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527 | #include "meshkit/Mesh.hpp"
using namespace Jaal;
//
// QTrack is similar to "Motorcycle graph" proposed by Eppestein group.
// But somehow, I don't like this term.
//
#ifdef CSV
struct QTrack {
const static int END_AT_TERMINALS = 0;
const static int END_AT_CROSSINGS = 1;
NodeSequence sequence;
bool operator ==(const QTrack & rhs) const {
size_t nSize = sequence.size();
if (nSize != rhs.sequence.size()) return 0;
Vertex *v0src = sequence.front();
Vertex *v0dst = sequence.back();
Vertex *v1src = rhs.sequence.front();
Vertex *v1dst = rhs.sequence.back();
if (v0src == v1src && v0dst == v1dst) return 1;
if (v0src == v1dst && v0dst == v1src) return 1;
return 0;
}
bool operator<(const QTrack & rhs) const {
return sequence.size() < rhs.sequence.size();
}
/////////////////////////////////////////////////////////////////////////////
// There are two ways to advance along the track.
// (1) Incremental: All track propagate simulateneously and
// at the intersection, only one is allowed
// to proceed towards other irregular node.
// (11) Greedy : Start from one vertex and complete its
// track.
// It is not clear which method is better, but "greedy" may likely
// give very high aspect ratio quad patches. Incremental on the
// other hand may produce many small patches..
//
/////////////////////////////////////////////////////////////////////////////
int advance_single_step(int endat) {
//////////////////////////////////////////////////////////////////////////
// **********************
// * * *
// * * Next *
// * * *
// Avoid ********************** Avoid
// * * *
// * * Current *
// * * *
// * * *
// **********************
// Source
// A Source vertex and Current edge is chosen.
// We want to avoid two edges and want to select "Next" edge.
//////////////////////////////////////////////////////////////////////////
Vertex *v0, *v1, *v2, *v3, *v4;
vector<Face*> adjFaces;
vector<Vertex*> vneighs;
set<Vertex*> vset;
size_t index = sequence.size();
v0 = sequence[index - 2];
v1 = sequence[index - 1];
v0->setVisitMark(1);
if (endat == END_AT_CROSSINGS && v1->isVisited()) return 0;
if (v1->isBoundary()) return 0;
v1->setVisitMark(1);
vneighs = v1->getRelations0();
if (vneighs.size() != 4) return 0;
adjFaces = Mesh::getRelations112(v0, v1);
assert(adjFaces.size() == 2);
v2 = Face::opposite_node(adjFaces[0], v0);
v3 = Face::opposite_node(adjFaces[1], v0);
vset.clear();
vset.insert(vneighs[0]);
vset.insert(vneighs[1]);
vset.insert(vneighs[2]);
vset.insert(vneighs[3]);
vset.erase(v0);
vset.erase(v2);
vset.erase(v3);
assert(vset.size() == 1);
v4 = *vset.begin();
sequence.push_back(v4);
return 1;
}
void advance(int endat) {
assert(sequence.size() == 2);
// Starting node is always irregular ...
vector<Face*> vfaces = sequence[0]->getRelations2();
assert(vfaces.size() != 4);
while (1) {
int progress = advance_single_step(endat);
if (!progress) break;
}
/*
// The path is reversible and therefore, we will give a direction
// from the lower source node to higher destination node.
if (sequence.front() > sequence.back())
reverse(sequence.begin(), sequence.end());
assert(sequence.front() < sequence.back());
*/
// Checking the correctness..
if (endat == END_AT_TERMINALS) {
vfaces = sequence.front()->getRelations2();
assert(vfaces.size() != 4);
vfaces = sequence.back()->getRelations2();
assert(vfaces.size() != 4);
for (int i = 1; i < sequence.size() - 1; i++) {
vfaces = sequence[i]->getRelations2();
assert(vfaces.size() == 4);
}
}
}
};
///////////////////////////////////////////////////////////////////////////////
struct StructuredMesh2D {
StructuredMesh2D() {<--- Member variable 'StructuredMesh2D::myID' is not initialized in the constructor.
nx = ny = 0;
}
int nx, ny;
vector<Face*> faces;
vector<Vertex*> nodes;
set<Vertex*> cornerNodes;
void clearAll() {
nodes.clear();
faces.clear();
neighs.clear();
cornerNodes.clear();
nx = 0;
ny = 0;
}
bool operator<(const StructuredMesh2D & rhs) const {
return this->getSize(2) < rhs.getSize(2);
}
size_t getSize(int e) const {
if (e == 0) return nodes.size();
if (e == 2) return faces.size();
return 0;
}
int myID;
vector<int> neighs;
};
#endif
///////////////////////////////////////////////////////////////////////////////
void build_submesh_topology(StructuredMesh2D &smesh)
{
/*
smesh.neighs.clear();
FaceSequence adjfaces;
set<int> nset;
size_t numFaces = smesh.faces.size();
for (size_t i = 0; i < numFaces; i++) {
Face *face = smesh.faces[i];
for (int j = 0; j < 4; j++) {
Vertex *v0 = face->getNodeAt(j + 0);
Vertex *v1 = face->getNodeAt(j + 1);
Mesh::getRelations112(v0, v1, adjfaces);
int numneighs = adjfaces.size();
for (int k = 0; k < numneighs; k++) {
int nid = adjfaces[k]->getTag();
nset.insert(nid);
}
}
}
nset.erase(smesh.myID);
set<int>::const_iterator it1;
for (it1 = nset.begin(); it1 != nset.end(); ++it1)
smesh.neighs.push_back(*it1);
*/
}
///////////////////////////////////////////////////////////////////////////////
Face *getSeedFace(Jaal::Mesh *mesh) {
size_t numfaces = mesh->getSize(2);
for (size_t i = 0; i < numfaces; i++) {
Face *f = mesh->getFaceAt(i);
if (!f->isVisited()) return f;
}
return NULL;
}
///////////////////////////////////////////////////////////////////////////////
size_t independent_components(Jaal::Mesh *mesh) {
size_t numfaces = mesh->getSize(2);
size_t numneighs;
for (size_t i = 0; i < numfaces; i++) {
Face *f = mesh->getFaceAt(i);
f->setVisitMark(0);
f->setAttribute( "Partition", 0);
}
size_t compid = 0;
deque<Face*> faceQ;
FaceSequence adjfaces;
while (1) {
Face *currface = getSeedFace(mesh);
if (currface == NULL) break;
faceQ.push_back(currface);
while (!faceQ.empty()) {
currface = faceQ.front();
faceQ.pop_front();
if (!currface->isVisited()) {
currface->setAttribute( "Partition", compid);
currface->setVisitMark(1);
for (int i = 0; i < 4; i++) {
Vertex *v0 = currface->getNodeAt(i + 0);
Vertex *v1 = currface->getNodeAt(i + 1);
if (v0->isVisited() && v1->isVisited()) continue;
Mesh::getRelations112(v0, v1, adjfaces);
numneighs= adjfaces.size();
for (size_t j = 0; j < numneighs; j++)
faceQ.push_back(adjfaces[j]);
}
}
}
compid++;
}
#ifdef DEBUG
for (size_t i = 0; i < numfaces; i++) {
Face *f = mesh->getFaceAt(i);
assert(f->isVisited());
}
#endif
return compid;
}
/////////////////////////////////////////////////////////////////////////////////
int merge_submesh(StructuredMesh2D &amesh, StructuredMesh2D &bmesh) {
if (amesh.myID == bmesh.myID) return 1;
if (amesh.cornerNodes.size() != 4) return 2;
if (bmesh.cornerNodes.size() != 4) return 2;
vector<Vertex*> common;
set_intersection(amesh.cornerNodes.begin(), amesh.cornerNodes.end(),
bmesh.cornerNodes.begin(), bmesh.cornerNodes.end(),
back_inserter(common));
if (common.size() != 2) return 3;
size_t numFaces;
FaceSequence vfaces;
numFaces = amesh.faces.size();
for (size_t i = 0; i < numFaces; i++) {
for (int j = 0; j < 4; j++) {
Vertex *v = amesh.faces[i]->getNodeAt(j);
if (!v->isBoundary()) {
if ( v->getNumRelations(2) != 4) return 4;
}
}
}
numFaces = bmesh.faces.size();
for (size_t i = 0; i < numFaces; i++) {
for (int j = 0; j < 4; j++) {
Vertex *v = bmesh.faces[i]->getNodeAt(j);
if (!v->isBoundary()) {
if ( v->getNumRelations(2) != 4) return 4;
}
}
}
numFaces = bmesh.faces.size();
for (size_t i = 0; i < numFaces; i++) {
amesh.faces.push_back(bmesh.faces[i]);
bmesh.faces[i]->setAttribute("Partition", amesh.myID);
}
NodeSet::const_iterator it;
for (it = bmesh.cornerNodes.begin(); it != bmesh.cornerNodes.end(); ++it)
amesh.cornerNodes.insert(*it);
assert(amesh.cornerNodes.size() == 6);
amesh.cornerNodes.erase(common[0]);
amesh.cornerNodes.erase(common[1]);
bmesh.clearAll();
return 0;
}
/////////////////////////////////////////////////////////////////////////////////
StructuredMesh2D getQuadPatch(Jaal::Mesh *mesh, int compid) {
StructuredMesh2D smesh;
smesh.myID = compid;
smesh.nx = 1;
smesh.ny = 1;
size_t numfaces = mesh->getSize(2);
set<Face*> faceSet;
set<Face*>::const_iterator fit;
set<Vertex*> nodeSet;
set<Vertex*>::const_iterator nit;
int ival = 0;
for (size_t i = 0; i < numfaces; i++) {
Face *face = mesh->getFaceAt(i);
if( face->isActive() ) {
face->getAttribute("Partition", ival );
if ( ival == compid) {
faceSet.insert(face);
nodeSet.insert(face->getNodeAt(0));
nodeSet.insert(face->getNodeAt(1));
nodeSet.insert(face->getNodeAt(2));
nodeSet.insert(face->getNodeAt(3));
}
}
}
if (faceSet.empty()) return smesh;
NodeSet boundNodes, cornerNodes;
FaceSet boundFaces, cornerFaces;
FaceSequence vfaces;
int ncount;<--- The scope of the variable 'ncount' can be reduced.
size_t numneighs;<--- The scope of the variable 'numneighs' can be reduced.
for (nit = nodeSet.begin(); nit != nodeSet.end(); ++nit) {
Vertex *vertex = *nit;
vertex->getRelations( vfaces);
ncount = 0;
numneighs = vfaces.size();
for (size_t j = 0; j < numneighs; j++)
if (faceSet.find(vfaces[j]) != faceSet.end()) ncount++;
if (ncount == 1) {
cornerNodes.insert(vertex);
for (size_t j = 0; j < numneighs; j++)
if (faceSet.find(vfaces[j]) != faceSet.end()) cornerFaces.insert(vfaces[j]);
}
if (ncount != 4) boundNodes.insert(vertex);
}
for (fit = faceSet.begin(); fit != faceSet.end(); ++fit)
smesh.faces.push_back(*fit);
for (nit = nodeSet.begin(); nit != nodeSet.end(); ++nit)
smesh.nodes.push_back(*nit);
smesh.cornerNodes = cornerNodes;
build_submesh_topology(smesh);
return smesh;
}
/////////////////////////////////////////////////////////////////////////////////
int Mesh::search_quad_patches()
{
int nTopo = isHomogeneous();
if (nTopo != 4) {
cout << "Error: The mesh must be all Quads " << endl;
return 1;
}
int relexist2 = build_relations(0, 2);
int relexist0 = build_relations(0, 0);
search_boundary();
size_t numnodes = getSize(0);
for (size_t i = 0; i < numnodes; i++) {
Vertex *vertex = getNodeAt(i);
vertex->setVisitMark(0);
}
size_t numfaces = getSize(2);
for (size_t i = 0; i < numfaces; i++) {
Face *face = getFaceAt(i);
face->setVisitMark(0);
}
vector<QTrack> qpath;
QTrack qp;
qp.sequence.resize(2); // As we know the starting edge
size_t nCount = 0;
NodeSequence vnodes;
for (size_t i = 0; i < numnodes; i++) {
Vertex *vertex = getNodeAt(i);
if (!vertex->isBoundary()) {
vertex->getRelations( vnodes );
size_t numneighs = vnodes.size();
if (numneighs != 4) {
qp.sequence[0] = vertex;
for (size_t j = 0; j < numneighs; j++) {
qp.sequence[1] = vnodes[j];
nCount++;
qpath.push_back(qp);
}
}
}
}
if (qpath.empty()) {
cout << "Info: There are no irregular nodes in the mesh" << endl;
return 0;
} else
cout << "# of branches spawned " << nCount << endl;
for (size_t j = 0; j < qpath.size(); j++)
qpath[j].advance(0);
sort(qpath.begin(), qpath.end());
/*
saveAs("b.dat");
for (int i = 0; i < qpath.size(); i++) {
if (qpath[i].sequence.front()->isBoundary()) continue;
if (qpath[i].sequence.back()->isBoundary() ) continue;
int found = 0;
cout << " PATH SIZE " << qpath[i].sequence.size() << endl;
for (int k = 0; k < qpath[i].sequence.size(); k++)
cout << qpath[i].sequence[k]->getID() << " ";
cout << endl;
for (int j = 0; j < qpath.size(); j++) {
if ((i != j) && (qpath[i] == qpath[j])) {
found = 1;
cout << "Same path " << i << " " << j << endl;
for (int k = 0; k < qpath[j].sequence.size(); k++)
cout << qpath[j].sequence[k]->getID() << " ";
cout << endl;
}
}
assert(found);
}
*/
exit(0);
int numPatches = independent_components(this);
deque<StructuredMesh2D> submesh(numPatches);
// New we can merge some sub-meshes
for (int i = 0; i < numPatches; i++) {
StructuredMesh2D sm = getQuadPatch(this, i);
submesh[i] = sm;
}
sort(submesh.begin(), submesh.end());
while (1) {
int nSize = submesh.size();
cout << "#Submeshes " << submesh.size() << endl;
size_t count_merged = 0;
for (int i = 0; i < nSize; i++) {
for (int j = i + 1; j < nSize; j++) {
int err = merge_submesh(submesh[i], submesh[j]);
if (!err) count_merged++;
}
}
cout << " #of Submesh merged " << count_merged << endl;
if (count_merged == 0) break;
//
// Retain only those submeshes which are not empty. ( Note
// that when two submeshes merge, one of them become empty.
//
for (int i = 0; i < nSize; i++) {
StructuredMesh2D sm = submesh.front();
submesh.pop_front();
if (sm.getSize(2)) submesh.push_back(sm);
}
}
sort(submesh.begin(), submesh.end());
exit(0);
/*
for (size_t i = 0; i < numnodes; i++) {
Vertex *vertex = getNodeAt(i);
vertex->setTag(vertex->isVisited());
}
*/
if (relexist0)
clear_relations(0, 0);
if (relexist2)
clear_relations(0, 2);
return submesh.size();
}
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