// These octree flags must be in sync with GpuOctreeFlag in VoxelTraversal.js #define OCTREE_FLAG_INTERNAL 0 #define OCTREE_FLAG_LEAF 1 #define OCTREE_FLAG_PACKED_LEAF_FROM_PARENT 2 #define OCTREE_MAX_LEVELS 32 // Harcoded value because GLSL doesn't like variable length loops uniform sampler2D u_octreeInternalNodeTexture; uniform vec2 u_octreeInternalNodeTexelSizeUv; uniform int u_octreeInternalNodeTilesPerRow; #if (SAMPLE_COUNT > 1) uniform sampler2D u_octreeLeafNodeTexture; uniform vec2 u_octreeLeafNodeTexelSizeUv; uniform int u_octreeLeafNodeTilesPerRow; #endif struct OctreeNodeData { int data; int flag; }; struct TraversalData { ivec4 octreeCoords; int parentOctreeIndex; }; struct SampleData { int megatextureIndex; ivec4 tileCoords; vec3 tileUv; #if (SAMPLE_COUNT > 1) float weight; #endif }; // Integer mod: For WebGL1 only int intMod(in int a, in int b) { return a - (b * (a / b)); } int normU8_toInt(in float value) { return int(value * 255.0); } int normU8x2_toInt(in vec2 value) { return int(value.x * 255.0) + 256 * int(value.y * 255.0); } float normU8x2_toFloat(in vec2 value) { return float(normU8x2_toInt(value)) / 65535.0; } OctreeNodeData getOctreeNodeData(in vec2 octreeUv) { vec4 texData = texture(u_octreeInternalNodeTexture, octreeUv); OctreeNodeData data; data.data = normU8x2_toInt(texData.xy); data.flag = normU8x2_toInt(texData.zw); return data; } OctreeNodeData getOctreeChildData(in int parentOctreeIndex, in ivec3 childCoord) { int childIndex = childCoord.z * 4 + childCoord.y * 2 + childCoord.x; int octreeCoordX = intMod(parentOctreeIndex, u_octreeInternalNodeTilesPerRow) * 9 + 1 + childIndex; int octreeCoordY = parentOctreeIndex / u_octreeInternalNodeTilesPerRow; vec2 octreeUv = u_octreeInternalNodeTexelSizeUv * vec2(float(octreeCoordX) + 0.5, float(octreeCoordY) + 0.5); return getOctreeNodeData(octreeUv); } int getOctreeParentIndex(in int octreeIndex) { int octreeCoordX = intMod(octreeIndex, u_octreeInternalNodeTilesPerRow) * 9; int octreeCoordY = octreeIndex / u_octreeInternalNodeTilesPerRow; vec2 octreeUv = u_octreeInternalNodeTexelSizeUv * vec2(float(octreeCoordX) + 0.5, float(octreeCoordY) + 0.5); vec4 parentData = texture(u_octreeInternalNodeTexture, octreeUv); int parentOctreeIndex = normU8x2_toInt(parentData.xy); return parentOctreeIndex; } /** * Convert a position in the uv-space of the tileset bounding shape * into the uv-space of a tile within the tileset */ vec3 getTileUv(in vec3 shapePosition, in ivec4 octreeCoords) { // PERFORMANCE_IDEA: use bit-shifting (only in WebGL2) float dimAtLevel = pow(2.0, float(octreeCoords.w)); return shapePosition * dimAtLevel - vec3(octreeCoords.xyz); } void getOctreeLeafSampleData(in OctreeNodeData data, in ivec4 octreeCoords, out SampleData sampleData) { sampleData.megatextureIndex = data.data; sampleData.tileCoords = (data.flag == OCTREE_FLAG_PACKED_LEAF_FROM_PARENT) ? ivec4(octreeCoords.xyz / 2, octreeCoords.w - 1) : octreeCoords; } #if (SAMPLE_COUNT > 1) void getOctreeLeafSampleDatas(in OctreeNodeData data, in ivec4 octreeCoords, out SampleData sampleDatas[SAMPLE_COUNT]) { int leafIndex = data.data; int leafNodeTexelCount = 2; // Adding 0.5 moves to the center of the texel float leafCoordXStart = float(intMod(leafIndex, u_octreeLeafNodeTilesPerRow) * leafNodeTexelCount) + 0.5; float leafCoordY = float(leafIndex / u_octreeLeafNodeTilesPerRow) + 0.5; // Get an interpolation weight and a flag to determine whether to read the parent texture vec2 leafUv0 = u_octreeLeafNodeTexelSizeUv * vec2(leafCoordXStart + 0.0, leafCoordY); vec4 leafData0 = texture(u_octreeLeafNodeTexture, leafUv0); float lerp = normU8x2_toFloat(leafData0.xy); sampleDatas[0].weight = 1.0 - lerp; sampleDatas[1].weight = lerp; // TODO: this looks wrong? Should be comparing to OCTREE_FLAG_PACKED_LEAF_FROM_PARENT sampleDatas[0].tileCoords = (normU8_toInt(leafData0.z) == 1) ? ivec4(octreeCoords.xyz / 2, octreeCoords.w - 1) : octreeCoords; sampleDatas[1].tileCoords = (normU8_toInt(leafData0.w) == 1) ? ivec4(octreeCoords.xyz / 2, octreeCoords.w - 1) : octreeCoords; // Get megatexture indices for both samples vec2 leafUv1 = u_octreeLeafNodeTexelSizeUv * vec2(leafCoordXStart + 1.0, leafCoordY); vec4 leafData1 = texture(u_octreeLeafNodeTexture, leafUv1); sampleDatas[0].megatextureIndex = normU8x2_toInt(leafData1.xy); sampleDatas[1].megatextureIndex = normU8x2_toInt(leafData1.zw); } #endif OctreeNodeData traverseOctreeDownwards(in vec3 shapePosition, inout TraversalData traversalData) { float sizeAtLevel = 1.0 / pow(2.0, float(traversalData.octreeCoords.w)); vec3 start = vec3(traversalData.octreeCoords.xyz) * sizeAtLevel; vec3 end = start + vec3(sizeAtLevel); OctreeNodeData childData; for (int i = 0; i < OCTREE_MAX_LEVELS; ++i) { // Find out which octree child contains the position // 0 if before center, 1 if after vec3 center = 0.5 * (start + end); vec3 childCoord = step(center, shapePosition); // Get octree coords for the next level down ivec4 octreeCoords = traversalData.octreeCoords; traversalData.octreeCoords = ivec4(octreeCoords.xyz * 2 + ivec3(childCoord), octreeCoords.w + 1); childData = getOctreeChildData(traversalData.parentOctreeIndex, ivec3(childCoord)); if (childData.flag != OCTREE_FLAG_INTERNAL) { // leaf tile - stop traversing break; } // interior tile - keep going deeper start = mix(start, center, childCoord); end = mix(center, end, childCoord); traversalData.parentOctreeIndex = childData.data; } return childData; } /** * Transform a given position to an octree tile coordinate and a position within that tile, * and find the corresponding megatexture index and texture coordinates */ void traverseOctreeFromBeginning(in vec3 shapePosition, out TraversalData traversalData, out SampleData sampleDatas[SAMPLE_COUNT]) { traversalData.octreeCoords = ivec4(0); traversalData.parentOctreeIndex = 0; OctreeNodeData nodeData = getOctreeNodeData(vec2(0.0)); if (nodeData.flag != OCTREE_FLAG_LEAF) { nodeData = traverseOctreeDownwards(shapePosition, traversalData); } #if (SAMPLE_COUNT == 1) getOctreeLeafSampleData(nodeData, traversalData.octreeCoords, sampleDatas[0]); sampleDatas[0].tileUv = getTileUv(shapePosition, sampleDatas[0].tileCoords); #else getOctreeLeafSampleDatas(nodeData, traversalData.octreeCoords, sampleDatas); sampleDatas[0].tileUv = getTileUv(shapePosition, sampleDatas[0].tileCoords); sampleDatas[1].tileUv = getTileUv(shapePosition, sampleDatas[1].tileCoords); #endif } bool inRange(in vec3 v, in vec3 minVal, in vec3 maxVal) { return clamp(v, minVal, maxVal) == v; } bool insideTile(in vec3 shapePosition, in ivec4 octreeCoords) { vec3 tileUv = getTileUv(shapePosition, octreeCoords); bool inside = inRange(tileUv, vec3(0.0), vec3(1.0)); // Assume (!) the position is always inside the root tile. return inside || octreeCoords.w == 0; } void traverseOctreeFromExisting(in vec3 shapePosition, inout TraversalData traversalData, inout SampleData sampleDatas[SAMPLE_COUNT]) { if (insideTile(shapePosition, traversalData.octreeCoords)) { for (int i = 0; i < SAMPLE_COUNT; i++) { sampleDatas[0].tileUv = getTileUv(shapePosition, sampleDatas[0].tileCoords); } return; } // Go up tree until we find a parent tile containing shapePosition for (int i = 0; i < OCTREE_MAX_LEVELS; ++i) { traversalData.octreeCoords.xyz /= 2; traversalData.octreeCoords.w -= 1; if (insideTile(shapePosition, traversalData.octreeCoords)) { break; } traversalData.parentOctreeIndex = getOctreeParentIndex(traversalData.parentOctreeIndex); } // Go down tree OctreeNodeData nodeData = traverseOctreeDownwards(shapePosition, traversalData); #if (SAMPLE_COUNT == 1) getOctreeLeafSampleData(nodeData, traversalData.octreeCoords, sampleDatas[0]); sampleDatas[0].tileUv = getTileUv(shapePosition, sampleDatas[0].tileCoords); #else getOctreeLeafSampleDatas(nodeData, traversalData.octreeCoords, sampleDatas); sampleDatas[0].tileUv = getTileUv(shapePosition, sampleDatas[0].tileCoords); sampleDatas[1].tileUv = getTileUv(shapePosition, sampleDatas[1].tileCoords); #endif }