/* Bullet Continuous Collision Detection and Physics Library Copyright (c) 2003-2006 Erwin Coumans http://continuousphysics.com/Bullet/ This software is provided 'as-is', without any express or implied warranty. In no event will the authors be held liable for any damages arising from the use of this software. Permission is granted to anyone to use this software for any purpose, including commercial applications, and to alter it and redistribute it freely, subject to the following restrictions: 1. The origin of this software must not be misrepresented; you must not claim that you wrote the original software. If you use this software in a product, an acknowledgment in the product documentation would be appreciated but is not required. 2. Altered source versions must be plainly marked as such, and must not be misrepresented as being the original software. 3. This notice may not be removed or altered from any source distribution. */ #include "btOptimizedBvh.h" #include "btStridingMeshInterface.h" #include "LinearMath/btAabbUtil2.h" #include "LinearMath/btIDebugDraw.h" btOptimizedBvh::btOptimizedBvh() : m_useQuantization(false), m_traversalMode(TRAVERSAL_STACKLESS_CACHE_FRIENDLY) //m_traversalMode(TRAVERSAL_STACKLESS) //m_traversalMode(TRAVERSAL_RECURSIVE) { } void btOptimizedBvh::build(btStridingMeshInterface* triangles, bool useQuantizedAabbCompression, const btVector3& bvhAabbMin, const btVector3& bvhAabbMax) { m_useQuantization = useQuantizedAabbCompression; // NodeArray triangleNodes; struct NodeTriangleCallback : public btInternalTriangleIndexCallback { NodeArray& m_triangleNodes; NodeTriangleCallback& operator=(NodeTriangleCallback& other) { m_triangleNodes = other.m_triangleNodes; return *this; } NodeTriangleCallback(NodeArray& triangleNodes) :m_triangleNodes(triangleNodes) { } virtual void internalProcessTriangleIndex(btVector3* triangle,int partId,int triangleIndex) { btOptimizedBvhNode node; btVector3 aabbMin,aabbMax; aabbMin.setValue(btScalar(1e30),btScalar(1e30),btScalar(1e30)); aabbMax.setValue(btScalar(-1e30),btScalar(-1e30),btScalar(-1e30)); aabbMin.setMin(triangle[0]); aabbMax.setMax(triangle[0]); aabbMin.setMin(triangle[1]); aabbMax.setMax(triangle[1]); aabbMin.setMin(triangle[2]); aabbMax.setMax(triangle[2]); //with quantization? node.m_aabbMinOrg = aabbMin; node.m_aabbMaxOrg = aabbMax; node.m_escapeIndex = -1; //for child nodes node.m_subPart = partId; node.m_triangleIndex = triangleIndex; m_triangleNodes.push_back(node); } }; struct QuantizedNodeTriangleCallback : public btInternalTriangleIndexCallback { QuantizedNodeArray& m_triangleNodes; const btOptimizedBvh* m_optimizedTree; // for quantization QuantizedNodeTriangleCallback& operator=(QuantizedNodeTriangleCallback& other) { m_triangleNodes = other.m_triangleNodes; m_optimizedTree = other.m_optimizedTree; return *this; } QuantizedNodeTriangleCallback(QuantizedNodeArray& triangleNodes,const btOptimizedBvh* tree) :m_triangleNodes(triangleNodes),m_optimizedTree(tree) { } virtual void internalProcessTriangleIndex(btVector3* triangle,int partId,int triangleIndex) { btAssert(partId==0); //negative indices are reserved for escapeIndex btAssert(triangleIndex>=0); btQuantizedBvhNode node; btVector3 aabbMin,aabbMax; aabbMin.setValue(btScalar(1e30),btScalar(1e30),btScalar(1e30)); aabbMax.setValue(btScalar(-1e30),btScalar(-1e30),btScalar(-1e30)); aabbMin.setMin(triangle[0]); aabbMax.setMax(triangle[0]); aabbMin.setMin(triangle[1]); aabbMax.setMax(triangle[1]); aabbMin.setMin(triangle[2]); aabbMax.setMax(triangle[2]); m_optimizedTree->quantizeWithClamp(&node.m_quantizedAabbMin[0],aabbMin); m_optimizedTree->quantizeWithClamp(&node.m_quantizedAabbMax[0],aabbMax); node.m_escapeIndexOrTriangleIndex = triangleIndex; m_triangleNodes.push_back(node); } }; int numLeafNodes = 0; if (m_useQuantization) { //initialize quantization values setQuantizationValues(bvhAabbMin,bvhAabbMax); QuantizedNodeTriangleCallback callback(m_quantizedLeafNodes,this); triangles->InternalProcessAllTriangles(&callback,m_bvhAabbMin,m_bvhAabbMax); //now we have an array of leafnodes in m_leafNodes numLeafNodes = m_quantizedLeafNodes.size(); m_quantizedContiguousNodes.resize(2*numLeafNodes); } else { NodeTriangleCallback callback(m_leafNodes); btVector3 aabbMin(btScalar(-1e30),btScalar(-1e30),btScalar(-1e30)); btVector3 aabbMax(btScalar(1e30),btScalar(1e30),btScalar(1e30)); triangles->InternalProcessAllTriangles(&callback,aabbMin,aabbMax); //now we have an array of leafnodes in m_leafNodes numLeafNodes = m_leafNodes.size(); m_contiguousNodes.resize(2*numLeafNodes); } m_curNodeIndex = 0; buildTree(0,numLeafNodes); ///if the entire tree is small then subtree size, we need to create a header info for the tree if(m_useQuantization && !m_SubtreeHeaders.size()) { btBvhSubtreeInfo& subtree = m_SubtreeHeaders.expand(); subtree.setAabbFromQuantizeNode(m_quantizedContiguousNodes[0]); subtree.m_rootNodeIndex = 0; subtree.m_subtreeSize = m_quantizedContiguousNodes[0].isLeafNode() ? 1 : m_quantizedContiguousNodes[0].getEscapeIndex(); } } void btOptimizedBvh::refitPartial(btStridingMeshInterface* meshInterface,const btVector3& aabbMin,const btVector3& aabbMax) { //incrementally initialize quantization values btAssert(m_useQuantization); btAssert(aabbMin.getX() > m_bvhAabbMin.getX()); btAssert(aabbMin.getY() > m_bvhAabbMin.getY()); btAssert(aabbMin.getZ() > m_bvhAabbMin.getZ()); btAssert(aabbMax.getX() < m_bvhAabbMax.getX()); btAssert(aabbMax.getY() < m_bvhAabbMax.getY()); btAssert(aabbMax.getZ() < m_bvhAabbMax.getZ()); ///we should update all quantization values, using updateBvhNodes(meshInterface); ///but we only update chunks that overlap the given aabb unsigned short quantizedQueryAabbMin[3]; unsigned short quantizedQueryAabbMax[3]; quantizeWithClamp(&quantizedQueryAabbMin[0],aabbMin); quantizeWithClamp(&quantizedQueryAabbMax[0],aabbMax); int i; for (i=0;im_SubtreeHeaders.size();i++) { btBvhSubtreeInfo& subtree = m_SubtreeHeaders[i]; bool overlap = testQuantizedAabbAgainstQuantizedAabb(quantizedQueryAabbMin,quantizedQueryAabbMax,subtree.m_quantizedAabbMin,subtree.m_quantizedAabbMax); if (overlap) { updateBvhNodes(meshInterface,subtree.m_rootNodeIndex,subtree.m_rootNodeIndex+subtree.m_subtreeSize,i); subtree.setAabbFromQuantizeNode(m_quantizedContiguousNodes[subtree.m_rootNodeIndex]); } } } ///just for debugging, to visualize the individual patches/subtrees #ifdef DEBUG_PATCH_COLORS btVector3 color[4]= { btVector3(255,0,0), btVector3(0,255,0), btVector3(0,0,255), btVector3(0,255,255) }; #endif //DEBUG_PATCH_COLORS void btOptimizedBvh::updateBvhNodes(btStridingMeshInterface* meshInterface,int firstNode,int endNode,int index) { (void)index; btAssert(m_useQuantization); int nodeSubPart=0; //get access info to trianglemesh data const unsigned char *vertexbase; int numverts; PHY_ScalarType type; int stride; const unsigned char *indexbase; int indexstride; int numfaces; PHY_ScalarType indicestype; meshInterface->getLockedReadOnlyVertexIndexBase(&vertexbase,numverts, type,stride,&indexbase,indexstride,numfaces,indicestype,nodeSubPart); btVector3 triangleVerts[3]; btVector3 aabbMin,aabbMax; const btVector3& meshScaling = meshInterface->getScaling(); int i; for (i=endNode-1;i>=firstNode;i--) { btQuantizedBvhNode& curNode = m_quantizedContiguousNodes[i]; if (curNode.isLeafNode()) { //recalc aabb from triangle data int nodeTriangleIndex = curNode.getTriangleIndex(); //triangles->getLockedReadOnlyVertexIndexBase(vertexBase,numVerts, int* gfxbase = (int*)(indexbase+nodeTriangleIndex*indexstride); for (int j=2;j>=0;j--) { int graphicsindex = gfxbase[j]; btScalar* graphicsbase = (btScalar*)(vertexbase+graphicsindex*stride); #ifdef DEBUG_PATCH_COLORS btVector3 mycolor = color[index&3]; graphicsbase[8] = mycolor.getX(); graphicsbase[9] = mycolor.getY(); graphicsbase[10] = mycolor.getZ(); #endif //DEBUG_PATCH_COLORS triangleVerts[j] = btVector3( graphicsbase[0]*meshScaling.getX(), graphicsbase[1]*meshScaling.getY(), graphicsbase[2]*meshScaling.getZ()); } aabbMin.setValue(btScalar(1e30),btScalar(1e30),btScalar(1e30)); aabbMax.setValue(btScalar(-1e30),btScalar(-1e30),btScalar(-1e30)); aabbMin.setMin(triangleVerts[0]); aabbMax.setMax(triangleVerts[0]); aabbMin.setMin(triangleVerts[1]); aabbMax.setMax(triangleVerts[1]); aabbMin.setMin(triangleVerts[2]); aabbMax.setMax(triangleVerts[2]); quantizeWithClamp(&curNode.m_quantizedAabbMin[0],aabbMin); quantizeWithClamp(&curNode.m_quantizedAabbMax[0],aabbMax); } else { //combine aabb from both children btQuantizedBvhNode* leftChildNode = &m_quantizedContiguousNodes[i+1]; btQuantizedBvhNode* rightChildNode = leftChildNode->isLeafNode() ? &m_quantizedContiguousNodes[i+2] : &m_quantizedContiguousNodes[i+1+leftChildNode->getEscapeIndex()]; { for (int i=0;i<3;i++) { curNode.m_quantizedAabbMin[i] = leftChildNode->m_quantizedAabbMin[i]; if (curNode.m_quantizedAabbMin[i]>rightChildNode->m_quantizedAabbMin[i]) curNode.m_quantizedAabbMin[i]=rightChildNode->m_quantizedAabbMin[i]; curNode.m_quantizedAabbMax[i] = leftChildNode->m_quantizedAabbMax[i]; if (curNode.m_quantizedAabbMax[i] < rightChildNode->m_quantizedAabbMax[i]) curNode.m_quantizedAabbMax[i] = rightChildNode->m_quantizedAabbMax[i]; } } } } meshInterface->unLockReadOnlyVertexBase(nodeSubPart); } void btOptimizedBvh::setQuantizationValues(const btVector3& bvhAabbMin,const btVector3& bvhAabbMax,btScalar quantizationMargin) { //enlarge the AABB to avoid division by zero when initializing the quantization values btVector3 clampValue(quantizationMargin,quantizationMargin,quantizationMargin); m_bvhAabbMin = bvhAabbMin - clampValue; m_bvhAabbMax = bvhAabbMax + clampValue; btVector3 aabbSize = m_bvhAabbMax - m_bvhAabbMin; m_bvhQuantization = btVector3(btScalar(65535.0),btScalar(65535.0),btScalar(65535.0)) / aabbSize; } void btOptimizedBvh::refit(btStridingMeshInterface* meshInterface) { if (m_useQuantization) { //calculate new aabb btVector3 aabbMin,aabbMax; meshInterface->calculateAabbBruteForce(aabbMin,aabbMax); setQuantizationValues(aabbMin,aabbMax); updateBvhNodes(meshInterface,0,m_curNodeIndex,0); ///now update all subtree headers int i; for (i=0;i gMaxStackDepth) gMaxStackDepth = gStackDepth; #endif //DEBUG_TREE_BUILDING int splitAxis, splitIndex, i; int numIndices =endIndex-startIndex; int curIndex = m_curNodeIndex; assert(numIndices>0); if (numIndices==1) { #ifdef DEBUG_TREE_BUILDING gStackDepth--; #endif //DEBUG_TREE_BUILDING assignInternalNodeFromLeafNode(m_curNodeIndex,startIndex); m_curNodeIndex++; return; } //calculate Best Splitting Axis and where to split it. Sort the incoming 'leafNodes' array within range 'startIndex/endIndex'. splitAxis = calcSplittingAxis(startIndex,endIndex); splitIndex = sortAndCalcSplittingIndex(startIndex,endIndex,splitAxis); int internalNodeIndex = m_curNodeIndex; setInternalNodeAabbMax(m_curNodeIndex,btVector3(btScalar(-1e30),btScalar(-1e30),btScalar(-1e30))); setInternalNodeAabbMin(m_curNodeIndex,btVector3(btScalar(1e30),btScalar(1e30),btScalar(1e30))); for (i=startIndex;im_escapeIndex; int leftChildNodexIndex = m_curNodeIndex; //build left child tree buildTree(startIndex,splitIndex); int rightChildNodexIndex = m_curNodeIndex; //build right child tree buildTree(splitIndex,endIndex); #ifdef DEBUG_TREE_BUILDING gStackDepth--; #endif //DEBUG_TREE_BUILDING int escapeIndex = m_curNodeIndex - curIndex; if (m_useQuantization) { //escapeIndex is the number of nodes of this subtree const int sizeQuantizedNode =sizeof(btQuantizedBvhNode); const int treeSizeInBytes = escapeIndex * sizeQuantizedNode; if (treeSizeInBytes > MAX_SUBTREE_SIZE_IN_BYTES) { updateSubtreeHeaders(leftChildNodexIndex,rightChildNodexIndex); } } setInternalNodeEscapeIndex(internalNodeIndex,escapeIndex); } void btOptimizedBvh::updateSubtreeHeaders(int leftChildNodexIndex,int rightChildNodexIndex) { btAssert(m_useQuantization); btQuantizedBvhNode& leftChildNode = m_quantizedContiguousNodes[leftChildNodexIndex]; int leftSubTreeSize = leftChildNode.isLeafNode() ? 1 : leftChildNode.getEscapeIndex(); int leftSubTreeSizeInBytes = leftSubTreeSize * sizeof(btQuantizedBvhNode); btQuantizedBvhNode& rightChildNode = m_quantizedContiguousNodes[rightChildNodexIndex]; int rightSubTreeSize = rightChildNode.isLeafNode() ? 1 : rightChildNode.getEscapeIndex(); int rightSubTreeSizeInBytes = rightSubTreeSize * sizeof(btQuantizedBvhNode); if(leftSubTreeSizeInBytes <= MAX_SUBTREE_SIZE_IN_BYTES) { btBvhSubtreeInfo& subtree = m_SubtreeHeaders.expand(); subtree.setAabbFromQuantizeNode(leftChildNode); subtree.m_rootNodeIndex = leftChildNodexIndex; subtree.m_subtreeSize = leftSubTreeSize; } if(rightSubTreeSizeInBytes <= MAX_SUBTREE_SIZE_IN_BYTES) { btBvhSubtreeInfo& subtree = m_SubtreeHeaders.expand(); subtree.setAabbFromQuantizeNode(rightChildNode); subtree.m_rootNodeIndex = rightChildNodexIndex; subtree.m_subtreeSize = rightSubTreeSize; } } int btOptimizedBvh::sortAndCalcSplittingIndex(int startIndex,int endIndex,int splitAxis) { int i; int splitIndex =startIndex; int numIndices = endIndex - startIndex; btScalar splitValue; btVector3 means(btScalar(0.),btScalar(0.),btScalar(0.)); for (i=startIndex;i splitValue) { //swap swapLeafNodes(i,splitIndex); splitIndex++; } } //if the splitIndex causes unbalanced trees, fix this by using the center in between startIndex and endIndex //otherwise the tree-building might fail due to stack-overflows in certain cases. //unbalanced1 is unsafe: it can cause stack overflows //bool unbalanced1 = ((splitIndex==startIndex) || (splitIndex == (endIndex-1))); //unbalanced2 should work too: always use center (perfect balanced trees) //bool unbalanced2 = true; //this should be safe too: int rangeBalancedIndices = numIndices/3; bool unbalanced = ((splitIndex<=(startIndex+rangeBalancedIndices)) || (splitIndex >=(endIndex-1-rangeBalancedIndices))); if (unbalanced) { splitIndex = startIndex+ (numIndices>>1); } bool unbal = (splitIndex==startIndex) || (splitIndex == (endIndex)); btAssert(!unbal); return splitIndex; } int btOptimizedBvh::calcSplittingAxis(int startIndex,int endIndex) { int i; btVector3 means(btScalar(0.),btScalar(0.),btScalar(0.)); btVector3 variance(btScalar(0.),btScalar(0.),btScalar(0.)); int numIndices = endIndex-startIndex; for (i=startIndex;im_aabbMinOrg,rootNode->m_aabbMaxOrg); isLeafNode = rootNode->m_escapeIndex == -1; if (isLeafNode && aabbOverlap) { nodeCallback->processNode(rootNode->m_subPart,rootNode->m_triangleIndex); } if (aabbOverlap || isLeafNode) { rootNode++; curIndex++; } else { escapeIndex = rootNode->m_escapeIndex; rootNode += escapeIndex; curIndex += escapeIndex; } } if (maxIterations < walkIterations) maxIterations = walkIterations; } /* ///this was the original recursive traversal, before we optimized towards stackless traversal void btOptimizedBvh::walkTree(btOptimizedBvhNode* rootNode,btNodeOverlapCallback* nodeCallback,const btVector3& aabbMin,const btVector3& aabbMax) const { bool isLeafNode, aabbOverlap = TestAabbAgainstAabb2(aabbMin,aabbMax,rootNode->m_aabbMin,rootNode->m_aabbMax); if (aabbOverlap) { isLeafNode = (!rootNode->m_leftChild && !rootNode->m_rightChild); if (isLeafNode) { nodeCallback->processNode(rootNode); } else { walkTree(rootNode->m_leftChild,nodeCallback,aabbMin,aabbMax); walkTree(rootNode->m_rightChild,nodeCallback,aabbMin,aabbMax); } } } */ void btOptimizedBvh::walkRecursiveQuantizedTreeAgainstQueryAabb(const btQuantizedBvhNode* currentNode,btNodeOverlapCallback* nodeCallback,unsigned short int* quantizedQueryAabbMin,unsigned short int* quantizedQueryAabbMax) const { btAssert(m_useQuantization); bool aabbOverlap, isLeafNode; aabbOverlap = testQuantizedAabbAgainstQuantizedAabb(quantizedQueryAabbMin,quantizedQueryAabbMax,currentNode->m_quantizedAabbMin,currentNode->m_quantizedAabbMax); isLeafNode = currentNode->isLeafNode(); if (aabbOverlap) { if (isLeafNode) { nodeCallback->processNode(0,currentNode->getTriangleIndex()); } else { //process left and right children const btQuantizedBvhNode* leftChildNode = currentNode+1; walkRecursiveQuantizedTreeAgainstQueryAabb(leftChildNode,nodeCallback,quantizedQueryAabbMin,quantizedQueryAabbMax); const btQuantizedBvhNode* rightChildNode = leftChildNode->isLeafNode() ? leftChildNode+1:leftChildNode+leftChildNode->getEscapeIndex(); walkRecursiveQuantizedTreeAgainstQueryAabb(rightChildNode,nodeCallback,quantizedQueryAabbMin,quantizedQueryAabbMax); } } } void btOptimizedBvh::walkStacklessQuantizedTree(btNodeOverlapCallback* nodeCallback,unsigned short int* quantizedQueryAabbMin,unsigned short int* quantizedQueryAabbMax,int startNodeIndex,int endNodeIndex) const { btAssert(m_useQuantization); int curIndex = startNodeIndex; int walkIterations = 0; int subTreeSize = endNodeIndex - startNodeIndex; const btQuantizedBvhNode* rootNode = &m_quantizedContiguousNodes[startNodeIndex]; int escapeIndex; bool aabbOverlap, isLeafNode; while (curIndex < endNodeIndex) { //#define VISUALLY_ANALYZE_BVH 1 #ifdef VISUALLY_ANALYZE_BVH //some code snippet to debugDraw aabb, to visually analyze bvh structure static int drawPatch = 0; //need some global access to a debugDrawer extern btIDebugDraw* debugDrawerPtr; if (curIndex==drawPatch) { btVector3 aabbMin,aabbMax; aabbMin = unQuantize(rootNode->m_quantizedAabbMin); aabbMax = unQuantize(rootNode->m_quantizedAabbMax); btVector3 color(1,0,0); debugDrawerPtr->drawAabb(aabbMin,aabbMax,color); } #endif//VISUALLY_ANALYZE_BVH //catch bugs in tree data assert (walkIterations < subTreeSize); walkIterations++; aabbOverlap = testQuantizedAabbAgainstQuantizedAabb(quantizedQueryAabbMin,quantizedQueryAabbMax,rootNode->m_quantizedAabbMin,rootNode->m_quantizedAabbMax); isLeafNode = rootNode->isLeafNode(); if (isLeafNode && aabbOverlap) { nodeCallback->processNode(0,rootNode->getTriangleIndex()); } if (aabbOverlap || isLeafNode) { rootNode++; curIndex++; } else { escapeIndex = rootNode->getEscapeIndex(); rootNode += escapeIndex; curIndex += escapeIndex; } } if (maxIterations < walkIterations) maxIterations = walkIterations; } //This traversal can be called from Playstation 3 SPU void btOptimizedBvh::walkStacklessQuantizedTreeCacheFriendly(btNodeOverlapCallback* nodeCallback,unsigned short int* quantizedQueryAabbMin,unsigned short int* quantizedQueryAabbMax) const { btAssert(m_useQuantization); int i; for (i=0;im_SubtreeHeaders.size();i++) { const btBvhSubtreeInfo& subtree = m_SubtreeHeaders[i]; bool overlap = testQuantizedAabbAgainstQuantizedAabb(quantizedQueryAabbMin,quantizedQueryAabbMax,subtree.m_quantizedAabbMin,subtree.m_quantizedAabbMax); if (overlap) { walkStacklessQuantizedTree(nodeCallback,quantizedQueryAabbMin,quantizedQueryAabbMax, subtree.m_rootNodeIndex, subtree.m_rootNodeIndex+subtree.m_subtreeSize); } } } void btOptimizedBvh::reportSphereOverlappingNodex(btNodeOverlapCallback* nodeCallback,const btVector3& aabbMin,const btVector3& aabbMax) const { (void)nodeCallback; (void)aabbMin; (void)aabbMax; //not yet, please use aabb btAssert(0); } void btOptimizedBvh::quantizeWithClamp(unsigned short* out, const btVector3& point) const { btAssert(m_useQuantization); btVector3 clampedPoint(point); clampedPoint.setMax(m_bvhAabbMin); clampedPoint.setMin(m_bvhAabbMax); btVector3 v = (clampedPoint - m_bvhAabbMin) * m_bvhQuantization; out[0] = (unsigned short)(v.getX()+0.5f); out[1] = (unsigned short)(v.getY()+0.5f); out[2] = (unsigned short)(v.getZ()+0.5f); } btVector3 btOptimizedBvh::unQuantize(const unsigned short* vecIn) const { btVector3 vecOut; vecOut.setValue( (btScalar)(vecIn[0]) / (m_bvhQuantization.getX()), (btScalar)(vecIn[1]) / (m_bvhQuantization.getY()), (btScalar)(vecIn[2]) / (m_bvhQuantization.getZ())); vecOut += m_bvhAabbMin; return vecOut; } void btOptimizedBvh::swapLeafNodes(int i,int splitIndex) { if (m_useQuantization) { btQuantizedBvhNode tmp = m_quantizedLeafNodes[i]; m_quantizedLeafNodes[i] = m_quantizedLeafNodes[splitIndex]; m_quantizedLeafNodes[splitIndex] = tmp; } else { btOptimizedBvhNode tmp = m_leafNodes[i]; m_leafNodes[i] = m_leafNodes[splitIndex]; m_leafNodes[splitIndex] = tmp; } } void btOptimizedBvh::assignInternalNodeFromLeafNode(int internalNode,int leafNodeIndex) { if (m_useQuantization) { m_quantizedContiguousNodes[internalNode] = m_quantizedLeafNodes[leafNodeIndex]; } else { m_contiguousNodes[internalNode] = m_leafNodes[leafNodeIndex]; } }