Sedgewick (1990) and Knuth (1973b) describe hashing in detail and give guidelines for writing good hash functions.
===================================atom.h========================================
#ifndef ATOM_INCLUDED #define ATOM_INCLUDED extern int Atom_length(const char *str); extern const char *Atom_new (const char *str, int len); extern const char *Atom_string(const char *str); extern const char *Atom_int (long n); #endif
#include "atom.h" #include <string.h> #include "assert.h" #include <limits.h> #include "mem.h" #define NELEMS(x) ((sizeof (x))/(sizeof ((x)[0]))) static struct atom{ struct atom *link; int len; char *str; } *buckets[2048]; static unsigned long scatter[] = { 2078917053, 143302914, 1027100827, 1953210302, 755253631, 2002600785, 1405390230, 45248011, 1099951567, 433832350, 2018585307, 438263339, 813528929, 1703199216, 618906479, 573714703, 766270699, 275680090, 1510320440, 1583583926, 1723401032, 1965443329, 1098183682, 1636505764, 980071615, 1011597961, 643279273, 1315461275, 157584038, 1069844923, 471560540, 89017443, 1213147837, 1498661368, 2042227746, 1968401469, 1353778505, 1300134328, 2013649480, 306246424, 1733966678, 1884751139, 744509763, 400011959, 1440466707, 1363416242, 973726663, 59253759, 1639096332, 336563455, 1642837685, 1215013716, 154523136, 593537720, 704035832, 1134594751, 1605135681, 1347315106, 302572379, 1762719719, 269676381, 774132919, 1851737163, 1482824219, 125310639, 1746481261, 1303742040, 1479089144, 899131941, 1169907872, 1785335569, 485614972, 907175364, 382361684, 885626931, 200158423, 1745777927, 1859353594, 259412182, 1237390611, 48433401, 1902249868, 304920680, 202956538, 348303940, 1008956512, 1337551289, 1953439621, 208787970, 1640123668, 1568675693, 478464352, 266772940, 1272929208, 1961288571, 392083579, 871926821, 1117546963, 1871172724, 1771058762, 139971187, 1509024645, 109190086, 1047146551, 1891386329, 994817018, 1247304975, 1489680608, 706686964, 1506717157, 579587572, 755120366, 1261483377, 884508252, 958076904, 1609787317, 1893464764, 148144545, 1415743291, 2102252735, 1788268214, 836935336, 433233439, 2055041154, 2109864544, 247038362, 299641085, 834307717, 1364585325, 23330161, 457882831, 1504556512, 1532354806, 567072918, 404219416, 1276257488, 1561889936, 1651524391, 618454448, 121093252, 1010757900, 1198042020, 876213618, 124757630, 2082550272, 1834290522, 1734544947, 1828531389, 1982435068, 1002804590, 1783300476, 1623219634, 1839739926, 69050267, 1530777140, 1802120822, 316088629, 1830418225, 488944891, 1680673954, 1853748387, 946827723, 1037746818, 1238619545, 1513900641, 1441966234, 367393385, 928306929, 946006977, 985847834, 1049400181, 1956764878, 36406206, 1925613800, 2081522508, 2118956479, 1612420674, 1668583807, 1800004220, 1447372094, 523904750, 1435821048, 923108080, 216161028, 1504871315, 306401572, 2018281851, 1820959944, 2136819798, 359743094, 1354150250, 1843084537, 1306570817, 244413420, 934220434, 672987810, 1686379655, 1301613820, 1601294739, 484902984, 139978006, 503211273, 294184214, 176384212, 281341425, 228223074, 147857043, 1893762099, 1896806882, 1947861263, 1193650546, 273227984, 1236198663, 2116758626, 489389012, 593586330, 275676551, 360187215, 267062626, 265012701, 719930310, 1621212876, 2108097238, 2026501127, 1865626297, 894834024, 552005290, 1404522304, 48964196, 5816381, 1889425288, 188942202, 509027654, 36125855, 365326415, 790369079, 264348929, 513183458, 536647531, 13672163, 313561074, 1730298077, 286900147, 1549759737, 1699573055, 776289160, 2143346068, 1975249606, 1136476375, 262925046, 92778659, 1856406685, 1884137923, 53392249, 1735424165, 1602280572 }; const char *Atom_string(const char *str){ assert(str); return Atom_new(str, strlen(str)); } const char *Atom_int(long n){ char str[43]; char *s = str + sizeof str; unsigned long m; if(n == LONG_MIN) m = LONG_MAX + 1UL; else if (n < 0) m = -n; else m = n; do *--s = m%10 + '0'; while((m /= 10) > 0); if(n < 0) *--s = '-'; return Atom_new(s, (str + sizeof str) - s); } const char* Atom_new(const char *str, int len){ unsigned long h; int i; struct atom *p; assert(str); assert(len >= 0); //hash str[0..len-1] to h for(h = 0, i = 0; i < len; ++i) h = (h<<1) + scatter[(unsigned char)str[i]]; h = %= NELEMS(buckets); for( p = buckets[h]; p; p = p->link){ if(len == p->len){ for(i = 0; i < len && p->str[i] == str[i];) ++i; if(i == len) return p->str; } } //allocate a new entry p = ALLOC(sizeof(*p) + len + 1); p->len = len; p->str = (char* )(p + 1); if(len > 0) memcpy(p->str, str, len); p->str[len] = '\0'; p->link = buckets[h]; buckets[h] = p; return p->str; } int Atom_length(const char *str){ struct atom *p; int i; assert(str); for(i = 0; i < NELEMS(buckets); ++i){ for(p = buckets[i]; p; p =p->link){ if(p->str == str) return p->len; } } assert(0); return 0; }