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/* hash - hashing table processing.
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Copyright (C) 1998, 1999, 2000, 2001, 2002, 2003 Free Software
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Written by Jim Meyering, 1992.
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This program is free software; you can redistribute it and/or modify
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it under the terms of the GNU General Public License as published by
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the Free Software Foundation; either version 2, or (at your option)
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This program is distributed in the hope that it will be useful,
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but WITHOUT ANY WARRANTY; without even the implied warranty of
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MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the
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GNU General Public License for more details.
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You should have received a copy of the GNU General Public License
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along with this program; if not, write to the Free Software Foundation,
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Inc., 59 Temple Place - Suite 330, Boston, MA 02111-1307, USA. */
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/* A generic hash table package. */
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/* Define USE_OBSTACK to 1 if you want the allocator to use obstacks instead
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of malloc. If you change USE_OBSTACK, you have to recompile! */
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#ifndef HAVE_DECL_FREE
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"this configure-time declaration test was not run"
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#ifndef HAVE_DECL_MALLOC
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"this configure-time declaration test was not run"
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# ifndef obstack_chunk_alloc
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# define obstack_chunk_alloc malloc
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# ifndef obstack_chunk_free
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# define obstack_chunk_free free
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/* The array of buckets starts at BUCKET and extends to BUCKET_LIMIT-1,
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for a possibility of N_BUCKETS. Among those, N_BUCKETS_USED buckets
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are not empty, there are N_ENTRIES active entries in the table. */
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struct hash_entry *bucket;
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struct hash_entry *bucket_limit;
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unsigned n_buckets_used;
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/* Tuning arguments, kept in a physicaly separate structure. */
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const Hash_tuning *tuning;
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/* Three functions are given to `hash_initialize', see the documentation
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block for this function. In a word, HASHER randomizes a user entry
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into a number up from 0 up to some maximum minus 1; COMPARATOR returns
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true if two user entries compare equally; and DATA_FREER is the cleanup
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function for a user entry. */
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Hash_comparator comparator;
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Hash_data_freer data_freer;
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/* A linked list of freed struct hash_entry structs. */
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struct hash_entry *free_entry_list;
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/* Whenever obstacks are used, it is possible to allocate all overflowed
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entries into a single stack, so they all can be freed in a single
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operation. It is not clear if the speedup is worth the trouble. */
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struct obstack entry_stack;
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/* A hash table contains many internal entries, each holding a pointer to
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some user provided data (also called a user entry). An entry indistinctly
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refers to both the internal entry and its associated user entry. A user
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entry contents may be hashed by a randomization function (the hashing
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function, or just `hasher' for short) into a number (or `slot') between 0
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and the current table size. At each slot position in the hash table,
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starts a linked chain of entries for which the user data all hash to this
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slot. A bucket is the collection of all entries hashing to the same slot.
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A good `hasher' function will distribute entries rather evenly in buckets.
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In the ideal case, the length of each bucket is roughly the number of
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entries divided by the table size. Finding the slot for a data is usually
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done in constant time by the `hasher', and the later finding of a precise
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entry is linear in time with the size of the bucket. Consequently, a
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larger hash table size (that is, a larger number of buckets) is prone to
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yielding shorter chains, *given* the `hasher' function behaves properly.
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Long buckets slow down the lookup algorithm. One might use big hash table
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sizes in hope to reduce the average length of buckets, but this might
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become inordinate, as unused slots in the hash table take some space. The
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best bet is to make sure you are using a good `hasher' function (beware
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that those are not that easy to write! :-), and to use a table size
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larger than the actual number of entries. */
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/* If an insertion makes the ratio of nonempty buckets to table size larger
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than the growth threshold (a number between 0.0 and 1.0), then increase
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the table size by multiplying by the growth factor (a number greater than
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1.0). The growth threshold defaults to 0.8, and the growth factor
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defaults to 1.414, meaning that the table will have doubled its size
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every second time 80% of the buckets get used. */
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#define DEFAULT_GROWTH_THRESHOLD 0.8
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#define DEFAULT_GROWTH_FACTOR 1.414
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/* If a deletion empties a bucket and causes the ratio of used buckets to
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table size to become smaller than the shrink threshold (a number between
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0.0 and 1.0), then shrink the table by multiplying by the shrink factor (a
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number greater than the shrink threshold but smaller than 1.0). The shrink
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threshold and factor default to 0.0 and 1.0, meaning that the table never
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#define DEFAULT_SHRINK_THRESHOLD 0.0
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#define DEFAULT_SHRINK_FACTOR 1.0
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/* Use this to initialize or reset a TUNING structure to
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some sensible values. */
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static const Hash_tuning default_tuning =
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DEFAULT_SHRINK_THRESHOLD,
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DEFAULT_SHRINK_FACTOR,
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DEFAULT_GROWTH_THRESHOLD,
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DEFAULT_GROWTH_FACTOR,
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/* Information and lookup. */
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/* The following few functions provide information about the overall hash
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table organization: the number of entries, number of buckets and maximum
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length of buckets. */
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/* Return the number of buckets in the hash table. The table size, the total
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number of buckets (used plus unused), or the maximum number of slots, are
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the same quantity. */
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hash_get_n_buckets (const Hash_table *table)
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return table->n_buckets;
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/* Return the number of slots in use (non-empty buckets). */
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hash_get_n_buckets_used (const Hash_table *table)
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return table->n_buckets_used;
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/* Return the number of active entries. */
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hash_get_n_entries (const Hash_table *table)
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return table->n_entries;
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/* Return the length of the longest chain (bucket). */
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hash_get_max_bucket_length (const Hash_table *table)
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struct hash_entry *bucket;
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unsigned max_bucket_length = 0;
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for (bucket = table->bucket; bucket < table->bucket_limit; bucket++)
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struct hash_entry *cursor = bucket;
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unsigned bucket_length = 1;
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while (cursor = cursor->next, cursor)
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if (bucket_length > max_bucket_length)
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max_bucket_length = bucket_length;
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return max_bucket_length;
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/* Do a mild validation of a hash table, by traversing it and checking two
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hash_table_ok (const Hash_table *table)
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struct hash_entry *bucket;
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unsigned n_buckets_used = 0;
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unsigned n_entries = 0;
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for (bucket = table->bucket; bucket < table->bucket_limit; bucket++)
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struct hash_entry *cursor = bucket;
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/* Count bucket head. */
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/* Count bucket overflow. */
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while (cursor = cursor->next, cursor)
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if (n_buckets_used == table->n_buckets_used && n_entries == table->n_entries)
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hash_print_statistics (const Hash_table *table, FILE *stream)
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unsigned n_entries = hash_get_n_entries (table);
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unsigned n_buckets = hash_get_n_buckets (table);
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unsigned n_buckets_used = hash_get_n_buckets_used (table);
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unsigned max_bucket_length = hash_get_max_bucket_length (table);
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fprintf (stream, "# entries: %u\n", n_entries);
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fprintf (stream, "# buckets: %u\n", n_buckets);
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fprintf (stream, "# buckets used: %u (%.2f%%)\n", n_buckets_used,
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(100.0 * n_buckets_used) / n_buckets);
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fprintf (stream, "max bucket length: %u\n", max_bucket_length);
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/* If ENTRY matches an entry already in the hash table, return the
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entry from the table. Otherwise, return NULL. */
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hash_lookup (const Hash_table *table, const void *entry)
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struct hash_entry *bucket
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= table->bucket + table->hasher (entry, table->n_buckets);
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struct hash_entry *cursor;
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if (! (bucket < table->bucket_limit))
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if (bucket->data == NULL)
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for (cursor = bucket; cursor; cursor = cursor->next)
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if (table->comparator (entry, cursor->data))
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/* The functions in this page traverse the hash table and process the
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contained entries. For the traversal to work properly, the hash table
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should not be resized nor modified while any particular entry is being
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processed. In particular, entries should not be added or removed. */
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/* Return the first data in the table, or NULL if the table is empty. */
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hash_get_first (const Hash_table *table)
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struct hash_entry *bucket;
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if (table->n_entries == 0)
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for (bucket = table->bucket; ; bucket++)
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if (! (bucket < table->bucket_limit))
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else if (bucket->data)
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/* Return the user data for the entry following ENTRY, where ENTRY has been
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returned by a previous call to either `hash_get_first' or `hash_get_next'.
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Return NULL if there are no more entries. */
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hash_get_next (const Hash_table *table, const void *entry)
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struct hash_entry *bucket
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= table->bucket + table->hasher (entry, table->n_buckets);
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struct hash_entry *cursor;
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if (! (bucket < table->bucket_limit))
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/* Find next entry in the same bucket. */
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for (cursor = bucket; cursor; cursor = cursor->next)
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if (cursor->data == entry && cursor->next)
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return cursor->next->data;
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/* Find first entry in any subsequent bucket. */
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while (++bucket < table->bucket_limit)
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/* Fill BUFFER with pointers to active user entries in the hash table, then
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return the number of pointers copied. Do not copy more than BUFFER_SIZE
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hash_get_entries (const Hash_table *table, void **buffer,
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unsigned buffer_size)
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unsigned counter = 0;
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struct hash_entry *bucket;
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struct hash_entry *cursor;
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for (bucket = table->bucket; bucket < table->bucket_limit; bucket++)
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for (cursor = bucket; cursor; cursor = cursor->next)
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if (counter >= buffer_size)
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buffer[counter++] = cursor->data;
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/* Call a PROCESSOR function for each entry of a hash table, and return the
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number of entries for which the processor function returned success. A
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pointer to some PROCESSOR_DATA which will be made available to each call to
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the processor function. The PROCESSOR accepts two arguments: the first is
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the user entry being walked into, the second is the value of PROCESSOR_DATA
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as received. The walking continue for as long as the PROCESSOR function
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returns nonzero. When it returns zero, the walking is interrupted. */
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hash_do_for_each (const Hash_table *table, Hash_processor processor,
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void *processor_data)
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unsigned counter = 0;
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struct hash_entry *bucket;
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struct hash_entry *cursor;
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for (bucket = table->bucket; bucket < table->bucket_limit; bucket++)
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for (cursor = bucket; cursor; cursor = cursor->next)
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if (!(*processor) (cursor->data, processor_data))
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/* Allocation and clean-up. */
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/* Return a hash index for a NUL-terminated STRING between 0 and N_BUCKETS-1.
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This is a convenience routine for constructing other hashing functions. */
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/* About hashings, Paul Eggert writes to me (FP), on 1994-01-01: "Please see
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B. J. McKenzie, R. Harries & T. Bell, Selecting a hashing algorithm,
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Software--practice & experience 20, 2 (Feb 1990), 209-224. Good hash
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algorithms tend to be domain-specific, so what's good for [diffutils'] io.c
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may not be good for your application." */
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hash_string (const char *string, unsigned n_buckets)
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# define ROTATE_LEFT(Value, Shift) \
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((Value) << (Shift) | (Value) >> ((sizeof (unsigned) * CHAR_BIT) - (Shift)))
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# define HASH_ONE_CHAR(Value, Byte) \
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((Byte) + ROTATE_LEFT (Value, 7))
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for (; *string; string++)
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value = HASH_ONE_CHAR (value, *(const unsigned char *) string);
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return value % n_buckets;
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# undef HASH_ONE_CHAR
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#else /* not USE_DIFF_HASH */
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/* This one comes from `recode', and performs a bit better than the above as
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per a few experiments. It is inspired from a hashing routine found in the
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very old Cyber `snoop', itself written in typical Greg Mansfield style.
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(By the way, what happened to this excellent man? Is he still alive?) */
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hash_string (const char *string, unsigned n_buckets)
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value = ((value * 31 + (int) *(const unsigned char *) string++)
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#endif /* not USE_DIFF_HASH */
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/* Return true if CANDIDATE is a prime number. CANDIDATE should be an odd
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number at least equal to 11. */
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is_prime (unsigned long candidate)
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unsigned long divisor = 3;
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unsigned long square = divisor * divisor;
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while (square < candidate && (candidate % divisor))
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square += 4 * divisor;
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return (candidate % divisor ? true : false);
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/* Round a given CANDIDATE number up to the nearest prime, and return that
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prime. Primes lower than 10 are merely skipped. */
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next_prime (unsigned long candidate)
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/* Skip small primes. */
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/* Make it definitely odd. */
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while (!is_prime (candidate))
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hash_reset_tuning (Hash_tuning *tuning)
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*tuning = default_tuning;
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/* For the given hash TABLE, check the user supplied tuning structure for
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reasonable values, and return true if there is no gross error with it.
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Otherwise, definitively reset the TUNING field to some acceptable default
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in the hash table (that is, the user loses the right of further modifying
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tuning arguments), and return false. */
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check_tuning (Hash_table *table)
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const Hash_tuning *tuning = table->tuning;
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if (tuning->growth_threshold > 0.0
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&& tuning->growth_threshold < 1.0
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&& tuning->growth_factor > 1.0
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&& tuning->shrink_threshold >= 0.0
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&& tuning->shrink_threshold < 1.0
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&& tuning->shrink_factor > tuning->shrink_threshold
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&& tuning->shrink_factor <= 1.0
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&& tuning->shrink_threshold < tuning->growth_threshold)
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table->tuning = &default_tuning;
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/* Allocate and return a new hash table, or NULL upon failure. The initial
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number of buckets is automatically selected so as to _guarantee_ that you
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may insert at least CANDIDATE different user entries before any growth of
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the hash table size occurs. So, if have a reasonably tight a-priori upper
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bound on the number of entries you intend to insert in the hash table, you
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may save some table memory and insertion time, by specifying it here. If
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the IS_N_BUCKETS field of the TUNING structure is true, the CANDIDATE
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argument has its meaning changed to the wanted number of buckets.
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TUNING points to a structure of user-supplied values, in case some fine
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tuning is wanted over the default behavior of the hasher. If TUNING is
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NULL, the default tuning parameters are used instead.
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The user-supplied HASHER function should be provided. It accepts two
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arguments ENTRY and TABLE_SIZE. It computes, by hashing ENTRY contents, a
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slot number for that entry which should be in the range 0..TABLE_SIZE-1.
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This slot number is then returned.
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The user-supplied COMPARATOR function should be provided. It accepts two
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arguments pointing to user data, it then returns true for a pair of entries
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that compare equal, or false otherwise. This function is internally called
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on entries which are already known to hash to the same bucket index.
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The user-supplied DATA_FREER function, when not NULL, may be later called
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with the user data as an argument, just before the entry containing the
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data gets freed. This happens from within `hash_free' or `hash_clear'.
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You should specify this function only if you want these functions to free
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all of your `data' data. This is typically the case when your data is
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simply an auxiliary struct that you have malloc'd to aggregate several
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hash_initialize (unsigned candidate, const Hash_tuning *tuning,
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Hash_hasher hasher, Hash_comparator comparator,
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Hash_data_freer data_freer)
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struct hash_entry *bucket;
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if (hasher == NULL || comparator == NULL)
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table = (Hash_table *) malloc (sizeof (Hash_table));
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tuning = &default_tuning;
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table->tuning = tuning;
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if (!check_tuning (table))
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/* Fail if the tuning options are invalid. This is the only occasion
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when the user gets some feedback about it. Once the table is created,
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if the user provides invalid tuning options, we silently revert to
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using the defaults, and ignore further request to change the tuning
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= next_prime (tuning->is_n_buckets ? candidate
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: (unsigned) (candidate / tuning->growth_threshold));
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table->bucket = (struct hash_entry *)
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malloc (table->n_buckets * sizeof (struct hash_entry));
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if (table->bucket == NULL)
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table->bucket_limit = table->bucket + table->n_buckets;
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for (bucket = table->bucket; bucket < table->bucket_limit; bucket++)
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table->n_buckets_used = 0;
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table->n_entries = 0;
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table->hasher = hasher;
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table->comparator = comparator;
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table->data_freer = data_freer;
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table->free_entry_list = NULL;
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obstack_init (&table->entry_stack);
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/* Make all buckets empty, placing any chained entries on the free list.
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Apply the user-specified function data_freer (if any) to the datas of any
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hash_clear (Hash_table *table)
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struct hash_entry *bucket;
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for (bucket = table->bucket; bucket < table->bucket_limit; bucket++)
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struct hash_entry *cursor;
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struct hash_entry *next;
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/* Free the bucket overflow. */
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for (cursor = bucket->next; cursor; cursor = next)
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if (table->data_freer)
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(*table->data_freer) (cursor->data);
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/* Relinking is done one entry at a time, as it is to be expected
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that overflows are either rare or short. */
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cursor->next = table->free_entry_list;
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table->free_entry_list = cursor;
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/* Free the bucket head. */
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if (table->data_freer)
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(*table->data_freer) (bucket->data);
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table->n_buckets_used = 0;
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table->n_entries = 0;
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/* Reclaim all storage associated with a hash table. If a data_freer
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function has been supplied by the user when the hash table was created,
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this function applies it to the data of each entry before freeing that
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hash_free (Hash_table *table)
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struct hash_entry *bucket;
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struct hash_entry *cursor;
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struct hash_entry *next;
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/* Call the user data_freer function. */
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if (table->data_freer && table->n_entries)
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for (bucket = table->bucket; bucket < table->bucket_limit; bucket++)
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for (cursor = bucket; cursor; cursor = cursor->next)
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(*table->data_freer) (cursor->data);
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obstack_free (&table->entry_stack, NULL);
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/* Free all bucket overflowed entries. */
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for (bucket = table->bucket; bucket < table->bucket_limit; bucket++)
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for (cursor = bucket->next; cursor; cursor = next)
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/* Also reclaim the internal list of previously freed entries. */
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for (cursor = table->free_entry_list; cursor; cursor = next)
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/* Free the remainder of the hash table structure. */
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free (table->bucket);
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/* Insertion and deletion. */
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/* Get a new hash entry for a bucket overflow, possibly by reclying a
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previously freed one. If this is not possible, allocate a new one. */
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static struct hash_entry *
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allocate_entry (Hash_table *table)
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struct hash_entry *new;
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if (table->free_entry_list)
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new = table->free_entry_list;
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table->free_entry_list = new->next;
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new = (struct hash_entry *)
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obstack_alloc (&table->entry_stack, sizeof (struct hash_entry));
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new = (struct hash_entry *) malloc (sizeof (struct hash_entry));
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/* Free a hash entry which was part of some bucket overflow,
731
saving it for later recycling. */
734
free_entry (Hash_table *table, struct hash_entry *entry)
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entry->next = table->free_entry_list;
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table->free_entry_list = entry;
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/* This private function is used to help with insertion and deletion. When
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ENTRY matches an entry in the table, return a pointer to the corresponding
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user data and set *BUCKET_HEAD to the head of the selected bucket.
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Otherwise, return NULL. When DELETE is true and ENTRY matches an entry in
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the table, unlink the matching entry. */
748
hash_find_entry (Hash_table *table, const void *entry,
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struct hash_entry **bucket_head, bool delete)
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struct hash_entry *bucket
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= table->bucket + table->hasher (entry, table->n_buckets);
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struct hash_entry *cursor;
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if (! (bucket < table->bucket_limit))
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*bucket_head = bucket;
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/* Test for empty bucket. */
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if (bucket->data == NULL)
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/* See if the entry is the first in the bucket. */
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if ((*table->comparator) (entry, bucket->data))
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void *data = bucket->data;
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struct hash_entry *next = bucket->next;
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/* Bump the first overflow entry into the bucket head, then save
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the previous first overflow entry for later recycling. */
778
free_entry (table, next);
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/* Scan the bucket overflow. */
790
for (cursor = bucket; cursor->next; cursor = cursor->next)
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if ((*table->comparator) (entry, cursor->next->data))
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void *data = cursor->next->data;
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struct hash_entry *next = cursor->next;
800
/* Unlink the entry to delete, then save the freed entry for later
802
cursor->next = next->next;
803
free_entry (table, next);
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/* No entry found. */
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/* For an already existing hash table, change the number of buckets through
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specifying CANDIDATE. The contents of the hash table are preserved. The
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new number of buckets is automatically selected so as to _guarantee_ that
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the table may receive at least CANDIDATE different user entries, including
818
those already in the table, before any other growth of the hash table size
819
occurs. If TUNING->IS_N_BUCKETS is true, then CANDIDATE specifies the
820
exact number of buckets desired. */
823
hash_rehash (Hash_table *table, unsigned candidate)
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Hash_table *new_table;
826
struct hash_entry *bucket;
827
struct hash_entry *cursor;
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struct hash_entry *next;
830
new_table = hash_initialize (candidate, table->tuning, table->hasher,
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table->comparator, table->data_freer);
832
if (new_table == NULL)
835
/* Merely reuse the extra old space into the new table. */
837
obstack_free (&new_table->entry_stack, NULL);
838
new_table->entry_stack = table->entry_stack;
840
new_table->free_entry_list = table->free_entry_list;
842
for (bucket = table->bucket; bucket < table->bucket_limit; bucket++)
844
for (cursor = bucket; cursor; cursor = next)
846
void *data = cursor->data;
847
struct hash_entry *new_bucket
849
+ new_table->hasher (data, new_table->n_buckets));
851
if (! (new_bucket < new_table->bucket_limit))
856
if (new_bucket->data)
858
if (cursor == bucket)
860
/* Allocate or recycle an entry, when moving from a bucket
861
header into a bucket overflow. */
862
struct hash_entry *new_entry = allocate_entry (new_table);
864
if (new_entry == NULL)
867
new_entry->data = data;
868
new_entry->next = new_bucket->next;
869
new_bucket->next = new_entry;
873
/* Merely relink an existing entry, when moving from a
874
bucket overflow into a bucket overflow. */
875
cursor->next = new_bucket->next;
876
new_bucket->next = cursor;
881
/* Free an existing entry, when moving from a bucket
882
overflow into a bucket header. Also take care of the
883
simple case of moving from a bucket header into a bucket
885
new_bucket->data = data;
886
new_table->n_buckets_used++;
887
if (cursor != bucket)
888
free_entry (new_table, cursor);
892
free (table->bucket);
893
table->bucket = new_table->bucket;
894
table->bucket_limit = new_table->bucket_limit;
895
table->n_buckets = new_table->n_buckets;
896
table->n_buckets_used = new_table->n_buckets_used;
897
table->free_entry_list = new_table->free_entry_list;
898
/* table->n_entries already holds its value. */
900
table->entry_stack = new_table->entry_stack;
907
/* If ENTRY matches an entry already in the hash table, return the pointer
908
to the entry from the table. Otherwise, insert ENTRY and return ENTRY.
909
Return NULL if the storage required for insertion cannot be allocated. */
912
hash_insert (Hash_table *table, const void *entry)
915
struct hash_entry *bucket;
917
/* The caller cannot insert a NULL entry. */
921
/* If there's a matching entry already in the table, return that. */
922
if ((data = hash_find_entry (table, entry, &bucket, false)) != NULL)
925
/* ENTRY is not matched, it should be inserted. */
929
struct hash_entry *new_entry = allocate_entry (table);
931
if (new_entry == NULL)
934
/* Add ENTRY in the overflow of the bucket. */
936
new_entry->data = (void *) entry;
937
new_entry->next = bucket->next;
938
bucket->next = new_entry;
940
return (void *) entry;
943
/* Add ENTRY right in the bucket head. */
945
bucket->data = (void *) entry;
947
table->n_buckets_used++;
949
/* If the growth threshold of the buckets in use has been reached, increase
950
the table size and rehash. There's no point in checking the number of
951
entries: if the hashing function is ill-conditioned, rehashing is not
952
likely to improve it. */
954
if (table->n_buckets_used
955
> table->tuning->growth_threshold * table->n_buckets)
957
/* Check more fully, before starting real work. If tuning arguments
958
became invalid, the second check will rely on proper defaults. */
959
check_tuning (table);
960
if (table->n_buckets_used
961
> table->tuning->growth_threshold * table->n_buckets)
963
const Hash_tuning *tuning = table->tuning;
965
= (unsigned) (tuning->is_n_buckets
966
? (table->n_buckets * tuning->growth_factor)
967
: (table->n_buckets * tuning->growth_factor
968
* tuning->growth_threshold));
970
/* If the rehash fails, arrange to return NULL. */
971
if (!hash_rehash (table, candidate))
976
return (void *) entry;
979
/* If ENTRY is already in the table, remove it and return the just-deleted
980
data (the user may want to deallocate its storage). If ENTRY is not in the
981
table, don't modify the table and return NULL. */
984
hash_delete (Hash_table *table, const void *entry)
987
struct hash_entry *bucket;
989
data = hash_find_entry (table, entry, &bucket, true);
996
table->n_buckets_used--;
998
/* If the shrink threshold of the buckets in use has been reached,
999
rehash into a smaller table. */
1001
if (table->n_buckets_used
1002
< table->tuning->shrink_threshold * table->n_buckets)
1004
/* Check more fully, before starting real work. If tuning arguments
1005
became invalid, the second check will rely on proper defaults. */
1006
check_tuning (table);
1007
if (table->n_buckets_used
1008
< table->tuning->shrink_threshold * table->n_buckets)
1010
const Hash_tuning *tuning = table->tuning;
1012
= (unsigned) (tuning->is_n_buckets
1013
? table->n_buckets * tuning->shrink_factor
1014
: (table->n_buckets * tuning->shrink_factor
1015
* tuning->growth_threshold));
1017
hash_rehash (table, candidate);
1030
hash_print (const Hash_table *table)
1032
struct hash_entry *bucket;
1034
for (bucket = table->bucket; bucket < table->bucket_limit; bucket++)
1036
struct hash_entry *cursor;
1039
printf ("%d:\n", bucket - table->bucket);
1041
for (cursor = bucket; cursor; cursor = cursor->next)
1043
char *s = (char *) cursor->data;
1046
printf (" %s\n", s);
1051
#endif /* TESTING */