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tsort.c revision 1.14
      1 /*	$NetBSD: tsort.c,v 1.14 2001/02/21 00:11:36 cgd 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 1.14 2001/02/21 00:11:36 cgd 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 	setprogname(argv[0]);
    130 
    131 	fp = NULL;
    132 	while ((ch = getopt(argc, argv, "dlq")) != -1)
    133 		switch (ch) {
    134 		case 'd':
    135 			debug = 1;
    136 			break;
    137 		case 'l':
    138 			longest = 1;
    139 			break;
    140 		case 'q':
    141 			quiet = 1;
    142 			break;
    143 		case '?':
    144 		default:
    145 			usage();
    146 		}
    147 	argc -= optind;
    148 	argv += optind;
    149 
    150 	switch (argc) {
    151 	case 0:
    152 		fp = stdin;
    153 		break;
    154 	case 1:
    155 		if ((fp = fopen(*argv, "r")) == NULL)
    156 			err(1, "%s", *argv);
    157 		break;
    158 	default:
    159 		usage();
    160 	}
    161 
    162 	for (b = bufs, n = 2; --n >= 0; b++)
    163 		b->b_buf = grow_buf(NULL, b->b_bsize = 1024);
    164 
    165 	/* parse input and build the graph */
    166 	for (n = 0, c = getc(fp);;) {
    167 		while (c != EOF && isspace(c))
    168 			c = getc(fp);
    169 		if (c == EOF)
    170 			break;
    171 
    172 		nused = 0;
    173 		b = &bufs[n];
    174 		bsize = b->b_bsize;
    175 		do {
    176 			b->b_buf[nused++] = c;
    177 			if (nused == bsize)
    178 				b->b_buf = grow_buf(b->b_buf, bsize *= 2);
    179 			c = getc(fp);
    180 		} while (c != EOF && !isspace(c));
    181 
    182 		b->b_buf[nused] = '\0';
    183 		b->b_bsize = bsize;
    184 		if (n)
    185 			add_arc(bufs[0].b_buf, bufs[1].b_buf);
    186 		n = !n;
    187 	}
    188 	(void)fclose(fp);
    189 	if (n)
    190 		errx(1, "odd data count");
    191 
    192 	/* do the sort */
    193 	tsort();
    194 	exit(0);
    195 }
    196 
    197 /* double the size of oldbuf and return a pointer to the new buffer. */
    198 void *
    199 grow_buf(bp, size)
    200 	void *bp;
    201 	int size;
    202 {
    203 	if ((bp = realloc(bp, (u_int)size)) == NULL)
    204 		err(1, "realloc");
    205 	return (bp);
    206 }
    207 
    208 /*
    209  * add an arc from node s1 to node s2 in the graph.  If s1 or s2 are not in
    210  * the graph, then add them.
    211  */
    212 void
    213 add_arc(s1, s2)
    214 	char *s1, *s2;
    215 {
    216 	NODE *n1;
    217 	NODE *n2;
    218 	int bsize, i;
    219 
    220 	n1 = get_node(s1);
    221 
    222 	if (!strcmp(s1, s2))
    223 		return;
    224 
    225 	n2 = get_node(s2);
    226 
    227 	/*
    228 	 * Check if this arc is already here.
    229 	 */
    230 	for (i = 0; i < n1->n_narcs; i++)
    231 		if (n1->n_arcs[i] == n2)
    232 			return;
    233 	/*
    234 	 * Add it.
    235 	 */
    236 	if (n1->n_narcs == n1->n_arcsize) {
    237 		if (!n1->n_arcsize)
    238 			n1->n_arcsize = 10;
    239 		bsize = n1->n_arcsize * sizeof(*n1->n_arcs) * 2;
    240 		n1->n_arcs = grow_buf(n1->n_arcs, bsize);
    241 		n1->n_arcsize = bsize / sizeof(*n1->n_arcs);
    242 	}
    243 	n1->n_arcs[n1->n_narcs++] = n2;
    244 	++n2->n_refcnt;
    245 }
    246 
    247 /* Find a node in the graph (insert if not found) and return a pointer to it. */
    248 NODE *
    249 get_node(name)
    250 	char *name;
    251 {
    252 	DBT data, key;
    253 	NODE *n;
    254 
    255 	if (db == NULL &&
    256 	    (db = dbopen(NULL, O_RDWR, 0, DB_HASH, NULL)) == NULL)
    257 		err(1, "db: %s", name);
    258 
    259 	key.data = name;
    260 	key.size = strlen(name) + 1;
    261 
    262 	switch ((*db->get)(db, &key, &data, 0)) {
    263 	case 0:
    264 		memmove(&n, data.data, sizeof(n));
    265 		return (n);
    266 	case 1:
    267 		break;
    268 	default:
    269 	case -1:
    270 		err(1, "db: %s", name);
    271 	}
    272 
    273 	if ((n = malloc(sizeof(NODE) + key.size)) == NULL)
    274 		err(1, "malloc");
    275 
    276 	n->n_narcs = 0;
    277 	n->n_arcsize = 0;
    278 	n->n_arcs = NULL;
    279 	n->n_refcnt = 0;
    280 	n->n_flags = 0;
    281 	memmove(n->n_name, name, key.size);
    282 
    283 	/* Add to linked list. */
    284 	if ((n->n_next = graph) != NULL)
    285 		graph->n_prevp = &n->n_next;
    286 	n->n_prevp = &graph;
    287 	graph = n;
    288 
    289 	/* Add to hash table. */
    290 	data.data = &n;
    291 	data.size = sizeof(n);
    292 	if ((*db->put)(db, &key, &data, 0))
    293 		err(1, "db: %s", name);
    294 	return (n);
    295 }
    296 
    297 
    298 /*
    299  * Clear the NODEST flag from all nodes.
    300  */
    301 void
    302 clear_cycle()
    303 {
    304 	NODE *n;
    305 
    306 	for (n = graph; n != NULL; n = n->n_next)
    307 		n->n_flags &= ~NF_NODEST;
    308 }
    309 
    310 /* do topological sort on graph */
    311 void
    312 tsort()
    313 {
    314 	NODE *n, *next;
    315 	int cnt, i;
    316 
    317 	while (graph != NULL) {
    318 		/*
    319 		 * Keep getting rid of simple cases until there are none left,
    320 		 * if there are any nodes still in the graph, then there is
    321 		 * a cycle in it.
    322 		 */
    323 		do {
    324 			for (cnt = 0, n = graph; n != NULL; n = next) {
    325 				next = n->n_next;
    326 				if (n->n_refcnt == 0) {
    327 					remove_node(n);
    328 					++cnt;
    329 				}
    330 			}
    331 		} while (graph != NULL && cnt);
    332 
    333 		if (graph == NULL)
    334 			break;
    335 
    336 		if (!cycle_buf) {
    337 			/*
    338 			 * Allocate space for two cycle logs - one to be used
    339 			 * as scratch space, the other to save the longest
    340 			 * cycle.
    341 			 */
    342 			for (cnt = 0, n = graph; n != NULL; n = n->n_next)
    343 				++cnt;
    344 			cycle_buf = malloc((u_int)sizeof(NODE *) * cnt);
    345 			longest_cycle = malloc((u_int)sizeof(NODE *) * cnt);
    346 			if (cycle_buf == NULL || longest_cycle == NULL)
    347 				err(1, "malloc");
    348 		}
    349 		for (n = graph; n != NULL; n = n->n_next) {
    350 			if (!(n->n_flags & NF_ACYCLIC)) {
    351 				if ((cnt = find_cycle(n, n, 0, 0)) != 0) {
    352 					if (!quiet) {
    353 						warnx("cycle in data");
    354 						for (i = 0; i < cnt; i++)
    355 							warnx("%s",
    356 							    longest_cycle[i]->n_name);
    357 					}
    358 					remove_node(n);
    359 					clear_cycle();
    360 					break;
    361 				} else {
    362 					/* to avoid further checks */
    363 					n->n_flags  |= NF_ACYCLIC;
    364 					clear_cycle();
    365 				}
    366 			}
    367 		}
    368 		if (n == NULL)
    369 			errx(1, "internal error -- could not find cycle");
    370 	}
    371 }
    372 
    373 /* print node and remove from graph (does not actually free node) */
    374 void
    375 remove_node(n)
    376 	NODE *n;
    377 {
    378 	NODE **np;
    379 	int i;
    380 
    381 	(void)printf("%s\n", n->n_name);
    382 	for (np = n->n_arcs, i = n->n_narcs; --i >= 0; np++)
    383 		--(*np)->n_refcnt;
    384 	n->n_narcs = 0;
    385 	*n->n_prevp = n->n_next;
    386 	if (n->n_next)
    387 		n->n_next->n_prevp = n->n_prevp;
    388 }
    389 
    390 
    391 /* look for the longest? cycle from node from to node to. */
    392 int
    393 find_cycle(from, to, longest_len, depth)
    394 	NODE *from, *to;
    395 	int depth, longest_len;
    396 {
    397 	NODE **np;
    398 	int i, len;
    399 
    400 	/*
    401 	 * avoid infinite loops and ignore portions of the graph known
    402 	 * to be acyclic
    403 	 */
    404 	if (from->n_flags & (NF_NODEST|NF_MARK|NF_ACYCLIC))
    405 		return (0);
    406 	from->n_flags |= NF_MARK;
    407 
    408 	for (np = from->n_arcs, i = from->n_narcs; --i >= 0; np++) {
    409 		cycle_buf[depth] = *np;
    410 		if (*np == to) {
    411 			if (depth + 1 > longest_len) {
    412 				longest_len = depth + 1;
    413 				(void)memcpy((char *)longest_cycle,
    414 				    (char *)cycle_buf,
    415 				    longest_len * sizeof(NODE *));
    416 			}
    417 		} else {
    418 			if ((*np)->n_flags & (NF_MARK|NF_ACYCLIC|NF_NODEST))
    419 				continue;
    420 			len = find_cycle(*np, to, longest_len, depth + 1);
    421 
    422 			if (debug)
    423 				(void)printf("%*s %s->%s %d\n", depth, "",
    424 				    from->n_name, to->n_name, len);
    425 
    426 			if (len == 0)
    427 				(*np)->n_flags |= NF_NODEST;
    428 
    429 			if (len > longest_len)
    430 				longest_len = len;
    431 
    432 			if (len > 0 && !longest)
    433 				break;
    434 		}
    435 	}
    436 	from->n_flags &= ~NF_MARK;
    437 	return (longest_len);
    438 }
    439 
    440 void
    441 usage()
    442 {
    443 	(void)fprintf(stderr, "usage: tsort [-lq] [file]\n");
    444 	exit(1);
    445 }
    446