tsort.c revision 1.8 1 1.1 cgd /*
2 1.7 cgd * Copyright (c) 1989, 1993
3 1.7 cgd * The Regents of the University of California. All rights reserved.
4 1.1 cgd *
5 1.1 cgd * This code is derived from software contributed to Berkeley by
6 1.1 cgd * Michael Rendell of Memorial University of Newfoundland.
7 1.1 cgd *
8 1.1 cgd * Redistribution and use in source and binary forms, with or without
9 1.1 cgd * modification, are permitted provided that the following conditions
10 1.1 cgd * are met:
11 1.1 cgd * 1. Redistributions of source code must retain the above copyright
12 1.1 cgd * notice, this list of conditions and the following disclaimer.
13 1.1 cgd * 2. Redistributions in binary form must reproduce the above copyright
14 1.1 cgd * notice, this list of conditions and the following disclaimer in the
15 1.1 cgd * documentation and/or other materials provided with the distribution.
16 1.1 cgd * 3. All advertising materials mentioning features or use of this software
17 1.1 cgd * must display the following acknowledgement:
18 1.1 cgd * This product includes software developed by the University of
19 1.1 cgd * California, Berkeley and its contributors.
20 1.1 cgd * 4. Neither the name of the University nor the names of its contributors
21 1.1 cgd * may be used to endorse or promote products derived from this software
22 1.1 cgd * without specific prior written permission.
23 1.1 cgd *
24 1.1 cgd * THIS SOFTWARE IS PROVIDED BY THE REGENTS AND CONTRIBUTORS ``AS IS'' AND
25 1.1 cgd * ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE
26 1.1 cgd * IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR PURPOSE
27 1.1 cgd * ARE DISCLAIMED. IN NO EVENT SHALL THE REGENTS OR CONTRIBUTORS BE LIABLE
28 1.1 cgd * FOR ANY DIRECT, INDIRECT, INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL
29 1.1 cgd * DAMAGES (INCLUDING, BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS
30 1.1 cgd * OR SERVICES; LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION)
31 1.1 cgd * HOWEVER CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT
32 1.1 cgd * LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY
33 1.1 cgd * OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF
34 1.1 cgd * SUCH DAMAGE.
35 1.1 cgd */
36 1.1 cgd
37 1.1 cgd #ifndef lint
38 1.7 cgd static char copyright[] =
39 1.7 cgd "@(#) Copyright (c) 1989, 1993\n\
40 1.7 cgd The Regents of the University of California. All rights reserved.\n";
41 1.1 cgd #endif /* not lint */
42 1.1 cgd
43 1.1 cgd #ifndef lint
44 1.7 cgd /* from: static char sccsid[] = "@(#)tsort.c 8.1 (Berkeley) 6/9/93"; */
45 1.8 cgd static char *rcsid = "$Id: tsort.c,v 1.8 1994/02/04 07:18:27 cgd Exp $";
46 1.1 cgd #endif /* not lint */
47 1.1 cgd
48 1.1 cgd #include <sys/types.h>
49 1.1 cgd #include <errno.h>
50 1.7 cgd #include <fcntl.h>
51 1.7 cgd #include <db.h>
52 1.1 cgd #include <stdio.h>
53 1.7 cgd #include <stdlib.h>
54 1.1 cgd #include <ctype.h>
55 1.1 cgd #include <string.h>
56 1.8 cgd #include <err.h>
57 1.1 cgd
58 1.1 cgd /*
59 1.7 cgd * Topological sort. Input is a list of pairs of strings separated by
60 1.1 cgd * white space (spaces, tabs, and/or newlines); strings are written to
61 1.1 cgd * standard output in sorted order, one per line.
62 1.1 cgd *
63 1.1 cgd * usage:
64 1.7 cgd * tsort [-l] [inputfile]
65 1.1 cgd * If no input file is specified, standard input is read.
66 1.1 cgd *
67 1.1 cgd * Should be compatable with AT&T tsort HOWEVER the output is not identical
68 1.1 cgd * (i.e. for most graphs there is more than one sorted order, and this tsort
69 1.1 cgd * usually generates a different one then the AT&T tsort). Also, cycle
70 1.1 cgd * reporting seems to be more accurate in this version (the AT&T tsort
71 1.1 cgd * sometimes says a node is in a cycle when it isn't).
72 1.1 cgd *
73 1.1 cgd * Michael Rendell, michael (at) stretch.cs.mun.ca - Feb 26, '90
74 1.1 cgd */
75 1.1 cgd #define HASHSIZE 53 /* doesn't need to be big */
76 1.1 cgd #define NF_MARK 0x1 /* marker for cycle detection */
77 1.1 cgd #define NF_ACYCLIC 0x2 /* this node is cycle free */
78 1.7 cgd #define NF_NODEST 0x4 /* Unreachable */
79 1.7 cgd
80 1.1 cgd
81 1.1 cgd typedef struct node_str NODE;
82 1.1 cgd
83 1.1 cgd struct node_str {
84 1.1 cgd NODE **n_prevp; /* pointer to previous node's n_next */
85 1.1 cgd NODE *n_next; /* next node in graph */
86 1.7 cgd NODE **n_arcs; /* array of arcs to other nodes */
87 1.1 cgd int n_narcs; /* number of arcs in n_arcs[] */
88 1.1 cgd int n_arcsize; /* size of n_arcs[] array */
89 1.1 cgd int n_refcnt; /* # of arcs pointing to this node */
90 1.1 cgd int n_flags; /* NF_* */
91 1.7 cgd char n_name[1]; /* name of this node */
92 1.1 cgd };
93 1.1 cgd
94 1.1 cgd typedef struct _buf {
95 1.1 cgd char *b_buf;
96 1.1 cgd int b_bsize;
97 1.1 cgd } BUF;
98 1.1 cgd
99 1.7 cgd DB *db;
100 1.1 cgd NODE *graph;
101 1.1 cgd NODE **cycle_buf;
102 1.1 cgd NODE **longest_cycle;
103 1.7 cgd int longest = 0;
104 1.7 cgd int debug = 0;
105 1.7 cgd
106 1.7 cgd void add_arc __P((char *, char *));
107 1.7 cgd int find_cycle __P((NODE *, NODE *, int, int));
108 1.7 cgd NODE *get_node __P((char *));
109 1.7 cgd void *grow_buf __P((void *, int));
110 1.7 cgd void remove_node __P((NODE *));
111 1.7 cgd void tsort __P((void));
112 1.7 cgd void usage __P((void));
113 1.1 cgd
114 1.7 cgd int
115 1.1 cgd main(argc, argv)
116 1.1 cgd int argc;
117 1.7 cgd char *argv[];
118 1.1 cgd {
119 1.1 cgd register BUF *b;
120 1.1 cgd register int c, n;
121 1.1 cgd FILE *fp;
122 1.7 cgd int bsize, ch, nused;
123 1.1 cgd BUF bufs[2];
124 1.1 cgd
125 1.7 cgd while ((ch = getopt(argc, argv, "dl")) != EOF)
126 1.7 cgd switch(ch) {
127 1.7 cgd case 'd':
128 1.7 cgd debug = 1;
129 1.7 cgd break;
130 1.7 cgd
131 1.7 cgd case 'l':
132 1.7 cgd longest = 1;
133 1.7 cgd break;
134 1.7 cgd
135 1.7 cgd case '?':
136 1.7 cgd default:
137 1.7 cgd usage();
138 1.7 cgd }
139 1.7 cgd argc -= optind;
140 1.7 cgd argv += optind;
141 1.7 cgd
142 1.7 cgd switch(argc) {
143 1.7 cgd case 0:
144 1.1 cgd fp = stdin;
145 1.7 cgd break;
146 1.7 cgd case 1:
147 1.7 cgd if ((fp = fopen(*argv, "r")) == NULL)
148 1.8 cgd err(1, NULL);
149 1.7 cgd break;
150 1.7 cgd default:
151 1.7 cgd usage();
152 1.1 cgd }
153 1.1 cgd
154 1.1 cgd for (b = bufs, n = 2; --n >= 0; b++)
155 1.7 cgd b->b_buf = grow_buf(NULL, b->b_bsize = 1024);
156 1.1 cgd
157 1.1 cgd /* parse input and build the graph */
158 1.1 cgd for (n = 0, c = getc(fp);;) {
159 1.1 cgd while (c != EOF && isspace(c))
160 1.1 cgd c = getc(fp);
161 1.1 cgd if (c == EOF)
162 1.1 cgd break;
163 1.1 cgd
164 1.1 cgd nused = 0;
165 1.1 cgd b = &bufs[n];
166 1.1 cgd bsize = b->b_bsize;
167 1.1 cgd do {
168 1.1 cgd b->b_buf[nused++] = c;
169 1.7 cgd if (nused == bsize)
170 1.7 cgd b->b_buf = grow_buf(b->b_buf, bsize *= 2);
171 1.1 cgd c = getc(fp);
172 1.1 cgd } while (c != EOF && !isspace(c));
173 1.1 cgd
174 1.1 cgd b->b_buf[nused] = '\0';
175 1.1 cgd b->b_bsize = bsize;
176 1.1 cgd if (n)
177 1.1 cgd add_arc(bufs[0].b_buf, bufs[1].b_buf);
178 1.1 cgd n = !n;
179 1.1 cgd }
180 1.1 cgd (void)fclose(fp);
181 1.7 cgd if (n)
182 1.8 cgd errx(1, "odd data count");
183 1.1 cgd
184 1.1 cgd /* do the sort */
185 1.1 cgd tsort();
186 1.1 cgd exit(0);
187 1.1 cgd }
188 1.1 cgd
189 1.1 cgd /* double the size of oldbuf and return a pointer to the new buffer. */
190 1.7 cgd void *
191 1.1 cgd grow_buf(bp, size)
192 1.7 cgd void *bp;
193 1.1 cgd int size;
194 1.1 cgd {
195 1.7 cgd if ((bp = realloc(bp, (u_int)size)) == NULL)
196 1.8 cgd err(1, NULL);
197 1.7 cgd return (bp);
198 1.1 cgd }
199 1.1 cgd
200 1.1 cgd /*
201 1.1 cgd * add an arc from node s1 to node s2 in the graph. If s1 or s2 are not in
202 1.1 cgd * the graph, then add them.
203 1.1 cgd */
204 1.1 cgd void
205 1.1 cgd add_arc(s1, s2)
206 1.1 cgd char *s1, *s2;
207 1.1 cgd {
208 1.1 cgd register NODE *n1;
209 1.1 cgd NODE *n2;
210 1.4 cgd int bsize, i;
211 1.1 cgd
212 1.7 cgd n1 = get_node(s1);
213 1.1 cgd
214 1.1 cgd if (!strcmp(s1, s2))
215 1.1 cgd return;
216 1.1 cgd
217 1.7 cgd n2 = get_node(s2);
218 1.1 cgd
219 1.1 cgd /*
220 1.3 cgd * Check if this arc is already here.
221 1.3 cgd */
222 1.3 cgd for (i = 0; i < n1->n_narcs; i++)
223 1.3 cgd if (n1->n_arcs[i] == n2)
224 1.3 cgd return;
225 1.3 cgd /*
226 1.3 cgd * Add it.
227 1.1 cgd */
228 1.1 cgd if (n1->n_narcs == n1->n_arcsize) {
229 1.1 cgd if (!n1->n_arcsize)
230 1.1 cgd n1->n_arcsize = 10;
231 1.1 cgd bsize = n1->n_arcsize * sizeof(*n1->n_arcs) * 2;
232 1.7 cgd n1->n_arcs = grow_buf(n1->n_arcs, bsize);
233 1.1 cgd n1->n_arcsize = bsize / sizeof(*n1->n_arcs);
234 1.1 cgd }
235 1.1 cgd n1->n_arcs[n1->n_narcs++] = n2;
236 1.1 cgd ++n2->n_refcnt;
237 1.1 cgd }
238 1.1 cgd
239 1.7 cgd /* Find a node in the graph (insert if not found) and return a pointer to it. */
240 1.1 cgd NODE *
241 1.7 cgd get_node(name)
242 1.1 cgd char *name;
243 1.1 cgd {
244 1.7 cgd DBT data, key;
245 1.7 cgd NODE *n;
246 1.1 cgd
247 1.7 cgd if (db == NULL &&
248 1.7 cgd (db = dbopen(NULL, O_RDWR, 0, DB_HASH, NULL)) == NULL)
249 1.8 cgd err(1, "db: open: %s", name);
250 1.7 cgd
251 1.7 cgd key.data = name;
252 1.7 cgd key.size = strlen(name) + 1;
253 1.7 cgd
254 1.7 cgd switch((*db->get)(db, &key, &data, 0)) {
255 1.7 cgd case 0:
256 1.7 cgd bcopy(data.data, &n, sizeof(n));
257 1.7 cgd return (n);
258 1.7 cgd case 1:
259 1.7 cgd break;
260 1.7 cgd default:
261 1.7 cgd case -1:
262 1.8 cgd err(1, "db: get %s", name);
263 1.7 cgd }
264 1.1 cgd
265 1.7 cgd if ((n = malloc(sizeof(NODE) + key.size)) == NULL)
266 1.8 cgd err(1, NULL);
267 1.1 cgd
268 1.1 cgd n->n_narcs = 0;
269 1.1 cgd n->n_arcsize = 0;
270 1.7 cgd n->n_arcs = NULL;
271 1.1 cgd n->n_refcnt = 0;
272 1.1 cgd n->n_flags = 0;
273 1.7 cgd bcopy(name, n->n_name, key.size);
274 1.1 cgd
275 1.7 cgd /* Add to linked list. */
276 1.1 cgd if (n->n_next = graph)
277 1.1 cgd graph->n_prevp = &n->n_next;
278 1.1 cgd n->n_prevp = &graph;
279 1.1 cgd graph = n;
280 1.1 cgd
281 1.7 cgd /* Add to hash table. */
282 1.7 cgd data.data = &n;
283 1.7 cgd data.size = sizeof(n);
284 1.7 cgd if ((*db->put)(db, &key, &data, 0))
285 1.8 cgd err(1, "db: put %s", name);
286 1.7 cgd return (n);
287 1.7 cgd }
288 1.7 cgd
289 1.7 cgd
290 1.7 cgd /*
291 1.7 cgd * Clear the NODEST flag from all nodes.
292 1.7 cgd */
293 1.7 cgd void
294 1.7 cgd clear_cycle()
295 1.7 cgd {
296 1.7 cgd NODE *n;
297 1.7 cgd
298 1.7 cgd for (n = graph; n; n = n->n_next)
299 1.7 cgd n->n_flags &= ~NF_NODEST;
300 1.1 cgd }
301 1.1 cgd
302 1.1 cgd /* do topological sort on graph */
303 1.1 cgd void
304 1.1 cgd tsort()
305 1.1 cgd {
306 1.7 cgd register NODE *n, *next;
307 1.1 cgd register int cnt;
308 1.1 cgd
309 1.1 cgd while (graph) {
310 1.1 cgd /*
311 1.7 cgd * Keep getting rid of simple cases until there are none left,
312 1.1 cgd * if there are any nodes still in the graph, then there is
313 1.1 cgd * a cycle in it.
314 1.1 cgd */
315 1.1 cgd do {
316 1.1 cgd for (cnt = 0, n = graph; n; n = next) {
317 1.1 cgd next = n->n_next;
318 1.1 cgd if (n->n_refcnt == 0) {
319 1.1 cgd remove_node(n);
320 1.1 cgd ++cnt;
321 1.1 cgd }
322 1.1 cgd }
323 1.1 cgd } while (graph && cnt);
324 1.1 cgd
325 1.1 cgd if (!graph)
326 1.1 cgd break;
327 1.1 cgd
328 1.1 cgd if (!cycle_buf) {
329 1.1 cgd /*
330 1.7 cgd * Allocate space for two cycle logs - one to be used
331 1.1 cgd * as scratch space, the other to save the longest
332 1.1 cgd * cycle.
333 1.1 cgd */
334 1.1 cgd for (cnt = 0, n = graph; n; n = n->n_next)
335 1.1 cgd ++cnt;
336 1.7 cgd cycle_buf = malloc((u_int)sizeof(NODE *) * cnt);
337 1.7 cgd longest_cycle = malloc((u_int)sizeof(NODE *) * cnt);
338 1.7 cgd if (cycle_buf == NULL || longest_cycle == NULL)
339 1.8 cgd err(1, NULL);
340 1.1 cgd }
341 1.1 cgd for (n = graph; n; n = n->n_next)
342 1.1 cgd if (!(n->n_flags & NF_ACYCLIC)) {
343 1.1 cgd if (cnt = find_cycle(n, n, 0, 0)) {
344 1.1 cgd register int i;
345 1.1 cgd
346 1.8 cgd warnx("cycle in data");
347 1.1 cgd for (i = 0; i < cnt; i++)
348 1.8 cgd warnx("%s",
349 1.8 cgd longest_cycle[i]->n_name);
350 1.1 cgd remove_node(n);
351 1.7 cgd clear_cycle();
352 1.1 cgd break;
353 1.7 cgd } else {
354 1.1 cgd /* to avoid further checks */
355 1.7 cgd n->n_flags |= NF_ACYCLIC;
356 1.7 cgd clear_cycle();
357 1.7 cgd }
358 1.1 cgd }
359 1.1 cgd
360 1.7 cgd if (!n)
361 1.8 cgd err(1, "internal error -- could not find cycle");
362 1.1 cgd }
363 1.1 cgd }
364 1.1 cgd
365 1.1 cgd /* print node and remove from graph (does not actually free node) */
366 1.1 cgd void
367 1.1 cgd remove_node(n)
368 1.1 cgd register NODE *n;
369 1.1 cgd {
370 1.1 cgd register NODE **np;
371 1.1 cgd register int i;
372 1.1 cgd
373 1.1 cgd (void)printf("%s\n", n->n_name);
374 1.1 cgd for (np = n->n_arcs, i = n->n_narcs; --i >= 0; np++)
375 1.1 cgd --(*np)->n_refcnt;
376 1.1 cgd n->n_narcs = 0;
377 1.1 cgd *n->n_prevp = n->n_next;
378 1.1 cgd if (n->n_next)
379 1.1 cgd n->n_next->n_prevp = n->n_prevp;
380 1.1 cgd }
381 1.1 cgd
382 1.7 cgd
383 1.7 cgd /* look for the longest? cycle from node from to node to. */
384 1.7 cgd int
385 1.1 cgd find_cycle(from, to, longest_len, depth)
386 1.1 cgd NODE *from, *to;
387 1.1 cgd int depth, longest_len;
388 1.1 cgd {
389 1.1 cgd register NODE **np;
390 1.1 cgd register int i, len;
391 1.1 cgd
392 1.1 cgd /*
393 1.1 cgd * avoid infinite loops and ignore portions of the graph known
394 1.1 cgd * to be acyclic
395 1.1 cgd */
396 1.7 cgd if (from->n_flags & (NF_NODEST|NF_MARK|NF_ACYCLIC))
397 1.7 cgd return (0);
398 1.7 cgd from->n_flags |= NF_MARK;
399 1.1 cgd
400 1.1 cgd for (np = from->n_arcs, i = from->n_narcs; --i >= 0; np++) {
401 1.1 cgd cycle_buf[depth] = *np;
402 1.1 cgd if (*np == to) {
403 1.1 cgd if (depth + 1 > longest_len) {
404 1.1 cgd longest_len = depth + 1;
405 1.1 cgd (void)memcpy((char *)longest_cycle,
406 1.1 cgd (char *)cycle_buf,
407 1.1 cgd longest_len * sizeof(NODE *));
408 1.1 cgd }
409 1.1 cgd } else {
410 1.7 cgd if ((*np)->n_flags & (NF_MARK|NF_ACYCLIC|NF_NODEST))
411 1.7 cgd continue;
412 1.1 cgd len = find_cycle(*np, to, longest_len, depth + 1);
413 1.7 cgd
414 1.7 cgd if (debug)
415 1.7 cgd printf("%*s %s->%s %d\n", depth, "",
416 1.7 cgd from->n_name, to->n_name, len);
417 1.7 cgd
418 1.7 cgd if (len == 0)
419 1.7 cgd (*np)->n_flags |= NF_NODEST;
420 1.7 cgd
421 1.7 cgd if (len > longest_len)
422 1.1 cgd longest_len = len;
423 1.7 cgd
424 1.7 cgd if (len > 0 && !longest)
425 1.5 cgd break;
426 1.1 cgd }
427 1.1 cgd }
428 1.7 cgd from->n_flags &= ~NF_MARK;
429 1.7 cgd return (longest_len);
430 1.1 cgd }
431 1.1 cgd
432 1.1 cgd void
433 1.7 cgd usage()
434 1.7 cgd {
435 1.7 cgd (void)fprintf(stderr, "usage: tsort [-l] [file]\n");
436 1.7 cgd exit(1);
437 1.1 cgd }
438