update with latest, from christos@deshaw.com
This commit is contained in:
parent
362ce33181
commit
30ac3de0e9
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@ -32,7 +32,7 @@
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.\" SUCH DAMAGE.
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.\" SUCH DAMAGE.
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.\"
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.\"
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.\" from: @(#)tsort.1 6.3 (Berkeley) 4/23/91
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.\" from: @(#)tsort.1 6.3 (Berkeley) 4/23/91
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.\" $Id: tsort.1,v 1.2 1993/08/01 07:27:19 mycroft Exp $
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.\" $Id: tsort.1,v 1.3 1994/02/04 07:02:09 cgd Exp $
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.\"
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.\"
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.Dd April 23, 1991
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.Dd April 23, 1991
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.Dt TSORT 1
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.Dt TSORT 1
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@ -42,6 +42,7 @@
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.Nd topological sort of a directed graph
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.Nd topological sort of a directed graph
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.Sh SYNOPSIS
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.Sh SYNOPSIS
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.Nm tsort
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.Nm tsort
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.Op Fl l
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.Op Ar file
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.Op Ar file
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.Sh DESCRIPTION
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.Sh DESCRIPTION
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.Nm Tsort
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.Nm Tsort
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@ -62,6 +63,11 @@ This is useful when a node is not connected to any other nodes.
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If the graph contains a cycle (and therefore cannot be properly sorted),
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If the graph contains a cycle (and therefore cannot be properly sorted),
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one of the arcs in the cycle is ignored and the sort continues.
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one of the arcs in the cycle is ignored and the sort continues.
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Cycles are reported on standard error.
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Cycles are reported on standard error.
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.Sh OPTIONS
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.Bl -tag -width indent
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The available options are as follows:
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.It Fl l
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Search for the longest cycle. Can take a long time.
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.Sh SEE ALSO
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.Sh SEE ALSO
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.Xr ar 1
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.Xr ar 1
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.Sh HISTORY
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.Sh HISTORY
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@ -1,6 +1,6 @@
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/*
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/*
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* Copyright (c) 1989 The Regents of the University of California.
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* Copyright (c) 1989, 1993
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* All rights reserved.
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* The Regents of the University of California. All rights reserved.
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*
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*
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* This code is derived from software contributed to Berkeley by
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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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* Michael Rendell of Memorial University of Newfoundland.
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@ -35,29 +35,32 @@
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*/
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*/
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#ifndef lint
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#ifndef lint
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char copyright[] =
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static char copyright[] =
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"@(#) Copyright (c) 1989 The Regents of the University of California.\n\
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"@(#) Copyright (c) 1989, 1993\n\
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All rights reserved.\n";
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The Regents of the University of California. All rights reserved.\n";
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#endif /* not lint */
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#endif /* not lint */
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#ifndef 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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/* from: static char sccsid[] = "@(#)tsort.c 8.1 (Berkeley) 6/9/93"; */
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static char rcsid[] = "$Id: tsort.c,v 1.6 1993/12/01 22:31:06 cgd Exp $";
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static char *rcsid = "$Id: tsort.c,v 1.7 1994/02/04 07:02:11 cgd Exp $";
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#endif /* not lint */
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#endif /* not lint */
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#include <sys/types.h>
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#include <sys/types.h>
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#include <errno.h>
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#include <errno.h>
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#include <fcntl.h>
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#include <db.h>
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#include <stdio.h>
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#include <stdio.h>
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#include <stdlib.h>
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#include <ctype.h>
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#include <ctype.h>
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#include <string.h>
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#include <string.h>
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/*
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/*
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* Topological sort. Input is a list of pairs of strings seperated by
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* Topological sort. Input is a list of pairs of strings separated by
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* white space (spaces, tabs, and/or newlines); strings are written to
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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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* standard output in sorted order, one per line.
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*
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*
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* usage:
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* usage:
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* tsort [inputfile]
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* tsort [-l] [inputfile]
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* If no input file is specified, standard input is read.
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* If no input file is specified, standard input is read.
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*
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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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* Should be compatable with AT&T tsort HOWEVER the output is not identical
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@ -71,19 +74,20 @@ static char rcsid[] = "$Id: tsort.c,v 1.6 1993/12/01 22:31:06 cgd Exp $";
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#define HASHSIZE 53 /* doesn't need to be big */
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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_MARK 0x1 /* marker for cycle detection */
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#define NF_ACYCLIC 0x2 /* this node is cycle free */
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#define NF_ACYCLIC 0x2 /* this node is cycle free */
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#define NF_NODEST 0x4 /* Unreachable */
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typedef struct node_str NODE;
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typedef struct node_str NODE;
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struct node_str {
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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_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_next; /* next node in graph */
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NODE *n_hash; /* next node in hash table */
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NODE **n_arcs; /* array of arcs to other nodes */
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int n_narcs; /* number of arcs in n_arcs[] */
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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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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_refcnt; /* # of arcs pointing to this node */
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int n_flags; /* NF_* */
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int n_flags; /* NF_* */
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char n_name[1]; /* name of this node */
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};
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};
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typedef struct _buf {
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typedef struct _buf {
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@ -91,38 +95,64 @@ typedef struct _buf {
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int b_bsize;
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int b_bsize;
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} BUF;
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} BUF;
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NODE *add_node(), *find_node();
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DB *db;
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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 *graph;
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NODE *hashtable[HASHSIZE];
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NODE **cycle_buf;
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NODE **cycle_buf;
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NODE **longest_cycle;
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NODE **longest_cycle;
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int longest = 0;
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int debug = 0;
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void add_arc __P((char *, char *));
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void err __P((const char *, ...));
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int find_cycle __P((NODE *, NODE *, int, int));
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NODE *get_node __P((char *));
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void *grow_buf __P((void *, int));
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void remove_node __P((NODE *));
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void tsort __P((void));
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void usage __P((void));
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int
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main(argc, argv)
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main(argc, argv)
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int argc;
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int argc;
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char **argv;
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char *argv[];
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{
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{
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register BUF *b;
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register BUF *b;
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register int c, n;
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register int c, n;
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FILE *fp;
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FILE *fp;
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int bsize, nused;
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int bsize, ch, nused;
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BUF bufs[2];
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BUF bufs[2];
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if (argc < 2)
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while ((ch = getopt(argc, argv, "dl")) != EOF)
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switch(ch) {
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case 'd':
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debug = 1;
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break;
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case 'l':
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longest = 1;
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break;
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case '?':
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default:
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usage();
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}
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argc -= optind;
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argv += optind;
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switch(argc) {
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case 0:
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fp = stdin;
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fp = stdin;
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else if (argc > 2) {
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break;
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(void)fprintf(stderr, "usage: tsort [ inputfile ]\n");
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case 1:
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exit(1);
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if ((fp = fopen(*argv, "r")) == NULL)
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} else if (!(fp = fopen(argv[1], "r"))) {
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err("%s: %s", *argv, strerror(errno));
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(void)fprintf(stderr, "tsort: %s.\n", strerror(errno));
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break;
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exit(1);
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default:
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usage();
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}
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}
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for (b = bufs, n = 2; --n >= 0; b++)
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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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b->b_buf = grow_buf(NULL, b->b_bsize = 1024);
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/* parse input and build the graph */
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/* parse input and build the graph */
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for (n = 0, c = getc(fp);;) {
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for (n = 0, c = getc(fp);;) {
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@ -136,10 +166,8 @@ main(argc, argv)
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bsize = b->b_bsize;
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bsize = b->b_bsize;
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do {
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do {
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b->b_buf[nused++] = c;
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b->b_buf[nused++] = c;
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if (nused == bsize) {
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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 *= 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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c = getc(fp);
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} while (c != EOF && !isspace(c));
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} while (c != EOF && !isspace(c));
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@ -150,10 +178,8 @@ main(argc, argv)
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n = !n;
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n = !n;
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}
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}
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(void)fclose(fp);
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(void)fclose(fp);
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if (n) {
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if (n)
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(void)fprintf(stderr, "tsort: odd data count.\n");
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err("odd data count");
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exit(1);
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}
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/* do the sort */
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/* do the sort */
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tsort();
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tsort();
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@ -161,15 +187,13 @@ main(argc, argv)
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}
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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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/* double the size of oldbuf and return a pointer to the new buffer. */
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char *
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void *
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grow_buf(bp, size)
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grow_buf(bp, size)
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char *bp;
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void *bp;
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int size;
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int size;
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{
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{
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char *realloc();
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if ((bp = realloc(bp, (u_int)size)) == NULL)
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err("%s", strerror(errno));
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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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return (bp);
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}
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}
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@ -185,16 +209,12 @@ add_arc(s1, s2)
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NODE *n2;
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NODE *n2;
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int bsize, i;
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int bsize, i;
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n1 = find_node(s1);
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n1 = get_node(s1);
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if (!n1)
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n1 = add_node(s1);
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if (!strcmp(s1, s2))
|
if (!strcmp(s1, s2))
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return;
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return;
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n2 = find_node(s2);
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n2 = get_node(s2);
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if (!n2)
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n2 = add_node(s2);
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/*
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/*
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* Check if this arc is already here.
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* Check if this arc is already here.
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@ -202,7 +222,6 @@ add_arc(s1, s2)
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for (i = 0; i < n1->n_narcs; i++)
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for (i = 0; i < n1->n_narcs; i++)
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if (n1->n_arcs[i] == n2)
|
if (n1->n_arcs[i] == n2)
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return;
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return;
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/*
|
/*
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* Add it.
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* Add it.
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*/
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*/
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@ -210,79 +229,86 @@ add_arc(s1, s2)
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if (!n1->n_arcsize)
|
if (!n1->n_arcsize)
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n1->n_arcsize = 10;
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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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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_arcs = grow_buf(n1->n_arcs, bsize);
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n1->n_arcsize = bsize / sizeof(*n1->n_arcs);
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n1->n_arcsize = bsize / sizeof(*n1->n_arcs);
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}
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}
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n1->n_arcs[n1->n_narcs++] = n2;
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n1->n_arcs[n1->n_narcs++] = n2;
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++n2->n_refcnt;
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++n2->n_refcnt;
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}
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}
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|
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hash_string(s)
|
/* Find a node in the graph (insert if not found) and return a pointer to it. */
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char *s;
|
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{
|
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register int hash, i;
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|
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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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|
|
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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 *
|
NODE *
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find_node(name)
|
get_node(name)
|
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char *name;
|
char *name;
|
||||||
{
|
{
|
||||||
register NODE *n;
|
DBT data, key;
|
||||||
|
NODE *n;
|
||||||
|
|
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for (n = hashtable[hash_string(name)]; n; n = n->n_hash)
|
if (db == NULL &&
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if (!strcmp(n->n_name, name))
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(db = dbopen(NULL, O_RDWR, 0, DB_HASH, NULL)) == NULL)
|
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|
err("db: open: %s", name, strerror(errno));
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|
|
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|
key.data = name;
|
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|
key.size = strlen(name) + 1;
|
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|
|
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|
switch((*db->get)(db, &key, &data, 0)) {
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||||||
|
case 0:
|
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|
bcopy(data.data, &n, sizeof(n));
|
||||||
return (n);
|
return (n);
|
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return((NODE *)NULL);
|
case 1:
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|
break;
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||||||
|
default:
|
||||||
|
case -1:
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||||||
|
err("db: get %s: %s", name, strerror(errno));
|
||||||
}
|
}
|
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|
|
||||||
/* Add a node to the graph and return a pointer to it. */
|
if ((n = malloc(sizeof(NODE) + key.size)) == NULL)
|
||||||
NODE *
|
err("%s", strerror(errno));
|
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add_node(name)
|
|
||||||
char *name;
|
|
||||||
{
|
|
||||||
register NODE *n;
|
|
||||||
int hash;
|
|
||||||
|
|
||||||
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;
|
n->n_narcs = 0;
|
||||||
n->n_arcsize = 0;
|
n->n_arcsize = 0;
|
||||||
n->n_arcs = (NODE **)NULL;
|
n->n_arcs = NULL;
|
||||||
n->n_refcnt = 0;
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n->n_refcnt = 0;
|
||||||
n->n_flags = 0;
|
n->n_flags = 0;
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||||||
|
bcopy(name, n->n_name, key.size);
|
||||||
|
|
||||||
/* add to linked list */
|
/* Add to linked list. */
|
||||||
if (n->n_next = graph)
|
if (n->n_next = graph)
|
||||||
graph->n_prevp = &n->n_next;
|
graph->n_prevp = &n->n_next;
|
||||||
n->n_prevp = &graph;
|
n->n_prevp = &graph;
|
||||||
graph = n;
|
graph = n;
|
||||||
|
|
||||||
/* add to hash table */
|
/* Add to hash table. */
|
||||||
hash = hash_string(name);
|
data.data = &n;
|
||||||
n->n_hash = hashtable[hash];
|
data.size = sizeof(n);
|
||||||
hashtable[hash] = n;
|
if ((*db->put)(db, &key, &data, 0))
|
||||||
|
err("db: put %s: %s", name, strerror(errno));
|
||||||
return (n);
|
return (n);
|
||||||
}
|
}
|
||||||
|
|
||||||
|
|
||||||
|
/*
|
||||||
|
* Clear the NODEST flag from all nodes.
|
||||||
|
*/
|
||||||
|
void
|
||||||
|
clear_cycle()
|
||||||
|
{
|
||||||
|
NODE *n;
|
||||||
|
|
||||||
|
for (n = graph; n; n = n->n_next)
|
||||||
|
n->n_flags &= ~NF_NODEST;
|
||||||
|
}
|
||||||
|
|
||||||
/* do topological sort on graph */
|
/* do topological sort on graph */
|
||||||
void
|
void
|
||||||
tsort()
|
tsort()
|
||||||
{
|
{
|
||||||
register NODE *n, *m, *next;
|
register NODE *n, *next;
|
||||||
register int cnt;
|
register int cnt;
|
||||||
|
|
||||||
while (graph) {
|
while (graph) {
|
||||||
/*
|
/*
|
||||||
* keep getting rid of simple cases until there are none left,
|
* Keep getting rid of simple cases until there are none left,
|
||||||
* if there are any nodes still in the graph, then there is
|
* if there are any nodes still in the graph, then there is
|
||||||
* a cycle in it.
|
* a cycle in it.
|
||||||
*/
|
*/
|
||||||
|
@ -301,43 +327,39 @@ tsort()
|
||||||
|
|
||||||
if (!cycle_buf) {
|
if (!cycle_buf) {
|
||||||
/*
|
/*
|
||||||
* allocate space for two cycle logs - one to be used
|
* Allocate space for two cycle logs - one to be used
|
||||||
* as scratch space, the other to save the longest
|
* as scratch space, the other to save the longest
|
||||||
* cycle.
|
* cycle.
|
||||||
*/
|
*/
|
||||||
for (cnt = 0, n = graph; n; n = n->n_next)
|
for (cnt = 0, n = graph; n; n = n->n_next)
|
||||||
++cnt;
|
++cnt;
|
||||||
cycle_buf =
|
cycle_buf = malloc((u_int)sizeof(NODE *) * cnt);
|
||||||
(NODE **)malloc((u_int)sizeof(NODE *) * cnt);
|
longest_cycle = malloc((u_int)sizeof(NODE *) * cnt);
|
||||||
longest_cycle =
|
if (cycle_buf == NULL || longest_cycle == NULL)
|
||||||
(NODE **)malloc((u_int)sizeof(NODE *) * cnt);
|
err("%s", strerror(errno));
|
||||||
if (!cycle_buf || !longest_cycle)
|
|
||||||
no_memory();
|
|
||||||
}
|
}
|
||||||
for (n = graph; n; n = n->n_next)
|
for (n = graph; n; n = n->n_next)
|
||||||
if (!(n->n_flags & NF_ACYCLIC)) {
|
if (!(n->n_flags & NF_ACYCLIC)) {
|
||||||
for (m=graph; m; m=m->n_next)
|
|
||||||
m->n_flags &= ~NF_MARK;
|
|
||||||
if (cnt = find_cycle(n, n, 0, 0)) {
|
if (cnt = find_cycle(n, n, 0, 0)) {
|
||||||
register int i;
|
register int i;
|
||||||
|
|
||||||
(void)fprintf(stderr,
|
(void)fprintf(stderr,
|
||||||
"tsort: cycle in data.\n");
|
"tsort: cycle in data\n");
|
||||||
for (i = 0; i < cnt; i++)
|
for (i = 0; i < cnt; i++)
|
||||||
(void)fprintf(stderr,
|
(void)fprintf(stderr,
|
||||||
"tsort: %s.\n", longest_cycle[i]->n_name);
|
"tsort: %s\n", longest_cycle[i]->n_name);
|
||||||
remove_node(n);
|
remove_node(n);
|
||||||
|
clear_cycle();
|
||||||
break;
|
break;
|
||||||
} else
|
} else {
|
||||||
/* to avoid further checks */
|
/* to avoid further checks */
|
||||||
n->n_flags = NF_ACYCLIC;
|
n->n_flags |= NF_ACYCLIC;
|
||||||
|
clear_cycle();
|
||||||
|
}
|
||||||
}
|
}
|
||||||
|
|
||||||
if (!n) {
|
if (!n)
|
||||||
(void)fprintf(stderr,
|
err("internal error -- could not find cycle");
|
||||||
"tsort: internal error -- could not find cycle.\n");
|
|
||||||
exit(1);
|
|
||||||
}
|
|
||||||
}
|
}
|
||||||
}
|
}
|
||||||
|
|
||||||
|
@ -358,7 +380,9 @@ remove_node(n)
|
||||||
n->n_next->n_prevp = n->n_prevp;
|
n->n_next->n_prevp = n->n_prevp;
|
||||||
}
|
}
|
||||||
|
|
||||||
/* look for a path from node from to node to. */
|
|
||||||
|
/* look for the longest? cycle from node from to node to. */
|
||||||
|
int
|
||||||
find_cycle(from, to, longest_len, depth)
|
find_cycle(from, to, longest_len, depth)
|
||||||
NODE *from, *to;
|
NODE *from, *to;
|
||||||
int depth, longest_len;
|
int depth, longest_len;
|
||||||
|
@ -370,9 +394,9 @@ find_cycle(from, to, longest_len, depth)
|
||||||
* avoid infinite loops and ignore portions of the graph known
|
* avoid infinite loops and ignore portions of the graph known
|
||||||
* to be acyclic
|
* to be acyclic
|
||||||
*/
|
*/
|
||||||
if (from->n_flags & (NF_MARK|NF_ACYCLIC))
|
if (from->n_flags & (NF_NODEST|NF_MARK|NF_ACYCLIC))
|
||||||
return (0);
|
return (0);
|
||||||
from->n_flags = NF_MARK;
|
from->n_flags |= NF_MARK;
|
||||||
|
|
||||||
for (np = from->n_arcs, i = from->n_narcs; --i >= 0; np++) {
|
for (np = from->n_arcs, i = from->n_narcs; --i >= 0; np++) {
|
||||||
cycle_buf[depth] = *np;
|
cycle_buf[depth] = *np;
|
||||||
|
@ -384,19 +408,60 @@ find_cycle(from, to, longest_len, depth)
|
||||||
longest_len * sizeof(NODE *));
|
longest_len * sizeof(NODE *));
|
||||||
}
|
}
|
||||||
} else {
|
} else {
|
||||||
|
if ((*np)->n_flags & (NF_MARK|NF_ACYCLIC|NF_NODEST))
|
||||||
|
continue;
|
||||||
len = find_cycle(*np, to, longest_len, depth + 1);
|
len = find_cycle(*np, to, longest_len, depth + 1);
|
||||||
if (len > longest_len) {
|
|
||||||
|
if (debug)
|
||||||
|
printf("%*s %s->%s %d\n", depth, "",
|
||||||
|
from->n_name, to->n_name, len);
|
||||||
|
|
||||||
|
if (len == 0)
|
||||||
|
(*np)->n_flags |= NF_NODEST;
|
||||||
|
|
||||||
|
if (len > longest_len)
|
||||||
longest_len = len;
|
longest_len = len;
|
||||||
|
|
||||||
|
if (len > 0 && !longest)
|
||||||
break;
|
break;
|
||||||
}
|
}
|
||||||
}
|
}
|
||||||
}
|
from->n_flags &= ~NF_MARK;
|
||||||
return (longest_len);
|
return (longest_len);
|
||||||
}
|
}
|
||||||
|
|
||||||
void
|
void
|
||||||
no_memory()
|
usage()
|
||||||
{
|
{
|
||||||
(void)fprintf(stderr, "tsort: %s.\n", strerror(ENOMEM));
|
(void)fprintf(stderr, "usage: tsort [-l] [file]\n");
|
||||||
exit(1);
|
exit(1);
|
||||||
}
|
}
|
||||||
|
|
||||||
|
#if __STDC__
|
||||||
|
#include <stdarg.h>
|
||||||
|
#else
|
||||||
|
#include <varargs.h>
|
||||||
|
#endif
|
||||||
|
|
||||||
|
void
|
||||||
|
#if __STDC__
|
||||||
|
err(const char *fmt, ...)
|
||||||
|
#else
|
||||||
|
err(fmt, va_alist)
|
||||||
|
char *fmt;
|
||||||
|
va_dcl
|
||||||
|
#endif
|
||||||
|
{
|
||||||
|
va_list ap;
|
||||||
|
#if __STDC__
|
||||||
|
va_start(ap, fmt);
|
||||||
|
#else
|
||||||
|
va_start(ap);
|
||||||
|
#endif
|
||||||
|
(void)fprintf(stderr, "tsort: ");
|
||||||
|
(void)vfprintf(stderr, fmt, ap);
|
||||||
|
va_end(ap);
|
||||||
|
(void)fprintf(stderr, "\n");
|
||||||
|
exit(1);
|
||||||
|
/* NOTREACHED */
|
||||||
|
}
|
||||||
|
|
Loading…
Reference in New Issue