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917bbcab 1/* ET-trees data structure implementation.
5dd29ee7 2 Contributed by Pavel Nejedly
d353bf18 3 Copyright (C) 2002-2015 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
8c4c00c1 9version 3 of the License, or (at your option) any later version.
5dd29ee7 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
8c4c00c1 17License along with libiberty; see the file COPYING3. If not see
18<http://www.gnu.org/licenses/>.
5dd29ee7 19
20 The ET-forest structure is described in:
21 D. D. Sleator and R. E. Tarjan. A data structure for dynamic trees.
22 J. G'omput. System Sci., 26(3):362 381, 1983.
23*/
24
25#include "config.h"
26#include "system.h"
805e22b2 27#include "coretypes.h"
b694b261 28#include "alloc-pool.h"
63c440eb 29#include "et-forest.h"
5dd29ee7 30
0051c76a 31/* We do not enable this with ENABLE_CHECKING, since it is awfully slow. */
32#undef DEBUG_ET
5dd29ee7 33
0051c76a 34#ifdef DEBUG_ET
9ef16211 35#include "backend.h"
94ea8568 36#include "hard-reg-set.h"
0051c76a 37#endif
5dd29ee7 38
4885b286 39/* The occurrence of a node in the et tree. */
0051c76a 40struct et_occ
5dd29ee7 41{
0051c76a 42 struct et_node *of; /* The node. */
43
44 struct et_occ *parent; /* Parent in the splay-tree. */
45 struct et_occ *prev; /* Left son in the splay-tree. */
46 struct et_occ *next; /* Right son in the splay-tree. */
47
48 int depth; /* The depth of the node is the sum of depth
49 fields on the path to the root. */
50 int min; /* The minimum value of the depth in the subtree
51 is obtained by adding sum of depth fields
52 on the path to the root. */
4885b286 53 struct et_occ *min_occ; /* The occurrence in the subtree with the minimal
0051c76a 54 depth. */
55};
5dd29ee7 56
e16712b1 57static object_allocator<et_node> et_nodes ("et_nodes pool", 300);
58static object_allocator<et_occ> et_occurrences ("et_occ pool", 300);
5dd29ee7 59
0051c76a 60/* Changes depth of OCC to D. */
5dd29ee7 61
0051c76a 62static inline void
63set_depth (struct et_occ *occ, int d)
64{
65 if (!occ)
66 return;
5dd29ee7 67
0051c76a 68 occ->min += d - occ->depth;
69 occ->depth = d;
70}
5dd29ee7 71
0051c76a 72/* Adds D to the depth of OCC. */
5dd29ee7 73
0051c76a 74static inline void
75set_depth_add (struct et_occ *occ, int d)
5dd29ee7 76{
0051c76a 77 if (!occ)
78 return;
5dd29ee7 79
0051c76a 80 occ->min += d;
81 occ->depth += d;
82}
5dd29ee7 83
0051c76a 84/* Sets prev field of OCC to P. */
5dd29ee7 85
0051c76a 86static inline void
87set_prev (struct et_occ *occ, struct et_occ *t)
5dd29ee7 88{
0051c76a 89#ifdef DEBUG_ET
611234b4 90 gcc_assert (occ != t);
0051c76a 91#endif
5dd29ee7 92
0051c76a 93 occ->prev = t;
94 if (t)
95 t->parent = occ;
5dd29ee7 96}
97
0051c76a 98/* Sets next field of OCC to P. */
99
100static inline void
101set_next (struct et_occ *occ, struct et_occ *t)
5dd29ee7 102{
0051c76a 103#ifdef DEBUG_ET
611234b4 104 gcc_assert (occ != t);
0051c76a 105#endif
106
107 occ->next = t;
108 if (t)
109 t->parent = occ;
5dd29ee7 110}
111
4885b286 112/* Recompute minimum for occurrence OCC. */
5dd29ee7 113
0051c76a 114static inline void
115et_recomp_min (struct et_occ *occ)
5dd29ee7 116{
0051c76a 117 struct et_occ *mson = occ->prev;
5dd29ee7 118
0051c76a 119 if (!mson
120 || (occ->next
121 && mson->min > occ->next->min))
122 mson = occ->next;
5dd29ee7 123
0051c76a 124 if (mson && mson->min < 0)
125 {
126 occ->min = mson->min + occ->depth;
127 occ->min_occ = mson->min_occ;
128 }
129 else
130 {
131 occ->min = occ->depth;
132 occ->min_occ = occ;
133 }
134}
5dd29ee7 135
0051c76a 136#ifdef DEBUG_ET
91275768 137/* Checks whether neighborhood of OCC seems sane. */
5dd29ee7 138
0051c76a 139static void
140et_check_occ_sanity (struct et_occ *occ)
141{
142 if (!occ)
143 return;
5dd29ee7 144
611234b4 145 gcc_assert (occ->parent != occ);
146 gcc_assert (occ->prev != occ);
147 gcc_assert (occ->next != occ);
148 gcc_assert (!occ->next || occ->next != occ->prev);
5dd29ee7 149
0051c76a 150 if (occ->next)
5dd29ee7 151 {
611234b4 152 gcc_assert (occ->next != occ->parent);
153 gcc_assert (occ->next->parent == occ);
35cb5232 154 }
0051c76a 155
156 if (occ->prev)
5dd29ee7 157 {
611234b4 158 gcc_assert (occ->prev != occ->parent);
159 gcc_assert (occ->prev->parent == occ);
5dd29ee7 160 }
161
611234b4 162 gcc_assert (!occ->parent
163 || occ->parent->prev == occ
164 || occ->parent->next == occ);
5dd29ee7 165}
166
0051c76a 167/* Checks whether tree rooted at OCC is sane. */
168
5dd29ee7 169static void
0051c76a 170et_check_sanity (struct et_occ *occ)
5dd29ee7 171{
0051c76a 172 et_check_occ_sanity (occ);
173 if (occ->prev)
174 et_check_sanity (occ->prev);
175 if (occ->next)
176 et_check_sanity (occ->next);
177}
5dd29ee7 178
0051c76a 179/* Checks whether tree containing OCC is sane. */
5dd29ee7 180
0051c76a 181static void
182et_check_tree_sanity (struct et_occ *occ)
183{
184 while (occ->parent)
185 occ = occ->parent;
5dd29ee7 186
0051c76a 187 et_check_sanity (occ);
188}
5dd29ee7 189
0051c76a 190/* For recording the paths. */
5dd29ee7 191
4ee9c684 192/* An ad-hoc constant; if the function has more blocks, this won't work,
193 but since it is used for debugging only, it does not matter. */
194#define MAX_NODES 100000
195
0051c76a 196static int len;
4ee9c684 197static void *datas[MAX_NODES];
198static int depths[MAX_NODES];
5dd29ee7 199
0051c76a 200/* Records the path represented by OCC, with depth incremented by DEPTH. */
5dd29ee7 201
0051c76a 202static int
203record_path_before_1 (struct et_occ *occ, int depth)
204{
205 int mn, m;
5dd29ee7 206
0051c76a 207 depth += occ->depth;
208 mn = depth;
209
210 if (occ->prev)
211 {
48e1416a 212 m = record_path_before_1 (occ->prev, depth);
0051c76a 213 if (m < mn)
214 mn = m;
5dd29ee7 215 }
216
0051c76a 217 fprintf (stderr, "%d (%d); ", ((basic_block) occ->of->data)->index, depth);
4ee9c684 218
611234b4 219 gcc_assert (len < MAX_NODES);
4ee9c684 220
0051c76a 221 depths[len] = depth;
222 datas[len] = occ->of;
223 len++;
224
225 if (occ->next)
5dd29ee7 226 {
0051c76a 227 m = record_path_before_1 (occ->next, depth);
228 if (m < mn)
229 mn = m;
230 }
5dd29ee7 231
611234b4 232 gcc_assert (mn == occ->min + depth - occ->depth);
5dd29ee7 233
0051c76a 234 return mn;
235}
5dd29ee7 236
0051c76a 237/* Records the path represented by a tree containing OCC. */
5dd29ee7 238
0051c76a 239static void
240record_path_before (struct et_occ *occ)
241{
242 while (occ->parent)
243 occ = occ->parent;
5dd29ee7 244
0051c76a 245 len = 0;
246 record_path_before_1 (occ, 0);
247 fprintf (stderr, "\n");
5dd29ee7 248}
249
0051c76a 250/* Checks whether the path represented by OCC, with depth incremented by DEPTH,
251 was not changed since the last recording. */
252
253static int
254check_path_after_1 (struct et_occ *occ, int depth)
5dd29ee7 255{
0051c76a 256 int mn, m;
257
258 depth += occ->depth;
259 mn = depth;
5dd29ee7 260
0051c76a 261 if (occ->next)
5dd29ee7 262 {
48e1416a 263 m = check_path_after_1 (occ->next, depth);
0051c76a 264 if (m < mn)
265 mn = m;
266 }
5dd29ee7 267
0051c76a 268 len--;
611234b4 269 gcc_assert (depths[len] == depth && datas[len] == occ->of);
0051c76a 270
271 if (occ->prev)
272 {
273 m = check_path_after_1 (occ->prev, depth);
274 if (m < mn)
275 mn = m;
5dd29ee7 276 }
277
611234b4 278 gcc_assert (mn == occ->min + depth - occ->depth);
0051c76a 279
280 return mn;
5dd29ee7 281}
282
0051c76a 283/* Checks whether the path represented by a tree containing OCC was
284 not changed since the last recording. */
285
286static void
287check_path_after (struct et_occ *occ)
288{
289 while (occ->parent)
290 occ = occ->parent;
291
292 check_path_after_1 (occ, 0);
611234b4 293 gcc_assert (!len);
0051c76a 294}
5dd29ee7 295
0051c76a 296#endif
5dd29ee7 297
4885b286 298/* Splay the occurrence OCC to the root of the tree. */
5dd29ee7 299
89df180d 300static void
0051c76a 301et_splay (struct et_occ *occ)
5dd29ee7 302{
0051c76a 303 struct et_occ *f, *gf, *ggf;
304 int occ_depth, f_depth, gf_depth;
305
306#ifdef DEBUG_ET
307 record_path_before (occ);
308 et_check_tree_sanity (occ);
309#endif
48e1416a 310
0051c76a 311 while (occ->parent)
312 {
313 occ_depth = occ->depth;
5dd29ee7 314
0051c76a 315 f = occ->parent;
316 f_depth = f->depth;
5dd29ee7 317
0051c76a 318 gf = f->parent;
5dd29ee7 319
0051c76a 320 if (!gf)
321 {
322 set_depth_add (occ, f_depth);
323 occ->min_occ = f->min_occ;
324 occ->min = f->min;
5dd29ee7 325
0051c76a 326 if (f->prev == occ)
327 {
328 /* zig */
329 set_prev (f, occ->next);
330 set_next (occ, f);
331 set_depth_add (f->prev, occ_depth);
332 }
333 else
334 {
335 /* zag */
336 set_next (f, occ->prev);
337 set_prev (occ, f);
338 set_depth_add (f->next, occ_depth);
339 }
340 set_depth (f, -occ_depth);
341 occ->parent = NULL;
342
343 et_recomp_min (f);
344#ifdef DEBUG_ET
345 et_check_tree_sanity (occ);
346 check_path_after (occ);
347#endif
348 return;
349 }
350
351 gf_depth = gf->depth;
352
353 set_depth_add (occ, f_depth + gf_depth);
354 occ->min_occ = gf->min_occ;
355 occ->min = gf->min;
356
357 ggf = gf->parent;
358
359 if (gf->prev == f)
360 {
361 if (f->prev == occ)
362 {
363 /* zig zig */
364 set_prev (gf, f->next);
365 set_prev (f, occ->next);
366 set_next (occ, f);
367 set_next (f, gf);
368
369 set_depth (f, -occ_depth);
370 set_depth_add (f->prev, occ_depth);
371 set_depth (gf, -f_depth);
372 set_depth_add (gf->prev, f_depth);
373 }
374 else
375 {
376 /* zag zig */
377 set_prev (gf, occ->next);
378 set_next (f, occ->prev);
379 set_prev (occ, f);
380 set_next (occ, gf);
381
382 set_depth (f, -occ_depth);
383 set_depth_add (f->next, occ_depth);
384 set_depth (gf, -occ_depth - f_depth);
385 set_depth_add (gf->prev, occ_depth + f_depth);
386 }
387 }
388 else
389 {
390 if (f->prev == occ)
391 {
392 /* zig zag */
393 set_next (gf, occ->prev);
394 set_prev (f, occ->next);
395 set_prev (occ, gf);
396 set_next (occ, f);
397
398 set_depth (f, -occ_depth);
399 set_depth_add (f->prev, occ_depth);
400 set_depth (gf, -occ_depth - f_depth);
401 set_depth_add (gf->next, occ_depth + f_depth);
402 }
403 else
404 {
405 /* zag zag */
406 set_next (gf, f->prev);
407 set_next (f, occ->prev);
408 set_prev (occ, f);
409 set_prev (f, gf);
410
411 set_depth (f, -occ_depth);
412 set_depth_add (f->next, occ_depth);
413 set_depth (gf, -f_depth);
414 set_depth_add (gf->next, f_depth);
415 }
416 }
417
418 occ->parent = ggf;
419 if (ggf)
420 {
421 if (ggf->prev == gf)
422 ggf->prev = occ;
423 else
424 ggf->next = occ;
425 }
426
427 et_recomp_min (gf);
428 et_recomp_min (f);
429#ifdef DEBUG_ET
430 et_check_tree_sanity (occ);
431#endif
432 }
433
434#ifdef DEBUG_ET
435 et_check_sanity (occ);
436 check_path_after (occ);
437#endif
438}
439
4885b286 440/* Create a new et tree occurrence of NODE. */
0051c76a 441
442static struct et_occ *
443et_new_occ (struct et_node *node)
5dd29ee7 444{
e16712b1 445 et_occ *nw = et_occurrences.allocate ();
0051c76a 446
447 nw->of = node;
448 nw->parent = NULL;
449 nw->prev = NULL;
450 nw->next = NULL;
451
452 nw->depth = 0;
453 nw->min_occ = nw;
454 nw->min = 0;
455
456 return nw;
5dd29ee7 457}
458
0051c76a 459/* Create a new et tree containing DATA. */
460
461struct et_node *
462et_new_tree (void *data)
5dd29ee7 463{
e16712b1 464 et_node *nw = et_nodes.allocate ();
0051c76a 465
466 nw->data = data;
467 nw->father = NULL;
468 nw->left = NULL;
469 nw->right = NULL;
470 nw->son = NULL;
471
472 nw->rightmost_occ = et_new_occ (nw);
473 nw->parent_occ = NULL;
474
475 return nw;
5dd29ee7 476}
477
0051c76a 478/* Releases et tree T. */
479
480void
481et_free_tree (struct et_node *t)
5dd29ee7 482{
0051c76a 483 while (t->son)
484 et_split (t->son);
5dd29ee7 485
0051c76a 486 if (t->father)
487 et_split (t);
5dd29ee7 488
e16712b1 489 et_occurrences.remove (t->rightmost_occ);
490 et_nodes.remove (t);
5dd29ee7 491}
492
108beec7 493/* Releases et tree T without maintaining other nodes. */
494
495void
496et_free_tree_force (struct et_node *t)
497{
e16712b1 498 et_occurrences.remove (t->rightmost_occ);
0a06d4f0 499 if (t->parent_occ)
e16712b1 500 et_occurrences.remove (t->parent_occ);
501 et_nodes.remove (t);
108beec7 502}
503
0a06d4f0 504/* Release the alloc pools, if they are empty. */
505
506void
507et_free_pools (void)
508{
e16712b1 509 et_occurrences.release_if_empty ();
510 et_nodes.release_if_empty ();
0a06d4f0 511}
512
0051c76a 513/* Sets father of et tree T to FATHER. */
514
5dd29ee7 515void
0051c76a 516et_set_father (struct et_node *t, struct et_node *father)
5dd29ee7 517{
0051c76a 518 struct et_node *left, *right;
519 struct et_occ *rmost, *left_part, *new_f_occ, *p;
5dd29ee7 520
0051c76a 521 /* Update the path represented in the splay tree. */
522 new_f_occ = et_new_occ (father);
5dd29ee7 523
0051c76a 524 rmost = father->rightmost_occ;
525 et_splay (rmost);
5dd29ee7 526
0051c76a 527 left_part = rmost->prev;
5dd29ee7 528
0051c76a 529 p = t->rightmost_occ;
530 et_splay (p);
5dd29ee7 531
0051c76a 532 set_prev (new_f_occ, left_part);
533 set_next (new_f_occ, p);
534
535 p->depth++;
536 p->min++;
537 et_recomp_min (new_f_occ);
5dd29ee7 538
0051c76a 539 set_prev (rmost, new_f_occ);
35cb5232 540
0051c76a 541 if (new_f_occ->min + rmost->depth < rmost->min)
542 {
543 rmost->min = new_f_occ->min + rmost->depth;
544 rmost->min_occ = new_f_occ->min_occ;
545 }
5dd29ee7 546
0051c76a 547 t->parent_occ = new_f_occ;
5dd29ee7 548
0051c76a 549 /* Update the tree. */
550 t->father = father;
551 right = father->son;
552 if (right)
553 left = right->left;
554 else
555 left = right = t;
5dd29ee7 556
0051c76a 557 left->right = t;
558 right->left = t;
559 t->left = left;
560 t->right = right;
5dd29ee7 561
0051c76a 562 father->son = t;
5dd29ee7 563
0051c76a 564#ifdef DEBUG_ET
565 et_check_tree_sanity (rmost);
566 record_path_before (rmost);
567#endif
5dd29ee7 568}
569
0051c76a 570/* Splits the edge from T to its father. */
571
572void
573et_split (struct et_node *t)
5dd29ee7 574{
0051c76a 575 struct et_node *father = t->father;
576 struct et_occ *r, *l, *rmost, *p_occ;
5dd29ee7 577
0051c76a 578 /* Update the path represented by the splay tree. */
579 rmost = t->rightmost_occ;
580 et_splay (rmost);
5dd29ee7 581
0051c76a 582 for (r = rmost->next; r->prev; r = r->prev)
583 continue;
48e1416a 584 et_splay (r);
5dd29ee7 585
0051c76a 586 r->prev->parent = NULL;
587 p_occ = t->parent_occ;
588 et_splay (p_occ);
589 t->parent_occ = NULL;
5dd29ee7 590
0051c76a 591 l = p_occ->prev;
592 p_occ->next->parent = NULL;
35cb5232 593
0051c76a 594 set_prev (r, l);
5dd29ee7 595
0051c76a 596 et_recomp_min (r);
5dd29ee7 597
0051c76a 598 et_splay (rmost);
599 rmost->depth = 0;
600 rmost->min = 0;
5dd29ee7 601
e16712b1 602 et_occurrences.remove (p_occ);
5dd29ee7 603
0051c76a 604 /* Update the tree. */
605 if (father->son == t)
606 father->son = t->right;
607 if (father->son == t)
608 father->son = NULL;
609 else
5dd29ee7 610 {
0051c76a 611 t->left->right = t->right;
612 t->right->left = t->left;
613 }
614 t->left = t->right = NULL;
615 t->father = NULL;
616
617#ifdef DEBUG_ET
618 et_check_tree_sanity (rmost);
619 record_path_before (rmost);
620
621 et_check_tree_sanity (r);
622 record_path_before (r);
623#endif
624}
625
626/* Finds the nearest common ancestor of the nodes N1 and N2. */
627
628struct et_node *
629et_nca (struct et_node *n1, struct et_node *n2)
630{
631 struct et_occ *o1 = n1->rightmost_occ, *o2 = n2->rightmost_occ, *om;
632 struct et_occ *l, *r, *ret;
633 int mn;
634
635 if (n1 == n2)
636 return n1;
637
638 et_splay (o1);
639 l = o1->prev;
640 r = o1->next;
641 if (l)
642 l->parent = NULL;
643 if (r)
644 r->parent = NULL;
645 et_splay (o2);
646
647 if (l == o2 || (l && l->parent != NULL))
648 {
649 ret = o2->next;
650
651 set_prev (o1, o2);
652 if (r)
653 r->parent = o1;
5dd29ee7 654 }
8cb78e28 655 else if (r == o2 || (r && r->parent != NULL))
5dd29ee7 656 {
0051c76a 657 ret = o2->prev;
658
659 set_next (o1, o2);
660 if (l)
661 l->parent = o1;
5dd29ee7 662 }
8cb78e28 663 else
664 {
665 /* O1 and O2 are in different components of the forest. */
666 if (l)
667 l->parent = o1;
668 if (r)
669 r->parent = o1;
670 return NULL;
671 }
35cb5232 672
0051c76a 673 if (0 < o2->depth)
5dd29ee7 674 {
0051c76a 675 om = o1;
676 mn = o1->depth;
677 }
678 else
679 {
680 om = o2;
681 mn = o2->depth + o1->depth;
5dd29ee7 682 }
683
0051c76a 684#ifdef DEBUG_ET
685 et_check_tree_sanity (o2);
686#endif
5dd29ee7 687
0051c76a 688 if (ret && ret->min + o1->depth + o2->depth < mn)
689 return ret->min_occ->of;
690 else
691 return om->of;
5dd29ee7 692}
693
0051c76a 694/* Checks whether the node UP is an ancestor of the node DOWN. */
695
696bool
697et_below (struct et_node *down, struct et_node *up)
5dd29ee7 698{
0051c76a 699 struct et_occ *u = up->rightmost_occ, *d = down->rightmost_occ;
700 struct et_occ *l, *r;
701
702 if (up == down)
703 return true;
704
705 et_splay (u);
706 l = u->prev;
707 r = u->next;
708
709 if (!l)
710 return false;
711
712 l->parent = NULL;
713
714 if (r)
715 r->parent = NULL;
5dd29ee7 716
0051c76a 717 et_splay (d);
718
719 if (l == d || l->parent != NULL)
5dd29ee7 720 {
0051c76a 721 if (r)
722 r->parent = u;
723 set_prev (u, d);
724#ifdef DEBUG_ET
725 et_check_tree_sanity (u);
726#endif
5dd29ee7 727 }
0051c76a 728 else
729 {
730 l->parent = u;
731
732 /* In case O1 and O2 are in two different trees, we must just restore the
733 original state. */
734 if (r && r->parent != NULL)
735 set_next (u, d);
736 else
737 set_next (u, r);
738
739#ifdef DEBUG_ET
740 et_check_tree_sanity (u);
741#endif
742 return false;
743 }
744
745 if (0 >= d->depth)
746 return false;
747
748 return !d->next || d->next->min + d->depth >= 0;
5dd29ee7 749}
3f9439d7 750
751/* Returns the root of the tree that contains NODE. */
752
753struct et_node *
754et_root (struct et_node *node)
755{
756 struct et_occ *occ = node->rightmost_occ, *r;
757
f0b5f617 758 /* The root of the tree corresponds to the rightmost occurrence in the
3f9439d7 759 represented path. */
760 et_splay (occ);
761 for (r = occ; r->next; r = r->next)
762 continue;
763 et_splay (r);
764
765 return r->of;
766}