#include "bvh.hpp" // bvh::bvh(std::vector& spheres, std::vector& packed_nodes) // :spheres(spheres) { // packed_nodes.resize(2 * spheres.size() - 1); // temp_nodes = std::vector(2 * spheres.size() - 1); // leafs = std::vector(spheres.size()); // for (uint32_t id = 0; id < spheres.size(); id++) { // leafs[id].bounding_box = aabb(spheres[id].center, spheres[id].radius); // leafs[id].primitive_id = id; // } // temp_nodes[0] = temp_node(); // temp_nodes[0].bounding_box = compute_bounds(0, spheres.size()); // subdivide(0, 0, spheres.size()); // set_depth_first_order(); // for (uint32_t id = 0; id < temp_nodes.size(); id++) { // auto old_node = temp_nodes[id]; // auto &node = packed_nodes[old_node.df_id]; // node.primitive_id = old_node.primitive_id; // node.min[0] = old_node.bounding_box.minimum.v[0]; // node.min[1] = old_node.bounding_box.minimum.v[1]; // node.min[2] = old_node.bounding_box.minimum.v[2]; // node.max[0] = old_node.bounding_box.maximum.v[0]; // node.max[1] = old_node.bounding_box.maximum.v[1]; // node.max[2] = old_node.bounding_box.maximum.v[2]; // if (old_node.next_id != -1) { // node.next_id = temp_nodes[old_node.next_id].df_id; // } // } // // exporter(); // } bvh::bvh(std::vector& triangles, std::vector& packed_nodes) :triangles(triangles) { BEGIN_MARKER(GENERATE_BVH); assert(!triangles.empty()); packed_nodes.resize(2 * triangles.size() - 1); temp_nodes = std::vector(2 * triangles.size() - 1); leafs = std::vector(triangles.size()); for (uint32_t id { 0 }; id < triangles.size(); id++) { leafs[id].bounding_box = aabb(triangles[id]); leafs[id].primitive_id = (int32_t)id; } temp_nodes[0] = temp_node(); temp_nodes[0].bounding_box = compute_bounds(0, static_cast(triangles.size())); subdivide(0, 0, static_cast(triangles.size())); set_depth_first_order(); // Pack nodes for (auto& old_node : temp_nodes) { auto &node = packed_nodes[old_node.df_id]; node.primitive_id = old_node.primitive_id; node.min[0] = old_node.bounding_box.minimum.get<0>(); node.min[1] = old_node.bounding_box.minimum.get<1>(); node.min[2] = old_node.bounding_box.minimum.get<2>(); node.max[0] = old_node.bounding_box.maximum.get<0>(); node.max[1] = old_node.bounding_box.maximum.get<1>(); node.max[2] = old_node.bounding_box.maximum.get<2>(); if (old_node.next_id != -1) { node.next_id = temp_nodes[old_node.next_id].df_id; } } END_MARKER(GENERATE_BVH); } //------------------------- // BVH exporter for graphviz //------------------------- void bvh::exporter() { printf("digraph bvh {\n"); traverse_depth_first(temp_nodes, 0); // traverse_depth_first_ordered(-1, 0); printf("}\n"); } bool bvh::traverse_depth_first(std::vector& nodes, int32_t id) { if (id < 0) { return false; } if (traverse_depth_first(nodes, nodes[id].left_id)) { printf("%d -> %d;\n", id, nodes[id].left_id); printf("%d -> %d;\n", id, nodes[id].left_id + 1); traverse_depth_first(nodes, nodes[id].left_id + 1); } return true; } int32_t bvh::traverse_depth_first_ordered(std::vector& nodes, int32_t parent_id, int32_t id) { if (id == -1) return -1; if (nodes[id].primitive_id == -1) { int32_t left = id + 1; int32_t next_id; printf("\t %d -> %d;\n", parent_id, id); next_id = traverse_depth_first_ordered(nodes, id, left); if (next_id != -1) { return traverse_depth_first_ordered(nodes, id, next_id); } } else if (nodes[id].next_id != -1) { printf("\t %d -> %d;\n", parent_id, id); return nodes[id].next_id; } else { printf("\t %d -> %d;\n", parent_id, id); } return -1; } aabb bvh::compute_bounds(uint32_t begin, uint32_t end) { aabb global_box; for (uint32_t id = begin; id < end; id++) { global_box.union_with(leafs[id].bounding_box); } return global_box; } void bvh::subdivide(uint32_t parent_id, uint32_t begin, uint32_t end) { assert(end > begin); const uint32_t count = end - begin; if (count == 1) { temp_nodes[parent_id] = std::move(leafs[begin]); return; } const auto left_id = ++next_node_id; const auto right_id = ++next_node_id; temp_nodes[parent_id].left_id = (int32_t)left_id; if (count == 2) { temp_nodes[left_id] = std::move(leafs[begin]); temp_nodes[right_id] = std::move(leafs[begin + 1]); return; } const auto& parent_bb = temp_nodes[parent_id].bounding_box; int32_t split_axis = parent_bb.maximum_axis(); if (count <= 4) { // Subdivide the node by splitting the set in two equal parts std::sort(leafs.begin() + begin, leafs.begin() + end, // [&](const bvh_node& a, const bvh_node& b) { // return spheres[a.primitive_id].center[split_axis] < spheres[b.primitive_id].center[split_axis]; // } [&](const bvh_node& a, const bvh_node& b) { return triangles[a.primitive_id].center[split_axis] < triangles[b.primitive_id].center[split_axis]; } ); temp_nodes[left_id].bounding_box = compute_bounds(begin, begin + (count / 2)); temp_nodes[right_id].bounding_box = compute_bounds(begin + (count / 2), end); subdivide(left_id, begin, begin + (count / 2)); subdivide(right_id, begin + (count / 2), end); return; } // Subdivide based on SAH struct Bucket { uint32_t count = 0; aabb bb; }; Bucket buckets[buckets_count]; // Split the set in N spatial buckets // Simplify the optimal split axis search to just an axis between each bucket aabb centroid_bounds; for (size_t i = begin; i < end; i++) { auto& primitive = triangles[leafs[i].primitive_id]; centroid_bounds.union_with(primitive.center); // auto& primitive = spheres[leafs[i].primitive_id]; } float split_axis_size = centroid_bounds.maximum[split_axis] - centroid_bounds.minimum[split_axis]; for (size_t i = begin; i < end; i++) { auto& primitive = triangles[leafs[i].primitive_id]; // auto& primitive = spheres[leafs[i].primitive_id]; auto normalized_offset = (primitive.center[split_axis] - centroid_bounds.minimum[split_axis]) / split_axis_size; uint32_t bucket_index = static_cast(normalized_offset * buckets_count); if (bucket_index == buckets_count) { bucket_index -= 1; } buckets[bucket_index].count++; buckets[bucket_index].bb.union_with(leafs[i].bounding_box); } // Compute each potential split axis cost float buckets_cost[buckets_count - 1] { 0.f }; for (size_t bucket_index = 0; bucket_index < buckets_count - 1; bucket_index++) { aabb right_side_bb, left_side_bb; float right_side_count = 0, left_side_count = 0; for (size_t i = 0; i <= bucket_index; i++) { left_side_bb.union_with(buckets[i].bb); left_side_count += (float)buckets[i].count; } for (size_t i = bucket_index + 1; i < buckets_count; i++) { right_side_bb.union_with(buckets[i].bb); right_side_count += (float)buckets[i].count; } float left = left_side_count * left_side_bb.surface_area(); float right = right_side_count * right_side_bb.surface_area(); buckets_cost[bucket_index] = 0.125f + (left + right) / parent_bb.surface_area(); } float min_cost = buckets_cost[0]; uint32_t min_cost_bucket = 0; for (uint32_t bucket_index = 1; bucket_index < buckets_count - 1; bucket_index++) { if (buckets_cost[bucket_index] < min_cost) { min_cost = buckets_cost[bucket_index]; min_cost_bucket = bucket_index; } } uint32_t middle_primitive_index = buckets[0].count; for (size_t bucket_index = 1; bucket_index <= min_cost_bucket; bucket_index++) { middle_primitive_index += buckets[bucket_index].count; } temp_nodes[left_id].bounding_box = compute_bounds(begin, begin + middle_primitive_index); temp_nodes[right_id].bounding_box = compute_bounds(begin + middle_primitive_index, end); subdivide(left_id, begin, begin + middle_primitive_index); subdivide(right_id, begin + middle_primitive_index, end); } void bvh::set_depth_first_order() { int32_t df_index = 0; depth_first_order(0, -1, df_index); } void bvh::depth_first_order(int32_t id, int32_t next_id, int32_t &new_id) { auto &node = temp_nodes[id]; node.next_id = next_id; node.df_id = new_id++; if (node.left_id > 0) { depth_first_order(node.left_id, node.left_id + 1, new_id); depth_first_order(node.left_id + 1, next_id, new_id); } }