EMPTY_ENTRY && entries[i] != HTAB_DELETED_ENTRY)
    421 	(*htab->del_f) (entries[i]);
    422 
    423   if (htab->free_f != NULL)
    424     {
    425       (*htab->free_f) (entries);
    426       (*htab->free_f) (htab);
    427     }
    428   else if (htab->free_with_arg_f != NULL)
    429     {
    430       (*htab->free_with_arg_f) (htab->alloc_arg, entries);
    431       (*htab->free_with_arg_f) (htab->alloc_arg, htab);
    432     }
    433 }
    434 
    435 /* This function clears all entries in the given hash table.  */
    436 
    437 void
    438 htab_empty (htab_t htab)
    439 {
    440   size_t size = htab_size (htab);
    441   void **entries = htab->entries;
    442   int i;
    443 
    444   if (htab->del_f)
    445     for (i = size - 1; i >= 0; i--)
    446       if (entries[i] != HTAB_EMPTY_ENTRY && entries[i] != HTAB_DELETED_ENTRY)
    447 	(*htab->del_f) (entries[i]);
    448 
    449   /* Instead of clearing megabyte, downsize the table.  */
    450   if (size > 1024*1024 / sizeof (void *))
    451     {
    452       int nindex = higher_prime_index (1024 / sizeof (void *));
    453       int nsize = prime_tab[nindex].prime;
    454 
    455       if (htab->free_f != NULL)
    456 	(*htab->free_f) (htab->entries);
    457       else if (htab->free_with_arg_f != NULL)
    458 	(*htab->free_with_arg_f) (htab->alloc_arg, htab->entries);
    459       if (htab->alloc_with_arg_f != NULL)
    460 	htab->entries = (void **) (*htab->alloc_with_arg_f) (htab->alloc_arg, nsize,
    461 							     sizeof (void *));
    462       else
    463 	htab->entries = (void **) (*htab->alloc_f) (nsize, sizeof (void *));
    464      htab->size = nsize;
    465      htab->size_prime_index = nindex;
    466     }
    467   else
    468     memset (entries, 0, size * sizeof (void *));
    469   htab->n_deleted = 0;
    470   htab->n_elements = 0;
    471 }
    472 
    473 /* Similar to htab_find_slot, but without several unwanted side effects:
    474     - Does not call htab->eq_f when it finds an existing entry.
    475     - Does not change the count of elements/searches/collisions in the
    476       hash table.
    477    This function also assumes there are no deleted entries in the table.
    478    HASH is the hash value for the element to be inserted.  */
    479 
    480 static void **
    481 find_empty_slot_for_expand (htab_t htab, hashval_t hash)
    482 {
    483   hashval_t index = htab_mod (hash, htab);
    484   size_t size = htab_size (htab);
    485   void **slot = htab->entries + index;
    486   hashval_t hash2;
    487 
    488   if (*slot == HTAB_EMPTY_ENTRY)
    489     return slot;
    490   else if (*slot == HTAB_DELETED_ENTRY)
    491     abort ();
    492 
    493   hash2 = htab_mod_m2 (hash, htab);
    494   for (;;)
    495     {
    496       index += hash2;
    497       if (index >= size)
    498 	index -= size;
    499 
    500       slot = htab->entries + index;
    501       if (*slot == HTAB_EMPTY_ENTRY)
    502 	return slot;
    503       else if (*slot == HTAB_DELETED_ENTRY)
    504 	abort ();
    505     }
    506 }
    507 
    508 /* The following function changes size of memory allocated for the
    509    entries and repeatedly inserts the table elements.  The occupancy
    510    of the table after the call will be about 50%.  Naturally the hash
    511    table must already exist.  Remember also that the place of the
    512    table entries is changed.  If memory allocation failures are allowed,
    513    this function will return zero, indicating that the table could not be
    514    expanded.  If all goes well, it will return a non-zero value.  */
    515 
    516 static int
    517 htab_expand (htab_t htab)
    518 {
    519   void **oentries;
    520   void **olimit;
    521   void **p;
    522   void **nentries;
    523   size_t nsize, osize, elts;
    524   unsigned int oindex, nindex;
    525 
    526   oentries = htab->entries;
    527   oindex = htab->size_prime_index;
    528   osize = htab->size;
    529   olimit = oentries + osize;
    530   elts = htab_elements (htab);
    531 
    532   /* Resize only when table after removal of unused elements is either
    533      too full or too empty.  */
    534   if (elts * 2 > osize || (elts * 8 < osize && osize > 32))
    535     {
    536       nindex = higher_prime_index (elts * 2);
    537       nsize = prime_tab[nindex].prime;
    538     }
    539   else
    540     {
    541       nindex = oindex;
    542       nsize = osize;
    543     }
    544 
    545   if (htab->alloc_with_arg_f != NULL)
    546     nentries = (void **) (*htab->alloc_with_arg_f) (htab->alloc_arg, nsize,
    547 						    sizeof (void *));
    548   else
    549     nentries = (void **) (*htab->alloc_f) (nsize, sizeof (void *));
    550   if (nentries == NULL)
    551     return 0;
    552   htab->entries = nentries;
    553   htab->size = nsize;
    554   htab->size_prime_index = nindex;
    555   htab->n_elements -= htab->n_deleted;
    556   htab->n_deleted = 0;
    557 
    558   p = oentries;
    559   do
    560     {
    561       void *x = *p;
    562 
    563       if (x != HTAB_EMPTY_ENTRY && x != HTAB_DELETED_ENTRY)
    564 	{
    565 	  void **q = find_empty_slot_for_expand (htab, (*htab->hash_f) (x));
    566 
    567 	  *q = x;
    568 	}
    569 
    570       p++;
    571     }
    572   while (p < olimit);
    573 
    574   if (htab->free_f != NULL)
    575     (*htab->free_f) (oentries);
    576   else if (htab->free_with_arg_f != NULL)
    577     (*htab->free_with_arg_f) (htab->alloc_arg, oentries);
    578   return 1;
    579 }
    580 
    581 /* This function searches for a hash table entry equal to the given
    582    element.  It cannot be used to insert or delete an element.  */
    583 
    584 void *
    585 htab_find_with_hash (htab_t htab, const void *element, hashval_t hash)
    586 {
    587   hashval_t index, hash2;
    588   size_t size;
    589   void *entry;
    590 
    591   htab->searches++;
    592   size = htab_size (htab);
    593   index = htab_mod (hash, htab);
    594 
    595   entry = htab->entries[index];
    596   if (entry == HTAB_EMPTY_ENTRY
    597       || (entry != HTAB_DELETED_ENTRY && (*htab->eq_f) (entry, element)))
    598     return entry;
    599 
    600   hash2 = htab_mod_m2 (hash, htab);
    601   for (;;)
    602     {
    603       htab->collisions++;
    604       index += hash2;
    605       if (index >= size)
    606 	index -= size;
    607 
    608       entry = htab->entries[index];
    609       if (entry == HTAB_EMPTY_ENTRY
    610 	  || (entry != HTAB_DELETED_ENTRY && (*htab->eq_f) (entry, element)))
    611 	return entry;
    612     }
    613 }
    614 
    615 /* Like htab_find_slot_with_hash, but compute the hash value from the
    616    element.  */
    617 
    618 void *
    619 htab_find (htab_t htab, const void *element)
    620 {
    621   return htab_find_with_hash (htab, element, (*htab->hash_f) (element));
    622 }
    623 
    624 /* This function searches for a hash table slot containing an entry
    625    equal to the given element.  To delete an entry, call this with
    626    insert=NO_INSERT, then call htab_clear_slot on the slot returned
    627    (possibly after doing some checks).  To insert an entry, call this
    628    with insert=INSERT, then write the value you want into the returned
    629    slot.  When inserting an entry, NULL may be returned if memory
    630    allocation fails.  */
    631 
    632 void **
    633 htab_find_slot_with_hash (htab_t htab, const void *element,
    634                           hashval_t hash, enum insert_option insert)
    635 {
    636   void **first_deleted_slot;
    637   hashval_t index, hash2;
    638   size_t size;
    639   void *entry;
    640 
    641   size = htab_size (htab);
    642   if (insert == INSERT && size * 3 <= htab->n_elements * 4)
    643     {
    644       if (htab_expand (htab) == 0)
    645 	return NULL;
    646       size = htab_size (htab);
    647     }
    648 
    649   index = htab_mod (hash, htab);
    650 
    651   htab->searches++;
    652   first_deleted_slot = NULL;
    653 
    654   entry = htab->entries[index];
    655   if (entry == HTAB_EMPTY_ENTRY)
    656     goto empty_entry;
    657   else if (entry == HTAB_DELETED_ENTRY)
    658     first_deleted_slot = &htab->entries[index];
    659   else if ((*htab->eq_f) (entry, element))
    660     return &htab->entries[index];
    661 
    662   hash2 = htab_mod_m2 (hash, htab);
    663   for (;;)
    664     {
    665       htab->collisions++;
    666       index += hash2;
    667       if (index >= size)
    668 	index -= size;
    669 
    670       entry = htab->entries[index];
    671       if (entry == HTAB_EMPTY_ENTRY)
    672 	goto empty_entry;
    673       else if (entry == HTAB_DELETED_ENTRY)
    674 	{
    675 	  if (!first_deleted_slot)
    676 	    first_deleted_slot = &htab->entries[index];
    677 	}
    678       else if ((*htab->eq_f) (entry, element))
    679 	return &htab->entries[index];
    680     }
    681 
    682  empty_entry:
    683   if (insert == NO_INSERT)
    684     return NULL;
    685 
    686   if (first_deleted_slot)
    687     {
    688       htab->n_deleted--;
    689       *first_deleted_slot = HTAB_EMPTY_ENTRY;
    690       return first_deleted_slot;
    691     }
    692 
    693   htab->n_elements++;
    694   return &htab->entries[index];
    695 }
    696 
    697 /* Like htab_find_slot_with_hash, but compute the hash value from the
    698    element.  */
    699 
    700 void **
    701 htab_find_slot (htab_t htab, const void *element, enum insert_option insert)
    702 {
    703   return htab_find_slot_with_hash (htab, element, (*htab->hash_f) (element),
    704 				   insert);
    705 }
    706 
    707 /* This function deletes an element with the given value from hash
    708    table (the hash is computed from the element).  If there is no matching
    709    element in the hash table, this function does nothing.  */
    710 
    711 void
    712 htab_remove_elt (htab_t htab, const void *element)
    713 {
    714   htab_remove_elt_with_hash (htab, element, (*htab->hash_f) (element));
    715 }
    716 
    717 
    718 /* This function deletes an element with the given value from hash
    719    table.  If there is no matching element in the hash table, this
    720    function does nothing.  */
    721 
    722 void
    723 htab_remove_elt_with_hash (htab_t htab, const void *element, hashval_t hash)
    724 {
    725   void **slot;
    726 
    727   slot = htab_find_slot_with_hash (htab, element, hash, NO_INSERT);
    728   if (slot == NULL)
    729     return;
    730 
    731   if (htab->del_f)
    732     (*htab->del_f) (*slot);
    733 
    734   *slot = HTAB_DELETED_ENTRY;
    735   htab->n_deleted++;
    736 }
    737 
    738 /* This function clears a specified slot in a hash table.  It is
    739    useful when you've already done the lookup and don't want to do it
    740    again.  */
    741 
    742 void
    743 htab_clear_slot (htab_t htab, void **slot)
    744 {
    745   if (slot < htab->entries || slot >= htab->entries + htab_size (htab)
    746       || *slot == HTAB_EMPTY_ENTRY || *slot == HTAB_DELETED_ENTRY)
    747     abort ();
    748 
    749   if (htab->del_f)
    750     (*htab->del_f) (*slot);
    751 
    752   *slot = HTAB_DELETED_ENTRY;
    753   htab->n_deleted++;
    754 }
    755 
    756 /* This function scans over the entire hash table calling
    757    CALLBACK for each live entry.  If CALLBACK returns false,
    758    the iteration stops.  INFO is passed as CALLBACK's second
    759    argument.  */
    760 
    761 void
    762 htab_traverse_noresize (htab_t htab, htab_trav callback, void *info)
    763 {
    764   void **slot;
    765   void **limit;
    766 
    767   slot = htab->entries;
    768   limit = slot + htab_size (htab);
    769 
    770   do
    771     {
    772       void *x = *slot;
    773 
    774       if (x != HTAB_EMPTY_ENTRY && x != HTAB_DELETED_ENTRY)
    775 	if (!(*callback) (slot, info))
    776 	  break;
    777     }
    778   while (++slot < limit);
    779 }
    780 
    781 /* Like htab_traverse_noresize, but does resize the table when it is
    782    too empty to improve effectivity of subsequent calls.  */
    783 
    784 void
    785 htab_traverse (htab_t htab, htab_trav callback, void *info)
    786 {
    787   size_t size = htab_size (htab);
    788   if (htab_elements (htab) * 8 < size && size > 32)
    789     htab_expand (htab);
    790 
    791   htab_traverse_noresize (htab, callback, info);
    792 }
    793 
    794 /* Return the fraction of fixed collisions during all work with given
    795    hash table. */
    796 
    797 double
    798 htab_collisions (htab_t htab)
    799 {
    800   if (htab->searches == 0)
    801     return 0.0;
    802 
    803   return (double) htab->collisions / (double) htab->searches;
    804 }
    805 
    806 /* Hash P as a null-terminated string.
    807 
    808    Copied from gcc/hashtable.c.  Zack had the following to say with respect
    809    to applicability, though note that unlike hashtable.c, this hash table
    810    implementation re-hashes rather than chain buckets.
    811 
    812    http://gcc.gnu.org/ml/gcc-patches/2001-08/msg01021.html
    813    From: Zack Weinberg <zackw (at) panix.com>
    814    Date: Fri, 17 Aug 2001 02:15:56 -0400
    815 
    816    I got it by extracting all the identifiers from all the source code
    817    I had lying around in mid-1999, and testing many recurrences of
    818    the form "H_n = H_{n-1} * K + c_n * L + M" where K, L, M were either
    819    prime numbers or the appropriate identity.  This was the best one.
    820    I don't remember exactly what constituted "best", except I was
    821    looking at bucket-length distributions mostly.
    822 
    823    So it should be very good at hashing identifiers, but might not be
    824    as good at arbitrary strings.
    825 
    826    I'll add that it thoroughly trounces the hash functions recommended
    827    for this use at http://burtleburtle.net/bob/hash/index.html, both
    828    on speed and bucket distribution.  I haven't tried it against the
    829    function they just started using for Perl's hashes.  */
    830 
    831 hashval_t
    832 htab_hash_string (const void *p)
    833 {
    834   const unsigned char *str = (const unsigned char *) p;
    835   hashval_t r = 0;
    836   unsigned char c;
    837 
    838   while ((c = *str++) != 0)
    839     r = r * 67 + c - 113;
    840 
    841   return r;
    842 }
    843 
    844 /* An equality function for null-terminated strings.  */
    845 int
    846 htab_eq_string (const void *a, const void *b)
    847 {
    848   return strcmp ((const char *) a, (const char *) b) == 0;
    849 }
    850 
    851 /* DERIVED FROM:
    852 --------------------------------------------------------------------
    853 lookup2.c, by Bob Jenkins, December 1996, Public Domain.
    854 hash(), hash2(), hash3, and mix() are externally useful functions.
    855 Routines to test the hash are included if SELF_TEST is defined.
    856 You can use this free for any purpose.  It has no warranty.
    857 --------------------------------------------------------------------
    858 */
    859 
    860 /*
    861 --------------------------------------------------------------------
    862 mix -- mix 3 32-bit values reversibly.
    863 For every delta with one or two bit set, and the deltas of all three
    864   high bits or all three low bits, whether the original value of a,b,c
    865   is almost all zero or is uniformly distributed,
    866 * If mix() is run forward or backward, at least 32 bits in a,b,c
    867   have at least 1/4 probability of changing.
    868 * If mix() is run forward, every bit of c will change between 1/3 and
    869   2/3 of the time.  (Well, 22/100 and 78/100 for some 2-bit deltas.)
    870 mix() was built out of 36 single-cycle latency instructions in a
    871   structure that could supported 2x parallelism, like so:
    872       a -= b;
    873       a -= c; x = (c>>13);
    874       b -= c; a ^= x;
    875       b -= a; x = (a<<8);
    876       c -= a; b ^= x;
    877       c -= b; x = (b>>13);
    878       ...
    879   Unfortunately, superscalar Pentiums and Sparcs can't take advantage
    880   of that parallelism.  They've also turned some of those single-cycle
    881   latency instructions into multi-cycle latency instructions.  Still,
    882   this is the fastest good hash I could find.  There were about 2^^68
    883   to choose from.  I only looked at a billion or so.
    884 --------------------------------------------------------------------
    885 */
    886 /* same, but slower, works on systems that might have 8 byte hashval_t's */
    887 #define mix(a,b,c) \
    888 { \
    889   a -= b; a -= c; a ^= (c>>13); \
    890   b -= c; b -= a; b ^= (a<< 8); \
    891   c -= a; c -= b; c ^= ((b&0xffffffff)>>13); \
    892   a -= b; a -= c; a ^= ((c&0xffffffff)>>12); \
    893   b -= c; b -= a; b = (b ^ (a<<16)) & 0xffffffff; \
    894   c -= a; c -= b; c = (c ^ (b>> 5)) & 0xffffffff; \
    895   a -= b; a -= c; a = (a ^ (c>> 3)) & 0xffffffff; \
    896   b -= c; b -= a; b = (b ^ (a<<10)) & 0xffffffff; \
    897   c -= a; c -= b; c = (c ^ (b>>15)) & 0xffffffff; \
    898 }
    899 
    900 /*
    901 --------------------------------------------------------------------
    902 hash() -- hash a variable-length key into a 32-bit value
    903   k     : the key (the unaligned variable-length array of bytes)
    904   len   : the length of the key, counting by bytes
    905   level : can be any 4-byte value
    906 Returns a 32-bit value.  Every bit of the key affects every bit of
    907 the return value.  Every 1-bit and 2-bit delta achieves avalanche.
    908 About 36+6len instructions.
    909 
    910 The best hash table sizes are powers of 2.  There is no need to do
    911 mod a prime (mod is sooo slow!).  If you need less than 32 bits,
    912 use a bitmask.  For example, if you need only 10 bits, do
    913   h = (h & hashmask(10));
    914 In which case, the hash table should have hashsize(10) elements.
    915 
    916 If you are hashing n strings (ub1 **)k, do it like this:
    917   for (i=0, h=0; i<n; ++i) h = hash( k[i], len[i], h);
    918 
    919 By Bob Jenkins, 1996.  bob_jenkins (at) burtleburtle.net.  You may use this
    920 code any way you wish, private, educational, or commercial.  It's free.
    921 
    922 See http://burtleburtle.net/bob/hash/evahash.html
    923 Use for hash table lookup, or anything where one collision in 2^32 is
    924 acceptable.  Do NOT use for cryptographic purposes.
    925 --------------------------------------------------------------------
    926 */
    927 
    928 hashval_t
    929 iterative_hash (const void *k_in /* the key */,
    930                 register size_t  length /* the length of the key */,
    931                 register hashval_t initval /* the previous hash, or
    932                                               an arbitrary value */)
    933 {
    934   register const unsigned char *k = (const unsigned char *)k_in;
    935   register hashval_t a,b,c,len;
    936 
    937   /* Set up the internal state */
    938   len = length;
    939   a = b = 0x9e3779b9;  /* the golden ratio; an arbitrary value */
    940   c = initval;           /* the previous hash value */
    941 
    942   /*---------------------------------------- handle most of the key */
    943   /* Provide specialization for the aligned case for targets that cannot
    944      efficiently perform misaligned loads of a merged access.  */
    945   if ((((size_t)k)&3) == 0)
    946     while (len >= 12)
    947       {
    948 	a += (k[0] | ((hashval_t)k[1]<<8) | ((hashval_t)k[2]<<16) | ((hashval_t)k[3]<<24));
    949 	b += (k[4] | ((hashval_t)k[5]<<8) | ((hashval_t)k[6]<<16) | ((hashval_t)k[7]<<24));
    950 	c += (k[8] | ((hashval_t)k[9]<<8) | ((hashval_t)k[10]<<16)| ((hashval_t)k[11]<<24));
    951 	mix(a,b,c);
    952 	k += 12; len -= 12;
    953       }
    954   else /* unaligned */
    955     while (len >= 12)
    956       {
    957 	a += (k[0] | ((hashval_t)k[1]<<8) | ((hashval_t)k[2]<<16) | ((hashval_t)k[3]<<24));
    958 	b += (k[4] | ((hashval_t)k[5]<<8) | ((hashval_t)k[6]<<16) | ((hashval_t)k[7]<<24));
    959 	c += (k[8] | ((hashval_t)k[9]<<8) | ((hashval_t)k[10]<<16)| ((hashval_t)k[11]<<24));
    960 	mix(a,b,c);
    961 	k += 12; len -= 12;
    962       }
    963 
    964   /*------------------------------------- handle the last 11 bytes */
    965   c += length;
    966   switch(len)              /* all the case statements fall through */
    967     {
    968     case 11: c+=((hashval_t)k[10]<<24);	/* fall through */
    969     case 10: c+=((hashval_t)k[9]<<16);	/* fall through */
    970     case 9 : c+=((hashval_t)k[8]<<8);	/* fall through */
    971       /* the first byte of c is reserved for the length */
    972     case 8 : b+=((hashval_t)k[7]<<24);	/* fall through */
    973     case 7 : b+=((hashval_t)k[6]<<16);	/* fall through */
    974     case 6 : b+=((hashval_t)k[5]<<8);	/* fall through */
    975     case 5 : b+=k[4];			/* fall through */
    976     case 4 : a+=((hashval_t)k[3]<<24);	/* fall through */
    977     case 3 : a+=((hashval_t)k[2]<<16);	/* fall through */
    978     case 2 : a+=((hashval_t)k[1]<<8);	/* fall through */
    979     case 1 : a+=k[0];
    980       /* case 0: nothing left to add */
    981     }
    982   mix(a,b,c);
    983   /*-------------------------------------------- report the result */
    984   return c;
    985 }
    986 
    987 /* Returns a hash code for pointer P. Simplified version of evahash */
    988 
    989 static hashval_t
    990 hash_pointer (const void *p)
    991 {
    992   intptr_t v = (intptr_t) p;
    993   unsigned a, b, c;
    994 
    995   a = b = 0x9e3779b9;
    996   a += v >> (sizeof (intptr_t) * CHAR_BIT / 2);
    997   b += v & (((intptr_t) 1 << (sizeof (intptr_t) * CHAR_BIT / 2)) - 1);
    998   c = 0x42135234;
    999   mix (a, b, c);
   1000   return c;
   1001 }
   1002