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quadtree: Add better nearest neighborhood search
[sdl-planets] / quadtree.c
1 #include <stdio.h>
2 #include <stdlib.h>
3
4 #include "quadtree.h"
5
6 #ifdef DEBUG
7 #define debug 1
8 #else
9 #define debug 0
10 #endif
11
12 static void _trap(int line)
13 {
14         if (debug) {
15                 printf("Trapped from line %d, use debugger to get backtrace\n",
16                         line);
17                 fflush(stdout);
18                 exit(1);
19         }
20 }
21
22 #define trap() _trap(__LINE__)
23
24 static int quadtree_compare_coord(const struct vector *a,
25                                 const struct vector *b)
26 {
27         int up, left;
28
29         up = b->y < a->y;
30         left = b->x < a->x;
31
32         if (up && left)
33                 return 0;
34         if (up && !left)
35                 return 1;
36         if (left)
37                 return 2;
38         return 3;
39 }
40
41 static int quadtree_compare(const struct quadtree *a, const struct quadtree *b)
42 {
43         return quadtree_compare_coord(&a->pos, &b->pos);
44 }
45
46 static void validate_subtree(const struct quadtree *node)
47 {
48         int i, dir;
49         long int children;
50         children = 0;
51
52         if (!node) {
53                 printf("Attempted to validate a null pointer\n");
54                 fflush(stdout);
55                 trap();
56         }
57
58         for (i = 0; i < 4; i++) {
59                 if (!node->child[i])
60                         continue;
61
62                 if (node->child[i]->parent != node) {
63                         printf("%s:%d Fatal! Tree inconsistency detected at "
64                                "child %d %p in node %p, incorrent parent %p\n",
65                                __func__, __LINE__, i, node->child[i], node,
66                                node->child[i]->parent);
67                         fflush(stdout);
68                         trap();
69                 }
70
71                 if (node->parent) {
72                         if (node->child[i] == node->parent) {
73                                 printf("%s:%d Fatal! Tree loop detected "
74                                        "at child %d in node %p\n",
75                                        __func__, __LINE__, i, node);
76                                 fflush(stdout);
77                                 trap();
78                         }
79                 }
80
81                 dir = quadtree_compare(node, node->child[i]);
82
83                 if (dir != i) {
84                         printf("%s:%d Fatal! Spatial inconsistency detected "
85                                 "at child %d in node %p\n"
86                                 "parent: (%f %f), child (%f %f), "
87                                 "dir %d != %d\n",
88                                 __func__, __LINE__, i, node,
89                                 node->pos.x, node->pos.y,
90                                 node->child[i]->pos.x, node->child[i]->pos.y,
91                                 dir, i);
92                         fflush(stdout);
93                         trap();
94                 }
95
96                 children += node->child[i]->children + 1;
97
98                 validate_subtree(node->child[i]);
99         }
100
101         if (node->depth < 0) {
102                 printf("%s:%d Tree statistics inconsistency detected! "
103                        "Negative depth: %ld\n",
104                        __func__, __LINE__, node->depth);
105         }
106
107         if (node->children != children) {
108                 printf("%s:%d Tree statistics inconsistency detected! "
109                        "child count mismatch. Expected %ld, got %ld\n",
110                        __func__, __LINE__, children, node->children);
111                 fflush(stdout);
112                 trap();
113         }
114
115         for (i = 0; i < 4 && node->children; i++) {
116                 if (!node->child[i])
117                         continue;
118
119                 if (node->depth == node->child[i]->depth + 1)
120                         break;
121
122                 if (node->child[i]->depth > node->depth) {
123                         printf("%s:%d Tree statistics inconsistency detected! "
124                                "child depth mismatch %ld > %ld\n",
125                                __func__, __LINE__, node->child[i]->depth,
126                                node->depth);
127                 }
128         }
129
130         if (i == 4) {
131                 printf("%s:%d Tree statistics inconsistency detected! "
132                        "child depth mismatch.",
133                        __func__, __LINE__);
134                 fflush(stdout);
135                 trap();
136         }
137 }
138
139 static void validate_tree(const struct quadtree *node)
140 {
141         int i;
142
143         if (!debug)
144                 return;
145
146         if (!node->parent)
147                 return validate_subtree(node);
148
149         for (i = 0; i < 4; i++)
150                 if (node->parent->child[i] == node)
151                         break;
152
153         if (i == 4) {
154                 printf("%s:%d Tree inconsistency detected! "
155                         "Wrong parent %p for node %p\n",
156                         __func__, __LINE__, node->parent, node);
157                 fflush(stdout);
158                 trap();
159         }
160
161         validate_tree(node->parent);
162 }
163
164 void _quadtree_validate_tree(const struct quadtree *node)
165 {
166         validate_tree(node);
167 }
168
169 static struct quadtree *_quadtree_add(struct quadtree *parent,
170                                 struct quadtree *new)
171 {
172         int ret, i;
173
174         ret = quadtree_compare(parent, new);
175
176         if (ret < 0 || ret >= 4) {
177                 printf("Invalid comparison result of %d\n", ret);
178                 return 0;
179         }
180
181         if (parent->child[ret])
182                 return _quadtree_add(parent->child[ret], new);
183
184         parent->child[ret] = new;
185         new->parent = parent;
186         for (i = 0; i < 4; i++)
187                 new->child[i] = 0;
188
189         return new;
190 }
191
192 static void _recalculate_node_area_stats(struct quadtree *node)
193 {
194                 /* The space covered by the parent node's corner
195                  * points needs be as wide as its widest child node's
196                  * corners.
197                  */
198 #define CHILD_CORNER_SAFE(node, ch_idx, cor_idx, axis)          \
199         ((node)->child[ch_idx] ?                                \
200                 (node)->child[ch_idx]->corner[cor_idx].axis :   \
201                 (node)->pos.axis)
202
203                 node->corner[0].x = MIN(CHILD_CORNER_SAFE(node, 0, 0, x),
204                                         CHILD_CORNER_SAFE(node, 2, 0, x));
205                 node->corner[0].y = MIN(CHILD_CORNER_SAFE(node, 0, 0, y),
206                                         CHILD_CORNER_SAFE(node, 1, 0, y));
207                 node->corner[1].x = MAX(CHILD_CORNER_SAFE(node, 1, 1, x),
208                                         CHILD_CORNER_SAFE(node, 3, 1, x));
209                 node->corner[1].y = MAX(CHILD_CORNER_SAFE(node, 2, 1, y),
210                                         CHILD_CORNER_SAFE(node, 3, 1, y));
211 #undef CHILD_CORNER_SAFE
212 }
213
214 static void recalculate_parent_area_stats(struct quadtree *node)
215 {
216         while (node) {
217                 _recalculate_node_area_stats(node);
218
219                 node = node->parent;
220         }
221 }
222
223 /*
224  * Recursively walk through the tree and propagate changes made to the
225  * given node up until the highest parent.
226  */
227 static void quadtree_recalculate_parent_stats(struct quadtree *node,
228                                                      struct quadtree_ops *ops)
229 {
230         int i;
231
232         while (node) {
233                 node->depth = 0;
234                 node->children = 0;
235
236                 for (i = 0; i < 4; i++) {
237                         if (!node->child[i])
238                                 continue;
239
240                         node->depth = MAX(node->depth,
241                                           node->child[i]->depth + 1);
242                         node->children += node->child[i]->children + 1;
243                 }
244
245                 _recalculate_node_area_stats(node);
246
247                 if (ops->recalculate_stats)
248                         ops->recalculate_stats(node);
249
250                 node = node->parent;
251         }
252 }
253
254 /**
255  * quadtree_add - add a node to a quadtree
256  * @parent: parent node
257  * @new: the new node to be added
258  *
259  * Add a node to a quadtree. The tree is kept in order, the new node
260  * is placed in the end of appropriate branch.
261  *
262  * The case of nodes sharing identical coordinates is not taken into
263  * account at all.
264  */
265
266 struct quadtree *quadtree_add(struct quadtree *parent, struct quadtree *new,
267                               struct quadtree_ops *ops)
268 {
269         if (parent == new)
270                 trap();
271
272         validate_tree(parent);
273
274         _quadtree_add(parent, new);
275
276         if (debug) {
277                 printf("adding node %p to parent %p\n", new, parent);
278                 fflush(stdout);
279         }
280
281         quadtree_recalculate_parent_stats(new, ops);
282
283         validate_tree(new);
284
285         return new;
286 }
287
288 static int is_within(struct vector *pos, struct vector *corner)
289 {
290         if ((pos->x >= corner[1].x) && (pos->x <= corner[0].x) &&
291             (pos->y >= corner[1].y) && (pos->y <= corner[0].y))
292                 return 1;
293         return 0;
294 }
295
296 static int rectangle_and_circle_overlap(struct vector *corner,
297                                         struct vector *pos, double radius)
298 {
299         int vertically_overlapping = 0, horizontally_overlapping = 0;
300
301         if ((pos->x < corner[1].x && pos->x + radius > corner[0].x) ||
302             (pos->x > corner[0].x && pos->x - radius < corner[1].x))
303                 horizontally_overlapping = 1;
304
305         if ((pos->y < corner[1].y && pos->y + radius > corner[0].y) ||
306             (pos->y > corner[0].y && pos->y - radius < corner[1].y))
307                 vertically_overlapping = 1;
308
309         return horizontally_overlapping && vertically_overlapping;
310 }
311
312 static int quadrants_to_search(struct quadtree *node, struct vector *pos,
313                         double dist)
314 {
315         int direction = 0;
316
317         if (dist <= 0)
318                 return 0xf;
319
320         if (node->child[0] &&
321                 rectangle_and_circle_overlap(node->child[0]->corner, pos, dist))
322                 direction |= QUADTREE_UPLEFT;
323
324         if (node->child[1] &&
325                 rectangle_and_circle_overlap(node->child[1]->corner, pos, dist))
326                 direction |= QUADTREE_UPRIGHT;
327
328         if (node->child[2] &&
329                 rectangle_and_circle_overlap(node->child[2]->corner, pos, dist))
330                 direction |= QUADTREE_DOWNLEFT;
331
332         if (node->child[3] &&
333                 rectangle_and_circle_overlap(node->child[3]->corner, pos, dist))
334                 direction |= QUADTREE_DOWNRIGHT;
335
336         return direction;
337 }
338
339 static struct quadtree *quadtree_find_nearest(struct quadtree *tree,
340                                         struct vector *pos,
341                                         struct vector *corner,
342                                         struct quadtree *nearest,
343                                         int depth)
344 {
345         struct vector tmp;
346         struct quadtree *node;
347         double distance = 0, dist;
348         int i, directions;
349
350         if (nearest == NULL)
351                 nearest = tree;
352
353         vector_sub(&nearest->pos, pos, &tmp);
354         distance = vector_abs(&tmp);
355
356         if (!is_within(&nearest->pos, corner)) {
357                 if (debug)
358                         printf("Discarding nearest %p "
359                                 "as outside of search window\n", nearest);
360                 nearest = NULL;
361                 distance = -1;
362         }
363
364         directions = quadrants_to_search(tree, pos, distance);
365         if (debug)
366                 printf("%d: Directions: %x\n", depth, directions);
367         for (i = 0; i < 4; i++) {
368                 if (!tree->child[i])
369                         continue;
370
371                 if (!(directions & (1 << i)))
372                         continue;
373
374
375                 node = quadtree_find_nearest(tree->child[i], pos, corner,
376                                         nearest, depth + 1);
377
378                 if (!node)
379                         continue;
380
381                 if (node != nearest) {
382                         vector_sub(&node->pos, pos, &tmp);
383                         dist = vector_abs(&tmp);
384                         if (dist < distance || !nearest) {
385                                 nearest = node;
386                                 distance = dist;
387                         }
388                         /*
389                          * Update the directions where to search for
390                          * since those may not be valid any more
391                          */
392                         directions = quadrants_to_search(tree, pos, distance);
393                         continue;
394                 }
395         }
396
397         if (nearest && !is_within(&nearest->pos, corner)) {
398                 if (debug)
399                         printf("%d: Node %p (%f %f) is not within "
400                                 "search window (%f %f) (%f %f)\n", depth,
401                                 nearest, nearest->pos.x, nearest->pos.y,
402                                 corner[0].x, corner[0].y,
403                                 corner[1].x, corner[1].y);
404                 return NULL;
405         }
406         if (debug)
407                 printf("%d: Node %p (%f %f) is nearest node, dist %f\n",
408                         depth, nearest,
409                         nearest ? nearest->pos.x : -1,
410                         nearest ? nearest->pos.y : -1,
411                         nearest ? distance : -1);
412         return nearest;
413 }
414
415 static struct quadtree *quadtree_find_nearest_noparent(struct quadtree *tree,
416                                                 struct vector *pos,
417                                                 struct vector *corner)
418 {
419         struct quadtree *nearest = NULL;
420         struct vector sub;
421         struct quadtree *node;
422         double dist = 0, dist2;
423         int i;
424
425         nearest = quadtree_find_nearest(tree, pos, corner, nearest, 0);
426
427         if (nearest != tree)
428                 goto out;
429
430         if (debug)
431                 printf("Avoiding parent or NULL node %p\n", nearest);
432
433         /*
434          * oops, we don't want to pick the parent node, let's choose
435          * another one
436          */
437         nearest = NULL;
438         for (i = 0; i < 4; i++) {
439                 if (!tree->child[i])
440                         continue;
441
442                 if (!nearest) {
443                         nearest = quadtree_find_nearest(tree->child[i], pos,
444                                                         corner, nearest, 0);
445
446                         if (nearest == NULL)
447                                 continue;
448
449                         vector_sub(pos, &nearest->pos, &sub);
450                         dist = vector_abs(&sub);
451                         continue;
452                 }
453                 node = quadtree_find_nearest(tree->child[i], pos, corner,
454                                         nearest, 0);
455
456                 if (node == NULL)
457                         continue;
458
459                 vector_sub(pos, &node->pos, &sub);
460                 dist2 = vector_abs(&sub);
461
462                 if (dist2 < dist) {
463                         nearest = node;
464                         dist = dist2;
465                 }
466         }
467
468 out:
469         return nearest;
470 }
471
472 static void get_middle_point(struct vector *corner, struct vector *middle)
473 {
474         middle->x = (corner[0].x + corner[1].x) / (double)2;
475         middle->y = (corner[0].y + corner[1].y) / (double)2;
476 }
477
478 static int quadtree_split_by_node(struct quadtree *node,
479                                 struct vector *corner, int dir)
480 {
481         if (!is_within(&node->pos, corner)) {
482                 if (debug)
483                         printf("Not within search rectangle\n");
484                 return 0;
485         }
486
487         if (debug)
488                 printf("Search rectangle was before (%f %f) (%f %f), (%f %f)\n",
489                         corner[0].x, corner[0].y,
490                         corner[1].x, corner[1].y,
491                         node->pos.x, node->pos.y);
492
493         switch (dir) {
494         case QUADTREE_UPLEFT:
495                 corner[0] = node->pos;
496                 break;
497         case QUADTREE_UPRIGHT:
498                 corner[0].y = node->pos.y;
499                 corner[1].x = node->pos.x;
500                 break;
501         case QUADTREE_DOWNRIGHT:
502                 corner[1] = node->pos;
503                 break;
504         case QUADTREE_DOWNLEFT:
505                 corner[0].x = node->pos.x;
506                 corner[1].y = node->pos.y;
507                 break;
508         default:
509                 trap();
510         }
511
512         if (debug)
513                 printf("Search rectangle is now (%f %f) (%f %f), (%f %f)\n",
514                         corner[0].x, corner[0].y,
515                         corner[1].x, corner[1].y,
516                         node->pos.x, node->pos.y);
517
518         if ((corner[0].x < corner[1].x) ||
519             (corner[0].y < corner[1].y))
520                 trap();
521
522         return 1;
523 }
524
525 /*
526  * Quickly detach a node from a tree. Move all child nodes under
527  * @parent node.
528  */
529 static int _quadtree_del(struct quadtree *node, struct quadtree *parent)
530 {
531         struct quadtree *n;
532         int i;
533
534         /* Detach from the tree */
535         if (node->parent)
536                 for (i = 0; i < 4; i++) {
537                         if (node->parent->child[i] == node) {
538                                 node->parent->child[i] = 0;
539                                 break;
540                         }
541                 }
542
543         if (i == 4)
544                 trap();
545
546
547         for (i = 0; i < 4; i++) {
548                 if (!node->child[i])
549                         continue;
550
551                 n = node->child[i];
552                 _quadtree_del(n, parent);
553                 _quadtree_add(parent, n);
554                 recalculate_parent_area_stats(n);
555         }
556
557         return 0;
558 }
559
560 /**
561  * Move everything under @tree node to @parent node, everything
562  * else except the @tree node itself
563  */
564 static int optimally_move_tree(struct quadtree *tree, struct quadtree *parent,
565                         struct vector *corner_orig,
566                         struct quadtree_ops *ops)
567 {
568         struct vector corner[2], mid;
569         struct quadtree *t, *tmp;
570         int moved = 0;
571
572         get_middle_point(corner_orig, &mid);
573         t = quadtree_find_nearest_noparent(tree, &mid, corner_orig);
574
575         if (!t) {
576                 if (debug)
577                         printf("Cannot find nearest node\n");
578
579                 goto out;
580         }
581
582         /*
583          * Now we have the t node which contains the object of the
584          * spatial middle coordinates of the tree.
585          */
586
587         if (debug) {
588                 printf("Relocating node %p (%f %f) under parent %p\n", t,
589                         t->pos.x, t->pos.y, parent);
590                 printf("There are %ld child nodes left\n", tree->children);
591                 fflush(stdout);
592         }
593         _quadtree_del(t, tree);
594         quadtree_add(parent, t, ops);
595
596         moved++;
597         tree->children--;
598         if (!tree->children)
599                 goto out;
600
601         /*
602          * Now split the search rectangle in quadtres and do the same
603          * with all of the quarters.
604          */
605
606         corner[0] = corner_orig[0];
607         corner[1] = corner_orig[1];
608         if (quadtree_split_by_node(t, corner, QUADTREE_UPLEFT))
609                 moved += optimally_move_tree(tree, parent, corner, ops);
610
611         corner[0] = corner_orig[0];
612         corner[1] = corner_orig[1];
613         if (quadtree_split_by_node(t, corner, QUADTREE_UPRIGHT))
614                 moved += optimally_move_tree(tree, parent, corner, ops);
615
616         corner[0] = corner_orig[0];
617         corner[1] = corner_orig[1];
618         if (quadtree_split_by_node(t, corner, QUADTREE_DOWNLEFT))
619                 moved += optimally_move_tree(tree, parent, corner, ops);
620
621         corner[0] = corner_orig[0];
622         corner[1] = corner_orig[1];
623         if (quadtree_split_by_node(t, corner, QUADTREE_DOWNRIGHT))
624                 moved += optimally_move_tree(tree, parent, corner, ops);
625
626         get_middle_point(corner_orig, &mid);
627         tmp = quadtree_find_nearest(tree, &mid, corner_orig, NULL, 0);
628         if (tmp && tmp != tree)
629                 trap();
630
631 out:
632         if (debug)
633                 printf("Now moved %d nodes, %ld left\n", moved, tree->children);
634
635         return moved;
636 }
637
638 /*
639  * quadtree_del - Detach a node from the tree
640  *
641  * Return value: The new root node of the tree. If we are detaching
642  * anything but the root node of the entire tree, the returned root
643  * value will be the original root of the tree.
644  */
645 struct quadtree *quadtree_del(struct quadtree *node,
646                               struct quadtree_ops *ops)
647 {
648         struct quadtree *parent = NULL;
649         struct vector corner[2];
650         int i, children = node->children, moved;
651
652         validate_tree(node);
653
654         if (debug) {
655                 printf("Deleting node %p under parent %p\n",
656                                node, node->parent);
657                 printf("Relocating %ld children\n", node->children);
658                 fflush(stdout);
659         }
660
661         if (!node->parent) {
662                 /*
663                  * We are deleting the root node. This means we have
664                  * to select a new root node and reconstruct the
665                  * entire tree under it again.
666                  */
667                 if (debug) {
668                         printf("Deleting root node\n");
669                         fflush(stdout);
670                 }
671                 for (i = 0; i < 4; i++) {
672                         if (!node->child[i])
673                                 continue;
674
675                         parent = node->child[i];
676                         _quadtree_del(parent, node);
677                         parent->parent = 0;
678                         quadtree_recalculate_parent_stats(parent, ops);
679                         break;
680                 }
681         } else {
682                 /*
683                  * The node has a parent. Detach the node from it and
684                  * relocate the children.
685                  */
686
687                 for (i = 0; i < 4; i++) {
688                         if (node->parent->child[i] == node) {
689                                 node->parent->child[i] = 0;
690                                 break;
691                         }
692                 }
693                 if (i == 4)
694                         trap();
695
696                 parent = node->parent;
697
698                 /*
699                  * The sub branch is now detached from the main
700                  * tree. Fix the stats.
701                  */
702                 quadtree_recalculate_parent_stats(parent, ops);
703         }
704
705         validate_tree(parent);
706
707         if (!node->children)
708                 goto out;
709         /*
710          * Now we are ready to prepare for relocating the nodes under
711          * the parent.
712          */
713
714         corner[0] = node->corner[1];
715         corner[1] = node->corner[0];
716         if (debug) {
717                 printf("\nInitial Search rectangle (%f %f) (%f %f), (%f %f)\n",
718                         corner[0].x, corner[0].y,
719                         corner[1].x, corner[1].y,
720                         node->pos.x, node->pos.y);
721                 fflush(stdout);
722         }
723         moved = optimally_move_tree(node, parent, corner, ops);
724
725         if (debug) {
726                 if (moved != children) {
727                         printf("Got %d children but %d were moved\n",
728                                 children, moved);
729                         printf("nearest children left:\n");
730                         for (i = 0 ; i < 4; i++)
731                                 if (node->child[i])
732                                         printf("   node %d %p, (%f %f)\n",
733                                                 i, node->child[i],
734                                                 node->child[i]->pos.x,
735                                                 node->child[i]->pos.y);
736                         fflush(stdout);
737                         trap();
738                 }
739                 printf("Delete done, returning parent %p\n", parent);
740                 fflush(stdout);
741         }
742
743 out:
744         validate_tree(parent);
745         return quadtree_find_parent(parent);
746 }
747
748 static void check_for_crossed_subnodes(struct quadtree *node,
749                                 struct vector *limit, struct quadtree_ops *ops)
750 {
751         int direction = 0, i;
752         int up = 0, left = 0, right = 0, down = 0;
753
754         for (i = 0; i < 2; i++) {
755                 if (limit[i].x < node->pos.x)
756                         left = 1;
757                 else
758                         right = 1;
759                 if (limit[i].y < node->pos.y)
760                         up = 1;
761                 else
762                         down = 1;
763         }
764
765         if (left || up)
766                 direction |= QUADTREE_UPLEFT;
767         if (right || up)
768                 direction |= QUADTREE_UPRIGHT;
769         if (left || down)
770                 direction |= QUADTREE_DOWNLEFT;
771         if (right || down)
772                 direction |= QUADTREE_DOWNRIGHT;
773         if ((left && right) || (up && down))
774                 direction |= QUADTREE_SELF;
775
776         if ((direction & QUADTREE_UPLEFT) && node->child[0])
777                 check_for_crossed_subnodes(node->child[0], limit, ops);
778
779         if ((direction & QUADTREE_UPRIGHT) && node->child[1])
780                 check_for_crossed_subnodes(node->child[0], limit, ops);
781
782         if ((direction & QUADTREE_DOWNLEFT) && node->child[2])
783                 check_for_crossed_subnodes(node->child[0], limit, ops);
784
785         if ((direction & QUADTREE_DOWNRIGHT) && node->child[3])
786                 check_for_crossed_subnodes(node->child[0], limit, ops);
787
788         if (direction & QUADTREE_SELF) {
789                 struct quadtree *parent;
790
791                 parent = quadtree_del(node, ops);
792                 quadtree_add(parent, node, ops);
793         }
794 }
795
796 struct quadtree *quadtree_move(struct quadtree *node, struct vector new_pos,
797                         struct quadtree_ops *ops)
798 {
799         struct quadtree *parent, *tree_parent;
800         int modify;
801
802         /* Check if we have crossed any of the parents */
803         parent = node->parent;
804         while (parent) {
805                 if (node->pos.x < parent->pos.x && new_pos.x > parent->pos.x)
806                         modify = 1;
807                 if (node->pos.x > parent->pos.x && new_pos.x < parent->pos.x)
808                         modify = 1;
809                 if (node->pos.y < parent->pos.y && new_pos.y > parent->pos.y)
810                         modify = 1;
811                 if (node->pos.y > parent->pos.y && new_pos.y < parent->pos.y)
812                         modify = 1;
813
814                 if (!modify) {
815                         parent = parent->parent;
816                         continue;
817                 }
818
819                 /*
820                  * If the node has crossed the boundaries, remove it
821                  * from the tree and add it again to it. It is then
822                  * guaranteed to be in the correct position of the
823                  * tree.
824                  */
825                 tree_parent = quadtree_del(node, ops);
826                 node->pos = new_pos;
827                 quadtree_add(tree_parent, node, ops);
828                 quadtree_recalculate_parent_stats(node, ops);
829                 return tree_parent;
830         }
831
832         /* Move the node into its new location */
833         node->pos = new_pos;
834
835         if(node->children) {
836                 /*
837                  * Now, search the subtree for any children that are
838                  * located in wrong place and move them into correct
839                  * place within the tree.
840                  */
841                 struct vector limit[2];
842
843                 limit[0] = node->pos;
844                 limit[1] = new_pos;
845                 check_for_crossed_subnodes(node, limit, ops);
846         }
847
848         quadtree_recalculate_parent_stats(node, ops);
849         return quadtree_find_parent(node);
850
851 }
852
853 static int _walk_tree(struct quadtree *head, const struct quadtree_iterator *it)
854 {
855         int direction, count = 0;
856
857         direction = it->direction(head, (struct quadtree_iterator *)it);
858
859         if ((direction & QUADTREE_UPLEFT) && head->child[0])
860                 count += _walk_tree(head->child[0], it);
861
862         if ((direction & QUADTREE_UPRIGHT) && head->child[1])
863                 count += _walk_tree(head->child[1], it);
864
865         if ((direction & QUADTREE_DOWNLEFT) && head->child[2])
866                 count += _walk_tree(head->child[2], it);
867
868         if ((direction & QUADTREE_DOWNRIGHT) && head->child[3])
869                 count += _walk_tree(head->child[3], it);
870
871         if ((direction & QUADTREE_SELF) && it->callback) {
872                 it->callback(head, (struct quadtree_iterator *)it);
873                 count++;
874         }
875
876         return count;
877 }
878
879 int walk_quadtree(const struct quadtree_iterator *it)
880 {
881         return _walk_tree(it->head, it);
882 }