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917bbcab 1/* ET-trees data structure implementation.
5dd29ee7 2 Contributed by Pavel Nejedly
a8349c62 3 Copyright (C) 2002, 2003, 2004 Free Software Foundation, Inc.
5dd29ee7 4
5This file is part of the libiberty library.
6Libiberty is free software; you can redistribute it and/or
7modify it under the terms of the GNU Library General Public
8License as published by the Free Software Foundation; either
9version 2 of the License, or (at your option) any later version.
10
11Libiberty is distributed in the hope that it will be useful,
12but WITHOUT ANY WARRANTY; without even the implied warranty of
13MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the GNU
14Library General Public License for more details.
15
16You should have received a copy of the GNU Library General Public
17License along with libiberty; see the file COPYING.LIB. If
18not, write to the Free Software Foundation, Inc., 59 Temple Place - Suite 330,
35cb5232 19Boston, MA 02111-1307, USA.
5dd29ee7 20
21 The ET-forest structure is described in:
22 D. D. Sleator and R. E. Tarjan. A data structure for dynamic trees.
23 J. G'omput. System Sci., 26(3):362 381, 1983.
24*/
25
26#include "config.h"
27#include "system.h"
805e22b2 28#include "coretypes.h"
29#include "tm.h"
5dd29ee7 30#include "et-forest.h"
b694b261 31#include "alloc-pool.h"
5dd29ee7 32
0051c76a 33/* We do not enable this with ENABLE_CHECKING, since it is awfully slow. */
34#undef DEBUG_ET
5dd29ee7 35
0051c76a 36#ifdef DEBUG_ET
37#include "basic-block.h"
38#endif
5dd29ee7 39
4885b286 40/* The occurrence of a node in the et tree. */
0051c76a 41struct et_occ
5dd29ee7 42{
0051c76a 43 struct et_node *of; /* The node. */
44
45 struct et_occ *parent; /* Parent in the splay-tree. */
46 struct et_occ *prev; /* Left son in the splay-tree. */
47 struct et_occ *next; /* Right son in the splay-tree. */
48
49 int depth; /* The depth of the node is the sum of depth
50 fields on the path to the root. */
51 int min; /* The minimum value of the depth in the subtree
52 is obtained by adding sum of depth fields
53 on the path to the root. */
4885b286 54 struct et_occ *min_occ; /* The occurrence in the subtree with the minimal
0051c76a 55 depth. */
56};
5dd29ee7 57
0051c76a 58static alloc_pool et_nodes;
23c09675 59static alloc_pool et_occurrences;
5dd29ee7 60
0051c76a 61/* Changes depth of OCC to D. */
5dd29ee7 62
0051c76a 63static inline void
64set_depth (struct et_occ *occ, int d)
65{
66 if (!occ)
67 return;
5dd29ee7 68
0051c76a 69 occ->min += d - occ->depth;
70 occ->depth = d;
71}
5dd29ee7 72
0051c76a 73/* Adds D to the depth of OCC. */
5dd29ee7 74
0051c76a 75static inline void
76set_depth_add (struct et_occ *occ, int d)
5dd29ee7 77{
0051c76a 78 if (!occ)
79 return;
5dd29ee7 80
0051c76a 81 occ->min += d;
82 occ->depth += d;
83}
5dd29ee7 84
0051c76a 85/* Sets prev field of OCC to P. */
5dd29ee7 86
0051c76a 87static inline void
88set_prev (struct et_occ *occ, struct et_occ *t)
5dd29ee7 89{
0051c76a 90#ifdef DEBUG_ET
91 if (occ == t)
92 abort ();
93#endif
5dd29ee7 94
0051c76a 95 occ->prev = t;
96 if (t)
97 t->parent = occ;
5dd29ee7 98}
99
0051c76a 100/* Sets next field of OCC to P. */
101
102static inline void
103set_next (struct et_occ *occ, struct et_occ *t)
5dd29ee7 104{
0051c76a 105#ifdef DEBUG_ET
106 if (occ == t)
107 abort ();
108#endif
109
110 occ->next = t;
111 if (t)
112 t->parent = occ;
5dd29ee7 113}
114
4885b286 115/* Recompute minimum for occurrence OCC. */
5dd29ee7 116
0051c76a 117static inline void
118et_recomp_min (struct et_occ *occ)
5dd29ee7 119{
0051c76a 120 struct et_occ *mson = occ->prev;
5dd29ee7 121
0051c76a 122 if (!mson
123 || (occ->next
124 && mson->min > occ->next->min))
125 mson = occ->next;
5dd29ee7 126
0051c76a 127 if (mson && mson->min < 0)
128 {
129 occ->min = mson->min + occ->depth;
130 occ->min_occ = mson->min_occ;
131 }
132 else
133 {
134 occ->min = occ->depth;
135 occ->min_occ = occ;
136 }
137}
5dd29ee7 138
0051c76a 139#ifdef DEBUG_ET
140/* Checks whether neighbourhood of OCC seems sane. */
5dd29ee7 141
0051c76a 142static void
143et_check_occ_sanity (struct et_occ *occ)
144{
145 if (!occ)
146 return;
5dd29ee7 147
0051c76a 148 if (occ->parent == occ)
149 abort ();
5dd29ee7 150
0051c76a 151 if (occ->prev == occ)
152 abort ();
35cb5232 153
0051c76a 154 if (occ->next == occ)
155 abort ();
5dd29ee7 156
0051c76a 157 if (occ->next && occ->next == occ->prev)
158 abort ();
5dd29ee7 159
0051c76a 160 if (occ->next)
5dd29ee7 161 {
0051c76a 162 if (occ->next == occ->parent)
163 abort ();
164
165 if (occ->next->parent != occ)
166 abort ();
35cb5232 167 }
0051c76a 168
169 if (occ->prev)
5dd29ee7 170 {
0051c76a 171 if (occ->prev == occ->parent)
172 abort ();
173
174 if (occ->prev->parent != occ)
175 abort ();
5dd29ee7 176 }
177
0051c76a 178 if (occ->parent
179 && occ->parent->prev != occ
180 && occ->parent->next != occ)
181 abort ();
5dd29ee7 182}
183
0051c76a 184/* Checks whether tree rooted at OCC is sane. */
185
5dd29ee7 186static void
0051c76a 187et_check_sanity (struct et_occ *occ)
5dd29ee7 188{
0051c76a 189 et_check_occ_sanity (occ);
190 if (occ->prev)
191 et_check_sanity (occ->prev);
192 if (occ->next)
193 et_check_sanity (occ->next);
194}
5dd29ee7 195
0051c76a 196/* Checks whether tree containing OCC is sane. */
5dd29ee7 197
0051c76a 198static void
199et_check_tree_sanity (struct et_occ *occ)
200{
201 while (occ->parent)
202 occ = occ->parent;
5dd29ee7 203
0051c76a 204 et_check_sanity (occ);
205}
5dd29ee7 206
0051c76a 207/* For recording the paths. */
5dd29ee7 208
4ee9c684 209/* An ad-hoc constant; if the function has more blocks, this won't work,
210 but since it is used for debugging only, it does not matter. */
211#define MAX_NODES 100000
212
0051c76a 213static int len;
4ee9c684 214static void *datas[MAX_NODES];
215static int depths[MAX_NODES];
5dd29ee7 216
0051c76a 217/* Records the path represented by OCC, with depth incremented by DEPTH. */
5dd29ee7 218
0051c76a 219static int
220record_path_before_1 (struct et_occ *occ, int depth)
221{
222 int mn, m;
5dd29ee7 223
0051c76a 224 depth += occ->depth;
225 mn = depth;
226
227 if (occ->prev)
228 {
229 m = record_path_before_1 (occ->prev, depth);
230 if (m < mn)
231 mn = m;
5dd29ee7 232 }
233
0051c76a 234 fprintf (stderr, "%d (%d); ", ((basic_block) occ->of->data)->index, depth);
4ee9c684 235
236 if (len >= MAX_NODES)
237 abort ();
238
0051c76a 239 depths[len] = depth;
240 datas[len] = occ->of;
241 len++;
242
243 if (occ->next)
5dd29ee7 244 {
0051c76a 245 m = record_path_before_1 (occ->next, depth);
246 if (m < mn)
247 mn = m;
248 }
5dd29ee7 249
0051c76a 250 if (mn != occ->min + depth - occ->depth)
251 abort ();
5dd29ee7 252
0051c76a 253 return mn;
254}
5dd29ee7 255
0051c76a 256/* Records the path represented by a tree containing OCC. */
5dd29ee7 257
0051c76a 258static void
259record_path_before (struct et_occ *occ)
260{
261 while (occ->parent)
262 occ = occ->parent;
5dd29ee7 263
0051c76a 264 len = 0;
265 record_path_before_1 (occ, 0);
266 fprintf (stderr, "\n");
5dd29ee7 267}
268
0051c76a 269/* Checks whether the path represented by OCC, with depth incremented by DEPTH,
270 was not changed since the last recording. */
271
272static int
273check_path_after_1 (struct et_occ *occ, int depth)
5dd29ee7 274{
0051c76a 275 int mn, m;
276
277 depth += occ->depth;
278 mn = depth;
5dd29ee7 279
0051c76a 280 if (occ->next)
5dd29ee7 281 {
0051c76a 282 m = check_path_after_1 (occ->next, depth);
283 if (m < mn)
284 mn = m;
285 }
5dd29ee7 286
0051c76a 287 len--;
288 if (depths[len] != depth
289 || datas[len] != occ->of)
290 abort ();
291
292 if (occ->prev)
293 {
294 m = check_path_after_1 (occ->prev, depth);
295 if (m < mn)
296 mn = m;
5dd29ee7 297 }
298
0051c76a 299 if (mn != occ->min + depth - occ->depth)
300 abort ();
301
302 return mn;
5dd29ee7 303}
304
0051c76a 305/* Checks whether the path represented by a tree containing OCC was
306 not changed since the last recording. */
307
308static void
309check_path_after (struct et_occ *occ)
310{
311 while (occ->parent)
312 occ = occ->parent;
313
314 check_path_after_1 (occ, 0);
315 if (len != 0)
316 abort ();
317}
5dd29ee7 318
0051c76a 319#endif
5dd29ee7 320
4885b286 321/* Splay the occurrence OCC to the root of the tree. */
5dd29ee7 322
89df180d 323static void
0051c76a 324et_splay (struct et_occ *occ)
5dd29ee7 325{
0051c76a 326 struct et_occ *f, *gf, *ggf;
327 int occ_depth, f_depth, gf_depth;
328
329#ifdef DEBUG_ET
330 record_path_before (occ);
331 et_check_tree_sanity (occ);
332#endif
333
334 while (occ->parent)
335 {
336 occ_depth = occ->depth;
5dd29ee7 337
0051c76a 338 f = occ->parent;
339 f_depth = f->depth;
5dd29ee7 340
0051c76a 341 gf = f->parent;
5dd29ee7 342
0051c76a 343 if (!gf)
344 {
345 set_depth_add (occ, f_depth);
346 occ->min_occ = f->min_occ;
347 occ->min = f->min;
5dd29ee7 348
0051c76a 349 if (f->prev == occ)
350 {
351 /* zig */
352 set_prev (f, occ->next);
353 set_next (occ, f);
354 set_depth_add (f->prev, occ_depth);
355 }
356 else
357 {
358 /* zag */
359 set_next (f, occ->prev);
360 set_prev (occ, f);
361 set_depth_add (f->next, occ_depth);
362 }
363 set_depth (f, -occ_depth);
364 occ->parent = NULL;
365
366 et_recomp_min (f);
367#ifdef DEBUG_ET
368 et_check_tree_sanity (occ);
369 check_path_after (occ);
370#endif
371 return;
372 }
373
374 gf_depth = gf->depth;
375
376 set_depth_add (occ, f_depth + gf_depth);
377 occ->min_occ = gf->min_occ;
378 occ->min = gf->min;
379
380 ggf = gf->parent;
381
382 if (gf->prev == f)
383 {
384 if (f->prev == occ)
385 {
386 /* zig zig */
387 set_prev (gf, f->next);
388 set_prev (f, occ->next);
389 set_next (occ, f);
390 set_next (f, gf);
391
392 set_depth (f, -occ_depth);
393 set_depth_add (f->prev, occ_depth);
394 set_depth (gf, -f_depth);
395 set_depth_add (gf->prev, f_depth);
396 }
397 else
398 {
399 /* zag zig */
400 set_prev (gf, occ->next);
401 set_next (f, occ->prev);
402 set_prev (occ, f);
403 set_next (occ, gf);
404
405 set_depth (f, -occ_depth);
406 set_depth_add (f->next, occ_depth);
407 set_depth (gf, -occ_depth - f_depth);
408 set_depth_add (gf->prev, occ_depth + f_depth);
409 }
410 }
411 else
412 {
413 if (f->prev == occ)
414 {
415 /* zig zag */
416 set_next (gf, occ->prev);
417 set_prev (f, occ->next);
418 set_prev (occ, gf);
419 set_next (occ, f);
420
421 set_depth (f, -occ_depth);
422 set_depth_add (f->prev, occ_depth);
423 set_depth (gf, -occ_depth - f_depth);
424 set_depth_add (gf->next, occ_depth + f_depth);
425 }
426 else
427 {
428 /* zag zag */
429 set_next (gf, f->prev);
430 set_next (f, occ->prev);
431 set_prev (occ, f);
432 set_prev (f, gf);
433
434 set_depth (f, -occ_depth);
435 set_depth_add (f->next, occ_depth);
436 set_depth (gf, -f_depth);
437 set_depth_add (gf->next, f_depth);
438 }
439 }
440
441 occ->parent = ggf;
442 if (ggf)
443 {
444 if (ggf->prev == gf)
445 ggf->prev = occ;
446 else
447 ggf->next = occ;
448 }
449
450 et_recomp_min (gf);
451 et_recomp_min (f);
452#ifdef DEBUG_ET
453 et_check_tree_sanity (occ);
454#endif
455 }
456
457#ifdef DEBUG_ET
458 et_check_sanity (occ);
459 check_path_after (occ);
460#endif
461}
462
4885b286 463/* Create a new et tree occurrence of NODE. */
0051c76a 464
465static struct et_occ *
466et_new_occ (struct et_node *node)
5dd29ee7 467{
0051c76a 468 struct et_occ *nw;
469
23c09675 470 if (!et_occurrences)
471 et_occurrences = create_alloc_pool ("et_occ pool", sizeof (struct et_occ), 300);
472 nw = pool_alloc (et_occurrences);
0051c76a 473
474 nw->of = node;
475 nw->parent = NULL;
476 nw->prev = NULL;
477 nw->next = NULL;
478
479 nw->depth = 0;
480 nw->min_occ = nw;
481 nw->min = 0;
482
483 return nw;
5dd29ee7 484}
485
0051c76a 486/* Create a new et tree containing DATA. */
487
488struct et_node *
489et_new_tree (void *data)
5dd29ee7 490{
0051c76a 491 struct et_node *nw;
492
493 if (!et_nodes)
494 et_nodes = create_alloc_pool ("et_node pool", sizeof (struct et_node), 300);
495 nw = pool_alloc (et_nodes);
496
497 nw->data = data;
498 nw->father = NULL;
499 nw->left = NULL;
500 nw->right = NULL;
501 nw->son = NULL;
502
503 nw->rightmost_occ = et_new_occ (nw);
504 nw->parent_occ = NULL;
505
506 return nw;
5dd29ee7 507}
508
0051c76a 509/* Releases et tree T. */
510
511void
512et_free_tree (struct et_node *t)
5dd29ee7 513{
0051c76a 514 while (t->son)
515 et_split (t->son);
5dd29ee7 516
0051c76a 517 if (t->father)
518 et_split (t);
5dd29ee7 519
23c09675 520 pool_free (et_occurrences, t->rightmost_occ);
0051c76a 521 pool_free (et_nodes, t);
5dd29ee7 522}
523
0051c76a 524/* Sets father of et tree T to FATHER. */
525
5dd29ee7 526void
0051c76a 527et_set_father (struct et_node *t, struct et_node *father)
5dd29ee7 528{
0051c76a 529 struct et_node *left, *right;
530 struct et_occ *rmost, *left_part, *new_f_occ, *p;
5dd29ee7 531
0051c76a 532 /* Update the path represented in the splay tree. */
533 new_f_occ = et_new_occ (father);
5dd29ee7 534
0051c76a 535 rmost = father->rightmost_occ;
536 et_splay (rmost);
5dd29ee7 537
0051c76a 538 left_part = rmost->prev;
5dd29ee7 539
0051c76a 540 p = t->rightmost_occ;
541 et_splay (p);
5dd29ee7 542
0051c76a 543 set_prev (new_f_occ, left_part);
544 set_next (new_f_occ, p);
545
546 p->depth++;
547 p->min++;
548 et_recomp_min (new_f_occ);
5dd29ee7 549
0051c76a 550 set_prev (rmost, new_f_occ);
35cb5232 551
0051c76a 552 if (new_f_occ->min + rmost->depth < rmost->min)
553 {
554 rmost->min = new_f_occ->min + rmost->depth;
555 rmost->min_occ = new_f_occ->min_occ;
556 }
5dd29ee7 557
0051c76a 558 t->parent_occ = new_f_occ;
5dd29ee7 559
0051c76a 560 /* Update the tree. */
561 t->father = father;
562 right = father->son;
563 if (right)
564 left = right->left;
565 else
566 left = right = t;
5dd29ee7 567
0051c76a 568 left->right = t;
569 right->left = t;
570 t->left = left;
571 t->right = right;
5dd29ee7 572
0051c76a 573 father->son = t;
5dd29ee7 574
0051c76a 575#ifdef DEBUG_ET
576 et_check_tree_sanity (rmost);
577 record_path_before (rmost);
578#endif
5dd29ee7 579}
580
0051c76a 581/* Splits the edge from T to its father. */
582
583void
584et_split (struct et_node *t)
5dd29ee7 585{
0051c76a 586 struct et_node *father = t->father;
587 struct et_occ *r, *l, *rmost, *p_occ;
5dd29ee7 588
0051c76a 589 /* Update the path represented by the splay tree. */
590 rmost = t->rightmost_occ;
591 et_splay (rmost);
5dd29ee7 592
0051c76a 593 for (r = rmost->next; r->prev; r = r->prev)
594 continue;
595 et_splay (r);
5dd29ee7 596
0051c76a 597 r->prev->parent = NULL;
598 p_occ = t->parent_occ;
599 et_splay (p_occ);
600 t->parent_occ = NULL;
5dd29ee7 601
0051c76a 602 l = p_occ->prev;
603 p_occ->next->parent = NULL;
35cb5232 604
0051c76a 605 set_prev (r, l);
5dd29ee7 606
0051c76a 607 et_recomp_min (r);
5dd29ee7 608
0051c76a 609 et_splay (rmost);
610 rmost->depth = 0;
611 rmost->min = 0;
5dd29ee7 612
23c09675 613 pool_free (et_occurrences, p_occ);
5dd29ee7 614
0051c76a 615 /* Update the tree. */
616 if (father->son == t)
617 father->son = t->right;
618 if (father->son == t)
619 father->son = NULL;
620 else
5dd29ee7 621 {
0051c76a 622 t->left->right = t->right;
623 t->right->left = t->left;
624 }
625 t->left = t->right = NULL;
626 t->father = NULL;
627
628#ifdef DEBUG_ET
629 et_check_tree_sanity (rmost);
630 record_path_before (rmost);
631
632 et_check_tree_sanity (r);
633 record_path_before (r);
634#endif
635}
636
637/* Finds the nearest common ancestor of the nodes N1 and N2. */
638
639struct et_node *
640et_nca (struct et_node *n1, struct et_node *n2)
641{
642 struct et_occ *o1 = n1->rightmost_occ, *o2 = n2->rightmost_occ, *om;
643 struct et_occ *l, *r, *ret;
644 int mn;
645
646 if (n1 == n2)
647 return n1;
648
649 et_splay (o1);
650 l = o1->prev;
651 r = o1->next;
652 if (l)
653 l->parent = NULL;
654 if (r)
655 r->parent = NULL;
656 et_splay (o2);
657
658 if (l == o2 || (l && l->parent != NULL))
659 {
660 ret = o2->next;
661
662 set_prev (o1, o2);
663 if (r)
664 r->parent = o1;
5dd29ee7 665 }
666 else
667 {
0051c76a 668 ret = o2->prev;
669
670 set_next (o1, o2);
671 if (l)
672 l->parent = o1;
5dd29ee7 673 }
35cb5232 674
0051c76a 675 if (0 < o2->depth)
5dd29ee7 676 {
0051c76a 677 om = o1;
678 mn = o1->depth;
679 }
680 else
681 {
682 om = o2;
683 mn = o2->depth + o1->depth;
5dd29ee7 684 }
685
0051c76a 686#ifdef DEBUG_ET
687 et_check_tree_sanity (o2);
688#endif
5dd29ee7 689
0051c76a 690 if (ret && ret->min + o1->depth + o2->depth < mn)
691 return ret->min_occ->of;
692 else
693 return om->of;
5dd29ee7 694}
695
0051c76a 696/* Checks whether the node UP is an ancestor of the node DOWN. */
697
698bool
699et_below (struct et_node *down, struct et_node *up)
5dd29ee7 700{
0051c76a 701 struct et_occ *u = up->rightmost_occ, *d = down->rightmost_occ;
702 struct et_occ *l, *r;
703
704 if (up == down)
705 return true;
706
707 et_splay (u);
708 l = u->prev;
709 r = u->next;
710
711 if (!l)
712 return false;
713
714 l->parent = NULL;
715
716 if (r)
717 r->parent = NULL;
5dd29ee7 718
0051c76a 719 et_splay (d);
720
721 if (l == d || l->parent != NULL)
5dd29ee7 722 {
0051c76a 723 if (r)
724 r->parent = u;
725 set_prev (u, d);
726#ifdef DEBUG_ET
727 et_check_tree_sanity (u);
728#endif
5dd29ee7 729 }
0051c76a 730 else
731 {
732 l->parent = u;
733
734 /* In case O1 and O2 are in two different trees, we must just restore the
735 original state. */
736 if (r && r->parent != NULL)
737 set_next (u, d);
738 else
739 set_next (u, r);
740
741#ifdef DEBUG_ET
742 et_check_tree_sanity (u);
743#endif
744 return false;
745 }
746
747 if (0 >= d->depth)
748 return false;
749
750 return !d->next || d->next->min + d->depth >= 0;
5dd29ee7 751}