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tsort.c revision 1.19
      1 /*	$NetBSD: tsort.c,v 1.19 2003/10/16 06:37:22 itojun 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 #include <sys/cdefs.h>
     36 #if defined(__COPYRIGHT) && !defined(lint)
     37 __COPYRIGHT("@(#) Copyright (c) 1989, 1993, 1994\n\
     38 	The Regents of the University of California.  All rights reserved.\n");
     39 #endif /* not lint */
     40 
     41 #if defined(__RCSID) && !defined(lint)
     42 #if 0
     43 static char sccsid[] = "@(#)tsort.c	8.3 (Berkeley) 5/4/95";
     44 #endif
     45 __RCSID("$NetBSD: tsort.c,v 1.19 2003/10/16 06:37:22 itojun Exp $");
     46 #endif /* not lint */
     47 
     48 #if HAVE_CONFIG_H
     49 #include "config.h"
     50 #endif
     51 
     52 #include <sys/types.h>
     53 #include <ctype.h>
     54 #include <db.h>
     55 #include <err.h>
     56 #include <errno.h>
     57 #include <fcntl.h>
     58 #include <stdio.h>
     59 #include <stdlib.h>
     60 #include <string.h>
     61 #include <unistd.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 compatible 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, quiet;
    106 
    107 void	 add_arc __P((char *, char *));
    108 void	 clear_cycle __P((void));
    109 int	 find_cycle __P((NODE *, NODE *, int, int));
    110 NODE	*get_node __P((char *));
    111 void	*grow_buf __P((void *, int));
    112 int	 main __P((int, char **));
    113 void	 remove_node __P((NODE *));
    114 void	 tsort __P((void));
    115 void	 usage __P((void));
    116 
    117 int
    118 main(argc, argv)
    119 	int argc;
    120 	char *argv[];
    121 {
    122 	BUF *b;
    123 	int c, n;
    124 	FILE *fp;
    125 	int bsize, ch, nused;
    126 	BUF bufs[2];
    127 
    128 	setprogname(argv[0]);
    129 
    130 	fp = NULL;
    131 	while ((ch = getopt(argc, argv, "dlq")) != -1)
    132 		switch (ch) {
    133 		case 'd':
    134 			debug = 1;
    135 			break;
    136 		case 'l':
    137 			longest = 1;
    138 			break;
    139 		case 'q':
    140 			quiet = 1;
    141 			break;
    142 		case '?':
    143 		default:
    144 			usage();
    145 		}
    146 	argc -= optind;
    147 	argv += optind;
    148 
    149 	switch (argc) {
    150 	case 0:
    151 		fp = stdin;
    152 		break;
    153 	case 1:
    154 		if ((fp = fopen(*argv, "r")) == NULL)
    155 			err(1, "%s", *argv);
    156 		break;
    157 	default:
    158 		usage();
    159 	}
    160 
    161 	for (b = bufs, n = 2; --n >= 0; b++)
    162 		b->b_buf = grow_buf(NULL, b->b_bsize = 1024);
    163 
    164 	/* parse input and build the graph */
    165 	for (n = 0, c = getc(fp);;) {
    166 		while (c != EOF && isspace(c))
    167 			c = getc(fp);
    168 		if (c == EOF)
    169 			break;
    170 
    171 		nused = 0;
    172 		b = &bufs[n];
    173 		bsize = b->b_bsize;
    174 		do {
    175 			b->b_buf[nused++] = c;
    176 			if (nused == bsize)
    177 				b->b_buf = grow_buf(b->b_buf, bsize *= 2);
    178 			c = getc(fp);
    179 		} while (c != EOF && !isspace(c));
    180 
    181 		b->b_buf[nused] = '\0';
    182 		b->b_bsize = bsize;
    183 		if (n)
    184 			add_arc(bufs[0].b_buf, bufs[1].b_buf);
    185 		n = !n;
    186 	}
    187 	(void)fclose(fp);
    188 	if (n)
    189 		errx(1, "odd data count");
    190 
    191 	/* do the sort */
    192 	tsort();
    193 	exit(0);
    194 }
    195 
    196 /* double the size of oldbuf and return a pointer to the new buffer. */
    197 void *
    198 grow_buf(bp, size)
    199 	void *bp;
    200 	int size;
    201 {
    202 	void *n;
    203 
    204 	if ((n = realloc(bp, (u_int)size)) == NULL)
    205 		err(1, "realloc");
    206 	bp = n;
    207 	return (bp);
    208 }
    209 
    210 /*
    211  * add an arc from node s1 to node s2 in the graph.  If s1 or s2 are not in
    212  * the graph, then add them.
    213  */
    214 void
    215 add_arc(s1, s2)
    216 	char *s1, *s2;
    217 {
    218 	NODE *n1;
    219 	NODE *n2;
    220 	int bsize, i;
    221 
    222 	n1 = get_node(s1);
    223 
    224 	if (!strcmp(s1, s2))
    225 		return;
    226 
    227 	n2 = get_node(s2);
    228 
    229 	/*
    230 	 * Check if this arc is already here.
    231 	 */
    232 	for (i = 0; i < n1->n_narcs; i++)
    233 		if (n1->n_arcs[i] == n2)
    234 			return;
    235 	/*
    236 	 * Add it.
    237 	 */
    238 	if (n1->n_narcs == n1->n_arcsize) {
    239 		if (!n1->n_arcsize)
    240 			n1->n_arcsize = 10;
    241 		bsize = n1->n_arcsize * sizeof(*n1->n_arcs) * 2;
    242 		n1->n_arcs = grow_buf(n1->n_arcs, bsize);
    243 		n1->n_arcsize = bsize / sizeof(*n1->n_arcs);
    244 	}
    245 	n1->n_arcs[n1->n_narcs++] = n2;
    246 	++n2->n_refcnt;
    247 }
    248 
    249 /* Find a node in the graph (insert if not found) and return a pointer to it. */
    250 NODE *
    251 get_node(name)
    252 	char *name;
    253 {
    254 	DBT data, key;
    255 	NODE *n;
    256 
    257 	if (db == NULL &&
    258 	    (db = dbopen(NULL, O_RDWR, 0, DB_HASH, NULL)) == NULL)
    259 		err(1, "db: %s", name);
    260 
    261 	key.data = name;
    262 	key.size = strlen(name) + 1;
    263 
    264 	switch ((*db->get)(db, &key, &data, 0)) {
    265 	case 0:
    266 		memmove(&n, data.data, sizeof(n));
    267 		return (n);
    268 	case 1:
    269 		break;
    270 	default:
    271 	case -1:
    272 		err(1, "db: %s", name);
    273 	}
    274 
    275 	if ((n = malloc(sizeof(NODE) + key.size)) == NULL)
    276 		err(1, "malloc");
    277 
    278 	n->n_narcs = 0;
    279 	n->n_arcsize = 0;
    280 	n->n_arcs = NULL;
    281 	n->n_refcnt = 0;
    282 	n->n_flags = 0;
    283 	memmove(n->n_name, name, key.size);
    284 
    285 	/* Add to linked list. */
    286 	if ((n->n_next = graph) != NULL)
    287 		graph->n_prevp = &n->n_next;
    288 	n->n_prevp = &graph;
    289 	graph = n;
    290 
    291 	/* Add to hash table. */
    292 	data.data = &n;
    293 	data.size = sizeof(n);
    294 	if ((*db->put)(db, &key, &data, 0))
    295 		err(1, "db: %s", name);
    296 	return (n);
    297 }
    298 
    299 
    300 /*
    301  * Clear the NODEST flag from all nodes.
    302  */
    303 void
    304 clear_cycle()
    305 {
    306 	NODE *n;
    307 
    308 	for (n = graph; n != NULL; n = n->n_next)
    309 		n->n_flags &= ~NF_NODEST;
    310 }
    311 
    312 /* do topological sort on graph */
    313 void
    314 tsort()
    315 {
    316 	NODE *n, *next;
    317 	int cnt, i;
    318 
    319 	while (graph != NULL) {
    320 		/*
    321 		 * Keep getting rid of simple cases until there are none left,
    322 		 * if there are any nodes still in the graph, then there is
    323 		 * a cycle in it.
    324 		 */
    325 		do {
    326 			for (cnt = 0, n = graph; n != NULL; n = next) {
    327 				next = n->n_next;
    328 				if (n->n_refcnt == 0) {
    329 					remove_node(n);
    330 					++cnt;
    331 				}
    332 			}
    333 		} while (graph != NULL && cnt);
    334 
    335 		if (graph == NULL)
    336 			break;
    337 
    338 		if (!cycle_buf) {
    339 			/*
    340 			 * Allocate space for two cycle logs - one to be used
    341 			 * as scratch space, the other to save the longest
    342 			 * cycle.
    343 			 */
    344 			for (cnt = 0, n = graph; n != NULL; n = n->n_next)
    345 				++cnt;
    346 			cycle_buf = malloc((u_int)sizeof(NODE *) * cnt);
    347 			longest_cycle = malloc((u_int)sizeof(NODE *) * cnt);
    348 			if (cycle_buf == NULL || longest_cycle == NULL)
    349 				err(1, "malloc");
    350 		}
    351 		for (n = graph; n != NULL; n = n->n_next) {
    352 			if (!(n->n_flags & NF_ACYCLIC)) {
    353 				if ((cnt = find_cycle(n, n, 0, 0)) != 0) {
    354 					if (!quiet) {
    355 						warnx("cycle in data");
    356 						for (i = 0; i < cnt; i++)
    357 							warnx("%s",
    358 							    longest_cycle[i]->n_name);
    359 					}
    360 					remove_node(n);
    361 					clear_cycle();
    362 					break;
    363 				} else {
    364 					/* to avoid further checks */
    365 					n->n_flags  |= NF_ACYCLIC;
    366 					clear_cycle();
    367 				}
    368 			}
    369 		}
    370 		if (n == NULL)
    371 			errx(1, "internal error -- could not find cycle");
    372 	}
    373 }
    374 
    375 /* print node and remove from graph (does not actually free node) */
    376 void
    377 remove_node(n)
    378 	NODE *n;
    379 {
    380 	NODE **np;
    381 	int i;
    382 
    383 	(void)printf("%s\n", n->n_name);
    384 	for (np = n->n_arcs, i = n->n_narcs; --i >= 0; np++)
    385 		--(*np)->n_refcnt;
    386 	n->n_narcs = 0;
    387 	*n->n_prevp = n->n_next;
    388 	if (n->n_next)
    389 		n->n_next->n_prevp = n->n_prevp;
    390 }
    391 
    392 
    393 /* look for the longest? cycle from node from to node to. */
    394 int
    395 find_cycle(from, to, longest_len, depth)
    396 	NODE *from, *to;
    397 	int depth, longest_len;
    398 {
    399 	NODE **np;
    400 	int i, len;
    401 
    402 	/*
    403 	 * avoid infinite loops and ignore portions of the graph known
    404 	 * to be acyclic
    405 	 */
    406 	if (from->n_flags & (NF_NODEST|NF_MARK|NF_ACYCLIC))
    407 		return (0);
    408 	from->n_flags |= NF_MARK;
    409 
    410 	for (np = from->n_arcs, i = from->n_narcs; --i >= 0; np++) {
    411 		cycle_buf[depth] = *np;
    412 		if (*np == to) {
    413 			if (depth + 1 > longest_len) {
    414 				longest_len = depth + 1;
    415 				(void)memcpy((char *)longest_cycle,
    416 				    (char *)cycle_buf,
    417 				    longest_len * sizeof(NODE *));
    418 			}
    419 		} else {
    420 			if ((*np)->n_flags & (NF_MARK|NF_ACYCLIC|NF_NODEST))
    421 				continue;
    422 			len = find_cycle(*np, to, longest_len, depth + 1);
    423 
    424 			if (debug)
    425 				(void)printf("%*s %s->%s %d\n", depth, "",
    426 				    from->n_name, to->n_name, len);
    427 
    428 			if (len == 0)
    429 				(*np)->n_flags |= NF_NODEST;
    430 
    431 			if (len > longest_len)
    432 				longest_len = len;
    433 
    434 			if (len > 0 && !longest)
    435 				break;
    436 		}
    437 	}
    438 	from->n_flags &= ~NF_MARK;
    439 	return (longest_len);
    440 }
    441 
    442 void
    443 usage()
    444 {
    445 	(void)fprintf(stderr, "usage: tsort [-lq] [file]\n");
    446 	exit(1);
    447 }
    448