extract explicit mesh with topology information from implicit surfaces with boolean operations, and do surface/volume integrating on them.
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#include <cassert>
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#include "internal_api.hpp"
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#include "globals.hpp"
#include "aabb.hpp"
#include "node_operation.hpp"
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/* internal global variables for blobtree */
std::vector<blobtree_t, tbb::tbb_allocator<blobtree_t>> structures{};
std::vector<aabb_t, tbb::tbb_allocator<aabb_t>> aabbs{};
std::vector<primitive_node_t, tbb::tbb_allocator<primitive_node_t>> primitives{};
std::stack<uint32_t, std::deque<uint32_t, tbb::tbb_allocator<uint32_t>>> free_structure_list{};
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/* =============================================================================================
* basic functionalities
* ============================================================================================= */
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BPE_API std::vector<primitive_node_t, tbb::tbb_allocator<primitive_node_t>>& get_primitives() noexcept { return primitives; }
void shrink_primitives() { primitives.shrink_to_fit(); }
virtual_node_t copy(virtual_node_t old_node, virtual_node_t new_node)
{
assert(old_node.main_index != new_node.main_index);
// Copy a tree and its subtrees to a temporary tree
auto temp = structures[old_node.main_index];
// Update all index
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const auto size = static_cast<uint32_t>(structures[new_node.main_index].nodes.size());
for (uint32_t i = 0; i < temp.nodes.size(); i++) {
if (!node_is_parent_null(temp.nodes[i])) node_fetch_parent_index(temp.nodes[i]) += size;
if (!node_is_left_child_null(temp.nodes[i])) node_fetch_left_child_index(temp.nodes[i]) += size;
if (!node_is_right_child_null(temp.nodes[i])) node_fetch_right_child_index(temp.nodes[i]) += size;
}
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for (uint32_t i = 0; i < temp.leaf_index.size(); i++) { temp.leaf_index[i] += size; }
// Copy the updated index tree to the array at the new location
structures[new_node.main_index].nodes.insert(structures[new_node.main_index].nodes.end(),
temp.nodes.begin(),
temp.nodes.end());
structures[new_node.main_index].leaf_index.insert(structures[new_node.main_index].leaf_index.end(),
temp.leaf_index.begin(),
temp.leaf_index.end());
return virtual_node_t{new_node.main_index, old_node.inner_index + size};
}
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void offset_primitive(primitive_node_t& node, const Eigen::Vector3d& offset)
{
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auto offset_point = [](raw_vector3d_t& point, const Eigen::Vector3d& offset) {
Eigen::Map<Eigen::Vector3d> point_map(&point.x);
point_map += offset;
};
auto type = node.type;
switch (type) {
case PRIMITIVE_TYPE_CONSTANT: {
break;
}
case PRIMITIVE_TYPE_PLANE: {
auto desc = static_cast<plane_descriptor_t*>(node.desc);
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offset_point(desc->point, offset);
break;
}
case PRIMITIVE_TYPE_SPHERE: {
auto desc = static_cast<sphere_descriptor_t*>(node.desc);
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offset_point(desc->center, offset);
break;
}
case PRIMITIVE_TYPE_CYLINDER: {
auto desc = static_cast<cylinder_descriptor_t*>(node.desc);
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offset_point(desc->bottom_origion, offset);
break;
}
case PRIMITIVE_TYPE_CONE: {
auto desc = static_cast<cone_descriptor_t*>(node.desc);
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offset_point(desc->top_point, offset);
offset_point(desc->bottom_point, offset);
break;
}
case PRIMITIVE_TYPE_BOX: {
auto desc = static_cast<box_descriptor_t*>(node.desc);
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offset_point(desc->center, offset);
break;
}
case PRIMITIVE_TYPE_MESH: {
auto desc = static_cast<mesh_descriptor_t*>(node.desc);
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for (int i = 0; i < desc->point_number; i++) { offset_point(desc->points[i], offset); }
break;
}
case PRIMITIVE_TYPE_EXTRUDE: {
auto desc = static_cast<extrude_descriptor_t*>(node.desc);
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for (int i = 0; i < desc->edges_number; i++) { offset_point(desc->points[i], offset); }
break;
}
default: {
break;
}
}
}
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BPE_API void free_sub_blobtree(uint32_t index) noexcept
{
// 这里尽量打标记,延迟修改和删除
free_structure_list.push(index);
}
bool upward_propagation(blobtree_t& tree, const int leaf_node_index, const int root_index)
{
int now_index = leaf_node_index;
now_index = node_fetch_parent_index(tree.nodes[now_index]);
while (true) {
auto& node = tree.nodes[now_index];
auto& left_child = tree.nodes[node_fetch_left_child_index(node)];
auto& right_child = tree.nodes[node_fetch_right_child_index(node)];
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auto node_in_out_flag = node_fetch_in_out(node);
eNodeLocation left_child_in_out_flag = node_fetch_in_out(left_child);
eNodeLocation right_child_in_out_flag = node_fetch_in_out(right_child);
if (node_in_out_flag != eNodeLocation::unset) { return false; }
switch (node_fetch_operation(node)) {
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case eNodeOperation::unionOp: {
if (left_child_in_out_flag == eNodeLocation::in || right_child_in_out_flag == eNodeLocation::in) {
node_in_out_flag = eNodeLocation::in;
} else if (left_child_in_out_flag == eNodeLocation::out && right_child_in_out_flag == eNodeLocation::out) {
node_in_out_flag = eNodeLocation::out;
} else {
return false;
}
break;
}
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case eNodeOperation::intersectionOp: {
if (left_child_in_out_flag == eNodeLocation::in && right_child_in_out_flag == eNodeLocation::in) {
node_in_out_flag = eNodeLocation::in;
} else if (left_child_in_out_flag == eNodeLocation::out || right_child_in_out_flag == eNodeLocation::out) {
node_in_out_flag = eNodeLocation::out;
} else {
return false;
}
break;
}
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case eNodeOperation::differenceOp: {
if (left_child_in_out_flag == eNodeLocation::in && right_child_in_out_flag == eNodeLocation::out) {
node_in_out_flag = eNodeLocation::in;
}
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if (left_child_in_out_flag == eNodeLocation::out || right_child_in_out_flag == eNodeLocation::in) {
node_in_out_flag = eNodeLocation::out;
} else {
return false;
}
break;
}
default: {
return false;
break;
}
}
if (now_index == root_index) { return true; }
now_index = node_fetch_parent_index(node);
}
}
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eNodeLocation evaluate(const virtual_node_t& node, const raw_vector3d_t& point)
{
auto temp = structures[node.main_index];
auto& leaf_index = temp.leaf_index;
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for (size_t i = 0; i < leaf_index.size(); i++) {
auto sdf = evaluate(primitives[leaf_index[i]], point);
auto leaf_node_in_out = node_fetch_in_out(temp.nodes[leaf_index[i]]);
if (sdf <= 0.0)
leaf_node_in_out = eNodeLocation::in;
else
leaf_node_in_out = eNodeLocation::out;
if (upward_propagation(temp, leaf_index[i], node.inner_index)) { break; }
}
return node_fetch_in_out(temp.nodes[node.inner_index]);
}
aabb_t get_aabb(const virtual_node_t& node)
{
auto& leaf_index = structures[node.main_index].leaf_index;
aabb_t result{};
for (auto& index : leaf_index) {
auto& type = primitives[index].type;
if (type != PRIMITIVE_TYPE_CONSTANT && type != PRIMITIVE_TYPE_PLANE) { result.extend(aabbs[index]); }
}
return result;
}
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// uint32_t get_closest_common_parent(const std::vector<bool>& mask, const int main_index)
// {
// // Copy tree structure
// auto tree = structures[main_index];
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// // Count how many geometries are queried
// int count = 0;
// for (int i = 0; i < mask.size(); i++) {
// if (mask[i] == 1) { count++; }
// }
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// uint32_t result = 0xFFFFFFFFu;
// for (uint32_t i = 0; i < mask.size(); i++) {
// if (mask[i] == 0) { continue; }
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// for (auto& iter : tree.leaf_index) {
// // Find the location of the current query geometry in the tree
// if (node_fetch_primitive_index(tree.nodes[iter]) != i) { continue; }
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// // Traverse from bottom to top and increase the count of all nodes by 1
// uint32_t now = iter;
// while (true) {
// now = node_fetch_parent_index(tree.nodes[now]);
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// // now is root
// if (now == 0xFFFFFFFFu) { break; }
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// // Use the primitive index of the internal node to count
// if (node_fetch_primitive_index(tree.nodes[now]) == 0xFFFFFFu) {
// set_primitive_index(tree.nodes[now], 1);
// } else {
// set_primitive_index(tree.nodes[now], node_fetch_primitive_index(tree.nodes[now]) + 1);
// }
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// if (node_fetch_primitive_index(tree.nodes[now]) == count) {
// result = now;
// break;
// }
// }
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// break;
// }
// }
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// return result;
// }
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/* =============================================================================================
* tree node operations
* ============================================================================================= */
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BPE_API bool virtual_node_set_parent(virtual_node_t* node, virtual_node_t* parent)
{
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auto& node_in_tree = structures[node->main_index].nodes[node->inner_index];
// The node's parent is not empty
if (!node_is_parent_null(node_in_tree)) { return false; }
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auto& parent_in_tree = structures[parent->main_index].nodes[parent->inner_index];
auto parent_inner_index = parent->inner_index;
// not on the same tree
if (node->main_index != parent->main_index) {
auto new_parent = copy(*parent, *node);
parent_in_tree = structures[new_parent.main_index].nodes[new_parent.inner_index];
parent_inner_index = new_parent.inner_index;
}
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auto parent_left_child = node_fetch_left_child_index(parent_in_tree);
auto parent_right_child = node_fetch_right_child_index(parent_in_tree);
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// set parent index
node_fetch_parent_index(node_in_tree) = parent_inner_index;
// The parent's left child is empty
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if (node_is_left_child_null(node_in_tree)) {
parent_left_child = node->inner_index;
return true;
}
// The parent's right child is empty
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else if (node_is_right_child_null(node_in_tree)) {
parent_right_child = node->inner_index;
return true;
}
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return false;
}
BPE_API bool virtual_node_set_left_child(virtual_node_t* node, virtual_node_t* child)
{
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auto& node_in_tree = structures[node->main_index].nodes[node->inner_index];
// The child's parent is not empty
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if (!node_is_parent_null(node_in_tree)) { return false; }
// The node's left child is not empty
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if (!node_is_left_child_null(node_in_tree)) { return false; }
auto node_left_child = node_fetch_left_child_index(node_in_tree);
auto node_right_child = node_fetch_right_child_index(node_in_tree);
// On the same tree
if (node->main_index == child->main_index) {
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auto& child_in_tree = structures[child->main_index].nodes[child->inner_index];
node_fetch_parent_index(child_in_tree) = node->inner_index;
node_left_child = child->inner_index;
} else {
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auto new_child = copy(*child, *node);
auto& child_in_tree = structures[new_child.main_index].nodes[new_child.inner_index];
node_fetch_parent_index(child_in_tree) = node->inner_index;
node_left_child = new_child.inner_index;
}
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return true;
}
BPE_API bool virtual_node_set_right_child(virtual_node_t* node, virtual_node_t* child)
{
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auto& node_in_tree = structures[node->main_index].nodes[node->inner_index];
// The child's parent is not empty
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if (!node_is_parent_null(node_in_tree)) { return false; }
// The node's right child is not empty
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if (!node_is_right_child_null(node_in_tree)) { return false; }
auto node_left_child = node_fetch_left_child_index(node_in_tree);
auto node_right_child = node_fetch_right_child_index(node_in_tree);
// On the same tree
if (node->main_index == child->main_index) {
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auto& child_in_tree = structures[child->main_index].nodes[child->inner_index];
node_fetch_parent_index(child_in_tree) = node->inner_index;
node_right_child = child->inner_index;
} else {
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auto new_child = copy(*child, *node);
auto& child_in_tree = structures[new_child.main_index].nodes[new_child.inner_index];
node_fetch_parent_index(child_in_tree) = node->inner_index;
node_right_child = new_child.inner_index;
}
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return true;
}
BPE_API bool virtual_node_add_child(virtual_node_t* node, virtual_node_t* child)
{
if (virtual_node_set_left_child(node, child)) {
return true;
} else if (virtual_node_set_right_child(node, child)) {
return true;
}
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return false;
}
BPE_API bool virtual_node_remove_child(virtual_node_t* node, virtual_node_t* child)
{
if (node->main_index != child->main_index) { return false; }
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auto& node_in_tree = structures[node->main_index].nodes[node->inner_index];
auto node_left_child = node_fetch_left_child_index(node_in_tree);
auto node_right_child = node_fetch_right_child_index(node_in_tree);
if (node_left_child == child->inner_index) {
node_left_child = 0xFFFFFFFFu;
blobtree_free_virtual_node(child);
return true;
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} else if (node_right_child == child->inner_index) {
node_right_child = 0xFFFFFFFFu;
blobtree_free_virtual_node(child);
return true;
}
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return false;
}
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/* =============================================================================================
* geometry operations
* ============================================================================================= */
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static constexpr node_t standard_new_node = {(uint64_t)0xFFFFFFFFFFFFFFFFu, (uint64_t)0xFFFFFFFFFFFFFFFFu};
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static inline void virtual_node_boolean_op(virtual_node_t* node1, virtual_node_t* node2, eNodeOperation op)
{
auto new_node2 = copy(*node2, *node1);
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auto& inserted_node = structures[node1->main_index].nodes.emplace_back(standard_new_node);
node_fetch_is_primitive(inserted_node) = false;
// weird bug: need to force cast, or it will be treated as uint32_t instead of eNodeOperation
node_fetch_operation(inserted_node) = (eNodeOperation)op;
node_fetch_left_child_index(inserted_node) = node1->inner_index;
node_fetch_right_child_index(inserted_node) = new_node2.inner_index;
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uint32_t parent_index = structures[node1->main_index].nodes.size() - 1;
node_fetch_parent_index(structures[node1->main_index].nodes[node1->inner_index]) = parent_index;
node_fetch_parent_index(structures[new_node2.main_index].nodes[new_node2.inner_index]) = parent_index;
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node1->inner_index = parent_index;
}
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BPE_API void virtual_node_boolean_union(virtual_node_t* node1, virtual_node_t* node2)
{
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virtual_node_boolean_op(node1, node2, eNodeOperation::unionOp);
}
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BPE_API void virtual_node_boolean_intersect(virtual_node_t* node1, virtual_node_t* node2)
{
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virtual_node_boolean_op(node1, node2, eNodeOperation::intersectionOp);
}
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BPE_API void virtual_node_boolean_difference(virtual_node_t* node1, virtual_node_t* node2)
{
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virtual_node_boolean_op(node1, node2, eNodeOperation::differenceOp);
}
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BPE_API void virtual_node_offset(virtual_node_t* node, const raw_vector3d_t& direction, const double length)
{
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raw_vector3d_t offset = {direction.x * length, direction.y * length, direction.z * length};
virtual_node_offset(node, offset);
}
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BPE_API void virtual_node_offset(virtual_node_t* node, const raw_vector3d_t& offset)
{
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Eigen::Map<const Eigen::Vector3d> offset_(&offset.x);
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auto& all_leaf = structures[node->main_index].leaf_index;
for (const auto& leaf_index : structures[node->main_index].leaf_index) {
auto& primitive_node = structures[node->main_index].nodes[leaf_index];
const uint32_t primitive_index = node_fetch_primitive_index(primitive_node);
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offset_primitive(primitives[primitive_index], offset_);
aabbs[primitive_index].offset(offset_);
}
}
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BPE_API void virtual_node_split(virtual_node_t* node, raw_vector3d_t base_point, raw_vector3d_t normal)
{
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plane_descriptor_t descriptor;
descriptor.normal = raw_vector3d_t{normal.x * -1, normal.y * -1, normal.z * -1};
descriptor.point = base_point;
auto plane = blobtree_new_virtual_node(descriptor);
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virtual_node_boolean_intersect(node, &plane);
}