/* Hash tables. Copyright (C) 2000, 2001 Free Software Foundation, Inc. This file is part of GNU Wget. GNU Wget is free software; you can redistribute it and/or modify it under the terms of the GNU General Public License as published by the Free Software Foundation; either version 2 of the License, or (at your option) any later version. GNU Wget is distributed in the hope that it will be useful, but WITHOUT ANY WARRANTY; without even the implied warranty of MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the GNU General Public License for more details. You should have received a copy of the GNU General Public License along with Wget; if not, write to the Free Software Foundation, Inc., 675 Mass Ave, Cambridge, MA 02139, USA. In addition, as a special exception, the Free Software Foundation gives permission to link the code of its release of Wget with the OpenSSL project's "OpenSSL" library (or with modified versions of it that use the same license as the "OpenSSL" library), and distribute the linked executables. You must obey the GNU General Public License in all respects for all of the code used other than "OpenSSL". If you modify this file, you may extend this exception to your version of the file, but you are not obligated to do so. If you do not wish to do so, delete this exception statement from your version. */ #ifdef HAVE_CONFIG_H # include #endif #ifdef HAVE_STRING_H # include #else # include #endif /* HAVE_STRING_H */ #include #include #include "wget.h" #include "utils.h" #include "hash.h" #ifdef STANDALONE # undef xmalloc # undef xrealloc # undef xfree # define xmalloc malloc # define xrealloc realloc # define xfree free # undef TOLOWER # define TOLOWER(x) ('A' <= (x) && (x) <= 'Z' ? (x) - 32 : (x)) #endif /* INTERFACE: Hash tables are a technique used to implement mapping between objects with near-constant-time access and storage. The table associates keys to values, and a value can be very quickly retrieved by providing the key. Fast lookup tables are typically implemented as hash tables. The entry points are hash_table_new -- creates the table. hash_table_destroy -- destroys the table. hash_table_put -- establishes or updates key->value mapping. hash_table_get -- retrieves value of key. hash_table_get_pair -- get key/value pair for key. hash_table_contains -- test whether the table contains key. hash_table_remove -- remove the key->value mapping for key. hash_table_map -- iterate through table mappings. hash_table_clear -- clear hash table contents. hash_table_count -- return the number of entries in the table. The hash table grows internally as new entries are added and is not limited in size, except by available memory. The table doubles with each resize, which ensures that the amortized time per operation remains constant. By default, tables created by hash_table_new consider the keys to be equal if their pointer values are the same. You can use make_string_hash_table to create tables whose keys are considered equal if their string contents are the same. In the general case, the criterion of equality used to compare keys is specified at table creation time with two callback functions, "hash" and "test". The hash function transforms the key into an arbitrary number that must be the same for two equal keys. The test function accepts two keys and returns non-zero if they are to be considered equal. Note that neither keys nor values are copied when inserted into the hash table, so they must exist for the lifetime of the table. This means that e.g. the use of static strings is OK, but objects with a shorter life-time need to be copied (with strdup() or the like in the case of strings) before being inserted. */ /* IMPLEMENTATION: The hash table is implemented as an open-addressed table with linear probing collision resolution. In regular language, it means that all the hash entries (pairs of pointers key and value) are stored in a contiguous array. The position of each mapping is determined by the hash value of its key and the size of the table: location := hash(key) % size. If two different keys end up on the same position (collide), the one that came second is placed at the next empty position following the occupied place. This collision resolution technique is called "linear probing". There are more advanced collision resolution methods (quadratic probing, double hashing), but we don't use them because they incur more non-sequential access to the array, which results in worse CPU cache behavior. Linear probing works well as long as the count/size ratio (fullness) is kept below 75%. We make sure to grow and rehash the table whenever this threshold is exceeded. Collisions make deletion tricky because clearing a position followed by a colliding entry would make the position seem empty and the colliding entry not found. One solution is to leave a "tombstone" instead of clearing the entry, and another is to carefully rehash the entries immediately following the deleted one. We use the latter method because it results in less bookkeeping and faster retrieval at the (slight) expense of deletion. */ /* Maximum allowed fullness: when hash table's fullness exceeds this value, the table is resized. */ #define HASH_MAX_FULLNESS 0.75 /* The hash table size is multiplied by this factor (and then rounded to the next prime) with each resize. This guarantees infrequent resizes. */ #define HASH_RESIZE_FACTOR 2 struct mapping { void *key; void *value; }; typedef unsigned long (*hashfun_t) PARAMS ((const void *)); typedef int (*testfun_t) PARAMS ((const void *, const void *)); struct hash_table { hashfun_t hash_function; testfun_t test_function; struct mapping *mappings; /* pointer to the table entries. */ int size; /* size of the array. */ int count; /* number of non-empty entries. */ int resize_threshold; /* after size exceeds this number of entries, resize the table. */ int prime_offset; /* the offset of the current prime in the prime table. */ }; /* We use all-bit-set marker to mean that a mapping is empty. It is (hopefully) illegal as a pointer, and it allows the users to use NULL (as well as any non-negative integer) as key. */ #define NON_EMPTY(mp) (mp->key != (void *)~(unsigned long)0) #define MARK_AS_EMPTY(mp) (mp->key = (void *)~(unsigned long)0) /* "Next" mapping is the mapping after MP, but wrapping back to MAPPINGS when MP would reach MAPPINGS+SIZE. */ #define NEXT_MAPPING(mp, mappings, size) (mp != mappings + (size - 1) \ ? mp + 1 : mappings) /* Loop over non-empty mappings starting at MP. */ #define LOOP_NON_EMPTY(mp, mappings, size) \ for (; NON_EMPTY (mp); mp = NEXT_MAPPING (mp, mappings, size)) /* Return the position of KEY in hash table SIZE large, hash function being HASHFUN. */ #define HASH_POSITION(key, hashfun, size) ((hashfun) (key) % size) /* Find a prime near, but greather than or equal to SIZE. Of course, the primes are not calculated, but looked up from a table. The table does not contain all primes in range, just a selection useful for this purpose. PRIME_OFFSET is a minor optimization: it specifies start position for the search for the large enough prime. The final offset is stored in the same variable. That way the list of primes does not have to be scanned from the beginning each time around. */ static int prime_size (int size, int *prime_offset) { static const unsigned long primes [] = { 13, 19, 29, 41, 59, 79, 107, 149, 197, 263, 347, 457, 599, 787, 1031, 1361, 1777, 2333, 3037, 3967, 5167, 6719, 8737, 11369, 14783, 19219, 24989, 32491, 42257, 54941, 71429, 92861, 120721, 156941, 204047, 265271, 344857, 448321, 582821, 757693, 985003, 1280519, 1664681, 2164111, 2813353, 3657361, 4754591, 6180989, 8035301, 10445899, 13579681, 17653589, 22949669, 29834603, 38784989, 50420551, 65546729, 85210757, 110774011, 144006217, 187208107, 243370577, 316381771, 411296309, 534685237, 695090819, 903618083, 1174703521, 1527114613, 1985248999, (unsigned long)0x99d43ea5, (unsigned long)0xc7fa5177 }; int i; for (i = *prime_offset; i < countof (primes); i++) if (primes[i] >= size) { /* Set the offset to the next prime. That is safe because, next time we are called, it will be with a larger SIZE, which means we could never return the same prime anyway. (If that is not the case, the caller can simply reset *prime_offset.) */ *prime_offset = i + 1; return primes[i]; } abort (); return 0; } static unsigned long ptrhash PARAMS ((const void *)); static int ptrcmp PARAMS ((const void *, const void *)); /* Create a hash table with hash function HASH_FUNCTION and test function TEST_FUNCTION. The table is empty (its count is 0), but pre-allocated to store at least ITEMS items. ITEMS is the number of items that the table can accept without needing to resize. It is useful when creating a table that is to be immediately filled with a known number of items. In that case, the regrows are a waste of time, and specifying ITEMS correctly will avoid them altogether. Note that hash tables grow dynamically regardless of ITEMS. The only use of ITEMS is to preallocate the table and avoid unnecessary dynamic regrows. Don't bother making ITEMS prime because it's not used as size unchanged. To start with a small table that grows as needed, simply specify zero ITEMS. If hash and test callbacks are not specified, identity mapping is assumed, i.e. pointer values are used for key comparison. If, instead of that, you want strings with equal contents to hash the same, use make_string_hash_table. */ struct hash_table * hash_table_new (int items, unsigned long (*hash_function) (const void *), int (*test_function) (const void *, const void *)) { int size; struct hash_table *ht = xnew (struct hash_table); ht->hash_function = hash_function ? hash_function : ptrhash; ht->test_function = test_function ? test_function : ptrcmp; /* If the size of struct hash_table ever becomes a concern, this field can go. (Wget doesn't create many hashes.) */ ht->prime_offset = 0; /* Calculate the size that ensures that the table will store at least ITEMS keys without the need to resize. */ size = 1 + items / HASH_MAX_FULLNESS; size = prime_size (size, &ht->prime_offset); ht->size = size; ht->resize_threshold = size * HASH_MAX_FULLNESS; /*assert (ht->resize_threshold >= items);*/ ht->mappings = xnew_array (struct mapping, ht->size); /* Mark mappings as empty. We use 0xff rather than 0 to mark empty keys because it allows us to store NULL keys to the table. */ memset (ht->mappings, 0xff, size * sizeof (struct mapping)); ht->count = 0; return ht; } /* Free the data associated with hash table HT. */ void hash_table_destroy (struct hash_table *ht) { xfree (ht->mappings); xfree (ht); } /* The heart of most functions in this file -- find the mapping whose KEY is equal to key, using linear probing. Returns the mapping that matches KEY, or the first empty mapping if none matches. */ static inline struct mapping * find_mapping (const struct hash_table *ht, const void *key) { struct mapping *mappings = ht->mappings; int size = ht->size; struct mapping *mp = mappings + HASH_POSITION (key, ht->hash_function, size); testfun_t equals = ht->test_function; LOOP_NON_EMPTY (mp, mappings, size) if (equals (key, mp->key)) break; return mp; } /* Get the value that corresponds to the key KEY in the hash table HT. If no value is found, return NULL. Note that NULL is a legal value for value; if you are storing NULLs in your hash table, you can use hash_table_contains to be sure that a (possibly NULL) value exists in the table. Or, you can use hash_table_get_pair instead of this function. */ void * hash_table_get (const struct hash_table *ht, const void *key) { struct mapping *mp = find_mapping (ht, key); if (NON_EMPTY (mp)) return mp->value; else return NULL; } /* Like hash_table_get, but writes out the pointers to both key and value. Returns non-zero on success. */ int hash_table_get_pair (const struct hash_table *ht, const void *lookup_key, void *orig_key, void *value) { struct mapping *mp = find_mapping (ht, lookup_key); if (NON_EMPTY (mp)) { if (orig_key) *(void **)orig_key = mp->key; if (value) *(void **)value = mp->value; return 1; } else return 0; } /* Return 1 if HT contains KEY, 0 otherwise. */ int hash_table_contains (const struct hash_table *ht, const void *key) { struct mapping *mp = find_mapping (ht, key); return NON_EMPTY (mp); } /* Grow hash table HT as necessary, and rehash all the key-value mappings. */ static void grow_hash_table (struct hash_table *ht) { hashfun_t hasher = ht->hash_function; struct mapping *old_mappings = ht->mappings; struct mapping *old_end = ht->mappings + ht->size; struct mapping *mp, *mappings; int newsize; newsize = prime_size (ht->size * HASH_RESIZE_FACTOR, &ht->prime_offset); #if 0 printf ("growing from %d to %d; fullness %.2f%% to %.2f%%\n", ht->size, newsize, 100.0 * ht->count / ht->size, 100.0 * ht->count / newsize); #endif ht->size = newsize; ht->resize_threshold = newsize * HASH_MAX_FULLNESS; mappings = xnew_array (struct mapping, newsize); memset (mappings, 0xff, newsize * sizeof (struct mapping)); ht->mappings = mappings; for (mp = old_mappings; mp < old_end; mp++) if (NON_EMPTY (mp)) { struct mapping *new_mp; /* We don't need to test for uniqueness of keys because they come from the hash table and are therefore known to be unique. */ new_mp = mappings + HASH_POSITION (mp->key, hasher, newsize); LOOP_NON_EMPTY (new_mp, mappings, newsize) ; *new_mp = *mp; } xfree (old_mappings); } /* Put VALUE in the hash table HT under the key KEY. This regrows the table if necessary. */ void hash_table_put (struct hash_table *ht, const void *key, void *value) { struct mapping *mp = find_mapping (ht, key); if (NON_EMPTY (mp)) { /* update existing item */ mp->key = (void *)key; /* const? */ mp->value = value; return; } /* If adding the item would make the table exceed max. fullness, grow the table first. */ if (ht->count >= ht->resize_threshold) { grow_hash_table (ht); mp = find_mapping (ht, key); } /* add new item */ ++ht->count; mp->key = (void *)key; /* const? */ mp->value = value; } /* Remove a mapping that matches KEY from HT. Return 0 if there was no such entry; return 1 if an entry was removed. */ int hash_table_remove (struct hash_table *ht, const void *key) { struct mapping *mp = find_mapping (ht, key); if (!NON_EMPTY (mp)) return 0; else { int size = ht->size; struct mapping *mappings = ht->mappings; hashfun_t hasher = ht->hash_function; MARK_AS_EMPTY (mp); --ht->count; /* Rehash all the entries following MP. The alternative approach is to mark the entry as deleted, i.e. create a "tombstone". That speeds up removal, but leaves a lot of garbage and slows down hash_table_get and hash_table_put. */ mp = NEXT_MAPPING (mp, mappings, size); LOOP_NON_EMPTY (mp, mappings, size) { const void *key2 = mp->key; struct mapping *mp_new; /* Find the new location for the key. */ mp_new = mappings + HASH_POSITION (key2, hasher, size); LOOP_NON_EMPTY (mp_new, mappings, size) if (key2 == mp_new->key) /* The mapping MP (key2) is already where we want it (in MP_NEW's "chain" of keys.) */ goto next_rehash; *mp_new = *mp; MARK_AS_EMPTY (mp); next_rehash: ; } return 1; } } /* Clear HT of all entries. After calling this function, the count and the fullness of the hash table will be zero. The size will remain unchanged. */ void hash_table_clear (struct hash_table *ht) { memset (ht->mappings, 0xff, ht->size * sizeof (struct mapping)); ht->count = 0; } /* Map MAPFUN over all the mappings in hash table HT. MAPFUN is called with three arguments: the key, the value, and MAPARG. It is undefined what happens if you add or remove entries in the hash table while hash_table_map is running. The exception is the entry you're currently mapping over; you may remove or change that entry. */ void hash_table_map (struct hash_table *ht, int (*mapfun) (void *, void *, void *), void *maparg) { struct mapping *mp = ht->mappings; struct mapping *end = ht->mappings + ht->size; for (; mp < end; mp++) if (NON_EMPTY (mp)) { void *key; repeat: key = mp->key; if (mapfun (key, mp->value, maparg)) return; /* hash_table_remove might have moved the adjacent mappings. */ if (mp->key != key && NON_EMPTY (mp)) goto repeat; } } /* Return the number of elements in the hash table. This is not the same as the physical size of the hash table, which is always greater than the number of elements. */ int hash_table_count (const struct hash_table *ht) { return ht->count; } /* Functions from this point onward are meant for convenience and don't strictly belong to this file. However, this is as good a place for them as any. */ /* Rules for creating custom hash and test functions: - The test function returns non-zero for keys that are considered "equal", zero otherwise. - The hash function returns a number that represents the "distinctness" of the object. In more precise terms, it means that for any two objects that test "equal" under the test function, the hash function MUST produce the same result. This does not mean that all different objects must produce different values (that would be "perfect" hashing), only that non-distinct objects must produce the same values! For instance, a hash function that returns 0 for any given object is a perfectly valid (albeit extremely bad) hash function. A hash function that hashes a string by adding up all its characters is another example of a valid (but quite bad) hash function. It is not hard to make hash and test functions agree about equality. For example, if the test function compares strings case-insensitively, the hash function can lower-case the characters when calculating the hash value. That ensures that two strings differing only in case will hash the same. - If you care about performance, choose a hash function with as good "spreading" as possible. A good hash function will use all the bits of the input when calculating the hash, and will react to even small changes in input with a completely different output. Finally, don't make the hash function itself overly slow, because you'll be incurring a non-negligible overhead to all hash table operations. */ /* * Support for hash tables whose keys are strings. * */ /* 31 bit hash function. Taken from Gnome's glib, modified to use standard C types. We used to use the popular hash function from the Dragon Book, but this one seems to perform much better. */ unsigned long string_hash (const void *key) { const char *p = key; unsigned int h = *p; if (h) for (p += 1; *p != '\0'; p++) h = (h << 5) - h + *p; return h; } /* Frontend for strcmp usable for hash tables. */ int string_cmp (const void *s1, const void *s2) { return !strcmp ((const char *)s1, (const char *)s2); } /* Return a hash table of preallocated to store at least ITEMS items suitable to use strings as keys. */ struct hash_table * make_string_hash_table (int items) { return hash_table_new (items, string_hash, string_cmp); } /* * Support for hash tables whose keys are strings, but which are * compared case-insensitively. * */ /* Like string_hash, but produce the same hash regardless of the case. */ static unsigned long string_hash_nocase (const void *key) { const char *p = key; unsigned int h = TOLOWER (*p); if (h) for (p += 1; *p != '\0'; p++) h = (h << 5) - h + TOLOWER (*p); return h; } /* Like string_cmp, but doing case-insensitive compareison. */ static int string_cmp_nocase (const void *s1, const void *s2) { return !strcasecmp ((const char *)s1, (const char *)s2); } /* Like make_string_hash_table, but uses string_hash_nocase and string_cmp_nocase. */ struct hash_table * make_nocase_string_hash_table (int items) { return hash_table_new (items, string_hash_nocase, string_cmp_nocase); } /* Hashing of numeric values, such as pointers and integers. Used for hash tables that are keyed by pointer identity. (Common Lisp calls them EQ hash tables, and Java calls them IdentityHashMaps.) This implementation is the Robert Jenkins' 32 bit Mix Function, with a simple adaptation for 64-bit values. It offers excellent spreading of values and doesn't need to know the hash table size to work (unlike the very popular Knuth's multiplication hash). */ static unsigned long ptrhash (const void *ptr) { unsigned long key = (unsigned long)ptr; key += (key << 12); key ^= (key >> 22); key += (key << 4); key ^= (key >> 9); key += (key << 10); key ^= (key >> 2); key += (key << 7); key ^= (key >> 12); #if SIZEOF_LONG > 4 key += (key << 44); key ^= (key >> 54); key += (key << 36); key ^= (key >> 41); key += (key << 42); key ^= (key >> 34); key += (key << 39); key ^= (key >> 44); #endif return key; } static int ptrcmp (const void *ptr1, const void *ptr2) { return ptr1 == ptr2; } #ifdef STANDALONE #include #include int print_hash_table_mapper (void *key, void *value, void *count) { ++*(int *)count; printf ("%s: %s\n", (const char *)key, (char *)value); return 0; } void print_hash (struct hash_table *sht) { int debug_count = 0; hash_table_map (sht, print_hash_table_mapper, &debug_count); assert (debug_count == sht->count); } int main (void) { struct hash_table *ht = make_string_hash_table (0); char line[80]; while ((fgets (line, sizeof (line), stdin))) { int len = strlen (line); if (len <= 1) continue; line[--len] = '\0'; if (!hash_table_contains (ht, line)) hash_table_put (ht, strdup (line), "here I am!"); #if 1 if (len % 5 == 0) { char *line_copy; if (hash_table_get_pair (ht, line, &line_copy, NULL)) { hash_table_remove (ht, line); xfree (line_copy); } } #endif } #if 0 print_hash (ht); #endif #if 1 printf ("%d %d\n", ht->count, ht->size); #endif return 0; } #endif