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