1 | /*- mode: C++; c-basic-offset: 4; indent-tabs-mode: nil -*- */ |
2 | // vim: ft=cpp:expandtab:ts=8:sw=4:softtabstop=4: |
3 | #ident "$Id$" |
4 | /*====== |
5 | This file is part of PerconaFT. |
6 | |
7 | |
8 | Copyright (c) 2006, 2015, Percona and/or its affiliates. All rights reserved. |
9 | |
10 | PerconaFT is free software: you can redistribute it and/or modify |
11 | it under the terms of the GNU General Public License, version 2, |
12 | as published by the Free Software Foundation. |
13 | |
14 | PerconaFT is distributed in the hope that it will be useful, |
15 | but WITHOUT ANY WARRANTY; without even the implied warranty of |
16 | MERCHANTABILIT or FITNESS FOR A PARTICULAR PURPOSE. See the |
17 | GNU General Public License for more details. |
18 | |
19 | You should have received a copy of the GNU General Public License |
20 | along with PerconaFT. If not, see <http://www.gnu.org/licenses/>. |
21 | |
22 | ---------------------------------------- |
23 | |
24 | PerconaFT is free software: you can redistribute it and/or modify |
25 | it under the terms of the GNU Affero General Public License, version 3, |
26 | as published by the Free Software Foundation. |
27 | |
28 | PerconaFT is distributed in the hope that it will be useful, |
29 | but WITHOUT ANY WARRANTY; without even the implied warranty of |
30 | MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the |
31 | GNU Affero General Public License for more details. |
32 | |
33 | You should have received a copy of the GNU Affero General Public License |
34 | along with PerconaFT. If not, see <http://www.gnu.org/licenses/>. |
35 | ======= */ |
36 | |
37 | #ident "Copyright (c) 2006, 2015, Percona and/or its affiliates. All rights reserved." |
38 | |
39 | #include "ft/serialize/rbtree_mhs.h" |
40 | #include "portability/toku_assert.h" |
41 | #include "portability/toku_portability.h" |
42 | #include <algorithm> |
43 | |
44 | namespace MhsRbTree { |
45 | |
46 | Tree::Tree() : _root(NULL), _align(1) {} |
47 | |
48 | Tree::Tree(uint64_t align) : _root(NULL), _align(align) {} |
49 | |
50 | Tree::~Tree() { Destroy(); } |
51 | |
52 | void Tree::PreOrder(Node *tree) const { |
53 | if (tree != NULL) { |
54 | fprintf(stderr, "%" PRIu64 " " , rbn_offset(tree).ToInt()); |
55 | PreOrder(tree->_left); |
56 | PreOrder(tree->_right); |
57 | } |
58 | } |
59 | |
60 | void Tree::PreOrder() { PreOrder(_root); } |
61 | |
62 | void Tree::InOrder(Node *tree) const { |
63 | if (tree != NULL) { |
64 | InOrder(tree->_left); |
65 | fprintf(stderr, "%" PRIu64 " " , rbn_offset(tree).ToInt()); |
66 | InOrder(tree->_right); |
67 | } |
68 | } |
69 | |
70 | // yeah, i only care about in order visitor. -Jun |
71 | void Tree::InOrderVisitor(Node *tree, |
72 | void (*f)(void *, Node *, uint64_t), |
73 | void *, |
74 | uint64_t depth) { |
75 | if (tree != NULL) { |
76 | InOrderVisitor(tree->_left, f, extra, depth + 1); |
77 | f(extra, tree, depth); |
78 | InOrderVisitor(tree->_right, f, extra, depth + 1); |
79 | } |
80 | } |
81 | |
82 | void Tree::InOrderVisitor(void (*f)(void *, Node *, uint64_t), |
83 | void *) { |
84 | InOrderVisitor(_root, f, extra, 0); |
85 | } |
86 | |
87 | void Tree::InOrder() { InOrder(_root); } |
88 | |
89 | void Tree::PostOrder(Node *tree) const { |
90 | if (tree != NULL) { |
91 | PostOrder(tree->_left); |
92 | PostOrder(tree->_right); |
93 | fprintf(stderr, "%" PRIu64 " " , rbn_offset(tree).ToInt()); |
94 | } |
95 | } |
96 | |
97 | void Tree::PostOrder() { PostOrder(_root); } |
98 | |
99 | Node *Tree::SearchByOffset(uint64_t offset) { |
100 | Node *x = _root; |
101 | while ((x != NULL) && (rbn_offset(x).ToInt() != offset)) { |
102 | if (offset < rbn_offset(x).ToInt()) |
103 | x = x->_left; |
104 | else |
105 | x = x->_right; |
106 | } |
107 | |
108 | return x; |
109 | } |
110 | |
111 | // mostly for testing |
112 | Node *Tree::SearchFirstFitBySize(uint64_t size) { |
113 | if (EffectiveSize(_root) < size && rbn_left_mhs(_root) < size && |
114 | rbn_right_mhs(_root) < size) { |
115 | return nullptr; |
116 | } else { |
117 | return SearchFirstFitBySizeHelper(_root, size); |
118 | } |
119 | } |
120 | |
121 | Node *Tree::SearchFirstFitBySizeHelper(Node *x, uint64_t size) { |
122 | if (EffectiveSize(x) >= size) { |
123 | // only possible to go left |
124 | if (rbn_left_mhs(x) >= size) |
125 | return SearchFirstFitBySizeHelper(x->_left, size); |
126 | else |
127 | return x; |
128 | } |
129 | if (rbn_left_mhs(x) >= size) |
130 | return SearchFirstFitBySizeHelper(x->_left, size); |
131 | |
132 | if (rbn_right_mhs(x) >= size) |
133 | return SearchFirstFitBySizeHelper(x->_right, size); |
134 | |
135 | // this is an invalid state |
136 | Dump(); |
137 | ValidateBalance(); |
138 | ValidateMhs(); |
139 | invariant(0); |
140 | return NULL; |
141 | } |
142 | |
143 | Node *Tree::MinNode(Node *tree) { |
144 | if (tree == NULL) |
145 | return NULL; |
146 | |
147 | while (tree->_left != NULL) |
148 | tree = tree->_left; |
149 | return tree; |
150 | } |
151 | |
152 | Node *Tree::MinNode() { return MinNode(_root); } |
153 | |
154 | Node *Tree::MaxNode(Node *tree) { |
155 | if (tree == NULL) |
156 | return NULL; |
157 | |
158 | while (tree->_right != NULL) |
159 | tree = tree->_right; |
160 | return tree; |
161 | } |
162 | |
163 | Node *Tree::MaxNode() { return MaxNode(_root); } |
164 | |
165 | Node *Tree::SuccessorHelper(Node *y, Node *x) { |
166 | while ((y != NULL) && (x == y->_right)) { |
167 | x = y; |
168 | y = y->_parent; |
169 | } |
170 | return y; |
171 | } |
172 | Node *Tree::Successor(Node *x) { |
173 | if (x->_right != NULL) |
174 | return MinNode(x->_right); |
175 | |
176 | Node *y = x->_parent; |
177 | return SuccessorHelper(y, x); |
178 | } |
179 | |
180 | Node *Tree::PredecessorHelper(Node *y, Node *x) { |
181 | while ((y != NULL) && (x == y->_left)) { |
182 | x = y; |
183 | y = y->_parent; |
184 | } |
185 | |
186 | return y; |
187 | } |
188 | Node *Tree::Predecessor(Node *x) { |
189 | if (x->_left != NULL) |
190 | return MaxNode(x->_left); |
191 | |
192 | Node *y = x->_parent; |
193 | return SuccessorHelper(y, x); |
194 | } |
195 | |
196 | /* |
197 | * px px |
198 | * / / |
199 | * x y |
200 | * / \ --(left rotation)--> / \ # |
201 | * lx y x ry |
202 | * / \ / \ |
203 | * ly ry lx ly |
204 | * max_hole_size updates are pretty local |
205 | */ |
206 | |
207 | void Tree::LeftRotate(Node *&root, Node *x) { |
208 | Node *y = x->_right; |
209 | |
210 | x->_right = y->_left; |
211 | rbn_right_mhs(x) = rbn_left_mhs(y); |
212 | |
213 | if (y->_left != NULL) |
214 | y->_left->_parent = x; |
215 | |
216 | y->_parent = x->_parent; |
217 | |
218 | if (x->_parent == NULL) { |
219 | root = y; |
220 | } else { |
221 | if (x->_parent->_left == x) { |
222 | x->_parent->_left = y; |
223 | } else { |
224 | x->_parent->_right = y; |
225 | } |
226 | } |
227 | y->_left = x; |
228 | rbn_left_mhs(y) = mhs_of_subtree(x); |
229 | |
230 | x->_parent = y; |
231 | } |
232 | |
233 | /* py py |
234 | * / / |
235 | * y x |
236 | * / \ --(right rotate)--> / \ # |
237 | * x ry lx y |
238 | * / \ / \ # |
239 | * lx rx rx ry |
240 | * |
241 | */ |
242 | |
243 | void Tree::RightRotate(Node *&root, Node *y) { |
244 | Node *x = y->_left; |
245 | |
246 | y->_left = x->_right; |
247 | rbn_left_mhs(y) = rbn_right_mhs(x); |
248 | |
249 | if (x->_right != NULL) |
250 | x->_right->_parent = y; |
251 | |
252 | x->_parent = y->_parent; |
253 | |
254 | if (y->_parent == NULL) { |
255 | root = x; |
256 | } else { |
257 | if (y == y->_parent->_right) |
258 | y->_parent->_right = x; |
259 | else |
260 | y->_parent->_left = x; |
261 | } |
262 | |
263 | x->_right = y; |
264 | rbn_right_mhs(x) = mhs_of_subtree(y); |
265 | y->_parent = x; |
266 | } |
267 | |
268 | // walking from this node up to update the mhs info |
269 | // whenver there is change on left/right mhs or size we should recalculate. |
270 | // prerequisit: the children of the node are mhs up-to-date. |
271 | void Tree::RecalculateMhs(Node *node) { |
272 | uint64_t *p_node_mhs = 0; |
273 | Node *parent = node->_parent; |
274 | |
275 | if (!parent) |
276 | return; |
277 | |
278 | uint64_t max_mhs = mhs_of_subtree(node); |
279 | if (node == parent->_left) { |
280 | p_node_mhs = &rbn_left_mhs(parent); |
281 | } else if (node == parent->_right) { |
282 | p_node_mhs = &rbn_right_mhs(parent); |
283 | } else { |
284 | return; |
285 | } |
286 | if (*p_node_mhs != max_mhs) { |
287 | *p_node_mhs = max_mhs; |
288 | RecalculateMhs(parent); |
289 | } |
290 | } |
291 | |
292 | void Tree::IsNewNodeMergable(Node *pred, |
293 | Node *succ, |
294 | Node::BlockPair pair, |
295 | bool *left_merge, |
296 | bool *right_merge) { |
297 | if (pred) { |
298 | OUUInt64 end_of_pred = rbn_size(pred) + rbn_offset(pred); |
299 | if (end_of_pred < pair._offset) |
300 | *left_merge = false; |
301 | else { |
302 | invariant(end_of_pred == pair._offset); |
303 | *left_merge = true; |
304 | } |
305 | } |
306 | if (succ) { |
307 | OUUInt64 begin_of_succ = rbn_offset(succ); |
308 | OUUInt64 end_of_node = pair._offset + pair._size; |
309 | if (end_of_node < begin_of_succ) { |
310 | *right_merge = false; |
311 | } else { |
312 | invariant(end_of_node == begin_of_succ); |
313 | *right_merge = true; |
314 | } |
315 | } |
316 | } |
317 | |
318 | void Tree::AbsorbNewNode(Node *pred, |
319 | Node *succ, |
320 | Node::BlockPair pair, |
321 | bool left_merge, |
322 | bool right_merge, |
323 | bool is_right_child) { |
324 | invariant(left_merge || right_merge); |
325 | if (left_merge && right_merge) { |
326 | // merge to the succ |
327 | if (!is_right_child) { |
328 | rbn_size(succ) += pair._size; |
329 | rbn_offset(succ) = pair._offset; |
330 | // merge to the pred |
331 | rbn_size(pred) += rbn_size(succ); |
332 | // to keep the invariant of the tree -no overlapping holes |
333 | rbn_offset(succ) += rbn_size(succ); |
334 | rbn_size(succ) = 0; |
335 | RecalculateMhs(succ); |
336 | RecalculateMhs(pred); |
337 | // pred dominates succ. this is going to |
338 | // update the pred labels separately. |
339 | // remove succ |
340 | RawRemove(_root, succ); |
341 | } else { |
342 | rbn_size(pred) += pair._size; |
343 | rbn_offset(succ) = rbn_offset(pred); |
344 | rbn_size(succ) += rbn_size(pred); |
345 | rbn_offset(pred) += rbn_size(pred); |
346 | rbn_size(pred) = 0; |
347 | RecalculateMhs(pred); |
348 | RecalculateMhs(succ); |
349 | // now remove pred |
350 | RawRemove(_root, pred); |
351 | } |
352 | } else if (left_merge) { |
353 | rbn_size(pred) += pair._size; |
354 | RecalculateMhs(pred); |
355 | } else if (right_merge) { |
356 | rbn_offset(succ) -= pair._size; |
357 | rbn_size(succ) += pair._size; |
358 | RecalculateMhs(succ); |
359 | } |
360 | } |
361 | // this is the most tedious part, but not complicated: |
362 | // 1.find where to insert the pair |
363 | // 2.if the pred and succ can merge with the pair. merge with them. either |
364 | // pred |
365 | // or succ can be removed. |
366 | // 3. if only left-mergable or right-mergeable, just merge |
367 | // 4. non-mergable case. insert the node and run the fixup. |
368 | |
369 | int Tree::Insert(Node *&root, Node::BlockPair pair) { |
370 | Node *x = _root; |
371 | Node *y = NULL; |
372 | bool left_merge = false; |
373 | bool right_merge = false; |
374 | Node *node = NULL; |
375 | |
376 | while (x != NULL) { |
377 | y = x; |
378 | if (pair._offset < rbn_key(x)) |
379 | x = x->_left; |
380 | else |
381 | x = x->_right; |
382 | } |
383 | |
384 | // we found where to insert, lets find out the pred and succ for |
385 | // possible |
386 | // merges. |
387 | // node->parent = y; |
388 | Node *pred, *succ; |
389 | if (y != NULL) { |
390 | if (pair._offset < rbn_key(y)) { |
391 | // as the left child |
392 | pred = PredecessorHelper(y->_parent, y); |
393 | succ = y; |
394 | IsNewNodeMergable(pred, succ, pair, &left_merge, &right_merge); |
395 | if (left_merge || right_merge) { |
396 | AbsorbNewNode( |
397 | pred, succ, pair, left_merge, right_merge, false); |
398 | } else { |
399 | // construct the node |
400 | Node::Pair mhsp {0, 0}; |
401 | node = |
402 | new Node(EColor::BLACK, pair, mhsp, nullptr, nullptr, nullptr); |
403 | if (!node) |
404 | return -1; |
405 | y->_left = node; |
406 | node->_parent = y; |
407 | RecalculateMhs(node); |
408 | } |
409 | |
410 | } else { |
411 | // as the right child |
412 | pred = y; |
413 | succ = SuccessorHelper(y->_parent, y); |
414 | IsNewNodeMergable(pred, succ, pair, &left_merge, &right_merge); |
415 | if (left_merge || right_merge) { |
416 | AbsorbNewNode( |
417 | pred, succ, pair, left_merge, right_merge, true); |
418 | } else { |
419 | // construct the node |
420 | Node::Pair mhsp {0, 0}; |
421 | node = |
422 | new Node(EColor::BLACK, pair, mhsp, nullptr, nullptr, nullptr); |
423 | if (!node) |
424 | return -1; |
425 | y->_right = node; |
426 | node->_parent = y; |
427 | RecalculateMhs(node); |
428 | } |
429 | } |
430 | } else { |
431 | Node::Pair mhsp {0, 0}; |
432 | node = new Node(EColor::BLACK, pair, mhsp, nullptr, nullptr, nullptr); |
433 | if (!node) |
434 | return -1; |
435 | root = node; |
436 | } |
437 | if (!left_merge && !right_merge) { |
438 | invariant_notnull(node); |
439 | node->_color = EColor::RED; |
440 | return InsertFixup(root, node); |
441 | } |
442 | return 0; |
443 | } |
444 | |
445 | int Tree::InsertFixup(Node *&root, Node *node) { |
446 | Node *parent, *gparent; |
447 | while ((parent = rbn_parent(node)) && rbn_is_red(parent)) { |
448 | gparent = rbn_parent(parent); |
449 | if (parent == gparent->_left) { |
450 | { |
451 | Node *uncle = gparent->_right; |
452 | if (uncle && rbn_is_red(uncle)) { |
453 | rbn_set_black(uncle); |
454 | rbn_set_black(parent); |
455 | rbn_set_red(gparent); |
456 | node = gparent; |
457 | continue; |
458 | } |
459 | } |
460 | |
461 | if (parent->_right == node) { |
462 | Node *tmp; |
463 | LeftRotate(root, parent); |
464 | tmp = parent; |
465 | parent = node; |
466 | node = tmp; |
467 | } |
468 | |
469 | rbn_set_black(parent); |
470 | rbn_set_red(gparent); |
471 | RightRotate(root, gparent); |
472 | } else { |
473 | { |
474 | Node *uncle = gparent->_left; |
475 | if (uncle && rbn_is_red(uncle)) { |
476 | rbn_set_black(uncle); |
477 | rbn_set_black(parent); |
478 | rbn_set_red(gparent); |
479 | node = gparent; |
480 | continue; |
481 | } |
482 | } |
483 | |
484 | if (parent->_left == node) { |
485 | Node *tmp; |
486 | RightRotate(root, parent); |
487 | tmp = parent; |
488 | parent = node; |
489 | node = tmp; |
490 | } |
491 | rbn_set_black(parent); |
492 | rbn_set_red(gparent); |
493 | LeftRotate(root, gparent); |
494 | } |
495 | } |
496 | rbn_set_black(root); |
497 | return 0; |
498 | } |
499 | |
500 | int Tree::Insert(Node::BlockPair pair) { return Insert(_root, pair); } |
501 | |
502 | uint64_t Tree::Remove(size_t size) { |
503 | Node *node = SearchFirstFitBySize(size); |
504 | return Remove(_root, node, size); |
505 | } |
506 | |
507 | void Tree::RawRemove(Node *&root, Node *node) { |
508 | Node *child, *parent; |
509 | EColor color; |
510 | |
511 | if ((node->_left != NULL) && (node->_right != NULL)) { |
512 | Node *replace = node; |
513 | replace = replace->_right; |
514 | while (replace->_left != NULL) |
515 | replace = replace->_left; |
516 | |
517 | if (rbn_parent(node)) { |
518 | if (rbn_parent(node)->_left == node) |
519 | rbn_parent(node)->_left = replace; |
520 | else |
521 | rbn_parent(node)->_right = replace; |
522 | } else { |
523 | root = replace; |
524 | } |
525 | child = replace->_right; |
526 | parent = rbn_parent(replace); |
527 | color = rbn_color(replace); |
528 | |
529 | if (parent == node) { |
530 | parent = replace; |
531 | } else { |
532 | if (child) |
533 | rbn_parent(child) = parent; |
534 | |
535 | parent->_left = child; |
536 | rbn_left_mhs(parent) = rbn_right_mhs(replace); |
537 | RecalculateMhs(parent); |
538 | replace->_right = node->_right; |
539 | rbn_set_parent(node->_right, replace); |
540 | rbn_right_mhs(replace) = rbn_right_mhs(node); |
541 | } |
542 | |
543 | replace->_parent = node->_parent; |
544 | replace->_color = node->_color; |
545 | replace->_left = node->_left; |
546 | rbn_left_mhs(replace) = rbn_left_mhs(node); |
547 | node->_left->_parent = replace; |
548 | RecalculateMhs(replace); |
549 | if (color == EColor::BLACK) |
550 | RawRemoveFixup(root, child, parent); |
551 | delete node; |
552 | return; |
553 | } |
554 | |
555 | if (node->_left != NULL) |
556 | child = node->_left; |
557 | else |
558 | child = node->_right; |
559 | |
560 | parent = node->_parent; |
561 | color = node->_color; |
562 | |
563 | if (child) |
564 | child->_parent = parent; |
565 | |
566 | if (parent) { |
567 | if (parent->_left == node) { |
568 | parent->_left = child; |
569 | rbn_left_mhs(parent) = child ? mhs_of_subtree(child) : 0; |
570 | } else { |
571 | parent->_right = child; |
572 | rbn_right_mhs(parent) = child ? mhs_of_subtree(child) : 0; |
573 | } |
574 | RecalculateMhs(parent); |
575 | } else |
576 | root = child; |
577 | if (color == EColor::BLACK) |
578 | RawRemoveFixup(root, child, parent); |
579 | delete node; |
580 | } |
581 | |
582 | void Tree::RawRemove(uint64_t offset) { |
583 | Node *node = SearchByOffset(offset); |
584 | RawRemove(_root, node); |
585 | } |
586 | static inline uint64_t align(uint64_t value, uint64_t ba_alignment) { |
587 | return ((value + ba_alignment - 1) / ba_alignment) * ba_alignment; |
588 | } |
589 | uint64_t Tree::Remove(Node *&root, Node *node, size_t size) { |
590 | OUUInt64 n_offset = rbn_offset(node); |
591 | OUUInt64 n_size = rbn_size(node); |
592 | OUUInt64 answer_offset(align(rbn_offset(node).ToInt(), _align)); |
593 | |
594 | invariant((answer_offset + size) <= (n_offset + n_size)); |
595 | if (answer_offset == n_offset) { |
596 | rbn_offset(node) += size; |
597 | rbn_size(node) -= size; |
598 | RecalculateMhs(node); |
599 | if (rbn_size(node) == 0) { |
600 | RawRemove(root, node); |
601 | } |
602 | |
603 | } else { |
604 | if (answer_offset + size == n_offset + n_size) { |
605 | rbn_size(node) -= size; |
606 | RecalculateMhs(node); |
607 | } else { |
608 | // well, cut in the middle... |
609 | rbn_size(node) = answer_offset - n_offset; |
610 | RecalculateMhs(node); |
611 | Insert(_root, |
612 | {(answer_offset + size), |
613 | (n_offset + n_size) - (answer_offset + size)}); |
614 | } |
615 | } |
616 | return answer_offset.ToInt(); |
617 | } |
618 | |
619 | void Tree::RawRemoveFixup(Node *&root, Node *node, Node *parent) { |
620 | Node *other; |
621 | while ((!node || rbn_is_black(node)) && node != root) { |
622 | if (parent->_left == node) { |
623 | other = parent->_right; |
624 | if (rbn_is_red(other)) { |
625 | // Case 1: the brother of X, w, is read |
626 | rbn_set_black(other); |
627 | rbn_set_red(parent); |
628 | LeftRotate(root, parent); |
629 | other = parent->_right; |
630 | } |
631 | if ((!other->_left || rbn_is_black(other->_left)) && |
632 | (!other->_right || rbn_is_black(other->_right))) { |
633 | // Case 2: w is black and both of w's children are black |
634 | rbn_set_red(other); |
635 | node = parent; |
636 | parent = rbn_parent(node); |
637 | } else { |
638 | if (!other->_right || rbn_is_black(other->_right)) { |
639 | // Case 3: w is black and left child of w is red but |
640 | // right |
641 | // child is black |
642 | rbn_set_black(other->_left); |
643 | rbn_set_red(other); |
644 | RightRotate(root, other); |
645 | other = parent->_right; |
646 | } |
647 | // Case 4: w is black and right child of w is red, |
648 | // regardless of |
649 | // left child's color |
650 | rbn_set_color(other, rbn_color(parent)); |
651 | rbn_set_black(parent); |
652 | rbn_set_black(other->_right); |
653 | LeftRotate(root, parent); |
654 | node = root; |
655 | break; |
656 | } |
657 | } else { |
658 | other = parent->_left; |
659 | if (rbn_is_red(other)) { |
660 | // Case 1: w is red |
661 | rbn_set_black(other); |
662 | rbn_set_red(parent); |
663 | RightRotate(root, parent); |
664 | other = parent->_left; |
665 | } |
666 | if ((!other->_left || rbn_is_black(other->_left)) && |
667 | (!other->_right || rbn_is_black(other->_right))) { |
668 | // Case 2: w is black and both children are black |
669 | rbn_set_red(other); |
670 | node = parent; |
671 | parent = rbn_parent(node); |
672 | } else { |
673 | if (!other->_left || rbn_is_black(other->_left)) { |
674 | // Case 3: w is black and left child of w is red whereas |
675 | // right child is black |
676 | rbn_set_black(other->_right); |
677 | rbn_set_red(other); |
678 | LeftRotate(root, other); |
679 | other = parent->_left; |
680 | } |
681 | // Case 4:w is black and right child of w is red, regardless |
682 | // of |
683 | // the left child's color |
684 | rbn_set_color(other, rbn_color(parent)); |
685 | rbn_set_black(parent); |
686 | rbn_set_black(other->_left); |
687 | RightRotate(root, parent); |
688 | node = root; |
689 | break; |
690 | } |
691 | } |
692 | } |
693 | if (node) |
694 | rbn_set_black(node); |
695 | } |
696 | |
697 | void Tree::Destroy(Node *&tree) { |
698 | if (tree == NULL) |
699 | return; |
700 | |
701 | if (tree->_left != NULL) |
702 | Destroy(tree->_left); |
703 | if (tree->_right != NULL) |
704 | Destroy(tree->_right); |
705 | |
706 | delete tree; |
707 | tree = NULL; |
708 | } |
709 | |
710 | void Tree::Destroy() { Destroy(_root); } |
711 | |
712 | void Tree::Dump(Node *tree, Node::BlockPair pair, EDirection dir) { |
713 | if (tree != NULL) { |
714 | if (dir == EDirection::NONE) |
715 | fprintf(stderr, |
716 | "(%" PRIu64 ",%" PRIu64 ", mhs:(%" PRIu64 ",%" PRIu64 |
717 | "))(B) is root\n" , |
718 | rbn_offset(tree).ToInt(), |
719 | rbn_size(tree).ToInt(), |
720 | rbn_left_mhs(tree), |
721 | rbn_right_mhs(tree)); |
722 | else |
723 | fprintf(stderr, |
724 | "(%" PRIu64 ",%" PRIu64 ",mhs:(%" PRIu64 ",%" PRIu64 |
725 | "))(%c) is %" PRIu64 "'s %s\n" , |
726 | rbn_offset(tree).ToInt(), |
727 | rbn_size(tree).ToInt(), |
728 | rbn_left_mhs(tree), |
729 | rbn_right_mhs(tree), |
730 | rbn_is_red(tree) ? 'R' : 'B', |
731 | pair._offset.ToInt(), |
732 | dir == EDirection::RIGHT ? "right child" : "left child" ); |
733 | |
734 | Dump(tree->_left, tree->_hole, EDirection::LEFT); |
735 | Dump(tree->_right, tree->_hole, EDirection::RIGHT); |
736 | } |
737 | } |
738 | |
739 | uint64_t Tree::EffectiveSize(Node *node) { |
740 | OUUInt64 offset = rbn_offset(node); |
741 | OUUInt64 size = rbn_size(node); |
742 | OUUInt64 end = offset + size; |
743 | OUUInt64 aligned_offset(align(offset.ToInt(), _align)); |
744 | if (aligned_offset > end) { |
745 | return 0; |
746 | } |
747 | return (end - aligned_offset).ToInt(); |
748 | } |
749 | |
750 | void Tree::Dump() { |
751 | if (_root != NULL) |
752 | Dump(_root, _root->_hole, (EDirection)0); |
753 | } |
754 | |
755 | static void vis_bal_f(void *, Node *node, uint64_t depth) { |
756 | uint64_t **p = (uint64_t **)extra; |
757 | uint64_t min = *p[0]; |
758 | uint64_t max = *p[1]; |
759 | if (node->_left) { |
760 | Node *left = node->_left; |
761 | invariant(node == left->_parent); |
762 | } |
763 | |
764 | if (node->_right) { |
765 | Node *right = node->_right; |
766 | invariant(node == right->_parent); |
767 | } |
768 | |
769 | if (!node->_left || !node->_right) { |
770 | if (min > depth) { |
771 | *p[0] = depth; |
772 | } else if (max < depth) { |
773 | *p[1] = depth; |
774 | } |
775 | } |
776 | } |
777 | |
778 | void Tree::ValidateBalance() { |
779 | uint64_t min_depth = 0xffffffffffffffff; |
780 | uint64_t max_depth = 0; |
781 | if (!_root) { |
782 | return; |
783 | } |
784 | uint64_t *p[2] = {&min_depth, &max_depth}; |
785 | InOrderVisitor(vis_bal_f, (void *)p); |
786 | invariant((min_depth + 1) * 2 >= max_depth + 1); |
787 | } |
788 | |
789 | static void vis_cmp_f(void *, Node *node, uint64_t UU(depth)) { |
790 | Node::BlockPair **p = (Node::BlockPair **)extra; |
791 | |
792 | invariant_notnull(*p); |
793 | invariant((*p)->_offset == node->_hole._offset); |
794 | |
795 | *p = *p + 1; |
796 | } |
797 | |
798 | // validate the input pairs matches with sorted pairs |
799 | void Tree::ValidateInOrder(Node::BlockPair *pairs) { |
800 | InOrderVisitor(vis_cmp_f, &pairs); |
801 | } |
802 | |
803 | uint64_t Tree::ValidateMhs(Node *node) { |
804 | if (!node) |
805 | return 0; |
806 | else { |
807 | uint64_t mhs_left = ValidateMhs(node->_left); |
808 | uint64_t mhs_right = ValidateMhs(node->_right); |
809 | if (mhs_left != rbn_left_mhs(node)) { |
810 | printf("assert failure: mhs_left = %" PRIu64 "\n" , mhs_left); |
811 | Dump(node, node->_hole, (EDirection)0); |
812 | } |
813 | invariant(mhs_left == rbn_left_mhs(node)); |
814 | |
815 | if (mhs_right != rbn_right_mhs(node)) { |
816 | printf("assert failure: mhs_right = %" PRIu64 "\n" , mhs_right); |
817 | Dump(node, node->_hole, (EDirection)0); |
818 | } |
819 | invariant(mhs_right == rbn_right_mhs(node)); |
820 | return std::max(EffectiveSize(node), std::max(mhs_left, mhs_right)); |
821 | } |
822 | } |
823 | |
824 | void Tree::ValidateMhs() { |
825 | if (!_root) |
826 | return; |
827 | uint64_t mhs_left = ValidateMhs(_root->_left); |
828 | uint64_t mhs_right = ValidateMhs(_root->_right); |
829 | invariant(mhs_left == rbn_left_mhs(_root)); |
830 | invariant(mhs_right == rbn_right_mhs(_root)); |
831 | } |
832 | |
833 | } // namespace MhsRbTree |
834 | |