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