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/***************************************************************************
* Copyright (c) 2024 Werner Mayer <wmayer[at]users.sourceforge.net> *
* *
* This file is part of FreeCAD. *
* *
* FreeCAD is free software: you can redistribute it and/or modify it *
* under the terms of the GNU Lesser General Public License as *
* published by the Free Software Foundation, either version 2.1 of the *
* License, or (at your option) any later version. *
* *
* FreeCAD is distributed in the hope that it will be useful, but *
* WITHOUT ANY WARRANTY; without even the implied warranty of *
* MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the GNU *
* Lesser General Public License for more details. *
* *
* You should have received a copy of the GNU Lesser General Public *
* License along with FreeCAD. If not, see *
* <https://www.gnu.org/licenses/>. *
* *
**************************************************************************/
#include <algorithm>
#include <Precision.hxx>
#include "BRepMesh.h"
#include <Base/Tools.h>
using namespace Part;
namespace
{
struct MeshVertex
{
Base::Vector3d p;
std::size_t i = 0;
explicit MeshVertex(const Base::Vector3d& p)
: p(p)
{}
Base::Vector3d toPoint() const
{
return p;
}
bool operator<(const MeshVertex& v) const
{
if (p.x != v.p.x) {
return p.x < v.p.x;
}
if (p.y != v.p.y) {
return p.y < v.p.y;
}
if (p.z != v.p.z) {
return p.z < v.p.z;
}
// points are equal
return false;
}
};
class MergeVertex
{
public:
using Facet = BRepMesh::Facet;
MergeVertex(std::vector<Base::Vector3d> points, std::vector<Facet> faces, double tolerance)
: points {std::move(points)}
, faces {std::move(faces)}
, tolerance {tolerance}
{
setDefaultMap();
check();
}
bool hasDuplicatedPoints() const
{
return duplicatedPoints > 0;
}
void mergeDuplicatedPoints()
{
if (!hasDuplicatedPoints()) {
return;
}
redirectPointIndex();
auto degreeMap = getPointDegrees();
decrementPointIndex(degreeMap);
removeUnusedPoints(degreeMap);
reset();
}
std::vector<Base::Vector3d> getPoints() const
{
return points;
}
std::vector<Facet> getFacets() const
{
return faces;
}
private:
void setDefaultMap()
{
// by default map point index to itself
mapPointIndex.resize(points.size());
std::generate(mapPointIndex.begin(), mapPointIndex.end(), Base::iotaGen<std::size_t>(0));
}
void reset()
{
mapPointIndex.clear();
duplicatedPoints = 0;
}
void check()
{
using VertexIterator = std::vector<Base::Vector3d>::const_iterator;
double tol3d = tolerance;
auto vertexLess = [tol3d](const VertexIterator& v1, const VertexIterator& v2) {
if (fabs(v1->x - v2->x) >= tol3d) {
return v1->x < v2->x;
}
if (fabs(v1->y - v2->y) >= tol3d) {
return v1->y < v2->y;
}
if (fabs(v1->z - v2->z) >= tol3d) {
return v1->z < v2->z;
}
return false; // points are considered to be equal
};
auto vertexEqual = [&](const VertexIterator& v1, const VertexIterator& v2) {
if (vertexLess(v1, v2)) {
return false;
}
if (vertexLess(v2, v1)) {
return false;
}
return true;
};
std::vector<VertexIterator> vertices;
vertices.reserve(points.size());
for (auto it = points.cbegin(); it != points.cend(); ++it) {
vertices.push_back(it);
}
std::sort(vertices.begin(), vertices.end(), vertexLess);
auto next = vertices.begin();
while (next != vertices.end()) {
next = std::adjacent_find(next, vertices.end(), vertexEqual);
if (next != vertices.end()) {
auto first = next;
std::size_t first_index = *first - points.begin();
++next;
while (next != vertices.end() && vertexEqual(*first, *next)) {
std::size_t next_index = *next - points.begin();
mapPointIndex[next_index] = first_index;
++duplicatedPoints;
++next;
}
}
}
}
void redirectPointIndex()
{
for (auto& face : faces) {
face.I1 = int(mapPointIndex[face.I1]);
face.I2 = int(mapPointIndex[face.I2]);
face.I3 = int(mapPointIndex[face.I3]);
}
}
std::vector<std::size_t> getPointDegrees() const
{
std::vector<std::size_t> degreeMap;
degreeMap.resize(points.size());
for (const auto& face : faces) {
degreeMap[face.I1]++;
degreeMap[face.I2]++;
degreeMap[face.I3]++;
}
return degreeMap;
}
void decrementPointIndex(const std::vector<std::size_t>& degreeMap)
{
std::vector<std::size_t> decrements;
decrements.resize(points.size());
std::size_t decr = 0;
for (std::size_t pos = 0; pos < points.size(); pos++) {
decrements[pos] = decr;
if (degreeMap[pos] == 0) {
decr++;
}
}
for (auto& face : faces) {
face.I1 -= int(decrements[face.I1]);
face.I2 -= int(decrements[face.I2]);
face.I3 -= int(decrements[face.I3]);
}
}
void removeUnusedPoints(const std::vector<std::size_t>& degreeMap)
{
// remove unreferenced points
std::vector<Base::Vector3d> new_points;
new_points.reserve(points.size() - duplicatedPoints);
for (std::size_t pos = 0; pos < points.size(); ++pos) {
if (degreeMap[pos] > 0) {
new_points.push_back(points[pos]);
}
}
points.swap(new_points);
}
private:
std::vector<Base::Vector3d> points;
std::vector<Facet> faces;
double tolerance = 0.0;
std::size_t duplicatedPoints = 0;
std::vector<std::size_t> mapPointIndex;
};
} // namespace
void BRepMesh::getFacesFromDomains(
const std::vector<Domain>& domains,
std::vector<Base::Vector3d>& points,
std::vector<Facet>& faces
)
{
std::size_t numFaces = 0;
for (const auto& it : domains) {
numFaces += it.facets.size();
}
faces.reserve(numFaces);
std::set<MeshVertex> vertices;
auto addVertex = [&vertices](const Base::Vector3d& pnt, uint32_t& pointIndex) {
MeshVertex vertex(pnt);
vertex.i = vertices.size();
auto it = vertices.insert(vertex);
pointIndex = it.first->i;
};
for (const auto& domain : domains) {
std::size_t numDomainFaces = 0;
for (const Facet& df : domain.facets) {
Facet face;
// 1st vertex
addVertex(domain.points[df.I1], face.I1);
// 2nd vertex
addVertex(domain.points[df.I2], face.I2);
// 3rd vertex
addVertex(domain.points[df.I3], face.I3);
// make sure that we don't insert invalid facets
if (face.I1 != face.I2 && face.I2 != face.I3 && face.I3 != face.I1) {
faces.push_back(face);
numDomainFaces++;
}
}
domainSizes.push_back(numDomainFaces);
}
std::vector<Base::Vector3d> meshPoints;
meshPoints.resize(vertices.size());
for (const auto& vertex : vertices) {
meshPoints[vertex.i] = vertex.toPoint();
}
points.swap(meshPoints);
MergeVertex merge(points, faces, Precision::Confusion());
if (merge.hasDuplicatedPoints()) {
merge.mergeDuplicatedPoints();
points = merge.getPoints();
faces = merge.getFacets();
}
}
std::vector<BRepMesh::Segment> BRepMesh::createSegments() const
{
std::size_t numMeshFaces = 0;
std::vector<Segment> segm;
for (size_t numDomainFaces : domainSizes) {
Segment segment(numDomainFaces);
std::generate(segment.begin(), segment.end(), Base::iotaGen<std::size_t>(numMeshFaces));
numMeshFaces += numDomainFaces;
segm.push_back(segment);
}
return segm;
}
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