/* * Copyright (c) 1989, 1993 * The Regents of the University of California. All rights reserved. * * This code is derived from software contributed to Berkeley by * Michael Rendell of Memorial University of Newfoundland. * * Redistribution and use in source and binary forms, with or without * modification, are permitted provided that the following conditions * are met: * 1. Redistributions of source code must retain the above copyright * notice, this list of conditions and the following disclaimer. * 2. Redistributions in binary form must reproduce the above copyright * notice, this list of conditions and the following disclaimer in the * documentation and/or other materials provided with the distribution. * 3. All advertising materials mentioning features or use of this software * must display the following acknowledgement: * This product includes software developed by the University of * California, Berkeley and its contributors. * 4. Neither the name of the University nor the names of its contributors * may be used to endorse or promote products derived from this software * without specific prior written permission. * * THIS SOFTWARE IS PROVIDED BY THE REGENTS AND CONTRIBUTORS ``AS IS'' AND * ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE * IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR PURPOSE * ARE DISCLAIMED. IN NO EVENT SHALL THE REGENTS OR CONTRIBUTORS BE LIABLE * FOR ANY DIRECT, INDIRECT, INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL * DAMAGES (INCLUDING, BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS * OR SERVICES; LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) * HOWEVER CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT * LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY * OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF * SUCH DAMAGE. */ #ifndef lint static char copyright[] = "@(#) Copyright (c) 1989, 1993\n\ The Regents of the University of California. All rights reserved.\n"; #endif /* not lint */ #ifndef lint /* from: static char sccsid[] = "@(#)tsort.c 8.1 (Berkeley) 6/9/93"; */ static char *rcsid = "$Id: tsort.c,v 1.8 1994/02/04 07:18:27 cgd Exp $"; #endif /* not lint */ #include #include #include #include #include #include #include #include #include /* * Topological sort. Input is a list of pairs of strings separated by * white space (spaces, tabs, and/or newlines); strings are written to * standard output in sorted order, one per line. * * usage: * tsort [-l] [inputfile] * If no input file is specified, standard input is read. * * Should be compatable with AT&T tsort HOWEVER the output is not identical * (i.e. for most graphs there is more than one sorted order, and this tsort * usually generates a different one then the AT&T tsort). Also, cycle * reporting seems to be more accurate in this version (the AT&T tsort * sometimes says a node is in a cycle when it isn't). * * Michael Rendell, michael@stretch.cs.mun.ca - Feb 26, '90 */ #define HASHSIZE 53 /* doesn't need to be big */ #define NF_MARK 0x1 /* marker for cycle detection */ #define NF_ACYCLIC 0x2 /* this node is cycle free */ #define NF_NODEST 0x4 /* Unreachable */ typedef struct node_str NODE; struct node_str { NODE **n_prevp; /* pointer to previous node's n_next */ NODE *n_next; /* next node in graph */ NODE **n_arcs; /* array of arcs to other nodes */ int n_narcs; /* number of arcs in n_arcs[] */ int n_arcsize; /* size of n_arcs[] array */ int n_refcnt; /* # of arcs pointing to this node */ int n_flags; /* NF_* */ char n_name[1]; /* name of this node */ }; typedef struct _buf { char *b_buf; int b_bsize; } BUF; DB *db; NODE *graph; NODE **cycle_buf; NODE **longest_cycle; int longest = 0; int debug = 0; void add_arc __P((char *, char *)); int find_cycle __P((NODE *, NODE *, int, int)); NODE *get_node __P((char *)); void *grow_buf __P((void *, int)); void remove_node __P((NODE *)); void tsort __P((void)); void usage __P((void)); int main(argc, argv) int argc; char *argv[]; { register BUF *b; register int c, n; FILE *fp; int bsize, ch, nused; BUF bufs[2]; while ((ch = getopt(argc, argv, "dl")) != EOF) switch(ch) { case 'd': debug = 1; break; case 'l': longest = 1; break; case '?': default: usage(); } argc -= optind; argv += optind; switch(argc) { case 0: fp = stdin; break; case 1: if ((fp = fopen(*argv, "r")) == NULL) err(1, NULL); break; default: usage(); } for (b = bufs, n = 2; --n >= 0; b++) b->b_buf = grow_buf(NULL, b->b_bsize = 1024); /* parse input and build the graph */ for (n = 0, c = getc(fp);;) { while (c != EOF && isspace(c)) c = getc(fp); if (c == EOF) break; nused = 0; b = &bufs[n]; bsize = b->b_bsize; do { b->b_buf[nused++] = c; if (nused == bsize) b->b_buf = grow_buf(b->b_buf, bsize *= 2); c = getc(fp); } while (c != EOF && !isspace(c)); b->b_buf[nused] = '\0'; b->b_bsize = bsize; if (n) add_arc(bufs[0].b_buf, bufs[1].b_buf); n = !n; } (void)fclose(fp); if (n) errx(1, "odd data count"); /* do the sort */ tsort(); exit(0); } /* double the size of oldbuf and return a pointer to the new buffer. */ void * grow_buf(bp, size) void *bp; int size; { if ((bp = realloc(bp, (u_int)size)) == NULL) err(1, NULL); return (bp); } /* * add an arc from node s1 to node s2 in the graph. If s1 or s2 are not in * the graph, then add them. */ void add_arc(s1, s2) char *s1, *s2; { register NODE *n1; NODE *n2; int bsize, i; n1 = get_node(s1); if (!strcmp(s1, s2)) return; n2 = get_node(s2); /* * Check if this arc is already here. */ for (i = 0; i < n1->n_narcs; i++) if (n1->n_arcs[i] == n2) return; /* * Add it. */ if (n1->n_narcs == n1->n_arcsize) { if (!n1->n_arcsize) n1->n_arcsize = 10; bsize = n1->n_arcsize * sizeof(*n1->n_arcs) * 2; n1->n_arcs = grow_buf(n1->n_arcs, bsize); n1->n_arcsize = bsize / sizeof(*n1->n_arcs); } n1->n_arcs[n1->n_narcs++] = n2; ++n2->n_refcnt; } /* Find a node in the graph (insert if not found) and return a pointer to it. */ NODE * get_node(name) char *name; { DBT data, key; NODE *n; if (db == NULL && (db = dbopen(NULL, O_RDWR, 0, DB_HASH, NULL)) == NULL) err(1, "db: open: %s", name); key.data = name; key.size = strlen(name) + 1; switch((*db->get)(db, &key, &data, 0)) { case 0: bcopy(data.data, &n, sizeof(n)); return (n); case 1: break; default: case -1: err(1, "db: get %s", name); } if ((n = malloc(sizeof(NODE) + key.size)) == NULL) err(1, NULL); n->n_narcs = 0; n->n_arcsize = 0; n->n_arcs = NULL; n->n_refcnt = 0; n->n_flags = 0; bcopy(name, n->n_name, key.size); /* Add to linked list. */ if (n->n_next = graph) graph->n_prevp = &n->n_next; n->n_prevp = &graph; graph = n; /* Add to hash table. */ data.data = &n; data.size = sizeof(n); if ((*db->put)(db, &key, &data, 0)) err(1, "db: put %s", name); return (n); } /* * Clear the NODEST flag from all nodes. */ void clear_cycle() { NODE *n; for (n = graph; n; n = n->n_next) n->n_flags &= ~NF_NODEST; } /* do topological sort on graph */ void tsort() { register NODE *n, *next; register int cnt; while (graph) { /* * Keep getting rid of simple cases until there are none left, * if there are any nodes still in the graph, then there is * a cycle in it. */ do { for (cnt = 0, n = graph; n; n = next) { next = n->n_next; if (n->n_refcnt == 0) { remove_node(n); ++cnt; } } } while (graph && cnt); if (!graph) break; if (!cycle_buf) { /* * Allocate space for two cycle logs - one to be used * as scratch space, the other to save the longest * cycle. */ for (cnt = 0, n = graph; n; n = n->n_next) ++cnt; cycle_buf = malloc((u_int)sizeof(NODE *) * cnt); longest_cycle = malloc((u_int)sizeof(NODE *) * cnt); if (cycle_buf == NULL || longest_cycle == NULL) err(1, NULL); } for (n = graph; n; n = n->n_next) if (!(n->n_flags & NF_ACYCLIC)) { if (cnt = find_cycle(n, n, 0, 0)) { register int i; warnx("cycle in data"); for (i = 0; i < cnt; i++) warnx("%s", longest_cycle[i]->n_name); remove_node(n); clear_cycle(); break; } else { /* to avoid further checks */ n->n_flags |= NF_ACYCLIC; clear_cycle(); } } if (!n) err(1, "internal error -- could not find cycle"); } } /* print node and remove from graph (does not actually free node) */ void remove_node(n) register NODE *n; { register NODE **np; register int i; (void)printf("%s\n", n->n_name); for (np = n->n_arcs, i = n->n_narcs; --i >= 0; np++) --(*np)->n_refcnt; n->n_narcs = 0; *n->n_prevp = n->n_next; if (n->n_next) n->n_next->n_prevp = n->n_prevp; } /* look for the longest? cycle from node from to node to. */ int find_cycle(from, to, longest_len, depth) NODE *from, *to; int depth, longest_len; { register NODE **np; register int i, len; /* * avoid infinite loops and ignore portions of the graph known * to be acyclic */ if (from->n_flags & (NF_NODEST|NF_MARK|NF_ACYCLIC)) return (0); from->n_flags |= NF_MARK; for (np = from->n_arcs, i = from->n_narcs; --i >= 0; np++) { cycle_buf[depth] = *np; if (*np == to) { if (depth + 1 > longest_len) { longest_len = depth + 1; (void)memcpy((char *)longest_cycle, (char *)cycle_buf, longest_len * sizeof(NODE *)); } } else { if ((*np)->n_flags & (NF_MARK|NF_ACYCLIC|NF_NODEST)) continue; len = find_cycle(*np, to, longest_len, depth + 1); if (debug) printf("%*s %s->%s %d\n", depth, "", from->n_name, to->n_name, len); if (len == 0) (*np)->n_flags |= NF_NODEST; if (len > longest_len) longest_len = len; if (len > 0 && !longest) break; } } from->n_flags &= ~NF_MARK; return (longest_len); } void usage() { (void)fprintf(stderr, "usage: tsort [-l] [file]\n"); exit(1); }