1
2
3
4
5
6
7
8
9
10
11
12
13
14
15
16
17
18
19
20
21
22
23
24
25
26
27
28
29
30
31
32
33
34
35
36
37
38
39
40
41
42
43
44
45
46
47
48
49
50
51
52
53
54
55
56
57
58
59
60
61
62
63
64
65
66
67
68
69
70
71
72
73
74
75
76
77
78
79
80
81
82
83
84
85
86
87
88
89
90
91
92
93
94
95
96
97
98
99
100
101
102
103
104
105
106
107
108
109
110
111
112
113
114
115
116
117
118
119
120
121
122
123
124
125
126
127
128
129
130
131
132
133
134
135
136
137
138
139
140
141
142
143
144
145
146
147
148
149
150
151
152
153
154
155
156
157
158
159
160
161
162
163
164
165
166
167
168
169
170
171
172
173
174
175
176
177
178
179
180
181
182
183
184
185
186
187
188
189
190
191
192
193
194
195
196
197
198
199
200
201
202
203
204
205
206
207
208
209
210
211
212
213
214
215
216
217
218
219
220
221
222
223
224
225
226
227
228
229
230
231
232
233
234
235
236
237
238
239
240
241
242
243
244
245
246
247
248
249
250
251
252
253
254
255
256
257
258
259
260
261
262
263
264
265
266
267
268
269
270
271
272
273
274
275
276
277
278
279
280
281
282
283
284
285
286
287
288
289
290
291
292
293
294
295
296
297
298
299
300
301
302
303
304
305
306
307
308
309
310
311
312
313
314
315
316
317
318
319
320
321
322
323
324
325
326
327
328
329
330
331
332
333
334
335
336
337
338
339
340
341
342
343
344
345
346
347
348
349
350
351
352
353
354
355
356
357
358
359
360
361
362
363
364
365
366
367
368
369
370
371
372
373
374
375
376
377
378
379
380
381
382
383
384
385
386
387
388
389
390
391
392
393
394
395
396
397
398
399
400
401
402
403
404
405
406
407
408
409
410
411
412
413
414
415
416
417
418
419
420
421
422
423
424
425
426
427
428
429
430
431
432
433
434
435
436
437
438
439
440
441
442
443
444
445
446
447
448
449
450
451
452
453
454
455
456
457
458
459
460
461
462
463
464
465
466
467
468
469
470
471
472
473
474
475
476
477
478
479
480
481
482
483
484
485
486
487
488
489
490
491
|
/*-
* SPDX-License-Identifier: BSD-3-Clause
*
* Copyright (c) 1989, 1993, 1994
* The Regents of the University of California. All rights reserved.
*
* This code is derived from software contributed to Berkeley by
* Michael Rendell of Memorial University of Newfoundland.
*
* Redistribution and use in source and binary forms, with or without
* modification, are permitted provided that the following conditions
* are met:
* 1. Redistributions of source code must retain the above copyright
* notice, this list of conditions and the following disclaimer.
* 2. Redistributions in binary form must reproduce the above copyright
* notice, this list of conditions and the following disclaimer in the
* documentation and/or other materials provided with the distribution.
* 3. Neither the name of the University nor the names of its contributors
* may be used to endorse or promote products derived from this software
* without specific prior written permission.
*
* THIS SOFTWARE IS PROVIDED BY THE REGENTS AND CONTRIBUTORS ``AS IS'' AND
* ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE
* IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR PURPOSE
* ARE DISCLAIMED. IN NO EVENT SHALL THE REGENTS OR CONTRIBUTORS BE LIABLE
* FOR ANY DIRECT, INDIRECT, INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL
* DAMAGES (INCLUDING, BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS
* OR SERVICES; LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION)
* HOWEVER CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT
* LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY
* OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF
* SUCH DAMAGE.
*/
#ifndef lint
static const char copyright[] =
"@(#) Copyright (c) 1989, 1993, 1994\n\
The Regents of the University of California. All rights reserved.\n";
#endif /* not lint */
#ifndef lint
static const char sccsid[] = "@(#)tsort.c 8.3 (Berkeley) 5/4/95";
#endif /* not lint */
#include <sys/cdefs.h>
#include <sys/types.h>
#include <ctype.h>
#include <err.h>
#include <errno.h>
#include <fcntl.h>
#include <stdio.h>
#include <stdlib.h>
#include <string.h>
#include <unistd.h>
/*
* Topological sort. Input is a list of pairs of strings separated by
* white space (spaces, tabs, and/or newlines); strings are written to
* standard output in sorted order, one per line.
*
* usage:
* tsort [-dlq] [inputfile]
* If no input file is specified, standard input is read.
*
* Should be compatible with AT&T tsort HOWEVER the output is not identical
* (i.e. for most graphs there is more than one sorted order, and this tsort
* usually generates a different one then the AT&T tsort). Also, cycle
* reporting seems to be more accurate in this version (the AT&T tsort
* sometimes says a node is in a cycle when it isn't).
*
* Michael Rendell, michael@stretch.cs.mun.ca - Feb 26, '90
*/
#define NF_MARK 0x1 /* marker for cycle detection */
#define NF_ACYCLIC 0x2 /* this node is cycle free */
#define NF_NODEST 0x4 /* Unreachable */
typedef struct node_str NODE;
struct node_str {
NODE **n_prevp; /* pointer to previous node's n_next */
NODE *n_next; /* next node in graph */
NODE **n_arcs; /* array of arcs to other nodes */
int n_narcs; /* number of arcs in n_arcs[] */
int n_arcsize; /* size of n_arcs[] array */
int n_refcnt; /* # of arcs pointing to this node */
int n_flags; /* NF_* */
char n_name[1]; /* name of this node */
};
typedef struct _buf {
char *b_buf;
int b_bsize;
} BUF;
#define HASH_CHUNK_SIZE 64
#define HASH_BUCKET_COUNT 1024
struct hash_elem {
NODE *elem;
struct hash_elem *next;
};
struct hash_chunk {
struct hash_elem elems[HASH_CHUNK_SIZE];
struct hash_chunk *next;
};
struct hash {
struct hash_elem **elems;
struct hash_chunk *chunks;
struct hash_elem *top;
};
static void hash_init(struct hash *h) {
h->chunks = NULL;
h->top = NULL;
h->elems = calloc(1024, sizeof(struct hash_elem *));
}
static void hash_destroy(struct hash *h) {
for (size_t i = 0; i < HASH_BUCKET_COUNT; ++i) {
struct hash_elem *e = h->elems[i];
while (e) {
free(e->elem->n_arcs);
free(e->elem);
e = e->next;
}
}
free(h->elems);
while (h->chunks) {
struct hash_chunk *c = h->chunks;
h->chunks = h->chunks->next;
free(c);
}
}
static size_t hash_key(char *key) {
size_t h = 5381;
for (size_t i = 0, k; (k = key[i]); ++i)
h = ((h << 5) + h) ^ k;
return h;
}
static NODE *hash_find(struct hash *h, char *key) {
size_t hash = hash_key(key) & (HASH_BUCKET_COUNT - 1);
for (struct hash_elem *c = h->elems[hash]; c; c = c->next) {
if (!strcmp(key, c->elem->n_name))
return c->elem;
}
return NULL;
}
static struct hash_elem *hash_insert(struct hash *h, char *key) {
size_t hash = hash_key(key) & (HASH_BUCKET_COUNT - 1);
if (!h->top) {
struct hash_chunk *c = calloc(1, sizeof(struct hash_chunk));
c->next = h->chunks;
h->chunks = c;
for (size_t i = 0; i < (HASH_CHUNK_SIZE - 1); ++i)
c->elems[i].next = &c->elems[i + 1];
c->elems[HASH_CHUNK_SIZE - 1].next = h->top;
h->top = c->elems;
}
struct hash_elem *hc = h->top;
h->top = h->top->next;
hc->next = h->elems[hash];
h->elems[hash] = hc;
return hc;
}
static struct hash db;
static NODE *graph, **cycle_buf, **longest_cycle;
static int debug, longest, quiet;
static void add_arc(char *, char *);
static int find_cycle(NODE *, NODE *, int, int);
static NODE *get_node(char *);
static void *grow_buf(void *, size_t);
static void remove_node(NODE *);
static void clear_cycle(void);
static void tsort(void);
static void usage(void);
int
main(int argc, char *argv[])
{
BUF *b;
int c, n;
FILE *fp;
int bsize, ch, nused;
BUF bufs[2];
fp = NULL;
while ((ch = getopt(argc, argv, "dlq")) != -1)
switch (ch) {
case 'd':
debug = 1;
break;
case 'l':
longest = 1;
break;
case 'q':
quiet = 1;
break;
case '?':
default:
usage();
}
argc -= optind;
argv += optind;
switch (argc) {
case 0:
fp = stdin;
break;
case 1:
if ((fp = fopen(*argv, "r")) == NULL)
err(1, "%s", *argv);
break;
default:
usage();
}
for (b = bufs, n = 2; --n >= 0; b++)
b->b_buf = grow_buf(NULL, b->b_bsize = 1024);
hash_init(&db);
/* parse input and build the graph */
for (n = 0, c = getc(fp);;) {
while (c != EOF && isspace(c))
c = getc(fp);
if (c == EOF)
break;
nused = 0;
b = &bufs[n];
bsize = b->b_bsize;
do {
b->b_buf[nused++] = c;
if (nused == bsize)
b->b_buf = grow_buf(b->b_buf, bsize *= 2);
c = getc(fp);
} while (c != EOF && !isspace(c));
b->b_buf[nused] = '\0';
b->b_bsize = bsize;
if (n)
add_arc(bufs[0].b_buf, bufs[1].b_buf);
n = !n;
}
(void)fclose(fp);
if (n)
errx(1, "odd data count");
/* do the sort */
tsort();
hash_destroy(&db);
exit(0);
}
/* double the size of oldbuf and return a pointer to the new buffer. */
static void *
grow_buf(void *bp, size_t size)
{
if ((bp = realloc(bp, size)) == NULL)
err(1, NULL);
return (bp);
}
/*
* add an arc from node s1 to node s2 in the graph. If s1 or s2 are not in
* the graph, then add them.
*/
static void
add_arc(char *s1, char *s2)
{
NODE *n1;
NODE *n2;
int bsize, i;
n1 = get_node(s1);
if (!strcmp(s1, s2))
return;
n2 = get_node(s2);
/*
* Check if this arc is already here.
*/
for (i = 0; i < n1->n_narcs; i++)
if (n1->n_arcs[i] == n2)
return;
/*
* Add it.
*/
if (n1->n_narcs == n1->n_arcsize) {
if (!n1->n_arcsize)
n1->n_arcsize = 10;
bsize = n1->n_arcsize * sizeof(*n1->n_arcs) * 2;
n1->n_arcs = grow_buf(n1->n_arcs, bsize);
n1->n_arcsize = bsize / sizeof(*n1->n_arcs);
}
n1->n_arcs[n1->n_narcs++] = n2;
++n2->n_refcnt;
}
/* Find a node in the graph (insert if not found) and return a pointer to it. */
static NODE *
get_node(char *name)
{
NODE *n = hash_find(&db, name);
size_t nlen;
if (n)
return n;
nlen = strlen(name) + 1;
if ((n = malloc(sizeof(NODE) + nlen)) == NULL)
err(1, NULL);
n->n_narcs = 0;
n->n_arcsize = 0;
n->n_arcs = NULL;
n->n_refcnt = 0;
n->n_flags = 0;
bcopy(name, n->n_name, nlen);
/* Add to linked list. */
if ((n->n_next = graph) != NULL)
graph->n_prevp = &n->n_next;
n->n_prevp = &graph;
graph = n;
/* Add to hash table. */
hash_insert(&db, name)->elem = n;
return (n);
}
/*
* Clear the NODEST flag from all nodes.
*/
static void
clear_cycle(void)
{
NODE *n;
for (n = graph; n != NULL; n = n->n_next)
n->n_flags &= ~NF_NODEST;
}
/* do topological sort on graph */
static void
tsort(void)
{
NODE *n, *next;
int cnt, i;
while (graph != NULL) {
/*
* Keep getting rid of simple cases until there are none left,
* if there are any nodes still in the graph, then there is
* a cycle in it.
*/
do {
for (cnt = 0, n = graph; n != NULL; n = next) {
next = n->n_next;
if (n->n_refcnt == 0) {
remove_node(n);
++cnt;
}
}
} while (graph != NULL && cnt);
if (graph == NULL)
break;
if (!cycle_buf) {
/*
* Allocate space for two cycle logs - one to be used
* as scratch space, the other to save the longest
* cycle.
*/
for (cnt = 0, n = graph; n != NULL; n = n->n_next)
++cnt;
cycle_buf = malloc(sizeof(NODE *) * cnt);
longest_cycle = malloc(sizeof(NODE *) * cnt);
if (cycle_buf == NULL || longest_cycle == NULL)
err(1, NULL);
}
for (n = graph; n != NULL; n = n->n_next)
if (!(n->n_flags & NF_ACYCLIC)) {
if ((cnt = find_cycle(n, n, 0, 0))) {
if (!quiet) {
warnx("cycle in data");
for (i = 0; i < cnt; i++)
warnx("%s",
longest_cycle[i]->n_name);
}
remove_node(n);
clear_cycle();
break;
} else {
/* to avoid further checks */
n->n_flags |= NF_ACYCLIC;
clear_cycle();
}
}
if (n == NULL)
errx(1, "internal error -- could not find cycle");
}
}
/* print node and remove from graph (does not actually free node) */
static void
remove_node(NODE *n)
{
NODE **np;
int i;
(void)printf("%s\n", n->n_name);
for (np = n->n_arcs, i = n->n_narcs; --i >= 0; np++)
--(*np)->n_refcnt;
n->n_narcs = 0;
*n->n_prevp = n->n_next;
if (n->n_next)
n->n_next->n_prevp = n->n_prevp;
}
/* look for the longest? cycle from node from to node to. */
static int
find_cycle(NODE *from, NODE *to, int longest_len, int depth)
{
NODE **np;
int i, len;
/*
* avoid infinite loops and ignore portions of the graph known
* to be acyclic
*/
if (from->n_flags & (NF_NODEST|NF_MARK|NF_ACYCLIC))
return (0);
from->n_flags |= NF_MARK;
for (np = from->n_arcs, i = from->n_narcs; --i >= 0; np++) {
cycle_buf[depth] = *np;
if (*np == to) {
if (depth + 1 > longest_len) {
longest_len = depth + 1;
(void)memcpy((char *)longest_cycle,
(char *)cycle_buf,
longest_len * sizeof(NODE *));
}
} else {
if ((*np)->n_flags & (NF_MARK|NF_ACYCLIC|NF_NODEST))
continue;
len = find_cycle(*np, to, longest_len, depth + 1);
if (debug)
(void)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;
if (len > 0 && !longest)
break;
}
}
from->n_flags &= ~NF_MARK;
return (longest_len);
}
static void
usage(void)
{
(void)fprintf(stderr, "usage: tsort [-dlq] [file]\n");
exit(1);
}
|