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+/*
+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.
+*/
+//Initial Author Jackson Lee, 2014
+
+typedef float b3Scalar;
+typedef float4 b3Vector3;
+#define b3Max max
+#define b3Min min
+#define b3Sqrt sqrt
+
+typedef struct
+{
+ unsigned int m_key;
+ unsigned int m_value;
+} SortDataCL;
+
+typedef struct
+{
+ union
+ {
+ float4 m_min;
+ float m_minElems[4];
+ int m_minIndices[4];
+ };
+ union
+ {
+ float4 m_max;
+ float m_maxElems[4];
+ int m_maxIndices[4];
+ };
+} b3AabbCL;
+
+
+unsigned int interleaveBits(unsigned int x)
+{
+ //........ ........ ......12 3456789A //x
+ //....1..2 ..3..4.. 5..6..7. .8..9..A //x after interleaving bits
+
+ //......12 3456789A ......12 3456789A //x ^ (x << 16)
+ //11111111 ........ ........ 11111111 //0x FF 00 00 FF
+ //......12 ........ ........ 3456789A //x = (x ^ (x << 16)) & 0xFF0000FF;
+
+ //......12 ........ 3456789A 3456789A //x ^ (x << 8)
+ //......11 ........ 1111.... ....1111 //0x 03 00 F0 0F
+ //......12 ........ 3456.... ....789A //x = (x ^ (x << 8)) & 0x0300F00F;
+
+ //..12..12 ....3456 3456.... 789A789A //x ^ (x << 4)
+ //......11 ....11.. ..11.... 11....11 //0x 03 0C 30 C3
+ //......12 ....34.. ..56.... 78....9A //x = (x ^ (x << 4)) & 0x030C30C3;
+
+ //....1212 ..3434.. 5656..78 78..9A9A //x ^ (x << 2)
+ //....1..1 ..1..1.. 1..1..1. .1..1..1 //0x 09 24 92 49
+ //....1..2 ..3..4.. 5..6..7. .8..9..A //x = (x ^ (x << 2)) & 0x09249249;
+
+ //........ ........ ......11 11111111 //0x000003FF
+ x &= 0x000003FF; //Clear all bits above bit 10
+
+ x = (x ^ (x << 16)) & 0xFF0000FF;
+ x = (x ^ (x << 8)) & 0x0300F00F;
+ x = (x ^ (x << 4)) & 0x030C30C3;
+ x = (x ^ (x << 2)) & 0x09249249;
+
+ return x;
+}
+unsigned int getMortonCode(unsigned int x, unsigned int y, unsigned int z)
+{
+ return interleaveBits(x) << 0 | interleaveBits(y) << 1 | interleaveBits(z) << 2;
+}
+
+__kernel void separateAabbs(__global b3AabbCL* unseparatedAabbs, __global int* aabbIndices, __global b3AabbCL* out_aabbs, int numAabbsToSeparate)
+{
+ int separatedAabbIndex = get_global_id(0);
+ if(separatedAabbIndex >= numAabbsToSeparate) return;
+
+ int unseparatedAabbIndex = aabbIndices[separatedAabbIndex];
+ out_aabbs[separatedAabbIndex] = unseparatedAabbs[unseparatedAabbIndex];
+}
+
+//Should replace with an optimized parallel reduction
+__kernel void findAllNodesMergedAabb(__global b3AabbCL* out_mergedAabb, int numAabbsNeedingMerge)
+{
+ //Each time this kernel is added to the command queue,
+ //the number of AABBs needing to be merged is halved
+ //
+ //Example with 159 AABBs:
+ // numRemainingAabbs == 159 / 2 + 159 % 2 == 80
+ // numMergedAabbs == 159 - 80 == 79
+ //So, indices [0, 78] are merged with [0 + 80, 78 + 80]
+
+ int numRemainingAabbs = numAabbsNeedingMerge / 2 + numAabbsNeedingMerge % 2;
+ int numMergedAabbs = numAabbsNeedingMerge - numRemainingAabbs;
+
+ int aabbIndex = get_global_id(0);
+ if(aabbIndex >= numMergedAabbs) return;
+
+ int otherAabbIndex = aabbIndex + numRemainingAabbs;
+
+ b3AabbCL aabb = out_mergedAabb[aabbIndex];
+ b3AabbCL otherAabb = out_mergedAabb[otherAabbIndex];
+
+ b3AabbCL mergedAabb;
+ mergedAabb.m_min = b3Min(aabb.m_min, otherAabb.m_min);
+ mergedAabb.m_max = b3Max(aabb.m_max, otherAabb.m_max);
+ out_mergedAabb[aabbIndex] = mergedAabb;
+}
+
+__kernel void assignMortonCodesAndAabbIndicies(__global b3AabbCL* worldSpaceAabbs, __global b3AabbCL* mergedAabbOfAllNodes,
+ __global SortDataCL* out_mortonCodesAndAabbIndices, int numAabbs)
+{
+ int leafNodeIndex = get_global_id(0); //Leaf node index == AABB index
+ if(leafNodeIndex >= numAabbs) return;
+
+ b3AabbCL mergedAabb = mergedAabbOfAllNodes[0];
+ b3Vector3 gridCenter = (mergedAabb.m_min + mergedAabb.m_max) * 0.5f;
+ b3Vector3 gridCellSize = (mergedAabb.m_max - mergedAabb.m_min) / (float)1024;
+
+ b3AabbCL aabb = worldSpaceAabbs[leafNodeIndex];
+ b3Vector3 aabbCenter = (aabb.m_min + aabb.m_max) * 0.5f;
+ b3Vector3 aabbCenterRelativeToGrid = aabbCenter - gridCenter;
+
+ //Quantize into integer coordinates
+ //floor() is needed to prevent the center cell, at (0,0,0) from being twice the size
+ b3Vector3 gridPosition = aabbCenterRelativeToGrid / gridCellSize;
+
+ int4 discretePosition;
+ discretePosition.x = (int)( (gridPosition.x >= 0.0f) ? gridPosition.x : floor(gridPosition.x) );
+ discretePosition.y = (int)( (gridPosition.y >= 0.0f) ? gridPosition.y : floor(gridPosition.y) );
+ discretePosition.z = (int)( (gridPosition.z >= 0.0f) ? gridPosition.z : floor(gridPosition.z) );
+
+ //Clamp coordinates into [-512, 511], then convert range from [-512, 511] to [0, 1023]
+ discretePosition = b3Max( -512, b3Min(discretePosition, 511) );
+ discretePosition += 512;
+
+ //Interleave bits(assign a morton code, also known as a z-curve)
+ unsigned int mortonCode = getMortonCode(discretePosition.x, discretePosition.y, discretePosition.z);
+
+ //
+ SortDataCL mortonCodeIndexPair;
+ mortonCodeIndexPair.m_key = mortonCode;
+ mortonCodeIndexPair.m_value = leafNodeIndex;
+
+ out_mortonCodesAndAabbIndices[leafNodeIndex] = mortonCodeIndexPair;
+}
+
+#define B3_PLVBH_TRAVERSE_MAX_STACK_SIZE 128
+
+//The most significant bit(0x80000000) of a int32 is used to distinguish between leaf and internal nodes.
+//If it is set, then the index is for an internal node; otherwise, it is a leaf node.
+//In both cases, the bit should be cleared to access the actual node index.
+int isLeafNode(int index) { return (index >> 31 == 0); }
+int getIndexWithInternalNodeMarkerRemoved(int index) { return index & (~0x80000000); }
+int getIndexWithInternalNodeMarkerSet(int isLeaf, int index) { return (isLeaf) ? index : (index | 0x80000000); }
+
+//From sap.cl
+#define NEW_PAIR_MARKER -1
+
+bool TestAabbAgainstAabb2(const b3AabbCL* aabb1, const b3AabbCL* aabb2)
+{
+ bool overlap = true;
+ overlap = (aabb1->m_min.x > aabb2->m_max.x || aabb1->m_max.x < aabb2->m_min.x) ? false : overlap;
+ overlap = (aabb1->m_min.z > aabb2->m_max.z || aabb1->m_max.z < aabb2->m_min.z) ? false : overlap;
+ overlap = (aabb1->m_min.y > aabb2->m_max.y || aabb1->m_max.y < aabb2->m_min.y) ? false : overlap;
+ return overlap;
+}
+//From sap.cl
+
+__kernel void plbvhCalculateOverlappingPairs(__global b3AabbCL* rigidAabbs,
+
+ __global int* rootNodeIndex,
+ __global int2* internalNodeChildIndices,
+ __global b3AabbCL* internalNodeAabbs,
+ __global int2* internalNodeLeafIndexRanges,
+
+ __global SortDataCL* mortonCodesAndAabbIndices,
+ __global int* out_numPairs, __global int4* out_overlappingPairs,
+ int maxPairs, int numQueryAabbs)
+{
+ //Using get_group_id()/get_local_id() is Faster than get_global_id(0) since
+ //mortonCodesAndAabbIndices[] contains rigid body indices sorted along the z-curve (more spatially coherent)
+ int queryBvhNodeIndex = get_group_id(0) * get_local_size(0) + get_local_id(0);
+ if(queryBvhNodeIndex >= numQueryAabbs) return;
+
+ int queryRigidIndex = mortonCodesAndAabbIndices[queryBvhNodeIndex].m_value;
+ b3AabbCL queryAabb = rigidAabbs[queryRigidIndex];
+
+ int stack[B3_PLVBH_TRAVERSE_MAX_STACK_SIZE];
+
+ int stackSize = 1;
+ stack[0] = *rootNodeIndex;
+
+ while(stackSize)
+ {
+ int internalOrLeafNodeIndex = stack[ stackSize - 1 ];
+ --stackSize;
+
+ int isLeaf = isLeafNode(internalOrLeafNodeIndex); //Internal node if false
+ int bvhNodeIndex = getIndexWithInternalNodeMarkerRemoved(internalOrLeafNodeIndex);
+
+ //Optimization - if the BVH is structured as a binary radix tree, then
+ //each internal node corresponds to a contiguous range of leaf nodes(internalNodeLeafIndexRanges[]).
+ //This can be used to avoid testing each AABB-AABB pair twice, including preventing each node from colliding with itself.
+ {
+ int highestLeafIndex = (isLeaf) ? bvhNodeIndex : internalNodeLeafIndexRanges[bvhNodeIndex].y;
+ if(highestLeafIndex <= queryBvhNodeIndex) continue;
+ }
+
+ //bvhRigidIndex is not used if internal node
+ int bvhRigidIndex = (isLeaf) ? mortonCodesAndAabbIndices[bvhNodeIndex].m_value : -1;
+
+ b3AabbCL bvhNodeAabb = (isLeaf) ? rigidAabbs[bvhRigidIndex] : internalNodeAabbs[bvhNodeIndex];
+ if( TestAabbAgainstAabb2(&queryAabb, &bvhNodeAabb) )
+ {
+ if(isLeaf)
+ {
+ int4 pair;
+ pair.x = rigidAabbs[queryRigidIndex].m_minIndices[3];
+ pair.y = rigidAabbs[bvhRigidIndex].m_minIndices[3];
+ pair.z = NEW_PAIR_MARKER;
+ pair.w = NEW_PAIR_MARKER;
+
+ int pairIndex = atomic_inc(out_numPairs);
+ if(pairIndex < maxPairs) out_overlappingPairs[pairIndex] = pair;
+ }
+
+ if(!isLeaf) //Internal node
+ {
+ if(stackSize + 2 > B3_PLVBH_TRAVERSE_MAX_STACK_SIZE)
+ {
+ //Error
+ }
+ else
+ {
+ stack[ stackSize++ ] = internalNodeChildIndices[bvhNodeIndex].x;
+ stack[ stackSize++ ] = internalNodeChildIndices[bvhNodeIndex].y;
+ }
+ }
+ }
+
+ }
+}
+
+
+//From rayCastKernels.cl
+typedef struct
+{
+ float4 m_from;
+ float4 m_to;
+} b3RayInfo;
+//From rayCastKernels.cl
+
+b3Vector3 b3Vector3_normalize(b3Vector3 v)
+{
+ b3Vector3 normal = (b3Vector3){v.x, v.y, v.z, 0.f};
+ return normalize(normal); //OpenCL normalize == vector4 normalize
+}
+b3Scalar b3Vector3_length2(b3Vector3 v) { return v.x*v.x + v.y*v.y + v.z*v.z; }
+b3Scalar b3Vector3_dot(b3Vector3 a, b3Vector3 b) { return a.x*b.x + a.y*b.y + a.z*b.z; }
+
+int rayIntersectsAabb(b3Vector3 rayOrigin, b3Scalar rayLength, b3Vector3 rayNormalizedDirection, b3AabbCL aabb)
+{
+ //AABB is considered as 3 pairs of 2 planes( {x_min, x_max}, {y_min, y_max}, {z_min, z_max} ).
+ //t_min is the point of intersection with the closer plane, t_max is the point of intersection with the farther plane.
+ //
+ //if (rayNormalizedDirection.x < 0.0f), then max.x will be the near plane
+ //and min.x will be the far plane; otherwise, it is reversed.
+ //
+ //In order for there to be a collision, the t_min and t_max of each pair must overlap.
+ //This can be tested for by selecting the highest t_min and lowest t_max and comparing them.
+
+ int4 isNegative = isless( rayNormalizedDirection, ((b3Vector3){0.0f, 0.0f, 0.0f, 0.0f}) ); //isless(x,y) returns (x < y)
+
+ //When using vector types, the select() function checks the most signficant bit,
+ //but isless() sets the least significant bit.
+ isNegative <<= 31;
+
+ //select(b, a, condition) == condition ? a : b
+ //When using select() with vector types, (condition[i]) is true if its most significant bit is 1
+ b3Vector3 t_min = ( select(aabb.m_min, aabb.m_max, isNegative) - rayOrigin ) / rayNormalizedDirection;
+ b3Vector3 t_max = ( select(aabb.m_max, aabb.m_min, isNegative) - rayOrigin ) / rayNormalizedDirection;
+
+ b3Scalar t_min_final = 0.0f;
+ b3Scalar t_max_final = rayLength;
+
+ //Must use fmin()/fmax(); if one of the parameters is NaN, then the parameter that is not NaN is returned.
+ //Behavior of min()/max() with NaNs is undefined. (See OpenCL Specification 1.2 [6.12.2] and [6.12.4])
+ //Since the innermost fmin()/fmax() is always not NaN, this should never return NaN.
+ t_min_final = fmax( t_min.z, fmax(t_min.y, fmax(t_min.x, t_min_final)) );
+ t_max_final = fmin( t_max.z, fmin(t_max.y, fmin(t_max.x, t_max_final)) );
+
+ return (t_min_final <= t_max_final);
+}
+
+__kernel void plbvhRayTraverse(__global b3AabbCL* rigidAabbs,
+
+ __global int* rootNodeIndex,
+ __global int2* internalNodeChildIndices,
+ __global b3AabbCL* internalNodeAabbs,
+ __global int2* internalNodeLeafIndexRanges,
+ __global SortDataCL* mortonCodesAndAabbIndices,
+
+ __global b3RayInfo* rays,
+
+ __global int* out_numRayRigidPairs,
+ __global int2* out_rayRigidPairs,
+ int maxRayRigidPairs, int numRays)
+{
+ int rayIndex = get_global_id(0);
+ if(rayIndex >= numRays) return;
+
+ //
+ b3Vector3 rayFrom = rays[rayIndex].m_from;
+ b3Vector3 rayTo = rays[rayIndex].m_to;
+ b3Vector3 rayNormalizedDirection = b3Vector3_normalize(rayTo - rayFrom);
+ b3Scalar rayLength = b3Sqrt( b3Vector3_length2(rayTo - rayFrom) );
+
+ //
+ int stack[B3_PLVBH_TRAVERSE_MAX_STACK_SIZE];
+
+ int stackSize = 1;
+ stack[0] = *rootNodeIndex;
+
+ while(stackSize)
+ {
+ int internalOrLeafNodeIndex = stack[ stackSize - 1 ];
+ --stackSize;
+
+ int isLeaf = isLeafNode(internalOrLeafNodeIndex); //Internal node if false
+ int bvhNodeIndex = getIndexWithInternalNodeMarkerRemoved(internalOrLeafNodeIndex);
+
+ //bvhRigidIndex is not used if internal node
+ int bvhRigidIndex = (isLeaf) ? mortonCodesAndAabbIndices[bvhNodeIndex].m_value : -1;
+
+ b3AabbCL bvhNodeAabb = (isLeaf) ? rigidAabbs[bvhRigidIndex] : internalNodeAabbs[bvhNodeIndex];
+ if( rayIntersectsAabb(rayFrom, rayLength, rayNormalizedDirection, bvhNodeAabb) )
+ {
+ if(isLeaf)
+ {
+ int2 rayRigidPair;
+ rayRigidPair.x = rayIndex;
+ rayRigidPair.y = rigidAabbs[bvhRigidIndex].m_minIndices[3];
+
+ int pairIndex = atomic_inc(out_numRayRigidPairs);
+ if(pairIndex < maxRayRigidPairs) out_rayRigidPairs[pairIndex] = rayRigidPair;
+ }
+
+ if(!isLeaf) //Internal node
+ {
+ if(stackSize + 2 > B3_PLVBH_TRAVERSE_MAX_STACK_SIZE)
+ {
+ //Error
+ }
+ else
+ {
+ stack[ stackSize++ ] = internalNodeChildIndices[bvhNodeIndex].x;
+ stack[ stackSize++ ] = internalNodeChildIndices[bvhNodeIndex].y;
+ }
+ }
+ }
+ }
+}
+
+__kernel void plbvhLargeAabbAabbTest(__global b3AabbCL* smallAabbs, __global b3AabbCL* largeAabbs,
+ __global int* out_numPairs, __global int4* out_overlappingPairs,
+ int maxPairs, int numLargeAabbRigids, int numSmallAabbRigids)
+{
+ int smallAabbIndex = get_global_id(0);
+ if(smallAabbIndex >= numSmallAabbRigids) return;
+
+ b3AabbCL smallAabb = smallAabbs[smallAabbIndex];
+ for(int i = 0; i < numLargeAabbRigids; ++i)
+ {
+ b3AabbCL largeAabb = largeAabbs[i];
+ if( TestAabbAgainstAabb2(&smallAabb, &largeAabb) )
+ {
+ int4 pair;
+ pair.x = largeAabb.m_minIndices[3];
+ pair.y = smallAabb.m_minIndices[3];
+ pair.z = NEW_PAIR_MARKER;
+ pair.w = NEW_PAIR_MARKER;
+
+ int pairIndex = atomic_inc(out_numPairs);
+ if(pairIndex < maxPairs) out_overlappingPairs[pairIndex] = pair;
+ }
+ }
+}
+__kernel void plbvhLargeAabbRayTest(__global b3AabbCL* largeRigidAabbs, __global b3RayInfo* rays,
+ __global int* out_numRayRigidPairs, __global int2* out_rayRigidPairs,
+ int numLargeAabbRigids, int maxRayRigidPairs, int numRays)
+{
+ int rayIndex = get_global_id(0);
+ if(rayIndex >= numRays) return;
+
+ b3Vector3 rayFrom = rays[rayIndex].m_from;
+ b3Vector3 rayTo = rays[rayIndex].m_to;
+ b3Vector3 rayNormalizedDirection = b3Vector3_normalize(rayTo - rayFrom);
+ b3Scalar rayLength = b3Sqrt( b3Vector3_length2(rayTo - rayFrom) );
+
+ for(int i = 0; i < numLargeAabbRigids; ++i)
+ {
+ b3AabbCL rigidAabb = largeRigidAabbs[i];
+ if( rayIntersectsAabb(rayFrom, rayLength, rayNormalizedDirection, rigidAabb) )
+ {
+ int2 rayRigidPair;
+ rayRigidPair.x = rayIndex;
+ rayRigidPair.y = rigidAabb.m_minIndices[3];
+
+ int pairIndex = atomic_inc(out_numRayRigidPairs);
+ if(pairIndex < maxRayRigidPairs) out_rayRigidPairs[pairIndex] = rayRigidPair;
+ }
+ }
+}
+
+
+//Set so that it is always greater than the actual common prefixes, and never selected as a parent node.
+//If there are no duplicates, then the highest common prefix is 32 or 64, depending on the number of bits used for the z-curve.
+//Duplicate common prefixes increase the highest common prefix at most by the number of bits used to index the leaf node.
+//Since 32 bit ints are used to index leaf nodes, the max prefix is 64(32 + 32 bit z-curve) or 96(32 + 64 bit z-curve).
+#define B3_PLBVH_INVALID_COMMON_PREFIX 128
+
+#define B3_PLBVH_ROOT_NODE_MARKER -1
+
+#define b3Int64 long
+
+int computeCommonPrefixLength(b3Int64 i, b3Int64 j) { return (int)clz(i ^ j); }
+b3Int64 computeCommonPrefix(b3Int64 i, b3Int64 j)
+{
+ //This function only needs to return (i & j) in order for the algorithm to work,
+ //but it may help with debugging to mask out the lower bits.
+
+ b3Int64 commonPrefixLength = (b3Int64)computeCommonPrefixLength(i, j);
+
+ b3Int64 sharedBits = i & j;
+ b3Int64 bitmask = ((b3Int64)(~0)) << (64 - commonPrefixLength); //Set all bits after the common prefix to 0
+
+ return sharedBits & bitmask;
+}
+
+//Same as computeCommonPrefixLength(), but allows for prefixes with different lengths
+int getSharedPrefixLength(b3Int64 prefixA, int prefixLengthA, b3Int64 prefixB, int prefixLengthB)
+{
+ return b3Min( computeCommonPrefixLength(prefixA, prefixB), b3Min(prefixLengthA, prefixLengthB) );
+}
+
+__kernel void computeAdjacentPairCommonPrefix(__global SortDataCL* mortonCodesAndAabbIndices,
+ __global b3Int64* out_commonPrefixes,
+ __global int* out_commonPrefixLengths,
+ int numInternalNodes)
+{
+ int internalNodeIndex = get_global_id(0);
+ if (internalNodeIndex >= numInternalNodes) return;
+
+ //Here, (internalNodeIndex + 1) is never out of bounds since it is a leaf node index,
+ //and the number of internal nodes is always numLeafNodes - 1
+ int leftLeafIndex = internalNodeIndex;
+ int rightLeafIndex = internalNodeIndex + 1;
+
+ int leftLeafMortonCode = mortonCodesAndAabbIndices[leftLeafIndex].m_key;
+ int rightLeafMortonCode = mortonCodesAndAabbIndices[rightLeafIndex].m_key;
+
+ //Binary radix tree construction algorithm does not work if there are duplicate morton codes.
+ //Append the index of each leaf node to each morton code so that there are no duplicates.
+ //The algorithm also requires that the morton codes are sorted in ascending order; this requirement
+ //is also satisfied with this method, as (leftLeafIndex < rightLeafIndex) is always true.
+ //
+ //upsample(a, b) == ( ((b3Int64)a) << 32) | b
+ b3Int64 nonduplicateLeftMortonCode = upsample(leftLeafMortonCode, leftLeafIndex);
+ b3Int64 nonduplicateRightMortonCode = upsample(rightLeafMortonCode, rightLeafIndex);
+
+ out_commonPrefixes[internalNodeIndex] = computeCommonPrefix(nonduplicateLeftMortonCode, nonduplicateRightMortonCode);
+ out_commonPrefixLengths[internalNodeIndex] = computeCommonPrefixLength(nonduplicateLeftMortonCode, nonduplicateRightMortonCode);
+}
+
+
+__kernel void buildBinaryRadixTreeLeafNodes(__global int* commonPrefixLengths, __global int* out_leafNodeParentNodes,
+ __global int2* out_childNodes, int numLeafNodes)
+{
+ int leafNodeIndex = get_global_id(0);
+ if (leafNodeIndex >= numLeafNodes) return;
+
+ int numInternalNodes = numLeafNodes - 1;
+
+ int leftSplitIndex = leafNodeIndex - 1;
+ int rightSplitIndex = leafNodeIndex;
+
+ int leftCommonPrefix = (leftSplitIndex >= 0) ? commonPrefixLengths[leftSplitIndex] : B3_PLBVH_INVALID_COMMON_PREFIX;
+ int rightCommonPrefix = (rightSplitIndex < numInternalNodes) ? commonPrefixLengths[rightSplitIndex] : B3_PLBVH_INVALID_COMMON_PREFIX;
+
+ //Parent node is the highest adjacent common prefix that is lower than the node's common prefix
+ //Leaf nodes are considered as having the highest common prefix
+ int isLeftHigherCommonPrefix = (leftCommonPrefix > rightCommonPrefix);
+
+ //Handle cases for the edge nodes; the first and last node
+ //For leaf nodes, leftCommonPrefix and rightCommonPrefix should never both be B3_PLBVH_INVALID_COMMON_PREFIX
+ if(leftCommonPrefix == B3_PLBVH_INVALID_COMMON_PREFIX) isLeftHigherCommonPrefix = false;
+ if(rightCommonPrefix == B3_PLBVH_INVALID_COMMON_PREFIX) isLeftHigherCommonPrefix = true;
+
+ int parentNodeIndex = (isLeftHigherCommonPrefix) ? leftSplitIndex : rightSplitIndex;
+ out_leafNodeParentNodes[leafNodeIndex] = parentNodeIndex;
+
+ int isRightChild = (isLeftHigherCommonPrefix); //If the left node is the parent, then this node is its right child and vice versa
+
+ //out_childNodesAsInt[0] == int2.x == left child
+ //out_childNodesAsInt[1] == int2.y == right child
+ int isLeaf = 1;
+ __global int* out_childNodesAsInt = (__global int*)(&out_childNodes[parentNodeIndex]);
+ out_childNodesAsInt[isRightChild] = getIndexWithInternalNodeMarkerSet(isLeaf, leafNodeIndex);
+}
+
+__kernel void buildBinaryRadixTreeInternalNodes(__global b3Int64* commonPrefixes, __global int* commonPrefixLengths,
+ __global int2* out_childNodes,
+ __global int* out_internalNodeParentNodes, __global int* out_rootNodeIndex,
+ int numInternalNodes)
+{
+ int internalNodeIndex = get_group_id(0) * get_local_size(0) + get_local_id(0);
+ if(internalNodeIndex >= numInternalNodes) return;
+
+ b3Int64 nodePrefix = commonPrefixes[internalNodeIndex];
+ int nodePrefixLength = commonPrefixLengths[internalNodeIndex];
+
+//#define USE_LINEAR_SEARCH
+#ifdef USE_LINEAR_SEARCH
+ int leftIndex = -1;
+ int rightIndex = -1;
+
+ //Find nearest element to left with a lower common prefix
+ for(int i = internalNodeIndex - 1; i >= 0; --i)
+ {
+ int nodeLeftSharedPrefixLength = getSharedPrefixLength(nodePrefix, nodePrefixLength, commonPrefixes[i], commonPrefixLengths[i]);
+ if(nodeLeftSharedPrefixLength < nodePrefixLength)
+ {
+ leftIndex = i;
+ break;
+ }
+ }
+
+ //Find nearest element to right with a lower common prefix
+ for(int i = internalNodeIndex + 1; i < numInternalNodes; ++i)
+ {
+ int nodeRightSharedPrefixLength = getSharedPrefixLength(nodePrefix, nodePrefixLength, commonPrefixes[i], commonPrefixLengths[i]);
+ if(nodeRightSharedPrefixLength < nodePrefixLength)
+ {
+ rightIndex = i;
+ break;
+ }
+ }
+
+#else //Use binary search
+
+ //Find nearest element to left with a lower common prefix
+ int leftIndex = -1;
+ {
+ int lower = 0;
+ int upper = internalNodeIndex - 1;
+
+ while(lower <= upper)
+ {
+ int mid = (lower + upper) / 2;
+ b3Int64 midPrefix = commonPrefixes[mid];
+ int midPrefixLength = commonPrefixLengths[mid];
+
+ int nodeMidSharedPrefixLength = getSharedPrefixLength(nodePrefix, nodePrefixLength, midPrefix, midPrefixLength);
+ if(nodeMidSharedPrefixLength < nodePrefixLength)
+ {
+ int right = mid + 1;
+ if(right < internalNodeIndex)
+ {
+ b3Int64 rightPrefix = commonPrefixes[right];
+ int rightPrefixLength = commonPrefixLengths[right];
+
+ int nodeRightSharedPrefixLength = getSharedPrefixLength(nodePrefix, nodePrefixLength, rightPrefix, rightPrefixLength);
+ if(nodeRightSharedPrefixLength < nodePrefixLength)
+ {
+ lower = right;
+ leftIndex = right;
+ }
+ else
+ {
+ leftIndex = mid;
+ break;
+ }
+ }
+ else
+ {
+ leftIndex = mid;
+ break;
+ }
+ }
+ else upper = mid - 1;
+ }
+ }
+
+ //Find nearest element to right with a lower common prefix
+ int rightIndex = -1;
+ {
+ int lower = internalNodeIndex + 1;
+ int upper = numInternalNodes - 1;
+
+ while(lower <= upper)
+ {
+ int mid = (lower + upper) / 2;
+ b3Int64 midPrefix = commonPrefixes[mid];
+ int midPrefixLength = commonPrefixLengths[mid];
+
+ int nodeMidSharedPrefixLength = getSharedPrefixLength(nodePrefix, nodePrefixLength, midPrefix, midPrefixLength);
+ if(nodeMidSharedPrefixLength < nodePrefixLength)
+ {
+ int left = mid - 1;
+ if(left > internalNodeIndex)
+ {
+ b3Int64 leftPrefix = commonPrefixes[left];
+ int leftPrefixLength = commonPrefixLengths[left];
+
+ int nodeLeftSharedPrefixLength = getSharedPrefixLength(nodePrefix, nodePrefixLength, leftPrefix, leftPrefixLength);
+ if(nodeLeftSharedPrefixLength < nodePrefixLength)
+ {
+ upper = left;
+ rightIndex = left;
+ }
+ else
+ {
+ rightIndex = mid;
+ break;
+ }
+ }
+ else
+ {
+ rightIndex = mid;
+ break;
+ }
+ }
+ else lower = mid + 1;
+ }
+ }
+#endif
+
+ //Select parent
+ {
+ int leftPrefixLength = (leftIndex != -1) ? commonPrefixLengths[leftIndex] : B3_PLBVH_INVALID_COMMON_PREFIX;
+ int rightPrefixLength = (rightIndex != -1) ? commonPrefixLengths[rightIndex] : B3_PLBVH_INVALID_COMMON_PREFIX;
+
+ int isLeftHigherPrefixLength = (leftPrefixLength > rightPrefixLength);
+
+ if(leftPrefixLength == B3_PLBVH_INVALID_COMMON_PREFIX) isLeftHigherPrefixLength = false;
+ else if(rightPrefixLength == B3_PLBVH_INVALID_COMMON_PREFIX) isLeftHigherPrefixLength = true;
+
+ int parentNodeIndex = (isLeftHigherPrefixLength) ? leftIndex : rightIndex;
+
+ int isRootNode = (leftIndex == -1 && rightIndex == -1);
+ out_internalNodeParentNodes[internalNodeIndex] = (!isRootNode) ? parentNodeIndex : B3_PLBVH_ROOT_NODE_MARKER;
+
+ int isLeaf = 0;
+ if(!isRootNode)
+ {
+ int isRightChild = (isLeftHigherPrefixLength); //If the left node is the parent, then this node is its right child and vice versa
+
+ //out_childNodesAsInt[0] == int2.x == left child
+ //out_childNodesAsInt[1] == int2.y == right child
+ __global int* out_childNodesAsInt = (__global int*)(&out_childNodes[parentNodeIndex]);
+ out_childNodesAsInt[isRightChild] = getIndexWithInternalNodeMarkerSet(isLeaf, internalNodeIndex);
+ }
+ else *out_rootNodeIndex = getIndexWithInternalNodeMarkerSet(isLeaf, internalNodeIndex);
+ }
+}
+
+__kernel void findDistanceFromRoot(__global int* rootNodeIndex, __global int* internalNodeParentNodes,
+ __global int* out_maxDistanceFromRoot, __global int* out_distanceFromRoot, int numInternalNodes)
+{
+ if( get_global_id(0) == 0 ) atomic_xchg(out_maxDistanceFromRoot, 0);
+
+ int internalNodeIndex = get_global_id(0);
+ if(internalNodeIndex >= numInternalNodes) return;
+
+ //
+ int distanceFromRoot = 0;
+ {
+ int parentIndex = internalNodeParentNodes[internalNodeIndex];
+ while(parentIndex != B3_PLBVH_ROOT_NODE_MARKER)
+ {
+ parentIndex = internalNodeParentNodes[parentIndex];
+ ++distanceFromRoot;
+ }
+ }
+ out_distanceFromRoot[internalNodeIndex] = distanceFromRoot;
+
+ //
+ __local int localMaxDistanceFromRoot;
+ if( get_local_id(0) == 0 ) localMaxDistanceFromRoot = 0;
+ barrier(CLK_LOCAL_MEM_FENCE);
+
+ atomic_max(&localMaxDistanceFromRoot, distanceFromRoot);
+ barrier(CLK_LOCAL_MEM_FENCE);
+
+ if( get_local_id(0) == 0 ) atomic_max(out_maxDistanceFromRoot, localMaxDistanceFromRoot);
+}
+
+__kernel void buildBinaryRadixTreeAabbsRecursive(__global int* distanceFromRoot, __global SortDataCL* mortonCodesAndAabbIndices,
+ __global int2* childNodes,
+ __global b3AabbCL* leafNodeAabbs, __global b3AabbCL* internalNodeAabbs,
+ int maxDistanceFromRoot, int processedDistance, int numInternalNodes)
+{
+ int internalNodeIndex = get_global_id(0);
+ if(internalNodeIndex >= numInternalNodes) return;
+
+ int distance = distanceFromRoot[internalNodeIndex];
+
+ if(distance == processedDistance)
+ {
+ int leftChildIndex = childNodes[internalNodeIndex].x;
+ int rightChildIndex = childNodes[internalNodeIndex].y;
+
+ int isLeftChildLeaf = isLeafNode(leftChildIndex);
+ int isRightChildLeaf = isLeafNode(rightChildIndex);
+
+ leftChildIndex = getIndexWithInternalNodeMarkerRemoved(leftChildIndex);
+ rightChildIndex = getIndexWithInternalNodeMarkerRemoved(rightChildIndex);
+
+ //leftRigidIndex/rightRigidIndex is not used if internal node
+ int leftRigidIndex = (isLeftChildLeaf) ? mortonCodesAndAabbIndices[leftChildIndex].m_value : -1;
+ int rightRigidIndex = (isRightChildLeaf) ? mortonCodesAndAabbIndices[rightChildIndex].m_value : -1;
+
+ b3AabbCL leftChildAabb = (isLeftChildLeaf) ? leafNodeAabbs[leftRigidIndex] : internalNodeAabbs[leftChildIndex];
+ b3AabbCL rightChildAabb = (isRightChildLeaf) ? leafNodeAabbs[rightRigidIndex] : internalNodeAabbs[rightChildIndex];
+
+ b3AabbCL mergedAabb;
+ mergedAabb.m_min = b3Min(leftChildAabb.m_min, rightChildAabb.m_min);
+ mergedAabb.m_max = b3Max(leftChildAabb.m_max, rightChildAabb.m_max);
+ internalNodeAabbs[internalNodeIndex] = mergedAabb;
+ }
+}
+
+__kernel void findLeafIndexRanges(__global int2* internalNodeChildNodes, __global int2* out_leafIndexRanges, int numInternalNodes)
+{
+ int internalNodeIndex = get_global_id(0);
+ if(internalNodeIndex >= numInternalNodes) return;
+
+ int numLeafNodes = numInternalNodes + 1;
+
+ int2 childNodes = internalNodeChildNodes[internalNodeIndex];
+
+ int2 leafIndexRange; //x == min leaf index, y == max leaf index
+
+ //Find lowest leaf index covered by this internal node
+ {
+ int lowestIndex = childNodes.x; //childNodes.x == Left child
+ while( !isLeafNode(lowestIndex) ) lowestIndex = internalNodeChildNodes[ getIndexWithInternalNodeMarkerRemoved(lowestIndex) ].x;
+ leafIndexRange.x = lowestIndex;
+ }
+
+ //Find highest leaf index covered by this internal node
+ {
+ int highestIndex = childNodes.y; //childNodes.y == Right child
+ while( !isLeafNode(highestIndex) ) highestIndex = internalNodeChildNodes[ getIndexWithInternalNodeMarkerRemoved(highestIndex) ].y;
+ leafIndexRange.y = highestIndex;
+ }
+
+ //
+ out_leafIndexRanges[internalNodeIndex] = leafIndexRange;
+}