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tsort.c revision 1.2
      1 /*
      2  * Copyright (c) 1989 The Regents of the University of California.
      3  * All rights reserved.
      4  *
      5  * This code is derived from software contributed to Berkeley by
      6  * Michael Rendell of Memorial University of Newfoundland.
      7  *
      8  * Redistribution and use in source and binary forms, with or without
      9  * modification, are permitted provided that the following conditions
     10  * are met:
     11  * 1. Redistributions of source code must retain the above copyright
     12  *    notice, this list of conditions and the following disclaimer.
     13  * 2. Redistributions in binary form must reproduce the above copyright
     14  *    notice, this list of conditions and the following disclaimer in the
     15  *    documentation and/or other materials provided with the distribution.
     16  * 3. All advertising materials mentioning features or use of this software
     17  *    must display the following acknowledgement:
     18  *	This product includes software developed by the University of
     19  *	California, Berkeley and its contributors.
     20  * 4. Neither the name of the University nor the names of its contributors
     21  *    may be used to endorse or promote products derived from this software
     22  *    without specific prior written permission.
     23  *
     24  * THIS SOFTWARE IS PROVIDED BY THE REGENTS AND CONTRIBUTORS ``AS IS'' AND
     25  * ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE
     26  * IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR PURPOSE
     27  * ARE DISCLAIMED.  IN NO EVENT SHALL THE REGENTS OR CONTRIBUTORS BE LIABLE
     28  * FOR ANY DIRECT, INDIRECT, INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL
     29  * DAMAGES (INCLUDING, BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS
     30  * OR SERVICES; LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION)
     31  * HOWEVER CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT
     32  * LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY
     33  * OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF
     34  * SUCH DAMAGE.
     35  */
     36 
     37 #ifndef lint
     38 char copyright[] =
     39 "@(#) Copyright (c) 1989 The Regents of the University of California.\n\
     40  All rights reserved.\n";
     41 #endif /* not lint */
     42 
     43 #ifndef lint
     44 /*static char sccsid[] = "from: @(#)tsort.c	5.3 (Berkeley) 6/1/90";*/
     45 static char rcsid[] = "$Id: tsort.c,v 1.2 1993/08/01 18:04:16 mycroft Exp $";
     46 #endif /* not lint */
     47 
     48 #include <sys/types.h>
     49 #include <errno.h>
     50 #include <stdio.h>
     51 #include <ctype.h>
     52 #include <string.h>
     53 
     54 /*
     55  *  Topological sort.  Input is a list of pairs of strings seperated by
     56  *  white space (spaces, tabs, and/or newlines); strings are written to
     57  *  standard output in sorted order, one per line.
     58  *
     59  *  usage:
     60  *     tsort [inputfile]
     61  *  If no input file is specified, standard input is read.
     62  *
     63  *  Should be compatable with AT&T tsort HOWEVER the output is not identical
     64  *  (i.e. for most graphs there is more than one sorted order, and this tsort
     65  *  usually generates a different one then the AT&T tsort).  Also, cycle
     66  *  reporting seems to be more accurate in this version (the AT&T tsort
     67  *  sometimes says a node is in a cycle when it isn't).
     68  *
     69  *  Michael Rendell, michael (at) stretch.cs.mun.ca - Feb 26, '90
     70  */
     71 #define	HASHSIZE	53		/* doesn't need to be big */
     72 #define	NF_MARK		0x1		/* marker for cycle detection */
     73 #define	NF_ACYCLIC	0x2		/* this node is cycle free */
     74 
     75 typedef struct node_str NODE;
     76 
     77 struct node_str {
     78 	char *n_name;			/* name of this node */
     79 	NODE **n_prevp;			/* pointer to previous node's n_next */
     80 	NODE *n_next;			/* next node in graph */
     81 	NODE *n_hash;			/* next node in hash table */
     82 	int n_narcs;			/* number of arcs in n_arcs[] */
     83 	int n_arcsize;			/* size of n_arcs[] array */
     84 	NODE **n_arcs;			/* array of arcs to other nodes */
     85 	int n_refcnt;			/* # of arcs pointing to this node */
     86 	int n_flags;			/* NF_* */
     87 };
     88 
     89 typedef struct _buf {
     90 	char *b_buf;
     91 	int b_bsize;
     92 } BUF;
     93 
     94 NODE *add_node(), *find_node();
     95 void add_arc(), no_memory(), remove_node(), tsort();
     96 char *grow_buf(), *malloc();
     97 
     98 extern int errno;
     99 NODE *graph;
    100 NODE *hashtable[HASHSIZE];
    101 NODE **cycle_buf;
    102 NODE **longest_cycle;
    103 
    104 main(argc, argv)
    105 	int argc;
    106 	char **argv;
    107 {
    108 	register BUF *b;
    109 	register int c, n;
    110 	FILE *fp;
    111 	int bsize, nused;
    112 	BUF bufs[2];
    113 
    114 	if (argc < 2)
    115 		fp = stdin;
    116 	else if (argc == 2) {
    117 		(void)fprintf(stderr, "usage: tsort [ inputfile ]\n");
    118 		exit(1);
    119 	} else if (!(fp = fopen(argv[1], "r"))) {
    120 		(void)fprintf(stderr, "tsort: %s.\n", strerror(errno));
    121 		exit(1);
    122 	}
    123 
    124 	for (b = bufs, n = 2; --n >= 0; b++)
    125 		b->b_buf = grow_buf((char *)NULL, b->b_bsize = 1024);
    126 
    127 	/* parse input and build the graph */
    128 	for (n = 0, c = getc(fp);;) {
    129 		while (c != EOF && isspace(c))
    130 			c = getc(fp);
    131 		if (c == EOF)
    132 			break;
    133 
    134 		nused = 0;
    135 		b = &bufs[n];
    136 		bsize = b->b_bsize;
    137 		do {
    138 			b->b_buf[nused++] = c;
    139 			if (nused == bsize) {
    140 				bsize *= 2;
    141 				b->b_buf = grow_buf(b->b_buf, bsize);
    142 			}
    143 			c = getc(fp);
    144 		} while (c != EOF && !isspace(c));
    145 
    146 		b->b_buf[nused] = '\0';
    147 		b->b_bsize = bsize;
    148 		if (n)
    149 			add_arc(bufs[0].b_buf, bufs[1].b_buf);
    150 		n = !n;
    151 	}
    152 	(void)fclose(fp);
    153 	if (n) {
    154 		(void)fprintf(stderr, "tsort: odd data count.\n");
    155 		exit(1);
    156 	}
    157 
    158 	/* do the sort */
    159 	tsort();
    160 	exit(0);
    161 }
    162 
    163 /* double the size of oldbuf and return a pointer to the new buffer. */
    164 char *
    165 grow_buf(bp, size)
    166 	char *bp;
    167 	int size;
    168 {
    169 	char *realloc();
    170 
    171 	if (!(bp = realloc(bp, (u_int)size)))
    172 		no_memory();
    173 	return(bp);
    174 }
    175 
    176 /*
    177  * add an arc from node s1 to node s2 in the graph.  If s1 or s2 are not in
    178  * the graph, then add them.
    179  */
    180 void
    181 add_arc(s1, s2)
    182 	char *s1, *s2;
    183 {
    184 	register NODE *n1;
    185 	NODE *n2;
    186 	int bsize;
    187 
    188 	n1 = find_node(s1);
    189 	if (!n1)
    190 		n1 = add_node(s1);
    191 
    192 	if (!strcmp(s1, s2))
    193 		return;
    194 
    195 	n2 = find_node(s2);
    196 	if (!n2)
    197 		n2 = add_node(s2);
    198 
    199 	/*
    200 	 * could check to see if this arc is here already, but it isn't
    201 	 * worth the bother -- there usually isn't and it doesn't hurt if
    202 	 * there is (I think :-).
    203 	 */
    204 	if (n1->n_narcs == n1->n_arcsize) {
    205 		if (!n1->n_arcsize)
    206 			n1->n_arcsize = 10;
    207 		bsize = n1->n_arcsize * sizeof(*n1->n_arcs) * 2;
    208 		n1->n_arcs = (NODE **)grow_buf((char *)n1->n_arcs, bsize);
    209 		n1->n_arcsize = bsize / sizeof(*n1->n_arcs);
    210 	}
    211 	n1->n_arcs[n1->n_narcs++] = n2;
    212 	++n2->n_refcnt;
    213 }
    214 
    215 hash_string(s)
    216 	char *s;
    217 {
    218 	register int hash, i;
    219 
    220 	for (hash = 0, i = 1; *s; s++, i++)
    221 		hash += *s * i;
    222 	return(hash % HASHSIZE);
    223 }
    224 
    225 /*
    226  * find a node in the graph and return a pointer to it - returns null if not
    227  * found.
    228  */
    229 NODE *
    230 find_node(name)
    231 	char *name;
    232 {
    233 	register NODE *n;
    234 
    235 	for (n = hashtable[hash_string(name)]; n; n = n->n_hash)
    236 		if (!strcmp(n->n_name, name))
    237 			return(n);
    238 	return((NODE *)NULL);
    239 }
    240 
    241 /* Add a node to the graph and return a pointer to it. */
    242 NODE *
    243 add_node(name)
    244 	char *name;
    245 {
    246 	register NODE *n;
    247 	int hash;
    248 
    249 	if (!(n = (NODE *)malloc(sizeof(NODE))) || !(n->n_name = strdup(name)))
    250 		no_memory();
    251 
    252 	n->n_narcs = 0;
    253 	n->n_arcsize = 0;
    254 	n->n_arcs = (NODE **)NULL;
    255 	n->n_refcnt = 0;
    256 	n->n_flags = 0;
    257 
    258 	/* add to linked list */
    259 	if (n->n_next = graph)
    260 		graph->n_prevp = &n->n_next;
    261 	n->n_prevp = &graph;
    262 	graph = n;
    263 
    264 	/* add to hash table */
    265 	hash = hash_string(name);
    266 	n->n_hash = hashtable[hash];
    267 	hashtable[hash] = n;
    268 	return(n);
    269 }
    270 
    271 /* do topological sort on graph */
    272 void
    273 tsort()
    274 {
    275 	register NODE *n, *next;
    276 	register int cnt;
    277 
    278 	while (graph) {
    279 		/*
    280 		 * keep getting rid of simple cases until there are none left,
    281 		 * if there are any nodes still in the graph, then there is
    282 		 * a cycle in it.
    283 		 */
    284 		do {
    285 			for (cnt = 0, n = graph; n; n = next) {
    286 				next = n->n_next;
    287 				if (n->n_refcnt == 0) {
    288 					remove_node(n);
    289 					++cnt;
    290 				}
    291 			}
    292 		} while (graph && cnt);
    293 
    294 		if (!graph)
    295 			break;
    296 
    297 		if (!cycle_buf) {
    298 			/*
    299 			 * allocate space for two cycle logs - one to be used
    300 			 * as scratch space, the other to save the longest
    301 			 * cycle.
    302 			 */
    303 			for (cnt = 0, n = graph; n; n = n->n_next)
    304 				++cnt;
    305 			cycle_buf =
    306 			    (NODE **)malloc((u_int)sizeof(NODE *) * cnt);
    307 			longest_cycle =
    308 			    (NODE **)malloc((u_int)sizeof(NODE *) * cnt);
    309 			if (!cycle_buf || !longest_cycle)
    310 				no_memory();
    311 		}
    312 		for (n = graph; n; n = n->n_next)
    313 			if (!(n->n_flags & NF_ACYCLIC)) {
    314 				if (cnt = find_cycle(n, n, 0, 0)) {
    315 					register int i;
    316 
    317 					(void)fprintf(stderr,
    318 					    "tsort: cycle in data.\n");
    319 					for (i = 0; i < cnt; i++)
    320 						(void)fprintf(stderr,
    321 				"tsort: %s.\n", longest_cycle[i]->n_name);
    322 					remove_node(n);
    323 					break;
    324 				} else
    325 					/* to avoid further checks */
    326 					n->n_flags  = NF_ACYCLIC;
    327 			}
    328 
    329 		if (!n) {
    330 			(void)fprintf(stderr,
    331 			    "tsort: internal error -- could not find cycle.\n");
    332 			exit(1);
    333 		}
    334 	}
    335 }
    336 
    337 /* print node and remove from graph (does not actually free node) */
    338 void
    339 remove_node(n)
    340 	register NODE *n;
    341 {
    342 	register NODE **np;
    343 	register int i;
    344 
    345 	(void)printf("%s\n", n->n_name);
    346 	for (np = n->n_arcs, i = n->n_narcs; --i >= 0; np++)
    347 		--(*np)->n_refcnt;
    348 	n->n_narcs = 0;
    349 	*n->n_prevp = n->n_next;
    350 	if (n->n_next)
    351 		n->n_next->n_prevp = n->n_prevp;
    352 }
    353 
    354 /* look for the longest cycle from node from to node to. */
    355 find_cycle(from, to, longest_len, depth)
    356 	NODE *from, *to;
    357 	int depth, longest_len;
    358 {
    359 	register NODE **np;
    360 	register int i, len;
    361 
    362 	/*
    363 	 * avoid infinite loops and ignore portions of the graph known
    364 	 * to be acyclic
    365 	 */
    366 	if (from->n_flags & (NF_MARK|NF_ACYCLIC))
    367 		return(0);
    368 	from->n_flags = NF_MARK;
    369 
    370 	for (np = from->n_arcs, i = from->n_narcs; --i >= 0; np++) {
    371 		cycle_buf[depth] = *np;
    372 		if (*np == to) {
    373 			if (depth + 1 > longest_len) {
    374 				longest_len = depth + 1;
    375 				(void)memcpy((char *)longest_cycle,
    376 				    (char *)cycle_buf,
    377 				    longest_len * sizeof(NODE *));
    378 			}
    379 		} else {
    380 			len = find_cycle(*np, to, longest_len, depth + 1);
    381 			if (len > longest_len)
    382 				longest_len = len;
    383 		}
    384 	}
    385 	from->n_flags &= ~NF_MARK;
    386 	return(longest_len);
    387 }
    388 
    389 void
    390 no_memory()
    391 {
    392 	(void)fprintf(stderr, "tsort: %s.\n", strerror(ENOMEM));
    393 	exit(1);
    394 }
    395