Line data Source code
1 : /*-------------------------------------------------------------------------
2 : *
3 : * rbtree.c
4 : * implementation for PostgreSQL generic Red-Black binary tree package
5 : * Adopted from http://algolist.manual.ru/ds/rbtree.php
6 : *
7 : * This code comes from Thomas Niemann's "Sorting and Searching Algorithms:
8 : * a Cookbook".
9 : *
10 : * See http://www.cs.auckland.ac.nz/software/AlgAnim/niemann/s_man.htm for
11 : * license terms: "Source code, when part of a software project, may be used
12 : * freely without reference to the author."
13 : *
14 : * Red-black trees are a type of balanced binary tree wherein (1) any child of
15 : * a red node is always black, and (2) every path from root to leaf traverses
16 : * an equal number of black nodes. From these properties, it follows that the
17 : * longest path from root to leaf is only about twice as long as the shortest,
18 : * so lookups are guaranteed to run in O(lg n) time.
19 : *
20 : * Copyright (c) 2009-2025, PostgreSQL Global Development Group
21 : *
22 : * IDENTIFICATION
23 : * src/backend/lib/rbtree.c
24 : *
25 : *-------------------------------------------------------------------------
26 : */
27 : #include "postgres.h"
28 :
29 : #include "lib/rbtree.h"
30 :
31 :
32 : /*
33 : * Colors of nodes (values of RBTNode.color)
34 : */
35 : #define RBTBLACK (0)
36 : #define RBTRED (1)
37 :
38 : /*
39 : * RBTree control structure
40 : */
41 : struct RBTree
42 : {
43 : RBTNode *root; /* root node, or RBTNIL if tree is empty */
44 :
45 : /* Remaining fields are constant after rbt_create */
46 :
47 : Size node_size; /* actual size of tree nodes */
48 : /* The caller-supplied manipulation functions */
49 : rbt_comparator comparator;
50 : rbt_combiner combiner;
51 : rbt_allocfunc allocfunc;
52 : rbt_freefunc freefunc;
53 : /* Passthrough arg passed to all manipulation functions */
54 : void *arg;
55 : };
56 :
57 : /*
58 : * all leafs are sentinels, use customized NIL name to prevent
59 : * collision with system-wide constant NIL which is actually NULL
60 : */
61 : #define RBTNIL (&sentinel)
62 :
63 : static RBTNode sentinel =
64 : {
65 : .color = RBTBLACK,.left = RBTNIL,.right = RBTNIL,.parent = NULL
66 : };
67 :
68 :
69 : /*
70 : * rbt_create: create an empty RBTree
71 : *
72 : * Arguments are:
73 : * node_size: actual size of tree nodes (> sizeof(RBTNode))
74 : * The manipulation functions:
75 : * comparator: compare two RBTNodes for less/equal/greater
76 : * combiner: merge an existing tree entry with a new one
77 : * allocfunc: allocate a new RBTNode
78 : * freefunc: free an old RBTNode
79 : * arg: passthrough pointer that will be passed to the manipulation functions
80 : *
81 : * Note that the combiner's righthand argument will be a "proposed" tree node,
82 : * ie the input to rbt_insert, in which the RBTNode fields themselves aren't
83 : * valid. Similarly, either input to the comparator may be a "proposed" node.
84 : * This shouldn't matter since the functions aren't supposed to look at the
85 : * RBTNode fields, only the extra fields of the struct the RBTNode is embedded
86 : * in.
87 : *
88 : * The freefunc should just be pfree or equivalent; it should NOT attempt
89 : * to free any subsidiary data, because the node passed to it may not contain
90 : * valid data! freefunc can be NULL if caller doesn't require retail
91 : * space reclamation.
92 : *
93 : * The RBTree node is palloc'd in the caller's memory context. Note that
94 : * all contents of the tree are actually allocated by the caller, not here.
95 : *
96 : * Since tree contents are managed by the caller, there is currently not
97 : * an explicit "destroy" operation; typically a tree would be freed by
98 : * resetting or deleting the memory context it's stored in. You can pfree
99 : * the RBTree node if you feel the urge.
100 : */
101 : RBTree *
102 360 : rbt_create(Size node_size,
103 : rbt_comparator comparator,
104 : rbt_combiner combiner,
105 : rbt_allocfunc allocfunc,
106 : rbt_freefunc freefunc,
107 : void *arg)
108 : {
109 360 : RBTree *tree = (RBTree *) palloc(sizeof(RBTree));
110 :
111 : Assert(node_size > sizeof(RBTNode));
112 :
113 360 : tree->root = RBTNIL;
114 360 : tree->node_size = node_size;
115 360 : tree->comparator = comparator;
116 360 : tree->combiner = combiner;
117 360 : tree->allocfunc = allocfunc;
118 360 : tree->freefunc = freefunc;
119 :
120 360 : tree->arg = arg;
121 :
122 360 : return tree;
123 : }
124 :
125 : /* Copy the additional data fields from one RBTNode to another */
126 : static inline void
127 640676 : rbt_copy_data(RBTree *rbt, RBTNode *dest, const RBTNode *src)
128 : {
129 640676 : memcpy(dest + 1, src + 1, rbt->node_size - sizeof(RBTNode));
130 640676 : }
131 :
132 : /**********************************************************************
133 : * Search *
134 : **********************************************************************/
135 :
136 : /*
137 : * rbt_find: search for a value in an RBTree
138 : *
139 : * data represents the value to try to find. Its RBTNode fields need not
140 : * be valid, it's the extra data in the larger struct that is of interest.
141 : *
142 : * Returns the matching tree entry, or NULL if no match is found.
143 : */
144 : RBTNode *
145 80002 : rbt_find(RBTree *rbt, const RBTNode *data)
146 : {
147 80002 : RBTNode *node = rbt->root;
148 :
149 983656 : while (node != RBTNIL)
150 : {
151 961654 : int cmp = rbt->comparator(data, node, rbt->arg);
152 :
153 961654 : if (cmp == 0)
154 58000 : return node;
155 903654 : else if (cmp < 0)
156 512710 : node = node->left;
157 : else
158 390944 : node = node->right;
159 : }
160 :
161 22002 : return NULL;
162 : }
163 :
164 : /*
165 : * rbt_find_great: search for a greater value in an RBTree
166 : *
167 : * If equal_match is true, this will be a great or equal search.
168 : *
169 : * Returns the matching tree entry, or NULL if no match is found.
170 : */
171 : RBTNode *
172 16930 : rbt_find_great(RBTree *rbt, const RBTNode *data, bool equal_match)
173 : {
174 16930 : RBTNode *node = rbt->root;
175 16930 : RBTNode *greater = NULL;
176 :
177 234798 : while (node != RBTNIL)
178 : {
179 217870 : int cmp = rbt->comparator(data, node, rbt->arg);
180 :
181 217870 : if (equal_match && cmp == 0)
182 2 : return node;
183 217868 : else if (cmp < 0)
184 : {
185 106614 : greater = node;
186 106614 : node = node->left;
187 : }
188 : else
189 111254 : node = node->right;
190 : }
191 :
192 16928 : return greater;
193 : }
194 :
195 : /*
196 : * rbt_find_less: search for a lesser value in an RBTree
197 : *
198 : * If equal_match is true, this will be a less or equal search.
199 : *
200 : * Returns the matching tree entry, or NULL if no match is found.
201 : */
202 : RBTNode *
203 3080 : rbt_find_less(RBTree *rbt, const RBTNode *data, bool equal_match)
204 : {
205 3080 : RBTNode *node = rbt->root;
206 3080 : RBTNode *lesser = NULL;
207 :
208 41048 : while (node != RBTNIL)
209 : {
210 37970 : int cmp = rbt->comparator(data, node, rbt->arg);
211 :
212 37970 : if (equal_match && cmp == 0)
213 2 : return node;
214 37968 : else if (cmp > 0)
215 : {
216 16668 : lesser = node;
217 16668 : node = node->right;
218 : }
219 : else
220 21300 : node = node->left;
221 : }
222 :
223 3078 : return lesser;
224 : }
225 :
226 : /*
227 : * rbt_leftmost: fetch the leftmost (smallest-valued) tree node.
228 : * Returns NULL if tree is empty.
229 : *
230 : * Note: in the original implementation this included an unlink step, but
231 : * that's a bit awkward. Just call rbt_delete on the result if that's what
232 : * you want.
233 : */
234 : RBTNode *
235 6 : rbt_leftmost(RBTree *rbt)
236 : {
237 6 : RBTNode *node = rbt->root;
238 6 : RBTNode *leftmost = rbt->root;
239 :
240 34 : while (node != RBTNIL)
241 : {
242 28 : leftmost = node;
243 28 : node = node->left;
244 : }
245 :
246 6 : if (leftmost != RBTNIL)
247 2 : return leftmost;
248 :
249 4 : return NULL;
250 : }
251 :
252 : /**********************************************************************
253 : * Insertion *
254 : **********************************************************************/
255 :
256 : /*
257 : * Rotate node x to left.
258 : *
259 : * x's right child takes its place in the tree, and x becomes the left
260 : * child of that node.
261 : */
262 : static void
263 537728 : rbt_rotate_left(RBTree *rbt, RBTNode *x)
264 : {
265 537728 : RBTNode *y = x->right;
266 :
267 : /* establish x->right link */
268 537728 : x->right = y->left;
269 537728 : if (y->left != RBTNIL)
270 259874 : y->left->parent = x;
271 :
272 : /* establish y->parent link */
273 537728 : if (y != RBTNIL)
274 537728 : y->parent = x->parent;
275 537728 : if (x->parent)
276 : {
277 536822 : if (x == x->parent->left)
278 164870 : x->parent->left = y;
279 : else
280 371952 : x->parent->right = y;
281 : }
282 : else
283 : {
284 906 : rbt->root = y;
285 : }
286 :
287 : /* link x and y */
288 537728 : y->left = x;
289 537728 : if (x != RBTNIL)
290 537728 : x->parent = y;
291 537728 : }
292 :
293 : /*
294 : * Rotate node x to right.
295 : *
296 : * x's left right child takes its place in the tree, and x becomes the right
297 : * child of that node.
298 : */
299 : static void
300 141150 : rbt_rotate_right(RBTree *rbt, RBTNode *x)
301 : {
302 141150 : RBTNode *y = x->left;
303 :
304 : /* establish x->left link */
305 141150 : x->left = y->right;
306 141150 : if (y->right != RBTNIL)
307 44878 : y->right->parent = x;
308 :
309 : /* establish y->parent link */
310 141150 : if (y != RBTNIL)
311 141150 : y->parent = x->parent;
312 141150 : if (x->parent)
313 : {
314 141046 : if (x == x->parent->right)
315 124718 : x->parent->right = y;
316 : else
317 16328 : x->parent->left = y;
318 : }
319 : else
320 : {
321 104 : rbt->root = y;
322 : }
323 :
324 : /* link x and y */
325 141150 : y->right = x;
326 141150 : if (x != RBTNIL)
327 141150 : x->parent = y;
328 141150 : }
329 :
330 : /*
331 : * Maintain Red-Black tree balance after inserting node x.
332 : *
333 : * The newly inserted node is always initially marked red. That may lead to
334 : * a situation where a red node has a red child, which is prohibited. We can
335 : * always fix the problem by a series of color changes and/or "rotations",
336 : * which move the problem progressively higher up in the tree. If one of the
337 : * two red nodes is the root, we can always fix the problem by changing the
338 : * root from red to black.
339 : *
340 : * (This does not work lower down in the tree because we must also maintain
341 : * the invariant that every leaf has equal black-height.)
342 : */
343 : static void
344 635240 : rbt_insert_fixup(RBTree *rbt, RBTNode *x)
345 : {
346 : /*
347 : * x is always a red node. Initially, it is the newly inserted node. Each
348 : * iteration of this loop moves it higher up in the tree.
349 : */
350 1732874 : while (x != rbt->root && x->parent->color == RBTRED)
351 : {
352 : /*
353 : * x and x->parent are both red. Fix depends on whether x->parent is
354 : * a left or right child. In either case, we define y to be the
355 : * "uncle" of x, that is, the other child of x's grandparent.
356 : *
357 : * If the uncle is red, we flip the grandparent to red and its two
358 : * children to black. Then we loop around again to check whether the
359 : * grandparent still has a problem.
360 : *
361 : * If the uncle is black, we will perform one or two "rotations" to
362 : * balance the tree. Either x or x->parent will take the
363 : * grandparent's position in the tree and recolored black, and the
364 : * original grandparent will be recolored red and become a child of
365 : * that node. This always leaves us with a valid red-black tree, so
366 : * the loop will terminate.
367 : */
368 1097634 : if (x->parent == x->parent->parent->left)
369 : {
370 161156 : RBTNode *y = x->parent->parent->right;
371 :
372 161156 : if (y->color == RBTRED)
373 : {
374 : /* uncle is RBTRED */
375 38854 : x->parent->color = RBTBLACK;
376 38854 : y->color = RBTBLACK;
377 38854 : x->parent->parent->color = RBTRED;
378 :
379 38854 : x = x->parent->parent;
380 : }
381 : else
382 : {
383 : /* uncle is RBTBLACK */
384 122302 : if (x == x->parent->right)
385 : {
386 : /* make x a left child */
387 107686 : x = x->parent;
388 107686 : rbt_rotate_left(rbt, x);
389 : }
390 :
391 : /* recolor and rotate */
392 122302 : x->parent->color = RBTBLACK;
393 122302 : x->parent->parent->color = RBTRED;
394 :
395 122302 : rbt_rotate_right(rbt, x->parent->parent);
396 : }
397 : }
398 : else
399 : {
400 : /* mirror image of above code */
401 936478 : RBTNode *y = x->parent->parent->left;
402 :
403 936478 : if (y->color == RBTRED)
404 : {
405 : /* uncle is RBTRED */
406 519140 : x->parent->color = RBTBLACK;
407 519140 : y->color = RBTBLACK;
408 519140 : x->parent->parent->color = RBTRED;
409 :
410 519140 : x = x->parent->parent;
411 : }
412 : else
413 : {
414 : /* uncle is RBTBLACK */
415 417338 : if (x == x->parent->left)
416 : {
417 15016 : x = x->parent;
418 15016 : rbt_rotate_right(rbt, x);
419 : }
420 417338 : x->parent->color = RBTBLACK;
421 417338 : x->parent->parent->color = RBTRED;
422 :
423 417338 : rbt_rotate_left(rbt, x->parent->parent);
424 : }
425 : }
426 : }
427 :
428 : /*
429 : * The root may already have been black; if not, the black-height of every
430 : * node in the tree increases by one.
431 : */
432 635240 : rbt->root->color = RBTBLACK;
433 635240 : }
434 :
435 : /*
436 : * rbt_insert: insert a new value into the tree.
437 : *
438 : * data represents the value to insert. Its RBTNode fields need not
439 : * be valid, it's the extra data in the larger struct that is of interest.
440 : *
441 : * If the value represented by "data" is not present in the tree, then
442 : * we copy "data" into a new tree entry and return that node, setting *isNew
443 : * to true.
444 : *
445 : * If the value represented by "data" is already present, then we call the
446 : * combiner function to merge data into the existing node, and return the
447 : * existing node, setting *isNew to false.
448 : *
449 : * "data" is unmodified in either case; it's typically just a local
450 : * variable in the caller.
451 : */
452 : RBTNode *
453 2642252 : rbt_insert(RBTree *rbt, const RBTNode *data, bool *isNew)
454 : {
455 : RBTNode *current,
456 : *parent,
457 : *x;
458 : int cmp;
459 :
460 : /* find where node belongs */
461 2642252 : current = rbt->root;
462 2642252 : parent = NULL;
463 2642252 : cmp = 0; /* just to prevent compiler warning */
464 :
465 27532496 : while (current != RBTNIL)
466 : {
467 26897256 : cmp = rbt->comparator(data, current, rbt->arg);
468 26897256 : if (cmp == 0)
469 : {
470 : /*
471 : * Found node with given key. Apply combiner.
472 : */
473 2007012 : rbt->combiner(current, data, rbt->arg);
474 2007012 : *isNew = false;
475 2007012 : return current;
476 : }
477 24890244 : parent = current;
478 24890244 : current = (cmp < 0) ? current->left : current->right;
479 : }
480 :
481 : /*
482 : * Value is not present, so create a new node containing data.
483 : */
484 635240 : *isNew = true;
485 :
486 635240 : x = rbt->allocfunc(rbt->arg);
487 :
488 635240 : x->color = RBTRED;
489 :
490 635240 : x->left = RBTNIL;
491 635240 : x->right = RBTNIL;
492 635240 : x->parent = parent;
493 635240 : rbt_copy_data(rbt, x, data);
494 :
495 : /* insert node in tree */
496 635240 : if (parent)
497 : {
498 634926 : if (cmp < 0)
499 136996 : parent->left = x;
500 : else
501 497930 : parent->right = x;
502 : }
503 : else
504 : {
505 314 : rbt->root = x;
506 : }
507 :
508 635240 : rbt_insert_fixup(rbt, x);
509 :
510 635240 : return x;
511 : }
512 :
513 : /**********************************************************************
514 : * Deletion *
515 : **********************************************************************/
516 :
517 : /*
518 : * Maintain Red-Black tree balance after deleting a black node.
519 : */
520 : static void
521 26504 : rbt_delete_fixup(RBTree *rbt, RBTNode *x)
522 : {
523 : /*
524 : * x is always a black node. Initially, it is the former child of the
525 : * deleted node. Each iteration of this loop moves it higher up in the
526 : * tree.
527 : */
528 48690 : while (x != rbt->root && x->color == RBTBLACK)
529 : {
530 : /*
531 : * Left and right cases are symmetric. Any nodes that are children of
532 : * x have a black-height one less than the remainder of the nodes in
533 : * the tree. We rotate and recolor nodes to move the problem up the
534 : * tree: at some stage we'll either fix the problem, or reach the root
535 : * (where the black-height is allowed to decrease).
536 : */
537 22186 : if (x == x->parent->left)
538 : {
539 19370 : RBTNode *w = x->parent->right;
540 :
541 19370 : if (w->color == RBTRED)
542 : {
543 4580 : w->color = RBTBLACK;
544 4580 : x->parent->color = RBTRED;
545 :
546 4580 : rbt_rotate_left(rbt, x->parent);
547 4580 : w = x->parent->right;
548 : }
549 :
550 19370 : if (w->left->color == RBTBLACK && w->right->color == RBTBLACK)
551 : {
552 11616 : w->color = RBTRED;
553 :
554 11616 : x = x->parent;
555 : }
556 : else
557 : {
558 7754 : if (w->right->color == RBTBLACK)
559 : {
560 2552 : w->left->color = RBTBLACK;
561 2552 : w->color = RBTRED;
562 :
563 2552 : rbt_rotate_right(rbt, w);
564 2552 : w = x->parent->right;
565 : }
566 7754 : w->color = x->parent->color;
567 7754 : x->parent->color = RBTBLACK;
568 7754 : w->right->color = RBTBLACK;
569 :
570 7754 : rbt_rotate_left(rbt, x->parent);
571 7754 : x = rbt->root; /* Arrange for loop to terminate. */
572 : }
573 : }
574 : else
575 : {
576 2816 : RBTNode *w = x->parent->left;
577 :
578 2816 : if (w->color == RBTRED)
579 : {
580 286 : w->color = RBTBLACK;
581 286 : x->parent->color = RBTRED;
582 :
583 286 : rbt_rotate_right(rbt, x->parent);
584 286 : w = x->parent->left;
585 : }
586 :
587 2816 : if (w->right->color == RBTBLACK && w->left->color == RBTBLACK)
588 : {
589 1822 : w->color = RBTRED;
590 :
591 1822 : x = x->parent;
592 : }
593 : else
594 : {
595 994 : if (w->left->color == RBTBLACK)
596 : {
597 370 : w->right->color = RBTBLACK;
598 370 : w->color = RBTRED;
599 :
600 370 : rbt_rotate_left(rbt, w);
601 370 : w = x->parent->left;
602 : }
603 994 : w->color = x->parent->color;
604 994 : x->parent->color = RBTBLACK;
605 994 : w->left->color = RBTBLACK;
606 :
607 994 : rbt_rotate_right(rbt, x->parent);
608 994 : x = rbt->root; /* Arrange for loop to terminate. */
609 : }
610 : }
611 : }
612 26504 : x->color = RBTBLACK;
613 26504 : }
614 :
615 : /*
616 : * Delete node z from tree.
617 : */
618 : static void
619 30182 : rbt_delete_node(RBTree *rbt, RBTNode *z)
620 : {
621 : RBTNode *x,
622 : *y;
623 :
624 : /* This is just paranoia: we should only get called on a valid node */
625 30182 : if (!z || z == RBTNIL)
626 0 : return;
627 :
628 : /*
629 : * y is the node that will actually be removed from the tree. This will
630 : * be z if z has fewer than two children, or the tree successor of z
631 : * otherwise.
632 : */
633 30182 : if (z->left == RBTNIL || z->right == RBTNIL)
634 : {
635 : /* y has a RBTNIL node as a child */
636 24746 : y = z;
637 : }
638 : else
639 : {
640 : /* find tree successor */
641 5436 : y = z->right;
642 12950 : while (y->left != RBTNIL)
643 7514 : y = y->left;
644 : }
645 :
646 : /* x is y's only child */
647 30182 : if (y->left != RBTNIL)
648 826 : x = y->left;
649 : else
650 29356 : x = y->right;
651 :
652 : /* Remove y from the tree. */
653 30182 : x->parent = y->parent;
654 30182 : if (y->parent)
655 : {
656 30178 : if (y == y->parent->left)
657 25204 : y->parent->left = x;
658 : else
659 4974 : y->parent->right = x;
660 : }
661 : else
662 : {
663 4 : rbt->root = x;
664 : }
665 :
666 : /*
667 : * If we removed the tree successor of z rather than z itself, then move
668 : * the data for the removed node to the one we were supposed to remove.
669 : */
670 30182 : if (y != z)
671 5436 : rbt_copy_data(rbt, z, y);
672 :
673 : /*
674 : * Removing a black node might make some paths from root to leaf contain
675 : * fewer black nodes than others, or it might make two red nodes adjacent.
676 : */
677 30182 : if (y->color == RBTBLACK)
678 26504 : rbt_delete_fixup(rbt, x);
679 :
680 : /* Now we can recycle the y node */
681 30182 : if (rbt->freefunc)
682 30182 : rbt->freefunc(y, rbt->arg);
683 : }
684 :
685 : /*
686 : * rbt_delete: remove the given tree entry
687 : *
688 : * "node" must have previously been found via rbt_find or rbt_leftmost.
689 : * It is caller's responsibility to free any subsidiary data attached
690 : * to the node before calling rbt_delete. (Do *not* try to push that
691 : * responsibility off to the freefunc, as some other physical node
692 : * may be the one actually freed!)
693 : */
694 : void
695 30182 : rbt_delete(RBTree *rbt, RBTNode *node)
696 : {
697 30182 : rbt_delete_node(rbt, node);
698 30182 : }
699 :
700 : /**********************************************************************
701 : * Traverse *
702 : **********************************************************************/
703 :
704 : static RBTNode *
705 535544 : rbt_left_right_iterator(RBTreeIterator *iter)
706 : {
707 535544 : if (iter->last_visited == NULL)
708 : {
709 304 : iter->last_visited = iter->rbt->root;
710 1774 : while (iter->last_visited->left != RBTNIL)
711 1470 : iter->last_visited = iter->last_visited->left;
712 :
713 304 : return iter->last_visited;
714 : }
715 :
716 535240 : if (iter->last_visited->right != RBTNIL)
717 : {
718 267636 : iter->last_visited = iter->last_visited->right;
719 533466 : while (iter->last_visited->left != RBTNIL)
720 265830 : iter->last_visited = iter->last_visited->left;
721 :
722 267636 : return iter->last_visited;
723 : }
724 :
725 : for (;;)
726 267636 : {
727 535240 : RBTNode *came_from = iter->last_visited;
728 :
729 535240 : iter->last_visited = iter->last_visited->parent;
730 535240 : if (iter->last_visited == NULL)
731 : {
732 304 : iter->is_over = true;
733 304 : break;
734 : }
735 :
736 534936 : if (iter->last_visited->left == came_from)
737 267300 : break; /* came from left sub-tree, return current
738 : * node */
739 :
740 : /* else - came from right sub-tree, continue to move up */
741 : }
742 :
743 267604 : return iter->last_visited;
744 : }
745 :
746 : static RBTNode *
747 20002 : rbt_right_left_iterator(RBTreeIterator *iter)
748 : {
749 20002 : if (iter->last_visited == NULL)
750 : {
751 2 : iter->last_visited = iter->rbt->root;
752 24 : while (iter->last_visited->right != RBTNIL)
753 22 : iter->last_visited = iter->last_visited->right;
754 :
755 2 : return iter->last_visited;
756 : }
757 :
758 20000 : if (iter->last_visited->left != RBTNIL)
759 : {
760 9972 : iter->last_visited = iter->last_visited->left;
761 19976 : while (iter->last_visited->right != RBTNIL)
762 10004 : iter->last_visited = iter->last_visited->right;
763 :
764 9972 : return iter->last_visited;
765 : }
766 :
767 : for (;;)
768 9972 : {
769 20000 : RBTNode *came_from = iter->last_visited;
770 :
771 20000 : iter->last_visited = iter->last_visited->parent;
772 20000 : if (iter->last_visited == NULL)
773 : {
774 2 : iter->is_over = true;
775 2 : break;
776 : }
777 :
778 19998 : if (iter->last_visited->right == came_from)
779 10026 : break; /* came from right sub-tree, return current
780 : * node */
781 :
782 : /* else - came from left sub-tree, continue to move up */
783 : }
784 :
785 10028 : return iter->last_visited;
786 : }
787 :
788 : /*
789 : * rbt_begin_iterate: prepare to traverse the tree in any of several orders
790 : *
791 : * After calling rbt_begin_iterate, call rbt_iterate repeatedly until it
792 : * returns NULL or the traversal stops being of interest.
793 : *
794 : * If the tree is changed during traversal, results of further calls to
795 : * rbt_iterate are unspecified. Multiple concurrent iterators on the same
796 : * tree are allowed.
797 : *
798 : * The iterator state is stored in the 'iter' struct. The caller should
799 : * treat it as an opaque struct.
800 : */
801 : void
802 356 : rbt_begin_iterate(RBTree *rbt, RBTOrderControl ctrl, RBTreeIterator *iter)
803 : {
804 : /* Common initialization for all traversal orders */
805 356 : iter->rbt = rbt;
806 356 : iter->last_visited = NULL;
807 356 : iter->is_over = (rbt->root == RBTNIL);
808 :
809 356 : switch (ctrl)
810 : {
811 352 : case LeftRightWalk: /* visit left, then self, then right */
812 352 : iter->iterate = rbt_left_right_iterator;
813 352 : break;
814 4 : case RightLeftWalk: /* visit right, then self, then left */
815 4 : iter->iterate = rbt_right_left_iterator;
816 4 : break;
817 0 : default:
818 0 : elog(ERROR, "unrecognized rbtree iteration order: %d", ctrl);
819 : }
820 356 : }
821 :
822 : /*
823 : * rbt_iterate: return the next node in traversal order, or NULL if no more
824 : */
825 : RBTNode *
826 555596 : rbt_iterate(RBTreeIterator *iter)
827 : {
828 555596 : if (iter->is_over)
829 50 : return NULL;
830 :
831 555546 : return iter->iterate(iter);
832 : }
|
