529 lines
21 KiB
C++
Executable File
529 lines
21 KiB
C++
Executable File
#include "simulationmesh.hpp"
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//#include <wrap/nanoply/include/nanoplyWrapper.hpp>
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SimulationMesh::SimulationMesh() {
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elements = vcg::tri::Allocator<SimulationMesh>::GetPerEdgeAttribute<Element>(
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*this, std::string("Elements"));
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nodes = vcg::tri::Allocator<SimulationMesh>::GetPerVertexAttribute<Node>(
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*this, std::string("Nodes"));
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}
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SimulationMesh::SimulationMesh(VCGEdgeMesh &mesh) {
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vcg::tri::MeshAssert<VCGEdgeMesh>::VertexNormalNormalized(mesh);
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VCGEdgeMesh::copy(mesh);
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elements = vcg::tri::Allocator<SimulationMesh>::GetPerEdgeAttribute<Element>(
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*this, std::string("Elements"));
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nodes = vcg::tri::Allocator<SimulationMesh>::GetPerVertexAttribute<Node>(*this,
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std::string("Nodes"));
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initializeNodes();
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initializeElements();
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}
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SimulationMesh::~SimulationMesh() {
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vcg::tri::Allocator<SimulationMesh>::DeletePerEdgeAttribute<Element>(*this,
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elements);
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vcg::tri::Allocator<SimulationMesh>::DeletePerVertexAttribute<Node>(*this,
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nodes);
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}
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SimulationMesh::SimulationMesh(PatternGeometry &pattern) {
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vcg::tri::MeshAssert<PatternGeometry>::VertexNormalNormalized(pattern);
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VCGEdgeMesh::copy(pattern);
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elements = vcg::tri::Allocator<SimulationMesh>::GetPerEdgeAttribute<Element>(
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*this, std::string("Elements"));
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nodes = vcg::tri::Allocator<SimulationMesh>::GetPerVertexAttribute<Node>(
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*this, std::string("Nodes"));
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initializeNodes();
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initializeElements();
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}
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SimulationMesh::SimulationMesh(SimulationMesh &m)
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{
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vcg::tri::MeshAssert<SimulationMesh>::VertexNormalNormalized(m);
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VCGEdgeMesh::copy(m);
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elements = vcg::tri::Allocator<SimulationMesh>::GetPerEdgeAttribute<Element>(*this,
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std::string(
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"Elements"));
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nodes = vcg::tri::Allocator<SimulationMesh>::GetPerVertexAttribute<Node>(*this,
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std::string("Nodes"));
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initializeNodes();
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for (size_t ei = 0; ei < EN(); ei++) {
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elements[ei] = m.elements[ei];
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}
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reset();
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}
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SimulationMesh::SimulationMesh(VCGTriMesh &triMesh)
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{
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vcg::tri::Append<VCGEdgeMesh, VCGTriMesh>::MeshCopy(*this, triMesh);
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label = triMesh.getLabel();
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// eigenEdges = triMesh.getEigenEdges();
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// if (eigenEdges.rows() == 0) {
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computeEdges(eigenEdges);
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// }
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// eigenVertices = triMesh.getEigenVertices();
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// if (eigenVertices.rows() == 0) {
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computeVertices(eigenVertices);
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// }
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vcg::tri::UpdateTopology<VCGEdgeMesh>::VertexEdge(*this);
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elements = vcg::tri::Allocator<SimulationMesh>::GetPerEdgeAttribute<Element>(*this,
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std::string(
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"Elements"));
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nodes = vcg::tri::Allocator<SimulationMesh>::GetPerVertexAttribute<Node>(*this,
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std::string("Nodes"));
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initializeNodes();
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initializeElements();
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reset();
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}
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void SimulationMesh::computeElementalProperties() {
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const std::vector<CrossSectionType> elementalDimensions = getBeamDimensions();
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const std::vector<ElementMaterial> elementalMaterials = getBeamMaterial();
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assert(EN() == elementalDimensions.size() &&
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elementalDimensions.size() == elementalMaterials.size());
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for (const EdgeType &e : edge) {
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const EdgeIndex ei = getIndex(e);
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elements[e].setDimensions(elementalDimensions[ei]);
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elements[e].setMaterial(elementalMaterials[ei]);
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}
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}
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void SimulationMesh::initializeNodes() {
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// set initial and previous locations,
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for (const VertexType &v : vert) {
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const VertexIndex vi = getIndex(v);
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Node &node = nodes[v];
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node.vi = vi;
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node.initialLocation = v.cP();
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node.initialNormal = v.cN();
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node.derivativeOfNormal.resize(6, VectorType(0, 0, 0));
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node.displacements[3] =
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v.cN()[0]; // initialize nx diplacement with vertex normal x
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// component
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node.displacements[4] = v.cN()[1]; // initialize ny(in the paper) diplacement with vertex
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// normal
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// y component.
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// Initialize incident elements
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std::vector<VCGEdgeMesh::EdgePointer> incidentElements;
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vcg::edge::VEStarVE(&v, incidentElements);
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// assert(
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// vcg::tri::IsValidPointer<SimulationMesh>(*this, incidentElements[0]) &&
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// incidentElements.size() > 0);
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if (incidentElements.size() != 0) {
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nodes[v].incidentElements = incidentElements;
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node.referenceElement = getReferenceElement(v);
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// std::vector<int> incidentElementsIndices(node.incidentElements.size());
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// if (drawGlobal && vi == 5) {
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// std::vector<glm::vec3> edgeColors(EN(), glm::vec3(0, 1, 0));
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// std::vector<glm::vec3> vertexColors(VN(), glm::vec3(0, 1, 0));
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// vertexColors[vi] = glm::vec3(0, 0, 1);
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// for (int iei = 0; iei < incidentElementsIndices.size(); iei++) {
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// incidentElementsIndices[iei] = this->getIndex(node.incidentElements[iei]);
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// edgeColors[incidentElementsIndices[iei]] = glm::vec3(1, 0, 0);
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// }
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// polyHandle->addEdgeColorQuantity("chosenE", edgeColors)->setEnabled(true);
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// polyHandle->addNodeColorQuantity("chosenV", vertexColors)->setEnabled(true);
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// draw();
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// }
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// const int referenceElementIndex = getIndex(node.referenceElement);
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// Initialze alpha angles
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const EdgeType &referenceElement = *node.referenceElement;
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const VectorType t01 = computeT1Vector(referenceElement.cP(0), referenceElement.cP(1));
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const VectorType f01 = (t01 - (v.cN() * (t01.dot(v.cN())))).Normalize();
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node.alphaAngles.reserve(incidentElements.size());
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for (const VCGEdgeMesh::EdgePointer &ep : nodes[v].incidentElements) {
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assert(referenceElement.cV(0) == ep->cV(0) || referenceElement.cV(0) == ep->cV(1)
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|| referenceElement.cV(1) == ep->cV(0) || referenceElement.cV(1) == ep->cV(1));
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const VectorType t1 = computeT1Vector(*ep);
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const VectorType f1 = t1 - (v.cN() * (t1.dot(v.cN()))).Normalize();
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const EdgeIndex ei = getIndex(ep);
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const double alphaAngle = computeAngle(f01, f1, v.cN());
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node.alphaAngles.emplace_back(std::make_pair(ei, alphaAngle));
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}
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}
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}
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}
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void SimulationMesh::reset() {
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for (const EdgeType &e : edge) {
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Element &element = elements[e];
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element.ei = getIndex(e);
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const VCGEdgeMesh::CoordType p0 = e.cP(0);
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const VCGEdgeMesh::CoordType p1 = e.cP(1);
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const vcg::Segment3<double> s(p0, p1);
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element.initialLength = s.Length();
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element.length = element.initialLength;
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element.updateRigidity();
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}
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for (const VertexType &v : vert) {
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Node &node = nodes[v];
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node.vi = getIndex(v);
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node.initialLocation = v.cP();
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node.initialNormal = v.cN();
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node.derivativeOfNormal.resize(6, VectorType(0, 0, 0));
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node.displacements[3] = v.cN()[0]; // initialize nx diplacement with vertex normal x
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// component
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node.displacements[4] = v.cN()[1]; // initialize ny(in the paper) diplacement with vertex
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// normal
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// y component.
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const EdgeType &referenceElement = *getReferenceElement(v);
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const VectorType t01 = computeT1Vector(referenceElement.cP(0), referenceElement.cP(1));
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const VectorType f01 = (t01 - (v.cN() * (t01.dot(v.cN())))).Normalize();
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node.alphaAngles.clear();
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node.alphaAngles.reserve(node.incidentElements.size());
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for (const VCGEdgeMesh::EdgePointer &ep : nodes[v].incidentElements) {
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assert(referenceElement.cV(0) == ep->cV(0) || referenceElement.cV(0) == ep->cV(1)
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|| referenceElement.cV(1) == ep->cV(0) || referenceElement.cV(1) == ep->cV(1));
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const VectorType t1 = computeT1Vector(*ep);
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const VectorType f1 = t1 - (v.cN() * (t1.dot(v.cN()))).Normalize();
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const EdgeIndex ei = getIndex(ep);
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const double alphaAngle = computeAngle(f01, f1, v.cN());
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node.alphaAngles.emplace_back(std::make_pair(ei, alphaAngle));
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}
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}
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}
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void SimulationMesh::initializeElements() {
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for (const EdgeType &e : edge) {
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Element &element = elements[e];
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element.ei = getIndex(e);
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// Initialize dimensions
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element.dimensions = CrossSectionType();
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// Initialize material
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element.material = ElementMaterial();
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// Initialize lengths
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const VCGEdgeMesh::CoordType p0 = e.cP(0);
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const VCGEdgeMesh::CoordType p1 = e.cP(1);
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const vcg::Segment3<double> s(p0, p1);
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element.initialLength = s.Length();
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element.length = element.initialLength;
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// Initialize const factors
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element.updateRigidity();
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element.derivativeT1.resize(
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2, std::vector<VectorType>(6, VectorType(0, 0, 0)));
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element.derivativeT2.resize(
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2, std::vector<VectorType>(6, VectorType(0, 0, 0)));
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element.derivativeT3.resize(
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2, std::vector<VectorType>(6, VectorType(0, 0, 0)));
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element.derivativeT1_jplus1.resize(6, VectorType(0, 0, 0));
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element.derivativeT1_j.resize(6, VectorType(0, 0, 0));
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element.derivativeT1_jplus1.resize(6, VectorType(0, 0, 0));
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element.derivativeT2_j.resize(6, VectorType(0, 0, 0));
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element.derivativeT2_jplus1.resize(6, VectorType(0, 0, 0));
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element.derivativeT3_j.resize(6, VectorType(0, 0, 0));
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element.derivativeT3_jplus1.resize(6, VectorType(0, 0, 0));
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element.derivativeR_j.resize(6, VectorType(0, 0, 0));
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element.derivativeR_jplus1.resize(6, VectorType(0, 0, 0));
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}
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updateElementalFrames();
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}
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void SimulationMesh::updateElementalLengths() {
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for (const EdgeType &e : edge) {
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const EdgeIndex ei = getIndex(e);
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const VertexIndex vi0 = getIndex(e.cV(0));
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const VCGEdgeMesh::CoordType p0 = e.cP(0);
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const VertexIndex vi1 = getIndex(e.cV(1));
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const VCGEdgeMesh::CoordType p1 = e.cP(1);
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const vcg::Segment3<double> s(p0, p1);
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const double elementLength = s.Length();
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elements[e].length = elementLength;
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}
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}
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void SimulationMesh::updateElementalFrames() {
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for (const EdgeType &e : edge) {
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const VectorType elementNormal =
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(e.cV(0)->cN() + e.cV(1)->cN()).Normalize();
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elements[e].frame = computeElementFrame(e.cP(0), e.cP(1), elementNormal);
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}
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}
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#ifdef POLYSCOPE_DEFINED
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polyscope::CurveNetwork *SimulationMesh::registerForDrawing(
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const std::optional<std::array<double, 3>> &desiredColor, const bool &shouldEnable)
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{
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const double drawingRadius = getBeamDimensions()[0].getDrawingRadius();
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// std::cout << __FUNCTION__ << " revert this" << std::endl;
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return VCGEdgeMesh::registerForDrawing(desiredColor, /*0.08*/ drawingRadius, shouldEnable);
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}
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void SimulationMesh::unregister() const
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{
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VCGEdgeMesh::unregister();
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}
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#endif
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void SimulationMesh::setBeamCrossSection(
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const CrossSectionType &beamDimensions) {
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for (size_t ei = 0; ei < EN(); ei++) {
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elements[ei].dimensions = beamDimensions;
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elements[ei].updateRigidity();
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}
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}
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void SimulationMesh::setBeamMaterial(const double &pr, const double &ym) {
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for (size_t ei = 0; ei < EN(); ei++) {
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elements[ei].setMaterial(ElementMaterial{pr, ym});
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elements[ei].updateRigidity();
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}
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}
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std::vector<CrossSectionType> SimulationMesh::getBeamDimensions()
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{
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std::vector<CrossSectionType> beamDimensions(EN());
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for (size_t ei = 0; ei < EN(); ei++) {
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beamDimensions[ei] = elements[ei].dimensions;
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}
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return beamDimensions;
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}
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std::vector<ElementMaterial> SimulationMesh::getBeamMaterial()
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{
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std::vector<ElementMaterial> beamMaterial(EN());
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for (size_t ei = 0; ei < EN(); ei++) {
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beamMaterial[ei] = elements[ei].material;
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}
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return beamMaterial;
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}
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bool SimulationMesh::load(const std::string &plyFilename)
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{
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this->Clear();
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// assert(plyFileHasAllRequiredFields(plyFilename));
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// Load the ply file
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// VCGEdgeMesh::PerEdgeAttributeHandle<CrossSectionType> handleBeamDimensions =
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// vcg::tri::Allocator<SimulationMesh>::AddPerEdgeAttribute<
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// CrossSectionType>(*this, plyPropertyBeamDimensionsID);
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// VCGEdgeMesh::PerEdgeAttributeHandle<ElementMaterial> handleBeamMaterial =
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// vcg::tri::Allocator<SimulationMesh>::AddPerEdgeAttribute<ElementMaterial>(
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// *this, plyPropertyBeamMaterialID);
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// nanoply::NanoPlyWrapper<SimulationMesh>::CustomAttributeDescriptor
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// customAttrib;
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// customAttrib.GetMeshAttrib(plyFilename);
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// customAttrib.AddEdgeAttribDescriptor<CrossSectionType, double, 2>(
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// plyPropertyBeamDimensionsID, nanoply::NNP_LIST_INT8_FLOAT64, nullptr);
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// /*FIXME: Since I allow CrossSectionType to take two types I should export the
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// * type as well such that that when loaded the correct type of cross section
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// * is used.
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// */
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// customAttrib.AddEdgeAttribDescriptor<vcg::Point2d, double, 2>(
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// plyPropertyBeamMaterialID, nanoply::NNP_LIST_INT8_FLOAT64, nullptr);
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// VCGEdgeMesh::PerEdgeAttributeHandle<std::array<double, 6>>
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// handleBeamProperties =
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// vcg::tri::Allocator<SimulationMesh>::AddPerEdgeAttribute<
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// std::array<double, 6>>(*this, plyPropertyBeamProperties);
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// customAttrib.AddEdgeAttribDescriptor<std::array<double, 6>, double, 6>(
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// plyPropertyBeamProperties, nanoply::NNP_LIST_INT8_FLOAT64, nullptr);
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// VCGEdgeMesh::PerEdgeAttributeHandle<ElementMaterial>
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// handleBeamRigidityContants;
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// customAttrib.AddEdgeAttribDescriptor<vcg::Point4f, float, 4>(
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// plyPropertyBeamRigidityConstantsID, nanoply::NNP_LIST_INT8_FLOAT32,
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// nullptr);
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// unsigned int mask = 0;
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// mask |= nanoply::NanoPlyWrapper<VCGEdgeMesh>::IO_VERTCOORD;
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// mask |= nanoply::NanoPlyWrapper<VCGEdgeMesh>::IO_VERTNORMAL;
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// mask |= nanoply::NanoPlyWrapper<VCGEdgeMesh>::IO_EDGEINDEX;
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// mask |= nanoply::NanoPlyWrapper<VCGEdgeMesh>::IO_EDGEATTRIB;
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// mask |= nanoply::NanoPlyWrapper<VCGEdgeMesh>::IO_MESHATTRIB;
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if (!VCGEdgeMesh::load(plyFilename)) {
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return false;
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}
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// elements = vcg::tri::Allocator<SimulationMesh>::GetPerEdgeAttribute<Element>(
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// *this, std::string("Elements"));
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// nodes = vcg::tri::Allocator<SimulationMesh>::GetPerVertexAttribute<Node>(
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// *this, std::string("Nodes"));
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vcg::tri::UpdateTopology<SimulationMesh>::VertexEdge(*this);
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initializeNodes();
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initializeElements();
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setBeamMaterial(0.3, 1 * 1e9);
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updateEigenEdgeAndVertices();
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// if (!handleBeamProperties._handle->data.empty()) {
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// for (size_t ei = 0; ei < EN(); ei++) {
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// elements[ei] =
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// Element::Properties(handleBeamProperties[ei]);
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// elements[ei].updateRigidity();
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// }
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// }
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// for (size_t ei = 0; ei < EN(); ei++) {
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// elements[ei].setDimensions(handleBeamDimensions[ei]);
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// elements[ei].setMaterial(handleBeamMaterial[ei]);
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// elements[ei].updateRigidity();
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// }
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bool normalsAreAbsent = vert[0].cN().Norm() < 0.000001;
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if (normalsAreAbsent) {
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CoordType normalVector(0, 0, 1);
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std::cout << "Warning: Normals are missing from " << plyFilename
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<< ". Added normal vector:" << toString(normalVector) << std::endl;
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for (auto &v : vert) {
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v.N() = normalVector;
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}
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}
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return true;
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}
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bool SimulationMesh::save(const std::string &plyFilename)
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{
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std::string filename = plyFilename;
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if (filename.empty()) {
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filename = std::filesystem::current_path().append(getLabel() + ".ply").string();
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}
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// nanoply::NanoPlyWrapper<VCGEdgeMesh>::CustomAttributeDescriptor customAttrib;
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// customAttrib.GetMeshAttrib(filename);
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// std::vector<CrossSectionType> dimensions = getBeamDimensions();
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// customAttrib.AddEdgeAttribDescriptor<CrossSectionType, double, 2>(plyPropertyBeamDimensionsID,
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// nanoply::NNP_LIST_INT8_FLOAT64,
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// dimensions.data());
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// std::vector<ElementMaterial> material = getBeamMaterial();
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// customAttrib.AddEdgeAttribDescriptor<vcg::Point2d, double, 2>(plyPropertyBeamMaterialID,
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// nanoply::NNP_LIST_INT8_FLOAT64,
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// material.data());
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// unsigned int mask = 0;
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// mask |= nanoply::NanoPlyWrapper<VCGEdgeMesh>::IO_VERTCOORD;
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// mask |= nanoply::NanoPlyWrapper<VCGEdgeMesh>::IO_EDGEINDEX;
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// mask |= nanoply::NanoPlyWrapper<VCGEdgeMesh>::IO_EDGEATTRIB;
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// mask |= nanoply::NanoPlyWrapper<VCGEdgeMesh>::IO_VERTNORMAL;
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// if (nanoply::NanoPlyWrapper<VCGEdgeMesh>::SaveModel(filename.c_str(),
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// *this,
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// mask,
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// customAttrib,
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// false)
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// != 1) {
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// return false;
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// }
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if (!VCGEdgeMesh::save(plyFilename)) {
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return false;
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}
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return true;
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}
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SimulationMesh::EdgePointer
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SimulationMesh::getReferenceElement(const VCGEdgeMesh::VertexType &v) {
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const VertexIndex vi = getIndex(v);
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return nodes[v].incidentElements[0];
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}
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VectorType computeT1Vector(const SimulationMesh::EdgeType &e)
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{
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return computeT1Vector(e.cP(0), e.cP(1));
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}
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VectorType computeT1Vector(const CoordType &p0, const CoordType &p1) {
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const VectorType t1 = (p1 - p0).Normalize();
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return t1;
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}
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Element::LocalFrame computeElementFrame(const CoordType &p0,
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const CoordType &p1,
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const VectorType &elementNormal) {
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|
const VectorType t1 = computeT1Vector(p0, p1);
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|
const VectorType t2 = (elementNormal ^ t1).Normalize();
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|
const VectorType t3 = (t1 ^ t2).Normalize();
|
|
|
|
return Element::LocalFrame{t1, t2, t3};
|
|
}
|
|
|
|
double computeAngle(const VectorType &vector0, const VectorType &vector1,
|
|
const VectorType &normalVector) {
|
|
double cosAngle = vector0.dot(vector1);
|
|
const double epsilon = std::pow(10, -6);
|
|
if (abs(cosAngle) > 1 && abs(cosAngle) < 1 + epsilon) {
|
|
if (cosAngle > 0) {
|
|
cosAngle = 1;
|
|
|
|
} else {
|
|
cosAngle = -1;
|
|
}
|
|
}
|
|
assert(abs(cosAngle) <= 1);
|
|
const double angle =
|
|
acos(cosAngle); // NOTE: I compute the alpha angle not between
|
|
// two consecutive elements but rather between
|
|
// the first and the ith. Is this correct?
|
|
assert(!std::isnan(angle));
|
|
|
|
const VectorType cp = vector0 ^ vector1;
|
|
if (cp.dot(normalVector) < 0) {
|
|
return -angle;
|
|
}
|
|
return angle;
|
|
}
|
|
|
|
//void Element::computeMaterialProperties(const ElementMaterial &material) {
|
|
// G = material.youngsModulus / (2 * (1 + material.poissonsRatio));
|
|
//}
|
|
|
|
//void Element::computeCrossSectionArea(const RectangularBeamDimensions &dimensions, double &A)
|
|
//{
|
|
// A = dimensions.b * dimensions.h;
|
|
//}
|
|
|
|
//void Element::computeDimensionsProperties(
|
|
// const RectangularBeamDimensions &dimensions) {
|
|
// assert(typeid(CrossSectionType) == typeid(RectangularBeamDimensions));
|
|
// computeCrossSectionArea(dimensions, A);
|
|
// computeMomentsOfInertia(dimensions, dimensions.inertia);
|
|
//}
|
|
|
|
//void Element::computeDimensionsProperties(
|
|
// const CylindricalBeamDimensions &dimensions) {
|
|
// assert(typeid(CrossSectionType) == typeid(CylindricalBeamDimensions));
|
|
// A = M_PI * (std::pow(dimensions.od / 2, 2) - std::pow(dimensions.id / 2, 2));
|
|
// dimensions.inertia.I2 = M_PI * (std::pow(dimensions.od, 4) - std::pow(dimensions.id, 4)) / 64;
|
|
// dimensions.inertia.I3 = dimensions.inertia.I2;
|
|
// dimensions.inertia.J = dimensions.inertia.I2 + dimensions.inertia.I3;
|
|
//}
|
|
|
|
void Element::setDimensions(const CrossSectionType &dimensions) {
|
|
this->dimensions = dimensions;
|
|
assert(this->dimensions.A == dimensions.A);
|
|
// computeDimensionsProperties(dimensions);
|
|
updateRigidity();
|
|
}
|
|
|
|
void Element::setMaterial(const ElementMaterial &material)
|
|
{
|
|
this->material = material;
|
|
// computeMaterialProperties(material);
|
|
updateRigidity();
|
|
}
|
|
|
|
double Element::getMass(const double &materialDensity)
|
|
{
|
|
const double beamVolume = dimensions.A * length;
|
|
return beamVolume * materialDensity;
|
|
}
|
|
|
|
void Element::updateRigidity() {
|
|
// assert(initialLength != 0);
|
|
rigidity.axial = material.youngsModulus * dimensions.A / initialLength;
|
|
// assert(rigidity.axial != 0);
|
|
rigidity.torsional = material.G * dimensions.inertia.J / initialLength;
|
|
// assert(rigidity.torsional != 0);
|
|
rigidity.firstBending = 2 * material.youngsModulus * dimensions.inertia.I2 / initialLength;
|
|
// assert(rigidity.firstBending != 0);
|
|
rigidity.secondBending = 2 * material.youngsModulus * dimensions.inertia.I3 / initialLength;
|
|
// assert(rigidity.secondBending != 0);
|
|
}
|