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tsort.c revision 1.21
      1 /*	$NetBSD: tsort.c,v 1.21 2005/07/19 23:18:31 christos 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. Neither the name of the University nor the names of its contributors
     19  *    may be used to endorse or promote products derived from this software
     20  *    without specific prior written permission.
     21  *
     22  * THIS SOFTWARE IS PROVIDED BY THE REGENTS AND CONTRIBUTORS ``AS IS'' AND
     23  * ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE
     24  * IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR PURPOSE
     25  * ARE DISCLAIMED.  IN NO EVENT SHALL THE REGENTS OR CONTRIBUTORS BE LIABLE
     26  * FOR ANY DIRECT, INDIRECT, INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL
     27  * DAMAGES (INCLUDING, BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS
     28  * OR SERVICES; LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION)
     29  * HOWEVER CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT
     30  * LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY
     31  * OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF
     32  * SUCH DAMAGE.
     33  */
     34 
     35 #if HAVE_NBTOOL_CONFIG_H
     36 #include "nbtool_config.h"
     37 #endif
     38 
     39 #include <sys/cdefs.h>
     40 #if !defined(lint)
     41 __COPYRIGHT("@(#) Copyright (c) 1989, 1993, 1994\n\
     42 	The Regents of the University of California.  All rights reserved.\n");
     43 #if 0
     44 static char sccsid[] = "@(#)tsort.c	8.3 (Berkeley) 5/4/95";
     45 #endif
     46 __RCSID("$NetBSD: tsort.c,v 1.21 2005/07/19 23:18:31 christos Exp $");
     47 #endif /* not lint */
     48 
     49 #include <sys/types.h>
     50 #include <ctype.h>
     51 #include <db.h>
     52 #include <err.h>
     53 #include <errno.h>
     54 #include <fcntl.h>
     55 #include <stdio.h>
     56 #include <stdlib.h>
     57 #include <string.h>
     58 #include <unistd.h>
     59 
     60 /*
     61  *  Topological sort.  Input is a list of pairs of strings separated by
     62  *  white space (spaces, tabs, and/or newlines); strings are written to
     63  *  standard output in sorted order, one per line.
     64  *
     65  *  usage:
     66  *     tsort [-l] [inputfile]
     67  *  If no input file is specified, standard input is read.
     68  *
     69  *  Should be compatible with AT&T tsort HOWEVER the output is not identical
     70  *  (i.e. for most graphs there is more than one sorted order, and this tsort
     71  *  usually generates a different one then the AT&T tsort).  Also, cycle
     72  *  reporting seems to be more accurate in this version (the AT&T tsort
     73  *  sometimes says a node is in a cycle when it isn't).
     74  *
     75  *  Michael Rendell, michael (at) stretch.cs.mun.ca - Feb 26, '90
     76  */
     77 #define	HASHSIZE	53		/* doesn't need to be big */
     78 #define	NF_MARK		0x1		/* marker for cycle detection */
     79 #define	NF_ACYCLIC	0x2		/* this node is cycle free */
     80 #define	NF_NODEST	0x4		/* Unreachable */
     81 
     82 typedef struct node_str NODE;
     83 
     84 struct node_str {
     85 	NODE **n_prevp;			/* pointer to previous node's n_next */
     86 	NODE *n_next;			/* next node in graph */
     87 	NODE **n_arcs;			/* array of arcs to other nodes */
     88 	int n_narcs;			/* number of arcs in n_arcs[] */
     89 	int n_arcsize;			/* size of n_arcs[] array */
     90 	int n_refcnt;			/* # of arcs pointing to this node */
     91 	int n_flags;			/* NF_* */
     92 	char n_name[1];			/* name of this node */
     93 };
     94 
     95 typedef struct _buf {
     96 	char *b_buf;
     97 	int b_bsize;
     98 } BUF;
     99 
    100 DB *db;
    101 NODE *graph, **cycle_buf, **longest_cycle;
    102 int debug, longest, quiet;
    103 
    104 void	 add_arc __P((char *, char *));
    105 void	 clear_cycle __P((void));
    106 int	 find_cycle __P((NODE *, NODE *, int, int));
    107 NODE	*get_node __P((char *));
    108 void	*grow_buf __P((void *, int));
    109 int	 main __P((int, char **));
    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 	BUF *b;
    120 	int c, n;
    121 	FILE *fp;
    122 	int bsize, ch, nused;
    123 	BUF bufs[2];
    124 
    125 	setprogname(argv[0]);
    126 
    127 	fp = NULL;
    128 	while ((ch = getopt(argc, argv, "dlq")) != -1)
    129 		switch (ch) {
    130 		case 'd':
    131 			debug = 1;
    132 			break;
    133 		case 'l':
    134 			longest = 1;
    135 			break;
    136 		case 'q':
    137 			quiet = 1;
    138 			break;
    139 		case '?':
    140 		default:
    141 			usage();
    142 		}
    143 	argc -= optind;
    144 	argv += optind;
    145 
    146 	switch (argc) {
    147 	case 0:
    148 		fp = stdin;
    149 		break;
    150 	case 1:
    151 		if ((fp = fopen(*argv, "r")) == NULL)
    152 			err(1, "%s", *argv);
    153 		break;
    154 	default:
    155 		usage();
    156 	}
    157 
    158 	for (b = bufs, n = 2; --n >= 0; b++)
    159 		b->b_buf = grow_buf(NULL, b->b_bsize = 1024);
    160 
    161 	/* parse input and build the graph */
    162 	for (n = 0, c = getc(fp);;) {
    163 		while (c != EOF && isspace(c))
    164 			c = getc(fp);
    165 		if (c == EOF)
    166 			break;
    167 
    168 		nused = 0;
    169 		b = &bufs[n];
    170 		bsize = b->b_bsize;
    171 		do {
    172 			b->b_buf[nused++] = c;
    173 			if (nused == bsize)
    174 				b->b_buf = grow_buf(b->b_buf, bsize *= 2);
    175 			c = getc(fp);
    176 		} while (c != EOF && !isspace(c));
    177 
    178 		b->b_buf[nused] = '\0';
    179 		b->b_bsize = bsize;
    180 		if (n)
    181 			add_arc(bufs[0].b_buf, bufs[1].b_buf);
    182 		n = !n;
    183 	}
    184 	(void)fclose(fp);
    185 	if (n)
    186 		errx(1, "odd data count");
    187 
    188 	/* do the sort */
    189 	tsort();
    190 	return(0);
    191 }
    192 
    193 /* double the size of oldbuf and return a pointer to the new buffer. */
    194 void *
    195 grow_buf(bp, size)
    196 	void *bp;
    197 	int size;
    198 {
    199 	void *n;
    200 
    201 	if ((n = realloc(bp, (u_int)size)) == NULL)
    202 		err(1, "realloc");
    203 	bp = n;
    204 	return (bp);
    205 }
    206 
    207 /*
    208  * add an arc from node s1 to node s2 in the graph.  If s1 or s2 are not in
    209  * the graph, then add them.
    210  */
    211 void
    212 add_arc(s1, s2)
    213 	char *s1, *s2;
    214 {
    215 	NODE *n1;
    216 	NODE *n2;
    217 	int bsize, i;
    218 
    219 	n1 = get_node(s1);
    220 
    221 	if (!strcmp(s1, s2))
    222 		return;
    223 
    224 	n2 = get_node(s2);
    225 
    226 	/*
    227 	 * Check if this arc is already here.
    228 	 */
    229 	for (i = 0; i < n1->n_narcs; i++)
    230 		if (n1->n_arcs[i] == n2)
    231 			return;
    232 	/*
    233 	 * Add it.
    234 	 */
    235 	if (n1->n_narcs == n1->n_arcsize) {
    236 		if (!n1->n_arcsize)
    237 			n1->n_arcsize = 10;
    238 		bsize = n1->n_arcsize * sizeof(*n1->n_arcs) * 2;
    239 		n1->n_arcs = grow_buf(n1->n_arcs, bsize);
    240 		n1->n_arcsize = bsize / sizeof(*n1->n_arcs);
    241 	}
    242 	n1->n_arcs[n1->n_narcs++] = n2;
    243 	++n2->n_refcnt;
    244 }
    245 
    246 /* Find a node in the graph (insert if not found) and return a pointer to it. */
    247 NODE *
    248 get_node(name)
    249 	char *name;
    250 {
    251 	DBT data, key;
    252 	NODE *n;
    253 
    254 	if (db == NULL &&
    255 	    (db = dbopen(NULL, O_RDWR, 0, DB_HASH, NULL)) == NULL)
    256 		err(1, "db: %s", name);
    257 
    258 	key.data = name;
    259 	key.size = strlen(name) + 1;
    260 
    261 	switch ((*db->get)(db, &key, &data, 0)) {
    262 	case 0:
    263 		(void)memmove(&n, data.data, sizeof(n));
    264 		return (n);
    265 	case 1:
    266 		break;
    267 	default:
    268 	case -1:
    269 		err(1, "db: %s", name);
    270 	}
    271 
    272 	if ((n = malloc(sizeof(NODE) + key.size)) == NULL)
    273 		err(1, "malloc");
    274 
    275 	n->n_narcs = 0;
    276 	n->n_arcsize = 0;
    277 	n->n_arcs = NULL;
    278 	n->n_refcnt = 0;
    279 	n->n_flags = 0;
    280 	(void)memmove(n->n_name, name, key.size);
    281 
    282 	/* Add to linked list. */
    283 	if ((n->n_next = graph) != NULL)
    284 		graph->n_prevp = &n->n_next;
    285 	n->n_prevp = &graph;
    286 	graph = n;
    287 
    288 	/* Add to hash table. */
    289 	data.data = &n;
    290 	data.size = sizeof(n);
    291 	if ((*db->put)(db, &key, &data, 0))
    292 		err(1, "db: %s", name);
    293 	return (n);
    294 }
    295 
    296 
    297 /*
    298  * Clear the NODEST flag from all nodes.
    299  */
    300 void
    301 clear_cycle()
    302 {
    303 	NODE *n;
    304 
    305 	for (n = graph; n != NULL; n = n->n_next)
    306 		n->n_flags &= ~NF_NODEST;
    307 }
    308 
    309 /* do topological sort on graph */
    310 void
    311 tsort()
    312 {
    313 	NODE *n, *next;
    314 	int cnt, i;
    315 
    316 	while (graph != NULL) {
    317 		/*
    318 		 * Keep getting rid of simple cases until there are none left,
    319 		 * if there are any nodes still in the graph, then there is
    320 		 * a cycle in it.
    321 		 */
    322 		do {
    323 			for (cnt = 0, n = graph; n != NULL; n = next) {
    324 				next = n->n_next;
    325 				if (n->n_refcnt == 0) {
    326 					remove_node(n);
    327 					++cnt;
    328 				}
    329 			}
    330 		} while (graph != NULL && cnt);
    331 
    332 		if (graph == NULL)
    333 			break;
    334 
    335 		if (!cycle_buf) {
    336 			/*
    337 			 * Allocate space for two cycle logs - one to be used
    338 			 * as scratch space, the other to save the longest
    339 			 * cycle.
    340 			 */
    341 			for (cnt = 0, n = graph; n != NULL; n = n->n_next)
    342 				++cnt;
    343 			cycle_buf = malloc((u_int)sizeof(NODE *) * cnt);
    344 			longest_cycle = malloc((u_int)sizeof(NODE *) * cnt);
    345 			if (cycle_buf == NULL || longest_cycle == NULL)
    346 				err(1, "malloc");
    347 		}
    348 		for (n = graph; n != NULL; n = n->n_next) {
    349 			if (!(n->n_flags & NF_ACYCLIC)) {
    350 				if ((cnt = find_cycle(n, n, 0, 0)) != 0) {
    351 					if (!quiet) {
    352 						warnx("cycle in data");
    353 						for (i = 0; i < cnt; i++)
    354 							warnx("%s",
    355 							    longest_cycle[i]->n_name);
    356 					}
    357 					remove_node(n);
    358 					clear_cycle();
    359 					break;
    360 				} else {
    361 					/* to avoid further checks */
    362 					n->n_flags  |= NF_ACYCLIC;
    363 					clear_cycle();
    364 				}
    365 			}
    366 		}
    367 		if (n == NULL)
    368 			errx(1, "internal error -- could not find cycle");
    369 	}
    370 }
    371 
    372 /* print node and remove from graph (does not actually free node) */
    373 void
    374 remove_node(n)
    375 	NODE *n;
    376 {
    377 	NODE **np;
    378 	int i;
    379 
    380 	(void)printf("%s\n", n->n_name);
    381 	for (np = n->n_arcs, i = n->n_narcs; --i >= 0; np++)
    382 		--(*np)->n_refcnt;
    383 	n->n_narcs = 0;
    384 	*n->n_prevp = n->n_next;
    385 	if (n->n_next)
    386 		n->n_next->n_prevp = n->n_prevp;
    387 }
    388 
    389 
    390 /* look for the longest? cycle from node from to node to. */
    391 int
    392 find_cycle(from, to, longest_len, depth)
    393 	NODE *from, *to;
    394 	int depth, longest_len;
    395 {
    396 	NODE **np;
    397 	int i, len;
    398 
    399 	/*
    400 	 * avoid infinite loops and ignore portions of the graph known
    401 	 * to be acyclic
    402 	 */
    403 	if (from->n_flags & (NF_NODEST|NF_MARK|NF_ACYCLIC))
    404 		return (0);
    405 	from->n_flags |= NF_MARK;
    406 
    407 	for (np = from->n_arcs, i = from->n_narcs; --i >= 0; np++) {
    408 		cycle_buf[depth] = *np;
    409 		if (*np == to) {
    410 			if (depth + 1 > longest_len) {
    411 				longest_len = depth + 1;
    412 				(void)memcpy(longest_cycle, 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