1641 lines
46 KiB
C
1641 lines
46 KiB
C
/*
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* ***** BEGIN GPL LICENSE BLOCK *****
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*
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* This program is free software; you can redistribute it and/or
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* modify it under the terms of the GNU General Public License
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* as published by the Free Software Foundation; either version 2
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* of the License, or (at your option) any later version.
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*
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* This program is distributed in the hope that it will be useful,
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* but WITHOUT ANY WARRANTY; without even the implied warranty of
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* MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the
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* GNU General Public License for more details.
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*
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* You should have received a copy of the GNU General Public License
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* along with this program; if not, write to the Free Software Foundation,
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* Inc., 51 Franklin Street, Fifth Floor, Boston, MA 02110-1301, USA.
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*
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* The Original Code is Copyright (C) 2006 by NaN Holding BV.
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* All rights reserved.
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*
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* The Original Code is: all of this file.
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*
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* Contributor(s): Daniel Genrich, Andre Pinto
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*
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* ***** END GPL LICENSE BLOCK *****
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*/
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/** \file blender/blenlib/intern/BLI_kdopbvh.c
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* \ingroup bli
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*/
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#include <assert.h>
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#include "MEM_guardedalloc.h"
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#include "BLI_utildefines.h"
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#include "BLI_kdopbvh.h"
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#include "BLI_math.h"
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#ifdef _OPENMP
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#include <omp.h>
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#endif
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#define MAX_TREETYPE 32
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typedef unsigned char axis_t;
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typedef struct BVHNode {
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struct BVHNode **children;
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struct BVHNode *parent; /* some user defined traversed need that */
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struct BVHNode *skip[2];
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float *bv; /* Bounding volume of all nodes, max 13 axis */
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int index; /* face, edge, vertex index */
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char totnode; /* how many nodes are used, used for speedup */
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char main_axis; /* Axis used to split this node */
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} BVHNode;
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/* keep under 26 bytes for speed purposes */
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struct BVHTree {
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BVHNode **nodes;
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BVHNode *nodearray; /* pre-alloc branch nodes */
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BVHNode **nodechild; /* pre-alloc childs for nodes */
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float *nodebv; /* pre-alloc bounding-volumes for nodes */
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float epsilon; /* epslion is used for inflation of the k-dop */
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int totleaf; /* leafs */
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int totbranch;
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axis_t start_axis, stop_axis; /* KDOP_AXES array indices according to axis */
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axis_t axis; /* kdop type (6 => OBB, 7 => AABB, ...) */
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char tree_type; /* type of tree (4 => quadtree) */
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};
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/* optimization, ensure we stay small */
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BLI_STATIC_ASSERT((sizeof(void *) == 8 && sizeof(BVHTree) <= 48) ||
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(sizeof(void *) == 4 && sizeof(BVHTree) <= 32),
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"over sized");
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typedef struct BVHOverlapData {
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BVHTree *tree1, *tree2;
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BVHTreeOverlap *overlap;
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int i, max_overlap; /* i is number of overlaps */
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axis_t start_axis, stop_axis;
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} BVHOverlapData;
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typedef struct BVHNearestData {
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BVHTree *tree;
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const float *co;
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BVHTree_NearestPointCallback callback;
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void *userdata;
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float proj[13]; /* coordinates projection over axis */
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BVHTreeNearest nearest;
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} BVHNearestData;
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typedef struct BVHRayCastData {
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BVHTree *tree;
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BVHTree_RayCastCallback callback;
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void *userdata;
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BVHTreeRay ray;
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float ray_dot_axis[13];
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float idot_axis[13];
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int index[6];
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BVHTreeRayHit hit;
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} BVHRayCastData;
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/*
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* Bounding Volume Hierarchy Definition
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*
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* Notes: From OBB until 26-DOP --> all bounding volumes possible, just choose type below
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* Notes: You have to choose the type at compile time ITM
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* Notes: You can choose the tree type --> binary, quad, octree, choose below
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*/
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static float KDOP_AXES[13][3] = {
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{1.0, 0, 0}, {0, 1.0, 0}, {0, 0, 1.0}, {1.0, 1.0, 1.0}, {1.0, -1.0, 1.0}, {1.0, 1.0, -1.0},
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{1.0, -1.0, -1.0}, {1.0, 1.0, 0}, {1.0, 0, 1.0}, {0, 1.0, 1.0}, {1.0, -1.0, 0}, {1.0, 0, -1.0},
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{0, 1.0, -1.0}
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};
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MINLINE axis_t min_axis(axis_t a, axis_t b)
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{
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return (a < b) ? a : b;
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}
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MINLINE axis_t max_axis(axis_t a, axis_t b)
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{
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return (b < a) ? a : b;
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}
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#if 0
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/*
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* Generic push and pop heap
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*/
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#define PUSH_HEAP_BODY(HEAP_TYPE, PRIORITY, heap, heap_size) \
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{ \
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HEAP_TYPE element = heap[heap_size - 1]; \
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int child = heap_size - 1; \
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while (child != 0) { \
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int parent = (child - 1) / 2; \
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if (PRIORITY(element, heap[parent])) { \
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heap[child] = heap[parent]; \
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child = parent; \
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} \
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else { \
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break; \
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} \
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} \
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heap[child] = element; \
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} (void)0
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#define POP_HEAP_BODY(HEAP_TYPE, PRIORITY, heap, heap_size) \
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{ \
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HEAP_TYPE element = heap[heap_size - 1]; \
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int parent = 0; \
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while (parent < (heap_size - 1) / 2) { \
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int child2 = (parent + 1) * 2; \
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if (PRIORITY(heap[child2 - 1], heap[child2])) { \
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child2--; \
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} \
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if (PRIORITY(element, heap[child2])) { \
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break; \
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} \
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heap[parent] = heap[child2]; \
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parent = child2; \
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} \
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heap[parent] = element; \
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} (void)0
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static bool ADJUST_MEMORY(void *local_memblock, void **memblock, int new_size, int *max_size, int size_per_item)
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{
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int new_max_size = *max_size * 2;
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void *new_memblock = NULL;
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if (new_size <= *max_size) {
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return true;
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}
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if (*memblock == local_memblock) {
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new_memblock = malloc(size_per_item * new_max_size);
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memcpy(new_memblock, *memblock, size_per_item * *max_size);
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}
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else {
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new_memblock = realloc(*memblock, size_per_item * new_max_size);
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}
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if (new_memblock) {
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*memblock = new_memblock;
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*max_size = new_max_size;
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return true;
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}
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else {
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return false;
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}
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}
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#endif
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/*
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* Introsort
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* with permission deriven from the following Java code:
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* http://ralphunden.net/content/tutorials/a-guide-to-introsort/
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* and he derived it from the SUN STL
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*/
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//static int size_threshold = 16;
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/*
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* Common methods for all algorithms
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*/
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#if 0
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static int floor_lg(int a)
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{
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return (int)(floor(log(a) / log(2)));
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}
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#endif
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/*
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* Insertion sort algorithm
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*/
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static void bvh_insertionsort(BVHNode **a, int lo, int hi, int axis)
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{
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int i, j;
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BVHNode *t;
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for (i = lo; i < hi; i++) {
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j = i;
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t = a[i];
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while ((j != lo) && (t->bv[axis] < (a[j - 1])->bv[axis])) {
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a[j] = a[j - 1];
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j--;
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}
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a[j] = t;
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}
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}
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static int bvh_partition(BVHNode **a, int lo, int hi, BVHNode *x, int axis)
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{
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int i = lo, j = hi;
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while (1) {
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while ((a[i])->bv[axis] < x->bv[axis]) i++;
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j--;
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while (x->bv[axis] < (a[j])->bv[axis]) j--;
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if (!(i < j))
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return i;
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SWAP(BVHNode *, a[i], a[j]);
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i++;
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}
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}
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/*
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* Heapsort algorithm
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*/
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#if 0
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static void bvh_downheap(BVHNode **a, int i, int n, int lo, int axis)
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{
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BVHNode *d = a[lo + i - 1];
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int child;
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while (i <= n / 2) {
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child = 2 * i;
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if ((child < n) && ((a[lo + child - 1])->bv[axis] < (a[lo + child])->bv[axis])) {
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child++;
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}
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if (!(d->bv[axis] < (a[lo + child - 1])->bv[axis])) break;
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a[lo + i - 1] = a[lo + child - 1];
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i = child;
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}
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a[lo + i - 1] = d;
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}
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static void bvh_heapsort(BVHNode **a, int lo, int hi, int axis)
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{
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int n = hi - lo, i;
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for (i = n / 2; i >= 1; i = i - 1) {
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bvh_downheap(a, i, n, lo, axis);
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}
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for (i = n; i > 1; i = i - 1) {
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SWAP(BVHNode *, a[lo], a[lo + i - 1]);
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bvh_downheap(a, 1, i - 1, lo, axis);
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}
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}
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#endif
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static BVHNode *bvh_medianof3(BVHNode **a, int lo, int mid, int hi, int axis) /* returns Sortable */
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{
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if ((a[mid])->bv[axis] < (a[lo])->bv[axis]) {
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if ((a[hi])->bv[axis] < (a[mid])->bv[axis])
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return a[mid];
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else {
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if ((a[hi])->bv[axis] < (a[lo])->bv[axis])
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return a[hi];
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else
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return a[lo];
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}
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}
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else {
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if ((a[hi])->bv[axis] < (a[mid])->bv[axis]) {
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if ((a[hi])->bv[axis] < (a[lo])->bv[axis])
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return a[lo];
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else
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return a[hi];
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}
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else
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return a[mid];
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}
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}
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#if 0
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/*
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* Quicksort algorithm modified for Introsort
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*/
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static void bvh_introsort_loop(BVHNode **a, int lo, int hi, int depth_limit, int axis)
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{
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int p;
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while (hi - lo > size_threshold) {
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if (depth_limit == 0) {
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bvh_heapsort(a, lo, hi, axis);
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return;
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}
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depth_limit = depth_limit - 1;
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p = bvh_partition(a, lo, hi, bvh_medianof3(a, lo, lo + ((hi - lo) / 2) + 1, hi - 1, axis), axis);
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bvh_introsort_loop(a, p, hi, depth_limit, axis);
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hi = p;
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}
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}
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static void sort(BVHNode **a0, int begin, int end, int axis)
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{
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if (begin < end) {
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BVHNode **a = a0;
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bvh_introsort_loop(a, begin, end, 2 * floor_lg(end - begin), axis);
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bvh_insertionsort(a, begin, end, axis);
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}
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}
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static void sort_along_axis(BVHTree *tree, int start, int end, int axis)
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{
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sort(tree->nodes, start, end, axis);
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}
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#endif
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/* after a call to this function you can expect one of:
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* - every node to left of a[n] are smaller or equal to it
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* - every node to the right of a[n] are greater or equal to it */
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static int partition_nth_element(BVHNode **a, int _begin, int _end, int n, int axis)
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{
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int begin = _begin, end = _end, cut;
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while (end - begin > 3) {
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cut = bvh_partition(a, begin, end, bvh_medianof3(a, begin, (begin + end) / 2, end - 1, axis), axis);
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if (cut <= n)
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begin = cut;
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else
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end = cut;
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}
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bvh_insertionsort(a, begin, end, axis);
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return n;
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}
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/* --- */
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static void build_skip_links(BVHTree *tree, BVHNode *node, BVHNode *left, BVHNode *right)
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{
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int i;
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node->skip[0] = left;
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node->skip[1] = right;
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for (i = 0; i < node->totnode; i++) {
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if (i + 1 < node->totnode)
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build_skip_links(tree, node->children[i], left, node->children[i + 1]);
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else
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build_skip_links(tree, node->children[i], left, right);
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left = node->children[i];
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}
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}
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/*
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* BVHTree bounding volumes functions
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*/
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static void create_kdop_hull(BVHTree *tree, BVHNode *node, const float *co, int numpoints, int moving)
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{
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float newminmax;
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float *bv = node->bv;
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int k;
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axis_t axis_iter;
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/* don't init boudings for the moving case */
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if (!moving) {
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for (axis_iter = tree->start_axis; axis_iter < tree->stop_axis; axis_iter++) {
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bv[2 * axis_iter] = FLT_MAX;
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bv[2 * axis_iter + 1] = -FLT_MAX;
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}
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}
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for (k = 0; k < numpoints; k++) {
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/* for all Axes. */
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for (axis_iter = tree->start_axis; axis_iter < tree->stop_axis; axis_iter++) {
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newminmax = dot_v3v3(&co[k * 3], KDOP_AXES[axis_iter]);
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if (newminmax < bv[2 * axis_iter])
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bv[2 * axis_iter] = newminmax;
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if (newminmax > bv[(2 * axis_iter) + 1])
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bv[(2 * axis_iter) + 1] = newminmax;
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}
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}
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}
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/* depends on the fact that the BVH's for each face is already build */
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static void refit_kdop_hull(BVHTree *tree, BVHNode *node, int start, int end)
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{
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float newmin, newmax;
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float *bv = node->bv;
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int j;
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axis_t axis_iter;
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for (axis_iter = tree->start_axis; axis_iter < tree->stop_axis; axis_iter++) {
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bv[(2 * axis_iter)] = FLT_MAX;
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bv[(2 * axis_iter) + 1] = -FLT_MAX;
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}
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for (j = start; j < end; j++) {
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/* for all Axes. */
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for (axis_iter = tree->start_axis; axis_iter < tree->stop_axis; axis_iter++) {
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newmin = tree->nodes[j]->bv[(2 * axis_iter)];
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if ((newmin < bv[(2 * axis_iter)]))
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bv[(2 * axis_iter)] = newmin;
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newmax = tree->nodes[j]->bv[(2 * axis_iter) + 1];
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if ((newmax > bv[(2 * axis_iter) + 1]))
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bv[(2 * axis_iter) + 1] = newmax;
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}
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}
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}
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/* only supports x,y,z axis in the moment
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* but we should use a plain and simple function here for speed sake */
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static char get_largest_axis(float *bv)
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{
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float middle_point[3];
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middle_point[0] = (bv[1]) - (bv[0]); /* x axis */
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middle_point[1] = (bv[3]) - (bv[2]); /* y axis */
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middle_point[2] = (bv[5]) - (bv[4]); /* z axis */
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if (middle_point[0] > middle_point[1]) {
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if (middle_point[0] > middle_point[2])
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return 1; /* max x axis */
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else
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return 5; /* max z axis */
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}
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else {
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if (middle_point[1] > middle_point[2])
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return 3; /* max y axis */
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else
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return 5; /* max z axis */
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}
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}
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/* bottom-up update of bvh node BV
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* join the children on the parent BV */
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static void node_join(BVHTree *tree, BVHNode *node)
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{
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int i;
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axis_t axis_iter;
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for (axis_iter = tree->start_axis; axis_iter < tree->stop_axis; axis_iter++) {
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node->bv[(2 * axis_iter)] = FLT_MAX;
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node->bv[(2 * axis_iter) + 1] = -FLT_MAX;
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}
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for (i = 0; i < tree->tree_type; i++) {
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if (node->children[i]) {
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for (axis_iter = tree->start_axis; axis_iter < tree->stop_axis; axis_iter++) {
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/* update minimum */
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if (node->children[i]->bv[(2 * axis_iter)] < node->bv[(2 * axis_iter)])
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node->bv[(2 * axis_iter)] = node->children[i]->bv[(2 * axis_iter)];
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/* update maximum */
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if (node->children[i]->bv[(2 * axis_iter) + 1] > node->bv[(2 * axis_iter) + 1])
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node->bv[(2 * axis_iter) + 1] = node->children[i]->bv[(2 * axis_iter) + 1];
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}
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}
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else
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break;
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}
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}
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/*
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* Debug and information functions
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*/
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#if 0
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static void bvhtree_print_tree(BVHTree *tree, BVHNode *node, int depth)
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{
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int i;
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axis_t axis_iter;
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for (i = 0; i < depth; i++) printf(" ");
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printf(" - %d (%ld): ", node->index, node - tree->nodearray);
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for (axis_iter = 2 * tree->start_axis; axis_iter < 2 * tree->stop_axis; axis_iter++)
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printf("%.3f ", node->bv[axis_iter]);
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printf("\n");
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for (i = 0; i < tree->tree_type; i++)
|
|
if (node->children[i])
|
|
bvhtree_print_tree(tree, node->children[i], depth + 1);
|
|
}
|
|
|
|
static void bvhtree_info(BVHTree *tree)
|
|
{
|
|
printf("BVHTree info\n");
|
|
printf("tree_type = %d, axis = %d, epsilon = %f\n", tree->tree_type, tree->axis, tree->epsilon);
|
|
printf("nodes = %d, branches = %d, leafs = %d\n", tree->totbranch + tree->totleaf, tree->totbranch, tree->totleaf);
|
|
printf("Memory per node = %ldbytes\n", sizeof(BVHNode) + sizeof(BVHNode *) * tree->tree_type + sizeof(float) * tree->axis);
|
|
printf("BV memory = %dbytes\n", MEM_allocN_len(tree->nodebv));
|
|
|
|
printf("Total memory = %ldbytes\n", sizeof(BVHTree) +
|
|
MEM_allocN_len(tree->nodes) +
|
|
MEM_allocN_len(tree->nodearray) +
|
|
MEM_allocN_len(tree->nodechild) +
|
|
MEM_allocN_len(tree->nodebv));
|
|
|
|
// bvhtree_print_tree(tree, tree->nodes[tree->totleaf], 0);
|
|
}
|
|
#endif
|
|
|
|
#if 0
|
|
|
|
|
|
static void verify_tree(BVHTree *tree)
|
|
{
|
|
int i, j, check = 0;
|
|
|
|
/* check the pointer list */
|
|
for (i = 0; i < tree->totleaf; i++) {
|
|
if (tree->nodes[i]->parent == NULL) {
|
|
printf("Leaf has no parent: %d\n", i);
|
|
}
|
|
else {
|
|
for (j = 0; j < tree->tree_type; j++) {
|
|
if (tree->nodes[i]->parent->children[j] == tree->nodes[i])
|
|
check = 1;
|
|
}
|
|
if (!check) {
|
|
printf("Parent child relationship doesn't match: %d\n", i);
|
|
}
|
|
check = 0;
|
|
}
|
|
}
|
|
|
|
/* check the leaf list */
|
|
for (i = 0; i < tree->totleaf; i++) {
|
|
if (tree->nodearray[i].parent == NULL) {
|
|
printf("Leaf has no parent: %d\n", i);
|
|
}
|
|
else {
|
|
for (j = 0; j < tree->tree_type; j++) {
|
|
if (tree->nodearray[i].parent->children[j] == &tree->nodearray[i])
|
|
check = 1;
|
|
}
|
|
if (!check) {
|
|
printf("Parent child relationship doesn't match: %d\n", i);
|
|
}
|
|
check = 0;
|
|
}
|
|
}
|
|
|
|
printf("branches: %d, leafs: %d, total: %d\n", tree->totbranch, tree->totleaf, tree->totbranch + tree->totleaf);
|
|
}
|
|
#endif
|
|
|
|
/* Helper data and structures to build a min-leaf generalized implicit tree
|
|
* This code can be easily reduced (basicly this is only method to calculate pow(k, n) in O(1).. and stuff like that) */
|
|
typedef struct BVHBuildHelper {
|
|
int tree_type; /* */
|
|
int totleafs; /* */
|
|
|
|
int leafs_per_child[32]; /* Min number of leafs that are archievable from a node at depth N */
|
|
int branches_on_level[32]; /* Number of nodes at depth N (tree_type^N) */
|
|
|
|
int remain_leafs; /* Number of leafs that are placed on the level that is not 100% filled */
|
|
|
|
} BVHBuildHelper;
|
|
|
|
static void build_implicit_tree_helper(BVHTree *tree, BVHBuildHelper *data)
|
|
{
|
|
int depth = 0;
|
|
int remain;
|
|
int nnodes;
|
|
|
|
data->totleafs = tree->totleaf;
|
|
data->tree_type = tree->tree_type;
|
|
|
|
/* Calculate the smallest tree_type^n such that tree_type^n >= num_leafs */
|
|
for (data->leafs_per_child[0] = 1;
|
|
data->leafs_per_child[0] < data->totleafs;
|
|
data->leafs_per_child[0] *= data->tree_type)
|
|
{
|
|
/* pass */
|
|
}
|
|
|
|
data->branches_on_level[0] = 1;
|
|
|
|
/* We could stop the loop first (but I am lazy to find out when) */
|
|
for (depth = 1; depth < 32; depth++) {
|
|
data->branches_on_level[depth] = data->branches_on_level[depth - 1] * data->tree_type;
|
|
data->leafs_per_child[depth] = data->leafs_per_child[depth - 1] / data->tree_type;
|
|
}
|
|
|
|
remain = data->totleafs - data->leafs_per_child[1];
|
|
nnodes = (remain + data->tree_type - 2) / (data->tree_type - 1);
|
|
data->remain_leafs = remain + nnodes;
|
|
}
|
|
|
|
// return the min index of all the leafs archivable with the given branch
|
|
static int implicit_leafs_index(BVHBuildHelper *data, int depth, int child_index)
|
|
{
|
|
int min_leaf_index = child_index * data->leafs_per_child[depth - 1];
|
|
if (min_leaf_index <= data->remain_leafs)
|
|
return min_leaf_index;
|
|
else if (data->leafs_per_child[depth])
|
|
return data->totleafs - (data->branches_on_level[depth - 1] - child_index) * data->leafs_per_child[depth];
|
|
else
|
|
return data->remain_leafs;
|
|
}
|
|
|
|
/**
|
|
* Generalized implicit tree build
|
|
*
|
|
* An implicit tree is a tree where its structure is implied, thus there is no need to store child pointers or indexs.
|
|
* Its possible to find the position of the child or the parent with simple maths (multiplication and adittion). This type
|
|
* of tree is for example used on heaps.. where node N has its childs at indexs N*2 and N*2+1.
|
|
*
|
|
* Although in this case the tree type is general.. and not know until runtime.
|
|
* tree_type stands for the maximum number of childs that a tree node can have.
|
|
* All tree types >= 2 are supported.
|
|
*
|
|
* Advantages of the used trees include:
|
|
* - No need to store child/parent relations (they are implicit);
|
|
* - Any node child always has an index greater than the parent;
|
|
* - Brother nodes are sequential in memory;
|
|
*
|
|
*
|
|
* Some math relations derived for general implicit trees:
|
|
*
|
|
* K = tree_type, ( 2 <= K )
|
|
* ROOT = 1
|
|
* N child of node A = A * K + (2 - K) + N, (0 <= N < K)
|
|
*
|
|
* Util methods:
|
|
* TODO...
|
|
* (looping elements, knowing if its a leaf or not.. etc...)
|
|
*/
|
|
|
|
/* This functions returns the number of branches needed to have the requested number of leafs. */
|
|
static int implicit_needed_branches(int tree_type, int leafs)
|
|
{
|
|
return max_ii(1, (leafs + tree_type - 3) / (tree_type - 1) );
|
|
}
|
|
|
|
/*
|
|
* This function handles the problem of "sorting" the leafs (along the split_axis).
|
|
*
|
|
* It arranges the elements in the given partitions such that:
|
|
* - any element in partition N is less or equal to any element in partition N+1.
|
|
* - if all elements are different all partition will get the same subset of elements
|
|
* as if the array was sorted.
|
|
*
|
|
* partition P is described as the elements in the range ( nth[P], nth[P+1] ]
|
|
*
|
|
* TODO: This can be optimized a bit by doing a specialized nth_element instead of K nth_elements
|
|
*/
|
|
static void split_leafs(BVHNode **leafs_array, int *nth, int partitions, int split_axis)
|
|
{
|
|
int i;
|
|
for (i = 0; i < partitions - 1; i++) {
|
|
if (nth[i] >= nth[partitions])
|
|
break;
|
|
|
|
partition_nth_element(leafs_array, nth[i], nth[partitions], nth[i + 1], split_axis);
|
|
}
|
|
}
|
|
|
|
/*
|
|
* This functions builds an optimal implicit tree from the given leafs.
|
|
* Where optimal stands for:
|
|
* - The resulting tree will have the smallest number of branches;
|
|
* - At most only one branch will have NULL childs;
|
|
* - All leafs will be stored at level N or N+1.
|
|
*
|
|
* This function creates an implicit tree on branches_array, the leafs are given on the leafs_array.
|
|
*
|
|
* The tree is built per depth levels. First branches at depth 1.. then branches at depth 2.. etc..
|
|
* The reason is that we can build level N+1 from level N without any data dependencies.. thus it allows
|
|
* to use multithread building.
|
|
*
|
|
* To archive this is necessary to find how much leafs are accessible from a certain branch, BVHBuildHelper
|
|
* implicit_needed_branches and implicit_leafs_index are auxiliary functions to solve that "optimal-split".
|
|
*/
|
|
static void non_recursive_bvh_div_nodes(BVHTree *tree, BVHNode *branches_array, BVHNode **leafs_array, int num_leafs)
|
|
{
|
|
int i;
|
|
|
|
const int tree_type = tree->tree_type;
|
|
const int tree_offset = 2 - tree->tree_type; /* this value is 0 (on binary trees) and negative on the others */
|
|
const int num_branches = implicit_needed_branches(tree_type, num_leafs);
|
|
|
|
BVHBuildHelper data;
|
|
int depth;
|
|
|
|
/* set parent from root node to NULL */
|
|
BVHNode *tmp = branches_array + 0;
|
|
tmp->parent = NULL;
|
|
|
|
/* Most of bvhtree code relies on 1-leaf trees having at least one branch
|
|
* We handle that special case here */
|
|
if (num_leafs == 1) {
|
|
BVHNode *root = branches_array + 0;
|
|
refit_kdop_hull(tree, root, 0, num_leafs);
|
|
root->main_axis = get_largest_axis(root->bv) / 2;
|
|
root->totnode = 1;
|
|
root->children[0] = leafs_array[0];
|
|
root->children[0]->parent = root;
|
|
return;
|
|
}
|
|
|
|
branches_array--; /* Implicit trees use 1-based indexs */
|
|
|
|
build_implicit_tree_helper(tree, &data);
|
|
|
|
/* Loop tree levels (log N) loops */
|
|
for (i = 1, depth = 1; i <= num_branches; i = i * tree_type + tree_offset, depth++) {
|
|
const int first_of_next_level = i * tree_type + tree_offset;
|
|
const int end_j = min_ii(first_of_next_level, num_branches + 1); /* index of last branch on this level */
|
|
int j;
|
|
|
|
/* Loop all branches on this level */
|
|
#pragma omp parallel for private(j) schedule(static)
|
|
for (j = i; j < end_j; j++) {
|
|
int k;
|
|
const int parent_level_index = j - i;
|
|
BVHNode *parent = branches_array + j;
|
|
int nth_positions[MAX_TREETYPE + 1];
|
|
char split_axis;
|
|
|
|
int parent_leafs_begin = implicit_leafs_index(&data, depth, parent_level_index);
|
|
int parent_leafs_end = implicit_leafs_index(&data, depth, parent_level_index + 1);
|
|
|
|
/* This calculates the bounding box of this branch
|
|
* and chooses the largest axis as the axis to divide leafs */
|
|
refit_kdop_hull(tree, parent, parent_leafs_begin, parent_leafs_end);
|
|
split_axis = get_largest_axis(parent->bv);
|
|
|
|
/* Save split axis (this can be used on raytracing to speedup the query time) */
|
|
parent->main_axis = split_axis / 2;
|
|
|
|
/* Split the childs along the split_axis, note: its not needed to sort the whole leafs array
|
|
* Only to assure that the elements are partitioned on a way that each child takes the elements
|
|
* it would take in case the whole array was sorted.
|
|
* Split_leafs takes care of that "sort" problem. */
|
|
nth_positions[0] = parent_leafs_begin;
|
|
nth_positions[tree_type] = parent_leafs_end;
|
|
for (k = 1; k < tree_type; k++) {
|
|
int child_index = j * tree_type + tree_offset + k;
|
|
int child_level_index = child_index - first_of_next_level; /* child level index */
|
|
nth_positions[k] = implicit_leafs_index(&data, depth + 1, child_level_index);
|
|
}
|
|
|
|
split_leafs(leafs_array, nth_positions, tree_type, split_axis);
|
|
|
|
|
|
/* Setup children and totnode counters
|
|
* Not really needed but currently most of BVH code relies on having an explicit children structure */
|
|
for (k = 0; k < tree_type; k++) {
|
|
int child_index = j * tree_type + tree_offset + k;
|
|
int child_level_index = child_index - first_of_next_level; /* child level index */
|
|
|
|
int child_leafs_begin = implicit_leafs_index(&data, depth + 1, child_level_index);
|
|
int child_leafs_end = implicit_leafs_index(&data, depth + 1, child_level_index + 1);
|
|
|
|
if (child_leafs_end - child_leafs_begin > 1) {
|
|
parent->children[k] = branches_array + child_index;
|
|
parent->children[k]->parent = parent;
|
|
}
|
|
else if (child_leafs_end - child_leafs_begin == 1) {
|
|
parent->children[k] = leafs_array[child_leafs_begin];
|
|
parent->children[k]->parent = parent;
|
|
}
|
|
else {
|
|
break;
|
|
}
|
|
|
|
parent->totnode = k + 1;
|
|
}
|
|
}
|
|
}
|
|
}
|
|
|
|
|
|
/*
|
|
* BLI_bvhtree api
|
|
*/
|
|
BVHTree *BLI_bvhtree_new(int maxsize, float epsilon, char tree_type, char axis)
|
|
{
|
|
BVHTree *tree;
|
|
int numnodes, i;
|
|
|
|
/* theres not support for trees below binary-trees :P */
|
|
if (tree_type < 2)
|
|
return NULL;
|
|
|
|
if (tree_type > MAX_TREETYPE)
|
|
return NULL;
|
|
|
|
tree = (BVHTree *)MEM_callocN(sizeof(BVHTree), "BVHTree");
|
|
|
|
/* tree epsilon must be >= FLT_EPSILON
|
|
* so that tangent rays can still hit a bounding volume..
|
|
* this bug would show up when casting a ray aligned with a kdop-axis and with an edge of 2 faces */
|
|
epsilon = max_ff(FLT_EPSILON, epsilon);
|
|
|
|
if (tree) {
|
|
tree->epsilon = epsilon;
|
|
tree->tree_type = tree_type;
|
|
tree->axis = axis;
|
|
|
|
if (axis == 26) {
|
|
tree->start_axis = 0;
|
|
tree->stop_axis = 13;
|
|
}
|
|
else if (axis == 18) {
|
|
tree->start_axis = 7;
|
|
tree->stop_axis = 13;
|
|
}
|
|
else if (axis == 14) {
|
|
tree->start_axis = 0;
|
|
tree->stop_axis = 7;
|
|
}
|
|
else if (axis == 8) { /* AABB */
|
|
tree->start_axis = 0;
|
|
tree->stop_axis = 4;
|
|
}
|
|
else if (axis == 6) { /* OBB */
|
|
tree->start_axis = 0;
|
|
tree->stop_axis = 3;
|
|
}
|
|
else {
|
|
MEM_freeN(tree);
|
|
return NULL;
|
|
}
|
|
|
|
|
|
/* Allocate arrays */
|
|
numnodes = maxsize + implicit_needed_branches(tree_type, maxsize) + tree_type;
|
|
|
|
tree->nodes = (BVHNode **)MEM_callocN(sizeof(BVHNode *) * numnodes, "BVHNodes");
|
|
|
|
if (!tree->nodes) {
|
|
MEM_freeN(tree);
|
|
return NULL;
|
|
}
|
|
|
|
tree->nodebv = (float *)MEM_callocN(sizeof(float) * axis * numnodes, "BVHNodeBV");
|
|
if (!tree->nodebv) {
|
|
MEM_freeN(tree->nodes);
|
|
MEM_freeN(tree);
|
|
}
|
|
|
|
tree->nodechild = (BVHNode **)MEM_callocN(sizeof(BVHNode *) * tree_type * numnodes, "BVHNodeBV");
|
|
if (!tree->nodechild) {
|
|
MEM_freeN(tree->nodebv);
|
|
MEM_freeN(tree->nodes);
|
|
MEM_freeN(tree);
|
|
}
|
|
|
|
tree->nodearray = (BVHNode *)MEM_callocN(sizeof(BVHNode) * numnodes, "BVHNodeArray");
|
|
|
|
if (!tree->nodearray) {
|
|
MEM_freeN(tree->nodechild);
|
|
MEM_freeN(tree->nodebv);
|
|
MEM_freeN(tree->nodes);
|
|
MEM_freeN(tree);
|
|
return NULL;
|
|
}
|
|
|
|
/* link the dynamic bv and child links */
|
|
for (i = 0; i < numnodes; i++) {
|
|
tree->nodearray[i].bv = tree->nodebv + i * axis;
|
|
tree->nodearray[i].children = tree->nodechild + i * tree_type;
|
|
}
|
|
|
|
}
|
|
|
|
return tree;
|
|
}
|
|
|
|
void BLI_bvhtree_free(BVHTree *tree)
|
|
{
|
|
if (tree) {
|
|
MEM_freeN(tree->nodes);
|
|
MEM_freeN(tree->nodearray);
|
|
MEM_freeN(tree->nodebv);
|
|
MEM_freeN(tree->nodechild);
|
|
MEM_freeN(tree);
|
|
}
|
|
}
|
|
|
|
void BLI_bvhtree_balance(BVHTree *tree)
|
|
{
|
|
int i;
|
|
|
|
BVHNode *branches_array = tree->nodearray + tree->totleaf;
|
|
BVHNode **leafs_array = tree->nodes;
|
|
|
|
/* This function should only be called once (some big bug goes here if its being called more than once per tree) */
|
|
assert(tree->totbranch == 0);
|
|
|
|
/* Build the implicit tree */
|
|
non_recursive_bvh_div_nodes(tree, branches_array, leafs_array, tree->totleaf);
|
|
|
|
/* current code expects the branches to be linked to the nodes array
|
|
* we perform that linkage here */
|
|
tree->totbranch = implicit_needed_branches(tree->tree_type, tree->totleaf);
|
|
for (i = 0; i < tree->totbranch; i++)
|
|
tree->nodes[tree->totleaf + i] = branches_array + i;
|
|
|
|
build_skip_links(tree, tree->nodes[tree->totleaf], NULL, NULL);
|
|
/* bvhtree_info(tree); */
|
|
}
|
|
|
|
int BLI_bvhtree_insert(BVHTree *tree, int index, const float co[3], int numpoints)
|
|
{
|
|
axis_t axis_iter;
|
|
BVHNode *node = NULL;
|
|
|
|
/* insert should only possible as long as tree->totbranch is 0 */
|
|
if (tree->totbranch > 0)
|
|
return 0;
|
|
|
|
if (tree->totleaf + 1 >= MEM_allocN_len(tree->nodes) / sizeof(*(tree->nodes)))
|
|
return 0;
|
|
|
|
/* TODO check if have enough nodes in array */
|
|
|
|
node = tree->nodes[tree->totleaf] = &(tree->nodearray[tree->totleaf]);
|
|
tree->totleaf++;
|
|
|
|
create_kdop_hull(tree, node, co, numpoints, 0);
|
|
node->index = index;
|
|
|
|
/* inflate the bv with some epsilon */
|
|
for (axis_iter = tree->start_axis; axis_iter < tree->stop_axis; axis_iter++) {
|
|
node->bv[(2 * axis_iter)] -= tree->epsilon; /* minimum */
|
|
node->bv[(2 * axis_iter) + 1] += tree->epsilon; /* maximum */
|
|
}
|
|
|
|
return 1;
|
|
}
|
|
|
|
|
|
/* call before BLI_bvhtree_update_tree() */
|
|
int BLI_bvhtree_update_node(BVHTree *tree, int index, const float co[3], const float co_moving[3], int numpoints)
|
|
{
|
|
BVHNode *node = NULL;
|
|
axis_t axis_iter;
|
|
|
|
/* check if index exists */
|
|
if (index > tree->totleaf)
|
|
return 0;
|
|
|
|
node = tree->nodearray + index;
|
|
|
|
create_kdop_hull(tree, node, co, numpoints, 0);
|
|
|
|
if (co_moving)
|
|
create_kdop_hull(tree, node, co_moving, numpoints, 1);
|
|
|
|
/* inflate the bv with some epsilon */
|
|
for (axis_iter = tree->start_axis; axis_iter < tree->stop_axis; axis_iter++) {
|
|
node->bv[(2 * axis_iter)] -= tree->epsilon; /* minimum */
|
|
node->bv[(2 * axis_iter) + 1] += tree->epsilon; /* maximum */
|
|
}
|
|
|
|
return 1;
|
|
}
|
|
|
|
/* call BLI_bvhtree_update_node() first for every node/point/triangle */
|
|
void BLI_bvhtree_update_tree(BVHTree *tree)
|
|
{
|
|
/* Update bottom=>top
|
|
* TRICKY: the way we build the tree all the childs have an index greater than the parent
|
|
* This allows us todo a bottom up update by starting on the bigger numbered branch */
|
|
|
|
BVHNode **root = tree->nodes + tree->totleaf;
|
|
BVHNode **index = tree->nodes + tree->totleaf + tree->totbranch - 1;
|
|
|
|
for (; index >= root; index--)
|
|
node_join(tree, *index);
|
|
}
|
|
|
|
float BLI_bvhtree_getepsilon(const BVHTree *tree)
|
|
{
|
|
return tree->epsilon;
|
|
}
|
|
|
|
|
|
/*
|
|
* BLI_bvhtree_overlap
|
|
*
|
|
* overlap - is it possible for 2 bv's to collide ? */
|
|
static int tree_overlap(BVHNode *node1, BVHNode *node2, axis_t start_axis, axis_t stop_axis)
|
|
{
|
|
float *bv1 = node1->bv;
|
|
float *bv2 = node2->bv;
|
|
|
|
float *bv1_end = bv1 + (stop_axis << 1);
|
|
|
|
bv1 += start_axis << 1;
|
|
bv2 += start_axis << 1;
|
|
|
|
/* test all axis if min + max overlap */
|
|
for (; bv1 != bv1_end; bv1 += 2, bv2 += 2) {
|
|
if ((*(bv1) > *(bv2 + 1)) || (*(bv2) > *(bv1 + 1)))
|
|
return 0;
|
|
}
|
|
|
|
return 1;
|
|
}
|
|
|
|
static void traverse(BVHOverlapData *data, BVHNode *node1, BVHNode *node2)
|
|
{
|
|
int j;
|
|
|
|
if (tree_overlap(node1, node2, data->start_axis, data->stop_axis)) {
|
|
/* check if node1 is a leaf */
|
|
if (!node1->totnode) {
|
|
/* check if node2 is a leaf */
|
|
if (!node2->totnode) {
|
|
|
|
if (node1 == node2) {
|
|
return;
|
|
}
|
|
|
|
if (data->i >= data->max_overlap) {
|
|
/* try to make alloc'ed memory bigger */
|
|
data->overlap = realloc(data->overlap, sizeof(BVHTreeOverlap) * data->max_overlap * 2);
|
|
|
|
if (!data->overlap) {
|
|
printf("Out of Memory in traverse\n");
|
|
return;
|
|
}
|
|
data->max_overlap *= 2;
|
|
}
|
|
|
|
/* both leafs, insert overlap! */
|
|
data->overlap[data->i].indexA = node1->index;
|
|
data->overlap[data->i].indexB = node2->index;
|
|
|
|
data->i++;
|
|
}
|
|
else {
|
|
for (j = 0; j < data->tree2->tree_type; j++) {
|
|
if (node2->children[j])
|
|
traverse(data, node1, node2->children[j]);
|
|
}
|
|
}
|
|
}
|
|
else {
|
|
for (j = 0; j < data->tree2->tree_type; j++) {
|
|
if (node1->children[j])
|
|
traverse(data, node1->children[j], node2);
|
|
}
|
|
}
|
|
}
|
|
return;
|
|
}
|
|
|
|
BVHTreeOverlap *BLI_bvhtree_overlap(BVHTree *tree1, BVHTree *tree2, unsigned int *result)
|
|
{
|
|
int j;
|
|
unsigned int total = 0;
|
|
BVHTreeOverlap *overlap = NULL, *to = NULL;
|
|
BVHOverlapData **data;
|
|
|
|
/* check for compatibility of both trees (can't compare 14-DOP with 18-DOP) */
|
|
if ((tree1->axis != tree2->axis) && (tree1->axis == 14 || tree2->axis == 14) && (tree1->axis == 18 || tree2->axis == 18))
|
|
return NULL;
|
|
|
|
/* fast check root nodes for collision before doing big splitting + traversal */
|
|
if (!tree_overlap(tree1->nodes[tree1->totleaf], tree2->nodes[tree2->totleaf],
|
|
min_axis(tree1->start_axis, tree2->start_axis),
|
|
min_axis(tree1->stop_axis, tree2->stop_axis)))
|
|
{
|
|
return NULL;
|
|
}
|
|
|
|
data = MEM_callocN(sizeof(BVHOverlapData *) * tree1->tree_type, "BVHOverlapData_star");
|
|
|
|
for (j = 0; j < tree1->tree_type; j++) {
|
|
data[j] = (BVHOverlapData *)MEM_callocN(sizeof(BVHOverlapData), "BVHOverlapData");
|
|
|
|
/* init BVHOverlapData */
|
|
data[j]->overlap = (BVHTreeOverlap *)malloc(sizeof(BVHTreeOverlap) * max_ii(tree1->totleaf, tree2->totleaf));
|
|
data[j]->tree1 = tree1;
|
|
data[j]->tree2 = tree2;
|
|
data[j]->max_overlap = max_ii(tree1->totleaf, tree2->totleaf);
|
|
data[j]->i = 0;
|
|
data[j]->start_axis = min_axis(tree1->start_axis, tree2->start_axis);
|
|
data[j]->stop_axis = min_axis(tree1->stop_axis, tree2->stop_axis);
|
|
}
|
|
|
|
#pragma omp parallel for private(j) schedule(static)
|
|
for (j = 0; j < MIN2(tree1->tree_type, tree1->nodes[tree1->totleaf]->totnode); j++) {
|
|
traverse(data[j], tree1->nodes[tree1->totleaf]->children[j], tree2->nodes[tree2->totleaf]);
|
|
}
|
|
|
|
for (j = 0; j < tree1->tree_type; j++)
|
|
total += data[j]->i;
|
|
|
|
to = overlap = (BVHTreeOverlap *)MEM_callocN(sizeof(BVHTreeOverlap) * total, "BVHTreeOverlap");
|
|
|
|
for (j = 0; j < tree1->tree_type; j++) {
|
|
memcpy(to, data[j]->overlap, data[j]->i * sizeof(BVHTreeOverlap));
|
|
to += data[j]->i;
|
|
}
|
|
|
|
for (j = 0; j < tree1->tree_type; j++) {
|
|
free(data[j]->overlap);
|
|
MEM_freeN(data[j]);
|
|
}
|
|
MEM_freeN(data);
|
|
|
|
(*result) = total;
|
|
return overlap;
|
|
}
|
|
|
|
/* Determines the nearest point of the given node BV. Returns the squared distance to that point. */
|
|
static float calc_nearest_point(const float proj[3], BVHNode *node, float *nearest)
|
|
{
|
|
int i;
|
|
const float *bv = node->bv;
|
|
|
|
/* nearest on AABB hull */
|
|
for (i = 0; i != 3; i++, bv += 2) {
|
|
if (bv[0] > proj[i])
|
|
nearest[i] = bv[0];
|
|
else if (bv[1] < proj[i])
|
|
nearest[i] = bv[1];
|
|
else
|
|
nearest[i] = proj[i];
|
|
}
|
|
|
|
#if 0
|
|
/* nearest on a general hull */
|
|
copy_v3_v3(nearest, data->co);
|
|
for (i = data->tree->start_axis; i != data->tree->stop_axis; i++, bv += 2) {
|
|
float proj = dot_v3v3(nearest, KDOP_AXES[i]);
|
|
float dl = bv[0] - proj;
|
|
float du = bv[1] - proj;
|
|
|
|
if (dl > 0) {
|
|
madd_v3_v3fl(nearest, KDOP_AXES[i], dl);
|
|
}
|
|
else if (du < 0) {
|
|
madd_v3_v3fl(nearest, KDOP_AXES[i], du);
|
|
}
|
|
}
|
|
#endif
|
|
|
|
return len_squared_v3v3(proj, nearest);
|
|
}
|
|
|
|
|
|
typedef struct NodeDistance {
|
|
BVHNode *node;
|
|
float dist;
|
|
|
|
} NodeDistance;
|
|
|
|
/* TODO: use a priority queue to reduce the number of nodes looked on */
|
|
static void dfs_find_nearest_dfs(BVHNearestData *data, BVHNode *node)
|
|
{
|
|
if (node->totnode == 0) {
|
|
if (data->callback)
|
|
data->callback(data->userdata, node->index, data->co, &data->nearest);
|
|
else {
|
|
data->nearest.index = node->index;
|
|
data->nearest.dist = calc_nearest_point(data->proj, node, data->nearest.co);
|
|
}
|
|
}
|
|
else {
|
|
/* Better heuristic to pick the closest node to dive on */
|
|
int i;
|
|
float nearest[3];
|
|
|
|
if (data->proj[node->main_axis] <= node->children[0]->bv[node->main_axis * 2 + 1]) {
|
|
|
|
for (i = 0; i != node->totnode; i++) {
|
|
if (calc_nearest_point(data->proj, node->children[i], nearest) >= data->nearest.dist) continue;
|
|
dfs_find_nearest_dfs(data, node->children[i]);
|
|
}
|
|
}
|
|
else {
|
|
for (i = node->totnode - 1; i >= 0; i--) {
|
|
if (calc_nearest_point(data->proj, node->children[i], nearest) >= data->nearest.dist) continue;
|
|
dfs_find_nearest_dfs(data, node->children[i]);
|
|
}
|
|
}
|
|
}
|
|
}
|
|
|
|
static void dfs_find_nearest_begin(BVHNearestData *data, BVHNode *node)
|
|
{
|
|
float nearest[3], sdist;
|
|
sdist = calc_nearest_point(data->proj, node, nearest);
|
|
if (sdist >= data->nearest.dist) return;
|
|
dfs_find_nearest_dfs(data, node);
|
|
}
|
|
|
|
|
|
#if 0
|
|
|
|
#define DEFAULT_FIND_NEAREST_HEAP_SIZE 1024
|
|
|
|
#define NodeDistance_priority(a, b) ((a).dist < (b).dist)
|
|
|
|
static void NodeDistance_push_heap(NodeDistance *heap, int heap_size)
|
|
PUSH_HEAP_BODY(NodeDistance, NodeDistance_priority, heap, heap_size)
|
|
|
|
static void NodeDistance_pop_heap(NodeDistance *heap, int heap_size)
|
|
POP_HEAP_BODY(NodeDistance, NodeDistance_priority, heap, heap_size)
|
|
|
|
/* NN function that uses an heap.. this functions leads to an optimal number of min-distance
|
|
* but for normal tri-faces and BV 6-dop.. a simple dfs with local heuristics (as implemented
|
|
* in source/blender/blenkernel/intern/shrinkwrap.c) works faster.
|
|
*
|
|
* It may make sense to use this function if the callback queries are very slow.. or if its impossible
|
|
* to get a nice heuristic
|
|
*
|
|
* this function uses "malloc/free" instead of the MEM_* because it intends to be openmp safe */
|
|
static void bfs_find_nearest(BVHNearestData *data, BVHNode *node)
|
|
{
|
|
int i;
|
|
NodeDistance default_heap[DEFAULT_FIND_NEAREST_HEAP_SIZE];
|
|
NodeDistance *heap = default_heap, current;
|
|
int heap_size = 0, max_heap_size = sizeof(default_heap) / sizeof(default_heap[0]);
|
|
float nearest[3];
|
|
|
|
int callbacks = 0, push_heaps = 0;
|
|
|
|
if (node->totnode == 0) {
|
|
dfs_find_nearest_dfs(data, node);
|
|
return;
|
|
}
|
|
|
|
current.node = node;
|
|
current.dist = calc_nearest_point(data->proj, node, nearest);
|
|
|
|
while (current.dist < data->nearest.dist) {
|
|
// printf("%f : %f\n", current.dist, data->nearest.dist);
|
|
for (i = 0; i < current.node->totnode; i++) {
|
|
BVHNode *child = current.node->children[i];
|
|
if (child->totnode == 0) {
|
|
callbacks++;
|
|
dfs_find_nearest_dfs(data, child);
|
|
}
|
|
else {
|
|
/* adjust heap size */
|
|
if ((heap_size >= max_heap_size) &&
|
|
ADJUST_MEMORY(default_heap, (void **)&heap, heap_size + 1, &max_heap_size, sizeof(heap[0])) == FALSE)
|
|
{
|
|
printf("WARNING: bvh_find_nearest got out of memory\n");
|
|
|
|
if (heap != default_heap)
|
|
free(heap);
|
|
|
|
return;
|
|
}
|
|
|
|
heap[heap_size].node = current.node->children[i];
|
|
heap[heap_size].dist = calc_nearest_point(data->proj, current.node->children[i], nearest);
|
|
|
|
if (heap[heap_size].dist >= data->nearest.dist) continue;
|
|
heap_size++;
|
|
|
|
NodeDistance_push_heap(heap, heap_size);
|
|
// PUSH_HEAP_BODY(NodeDistance, NodeDistance_priority, heap, heap_size);
|
|
push_heaps++;
|
|
}
|
|
}
|
|
|
|
if (heap_size == 0) break;
|
|
|
|
current = heap[0];
|
|
NodeDistance_pop_heap(heap, heap_size);
|
|
// POP_HEAP_BODY(NodeDistance, NodeDistance_priority, heap, heap_size);
|
|
heap_size--;
|
|
}
|
|
|
|
// printf("hsize=%d, callbacks=%d, pushs=%d\n", heap_size, callbacks, push_heaps);
|
|
|
|
if (heap != default_heap)
|
|
free(heap);
|
|
}
|
|
#endif
|
|
|
|
|
|
int BLI_bvhtree_find_nearest(BVHTree *tree, const float co[3], BVHTreeNearest *nearest,
|
|
BVHTree_NearestPointCallback callback, void *userdata)
|
|
{
|
|
axis_t axis_iter;
|
|
|
|
BVHNearestData data;
|
|
BVHNode *root = tree->nodes[tree->totleaf];
|
|
|
|
/* init data to search */
|
|
data.tree = tree;
|
|
data.co = co;
|
|
|
|
data.callback = callback;
|
|
data.userdata = userdata;
|
|
|
|
for (axis_iter = data.tree->start_axis; axis_iter != data.tree->stop_axis; axis_iter++) {
|
|
data.proj[axis_iter] = dot_v3v3(data.co, KDOP_AXES[axis_iter]);
|
|
}
|
|
|
|
if (nearest) {
|
|
memcpy(&data.nearest, nearest, sizeof(*nearest));
|
|
}
|
|
else {
|
|
data.nearest.index = -1;
|
|
data.nearest.dist = FLT_MAX;
|
|
}
|
|
|
|
/* dfs search */
|
|
if (root)
|
|
dfs_find_nearest_begin(&data, root);
|
|
|
|
/* copy back results */
|
|
if (nearest) {
|
|
memcpy(nearest, &data.nearest, sizeof(*nearest));
|
|
}
|
|
|
|
return data.nearest.index;
|
|
}
|
|
|
|
|
|
/*
|
|
* Raycast - BLI_bvhtree_ray_cast
|
|
*
|
|
* raycast is done by performing a DFS on the BVHTree and saving the closest hit
|
|
*/
|
|
|
|
|
|
/* Determines the distance that the ray must travel to hit the bounding volume of the given node */
|
|
static float ray_nearest_hit(BVHRayCastData *data, const float bv[6])
|
|
{
|
|
int i;
|
|
|
|
float low = 0, upper = data->hit.dist;
|
|
|
|
for (i = 0; i != 3; i++, bv += 2) {
|
|
if (data->ray_dot_axis[i] == 0.0f) {
|
|
/* axis aligned ray */
|
|
if (data->ray.origin[i] < bv[0] - data->ray.radius ||
|
|
data->ray.origin[i] > bv[1] + data->ray.radius)
|
|
{
|
|
return FLT_MAX;
|
|
}
|
|
}
|
|
else {
|
|
float ll = (bv[0] - data->ray.radius - data->ray.origin[i]) / data->ray_dot_axis[i];
|
|
float lu = (bv[1] + data->ray.radius - data->ray.origin[i]) / data->ray_dot_axis[i];
|
|
|
|
if (data->ray_dot_axis[i] > 0.0f) {
|
|
if (ll > low) low = ll;
|
|
if (lu < upper) upper = lu;
|
|
}
|
|
else {
|
|
if (lu > low) low = lu;
|
|
if (ll < upper) upper = ll;
|
|
}
|
|
|
|
if (low > upper) return FLT_MAX;
|
|
}
|
|
}
|
|
return low;
|
|
}
|
|
|
|
/* Determines the distance that the ray must travel to hit the bounding volume of the given node
|
|
* Based on Tactical Optimization of Ray/Box Intersection, by Graham Fyffe
|
|
* [http://tog.acm.org/resources/RTNews/html/rtnv21n1.html#art9]
|
|
*
|
|
* TODO this doesn't take data->ray.radius into consideration */
|
|
static float fast_ray_nearest_hit(const BVHRayCastData *data, const BVHNode *node)
|
|
{
|
|
const float *bv = node->bv;
|
|
|
|
float t1x = (bv[data->index[0]] - data->ray.origin[0]) * data->idot_axis[0];
|
|
float t2x = (bv[data->index[1]] - data->ray.origin[0]) * data->idot_axis[0];
|
|
float t1y = (bv[data->index[2]] - data->ray.origin[1]) * data->idot_axis[1];
|
|
float t2y = (bv[data->index[3]] - data->ray.origin[1]) * data->idot_axis[1];
|
|
float t1z = (bv[data->index[4]] - data->ray.origin[2]) * data->idot_axis[2];
|
|
float t2z = (bv[data->index[5]] - data->ray.origin[2]) * data->idot_axis[2];
|
|
|
|
if ((t1x > t2y || t2x < t1y || t1x > t2z || t2x < t1z || t1y > t2z || t2y < t1z) ||
|
|
(t2x < 0.0f || t2y < 0.0f || t2z < 0.0f) ||
|
|
(t1x > data->hit.dist || t1y > data->hit.dist || t1z > data->hit.dist))
|
|
{
|
|
return FLT_MAX;
|
|
}
|
|
else {
|
|
return max_fff(t1x, t1y, t1z);
|
|
}
|
|
}
|
|
|
|
static void dfs_raycast(BVHRayCastData *data, BVHNode *node)
|
|
{
|
|
int i;
|
|
|
|
/* ray-bv is really fast.. and simple tests revealed its worth to test it
|
|
* before calling the ray-primitive functions */
|
|
/* XXX: temporary solution for particles until fast_ray_nearest_hit supports ray.radius */
|
|
float dist = (data->ray.radius > 0.0f) ? ray_nearest_hit(data, node->bv) : fast_ray_nearest_hit(data, node);
|
|
if (dist >= data->hit.dist) return;
|
|
|
|
if (node->totnode == 0) {
|
|
if (data->callback) {
|
|
data->callback(data->userdata, node->index, &data->ray, &data->hit);
|
|
}
|
|
else {
|
|
data->hit.index = node->index;
|
|
data->hit.dist = dist;
|
|
madd_v3_v3v3fl(data->hit.co, data->ray.origin, data->ray.direction, dist);
|
|
}
|
|
}
|
|
else {
|
|
/* pick loop direction to dive into the tree (based on ray direction and split axis) */
|
|
if (data->ray_dot_axis[(int)node->main_axis] > 0.0f) {
|
|
for (i = 0; i != node->totnode; i++) {
|
|
dfs_raycast(data, node->children[i]);
|
|
}
|
|
}
|
|
else {
|
|
for (i = node->totnode - 1; i >= 0; i--) {
|
|
dfs_raycast(data, node->children[i]);
|
|
}
|
|
}
|
|
}
|
|
}
|
|
|
|
#if 0
|
|
static void iterative_raycast(BVHRayCastData *data, BVHNode *node)
|
|
{
|
|
while (node) {
|
|
float dist = fast_ray_nearest_hit(data, node);
|
|
if (dist >= data->hit.dist) {
|
|
node = node->skip[1];
|
|
continue;
|
|
}
|
|
|
|
if (node->totnode == 0) {
|
|
if (data->callback) {
|
|
data->callback(data->userdata, node->index, &data->ray, &data->hit);
|
|
}
|
|
else {
|
|
data->hit.index = node->index;
|
|
data->hit.dist = dist;
|
|
madd_v3_v3v3fl(data->hit.co, data->ray.origin, data->ray.direction, dist);
|
|
}
|
|
|
|
node = node->skip[1];
|
|
}
|
|
else {
|
|
node = node->children[0];
|
|
}
|
|
}
|
|
}
|
|
#endif
|
|
|
|
int BLI_bvhtree_ray_cast(BVHTree *tree, const float co[3], const float dir[3], float radius, BVHTreeRayHit *hit,
|
|
BVHTree_RayCastCallback callback, void *userdata)
|
|
{
|
|
int i;
|
|
BVHRayCastData data;
|
|
BVHNode *root = tree->nodes[tree->totleaf];
|
|
|
|
data.tree = tree;
|
|
|
|
data.callback = callback;
|
|
data.userdata = userdata;
|
|
|
|
copy_v3_v3(data.ray.origin, co);
|
|
copy_v3_v3(data.ray.direction, dir);
|
|
data.ray.radius = radius;
|
|
|
|
normalize_v3(data.ray.direction);
|
|
|
|
for (i = 0; i < 3; i++) {
|
|
data.ray_dot_axis[i] = dot_v3v3(data.ray.direction, KDOP_AXES[i]);
|
|
data.idot_axis[i] = 1.0f / data.ray_dot_axis[i];
|
|
|
|
if (fabsf(data.ray_dot_axis[i]) < FLT_EPSILON) {
|
|
data.ray_dot_axis[i] = 0.0;
|
|
}
|
|
data.index[2 * i] = data.idot_axis[i] < 0.0f ? 1 : 0;
|
|
data.index[2 * i + 1] = 1 - data.index[2 * i];
|
|
data.index[2 * i] += 2 * i;
|
|
data.index[2 * i + 1] += 2 * i;
|
|
}
|
|
|
|
|
|
if (hit)
|
|
memcpy(&data.hit, hit, sizeof(*hit));
|
|
else {
|
|
data.hit.index = -1;
|
|
data.hit.dist = FLT_MAX;
|
|
}
|
|
|
|
if (root) {
|
|
dfs_raycast(&data, root);
|
|
// iterative_raycast(&data, root);
|
|
}
|
|
|
|
|
|
if (hit)
|
|
memcpy(hit, &data.hit, sizeof(*hit));
|
|
|
|
return data.hit.index;
|
|
}
|
|
|
|
float BLI_bvhtree_bb_raycast(const float bv[6], const float light_start[3], const float light_end[3], float pos[3])
|
|
{
|
|
BVHRayCastData data;
|
|
float dist;
|
|
|
|
data.hit.dist = FLT_MAX;
|
|
|
|
/* get light direction */
|
|
data.ray.direction[0] = light_end[0] - light_start[0];
|
|
data.ray.direction[1] = light_end[1] - light_start[1];
|
|
data.ray.direction[2] = light_end[2] - light_start[2];
|
|
|
|
data.ray.radius = 0.0;
|
|
|
|
data.ray.origin[0] = light_start[0];
|
|
data.ray.origin[1] = light_start[1];
|
|
data.ray.origin[2] = light_start[2];
|
|
|
|
normalize_v3(data.ray.direction);
|
|
copy_v3_v3(data.ray_dot_axis, data.ray.direction);
|
|
|
|
dist = ray_nearest_hit(&data, bv);
|
|
|
|
if (dist > 0.0f) {
|
|
madd_v3_v3v3fl(pos, light_start, data.ray.direction, dist);
|
|
}
|
|
return dist;
|
|
|
|
}
|
|
|
|
/*
|
|
* Range Query - as request by broken :P
|
|
*
|
|
* Allocs and fills an array with the indexs of node that are on the given spherical range (center, radius)
|
|
* Returns the size of the array.
|
|
*/
|
|
typedef struct RangeQueryData {
|
|
BVHTree *tree;
|
|
const float *center;
|
|
float radius; /* squared radius */
|
|
|
|
int hits;
|
|
|
|
BVHTree_RangeQuery callback;
|
|
void *userdata;
|
|
|
|
|
|
} RangeQueryData;
|
|
|
|
|
|
static void dfs_range_query(RangeQueryData *data, BVHNode *node)
|
|
{
|
|
if (node->totnode == 0) {
|
|
#if 0 /*UNUSED*/
|
|
/* Calculate the node min-coords (if the node was a point then this is the point coordinates) */
|
|
float co[3];
|
|
co[0] = node->bv[0];
|
|
co[1] = node->bv[2];
|
|
co[2] = node->bv[4];
|
|
#endif
|
|
}
|
|
else {
|
|
int i;
|
|
for (i = 0; i != node->totnode; i++) {
|
|
float nearest[3];
|
|
float dist = calc_nearest_point(data->center, node->children[i], nearest);
|
|
if (dist < data->radius) {
|
|
/* Its a leaf.. call the callback */
|
|
if (node->children[i]->totnode == 0) {
|
|
data->hits++;
|
|
data->callback(data->userdata, node->children[i]->index, dist);
|
|
}
|
|
else
|
|
dfs_range_query(data, node->children[i]);
|
|
}
|
|
}
|
|
}
|
|
}
|
|
|
|
int BLI_bvhtree_range_query(BVHTree *tree, const float co[3], float radius, BVHTree_RangeQuery callback, void *userdata)
|
|
{
|
|
BVHNode *root = tree->nodes[tree->totleaf];
|
|
|
|
RangeQueryData data;
|
|
data.tree = tree;
|
|
data.center = co;
|
|
data.radius = radius * radius;
|
|
data.hits = 0;
|
|
|
|
data.callback = callback;
|
|
data.userdata = userdata;
|
|
|
|
if (root != NULL) {
|
|
float nearest[3];
|
|
float dist = calc_nearest_point(data.center, root, nearest);
|
|
if (dist < data.radius) {
|
|
/* Its a leaf.. call the callback */
|
|
if (root->totnode == 0) {
|
|
data.hits++;
|
|
data.callback(data.userdata, root->index, dist);
|
|
}
|
|
else
|
|
dfs_range_query(&data, root);
|
|
}
|
|
}
|
|
|
|
return data.hits;
|
|
}
|