/* * Copyright (c) 1989 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. */ #ifdef __ORCAC__ #pragma stacksize 3072 #pragma optimize -1 #endif #ifndef lint char copyright[] = "@(#) Copyright (c) 1989 The Regents of the University of California.\n\ All rights reserved.\n"; #endif /* not lint */ #ifndef lint static char sccsid[] = "@(#)tsort.c 5.3 (Berkeley) 6/1/90"; #endif /* not lint */ #include #include #include #include #include #include /* * Topological sort. Input is a list of pairs of strings seperated by * white space (spaces, tabs, and/or newlines); strings are written to * standard output in sorted order, one per line. * * usage: * tsort [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 */ typedef struct node_str NODE; struct node_str { char *n_name; /* name of this node */ NODE **n_prevp; /* pointer to previous node's n_next */ NODE *n_next; /* next node in graph */ NODE *n_hash; /* next node in hash table */ int n_narcs; /* number of arcs in n_arcs[] */ int n_arcsize; /* size of n_arcs[] array */ NODE **n_arcs; /* array of arcs to other nodes */ int n_refcnt; /* # of arcs pointing to this node */ int n_flags; /* NF_* */ }; typedef struct _buf { char *b_buf; int b_bsize; } BUF; NODE *add_node(char *), *find_node(char *); void add_arc(char *,char *), no_memory(void), remove_node(NODE *), tsort(void); char *grow_buf(char *, int); char *strdup(char*); extern int errno; NODE *graph; NODE *hashtable[HASHSIZE]; NODE **cycle_buf; NODE **longest_cycle; int main(int argc, char **argv) { register BUF *b; register int c, n; FILE *fp; int bsize, nused; BUF bufs[2]; if (argc < 2) fp = stdin; else if (argc > 2) { (void)fprintf(stderr, "usage: tsort [ inputfile ]\n"); exit(1); } else if (!(fp = fopen(argv[1], "r"))) { (void)fprintf(stderr, "tsort: %s.\n", strerror(errno)); exit(1); } for (b = bufs, n = 2; --n >= 0; b++) b->b_buf = grow_buf((char *)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) { bsize *= 2; b->b_buf = grow_buf(b->b_buf, bsize); } 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) { (void)fprintf(stderr, "tsort: odd data count.\n"); exit(1); } /* do the sort */ tsort(); exit(0); } /* double the size of oldbuf and return a pointer to the new buffer. */ char *grow_buf(char *bp, int size) { if (!(bp = realloc(bp, (u_int)size))) no_memory(); 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(char *s1, char *s2) { register NODE *n1; NODE *n2; int bsize; n1 = find_node(s1); if (!n1) n1 = add_node(s1); if (!strcmp(s1, s2)) return; n2 = find_node(s2); if (!n2) n2 = add_node(s2); /* * could check to see if this arc is here already, but it isn't * worth the bother -- there usually isn't and it doesn't hurt if * there is (I think :-). */ 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 = (NODE **)grow_buf((char *)n1->n_arcs, bsize); n1->n_arcsize = bsize / sizeof(*n1->n_arcs); } n1->n_arcs[n1->n_narcs++] = n2; ++n2->n_refcnt; } int hash_string(char *s) { register int hash, i; for (hash = 0, i = 1; *s; s++, i++) hash += *s * i; return(hash % HASHSIZE); } /* * find a node in the graph and return a pointer to it - returns null if not * found. */ NODE *find_node(char *name) { register NODE *n; for (n = hashtable[hash_string(name)]; n; n = n->n_hash) if (!strcmp(n->n_name, name)) return(n); return((NODE *)NULL); } /* Add a node to the graph and return a pointer to it. */ NODE *add_node(char *name) { register NODE *n; int hash; if (!(n = (NODE *)malloc(sizeof(NODE))) || !(n->n_name = strdup(name))) no_memory(); n->n_narcs = 0; n->n_arcsize = 0; n->n_arcs = (NODE **)NULL; n->n_refcnt = 0; n->n_flags = 0; /* 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 */ hash = hash_string(name); n->n_hash = hashtable[hash]; hashtable[hash] = n; return(n); } /* do topological sort on graph */ void tsort(void) { 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 = (NODE **)malloc((u_int)sizeof(NODE *) * cnt); longest_cycle = (NODE **)malloc((u_int)sizeof(NODE *) * cnt); if (!cycle_buf || !longest_cycle) no_memory(); } 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; (void)fprintf(stderr, "tsort: cycle in data.\n"); for (i = 0; i < cnt; i++) (void)fprintf(stderr, "tsort: %s.\n", longest_cycle[i]->n_name); remove_node(n); break; } else /* to avoid further checks */ n->n_flags = NF_ACYCLIC; } if (!n) { (void)fprintf(stderr, "tsort: internal error -- could not find cycle.\n"); exit(1); } } } /* print node and remove from graph (does not actually free node) */ void remove_node(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(NODE *from, NODE *to, int longest_len, int depth) { 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_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 { len = find_cycle(*np, to, longest_len, depth + 1); if (len > longest_len) longest_len = len; } } from->n_flags &= ~NF_MARK; return(longest_len); } void no_memory(void) { (void)fprintf(stderr, "tsort: %s.\n", strerror(ENOMEM)); exit(1); }