12 static void _trap(int line)
15 printf("Trapped from line %d, use debugger to get backtrace\n",
22 #define trap() _trap(__LINE__)
24 static int quadtree_compare_coord(const struct vector *a,
25 const struct vector *b)
41 static int quadtree_compare(const struct quadtree *a, const struct quadtree *b)
43 return quadtree_compare_coord(&a->pos, &b->pos);
46 static void validate_subtree(const struct quadtree *node)
53 printf("Attempted to validate a null pointer\n");
58 for (i = 0; i < 4; i++) {
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);
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);
81 dir = quadtree_compare(node, node->child[i]);
84 printf("%s:%d Fatal! Spatial inconsistency detected "
85 "at child %d in node %p\n"
86 "parent: (%f %f), child (%f %f), "
88 __func__, __LINE__, i, node,
89 node->pos.x, node->pos.y,
90 node->child[i]->pos.x, node->child[i]->pos.y,
96 children += node->child[i]->children + 1;
98 validate_subtree(node->child[i]);
101 if (node->depth < 0) {
102 printf("%s:%d Tree statistics inconsistency detected! "
103 "Negative depth: %ld\n",
104 __func__, __LINE__, node->depth);
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);
115 for (i = 0; i < 4 && node->children; i++) {
119 if (node->depth == node->child[i]->depth + 1)
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,
131 printf("%s:%d Tree statistics inconsistency detected! "
132 "child depth mismatch.",
139 static void validate_tree(const struct quadtree *node)
147 return validate_subtree(node);
149 for (i = 0; i < 4; i++)
150 if (node->parent->child[i] == node)
154 printf("%s:%d Tree inconsistency detected! "
155 "Wrong parent %p for node %p\n",
156 __func__, __LINE__, node->parent, node);
161 validate_tree(node->parent);
164 void _quadtree_validate_tree(const struct quadtree *node)
169 static struct quadtree *_quadtree_add(struct quadtree *parent,
170 struct quadtree *new)
174 ret = quadtree_compare(parent, new);
176 if (ret < 0 || ret >= 4) {
177 printf("Invalid comparison result of %d\n", ret);
181 if (parent->child[ret])
182 return _quadtree_add(parent->child[ret], new);
184 parent->child[ret] = new;
185 new->parent = parent;
186 for (i = 0; i < 4; i++)
193 * Recursively walk through the tree and propagate changes made to the
194 * given node up until the highest parent.
196 static void quadtree_recalculate_parent_stats(struct quadtree *node,
197 struct quadtree_ops *ops)
205 for (i = 0; i < 4; i++) {
209 node->depth = MAX(node->depth,
210 node->child[i]->depth + 1);
211 node->children += node->child[i]->children + 1;
214 /* The space covered by the parent node's corner
215 * points needs be as wide as its widest child node's
218 #define CHILD_CORNER_SAFE(node, ch_idx, cor_idx, axis) \
219 (node)->child[ch_idx] ? \
220 (node)->child[ch_idx]->corner[cor_idx].axis : \
223 node->corner[0].x = MIN(CHILD_CORNER_SAFE(node, 0, 0, x),
224 CHILD_CORNER_SAFE(node, 2, 0, x));
225 node->corner[0].y = MIN(CHILD_CORNER_SAFE(node, 0, 0, y),
226 CHILD_CORNER_SAFE(node, 1, 0, y));
227 node->corner[1].x = MAX(CHILD_CORNER_SAFE(node, 1, 1, x),
228 CHILD_CORNER_SAFE(node, 3, 1, x));
229 node->corner[1].y = MAX(CHILD_CORNER_SAFE(node, 2, 1, y),
230 CHILD_CORNER_SAFE(node, 3, 1, y));
231 #undef CHILD_CORNER_SAFE
233 if (ops->recalculate_stats)
234 ops->recalculate_stats(node);
241 * quadtree_add - add a node to a quadtree
242 * @parent: parent node
243 * @new: the new node to be added
245 * Add a node to a quadtree. The tree is kept in order, the new node
246 * is placed in the end of appropriate branch.
248 * The case of nodes sharing identical coordinates is not taken into
252 struct quadtree *quadtree_add(struct quadtree *parent, struct quadtree *new,
253 struct quadtree_ops *ops)
258 validate_tree(parent);
260 _quadtree_add(parent, new);
263 printf("adding node %p to parent %p\n", new, parent);
267 quadtree_recalculate_parent_stats(new, ops);
274 static int is_within(struct vector *pos, struct vector *corner)
276 if ((pos->x >= corner[1].x) && (pos->x <= corner[0].x) &&
277 (pos->y >= corner[1].y) && (pos->y <= corner[0].y))
282 static int quadrants_to_search(struct quadtree *node, struct vector *corner)
284 int direction = 0, i;
285 int up = 0, left = 0, right = 0, down = 0;
287 for (i = 0; i < 2; i++) {
288 if (corner[i].x <= node->pos.x)
290 else if (corner[i].x >= node->pos.x)
292 if (corner[i].y <= node->pos.y)
294 else if (corner[i].y >= node->pos.y)
299 direction |= QUADTREE_UPLEFT;
301 direction |= QUADTREE_UPRIGHT;
303 direction |= QUADTREE_DOWNLEFT;
305 direction |= QUADTREE_DOWNRIGHT;
310 static struct quadtree *quadtree_find_nearest(struct quadtree *tree,
312 struct vector *corner)
315 struct quadtree *nearest, *node;
316 double distance = 0, dist;
319 if (!is_within(pos, corner)) {
321 printf("No nearest to be found from (%f %f) (%f %f) "
323 corner[0].x, corner[0].y,
324 corner[1].x, corner[1].y,
331 if (is_within(&tree->pos, corner)) {
332 vector_sub(pos, &tree->pos, &tmp);
333 distance = vector_abs(&tmp);
339 directions = quadrants_to_search(tree, corner);
341 for (i = 0; i < 4; i++) {
346 if (!(directions & (1 << i)))
349 node = quadtree_find_nearest(tree->child[i], pos, corner);
354 vector_sub(pos, &node->pos, &tmp);
355 dist = vector_abs(&tmp);
357 if (!nearest || dist < distance) {
364 if (nearest && !is_within(&nearest->pos, corner)) {
366 printf("Node %p (%f %f) is not within "
367 "search window (%f %f) (%f %f)\n",
368 nearest, nearest->pos.x, nearest->pos.y,
369 corner[0].x, corner[0].y,
370 corner[1].x, corner[1].y);
377 static struct quadtree *quadtree_find_nearest_noparent(struct quadtree *tree,
379 struct vector *corner)
381 struct quadtree *nearest;
383 struct quadtree *node;
384 double dist = 0, dist2;
387 nearest = quadtree_find_nearest(tree, pos, corner);
393 printf("Avoiding parent or NULL node %p\n", nearest);
396 * oops, we don't want to pick the parent node, let's choose
400 for (i = 0; i < 4; i++) {
405 nearest = quadtree_find_nearest(tree->child[i], pos,
411 vector_sub(pos, &nearest->pos, &sub);
412 dist = vector_abs(&sub);
415 node = quadtree_find_nearest(tree->child[i],
421 vector_sub(pos, &node->pos, &sub);
422 dist2 = vector_abs(&sub);
434 static void get_middle_point(struct vector *corner, struct vector *middle)
436 middle->x = (corner[0].x + corner[1].x) / (double)2;
437 middle->y = (corner[0].y + corner[1].y) / (double)2;
440 static int quadtree_split_by_node(struct quadtree *node,
441 struct vector *corner, int dir)
443 if (!is_within(&node->pos, corner)) {
445 printf("Not within search rectangle\n");
450 case QUADTREE_UPLEFT:
451 corner[0] = node->pos;
453 case QUADTREE_UPRIGHT:
454 corner[0].y = node->pos.y;
455 corner[1].x = node->pos.x;
457 case QUADTREE_DOWNRIGHT:
458 corner[1] = node->pos;
460 case QUADTREE_DOWNLEFT:
461 corner[0].x = node->pos.x;
462 corner[1].y = node->pos.y;
469 printf("Search rectangle is now (%f %f) (%f %f), (%f %f)\n",
470 corner[0].x, corner[0].y,
471 corner[1].x, corner[1].y,
472 node->pos.x, node->pos.y);
474 if ((corner[0].x < corner[1].x) ||
475 (corner[0].y < corner[1].y))
482 * Quickly detach a node from a tree. Move all child nodes under
485 static int _quadtree_del(struct quadtree *node, struct quadtree *parent)
490 /* Detach from the tree */
492 for (i = 0; i < 4; i++) {
493 if (node->parent->child[i] == node) {
494 node->parent->child[i] = 0;
503 for (i = 0; i < 4; i++) {
508 _quadtree_del(n, parent);
509 _quadtree_add(parent, n);
516 * Move everything under @tree node to @parent node, everything
517 * else except the @tree node itself
519 static int optimally_move_tree(struct quadtree *tree, struct quadtree *parent,
520 struct vector *corner_orig,
521 struct quadtree_ops *ops)
523 struct vector corner[2], mid;
524 struct quadtree *t, *tmp;
527 get_middle_point(corner_orig, &mid);
528 t = quadtree_find_nearest_noparent(tree, &mid, corner_orig);
532 printf("Cannot find nearest node\n");
538 * Now we have the t node which contains the object of the
539 * spatial middle coordinates of the tree.
543 printf("Relocating node %p (%f %f) under parent %p\n", t,
544 t->pos.x, t->pos.y, parent);
545 printf("There are %ld child nodes left\n", tree->children);
548 _quadtree_del(t, tree);
549 quadtree_add(parent, t, ops);
557 * Now split the search rectangle in quadtres and do the same
558 * with all of the quarters.
561 corner[0] = corner_orig[0];
562 corner[1] = corner_orig[1];
563 if (quadtree_split_by_node(t, corner, QUADTREE_UPLEFT))
564 moved += optimally_move_tree(tree, parent, corner, ops);
566 corner[0] = corner_orig[0];
567 corner[1] = corner_orig[1];
568 if (quadtree_split_by_node(t, corner, QUADTREE_UPRIGHT))
569 moved += optimally_move_tree(tree, parent, corner, ops);
571 corner[0] = corner_orig[0];
572 corner[1] = corner_orig[1];
573 if (quadtree_split_by_node(t, corner, QUADTREE_DOWNLEFT))
574 moved += optimally_move_tree(tree, parent, corner, ops);
576 corner[0] = corner_orig[0];
577 corner[1] = corner_orig[1];
578 if (quadtree_split_by_node(t, corner, QUADTREE_DOWNRIGHT))
579 moved += optimally_move_tree(tree, parent, corner, ops);
581 get_middle_point(corner_orig, &mid);
582 tmp = quadtree_find_nearest(tree, &mid, corner_orig);
583 if (tmp && tmp != tree)
588 printf("Now moved %d nodes, %ld left\n", moved, tree->children);
594 * quadtree_del - Detach a node from the tree
596 * Return value: The new root node of the tree. If we are detaching
597 * anything but the root node of the entire tree, the returned root
598 * value will be the original root of the tree.
600 struct quadtree *quadtree_del(struct quadtree *node,
601 struct quadtree_ops *ops)
603 struct quadtree *parent = NULL;
604 struct vector corner[2];
605 int i, children = node->children, moved;
610 printf("Deleting node %p under parent %p\n",
612 printf("Relocating %ld children\n", node->children);
618 * We are deleting the root node. This means we have
619 * to select a new root node and reconstruct the
620 * entire tree under it again.
623 printf("Deleting root node\n");
626 for (i = 0; i < 4; i++) {
630 parent = node->child[i];
631 _quadtree_del(parent, node);
633 quadtree_recalculate_parent_stats(parent, ops);
638 * The node has a parent. Detach the node from it and
639 * relocate the children.
642 for (i = 0; i < 4; i++) {
643 if (node->parent->child[i] == node) {
644 node->parent->child[i] = 0;
651 parent = node->parent;
654 * The sub branch is now detached from the main
655 * tree. Fix the stats.
657 quadtree_recalculate_parent_stats(node->parent, ops);
660 validate_tree(parent);
665 * Now we are ready to prepare for relocating the nodes under
669 corner[0] = node->corner[1];
670 corner[1] = node->corner[0];
671 moved = optimally_move_tree(node, parent, corner, ops);
674 if (moved != children) {
675 printf("Got %d children but %d were moved\n",
677 printf("nearest children left:\n");
678 for (i = 0 ; i < 4; i++)
680 printf(" node %d %p, (%f %f)\n",
682 node->child[i]->pos.x,
683 node->child[i]->pos.y);
687 printf("Delete done, returning parent %p\n", parent);
692 validate_tree(parent);
693 return quadtree_find_parent(parent);
696 static void check_for_crossed_subnodes(struct quadtree *node,
697 struct vector *limit, struct quadtree_ops *ops)
699 int direction = 0, i;
700 int up = 0, left = 0, right = 0, down = 0;
702 for (i = 0; i < 2; i++) {
703 if (limit[i].x < node->pos.x)
707 if (limit[i].y < node->pos.y)
714 direction |= QUADTREE_UPLEFT;
716 direction |= QUADTREE_UPRIGHT;
718 direction |= QUADTREE_DOWNLEFT;
720 direction |= QUADTREE_DOWNRIGHT;
721 if ((left && right) || (up && down))
722 direction |= QUADTREE_SELF;
724 if ((direction & QUADTREE_UPLEFT) && node->child[0])
725 check_for_crossed_subnodes(node->child[0], limit, ops);
727 if ((direction & QUADTREE_UPRIGHT) && node->child[1])
728 check_for_crossed_subnodes(node->child[0], limit, ops);
730 if ((direction & QUADTREE_DOWNLEFT) && node->child[2])
731 check_for_crossed_subnodes(node->child[0], limit, ops);
733 if ((direction & QUADTREE_DOWNRIGHT) && node->child[3])
734 check_for_crossed_subnodes(node->child[0], limit, ops);
736 if (direction & QUADTREE_SELF) {
737 struct quadtree *parent;
739 parent = quadtree_del(node, ops);
740 quadtree_add(parent, node, ops);
744 struct quadtree *quadtree_move(struct quadtree *node, struct vector new_pos,
745 struct quadtree_ops *ops)
747 struct quadtree *parent, *tree_parent;
750 /* Check if we have crossed any of the parents */
751 parent = node->parent;
753 if (node->pos.x < parent->pos.x && new_pos.x > parent->pos.x)
755 if (node->pos.x > parent->pos.x && new_pos.x < parent->pos.x)
757 if (node->pos.y < parent->pos.y && new_pos.y > parent->pos.y)
759 if (node->pos.y > parent->pos.y && new_pos.y < parent->pos.y)
763 parent = parent->parent;
768 * If the node has crossed the boundaries, remove it
769 * from the tree and add it again to it. It is then
770 * guaranteed to be in the correct position of the
773 tree_parent = quadtree_del(node, ops);
775 quadtree_add(tree_parent, node, ops);
776 quadtree_recalculate_parent_stats(node, ops);
780 /* Move the node into its new location */
785 * Now, search the subtree for any children that are
786 * located in wrong place and move them into correct
787 * place within the tree.
789 struct vector limit[2];
791 limit[0] = node->pos;
793 check_for_crossed_subnodes(node, limit, ops);
796 quadtree_recalculate_parent_stats(node, ops);
797 return quadtree_find_parent(node);
801 static int _walk_tree(struct quadtree *head, const struct quadtree_iterator *it)
803 int direction, count = 0;
805 direction = it->direction(head, (struct quadtree_iterator *)it);
807 if ((direction & QUADTREE_UPLEFT) && head->child[0])
808 count += _walk_tree(head->child[0], it);
810 if ((direction & QUADTREE_UPRIGHT) && head->child[1])
811 count += _walk_tree(head->child[1], it);
813 if ((direction & QUADTREE_DOWNLEFT) && head->child[2])
814 count += _walk_tree(head->child[2], it);
816 if ((direction & QUADTREE_DOWNRIGHT) && head->child[3])
817 count += _walk_tree(head->child[3], it);
819 if ((direction & QUADTREE_SELF) && it->callback) {
820 it->callback(head, (struct quadtree_iterator *)it);
827 int walk_quadtree(const struct quadtree_iterator *it)
829 return _walk_tree(it->head, it);