chainlint: let here-doc and multi-line string commence on same line
[git/debian.git] / shallow.c
blob79439a818f52d5c783fbf003a7b9fa90bb0d1993
1 #include "cache.h"
2 #include "tempfile.h"
3 #include "lockfile.h"
4 #include "commit.h"
5 #include "tag.h"
6 #include "pkt-line.h"
7 #include "remote.h"
8 #include "refs.h"
9 #include "sha1-array.h"
10 #include "diff.h"
11 #include "revision.h"
12 #include "commit-slab.h"
13 #include "revision.h"
14 #include "list-objects.h"
15 #include "commit-slab.h"
17 static int is_shallow = -1;
18 static struct stat_validity shallow_stat;
19 static char *alternate_shallow_file;
21 void set_alternate_shallow_file(const char *path, int override)
23 if (is_shallow != -1)
24 BUG("is_repository_shallow must not be called before set_alternate_shallow_file");
25 if (alternate_shallow_file && !override)
26 return;
27 free(alternate_shallow_file);
28 alternate_shallow_file = xstrdup_or_null(path);
31 int register_shallow(const struct object_id *oid)
33 struct commit_graft *graft =
34 xmalloc(sizeof(struct commit_graft));
35 struct commit *commit = lookup_commit(oid);
37 oidcpy(&graft->oid, oid);
38 graft->nr_parent = -1;
39 if (commit && commit->object.parsed)
40 commit->parents = NULL;
41 return register_commit_graft(graft, 0);
44 int is_repository_shallow(void)
46 FILE *fp;
47 char buf[1024];
48 const char *path = alternate_shallow_file;
50 if (is_shallow >= 0)
51 return is_shallow;
53 if (!path)
54 path = git_path_shallow();
56 * fetch-pack sets '--shallow-file ""' as an indicator that no
57 * shallow file should be used. We could just open it and it
58 * will likely fail. But let's do an explicit check instead.
60 if (!*path || (fp = fopen(path, "r")) == NULL) {
61 stat_validity_clear(&shallow_stat);
62 is_shallow = 0;
63 return is_shallow;
65 stat_validity_update(&shallow_stat, fileno(fp));
66 is_shallow = 1;
68 while (fgets(buf, sizeof(buf), fp)) {
69 struct object_id oid;
70 if (get_oid_hex(buf, &oid))
71 die("bad shallow line: %s", buf);
72 register_shallow(&oid);
74 fclose(fp);
75 return is_shallow;
79 * TODO: use "int" elemtype instead of "int *" when/if commit-slab
80 * supports a "valid" flag.
82 define_commit_slab(commit_depth, int *);
83 struct commit_list *get_shallow_commits(struct object_array *heads, int depth,
84 int shallow_flag, int not_shallow_flag)
86 int i = 0, cur_depth = 0;
87 struct commit_list *result = NULL;
88 struct object_array stack = OBJECT_ARRAY_INIT;
89 struct commit *commit = NULL;
90 struct commit_graft *graft;
91 struct commit_depth depths;
93 init_commit_depth(&depths);
94 while (commit || i < heads->nr || stack.nr) {
95 struct commit_list *p;
96 if (!commit) {
97 if (i < heads->nr) {
98 int **depth_slot;
99 commit = (struct commit *)
100 deref_tag(heads->objects[i++].item, NULL, 0);
101 if (!commit || commit->object.type != OBJ_COMMIT) {
102 commit = NULL;
103 continue;
105 depth_slot = commit_depth_at(&depths, commit);
106 if (!*depth_slot)
107 *depth_slot = xmalloc(sizeof(int));
108 **depth_slot = 0;
109 cur_depth = 0;
110 } else {
111 commit = (struct commit *)
112 object_array_pop(&stack);
113 cur_depth = **commit_depth_at(&depths, commit);
116 parse_commit_or_die(commit);
117 cur_depth++;
118 if ((depth != INFINITE_DEPTH && cur_depth >= depth) ||
119 (is_repository_shallow() && !commit->parents &&
120 (graft = lookup_commit_graft(&commit->object.oid)) != NULL &&
121 graft->nr_parent < 0)) {
122 commit_list_insert(commit, &result);
123 commit->object.flags |= shallow_flag;
124 commit = NULL;
125 continue;
127 commit->object.flags |= not_shallow_flag;
128 for (p = commit->parents, commit = NULL; p; p = p->next) {
129 int **depth_slot = commit_depth_at(&depths, p->item);
130 if (!*depth_slot) {
131 *depth_slot = xmalloc(sizeof(int));
132 **depth_slot = cur_depth;
133 } else {
134 if (cur_depth >= **depth_slot)
135 continue;
136 **depth_slot = cur_depth;
138 if (p->next)
139 add_object_array(&p->item->object,
140 NULL, &stack);
141 else {
142 commit = p->item;
143 cur_depth = **commit_depth_at(&depths, commit);
147 for (i = 0; i < depths.slab_count; i++) {
148 int j;
150 for (j = 0; j < depths.slab_size; j++)
151 free(depths.slab[i][j]);
153 clear_commit_depth(&depths);
155 return result;
158 static void show_commit(struct commit *commit, void *data)
160 commit_list_insert(commit, data);
164 * Given rev-list arguments, run rev-list. All reachable commits
165 * except border ones are marked with not_shallow_flag. Border commits
166 * are marked with shallow_flag. The list of border/shallow commits
167 * are also returned.
169 struct commit_list *get_shallow_commits_by_rev_list(int ac, const char **av,
170 int shallow_flag,
171 int not_shallow_flag)
173 struct commit_list *result = NULL, *p;
174 struct commit_list *not_shallow_list = NULL;
175 struct rev_info revs;
176 int both_flags = shallow_flag | not_shallow_flag;
179 * SHALLOW (excluded) and NOT_SHALLOW (included) should not be
180 * set at this point. But better be safe than sorry.
182 clear_object_flags(both_flags);
184 is_repository_shallow(); /* make sure shallows are read */
186 init_revisions(&revs, NULL);
187 save_commit_buffer = 0;
188 setup_revisions(ac, av, &revs, NULL);
190 if (prepare_revision_walk(&revs))
191 die("revision walk setup failed");
192 traverse_commit_list(&revs, show_commit, NULL, &not_shallow_list);
194 if (!not_shallow_list)
195 die("no commits selected for shallow requests");
197 /* Mark all reachable commits as NOT_SHALLOW */
198 for (p = not_shallow_list; p; p = p->next)
199 p->item->object.flags |= not_shallow_flag;
202 * mark border commits SHALLOW + NOT_SHALLOW.
203 * We cannot clear NOT_SHALLOW right now. Imagine border
204 * commit A is processed first, then commit B, whose parent is
205 * A, later. If NOT_SHALLOW on A is cleared at step 1, B
206 * itself is considered border at step 2, which is incorrect.
208 for (p = not_shallow_list; p; p = p->next) {
209 struct commit *c = p->item;
210 struct commit_list *parent;
212 if (parse_commit(c))
213 die("unable to parse commit %s",
214 oid_to_hex(&c->object.oid));
216 for (parent = c->parents; parent; parent = parent->next)
217 if (!(parent->item->object.flags & not_shallow_flag)) {
218 c->object.flags |= shallow_flag;
219 commit_list_insert(c, &result);
220 break;
223 free_commit_list(not_shallow_list);
226 * Now we can clean up NOT_SHALLOW on border commits. Having
227 * both flags set can confuse the caller.
229 for (p = result; p; p = p->next) {
230 struct object *o = &p->item->object;
231 if ((o->flags & both_flags) == both_flags)
232 o->flags &= ~not_shallow_flag;
234 return result;
237 static void check_shallow_file_for_update(void)
239 if (is_shallow == -1)
240 BUG("shallow must be initialized by now");
242 if (!stat_validity_check(&shallow_stat, git_path_shallow()))
243 die("shallow file has changed since we read it");
246 #define SEEN_ONLY 1
247 #define VERBOSE 2
249 struct write_shallow_data {
250 struct strbuf *out;
251 int use_pack_protocol;
252 int count;
253 unsigned flags;
256 static int write_one_shallow(const struct commit_graft *graft, void *cb_data)
258 struct write_shallow_data *data = cb_data;
259 const char *hex = oid_to_hex(&graft->oid);
260 if (graft->nr_parent != -1)
261 return 0;
262 if (data->flags & SEEN_ONLY) {
263 struct commit *c = lookup_commit(&graft->oid);
264 if (!c || !(c->object.flags & SEEN)) {
265 if (data->flags & VERBOSE)
266 printf("Removing %s from .git/shallow\n",
267 oid_to_hex(&c->object.oid));
268 return 0;
271 data->count++;
272 if (data->use_pack_protocol)
273 packet_buf_write(data->out, "shallow %s", hex);
274 else {
275 strbuf_addstr(data->out, hex);
276 strbuf_addch(data->out, '\n');
278 return 0;
281 static int write_shallow_commits_1(struct strbuf *out, int use_pack_protocol,
282 const struct oid_array *extra,
283 unsigned flags)
285 struct write_shallow_data data;
286 int i;
287 data.out = out;
288 data.use_pack_protocol = use_pack_protocol;
289 data.count = 0;
290 data.flags = flags;
291 for_each_commit_graft(write_one_shallow, &data);
292 if (!extra)
293 return data.count;
294 for (i = 0; i < extra->nr; i++) {
295 strbuf_addstr(out, oid_to_hex(extra->oid + i));
296 strbuf_addch(out, '\n');
297 data.count++;
299 return data.count;
302 int write_shallow_commits(struct strbuf *out, int use_pack_protocol,
303 const struct oid_array *extra)
305 return write_shallow_commits_1(out, use_pack_protocol, extra, 0);
308 const char *setup_temporary_shallow(const struct oid_array *extra)
310 struct tempfile *temp;
311 struct strbuf sb = STRBUF_INIT;
313 if (write_shallow_commits(&sb, 0, extra)) {
314 temp = xmks_tempfile(git_path("shallow_XXXXXX"));
316 if (write_in_full(temp->fd, sb.buf, sb.len) < 0 ||
317 close_tempfile_gently(temp) < 0)
318 die_errno("failed to write to %s",
319 get_tempfile_path(temp));
320 strbuf_release(&sb);
321 return get_tempfile_path(temp);
324 * is_repository_shallow() sees empty string as "no shallow
325 * file".
327 return "";
330 void setup_alternate_shallow(struct lock_file *shallow_lock,
331 const char **alternate_shallow_file,
332 const struct oid_array *extra)
334 struct strbuf sb = STRBUF_INIT;
335 int fd;
337 fd = hold_lock_file_for_update(shallow_lock, git_path_shallow(),
338 LOCK_DIE_ON_ERROR);
339 check_shallow_file_for_update();
340 if (write_shallow_commits(&sb, 0, extra)) {
341 if (write_in_full(fd, sb.buf, sb.len) < 0)
342 die_errno("failed to write to %s",
343 get_lock_file_path(shallow_lock));
344 *alternate_shallow_file = get_lock_file_path(shallow_lock);
345 } else
347 * is_repository_shallow() sees empty string as "no
348 * shallow file".
350 *alternate_shallow_file = "";
351 strbuf_release(&sb);
354 static int advertise_shallow_grafts_cb(const struct commit_graft *graft, void *cb)
356 int fd = *(int *)cb;
357 if (graft->nr_parent == -1)
358 packet_write_fmt(fd, "shallow %s\n", oid_to_hex(&graft->oid));
359 return 0;
362 void advertise_shallow_grafts(int fd)
364 if (!is_repository_shallow())
365 return;
366 for_each_commit_graft(advertise_shallow_grafts_cb, &fd);
370 * mark_reachable_objects() should have been run prior to this and all
371 * reachable commits marked as "SEEN".
373 void prune_shallow(int show_only)
375 struct lock_file shallow_lock = LOCK_INIT;
376 struct strbuf sb = STRBUF_INIT;
377 int fd;
379 if (show_only) {
380 write_shallow_commits_1(&sb, 0, NULL, SEEN_ONLY | VERBOSE);
381 strbuf_release(&sb);
382 return;
384 fd = hold_lock_file_for_update(&shallow_lock, git_path_shallow(),
385 LOCK_DIE_ON_ERROR);
386 check_shallow_file_for_update();
387 if (write_shallow_commits_1(&sb, 0, NULL, SEEN_ONLY)) {
388 if (write_in_full(fd, sb.buf, sb.len) < 0)
389 die_errno("failed to write to %s",
390 get_lock_file_path(&shallow_lock));
391 commit_lock_file(&shallow_lock);
392 } else {
393 unlink(git_path_shallow());
394 rollback_lock_file(&shallow_lock);
396 strbuf_release(&sb);
399 struct trace_key trace_shallow = TRACE_KEY_INIT(SHALLOW);
402 * Step 1, split sender shallow commits into "ours" and "theirs"
403 * Step 2, clean "ours" based on .git/shallow
405 void prepare_shallow_info(struct shallow_info *info, struct oid_array *sa)
407 int i;
408 trace_printf_key(&trace_shallow, "shallow: prepare_shallow_info\n");
409 memset(info, 0, sizeof(*info));
410 info->shallow = sa;
411 if (!sa)
412 return;
413 ALLOC_ARRAY(info->ours, sa->nr);
414 ALLOC_ARRAY(info->theirs, sa->nr);
415 for (i = 0; i < sa->nr; i++) {
416 if (has_object_file(sa->oid + i)) {
417 struct commit_graft *graft;
418 graft = lookup_commit_graft(&sa->oid[i]);
419 if (graft && graft->nr_parent < 0)
420 continue;
421 info->ours[info->nr_ours++] = i;
422 } else
423 info->theirs[info->nr_theirs++] = i;
427 void clear_shallow_info(struct shallow_info *info)
429 free(info->ours);
430 free(info->theirs);
433 /* Step 4, remove non-existent ones in "theirs" after getting the pack */
435 void remove_nonexistent_theirs_shallow(struct shallow_info *info)
437 struct object_id *oid = info->shallow->oid;
438 int i, dst;
439 trace_printf_key(&trace_shallow, "shallow: remove_nonexistent_theirs_shallow\n");
440 for (i = dst = 0; i < info->nr_theirs; i++) {
441 if (i != dst)
442 info->theirs[dst] = info->theirs[i];
443 if (has_object_file(oid + info->theirs[i]))
444 dst++;
446 info->nr_theirs = dst;
449 define_commit_slab(ref_bitmap, uint32_t *);
451 #define POOL_SIZE (512 * 1024)
453 struct paint_info {
454 struct ref_bitmap ref_bitmap;
455 unsigned nr_bits;
456 char **pools;
457 char *free, *end;
458 unsigned pool_count;
461 static uint32_t *paint_alloc(struct paint_info *info)
463 unsigned nr = DIV_ROUND_UP(info->nr_bits, 32);
464 unsigned size = nr * sizeof(uint32_t);
465 void *p;
466 if (!info->pool_count || size > info->end - info->free) {
467 if (size > POOL_SIZE)
468 BUG("pool size too small for %d in paint_alloc()",
469 size);
470 info->pool_count++;
471 REALLOC_ARRAY(info->pools, info->pool_count);
472 info->free = xmalloc(POOL_SIZE);
473 info->pools[info->pool_count - 1] = info->free;
474 info->end = info->free + POOL_SIZE;
476 p = info->free;
477 info->free += size;
478 return p;
482 * Given a commit SHA-1, walk down to parents until either SEEN,
483 * UNINTERESTING or BOTTOM is hit. Set the id-th bit in ref_bitmap for
484 * all walked commits.
486 static void paint_down(struct paint_info *info, const struct object_id *oid,
487 unsigned int id)
489 unsigned int i, nr;
490 struct commit_list *head = NULL;
491 int bitmap_nr = DIV_ROUND_UP(info->nr_bits, 32);
492 size_t bitmap_size = st_mult(sizeof(uint32_t), bitmap_nr);
493 struct commit *c = lookup_commit_reference_gently(oid, 1);
494 uint32_t *tmp; /* to be freed before return */
495 uint32_t *bitmap;
497 if (!c)
498 return;
500 tmp = xmalloc(bitmap_size);
501 bitmap = paint_alloc(info);
502 memset(bitmap, 0, bitmap_size);
503 bitmap[id / 32] |= (1U << (id % 32));
504 commit_list_insert(c, &head);
505 while (head) {
506 struct commit_list *p;
507 struct commit *c = pop_commit(&head);
508 uint32_t **refs = ref_bitmap_at(&info->ref_bitmap, c);
510 /* XXX check "UNINTERESTING" from pack bitmaps if available */
511 if (c->object.flags & (SEEN | UNINTERESTING))
512 continue;
513 else
514 c->object.flags |= SEEN;
516 if (*refs == NULL)
517 *refs = bitmap;
518 else {
519 memcpy(tmp, *refs, bitmap_size);
520 for (i = 0; i < bitmap_nr; i++)
521 tmp[i] |= bitmap[i];
522 if (memcmp(tmp, *refs, bitmap_size)) {
523 *refs = paint_alloc(info);
524 memcpy(*refs, tmp, bitmap_size);
528 if (c->object.flags & BOTTOM)
529 continue;
531 if (parse_commit(c))
532 die("unable to parse commit %s",
533 oid_to_hex(&c->object.oid));
535 for (p = c->parents; p; p = p->next) {
536 if (p->item->object.flags & SEEN)
537 continue;
538 commit_list_insert(p->item, &head);
542 nr = get_max_object_index();
543 for (i = 0; i < nr; i++) {
544 struct object *o = get_indexed_object(i);
545 if (o && o->type == OBJ_COMMIT)
546 o->flags &= ~SEEN;
549 free(tmp);
552 static int mark_uninteresting(const char *refname, const struct object_id *oid,
553 int flags, void *cb_data)
555 struct commit *commit = lookup_commit_reference_gently(oid, 1);
556 if (!commit)
557 return 0;
558 commit->object.flags |= UNINTERESTING;
559 mark_parents_uninteresting(commit);
560 return 0;
563 static void post_assign_shallow(struct shallow_info *info,
564 struct ref_bitmap *ref_bitmap,
565 int *ref_status);
567 * Step 6(+7), associate shallow commits with new refs
569 * info->ref must be initialized before calling this function.
571 * If used is not NULL, it's an array of info->shallow->nr
572 * bitmaps. The n-th bit set in the m-th bitmap if ref[n] needs the
573 * m-th shallow commit from info->shallow.
575 * If used is NULL, "ours" and "theirs" are updated. And if ref_status
576 * is not NULL it's an array of ref->nr ints. ref_status[i] is true if
577 * the ref needs some shallow commits from either info->ours or
578 * info->theirs.
580 void assign_shallow_commits_to_refs(struct shallow_info *info,
581 uint32_t **used, int *ref_status)
583 struct object_id *oid = info->shallow->oid;
584 struct oid_array *ref = info->ref;
585 unsigned int i, nr;
586 int *shallow, nr_shallow = 0;
587 struct paint_info pi;
589 trace_printf_key(&trace_shallow, "shallow: assign_shallow_commits_to_refs\n");
590 ALLOC_ARRAY(shallow, info->nr_ours + info->nr_theirs);
591 for (i = 0; i < info->nr_ours; i++)
592 shallow[nr_shallow++] = info->ours[i];
593 for (i = 0; i < info->nr_theirs; i++)
594 shallow[nr_shallow++] = info->theirs[i];
597 * Prepare the commit graph to track what refs can reach what
598 * (new) shallow commits.
600 nr = get_max_object_index();
601 for (i = 0; i < nr; i++) {
602 struct object *o = get_indexed_object(i);
603 if (!o || o->type != OBJ_COMMIT)
604 continue;
606 o->flags &= ~(UNINTERESTING | BOTTOM | SEEN);
609 memset(&pi, 0, sizeof(pi));
610 init_ref_bitmap(&pi.ref_bitmap);
611 pi.nr_bits = ref->nr;
614 * "--not --all" to cut short the traversal if new refs
615 * connect to old refs. If not (e.g. force ref updates) it'll
616 * have to go down to the current shallow commits.
618 head_ref(mark_uninteresting, NULL);
619 for_each_ref(mark_uninteresting, NULL);
621 /* Mark potential bottoms so we won't go out of bound */
622 for (i = 0; i < nr_shallow; i++) {
623 struct commit *c = lookup_commit(&oid[shallow[i]]);
624 c->object.flags |= BOTTOM;
627 for (i = 0; i < ref->nr; i++)
628 paint_down(&pi, ref->oid + i, i);
630 if (used) {
631 int bitmap_size = DIV_ROUND_UP(pi.nr_bits, 32) * sizeof(uint32_t);
632 memset(used, 0, sizeof(*used) * info->shallow->nr);
633 for (i = 0; i < nr_shallow; i++) {
634 const struct commit *c = lookup_commit(&oid[shallow[i]]);
635 uint32_t **map = ref_bitmap_at(&pi.ref_bitmap, c);
636 if (*map)
637 used[shallow[i]] = xmemdupz(*map, bitmap_size);
640 * unreachable shallow commits are not removed from
641 * "ours" and "theirs". The user is supposed to run
642 * step 7 on every ref separately and not trust "ours"
643 * and "theirs" any more.
645 } else
646 post_assign_shallow(info, &pi.ref_bitmap, ref_status);
648 clear_ref_bitmap(&pi.ref_bitmap);
649 for (i = 0; i < pi.pool_count; i++)
650 free(pi.pools[i]);
651 free(pi.pools);
652 free(shallow);
655 struct commit_array {
656 struct commit **commits;
657 int nr, alloc;
660 static int add_ref(const char *refname, const struct object_id *oid,
661 int flags, void *cb_data)
663 struct commit_array *ca = cb_data;
664 ALLOC_GROW(ca->commits, ca->nr + 1, ca->alloc);
665 ca->commits[ca->nr] = lookup_commit_reference_gently(oid, 1);
666 if (ca->commits[ca->nr])
667 ca->nr++;
668 return 0;
671 static void update_refstatus(int *ref_status, int nr, uint32_t *bitmap)
673 unsigned int i;
674 if (!ref_status)
675 return;
676 for (i = 0; i < nr; i++)
677 if (bitmap[i / 32] & (1U << (i % 32)))
678 ref_status[i]++;
682 * Step 7, reachability test on "ours" at commit level
684 static void post_assign_shallow(struct shallow_info *info,
685 struct ref_bitmap *ref_bitmap,
686 int *ref_status)
688 struct object_id *oid = info->shallow->oid;
689 struct commit *c;
690 uint32_t **bitmap;
691 int dst, i, j;
692 int bitmap_nr = DIV_ROUND_UP(info->ref->nr, 32);
693 struct commit_array ca;
695 trace_printf_key(&trace_shallow, "shallow: post_assign_shallow\n");
696 if (ref_status)
697 memset(ref_status, 0, sizeof(*ref_status) * info->ref->nr);
699 /* Remove unreachable shallow commits from "theirs" */
700 for (i = dst = 0; i < info->nr_theirs; i++) {
701 if (i != dst)
702 info->theirs[dst] = info->theirs[i];
703 c = lookup_commit(&oid[info->theirs[i]]);
704 bitmap = ref_bitmap_at(ref_bitmap, c);
705 if (!*bitmap)
706 continue;
707 for (j = 0; j < bitmap_nr; j++)
708 if (bitmap[0][j]) {
709 update_refstatus(ref_status, info->ref->nr, *bitmap);
710 dst++;
711 break;
714 info->nr_theirs = dst;
716 memset(&ca, 0, sizeof(ca));
717 head_ref(add_ref, &ca);
718 for_each_ref(add_ref, &ca);
720 /* Remove unreachable shallow commits from "ours" */
721 for (i = dst = 0; i < info->nr_ours; i++) {
722 if (i != dst)
723 info->ours[dst] = info->ours[i];
724 c = lookup_commit(&oid[info->ours[i]]);
725 bitmap = ref_bitmap_at(ref_bitmap, c);
726 if (!*bitmap)
727 continue;
728 for (j = 0; j < bitmap_nr; j++)
729 if (bitmap[0][j] &&
730 /* Step 7, reachability test at commit level */
731 !in_merge_bases_many(c, ca.nr, ca.commits)) {
732 update_refstatus(ref_status, info->ref->nr, *bitmap);
733 dst++;
734 break;
737 info->nr_ours = dst;
739 free(ca.commits);
742 /* (Delayed) step 7, reachability test at commit level */
743 int delayed_reachability_test(struct shallow_info *si, int c)
745 if (si->need_reachability_test[c]) {
746 struct commit *commit = lookup_commit(&si->shallow->oid[c]);
748 if (!si->commits) {
749 struct commit_array ca;
751 memset(&ca, 0, sizeof(ca));
752 head_ref(add_ref, &ca);
753 for_each_ref(add_ref, &ca);
754 si->commits = ca.commits;
755 si->nr_commits = ca.nr;
758 si->reachable[c] = in_merge_bases_many(commit,
759 si->nr_commits,
760 si->commits);
761 si->need_reachability_test[c] = 0;
763 return si->reachable[c];