| File: | src/usr.bin/tsort/tsort.c |
| Warning: | line 906, column 3 Value stored to 'order' is never read |
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| 1 | /* $OpenBSD: tsort.c,v 1.37 2019/07/11 17:28:32 mestre Exp $ */ |
| 2 | /* ex:ts=8 sw=4: |
| 3 | * |
| 4 | * Copyright (c) 1999-2004 Marc Espie <espie@openbsd.org> |
| 5 | * |
| 6 | * Permission to use, copy, modify, and distribute this software for any |
| 7 | * purpose with or without fee is hereby granted, provided that the above |
| 8 | * copyright notice and this permission notice appear in all copies. |
| 9 | * |
| 10 | * THE SOFTWARE IS PROVIDED "AS IS" AND THE AUTHOR DISCLAIMS ALL WARRANTIES |
| 11 | * WITH REGARD TO THIS SOFTWARE INCLUDING ALL IMPLIED WARRANTIES OF |
| 12 | * MERCHANTABILITY AND FITNESS. IN NO EVENT SHALL THE AUTHOR BE LIABLE FOR |
| 13 | * ANY SPECIAL, DIRECT, INDIRECT, OR CONSEQUENTIAL DAMAGES OR ANY DAMAGES |
| 14 | * WHATSOEVER RESULTING FROM LOSS OF USE, DATA OR PROFITS, WHETHER IN AN |
| 15 | * ACTION OF CONTRACT, NEGLIGENCE OR OTHER TORTIOUS ACTION, ARISING OUT OF |
| 16 | * OR IN CONNECTION WITH THE USE OR PERFORMANCE OF THIS SOFTWARE. |
| 17 | */ |
| 18 | |
| 19 | #include <assert.h> |
| 20 | #include <ctype.h> |
| 21 | #include <err.h> |
| 22 | #include <limits.h> |
| 23 | #include <stddef.h> |
| 24 | #include <stdio.h> |
| 25 | #include <stdint.h> |
| 26 | #include <stdlib.h> |
| 27 | #include <string.h> |
| 28 | #include <unistd.h> |
| 29 | #include <ohash.h> |
| 30 | |
| 31 | /* The complexity of topological sorting is O(e), where e is the |
| 32 | * size of input. While reading input, vertices have to be identified, |
| 33 | * thus add the complexity of e keys retrieval among v keys using |
| 34 | * an appropriate data structure. This program uses open double hashing |
| 35 | * for that purpose. See Knuth for the expected complexity of double |
| 36 | * hashing (Brent variation should probably be used if v << e, as a user |
| 37 | * option). |
| 38 | * |
| 39 | * The algorithm used for longest cycle reporting is accurate, but somewhat |
| 40 | * expensive. It may need to build all free paths of the graph (a free |
| 41 | * path is a path that never goes twice through the same node), whose |
| 42 | * number can be as high as O(2^e). Usually, the number of free paths is |
| 43 | * much smaller though. This program's author does not believe that a |
| 44 | * significantly better worst-case complexity algorithm exists. |
| 45 | * |
| 46 | * In case of a hints file, the set of minimal nodes is maintained as a |
| 47 | * heap. The resulting complexity is O(e+v log v) for the worst case. |
| 48 | * The average should actually be near O(e). |
| 49 | * |
| 50 | * If the hints file is incomplete, there is some extra complexity incurred |
| 51 | * by make_transparent, which does propagate order values to unmarked |
| 52 | * nodes. In the worst case, make_transparent is O(e u), |
| 53 | * where u is the number of originally unmarked nodes. |
| 54 | * In practice, it is much faster. |
| 55 | * |
| 56 | * The simple topological sort algorithm detects cycles. This program |
| 57 | * goes further, breaking cycles through the use of simple heuristics. |
| 58 | * Each cycle break checks the whole set of nodes, hence if c cycles break |
| 59 | * are needed, this is an extra cost of O(c v). |
| 60 | * |
| 61 | * Possible heuristics are as follows: |
| 62 | * - break cycle at node with lowest number of predecessors (default case), |
| 63 | * - break longest cycle at node with lowest number of predecessors, |
| 64 | * - break cycle at next node from the hints file. |
| 65 | * |
| 66 | * Except for the hints file case, which sets an explicit constraint on |
| 67 | * which cycle to break, those heuristics locally result in the smallest |
| 68 | * number of broken edges. |
| 69 | * |
| 70 | * Those are admittedly greedy strategies, as is the selection of the next |
| 71 | * node from the hints file amongst equivalent candidates that is used for |
| 72 | * `stable' topological sorting. |
| 73 | */ |
| 74 | |
| 75 | #ifdef __GNUC__4 |
| 76 | #define UNUSED__attribute__((unused)) __attribute__((unused)) |
| 77 | #else |
| 78 | #define UNUSED__attribute__((unused)) |
| 79 | #endif |
| 80 | |
| 81 | struct node; |
| 82 | |
| 83 | /* The set of arcs from a given node is stored as a linked list. */ |
| 84 | struct link { |
| 85 | struct link *next; |
| 86 | struct node *node; |
| 87 | }; |
| 88 | |
| 89 | #define NO_ORDER(2147483647 *2U +1U) UINT_MAX(2147483647 *2U +1U) |
| 90 | |
| 91 | struct node { |
| 92 | unsigned int refs; /* Number of arcs left, coming into this node. |
| 93 | * Note that nodes with a null count can't |
| 94 | * be part of cycles. */ |
| 95 | unsigned int order; /* Order of nodes according to a hint file. */ |
| 96 | |
| 97 | struct link *arcs; /* List of forward arcs. */ |
| 98 | |
| 99 | /* Cycle detection algorithms build a free path of nodes. */ |
| 100 | struct node *from; /* Previous node in the current path. */ |
| 101 | struct link *traverse; /* Next link to traverse when backtracking. */ |
| 102 | unsigned int mark; /* Mark processed nodes in cycle discovery. */ |
| 103 | |
| 104 | char k[1]; /* Name of this node. */ |
| 105 | }; |
| 106 | |
| 107 | #define HASH_START9 9 |
| 108 | |
| 109 | struct array { |
| 110 | unsigned int entries; |
| 111 | struct node **t; |
| 112 | }; |
| 113 | |
| 114 | static void nodes_init(struct ohash *); |
| 115 | static struct node *node_lookup(struct ohash *, const char *, const char *); |
| 116 | static __dead__attribute__((__noreturn__)) void usage(void); |
| 117 | static struct node *new_node(const char *, const char *); |
| 118 | |
| 119 | static unsigned int read_pairs(FILE *, struct ohash *, int, |
| 120 | const char *, unsigned int, int); |
| 121 | static void split_nodes(struct ohash *, struct array *, struct array *); |
| 122 | static void make_transparent(struct ohash *); |
| 123 | static void insert_arc(struct node *, struct node *); |
| 124 | |
| 125 | #ifdef DEBUG |
| 126 | static void dump_node(struct node *); |
| 127 | static void dump_array(struct array *); |
| 128 | static void dump_hash(struct ohash *); |
| 129 | #endif |
| 130 | static unsigned int read_hints(FILE *, struct ohash *, int, |
| 131 | const char *, unsigned int); |
| 132 | static struct node *find_smallest_node(struct array *); |
| 133 | static struct node *find_good_cycle_break(struct array *); |
| 134 | static void print_cycle(struct array *); |
| 135 | static struct node *find_cycle_from(struct node *, struct array *); |
| 136 | static struct node *find_predecessor(struct array *, struct node *); |
| 137 | static unsigned int traverse_node(struct node *, unsigned int, struct array *); |
| 138 | static struct node *find_longest_cycle(struct array *, struct array *); |
| 139 | static struct node *find_normal_cycle(struct array *, struct array *); |
| 140 | |
| 141 | static void heap_down(struct array *, unsigned int); |
| 142 | static void heapify(struct array *, int); |
| 143 | static struct node *dequeue(struct array *); |
| 144 | static void enqueue(struct array *, struct node *); |
| 145 | |
| 146 | |
| 147 | |
| 148 | static void *hash_calloc(size_t, size_t, void *); |
| 149 | static void hash_free(void *, void *); |
| 150 | static void* entry_alloc(size_t, void *); |
| 151 | static void *ereallocarray(void *, size_t, size_t); |
| 152 | static void *emem(void *); |
| 153 | #define DEBUG_TRAVERSE0 0 |
| 154 | static struct ohash_info node_info = { |
| 155 | offsetof(struct node, k)__builtin_offsetof(struct node, k), NULL((void*)0), hash_calloc, hash_free, entry_alloc }; |
| 156 | static void parse_args(int, char *[], struct ohash *); |
| 157 | static int tsort(struct ohash *); |
| 158 | |
| 159 | static int quiet_flag, long_flag, |
| 160 | warn_flag, hints_flag, verbose_flag; |
| 161 | |
| 162 | |
| 163 | int main(int, char *[]); |
| 164 | |
| 165 | /*** |
| 166 | *** Memory handling. |
| 167 | ***/ |
| 168 | |
| 169 | static void * |
| 170 | emem(void *p) |
| 171 | { |
| 172 | if (p) |
| 173 | return p; |
| 174 | else |
| 175 | errx(1, "Memory exhausted"); |
| 176 | } |
| 177 | |
| 178 | static void * |
| 179 | hash_calloc(size_t n, size_t s, void *u UNUSED__attribute__((unused))) |
| 180 | { |
| 181 | return emem(calloc(n, s)); |
| 182 | } |
| 183 | |
| 184 | static void |
| 185 | hash_free(void *p, void *u UNUSED__attribute__((unused))) |
| 186 | { |
| 187 | free(p); |
| 188 | } |
| 189 | |
| 190 | static void * |
| 191 | entry_alloc(size_t s, void *u UNUSED__attribute__((unused))) |
| 192 | { |
| 193 | return ereallocarray(NULL((void*)0), 1, s); |
| 194 | } |
| 195 | |
| 196 | static void * |
| 197 | ereallocarray(void *p, size_t n, size_t s) |
| 198 | { |
| 199 | return emem(reallocarray(p, n, s)); |
| 200 | } |
| 201 | |
| 202 | |
| 203 | /*** |
| 204 | *** Hash table. |
| 205 | ***/ |
| 206 | |
| 207 | /* Inserting and finding nodes in the hash structure. |
| 208 | * We handle interval strings for efficiency wrt fgetln. */ |
| 209 | static struct node * |
| 210 | new_node(const char *start, const char *end) |
| 211 | { |
| 212 | struct node *n; |
| 213 | |
| 214 | n = ohash_create_entry(&node_info, start, &end); |
| 215 | n->from = NULL((void*)0); |
| 216 | n->arcs = NULL((void*)0); |
| 217 | n->refs = 0; |
| 218 | n->mark = 0; |
| 219 | n->order = NO_ORDER(2147483647 *2U +1U); |
| 220 | n->traverse = NULL((void*)0); |
| 221 | return n; |
| 222 | } |
| 223 | |
| 224 | |
| 225 | static void |
| 226 | nodes_init(struct ohash *h) |
| 227 | { |
| 228 | ohash_init(h, HASH_START9, &node_info); |
| 229 | } |
| 230 | |
| 231 | static struct node * |
| 232 | node_lookup(struct ohash *h, const char *start, const char *end) |
| 233 | { |
| 234 | unsigned int i; |
| 235 | struct node * n; |
| 236 | |
| 237 | i = ohash_qlookupi(h, start, &end); |
| 238 | |
| 239 | n = ohash_find(h, i); |
| 240 | if (n == NULL((void*)0)) |
| 241 | n = ohash_insert(h, i, new_node(start, end)); |
| 242 | return n; |
| 243 | } |
| 244 | |
| 245 | #ifdef DEBUG |
| 246 | static void |
| 247 | dump_node(struct node *n) |
| 248 | { |
| 249 | struct link *l; |
| 250 | |
| 251 | if (n->refs == 0) |
| 252 | return; |
| 253 | printf("%s (%u/%u): ", n->k, n->order, n->refs); |
| 254 | for (l = n->arcs; l != NULL((void*)0); l = l->next) |
| 255 | if (n->refs != 0) |
| 256 | printf("%s(%u/%u) ", l->node->k, l->node->order, l->node->refs); |
| 257 | putchar('\n')(!__isthreaded ? __sputc('\n', (&__sF[1])) : (putc)('\n', (&__sF[1]))); |
| 258 | } |
| 259 | |
| 260 | static void |
| 261 | dump_array(struct array *a) |
| 262 | { |
| 263 | unsigned int i; |
| 264 | |
| 265 | for (i = 0; i < a->entries; i++) |
| 266 | dump_node(a->t[i]); |
| 267 | } |
| 268 | |
| 269 | static void |
| 270 | dump_hash(struct ohash *h) |
| 271 | { |
| 272 | unsigned int i; |
| 273 | struct node *n; |
| 274 | |
| 275 | for (n = ohash_first(h, &i); n != NULL((void*)0); n = ohash_next(h, &i)) |
| 276 | dump_node(n); |
| 277 | } |
| 278 | #endif |
| 279 | |
| 280 | /*** |
| 281 | *** Reading data. |
| 282 | ***/ |
| 283 | |
| 284 | static void |
| 285 | insert_arc(struct node *a, struct node *b) |
| 286 | { |
| 287 | struct link *l; |
| 288 | |
| 289 | /* Check that this arc is not already present. */ |
| 290 | for (l = a->arcs; l != NULL((void*)0); l = l->next) { |
| 291 | if (l->node == b) |
| 292 | return; |
| 293 | } |
| 294 | b->refs++; |
| 295 | l = ereallocarray(NULL((void*)0), 1, sizeof(struct link)); |
| 296 | l->node = b; |
| 297 | l->next = a->arcs; |
| 298 | a->arcs = l; |
| 299 | } |
| 300 | |
| 301 | static unsigned int |
| 302 | read_pairs(FILE *f, struct ohash *h, int reverse, const char *name, |
| 303 | unsigned int order, int hint) |
| 304 | { |
| 305 | int toggle; |
| 306 | struct node *a; |
| 307 | size_t size; |
| 308 | char *str; |
| 309 | |
| 310 | toggle = 1; |
| 311 | a = NULL((void*)0); |
| 312 | |
| 313 | while ((str = fgetln(f, &size)) != NULL((void*)0)) { |
| 314 | char *sentinel; |
| 315 | |
| 316 | sentinel = str + size; |
| 317 | for (;;) { |
| 318 | char *e; |
| 319 | |
| 320 | while (str < sentinel && |
| 321 | isspace((unsigned char)*str)) |
| 322 | str++; |
| 323 | if (str == sentinel) |
| 324 | break; |
| 325 | for (e = str; |
| 326 | e < sentinel && !isspace((unsigned char)*e); e++) |
| 327 | continue; |
| 328 | if (toggle) { |
| 329 | a = node_lookup(h, str, e); |
| 330 | if (a->order == NO_ORDER(2147483647 *2U +1U) && hint) |
| 331 | a->order = order++; |
| 332 | } else { |
| 333 | struct node *b; |
| 334 | |
| 335 | b = node_lookup(h, str, e); |
| 336 | assert(a != NULL)((a != ((void*)0)) ? (void)0 : __assert2("/usr/src/usr.bin/tsort/tsort.c" , 336, __func__, "a != NULL")); |
| 337 | if (b != a) { |
| 338 | if (reverse) |
| 339 | insert_arc(b, a); |
| 340 | else |
| 341 | insert_arc(a, b); |
| 342 | } |
| 343 | } |
| 344 | toggle = !toggle; |
| 345 | str = e; |
| 346 | } |
| 347 | } |
| 348 | if (toggle == 0) |
| 349 | errx(1, "odd number of node names in %s", name); |
| 350 | if (!feof(f)(!__isthreaded ? (((f)->_flags & 0x0020) != 0) : (feof )(f))) |
| 351 | err(1, "error reading %s", name); |
| 352 | return order; |
| 353 | } |
| 354 | |
| 355 | static unsigned int |
| 356 | read_hints(FILE *f, struct ohash *h, int quiet, const char *name, |
| 357 | unsigned int order) |
| 358 | { |
| 359 | char *str; |
| 360 | size_t size; |
| 361 | |
| 362 | while ((str = fgetln(f, &size)) != NULL((void*)0)) { |
| 363 | char *sentinel; |
| 364 | |
| 365 | sentinel = str + size; |
| 366 | for (;;) { |
| 367 | char *e; |
| 368 | struct node *a; |
| 369 | |
| 370 | while (str < sentinel && isspace((unsigned char)*str)) |
| 371 | str++; |
| 372 | if (str == sentinel) |
| 373 | break; |
| 374 | for (e = str; |
| 375 | e < sentinel && !isspace((unsigned char)*e); e++) |
| 376 | continue; |
| 377 | a = node_lookup(h, str, e); |
| 378 | if (a->order != NO_ORDER(2147483647 *2U +1U)) { |
| 379 | if (!quiet) |
| 380 | warnx( |
| 381 | "duplicate node %s in hints file %s", |
| 382 | a->k, name); |
| 383 | } else |
| 384 | a->order = order++; |
| 385 | str = e; |
| 386 | } |
| 387 | } |
| 388 | if (!feof(f)(!__isthreaded ? (((f)->_flags & 0x0020) != 0) : (feof )(f))) |
| 389 | err(1, "error reading %s", name); |
| 390 | return order; |
| 391 | } |
| 392 | |
| 393 | |
| 394 | /*** |
| 395 | *** Standard heap handling routines. |
| 396 | ***/ |
| 397 | |
| 398 | static void |
| 399 | heap_down(struct array *h, unsigned int i) |
| 400 | { |
| 401 | unsigned int j; |
| 402 | struct node *swap; |
| 403 | |
| 404 | for (; (j=2*i+1) < h->entries; i = j) { |
| 405 | if (j+1 < h->entries && h->t[j+1]->order < h->t[j]->order) |
| 406 | j++; |
| 407 | if (h->t[i]->order <= h->t[j]->order) |
| 408 | break; |
| 409 | swap = h->t[i]; |
| 410 | h->t[i] = h->t[j]; |
| 411 | h->t[j] = swap; |
| 412 | } |
| 413 | } |
| 414 | |
| 415 | static void |
| 416 | heapify(struct array *h, int verbose) |
| 417 | { |
| 418 | unsigned int i; |
| 419 | |
| 420 | for (i = h->entries; i != 0;) { |
| 421 | if (h->t[--i]->order == NO_ORDER(2147483647 *2U +1U) && verbose) |
| 422 | warnx("node %s absent from hints file", h->t[i]->k); |
| 423 | heap_down(h, i); |
| 424 | } |
| 425 | } |
| 426 | |
| 427 | #define DEQUEUE(h)( hints_flag ? dequeue(h) : (h)->t[--(h)->entries] ) ( hints_flag ? dequeue(h) : (h)->t[--(h)->entries] ) |
| 428 | |
| 429 | static struct node * |
| 430 | dequeue(struct array *h) |
| 431 | { |
| 432 | struct node *n; |
| 433 | |
| 434 | if (h->entries == 0) |
| 435 | n = NULL((void*)0); |
| 436 | else { |
| 437 | n = h->t[0]; |
| 438 | if (--h->entries != 0) { |
| 439 | h->t[0] = h->t[h->entries]; |
| 440 | heap_down(h, 0); |
| 441 | } |
| 442 | } |
| 443 | return n; |
| 444 | } |
| 445 | |
| 446 | #define ENQUEUE(h, n)do { if (hints_flag) enqueue((h), (n)); else (h)->t[(h)-> entries++] = (n); } while(0); do { \ |
| 447 | if (hints_flag) \ |
| 448 | enqueue((h), (n)); \ |
| 449 | else \ |
| 450 | (h)->t[(h)->entries++] = (n); \ |
| 451 | } while(0); |
| 452 | |
| 453 | static void |
| 454 | enqueue(struct array *h, struct node *n) |
| 455 | { |
| 456 | unsigned int i, j; |
| 457 | struct node *swap; |
| 458 | |
| 459 | h->t[h->entries++] = n; |
| 460 | for (i = h->entries-1; i > 0; i = j) { |
| 461 | j = (i-1)/2; |
| 462 | if (h->t[j]->order < h->t[i]->order) |
| 463 | break; |
| 464 | swap = h->t[j]; |
| 465 | h->t[j] = h->t[i]; |
| 466 | h->t[i] = swap; |
| 467 | } |
| 468 | } |
| 469 | |
| 470 | /* Nodes without order should not hinder direct dependencies. |
| 471 | * Iterate until no nodes are left. |
| 472 | */ |
| 473 | static void |
| 474 | make_transparent(struct ohash *hash) |
| 475 | { |
| 476 | struct node *n; |
| 477 | unsigned int i; |
| 478 | struct link *l; |
| 479 | int adjusted; |
| 480 | int bad; |
| 481 | unsigned int min; |
| 482 | |
| 483 | /* first try to solve complete nodes */ |
| 484 | do { |
| 485 | adjusted = 0; |
| 486 | bad = 0; |
| 487 | for (n = ohash_first(hash, &i); n != NULL((void*)0); |
| 488 | n = ohash_next(hash, &i)) { |
| 489 | if (n->order == NO_ORDER(2147483647 *2U +1U)) { |
| 490 | min = NO_ORDER(2147483647 *2U +1U); |
| 491 | |
| 492 | for (l = n->arcs; l != NULL((void*)0); l = l->next) { |
| 493 | /* unsolved node -> delay resolution */ |
| 494 | if (l->node->order == NO_ORDER(2147483647 *2U +1U)) { |
| 495 | bad = 1; |
| 496 | break; |
| 497 | } else if (l->node->order < min) |
| 498 | min = l->node->order; |
| 499 | } |
| 500 | if (min < NO_ORDER(2147483647 *2U +1U) && l == NULL((void*)0)) { |
| 501 | n->order = min; |
| 502 | adjusted = 1; |
| 503 | } |
| 504 | } |
| 505 | } |
| 506 | |
| 507 | } while (adjusted); |
| 508 | |
| 509 | /* then, if incomplete nodes are left, do them */ |
| 510 | if (bad) do { |
| 511 | adjusted = 0; |
| 512 | for (n = ohash_first(hash, &i); n != NULL((void*)0); |
| 513 | n = ohash_next(hash, &i)) |
| 514 | if (n->order == NO_ORDER(2147483647 *2U +1U)) |
| 515 | for (l = n->arcs; l != NULL((void*)0); l = l->next) |
| 516 | if (l->node->order < n->order) { |
| 517 | n->order = l->node->order; |
| 518 | adjusted = 1; |
| 519 | } |
| 520 | } while (adjusted); |
| 521 | } |
| 522 | |
| 523 | |
| 524 | /*** |
| 525 | *** Search through hash array for nodes. |
| 526 | ***/ |
| 527 | |
| 528 | /* Split nodes into unrefed nodes/live nodes. */ |
| 529 | static void |
| 530 | split_nodes(struct ohash *hash, struct array *heap, struct array *remaining) |
| 531 | { |
| 532 | |
| 533 | struct node *n; |
| 534 | unsigned int i; |
| 535 | |
| 536 | heap->t = ereallocarray(NULL((void*)0), ohash_entries(hash), |
| 537 | sizeof(struct node *)); |
| 538 | remaining->t = ereallocarray(NULL((void*)0), ohash_entries(hash), |
| 539 | sizeof(struct node *)); |
| 540 | heap->entries = 0; |
| 541 | remaining->entries = 0; |
| 542 | |
| 543 | for (n = ohash_first(hash, &i); n != NULL((void*)0); n = ohash_next(hash, &i)) { |
| 544 | if (n->refs == 0) |
| 545 | heap->t[heap->entries++] = n; |
| 546 | else |
| 547 | remaining->t[remaining->entries++] = n; |
| 548 | } |
| 549 | } |
| 550 | |
| 551 | /* Good point to break a cycle: live node with as few refs as possible. */ |
| 552 | static struct node * |
| 553 | find_good_cycle_break(struct array *h) |
| 554 | { |
| 555 | unsigned int i; |
| 556 | unsigned int best; |
| 557 | struct node *u; |
| 558 | |
| 559 | best = UINT_MAX(2147483647 *2U +1U); |
| 560 | u = NULL((void*)0); |
| 561 | |
| 562 | assert(h->entries != 0)((h->entries != 0) ? (void)0 : __assert2("/usr/src/usr.bin/tsort/tsort.c" , 562, __func__, "h->entries != 0")); |
| 563 | for (i = 0; i < h->entries; i++) { |
| 564 | struct node *n = h->t[i]; |
| 565 | /* No need to look further. */ |
| 566 | if (n->refs == 1) |
| 567 | return n; |
| 568 | if (n->refs != 0 && n->refs < best) { |
| 569 | best = n->refs; |
| 570 | u = n; |
| 571 | } |
| 572 | } |
| 573 | assert(u != NULL)((u != ((void*)0)) ? (void)0 : __assert2("/usr/src/usr.bin/tsort/tsort.c" , 573, __func__, "u != NULL")); |
| 574 | return u; |
| 575 | } |
| 576 | |
| 577 | /* Retrieve the node with the smallest order. */ |
| 578 | static struct node * |
| 579 | find_smallest_node(struct array *h) |
| 580 | { |
| 581 | unsigned int i; |
| 582 | unsigned int best; |
| 583 | struct node *u; |
| 584 | |
| 585 | best = UINT_MAX(2147483647 *2U +1U); |
| 586 | u = NULL((void*)0); |
| 587 | |
| 588 | assert(h->entries != 0)((h->entries != 0) ? (void)0 : __assert2("/usr/src/usr.bin/tsort/tsort.c" , 588, __func__, "h->entries != 0")); |
| 589 | for (i = 0; i < h->entries; i++) { |
| 590 | struct node *n = h->t[i]; |
| 591 | if (n->refs != 0 && n->order < best) { |
| 592 | best = n->order; |
| 593 | u = n; |
| 594 | } |
| 595 | } |
| 596 | assert(u != NULL)((u != ((void*)0)) ? (void)0 : __assert2("/usr/src/usr.bin/tsort/tsort.c" , 596, __func__, "u != NULL")); |
| 597 | return u; |
| 598 | } |
| 599 | |
| 600 | |
| 601 | /*** |
| 602 | *** Graph algorithms. |
| 603 | ***/ |
| 604 | |
| 605 | /* Explore the nodes reachable from i to find a cycle, store it in c. |
| 606 | * This may fail. */ |
| 607 | static struct node * |
| 608 | find_cycle_from(struct node *i, struct array *c) |
| 609 | { |
| 610 | struct node *n; |
| 611 | |
| 612 | n = i; |
| 613 | /* XXX Previous cycle findings may have left this pointer non-null. */ |
| 614 | i->from = NULL((void*)0); |
| 615 | |
| 616 | for (;;) { |
| 617 | /* Note that all marks are reversed before this code exits. */ |
| 618 | n->mark = 1; |
| 619 | if (n->traverse) |
| 620 | n->traverse = n->traverse->next; |
| 621 | else |
| 622 | n->traverse = n->arcs; |
| 623 | /* Skip over dead nodes. */ |
| 624 | while (n->traverse && n->traverse->node->refs == 0) |
| 625 | n->traverse = n->traverse->next; |
| 626 | if (n->traverse) { |
| 627 | struct node *go = n->traverse->node; |
| 628 | |
| 629 | if (go->mark) { |
| 630 | c->entries = 0; |
| 631 | for (; n != NULL((void*)0) && n != go; n = n->from) { |
| 632 | c->t[c->entries++] = n; |
| 633 | n->mark = 0; |
| 634 | } |
| 635 | for (; n != NULL((void*)0); n = n->from) |
| 636 | n->mark = 0; |
| 637 | c->t[c->entries++] = go; |
| 638 | return go; |
| 639 | } else { |
| 640 | go->from = n; |
| 641 | n = go; |
| 642 | } |
| 643 | } else { |
| 644 | n->mark = 0; |
| 645 | n = n->from; |
| 646 | if (n == NULL((void*)0)) |
| 647 | return NULL((void*)0); |
| 648 | } |
| 649 | } |
| 650 | } |
| 651 | |
| 652 | /* Find a live predecessor of node n. This is a slow routine, as it needs |
| 653 | * to go through the whole array, but it is not needed often. |
| 654 | */ |
| 655 | static struct node * |
| 656 | find_predecessor(struct array *a, struct node *n) |
| 657 | { |
| 658 | unsigned int i; |
| 659 | |
| 660 | for (i = 0; i < a->entries; i++) { |
| 661 | struct node *m; |
| 662 | |
| 663 | m = a->t[i]; |
| 664 | if (m->refs != 0) { |
| 665 | struct link *l; |
| 666 | |
| 667 | for (l = m->arcs; l != NULL((void*)0); l = l->next) |
| 668 | if (l->node == n) |
| 669 | return m; |
| 670 | } |
| 671 | } |
| 672 | assert(1 == 0)((1 == 0) ? (void)0 : __assert2("/usr/src/usr.bin/tsort/tsort.c" , 672, __func__, "1 == 0")); |
| 673 | return NULL((void*)0); |
| 674 | } |
| 675 | |
| 676 | /* Traverse all strongly connected components reachable from node n. |
| 677 | Start numbering them at o. Return the maximum order reached. |
| 678 | Update the largest cycle found so far. |
| 679 | */ |
| 680 | static unsigned int |
| 681 | traverse_node(struct node *n, unsigned int o, struct array *c) |
| 682 | { |
| 683 | unsigned int min, max; |
| 684 | |
| 685 | n->from = NULL((void*)0); |
| 686 | min = o; |
| 687 | max = ++o; |
| 688 | |
| 689 | for (;;) { |
| 690 | n->mark = o; |
| 691 | if (DEBUG_TRAVERSE0) |
| 692 | printf("%s(%u) ", n->k, n->mark); |
| 693 | /* Find next arc to explore. */ |
| 694 | if (n->traverse) |
| 695 | n->traverse = n->traverse->next; |
| 696 | else |
| 697 | n->traverse = n->arcs; |
| 698 | /* Skip over dead nodes. */ |
| 699 | while (n->traverse && n->traverse->node->refs == 0) |
| 700 | n->traverse = n->traverse->next; |
| 701 | /* If arc left. */ |
| 702 | if (n->traverse) { |
| 703 | struct node *go; |
| 704 | |
| 705 | go = n->traverse->node; |
| 706 | /* Optimisation: if go->mark < min, we already |
| 707 | * visited this strongly-connected component in |
| 708 | * a previous pass. Hence, this can yield no new |
| 709 | * cycle. */ |
| 710 | |
| 711 | /* Not part of the current path: go for it. */ |
| 712 | if (go->mark == 0 || go->mark == min) { |
| 713 | go->from = n; |
| 714 | n = go; |
| 715 | o++; |
| 716 | if (o > max) |
| 717 | max = o; |
| 718 | /* Part of the current path: check cycle length. */ |
| 719 | } else if (go->mark > min) { |
| 720 | if (DEBUG_TRAVERSE0) |
| 721 | printf("%d\n", o - go->mark + 1); |
| 722 | if (o - go->mark + 1 > c->entries) { |
| 723 | struct node *t; |
| 724 | unsigned int i; |
| 725 | |
| 726 | c->entries = o - go->mark + 1; |
| 727 | i = 0; |
| 728 | c->t[i++] = go; |
| 729 | for (t = n; t != go; t = t->from) |
| 730 | c->t[i++] = t; |
| 731 | } |
| 732 | } |
| 733 | |
| 734 | /* No arc left: backtrack. */ |
| 735 | } else { |
| 736 | n->mark = min; |
| 737 | n = n->from; |
| 738 | if (!n) |
| 739 | return max; |
| 740 | o--; |
| 741 | } |
| 742 | } |
| 743 | } |
| 744 | |
| 745 | static void |
| 746 | print_cycle(struct array *c) |
| 747 | { |
| 748 | unsigned int i; |
| 749 | |
| 750 | /* Printing in reverse order, since cycle discoveries finds reverse |
| 751 | * edges. */ |
| 752 | for (i = c->entries; i != 0;) { |
| 753 | i--; |
| 754 | warnx("%s", c->t[i]->k); |
| 755 | } |
| 756 | } |
| 757 | |
| 758 | static struct node * |
| 759 | find_longest_cycle(struct array *h, struct array *c) |
| 760 | { |
| 761 | unsigned int i; |
| 762 | unsigned int o; |
| 763 | unsigned int best; |
| 764 | struct node *n; |
| 765 | static int notfirst = 0; |
| 766 | |
| 767 | assert(h->entries != 0)((h->entries != 0) ? (void)0 : __assert2("/usr/src/usr.bin/tsort/tsort.c" , 767, __func__, "h->entries != 0")); |
| 768 | |
| 769 | /* No cycle found yet. */ |
| 770 | c->entries = 0; |
| 771 | |
| 772 | /* Reset the set of marks, except the first time around. */ |
| 773 | if (notfirst) { |
| 774 | for (i = 0; i < h->entries; i++) |
| 775 | h->t[i]->mark = 0; |
| 776 | } else |
| 777 | notfirst = 1; |
| 778 | |
| 779 | o = 0; |
| 780 | |
| 781 | /* Traverse the array. Each unmarked, live node heralds a |
| 782 | * new set of strongly connected components. */ |
| 783 | for (i = 0; i < h->entries; i++) { |
| 784 | n = h->t[i]; |
| 785 | if (n->refs != 0 && n->mark == 0) { |
| 786 | /* Each call to traverse_node uses a separate |
| 787 | * interval of numbers to mark nodes. */ |
| 788 | o++; |
| 789 | o = traverse_node(n, o, c); |
| 790 | } |
| 791 | } |
| 792 | |
| 793 | assert(c->entries != 0)((c->entries != 0) ? (void)0 : __assert2("/usr/src/usr.bin/tsort/tsort.c" , 793, __func__, "c->entries != 0")); |
| 794 | n = c->t[0]; |
| 795 | best = n->refs; |
| 796 | for (i = 0; i < c->entries; i++) { |
| 797 | if (c->t[i]->refs < best) { |
| 798 | n = c->t[i]; |
| 799 | best = n->refs; |
| 800 | } |
| 801 | } |
| 802 | return n; |
| 803 | } |
| 804 | |
| 805 | static struct node * |
| 806 | find_normal_cycle(struct array *h, struct array *c) |
| 807 | { |
| 808 | struct node *b, *n; |
| 809 | |
| 810 | if (hints_flag) |
| 811 | n = find_smallest_node(h); |
| 812 | else |
| 813 | n = find_good_cycle_break(h); |
| 814 | while ((b = find_cycle_from(n, c)) == NULL((void*)0)) |
| 815 | n = find_predecessor(h, n); |
| 816 | return b; |
| 817 | } |
| 818 | |
| 819 | |
| 820 | #define plural(n)((n) > 1 ? "s" : "") ((n) > 1 ? "s" : "") |
| 821 | |
| 822 | static void |
| 823 | parse_args(int argc, char *argv[], struct ohash *pairs) |
| 824 | { |
| 825 | int c; |
| 826 | unsigned int order; |
| 827 | int reverse_flag; |
| 828 | const char **files; |
| 829 | int i, j; |
| 830 | |
| 831 | i = 0; |
| 832 | |
| 833 | reverse_flag = quiet_flag = long_flag = |
| 834 | warn_flag = hints_flag = verbose_flag = 0; |
| 835 | /* argc is good enough, as we start at argv[1] */ |
| 836 | files = ereallocarray(NULL((void*)0), argc, sizeof (char *)); |
| 837 | while ((c = getopt(argc, argv, "h:flqrvw")) != -1) { |
| 838 | switch(c) { |
| 839 | case 'h': |
| 840 | files[i++] = optarg; |
| 841 | hints_flag = 1; |
| 842 | break; |
| 843 | /*FALLTHRU*/ |
| 844 | case 'f': |
| 845 | hints_flag = 2; |
| 846 | break; |
| 847 | case 'l': |
| 848 | long_flag = 1; |
| 849 | break; |
| 850 | case 'q': |
| 851 | quiet_flag = 1; |
| 852 | break; |
| 853 | case 'r': |
| 854 | reverse_flag = 1; |
| 855 | break; |
| 856 | case 'v': |
| 857 | verbose_flag = 1; |
| 858 | break; |
| 859 | case 'w': |
| 860 | warn_flag = 1; |
| 861 | break; |
| 862 | default: |
| 863 | usage(); |
| 864 | } |
| 865 | } |
| 866 | |
| 867 | argc -= optind; |
| 868 | argv += optind; |
| 869 | |
| 870 | switch(argc) { |
| 871 | case 1: |
| 872 | files[i++] = argv[0]; |
| 873 | break; |
| 874 | case 0: |
| 875 | break; |
| 876 | default: |
| 877 | usage(); |
| 878 | } |
| 879 | |
| 880 | files[i] = NULL((void*)0); |
| 881 | |
| 882 | nodes_init(pairs); |
| 883 | order = 0; |
| 884 | |
| 885 | for (j = 0; j != i-argc; j++) { |
| 886 | FILE *f; |
| 887 | |
| 888 | f = fopen(files[j], "r"); |
| 889 | if (f == NULL((void*)0)) |
| 890 | err(1, "Can't open hint file %s", files[i]); |
| 891 | order = read_hints(f, pairs, quiet_flag, files[i], order); |
| 892 | fclose(f); |
| 893 | } |
| 894 | free(files); |
| 895 | |
| 896 | if (argc == 1) { |
| 897 | FILE *f; |
| 898 | |
| 899 | f = fopen(argv[0], "r"); |
| 900 | if (f == NULL((void*)0)) |
| 901 | err(1, "Can't open file %s", argv[0]); |
| 902 | order = read_pairs(f, pairs, reverse_flag, argv[0], order, |
| 903 | hints_flag == 2); |
| 904 | fclose(f); |
| 905 | } else { |
| 906 | order = read_pairs(stdin(&__sF[0]), pairs, reverse_flag, "stdin", |
Value stored to 'order' is never read | |
| 907 | order, hints_flag == 2); |
| 908 | } |
| 909 | } |
| 910 | |
| 911 | static int |
| 912 | tsort(struct ohash *pairs) |
| 913 | { |
| 914 | struct array aux; /* Unrefed nodes/cycle reporting. */ |
| 915 | struct array remaining; |
| 916 | unsigned int broken_arcs, broken_cycles; |
| 917 | unsigned int left; |
| 918 | |
| 919 | broken_arcs = 0; |
| 920 | broken_cycles = 0; |
| 921 | |
| 922 | if (hints_flag) |
| 923 | make_transparent(pairs); |
| 924 | split_nodes(pairs, &aux, &remaining); |
| 925 | ohash_delete(pairs); |
| 926 | |
| 927 | if (hints_flag) |
| 928 | heapify(&aux, verbose_flag); |
| 929 | |
| 930 | left = remaining.entries + aux.entries; |
| 931 | while (left != 0) { |
| 932 | |
| 933 | /* Standard topological sort. */ |
| 934 | while (aux.entries) { |
| 935 | struct link *l; |
| 936 | struct node *n; |
| 937 | |
| 938 | n = DEQUEUE(&aux)( hints_flag ? dequeue(&aux) : (&aux)->t[--(&aux )->entries] ); |
| 939 | printf("%s\n", n->k); |
| 940 | left--; |
| 941 | /* We can't free nodes, as we don't know which |
| 942 | * entry we can remove in the hash table. We |
| 943 | * rely on refs == 0 to recognize live nodes. |
| 944 | * Decrease ref count of live nodes, enter new |
| 945 | * candidates into the unrefed list. */ |
| 946 | for (l = n->arcs; l != NULL((void*)0); l = l->next) |
| 947 | if (l->node->refs != 0 && |
| 948 | --l->node->refs == 0) { |
| 949 | ENQUEUE(&aux, l->node)do { if (hints_flag) enqueue((&aux), (l->node)); else ( &aux)->t[(&aux)->entries++] = (l->node); } while (0);; |
| 950 | } |
| 951 | } |
| 952 | /* There are still cycles to break. */ |
| 953 | if (left != 0) { |
| 954 | struct node *n; |
| 955 | |
| 956 | broken_cycles++; |
| 957 | /* XXX Simple cycle detection and long cycle |
| 958 | * detection are mutually exclusive. */ |
| 959 | |
| 960 | if (long_flag) |
| 961 | n = find_longest_cycle(&remaining, &aux); |
| 962 | else |
| 963 | n = find_normal_cycle(&remaining, &aux); |
| 964 | |
| 965 | if (!quiet_flag) { |
| 966 | warnx("cycle in data"); |
| 967 | print_cycle(&aux); |
| 968 | } |
| 969 | |
| 970 | if (verbose_flag) |
| 971 | warnx("%u edge%s broken", n->refs, |
| 972 | plural(n->refs)((n->refs) > 1 ? "s" : "")); |
| 973 | broken_arcs += n->refs; |
| 974 | n->refs = 0; |
| 975 | /* Reinitialization, cycle reporting uses aux. */ |
| 976 | aux.t[0] = n; |
| 977 | aux.entries = 1; |
| 978 | } |
| 979 | } |
| 980 | if (verbose_flag && broken_cycles != 0) |
| 981 | warnx("%u cycle%s broken, for a total of %u edge%s", |
| 982 | broken_cycles, plural(broken_cycles)((broken_cycles) > 1 ? "s" : ""), |
| 983 | broken_arcs, plural(broken_arcs)((broken_arcs) > 1 ? "s" : "")); |
| 984 | if (warn_flag) |
| 985 | return (broken_cycles < 256 ? broken_cycles : 255); |
| 986 | else |
| 987 | return (0); |
| 988 | } |
| 989 | |
| 990 | int |
| 991 | main(int argc, char *argv[]) |
| 992 | { |
| 993 | struct ohash pairs; |
| 994 | |
| 995 | if (pledge("stdio rpath", NULL((void*)0)) == -1) |
| 996 | err(1, "pledge"); |
| 997 | |
| 998 | parse_args(argc, argv, &pairs); |
| 999 | |
| 1000 | if (pledge("stdio", NULL((void*)0)) == -1) |
| 1001 | err(1, "pledge"); |
| 1002 | |
| 1003 | return tsort(&pairs); |
| 1004 | } |
| 1005 | |
| 1006 | |
| 1007 | extern char *__progname; |
| 1008 | |
| 1009 | static void |
| 1010 | usage(void) |
| 1011 | { |
| 1012 | fprintf(stderr(&__sF[2]), "Usage: %s [-flqrvw] [-h file] [file]\n", __progname); |
| 1013 | exit(1); |
| 1014 | } |