403 lines
9.6 KiB
C
403 lines
9.6 KiB
C
/*
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* Copyright (c) 1989 The Regents of the University of California.
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* All rights reserved.
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*
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* This code is derived from software contributed to Berkeley by
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* Michael Rendell of Memorial University of Newfoundland.
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*
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* Redistribution and use in source and binary forms, with or without
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* modification, are permitted provided that the following conditions
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* are met:
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* 1. Redistributions of source code must retain the above copyright
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* notice, this list of conditions and the following disclaimer.
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* 2. Redistributions in binary form must reproduce the above copyright
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* notice, this list of conditions and the following disclaimer in the
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* documentation and/or other materials provided with the distribution.
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* 3. All advertising materials mentioning features or use of this software
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* must display the following acknowledgement:
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* This product includes software developed by the University of
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* California, Berkeley and its contributors.
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* 4. Neither the name of the University nor the names of its contributors
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* may be used to endorse or promote products derived from this software
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* without specific prior written permission.
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*
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* THIS SOFTWARE IS PROVIDED BY THE REGENTS AND CONTRIBUTORS ``AS IS'' AND
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* ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE
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* IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR PURPOSE
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* ARE DISCLAIMED. IN NO EVENT SHALL THE REGENTS OR CONTRIBUTORS BE LIABLE
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* FOR ANY DIRECT, INDIRECT, INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL
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* DAMAGES (INCLUDING, BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS
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* OR SERVICES; LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION)
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* HOWEVER CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT
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* LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY
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* OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF
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* SUCH DAMAGE.
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*/
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#ifndef lint
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char copyright[] =
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"@(#) Copyright (c) 1989 The Regents of the University of California.\n\
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All rights reserved.\n";
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#endif /* not lint */
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#ifndef lint
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/*static char sccsid[] = "from: @(#)tsort.c 5.3 (Berkeley) 6/1/90";*/
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static char rcsid[] = "$Id: tsort.c,v 1.6 1993/12/01 22:31:06 cgd Exp $";
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#endif /* not lint */
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#include <sys/types.h>
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#include <errno.h>
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#include <stdio.h>
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#include <ctype.h>
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#include <string.h>
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/*
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* Topological sort. Input is a list of pairs of strings seperated by
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* white space (spaces, tabs, and/or newlines); strings are written to
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* standard output in sorted order, one per line.
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*
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* usage:
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* tsort [inputfile]
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* If no input file is specified, standard input is read.
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*
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* Should be compatable with AT&T tsort HOWEVER the output is not identical
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* (i.e. for most graphs there is more than one sorted order, and this tsort
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* usually generates a different one then the AT&T tsort). Also, cycle
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* reporting seems to be more accurate in this version (the AT&T tsort
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* sometimes says a node is in a cycle when it isn't).
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*
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* Michael Rendell, michael@stretch.cs.mun.ca - Feb 26, '90
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*/
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#define HASHSIZE 53 /* doesn't need to be big */
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#define NF_MARK 0x1 /* marker for cycle detection */
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#define NF_ACYCLIC 0x2 /* this node is cycle free */
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typedef struct node_str NODE;
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struct node_str {
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char *n_name; /* name of this node */
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NODE **n_prevp; /* pointer to previous node's n_next */
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NODE *n_next; /* next node in graph */
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NODE *n_hash; /* next node in hash table */
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int n_narcs; /* number of arcs in n_arcs[] */
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int n_arcsize; /* size of n_arcs[] array */
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NODE **n_arcs; /* array of arcs to other nodes */
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int n_refcnt; /* # of arcs pointing to this node */
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int n_flags; /* NF_* */
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};
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typedef struct _buf {
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char *b_buf;
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int b_bsize;
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} BUF;
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NODE *add_node(), *find_node();
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void add_arc(), no_memory(), remove_node(), tsort();
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char *grow_buf(), *malloc();
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extern int errno;
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NODE *graph;
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NODE *hashtable[HASHSIZE];
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NODE **cycle_buf;
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NODE **longest_cycle;
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main(argc, argv)
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int argc;
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char **argv;
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{
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register BUF *b;
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register int c, n;
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FILE *fp;
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int bsize, nused;
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BUF bufs[2];
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if (argc < 2)
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fp = stdin;
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else if (argc > 2) {
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(void)fprintf(stderr, "usage: tsort [ inputfile ]\n");
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exit(1);
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} else if (!(fp = fopen(argv[1], "r"))) {
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(void)fprintf(stderr, "tsort: %s.\n", strerror(errno));
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exit(1);
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}
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for (b = bufs, n = 2; --n >= 0; b++)
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b->b_buf = grow_buf((char *)NULL, b->b_bsize = 1024);
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/* parse input and build the graph */
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for (n = 0, c = getc(fp);;) {
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while (c != EOF && isspace(c))
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c = getc(fp);
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if (c == EOF)
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break;
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nused = 0;
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b = &bufs[n];
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bsize = b->b_bsize;
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do {
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b->b_buf[nused++] = c;
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if (nused == bsize) {
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bsize *= 2;
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b->b_buf = grow_buf(b->b_buf, bsize);
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}
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c = getc(fp);
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} while (c != EOF && !isspace(c));
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b->b_buf[nused] = '\0';
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b->b_bsize = bsize;
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if (n)
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add_arc(bufs[0].b_buf, bufs[1].b_buf);
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n = !n;
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}
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(void)fclose(fp);
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if (n) {
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(void)fprintf(stderr, "tsort: odd data count.\n");
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exit(1);
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}
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/* do the sort */
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tsort();
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exit(0);
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}
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/* double the size of oldbuf and return a pointer to the new buffer. */
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char *
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grow_buf(bp, size)
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char *bp;
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int size;
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{
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char *realloc();
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if (!(bp = realloc(bp, (u_int)size)))
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no_memory();
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return(bp);
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}
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/*
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* add an arc from node s1 to node s2 in the graph. If s1 or s2 are not in
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* the graph, then add them.
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*/
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void
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add_arc(s1, s2)
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char *s1, *s2;
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{
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register NODE *n1;
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NODE *n2;
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int bsize, i;
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n1 = find_node(s1);
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if (!n1)
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n1 = add_node(s1);
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if (!strcmp(s1, s2))
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return;
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n2 = find_node(s2);
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if (!n2)
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n2 = add_node(s2);
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/*
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* Check if this arc is already here.
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*/
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for (i = 0; i < n1->n_narcs; i++)
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if (n1->n_arcs[i] == n2)
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return;
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/*
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* Add it.
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*/
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if (n1->n_narcs == n1->n_arcsize) {
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if (!n1->n_arcsize)
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n1->n_arcsize = 10;
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bsize = n1->n_arcsize * sizeof(*n1->n_arcs) * 2;
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n1->n_arcs = (NODE **)grow_buf((char *)n1->n_arcs, bsize);
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n1->n_arcsize = bsize / sizeof(*n1->n_arcs);
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}
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n1->n_arcs[n1->n_narcs++] = n2;
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++n2->n_refcnt;
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}
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hash_string(s)
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char *s;
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{
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register int hash, i;
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for (hash = 0, i = 1; *s; s++, i++)
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hash += *s * i;
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return(hash % HASHSIZE);
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}
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/*
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* find a node in the graph and return a pointer to it - returns null if not
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* found.
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*/
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NODE *
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find_node(name)
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char *name;
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{
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register NODE *n;
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for (n = hashtable[hash_string(name)]; n; n = n->n_hash)
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if (!strcmp(n->n_name, name))
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return(n);
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return((NODE *)NULL);
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}
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/* Add a node to the graph and return a pointer to it. */
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NODE *
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add_node(name)
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char *name;
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{
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register NODE *n;
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int hash;
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if (!(n = (NODE *)malloc(sizeof(NODE))) || !(n->n_name = strdup(name)))
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no_memory();
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n->n_narcs = 0;
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n->n_arcsize = 0;
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n->n_arcs = (NODE **)NULL;
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n->n_refcnt = 0;
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n->n_flags = 0;
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/* add to linked list */
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if (n->n_next = graph)
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graph->n_prevp = &n->n_next;
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n->n_prevp = &graph;
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graph = n;
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/* add to hash table */
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hash = hash_string(name);
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n->n_hash = hashtable[hash];
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hashtable[hash] = n;
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return(n);
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}
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/* do topological sort on graph */
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void
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tsort()
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{
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register NODE *n, *m, *next;
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register int cnt;
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while (graph) {
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/*
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* keep getting rid of simple cases until there are none left,
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* if there are any nodes still in the graph, then there is
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* a cycle in it.
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*/
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do {
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for (cnt = 0, n = graph; n; n = next) {
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next = n->n_next;
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if (n->n_refcnt == 0) {
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remove_node(n);
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++cnt;
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}
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}
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} while (graph && cnt);
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if (!graph)
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break;
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if (!cycle_buf) {
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/*
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* allocate space for two cycle logs - one to be used
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* as scratch space, the other to save the longest
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* cycle.
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*/
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for (cnt = 0, n = graph; n; n = n->n_next)
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++cnt;
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cycle_buf =
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(NODE **)malloc((u_int)sizeof(NODE *) * cnt);
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longest_cycle =
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(NODE **)malloc((u_int)sizeof(NODE *) * cnt);
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if (!cycle_buf || !longest_cycle)
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no_memory();
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}
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for (n = graph; n; n = n->n_next)
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if (!(n->n_flags & NF_ACYCLIC)) {
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for (m=graph; m; m=m->n_next)
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m->n_flags &= ~NF_MARK;
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if (cnt = find_cycle(n, n, 0, 0)) {
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register int i;
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(void)fprintf(stderr,
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"tsort: cycle in data.\n");
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for (i = 0; i < cnt; i++)
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(void)fprintf(stderr,
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"tsort: %s.\n", longest_cycle[i]->n_name);
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remove_node(n);
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break;
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} else
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/* to avoid further checks */
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n->n_flags = NF_ACYCLIC;
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}
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if (!n) {
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(void)fprintf(stderr,
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"tsort: internal error -- could not find cycle.\n");
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exit(1);
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}
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}
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}
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/* print node and remove from graph (does not actually free node) */
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void
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remove_node(n)
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register NODE *n;
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{
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register NODE **np;
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register int i;
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(void)printf("%s\n", n->n_name);
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for (np = n->n_arcs, i = n->n_narcs; --i >= 0; np++)
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--(*np)->n_refcnt;
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n->n_narcs = 0;
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*n->n_prevp = n->n_next;
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if (n->n_next)
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n->n_next->n_prevp = n->n_prevp;
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}
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/* look for a path from node from to node to. */
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find_cycle(from, to, longest_len, depth)
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NODE *from, *to;
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int depth, longest_len;
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{
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register NODE **np;
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register int i, len;
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/*
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* avoid infinite loops and ignore portions of the graph known
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* to be acyclic
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*/
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if (from->n_flags & (NF_MARK|NF_ACYCLIC))
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return(0);
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from->n_flags = NF_MARK;
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for (np = from->n_arcs, i = from->n_narcs; --i >= 0; np++) {
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cycle_buf[depth] = *np;
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if (*np == to) {
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if (depth + 1 > longest_len) {
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longest_len = depth + 1;
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(void)memcpy((char *)longest_cycle,
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(char *)cycle_buf,
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longest_len * sizeof(NODE *));
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}
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} else {
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len = find_cycle(*np, to, longest_len, depth + 1);
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if (len > longest_len) {
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longest_len = len;
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break;
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}
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}
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}
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return(longest_len);
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}
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void
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no_memory()
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{
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(void)fprintf(stderr, "tsort: %s.\n", strerror(ENOMEM));
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exit(1);
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}
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