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  1. /* cairo - a vector graphics library with display and print output
  2.  *
  3.  * Copyright © 2004 Red Hat, Inc.
  4.  * Copyright © 2005 Red Hat, Inc.
  5.  *
  6.  * This library is free software; you can redistribute it and/or
  7.  * modify it either under the terms of the GNU Lesser General Public
  8.  * License version 2.1 as published by the Free Software Foundation
  9.  * (the "LGPL") or, at your option, under the terms of the Mozilla
  10.  * Public License Version 1.1 (the "MPL"). If you do not alter this
  11.  * notice, a recipient may use your version of this file under either
  12.  * the MPL or the LGPL.
  13.  *
  14.  * You should have received a copy of the LGPL along with this library
  15.  * in the file COPYING-LGPL-2.1; if not, write to the Free Software
  16.  * Foundation, Inc., 51 Franklin Street, Suite 500, Boston, MA 02110-1335, USA
  17.  * You should have received a copy of the MPL along with this library
  18.  * in the file COPYING-MPL-1.1
  19.  *
  20.  * The contents of this file are subject to the Mozilla Public License
  21.  * Version 1.1 (the "License"); you may not use this file except in
  22.  * compliance with the License. You may obtain a copy of the License at
  23.  * http://www.mozilla.org/MPL/
  24.  *
  25.  * This software is distributed on an "AS IS" basis, WITHOUT WARRANTY
  26.  * OF ANY KIND, either express or implied. See the LGPL or the MPL for
  27.  * the specific language governing rights and limitations.
  28.  *
  29.  * The Original Code is the cairo graphics library.
  30.  *
  31.  * The Initial Developer of the Original Code is Red Hat, Inc.
  32.  *
  33.  * Contributor(s):
  34.  *      Keith Packard <keithp@keithp.com>
  35.  *      Graydon Hoare <graydon@redhat.com>
  36.  *      Carl Worth <cworth@cworth.org>
  37.  */
  38.  
  39. #include "cairoint.h"
  40. #include "cairo-error-private.h"
  41.  
  42. /*
  43.  * An entry can be in one of three states:
  44.  *
  45.  * FREE: Entry has never been used, terminates all searches.
  46.  *       Appears in the table as a %NULL pointer.
  47.  *
  48.  * DEAD: Entry had been live in the past. A dead entry can be reused
  49.  *       but does not terminate a search for an exact entry.
  50.  *       Appears in the table as a pointer to DEAD_ENTRY.
  51.  *
  52.  * LIVE: Entry is currently being used.
  53.  *       Appears in the table as any non-%NULL, non-DEAD_ENTRY pointer.
  54.  */
  55.  
  56. #define DEAD_ENTRY ((cairo_hash_entry_t *) 0x1)
  57.  
  58. #define ENTRY_IS_FREE(entry) ((entry) == NULL)
  59. #define ENTRY_IS_DEAD(entry) ((entry) == DEAD_ENTRY)
  60. #define ENTRY_IS_LIVE(entry) ((entry) >  DEAD_ENTRY)
  61.  
  62. /*
  63.  * This table is open-addressed with double hashing. Each table size
  64.  * is a prime and it makes for the "first" hash modulus; a second
  65.  * prime (2 less than the first prime) serves as the "second" hash
  66.  * modulus, which is smaller and thus guarantees a complete
  67.  * permutation of table indices.
  68.  *
  69.  * Hash tables are rehashed in order to keep between 12.5% and 50%
  70.  * entries in the hash table alive and at least 25% free. When table
  71.  * size is changed, the new table has about 25% live elements.
  72.  *
  73.  * The free entries guarantee an expected constant-time lookup.
  74.  * Doubling/halving the table in the described fashion guarantees
  75.  * amortized O(1) insertion/removal.
  76.  *
  77.  * This structure, and accompanying table, is borrowed/modified from the
  78.  * file xserver/render/glyph.c in the freedesktop.org x server, with
  79.  * permission (and suggested modification of doubling sizes) by Keith
  80.  * Packard.
  81.  */
  82.  
  83. static const unsigned long hash_table_sizes[] = {
  84.     43,
  85.     73,
  86.     151,
  87.     283,
  88.     571,
  89.     1153,
  90.     2269,
  91.     4519,
  92.     9013,
  93.     18043,
  94.     36109,
  95.     72091,
  96.     144409,
  97.     288361,
  98.     576883,
  99.     1153459,
  100.     2307163,
  101.     4613893,
  102.     9227641,
  103.     18455029,
  104.     36911011,
  105.     73819861,
  106.     147639589,
  107.     295279081,
  108.     590559793
  109. };
  110.  
  111. struct _cairo_hash_table {
  112.     cairo_hash_keys_equal_func_t keys_equal;
  113.  
  114.     cairo_hash_entry_t *cache[32];
  115.  
  116.     const unsigned long *table_size;
  117.     cairo_hash_entry_t **entries;
  118.  
  119.     unsigned long live_entries;
  120.     unsigned long free_entries;
  121.     unsigned long iterating;   /* Iterating, no insert, no resize */
  122. };
  123.  
  124. /**
  125.  * _cairo_hash_table_uid_keys_equal:
  126.  * @key_a: the first key to be compared
  127.  * @key_b: the second key to be compared
  128.  *
  129.  * Provides a #cairo_hash_keys_equal_func_t which always returns
  130.  * %TRUE. This is useful to create hash tables using keys whose hash
  131.  * completely describes the key, because in this special case
  132.  * comparing the hashes is sufficient to guarantee that the keys are
  133.  * equal.
  134.  *
  135.  * Return value: %TRUE.
  136.  **/
  137. static cairo_bool_t
  138. _cairo_hash_table_uid_keys_equal (const void *key_a, const void *key_b)
  139. {
  140.     return TRUE;
  141. }
  142.  
  143. /**
  144.  * _cairo_hash_table_create:
  145.  * @keys_equal: a function to return %TRUE if two keys are equal
  146.  *
  147.  * Creates a new hash table which will use the keys_equal() function
  148.  * to compare hash keys. Data is provided to the hash table in the
  149.  * form of user-derived versions of #cairo_hash_entry_t. A hash entry
  150.  * must be able to hold both a key (including a hash code) and a
  151.  * value. Sometimes only the key will be necessary, (as in
  152.  * _cairo_hash_table_remove), and other times both a key and a value
  153.  * will be necessary, (as in _cairo_hash_table_insert).
  154.  *
  155.  * If @keys_equal is %NULL, two keys will be considered equal if and
  156.  * only if their hashes are equal.
  157.  *
  158.  * See #cairo_hash_entry_t for more details.
  159.  *
  160.  * Return value: the new hash table or %NULL if out of memory.
  161.  **/
  162. cairo_hash_table_t *
  163. _cairo_hash_table_create (cairo_hash_keys_equal_func_t keys_equal)
  164. {
  165.     cairo_hash_table_t *hash_table;
  166.  
  167.     hash_table = malloc (sizeof (cairo_hash_table_t));
  168.     if (unlikely (hash_table == NULL)) {
  169.         _cairo_error_throw (CAIRO_STATUS_NO_MEMORY);
  170.         return NULL;
  171.     }
  172.  
  173.     if (keys_equal == NULL)
  174.         hash_table->keys_equal = _cairo_hash_table_uid_keys_equal;
  175.     else
  176.         hash_table->keys_equal = keys_equal;
  177.  
  178.     memset (&hash_table->cache, 0, sizeof (hash_table->cache));
  179.     hash_table->table_size = &hash_table_sizes[0];
  180.  
  181.     hash_table->entries = calloc (*hash_table->table_size,
  182.                                   sizeof (cairo_hash_entry_t *));
  183.     if (unlikely (hash_table->entries == NULL)) {
  184.         _cairo_error_throw (CAIRO_STATUS_NO_MEMORY);
  185.         free (hash_table);
  186.         return NULL;
  187.     }
  188.  
  189.     hash_table->live_entries = 0;
  190.     hash_table->free_entries = *hash_table->table_size;
  191.     hash_table->iterating = 0;
  192.  
  193.     return hash_table;
  194. }
  195.  
  196. /**
  197.  * _cairo_hash_table_destroy:
  198.  * @hash_table: an empty hash table to destroy
  199.  *
  200.  * Immediately destroys the given hash table, freeing all resources
  201.  * associated with it.
  202.  *
  203.  * WARNING: The hash_table must have no live entries in it before
  204.  * _cairo_hash_table_destroy is called. It is a fatal error otherwise,
  205.  * and this function will halt. The rationale for this behavior is to
  206.  * avoid memory leaks and to avoid needless complication of the API
  207.  * with destroy notifiy callbacks.
  208.  *
  209.  * WARNING: The hash_table must have no running iterators in it when
  210.  * _cairo_hash_table_destroy is called. It is a fatal error otherwise,
  211.  * and this function will halt.
  212.  **/
  213. void
  214. _cairo_hash_table_destroy (cairo_hash_table_t *hash_table)
  215. {
  216.     /* The hash table must be empty. Otherwise, halt. */
  217.     assert (hash_table->live_entries == 0);
  218.     /* No iterators can be running. Otherwise, halt. */
  219.     assert (hash_table->iterating == 0);
  220.  
  221.     free (hash_table->entries);
  222.     free (hash_table);
  223. }
  224.  
  225. static cairo_hash_entry_t **
  226. _cairo_hash_table_lookup_unique_key (cairo_hash_table_t *hash_table,
  227.                                      cairo_hash_entry_t *key)
  228. {
  229.     unsigned long table_size, i, idx, step;
  230.     cairo_hash_entry_t **entry;
  231.  
  232.     table_size = *hash_table->table_size;
  233.     idx = key->hash % table_size;
  234.  
  235.     entry = &hash_table->entries[idx];
  236.     if (! ENTRY_IS_LIVE (*entry))
  237.         return entry;
  238.  
  239.     i = 1;
  240.     step = 1 + key->hash % (table_size - 2);
  241.     do {
  242.         idx += step;
  243.         if (idx >= table_size)
  244.             idx -= table_size;
  245.  
  246.         entry = &hash_table->entries[idx];
  247.         if (! ENTRY_IS_LIVE (*entry))
  248.             return entry;
  249.     } while (++i < table_size);
  250.  
  251.     ASSERT_NOT_REACHED;
  252.     return NULL;
  253. }
  254.  
  255. /**
  256.  * _cairo_hash_table_manage:
  257.  * @hash_table: a hash table
  258.  *
  259.  * Resize the hash table if the number of entries has gotten much
  260.  * bigger or smaller than the ideal number of entries for the current
  261.  * size and guarantee some free entries to be used as lookup
  262.  * termination points.
  263.  *
  264.  * Return value: %CAIRO_STATUS_SUCCESS if successful or
  265.  * %CAIRO_STATUS_NO_MEMORY if out of memory.
  266.  **/
  267. static cairo_status_t
  268. _cairo_hash_table_manage (cairo_hash_table_t *hash_table)
  269. {
  270.     cairo_hash_table_t tmp;
  271.     unsigned long new_size, i;
  272.  
  273.     /* Keep between 12.5% and 50% entries in the hash table alive and
  274.      * at least 25% free. */
  275.     unsigned long live_high = *hash_table->table_size >> 1;
  276.     unsigned long live_low = live_high >> 2;
  277.     unsigned long free_low = live_high >> 1;
  278.  
  279.     tmp = *hash_table;
  280.  
  281.     if (hash_table->live_entries > live_high)
  282.     {
  283.         tmp.table_size = hash_table->table_size + 1;
  284.         /* This code is being abused if we can't make a table big enough. */
  285.         assert (tmp.table_size - hash_table_sizes <
  286.                 ARRAY_LENGTH (hash_table_sizes));
  287.     }
  288.     else if (hash_table->live_entries < live_low)
  289.     {
  290.         /* Can't shrink if we're at the smallest size */
  291.         if (hash_table->table_size == &hash_table_sizes[0])
  292.             tmp.table_size = hash_table->table_size;
  293.         else
  294.             tmp.table_size = hash_table->table_size - 1;
  295.     }
  296.  
  297.     if (tmp.table_size == hash_table->table_size &&
  298.         hash_table->free_entries > free_low)
  299.     {
  300.         /* The number of live entries is within the desired bounds
  301.          * (we're not going to resize the table) and we have enough
  302.          * free entries. Do nothing. */
  303.         return CAIRO_STATUS_SUCCESS;
  304.     }
  305.  
  306.     new_size = *tmp.table_size;
  307.     tmp.entries = calloc (new_size, sizeof (cairo_hash_entry_t*));
  308.     if (unlikely (tmp.entries == NULL))
  309.         return _cairo_error (CAIRO_STATUS_NO_MEMORY);
  310.  
  311.     for (i = 0; i < *hash_table->table_size; ++i) {
  312.         if (ENTRY_IS_LIVE (hash_table->entries[i])) {
  313.             *_cairo_hash_table_lookup_unique_key (&tmp, hash_table->entries[i])
  314.                 = hash_table->entries[i];
  315.         }
  316.     }
  317.  
  318.     free (hash_table->entries);
  319.     hash_table->entries = tmp.entries;
  320.     hash_table->table_size = tmp.table_size;
  321.     hash_table->free_entries = new_size - hash_table->live_entries;
  322.  
  323.     return CAIRO_STATUS_SUCCESS;
  324. }
  325.  
  326. /**
  327.  * _cairo_hash_table_lookup:
  328.  * @hash_table: a hash table
  329.  * @key: the key of interest
  330.  *
  331.  * Performs a lookup in @hash_table looking for an entry which has a
  332.  * key that matches @key, (as determined by the keys_equal() function
  333.  * passed to _cairo_hash_table_create).
  334.  *
  335.  * Return value: the matching entry, of %NULL if no match was found.
  336.  **/
  337. void *
  338. _cairo_hash_table_lookup (cairo_hash_table_t *hash_table,
  339.                           cairo_hash_entry_t *key)
  340. {
  341.     cairo_hash_entry_t *entry;
  342.     unsigned long table_size, i, idx, step;
  343.     unsigned long hash = key->hash;
  344.  
  345.     entry = hash_table->cache[hash & 31];
  346.     if (entry && entry->hash == hash && hash_table->keys_equal (key, entry))
  347.         return entry;
  348.  
  349.     table_size = *hash_table->table_size;
  350.     idx = hash % table_size;
  351.  
  352.     entry = hash_table->entries[idx];
  353.     if (ENTRY_IS_LIVE (entry)) {
  354.         if (entry->hash == hash && hash_table->keys_equal (key, entry))
  355.                 goto insert_cache;
  356.     } else if (ENTRY_IS_FREE (entry))
  357.         return NULL;
  358.  
  359.     i = 1;
  360.     step = 1 + hash % (table_size - 2);
  361.     do {
  362.         idx += step;
  363.         if (idx >= table_size)
  364.             idx -= table_size;
  365.  
  366.         entry = hash_table->entries[idx];
  367.         if (ENTRY_IS_LIVE (entry)) {
  368.             if (entry->hash == hash && hash_table->keys_equal (key, entry))
  369.                     goto insert_cache;
  370.         } else if (ENTRY_IS_FREE (entry))
  371.             return NULL;
  372.     } while (++i < table_size);
  373.  
  374.     ASSERT_NOT_REACHED;
  375.     return NULL;
  376.  
  377. insert_cache:
  378.     hash_table->cache[hash & 31] = entry;
  379.     return entry;
  380. }
  381.  
  382. /**
  383.  * _cairo_hash_table_random_entry:
  384.  * @hash_table: a hash table
  385.  * @predicate: a predicate function.
  386.  *
  387.  * Find a random entry in the hash table satisfying the given
  388.  * @predicate.
  389.  *
  390.  * We use the same algorithm as the lookup algorithm to walk over the
  391.  * entries in the hash table in a pseudo-random order. Walking
  392.  * linearly would favor entries following gaps in the hash table. We
  393.  * could also call rand() repeatedly, which works well for almost-full
  394.  * tables, but degrades when the table is almost empty, or predicate
  395.  * returns %TRUE for most entries.
  396.  *
  397.  * Return value: a random live entry or %NULL if there are no entries
  398.  * that match the given predicate. In particular, if predicate is
  399.  * %NULL, a %NULL return value indicates that the table is empty.
  400.  **/
  401. void *
  402. _cairo_hash_table_random_entry (cairo_hash_table_t         *hash_table,
  403.                                 cairo_hash_predicate_func_t predicate)
  404. {
  405.     cairo_hash_entry_t *entry;
  406.     unsigned long hash;
  407.     unsigned long table_size, i, idx, step;
  408.  
  409.     assert (predicate != NULL);
  410.  
  411.     table_size = *hash_table->table_size;
  412.     hash = rand ();
  413.     idx = hash % table_size;
  414.  
  415.     entry = hash_table->entries[idx];
  416.     if (ENTRY_IS_LIVE (entry) && predicate (entry))
  417.         return entry;
  418.  
  419.     i = 1;
  420.     step = 1 + hash % (table_size - 2);
  421.     do {
  422.         idx += step;
  423.         if (idx >= table_size)
  424.             idx -= table_size;
  425.  
  426.         entry = hash_table->entries[idx];
  427.         if (ENTRY_IS_LIVE (entry) && predicate (entry))
  428.             return entry;
  429.     } while (++i < table_size);
  430.  
  431.     return NULL;
  432. }
  433.  
  434. /**
  435.  * _cairo_hash_table_insert:
  436.  * @hash_table: a hash table
  437.  * @key_and_value: an entry to be inserted
  438.  *
  439.  * Insert the entry #key_and_value into the hash table.
  440.  *
  441.  * WARNING: There must not be an existing entry in the hash table
  442.  * with a matching key.
  443.  *
  444.  * WARNING: It is a fatal error to insert an element while
  445.  * an iterator is running
  446.  *
  447.  * Instead of using insert to replace an entry, consider just editing
  448.  * the entry obtained with _cairo_hash_table_lookup. Or if absolutely
  449.  * necessary, use _cairo_hash_table_remove first.
  450.  *
  451.  * Return value: %CAIRO_STATUS_SUCCESS if successful or
  452.  * %CAIRO_STATUS_NO_MEMORY if insufficient memory is available.
  453.  **/
  454. cairo_status_t
  455. _cairo_hash_table_insert (cairo_hash_table_t *hash_table,
  456.                           cairo_hash_entry_t *key_and_value)
  457. {
  458.     cairo_hash_entry_t **entry;
  459.     cairo_status_t status;
  460.  
  461.     /* Insert is illegal while an iterator is running. */
  462.     assert (hash_table->iterating == 0);
  463.  
  464.     status = _cairo_hash_table_manage (hash_table);
  465.     if (unlikely (status))
  466.         return status;
  467.  
  468.     entry = _cairo_hash_table_lookup_unique_key (hash_table, key_and_value);
  469.  
  470.     if (ENTRY_IS_FREE (*entry))
  471.         hash_table->free_entries--;
  472.  
  473.     *entry = key_and_value;
  474.     hash_table->cache[key_and_value->hash & 31] = key_and_value;
  475.     hash_table->live_entries++;
  476.  
  477.     return CAIRO_STATUS_SUCCESS;
  478. }
  479.  
  480. static cairo_hash_entry_t **
  481. _cairo_hash_table_lookup_exact_key (cairo_hash_table_t *hash_table,
  482.                                     cairo_hash_entry_t *key)
  483. {
  484.     unsigned long table_size, i, idx, step;
  485.     cairo_hash_entry_t **entry;
  486.  
  487.     table_size = *hash_table->table_size;
  488.     idx = key->hash % table_size;
  489.  
  490.     entry = &hash_table->entries[idx];
  491.     if (*entry == key)
  492.         return entry;
  493.  
  494.     i = 1;
  495.     step = 1 + key->hash % (table_size - 2);
  496.     do {
  497.         idx += step;
  498.         if (idx >= table_size)
  499.             idx -= table_size;
  500.  
  501.         entry = &hash_table->entries[idx];
  502.         if (*entry == key)
  503.             return entry;
  504.     } while (++i < table_size);
  505.  
  506.     ASSERT_NOT_REACHED;
  507.     return NULL;
  508. }
  509. /**
  510.  * _cairo_hash_table_remove:
  511.  * @hash_table: a hash table
  512.  * @key: key of entry to be removed
  513.  *
  514.  * Remove an entry from the hash table which points to @key.
  515.  *
  516.  * Return value: %CAIRO_STATUS_SUCCESS if successful or
  517.  * %CAIRO_STATUS_NO_MEMORY if out of memory.
  518.  **/
  519. void
  520. _cairo_hash_table_remove (cairo_hash_table_t *hash_table,
  521.                           cairo_hash_entry_t *key)
  522. {
  523.     *_cairo_hash_table_lookup_exact_key (hash_table, key) = DEAD_ENTRY;
  524.     hash_table->live_entries--;
  525.     hash_table->cache[key->hash & 31] = NULL;
  526.  
  527.     /* Check for table resize. Don't do this when iterating as this will
  528.      * reorder elements of the table and cause the iteration to potentially
  529.      * skip some elements. */
  530.     if (hash_table->iterating == 0) {
  531.         /* This call _can_ fail, but only in failing to allocate new
  532.          * memory to shrink the hash table. It does leave the table in a
  533.          * consistent state, and we've already succeeded in removing the
  534.          * entry, so we don't examine the failure status of this call. */
  535.         _cairo_hash_table_manage (hash_table);
  536.     }
  537. }
  538.  
  539. /**
  540.  * _cairo_hash_table_foreach:
  541.  * @hash_table: a hash table
  542.  * @hash_callback: function to be called for each live entry
  543.  * @closure: additional argument to be passed to @hash_callback
  544.  *
  545.  * Call @hash_callback for each live entry in the hash table, in a
  546.  * non-specified order.
  547.  *
  548.  * Entries in @hash_table may be removed by code executed from @hash_callback.
  549.  *
  550.  * Entries may not be inserted to @hash_table, nor may @hash_table
  551.  * be destroyed by code executed from @hash_callback. The relevant
  552.  * functions will halt in these cases.
  553.  **/
  554. void
  555. _cairo_hash_table_foreach (cairo_hash_table_t         *hash_table,
  556.                            cairo_hash_callback_func_t  hash_callback,
  557.                            void                       *closure)
  558. {
  559.     unsigned long i;
  560.     cairo_hash_entry_t *entry;
  561.  
  562.     /* Mark the table for iteration */
  563.     ++hash_table->iterating;
  564.     for (i = 0; i < *hash_table->table_size; i++) {
  565.         entry = hash_table->entries[i];
  566.         if (ENTRY_IS_LIVE(entry))
  567.             hash_callback (entry, closure);
  568.     }
  569.     /* If some elements were deleted during the iteration,
  570.      * the table may need resizing. Just do this every time
  571.      * as the check is inexpensive.
  572.      */
  573.     if (--hash_table->iterating == 0) {
  574.         /* Should we fail to shrink the hash table, it is left unaltered,
  575.          * and we don't need to propagate the error status. */
  576.         _cairo_hash_table_manage (hash_table);
  577.     }
  578. }
  579.