/* * ***** BEGIN GPL LICENSE BLOCK ***** * * This program is free software; you can redistribute it and/or * modify it under the terms of the GNU General Public License * as published by the Free Software Foundation; either version 2 * of the License, or (at your option) any later version. * * This program is distributed in the hope that it will be useful, * but WITHOUT ANY WARRANTY; without even the implied warranty of * MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the * GNU General Public License for more details. * * You should have received a copy of the GNU General Public License * along with this program; if not, write to the Free Software Foundation, * Inc., 51 Franklin Street, Fifth Floor, Boston, MA 02110-1301, USA. * * The Original Code is Copyright (C) 2001-2002 by NaN Holding BV. * All rights reserved. * * The Original Code is: none of this file. * * Contributor(s): Janne Karhu * Brecht Van Lommel * * ***** END GPL LICENSE BLOCK ***** */ /** \file blender/blenlib/intern/BLI_kdtree.c * \ingroup bli */ #include "MEM_guardedalloc.h" #include "BLI_math.h" #include "BLI_kdtree.h" #ifndef SWAP # define SWAP(type, a, b) { type sw_ap; sw_ap = (a); (a) = (b); (b) = sw_ap; } (void)0 #endif typedef struct KDTreeNode { struct KDTreeNode *left, *right; float co[3], nor[3]; int index; short d; } KDTreeNode; struct KDTree { KDTreeNode *nodes; int totnode; KDTreeNode *root; }; KDTree *BLI_kdtree_new(int maxsize) { KDTree *tree; tree = MEM_callocN(sizeof(KDTree), "KDTree"); tree->nodes = MEM_callocN(sizeof(KDTreeNode) * maxsize, "KDTreeNode"); tree->totnode = 0; return tree; } void BLI_kdtree_free(KDTree *tree) { if (tree) { MEM_freeN(tree->nodes); MEM_freeN(tree); } } void BLI_kdtree_insert(KDTree *tree, int index, const float co[3], const float nor[3]) { KDTreeNode *node = &tree->nodes[tree->totnode++]; node->index = index; copy_v3_v3(node->co, co); if (nor) copy_v3_v3(node->nor, nor); } static KDTreeNode *kdtree_balance(KDTreeNode *nodes, int totnode, int axis) { KDTreeNode *node; float co; int left, right, median, i, j; if (totnode <= 0) return NULL; else if (totnode == 1) return nodes; /* quicksort style sorting around median */ left = 0; right = totnode - 1; median = totnode / 2; while (right > left) { co = nodes[right].co[axis]; i = left - 1; j = right; while (1) { while (nodes[++i].co[axis] < co) ; while (nodes[--j].co[axis] > co && j > left) ; if (i >= j) break; SWAP(KDTreeNode, nodes[i], nodes[j]); } SWAP(KDTreeNode, nodes[i], nodes[right]); if (i >= median) right = i - 1; if (i <= median) left = i + 1; } /* set node and sort subnodes */ node = &nodes[median]; node->d = axis; node->left = kdtree_balance(nodes, median, (axis + 1) % 3); node->right = kdtree_balance(nodes + median + 1, (totnode - (median + 1)), (axis + 1) % 3); return node; } void BLI_kdtree_balance(KDTree *tree) { tree->root = kdtree_balance(tree->nodes, tree->totnode, 0); } static float squared_distance(const float v2[3], const float v1[3], const float *UNUSED(n1), const float *n2) { float d[3], dist; d[0] = v2[0] - v1[0]; d[1] = v2[1] - v1[1]; d[2] = v2[2] - v1[2]; dist = dot_v3v3(d, d); //if (n1 && n2 && (dot_v3v3(n1, n2) < 0.0f)) /* can someone explain why this is done?*/ if (n2 && (dot_v3v3(d, n2) < 0.0f)) { dist *= 10.0f; } return dist; } int BLI_kdtree_find_nearest(KDTree *tree, float *co, float *nor, KDTreeNearest *nearest) { KDTreeNode *root, *node, *min_node; KDTreeNode **stack, *defaultstack[100]; float min_dist, cur_dist; int totstack, cur = 0; if (!tree->root) return -1; stack = defaultstack; totstack = 100; root = tree->root; min_node = root; min_dist = squared_distance(root->co, co, root->nor, nor); if (co[root->d] < root->co[root->d]) { if (root->right) stack[cur++] = root->right; if (root->left) stack[cur++] = root->left; } else { if (root->left) stack[cur++] = root->left; if (root->right) stack[cur++] = root->right; } while (cur--) { node = stack[cur]; cur_dist = node->co[node->d] - co[node->d]; if (cur_dist < 0.0f) { cur_dist = -cur_dist * cur_dist; if (-cur_dist < min_dist) { cur_dist = squared_distance(node->co, co, node->nor, nor); if (cur_dist < min_dist) { min_dist = cur_dist; min_node = node; } if (node->left) stack[cur++] = node->left; } if (node->right) stack[cur++] = node->right; } else { cur_dist = cur_dist * cur_dist; if (cur_dist < min_dist) { cur_dist = squared_distance(node->co, co, node->nor, nor); if (cur_dist < min_dist) { min_dist = cur_dist; min_node = node; } if (node->right) stack[cur++] = node->right; } if (node->left) stack[cur++] = node->left; } if (cur + 3 > totstack) { KDTreeNode **temp = MEM_callocN((totstack + 100) * sizeof(KDTreeNode *), "psys_treestack"); memcpy(temp, stack, totstack * sizeof(KDTreeNode *)); if (stack != defaultstack) MEM_freeN(stack); stack = temp; totstack += 100; } } if (nearest) { nearest->index = min_node->index; nearest->dist = sqrt(min_dist); copy_v3_v3(nearest->co, min_node->co); } if (stack != defaultstack) MEM_freeN(stack); return min_node->index; } static void add_nearest(KDTreeNearest *ptn, int *found, int n, int index, float dist, float *co) { int i; if (*found < n) (*found)++; for (i = *found - 1; i > 0; i--) { if (dist >= ptn[i - 1].dist) break; else ptn[i] = ptn[i - 1]; } ptn[i].index = index; ptn[i].dist = dist; copy_v3_v3(ptn[i].co, co); } /* finds the nearest n entries in tree to specified coordinates */ int BLI_kdtree_find_n_nearest(KDTree *tree, int n, const float co[3], const float nor[3], KDTreeNearest *nearest) { KDTreeNode *root, *node = NULL; KDTreeNode **stack, *defaultstack[100]; float cur_dist; int i, totstack, cur = 0, found = 0; if (!tree->root) return 0; stack = defaultstack; totstack = 100; root = tree->root; cur_dist = squared_distance(root->co, co, root->nor, nor); add_nearest(nearest, &found, n, root->index, cur_dist, root->co); if (co[root->d] < root->co[root->d]) { if (root->right) stack[cur++] = root->right; if (root->left) stack[cur++] = root->left; } else { if (root->left) stack[cur++] = root->left; if (root->right) stack[cur++] = root->right; } while (cur--) { node = stack[cur]; cur_dist = node->co[node->d] - co[node->d]; if (cur_dist < 0.0f) { cur_dist = -cur_dist * cur_dist; if (found < n || -cur_dist < nearest[found - 1].dist) { cur_dist = squared_distance(node->co, co, node->nor, nor); if (found < n || cur_dist < nearest[found - 1].dist) add_nearest(nearest, &found, n, node->index, cur_dist, node->co); if (node->left) stack[cur++] = node->left; } if (node->right) stack[cur++] = node->right; } else { cur_dist = cur_dist * cur_dist; if (found < n || cur_dist < nearest[found - 1].dist) { cur_dist = squared_distance(node->co, co, node->nor, nor); if (found < n || cur_dist < nearest[found - 1].dist) add_nearest(nearest, &found, n, node->index, cur_dist, node->co); if (node->right) stack[cur++] = node->right; } if (node->left) stack[cur++] = node->left; } if (cur + 3 > totstack) { KDTreeNode **temp = MEM_callocN((totstack + 100) * sizeof(KDTreeNode *), "psys_treestack"); memcpy(temp, stack, totstack * sizeof(KDTreeNode *)); if (stack != defaultstack) MEM_freeN(stack); stack = temp; totstack += 100; } } for (i = 0; i < found; i++) nearest[i].dist = sqrt(nearest[i].dist); if (stack != defaultstack) MEM_freeN(stack); return found; } static int range_compare(const void *a, const void *b) { const KDTreeNearest *kda = a; const KDTreeNearest *kdb = b; if (kda->dist < kdb->dist) return -1; else if (kda->dist > kdb->dist) return 1; else return 0; } static void add_in_range(KDTreeNearest **ptn, int found, int *totfoundstack, int index, float dist, float *co) { KDTreeNearest *to; if (found + 1 > *totfoundstack) { KDTreeNearest *temp = MEM_callocN((*totfoundstack + 50) * sizeof(KDTreeNode), "psys_treefoundstack"); memcpy(temp, *ptn, *totfoundstack * sizeof(KDTreeNearest)); if (*ptn) MEM_freeN(*ptn); *ptn = temp; *totfoundstack += 50; } to = (*ptn) + found; to->index = index; to->dist = sqrt(dist); copy_v3_v3(to->co, co); } int BLI_kdtree_range_search(KDTree *tree, float range, const float co[3], const float nor[3], KDTreeNearest **nearest) { KDTreeNode *root, *node = NULL; KDTreeNode **stack, *defaultstack[100]; KDTreeNearest *foundstack = NULL; float range2 = range * range, dist2; int totstack, cur = 0, found = 0, totfoundstack = 0; if (!tree || !tree->root) return 0; stack = defaultstack; totstack = 100; root = tree->root; if (co[root->d] + range < root->co[root->d]) { if (root->left) stack[cur++] = root->left; } else if (co[root->d] - range > root->co[root->d]) { if (root->right) stack[cur++] = root->right; } else { dist2 = squared_distance(root->co, co, root->nor, nor); if (dist2 <= range2) add_in_range(&foundstack, found++, &totfoundstack, root->index, dist2, root->co); if (root->left) stack[cur++] = root->left; if (root->right) stack[cur++] = root->right; } while (cur--) { node = stack[cur]; if (co[node->d] + range < node->co[node->d]) { if (node->left) stack[cur++] = node->left; } else if (co[node->d] - range > node->co[node->d]) { if (node->right) stack[cur++] = node->right; } else { dist2 = squared_distance(node->co, co, node->nor, nor); if (dist2 <= range2) add_in_range(&foundstack, found++, &totfoundstack, node->index, dist2, node->co); if (node->left) stack[cur++] = node->left; if (node->right) stack[cur++] = node->right; } if (cur + 3 > totstack) { KDTreeNode **temp = MEM_callocN((totstack + 100) * sizeof(KDTreeNode *), "psys_treestack"); memcpy(temp, stack, totstack * sizeof(KDTreeNode *)); if (stack != defaultstack) MEM_freeN(stack); stack = temp; totstack += 100; } } if (stack != defaultstack) MEM_freeN(stack); if (found) qsort(foundstack, found, sizeof(KDTreeNearest), range_compare); *nearest = foundstack; return found; }