tsort.c revision 1.13 1 1.13 ross /* $NetBSD: tsort.c,v 1.13 1998/08/25 20:59:42 ross Exp $ */
2 1.9 jtc
3 1.1 cgd /*
4 1.9 jtc * Copyright (c) 1989, 1993, 1994
5 1.7 cgd * The Regents of the University of California. All rights reserved.
6 1.1 cgd *
7 1.1 cgd * This code is derived from software contributed to Berkeley by
8 1.1 cgd * Michael Rendell of Memorial University of Newfoundland.
9 1.1 cgd *
10 1.1 cgd * Redistribution and use in source and binary forms, with or without
11 1.1 cgd * modification, are permitted provided that the following conditions
12 1.1 cgd * are met:
13 1.1 cgd * 1. Redistributions of source code must retain the above copyright
14 1.1 cgd * notice, this list of conditions and the following disclaimer.
15 1.1 cgd * 2. Redistributions in binary form must reproduce the above copyright
16 1.1 cgd * notice, this list of conditions and the following disclaimer in the
17 1.1 cgd * documentation and/or other materials provided with the distribution.
18 1.1 cgd * 3. All advertising materials mentioning features or use of this software
19 1.1 cgd * must display the following acknowledgement:
20 1.1 cgd * This product includes software developed by the University of
21 1.1 cgd * California, Berkeley and its contributors.
22 1.1 cgd * 4. Neither the name of the University nor the names of its contributors
23 1.1 cgd * may be used to endorse or promote products derived from this software
24 1.1 cgd * without specific prior written permission.
25 1.1 cgd *
26 1.1 cgd * THIS SOFTWARE IS PROVIDED BY THE REGENTS AND CONTRIBUTORS ``AS IS'' AND
27 1.1 cgd * ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE
28 1.1 cgd * IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR PURPOSE
29 1.1 cgd * ARE DISCLAIMED. IN NO EVENT SHALL THE REGENTS OR CONTRIBUTORS BE LIABLE
30 1.1 cgd * FOR ANY DIRECT, INDIRECT, INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL
31 1.1 cgd * DAMAGES (INCLUDING, BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS
32 1.1 cgd * OR SERVICES; LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION)
33 1.1 cgd * HOWEVER CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT
34 1.1 cgd * LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY
35 1.1 cgd * OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF
36 1.1 cgd * SUCH DAMAGE.
37 1.1 cgd */
38 1.1 cgd
39 1.12 lukem #include <sys/cdefs.h>
40 1.1 cgd #ifndef lint
41 1.12 lukem __COPYRIGHT("@(#) Copyright (c) 1989, 1993, 1994\n\
42 1.12 lukem The Regents of the University of California. All rights reserved.\n");
43 1.1 cgd #endif /* not lint */
44 1.1 cgd
45 1.1 cgd #ifndef lint
46 1.9 jtc #if 0
47 1.10 jtc static char sccsid[] = "@(#)tsort.c 8.3 (Berkeley) 5/4/95";
48 1.9 jtc #endif
49 1.13 ross __RCSID("$NetBSD: tsort.c,v 1.13 1998/08/25 20:59:42 ross Exp $");
50 1.1 cgd #endif /* not lint */
51 1.1 cgd
52 1.1 cgd #include <sys/types.h>
53 1.9 jtc
54 1.9 jtc #include <ctype.h>
55 1.9 jtc #include <db.h>
56 1.9 jtc #include <err.h>
57 1.1 cgd #include <errno.h>
58 1.7 cgd #include <fcntl.h>
59 1.1 cgd #include <stdio.h>
60 1.7 cgd #include <stdlib.h>
61 1.1 cgd #include <string.h>
62 1.10 jtc #include <unistd.h>
63 1.1 cgd
64 1.1 cgd /*
65 1.7 cgd * Topological sort. Input is a list of pairs of strings separated by
66 1.1 cgd * white space (spaces, tabs, and/or newlines); strings are written to
67 1.1 cgd * standard output in sorted order, one per line.
68 1.1 cgd *
69 1.1 cgd * usage:
70 1.7 cgd * tsort [-l] [inputfile]
71 1.1 cgd * If no input file is specified, standard input is read.
72 1.1 cgd *
73 1.1 cgd * Should be compatable with AT&T tsort HOWEVER the output is not identical
74 1.1 cgd * (i.e. for most graphs there is more than one sorted order, and this tsort
75 1.1 cgd * usually generates a different one then the AT&T tsort). Also, cycle
76 1.1 cgd * reporting seems to be more accurate in this version (the AT&T tsort
77 1.1 cgd * sometimes says a node is in a cycle when it isn't).
78 1.1 cgd *
79 1.1 cgd * Michael Rendell, michael (at) stretch.cs.mun.ca - Feb 26, '90
80 1.1 cgd */
81 1.1 cgd #define HASHSIZE 53 /* doesn't need to be big */
82 1.1 cgd #define NF_MARK 0x1 /* marker for cycle detection */
83 1.1 cgd #define NF_ACYCLIC 0x2 /* this node is cycle free */
84 1.7 cgd #define NF_NODEST 0x4 /* Unreachable */
85 1.7 cgd
86 1.1 cgd typedef struct node_str NODE;
87 1.1 cgd
88 1.1 cgd struct node_str {
89 1.1 cgd NODE **n_prevp; /* pointer to previous node's n_next */
90 1.1 cgd NODE *n_next; /* next node in graph */
91 1.7 cgd NODE **n_arcs; /* array of arcs to other nodes */
92 1.1 cgd int n_narcs; /* number of arcs in n_arcs[] */
93 1.1 cgd int n_arcsize; /* size of n_arcs[] array */
94 1.1 cgd int n_refcnt; /* # of arcs pointing to this node */
95 1.1 cgd int n_flags; /* NF_* */
96 1.7 cgd char n_name[1]; /* name of this node */
97 1.1 cgd };
98 1.1 cgd
99 1.1 cgd typedef struct _buf {
100 1.1 cgd char *b_buf;
101 1.1 cgd int b_bsize;
102 1.1 cgd } BUF;
103 1.1 cgd
104 1.7 cgd DB *db;
105 1.9 jtc NODE *graph, **cycle_buf, **longest_cycle;
106 1.11 mycroft int debug, longest, quiet;
107 1.7 cgd
108 1.7 cgd void add_arc __P((char *, char *));
109 1.12 lukem void clear_cycle __P((void));
110 1.7 cgd int find_cycle __P((NODE *, NODE *, int, int));
111 1.7 cgd NODE *get_node __P((char *));
112 1.7 cgd void *grow_buf __P((void *, int));
113 1.12 lukem int main __P((int, char **));
114 1.7 cgd void remove_node __P((NODE *));
115 1.7 cgd void tsort __P((void));
116 1.7 cgd void usage __P((void));
117 1.1 cgd
118 1.7 cgd int
119 1.1 cgd main(argc, argv)
120 1.1 cgd int argc;
121 1.7 cgd char *argv[];
122 1.1 cgd {
123 1.12 lukem BUF *b;
124 1.12 lukem int c, n;
125 1.1 cgd FILE *fp;
126 1.7 cgd int bsize, ch, nused;
127 1.1 cgd BUF bufs[2];
128 1.1 cgd
129 1.12 lukem fp = NULL;
130 1.12 lukem while ((ch = getopt(argc, argv, "dlq")) != -1)
131 1.9 jtc switch (ch) {
132 1.7 cgd case 'd':
133 1.9 jtc debug = 1;
134 1.9 jtc break;
135 1.7 cgd case 'l':
136 1.9 jtc longest = 1;
137 1.9 jtc break;
138 1.11 mycroft case 'q':
139 1.11 mycroft quiet = 1;
140 1.11 mycroft break;
141 1.7 cgd case '?':
142 1.7 cgd default:
143 1.7 cgd usage();
144 1.7 cgd }
145 1.7 cgd argc -= optind;
146 1.7 cgd argv += optind;
147 1.7 cgd
148 1.9 jtc switch (argc) {
149 1.7 cgd case 0:
150 1.1 cgd fp = stdin;
151 1.7 cgd break;
152 1.7 cgd case 1:
153 1.7 cgd if ((fp = fopen(*argv, "r")) == NULL)
154 1.9 jtc err(1, "%s", *argv);
155 1.7 cgd break;
156 1.7 cgd default:
157 1.7 cgd usage();
158 1.1 cgd }
159 1.1 cgd
160 1.1 cgd for (b = bufs, n = 2; --n >= 0; b++)
161 1.7 cgd b->b_buf = grow_buf(NULL, b->b_bsize = 1024);
162 1.1 cgd
163 1.1 cgd /* parse input and build the graph */
164 1.1 cgd for (n = 0, c = getc(fp);;) {
165 1.1 cgd while (c != EOF && isspace(c))
166 1.1 cgd c = getc(fp);
167 1.1 cgd if (c == EOF)
168 1.1 cgd break;
169 1.1 cgd
170 1.1 cgd nused = 0;
171 1.1 cgd b = &bufs[n];
172 1.1 cgd bsize = b->b_bsize;
173 1.1 cgd do {
174 1.1 cgd b->b_buf[nused++] = c;
175 1.7 cgd if (nused == bsize)
176 1.7 cgd b->b_buf = grow_buf(b->b_buf, bsize *= 2);
177 1.1 cgd c = getc(fp);
178 1.1 cgd } while (c != EOF && !isspace(c));
179 1.1 cgd
180 1.1 cgd b->b_buf[nused] = '\0';
181 1.1 cgd b->b_bsize = bsize;
182 1.1 cgd if (n)
183 1.1 cgd add_arc(bufs[0].b_buf, bufs[1].b_buf);
184 1.1 cgd n = !n;
185 1.1 cgd }
186 1.1 cgd (void)fclose(fp);
187 1.7 cgd if (n)
188 1.8 cgd errx(1, "odd data count");
189 1.1 cgd
190 1.1 cgd /* do the sort */
191 1.1 cgd tsort();
192 1.1 cgd exit(0);
193 1.1 cgd }
194 1.1 cgd
195 1.1 cgd /* double the size of oldbuf and return a pointer to the new buffer. */
196 1.7 cgd void *
197 1.1 cgd grow_buf(bp, size)
198 1.7 cgd void *bp;
199 1.1 cgd int size;
200 1.1 cgd {
201 1.7 cgd if ((bp = realloc(bp, (u_int)size)) == NULL)
202 1.12 lukem err(1, "realloc");
203 1.7 cgd return (bp);
204 1.1 cgd }
205 1.1 cgd
206 1.1 cgd /*
207 1.1 cgd * add an arc from node s1 to node s2 in the graph. If s1 or s2 are not in
208 1.1 cgd * the graph, then add them.
209 1.1 cgd */
210 1.1 cgd void
211 1.1 cgd add_arc(s1, s2)
212 1.1 cgd char *s1, *s2;
213 1.1 cgd {
214 1.12 lukem NODE *n1;
215 1.1 cgd NODE *n2;
216 1.4 cgd int bsize, i;
217 1.1 cgd
218 1.7 cgd n1 = get_node(s1);
219 1.1 cgd
220 1.1 cgd if (!strcmp(s1, s2))
221 1.1 cgd return;
222 1.1 cgd
223 1.7 cgd n2 = get_node(s2);
224 1.1 cgd
225 1.1 cgd /*
226 1.3 cgd * Check if this arc is already here.
227 1.3 cgd */
228 1.3 cgd for (i = 0; i < n1->n_narcs; i++)
229 1.3 cgd if (n1->n_arcs[i] == n2)
230 1.3 cgd return;
231 1.3 cgd /*
232 1.3 cgd * Add it.
233 1.1 cgd */
234 1.1 cgd if (n1->n_narcs == n1->n_arcsize) {
235 1.1 cgd if (!n1->n_arcsize)
236 1.1 cgd n1->n_arcsize = 10;
237 1.1 cgd bsize = n1->n_arcsize * sizeof(*n1->n_arcs) * 2;
238 1.7 cgd n1->n_arcs = grow_buf(n1->n_arcs, bsize);
239 1.1 cgd n1->n_arcsize = bsize / sizeof(*n1->n_arcs);
240 1.1 cgd }
241 1.1 cgd n1->n_arcs[n1->n_narcs++] = n2;
242 1.1 cgd ++n2->n_refcnt;
243 1.1 cgd }
244 1.1 cgd
245 1.7 cgd /* Find a node in the graph (insert if not found) and return a pointer to it. */
246 1.1 cgd NODE *
247 1.7 cgd get_node(name)
248 1.1 cgd char *name;
249 1.1 cgd {
250 1.7 cgd DBT data, key;
251 1.7 cgd NODE *n;
252 1.1 cgd
253 1.7 cgd if (db == NULL &&
254 1.7 cgd (db = dbopen(NULL, O_RDWR, 0, DB_HASH, NULL)) == NULL)
255 1.9 jtc err(1, "db: %s", name);
256 1.7 cgd
257 1.7 cgd key.data = name;
258 1.7 cgd key.size = strlen(name) + 1;
259 1.7 cgd
260 1.9 jtc switch ((*db->get)(db, &key, &data, 0)) {
261 1.7 cgd case 0:
262 1.12 lukem memmove(&n, data.data, sizeof(n));
263 1.7 cgd return (n);
264 1.7 cgd case 1:
265 1.7 cgd break;
266 1.7 cgd default:
267 1.7 cgd case -1:
268 1.9 jtc err(1, "db: %s", name);
269 1.7 cgd }
270 1.1 cgd
271 1.7 cgd if ((n = malloc(sizeof(NODE) + key.size)) == NULL)
272 1.12 lukem err(1, "malloc");
273 1.1 cgd
274 1.1 cgd n->n_narcs = 0;
275 1.1 cgd n->n_arcsize = 0;
276 1.7 cgd n->n_arcs = NULL;
277 1.1 cgd n->n_refcnt = 0;
278 1.1 cgd n->n_flags = 0;
279 1.12 lukem memmove(n->n_name, name, key.size);
280 1.1 cgd
281 1.7 cgd /* Add to linked list. */
282 1.9 jtc if ((n->n_next = graph) != NULL)
283 1.1 cgd graph->n_prevp = &n->n_next;
284 1.1 cgd n->n_prevp = &graph;
285 1.1 cgd graph = n;
286 1.1 cgd
287 1.7 cgd /* Add to hash table. */
288 1.7 cgd data.data = &n;
289 1.7 cgd data.size = sizeof(n);
290 1.7 cgd if ((*db->put)(db, &key, &data, 0))
291 1.9 jtc err(1, "db: %s", name);
292 1.7 cgd return (n);
293 1.7 cgd }
294 1.7 cgd
295 1.7 cgd
296 1.7 cgd /*
297 1.7 cgd * Clear the NODEST flag from all nodes.
298 1.7 cgd */
299 1.7 cgd void
300 1.7 cgd clear_cycle()
301 1.7 cgd {
302 1.7 cgd NODE *n;
303 1.7 cgd
304 1.9 jtc for (n = graph; n != NULL; n = n->n_next)
305 1.7 cgd n->n_flags &= ~NF_NODEST;
306 1.1 cgd }
307 1.1 cgd
308 1.1 cgd /* do topological sort on graph */
309 1.1 cgd void
310 1.1 cgd tsort()
311 1.1 cgd {
312 1.12 lukem NODE *n, *next;
313 1.12 lukem int cnt, i;
314 1.1 cgd
315 1.9 jtc while (graph != NULL) {
316 1.1 cgd /*
317 1.7 cgd * Keep getting rid of simple cases until there are none left,
318 1.1 cgd * if there are any nodes still in the graph, then there is
319 1.1 cgd * a cycle in it.
320 1.1 cgd */
321 1.1 cgd do {
322 1.9 jtc for (cnt = 0, n = graph; n != NULL; n = next) {
323 1.1 cgd next = n->n_next;
324 1.1 cgd if (n->n_refcnt == 0) {
325 1.1 cgd remove_node(n);
326 1.1 cgd ++cnt;
327 1.1 cgd }
328 1.1 cgd }
329 1.9 jtc } while (graph != NULL && cnt);
330 1.1 cgd
331 1.9 jtc if (graph == NULL)
332 1.1 cgd break;
333 1.1 cgd
334 1.1 cgd if (!cycle_buf) {
335 1.1 cgd /*
336 1.7 cgd * Allocate space for two cycle logs - one to be used
337 1.1 cgd * as scratch space, the other to save the longest
338 1.1 cgd * cycle.
339 1.1 cgd */
340 1.9 jtc for (cnt = 0, n = graph; n != NULL; n = n->n_next)
341 1.1 cgd ++cnt;
342 1.7 cgd cycle_buf = malloc((u_int)sizeof(NODE *) * cnt);
343 1.7 cgd longest_cycle = malloc((u_int)sizeof(NODE *) * cnt);
344 1.7 cgd if (cycle_buf == NULL || longest_cycle == NULL)
345 1.12 lukem err(1, "malloc");
346 1.1 cgd }
347 1.13 ross for (n = graph; n != NULL; n = n->n_next) {
348 1.13 ross if (!(n->n_flags & NF_ACYCLIC)) {
349 1.12 lukem if ((cnt = find_cycle(n, n, 0, 0)) != 0) {
350 1.11 mycroft if (!quiet) {
351 1.11 mycroft warnx("cycle in data");
352 1.11 mycroft for (i = 0; i < cnt; i++)
353 1.11 mycroft warnx("%s",
354 1.11 mycroft longest_cycle[i]->n_name);
355 1.11 mycroft }
356 1.1 cgd remove_node(n);
357 1.7 cgd clear_cycle();
358 1.1 cgd break;
359 1.7 cgd } else {
360 1.1 cgd /* to avoid further checks */
361 1.7 cgd n->n_flags |= NF_ACYCLIC;
362 1.7 cgd clear_cycle();
363 1.7 cgd }
364 1.13 ross }
365 1.13 ross }
366 1.9 jtc if (n == NULL)
367 1.9 jtc errx(1, "internal error -- could not find cycle");
368 1.1 cgd }
369 1.1 cgd }
370 1.1 cgd
371 1.1 cgd /* print node and remove from graph (does not actually free node) */
372 1.1 cgd void
373 1.1 cgd remove_node(n)
374 1.12 lukem NODE *n;
375 1.1 cgd {
376 1.12 lukem NODE **np;
377 1.12 lukem int i;
378 1.1 cgd
379 1.1 cgd (void)printf("%s\n", n->n_name);
380 1.1 cgd for (np = n->n_arcs, i = n->n_narcs; --i >= 0; np++)
381 1.1 cgd --(*np)->n_refcnt;
382 1.1 cgd n->n_narcs = 0;
383 1.1 cgd *n->n_prevp = n->n_next;
384 1.1 cgd if (n->n_next)
385 1.1 cgd n->n_next->n_prevp = n->n_prevp;
386 1.1 cgd }
387 1.1 cgd
388 1.7 cgd
389 1.7 cgd /* look for the longest? cycle from node from to node to. */
390 1.7 cgd int
391 1.1 cgd find_cycle(from, to, longest_len, depth)
392 1.1 cgd NODE *from, *to;
393 1.1 cgd int depth, longest_len;
394 1.1 cgd {
395 1.12 lukem NODE **np;
396 1.12 lukem int i, len;
397 1.1 cgd
398 1.1 cgd /*
399 1.1 cgd * avoid infinite loops and ignore portions of the graph known
400 1.1 cgd * to be acyclic
401 1.1 cgd */
402 1.7 cgd if (from->n_flags & (NF_NODEST|NF_MARK|NF_ACYCLIC))
403 1.7 cgd return (0);
404 1.7 cgd from->n_flags |= NF_MARK;
405 1.1 cgd
406 1.1 cgd for (np = from->n_arcs, i = from->n_narcs; --i >= 0; np++) {
407 1.1 cgd cycle_buf[depth] = *np;
408 1.1 cgd if (*np == to) {
409 1.1 cgd if (depth + 1 > longest_len) {
410 1.1 cgd longest_len = depth + 1;
411 1.1 cgd (void)memcpy((char *)longest_cycle,
412 1.1 cgd (char *)cycle_buf,
413 1.1 cgd longest_len * sizeof(NODE *));
414 1.1 cgd }
415 1.1 cgd } else {
416 1.7 cgd if ((*np)->n_flags & (NF_MARK|NF_ACYCLIC|NF_NODEST))
417 1.7 cgd continue;
418 1.1 cgd len = find_cycle(*np, to, longest_len, depth + 1);
419 1.7 cgd
420 1.7 cgd if (debug)
421 1.9 jtc (void)printf("%*s %s->%s %d\n", depth, "",
422 1.9 jtc from->n_name, to->n_name, len);
423 1.7 cgd
424 1.7 cgd if (len == 0)
425 1.9 jtc (*np)->n_flags |= NF_NODEST;
426 1.7 cgd
427 1.7 cgd if (len > longest_len)
428 1.1 cgd longest_len = len;
429 1.7 cgd
430 1.7 cgd if (len > 0 && !longest)
431 1.5 cgd break;
432 1.1 cgd }
433 1.1 cgd }
434 1.7 cgd from->n_flags &= ~NF_MARK;
435 1.7 cgd return (longest_len);
436 1.1 cgd }
437 1.1 cgd
438 1.1 cgd void
439 1.7 cgd usage()
440 1.7 cgd {
441 1.11 mycroft (void)fprintf(stderr, "usage: tsort [-lq] [file]\n");
442 1.7 cgd exit(1);
443 1.1 cgd }
444