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1.1 ! root 1: /* ! 2: * Copyright (c) 1989 The Regents of the University of California. ! 3: * All rights reserved. ! 4: * ! 5: * This code is derived from software contributed to Berkeley by ! 6: * Michael Rendell of Memorial University of Newfoundland. ! 7: * ! 8: * Redistribution and use in source and binary forms are permitted provided ! 9: * that: (1) source distributions retain this entire copyright notice and ! 10: * comment, and (2) distributions including binaries display the following ! 11: * acknowledgement: ``This product includes software developed by the ! 12: * University of California, Berkeley and its contributors'' in the ! 13: * documentation or other materials provided with the distribution and in ! 14: * all advertising materials mentioning features or use of this software. ! 15: * Neither the name of the University nor the names of its contributors may ! 16: * be used to endorse or promote products derived from this software without ! 17: * specific prior written permission. ! 18: * THIS SOFTWARE IS PROVIDED ``AS IS'' AND WITHOUT ANY EXPRESS OR IMPLIED ! 19: * WARRANTIES, INCLUDING, WITHOUT LIMITATION, THE IMPLIED WARRANTIES OF ! 20: * MERCHANTABILITY AND FITNESS FOR A PARTICULAR PURPOSE. ! 21: */ ! 22: ! 23: #ifndef lint ! 24: char copyright[] = ! 25: "@(#) Copyright (c) 1989 The Regents of the University of California.\n\ ! 26: All rights reserved.\n"; ! 27: #endif /* not lint */ ! 28: ! 29: #ifndef lint ! 30: static char sccsid[] = "@(#)tsort.c 5.3 (Berkeley) 6/1/90"; ! 31: #endif /* not lint */ ! 32: ! 33: #include <sys/types.h> ! 34: #include <errno.h> ! 35: #include <stdio.h> ! 36: #include <ctype.h> ! 37: #include <string.h> ! 38: ! 39: /* ! 40: * Topological sort. Input is a list of pairs of strings seperated by ! 41: * white space (spaces, tabs, and/or newlines); strings are written to ! 42: * standard output in sorted order, one per line. ! 43: * ! 44: * usage: ! 45: * tsort [inputfile] ! 46: * If no input file is specified, standard input is read. ! 47: * ! 48: * Should be compatable with AT&T tsort HOWEVER the output is not identical ! 49: * (i.e. for most graphs there is more than one sorted order, and this tsort ! 50: * usually generates a different one then the AT&T tsort). Also, cycle ! 51: * reporting seems to be more accurate in this version (the AT&T tsort ! 52: * sometimes says a node is in a cycle when it isn't). ! 53: * ! 54: * Michael Rendell, [email protected] - Feb 26, '90 ! 55: */ ! 56: #define HASHSIZE 53 /* doesn't need to be big */ ! 57: #define NF_MARK 0x1 /* marker for cycle detection */ ! 58: #define NF_ACYCLIC 0x2 /* this node is cycle free */ ! 59: ! 60: typedef struct node_str NODE; ! 61: ! 62: struct node_str { ! 63: char *n_name; /* name of this node */ ! 64: NODE **n_prevp; /* pointer to previous node's n_next */ ! 65: NODE *n_next; /* next node in graph */ ! 66: NODE *n_hash; /* next node in hash table */ ! 67: int n_narcs; /* number of arcs in n_arcs[] */ ! 68: int n_arcsize; /* size of n_arcs[] array */ ! 69: NODE **n_arcs; /* array of arcs to other nodes */ ! 70: int n_refcnt; /* # of arcs pointing to this node */ ! 71: int n_flags; /* NF_* */ ! 72: }; ! 73: ! 74: typedef struct _buf { ! 75: char *b_buf; ! 76: int b_bsize; ! 77: } BUF; ! 78: ! 79: NODE *add_node(), *find_node(); ! 80: void add_arc(), no_memory(), remove_node(), tsort(); ! 81: char *grow_buf(), *malloc(); ! 82: ! 83: extern int errno; ! 84: NODE *graph; ! 85: NODE *hashtable[HASHSIZE]; ! 86: NODE **cycle_buf; ! 87: NODE **longest_cycle; ! 88: ! 89: main(argc, argv) ! 90: int argc; ! 91: char **argv; ! 92: { ! 93: register BUF *b; ! 94: register int c, n; ! 95: FILE *fp; ! 96: int bsize, nused; ! 97: BUF bufs[2]; ! 98: ! 99: if (argc < 2) ! 100: fp = stdin; ! 101: else if (argc == 2) { ! 102: (void)fprintf(stderr, "usage: tsort [ inputfile ]\n"); ! 103: exit(1); ! 104: } else if (!(fp = fopen(argv[1], "r"))) { ! 105: (void)fprintf(stderr, "tsort: %s.\n", strerror(errno)); ! 106: exit(1); ! 107: } ! 108: ! 109: for (b = bufs, n = 2; --n >= 0; b++) ! 110: b->b_buf = grow_buf((char *)NULL, b->b_bsize = 1024); ! 111: ! 112: /* parse input and build the graph */ ! 113: for (n = 0, c = getc(fp);;) { ! 114: while (c != EOF && isspace(c)) ! 115: c = getc(fp); ! 116: if (c == EOF) ! 117: break; ! 118: ! 119: nused = 0; ! 120: b = &bufs[n]; ! 121: bsize = b->b_bsize; ! 122: do { ! 123: b->b_buf[nused++] = c; ! 124: if (nused == bsize) { ! 125: bsize *= 2; ! 126: b->b_buf = grow_buf(b->b_buf, bsize); ! 127: } ! 128: c = getc(fp); ! 129: } while (c != EOF && !isspace(c)); ! 130: ! 131: b->b_buf[nused] = '\0'; ! 132: b->b_bsize = bsize; ! 133: if (n) ! 134: add_arc(bufs[0].b_buf, bufs[1].b_buf); ! 135: n = !n; ! 136: } ! 137: (void)fclose(fp); ! 138: if (n) { ! 139: (void)fprintf(stderr, "tsort: odd data count.\n"); ! 140: exit(1); ! 141: } ! 142: ! 143: /* do the sort */ ! 144: tsort(); ! 145: exit(0); ! 146: } ! 147: ! 148: /* double the size of oldbuf and return a pointer to the new buffer. */ ! 149: char * ! 150: grow_buf(bp, size) ! 151: char *bp; ! 152: int size; ! 153: { ! 154: char *realloc(); ! 155: ! 156: if (!(bp = realloc(bp, (u_int)size))) ! 157: no_memory(); ! 158: return(bp); ! 159: } ! 160: ! 161: /* ! 162: * add an arc from node s1 to node s2 in the graph. If s1 or s2 are not in ! 163: * the graph, then add them. ! 164: */ ! 165: void ! 166: add_arc(s1, s2) ! 167: char *s1, *s2; ! 168: { ! 169: register NODE *n1; ! 170: NODE *n2; ! 171: int bsize; ! 172: ! 173: n1 = find_node(s1); ! 174: if (!n1) ! 175: n1 = add_node(s1); ! 176: ! 177: if (!strcmp(s1, s2)) ! 178: return; ! 179: ! 180: n2 = find_node(s2); ! 181: if (!n2) ! 182: n2 = add_node(s2); ! 183: ! 184: /* ! 185: * could check to see if this arc is here already, but it isn't ! 186: * worth the bother -- there usually isn't and it doesn't hurt if ! 187: * there is (I think :-). ! 188: */ ! 189: if (n1->n_narcs == n1->n_arcsize) { ! 190: if (!n1->n_arcsize) ! 191: n1->n_arcsize = 10; ! 192: bsize = n1->n_arcsize * sizeof(*n1->n_arcs) * 2; ! 193: n1->n_arcs = (NODE **)grow_buf((char *)n1->n_arcs, bsize); ! 194: n1->n_arcsize = bsize / sizeof(*n1->n_arcs); ! 195: } ! 196: n1->n_arcs[n1->n_narcs++] = n2; ! 197: ++n2->n_refcnt; ! 198: } ! 199: ! 200: hash_string(s) ! 201: char *s; ! 202: { ! 203: register int hash, i; ! 204: ! 205: for (hash = 0, i = 1; *s; s++, i++) ! 206: hash += *s * i; ! 207: return(hash % HASHSIZE); ! 208: } ! 209: ! 210: /* ! 211: * find a node in the graph and return a pointer to it - returns null if not ! 212: * found. ! 213: */ ! 214: NODE * ! 215: find_node(name) ! 216: char *name; ! 217: { ! 218: register NODE *n; ! 219: ! 220: for (n = hashtable[hash_string(name)]; n; n = n->n_hash) ! 221: if (!strcmp(n->n_name, name)) ! 222: return(n); ! 223: return((NODE *)NULL); ! 224: } ! 225: ! 226: /* Add a node to the graph and return a pointer to it. */ ! 227: NODE * ! 228: add_node(name) ! 229: char *name; ! 230: { ! 231: register NODE *n; ! 232: int hash; ! 233: ! 234: if (!(n = (NODE *)malloc(sizeof(NODE))) || !(n->n_name = strdup(name))) ! 235: no_memory(); ! 236: ! 237: n->n_narcs = 0; ! 238: n->n_arcsize = 0; ! 239: n->n_arcs = (NODE **)NULL; ! 240: n->n_refcnt = 0; ! 241: n->n_flags = 0; ! 242: ! 243: /* add to linked list */ ! 244: if (n->n_next = graph) ! 245: graph->n_prevp = &n->n_next; ! 246: n->n_prevp = &graph; ! 247: graph = n; ! 248: ! 249: /* add to hash table */ ! 250: hash = hash_string(name); ! 251: n->n_hash = hashtable[hash]; ! 252: hashtable[hash] = n; ! 253: return(n); ! 254: } ! 255: ! 256: /* do topological sort on graph */ ! 257: void ! 258: tsort() ! 259: { ! 260: register NODE *n, *next; ! 261: register int cnt; ! 262: ! 263: while (graph) { ! 264: /* ! 265: * keep getting rid of simple cases until there are none left, ! 266: * if there are any nodes still in the graph, then there is ! 267: * a cycle in it. ! 268: */ ! 269: do { ! 270: for (cnt = 0, n = graph; n; n = next) { ! 271: next = n->n_next; ! 272: if (n->n_refcnt == 0) { ! 273: remove_node(n); ! 274: ++cnt; ! 275: } ! 276: } ! 277: } while (graph && cnt); ! 278: ! 279: if (!graph) ! 280: break; ! 281: ! 282: if (!cycle_buf) { ! 283: /* ! 284: * allocate space for two cycle logs - one to be used ! 285: * as scratch space, the other to save the longest ! 286: * cycle. ! 287: */ ! 288: for (cnt = 0, n = graph; n; n = n->n_next) ! 289: ++cnt; ! 290: cycle_buf = ! 291: (NODE **)malloc((u_int)sizeof(NODE *) * cnt); ! 292: longest_cycle = ! 293: (NODE **)malloc((u_int)sizeof(NODE *) * cnt); ! 294: if (!cycle_buf || !longest_cycle) ! 295: no_memory(); ! 296: } ! 297: for (n = graph; n; n = n->n_next) ! 298: if (!(n->n_flags & NF_ACYCLIC)) { ! 299: if (cnt = find_cycle(n, n, 0, 0)) { ! 300: register int i; ! 301: ! 302: (void)fprintf(stderr, ! 303: "tsort: cycle in data.\n"); ! 304: for (i = 0; i < cnt; i++) ! 305: (void)fprintf(stderr, ! 306: "tsort: %s.\n", longest_cycle[i]->n_name); ! 307: remove_node(n); ! 308: break; ! 309: } else ! 310: /* to avoid further checks */ ! 311: n->n_flags = NF_ACYCLIC; ! 312: } ! 313: ! 314: if (!n) { ! 315: (void)fprintf(stderr, ! 316: "tsort: internal error -- could not find cycle.\n"); ! 317: exit(1); ! 318: } ! 319: } ! 320: } ! 321: ! 322: /* print node and remove from graph (does not actually free node) */ ! 323: void ! 324: remove_node(n) ! 325: register NODE *n; ! 326: { ! 327: register NODE **np; ! 328: register int i; ! 329: ! 330: (void)printf("%s\n", n->n_name); ! 331: for (np = n->n_arcs, i = n->n_narcs; --i >= 0; np++) ! 332: --(*np)->n_refcnt; ! 333: n->n_narcs = 0; ! 334: *n->n_prevp = n->n_next; ! 335: if (n->n_next) ! 336: n->n_next->n_prevp = n->n_prevp; ! 337: } ! 338: ! 339: /* look for the longest cycle from node from to node to. */ ! 340: find_cycle(from, to, longest_len, depth) ! 341: NODE *from, *to; ! 342: int depth, longest_len; ! 343: { ! 344: register NODE **np; ! 345: register int i, len; ! 346: ! 347: /* ! 348: * avoid infinite loops and ignore portions of the graph known ! 349: * to be acyclic ! 350: */ ! 351: if (from->n_flags & (NF_MARK|NF_ACYCLIC)) ! 352: return(0); ! 353: from->n_flags = NF_MARK; ! 354: ! 355: for (np = from->n_arcs, i = from->n_narcs; --i >= 0; np++) { ! 356: cycle_buf[depth] = *np; ! 357: if (*np == to) { ! 358: if (depth + 1 > longest_len) { ! 359: longest_len = depth + 1; ! 360: (void)memcpy((char *)longest_cycle, ! 361: (char *)cycle_buf, ! 362: longest_len * sizeof(NODE *)); ! 363: } ! 364: } else { ! 365: len = find_cycle(*np, to, longest_len, depth + 1); ! 366: if (len > longest_len) ! 367: longest_len = len; ! 368: } ! 369: } ! 370: from->n_flags &= ~NF_MARK; ! 371: return(longest_len); ! 372: } ! 373: ! 374: void ! 375: no_memory() ! 376: { ! 377: (void)fprintf(stderr, "tsort: %s.\n", strerror(ENOMEM)); ! 378: exit(1); ! 379: }
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