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tsort.c revision 1.9
      1 /*	$NetBSD: tsort.c,v 1.9 1994/12/07 01:06:25 jtc 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 #ifndef lint
     40 static char copyright[] =
     41 "@(#) 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	8.2 (Berkeley) 3/30/94";
     48 #endif
     49 static char rcsid[] = "$NetBSD: tsort.c,v 1.9 1994/12/07 01:06:25 jtc 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 
     63 /*
     64  *  Topological sort.  Input is a list of pairs of strings separated by
     65  *  white space (spaces, tabs, and/or newlines); strings are written to
     66  *  standard output in sorted order, one per line.
     67  *
     68  *  usage:
     69  *     tsort [-l] [inputfile]
     70  *  If no input file is specified, standard input is read.
     71  *
     72  *  Should be compatable with AT&T tsort HOWEVER the output is not identical
     73  *  (i.e. for most graphs there is more than one sorted order, and this tsort
     74  *  usually generates a different one then the AT&T tsort).  Also, cycle
     75  *  reporting seems to be more accurate in this version (the AT&T tsort
     76  *  sometimes says a node is in a cycle when it isn't).
     77  *
     78  *  Michael Rendell, michael (at) stretch.cs.mun.ca - Feb 26, '90
     79  */
     80 #define	HASHSIZE	53		/* doesn't need to be big */
     81 #define	NF_MARK		0x1		/* marker for cycle detection */
     82 #define	NF_ACYCLIC	0x2		/* this node is cycle free */
     83 #define	NF_NODEST	0x4		/* Unreachable */
     84 
     85 typedef struct node_str NODE;
     86 
     87 struct node_str {
     88 	NODE **n_prevp;			/* pointer to previous node's n_next */
     89 	NODE *n_next;			/* next node in graph */
     90 	NODE **n_arcs;			/* array of arcs to other nodes */
     91 	int n_narcs;			/* number of arcs in n_arcs[] */
     92 	int n_arcsize;			/* size of n_arcs[] array */
     93 	int n_refcnt;			/* # of arcs pointing to this node */
     94 	int n_flags;			/* NF_* */
     95 	char n_name[1];			/* name of this node */
     96 };
     97 
     98 typedef struct _buf {
     99 	char *b_buf;
    100 	int b_bsize;
    101 } BUF;
    102 
    103 DB *db;
    104 NODE *graph, **cycle_buf, **longest_cycle;
    105 int debug, longest;
    106 
    107 void	 add_arc __P((char *, char *));
    108 int	 find_cycle __P((NODE *, NODE *, int, int));
    109 NODE	*get_node __P((char *));
    110 void	*grow_buf __P((void *, int));
    111 void	 remove_node __P((NODE *));
    112 void	 tsort __P((void));
    113 void	 usage __P((void));
    114 
    115 int
    116 main(argc, argv)
    117 	int argc;
    118 	char *argv[];
    119 {
    120 	register BUF *b;
    121 	register int c, n;
    122 	FILE *fp;
    123 	int bsize, ch, nused;
    124 	BUF bufs[2];
    125 
    126 	while ((ch = getopt(argc, argv, "dl")) != EOF)
    127 		switch (ch) {
    128 		case 'd':
    129 			debug = 1;
    130 			break;
    131 		case 'l':
    132 			longest = 1;
    133 			break;
    134 		case '?':
    135 		default:
    136 			usage();
    137 		}
    138 	argc -= optind;
    139 	argv += optind;
    140 
    141 	switch (argc) {
    142 	case 0:
    143 		fp = stdin;
    144 		break;
    145 	case 1:
    146 		if ((fp = fopen(*argv, "r")) == NULL)
    147 			err(1, "%s", *argv);
    148 		break;
    149 	default:
    150 		usage();
    151 	}
    152 
    153 	for (b = bufs, n = 2; --n >= 0; b++)
    154 		b->b_buf = grow_buf(NULL, b->b_bsize = 1024);
    155 
    156 	/* parse input and build the graph */
    157 	for (n = 0, c = getc(fp);;) {
    158 		while (c != EOF && isspace(c))
    159 			c = getc(fp);
    160 		if (c == EOF)
    161 			break;
    162 
    163 		nused = 0;
    164 		b = &bufs[n];
    165 		bsize = b->b_bsize;
    166 		do {
    167 			b->b_buf[nused++] = c;
    168 			if (nused == bsize)
    169 				b->b_buf = grow_buf(b->b_buf, bsize *= 2);
    170 			c = getc(fp);
    171 		} while (c != EOF && !isspace(c));
    172 
    173 		b->b_buf[nused] = '\0';
    174 		b->b_bsize = bsize;
    175 		if (n)
    176 			add_arc(bufs[0].b_buf, bufs[1].b_buf);
    177 		n = !n;
    178 	}
    179 	(void)fclose(fp);
    180 	if (n)
    181 		errx(1, "odd data count");
    182 
    183 	/* do the sort */
    184 	tsort();
    185 	exit(0);
    186 }
    187 
    188 /* double the size of oldbuf and return a pointer to the new buffer. */
    189 void *
    190 grow_buf(bp, size)
    191 	void *bp;
    192 	int size;
    193 {
    194 	if ((bp = realloc(bp, (u_int)size)) == NULL)
    195 		err(1, NULL);
    196 	return (bp);
    197 }
    198 
    199 /*
    200  * add an arc from node s1 to node s2 in the graph.  If s1 or s2 are not in
    201  * the graph, then add them.
    202  */
    203 void
    204 add_arc(s1, s2)
    205 	char *s1, *s2;
    206 {
    207 	register NODE *n1;
    208 	NODE *n2;
    209 	int bsize, i;
    210 
    211 	n1 = get_node(s1);
    212 
    213 	if (!strcmp(s1, s2))
    214 		return;
    215 
    216 	n2 = get_node(s2);
    217 
    218 	/*
    219 	 * Check if this arc is already here.
    220 	 */
    221 	for (i = 0; i < n1->n_narcs; i++)
    222 		if (n1->n_arcs[i] == n2)
    223 			return;
    224 	/*
    225 	 * Add it.
    226 	 */
    227 	if (n1->n_narcs == n1->n_arcsize) {
    228 		if (!n1->n_arcsize)
    229 			n1->n_arcsize = 10;
    230 		bsize = n1->n_arcsize * sizeof(*n1->n_arcs) * 2;
    231 		n1->n_arcs = grow_buf(n1->n_arcs, bsize);
    232 		n1->n_arcsize = bsize / sizeof(*n1->n_arcs);
    233 	}
    234 	n1->n_arcs[n1->n_narcs++] = n2;
    235 	++n2->n_refcnt;
    236 }
    237 
    238 /* Find a node in the graph (insert if not found) and return a pointer to it. */
    239 NODE *
    240 get_node(name)
    241 	char *name;
    242 {
    243 	DBT data, key;
    244 	NODE *n;
    245 
    246 	if (db == NULL &&
    247 	    (db = dbopen(NULL, O_RDWR, 0, DB_HASH, NULL)) == NULL)
    248 		err(1, "db: %s", name);
    249 
    250 	key.data = name;
    251 	key.size = strlen(name) + 1;
    252 
    253 	switch ((*db->get)(db, &key, &data, 0)) {
    254 	case 0:
    255 		bcopy(data.data, &n, sizeof(n));
    256 		return (n);
    257 	case 1:
    258 		break;
    259 	default:
    260 	case -1:
    261 		err(1, "db: %s", name);
    262 	}
    263 
    264 	if ((n = malloc(sizeof(NODE) + key.size)) == NULL)
    265 		err(1, NULL);
    266 
    267 	n->n_narcs = 0;
    268 	n->n_arcsize = 0;
    269 	n->n_arcs = NULL;
    270 	n->n_refcnt = 0;
    271 	n->n_flags = 0;
    272 	bcopy(name, n->n_name, key.size);
    273 
    274 	/* Add to linked list. */
    275 	if ((n->n_next = graph) != NULL)
    276 		graph->n_prevp = &n->n_next;
    277 	n->n_prevp = &graph;
    278 	graph = n;
    279 
    280 	/* Add to hash table. */
    281 	data.data = &n;
    282 	data.size = sizeof(n);
    283 	if ((*db->put)(db, &key, &data, 0))
    284 		err(1, "db: %s", name);
    285 	return (n);
    286 }
    287 
    288 
    289 /*
    290  * Clear the NODEST flag from all nodes.
    291  */
    292 void
    293 clear_cycle()
    294 {
    295 	NODE *n;
    296 
    297 	for (n = graph; n != NULL; n = n->n_next)
    298 		n->n_flags &= ~NF_NODEST;
    299 }
    300 
    301 /* do topological sort on graph */
    302 void
    303 tsort()
    304 {
    305 	register NODE *n, *next;
    306 	register int cnt, i;
    307 
    308 	while (graph != NULL) {
    309 		/*
    310 		 * Keep getting rid of simple cases until there are none left,
    311 		 * if there are any nodes still in the graph, then there is
    312 		 * a cycle in it.
    313 		 */
    314 		do {
    315 			for (cnt = 0, n = graph; n != NULL; n = next) {
    316 				next = n->n_next;
    317 				if (n->n_refcnt == 0) {
    318 					remove_node(n);
    319 					++cnt;
    320 				}
    321 			}
    322 		} while (graph != NULL && cnt);
    323 
    324 		if (graph == NULL)
    325 			break;
    326 
    327 		if (!cycle_buf) {
    328 			/*
    329 			 * Allocate space for two cycle logs - one to be used
    330 			 * as scratch space, the other to save the longest
    331 			 * cycle.
    332 			 */
    333 			for (cnt = 0, n = graph; n != NULL; n = n->n_next)
    334 				++cnt;
    335 			cycle_buf = malloc((u_int)sizeof(NODE *) * cnt);
    336 			longest_cycle = malloc((u_int)sizeof(NODE *) * cnt);
    337 			if (cycle_buf == NULL || longest_cycle == NULL)
    338 				err(1, NULL);
    339 		}
    340 		for (n = graph; n != NULL; n = n->n_next)
    341 			if (!(n->n_flags & NF_ACYCLIC))
    342 				if (cnt = find_cycle(n, n, 0, 0)) {
    343 					warnx("cycle in data");
    344 					for (i = 0; i < cnt; i++)
    345 						warnx("%s",
    346 						    longest_cycle[i]->n_name);
    347 					remove_node(n);
    348 					clear_cycle();
    349 					break;
    350 				} else {
    351 					/* to avoid further checks */
    352 					n->n_flags  |= NF_ACYCLIC;
    353 					clear_cycle();
    354 				}
    355 
    356 		if (n == NULL)
    357 			errx(1, "internal error -- could not find cycle");
    358 	}
    359 }
    360 
    361 /* print node and remove from graph (does not actually free node) */
    362 void
    363 remove_node(n)
    364 	register NODE *n;
    365 {
    366 	register NODE **np;
    367 	register int i;
    368 
    369 	(void)printf("%s\n", n->n_name);
    370 	for (np = n->n_arcs, i = n->n_narcs; --i >= 0; np++)
    371 		--(*np)->n_refcnt;
    372 	n->n_narcs = 0;
    373 	*n->n_prevp = n->n_next;
    374 	if (n->n_next)
    375 		n->n_next->n_prevp = n->n_prevp;
    376 }
    377 
    378 
    379 /* look for the longest? cycle from node from to node to. */
    380 int
    381 find_cycle(from, to, longest_len, depth)
    382 	NODE *from, *to;
    383 	int depth, longest_len;
    384 {
    385 	register NODE **np;
    386 	register int i, len;
    387 
    388 	/*
    389 	 * avoid infinite loops and ignore portions of the graph known
    390 	 * to be acyclic
    391 	 */
    392 	if (from->n_flags & (NF_NODEST|NF_MARK|NF_ACYCLIC))
    393 		return (0);
    394 	from->n_flags |= NF_MARK;
    395 
    396 	for (np = from->n_arcs, i = from->n_narcs; --i >= 0; np++) {
    397 		cycle_buf[depth] = *np;
    398 		if (*np == to) {
    399 			if (depth + 1 > longest_len) {
    400 				longest_len = depth + 1;
    401 				(void)memcpy((char *)longest_cycle,
    402 				    (char *)cycle_buf,
    403 				    longest_len * sizeof(NODE *));
    404 			}
    405 		} else {
    406 			if ((*np)->n_flags & (NF_MARK|NF_ACYCLIC|NF_NODEST))
    407 				continue;
    408 			len = find_cycle(*np, to, longest_len, depth + 1);
    409 
    410 			if (debug)
    411 				(void)printf("%*s %s->%s %d\n", depth, "",
    412 				    from->n_name, to->n_name, len);
    413 
    414 			if (len == 0)
    415 				(*np)->n_flags |= NF_NODEST;
    416 
    417 			if (len > longest_len)
    418 				longest_len = len;
    419 
    420 			if (len > 0 && !longest)
    421 				break;
    422 		}
    423 	}
    424 	from->n_flags &= ~NF_MARK;
    425 	return (longest_len);
    426 }
    427 
    428 void
    429 usage()
    430 {
    431 	(void)fprintf(stderr, "usage: tsort [-l] [file]\n");
    432 	exit(1);
    433 }
    434