diff --git a/Common/Gmsh.cpp b/Common/Gmsh.cpp
index e26ad0571c4cb446df10daef7f12d823f1fec129..477088452a4ab5461ff7c5e4b63e299a0eed3118 100644
--- a/Common/Gmsh.cpp
+++ b/Common/Gmsh.cpp
@@ -87,8 +87,8 @@ int GmshInitialize(int argc, char **argv)
PluginManager::instance()->registerDefaultPlugins();
#endif
- // Initialize robust predicates
- robustPredicates::exactinit();
+ // Initialize robust predicates (no static filter for now, we do not know the size of the domain)
+ robustPredicates::exactinit(0,1.0,1.0,1.0);
if(dummy) delete dummy;
return 1;
diff --git a/Geo/CMakeLists.txt b/Geo/CMakeLists.txt
index b1d3a1d9d2d281e3058bc801e92700aed7b49124..b0f5ee1961907c16044c04c7a7e150a0b9b8dfab 100644
--- a/Geo/CMakeLists.txt
+++ b/Geo/CMakeLists.txt
@@ -15,7 +15,7 @@ set(SRC
gmshSurface.cpp
OCCVertex.cpp OCCEdge.cpp OCCFace.cpp OCCRegion.cpp
GenericVertex.cpp GenericEdge.cpp GenericFace.cpp GenericRegion.cpp
- discreteEdge.cpp discreteFace.cpp discreteRegion.cpp
+ discreteEdge.cpp discreteFace.cpp discreteDiskFace.cpp discreteRegion.cpp
fourierEdge.cpp fourierFace.cpp fourierProjectionFace.cpp
ACISVertex.cpp
ACISEdge.cpp
diff --git a/Geo/Curvature.cpp b/Geo/Curvature.cpp
index 4e1cb5a7d3adccd1c307172b2b70a7a4a65010bd..98d2c32368e5a3c7c1951e85c8355f21190c36fb 100644
--- a/Geo/Curvature.cpp
+++ b/Geo/Curvature.cpp
@@ -91,12 +91,17 @@ Curvature& Curvature::getInstance()
/// -------------------------------------------------------------------------------------------
// Loop over all faces. Check if the face is a compound. If it is, store all of its discrete
// faces in _EntityArray
-
+
std::list<GFace*> global_face_list;
for(GModel::fiter face_iter = _model->firstFace(); face_iter != _model->lastFace(); ++face_iter)
{
- if ( (*face_iter)->geomType() == GEntity::CompoundSurface )
+ if ( (*face_iter)->geomType() != GEntity::CompoundSurface ){
+ if (!(*face_iter)->getCompound()){
+ global_face_list.push_back(*face_iter);
+ }
+ }
+ else if ( (*face_iter)->geomType() == GEntity::CompoundSurface )
{
GFaceCompound* compound = dynamic_cast<GFaceCompound*>(*face_iter);
std::list<GFace*> tempcompounds = compound->getCompounds();
@@ -117,7 +122,6 @@ Curvature& Curvature::getInstance()
global_face_list.unique();
_EntityArray.resize(global_face_list.size());
std::copy(global_face_list.begin(),global_face_list.end(),_EntityArray.begin());
-
#endif
}
@@ -430,6 +434,14 @@ void Curvature::computeVertexNormals()
//========================================================================================================
+SVector3 Curvature::vertexNormal (MVertex* A)
+{
+ const int V0 = _VertexToInt[A->getNum()]; //The new number of the vertex
+ return _VertexNormal[V0];
+}
+
+//========================================================================================================
+
void Curvature::curvatureTensor()
{
@@ -878,7 +890,7 @@ void Curvature::computeCurvature(GModel* model, typeOfCurvature typ)
Msg::StatusBar(true, "(C) Done Computing Curvature (%g s)", t1-t0);
//writeToMshFile("curvature.msh");
- writeToPosFile("curvature.pos");
+ //writeToPosFile("curvature.pos");
//writeToVtkFile("curvature.vtk");
}
@@ -1039,6 +1051,7 @@ void Curvature::smoothCurvatureField(const int NbIter)
void Curvature::computeCurvature_Rusinkiewicz(int isMax)
{
+
retrieveCompounds();
initializeMap();
@@ -1196,6 +1209,7 @@ void Curvature::computeCurvature_Rusinkiewicz(int isMax)
_VertexNormal[ivertex], _pdir1[ivertex], _pdir2[ivertex], _curv1[ivertex], _curv2[ivertex]);
}
+
_VertexCurve.resize( _VertexToInt.size() );
for (unsigned int ivertex = 0; ivertex < _VertexToInt.size(); ++ivertex){
@@ -1216,6 +1230,7 @@ void Curvature::computeCurvature_Rusinkiewicz(int isMax)
// Propagate the value of curvature from nodes close the edges of the geometry onto the edges
correctOnEdges();
+ // throw;
} //End of the "computeCurvature_Rusinkiewicz" method
diff --git a/Geo/Curvature.h b/Geo/Curvature.h
index 966a015985a51149597383a28d1d007f166d2f2d..d4ca37f6fe252be7aca02a881ae842e78f4771ed 100644
--- a/Geo/Curvature.h
+++ b/Geo/Curvature.h
@@ -216,6 +216,7 @@ public:
void vertexNodalValues(MVertex* A, double& c0, int isAbs=0);
void vertexNodalValuesAndDirections(MVertex *A, SVector3* dMax, SVector3* dMin, double* cMax, double* cMin, int isAbs=0);
+ SVector3 vertexNormal (MVertex* A) ;
void writeToMshFile( const std::string & filename);
@@ -224,9 +225,6 @@ public:
void writeToVtkFile( const std::string & filename);
void writeDirectionsToPosFile( const std::string & filename);
-
-
-
};
#endif
diff --git a/Geo/GFaceCompound.cpp b/Geo/GFaceCompound.cpp
index fdd3479dcc9004198b1367e717563ef70a879b7c..c2a5cae78ee2ac02ece336432237e8242c3c8b36 100644
--- a/Geo/GFaceCompound.cpp
+++ b/Geo/GFaceCompound.cpp
@@ -1515,6 +1515,11 @@ void GFaceCompound::parametrize(iterationStep step, typeOfMapping tom) const
else{
#if defined(HAVE_PETSC)
lsys = new linearSystemPETSc<double>;
+ lsys->setParameter("petscOptions",
+ "-pc_type ilu -ksp_rtol 1.e-12 -pc_factor_levels 10");
+
+ // lsys->setParameter("petscOptions",
+ // "-ksp_type preonly -pc_type lu -pc_factor_mat_solver_package umfpack");
#elif defined(HAVE_GMM)
linearSystemGmm<double> *lsysb = new linearSystemGmm<double>;
lsysb->setGmres(1);
diff --git a/Geo/MElement.cpp b/Geo/MElement.cpp
index 533d163e7e1fa182c7c355f954270c14f702eac7..034ff4765c70fcc3c17de8d3f01974704ef6b42f 100644
--- a/Geo/MElement.cpp
+++ b/Geo/MElement.cpp
@@ -1160,9 +1160,10 @@ void MElement::writePOS(FILE *fp, bool printElementary, bool printElementNumber,
}
if(printGamma){
double gamma = gammaShapeMeasure();
- for(int i = 0; i < n; i++){
+ for(int i = 0; i < n; i++){
if(first) first = false; else fprintf(fp, ",");
- fprintf(fp, "%g", gamma);
+ // fprintf(fp, "%g", gamma); FIXME
+ fprintf(fp, "%d", getVertex(i)->getNum());
}
}
if(printRho){
diff --git a/Geo/discreteFace.cpp b/Geo/discreteFace.cpp
index 9221f4785f9eddeeea001365620091a855f9052c..0f54c23b8e551164c62b3cabdf03f7f96f0d4c26 100644
--- a/Geo/discreteFace.cpp
+++ b/Geo/discreteFace.cpp
@@ -18,7 +18,7 @@ discreteFace::discreteFace(GModel *model, int num) : GFace(model, num)
{
Surface *s = Create_Surface(num, MSH_SURF_DISCRETE);
Tree_Add(model->getGEOInternals()->Surfaces, &s);
- meshStatistics.status = GFace::DONE;
+ meshStatistics.status = GFace::DONE;
}
void discreteFace::setBoundEdges(GModel *gm, std::vector<int> tagEdges)
@@ -150,3 +150,6 @@ void discreteFace::writeGEO(FILE *fp)
}
fprintf(fp, "};\n");
}
+
+
+
diff --git a/Mesh/CMakeLists.txt b/Mesh/CMakeLists.txt
index 53c2aaca3b37f43c256d3756d416df3a7ba88a1c..d20011329d7c811b875e48c927777b0e75ec8f08 100644
--- a/Mesh/CMakeLists.txt
+++ b/Mesh/CMakeLists.txt
@@ -4,7 +4,10 @@
# bugs and problems to the public mailing list <gmsh@geuz.org>.
set(SRC
- Generator.cpp
+ meshGRegionBoundaryRecovery.cpp
+ delaunay3d.cpp
+ delaunay_refinement.cpp
+ Generator.cpp
meshGEdge.cpp
meshGEdgeExtruded.cpp
meshGFace.cpp
@@ -12,6 +15,7 @@ set(SRC
meshGFaceTransfinite.cpp meshGFaceExtruded.cpp
meshGFaceBamg.cpp meshGFaceBDS.cpp meshGFaceDelaunayInsertion.cpp
meshGFaceLloyd.cpp meshGFaceOptimize.cpp
+ meshGFaceQuadDiscrete.cpp
meshGFaceQuadrilateralize.cpp
meshGRegion.cpp
meshGRegionDelaunayInsertion.cpp meshGRegionTransfinite.cpp
diff --git a/Mesh/Field.cpp b/Mesh/Field.cpp
index 7813efd189ad6dbe758c8e96962ea54f4a85b8f5..6d61ad2b3e7ee916aa44de68a20152bc16675963 100644
--- a/Mesh/Field.cpp
+++ b/Mesh/Field.cpp
@@ -1795,9 +1795,9 @@ class AttractorField : public Field
void getCoord(double x, double y, double z, double &cx, double &cy, double &cz,
GEntity *ge = NULL)
{
- cx = _xField ? (*_xField)(x, y, z, ge) : x;
- cy = _yField ? (*_yField)(x, y, z, ge) : y;
- cz = _zField ? (*_zField)(x, y, z, ge) : z;
+ cx = _xField ? (*_xField)(x, y, z, ge) : x;
+ cy = _yField ? (*_yField)(x, y, z, ge) : y;
+ cz = _zField ? (*_zField)(x, y, z, ge) : z;
}
std::pair<AttractorInfo,SPoint3> getAttractorInfo() const
{
diff --git a/Mesh/Generator.cpp b/Mesh/Generator.cpp
index a3a2c2c5c14d1b0c7d29936cb5a5f40e581b81a4..57a1f9dd5160f607757fe87209c25308af6a78f8 100644
--- a/Mesh/Generator.cpp
+++ b/Mesh/Generator.cpp
@@ -467,6 +467,242 @@ static void FindConnectedRegions(std::vector<GRegion*> &delaunay,
nbVolumes,connected.size());
}
+template <class ITERATOR>
+void fillv_(std::multimap<MVertex*, MElement*> &vertexToElement,
+ ITERATOR it_beg, ITERATOR it_end)
+{
+ for (ITERATOR IT = it_beg; IT != it_end ; ++IT){
+ MElement *el = *IT;
+ for(int j = 0; j < el->getNumVertices(); j++) {
+ MVertex* e = el->getVertex(j);
+ vertexToElement.insert(std::make_pair(e, el));
+ }
+ }
+}
+
+
+int LaplaceSmoothing (GRegion *gr) {
+
+ std::multimap<MVertex*, MElement*> vertexToElement;
+ fillv_(vertexToElement, (gr)->tetrahedra.begin(), (gr)->tetrahedra.end());
+ fillv_(vertexToElement, (gr)->hexahedra.begin(), (gr)->hexahedra.end());
+ fillv_(vertexToElement, (gr)->prisms.begin(), (gr)->prisms.end());
+ fillv_(vertexToElement, (gr)->pyramids.begin(), (gr)->pyramids.end());
+ int N=0;
+ for (unsigned int i=0; i<gr->mesh_vertices.size();i++){
+ MVertex *v = gr->mesh_vertices[i];
+ std::multimap<MVertex*, MElement*>::iterator it = vertexToElement.lower_bound(v);
+ std::multimap<MVertex*, MElement*>::iterator it_low = it;
+ std::multimap<MVertex*, MElement*>::iterator it_up = vertexToElement.upper_bound(v);
+ double minQual = 1.e22;
+ double volTot = 0.0;
+ double xold=v->x(), yold=v->y(), zold=v->z();
+ SPoint3 pNew (0,0,0);
+ for (; it != it_up; ++it) {
+ minQual= std::min(minQual,it->second->minSICNShapeMeasure());
+ double vol = fabs(it->second->getVolume());
+ SPoint3 cog = it->second->barycenter();
+ pNew += cog * vol;
+ volTot += vol;
+ }
+ pNew *= (1./volTot);
+ v->setXYZ (pNew.x(),pNew.y(),pNew.z());
+ double minQual2 = 1.e22;
+ for (it = it_low; it != it_up; ++it) {
+ minQual2 = std::min(minQual2,it->second->minSICNShapeMeasure());
+ if (minQual2 < minQual){
+ v->setXYZ (xold,yold,zold);
+ break;
+ }
+ }
+ if (minQual < minQual2) N++;
+ }
+ return N;
+}
+
+// JFR : use hex-splitting to resolve non conformity
+// : if howto == 1 ---> split hexes
+// : if howto == 2 ---> create transition elements
+
+/*
+ v3 v2
+ x--------x
+ |\ |
+ | \ |
+ | \ |
+ | \ |
+ x--------x
+ v0 v1
+ */
+
+void buildUniqueFaces (GRegion *gr, std::set<MFace,Less_Face> &bnd)
+{
+ for (unsigned int i=0;i<gr->getNumMeshElements();i++){
+ MElement *e = gr->getMeshElement(i);
+ for(int j=0;j<e->getNumFaces();j++){
+ MFace f = e->getFace(j);
+ std::set<MFace,Less_Face>::iterator it = bnd.find(f);
+ if (it == bnd.end())bnd.insert(f);
+ else bnd.erase(it);
+ }
+ }
+}
+
+bool MakeMeshConformal (GModel *gm, int howto) {
+
+ fs_cont search;
+ buildFaceSearchStructure(gm, search);
+ std::set<MFace,Less_Face> bnd;
+ for (GModel::riter rit = gm->firstRegion(); rit != gm->lastRegion(); ++rit){
+ GRegion *gr = *rit;
+ buildUniqueFaces (gr,bnd);
+ }
+ // bnd2 contains non conforming faces
+
+ std::set<MFace,Less_Face> bnd2;
+ for (std::set<MFace,Less_Face>::iterator itf = bnd.begin(); itf != bnd.end(); ++itf){
+ GFace *gfound = findInFaceSearchStructure (*itf,search);
+ if (!gfound){
+ bnd2.insert(*itf);
+ }
+ }
+ bnd.clear();
+
+ Msg::Info("%d hanging faces",bnd2.size());
+
+ std::set<MFace,Less_Face> ncf;
+ for (std::set<MFace,Less_Face>::iterator itf = bnd2.begin(); itf != bnd2.end(); ++itf){
+ const MFace &f = *itf;
+ if (f.getNumVertices () == 4){ // quad face
+ std::set<MFace,Less_Face>::iterator it1 = bnd2.find (MFace(f.getVertex(0),f.getVertex(1),f.getVertex(2)));
+ std::set<MFace,Less_Face>::iterator it2 = bnd2.find (MFace(f.getVertex(2),f.getVertex(3),f.getVertex(0)));
+ if (it1 != bnd2.end() && it2 != bnd2.end()){
+ ncf.insert(MFace (f.getVertex(1),f.getVertex(2), f.getVertex(3),f.getVertex(0) ));
+ }
+ else {
+ it1 = bnd2.find (MFace(f.getVertex(0),f.getVertex(1),f.getVertex(3)));
+ it2 = bnd2.find (MFace(f.getVertex(3),f.getVertex(1),f.getVertex(2)));
+ if (it1 != bnd2.end() && it2 != bnd2.end()){
+ ncf.insert(MFace (f.getVertex(0),f.getVertex(1), f.getVertex(2),f.getVertex(3) ));
+ }
+ else {
+ Msg::Error ("MakeMeshConformal: wrong mesh topology");
+ return false;
+ }
+ }
+ }
+ }
+ bnd2.clear();
+
+ for (GModel::riter rit = gm->firstRegion(); rit != gm->lastRegion(); ++rit){
+ GRegion *gr = *rit;
+ std::vector<MHexahedron*> remainingHexes;
+ for (unsigned int i=0;i<gr->hexahedra.size();i++){
+ MHexahedron *e = gr->hexahedra[i];
+ std::vector<MFace> faces;
+ for(int j=0;j<e->getNumFaces();j++){
+ MFace f = e->getFace(j);
+ std::set<MFace,Less_Face>::iterator it = ncf.find(f);
+ if (it == ncf.end()){
+ faces.push_back(f);
+ }
+ else {
+ faces.push_back(MFace(it->getVertex(0),it->getVertex(1),it->getVertex(3)));
+ faces.push_back(MFace(it->getVertex(1),it->getVertex(2),it->getVertex(3)));
+ }
+ }
+ // HEX IS ONLY SURROUNED BY COMPATIBLE ELEMENTS
+ if (faces.size() == e->getNumFaces()){
+ remainingHexes.push_back(e);
+ }
+ else {
+ SPoint3 pp = e->barycenter();
+ MVertex *newv = new MVertex (pp.x(),pp.y(),pp.z(),gr);
+ gr->mesh_vertices.push_back(newv);
+ for (unsigned int j=0;j<faces.size();j++){
+ MFace &f = faces[j];
+ if (f.getNumVertices() == 4){
+ gr->pyramids.push_back(new MPyramid (f.getVertex(0), f.getVertex(1), f.getVertex(2), f.getVertex(3), newv));
+ }
+ else {
+ gr->tetrahedra.push_back(new MTetrahedron (f.getVertex(0), f.getVertex(1), f.getVertex(2), newv));
+ }
+ }
+ }
+ }
+ gr->hexahedra = remainingHexes;
+ remainingHexes.clear();
+ std::vector<MPrism*> remainingPrisms;
+ for (unsigned int i=0;i<gr->prisms.size();i++){
+ MPrism *e = gr->prisms[i];
+ std::vector<MFace> faces;
+ for(int j=0;j<e->getNumFaces();j++){
+ MFace f = e->getFace(j);
+ std::set<MFace,Less_Face>::iterator it = ncf.find(f);
+ if (it == ncf.end()){
+ faces.push_back(f);
+ }
+ else {
+ faces.push_back(MFace(it->getVertex(0),it->getVertex(1),it->getVertex(3)));
+ faces.push_back(MFace(it->getVertex(1),it->getVertex(2),it->getVertex(3)));
+ }
+ }
+ // HEX IS ONLY SURROUNED BY COMPATIBLE ELEMENTS
+ if (faces.size() == e->getNumFaces()){
+ remainingPrisms.push_back(e);
+ }
+ else {
+ SPoint3 pp = e->barycenter();
+ MVertex *newv = new MVertex (pp.x(),pp.y(),pp.z(),gr);
+ gr->mesh_vertices.push_back(newv);
+ for (unsigned int j=0;j<faces.size();j++){
+ MFace &f = faces[j];
+ if (f.getNumVertices() == 4){
+ gr->pyramids.push_back(new MPyramid (f.getVertex(0), f.getVertex(1), f.getVertex(2), f.getVertex(3), newv));
+ }
+ else {
+ gr->tetrahedra.push_back(new MTetrahedron (f.getVertex(0), f.getVertex(1), f.getVertex(2), newv));
+ }
+ }
+ }
+ }
+ gr->prisms = remainingPrisms;
+ }
+
+ return true;
+}
+
+void TestConformity (GModel *gm) {
+ fs_cont search;
+ buildFaceSearchStructure(gm, search);
+ int count = 0;
+ for (GModel::riter rit = gm->firstRegion(); rit != gm->lastRegion(); ++rit){
+ GRegion *gr = *rit;
+ std::set<MFace,Less_Face> bnd;
+ double vol = 0.0;
+ for (unsigned int i=0;i<gr->getNumMeshElements();i++){
+ MElement *e = gr->getMeshElement(i);
+ vol += fabs(e->getVolume());
+ for(int j=0;j<e->getNumFaces();j++){
+ MFace f = e->getFace(j);
+ std::set<MFace,Less_Face>::iterator it = bnd.find(f);
+ if (it == bnd.end())bnd.insert(f);
+ else bnd.erase(it);
+ }
+ }
+ printf("vol(%d) = %12.5E\n",gr->tag(),vol);
+
+ for (std::set<MFace,Less_Face>::iterator itf = bnd.begin(); itf != bnd.end(); ++itf){
+ GFace *gfound = findInFaceSearchStructure (*itf,search);
+ if (!gfound){
+ count ++;
+ }
+ }
+ }
+ if (!count)Msg::Info("Mesh Conformity: OK");
+ else Msg::Error ("Mesh is not conforming (%d hanging faces)!",count);
+}
+
static void Mesh3D(GModel *m)
{
if(TooManyElements(m, 3)) return;
@@ -531,6 +767,10 @@ static void Mesh3D(GModel *m)
}
if(treat_region_ok && (CTX::instance()->mesh.recombine3DAll ||
gr->meshAttributes.recombine3D)){
+ if (CTX::instance()->mesh.optimize){
+ optimizeMeshGRegionGmsh opt;
+ opt(gr);
+ }
double a = Cpu();
if (CTX::instance()->mesh.recombine3DLevel >= 0){
Recombinator rec;
@@ -542,21 +782,24 @@ static void Mesh3D(GModel *m)
}
PostOp post;
post.execute(gr,CTX::instance()->mesh.recombine3DLevel, CTX::instance()->mesh.recombine3DConformity); //0: no pyramid, 1: single-step, 2: two-steps (conforming), true: fill non-conformities with trihedra
+
+ // while(LaplaceSmoothing (gr)){
+ // }
nb_elements_recombination += post.get_nb_elements();
nb_hexa_recombination += post.get_nb_hexahedra();
vol_element_recombination += post.get_vol_elements();
vol_hexa_recombination += post.get_vol_hexahedra();
// partial export
- stringstream ss;
- ss << "yamakawa_part_";
- ss << gr->tag();
- ss << ".msh";
- export_gregion_mesh(gr, ss.str().c_str());
+ // stringstream ss;
+ // ss << "yamakawa_part_";
+ // ss << gr->tag();
+ // ss << ".msh";
+ // export_gregion_mesh(gr, ss.str().c_str());
time_recombination += (Cpu() - a);
}
}
}
-
+
if(CTX::instance()->mesh.recombine3DAll){
Msg::Info("RECOMBINATION timing:");
Msg::Info(" --- CUMULATIVE TIME RECOMBINATION : %g s.", time_recombination);
@@ -565,6 +808,8 @@ static void Mesh3D(GModel *m)
nb_hexa_recombination*100./nb_elements_recombination);
Msg::Info(".... Percentage of hexahedra (Vol) : %g",
vol_hexa_recombination*100./vol_element_recombination);
+ // MakeMeshConformal (m, 1);
+ TestConformity(m);
}
// Ensure that all volume Jacobians are positive
diff --git a/Mesh/delaunay3d.cpp b/Mesh/delaunay3d.cpp
new file mode 100644
index 0000000000000000000000000000000000000000..73c393c315620d2866d90e341fc5312350180f5c
--- /dev/null
+++ b/Mesh/delaunay3d.cpp
@@ -0,0 +1,1001 @@
+#ifdef _OPENMP
+#include <omp.h>
+#endif
+
+#include <stdio.h>
+#include <stdlib.h>
+#include <list>
+#include <set>
+#include <stack>
+#include <map>
+#include <vector>
+#include <algorithm>
+#include <math.h>
+#include <sys/time.h>
+#include "SBoundingBox3d.h"
+#include "delaunay3d_private.h"
+#include "delaunay3d.h"
+#include "MVertex.h"
+#include "MEdge.h"
+#include "MTetrahedron.h"
+
+const int MEASURE_BARR = 0;
+
+#ifdef _HAVE_NUMA
+#include <numa.h>
+#endif
+
+struct HilbertSortB
+{
+// The code for generating table transgc
+// from: http://graphics.stanford.edu/~seander/bithacks.html.
+ int transgc[8][3][8];
+ int tsb1mod3[8];
+ int maxDepth;
+ int Limit;
+ SBoundingBox3d bbox ;
+ void ComputeGrayCode(int n);
+ int Split(Vertex** vertices,
+ int arraysize,int GrayCode0,int GrayCode1,
+ double BoundingBoxXmin, double BoundingBoxXmax,
+ double BoundingBoxYmin, double BoundingBoxYmax,
+ double BoundingBoxZmin, double BoundingBoxZmax);
+ void Sort(Vertex** vertices, int arraysize, int e, int d,
+ double BoundingBoxXmin, double BoundingBoxXmax,
+ double BoundingBoxYmin, double BoundingBoxYmax,
+ double BoundingBoxZmin, double BoundingBoxZmax, int depth);
+ HilbertSortB (int m = 0, int l=2) : maxDepth(m),Limit(l)
+ {
+ ComputeGrayCode(3);
+ }
+ void MultiscaleSortHilbert(Vertex** vertices, int arraysize,
+ int threshold, double ratio, int *depth, std::vector<int> &indices)
+ {
+ int middle;
+
+ middle = 0;
+ if (arraysize >= threshold) {
+ (*depth)++;
+ middle = (int)(arraysize * ratio);
+ MultiscaleSortHilbert(vertices, middle, threshold, ratio, depth, indices);
+ }
+ indices.push_back(middle);
+ // printf("chunk starts at %d and size %d\n",middle, arraysize - middle);
+ Sort (&(vertices[middle]),arraysize - middle,0,0,
+ bbox.min().x(),bbox.max().x(),
+ bbox.min().y(),bbox.max().y(),
+ bbox.min().z(),bbox.max().z(),0);
+ }
+ void Apply (std::vector<Vertex*> &v, std::vector<int> &indices)
+ {
+ for (size_t i=0;i<v.size();i++){
+ Vertex *pv = v[i];
+ bbox += SPoint3(pv->x(),pv->y(),pv->z());
+ }
+ bbox *= 1.01;
+ Vertex**pv = &v[0];
+ int depth;
+ // MultiscaleSortHilbert(pv, (int)v.size(), 64, 0.125,&depth);
+ indices.clear();
+ MultiscaleSortHilbert(pv, (int)v.size(), 64, .125,&depth,indices);
+ indices.push_back(v.size());
+ // printf("depth = %d\n",depth);
+ }
+};
+
+void HilbertSortB::ComputeGrayCode(int n)
+{
+ int gc[8], N, mask, travel_bit;
+ int e, d, f, k, g;
+ int v, c;
+ int i;
+
+ N = (n == 2) ? 4 : 8;
+ mask = (n == 2) ? 3 : 7;
+
+ // Generate the Gray code sequence.
+ for (i = 0; i < N; i++) {
+ gc[i] = i ^ (i >> 1);
+ }
+
+ for (e = 0; e < N; e++) {
+ for (d = 0; d < n; d++) {
+ // Calculate the end point (f).
+ f = e ^ (1 << d); // Toggle the d-th bit of 'e'.
+ // travel_bit = 2**p, the bit we want to travel.
+ travel_bit = e ^ f;
+ for (i = 0; i < N; i++) {
+ // // Rotate gc[i] left by (p + 1) % n bits.
+ k = gc[i] * (travel_bit * 2);
+ g = ((k | (k / N)) & mask);
+ // Calculate the permuted Gray code by xor with the start point (e).
+ transgc[e][d][i] = (g ^ e);
+ }
+ // assert(transgc[e][d][0] == e);
+ // assert(transgc[e][d][N - 1] == f);
+ } // d
+ } // e
+
+ // Count the consecutive '1' bits (trailing) on the right.
+ tsb1mod3[0] = 0;
+ for (i = 1; i < N; i++) {
+ v = ~i; // Count the 0s.
+ v = (v ^ (v - 1)) >> 1; // Set v's trailing 0s to 1s and zero rest
+ for (c = 0; v; c++) {
+ v >>= 1;
+ }
+ tsb1mod3[i] = c % n;
+ }
+}
+
+
+int HilbertSortB::Split(Vertex** vertices,
+ int arraysize,int GrayCode0,int GrayCode1,
+ double BoundingBoxXmin, double BoundingBoxXmax,
+ double BoundingBoxYmin, double BoundingBoxYmax,
+ double BoundingBoxZmin, double BoundingBoxZmax)
+{
+ Vertex* swapvert;
+ int axis, d;
+ double split;
+ int i, j;
+
+ // Find the current splitting axis. 'axis' is a value 0, or 1, or 2, which
+ // correspoding to x-, or y- or z-axis.
+ axis = (GrayCode0 ^ GrayCode1) >> 1;
+
+ // Calulate the split position along the axis.
+ if (axis == 0) {
+ split = 0.5 * (BoundingBoxXmin + BoundingBoxXmax);
+ } else if (axis == 1) {
+ split = 0.5 * (BoundingBoxYmin + BoundingBoxYmax);
+ } else { // == 2
+ split = 0.5 * (BoundingBoxZmin + BoundingBoxZmax);
+ }
+
+ // Find the direction (+1 or -1) of the axis. If 'd' is +1, the direction
+ // of the axis is to the positive of the axis, otherwise, it is -1.
+ d = ((GrayCode0 & (1<<axis)) == 0) ? 1 : -1;
+
+
+ // Partition the vertices into left- and right-arrays such that left points
+ // have Hilbert indices lower than the right points.
+ i = 0;
+ j = arraysize - 1;
+
+ // Partition the vertices into left- and right-arrays.
+ if (d > 0) {
+ do {
+ for (; i < arraysize; i++) {
+ if (vertices[i]->point()[axis] >= split) break;
+ }
+ for (; j >= 0; j--) {
+ if (vertices[j]->point()[axis] < split) break;
+ }
+ // Is the partition finished?
+ if (i == (j + 1)) break;
+ // Swap i-th and j-th vertices.
+ swapvert = vertices[i];
+ vertices[i] = vertices[j];
+ vertices[j] = swapvert;
+ // Continue patitioning the array;
+ } while (true);
+ } else {
+ do {
+ for (; i < arraysize; i++) {
+ if (vertices[i]->point()[axis] <= split) break;
+ }
+ for (; j >= 0; j--) {
+ if (vertices[j]->point()[axis] > split) break;
+ }
+ // Is the partition finished?
+ if (i == (j + 1)) break;
+ // Swap i-th and j-th vertices.
+ swapvert = vertices[i];
+ vertices[i] = vertices[j];
+ vertices[j] = swapvert;
+ // Continue patitioning the array;
+ } while (true);
+ }
+
+ return i;
+}
+
+// The sorting code is inspired by Tetgen 1.5
+
+void HilbertSortB::Sort(Vertex** vertices, int arraysize, int e, int d,
+ double BoundingBoxXmin, double BoundingBoxXmax,
+ double BoundingBoxYmin, double BoundingBoxYmax,
+ double BoundingBoxZmin, double BoundingBoxZmax, int depth)
+{
+ double x1, x2, y1, y2, z1, z2;
+ int p[9], w, e_w, d_w, k, ei, di;
+ int n = 3, mask = 7;
+
+ p[0] = 0;
+ p[8] = arraysize;
+
+ p[4] = Split(vertices, p[8], transgc[e][d][3], transgc[e][d][4],
+ BoundingBoxXmin, BoundingBoxXmax, BoundingBoxYmin,
+ BoundingBoxYmax, BoundingBoxZmin, BoundingBoxZmax);
+ p[2] = Split(vertices, p[4], transgc[e][d][1], transgc[e][d][2],
+ BoundingBoxXmin, BoundingBoxXmax, BoundingBoxYmin,
+ BoundingBoxYmax, BoundingBoxZmin, BoundingBoxZmax);
+ p[1] = Split(vertices, p[2], transgc[e][d][0], transgc[e][d][1],
+ BoundingBoxXmin, BoundingBoxXmax, BoundingBoxYmin,
+ BoundingBoxYmax, BoundingBoxZmin, BoundingBoxZmax);
+ p[3] = Split(&(vertices[p[2]]), p[4] - p[2],
+ transgc[e][d][2], transgc[e][d][3],
+ BoundingBoxXmin, BoundingBoxXmax, BoundingBoxYmin,
+ BoundingBoxYmax, BoundingBoxZmin, BoundingBoxZmax) + p[2];
+ p[6] = Split(&(vertices[p[4]]), p[8] - p[4],
+ transgc[e][d][5], transgc[e][d][6],
+ BoundingBoxXmin, BoundingBoxXmax, BoundingBoxYmin,
+ BoundingBoxYmax, BoundingBoxZmin, BoundingBoxZmax) + p[4];
+ p[5] = Split(&(vertices[p[4]]), p[6] - p[4],
+ transgc[e][d][4], transgc[e][d][5],
+ BoundingBoxXmin, BoundingBoxXmax, BoundingBoxYmin,
+ BoundingBoxYmax, BoundingBoxZmin, BoundingBoxZmax) + p[4];
+ p[7] = Split(&(vertices[p[6]]), p[8] - p[6],
+ transgc[e][d][6], transgc[e][d][7],
+ BoundingBoxXmin, BoundingBoxXmax, BoundingBoxYmin,
+ BoundingBoxYmax, BoundingBoxZmin, BoundingBoxZmax) + p[6];
+
+ if (maxDepth > 0) {
+ if ((depth + 1) == maxDepth) {
+ printf("ARGH\n");
+ return;
+ }
+ }
+
+ // Recursively sort the points in sub-boxes.
+
+ for (w = 0; w < 8; w++) {
+ if ((p[w+1] - p[w]) > Limit) {
+ if (w == 0) {
+ e_w = 0;
+ } else {
+ k = 2 * ((w - 1) / 2);
+ e_w = k ^ (k >> 1);
+ }
+ k = e_w;
+ e_w = ((k << (d+1)) & mask) | ((k >> (n-d-1)) & mask);
+ ei = e ^ e_w;
+ if (w == 0) {
+ d_w = 0;
+ } else {
+ d_w = ((w % 2) == 0) ? tsb1mod3[w - 1] : tsb1mod3[w];
+ }
+ di = (d + d_w + 1) % n;
+ if (transgc[e][d][w] & 1) {
+ x1 = 0.5 * (BoundingBoxXmin + BoundingBoxXmax);
+ x2 = BoundingBoxXmax;
+ } else {
+ x1 = BoundingBoxXmin;
+ x2 = 0.5 * (BoundingBoxXmin + BoundingBoxXmax);
+ }
+ if (transgc[e][d][w] & 2) { // y-axis
+ y1 = 0.5 * (BoundingBoxYmin + BoundingBoxYmax);
+ y2 = BoundingBoxYmax;
+ } else {
+ y1 = BoundingBoxYmin;
+ y2 = 0.5 * (BoundingBoxYmin + BoundingBoxYmax);
+ }
+ if (transgc[e][d][w] & 4) { // z-axis
+ z1 = 0.5 * (BoundingBoxZmin + BoundingBoxZmax);
+ z2 = BoundingBoxZmax;
+ } else {
+ z1 = BoundingBoxZmin;
+ z2 = 0.5 * (BoundingBoxZmin + BoundingBoxZmax);
+ }
+ Sort(&(vertices[p[w]]), p[w+1] - p[w], ei, di,
+ x1, x2, y1, y2, z1, z2, depth+1);
+ }
+ }
+}
+
+void SortHilbert (std::vector<Vertex*>& v, std::vector<int> &indices)
+{
+ HilbertSortB h(1000);
+ h.Apply(v, indices);
+}
+
+double walltime( double *t0 )
+{
+#ifdef _OPENMP
+ return omp_get_wtime();
+#else
+ double mic, time;
+ double mega = 0.000001;
+ struct timeval tp;
+ struct timezone tzp;
+ static long base_sec = 0;
+ static long base_usec = 0;
+
+ (void) gettimeofday(&tp,&tzp);
+ if (base_sec == 0)
+ {
+ base_sec = tp.tv_sec;
+ base_usec = tp.tv_usec;
+ }
+
+ time = (double) (tp.tv_sec - base_sec);
+ mic = (double) (tp.tv_usec - base_usec);
+ time = (time + mic * mega) - *t0;
+ return(time);
+#endif
+}
+
+void computeAdjacencies (Tet *t, int iFace, connContainer &faceToTet){
+ conn c (t->getFace(iFace), iFace, t);
+ connContainer::iterator it = std::find(faceToTet.begin(),faceToTet.end(),c);
+ if (it == faceToTet.end()){
+ faceToTet.push_back(c);
+ }
+ else{
+ t->T[iFace] = it->t;
+ it->t->T[it->i] =t;
+ faceToTet.erase(it);
+ }
+}
+
+void delaunayCavity (Tet *t,
+ Tet *prev,
+ Vertex *v,
+ cavityContainer &cavity,
+ connContainer &bnd,
+ int thread, int iPnt){
+
+ t->set(thread, iPnt); // Mark the triangle
+ cavity.push_back(t);
+ for (int iNeigh=0; iNeigh<4 ; iNeigh++){
+ Tet *neigh = t->T[iNeigh];
+ if (neigh == NULL){
+ bnd.push_back(conn(t->getFace(iNeigh),iNeigh,NULL));
+ }
+ else if (neigh == prev){
+ }
+ else if (!neigh->inSphere(v,thread)){
+ // look if v sees face t->getFace(iNeigh)
+ Face f = t->getFace(iNeigh);
+ bnd.push_back(conn(f,iNeigh,neigh));
+ neigh->set(thread, iPnt);
+ }
+ else if (!(neigh->isSet(thread, iPnt))) {
+ delaunayCavity (neigh, t, v, cavity,bnd,thread, iPnt);
+ }
+ }
+}
+
+bool straddling_segment_intersects_triangle(Vertex *p1, Vertex *p2,
+ Vertex *q1, Vertex *q2, Vertex *q3)
+{
+ double s1 = orientationTest(p1, p2, q2, q3);
+ double s2 = orientationTest(p1, p2, q3, q1);
+ double s3 = orientationTest(p1, p2, q1, q2);
+
+ if (s1*s2 < 0.0 || s2 * s3 < 0.0) return false;
+
+ double s4 = orientationTest(q1, q2, q3, p1);
+ double s5 = orientationTest(q3, q2, q1, p2);
+
+ return (s4*s5 >= 0) ;
+}
+
+void print (Vertex *v){
+ printf("%3d ",v->getNum());
+}
+
+void print (Tet *t, bool recur = true){
+ if (recur){
+ printf("PRINT TET\n");
+ }
+ if (!t){
+ printf("(NULL)\n");
+ return;
+ }
+ printf("( ");
+ print(t->V[0]);
+ print(t->V[1]);
+ print(t->V[2]);
+ print(t->V[3]);
+ printf(")\n");
+ if (recur){
+ printf("{");
+ print(t->T[0],false);
+ print(t->T[1],false);
+ print(t->T[2],false);
+ print(t->T[3],false);
+ printf("}\n");
+ }
+}
+
+Tet* walk (Tet *t, Vertex *v, int maxx, double &totSearch, int thread){
+ while (1){
+ totSearch++;
+ if (t == NULL) {
+ return NULL; // we should NEVER return here
+ }
+ if (t->inSphere(v,thread)) {return t;}
+ double _min = 0.0;
+ int NEIGH = -1;
+ for (int iNeigh=0; iNeigh<4; iNeigh++){
+ Face f = t->getFace (iNeigh);
+ double val = robustPredicates::orient3d((double*)f.V[0],
+ (double*)f.V[1],
+ (double*)f.V[2],
+ (double*)v);
+ if (val < _min){
+ NEIGH = iNeigh;
+ _min = val;
+ }
+ }
+ if (NEIGH >= 0){
+ t = t->T[NEIGH];
+ }
+ else {
+ Msg::Fatal("Jump-and-Walk Failed (No neighbor)");
+ }
+ }
+ Msg::Fatal("Jump-and-Walk Failed (No neighbor)");
+}
+
+
+Tet* walk1 (Tet *t, Vertex *v, int maxx, double &totSearch, int thread){
+ int NUMSEARCH = 0;
+ int STARTER = 0;
+
+ maxx = std::max(100,maxx);
+
+ while (1){
+ if (NUMSEARCH++ > 9*maxx) {
+ if (t->T[0] && t->T[0]->T[0]) t = t->T[0]->T[0];
+ else if (t->T[1] && t->T[1]->T[0]) t = t->T[1]->T[0];
+ else if (t->T[2] && t->T[2]->T[0]) t = t->T[2]->T[0];
+ if (NUMSEARCH > 10*maxx) {
+ printf("trying to find a path from %p to %p: datastructure broken (%d searches, maxx %d)\n",v,t,NUMSEARCH,maxx);
+ NUMSEARCH=0;
+ return NULL;
+ }
+ }
+ if (t == NULL) {
+ Msg::Warning("search went through the boundary of the mesh without finding a tet");
+ return NULL; // we should NEVER return here
+ }
+ if (t->inSphere(v,thread)) {totSearch += NUMSEARCH; return t;}
+ Vertex c = t->centroid();
+ Tet *oldt=t;
+ for (int iNeigh=STARTER; iNeigh<(STARTER+4) ; iNeigh++){
+ const int NEIGH = iNeigh %4;
+ Face f = t->getFace (NEIGH);
+ bool inters = straddling_segment_intersects_triangle(&c, v, f.V[0], f.V[1], f.V[2]);
+ if (inters){
+ t = t->T[NEIGH];
+ break;
+ }
+ }
+ if (t==oldt){
+ printf("trying to find a path from %p to %p, ",v,t);
+ printf("strange : no intersection\n");
+ for (int iNeigh=0; iNeigh<20 ; iNeigh++){
+ int rr = rand()%4;
+ if (t->T[rr])t =t->T[rr];
+ }
+ }
+ STARTER++;
+ }
+}
+
+void print (const char *name, std::vector<Tet*> &T){
+ FILE *f = fopen(name,"w");
+ fprintf(f,"View \"\"{\n");
+ for (unsigned int i=0;i<T.size();i++){
+ if (T[i]->V[0]){
+ // double val = robustPredicates::orient3d((double*)T[i]->V[0],(double*)T[i]->V[1],(double*)T[i]->V[2],(double*)T[i]->V[3]);
+
+ fprintf(f,"SS(%g,%g,%g,%g,%g,%g,%g,%g,%g,%g,%g,%g){%g,%g,%g,%g};\n",
+ T[i]->V[0]->x(),T[i]->V[0]->y(),T[i]->V[0]->z(),
+ T[i]->V[1]->x(),T[i]->V[1]->y(),T[i]->V[1]->z(),
+ T[i]->V[2]->x(),T[i]->V[2]->y(),T[i]->V[2]->z(),
+ T[i]->V[3]->x(),T[i]->V[3]->y(),T[i]->V[3]->z(),
+ T[i]->V[0]->lc(),T[i]->V[1]->lc(),T[i]->V[2]->lc(),T[i]->V[3]->lc());
+ }
+ }
+ fprintf(f,"};\n");
+ fclose(f);
+}
+
+void print (std::vector<Vertex*> &V, std::vector<Tet*> &T){
+ std::map<Vertex*,int> nums;
+ for (unsigned int i=0;i<V.size();i++){
+ nums[V[i]] = i;
+ }
+ for (unsigned int i=0;i<T.size();i++){
+ printf("%p\n",T[i]);
+ printf("%d %d %d %d\n",nums[T[i]->V[0]],nums[T[i]->V[1]],nums[T[i]->V[2]],nums[T[i]->V[3]]);
+ printf("%p %p %p %p\n",T[i]->T[0],T[i]->T[1],T[i]->T[2],T[i]->T[3]);
+ }
+}
+
+
+void print (const char *name, std::vector<Vertex*> &T){
+ FILE *f = fopen(name,"w");
+ fprintf(f,"View \"\"{\n");
+ for (unsigned int i=0;i<T.size()-1;i++){
+ fprintf(f,"SL(%g,%g,%g,%g,%g,%g){%d,%d};\n",
+ T[i]->x(),T[i]->y(),T[i]->z(),
+ T[i+1]->x(),T[i+1]->y(),T[i+1]->z(),i,i+1);
+ }
+ fprintf(f,"};\n");
+ fclose(f);
+}
+
+/*
+xxx10000 ok if all bits on my right are 0
+*/
+
+bool canWeProcessCavity (cavityContainer &cavity, unsigned int myThread, unsigned int iPt) {
+ unsigned int cSize = cavity.size();
+ for (unsigned int j=0; j<cSize; j++) {
+ Tet *f = cavity[j];
+ for (unsigned int index = 0; index < myThread; index++) {
+ if(f->_bitset [index]) return false;
+ }
+ if (iPt){
+ if ( f->_bitset[myThread] & ((1 << iPt)-1)) return false;
+ }
+ }
+ return true;
+}
+
+static Tet* stoopidSearch (Tet *t, Vertex *v, int thread){
+ std::stack<Tet*> _stack;
+ _stack.push(t);
+ std::set<Tet*> all;
+ while(!_stack.empty()){
+ t = _stack.top();
+ all.insert(t);
+ _stack.pop();
+ if (t->inSphere(v,thread))return t;
+ for (int i=0;i<4;i++){
+ if (t->T[i]){
+ if (all.find(t->T[i]) == all.end())
+ _stack.push(t->T[i]);
+ }
+ }
+ }
+ return NULL;
+}
+
+
+void delaunayTrgl (const unsigned int numThreads,
+ const unsigned int NPTS_AT_ONCE,
+ unsigned int Npts,
+ std::vector<Tet*> &T,
+ std::vector<Vertex*> assignTo[]){
+ double totSearchGlob=0;
+ double totCavityGlob=0;
+ int counter = 0;
+ int counterMiss = 0;
+
+ double cavitySize [numThreads];
+ int invalidCavities [numThreads];
+ int cashMisses[numThreads];
+ for (unsigned int i=0;i<numThreads;i++)cashMisses[i] = 0;
+
+ unsigned int maxLocSizeK = 0;
+ for (unsigned int i=0;i<numThreads*NPTS_AT_ONCE;i++){
+ unsigned int s = assignTo[i].size();
+ maxLocSizeK = std::max(maxLocSizeK,s);
+ }
+
+#pragma omp parallel num_threads(numThreads)
+ {
+ double totSearch=0;
+ double totCavity=0;
+ cavityContainer cavity[NPTS_AT_ONCE];
+ connContainer bnd[NPTS_AT_ONCE];
+ connContainer faceToTet;
+ Tet* Choice[NPTS_AT_ONCE];
+ for (unsigned int K=0;K<NPTS_AT_ONCE;K++)Choice[K] = T[0];
+
+#ifdef _OPENMP
+ int myThread = omp_get_thread_num();
+#else
+ int myThread = 0;
+#endif
+
+ invalidCavities [myThread] = 0;
+ unsigned int locSize=0;
+ unsigned int locSizeK[NPTS_AT_ONCE];
+ Vertex *allocatedVerts [NPTS_AT_ONCE];
+ for (unsigned int K=0;K<NPTS_AT_ONCE;K++){
+ locSizeK[K] = assignTo[K+myThread*NPTS_AT_ONCE].size();
+ locSize += locSizeK[K];
+#ifdef _HAVE_NUMA
+ allocatedVerts [K] = (Vertex*)numa_alloc_local (locSizeK[K]*sizeof(Vertex));
+#else
+ allocatedVerts [K] = (Vertex*)calloc (locSizeK[K],sizeof(Vertex));
+#endif
+ for (unsigned int iP=0 ; iP < locSizeK[K] ; iP++){
+ allocatedVerts[K][iP] = *(assignTo[K+myThread*NPTS_AT_ONCE][iP]);
+ if (numThreads!=1) allocatedVerts[K][iP]._thread = myThread;
+ }
+ }
+ int allocatedSize = 12*locSize;
+#ifdef _HAVE_NUMA
+ Tet *allocatedTable = (Tet*) numa_alloc_local (allocatedSize*sizeof(Tet));
+#else
+ // Tet *allocatedTable = new Tet[allocatedSize];
+ std::vector<Tet*> allocatedTable;
+#endif
+
+ int newCounter = 0;
+ Vertex *vToAdd[NPTS_AT_ONCE];
+
+#pragma omp barrier
+ ////////////////////////////////////////////////////////////////////////////////////
+ ////////////////////////// M A I N L O O P ///////////////////////////////////////
+ ////////////////////////////////////////////////////////////////////////////////////
+
+ for (unsigned int iPGlob=0 ; iPGlob < maxLocSizeK; iPGlob++){
+#pragma omp barrier
+ cavitySize[myThread] = 0;
+ Tet *t [NPTS_AT_ONCE];
+ // clock_t c1 = clock();
+ for (unsigned int K=0; K< NPTS_AT_ONCE; K++) {
+ vToAdd[K] = iPGlob < locSizeK[K] ? &allocatedVerts[K][iPGlob] : NULL;
+ if(vToAdd[K]){
+ if (!Choice[K]->V[0]){
+ printf("HMMM I KNOW WHAT SHOULD BE DONE\n");
+ if (Choice[K]->T[0] && Choice[K]->T[0]->V[0])Choice[K] = Choice[K]->T[0];
+ else if (Choice[K]->T[1] && Choice[K]->T[1]->V[0])Choice[K] = Choice[K]->T[1];
+ else if (Choice[K]->T[2] && Choice[K]->T[2]->V[0])Choice[K] = Choice[K]->T[2];
+ else if (Choice[K]->T[3] && Choice[K]->T[3]->V[0])Choice[K] = Choice[K]->T[3];
+ else printf("I KNOW WHAT SHOULD BE DONE ARGH\n");
+ }
+ while(1){
+ t[K] = walk ( Choice[K] , vToAdd[K], Npts, totSearch, myThread);
+ if (t[K])break;
+ Tet * newChoice = NULL;
+ int ITT=0;
+ while(1){
+ newChoice = T[rand() % T.size()];
+ if (newChoice->V[0])break;
+ ITT ++;
+ if (ITT > T.size()) {
+ newChoice == NULL;
+ break;
+ }
+ }
+ if (newChoice == NULL)break;
+ Choice[K] = newChoice;
+ }
+ if (!t[K]){
+ Msg::Warning("Jump-and-Walk Failed (non convex domain)");
+ t[K] = stoopidSearch (Choice[K], vToAdd[K],myThread);
+ if (!t[K]){
+ Msg::Fatal("A point is outside the triangulation");
+ throw;
+ }
+ }
+ }
+ }
+ // clock_t c1 = clock();
+ for (unsigned int K=0; K< NPTS_AT_ONCE; K++) {
+ if(vToAdd[K]){
+ cavityContainer &cavityK = cavity[K];
+ connContainer &bndK = bnd[K];
+ for (unsigned int i=0; i<cavityK.size(); i++)cavityK[i]->unset(myThread,K);
+ for (unsigned int i=0; i< bndK.size(); i++)if(bndK[i].t)bndK[i].t->unset(myThread,K);
+ cavityK.clear(); bndK.clear();
+ delaunayCavity(t[K], NULL, vToAdd[K], cavityK, bndK, myThread, K);
+ // verify the cavity
+ for (unsigned int i=0; i< bndK.size(); i++) {
+ double val = robustPredicates::orient3d((double*)bndK[i].f.V[0],
+ (double*)bndK[i].f.V[1],
+ (double*)bndK[i].f.V[2],
+ (double*)vToAdd[K]);
+ if (val <= 0 ) {
+ // char name[245];
+ // sprintf(name,"invalidCavity%d.pos",invalidCavities [myThread]);
+ // print(name,cavityK);
+ // printf("val = %22.15E\n",val);
+ vToAdd[K] = NULL;
+ invalidCavities [myThread]++;
+ break;
+ }
+ }
+ cavitySize[myThread] += (cavityK.size());
+ }
+ }
+
+
+#pragma omp barrier
+
+ bool ok[ NPTS_AT_ONCE];
+ for (unsigned int K=0; K< NPTS_AT_ONCE; K++) {
+ if (!vToAdd[K])ok[K]=false;
+ else ok[K] = canWeProcessCavity (cavity[K], myThread, K);
+ }
+
+ // clock_t ck = clock();
+ // std::set<Tet*> touched;
+ for (unsigned int K=0; K< NPTS_AT_ONCE; K++) {
+ if (ok[K]){
+ cavityContainer &cavityK = cavity[K];
+ connContainer &bndK = bnd[K];
+ faceToTet.clear();
+ const unsigned int cSize = cavityK.size();
+ const unsigned int bSize = bndK.size();
+ totCavity+= cSize;
+ Choice[K] = cavityK[0];
+ for (unsigned int i=0; i<bSize; i++) {
+ // reuse memory slots of invalid elements
+ Tet *t;
+ if (i < cSize) {
+ t = cavityK[i];
+ }
+ else {
+ t = new Tet;
+ allocatedTable.push_back(t);
+ newCounter = allocatedTable.size();
+ }
+ // if (newCounter >= allocatedSize){
+ // Msg::Fatal("JF : write the reallocation now !");
+ // }
+ if (i < cSize && t->V[0]->_thread != myThread)cashMisses[myThread]++;
+ int sign = t->setVertices (bndK[i].f.V[0], bndK[i].f.V[1], bndK[i].f.V[2], vToAdd[K]);
+ if (sign <= 0){
+ // A coplanar hull face. We need to test if this hull face is
+ // Delaunay or not. We test if the adjacent tet (not faked)
+ // of this hull face is Delaunay or not.
+ Msg::Fatal ("JF: Fix Invalid Cavity %d",sign);
+ }
+ Tet *neigh = bndK[i].t;
+ t->T[0] = neigh;
+ t->T[1] = t->T[2] = t->T[3] = NULL;
+ if (neigh){
+ if (neigh->getFace(0) == bndK[i].f)neigh->T[0] = t;
+ else if (neigh->getFace(1) == bndK[i].f)neigh->T[1] = t;
+ else if (neigh->getFace(2) == bndK[i].f)neigh->T[2] = t;
+ else if (neigh->getFace(3) == bndK[i].f)neigh->T[3] = t;
+ else {printf("oops 1\n");throw;}
+ }
+ computeAdjacencies (t,1,faceToTet);
+ computeAdjacencies (t,2,faceToTet);
+ computeAdjacencies (t,3,faceToTet);
+ }
+ for (unsigned int i=bSize; i<cSize; i++) {
+ counterMiss++;
+ cavityK[i]->V[0] = cavityK[i]->V[1] = cavityK[i]->V[2] = cavityK[i]->V[3] = NULL;
+ }
+ }
+ else {
+ counter++;
+ }
+ }
+ }
+ #pragma omp critical
+ {
+ totCavityGlob+= totCavity;
+ totSearchGlob+= totSearch;
+ for (int i=0;i<newCounter;i++){
+ allocatedTable[i]->setAllDeleted ();
+ if (allocatedTable[i]->V[0]){
+ T.push_back(allocatedTable [i]);
+ }
+ }
+ // delete [] allocatedTable;
+ // printf("new counter = %d\n",newCounter);
+ }
+ #pragma omp barrier
+ }
+
+ printf("%d invalid cavities\n",invalidCavities[0]);
+
+#ifdef _VERBOSE
+ double _t2 = walltime(&_t);
+ printf("total time for %d points %12.5E seconds\n",Npts,(double)(_t2-_t1));
+ printf("%8d tets generated (%6f/sec)\n",T.size(),(double) T.size()/ ((double)(_t2-_t1)));
+ printf("average searches per point %12.5E\n",totSearchGlob/Npts);
+ printf("average size for del cavity %12.5E\n",totCavityGlob/Npts);
+ printf("counter = %d\n",counter);
+ printf("counterMiss = %d\n",counterMiss);
+ printf("cash misses: ");
+ for (int i=0;i<numThreads;i++){
+ printf("%4d ",(int)cashMisses[i]);
+ }
+ printf("\n");
+
+#endif
+
+}
+
+
+static void initialCube (std::vector<Vertex*> &v,
+ Vertex *box[8],
+ std::vector<Tet*> &t){
+ SBoundingBox3d bbox ;
+ bbox += SPoint3(0,0,0);
+ bbox += SPoint3(1,1,1);
+ for (size_t i=0;i<v.size();i++){
+ Vertex *pv = v[i];
+ bbox += SPoint3(pv->x(),pv->y(),pv->z());
+ }
+ bbox *= 1.3;
+ box[0] = new Vertex (bbox.min().x(),bbox.min().y(),bbox.min().z(),bbox.diag());
+ box[1] = new Vertex (bbox.max().x(),bbox.min().y(),bbox.min().z(),bbox.diag());
+ box[2] = new Vertex (bbox.max().x(),bbox.max().y(),bbox.min().z(),bbox.diag());
+ box[3] = new Vertex (bbox.min().x(),bbox.max().y(),bbox.min().z(),bbox.diag());
+ box[4] = new Vertex (bbox.min().x(),bbox.min().y(),bbox.max().z(),bbox.diag());
+ box[5] = new Vertex (bbox.max().x(),bbox.min().y(),bbox.max().z(),bbox.diag());
+ box[6] = new Vertex (bbox.max().x(),bbox.max().y(),bbox.max().z(),bbox.diag());
+ box[7] = new Vertex (bbox.min().x(),bbox.max().y(),bbox.max().z(),bbox.diag());
+
+ /* Tet *t0 = new Tet (box[2],box[7],box[3],box[1]);
+ Tet *t1 = new Tet (box[0],box[7],box[1],box[3]);
+ Tet *t2 = new Tet (box[6],box[1],box[7],box[2]);
+ Tet *t3 = new Tet (box[0],box[1],box[7],box[4]);
+ Tet *t4 = new Tet (box[1],box[4],box[5],box[7]);
+ Tet *t5 = new Tet (box[1],box[7],box[5],box[6]);*/
+
+ Tet *t0 = new Tet (box[7],box[2],box[3],box[1]);
+ Tet *t1 = new Tet (box[7],box[0],box[1],box[3]);
+ Tet *t2 = new Tet (box[1],box[6],box[7],box[2]);
+ Tet *t3 = new Tet (box[1],box[0],box[7],box[4]);
+ Tet *t4 = new Tet (box[4],box[1],box[5],box[7]);
+ Tet *t5 = new Tet (box[7],box[1],box[5],box[6]);
+ t.push_back(t0);
+ t.push_back(t1);
+ t.push_back(t2);
+ t.push_back(t3);
+ t.push_back(t4);
+ t.push_back(t5);
+ connContainer ctnr;
+ for (int i=0;i<4;i++){
+ computeAdjacencies (t0,i,ctnr);
+ computeAdjacencies (t1,i,ctnr);
+ computeAdjacencies (t2,i,ctnr);
+ computeAdjacencies (t3,i,ctnr);
+ computeAdjacencies (t4,i,ctnr);
+ computeAdjacencies (t5,i,ctnr);
+ }
+ // printf("%d faces left\n",ctnr.size());
+}
+
+void delaunayTriangulation (const int numThreads,
+ const int nptsatonce,
+ std::vector<Vertex*> &S,
+ std::vector<Tet*> &T,
+ Vertex *box[8]){
+ int N = S.size();
+
+ std::vector<int> indices;
+ // double t = 0;
+ // double t1 = walltime(&t);
+ SortHilbert(S, indices);
+ // double t2 = walltime(&t);
+ // print ("sorted.pos",S);
+ // printf("total time for sorting %d points %12.5E seconds\n",S.size(),(double)(t2-t1));
+
+ if (!T.size()){
+ initialCube (S,box,T);
+ }
+
+ int nbBlocks = nptsatonce * numThreads;
+ // int blockSize = (nbBlocks * (N / nbBlocks))/nbBlocks;
+
+
+ std::vector<Vertex*> assignTo0[1];
+ std::vector<Vertex*> assignTo [nbBlocks];
+
+ for (unsigned int i=1;i<indices.size();i++){
+ int start = indices[i-1];
+ int end = indices[i];
+ int sizePerBlock = (nbBlocks*((end-start) / nbBlocks))/nbBlocks;
+ // printf("sizePerBlock[%3d] = %8d\n",i,sizePerBlock);
+ int currentBlock = 0;
+ int localCounter = 0;
+ // FIXME : something's wring here !!!
+ if (i < -4){
+ for (int jPt=start;jPt<end;jPt++){
+ assignTo0[0].push_back(S[jPt]);
+ S[jPt]->_thread = numThreads*(jPt-start)/(end-start);
+ }
+ }
+ else {
+ for (int jPt=start;jPt<end;jPt++){
+ if (localCounter++ >= sizePerBlock && currentBlock != nbBlocks-1){
+ localCounter = 0;
+ currentBlock++;
+ }
+ assignTo[currentBlock].push_back(S[jPt]);
+ }
+ }
+ }
+
+ S.clear();
+ // double _t = 0;
+ // double _t1 = walltime(&_t);
+ delaunayTrgl(1,1, assignTo0[0].size(),T,assignTo0);
+ // print ("initialTetrahedrization.pos",T);
+ delaunayTrgl(numThreads,nptsatonce, N,T,assignTo);
+ // _t = 0;
+ // double _t2 = walltime(&_t);
+ // printf("WALL CLOCK TIME %12.5E\n",_t2-_t1);
+ print ("finalTetrahedrization.pos",T);
+}
+
+
+void delaunayTriangulation (const int numThreads,
+ const int nptsatonce,
+ std::vector<MVertex*> &S,
+ std::vector<MTetrahedron*> &T){
+ std::vector<MVertex*> _temp;
+ std::vector<Vertex*> _vertices;
+ unsigned int N = S.size();
+ _temp.resize(N+1+8);
+ double maxx=0, maxy=0,maxz=0;
+ for (unsigned int i=0;i<N;i++){
+ MVertex *mv = S[i];
+ maxx = std::max(maxx,fabs(mv->x()));
+ maxy = std::max(maxy,fabs(mv->y()));
+ maxz = std::max(maxz,fabs(mv->z()));
+ }
+ double d = 1*sqrt ( maxx*maxx + maxy*maxy + maxz*maxz );
+
+ for (unsigned int i=0;i<N;i++){
+ MVertex *mv = S[i];
+ // FIXME : should be zero !!!!
+ double dx = d*1.e-16 * (double)rand() / RAND_MAX;
+ double dy = d*1.e-16 * (double)rand() / RAND_MAX;
+ double dz = d*1.e-16 * (double)rand() / RAND_MAX;
+ mv->x() += dx;
+ mv->y() += dy;
+ mv->z() += dz;
+ Vertex *v = new Vertex (mv->x(),mv->y(),mv->z(),1.e22,i+1);
+ _vertices.push_back(v);
+ _temp [v->getNum()] = mv;
+ }
+
+ robustPredicates::exactinit(1,maxx,maxy,maxz);
+
+ std::vector<Tet*> _tets;
+ Vertex *box[8];
+ delaunayTriangulation (numThreads, nptsatonce, _vertices, _tets, box);
+
+ for (int i=0;i<8;i++){
+ Vertex *v = box[i];
+ v->setNum(N+i+1);
+ MVertex *mv = new MVertex (v->x(),v->y(),v->z(),NULL,N+i+1);
+ // printf("%d %g %g %g\n",v->getNum(),v->x(),v->y(),v->z());
+ _temp [v->getNum()] = mv;
+ S.push_back(mv);
+ }
+
+ for (unsigned int i=0;i<_tets.size();i++){
+ Tet *t = _tets[i];
+ if (t->V[0]){
+ if (_tets[i]->V[0]->getNum() &&
+ _tets[i]->V[1]->getNum() &&
+ _tets[i]->V[2]->getNum() &&
+ _tets[i]->V[3]->getNum() ) {
+ MVertex *v1 = _temp[_tets[i]->V[0]->getNum()];
+ MVertex *v2 = _temp[_tets[i]->V[1]->getNum()];
+ MVertex *v3 = _temp[_tets[i]->V[2]->getNum()];
+ MVertex *v4 = _temp[_tets[i]->V[3]->getNum()];
+ MTetrahedron *tr = new MTetrahedron(v1,v2,v3,v4);
+ T.push_back(tr);
+ }
+ else {
+ printf("oops\n", _tets[i]->V[0]->getNum(), _tets[i]->V[1]->getNum() , _tets[i]->V[2]->getNum() , _tets[i]->V[3]->getNum());
+ }
+ }
+ }
+ // clean
+ for (unsigned int i=0;i<_vertices.size();i++)delete _vertices[i];
+ for (unsigned int i=0;i<_tets.size();i++)delete _tets[i];
+}
+
+
diff --git a/Mesh/delaunay3d.h b/Mesh/delaunay3d.h
new file mode 100644
index 0000000000000000000000000000000000000000..91736fa89e89dbcf5b3ce845affacd97a973b663
--- /dev/null
+++ b/Mesh/delaunay3d.h
@@ -0,0 +1,10 @@
+#ifndef _DELAUNAY3D_H_
+#define _DELAUNAY3D_H_
+class MVertex;
+class MTetrahedron;
+void delaunayTriangulation (const int numThreads,
+ const int nptsatonce,
+ std::vector<MVertex*> &S,
+ std::vector<MTetrahedron*> &T);
+
+#endif
diff --git a/Mesh/delaunay3d_private.h b/Mesh/delaunay3d_private.h
new file mode 100644
index 0000000000000000000000000000000000000000..ac91bc1042efe71969d255e18982f16c058e11ee
--- /dev/null
+++ b/Mesh/delaunay3d_private.h
@@ -0,0 +1,242 @@
+#ifndef _DELAUNAY3D_H_
+#define _DELAUNAY3D_H_
+#include <vector>
+#include "SPoint3.h"
+#include <math.h>
+#include "robustPredicates.h"
+
+#ifndef MAX_NUM_THREADS_
+#define MAX_NUM_THREADS_ 1
+#endif
+
+typedef unsigned char CHECKTYPE;
+
+
+struct Vertex {
+private :
+ double _x[3];
+ double _lc;
+ unsigned int _num;
+public :
+ inline unsigned int getNum () const {return _num;}
+ inline void setNum (unsigned int n) {_num=n;}
+ unsigned char _thread;
+ inline double x() const {return _x[0];}
+ inline double y() const {return _x[1];}
+ inline double z() const {return _x[2];}
+ inline double lc() const {return _lc;}
+ inline double &x() {return _x[0];}
+ inline double &y() {return _x[1];}
+ inline double &z() {return _x[2];}
+ inline double &lc() {return _lc;}
+ inline operator double *() { return _x; }
+ Vertex (double X, double Y, double Z, double lc, int num = 0) : _num(num), _thread(0){
+ _x[0]=X; _x[1]=Y;_x[2]=Z; _lc = lc;}
+ Vertex operator + (const Vertex &other){
+ return Vertex (x()+other.x(),y()+other.y(),z()+other.z(),other.lc() + _lc);
+ }
+ Vertex operator * (const double &other){
+ return Vertex (x()*other,y()*other,z()*other,_lc*other);
+ }
+ inline SPoint3 point() const { return SPoint3(x(), y(), z()); }
+};
+
+
+inline double orientationTestFast(double *pa, double *pb, double *pc, double *pd)
+{
+ const double adx = pa[0] - pd[0];
+ const double bdx = pb[0] - pd[0];
+ const double cdx = pc[0] - pd[0];
+ const double ady = pa[1] - pd[1];
+ const double bdy = pb[1] - pd[1];
+ const double cdy = pc[1] - pd[1];
+ const double adz = pa[2] - pd[2];
+ const double bdz = pb[2] - pd[2];
+ const double cdz = pc[2] - pd[2];
+
+ return adx * (bdy * cdz - bdz * cdy)
+ + bdx * (cdy * adz - cdz * ady)
+ + cdx * (ady * bdz - adz * bdy);
+}
+
+inline bool inSphereTest_s (Vertex *va, Vertex *vb, Vertex *vc, Vertex *vd , Vertex *ve){
+ double val = robustPredicates::insphere ((double*)va,(double*)vb,(double*)vc,(double*)vd,(double*)ve);
+ if (val == 0.0){
+ printf("symbolic perturbation needed vol %22.15E\n",orientationTestFast((double*)va,(double*)vb,(double*)vc,(double*)vd));
+ int count;
+ // symbolic perturbation
+ Vertex *pt[5] = {va,vb,vc,vd,ve};
+ int swaps = 0;
+ int n = 5;
+ do {
+ count = 0;
+ n = n - 1;
+ for (int i = 0; i < n; i++) {
+ if (pt[i] > pt[i+1]) {
+ Vertex *swappt = pt[i]; pt[i] = pt[i+1]; pt[i+1] = swappt;
+ count++;
+ }
+ }
+ swaps += count;
+ } while (count > 0);
+ double oriA = robustPredicates::orient3d ((double*)pt[1], (double*)pt[2], (double*)pt[3], (double*)pt[4]);
+ if (oriA != 0.0) {
+ // Flip the sign if there are odd number of swaps.
+ if ((swaps % 2) != 0) oriA = -oriA;
+ val = oriA;
+ }
+ else {
+ double oriB = -robustPredicates::orient3d ((double*)pt[0], (double*)pt[2], (double*)pt[3], (double*)pt[4]);
+ if (oriB == 0.0) {
+ Msg::Fatal("Symbolic perturbation failed in icCircle Predicate");
+ }
+ // Flip the sign if there are odd number of swaps.
+ if ((swaps % 2) != 0) oriB = -oriB;
+ val = oriB;
+ }
+ }
+ return val > 0 ? 1 : 0;
+}
+
+inline double orientationTest (Vertex *va, Vertex *vb, Vertex *vc, Vertex *vd){
+ return robustPredicates::orient3d ((double*)va,(double*)vb,(double*)vc,(double*)vd);
+}
+
+inline double orientationTestFast (Vertex *va, Vertex *vb, Vertex *vc, Vertex *vd){
+ return orientationTestFast ((double*)va,(double*)vb,(double*)vc,(double*)vd);
+}
+
+
+struct Edge {
+ Vertex *first,*second;
+ Edge (Vertex *v1, Vertex *v2) : first(v1), second(v2)
+ {
+ }
+ bool operator == (const Edge &e) const{
+ return e.first == first && e.second == second;
+ }
+ bool operator < (const Edge &e) const{
+ if (first < e.first) return true;
+ if (first > e.first) return false;
+ if (second < e.second) return true;
+ return false;
+ }
+};
+
+//typedef std::pair<Vertex*, Vertex*> Edge;
+
+struct Face {
+ Vertex *v[3];
+ Vertex *V[3];
+ Face (Vertex *v1, Vertex *v2, Vertex *v3){
+ V[0] = v[0] = v1;
+ V[1] = v[1] = v2;
+ V[2] = v[2] = v3;
+#define cswap(a,b) do { if(a > b) { Vertex* tmp = a; a = b; b = tmp; } } while(0)
+ cswap(v[0], v[1]);
+ cswap(v[1], v[2]);
+ cswap(v[0], v[1]);
+ }
+ bool operator == (const Face &other) const {
+ return v[0] == other.v[0] && v[1] == other.v[1] && v[2] == other.v[2];
+ }
+ bool operator < (const Face &other) const {
+ if (v[0] < other.v[0])return true;
+ if (v[0] > other.v[0])return false;
+ if (v[1] < other.v[1])return true;
+ if (v[1] > other.v[1])return false;
+ if (v[2] < other.v[2])return true;
+ return false;
+ }
+};
+
+struct Tet {
+ Tet *T[4];
+ Vertex *V[4];
+ CHECKTYPE _bitset [MAX_NUM_THREADS_];
+ char _modified;
+ Tet () : _modified(true){
+ V[0] = V[1] = V[2] = V[3] = NULL;
+ T[0] = T[1] = T[2] = T[3] = NULL;
+ setAllDeleted();
+ }
+ int setVertices (Vertex *v0, Vertex *v1, Vertex *v2, Vertex *v3){
+ _modified=true;
+ double val = robustPredicates::orient3d((double*)v0,(double*)v1,(double*)v2,(double*)v3);
+ V[0] = v0; V[1] = v1; V[2] = v2; V[3] = v3;
+ if (val > 0){
+ return 1;
+ }
+ else if (val < 0){
+ V[0] = v1; V[1] = v0; V[2] = v2; V[3] = v3;
+ return -1;
+ }
+ else {
+ return 0;
+ }
+ }
+ Tet (Vertex *v0, Vertex *v1, Vertex *v2, Vertex *v3)
+ {
+ setVertices (v0,v1,v2,v3);
+ T[0] = T[1] = T[2] = T[3] = NULL;
+ setAllDeleted();
+ }
+ void setAllDeleted (){
+ for (int i=0;i<MAX_NUM_THREADS_;i++) _bitset [i] = 0x0;
+ }
+ inline void unset ( int thread, int iPnt ){
+ _bitset[thread] &= ~(1 << iPnt);
+ }
+ inline void set ( int thread, int iPnt ){
+ _bitset [thread] |= (1 << iPnt);
+ }
+ inline CHECKTYPE isSet ( int thread, int iPnt ) const{
+ return _bitset[thread] & (1 << iPnt);
+ }
+ inline Face getFace (int k) const {
+ const int fac[4][3] = {{0,1,2},{1,3,2},{2,3,0},{1,0,3}};
+ return Face (V[fac[k][0]],V[fac[k][1]],V[fac[k][2]]);
+ }
+ inline Edge getEdge (int k) const {
+ const int edg[6][2] = {{0,1},{0,2},{0,3},{1,2},{1,3},{2,3}};
+ return Edge (std::min(V[edg[k][0]],V[edg[k][1]]),
+ std::max(V[edg[k][0]],V[edg[k][1]]));
+ }
+ inline bool inSphere (Vertex *vd, int thread) const{
+ return inSphereTest_s (V[0],V[1],V[2],V[3],vd);
+ }
+ Vertex centroid () const {
+ return (*V[0]+*V[1]+*V[2]+*V[3])*0.25;
+ }
+
+};
+
+struct conn {
+ Face f;
+ int i;
+ Tet *t;
+ conn () : f(0,0,0), i(0), t(0){}
+ conn (Face _f, int _i, Tet *_t) : f(_f), i(_i), t(_t)
+ { }
+ inline bool operator == (const conn & c) const{
+ return f == c.f;
+ }
+ inline bool operator < (const conn & c) const{
+ return f < c.f;
+ }
+};
+
+typedef std::vector<Tet*> cavityContainer;
+typedef std::vector<conn> connContainer;
+
+void SortHilbert (std::vector<Vertex*>& v, std::vector<int> &indices);
+void computeAdjacencies (Tet *t, int iFace, connContainer &faceToTet);
+void print (const char *name, std::vector<Tet*> &T);
+void delaunayTrgl (const unsigned int numThreads,
+ const unsigned int NPTS_AT_ONCE,
+ unsigned int Npts,
+ std::vector<Tet*> &T,
+ std::vector<Vertex*> assignTo[]);
+
+
+#endif
diff --git a/Mesh/delaunay_refinement.cpp b/Mesh/delaunay_refinement.cpp
new file mode 100644
index 0000000000000000000000000000000000000000..40d7ac1e5933763cb9a833867383d483fd7a2720
--- /dev/null
+++ b/Mesh/delaunay_refinement.cpp
@@ -0,0 +1,427 @@
+#ifdef _OPENMP
+#include <omp.h>
+#endif
+#include <stack>
+#include <set>
+#include <vector>
+#include <algorithm>
+#include <math.h>
+#include "GmshMessage.h"
+#include "SPoint3.h"
+#include "delaunay3d_private.h"
+#include "delaunay3d.h"
+#include "rtree.h"
+#include "MVertex.h"
+#include "MTetrahedron.h"
+#include "MTriangle.h"
+#include "GRegion.h"
+#include "GFace.h"
+
+typedef std::set< Edge > edgeContainer2;
+
+long int AVGSEARCH;
+
+struct edgeContainer
+{
+ std::set< Edge > _hash2;
+ std::vector<std::vector<Edge> > _hash;
+ edgeContainer (unsigned int N = 1000000) {
+ _hash.resize(N);
+ }
+ bool addNewEdge2 (const Edge &e) {
+ std::set< Edge >::iterator it = _hash2.find(e);
+ if (it != _hash2.end())return false;
+ _hash2.insert(e);
+ return true;
+ }
+ bool isNewEdge (const Edge &e) {
+ size_t h = (size_t) e.first >> 3;
+ std::vector<Edge> &v = _hash[h %_hash.size()];
+ AVGSEARCH+=v.size();
+ for (unsigned int i=0; i< v.size();i++)if (e == v[i]) {return false;}
+ return true;
+ }
+
+ bool addNewEdge (const Edge &e)
+ {
+ size_t h = (size_t) e.first >> 3;
+ std::vector<Edge> &v = _hash[h %_hash.size()];
+ AVGSEARCH+=v.size();
+ for (unsigned int i=0; i< v.size();i++)if (e == v[i]) {return false;}
+ v.push_back(e);
+ return true;
+ }
+};
+
+struct IPT {
+ double _x1,_x2,_x3,_x4;
+ IPT(double x1, double x2, double x3, double x4) :
+ _x1(x1),_x2(x2),_x3(x3),_x4(x4){};
+};
+
+double adaptiveTrapezoidalRule (SPoint3 p1 , SPoint3 p2 ,
+ double lc1 , double lc2 ,
+ double (*f)(const SPoint3 &p, void *),
+ void *data, std::vector< IPT > & _result,
+ double &dl, double epsilon = 1.e-6)
+{
+ std::stack< IPT > _stack;
+ _result.clear();
+ // local parameters on the edge
+ double t1 = 0.0;
+ double t2 = 1.0;
+ // edge vector
+ SPoint3 dp = p2-p1;
+
+ // value of f on both sides
+ double f1 = lc1; //f(p1 + dp*t1,data);
+ double f2 = lc2; //f(p1 + dp*t2,data);
+
+ dl = p1.distance(p2);
+
+ // printf ("edge length %g lc %g %g\n",dl,f1,f2);
+
+ // add one subsegment on the stack
+ IPT top (t1,t2,f1,f2);
+ _stack.push(top);
+ // store total value of the integral
+ double totalValue = 0.0;
+ while(!_stack.empty()){
+ IPT pp = _stack.top();
+ _stack.pop();
+ t1 = pp._x1;
+ t2 = pp._x2;
+ f1 = pp._x3;
+ f2 = pp._x4;
+ // mid point
+ double t12 = 0.5* (t1+t2);
+ SPoint3 pmid = p1 + dp*t12;
+ double fmid = 0.5* (f1+f2);//f(pmid,data);
+ double dt = t2-t1;
+ // average should be compared to mid value
+ double f12 = 0.5* (f1+f2);
+ if (fabs (f12 - 0.5*(f1+f2)) > epsilon*dt ) {
+ IPT left (t1,t12,f1,f12);
+ IPT right (t12,t2,f12,f2);
+ _stack.push(left);
+ _stack.push(right);
+ }
+ else {
+ _result.push_back (pp);
+ // compute the integral using trapezoidal rule on both sides
+ totalValue += 1./((0.5*f12+0.25*(f1+f2)))*dt;
+ }
+ }
+ // take into account the real length of the edge
+ totalValue *= dl;
+ // printf("adimensional length %g\n",totalValue);
+ return totalValue;
+}
+
+
+void saturateEdge (Edge &e, std::vector<Vertex*> &S, double (*f)(const SPoint3 &p, void *), void *data) {
+ std::vector< IPT > _result;
+ double dl;
+ SPoint3 p1 = e.first->point();
+ SPoint3 p2 = e.second->point();
+ double dN = adaptiveTrapezoidalRule (p1,p2,e.first->lc(), e.second->lc(), f,data,_result, dl);
+ const int N = (int) (dN+0.1);
+ double interval = dN/N;
+ double L = 0.0;
+
+ // printf("edge length %g %d intervals of size %g\n",dl,N,interval);
+
+ for (unsigned int i=0; i< _result.size() ; i++) {
+ double t1 = _result[i]._x1;
+ double t2 = _result[i]._x2;
+ double f1 = _result[i]._x3;
+ double f2 = _result[i]._x4;
+ double dL = 2.*(t2-t1) * dl / (f1+f2);
+ // printf("%g --> %g for %g --> %g\n",L,dL,t1,t2);
+ double L0 = L;
+ while (1) {
+ double t = t1 + (L+interval-L0)*(t2-t1) / dL;
+ if (t >= t2) {
+ break;
+ }
+ else {
+ SPoint3 p = p1 * (1.-t) + p2*t;
+ double lc = e.first->lc() * (1.-t) + e.second->lc()*t;
+ const double dx = 1.e-16 * (double) rand() / RAND_MAX;
+ const double dy = 1.e-16 * (double) rand() / RAND_MAX;
+ const double dz = 1.e-16 * (double) rand() / RAND_MAX;
+ S.push_back(new Vertex(p.x()+dx,p.y()+dy,p.z()+dz,lc));
+ L += interval;
+ }
+ }
+ }
+
+ // printf("%d points added\n",S.size());
+
+ // exit(1);
+}
+
+void saturateEdges ( edgeContainer &ec,
+ std::vector<Tet*> &T,
+ int nbThreads,
+ std::vector<Vertex*> &S,
+ double (*f)(const SPoint3 &p, void *), void *data) {
+ AVGSEARCH= 0;
+ int counter = 0;
+ for (int i=0;i<T.size();i++){
+ if (T[i]->V[0] && T[i]->_modified){
+ T[i]->_modified = false;
+ for (int iEdge=0;iEdge<6;iEdge++){
+ Edge ed = T[i]->getEdge(iEdge);
+ bool isNew = ec.addNewEdge(ed);
+ counter++;
+ if (isNew){
+ saturateEdge (ed, S, f, data);
+ }
+ }
+ }
+ }
+ // printf("a total of %d Tets counter %d AVG %d\n",T.size(),counter,AVGSEARCH/counter);
+}
+
+///////////////////////// F I L T E R I N G ////////////////////////////////////////////////////
+
+class volumePointWithExclusionRegion {
+public :
+ Vertex *_v;
+ volumePointWithExclusionRegion (Vertex *v) : _v(v){
+ }
+
+ bool inExclusionZone (volumePointWithExclusionRegion *p)
+ {
+ double d = sqrt ((p->_v->x() - _v->x()) * (p->_v->x() - _v->x())+
+ (p->_v->y() - _v->y()) * (p->_v->y() - _v->y())+
+ (p->_v->z() - _v->z()) * (p->_v->z() - _v->z()));
+ return d < .7*p->_v->lc();//_l;
+ }
+ void minmax (double _min[3], double _max[3]) const
+ {
+ _min[0] = _v->x() - 1.1*_v->lc();
+ _min[1] = _v->y() - 1.1*_v->lc();
+ _min[2] = _v->z() - 1.1*_v->lc();
+ _max[0] = _v->x() + 1.1*_v->lc();
+ _max[1] = _v->y() + 1.1*_v->lc();
+ _max[2] = _v->z() + 1.1*_v->lc();
+ }
+};
+
+struct my_wrapper_3D {
+ bool _tooclose;
+ volumePointWithExclusionRegion *_p;
+ my_wrapper_3D (volumePointWithExclusionRegion *sp) :
+ _tooclose (false), _p(sp) {}
+};
+
+
+bool rtree_callback(volumePointWithExclusionRegion *neighbour,void* point)
+{
+ my_wrapper_3D *w = static_cast<my_wrapper_3D*>(point);
+
+ if (neighbour->inExclusionZone(w->_p)){
+ w->_tooclose = true;
+ return false;
+ }
+ return true;
+}
+
+class vertexFilter {
+ RTree<volumePointWithExclusionRegion*,double,3,double> _rtree;
+public:
+ void insert (Vertex * v) {
+ volumePointWithExclusionRegion *sp = new volumePointWithExclusionRegion (v);
+ double _min[3],_max[3];
+ sp->minmax(_min,_max);
+ _rtree.Insert (_min,_max,sp);
+ }
+
+ bool inExclusionZone (volumePointWithExclusionRegion *p)
+ {
+ my_wrapper_3D w (p);
+ double _min[3] = {p->_v->x()-1.e-8, p->_v->y()-1.e-8, p->_v->z()-1.e-8};
+ double _max[3] = {p->_v->x()+1.e-8, p->_v->y()+1.e-8, p->_v->z()+1.e-8};
+ _rtree.Search(_min,_max,rtree_callback,&w);
+ return w._tooclose;
+ }
+};
+
+void filterVertices (const int numThreads,
+ vertexFilter &_filter,
+ std::vector<Vertex*> &S,
+ std::vector<Vertex*> &add,
+ double (*f)(const SPoint3 &p, void *),
+ void *data) {
+ // printf("before : %d points to add\n",add.size());
+
+ std::vector<Vertex*> _add = add;
+ for (unsigned int i=0;i<S.size();i++){
+ SPoint3 p (S[i]->x(),S[i]->y(),S[i]->z());
+ double l = f (p, data);
+ _filter.insert( S[i] );
+ }
+ add.clear();
+ for (unsigned int i=0;i<_add.size();i++){
+ SPoint3 p (_add[i]->x(),_add[i]->y(),_add[i]->z());
+ volumePointWithExclusionRegion v (_add[i]);
+ if (! _filter. inExclusionZone (&v)){
+ _filter.insert( _add[i]);
+ add.push_back(_add[i]);
+ }
+ else
+ delete _add[i];
+ }
+ // printf("after filter : %d points to add\n",add.size());
+}
+
+
+double _fx (const SPoint3 &p, void *){
+ return fabs(0.0125 + .02*p.x());
+}
+
+
+static void _print (const char *name, std::vector<Vertex*> &T){
+ FILE *f = fopen(name,"w");
+ fprintf(f,"View \"\"{\n");
+ for (unsigned int i=0;i<T.size();i++){
+ fprintf(f,"SP(%g,%g,%g){%d};\n",
+ T[i]->x(),T[i]->y(),T[i]->z(),i);
+ }
+ fprintf(f,"};\n");
+ fclose(f);
+}
+
+typedef std::set<conn> connSet;
+
+void computeAdjacencies (Tet *t, int iFace, connSet &faceToTet){
+ conn c (t->getFace(iFace), iFace, t);
+ connSet::iterator it = faceToTet.find(c);
+ if (it == faceToTet.end()){
+ faceToTet.insert(c);
+ }
+ else{
+ t->T[iFace] = it->t;
+ it->t->T[it->i] =t;
+ faceToTet.erase(it);
+ }
+}
+
+
+void edgeBasedRefinement (const int numThreads,
+ const int nptsatonce,
+ GRegion *gr) {
+
+ // fill up old Datastructures
+
+ std::vector<MTetrahedron*> T = gr->tetrahedra;
+ std::vector<Tet*> _tets;
+ _tets.resize(T.size());
+ std::vector<Vertex *> _vertices;
+ edgeContainer ec;
+
+ {
+ std::set<MVertex *> all;
+ for (int i=0;i<T.size();i++){
+ for (int j=0;j<4;j++){
+ all.insert(T[i]->getVertex(j));
+ }
+ }
+
+ _vertices.resize(all.size());
+ int counter=0;
+ for (std::set<MVertex*>::iterator it = all.begin();it !=all.end(); ++it){
+ MVertex *mv = *it;
+ mv->setIndex(counter);
+ Vertex *v = new Vertex (mv->x(),mv->y(),mv->z(),1.e22, counter);
+ _vertices[counter] = v;
+ counter++;
+ }
+ connSet faceToTet;
+ for (unsigned int i=0;i<T.size();i++){
+ int i0 = T[i]->getVertex(0)->getIndex();
+ int i1 = T[i]->getVertex(1)->getIndex();
+ int i2 = T[i]->getVertex(2)->getIndex();
+ int i3 = T[i]->getVertex(3)->getIndex();
+ Tet *t = new Tet (_vertices[i0],_vertices[i1],_vertices[i2],_vertices[i3]);
+ computeAdjacencies (t,0,faceToTet);
+ computeAdjacencies (t,1,faceToTet);
+ computeAdjacencies (t,2,faceToTet);
+ computeAdjacencies (t,3,faceToTet);
+ _tets[i] = t;
+ }
+ }
+
+ // do not allow to saturate boundary edges
+ {
+ for (unsigned int i=0;i<_tets.size();i++) {
+ for (int j=0;j<4;j++){
+ if (!_tets[i]->T[j]){
+ Face f = _tets[i]->getFace(j);
+ for (int k=0;k<3;k++){
+ Vertex *vi = f.V[k];
+ Vertex *vj = f.V[(k+1)%3];
+ double l = sqrt ((vi->x()-vj->x())*(vi->x()-vj->x())+
+ (vi->y()-vj->y())*(vi->y()-vj->y())+
+ (vi->z()-vj->z())*(vi->z()-vj->z()));
+ ec.addNewEdge(Edge(vi,vj));
+ vi->lc() = std::min (l,vi->lc() );
+ vj->lc() = std::min (l,vj->lc() );
+ }
+ }
+ }
+ }
+ for (unsigned int i=0;i<_tets.size();i++) {
+ for (int j=0;j<6;j++){
+ Edge e = _tets[i]->getEdge(j);
+ if(e.first->lc() == 1.e22){printf("coucou\n");e.first->lc() = e.second->lc();}
+ else if(e.second->lc() == 1.e22){printf("coucou\n");e.second->lc() = e.first->lc();}
+ }
+ }
+ }
+
+ {
+ vertexFilter _filter;
+ int iter = 1;
+
+ Msg::Info("----------------------------------- SATUR FILTR SORTH DELNY TIME TETS");
+
+ clock_t __t__ = clock();
+ while(1){
+ char name[256];
+ // sprintf(name,"beforeRefinement%d.pos",iter);
+ // print (name,_tets);
+ // printf("ITER %3d\n",iter);
+ std::vector<Vertex*> add;
+ clock_t t1 = clock();
+ saturateEdges (ec, _tets, numThreads, add, _fx, NULL);
+ // printf("%d points to add\n",add.size());
+ //sprintf(name,"Points%d.pos",iter);
+ // _print (name,add);
+ clock_t t2 = clock();
+ filterVertices (numThreads, _filter, _vertices, add, _fx, NULL);
+ clock_t t3 = clock();
+ if (add.empty())break;
+ std::vector<int> indices;
+ SortHilbert(add, indices);
+ clock_t t4 = clock();
+ // sprintf(name,"PointsFiltered%d.pos",iter);
+ // _print (name,add);
+ delaunayTrgl (1,1,add.size(), _tets, &add);
+ clock_t t5 = clock();
+ Msg::Info("IT %3d %6d points added, timings %5.2f %5.2f %5.2f %5.2f %5.2f %5d",iter,add.size(),
+ (float)(t2-t1)/CLOCKS_PER_SEC,
+ (float)(t3-t2)/CLOCKS_PER_SEC,
+ (float)(t4-t3)/CLOCKS_PER_SEC,
+ (float)(t5-t4)/CLOCKS_PER_SEC,
+ (float)(t5-__t__)/CLOCKS_PER_SEC,
+ _tets.size());
+ iter++;
+ }
+ print ("afterRefinement.pos",_tets);
+ }
+}
+
+
diff --git a/Mesh/delaunay_refinement.h b/Mesh/delaunay_refinement.h
new file mode 100644
index 0000000000000000000000000000000000000000..a2c0012f1b2130128f946f65e4795ffd6bd84a1b
--- /dev/null
+++ b/Mesh/delaunay_refinement.h
@@ -0,0 +1,13 @@
+#ifndef _DELAUNAY_REFINEMENT_H
+#define _DELAUNAY_REFINEMENT_H
+#include "SPoint3.h"
+#include <vector>
+class Tet;
+class Vertex;
+void delaunayRefinement (const int numThreads,
+ const int nptsatonce,
+ std::vector<Vertex*> &S,
+ std::vector<Tet*> &T,
+ double (*f)(const SPoint3 &p, void *),
+ void *data);
+#endif
diff --git a/Mesh/meshGFace.cpp b/Mesh/meshGFace.cpp
index fdb3717b6d9fbfa4300e7f2b16dd90b3ce013046..40977c6e072ee21bd222c57417e98c6ffe17ea15 100644
--- a/Mesh/meshGFace.cpp
+++ b/Mesh/meshGFace.cpp
@@ -45,6 +45,7 @@
#include "meshGFaceLloyd.h"
#include "boundaryLayersData.h"
#include "filterElements.h"
+#include "meshGFaceQuadDiscrete.h"
// define this to use the old initial delaunay
#define OLD_CODE_DELAUNAY 1
@@ -1525,8 +1526,9 @@ bool meshGenerator(GFace *gf, int RECUR_ITER,
bowyerWatsonParallelogramsConstrained(gf,gf->constr_vertices);
}
else if(gf->getMeshingAlgo() == ALGO_2D_DELAUNAY ||
- gf->getMeshingAlgo() == ALGO_2D_AUTO)
+ gf->getMeshingAlgo() == ALGO_2D_AUTO){
bowyerWatson(gf);
+ }
else {
bowyerWatson(gf,15000);
meshGFaceBamg(gf);
@@ -2350,7 +2352,7 @@ static bool meshGeneratorPeriodic(GFace *gf, bool debug = true)
if((CTX::instance()->mesh.recombineAll || gf->meshAttributes.recombine) &&
!CTX::instance()->mesh.optimizeLloyd && CTX::instance()->mesh.algoRecombine != 2)
- recombineIntoQuads(gf);
+ recombineIntoQuads(gf,true,false);
computeElementShapes(gf, gf->meshStatistics.worst_element_shape,
gf->meshStatistics.average_element_shape,
@@ -2375,7 +2377,6 @@ int debugSurface = -1; //-1;
void meshGFace::operator() (GFace *gf, bool print)
{
-
gf->model()->setCurrentMeshEntity(gf);
if(debugSurface >= 0 && gf->tag() != debugSurface){
@@ -2383,7 +2384,11 @@ void meshGFace::operator() (GFace *gf, bool print)
return;
}
- if(gf->geomType() == GEntity::DiscreteSurface) return;
+ if(gf->geomType() == GEntity::DiscreteSurface) {
+ // meshGFaceQuadDiscrete (gf);
+ // gf->meshStatistics.status = GFace::DONE;
+ return;
+ }
if(gf->geomType() == GEntity::ProjectionFace) return;
if(gf->meshAttributes.method == MESH_NONE) return;
if(CTX::instance()->mesh.meshOnlyVisible && !gf->getVisibility()) return;
diff --git a/Mesh/meshGFaceDelaunayInsertion.h b/Mesh/meshGFaceDelaunayInsertion.h
index 79a8c389af307c7b0225ec359d9249a0baf9f494..7637c3688a592a0f7bbc17354505f18f9d436f62 100644
--- a/Mesh/meshGFaceDelaunayInsertion.h
+++ b/Mesh/meshGFaceDelaunayInsertion.h
@@ -201,5 +201,4 @@ struct edgeXface
}
};
-
#endif
diff --git a/Mesh/meshGFaceOptimize.cpp b/Mesh/meshGFaceOptimize.cpp
index a74eb44f4b71333c5f07ede956f1d3fa93744a6d..2cd48f1b9cf82f9c6dec1e96c77493ddade0d1b1 100644
--- a/Mesh/meshGFaceOptimize.cpp
+++ b/Mesh/meshGFaceOptimize.cpp
@@ -2985,116 +2985,6 @@ int edgeSwapPass(GFace *gf, std::set<MTri3*, compareTri3Ptr> &allTris,
}
-void computeNeighboringTrisOfACavity(const std::vector<MTri3*> &cavity,
- std::vector<MTri3*> &outside)
-{
- outside.clear();
- for(unsigned int i = 0; i < cavity.size(); i++){
- for(int j = 0; j < 3; j++){
- MTri3 * neigh = cavity[i]->getNeigh(j);
- if(neigh){
- bool found = false;
- for(unsigned int k = 0; k < outside.size(); k++){
- if(outside[k] == neigh){
- found = true;
- break;
- }
- }
- if(!found){
- for(unsigned int k = 0; k < cavity.size(); k++){
- if(cavity[k] == neigh){
- found = true;
- }
- }
- }
- if(!found) outside.push_back(neigh);
- }
- }
- }
-}
-
-bool buildVertexCavity(MTri3 *t, int iLocalVertex, MVertex **v1,
- std::vector<MTri3*> &cavity, std::vector<MTri3*> &outside,
- std::vector<MVertex*> &ring)
-{
- cavity.clear();
- ring.clear();
-
- *v1 = t->tri()->getVertex(iLocalVertex);
-
- MVertex *lastinring = t->tri()->getVertex((iLocalVertex + 1) % 3);
- ring.push_back(lastinring);
- cavity.push_back(t);
-
- while (1){
- int iEdge = -1;
- for(int i = 0; i < 3; i++){
- MVertex *v2 = t->tri()->getVertex((i + 2) % 3);
- MVertex *v3 = t->tri()->getVertex(i);
- if((v2 == *v1 && v3 == lastinring) ||
- (v2 == lastinring && v3 == *v1)){
- iEdge = i;
- t = t->getNeigh(i);
- if(t == cavity[0]) {
- computeNeighboringTrisOfACavity(cavity, outside);
- return true;
- }
- if(!t) return false;
- if(t->isDeleted()){
- Msg::Error("Impossible to build vertex cavity");
- return false;
- }
- cavity.push_back(t);
- for(int j = 0; j < 3; j++){
- if(t->tri()->getVertex(j) !=lastinring && t->tri()->getVertex(j) != *v1){
- lastinring = t->tri()->getVertex(j);
- ring.push_back(lastinring);
- j = 100;
- }
- }
- break;
- }
- }
- if(iEdge == -1) {
- Msg::Error("Impossible to build vertex cavity");
- return false;
- }
- }
-}
-
-// split one triangle into 3 triangles
-void _triangleSplit (GFace *gf, MElement *t)
-{
- MVertex *v1 = t->getVertex(0);
- MVertex *v2 = t->getVertex(1);
- MVertex *v3 = t->getVertex(2);
- SPoint2 p1,p2,p3;
-
- reparamMeshEdgeOnFace(v1, v2, gf, p1,p2);
- reparamMeshEdgeOnFace(v1, v3, gf, p1,p3);
-
- SPoint2 np = (p1+p2+p3)*(1./3.0);
-
- GPoint gp = gf->point(np);
-
- MFaceVertex *fv = new MFaceVertex(gp.x(),gp.y(),gp.z(),
- gf,np.x(),np.y());
- std::vector<MTriangle*> triangles2;
- for(unsigned int i = 0; i < gf->triangles.size(); i++){
- if(gf->triangles[i] != t){
- triangles2.push_back(gf->triangles[i]);
- }
- }
- delete t;
- MTriangle *t1 = new MTriangle(v1,v2,fv);
- MTriangle *t2 = new MTriangle(v2,v3,fv);
- MTriangle *t3 = new MTriangle(v3,v1,fv);
- gf->triangles = triangles2;
- gf->triangles.push_back(t1);
- gf->triangles.push_back(t2);
- gf->triangles.push_back(t3);
- gf->mesh_vertices.push_back(fv);
-}
//used for meshGFaceRecombine development
int recombineWithBlossom(GFace *gf, double dx, double dy,
diff --git a/Mesh/meshGRegion.cpp b/Mesh/meshGRegion.cpp
index 4506b336e11e50f553551cb66b4768c3bec21dcf..430a159c6970cdd4df2e1f354b6603f3256befc7 100644
--- a/Mesh/meshGRegion.cpp
+++ b/Mesh/meshGRegion.cpp
@@ -11,7 +11,7 @@
#include "meshGFace.h"
#include "meshGFaceOptimize.h"
#include "boundaryLayersData.h"
-//#include "meshGRegionBoundaryRecovery.h"
+#include "meshGRegionBoundaryRecovery.h"
#include "meshGRegionDelaunayInsertion.h"
#include "GModel.h"
#include "GRegion.h"
@@ -1334,26 +1334,11 @@ void MeshDelaunayVolumeTetgen(std::vector<GRegion*> ®ions)
}
// uncomment this to test the new code
-//##define NEW_CODE
+//#define NEW_CODE
-void MeshDelaunayVolume(std::vector<GRegion*> ®ions)
-{
- if(regions.empty()) return;
-
-#if !defined(NEW_CODE) && defined(HAVE_TETGEN)
- MeshDelaunayVolumeTetgen(regions);
- return;
-#endif
- /*
- splitQuadRecovery sqr;
-
- for(unsigned int i = 0; i < regions.size(); i++)
- Msg::Info("Meshing volume %d (Delaunay)", regions[i]->tag());
-
- // put all the faces in the same model
+static void MeshDelaunayVolumeNewCode(std::vector<GRegion*> ®ions) {
GRegion *gr = regions[0];
std::list<GFace*> faces = gr->faces();
-
std::set<GFace*> allFacesSet;
for(unsigned int i = 0; i < regions.size(); i++){
std::list<GFace*> f = regions[i]->faces();
@@ -1361,11 +1346,9 @@ void MeshDelaunayVolume(std::vector<GRegion*> ®ions)
f = regions[i]->embeddedFaces();
allFacesSet.insert(f.begin(), f.end());
}
+
std::list<GFace*> allFaces;
- for(std::set<GFace*>::iterator it = allFacesSet.begin();
- it != allFacesSet.end(); it++){
- allFaces.push_back(*it);
- }
+ allFaces.insert(allFaces.end(), allFacesSet.begin(), allFacesSet.end());
gr->set(allFaces);
try{
@@ -1388,20 +1371,29 @@ void MeshDelaunayVolume(std::vector<GRegion*> ®ions)
// restore the initial set of faces
gr->set(faces);
- bool _BL = modifyInitialMeshForTakingIntoAccountBoundaryLayers(gr,sqr);
- // now do insertion of points
- if(CTX::instance()->mesh.algo3d == ALGO_3D_FRONTAL_DEL)
- bowyerWatsonFrontalLayers(gr, false);
- else if(CTX::instance()->mesh.algo3d == ALGO_3D_FRONTAL_HEX)
- bowyerWatsonFrontalLayers(gr, true);
- else if(CTX::instance()->mesh.algo3d == ALGO_3D_MMG3D){
- refineMeshMMG(gr);
- }
- else if(!Filler::get_nbr_new_vertices() && !LpSmoother::get_nbr_interior_vertices()){
- insertVerticesInRegion(gr,2000000000,!_BL);
- }
- */
+#if 1
+ void edgeBasedRefinement (const int numThreads,
+ const int nptsatonce,
+ GRegion *gr);
+ insertVerticesInRegion(gr,0);
+ edgeBasedRefinement (1,1,gr);
+#else
+ insertVerticesInRegion(gr,200000000);
+#endif
+}
+
+
+void MeshDelaunayVolume(std::vector<GRegion*> ®ions)
+{
+ if(regions.empty()) return;
+
+#if !defined(NEW_CODE) && defined(HAVE_TETGEN)
+ MeshDelaunayVolumeTetgen(regions);
+#else
+ MeshDelaunayVolumeNewCode(regions);
+#endif
+ return;
}
#if defined(HAVE_NETGEN)
diff --git a/Mesh/meshGRegion19036.cpp b/Mesh/meshGRegion19036.cpp
new file mode 100644
index 0000000000000000000000000000000000000000..24327daca32d81c8fda48d183c8225d5921e077a
--- /dev/null
+++ b/Mesh/meshGRegion19036.cpp
@@ -0,0 +1,1856 @@
+// Gmsh - Copyright (C) 1997-2014 C. Geuzaine, J.-F. Remacle
+//
+// See the LICENSE.txt file for license information. Please report all
+// bugs and problems to the public mailing list <gmsh@geuz.org>.
+
+#include <stdlib.h>
+#include <vector>
+#include "GmshConfig.h"
+#include "GmshMessage.h"
+#include "meshGRegion.h"
+#include "meshGFace.h"
+#include "meshGFaceOptimize.h"
+#include "boundaryLayersData.h"
+#include "meshGRegionBoundaryRecovery.h"
+#include "meshGRegionDelaunayInsertion.h"
+#include "GModel.h"
+#include "GRegion.h"
+#include "GFace.h"
+#include "GEdge.h"
+#include "gmshRegion.h"
+#include "MLine.h"
+#include "MTriangle.h"
+#include "MQuadrangle.h"
+#include "MTetrahedron.h"
+#include "MPyramid.h"
+#include "MPrism.h"
+#include "MHexahedron.h"
+#include "BDS.h"
+#include "OS.h"
+#include "Context.h"
+#include "GFaceCompound.h"
+#include "meshGRegionMMG3D.h"
+#include "simple3D.h"
+#include "Levy3D.h"
+#include "directions3D.h"
+#include "discreteFace.h"
+#include "filterElements.h"
+
+#if defined(HAVE_ANN)
+#include "ANN/ANN.h"
+#endif
+
+// hybrid mesh recovery structure
+class splitQuadRecovery {
+ std::multimap<GEntity*, std::pair<MVertex*,MFace> >_data;
+ bool _empty;
+ public :
+ std::map<MFace, MVertex*, Less_Face>_invmap;
+ std::set<MFace, Less_Face>_toDelete;
+ splitQuadRecovery() : _empty(true) {}
+ bool empty(){ return _empty; }
+ void setEmpty(bool val){ _empty = val; }
+ void add (const MFace &f, MVertex *v, GEntity*ge)
+ {
+ _data.insert(std::make_pair(ge, std::make_pair(v,f)));
+ }
+ int buildPyramids(GModel *gm)
+ {
+ if(empty()) return 0;
+ int NBPY = 0;
+ for (GModel::fiter it = gm->firstFace(); it != gm->lastFace(); ++it){
+ std::set<MFace, Less_Face> allFaces;
+ for (unsigned int i = 0; i < (*it)->triangles.size(); i++){
+ allFaces.insert ((*it)->triangles[i]->getFace(0));
+ delete (*it)->triangles[i];
+ }
+ (*it)->triangles.clear();
+ for (std::multimap<GEntity*, std::pair<MVertex*,MFace> >::iterator it2 =
+ _data.lower_bound(*it); it2 != _data.upper_bound(*it) ; ++it2){
+ const MFace &f = it2->second.second;
+ MVertex *v = it2->second.first;
+ v->onWhat()->mesh_vertices.erase(std::find(v->onWhat()->mesh_vertices.begin(),
+ v->onWhat()->mesh_vertices.end(), v));
+ std::set<MFace, Less_Face>::iterator itf0 = allFaces.find(MFace(f.getVertex(0),
+ f.getVertex(1),v));
+ std::set<MFace, Less_Face>::iterator itf1 = allFaces.find(MFace(f.getVertex(1),
+ f.getVertex(2),v));
+ std::set<MFace, Less_Face>::iterator itf2 = allFaces.find(MFace(f.getVertex(2),
+ f.getVertex(3),v));
+ std::set<MFace, Less_Face>::iterator itf3 = allFaces.find(MFace(f.getVertex(3),
+ f.getVertex(0),v));
+ if (itf0 != allFaces.end() && itf1 != allFaces.end() &&
+ itf2 != allFaces.end() && itf3 != allFaces.end()){
+ (*it)->quadrangles.push_back(new MQuadrangle(f.getVertex(0), f.getVertex(1),
+ f.getVertex(2), f.getVertex(3)));
+ allFaces.erase(*itf0);
+ allFaces.erase(*itf1);
+ allFaces.erase(*itf2);
+ allFaces.erase(*itf3);
+ // printf("some pyramids should be created %d regions\n", (*it)->numRegions());
+ for (int iReg = 0; iReg < (*it)->numRegions(); iReg++){
+ if (iReg == 1) {
+ Msg::Error("Cannot build pyramids on non manifold faces");
+ v = new MVertex(v->x(), v->y(), v->z(), (*it)->getRegion(iReg));
+ }
+ else
+ v->setEntity ((*it)->getRegion(iReg));
+ // A quad face connected to an hex or a primsm --> leave the quad face as is
+ if (_toDelete.find(f) == _toDelete.end()){
+ (*it)->getRegion(iReg)->pyramids.push_back
+ (new MPyramid(f.getVertex(0), f.getVertex(1), f.getVertex(2), f.getVertex(3), v));
+ (*it)->getRegion(iReg)->mesh_vertices.push_back(v);
+ NBPY++;
+ }
+ else {
+ delete v;
+ }
+ }
+ }
+ }
+ for (std::set<MFace, Less_Face>::iterator itf = allFaces.begin();
+ itf != allFaces.end(); ++itf){
+ (*it)->triangles.push_back
+ (new MTriangle(itf->getVertex(0), itf->getVertex(1), itf->getVertex(2)));
+ }
+ }
+ return NBPY;
+ }
+};
+
+void printVoronoi(GRegion *gr, std::set<SPoint3> &candidates)
+{
+ std::vector<MTetrahedron*> elements = gr->tetrahedra;
+ std::list<GFace*> allFaces = gr->faces();
+
+ //building maps
+ std::map<MVertex*, std::set<MTetrahedron*> > node2Tet;
+ std::map<MFace, std::vector<MTetrahedron*> , Less_Face> face2Tet;
+ for(unsigned int i = 0; i < elements.size(); i++){
+ MTetrahedron *ele = elements[i];
+ for (int j=0; j<4; j++){
+ MVertex *v = ele->getVertex(j);
+ std::map<MVertex*, std::set<MTetrahedron*> >::iterator itmap = node2Tet.find(v);
+ if (itmap == node2Tet.end()){
+ std::set<MTetrahedron*> oneTet;
+ oneTet.insert(ele);
+ node2Tet.insert(std::make_pair(v, oneTet));
+ }
+ else{
+ std::set<MTetrahedron*> allTets = itmap->second;
+ allTets.insert(allTets.begin(), ele);
+ itmap->second = allTets;
+ }
+ }
+ for (int j = 0; j < 4; j++){
+ MFace f = ele->getFace(j);
+ std::map<MFace, std::vector<MTetrahedron*>, Less_Face >::iterator itmap =
+ face2Tet.find(f);
+ if (itmap == face2Tet.end()){
+ std::vector<MTetrahedron*> oneTet;
+ oneTet.push_back(ele);
+ face2Tet.insert(std::make_pair(f, oneTet));
+ }
+ else{
+ std::vector<MTetrahedron*> allTets = itmap->second;
+ allTets.insert(allTets.begin(), ele);
+ itmap->second = allTets;
+ }
+ }
+ }
+
+ //print voronoi poles
+ FILE *outfile;
+ //smooth_normals *snorm = gr->model()->normals;
+ outfile = Fopen("nodes.pos", "w");
+ fprintf(outfile, "View \"Voronoi poles\" {\n");
+ std::map<MVertex*, std::set<MTetrahedron*> >::iterator itmap = node2Tet.begin();
+ for(; itmap != node2Tet.end(); itmap++){
+ //MVertex *v = itmap->first;
+ std::set<MTetrahedron*> allTets = itmap->second;
+ std::set<MTetrahedron*>::const_iterator it = allTets.begin();
+ MTetrahedron *poleTet = *it;
+ double maxRadius = poleTet->getCircumRadius();
+ for(; it != allTets.end(); it++){
+ double radius = (*it)->getCircumRadius();
+ if (radius > maxRadius){
+ maxRadius = radius;
+ poleTet = *it;
+ }
+ }
+ //if (v->onWhat()->dim() == 2 ){
+ SPoint3 pc = poleTet->circumcenter();
+ //double nx,ny,nz;
+ // SVector3 vN = snorm->get(v->x(), v->y(), v->z(), nx,ny,nz);
+ // SVector3 pcv(pc.x()-nx, pc.y()-ny,pc.z()-nz);
+ // printf("nx=%g ny=%g nz=%g dot=%g \n", nx,ny,nz, dot(vN, pcv));
+ // if ( dot(vN, pcv) > 0.0 )
+ double x[3] = {pc.x(), pc.y(), pc.z()};
+ double uvw[3];
+ poleTet->xyz2uvw(x, uvw);
+ //bool inside = poleTet->isInside(uvw[0], uvw[1], uvw[2]);
+ //if (inside){
+ fprintf(outfile,"SP(%g,%g,%g) {%g};\n",
+ pc.x(), pc.y(), pc.z(), maxRadius);
+ candidates.insert(pc);
+ //}
+ //}
+ }
+ fprintf(outfile,"};\n");
+ fclose(outfile);
+
+ //print scalar lines
+ FILE *outfile2;
+ outfile2 = Fopen("edges.pos", "w");
+ fprintf(outfile2, "View \"Voronoi edges\" {\n");
+ std::map<MFace, std::vector<MTetrahedron*> , Less_Face >::iterator itmap2 = face2Tet.begin();
+ for(; itmap2 != face2Tet.end(); itmap2++){
+ std::vector<MTetrahedron*> allTets = itmap2->second;
+ if (allTets.size() != 2 ) continue;
+ SPoint3 pc1 = allTets[0]->circumcenter();
+ SPoint3 pc2 = allTets[1]->circumcenter();
+ //std::set<SPoint3>::const_iterator it1 = candidates.find(pc1);
+ //std::set<SPoint3>::const_iterator it2 = candidates.find(pc2);
+ //if( it1 != candidates.end() || it2 != candidates.end())
+ fprintf(outfile2,"SL(%g,%g,%g,%g,%g,%g) {%g,%g};\n",
+ pc1.x(), pc1.y(), pc1.z(), pc2.x(), pc2.y(), pc2.z(),
+ allTets[0]->getCircumRadius(),allTets[1]->getCircumRadius());
+ }
+ fprintf(outfile2,"};\n");
+ fclose(outfile2);
+
+}
+
+
+void getBoundingInfoAndSplitQuads(GRegion *gr,
+ std::map<MFace,GEntity*,Less_Face> &allBoundingFaces,
+ std::set<MVertex*> &allBoundingVertices,
+ splitQuadRecovery &sqr)
+{
+ std::map<MFace, GEntity*, Less_Face> allBoundingFaces_temp;
+
+ // Get all the faces that are on the boundary
+ std::list<GFace*> faces = gr->faces();
+ std::list<GFace*>::iterator it = faces.begin();
+ while (it != faces.end()){
+ GFace *gf = (*it);
+ for(unsigned int i = 0; i < gf->getNumMeshElements(); i++){
+ allBoundingFaces_temp[gf->getMeshElement(i)->getFace(0)] = gf;
+ }
+ ++it;
+ }
+
+ // if some elements pre-exist in the mesh, then use the internal faces of
+ // those
+
+ for (unsigned int i=0;i<gr->getNumMeshElements();i++){
+ MElement *e = gr->getMeshElement(i);
+ for (int j = 0; j < e->getNumFaces(); j++){
+ std::map<MFace, GEntity*, Less_Face>::iterator it = allBoundingFaces_temp.find(e->getFace(j));
+ if (it == allBoundingFaces_temp.end()) allBoundingFaces_temp[e->getFace(j)] = gr;
+ else allBoundingFaces_temp.erase(it);
+ }
+ }
+
+ std::map<MFace, GEntity*, Less_Face>::iterator itx = allBoundingFaces_temp.begin();
+ for (; itx != allBoundingFaces_temp.end();++itx){
+ const MFace &f = itx->first;
+ // split the quad face into 4 triangular faces
+ if (f.getNumVertices() == 4){
+ sqr.setEmpty(false);
+ MVertex *v0 = f.getVertex(0);
+ MVertex *v1 = f.getVertex(1);
+ MVertex *v2 = f.getVertex(2);
+ MVertex *v3 = f.getVertex(3);
+ MVertex *newv = new MVertex ((v0->x() + v1->x() + v2->x() + v3->x())*0.25,
+ (v0->y() + v1->y() + v2->y() + v3->y())*0.25,
+ (v0->z() + v1->z() + v2->z() + v3->z())*0.25,itx->second);
+ sqr.add(f,newv,itx->second);
+ sqr._invmap[f] = newv;
+ allBoundingFaces[MFace(v0,v1,newv)] = itx->second;
+ allBoundingFaces[MFace(v1,v2,newv)] = itx->second;
+ allBoundingFaces[MFace(v2,v3,newv)] = itx->second;
+ allBoundingFaces[MFace(v3,v0,newv)] = itx->second;
+ itx->second->mesh_vertices.push_back(newv);
+ allBoundingVertices.insert(v0);
+ allBoundingVertices.insert(v1);
+ allBoundingVertices.insert(v2);
+ allBoundingVertices.insert(v3);
+ allBoundingVertices.insert(newv);
+ }
+ else{
+ allBoundingFaces[f] = itx->second;
+ allBoundingVertices.insert(f.getVertex(0));
+ allBoundingVertices.insert(f.getVertex(1));
+ allBoundingVertices.insert(f.getVertex(2));
+ }
+ }
+}
+
+#if defined(HAVE_TETGEN)
+
+#include "tetgen.h"
+
+void buildTetgenStructure(GRegion *gr, tetgenio &in, std::vector<MVertex*> &numberedV,
+ splitQuadRecovery &sqr)
+{
+ std::set<MVertex*> allBoundingVertices;
+ std::map<MFace,GEntity*,Less_Face> allBoundingFaces;
+ getBoundingInfoAndSplitQuads(gr, allBoundingFaces, allBoundingVertices, sqr);
+
+ //// TEST
+ {
+ std::vector<MVertex*>ALL;
+ std::vector<MTetrahedron*> MESH;
+ ALL.insert(ALL.begin(),allBoundingVertices.begin(),allBoundingVertices.end());
+ // delaunayMeshIn3D (ALL,MESH);
+ // exit(1);
+ }
+
+ in.mesh_dim = 3;
+ in.firstnumber = 1;
+ in.numberofpoints = allBoundingVertices.size() + Filler::get_nbr_new_vertices() +
+ LpSmoother::get_nbr_interior_vertices();
+ in.pointlist = new REAL[in.numberofpoints * 3];
+ in.pointmarkerlist = NULL;
+
+ std::set<MVertex*>::iterator itv = allBoundingVertices.begin();
+ int I = 1;
+ while(itv != allBoundingVertices.end()){
+ in.pointlist[(I - 1) * 3 + 0] = (*itv)->x();
+ in.pointlist[(I - 1) * 3 + 1] = (*itv)->y();
+ in.pointlist[(I - 1) * 3 + 2] = (*itv)->z();
+ (*itv)->setIndex(I++);
+ numberedV.push_back(*itv);
+ ++itv;
+ }
+
+ for(int i=0;i<Filler::get_nbr_new_vertices();i++){
+ MVertex* v;
+ v = Filler::get_new_vertex(i);
+ in.pointlist[(I - 1) * 3 + 0] = v->x();
+ in.pointlist[(I - 1) * 3 + 1] = v->y();
+ in.pointlist[(I - 1) * 3 + 2] = v->z();
+ I++;
+ }
+
+ for(int i=0;i<LpSmoother::get_nbr_interior_vertices();i++){
+ MVertex* v;
+ v = LpSmoother::get_interior_vertex(i);
+ in.pointlist[(I - 1) * 3 + 0] = v->x();
+ in.pointlist[(I - 1) * 3 + 1] = v->y();
+ in.pointlist[(I - 1) * 3 + 2] = v->z();
+ I++;
+ }
+
+ in.numberoffacets = allBoundingFaces.size();
+ in.facetlist = new tetgenio::facet[in.numberoffacets];
+ in.facetmarkerlist = new int[in.numberoffacets];
+
+ I = 0;
+ std::map<MFace,GEntity*,Less_Face>::iterator it = allBoundingFaces.begin();
+ for (; it != allBoundingFaces.end();++it){
+ const MFace &fac = it->first;
+ tetgenio::facet *f = &in.facetlist[I];
+ tetgenio::init(f);
+ f->numberofholes = 0;
+ f->numberofpolygons = 1;
+ f->polygonlist = new tetgenio::polygon[f->numberofpolygons];
+ tetgenio::polygon *p = &f->polygonlist[0];
+ tetgenio::init(p);
+ p->numberofvertices = 3;
+ p->vertexlist = new int[p->numberofvertices];
+ p->vertexlist[0] = fac.getVertex(0)->getIndex();
+ p->vertexlist[1] = fac.getVertex(1)->getIndex();
+ p->vertexlist[2] = fac.getVertex(2)->getIndex();
+ in.facetmarkerlist[I] = (it->second->dim() == 3) ? -it->second->tag() : it->second->tag();
+ ++I;
+ }
+}
+
+void TransferTetgenMesh(GRegion *gr, tetgenio &in, tetgenio &out,
+ std::vector<MVertex*> &numberedV)
+{
+ // improvement has to be done here : tetgen splits some of the existing edges
+ // of the mesh. If those edges are classified on some model faces, new points
+ // SHOULD be classified on the model face and get the right set of parametric
+ // coordinates.
+
+ const int initialSize = (int)numberedV.size();
+
+ for(int i = numberedV.size(); i < out.numberofpoints; i++){
+ MVertex *v = new MVertex(out.pointlist[i * 3 + 0],
+ out.pointlist[i * 3 + 1],
+ out.pointlist[i * 3 + 2], gr);
+ gr->mesh_vertices.push_back(v);
+ numberedV.push_back(v);
+ }
+
+ Msg::Info("%d points %d edges and %d faces in the initial mesh",
+ out.numberofpoints, out.numberofedges, out.numberoftrifaces);
+
+ // Tetgen modifies both surface & edge mesh, so we need to re-create
+ // everything
+
+ gr->model()->destroyMeshCaches();
+ std::list<GFace*> faces = gr->faces();
+ for(std::list<GFace*>::iterator it = faces.begin(); it != faces.end(); it++){
+ GFace *gf = (*it);
+ for(unsigned int i = 0; i < gf->triangles.size(); i++)
+ delete gf->triangles[i];
+ for(unsigned int i = 0; i < gf->quadrangles.size(); i++)
+ delete gf->quadrangles[i];
+ gf->triangles.clear();
+ gf->quadrangles.clear();
+ gf->deleteVertexArrays();
+ }
+
+ // TODO: re-create 1D mesh
+ /*for(int i = 0; i < out.numberofedges; i++){
+ MVertex *v[2];
+ v[0] = numberedV[out.edgelist[i * 2 + 0] - 1];
+ v[1] = numberedV[out.edgelist[i * 2 + 1] - 1];
+ //implement here the 1D mesh ...
+ }*/
+
+ bool needParam = (CTX::instance()->mesh.order > 1 &&
+ CTX::instance()->mesh.secondOrderExperimental);
+ // re-create the triangular meshes FIXME: this can lead to hanging nodes for
+ // non manifold geometries (single surface connected to volume)
+ for(int i = 0; i < out.numberoftrifaces; i++){
+ // printf("%d %d %d\n",i,out.numberoftrifaces,needParam);
+
+ if (out.trifacemarkerlist[i] > 0) {
+ MVertex *v[3];
+ v[0] = numberedV[out.trifacelist[i * 3 + 0] - 1];
+ v[1] = numberedV[out.trifacelist[i * 3 + 1] - 1];
+ v[2] = numberedV[out.trifacelist[i * 3 + 2] - 1];
+ // do not recover prismatic faces !!!
+ GFace *gf = gr->model()->getFaceByTag(out.trifacemarkerlist[i]);
+
+ double guess[2] = {0, 0};
+ if (needParam) {
+ int Count = 0;
+ for(int j = 0; j < 3; j++){
+ if(!v[j]->onWhat()){
+ Msg::Error("Uncategorized vertex %d", v[j]->getNum());
+ }
+ else if(v[j]->onWhat()->dim() == 2){
+ double uu,vv;
+ v[j]->getParameter(0, uu);
+ v[j]->getParameter(1, vv);
+ guess[0] += uu;
+ guess[1] += vv;
+ Count++;
+ }
+ else if(v[j]->onWhat()->dim() == 1){
+ GEdge *ge = (GEdge*)v[j]->onWhat();
+ double UU;
+ v[j]->getParameter(0, UU);
+ SPoint2 param;
+ param = ge->reparamOnFace(gf, UU, 1);
+ guess[0] += param.x();
+ guess[1] += param.y();
+ Count++;
+ }
+ else if(v[j]->onWhat()->dim() == 0){
+ SPoint2 param;
+ GVertex *gv = (GVertex*)v[j]->onWhat();
+ param = gv->reparamOnFace(gf,1);
+ guess[0] += param.x();
+ guess[1] += param.y();
+ Count++;
+ }
+ }
+ if(Count != 0){
+ guess[0] /= Count;
+ guess[1] /= Count;
+ }
+ }
+
+ for(int j = 0; j < 3; j++){
+ if (out.trifacelist[i * 3 + j] - 1 >= initialSize){
+ printf("aaaaaaaaaaaaaaargh\n");
+ // if(v[j]->onWhat()->dim() == 3){
+ v[j]->onWhat()->mesh_vertices.erase
+ (std::find(v[j]->onWhat()->mesh_vertices.begin(),
+ v[j]->onWhat()->mesh_vertices.end(),
+ v[j]));
+ MVertex *v1b;
+ if(needParam){
+ // parametric coordinates should be set for the vertex ! (this is
+ // not 100 % safe yet, so we reserve that operation for high order
+ // meshes)
+ GPoint gp = gf->closestPoint(SPoint3(v[j]->x(), v[j]->y(), v[j]->z()), guess);
+ if(gp.g()){
+ v1b = new MFaceVertex(gp.x(), gp.y(), gp.z(), gf, gp.u(), gp.v());
+ }
+ else{
+ v1b = new MVertex(v[j]->x(), v[j]->y(), v[j]->z(), gf);
+ Msg::Warning("The point was not projected back to the surface (%g %g %g)",
+ v[j]->x(), v[j]->y(), v[j]->z());
+ }
+ }
+ else{
+ v1b = new MVertex(v[j]->x(), v[j]->y(), v[j]->z(), gf);
+ }
+
+ gf->mesh_vertices.push_back(v1b);
+ numberedV[out.trifacelist[i * 3 + j] - 1] = v1b;
+ delete v[j];
+ v[j] = v1b;
+ }
+ }
+ // printf("new triangle %d %d %d\n",v[0]->onWhat()->dim(), v[1]->onWhat()->dim(), v[2]->onWhat()->dim());
+ MTriangle *t = new MTriangle(v[0], v[1], v[2]);
+ gf->triangles.push_back(t);
+ }// do not do anything with prismatic faces
+ }
+
+
+ for(int i = 0; i < out.numberoftetrahedra; i++){
+ MVertex *v1 = numberedV[out.tetrahedronlist[i * 4 + 0] - 1];
+ MVertex *v2 = numberedV[out.tetrahedronlist[i * 4 + 1] - 1];
+ MVertex *v3 = numberedV[out.tetrahedronlist[i * 4 + 2] - 1];
+ MVertex *v4 = numberedV[out.tetrahedronlist[i * 4 + 3] - 1];
+ MTetrahedron *t = new MTetrahedron(v1, v2, v3, v4);
+ gr->tetrahedra.push_back(t);
+ }
+}
+
+#endif
+
+static void addOrRemove(const MFace &f,
+ MElement *e,
+ std::map<MFace,MElement*,Less_Face> & bfaces,
+ splitQuadRecovery &sqr)
+{
+ {
+ std::map<MFace, MVertex*, Less_Face>::const_iterator it = sqr._invmap.find(f);
+ if (it != sqr._invmap.end()){
+ addOrRemove (MFace(it->second, f.getVertex(0),f.getVertex(1)),e,bfaces,sqr);
+ addOrRemove (MFace(it->second, f.getVertex(1),f.getVertex(2)),e,bfaces,sqr);
+ addOrRemove (MFace(it->second, f.getVertex(2),f.getVertex(3)),e,bfaces,sqr);
+ addOrRemove (MFace(it->second, f.getVertex(3),f.getVertex(0)),e,bfaces,sqr);
+ return;
+ }
+ }
+
+ std::map<MFace,MElement*,Less_Face>::iterator it = bfaces.find(f);
+ if (it == bfaces.end())bfaces.insert(std::make_pair(f,e));
+ else bfaces.erase(it);
+}
+
+
+/*
+ here, we have a list of elements that actually do not form a mesh
+ --> a set boundary layer elements (prism, hexes, pyramids (and soon tets)
+ --> a set of tetrahedra that respect the external boundary of the BL mesh,
+ yet possiblty containing elements that are on the other side of the boundary
+ and therefore overlapping those elements. We have to extract the good ones !
+
+
+
+*/
+
+static bool AssociateElementsToModelRegionWithBoundaryLayers (GRegion *gr,
+ std::vector<MTetrahedron*> &tets,
+ std::vector<MHexahedron*> &hexes,
+ std::vector<MPrism*> &prisms,
+ std::vector<MPyramid*> &pyramids,
+ splitQuadRecovery & sqr)
+{
+ std::set<MElement*> all;
+ all.insert(hexes.begin(),hexes.end());
+ all.insert(prisms.begin(),prisms.end());
+ all.insert(pyramids.begin(),pyramids.end());
+ // start with one BL element !
+ MElement *FIRST = all.size() ? *(all.begin()) : 0;
+ if (!FIRST) return true;
+ all.insert(tets.begin(),tets.end());
+
+ // printf("coucou1 %d eleemnts\n",all.size());
+ fs_cont search;
+ buildFaceSearchStructure(gr->model(), search);
+
+ // create the graph face 2 elements for the region
+ std::map<MFace,std::pair<MElement*,MElement*> ,Less_Face> myGraph;
+
+ for (std::set<MElement*>::iterator it = all.begin(); it != all.end(); ++it){
+ MElement *t = *it;
+ const int nbf = t->getNumFaces();
+ for (int j=0;j<nbf;j++){
+ MFace f = t->getFace(j);
+ std::map<MFace,std::pair<MElement*,MElement*>,Less_Face>::iterator itf = myGraph.find(f);
+ if (itf == myGraph.end())myGraph.insert (std::make_pair (f, std::make_pair (t,(MElement*)0)));
+ else {
+ // what to do ??????
+ // two tets and one prism --> the prism should be
+ // geometrically on the other side of the tet
+ if (itf->second.second) {
+ MElement *prism=0, *t1=0, *t2=0;
+ if (itf->second.second->getType () == TYPE_PRI || itf->second.second->getType () == TYPE_PYR) {
+ prism = itf->second.second;
+ t1 = itf->second.first;
+ t2 = t;
+ }
+ else if (itf->second.first->getType () == TYPE_PRI || itf->second.first->getType () == TYPE_PYR) {
+ prism = itf->second.first;
+ t1 = itf->second.second;
+ t2 = t;
+ }
+ else if (t->getType () == TYPE_PRI || t->getType () == TYPE_PYR) {
+ prism = t;
+ t1 = itf->second.second;
+ t2 = itf->second.first;
+ }
+ else {
+ printf("types %d %d %d\n",t->getType () ,itf->second.first->getType (),itf->second.second->getType () );
+ }
+ if (!t1 || !t2 || !prism){
+ gr->model()->writeMSH("ooops.msh");
+ Msg::Error ("Wrong BL configuration");
+ return false;
+ }
+ SVector3 n = f.normal();
+ SPoint3 c = f.barycenter();
+ MVertex *v_prism = 0, *v_t1 = 0, *v_t2 = 0;
+ for (int i=0;i<4;i++){
+ if (t1->getVertex(i) != f.getVertex(0) &&
+ t1->getVertex(i) != f.getVertex(1) &&
+ t1->getVertex(i) != f.getVertex(2))v_t1 = t1->getVertex(i);
+ if (t2->getVertex(i) != f.getVertex(0) &&
+ t2->getVertex(i) != f.getVertex(1) &&
+ t2->getVertex(i) != f.getVertex(2))v_t2 = t2->getVertex(i);
+ }
+ for (int i=0;i<prism->getNumVertices();i++){
+ if (prism->getVertex(i) != f.getVertex(0) &&
+ prism->getVertex(i) != f.getVertex(1) &&
+ prism->getVertex(i) != f.getVertex(2)) v_prism = prism->getVertex(i);
+ }
+ SVector3 vf1 (v_t1->x() - c.x(),v_t1->y() - c.y(),v_t1->z() - c.z());
+ SVector3 vf2 (v_t2->x() - c.x(),v_t2->y() - c.y(),v_t2->z() - c.z());
+ SVector3 vfp (v_prism->x() - c.x(),v_prism->y() - c.y(),v_prism->z() - c.z());
+ // printf("%12.5E %12.5E%12.5E\n",dot(vf1,n),dot(vf2,n),dot(vfp,n));
+ if (dot (vf1,n) * dot (vfp,n) > 0){itf->second.first = prism;itf->second.second=t2; /*delete t1;*/}
+ else if (dot (vf2,n) * dot (vfp,n) > 0){itf->second.first = prism;itf->second.second=t1; /*delete t2;*/}
+ // else if (dot (vf2,vfp) > 0){itf->second.first = prism;itf->second.second=t2;}
+ else Msg::Fatal("Impossible Geom Config");
+ }
+ else itf->second.second = t;
+ }
+ }
+ }
+
+ std::stack<MElement*> myStack;
+ std::set<MElement*> connected;
+ std::set<GFace*> faces_bound;
+ myStack.push(FIRST);
+ while (!myStack.empty()){
+ FIRST = myStack.top();
+ myStack.pop();
+ connected.insert(FIRST);
+ for (int i=0;i<FIRST->getNumFaces();i++){
+ MFace f = FIRST->getFace(i);
+ std::map<MFace, MVertex*, Less_Face>::iterator it = sqr._invmap.find(f);
+ GFace* gfound = 0;
+ if (it != sqr._invmap.end()){
+ gfound = (GFace*)it->second->onWhat();
+ // one pyramid is useless because one element with a quad face impacts the
+ // boundary of the domain.
+ sqr._toDelete.insert(f);
+ }
+ else gfound = findInFaceSearchStructure (f,search);
+ if (!gfound){
+ std::map<MFace,std::pair<MElement*,MElement*>,Less_Face>::iterator
+ itf = myGraph.find(f);
+ MElement *t_neigh = itf->second.first == FIRST ?
+ itf->second.second : itf->second.first;
+ if (!t_neigh)printf("oulalalalalalalala %d vertices\n",f.getNumVertices());
+ if (connected.find(t_neigh) == connected.end())myStack.push(t_neigh);
+ }
+ else {
+ // if (faces_bound.find(gfound) == faces_bound.end())printf("face %d\n",gfound->tag());
+ faces_bound.insert(gfound);
+ }
+ }
+ }
+
+ // printf ("found a set of %d elements that are connected with %d bounding faces\n",connected.size(),faces_bound.size());
+ GRegion *myGRegion = getRegionFromBoundingFaces(gr->model(), faces_bound);
+ // printf("REGION %d %d\n",myGRegion->tag(),gr->tag());
+ if (myGRegion == gr){
+ // printf("one region %d is found : %d elements\n",myGRegion->tag(),connected.size());
+ myGRegion->tetrahedra.clear();
+ for (std::set<MElement*>::iterator it = connected.begin(); it != connected.end(); ++it){
+ MElement *t = *it;
+ std::set<MVertex*> _mesh_vertices;
+ for (int i=0;i<t->getNumVertices();i++){
+ MVertex *_v = t->getVertex(i);
+ if (_v->onWhat() == gr){
+ _mesh_vertices.insert(_v);
+ }
+ }
+ // myGRegion->mesh_vertices.insert(myGRegion->mesh_vertices.end(),_mesh_vertices.begin(),_mesh_vertices.end());
+
+ if (t->getType() == TYPE_TET)
+ myGRegion->tetrahedra.push_back((MTetrahedron*)t);
+ else if (t->getType() == TYPE_HEX)
+ myGRegion->hexahedra.push_back((MHexahedron*)t);
+ else if (t->getType() == TYPE_PRI)
+ myGRegion->prisms.push_back((MPrism*)t);
+ else if (t->getType() == TYPE_PYR)
+ myGRegion->pyramids.push_back((MPyramid*)t);
+ }
+ }
+ else {
+ return false;
+ }
+ return true;
+}
+
+static int getWedge(BoundaryLayerColumns* _columns, MVertex *v1, MVertex *v2,
+ int indicesVert1 [], int indicesVert2 [])
+{
+ int N1 = _columns->getNbColumns(v1) ;
+ int N2 = _columns->getNbColumns(v2) ;
+ int fanSize = 4;
+ int NW1 = 0;
+ int NW2 = 0;
+ for (int i=0;i<N1;i++){
+ const BoundaryLayerData & c1 = _columns->getColumn(v1,i);
+ if (c1._joint.size())NW1++;
+ }
+ for (int i=0;i<N2;i++){
+ const BoundaryLayerData & c2 = _columns->getColumn(v2,i);
+ if (c2._joint.size())NW2++;
+ }
+
+ std::map<int,int> one2two;
+ for (int i=0;i<NW1;i++){
+ const BoundaryLayerData & c1 = _columns->getColumn(v1,i);
+ for (int j=0;j<NW2;j++){
+ const BoundaryLayerData & c2 = _columns->getColumn(v2,j);
+ for (unsigned int k=0;k<c2._joint.size();k++){
+ if (std::find(c1._joint.begin(),c1._joint.end(),c2._joint[k]) !=
+ c1._joint.end()) {
+ one2two[i] = j;
+ }
+ }
+ }
+ }
+
+ // printf("%d %d %d %d \n",N1,N2,NW1,NW2);
+ // for (std::map<int,int>::iterator it = one2two.begin(); it != one2two.end(); it++){
+ // printf("one2two[%d] = %d\n",it->first,it->second);
+ // }
+ if (one2two.size() != 2)return 0;
+
+ int vert1Start,vert1End;
+ int vert2Start,vert2End;
+ std::map<int,int>::iterator it = one2two.begin();
+ vert1Start = it->first;
+ vert2Start = it->second;
+ ++it;
+ vert1End = it->first;
+ vert2End = it->second;
+
+
+ int INDEX1 = 0, count = 0;
+ for (int i=0;i<NW1;i++){
+ for (int j=i+1;j<NW1;j++){
+ if ((vert1Start == i && vert1End == j) ||
+ (vert1Start == j && vert1End == i))
+ {
+ INDEX1 = count;
+ }
+ count++;
+ }
+ }
+ int INDEX2 = 0;
+ count = 0;
+ for (int i=0;i<NW2;i++){
+ for (int j=i+1;j<NW2;j++){
+ if ((vert2Start == i && vert2End == j) ||
+ (vert2Start == j && vert2End == i))
+ {
+ INDEX2 = count;
+ }
+ count++;
+ }
+ }
+
+ int indexVert1Start = NW1 + fanSize * ( 0 + INDEX1);
+ int indexVert1End = NW1 + fanSize * ( 1 + INDEX1);
+
+ int indexVert2Start = NW2 + fanSize * ( 0 + INDEX2);
+ int indexVert2End = NW2 + fanSize * ( 1 + INDEX2);
+
+ indicesVert1[0] = vert1Start;
+ int k=1;
+ for (int i=indexVert1Start;i< indexVert1End;++i)indicesVert1[k++] = i;
+ indicesVert1[fanSize+1] = vert1End;
+
+ indicesVert2[0] = vert2Start;
+ k = 1;
+ if (indexVert2End > indexVert2Start){
+ for (int i=indexVert2Start;i< indexVert2End;++i)indicesVert2[k++] = i;
+ }
+ else {
+ for (int i=indexVert2Start-1;i<= indexVert2End;--i)indicesVert2[k++] = i;
+ }
+ indicesVert2[fanSize+1] = vert2End;
+
+
+ // printf("%d %d %d %d %d %d %d %d\n",vert1Start,vert1End,vert2Start,vert2End,indexVert1Start,indexVert1End,indexVert2Start,indexVert2End);
+ // return 0;
+
+ return fanSize + 2;
+}
+
+
+static bool modifyInitialMeshForTakingIntoAccountBoundaryLayers(GRegion *gr, splitQuadRecovery & sqr)
+{
+ if (getBLField(gr->model())) insertVerticesInRegion(gr,-1);
+ if (!buildAdditionalPoints3D (gr)) return false;
+ BoundaryLayerColumns* _columns = gr->getColumns();
+ std::map<MFace,MElement*,Less_Face> bfaces;
+
+ std::vector<MPrism*> blPrisms;
+ std::vector<MHexahedron*> blHexes;
+ std::vector<MPyramid*> blPyrs;
+ std::list<GFace*> faces = gr->faces();
+
+ std::list<GFace*> embedded_faces = gr->embeddedFaces();
+ faces.insert(faces.begin(), embedded_faces.begin(),embedded_faces.end());
+ std::set<MVertex*> verts;
+
+ {
+ std::list<GFace*>::iterator itf = faces.begin();
+ while(itf != faces.end()){
+ for(unsigned int i = 0; i< (*itf)->getNumMeshElements(); i++){
+ MElement *e = (*itf)->getMeshElement(i);
+ addOrRemove (e->getFace(0),0,bfaces,sqr);
+ }
+ ++itf;
+ }
+ }
+
+ std::list<GFace*>::iterator itf = faces.begin();
+ while(itf != faces.end()){
+ for(unsigned int i = 0; i< (*itf)->triangles.size(); i++){
+ MVertex *v1 = (*itf)->triangles[i]->getVertex(0);
+ MVertex *v2 = (*itf)->triangles[i]->getVertex(1);
+ MVertex *v3 = (*itf)->triangles[i]->getVertex(2);
+ MFace dv (v1,v2,v3);
+ for (unsigned int SIDE = 0 ; SIDE < _columns->_normals3D.count(dv); SIDE ++){
+ faceColumn fc = _columns->getColumns(*itf,v1, v2, v3, SIDE);
+ const BoundaryLayerData & c1 = fc._c1;
+ const BoundaryLayerData & c2 = fc._c2;
+ const BoundaryLayerData & c3 = fc._c3;
+ int N = std::min(c1._column.size(),std::min(c2._column.size(),c3._column.size()));
+
+ // double distMax = getDistMax (v1, v2, v3, c1._n, c2._n, c3._n);
+ MFace f_low (v1,v2,v3);
+ SVector3 n_low = f_low.normal();
+ // printf("%d Layers\n",N);
+ std::vector<MElement*> myCol;
+ for (int l=0;l < N ;++l){
+ MVertex *v11,*v12,*v13,*v21,*v22,*v23;
+ v21 = c1._column[l];
+ v22 = c2._column[l];
+ v23 = c3._column[l];
+ if (l == 0){
+ v11 = v1;
+ v12 = v2;
+ v13 = v3;
+ }
+ else {
+ v11 = c1._column[l-1];
+ v12 = c2._column[l-1];
+ v13 = c3._column[l-1];
+ }
+ MFace f_up (v21,v22,v23);
+ SVector3 n_up = f_up.normal();
+ double dotProd = dot(n_up,n_low);
+ MPrism *prism = new MPrism(v11,v12,v13,v21,v22,v23);
+ if (dotProd > 0.2 && prism->skewness() > 0.1){
+ blPrisms.push_back(prism);
+ myCol.push_back(prism);
+ }
+ else {
+ delete prism;
+ l = N+1;
+ }
+ }
+ if (!myCol.empty()){
+ for (unsigned int l=0;l<myCol.size();l++)_columns->_toFirst[myCol[l]] = myCol[0];
+ _columns->_elemColumns[myCol[0]] = myCol;
+ }
+ }
+ }
+ ++itf;
+ }
+
+ std::set<MEdge,Less_Edge> edges;
+ {
+ std::list<GEdge*> gedges = gr->edges();
+ for (std::list<GEdge*>::iterator it = gedges.begin(); it != gedges.end() ; ++it){
+ for (unsigned int i=0;i<(*it)->lines.size();++i){
+ edges.insert(MEdge((*it)->lines[i]->getVertex(0),(*it)->lines[i]->getVertex(1)));
+ }
+ }
+ }
+
+ // now treat the Wedges
+ // we have to know the two target GFaces that are concerned with a GEdge
+ std::set<MEdge>::iterator ite = edges.begin();
+ while(ite != edges.end()){
+ MEdge e = *ite;
+ MVertex *v1 = e.getVertex(0);
+ MVertex *v2 = e.getVertex(1);
+ if (v1 != v2){
+ int indices1[256];
+ int indices2[256];
+ int NbW = getWedge (_columns, v1, v2, indices1,indices2);
+ for (int i=0;i<NbW-1;i++){
+ int i11 = indices1[i];
+ int i12 = indices1[i+1];
+ int i21 = indices2[i];
+ int i22 = indices2[i+1];
+ BoundaryLayerData c11 = _columns->getColumn(v1,i11);
+ BoundaryLayerData c12 = _columns->getColumn(v1,i12);
+ BoundaryLayerData c21 = _columns->getColumn(v2,i21);
+ BoundaryLayerData c22 = _columns->getColumn(v2,i22);
+ int N = std::min(c11._column.size(),
+ std::min(c12._column.size(),
+ std::min(c21._column.size(), c22._column.size())));
+ std::vector<MElement*> myCol;
+ for (int l=0;l < N ;++l){
+ MVertex *v11,*v12,*v13,*v14;
+ MVertex *v21,*v22,*v23,*v24;
+ v21 = c11._column[l];
+ v22 = c12._column[l];
+ v23 = c22._column[l];
+ v24 = c21._column[l];
+ if (l == 0){
+ v11 = v12 = v1;
+ v13 = v14 = v2;
+ }
+ else {
+ v11 = c11._column[l-1];
+ v12 = c12._column[l-1];
+ v13 = c22._column[l-1];
+ v14 = c21._column[l-1];
+ }
+
+ if (l == 0){
+ MPrism *prism = new MPrism(v12,v21,v22,v13,v24,v23);
+ // store the layer the element belongs
+ myCol.push_back(prism);
+
+ blPrisms.push_back(prism);
+ }
+ else {
+ MHexahedron *hex = new MHexahedron(v11,v12,v13,v14,v21,v22,v23,v24);
+ // store the layer the element belongs
+ myCol.push_back(hex);
+ blHexes.push_back(hex);
+ }
+ }
+ if (!myCol.empty()){
+ for (unsigned int l=0;l<myCol.size();l++)_columns->_toFirst[myCol[l]] = myCol[0];
+ _columns->_elemColumns[myCol[0]] = myCol;
+ }
+ }
+ }
+ ++ite;
+ }
+ // ------------------------------------------------------------------------------------
+ // FIXME : NOT 100 % CORRECT
+ // filterOverlappingElements (blPrisms,blHexes,_columns->_elemColumns,_columns->_toFirst);
+ // ------------------------------------------------------------------------------------
+ {
+ FILE *ff2 = fopen ("tato3D.pos","w");
+ fprintf(ff2,"View \" \"{\n");
+ for (unsigned int i = 0; i < blPrisms.size();i++){
+ blPrisms[i]->writePOS(ff2,1,0,0,0,0,0);
+ }
+ for (unsigned int i = 0; i < blHexes.size();i++){
+ blHexes[i]->writePOS(ff2,1,0,0,0,0,0);
+ }
+ fprintf(ff2,"};\n");
+ fclose(ff2);
+ }
+
+ for (unsigned int i = 0; i < blPrisms.size();i++){
+ for (unsigned int j=0;j<5;j++)
+ addOrRemove(blPrisms[i]->getFace(j),blPrisms[i],bfaces,sqr);
+ for (int j = 0; j < 6; j++)
+ if(blPrisms[i]->getVertex(j)->onWhat() == gr)verts.insert(blPrisms[i]->getVertex(j));
+ }
+ for (unsigned int i = 0; i < blHexes.size();i++){
+ for (unsigned int j=0;j<6;j++)
+ addOrRemove(blHexes[i]->getFace(j),blHexes[i],bfaces, sqr);
+ for (int j = 0; j < 8; j++)
+ if(blHexes[i]->getVertex(j)->onWhat() == gr)verts.insert(blHexes[i]->getVertex(j));
+ }
+
+ discreteFace *nf = new discreteFace(gr->model(), 444444);
+ gr->model()->add (nf);
+ std::list<GFace*> hop;
+ std::map<MFace,MElement*,Less_Face>::iterator it = bfaces.begin();
+
+ FILE *ff = fopen ("toto3D.pos","w");
+ fprintf(ff,"View \" \"{\n");
+ for (; it != bfaces.end(); ++it){
+ if (it->first.getNumVertices() == 3){
+ nf->triangles.push_back(new MTriangle (it->first.getVertex(0),it->first.getVertex(1),it->first.getVertex(2)));
+ fprintf(ff,"ST (%g,%g,%g,%g,%g,%g,%g,%g,%g){1,1,1};\n",
+ it->first.getVertex(0)->x(),it->first.getVertex(0)->y(),it->first.getVertex(0)->z(),
+ it->first.getVertex(1)->x(),it->first.getVertex(1)->y(),it->first.getVertex(1)->z(),
+ it->first.getVertex(2)->x(),it->first.getVertex(2)->y(),it->first.getVertex(2)->z());
+ }
+ else {
+
+ // we have a quad face --> create a pyramid
+
+ MElement *e = it->second;
+
+ // compute the center of the face;
+ SPoint3 center (0.25*(it->first.getVertex(0)->x()+it->first.getVertex(1)->x()+it->first.getVertex(2)->x()+it->first.getVertex(3)->x()),
+ 0.25*(it->first.getVertex(0)->y()+it->first.getVertex(1)->y()+it->first.getVertex(2)->y()+it->first.getVertex(3)->y()),
+ 0.25*(it->first.getVertex(0)->z()+it->first.getVertex(1)->z()+it->first.getVertex(2)->z()+it->first.getVertex(3)->z()));
+ // compute the center of the opposite face;
+ SPoint3 opposite (0,0,0);
+ int counter=0;
+ for (int i=0;i<e->getNumVertices();i++){
+ MVertex *vv = e->getVertex(i);
+ bool found = false;
+ for (int j=0;j<4;j++){
+ MVertex *ww = it->first.getVertex(j);
+ if (ww == vv)found = true;
+ }
+ if (!found){
+ counter ++;
+ opposite += SPoint3(vv->x(),vv->y(),vv->z());
+ }
+ }
+ // printf("counter = %d\n",counter);
+ if(counter)
+ opposite /= (double)counter;
+
+ SVector3 dir = center - opposite;
+ MTriangle temp (it->first.getVertex(0),it->first.getVertex(1),it->first.getVertex(2));
+ double D = temp.minEdge();
+ dir.normalize();
+ const double eps = D*1.e-2;
+ MVertex *newv = new MVertex (center.x() + eps * dir.x(),center.y() + eps * dir.y(), center.z() + eps * dir.z(), gr);
+
+ MPyramid *pyr = new MPyramid (it->first.getVertex(0),it->first.getVertex(1),it->first.getVertex(2),it->first.getVertex(3),newv);
+ verts.insert(newv);
+ blPyrs.push_back(pyr);
+
+ nf->triangles.push_back(new MTriangle (it->first.getVertex(0),it->first.getVertex(1),newv));
+ nf->triangles.push_back(new MTriangle (it->first.getVertex(1),it->first.getVertex(2),newv));
+ nf->triangles.push_back(new MTriangle (it->first.getVertex(2),it->first.getVertex(3),newv));
+ nf->triangles.push_back(new MTriangle (it->first.getVertex(3),it->first.getVertex(0),newv));
+
+ fprintf(ff,"ST (%g,%g,%g,%g,%g,%g,%g,%g,%g){2,2,2};\n",
+ it->first.getVertex(0)->x(),it->first.getVertex(0)->y(),it->first.getVertex(0)->z(),
+ it->first.getVertex(1)->x(),it->first.getVertex(1)->y(),it->first.getVertex(1)->z(),
+ newv->x(),newv->y(),newv->z());
+
+ fprintf(ff,"ST (%g,%g,%g,%g,%g,%g,%g,%g,%g){2,2,2};\n",
+ it->first.getVertex(1)->x(),it->first.getVertex(1)->y(),it->first.getVertex(1)->z(),
+ it->first.getVertex(2)->x(),it->first.getVertex(2)->y(),it->first.getVertex(2)->z(),
+ newv->x(),newv->y(),newv->z());
+
+ fprintf(ff,"ST (%g,%g,%g,%g,%g,%g,%g,%g,%g){2,2,2};\n",
+ it->first.getVertex(2)->x(),it->first.getVertex(2)->y(),it->first.getVertex(2)->z(),
+ it->first.getVertex(3)->x(),it->first.getVertex(3)->y(),it->first.getVertex(3)->z(),
+ newv->x(),newv->y(),newv->z());
+ fprintf(ff,"ST (%g,%g,%g,%g,%g,%g,%g,%g,%g){2,2,2};\n",
+ it->first.getVertex(3)->x(),it->first.getVertex(3)->y(),it->first.getVertex(3)->z(),
+ it->first.getVertex(0)->x(),it->first.getVertex(0)->y(),it->first.getVertex(0)->z(),
+ newv->x(),newv->y(),newv->z());
+
+ fprintf(ff,"SQ (%g,%g,%g,%g,%g,%g,%g,%g,%g,%g,%g,%g){3,3,3,3};\n",
+ it->first.getVertex(0)->x(),it->first.getVertex(0)->y(),it->first.getVertex(0)->z(),
+ it->first.getVertex(1)->x(),it->first.getVertex(1)->y(),it->first.getVertex(1)->z(),
+ it->first.getVertex(2)->x(),it->first.getVertex(2)->y(),it->first.getVertex(2)->z(),
+ it->first.getVertex(3)->x(),it->first.getVertex(3)->y(),it->first.getVertex(3)->z());
+ }
+ }
+ fprintf(ff,"};\n");
+ fclose(ff);
+
+ printf("discrete face with %d %d elems\n", (int)nf->triangles.size(),
+ (int)nf->quadrangles.size());
+ hop.push_back(nf);
+
+ for(unsigned int i = 0; i < gr->tetrahedra.size(); i++) delete gr->tetrahedra[i];
+ gr->tetrahedra.clear();
+
+ gr->set(hop);
+ CreateAnEmptyVolumeMesh(gr);
+ printf("%d tets\n", (int)gr->tetrahedra.size());
+ deMeshGFace _kill;
+ _kill (nf);
+ //<<<<<<< .mine
+ gr->model()->remove(nf);
+ // delete nf;
+ //=======
+ //>>>>>>> .r18259
+ delete nf;
+
+ gr->set(faces);
+ gr->mesh_vertices.insert(gr->mesh_vertices.begin(),verts.begin(),verts.end());
+
+ gr->model()->writeMSH("BL_start.msh");
+
+ AssociateElementsToModelRegionWithBoundaryLayers (gr, gr->tetrahedra , blHexes, blPrisms, blPyrs, sqr);
+
+ gr->model()->writeMSH("BL_start2.msh");
+
+ return true;
+}
+
+void _relocateVertex(MVertex *ver,
+ const std::vector<MElement*> <)
+{
+ if(ver->onWhat()->dim() != 3) return;
+ double x = 0, y=0, z=0;
+ int N = 0;
+ bool isPyramid = false;
+ for(unsigned int i = 0; i < lt.size(); i++){
+ double XCG=0,YCG=0,ZCG=0;
+ for (int j=0;j<lt[i]->getNumVertices();j++){
+ XCG += lt[i]->getVertex(j)->x();
+ YCG += lt[i]->getVertex(j)->y();
+ ZCG += lt[i]->getVertex(j)->z();
+ }
+ x += XCG;
+ y += YCG;
+ z += ZCG;
+ if (lt[i]->getNumVertices() == 5) isPyramid = true;
+ N += lt[i]->getNumVertices();
+ }
+ if (isPyramid){
+ ver->x() = x / N;
+ ver->y() = y / N;
+ ver->z() = z / N;
+ }
+}
+
+#if defined(HAVE_TETGEN)
+bool CreateAnEmptyVolumeMesh(GRegion *gr)
+{
+ printf("creating an empty volume mesh\n");
+ splitQuadRecovery sqr;
+ tetgenio in, out;
+ std::vector<MVertex*> numberedV;
+ char opts[128];
+ buildTetgenStructure(gr, in, numberedV, sqr);
+ printf("tetgen structure created\n");
+ sprintf(opts, "-Ype%c",
+ (Msg::GetVerbosity() < 3) ? 'Q':
+ (Msg::GetVerbosity() > 6) ? 'V': '\0');
+ try{
+ tetrahedralize(opts, &in, &out);
+ }
+ catch (int error){
+ Msg::Error("Self intersecting surface mesh");
+ return false;
+ }
+ printf("creating an empty volume mesh done\n");
+ TransferTetgenMesh(gr, in, out, numberedV);
+ return true;
+}
+
+#else
+
+bool CreateAnEmptyVolumeMesh(GRegion *gr)
+{
+ Msg::Error("You should compile with TETGEN in order to create an empty volume mesh");
+ return false;
+}
+
+#endif
+
+void MeshDelaunayVolumeTetgen(std::vector<GRegion*> ®ions)
+{
+ if(regions.empty()) return;
+
+#if !defined(HAVE_TETGEN)
+ Msg::Error("Tetgen is not compiled in this version of Gmsh");
+#else
+
+ for(unsigned int i = 0; i < regions.size(); i++)
+ Msg::Info("Meshing volume %d (Delaunay)", regions[i]->tag());
+
+ // put all the faces in the same model
+ GRegion *gr = regions[0];
+ std::list<GFace*> faces = gr->faces();
+
+ std::set<GFace*> allFacesSet;
+ for(unsigned int i = 0; i < regions.size(); i++){
+ std::list<GFace*> f = regions[i]->faces();
+ allFacesSet.insert(f.begin(), f.end());
+ f = regions[i]->embeddedFaces();
+ allFacesSet.insert(f.begin(), f.end());
+ }
+ std::list<GFace*> allFaces;
+ for(std::set<GFace*>::iterator it = allFacesSet.begin(); it != allFacesSet.end(); it++){
+ allFaces.push_back(*it);
+ }
+ gr->set(allFaces);
+
+ // mesh with tetgen, possibly changing the mesh on boundaries (leave
+ // this in block, so in/out are destroyed before we refine the mesh)
+ splitQuadRecovery sqr;
+ {
+ tetgenio in, out;
+ std::vector<MVertex*> numberedV;
+ char opts[128];
+ buildTetgenStructure(gr, in, numberedV, sqr);
+ if(CTX::instance()->mesh.algo3d == ALGO_3D_FRONTAL_DEL ||
+ CTX::instance()->mesh.algo3d == ALGO_3D_FRONTAL_HEX ||
+ CTX::instance()->mesh.algo3d == ALGO_3D_MMG3D ||
+ CTX::instance()->mesh.algo2d == ALGO_2D_FRONTAL_QUAD ||
+ CTX::instance()->mesh.algo2d == ALGO_2D_BAMG){
+ sprintf(opts, "Ype%c", (Msg::GetVerbosity() < 3) ? 'Q':
+ (Msg::GetVerbosity() > 6) ? 'V': '\0');
+ // removed -q because mesh sizes at new vertices are wrong
+ // sprintf(opts, "-q1.5pY%c", (Msg::GetVerbosity() < 3) ? 'Q':
+ // (Msg::GetVerbosity() > 6) ? 'V': '\0');
+ }
+ else if (CTX::instance()->mesh.algo3d == ALGO_3D_RTREE){
+ sprintf(opts, "S0Ype%c", (Msg::GetVerbosity() < 3) ? 'Q':
+ (Msg::GetVerbosity() > 6) ? 'V': '\0');
+ }
+ else {
+ sprintf(opts, "Ype%c",
+ (Msg::GetVerbosity() < 3) ? 'Q':
+ (Msg::GetVerbosity() > 6) ? 'V': '\0');
+ // removed -q because mesh sizes at new vertices are wrong
+ // sprintf(opts, "-q3.5Ype%c", (Msg::GetVerbosity() < 3) ? 'Q':
+ // (Msg::GetVerbosity() > 6) ? 'V': '\0');*/
+ }
+ try{
+ tetrahedralize(opts, &in, &out);
+ }
+ catch (int error){
+ Msg::Error("Self intersecting surface mesh, computing intersections "
+ "(this could take a while)");
+ sprintf(opts, "dV");
+ try{
+ tetrahedralize(opts, &in, &out);
+ Msg::Info("%d intersecting faces have been saved into 'intersect.pos'",
+ out.numberoftrifaces);
+ FILE *fp = Fopen("intersect.pos", "w");
+ if(fp){
+ fprintf(fp, "View \"intersections\" {\n");
+ for(int i = 0; i < out.numberoftrifaces; i++){
+ MVertex *v1 = numberedV[out.trifacelist[i * 3 + 0] - 1];
+ MVertex *v2 = numberedV[out.trifacelist[i * 3 + 1] - 1];
+ MVertex *v3 = numberedV[out.trifacelist[i * 3 + 2] - 1];
+ int surf = out.trifacemarkerlist[i];
+ fprintf(fp, "ST(%g,%g,%g,%g,%g,%g,%g,%g,%g){%d,%d,%d};\n",
+ v1->x(), v1->y(), v1->z(), v2->x(), v2->y(), v2->z(),
+ v3->x(), v3->y(), v3->z(), surf, surf, surf);
+ }
+ fprintf(fp, "};\n");
+ fclose(fp);
+ }
+ else
+ Msg::Error("Could not open file 'intersect.pos'");
+ }
+ catch (int error2){
+ Msg::Error("Surface mesh is wrong, cannot do the 3D mesh");
+ }
+ gr->set(faces);
+ return;
+ }
+ TransferTetgenMesh(gr, in, out, numberedV);
+ }
+
+
+ // sort triangles in all model faces in order to be able to search in vectors
+ std::list<GFace*>::iterator itf = allFaces.begin();
+ while(itf != allFaces.end()){
+ compareMTriangleLexicographic cmp;
+ std::sort((*itf)->triangles.begin(), (*itf)->triangles.end(), cmp);
+ ++itf;
+ }
+
+ // restore the initial set of faces
+ gr->set(faces);
+
+ bool _BL = modifyInitialMeshForTakingIntoAccountBoundaryLayers(gr,sqr);
+
+ // now do insertion of points
+ if(CTX::instance()->mesh.algo3d == ALGO_3D_FRONTAL_DEL)
+ bowyerWatsonFrontalLayers(gr, false);
+ else if(CTX::instance()->mesh.algo3d == ALGO_3D_FRONTAL_HEX)
+ bowyerWatsonFrontalLayers(gr, true);
+ else if(CTX::instance()->mesh.algo3d == ALGO_3D_MMG3D){
+ refineMeshMMG(gr);
+ }
+ else
+ if(!Filler::get_nbr_new_vertices() && !LpSmoother::get_nbr_interior_vertices()){
+ insertVerticesInRegion(gr,2000000000,!_BL);
+ }
+
+ //emi test frame field
+ // int NumSmooth = 10;//CTX::instance()->mesh.smoothCrossField
+ // std::cout << "NumSmooth = " << NumSmooth << std::endl;
+ // if(NumSmooth && (gr->dim() == 3)){
+ // double scale = gr->bounds().diag()*1e-2;
+ // Frame_field::initRegion(gr,NumSmooth);
+ // Frame_field::saveCrossField("cross0.pos",scale);
+ // //Frame_field::smoothRegion(gr,NumSmooth);
+ // //Frame_field::saveCrossField("cross1.pos",scale);
+ // GFace *gf = GModel::current()->getFaceByTag(2);
+ // Frame_field::continuousCrossField(gr,gf);
+ // Frame_field::saveCrossField("cross2.pos",scale);
+ // }
+ // Frame_field::init_region(gr);
+ // Frame_field::clear();
+ // exit(1);
+ //fin test emi
+
+ if (sqr.buildPyramids (gr->model())){
+ // relocate vertices if pyramids
+ for(unsigned int k = 0; k < regions.size(); k++){
+ v2t_cont adj;
+ buildVertexToElement(regions[k]->tetrahedra, adj);
+ buildVertexToElement(regions[k]->pyramids, adj);
+ v2t_cont::iterator it = adj.begin();
+ while (it != adj.end()){
+ _relocateVertex( it->first, it->second);
+ ++it;
+ }
+ }
+ }
+#endif
+}
+
+// uncomment this to test the new code
+//##define NEW_CODE
+
+void MeshDelaunayVolume(std::vector<GRegion*> ®ions)
+{
+ if(regions.empty()) return;
+
+#if !defined(NEW_CODE) && defined(HAVE_TETGEN)
+ MeshDelaunayVolumeTetgen(regions);
+ return;
+#endif
+ splitQuadRecovery sqr;
+
+ for(unsigned int i = 0; i < regions.size(); i++)
+ Msg::Info("Meshing volume %d (Delaunay)", regions[i]->tag());
+
+ // put all the faces in the same model
+ GRegion *gr = regions[0];
+ std::list<GFace*> faces = gr->faces();
+
+ std::set<GFace*> allFacesSet;
+ for(unsigned int i = 0; i < regions.size(); i++){
+ std::list<GFace*> f = regions[i]->faces();
+ allFacesSet.insert(f.begin(), f.end());
+ f = regions[i]->embeddedFaces();
+ allFacesSet.insert(f.begin(), f.end());
+ }
+ std::list<GFace*> allFaces;
+ for(std::set<GFace*>::iterator it = allFacesSet.begin();
+ it != allFacesSet.end(); it++){
+ allFaces.push_back(*it);
+ }
+ gr->set(allFaces);
+
+ try{
+ meshGRegionBoundaryRecovery *init = new meshGRegionBoundaryRecovery();
+ init->reconstructmesh(gr);
+ delete init;
+ }
+ catch(int err){
+ Msg::Error("Could not recover boundary: error %d", err);
+ }
+
+ // sort triangles in all model faces in order to be able to search in vectors
+ std::list<GFace*>::iterator itf = allFaces.begin();
+ while(itf != allFaces.end()){
+ compareMTriangleLexicographic cmp;
+ std::sort((*itf)->triangles.begin(), (*itf)->triangles.end(), cmp);
+ ++itf;
+ }
+
+ // restore the initial set of faces
+ gr->set(faces);
+
+ bool _BL = modifyInitialMeshForTakingIntoAccountBoundaryLayers(gr,sqr);
+
+ // now do insertion of points
+ if(CTX::instance()->mesh.algo3d == ALGO_3D_FRONTAL_DEL)
+ bowyerWatsonFrontalLayers(gr, false);
+ else if(CTX::instance()->mesh.algo3d == ALGO_3D_FRONTAL_HEX)
+ bowyerWatsonFrontalLayers(gr, true);
+ else if(CTX::instance()->mesh.algo3d == ALGO_3D_MMG3D){
+ refineMeshMMG(gr);
+ }
+ else if(!Filler::get_nbr_new_vertices() && !LpSmoother::get_nbr_interior_vertices()){
+ insertVerticesInRegion(gr,2000000000,!_BL);
+ }
+}
+
+#if defined(HAVE_NETGEN)
+
+namespace nglib {
+#include "nglib_gmsh.h"
+}
+using namespace nglib;
+
+static void getAllBoundingVertices(GRegion *gr, std::set<MVertex*> &allBoundingVertices)
+{
+ std::list<GFace*> faces = gr->faces();
+ std::list<GFace*>::iterator it = faces.begin();
+
+ while (it != faces.end()){
+ GFace *gf = (*it);
+ for(unsigned int i = 0; i < gf->triangles.size(); i++){
+ MTriangle *t = gf->triangles[i];
+ for(int k = 0; k < 3; k++)
+ if(allBoundingVertices.find(t->getVertex(k)) == allBoundingVertices.end())
+ allBoundingVertices.insert(t->getVertex(k));
+ }
+ ++it;
+ }
+}
+
+Ng_Mesh *buildNetgenStructure(GRegion *gr, bool importVolumeMesh,
+ std::vector<MVertex*> &numberedV)
+{
+ Ng_Init();
+ Ng_Mesh *ngmesh = Ng_NewMesh();
+
+ std::set<MVertex*> allBoundingVertices;
+ getAllBoundingVertices(gr, allBoundingVertices);
+
+ std::set<MVertex*>::iterator itv = allBoundingVertices.begin();
+ int I = 1;
+ while(itv != allBoundingVertices.end()){
+ double tmp[3];
+ tmp[0] = (*itv)->x();
+ tmp[1] = (*itv)->y();
+ tmp[2] = (*itv)->z();
+ (*itv)->setIndex(I++);
+ numberedV.push_back(*itv);
+ Ng_AddPoint(ngmesh, tmp);
+ ++itv;
+ }
+
+ if(importVolumeMesh){
+ for(unsigned int i = 0; i < gr->mesh_vertices.size(); i++){
+ double tmp[3];
+ tmp[0] = gr->mesh_vertices[i]->x();
+ tmp[1] = gr->mesh_vertices[i]->y();
+ tmp[2] = gr->mesh_vertices[i]->z();
+ gr->mesh_vertices[i]->setIndex(I++);
+ Ng_AddPoint(ngmesh, tmp);
+ }
+ }
+ std::list<GFace*> faces = gr->faces();
+ std::list<GFace*>::iterator it = faces.begin();
+ while(it != faces.end()){
+ GFace *gf = (*it);
+ for(unsigned int i = 0; i< gf->triangles.size(); i++){
+ MTriangle *t = gf->triangles[i];
+ int tmp[3];
+ tmp[0] = t->getVertex(0)->getIndex();
+ tmp[1] = t->getVertex(1)->getIndex();
+ tmp[2] = t->getVertex(2)->getIndex();
+ Ng_AddSurfaceElement(ngmesh, NG_TRIG, tmp);
+ }
+ ++it;
+ }
+
+ if(importVolumeMesh){
+ for(unsigned int i = 0; i< gr->tetrahedra.size(); i++){
+ MTetrahedron *t = gr->tetrahedra[i];
+ // netgen expects tet with negative volume
+ if(t->getVolumeSign() > 0) t->reverse();
+ int tmp[4];
+ tmp[0] = t->getVertex(0)->getIndex();
+ tmp[1] = t->getVertex(1)->getIndex();
+ tmp[2] = t->getVertex(2)->getIndex();
+ tmp[3] = t->getVertex(3)->getIndex();
+ Ng_AddVolumeElement(ngmesh, NG_TET, tmp);
+ }
+ }
+
+ return ngmesh;
+}
+
+void TransferVolumeMesh(GRegion *gr, Ng_Mesh *ngmesh,
+ std::vector<MVertex*> &numberedV)
+{
+ // Gets total number of vertices of Netgen's mesh
+ int nbv = Ng_GetNP(ngmesh);
+ if(!nbv) return;
+
+ int nbpts = numberedV.size();
+
+ // Create new volume vertices
+ for(int i = nbpts; i < nbv; i++){
+ double tmp[3];
+ Ng_GetPoint(ngmesh, i + 1, tmp);
+ MVertex *v = new MVertex (tmp[0], tmp[1], tmp[2], gr);
+ numberedV.push_back(v);
+ gr->mesh_vertices.push_back(v);
+ }
+
+ // Get total number of simplices of Netgen's mesh
+ int nbe = Ng_GetNE(ngmesh);
+
+ // Create new volume simplices
+ for(int i = 0; i < nbe; i++){
+ int tmp[4];
+ Ng_GetVolumeElement(ngmesh, i + 1, tmp);
+ MTetrahedron *t = new MTetrahedron(numberedV[tmp[0] - 1],
+ numberedV[tmp[1] - 1],
+ numberedV[tmp[2] - 1],
+ numberedV[tmp[3] - 1]);
+ gr->tetrahedra.push_back(t);
+ }
+}
+
+#endif
+
+void deMeshGRegion::operator() (GRegion *gr)
+{
+ if(gr->geomType() == GEntity::DiscreteVolume) return;
+ gr->deleteMesh();
+}
+
+/// X_1 (1-u-v) + X_2 u + X_3 v = P_x + t N_x
+/// Y_1 (1-u-v) + Y_2 u + Y_3 v = P_y + t N_y
+/// Z_1 (1-u-v) + Z_2 u + Z_3 v = P_z + t N_z
+
+int intersect_line_triangle(double X[3], double Y[3], double Z[3] ,
+ double P[3], double N[3], const double eps_prec)
+{
+ double mat[3][3], det;
+ double b[3], res[3];
+
+ mat[0][0] = X[1] - X[0];
+ mat[0][1] = X[2] - X[0];
+ mat[0][2] = N[0];
+
+ mat[1][0] = Y[1] - Y[0];
+ mat[1][1] = Y[2] - Y[0];
+ mat[1][2] = N[1];
+
+ mat[2][0] = Z[1] - Z[0];
+ mat[2][1] = Z[2] - Z[0];
+ mat[2][2] = N[2];
+
+ b[0] = P[0] - X[0];
+ b[1] = P[1] - Y[0];
+ b[2] = P[2] - Z[0];
+
+ if(!sys3x3_with_tol(mat, b, res, &det))
+ {
+ return 0;
+ }
+ // printf("coucou %g %g %g\n",res[0],res[1],res[2]);
+ if(res[0] >= eps_prec && res[0] <= 1.0 - eps_prec &&
+ res[1] >= eps_prec && res[1] <= 1.0 - eps_prec &&
+ 1 - res[0] - res[1] >= eps_prec && 1 - res[0] - res[1] <= 1.0 - eps_prec){
+ // the line clearly intersects the triangle
+ return (res[2] > 0) ? 1 : 0;
+ }
+ else if(res[0] < -eps_prec || res[0] > 1.0 + eps_prec ||
+ res[1] < -eps_prec || res[1] > 1.0 + eps_prec ||
+ 1 - res[0] - res[1] < -eps_prec || 1 - res[0] - res[1] > 1.0 + eps_prec){
+ // the line clearly does NOT intersect the triangle
+ return 0;
+ }
+ else{
+ printf("non robust stuff\n");
+ // the intersection is not robust, try another triangle
+ return -10000;
+ }
+}
+
+void setRand(double r[6])
+{
+ for(int i = 0; i < 6; i++)
+ r[i] = 0.0001 * ((double)rand() / (double)RAND_MAX);
+}
+
+void meshNormalsPointOutOfTheRegion(GRegion *gr)
+{
+ std::list<GFace*> faces = gr->faces();
+ std::list<GFace*>::iterator it = faces.begin();
+
+ //for (std::list<GFace*>::iterator itb = faces.begin(); itb != faces.end(); itb ++)
+ // printf("face=%d size =%d\n", (*itb)->tag(), faces.size());
+
+ double rrr[6];
+ setRand(rrr);
+
+ while(it != faces.end()){
+ GFace *gf = (*it);
+ int nb_intersect = 0;
+ for(unsigned int i = 0; i < gf->triangles.size(); i++){
+ MTriangle *t = gf->triangles[i];
+ double X[3] = {t->getVertex(0)->x(), t->getVertex(1)->x(), t->getVertex(2)->x()};
+ double Y[3] = {t->getVertex(0)->y(), t->getVertex(1)->y(), t->getVertex(2)->y()};
+ double Z[3] = {t->getVertex(0)->z(), t->getVertex(1)->z(), t->getVertex(2)->z()};
+ double P[3] = {(X[0] + X[1] + X[2]) / 3.,
+ (Y[0] + Y[1] + Y[2]) / 3.,
+ (Z[0] + Z[1] + Z[2]) / 3.};
+ double v1[3] = {X[0] - X[1], Y[0] - Y[1], Z[0] - Z[1]};
+ double v2[3] = {X[2] - X[1], Y[2] - Y[1], Z[2] - Z[1]};
+ double N[3];
+ prodve(v1, v2, N);
+ norme(v1);
+ norme(v2);
+ norme(N);
+ N[0] += rrr[0] * v1[0] + rrr[1] * v2[0];
+ N[1] += rrr[2] * v1[1] + rrr[3] * v2[1];
+ N[2] += rrr[4] * v1[2] + rrr[5] * v2[2];
+ norme(N);
+ std::list<GFace*>::iterator it_b = faces.begin();
+ while(it_b != faces.end()){
+ GFace *gf_b = (*it_b);
+ for(unsigned int i_b = 0; i_b < gf_b->triangles.size(); i_b++){
+ MTriangle *t_b = gf_b->triangles[i_b];
+ if(t_b != t){
+ double X_b[3] = {t_b->getVertex(0)->x(), t_b->getVertex(1)->x(),
+ t_b->getVertex(2)->x()};
+ double Y_b[3] = {t_b->getVertex(0)->y(), t_b->getVertex(1)->y(),
+ t_b->getVertex(2)->y()};
+ double Z_b[3] = {t_b->getVertex(0)->z(), t_b->getVertex(1)->z(),
+ t_b->getVertex(2)->z()};
+ int inters = intersect_line_triangle(X_b, Y_b, Z_b, P, N, 1.e-9);
+ nb_intersect += inters;
+ }
+ }
+ ++it_b;
+ }
+ Msg::Info("Region %d Face %d, %d intersect", gr->tag(), gf->tag(), nb_intersect);
+ if(nb_intersect >= 0) break; // negative value means intersection is not "robust"
+ }
+
+ if(nb_intersect < 0){
+ setRand(rrr);
+ }
+ else{
+ if(nb_intersect % 2 == 1){
+ // odd nb of intersections: the normal points inside the region
+ for(unsigned int i = 0; i < gf->triangles.size(); i++){
+ gf->triangles[i]->reverse();
+ }
+ }
+ ++it;
+ }
+ }
+
+ // FILE *fp = Fopen("debug.pos", "w");
+ // fprintf(fp, "View \"debug\" {\n");
+ // for(std::list<GFace*>::iterator it = faces.begin(); it != faces.end(); it++)
+ // for(unsigned int i = 0; i < (*it)->triangles.size(); i++)
+ // (*it)->triangles[i]->writePOS(fp, 1., (*it)->tag());
+ // fprintf(fp, "};\n");
+ // fclose(fp);
+}
+
+void meshGRegion::operator() (GRegion *gr)
+{
+
+ gr->model()->setCurrentMeshEntity(gr);
+
+ if(gr->geomType() == GEntity::DiscreteVolume) return;
+ if(gr->meshAttributes.method == MESH_NONE) return;
+ if(CTX::instance()->mesh.meshOnlyVisible && !gr->getVisibility()) return;
+
+ ExtrudeParams *ep = gr->meshAttributes.extrude;
+ if(ep && ep->mesh.ExtrudeMesh) return;
+
+ // destroy the mesh if it exists
+ deMeshGRegion dem;
+ dem(gr);
+
+ if(MeshTransfiniteVolume(gr)) return;
+
+ std::list<GFace*> faces = gr->faces();
+
+ // sanity check for frontal algo
+ if(CTX::instance()->mesh.algo3d == ALGO_3D_FRONTAL){
+ for(std::list<GFace*>::iterator it = faces.begin(); it != faces.end(); it++){
+ if((*it)->quadrangles.size()){
+ Msg::Error("Cannot use frontal 3D algorithm with quadrangles on boundary");
+ return;
+ }
+ }
+ }
+
+ // replace discreteFaces by their compounds
+ {
+ std::set<GFace*> mySet;
+ std::list<GFace*>::iterator it = faces.begin();
+ while(it != faces.end()){
+ if((*it)->getCompound())
+ mySet.insert((*it)->getCompound());
+ else
+ mySet.insert(*it);
+ ++it;
+ }
+ faces.clear();
+ faces.insert(faces.begin(), mySet.begin(), mySet.end());
+ gr->set(faces);
+ }
+
+ if(CTX::instance()->mesh.algo3d != ALGO_3D_FRONTAL){
+ delaunay.push_back(gr);
+ }
+ else if(CTX::instance()->mesh.algo3d == ALGO_3D_FRONTAL){
+#if !defined(HAVE_NETGEN)
+ Msg::Error("Netgen is not compiled in this version of Gmsh");
+#else
+ Msg::Info("Meshing volume %d (Frontal)", gr->tag());
+ // orient the triangles of with respect to this region
+ meshNormalsPointOutOfTheRegion(gr);
+ std::vector<MVertex*> numberedV;
+ Ng_Mesh *ngmesh = buildNetgenStructure(gr, false, numberedV);
+ Ng_GenerateVolumeMesh(ngmesh, CTX::instance()->mesh.lcMax);
+ TransferVolumeMesh(gr, ngmesh, numberedV);
+ Ng_DeleteMesh(ngmesh);
+ Ng_Exit();
+#endif
+ }
+
+}
+
+void optimizeMeshGRegionNetgen::operator() (GRegion *gr)
+{
+ gr->model()->setCurrentMeshEntity(gr);
+
+ if(gr->geomType() == GEntity::DiscreteVolume) return;
+
+ // don't optimize transfinite or extruded meshes
+ if(gr->meshAttributes.method == MESH_TRANSFINITE) return;
+ ExtrudeParams *ep = gr->meshAttributes.extrude;
+ if(ep && ep->mesh.ExtrudeMesh && ep->geo.Mode == EXTRUDED_ENTITY) return;
+
+#if !defined(HAVE_NETGEN)
+ Msg::Error("Netgen is not compiled in this version of Gmsh");
+#else
+ Msg::Info("Optimizing volume %d", gr->tag());
+ // import mesh into netgen, including volume tets
+ std::vector<MVertex*> numberedV;
+ Ng_Mesh *ngmesh = buildNetgenStructure(gr, true, numberedV);
+ // delete volume vertices and tets
+ deMeshGRegion dem;
+ dem(gr);
+ // optimize mesh
+ Ng_OptimizeVolumeMesh(ngmesh, CTX::instance()->mesh.lcMax);
+ TransferVolumeMesh(gr, ngmesh, numberedV);
+ Ng_DeleteMesh(ngmesh);
+ Ng_Exit();
+#endif
+}
+
+void optimizeMeshGRegionGmsh::operator() (GRegion *gr)
+{
+ gr->model()->setCurrentMeshEntity(gr);
+
+ if(gr->geomType() == GEntity::DiscreteVolume) return;
+
+ // don't optimize extruded meshes
+ if(gr->meshAttributes.method == MESH_TRANSFINITE) return;
+ ExtrudeParams *ep = gr->meshAttributes.extrude;
+ if(ep && ep->mesh.ExtrudeMesh && ep->geo.Mode == EXTRUDED_ENTITY) return;
+
+ Msg::Info("Optimizing volume %d", gr->tag());
+ optimizeMesh(gr, QMTET_2);
+}
+
+
+bool buildFaceSearchStructure(GModel *model, fs_cont &search)
+{
+ search.clear();
+
+ std::set<GFace*> faces_to_consider;
+ GModel::riter rit = model->firstRegion();
+ while(rit != model->lastRegion()){
+ std::list <GFace *> _faces = (*rit)->faces();
+ faces_to_consider.insert( _faces.begin(),_faces.end());
+ rit++;
+ }
+
+ std::set<GFace*>::iterator fit = faces_to_consider.begin();
+ while(fit != faces_to_consider.end()){
+ for(unsigned int i = 0; i < (*fit)->getNumMeshElements(); i++){
+ MFace ff = (*fit)->getMeshElement(i)->getFace(0);
+ search[ff] = *fit;
+ }
+ ++fit;
+ }
+ return true;
+}
+
+bool buildEdgeSearchStructure(GModel *model, es_cont &search)
+{
+ search.clear();
+
+ GModel::eiter eit = model->firstEdge();
+ while(eit != model->lastEdge()){
+ for(unsigned int i = 0; i < (*eit)->lines.size(); i++){
+ MVertex *p1 = (*eit)->lines[i]->getVertex(0);
+ MVertex *p2 = (*eit)->lines[i]->getVertex(1);
+ MVertex *p = std::min(p1, p2);
+ search.insert(std::pair<MVertex*, std::pair<MLine*, GEdge*> >
+ (p, std::pair<MLine*, GEdge*>((*eit)->lines[i], *eit)));
+ }
+ ++eit;
+ }
+ return true;
+}
+
+GFace *findInFaceSearchStructure(MVertex *p1, MVertex *p2, MVertex *p3,
+ const fs_cont &search)
+{
+ MFace ff(p1,p2,p3);
+ fs_cont::const_iterator it = search.find(ff);
+ if (it == search.end())return 0;
+ return it->second;
+}
+
+GFace *findInFaceSearchStructure(const MFace &ff,
+ const fs_cont &search)
+{
+ fs_cont::const_iterator it = search.find(ff);
+ if (it == search.end())return 0;
+ return it->second;
+}
+
+
+GEdge *findInEdgeSearchStructure(MVertex *p1, MVertex *p2, const es_cont &search)
+{
+ MVertex *p = std::min(p1, p2);
+
+ for(es_cont::const_iterator it = search.lower_bound(p);
+ it != search.upper_bound(p);
+ ++it){
+ MLine *l = it->second.first;
+ GEdge *ge = it->second.second;
+ if((l->getVertex(0) == p1 || l->getVertex(0) == p2) &&
+ (l->getVertex(1) == p1 || l->getVertex(1) == p2))
+ return ge;
+ }
+ return 0;
+}
diff --git a/Mesh/meshGRegionBoundaryRecovery.cpp b/Mesh/meshGRegionBoundaryRecovery.cpp
new file mode 100644
index 0000000000000000000000000000000000000000..b68cb6009622eec02c141d37d45e61f40c8a3186
--- /dev/null
+++ b/Mesh/meshGRegionBoundaryRecovery.cpp
@@ -0,0 +1,15170 @@
+// Gmsh - Copyright (C) 1997-2014 C. Geuzaine, J.-F. Remacle
+//
+// See the LICENSE.txt file for license information. Please report all
+// bugs and problems to the public mailing list <gmsh@geuz.org>.
+//
+// Contributed by Hang Si
+
+#include <stdio.h>
+#include <math.h>
+#include <assert.h>
+#include <string.h>
+#include "meshGRegionBoundaryRecovery.h"
+#include "robustPredicates.h"
+#include "GFace.h"
+#include "MVertex.h"
+#include "MLine.h"
+#include "MTriangle.h"
+#include "MTetrahedron.h"
+#include "meshGRegionDelaunayInsertion.h"
+#include "OS.h"
+
+#define orient3d robustPredicates::orient3d
+#define insphere robustPredicates::insphere
+
+#ifdef _MSC_VER // Microsoft Visual C++
+# ifdef _WIN64
+ typedef __int64 intptr_t;
+ typedef unsigned __int64 uintptr_t;
+# else // not _WIN64
+ typedef int intptr_t;
+ typedef unsigned int uintptr_t;
+# endif
+#else // not Visual C++
+# include <stdint.h>
+#endif
+
+///////////////////////////////////////////////////////////////////////////////
+// //
+// Primitives for tetrahedra //
+// //
+///////////////////////////////////////////////////////////////////////////////
+
+inline meshGRegionBoundaryRecovery::tetrahedron
+ meshGRegionBoundaryRecovery::encode(triface& t) {
+ return (tetrahedron) ((uintptr_t) (t).tet | (uintptr_t) (t).ver);
+}
+
+inline meshGRegionBoundaryRecovery::tetrahedron
+ meshGRegionBoundaryRecovery::encode2(tetrahedron* ptr, int ver) {
+ return (tetrahedron) ((uintptr_t) (ptr) | (uintptr_t) (ver));
+}
+
+inline void meshGRegionBoundaryRecovery::decode(tetrahedron ptr, triface& t) {
+ (t).ver = (int) ((uintptr_t) (ptr) & (uintptr_t) 15);
+ (t).tet = (tetrahedron *) ((uintptr_t) (ptr) ^ (uintptr_t) (t).ver);
+}
+
+inline void meshGRegionBoundaryRecovery::bond(triface& t1, triface& t2) {
+ t1.tet[t1.ver & 3] = encode2(t2.tet, bondtbl[t1.ver][t2.ver]);
+ t2.tet[t2.ver & 3] = encode2(t1.tet, bondtbl[t2.ver][t1.ver]);
+}
+
+inline void meshGRegionBoundaryRecovery::dissolve(triface& t) {
+ t.tet[t.ver & 3] = NULL;
+}
+
+inline void meshGRegionBoundaryRecovery::enext(triface& t1, triface& t2) {
+ t2.tet = t1.tet;
+ t2.ver = enexttbl[t1.ver];
+}
+
+inline void meshGRegionBoundaryRecovery::enextself(triface& t) {
+ t.ver = enexttbl[t.ver];
+}
+
+inline void meshGRegionBoundaryRecovery::eprev(triface& t1, triface& t2) {
+ t2.tet = t1.tet;
+ t2.ver = eprevtbl[t1.ver];
+}
+
+inline void meshGRegionBoundaryRecovery::eprevself(triface& t) {
+ t.ver = eprevtbl[t.ver];
+}
+
+inline void meshGRegionBoundaryRecovery::esym(triface& t1, triface& t2) {
+ (t2).tet = (t1).tet;
+ (t2).ver = esymtbl[(t1).ver];
+}
+
+inline void meshGRegionBoundaryRecovery::esymself(triface& t) {
+ (t).ver = esymtbl[(t).ver];
+}
+
+inline void meshGRegionBoundaryRecovery::enextesym(triface& t1, triface& t2) {
+ t2.tet = t1.tet;
+ t2.ver = enextesymtbl[t1.ver];
+}
+
+inline void meshGRegionBoundaryRecovery::enextesymself(triface& t) {
+ t.ver = enextesymtbl[t.ver];
+}
+
+inline void meshGRegionBoundaryRecovery::eprevesym(triface& t1, triface& t2) {
+ t2.tet = t1.tet;
+ t2.ver = eprevesymtbl[t1.ver];
+}
+
+inline void meshGRegionBoundaryRecovery::eprevesymself(triface& t) {
+ t.ver = eprevesymtbl[t.ver];
+}
+
+inline void meshGRegionBoundaryRecovery::eorgoppo(triface& t1, triface& t2) {
+ t2.tet = t1.tet;
+ t2.ver = eorgoppotbl[t1.ver];
+}
+
+inline void meshGRegionBoundaryRecovery::eorgoppoself(triface& t) {
+ t.ver = eorgoppotbl[t.ver];
+}
+
+inline void meshGRegionBoundaryRecovery::edestoppo(triface& t1, triface& t2) {
+ t2.tet = t1.tet;
+ t2.ver = edestoppotbl[t1.ver];
+}
+
+inline void meshGRegionBoundaryRecovery::edestoppoself(triface& t) {
+ t.ver = edestoppotbl[t.ver];
+}
+
+inline void meshGRegionBoundaryRecovery::fsym(triface& t1, triface& t2) {
+ decode((t1).tet[(t1).ver & 3], t2);
+ t2.ver = fsymtbl[t1.ver][t2.ver];
+}
+
+#define fsymself(t) \
+ t1ver = (t).ver; \
+ decode((t).tet[(t).ver & 3], (t));\
+ (t).ver = fsymtbl[t1ver][(t).ver]
+
+inline void meshGRegionBoundaryRecovery::fnext(triface& t1, triface& t2) {
+ decode(t1.tet[facepivot1[t1.ver]], t2);
+ t2.ver = facepivot2[t1.ver][t2.ver];
+}
+
+#define fnextself(t) \
+ t1ver = (t).ver; \
+ decode((t).tet[facepivot1[(t).ver]], (t)); \
+ (t).ver = facepivot2[t1ver][(t).ver]
+
+
+inline meshGRegionBoundaryRecovery::point
+ meshGRegionBoundaryRecovery::org(triface& t) {
+ return (point) (t).tet[orgpivot[(t).ver]];
+}
+
+inline meshGRegionBoundaryRecovery::point
+ meshGRegionBoundaryRecovery:: dest(triface& t) {
+ return (point) (t).tet[destpivot[(t).ver]];
+}
+
+inline meshGRegionBoundaryRecovery::point
+ meshGRegionBoundaryRecovery::apex(triface& t) {
+ return (point) (t).tet[apexpivot[(t).ver]];
+}
+
+inline meshGRegionBoundaryRecovery::point
+ meshGRegionBoundaryRecovery::oppo(triface& t) {
+ return (point) (t).tet[oppopivot[(t).ver]];
+}
+
+inline void meshGRegionBoundaryRecovery::setorg(triface& t, point p) {
+ (t).tet[orgpivot[(t).ver]] = (tetrahedron) (p);
+}
+
+inline void meshGRegionBoundaryRecovery::setdest(triface& t, point p) {
+ (t).tet[destpivot[(t).ver]] = (tetrahedron) (p);
+}
+
+inline void meshGRegionBoundaryRecovery:: setapex(triface& t, point p) {
+ (t).tet[apexpivot[(t).ver]] = (tetrahedron) (p);
+}
+
+inline void meshGRegionBoundaryRecovery::setoppo(triface& t, point p) {
+ (t).tet[oppopivot[(t).ver]] = (tetrahedron) (p);
+}
+
+#define setvertices(t, torg, tdest, tapex, toppo) \
+ (t).tet[orgpivot[(t).ver]] = (tetrahedron) (torg);\
+ (t).tet[destpivot[(t).ver]] = (tetrahedron) (tdest); \
+ (t).tet[apexpivot[(t).ver]] = (tetrahedron) (tapex); \
+ (t).tet[oppopivot[(t).ver]] = (tetrahedron) (toppo)
+
+inline REAL meshGRegionBoundaryRecovery::elemattribute(tetrahedron* ptr,
+ int attnum) {
+ return ((REAL *) (ptr))[elemattribindex + attnum];
+}
+
+inline void meshGRegionBoundaryRecovery::setelemattribute(tetrahedron* ptr,
+ int attnum,
+ REAL value) {
+ ((REAL *) (ptr))[elemattribindex + attnum] = value;
+}
+
+inline REAL meshGRegionBoundaryRecovery::volumebound(tetrahedron* ptr) {
+ return ((REAL *) (ptr))[volumeboundindex];
+}
+
+inline void meshGRegionBoundaryRecovery::setvolumebound(tetrahedron* ptr,
+ REAL value) {
+ ((REAL *) (ptr))[volumeboundindex] = value;
+}
+
+inline int meshGRegionBoundaryRecovery::elemindex(tetrahedron* ptr) {
+ int *iptr = (int *) &(ptr[10]);
+ return iptr[0];
+}
+
+inline void meshGRegionBoundaryRecovery::setelemindex(tetrahedron* ptr,
+ int value) {
+ int *iptr = (int *) &(ptr[10]);
+ iptr[0] = value;
+}
+
+inline int meshGRegionBoundaryRecovery::elemmarker(tetrahedron* ptr) {
+ return ((int *) (ptr))[elemmarkerindex];
+}
+
+inline void meshGRegionBoundaryRecovery::setelemmarker(tetrahedron* ptr,
+ int value) {
+ ((int *) (ptr))[elemmarkerindex] = value;
+}
+
+inline void meshGRegionBoundaryRecovery::infect(triface& t) {
+ ((int *) (t.tet))[elemmarkerindex] |= 1;
+}
+
+inline void meshGRegionBoundaryRecovery::uninfect(triface& t) {
+ ((int *) (t.tet))[elemmarkerindex] &= ~1;
+}
+
+inline bool meshGRegionBoundaryRecovery::infected(triface& t) {
+ return (((int *) (t.tet))[elemmarkerindex] & 1) != 0;
+}
+
+inline void meshGRegionBoundaryRecovery::marktest(triface& t) {
+ ((int *) (t.tet))[elemmarkerindex] |= 2;
+}
+
+inline void meshGRegionBoundaryRecovery::unmarktest(triface& t) {
+ ((int *) (t.tet))[elemmarkerindex] &= ~2;
+}
+
+inline bool meshGRegionBoundaryRecovery::marktested(triface& t) {
+ return (((int *) (t.tet))[elemmarkerindex] & 2) != 0;
+}
+
+inline void meshGRegionBoundaryRecovery::markface(triface& t) {
+ ((int *) (t.tet))[elemmarkerindex] |= (4 << (t.ver & 3));
+}
+
+inline void meshGRegionBoundaryRecovery::unmarkface(triface& t) {
+ ((int *) (t.tet))[elemmarkerindex] &= ~(4 << (t.ver & 3));
+}
+
+inline bool meshGRegionBoundaryRecovery::facemarked(triface& t) {
+ return (((int *) (t.tet))[elemmarkerindex] & (4 << (t.ver & 3))) != 0;
+}
+
+inline void meshGRegionBoundaryRecovery::markedge(triface& t) {
+ ((int *) (t.tet))[elemmarkerindex] |= (int) (64 << ver2edge[(t).ver]);
+}
+
+inline void meshGRegionBoundaryRecovery::unmarkedge(triface& t) {
+ ((int *) (t.tet))[elemmarkerindex] &= ~(int) (64 << ver2edge[(t).ver]);
+}
+
+inline bool meshGRegionBoundaryRecovery::edgemarked(triface& t) {
+ return (((int *) (t.tet))[elemmarkerindex] &
+ (int) (64 << ver2edge[(t).ver])) != 0;
+}
+
+inline void meshGRegionBoundaryRecovery::marktest2(triface& t) {
+ ((int *) (t.tet))[elemmarkerindex] |= (int) (4096);
+}
+
+inline void meshGRegionBoundaryRecovery::unmarktest2(triface& t) {
+ ((int *) (t.tet))[elemmarkerindex] &= ~(int) (4096);
+}
+
+inline bool meshGRegionBoundaryRecovery::marktest2ed(triface& t) {
+ return (((int *) (t.tet))[elemmarkerindex] & (int) (4096)) != 0;
+}
+
+inline int meshGRegionBoundaryRecovery::elemcounter(triface& t) {
+ return (((int *) (t.tet))[elemmarkerindex]) >> 16;
+}
+
+inline void meshGRegionBoundaryRecovery::setelemcounter(triface& t, int value) {
+ int c = ((int *) (t.tet))[elemmarkerindex];
+ // Clear the old counter while keep the other flags.
+ c &= 65535; // sum_{i=0^15} 2^i
+ c |= (value << 16);
+ ((int *) (t.tet))[elemmarkerindex] = c;
+}
+
+inline void meshGRegionBoundaryRecovery::increaseelemcounter(triface& t) {
+ int c = elemcounter(t);
+ setelemcounter(t, c + 1);
+}
+
+inline void meshGRegionBoundaryRecovery::decreaseelemcounter(triface& t) {
+ int c = elemcounter(t);
+ setelemcounter(t, c - 1);
+}
+
+inline bool meshGRegionBoundaryRecovery::ishulltet(triface& t) {
+ return (point) (t).tet[7] == dummypoint;
+}
+
+inline bool meshGRegionBoundaryRecovery::isdeadtet(triface& t) {
+ return ((t.tet == NULL) || (t.tet[4] == NULL));
+}
+
+///////////////////////////////////////////////////////////////////////////////
+// //
+// Primitives for subfaces and subsegments //
+// //
+///////////////////////////////////////////////////////////////////////////////
+
+inline void meshGRegionBoundaryRecovery::sdecode(shellface sptr, face& s) {
+ s.shver = (int) ((uintptr_t) (sptr) & (uintptr_t) 7);
+ s.sh = (shellface *) ((uintptr_t) (sptr) ^ (uintptr_t) (s.shver));
+}
+
+inline meshGRegionBoundaryRecovery::shellface
+ meshGRegionBoundaryRecovery::sencode(face& s) {
+ return (shellface) ((uintptr_t) s.sh | (uintptr_t) s.shver);
+}
+
+inline meshGRegionBoundaryRecovery::shellface
+ meshGRegionBoundaryRecovery::sencode2(shellface *sh, int shver) {
+ return (shellface) ((uintptr_t) sh | (uintptr_t) shver);
+}
+
+inline void meshGRegionBoundaryRecovery::sbond(face& s1, face& s2) {
+ s1.sh[s1.shver >> 1] = sencode(s2);
+ s2.sh[s2.shver >> 1] = sencode(s1);
+}
+
+inline void meshGRegionBoundaryRecovery::sbond1(face& s1, face& s2) {
+ s1.sh[s1.shver >> 1] = sencode(s2);
+}
+
+inline void meshGRegionBoundaryRecovery::sdissolve(face& s) {
+ s.sh[s.shver >> 1] = NULL;
+}
+
+inline void meshGRegionBoundaryRecovery::spivot(face& s1, face& s2) {
+ shellface sptr = s1.sh[s1.shver >> 1];
+ sdecode(sptr, s2);
+}
+
+inline void meshGRegionBoundaryRecovery::spivotself(face& s) {
+ shellface sptr = s.sh[s.shver >> 1];
+ sdecode(sptr, s);
+}
+
+inline meshGRegionBoundaryRecovery::point
+ meshGRegionBoundaryRecovery::sorg(face& s) {
+ return (point) s.sh[sorgpivot[s.shver]];
+}
+
+inline meshGRegionBoundaryRecovery::point
+ meshGRegionBoundaryRecovery::sdest(face& s) {
+ return (point) s.sh[sdestpivot[s.shver]];
+}
+
+inline meshGRegionBoundaryRecovery::point
+ meshGRegionBoundaryRecovery::sapex(face& s) {
+ return (point) s.sh[sapexpivot[s.shver]];
+}
+
+inline void meshGRegionBoundaryRecovery::setsorg(face& s, point pointptr) {
+ s.sh[sorgpivot[s.shver]] = (shellface) pointptr;
+}
+
+inline void meshGRegionBoundaryRecovery::setsdest(face& s, point pointptr) {
+ s.sh[sdestpivot[s.shver]] = (shellface) pointptr;
+}
+
+inline void meshGRegionBoundaryRecovery::setsapex(face& s, point pointptr) {
+ s.sh[sapexpivot[s.shver]] = (shellface) pointptr;
+}
+
+#define setshvertices(s, pa, pb, pc)\
+ setsorg(s, pa);\
+ setsdest(s, pb);\
+ setsapex(s, pc)
+
+inline void meshGRegionBoundaryRecovery::sesym(face& s1, face& s2) {
+ s2.sh = s1.sh;
+ s2.shver = (s1.shver ^ 1); // Inverse the last bit.
+}
+
+inline void meshGRegionBoundaryRecovery::sesymself(face& s) {
+ s.shver ^= 1;
+}
+
+inline void meshGRegionBoundaryRecovery::senext(face& s1, face& s2) {
+ s2.sh = s1.sh;
+ s2.shver = snextpivot[s1.shver];
+}
+
+inline void meshGRegionBoundaryRecovery::senextself(face& s) {
+ s.shver = snextpivot[s.shver];
+}
+
+inline void meshGRegionBoundaryRecovery::senext2(face& s1, face& s2) {
+ s2.sh = s1.sh;
+ s2.shver = snextpivot[snextpivot[s1.shver]];
+}
+
+inline void meshGRegionBoundaryRecovery::senext2self(face& s) {
+ s.shver = snextpivot[snextpivot[s.shver]];
+}
+
+
+inline REAL meshGRegionBoundaryRecovery::areabound(face& s) {
+ return ((REAL *) (s.sh))[areaboundindex];
+}
+
+inline void meshGRegionBoundaryRecovery::setareabound(face& s, REAL value) {
+ ((REAL *) (s.sh))[areaboundindex] = value;
+}
+
+inline int meshGRegionBoundaryRecovery::shellmark(face& s) {
+ return ((int *) (s.sh))[shmarkindex];
+}
+
+inline void meshGRegionBoundaryRecovery::setshellmark(face& s, int value) {
+ ((int *) (s.sh))[shmarkindex] = value;
+}
+
+inline void meshGRegionBoundaryRecovery::sinfect(face& s) {
+ ((int *) ((s).sh))[shmarkindex+1] =
+ (((int *) ((s).sh))[shmarkindex+1] | (int) 1);
+}
+
+inline void meshGRegionBoundaryRecovery::suninfect(face& s) {
+ ((int *) ((s).sh))[shmarkindex+1] =
+ (((int *) ((s).sh))[shmarkindex+1] & ~(int) 1);
+}
+
+inline bool meshGRegionBoundaryRecovery::sinfected(face& s) {
+ return (((int *) ((s).sh))[shmarkindex+1] & (int) 1) != 0;
+}
+
+inline void meshGRegionBoundaryRecovery::smarktest(face& s) {
+ ((int *) ((s).sh))[shmarkindex+1] =
+ (((int *)((s).sh))[shmarkindex+1] | (int) 2);
+}
+
+inline void meshGRegionBoundaryRecovery::sunmarktest(face& s) {
+ ((int *) ((s).sh))[shmarkindex+1] =
+ (((int *)((s).sh))[shmarkindex+1] & ~(int)2);
+}
+
+inline bool meshGRegionBoundaryRecovery::smarktested(face& s) {
+ return ((((int *) ((s).sh))[shmarkindex+1] & (int) 2) != 0);
+}
+
+inline void meshGRegionBoundaryRecovery::smarktest2(face& s) {
+ ((int *) ((s).sh))[shmarkindex+1] =
+ (((int *)((s).sh))[shmarkindex+1] | (int) 4);
+}
+
+inline void meshGRegionBoundaryRecovery::sunmarktest2(face& s) {
+ ((int *) ((s).sh))[shmarkindex+1] =
+ (((int *)((s).sh))[shmarkindex+1] & ~(int)4);
+}
+
+inline bool meshGRegionBoundaryRecovery::smarktest2ed(face& s) {
+ return ((((int *) ((s).sh))[shmarkindex+1] & (int) 4) != 0);
+}
+
+inline void meshGRegionBoundaryRecovery::smarktest3(face& s) {
+ ((int *) ((s).sh))[shmarkindex+1] =
+ (((int *)((s).sh))[shmarkindex+1] | (int) 8);
+}
+
+inline void meshGRegionBoundaryRecovery::sunmarktest3(face& s) {
+ ((int *) ((s).sh))[shmarkindex+1] =
+ (((int *)((s).sh))[shmarkindex+1] & ~(int)8);
+}
+
+inline bool meshGRegionBoundaryRecovery::smarktest3ed(face& s) {
+ return ((((int *) ((s).sh))[shmarkindex+1] & (int) 8) != 0);
+}
+
+inline void meshGRegionBoundaryRecovery::setfacetindex(face& s, int value) {
+ ((int *) (s.sh))[shmarkindex + 2] = value;
+}
+
+inline int meshGRegionBoundaryRecovery::getfacetindex(face& s) {
+ return ((int *) (s.sh))[shmarkindex + 2];
+}
+
+///////////////////////////////////////////////////////////////////////////////
+// //
+// Primitives for interacting between tetrahedra and subfaces //
+// //
+///////////////////////////////////////////////////////////////////////////////
+
+inline void meshGRegionBoundaryRecovery::tsbond(triface& t, face& s) {
+ if ((t).tet[9] == NULL) {
+ // Allocate space for this tet.
+ (t).tet[9] = (tetrahedron) tet2subpool->alloc();
+ // Initialize.
+ for (int i = 0; i < 4; i++) {
+ ((shellface *) (t).tet[9])[i] = NULL;
+ }
+ }
+ // Bond t <== s.
+ ((shellface *) (t).tet[9])[(t).ver & 3] =
+ sencode2((s).sh, tsbondtbl[t.ver][s.shver]);
+ // Bond s <== t.
+ s.sh[9 + ((s).shver & 1)] =
+ (shellface) encode2((t).tet, stbondtbl[t.ver][s.shver]);
+}
+
+inline void meshGRegionBoundaryRecovery::tspivot(triface& t, face& s) {
+ if ((t).tet[9] == NULL) {
+ (s).sh = NULL;
+ return;
+ }
+ // Get the attached subface s.
+ sdecode(((shellface *) (t).tet[9])[(t).ver & 3], (s));
+ (s).shver = tspivottbl[t.ver][s.shver];
+}
+
+// Quickly check if the handle (t, v) is a subface.
+#define issubface(t) \
+ ((t).tet[9] && ((t).tet[9])[(t).ver & 3])
+
+inline void meshGRegionBoundaryRecovery::stpivot(face& s, triface& t) {
+ decode((tetrahedron) s.sh[9 + (s.shver & 1)], t);
+ if ((t).tet == NULL) {
+ return;
+ }
+ (t).ver = stpivottbl[t.ver][s.shver];
+}
+
+#define isshtet(s) \
+ ((s).sh[9 + ((s).shver & 1)])
+
+inline void meshGRegionBoundaryRecovery::tsdissolve(triface& t) {
+ if ((t).tet[9] != NULL) {
+ ((shellface *) (t).tet[9])[(t).ver & 3] = NULL;
+ }
+}
+
+inline void meshGRegionBoundaryRecovery::stdissolve(face& s) {
+ (s).sh[9] = NULL;
+ (s).sh[10] = NULL;
+}
+
+///////////////////////////////////////////////////////////////////////////////
+// //
+// Primitives for interacting between subfaces and segments //
+// //
+///////////////////////////////////////////////////////////////////////////////
+
+inline void meshGRegionBoundaryRecovery::ssbond(face& s, face& edge) {
+ s.sh[6 + (s.shver >> 1)] = sencode(edge);
+ edge.sh[0] = sencode(s);
+}
+
+inline void meshGRegionBoundaryRecovery::ssbond1(face& s, face& edge) {
+ s.sh[6 + (s.shver >> 1)] = sencode(edge);
+ //edge.sh[0] = sencode(s);
+}
+
+inline void meshGRegionBoundaryRecovery::ssdissolve(face& s) {
+ s.sh[6 + (s.shver >> 1)] = NULL;
+}
+
+inline void meshGRegionBoundaryRecovery::sspivot(face& s, face& edge) {
+ sdecode((shellface) s.sh[6 + (s.shver >> 1)], edge);
+}
+
+#define isshsubseg(s) \
+ ((s).sh[6 + ((s).shver >> 1)])
+
+///////////////////////////////////////////////////////////////////////////////
+// //
+// Primitives for interacting between tetrahedra and segments //
+// //
+///////////////////////////////////////////////////////////////////////////////
+
+inline void meshGRegionBoundaryRecovery::tssbond1(triface& t, face& s) {
+ if ((t).tet[8] == NULL) {
+ // Allocate space for this tet.
+ (t).tet[8] = (tetrahedron) tet2segpool->alloc();
+ // Initialization.
+ for (int i = 0; i < 6; i++) {
+ ((shellface *) (t).tet[8])[i] = NULL;
+ }
+ }
+ ((shellface *) (t).tet[8])[ver2edge[(t).ver]] = sencode((s));
+}
+
+inline void meshGRegionBoundaryRecovery::sstbond1(face& s, triface& t) {
+ ((tetrahedron *) (s).sh)[9] = encode(t);
+}
+
+inline void meshGRegionBoundaryRecovery::tssdissolve1(triface& t) {
+ if ((t).tet[8] != NULL) {
+ ((shellface *) (t).tet[8])[ver2edge[(t).ver]] = NULL;
+ }
+}
+
+inline void meshGRegionBoundaryRecovery::sstdissolve1(face& s) {
+ ((tetrahedron *) (s).sh)[9] = NULL;
+}
+
+inline void meshGRegionBoundaryRecovery::tsspivot1(triface& t, face& s) {
+ if ((t).tet[8] != NULL) {
+ sdecode(((shellface *) (t).tet[8])[ver2edge[(t).ver]], s);
+ } else {
+ (s).sh = NULL;
+ }
+}
+
+#define issubseg(t) \
+ ((t).tet[8] && ((t).tet[8])[ver2edge[(t).ver]])
+
+inline void meshGRegionBoundaryRecovery::sstpivot1(face& s, triface& t) {
+ decode((tetrahedron) s.sh[9], t);
+}
+
+///////////////////////////////////////////////////////////////////////////////
+// //
+// Primitives for points //
+// //
+///////////////////////////////////////////////////////////////////////////////
+
+inline int meshGRegionBoundaryRecovery::pointmark(point pt) {
+ return ((int *) (pt))[pointmarkindex];
+}
+
+inline void meshGRegionBoundaryRecovery::setpointmark(point pt, int value) {
+ ((int *) (pt))[pointmarkindex] = value;
+}
+
+
+inline enum meshGRegionBoundaryRecovery::verttype
+ meshGRegionBoundaryRecovery::pointtype(point pt) {
+ return (enum verttype) (((int *) (pt))[pointmarkindex + 1] >> (int) 8);
+}
+
+inline void meshGRegionBoundaryRecovery::setpointtype(point pt,
+ enum verttype value) {
+ ((int *) (pt))[pointmarkindex + 1] =
+ ((int) value << 8) + (((int *) (pt))[pointmarkindex + 1] & (int) 255);
+}
+
+inline int meshGRegionBoundaryRecovery::pointgeomtag(point pt) {
+ return ((int *) (pt))[pointmarkindex + 2];
+}
+
+inline void meshGRegionBoundaryRecovery::setpointgeomtag(point pt, int value) {
+ ((int *) (pt))[pointmarkindex + 2] = value;
+}
+
+inline REAL meshGRegionBoundaryRecovery::pointgeomuv(point pt, int i) {
+ return pt[pointparamindex + i];
+}
+
+inline void meshGRegionBoundaryRecovery::setpointgeomuv(point pt, int i,
+ REAL value) {
+ pt[pointparamindex + i] = value;
+}
+
+inline void meshGRegionBoundaryRecovery::pinfect(point pt) {
+ ((int *) (pt))[pointmarkindex + 1] |= (int) 1;
+}
+
+inline void meshGRegionBoundaryRecovery::puninfect(point pt) {
+ ((int *) (pt))[pointmarkindex + 1] &= ~(int) 1;
+}
+
+inline bool meshGRegionBoundaryRecovery::pinfected(point pt) {
+ return (((int *) (pt))[pointmarkindex + 1] & (int) 1) != 0;
+}
+
+inline void meshGRegionBoundaryRecovery::pmarktest(point pt) {
+ ((int *) (pt))[pointmarkindex + 1] |= (int) 2;
+}
+
+inline void meshGRegionBoundaryRecovery::punmarktest(point pt) {
+ ((int *) (pt))[pointmarkindex + 1] &= ~(int) 2;
+}
+
+inline bool meshGRegionBoundaryRecovery::pmarktested(point pt) {
+ return (((int *) (pt))[pointmarkindex + 1] & (int) 2) != 0;
+}
+
+inline void meshGRegionBoundaryRecovery::pmarktest2(point pt) {
+ ((int *) (pt))[pointmarkindex + 1] |= (int) 4;
+}
+
+inline void meshGRegionBoundaryRecovery::punmarktest2(point pt) {
+ ((int *) (pt))[pointmarkindex + 1] &= ~(int) 4;
+}
+
+inline bool meshGRegionBoundaryRecovery::pmarktest2ed(point pt) {
+ return (((int *) (pt))[pointmarkindex + 1] & (int) 4) != 0;
+}
+
+inline void meshGRegionBoundaryRecovery::pmarktest3(point pt) {
+ ((int *) (pt))[pointmarkindex + 1] |= (int) 8;
+}
+
+inline void meshGRegionBoundaryRecovery::punmarktest3(point pt) {
+ ((int *) (pt))[pointmarkindex + 1] &= ~(int) 8;
+}
+
+inline bool meshGRegionBoundaryRecovery::pmarktest3ed(point pt) {
+ return (((int *) (pt))[pointmarkindex + 1] & (int) 8) != 0;
+}
+
+inline meshGRegionBoundaryRecovery::tetrahedron
+ meshGRegionBoundaryRecovery::point2tet(point pt) {
+ return ((tetrahedron *) (pt))[point2simindex];
+}
+
+inline void meshGRegionBoundaryRecovery::setpoint2tet(point pt,
+ tetrahedron value) {
+ ((tetrahedron *) (pt))[point2simindex] = value;
+}
+
+inline meshGRegionBoundaryRecovery::point
+ meshGRegionBoundaryRecovery::point2ppt(point pt) {
+ return (point) ((tetrahedron *) (pt))[point2simindex + 1];
+}
+
+inline void meshGRegionBoundaryRecovery::setpoint2ppt(point pt, point value) {
+ ((tetrahedron *) (pt))[point2simindex + 1] = (tetrahedron) value;
+}
+
+inline meshGRegionBoundaryRecovery::shellface
+ meshGRegionBoundaryRecovery::point2sh(point pt) {
+ return (shellface) ((tetrahedron *) (pt))[point2simindex + 2];
+}
+
+inline void meshGRegionBoundaryRecovery::setpoint2sh(point pt,
+ shellface value) {
+ ((tetrahedron *) (pt))[point2simindex + 2] = (tetrahedron) value;
+}
+
+
+inline meshGRegionBoundaryRecovery::tetrahedron
+ meshGRegionBoundaryRecovery::point2bgmtet(point pt) {
+ return ((tetrahedron *) (pt))[point2simindex + 3];
+}
+
+inline void meshGRegionBoundaryRecovery::setpoint2bgmtet(point pt,
+ tetrahedron value) {
+ ((tetrahedron *) (pt))[point2simindex + 3] = value;
+}
+
+inline void meshGRegionBoundaryRecovery::setpointinsradius(point pt,
+ REAL value) {
+ pt[pointmtrindex + sizeoftensor - 1] = value;
+}
+
+inline REAL meshGRegionBoundaryRecovery::getpointinsradius(point pt) {
+ return pt[pointmtrindex + sizeoftensor - 1];
+}
+
+inline bool meshGRegionBoundaryRecovery::issteinerpoint(point pt) {
+ return (pointtype(pt) == FREESEGVERTEX) || (pointtype(pt) == FREEFACETVERTEX)
+ || (pointtype(pt) == FREEVOLVERTEX);
+}
+
+inline void meshGRegionBoundaryRecovery::point2tetorg(point pa,
+ triface& searchtet) {
+ decode(point2tet(pa), searchtet);
+ if ((point) searchtet.tet[4] == pa) {
+ searchtet.ver = 11;
+ } else if ((point) searchtet.tet[5] == pa) {
+ searchtet.ver = 3;
+ } else if ((point) searchtet.tet[6] == pa) {
+ searchtet.ver = 7;
+ } else {
+ //assert((point) searchtet.tet[7] == pa); // SELF_CHECK
+ searchtet.ver = 0;
+ }
+}
+
+inline void meshGRegionBoundaryRecovery::point2shorg(point pa, face& searchsh){
+ sdecode(point2sh(pa), searchsh);
+ if ((point) searchsh.sh[3] == pa) {
+ searchsh.shver = 0;
+ } else if ((point) searchsh.sh[4] == pa) {
+ searchsh.shver = (searchsh.sh[5] != NULL ? 2 : 1);
+ } else {
+ //assert((point) searchsh.sh[5] == pa); // SELF_CHECK
+ searchsh.shver = 4;
+ }
+}
+
+inline meshGRegionBoundaryRecovery::point
+ meshGRegionBoundaryRecovery::farsorg(face& s) {
+ face travesh, neighsh;
+ travesh = s;
+ while (1) {
+ senext2(travesh, neighsh);
+ spivotself(neighsh);
+ if (neighsh.sh == NULL) break;
+ if (sorg(neighsh) != sorg(travesh)) sesymself(neighsh);
+ senext2(neighsh, travesh);
+ }
+ return sorg(travesh);
+}
+
+inline meshGRegionBoundaryRecovery::point
+ meshGRegionBoundaryRecovery::farsdest(face& s) {
+ face travesh, neighsh;
+ travesh = s;
+ while (1) {
+ senext(travesh, neighsh);
+ spivotself(neighsh);
+ if (neighsh.sh == NULL) break;
+ if (sdest(neighsh) != sdest(travesh)) sesymself(neighsh);
+ senext(neighsh, travesh);
+ }
+ return sdest(travesh);
+}
+
+// dot() returns the dot product: v1 dot v2.
+inline REAL meshGRegionBoundaryRecovery::dot(REAL* v1, REAL* v2)
+{
+ return v1[0] * v2[0] + v1[1] * v2[1] + v1[2] * v2[2];
+}
+
+// cross() computes the cross product: n = v1 cross v2.
+inline void meshGRegionBoundaryRecovery::cross(REAL* v1, REAL* v2, REAL* n)
+{
+ n[0] = v1[1] * v2[2] - v2[1] * v1[2];
+ n[1] = -(v1[0] * v2[2] - v2[0] * v1[2]);
+ n[2] = v1[0] * v2[1] - v2[0] * v1[1];
+}
+
+// distance() computes the Euclidean distance between two points.
+inline REAL meshGRegionBoundaryRecovery::distance(REAL* p1, REAL* p2)
+{
+ return sqrt((p2[0] - p1[0]) * (p2[0] - p1[0]) +
+ (p2[1] - p1[1]) * (p2[1] - p1[1]) +
+ (p2[2] - p1[2]) * (p2[2] - p1[2]));
+}
+
+inline REAL meshGRegionBoundaryRecovery::norm2(REAL x, REAL y, REAL z)
+{
+ return (x) * (x) + (y) * (y) + (z) * (z);
+}
+
+//// mempool_cxx //////////////////////////////////////////////////////////////
+//// ////
+//// ////
+
+int meshGRegionBoundaryRecovery::bondtbl[12][12] = {{0,},};
+int meshGRegionBoundaryRecovery::enexttbl[12] = {0,};
+int meshGRegionBoundaryRecovery::eprevtbl[12] = {0,};
+int meshGRegionBoundaryRecovery::enextesymtbl[12] = {0,};
+int meshGRegionBoundaryRecovery::eprevesymtbl[12] = {0,};
+int meshGRegionBoundaryRecovery::eorgoppotbl[12] = {0,};
+int meshGRegionBoundaryRecovery::edestoppotbl[12] = {0,};
+int meshGRegionBoundaryRecovery::fsymtbl[12][12] = {{0,},};
+int meshGRegionBoundaryRecovery::facepivot1[12] = {0,};
+int meshGRegionBoundaryRecovery::facepivot2[12][12] = {{0,},};
+int meshGRegionBoundaryRecovery::tsbondtbl[12][6] = {{0,},};
+int meshGRegionBoundaryRecovery::stbondtbl[12][6] = {{0,},};
+int meshGRegionBoundaryRecovery::tspivottbl[12][6] = {{0,},};
+int meshGRegionBoundaryRecovery::stpivottbl[12][6] = {{0,},};
+
+int meshGRegionBoundaryRecovery::esymtbl[12] =
+ {9, 6, 11, 4, 3, 7, 1, 5, 10, 0, 8, 2};
+int meshGRegionBoundaryRecovery:: orgpivot[12] =
+ {7, 7, 5, 5, 6, 4, 4, 6, 5, 6, 7, 4};
+int meshGRegionBoundaryRecovery::destpivot[12] =
+ {6, 4, 4, 6, 5, 6, 7, 4, 7, 7, 5, 5};
+int meshGRegionBoundaryRecovery::apexpivot[12] =
+ {5, 6, 7, 4, 7, 7, 5, 5, 6, 4, 4, 6};
+int meshGRegionBoundaryRecovery::oppopivot[12] =
+ {4, 5, 6, 7, 4, 5, 6, 7, 4, 5, 6, 7};
+int meshGRegionBoundaryRecovery::ver2edge[12] =
+ {0, 1, 2, 3, 3, 5, 1, 5, 4, 0, 4, 2};
+int meshGRegionBoundaryRecovery::edge2ver[ 6] = {0, 1, 2, 3, 8, 5};
+int meshGRegionBoundaryRecovery::epivot[12] =
+ {4, 5, 2, 11, 4, 5, 2, 11, 4, 5, 2, 11};
+int meshGRegionBoundaryRecovery::snextpivot[6] = {2, 5, 4, 1, 0, 3};
+int meshGRegionBoundaryRecovery::sorgpivot [6] = {3, 4, 4, 5, 5, 3};
+int meshGRegionBoundaryRecovery::sdestpivot[6] = {4, 3, 5, 4, 3, 5};
+int meshGRegionBoundaryRecovery::sapexpivot[6] = {5, 5, 3, 3, 4, 4};
+
+void meshGRegionBoundaryRecovery::inittables()
+{
+ int i, j;
+
+ // i = t1.ver; j = t2.ver;
+ for (i = 0; i < 12; i++) {
+ for (j = 0; j < 12; j++) {
+ bondtbl[i][j] = (j & 3) + (((i & 12) + (j & 12)) % 12);
+ }
+ }
+
+ // i = t1.ver; j = t2.ver
+ for (i = 0; i < 12; i++) {
+ for (j = 0; j < 12; j++) {
+ fsymtbl[i][j] = (j + 12 - (i & 12)) % 12;
+ }
+ }
+
+ for (i = 0; i < 12; i++) {
+ facepivot1[i] = (esymtbl[i] & 3);
+ }
+
+ for (i = 0; i < 12; i++) {
+ for (j = 0; j < 12; j++) {
+ facepivot2[i][j] = fsymtbl[esymtbl[i]][j];
+ }
+ }
+
+ for (i = 0; i < 12; i++) {
+ enexttbl[i] = (i + 4) % 12;
+ eprevtbl[i] = (i + 8) % 12;
+ }
+
+ for (i = 0; i < 12; i++) {
+ enextesymtbl[i] = esymtbl[enexttbl[i]];
+ eprevesymtbl[i] = esymtbl[eprevtbl[i]];
+ }
+
+ for (i = 0; i < 12; i++) {
+ eorgoppotbl [i] = eprevtbl[esymtbl[enexttbl[i]]];
+ edestoppotbl[i] = enexttbl[esymtbl[eprevtbl[i]]];
+ }
+
+ int soffset, toffset;
+
+ // i = t.ver, j = s.shver
+ for (i = 0; i < 12; i++) {
+ for (j = 0; j < 6; j++) {
+ if ((j & 1) == 0) {
+ soffset = (6 - ((i & 12) >> 1)) % 6;
+ toffset = (12 - ((j & 6) << 1)) % 12;
+ } else {
+ soffset = (i & 12) >> 1;
+ toffset = (j & 6) << 1;
+ }
+ tsbondtbl[i][j] = (j & 1) + (((j & 6) + soffset) % 6);
+ stbondtbl[i][j] = (i & 3) + (((i & 12) + toffset) % 12);
+ }
+ }
+
+ // i = t.ver, j = s.shver
+ for (i = 0; i < 12; i++) {
+ for (j = 0; j < 6; j++) {
+ if ((j & 1) == 0) {
+ soffset = (i & 12) >> 1;
+ toffset = (j & 6) << 1;
+ } else {
+ soffset = (6 - ((i & 12) >> 1)) % 6;
+ toffset = (12 - ((j & 6) << 1)) % 12;
+ }
+ tspivottbl[i][j] = (j & 1) + (((j & 6) + soffset) % 6);
+ stpivottbl[i][j] = (i & 3) + (((i & 12) + toffset) % 12);
+ }
+ }
+}
+
+void meshGRegionBoundaryRecovery::arraypool::restart()
+{
+ objects = 0l;
+}
+
+void meshGRegionBoundaryRecovery::arraypool::poolinit(int sizeofobject,
+ int log2objperblk)
+{
+ // Each object must be at least one byte long.
+ objectbytes = sizeofobject > 1 ? sizeofobject : 1;
+
+ log2objectsperblock = log2objperblk;
+ // Compute the number of objects in each block.
+ objectsperblock = ((int) 1) << log2objectsperblock;
+ objectsperblockmark = objectsperblock - 1;
+
+ // No memory has been allocated.
+ totalmemory = 0l;
+ // The top array has not been allocated yet.
+ toparray = (char **) NULL;
+ toparraylen = 0;
+
+ // Ready all indices to be allocated.
+ restart();
+}
+
+meshGRegionBoundaryRecovery::arraypool::arraypool(int sizeofobject,
+ int log2objperblk)
+{
+ poolinit(sizeofobject, log2objperblk);
+}
+
+meshGRegionBoundaryRecovery::arraypool::~arraypool()
+{
+ int i;
+
+ // Has anything been allocated at all?
+ if (toparray != (char **) NULL) {
+ // Walk through the top array.
+ for (i = 0; i < toparraylen; i++) {
+ // Check every pointer; NULLs may be scattered randomly.
+ if (toparray[i] != (char *) NULL) {
+ // Free an allocated block.
+ free((void *) toparray[i]);
+ }
+ }
+ // Free the top array.
+ free((void *) toparray);
+ }
+
+ // The top array is no longer allocated.
+ toparray = (char **) NULL;
+ toparraylen = 0;
+ objects = 0;
+ totalmemory = 0;
+}
+
+char* meshGRegionBoundaryRecovery::arraypool::getblock(int objectindex)
+{
+ char **newarray;
+ char *block;
+ int newsize;
+ int topindex;
+ int i;
+
+ // Compute the index in the top array (upper bits).
+ topindex = objectindex >> log2objectsperblock;
+ // Does the top array need to be allocated or resized?
+ if (toparray == (char **) NULL) {
+ // Allocate the top array big enough to hold 'topindex', and NULL out
+ // its contents.
+ newsize = topindex + 128;
+ toparray = (char **) malloc((size_t) (newsize * sizeof(char *)));
+ toparraylen = newsize;
+ for (i = 0; i < newsize; i++) {
+ toparray[i] = (char *) NULL;
+ }
+ // Account for the memory.
+ totalmemory = newsize * (uintptr_t) sizeof(char *);
+ } else if (topindex >= toparraylen) {
+ // Resize the top array, making sure it holds 'topindex'.
+ newsize = 3 * toparraylen;
+ if (topindex >= newsize) {
+ newsize = topindex + 128;
+ }
+ // Allocate the new array, copy the contents, NULL out the rest, and
+ // free the old array.
+ newarray = (char **) malloc((size_t) (newsize * sizeof(char *)));
+ for (i = 0; i < toparraylen; i++) {
+ newarray[i] = toparray[i];
+ }
+ for (i = toparraylen; i < newsize; i++) {
+ newarray[i] = (char *) NULL;
+ }
+ free(toparray);
+ // Account for the memory.
+ totalmemory += (newsize - toparraylen) * sizeof(char *);
+ toparray = newarray;
+ toparraylen = newsize;
+ }
+
+ // Find the block, or learn that it hasn't been allocated yet.
+ block = toparray[topindex];
+ if (block == (char *) NULL) {
+ // Allocate a block at this index.
+ block = (char *) malloc((size_t) (objectsperblock * objectbytes));
+ toparray[topindex] = block;
+ // Account for the memory.
+ totalmemory += objectsperblock * objectbytes;
+ }
+
+ // Return a pointer to the block.
+ return block;
+}
+
+void* meshGRegionBoundaryRecovery::arraypool::lookup(int objectindex)
+{
+ char *block;
+ int topindex;
+
+ // Has the top array been allocated yet?
+ if (toparray == (char **) NULL) {
+ return (void *) NULL;
+ }
+
+ // Compute the index in the top array (upper bits).
+ topindex = objectindex >> log2objectsperblock;
+ // Does the top index fit in the top array?
+ if (topindex >= toparraylen) {
+ return (void *) NULL;
+ }
+
+ // Find the block, or learn that it hasn't been allocated yet.
+ block = toparray[topindex];
+ if (block == (char *) NULL) {
+ return (void *) NULL;
+ }
+
+ // Compute a pointer to the object with the given index. Note that
+ // 'objectsperblock' is a power of two, so the & operation is a bit mask
+ // that preserves the lower bits.
+ return (void *)(block + (objectindex & (objectsperblock - 1)) * objectbytes);
+}
+
+int meshGRegionBoundaryRecovery::arraypool::newindex(void **newptr)
+{
+ // Allocate an object at index 'firstvirgin'.
+ int newindex = objects;
+ *newptr = (void *) (getblock(objects) +
+ (objects & (objectsperblock - 1)) * objectbytes);
+ objects++;
+
+ return newindex;
+}
+
+
+meshGRegionBoundaryRecovery::memorypool::memorypool()
+{
+ firstblock = nowblock = (void **) NULL;
+ nextitem = (void *) NULL;
+ deaditemstack = (void *) NULL;
+ pathblock = (void **) NULL;
+ pathitem = (void *) NULL;
+ alignbytes = 0;
+ itembytes = itemwords = 0;
+ itemsperblock = 0;
+ items = maxitems = 0l;
+ unallocateditems = 0;
+ pathitemsleft = 0;
+}
+
+meshGRegionBoundaryRecovery::memorypool::memorypool(int bytecount,
+ int itemcount, int wsize, int alignment)
+{
+ poolinit(bytecount, itemcount, wsize, alignment);
+}
+
+meshGRegionBoundaryRecovery::memorypool::~memorypool()
+{
+ while (firstblock != (void **) NULL) {
+ nowblock = (void **) *(firstblock);
+ free(firstblock);
+ firstblock = nowblock;
+ }
+}
+
+void meshGRegionBoundaryRecovery::memorypool::poolinit(int bytecount,
+ int itemcount,int wordsize, int alignment)
+{
+ // Find the proper alignment, which must be at least as large as:
+ // - The parameter `alignment'.
+ // - The primary word type, to avoid unaligned accesses.
+ // - sizeof(void *), so the stack of dead items can be maintained
+ // without unaligned accesses.
+ if (alignment > wordsize) {
+ alignbytes = alignment;
+ } else {
+ alignbytes = wordsize;
+ }
+ if ((int) sizeof(void *) > alignbytes) {
+ alignbytes = (int) sizeof(void *);
+ }
+ itemwords = ((bytecount + alignbytes - 1) / alignbytes)
+ * (alignbytes / wordsize);
+ itembytes = itemwords * wordsize;
+ itemsperblock = itemcount;
+
+ // Allocate a block of items. Space for `itemsperblock' items and one
+ // pointer (to point to the next block) are allocated, as well as space
+ // to ensure alignment of the items.
+ firstblock = (void **) malloc(itemsperblock * itembytes + sizeof(void *)
+ + alignbytes);
+ if (firstblock == (void **) NULL) {
+ terminateBoundaryRecovery(NULL, 1);
+ }
+ // Set the next block pointer to NULL.
+ *(firstblock) = (void *) NULL;
+ restart();
+}
+
+void meshGRegionBoundaryRecovery::memorypool::restart()
+{
+ uintptr_t alignptr;
+
+ items = 0;
+ maxitems = 0;
+
+ // Set the currently active block.
+ nowblock = firstblock;
+ // Find the first item in the pool. Increment by the size of (void *).
+ alignptr = (uintptr_t) (nowblock + 1);
+ // Align the item on an `alignbytes'-byte boundary.
+ nextitem = (void *)
+ (alignptr + (uintptr_t) alignbytes -
+ (alignptr % (uintptr_t) alignbytes));
+ // There are lots of unallocated items left in this block.
+ unallocateditems = itemsperblock;
+ // The stack of deallocated items is empty.
+ deaditemstack = (void *) NULL;
+}
+
+void* meshGRegionBoundaryRecovery::memorypool::alloc()
+{
+ void *newitem;
+ void **newblock;
+ uintptr_t alignptr;
+
+ // First check the linked list of dead items. If the list is not
+ // empty, allocate an item from the list rather than a fresh one.
+ if (deaditemstack != (void *) NULL) {
+ newitem = deaditemstack; // Take first item in list.
+ deaditemstack = * (void **) deaditemstack;
+ } else {
+ // Check if there are any free items left in the current block.
+ if (unallocateditems == 0) {
+ // Check if another block must be allocated.
+ if (*nowblock == (void *) NULL) {
+ // Allocate a new block of items, pointed to by the previous block.
+ newblock = (void **) malloc(itemsperblock * itembytes + sizeof(void *)
+ + alignbytes);
+ if (newblock == (void **) NULL) {
+ terminateBoundaryRecovery(NULL, 1);
+ }
+ *nowblock = (void *) newblock;
+ // The next block pointer is NULL.
+ *newblock = (void *) NULL;
+ }
+ // Move to the new block.
+ nowblock = (void **) *nowblock;
+ // Find the first item in the block.
+ // Increment by the size of (void *).
+ alignptr = (uintptr_t) (nowblock + 1);
+ // Align the item on an `alignbytes'-byte boundary.
+ nextitem = (void *)
+ (alignptr + (uintptr_t) alignbytes -
+ (alignptr % (uintptr_t) alignbytes));
+ // There are lots of unallocated items left in this block.
+ unallocateditems = itemsperblock;
+ }
+ // Allocate a new item.
+ newitem = nextitem;
+ // Advance `nextitem' pointer to next free item in block.
+ nextitem = (void *) ((uintptr_t) nextitem + itembytes);
+ unallocateditems--;
+ maxitems++;
+ }
+ items++;
+ return newitem;
+}
+
+void meshGRegionBoundaryRecovery::memorypool::dealloc(void *dyingitem)
+{
+ // Push freshly killed item onto stack.
+ *((void **) dyingitem) = deaditemstack;
+ deaditemstack = dyingitem;
+ items--;
+}
+
+void meshGRegionBoundaryRecovery::memorypool::traversalinit()
+{
+ uintptr_t alignptr;
+
+ // Begin the traversal in the first block.
+ pathblock = firstblock;
+ // Find the first item in the block. Increment by the size of (void *).
+ alignptr = (uintptr_t) (pathblock + 1);
+ // Align with item on an `alignbytes'-byte boundary.
+ pathitem = (void *)
+ (alignptr + (uintptr_t) alignbytes -
+ (alignptr % (uintptr_t) alignbytes));
+ // Set the number of items left in the current block.
+ pathitemsleft = itemsperblock;
+}
+
+void* meshGRegionBoundaryRecovery::memorypool::traverse()
+{
+ void *newitem;
+ uintptr_t alignptr;
+
+ // Stop upon exhausting the list of items.
+ if (pathitem == nextitem) {
+ return (void *) NULL;
+ }
+ // Check whether any untraversed items remain in the current block.
+ if (pathitemsleft == 0) {
+ // Find the next block.
+ pathblock = (void **) *pathblock;
+ // Find the first item in the block. Increment by the size of (void *).
+ alignptr = (uintptr_t) (pathblock + 1);
+ // Align with item on an `alignbytes'-byte boundary.
+ pathitem = (void *)
+ (alignptr + (uintptr_t) alignbytes -
+ (alignptr % (uintptr_t) alignbytes));
+ // Set the number of items left in the current block.
+ pathitemsleft = itemsperblock;
+ }
+ newitem = pathitem;
+ // Find the next item in the block.
+ pathitem = (void *) ((uintptr_t) pathitem + itembytes);
+ pathitemsleft--;
+ return newitem;
+}
+
+void meshGRegionBoundaryRecovery::makeindex2pointmap(point*& idx2verlist)
+{
+ point pointloop;
+ int idx;
+
+ Msg::Debug(" Constructing mapping from indices to points.");
+
+ idx2verlist = new point[points->items + 1];
+
+ points->traversalinit();
+ pointloop = pointtraverse();
+ idx = in->firstnumber;
+ while (pointloop != (point) NULL) {
+ idx2verlist[idx++] = pointloop;
+ pointloop = pointtraverse();
+ }
+}
+
+void meshGRegionBoundaryRecovery::makepoint2submap(memorypool* pool,
+ int*& idx2faclist, face*& facperverlist)
+{
+ face shloop;
+ int i, j, k;
+
+ Msg::Debug(" Making a map from points to subfaces.");
+
+ // Initialize 'idx2faclist'.
+ idx2faclist = new int[points->items + 1];
+ for (i = 0; i < points->items + 1; i++) idx2faclist[i] = 0;
+
+ // Loop all subfaces, counter the number of subfaces incident at a vertex.
+ pool->traversalinit();
+ shloop.sh = shellfacetraverse(pool);
+ while (shloop.sh != (shellface *) NULL) {
+ // Increment the number of incident subfaces for each vertex.
+ j = pointmark((point) shloop.sh[3]) - in->firstnumber;
+ idx2faclist[j]++;
+ j = pointmark((point) shloop.sh[4]) - in->firstnumber;
+ idx2faclist[j]++;
+ // Skip the third corner if it is a segment.
+ if (shloop.sh[5] != NULL) {
+ j = pointmark((point) shloop.sh[5]) - in->firstnumber;
+ idx2faclist[j]++;
+ }
+ shloop.sh = shellfacetraverse(pool);
+ }
+
+ // Calculate the total length of array 'facperverlist'.
+ j = idx2faclist[0];
+ idx2faclist[0] = 0; // Array starts from 0 element.
+ for (i = 0; i < points->items; i++) {
+ k = idx2faclist[i + 1];
+ idx2faclist[i + 1] = idx2faclist[i] + j;
+ j = k;
+ }
+
+ // The total length is in the last unit of idx2faclist.
+ facperverlist = new face[idx2faclist[i]];
+
+ // Loop all subfaces again, remember the subfaces at each vertex.
+ pool->traversalinit();
+ shloop.sh = shellfacetraverse(pool);
+ while (shloop.sh != (shellface *) NULL) {
+ j = pointmark((point) shloop.sh[3]) - in->firstnumber;
+ shloop.shver = 0; // save the origin.
+ facperverlist[idx2faclist[j]] = shloop;
+ idx2faclist[j]++;
+ // Is it a subface or a subsegment?
+ if (shloop.sh[5] != NULL) {
+ j = pointmark((point) shloop.sh[4]) - in->firstnumber;
+ shloop.shver = 2; // save the origin.
+ facperverlist[idx2faclist[j]] = shloop;
+ idx2faclist[j]++;
+ j = pointmark((point) shloop.sh[5]) - in->firstnumber;
+ shloop.shver = 4; // save the origin.
+ facperverlist[idx2faclist[j]] = shloop;
+ idx2faclist[j]++;
+ } else {
+ j = pointmark((point) shloop.sh[4]) - in->firstnumber;
+ shloop.shver = 1; // save the origin.
+ facperverlist[idx2faclist[j]] = shloop;
+ idx2faclist[j]++;
+ }
+ shloop.sh = shellfacetraverse(pool);
+ }
+
+ // Contents in 'idx2faclist' are shifted, now shift them back.
+ for (i = points->items - 1; i >= 0; i--) {
+ idx2faclist[i + 1] = idx2faclist[i];
+ }
+ idx2faclist[0] = 0;
+}
+
+void meshGRegionBoundaryRecovery::tetrahedrondealloc(tetrahedron
+ *dyingtetrahedron)
+{
+ // Set tetrahedron's vertices to NULL. This makes it possible to detect
+ // dead tetrahedra when traversing the list of all tetrahedra.
+ dyingtetrahedron[4] = (tetrahedron) NULL;
+
+ // Dealloc the space to subfaces/subsegments.
+ if (dyingtetrahedron[8] != NULL) {
+ tet2segpool->dealloc((shellface *) dyingtetrahedron[8]);
+ }
+ if (dyingtetrahedron[9] != NULL) {
+ tet2subpool->dealloc((shellface *) dyingtetrahedron[9]);
+ }
+
+ tetrahedrons->dealloc((void *) dyingtetrahedron);
+}
+
+meshGRegionBoundaryRecovery::tetrahedron*
+ meshGRegionBoundaryRecovery::tetrahedrontraverse()
+{
+ tetrahedron *newtetrahedron;
+
+ do {
+ newtetrahedron = (tetrahedron *) tetrahedrons->traverse();
+ if (newtetrahedron == (tetrahedron *) NULL) {
+ return (tetrahedron *) NULL;
+ }
+ } while ((newtetrahedron[4] == (tetrahedron) NULL) ||
+ ((point) newtetrahedron[7] == dummypoint));
+ return newtetrahedron;
+}
+
+meshGRegionBoundaryRecovery::tetrahedron*
+ meshGRegionBoundaryRecovery::alltetrahedrontraverse()
+{
+ tetrahedron *newtetrahedron;
+
+ do {
+ newtetrahedron = (tetrahedron *) tetrahedrons->traverse();
+ if (newtetrahedron == (tetrahedron *) NULL) {
+ return (tetrahedron *) NULL;
+ }
+ } while (newtetrahedron[4] == (tetrahedron) NULL); // Skip dead ones.
+ return newtetrahedron;
+}
+
+void meshGRegionBoundaryRecovery::shellfacedealloc(memorypool *pool,
+ shellface *dyingsh)
+{
+ // Set shellface's vertices to NULL. This makes it possible to detect dead
+ // shellfaces when traversing the list of all shellfaces.
+ dyingsh[3] = (shellface) NULL;
+ pool->dealloc((void *) dyingsh);
+}
+
+meshGRegionBoundaryRecovery::shellface* meshGRegionBoundaryRecovery::shellfacetraverse(memorypool *pool)
+{
+ shellface *newshellface;
+
+ do {
+ newshellface = (shellface *) pool->traverse();
+ if (newshellface == (shellface *) NULL) {
+ return (shellface *) NULL;
+ }
+ } while (newshellface[3] == (shellface) NULL); // Skip dead ones.
+ return newshellface;
+}
+
+void meshGRegionBoundaryRecovery::pointdealloc(point dyingpoint)
+{
+ // Mark the point as dead. This makes it possible to detect dead points
+ // when traversing the list of all points.
+ setpointtype(dyingpoint, DEADVERTEX);
+ points->dealloc((void *) dyingpoint);
+}
+
+meshGRegionBoundaryRecovery::point meshGRegionBoundaryRecovery::pointtraverse()
+{
+ point newpoint;
+
+ do {
+ newpoint = (point) points->traverse();
+ if (newpoint == (point) NULL) {
+ return (point) NULL;
+ }
+ } while (pointtype(newpoint) == DEADVERTEX); // Skip dead ones.
+ return newpoint;
+}
+
+void meshGRegionBoundaryRecovery::maketetrahedron(triface *newtet)
+{
+ newtet->tet = (tetrahedron *) tetrahedrons->alloc();
+
+ // Initialize the four adjoining tetrahedra to be "outer space".
+ newtet->tet[0] = NULL;
+ newtet->tet[1] = NULL;
+ newtet->tet[2] = NULL;
+ newtet->tet[3] = NULL;
+ // Four NULL vertices.
+ newtet->tet[4] = NULL;
+ newtet->tet[5] = NULL;
+ newtet->tet[6] = NULL;
+ newtet->tet[7] = NULL;
+ // No attached segments and subfaces yet.
+ newtet->tet[8] = NULL;
+ newtet->tet[9] = NULL;
+ // Initialize the marker (clear all flags).
+ setelemmarker(newtet->tet, 0);
+ for (int i = 0; i < numelemattrib; i++) {
+ setelemattribute(newtet->tet, i, 0.0);
+ }
+ if (b->varvolume) {
+ setvolumebound(newtet->tet, -1.0);
+ }
+
+ // Initialize the version to be Zero.
+ newtet->ver = 11;
+}
+
+void meshGRegionBoundaryRecovery::makeshellface(memorypool *pool, face *newface)
+{
+ newface->sh = (shellface *) pool->alloc();
+
+ // No adjointing subfaces.
+ newface->sh[0] = NULL;
+ newface->sh[1] = NULL;
+ newface->sh[2] = NULL;
+ // Three NULL vertices.
+ newface->sh[3] = NULL;
+ newface->sh[4] = NULL;
+ newface->sh[5] = NULL;
+ // No adjoining subsegments.
+ newface->sh[6] = NULL;
+ newface->sh[7] = NULL;
+ newface->sh[8] = NULL;
+ // No adjoining tetrahedra.
+ newface->sh[9] = NULL;
+ newface->sh[10] = NULL;
+ if (checkconstraints) {
+ // Initialize the maximum area bound.
+ setareabound(*newface, 0.0);
+ }
+ // Clear the infection and marktest bits.
+ ((int *) (newface->sh))[shmarkindex + 1] = 0;
+ if (useinsertradius) {
+ setfacetindex(*newface, 0);
+ }
+ // Set the boundary marker to zero.
+ setshellmark(*newface, 0);
+
+ newface->shver = 0;
+}
+
+void meshGRegionBoundaryRecovery::makepoint(point* pnewpoint,
+ enum verttype vtype)
+{
+ int i;
+
+ *pnewpoint = (point) points->alloc();
+
+ // Initialize the point attributes.
+ for (i = 0; i < numpointattrib; i++) {
+ (*pnewpoint)[3 + i] = 0.0;
+ }
+ // Initialize the metric tensor.
+ for (i = 0; i < sizeoftensor; i++) {
+ (*pnewpoint)[pointmtrindex + i] = 0.0;
+ }
+ setpoint2tet(*pnewpoint, NULL);
+ setpoint2ppt(*pnewpoint, NULL);
+ if (b->plc || b->refine) {
+ // Initialize the point-to-simplex field.
+ setpoint2sh(*pnewpoint, NULL);
+ if (b->metric && (bgm != NULL)) {
+ setpoint2bgmtet(*pnewpoint, NULL);
+ }
+ }
+ // Initialize the point marker (starting from in->firstnumber).
+ setpointmark(*pnewpoint, (int) (points->items) - (!in->firstnumber));
+ // Clear all flags.
+ ((int *) (*pnewpoint))[pointmarkindex + 1] = 0;
+ // Initialize (set) the point type.
+ setpointtype(*pnewpoint, vtype);
+}
+
+void meshGRegionBoundaryRecovery::initializepools()
+{
+ int pointsize = 0, elesize = 0, shsize = 0;
+ int i;
+
+ Msg::Debug(" Initializing memorypools.");
+ Msg::Debug(" tetrahedron per block: %d.", b->tetrahedraperblock);
+
+ inittables();
+
+ if (b->plc || b->refine) {
+ // Save the insertion radius for Steiner points if boundaries
+ // are allowed be split.
+ if (!b->nobisect || checkconstraints) {
+ useinsertradius = 1;
+ }
+ }
+
+ // The index within each point at which its metric tensor is found.
+ // Each vertex has three coordinates.
+ if (b->psc) {
+ // '-s' option (PSC), the u,v coordinates are provided.
+ pointmtrindex = 5 + numpointattrib;
+ // The index within each point at which its u, v coordinates are found.
+ // Comment: They are saved after the list of point attributes.
+ pointparamindex = pointmtrindex - 2;
+ } else {
+ pointmtrindex = 3 + numpointattrib;
+ }
+ // The index within each point at which an element pointer is found, where
+ // the index is measured in pointers. Ensure the index is aligned to a
+ // sizeof(tetrahedron)-byte address.
+ point2simindex = ((pointmtrindex + sizeoftensor) * sizeof(REAL)
+ + sizeof(tetrahedron) - 1) / sizeof(tetrahedron);
+ if (b->plc || b->refine || b->voroout) {
+ // Increase the point size by three pointers, which are:
+ // - a pointer to a tet, read by point2tet();
+ // - a pointer to a parent point, read by point2ppt()).
+ // - a pointer to a subface or segment, read by point2sh();
+ if (b->metric && (bgm != NULL)) {
+ // Increase one pointer into the background mesh, point2bgmtet().
+ pointsize = (point2simindex + 4) * sizeof(tetrahedron);
+ } else {
+ pointsize = (point2simindex + 3) * sizeof(tetrahedron);
+ }
+ } else {
+ // Increase the point size by two pointer, which are:
+ // - a pointer to a tet, read by point2tet();
+ // - a pointer to a parent point, read by point2ppt()). -- Used by btree.
+ pointsize = (point2simindex + 2) * sizeof(tetrahedron);
+ }
+ // The index within each point at which the boundary marker is found,
+ // Ensure the point marker is aligned to a sizeof(int)-byte address.
+ pointmarkindex = (pointsize + sizeof(int) - 1) / sizeof(int);
+ // Now point size is the ints (indicated by pointmarkindex) plus:
+ // - an integer for boundary marker;
+ // - an integer for vertex type;
+ // - an integer for geometry tag (optional, -s option).
+ pointsize = (pointmarkindex + 2 + (b->psc ? 1 : 0)) * sizeof(tetrahedron);
+
+ // Initialize the pool of vertices.
+points = new memorypool(pointsize, b->vertexperblock, sizeof(REAL), 0);
+
+Msg::Debug(" Size of a point: %d bytes.", points->itembytes);
+
+ // Initialize the infinite vertex.
+ dummypoint = (point) new char[pointsize];
+ // Initialize all fields of this point.
+ dummypoint[0] = 0.0;
+ dummypoint[1] = 0.0;
+ dummypoint[2] = 0.0;
+ for (i = 0; i < numpointattrib; i++) {
+ dummypoint[3 + i] = 0.0;
+ }
+ // Initialize the metric tensor.
+ for (i = 0; i < sizeoftensor; i++) {
+ dummypoint[pointmtrindex + i] = 0.0;
+ }
+ setpoint2tet(dummypoint, NULL);
+ setpoint2ppt(dummypoint, NULL);
+ if (b->plc || b->psc || b->refine) {
+ // Initialize the point-to-simplex field.
+ setpoint2sh(dummypoint, NULL);
+ if (b->metric && (bgm != NULL)) {
+ setpoint2bgmtet(dummypoint, NULL);
+ }
+ }
+ // Initialize the point marker (starting from in->firstnumber).
+ setpointmark(dummypoint, -1); // The unique marker for dummypoint.
+ // Clear all flags.
+ ((int *) (dummypoint))[pointmarkindex + 1] = 0;
+ // Initialize (set) the point type.
+ setpointtype(dummypoint, UNUSEDVERTEX); // Does not matter.
+
+ elesize = 12 * sizeof(tetrahedron);
+
+ // The index to find the element markers. An integer containing varies
+ // flags and element counter.
+ assert(sizeof(int) <= sizeof(tetrahedron));
+ assert((sizeof(tetrahedron) % sizeof(int)) == 0);
+ elemmarkerindex = (elesize - sizeof(tetrahedron)) / sizeof(int);
+
+ // The actual number of element attributes. Note that if the
+ // `b->regionattrib' flag is set, an additional attribute will be added.
+ //numelemattrib = in->numberoftetrahedronattributes + (b->regionattrib > 0);
+ numelemattrib = (b->regionattrib > 0);
+
+ // The index within each element at which its attributes are found, where
+ // the index is measured in REALs.
+ elemattribindex = (elesize + sizeof(REAL) - 1) / sizeof(REAL);
+ // The index within each element at which the maximum volume bound is
+ // found, where the index is measured in REALs.
+ volumeboundindex = elemattribindex + numelemattrib;
+ // If element attributes or an constraint are needed, increase the number
+ // of bytes occupied by an element.
+ if (b->varvolume) {
+ elesize = (volumeboundindex + 1) * sizeof(REAL);
+ } else if (numelemattrib > 0) {
+ elesize = volumeboundindex * sizeof(REAL);
+ }
+
+
+ // Having determined the memory size of an element, initialize the pool.
+ tetrahedrons = new memorypool(elesize, b->tetrahedraperblock, sizeof(void *),
+ 16);
+
+ Msg::Debug(" Size of a tetrahedron: %d (%d) bytes.\n", elesize,
+ tetrahedrons->itembytes);
+
+ if (b->plc || b->refine) { // if (b->useshelles) {
+ // The number of bytes occupied by a subface. The list of pointers
+ // stored in a subface are: three to other subfaces, three to corners,
+ // three to subsegments, two to tetrahedra.
+ shsize = 11 * sizeof(shellface);
+ // The index within each subface at which the maximum area bound is
+ // found, where the index is measured in REALs.
+ areaboundindex = (shsize + sizeof(REAL) - 1) / sizeof(REAL);
+ // If -q switch is in use, increase the number of bytes occupied by
+ // a subface for saving maximum area bound.
+ if (checkconstraints) {
+ shsize = (areaboundindex + 1) * sizeof(REAL);
+ } else {
+ shsize = areaboundindex * sizeof(REAL);
+ }
+ // The index within subface at which the facet marker is found. Ensure
+ // the marker is aligned to a sizeof(int)-byte address.
+ shmarkindex = (shsize + sizeof(int) - 1) / sizeof(int);
+ // Increase the number of bytes by two or three integers, one for facet
+ // marker, one for shellface type, and optionally one for pbc group.
+ shsize = (shmarkindex + 2) * sizeof(shellface);
+ if (useinsertradius) {
+ // Increase the number of byte by one integer for storing facet index.
+ // set/read by setfacetindex() and getfacetindex.
+ shsize = (shmarkindex + 3) * sizeof(shellface);
+ }
+
+ // Initialize the pool of subfaces. Each subface record is eight-byte
+ // aligned so it has room to store an edge version (from 0 to 5) in
+ // the least three bits.
+ subfaces = new memorypool(shsize, b->shellfaceperblock, sizeof(void *), 8);
+
+ Msg::Debug(" Size of a shellface: %d (%d) bytes.", shsize,
+ subfaces->itembytes);
+
+ // Initialize the pool of subsegments. The subsegment's record is same
+ // with subface.
+ subsegs = new memorypool(shsize, b->shellfaceperblock, sizeof(void *), 8);
+
+ // Initialize the pool for tet-subseg connections.
+ tet2segpool = new memorypool(6 * sizeof(shellface), b->shellfaceperblock,
+ sizeof(void *), 0);
+ // Initialize the pool for tet-subface connections.
+ tet2subpool = new memorypool(4 * sizeof(shellface), b->shellfaceperblock,
+ sizeof(void *), 0);
+
+ // Initialize arraypools for segment & facet recovery.
+ subsegstack = new arraypool(sizeof(face), 10);
+ subfacstack = new arraypool(sizeof(face), 10);
+ subvertstack = new arraypool(sizeof(point), 8);
+
+ // Initialize arraypools for surface point insertion/deletion.
+ caveshlist = new arraypool(sizeof(face), 8);
+ caveshbdlist = new arraypool(sizeof(face), 8);
+ cavesegshlist = new arraypool(sizeof(face), 4);
+
+ cavetetshlist = new arraypool(sizeof(face), 8);
+ cavetetseglist = new arraypool(sizeof(face), 8);
+ caveencshlist = new arraypool(sizeof(face), 8);
+ caveencseglist = new arraypool(sizeof(face), 8);
+ }
+
+ // Initialize the pools for flips.
+ flippool = new memorypool(sizeof(badface), 1024, sizeof(void *), 0);
+ unflipqueue = new arraypool(sizeof(badface), 10);
+
+ // Initialize the arraypools for point insertion.
+ cavetetlist = new arraypool(sizeof(triface), 10);
+ cavebdrylist = new arraypool(sizeof(triface), 10);
+ caveoldtetlist = new arraypool(sizeof(triface), 10);
+ cavetetvertlist = new arraypool(sizeof(point), 10);
+}
+
+//// ////
+//// ////
+//// mempool_cxx //////////////////////////////////////////////////////////////
+
+//// geom_cxx /////////////////////////////////////////////////////////////////
+//// ////
+//// ////
+
+REAL meshGRegionBoundaryRecovery::PI = 3.14159265358979323846264338327950288419716939937510582;
+
+REAL meshGRegionBoundaryRecovery::insphere_s(REAL* pa, REAL* pb, REAL* pc,
+ REAL* pd, REAL* pe)
+{
+ REAL sign;
+
+ sign = insphere(pa, pb, pc, pd, pe);
+ if (sign != 0.0) {
+ return sign;
+ }
+
+ // Symbolic perturbation.
+ point pt[5], swappt;
+ REAL oriA, oriB;
+ int swaps, count;
+ int n, i;
+
+ pt[0] = pa;
+ pt[1] = pb;
+ pt[2] = pc;
+ pt[3] = pd;
+ pt[4] = pe;
+
+ // Sort the five points such that their indices are in the increasing
+ // order. An optimized bubble sort algorithm is used, i.e., it has
+ // the worst case O(n^2) runtime, but it is usually much faster.
+ swaps = 0; // Record the total number of swaps.
+ n = 5;
+ do {
+ count = 0;
+ n = n - 1;
+ for (i = 0; i < n; i++) {
+ if (pointmark(pt[i]) > pointmark(pt[i+1])) {
+ swappt = pt[i]; pt[i] = pt[i+1]; pt[i+1] = swappt;
+ count++;
+ }
+ }
+ swaps += count;
+ } while (count > 0); // Continue if some points are swapped.
+
+ oriA = orient3d(pt[1], pt[2], pt[3], pt[4]);
+ if (oriA != 0.0) {
+ // Flip the sign if there are odd number of swaps.
+ if ((swaps % 2) != 0) oriA = -oriA;
+ return oriA;
+ }
+
+ oriB = -orient3d(pt[0], pt[2], pt[3], pt[4]);
+ assert(oriB != 0.0); // SELF_CHECK
+ // Flip the sign if there are odd number of swaps.
+ if ((swaps % 2) != 0) oriB = -oriB;
+ return oriB;
+}
+
+inline REAL orient4dfast(REAL* pa, REAL* pb, REAL* pc, REAL* pd, REAL* pe,
+ REAL aheight, REAL bheight, REAL cheight,
+ REAL dheight, REAL eheight)
+{
+ const REAL aex = pa[0] - pe[0];
+ const REAL bex = pb[0] - pe[0];
+ const REAL cex = pc[0] - pe[0];
+ const REAL dex = pd[0] - pe[0];
+ const REAL aey = pa[1] - pe[1];
+ const REAL bey = pb[1] - pe[1];
+ const REAL cey = pc[1] - pe[1];
+ const REAL dey = pd[1] - pe[1];
+ const REAL aez = pa[2] - pe[2];
+ const REAL bez = pb[2] - pe[2];
+ const REAL cez = pc[2] - pe[2];
+ const REAL dez = pd[2] - pe[2];
+ const REAL aeheight = aheight - eheight;
+ const REAL beheight = bheight - eheight;
+ const REAL ceheight = cheight - eheight;
+ const REAL deheight = dheight - eheight;
+
+ const REAL aexbey = aex * bey;
+ const REAL bexaey = bex * aey;
+ const REAL ab = aexbey - bexaey;
+ const REAL bexcey = bex * cey;
+ const REAL cexbey = cex * bey;
+ const REAL bc = bexcey - cexbey;
+ const REAL cexdey = cex * dey;
+ const REAL dexcey = dex * cey;
+ const REAL cd = cexdey - dexcey;
+ const REAL dexaey = dex * aey;
+ const REAL aexdey = aex * dey;
+ const REAL da = dexaey - aexdey;
+
+ const REAL aexcey = aex * cey;
+ const REAL cexaey = cex * aey;
+ const REAL ac = aexcey - cexaey;
+ const REAL bexdey = bex * dey;
+ const REAL dexbey = dex * bey;
+ const REAL bd = bexdey - dexbey;
+
+ const REAL abc = aez * bc - bez * ac + cez * ab;
+ const REAL bcd = bez * cd - cez * bd + dez * bc;
+ const REAL cda = cez * da + dez * ac + aez * cd;
+ const REAL dab = dez * ab + aez * bd + bez * da;
+
+ const REAL det = (deheight * abc - ceheight * dab) + (beheight * cda - aeheight * bcd);
+
+ return det;
+}
+
+#define SETVECTOR3(V, a0, a1, a2) (V)[0] = (a0); (V)[1] = (a1); (V)[2] = (a2)
+
+#define SWAP2(a0, a1, tmp) (tmp) = (a0); (a0) = (a1); (a1) = (tmp)
+
+int meshGRegionBoundaryRecovery::tri_edge_2d(point A, point B, point C,
+ point P, point Q, point R, int level, int *types, int *pos)
+{
+ point U[3], V[3]; // The permuted vectors of points.
+ int pu[3], pv[3]; // The original positions of points.
+ REAL abovept[3];
+ REAL sA, sB, sC;
+ REAL s1, s2, s3, s4;
+ int z1;
+
+ if (R == NULL) {
+ // Calculate a lift point.
+ if (1) {
+ REAL n[3], len;
+ // Calculate a lift point, saved in dummypoint.
+ facenormal(A, B, C, n, 1, NULL);
+ len = sqrt(dot(n, n));
+ if (len != 0) {
+ n[0] /= len;
+ n[1] /= len;
+ n[2] /= len;
+ len = distance(A, B);
+ len += distance(B, C);
+ len += distance(C, A);
+ len /= 3.0;
+ R = abovept; //dummypoint;
+ R[0] = A[0] + len * n[0];
+ R[1] = A[1] + len * n[1];
+ R[2] = A[2] + len * n[2];
+ } else {
+ // The triangle [A,B,C] is (nearly) degenerate, i.e., it is (close)
+ // to a line. We need a line-line intersection test.
+ //assert(0);
+ // !!! A non-save return value.!!!
+ return 0; // DISJOINT
+ }
+ }
+ }
+
+ // Test A's, B's, and C's orientations wrt plane PQR.
+ sA = orient3d(P, Q, R, A);
+ sB = orient3d(P, Q, R, B);
+ sC = orient3d(P, Q, R, C);
+
+
+ if (sA < 0) {
+ if (sB < 0) {
+ if (sC < 0) { // (---).
+ return 0;
+ } else {
+ if (sC > 0) { // (--+).
+ // All points are in the right positions.
+ SETVECTOR3(U, A, B, C); // I3
+ SETVECTOR3(V, P, Q, R); // I2
+ SETVECTOR3(pu, 0, 1, 2);
+ SETVECTOR3(pv, 0, 1, 2);
+ z1 = 0;
+ } else { // (--0).
+ SETVECTOR3(U, A, B, C); // I3
+ SETVECTOR3(V, P, Q, R); // I2
+ SETVECTOR3(pu, 0, 1, 2);
+ SETVECTOR3(pv, 0, 1, 2);
+ z1 = 1;
+ }
+ }
+ } else {
+ if (sB > 0) {
+ if (sC < 0) { // (-+-).
+ SETVECTOR3(U, C, A, B); // PT = ST
+ SETVECTOR3(V, P, Q, R); // I2
+ SETVECTOR3(pu, 2, 0, 1);
+ SETVECTOR3(pv, 0, 1, 2);
+ z1 = 0;
+ } else {
+ if (sC > 0) { // (-++).
+ SETVECTOR3(U, B, C, A); // PT = ST x ST
+ SETVECTOR3(V, Q, P, R); // PL = SL
+ SETVECTOR3(pu, 1, 2, 0);
+ SETVECTOR3(pv, 1, 0, 2);
+ z1 = 0;
+ } else { // (-+0).
+ SETVECTOR3(U, C, A, B); // PT = ST
+ SETVECTOR3(V, P, Q, R); // I2
+ SETVECTOR3(pu, 2, 0, 1);
+ SETVECTOR3(pv, 0, 1, 2);
+ z1 = 2;
+ }
+ }
+ } else {
+ if (sC < 0) { // (-0-).
+ SETVECTOR3(U, C, A, B); // PT = ST
+ SETVECTOR3(V, P, Q, R); // I2
+ SETVECTOR3(pu, 2, 0, 1);
+ SETVECTOR3(pv, 0, 1, 2);
+ z1 = 1;
+ } else {
+ if (sC > 0) { // (-0+).
+ SETVECTOR3(U, B, C, A); // PT = ST x ST
+ SETVECTOR3(V, Q, P, R); // PL = SL
+ SETVECTOR3(pu, 1, 2, 0);
+ SETVECTOR3(pv, 1, 0, 2);
+ z1 = 2;
+ } else { // (-00).
+ SETVECTOR3(U, B, C, A); // PT = ST x ST
+ SETVECTOR3(V, Q, P, R); // PL = SL
+ SETVECTOR3(pu, 1, 2, 0);
+ SETVECTOR3(pv, 1, 0, 2);
+ z1 = 3;
+ }
+ }
+ }
+ }
+ } else {
+ if (sA > 0) {
+ if (sB < 0) {
+ if (sC < 0) { // (+--).
+ SETVECTOR3(U, B, C, A); // PT = ST x ST
+ SETVECTOR3(V, P, Q, R); // I2
+ SETVECTOR3(pu, 1, 2, 0);
+ SETVECTOR3(pv, 0, 1, 2);
+ z1 = 0;
+ } else {
+ if (sC > 0) { // (+-+).
+ SETVECTOR3(U, C, A, B); // PT = ST
+ SETVECTOR3(V, Q, P, R); // PL = SL
+ SETVECTOR3(pu, 2, 0, 1);
+ SETVECTOR3(pv, 1, 0, 2);
+ z1 = 0;
+ } else { // (+-0).
+ SETVECTOR3(U, C, A, B); // PT = ST
+ SETVECTOR3(V, Q, P, R); // PL = SL
+ SETVECTOR3(pu, 2, 0, 1);
+ SETVECTOR3(pv, 1, 0, 2);
+ z1 = 2;
+ }
+ }
+ } else {
+ if (sB > 0) {
+ if (sC < 0) { // (++-).
+ SETVECTOR3(U, A, B, C); // I3
+ SETVECTOR3(V, Q, P, R); // PL = SL
+ SETVECTOR3(pu, 0, 1, 2);
+ SETVECTOR3(pv, 1, 0, 2);
+ z1 = 0;
+ } else {
+ if (sC > 0) { // (+++).
+ return 0;
+ } else { // (++0).
+ SETVECTOR3(U, A, B, C); // I3
+ SETVECTOR3(V, Q, P, R); // PL = SL
+ SETVECTOR3(pu, 0, 1, 2);
+ SETVECTOR3(pv, 1, 0, 2);
+ z1 = 1;
+ }
+ }
+ } else { // (+0#)
+ if (sC < 0) { // (+0-).
+ SETVECTOR3(U, B, C, A); // PT = ST x ST
+ SETVECTOR3(V, P, Q, R); // I2
+ SETVECTOR3(pu, 1, 2, 0);
+ SETVECTOR3(pv, 0, 1, 2);
+ z1 = 2;
+ } else {
+ if (sC > 0) { // (+0+).
+ SETVECTOR3(U, C, A, B); // PT = ST
+ SETVECTOR3(V, Q, P, R); // PL = SL
+ SETVECTOR3(pu, 2, 0, 1);
+ SETVECTOR3(pv, 1, 0, 2);
+ z1 = 1;
+ } else { // (+00).
+ SETVECTOR3(U, B, C, A); // PT = ST x ST
+ SETVECTOR3(V, P, Q, R); // I2
+ SETVECTOR3(pu, 1, 2, 0);
+ SETVECTOR3(pv, 0, 1, 2);
+ z1 = 3;
+ }
+ }
+ }
+ }
+ } else {
+ if (sB < 0) {
+ if (sC < 0) { // (0--).
+ SETVECTOR3(U, B, C, A); // PT = ST x ST
+ SETVECTOR3(V, P, Q, R); // I2
+ SETVECTOR3(pu, 1, 2, 0);
+ SETVECTOR3(pv, 0, 1, 2);
+ z1 = 1;
+ } else {
+ if (sC > 0) { // (0-+).
+ SETVECTOR3(U, A, B, C); // I3
+ SETVECTOR3(V, P, Q, R); // I2
+ SETVECTOR3(pu, 0, 1, 2);
+ SETVECTOR3(pv, 0, 1, 2);
+ z1 = 2;
+ } else { // (0-0).
+ SETVECTOR3(U, C, A, B); // PT = ST
+ SETVECTOR3(V, Q, P, R); // PL = SL
+ SETVECTOR3(pu, 2, 0, 1);
+ SETVECTOR3(pv, 1, 0, 2);
+ z1 = 3;
+ }
+ }
+ } else {
+ if (sB > 0) {
+ if (sC < 0) { // (0+-).
+ SETVECTOR3(U, A, B, C); // I3
+ SETVECTOR3(V, Q, P, R); // PL = SL
+ SETVECTOR3(pu, 0, 1, 2);
+ SETVECTOR3(pv, 1, 0, 2);
+ z1 = 2;
+ } else {
+ if (sC > 0) { // (0++).
+ SETVECTOR3(U, B, C, A); // PT = ST x ST
+ SETVECTOR3(V, Q, P, R); // PL = SL
+ SETVECTOR3(pu, 1, 2, 0);
+ SETVECTOR3(pv, 1, 0, 2);
+ z1 = 1;
+ } else { // (0+0).
+ SETVECTOR3(U, C, A, B); // PT = ST
+ SETVECTOR3(V, P, Q, R); // I2
+ SETVECTOR3(pu, 2, 0, 1);
+ SETVECTOR3(pv, 0, 1, 2);
+ z1 = 3;
+ }
+ }
+ } else { // (00#)
+ if (sC < 0) { // (00-).
+ SETVECTOR3(U, A, B, C); // I3
+ SETVECTOR3(V, Q, P, R); // PL = SL
+ SETVECTOR3(pu, 0, 1, 2);
+ SETVECTOR3(pv, 1, 0, 2);
+ z1 = 3;
+ } else {
+ if (sC > 0) { // (00+).
+ SETVECTOR3(U, A, B, C); // I3
+ SETVECTOR3(V, P, Q, R); // I2
+ SETVECTOR3(pu, 0, 1, 2);
+ SETVECTOR3(pv, 0, 1, 2);
+ z1 = 3;
+ } else { // (000)
+ // Not possible unless ABC is degenerate.
+ // Avoiding compiler warnings.
+ SETVECTOR3(U, A, B, C); // I3
+ SETVECTOR3(V, P, Q, R); // I2
+ SETVECTOR3(pu, 0, 1, 2);
+ SETVECTOR3(pv, 0, 1, 2);
+ z1 = 4;
+ }
+ }
+ }
+ }
+ }
+ }
+
+ s1 = orient3d(U[0], U[2], R, V[1]); // A, C, R, Q
+ s2 = orient3d(U[1], U[2], R, V[0]); // B, C, R, P
+
+ if (s1 > 0) {
+ return 0;
+ }
+ if (s2 < 0) {
+ return 0;
+ }
+
+ if (level == 0) {
+ return 1; // They are intersected.
+ }
+
+ assert(z1 != 4); // SELF_CHECK
+
+ if (z1 == 1) {
+ if (s1 == 0) { // (0###)
+ // C = Q.
+ types[0] = (int) SHAREVERT;
+ pos[0] = pu[2]; // C
+ pos[1] = pv[1]; // Q
+ types[1] = (int) DISJOINT;
+ } else {
+ if (s2 == 0) { // (#0##)
+ // C = P.
+ types[0] = (int) SHAREVERT;
+ pos[0] = pu[2]; // C
+ pos[1] = pv[0]; // P
+ types[1] = (int) DISJOINT;
+ } else { // (-+##)
+ // C in [P, Q].
+ types[0] = (int) ACROSSVERT;
+ pos[0] = pu[2]; // C
+ pos[1] = pv[0]; // [P, Q]
+ types[1] = (int) DISJOINT;
+ }
+ }
+ return 4;
+ }
+
+ s3 = orient3d(U[0], U[2], R, V[0]); // A, C, R, P
+ s4 = orient3d(U[1], U[2], R, V[1]); // B, C, R, Q
+
+ if (z1 == 0) { // (tritri-03)
+ if (s1 < 0) {
+ if (s3 > 0) {
+ assert(s2 > 0); // SELF_CHECK
+ if (s4 > 0) {
+ // [P, Q] overlaps [k, l] (-+++).
+ types[0] = (int) ACROSSEDGE;
+ pos[0] = pu[2]; // [C, A]
+ pos[1] = pv[0]; // [P, Q]
+ types[1] = (int) TOUCHFACE;
+ pos[2] = 3; // [A, B, C]
+ pos[3] = pv[1]; // Q
+ } else {
+ if (s4 == 0) {
+ // Q = l, [P, Q] contains [k, l] (-++0).
+ types[0] = (int) ACROSSEDGE;
+ pos[0] = pu[2]; // [C, A]
+ pos[1] = pv[0]; // [P, Q]
+ types[1] = (int) TOUCHEDGE;
+ pos[2] = pu[1]; // [B, C]
+ pos[3] = pv[1]; // Q
+ } else { // s4 < 0
+ // [P, Q] contains [k, l] (-++-).
+ types[0] = (int) ACROSSEDGE;
+ pos[0] = pu[2]; // [C, A]
+ pos[1] = pv[0]; // [P, Q]
+ types[1] = (int) ACROSSEDGE;
+ pos[2] = pu[1]; // [B, C]
+ pos[3] = pv[0]; // [P, Q]
+ }
+ }
+ } else {
+ if (s3 == 0) {
+ assert(s2 > 0); // SELF_CHECK
+ if (s4 > 0) {
+ // P = k, [P, Q] in [k, l] (-+0+).
+ types[0] = (int) TOUCHEDGE;
+ pos[0] = pu[2]; // [C, A]
+ pos[1] = pv[0]; // P
+ types[1] = (int) TOUCHFACE;
+ pos[2] = 3; // [A, B, C]
+ pos[3] = pv[1]; // Q
+ } else {
+ if (s4 == 0) {
+ // [P, Q] = [k, l] (-+00).
+ types[0] = (int) TOUCHEDGE;
+ pos[0] = pu[2]; // [C, A]
+ pos[1] = pv[0]; // P
+ types[1] = (int) TOUCHEDGE;
+ pos[2] = pu[1]; // [B, C]
+ pos[3] = pv[1]; // Q
+ } else {
+ // P = k, [P, Q] contains [k, l] (-+0-).
+ types[0] = (int) TOUCHEDGE;
+ pos[0] = pu[2]; // [C, A]
+ pos[1] = pv[0]; // P
+ types[1] = (int) ACROSSEDGE;
+ pos[2] = pu[1]; // [B, C]
+ pos[3] = pv[0]; // [P, Q]
+ }
+ }
+ } else { // s3 < 0
+ if (s2 > 0) {
+ if (s4 > 0) {
+ // [P, Q] in [k, l] (-+-+).
+ types[0] = (int) TOUCHFACE;
+ pos[0] = 3; // [A, B, C]
+ pos[1] = pv[0]; // P
+ types[1] = (int) TOUCHFACE;
+ pos[2] = 3; // [A, B, C]
+ pos[3] = pv[1]; // Q
+ } else {
+ if (s4 == 0) {
+ // Q = l, [P, Q] in [k, l] (-+-0).
+ types[0] = (int) TOUCHFACE;
+ pos[0] = 3; // [A, B, C]
+ pos[1] = pv[0]; // P
+ types[1] = (int) TOUCHEDGE;
+ pos[2] = pu[1]; // [B, C]
+ pos[3] = pv[1]; // Q
+ } else { // s4 < 0
+ // [P, Q] overlaps [k, l] (-+--).
+ types[0] = (int) TOUCHFACE;
+ pos[0] = 3; // [A, B, C]
+ pos[1] = pv[0]; // P
+ types[1] = (int) ACROSSEDGE;
+ pos[2] = pu[1]; // [B, C]
+ pos[3] = pv[0]; // [P, Q]
+ }
+ }
+ } else { // s2 == 0
+ // P = l (#0##).
+ types[0] = (int) TOUCHEDGE;
+ pos[0] = pu[1]; // [B, C]
+ pos[1] = pv[0]; // P
+ types[1] = (int) DISJOINT;
+ }
+ }
+ }
+ } else { // s1 == 0
+ // Q = k (0####)
+ types[0] = (int) TOUCHEDGE;
+ pos[0] = pu[2]; // [C, A]
+ pos[1] = pv[1]; // Q
+ types[1] = (int) DISJOINT;
+ }
+ } else if (z1 == 2) { // (tritri-23)
+ if (s1 < 0) {
+ if (s3 > 0) {
+ assert(s2 > 0); // SELF_CHECK
+ if (s4 > 0) {
+ // [P, Q] overlaps [A, l] (-+++).
+ types[0] = (int) ACROSSVERT;
+ pos[0] = pu[0]; // A
+ pos[1] = pv[0]; // [P, Q]
+ types[1] = (int) TOUCHFACE;
+ pos[2] = 3; // [A, B, C]
+ pos[3] = pv[1]; // Q
+ } else {
+ if (s4 == 0) {
+ // Q = l, [P, Q] contains [A, l] (-++0).
+ types[0] = (int) ACROSSVERT;
+ pos[0] = pu[0]; // A
+ pos[1] = pv[0]; // [P, Q]
+ types[1] = (int) TOUCHEDGE;
+ pos[2] = pu[1]; // [B, C]
+ pos[3] = pv[1]; // Q
+ } else { // s4 < 0
+ // [P, Q] contains [A, l] (-++-).
+ types[0] = (int) ACROSSVERT;
+ pos[0] = pu[0]; // A
+ pos[1] = pv[0]; // [P, Q]
+ types[1] = (int) ACROSSEDGE;
+ pos[2] = pu[1]; // [B, C]
+ pos[3] = pv[0]; // [P, Q]
+ }
+ }
+ } else {
+ if (s3 == 0) {
+ assert(s2 > 0); // SELF_CHECK
+ if (s4 > 0) {
+ // P = A, [P, Q] in [A, l] (-+0+).
+ types[0] = (int) SHAREVERT;
+ pos[0] = pu[0]; // A
+ pos[1] = pv[0]; // P
+ types[1] = (int) TOUCHFACE;
+ pos[2] = 3; // [A, B, C]
+ pos[3] = pv[1]; // Q
+ } else {
+ if (s4 == 0) {
+ // [P, Q] = [A, l] (-+00).
+ types[0] = (int) SHAREVERT;
+ pos[0] = pu[0]; // A
+ pos[1] = pv[0]; // P
+ types[1] = (int) TOUCHEDGE;
+ pos[2] = pu[1]; // [B, C]
+ pos[3] = pv[1]; // Q
+ } else { // s4 < 0
+ // Q = l, [P, Q] in [A, l] (-+0-).
+ types[0] = (int) SHAREVERT;
+ pos[0] = pu[0]; // A
+ pos[1] = pv[0]; // P
+ types[1] = (int) ACROSSEDGE;
+ pos[2] = pu[1]; // [B, C]
+ pos[3] = pv[0]; // [P, Q]
+ }
+ }
+ } else { // s3 < 0
+ if (s2 > 0) {
+ if (s4 > 0) {
+ // [P, Q] in [A, l] (-+-+).
+ types[0] = (int) TOUCHFACE;
+ pos[0] = 3; // [A, B, C]
+ pos[1] = pv[0]; // P
+ types[0] = (int) TOUCHFACE;
+ pos[0] = 3; // [A, B, C]
+ pos[1] = pv[1]; // Q
+ } else {
+ if (s4 == 0) {
+ // Q = l, [P, Q] in [A, l] (-+-0).
+ types[0] = (int) TOUCHFACE;
+ pos[0] = 3; // [A, B, C]
+ pos[1] = pv[0]; // P
+ types[0] = (int) TOUCHEDGE;
+ pos[0] = pu[1]; // [B, C]
+ pos[1] = pv[1]; // Q
+ } else { // s4 < 0
+ // [P, Q] overlaps [A, l] (-+--).
+ types[0] = (int) TOUCHFACE;
+ pos[0] = 3; // [A, B, C]
+ pos[1] = pv[0]; // P
+ types[0] = (int) ACROSSEDGE;
+ pos[0] = pu[1]; // [B, C]
+ pos[1] = pv[0]; // [P, Q]
+ }
+ }
+ } else { // s2 == 0
+ // P = l (#0##).
+ types[0] = (int) TOUCHEDGE;
+ pos[0] = pu[1]; // [B, C]
+ pos[1] = pv[0]; // P
+ types[1] = (int) DISJOINT;
+ }
+ }
+ }
+ } else { // s1 == 0
+ // Q = A (0###).
+ types[0] = (int) SHAREVERT;
+ pos[0] = pu[0]; // A
+ pos[1] = pv[1]; // Q
+ types[1] = (int) DISJOINT;
+ }
+ } else if (z1 == 3) { // (tritri-33)
+ if (s1 < 0) {
+ if (s3 > 0) {
+ assert(s2 > 0); // SELF_CHECK
+ if (s4 > 0) {
+ // [P, Q] overlaps [A, B] (-+++).
+ types[0] = (int) ACROSSVERT;
+ pos[0] = pu[0]; // A
+ pos[1] = pv[0]; // [P, Q]
+ types[1] = (int) TOUCHEDGE;
+ pos[2] = pu[0]; // [A, B]
+ pos[3] = pv[1]; // Q
+ } else {
+ if (s4 == 0) {
+ // Q = B, [P, Q] contains [A, B] (-++0).
+ types[0] = (int) ACROSSVERT;
+ pos[0] = pu[0]; // A
+ pos[1] = pv[0]; // [P, Q]
+ types[1] = (int) SHAREVERT;
+ pos[2] = pu[1]; // B
+ pos[3] = pv[1]; // Q
+ } else { // s4 < 0
+ // [P, Q] contains [A, B] (-++-).
+ types[0] = (int) ACROSSVERT;
+ pos[0] = pu[0]; // A
+ pos[1] = pv[0]; // [P, Q]
+ types[1] = (int) ACROSSVERT;
+ pos[2] = pu[1]; // B
+ pos[3] = pv[0]; // [P, Q]
+ }
+ }
+ } else {
+ if (s3 == 0) {
+ assert(s2 > 0); // SELF_CHECK
+ if (s4 > 0) {
+ // P = A, [P, Q] in [A, B] (-+0+).
+ types[0] = (int) SHAREVERT;
+ pos[0] = pu[0]; // A
+ pos[1] = pv[0]; // P
+ types[1] = (int) TOUCHEDGE;
+ pos[2] = pu[0]; // [A, B]
+ pos[3] = pv[1]; // Q
+ } else {
+ if (s4 == 0) {
+ // [P, Q] = [A, B] (-+00).
+ types[0] = (int) SHAREEDGE;
+ pos[0] = pu[0]; // [A, B]
+ pos[1] = pv[0]; // [P, Q]
+ types[1] = (int) DISJOINT;
+ } else { // s4 < 0
+ // P= A, [P, Q] in [A, B] (-+0-).
+ types[0] = (int) SHAREVERT;
+ pos[0] = pu[0]; // A
+ pos[1] = pv[0]; // P
+ types[1] = (int) ACROSSVERT;
+ pos[2] = pu[1]; // B
+ pos[3] = pv[0]; // [P, Q]
+ }
+ }
+ } else { // s3 < 0
+ if (s2 > 0) {
+ if (s4 > 0) {
+ // [P, Q] in [A, B] (-+-+).
+ types[0] = (int) TOUCHEDGE;
+ pos[0] = pu[0]; // [A, B]
+ pos[1] = pv[0]; // P
+ types[1] = (int) TOUCHEDGE;
+ pos[2] = pu[0]; // [A, B]
+ pos[3] = pv[1]; // Q
+ } else {
+ if (s4 == 0) {
+ // Q = B, [P, Q] in [A, B] (-+-0).
+ types[0] = (int) TOUCHEDGE;
+ pos[0] = pu[0]; // [A, B]
+ pos[1] = pv[0]; // P
+ types[1] = (int) SHAREVERT;
+ pos[2] = pu[1]; // B
+ pos[3] = pv[1]; // Q
+ } else { // s4 < 0
+ // [P, Q] overlaps [A, B] (-+--).
+ types[0] = (int) TOUCHEDGE;
+ pos[0] = pu[0]; // [A, B]
+ pos[1] = pv[0]; // P
+ types[1] = (int) ACROSSVERT;
+ pos[2] = pu[1]; // B
+ pos[3] = pv[0]; // [P, Q]
+ }
+ }
+ } else { // s2 == 0
+ // P = B (#0##).
+ types[0] = (int) SHAREVERT;
+ pos[0] = pu[1]; // B
+ pos[1] = pv[0]; // P
+ types[1] = (int) DISJOINT;
+ }
+ }
+ }
+ } else { // s1 == 0
+ // Q = A (0###).
+ types[0] = (int) SHAREVERT;
+ pos[0] = pu[0]; // A
+ pos[1] = pv[1]; // Q
+ types[1] = (int) DISJOINT;
+ }
+ }
+
+ return 4;
+}
+
+int meshGRegionBoundaryRecovery::tri_edge_tail(point A,point B,point C,point P,
+ point Q,point R, REAL sP,REAL sQ,int level,int *types,int *pos)
+{
+ point U[3], V[3]; //, Ptmp;
+ int pu[3], pv[3]; //, itmp;
+ REAL s1, s2, s3;
+ int z1;
+
+
+ if (sP < 0) {
+ if (sQ < 0) { // (--) disjoint
+ return 0;
+ } else {
+ if (sQ > 0) { // (-+)
+ SETVECTOR3(U, A, B, C);
+ SETVECTOR3(V, P, Q, R);
+ SETVECTOR3(pu, 0, 1, 2);
+ SETVECTOR3(pv, 0, 1, 2);
+ z1 = 0;
+ } else { // (-0)
+ SETVECTOR3(U, A, B, C);
+ SETVECTOR3(V, P, Q, R);
+ SETVECTOR3(pu, 0, 1, 2);
+ SETVECTOR3(pv, 0, 1, 2);
+ z1 = 1;
+ }
+ }
+ } else {
+ if (sP > 0) { // (+-)
+ if (sQ < 0) {
+ SETVECTOR3(U, A, B, C);
+ SETVECTOR3(V, Q, P, R); // P and Q are flipped.
+ SETVECTOR3(pu, 0, 1, 2);
+ SETVECTOR3(pv, 1, 0, 2);
+ z1 = 0;
+ } else {
+ if (sQ > 0) { // (++) disjoint
+ return 0;
+ } else { // (+0)
+ SETVECTOR3(U, B, A, C); // A and B are flipped.
+ SETVECTOR3(V, P, Q, R);
+ SETVECTOR3(pu, 1, 0, 2);
+ SETVECTOR3(pv, 0, 1, 2);
+ z1 = 1;
+ }
+ }
+ } else { // sP == 0
+ if (sQ < 0) { // (0-)
+ SETVECTOR3(U, A, B, C);
+ SETVECTOR3(V, Q, P, R); // P and Q are flipped.
+ SETVECTOR3(pu, 0, 1, 2);
+ SETVECTOR3(pv, 1, 0, 2);
+ z1 = 1;
+ } else {
+ if (sQ > 0) { // (0+)
+ SETVECTOR3(U, B, A, C); // A and B are flipped.
+ SETVECTOR3(V, Q, P, R); // P and Q are flipped.
+ SETVECTOR3(pu, 1, 0, 2);
+ SETVECTOR3(pv, 1, 0, 2);
+ z1 = 1;
+ } else { // (00)
+ // A, B, C, P, and Q are coplanar.
+ z1 = 2;
+ }
+ }
+ }
+ }
+
+ if (z1 == 2) {
+ // The triangle and the edge are coplanar.
+ return tri_edge_2d(A, B, C, P, Q, R, level, types, pos);
+ }
+
+ s1 = orient3d(U[0], U[1], V[0], V[1]);
+ if (s1 < 0) {
+ return 0;
+ }
+
+ s2 = orient3d(U[1], U[2], V[0], V[1]);
+ if (s2 < 0) {
+ return 0;
+ }
+
+ s3 = orient3d(U[2], U[0], V[0], V[1]);
+ if (s3 < 0) {
+ return 0;
+ }
+
+ if (level == 0) {
+ return 1; // The are intersected.
+ }
+
+ types[1] = (int) DISJOINT; // No second intersection point.
+
+ if (z1 == 0) {
+ if (s1 > 0) {
+ if (s2 > 0) {
+ if (s3 > 0) { // (+++)
+ // [P, Q] passes interior of [A, B, C].
+ types[0] = (int) ACROSSFACE;
+ pos[0] = 3; // interior of [A, B, C]
+ pos[1] = 0; // [P, Q]
+ } else { // s3 == 0 (++0)
+ // [P, Q] intersects [C, A].
+ types[0] = (int) ACROSSEDGE;
+ pos[0] = pu[2]; // [C, A]
+ pos[1] = 0; // [P, Q]
+ }
+ } else { // s2 == 0
+ if (s3 > 0) { // (+0+)
+ // [P, Q] intersects [B, C].
+ types[0] = (int) ACROSSEDGE;
+ pos[0] = pu[1]; // [B, C]
+ pos[1] = 0; // [P, Q]
+ } else { // s3 == 0 (+00)
+ // [P, Q] passes C.
+ types[0] = (int) ACROSSVERT;
+ pos[0] = pu[2]; // C
+ pos[1] = 0; // [P, Q]
+ }
+ }
+ } else { // s1 == 0
+ if (s2 > 0) {
+ if (s3 > 0) { // (0++)
+ // [P, Q] intersects [A, B].
+ types[0] = (int) ACROSSEDGE;
+ pos[0] = pu[0]; // [A, B]
+ pos[1] = 0; // [P, Q]
+ } else { // s3 == 0 (0+0)
+ // [P, Q] passes A.
+ types[0] = (int) ACROSSVERT;
+ pos[0] = pu[0]; // A
+ pos[1] = 0; // [P, Q]
+ }
+ } else { // s2 == 0
+ if (s3 > 0) { // (00+)
+ // [P, Q] passes B.
+ types[0] = (int) ACROSSVERT;
+ pos[0] = pu[1]; // B
+ pos[1] = 0; // [P, Q]
+ } else { // s3 == 0 (000)
+ // Impossible.
+ assert(0);
+ }
+ }
+ }
+ } else { // z1 == 1
+ if (s1 > 0) {
+ if (s2 > 0) {
+ if (s3 > 0) { // (+++)
+ // Q lies in [A, B, C].
+ types[0] = (int) TOUCHFACE;
+ pos[0] = 0; // [A, B, C]
+ pos[1] = pv[1]; // Q
+ } else { // s3 == 0 (++0)
+ // Q lies on [C, A].
+ types[0] = (int) TOUCHEDGE;
+ pos[0] = pu[2]; // [C, A]
+ pos[1] = pv[1]; // Q
+ }
+ } else { // s2 == 0
+ if (s3 > 0) { // (+0+)
+ // Q lies on [B, C].
+ types[0] = (int) TOUCHEDGE;
+ pos[0] = pu[1]; // [B, C]
+ pos[1] = pv[1]; // Q
+ } else { // s3 == 0 (+00)
+ // Q = C.
+ types[0] = (int) SHAREVERT;
+ pos[0] = pu[2]; // C
+ pos[1] = pv[1]; // Q
+ }
+ }
+ } else { // s1 == 0
+ if (s2 > 0) {
+ if (s3 > 0) { // (0++)
+ // Q lies on [A, B].
+ types[0] = (int) TOUCHEDGE;
+ pos[0] = pu[0]; // [A, B]
+ pos[1] = pv[1]; // Q
+ } else { // s3 == 0 (0+0)
+ // Q = A.
+ types[0] = (int) SHAREVERT;
+ pos[0] = pu[0]; // A
+ pos[1] = pv[1]; // Q
+ }
+ } else { // s2 == 0
+ if (s3 > 0) { // (00+)
+ // Q = B.
+ types[0] = (int) SHAREVERT;
+ pos[0] = pu[1]; // B
+ pos[1] = pv[1]; // Q
+ } else { // s3 == 0 (000)
+ // Impossible.
+ assert(0);
+ }
+ }
+ }
+ }
+
+ // T and E intersect in a single point.
+ return 2;
+}
+
+int meshGRegionBoundaryRecovery::tri_edge_test(point A, point B, point C,
+ point P, point Q, point R, int level, int *types, int *pos)
+{
+ REAL sP, sQ;
+
+ // Test the locations of P and Q with respect to ABC.
+ sP = orient3d(A, B, C, P);
+ sQ = orient3d(A, B, C, Q);
+
+ return tri_edge_tail(A, B, C, P, Q, R, sP, sQ, level, types, pos);
+}
+
+bool meshGRegionBoundaryRecovery::lu_decmp(REAL lu[4][4], int n, int* ps,
+ REAL* d, int N)
+{
+ REAL scales[4];
+ REAL pivot, biggest, mult, tempf;
+ int pivotindex = 0;
+ int i, j, k;
+
+ *d = 1.0; // No row interchanges yet.
+
+ for (i = N; i < n + N; i++) { // For each row.
+ // Find the largest element in each row for row equilibration
+ biggest = 0.0;
+ for (j = N; j < n + N; j++)
+ if (biggest < (tempf = fabs(lu[i][j])))
+ biggest = tempf;
+ if (biggest != 0.0)
+ scales[i] = 1.0 / biggest;
+ else {
+ scales[i] = 0.0;
+ return false; // Zero row: singular matrix.
+ }
+ ps[i] = i; // Initialize pivot sequence.
+ }
+
+ for (k = N; k < n + N - 1; k++) { // For each column.
+ // Find the largest element in each column to pivot around.
+ biggest = 0.0;
+ for (i = k; i < n + N; i++) {
+ if (biggest < (tempf = fabs(lu[ps[i]][k]) * scales[ps[i]])) {
+ biggest = tempf;
+ pivotindex = i;
+ }
+ }
+ if (biggest == 0.0) {
+ return false; // Zero column: singular matrix.
+ }
+ if (pivotindex != k) { // Update pivot sequence.
+ j = ps[k];
+ ps[k] = ps[pivotindex];
+ ps[pivotindex] = j;
+ *d = -(*d); // ...and change the parity of d.
+ }
+
+ // Pivot, eliminating an extra variable each time
+ pivot = lu[ps[k]][k];
+ for (i = k + 1; i < n + N; i++) {
+ lu[ps[i]][k] = mult = lu[ps[i]][k] / pivot;
+ if (mult != 0.0) {
+ for (j = k + 1; j < n + N; j++)
+ lu[ps[i]][j] -= mult * lu[ps[k]][j];
+ }
+ }
+ }
+
+ // (lu[ps[n + N - 1]][n + N - 1] == 0.0) ==> A is singular.
+ return lu[ps[n + N - 1]][n + N - 1] != 0.0;
+}
+
+void meshGRegionBoundaryRecovery::lu_solve(REAL lu[4][4], int n, int* ps,
+ REAL* b, int N)
+{
+ int i, j;
+ REAL X[4], dot;
+
+ for (i = N; i < n + N; i++) X[i] = 0.0;
+
+ // Vector reduction using U triangular matrix.
+ for (i = N; i < n + N; i++) {
+ dot = 0.0;
+ for (j = N; j < i + N; j++)
+ dot += lu[ps[i]][j] * X[j];
+ X[i] = b[ps[i]] - dot;
+ }
+
+ // Back substitution, in L triangular matrix.
+ for (i = n + N - 1; i >= N; i--) {
+ dot = 0.0;
+ for (j = i + 1; j < n + N; j++)
+ dot += lu[ps[i]][j] * X[j];
+ X[i] = (X[i] - dot) / lu[ps[i]][i];
+ }
+
+ for (i = N; i < n + N; i++) b[i] = X[i];
+}
+
+REAL meshGRegionBoundaryRecovery::incircle3d(point pa, point pb, point pc,
+ point pd)
+{
+ REAL area2[2], n1[3], n2[3], c[3];
+ REAL sign, r, d;
+
+ // Calculate the areas of the two triangles [a, b, c] and [b, a, d].
+ facenormal(pa, pb, pc, n1, 1, NULL);
+ area2[0] = dot(n1, n1);
+ facenormal(pb, pa, pd, n2, 1, NULL);
+ area2[1] = dot(n2, n2);
+
+ if (area2[0] > area2[1]) {
+ // Choose [a, b, c] as the base triangle.
+ circumsphere(pa, pb, pc, NULL, c, &r);
+ d = distance(c, pd);
+ } else {
+ // Choose [b, a, d] as the base triangle.
+ if (area2[1] > 0) {
+ circumsphere(pb, pa, pd, NULL, c, &r);
+ d = distance(c, pc);
+ } else {
+ // The four points are collinear. This case only happens on the boundary.
+ return 0; // Return "not inside".
+ }
+ }
+
+ sign = d - r;
+ if (fabs(sign) / r < b->epsilon) {
+ sign = 0;
+ }
+
+ return sign;
+}
+
+void meshGRegionBoundaryRecovery::facenormal(point pa, point pb, point pc,
+ REAL *n, int pivot, REAL* lav)
+{
+ REAL v1[3], v2[3], v3[3], *pv1, *pv2;
+ REAL L1, L2, L3;
+
+ v1[0] = pb[0] - pa[0]; // edge vector v1: a->b
+ v1[1] = pb[1] - pa[1];
+ v1[2] = pb[2] - pa[2];
+ v2[0] = pa[0] - pc[0]; // edge vector v2: c->a
+ v2[1] = pa[1] - pc[1];
+ v2[2] = pa[2] - pc[2];
+
+ // Default, normal is calculated by: v1 x (-v2) (see Fig. fnormal).
+ if (pivot > 0) {
+ // Choose edge vectors by Burdakov's algorithm.
+ v3[0] = pc[0] - pb[0]; // edge vector v3: b->c
+ v3[1] = pc[1] - pb[1];
+ v3[2] = pc[2] - pb[2];
+ L1 = dot(v1, v1);
+ L2 = dot(v2, v2);
+ L3 = dot(v3, v3);
+ // Sort the three edge lengths.
+ if (L1 < L2) {
+ if (L2 < L3) {
+ pv1 = v1; pv2 = v2; // n = v1 x (-v2).
+ } else {
+ pv1 = v3; pv2 = v1; // n = v3 x (-v1).
+ }
+ } else {
+ if (L1 < L3) {
+ pv1 = v1; pv2 = v2; // n = v1 x (-v2).
+ } else {
+ pv1 = v2; pv2 = v3; // n = v2 x (-v3).
+ }
+ }
+ if (lav) {
+ // return the average edge length.
+ *lav = (sqrt(L1) + sqrt(L2) + sqrt(L3)) / 3.0;
+ }
+ } else {
+ pv1 = v1; pv2 = v2; // n = v1 x (-v2).
+ }
+
+ // Calculate the face normal.
+ cross(pv1, pv2, n);
+ // Inverse the direction;
+ n[0] = -n[0];
+ n[1] = -n[1];
+ n[2] = -n[2];
+}
+
+REAL meshGRegionBoundaryRecovery::orient3dfast(REAL *pa, REAL *pb, REAL *pc,
+ REAL *pd)
+{
+ REAL adx, bdx, cdx;
+ REAL ady, bdy, cdy;
+ REAL adz, bdz, cdz;
+
+ adx = pa[0] - pd[0];
+ bdx = pb[0] - pd[0];
+ cdx = pc[0] - pd[0];
+ ady = pa[1] - pd[1];
+ bdy = pb[1] - pd[1];
+ cdy = pc[1] - pd[1];
+ adz = pa[2] - pd[2];
+ bdz = pb[2] - pd[2];
+ cdz = pc[2] - pd[2];
+
+ return adx * (bdy * cdz - bdz * cdy)
+ + bdx * (cdy * adz - cdz * ady)
+ + cdx * (ady * bdz - adz * bdy);
+}
+
+bool meshGRegionBoundaryRecovery::tetalldihedral(point pa, point pb, point pc,
+ point pd, REAL* cosdd, REAL* cosmaxd, REAL* cosmind)
+{
+ REAL N[4][3], vol, cosd, len;
+ int f1 = 0, f2 = 0, i, j;
+
+ vol = 0; // Check if the tet is valid or not.
+
+ // Get four normals of faces of the tet.
+ tetallnormal(pa, pb, pc, pd, N, &vol);
+
+ if (vol > 0) {
+ // Normalize the normals.
+ for (i = 0; i < 4; i++) {
+ len = sqrt(dot(N[i], N[i]));
+ if (len != 0.0) {
+ for (j = 0; j < 3; j++) N[i][j] /= len;
+ } else {
+ // There are degeneracies, such as duplicated vertices.
+ vol = 0; //assert(0);
+ }
+ }
+ }
+
+ if (vol <= 0) { // if (vol == 0.0) {
+ // A degenerated tet or an inverted tet.
+ facenormal(pc, pb, pd, N[0], 1, NULL);
+ facenormal(pa, pc, pd, N[1], 1, NULL);
+ facenormal(pb, pa, pd, N[2], 1, NULL);
+ facenormal(pa, pb, pc, N[3], 1, NULL);
+ // Normalize the normals.
+ for (i = 0; i < 4; i++) {
+ len = sqrt(dot(N[i], N[i]));
+ if (len != 0.0) {
+ for (j = 0; j < 3; j++) N[i][j] /= len;
+ } else {
+ // There are degeneracies, such as duplicated vertices.
+ break; // Not a valid normal.
+ }
+ }
+ if (i < 4) {
+ // Do not calculate dihedral angles.
+ // Set all angles be 0 degree. There will be no quality optimization for
+ // this tet! Use volume optimization to correct it.
+ if (cosdd != NULL) {
+ for (i = 0; i < 6; i++) {
+ cosdd[i] = -1.0; // 180 degree.
+ }
+ }
+ // This tet has zero volume.
+ if (cosmaxd != NULL) {
+ *cosmaxd = -1.0; // 180 degree.
+ }
+ if (cosmind != NULL) {
+ *cosmind = -1.0; // 180 degree.
+ }
+ return false;
+ }
+ }
+
+ // Calculate the cosine of the dihedral angles of the edges.
+ for (i = 0; i < 6; i++) {
+ switch (i) {
+ case 0: f1 = 0; f2 = 1; break; // [c,d].
+ case 1: f1 = 1; f2 = 2; break; // [a,d].
+ case 2: f1 = 2; f2 = 3; break; // [a,b].
+ case 3: f1 = 0; f2 = 3; break; // [b,c].
+ case 4: f1 = 2; f2 = 0; break; // [b,d].
+ case 5: f1 = 1; f2 = 3; break; // [a,c].
+ }
+ cosd = -dot(N[f1], N[f2]);
+ if (cosd < -1.0) cosd = -1.0; // Rounding.
+ if (cosd > 1.0) cosd = 1.0; // Rounding.
+ if (cosdd) cosdd[i] = cosd;
+ if (cosmaxd || cosmind) {
+ if (i == 0) {
+ if (cosmaxd) *cosmaxd = cosd;
+ if (cosmind) *cosmind = cosd;
+ } else {
+ if (cosmaxd) *cosmaxd = cosd < *cosmaxd ? cosd : *cosmaxd;
+ if (cosmind) *cosmind = cosd > *cosmind ? cosd : *cosmind;
+ }
+ }
+ }
+
+ return true;
+}
+
+void meshGRegionBoundaryRecovery::tetallnormal(point pa, point pb, point pc,
+ point pd, REAL N[4][3], REAL* volume)
+{
+ REAL A[4][4], rhs[4], D;
+ int indx[4];
+ int i, j;
+
+ // get the entries of A[3][3].
+ for (i = 0; i < 3; i++) A[0][i] = pa[i] - pd[i]; // d->a vec
+ for (i = 0; i < 3; i++) A[1][i] = pb[i] - pd[i]; // d->b vec
+ for (i = 0; i < 3; i++) A[2][i] = pc[i] - pd[i]; // d->c vec
+
+ // Compute the inverse of matrix A, to get 3 normals of the 4 faces.
+ if (lu_decmp(A, 3, indx, &D, 0)) { // Decompose the matrix just once.
+ if (volume != NULL) {
+ // Get the volume of the tet.
+ *volume = fabs((A[indx[0]][0] * A[indx[1]][1] * A[indx[2]][2])) / 6.0;
+ }
+ for (j = 0; j < 3; j++) {
+ for (i = 0; i < 3; i++) rhs[i] = 0.0;
+ rhs[j] = 1.0; // Positive means the inside direction
+ lu_solve(A, 3, indx, rhs, 0);
+ for (i = 0; i < 3; i++) N[j][i] = rhs[i];
+ }
+ // Get the fourth normal by summing up the first three.
+ for (i = 0; i < 3; i++) N[3][i] = - N[0][i] - N[1][i] - N[2][i];
+ } else {
+ // The tet is degenerated.
+ if (volume != NULL) {
+ *volume = 0;
+ }
+ }
+}
+
+REAL meshGRegionBoundaryRecovery::tetaspectratio(point pa, point pb, point pc,
+ point pd)
+{
+ REAL vda[3], vdb[3], vdc[3];
+ REAL N[4][3], A[4][4], rhs[4], D;
+ REAL H[4], volume, radius2, minheightinv;
+ int indx[4];
+ int i, j;
+
+ // Set the matrix A = [vda, vdb, vdc]^T.
+ for (i = 0; i < 3; i++) A[0][i] = vda[i] = pa[i] - pd[i];
+ for (i = 0; i < 3; i++) A[1][i] = vdb[i] = pb[i] - pd[i];
+ for (i = 0; i < 3; i++) A[2][i] = vdc[i] = pc[i] - pd[i];
+ // Lu-decompose the matrix A.
+ lu_decmp(A, 3, indx, &D, 0);
+ // Get the volume of abcd.
+ volume = (A[indx[0]][0] * A[indx[1]][1] * A[indx[2]][2]) / 6.0;
+ // Check if it is zero.
+ if (volume == 0.0) return 1.0e+200; // A degenerate tet.
+ // if (volume < 0.0) volume = -volume;
+ // Check the radiu-edge ratio of the tet.
+ rhs[0] = 0.5 * dot(vda, vda);
+ rhs[1] = 0.5 * dot(vdb, vdb);
+ rhs[2] = 0.5 * dot(vdc, vdc);
+ lu_solve(A, 3, indx, rhs, 0);
+ // Get the circumcenter.
+ // for (i = 0; i < 3; i++) circumcent[i] = pd[i] + rhs[i];
+ // Get the square of the circumradius.
+ radius2 = dot(rhs, rhs);
+
+ // Compute the 4 face normals (N[0], ..., N[3]).
+ for (j = 0; j < 3; j++) {
+ for (i = 0; i < 3; i++) rhs[i] = 0.0;
+ rhs[j] = 1.0; // Positive means the inside direction
+ lu_solve(A, 3, indx, rhs, 0);
+ for (i = 0; i < 3; i++) N[j][i] = rhs[i];
+ }
+ // Get the fourth normal by summing up the first three.
+ for (i = 0; i < 3; i++) N[3][i] = - N[0][i] - N[1][i] - N[2][i];
+ // Normalized the normals.
+ for (i = 0; i < 4; i++) {
+ // H[i] is the inverse of the height of its corresponding face.
+ H[i] = sqrt(dot(N[i], N[i]));
+ // if (H[i] > 0.0) {
+ // for (j = 0; j < 3; j++) N[i][j] /= H[i];
+ // }
+ }
+ // Get the radius of the inscribed sphere.
+ // insradius = 1.0 / (H[0] + H[1] + H[2] + H[3]);
+ // Get the biggest H[i] (corresponding to the smallest height).
+ minheightinv = H[0];
+ for (i = 1; i < 4; i++) {
+ if (H[i] > minheightinv) minheightinv = H[i];
+ }
+
+ return sqrt(radius2) * minheightinv;
+}
+
+bool meshGRegionBoundaryRecovery::circumsphere(REAL* pa, REAL* pb, REAL* pc,
+ REAL* pd, REAL* cent, REAL* radius)
+{
+ REAL A[4][4], rhs[4], D;
+ int indx[4];
+
+ // Compute the coefficient matrix A (3x3).
+ A[0][0] = pb[0] - pa[0];
+ A[0][1] = pb[1] - pa[1];
+ A[0][2] = pb[2] - pa[2];
+ A[1][0] = pc[0] - pa[0];
+ A[1][1] = pc[1] - pa[1];
+ A[1][2] = pc[2] - pa[2];
+ if (pd != NULL) {
+ A[2][0] = pd[0] - pa[0];
+ A[2][1] = pd[1] - pa[1];
+ A[2][2] = pd[2] - pa[2];
+ } else {
+ cross(A[0], A[1], A[2]);
+ }
+
+ // Compute the right hand side vector b (3x1).
+ rhs[0] = 0.5 * dot(A[0], A[0]);
+ rhs[1] = 0.5 * dot(A[1], A[1]);
+ if (pd != NULL) {
+ rhs[2] = 0.5 * dot(A[2], A[2]);
+ } else {
+ rhs[2] = 0.0;
+ }
+
+ // Solve the 3 by 3 equations use LU decomposition with partial pivoting
+ // and backward and forward substitute..
+ if (!lu_decmp(A, 3, indx, &D, 0)) {
+ if (radius != (REAL *) NULL) *radius = 0.0;
+ return false;
+ }
+ lu_solve(A, 3, indx, rhs, 0);
+ if (cent != (REAL *) NULL) {
+ cent[0] = pa[0] + rhs[0];
+ cent[1] = pa[1] + rhs[1];
+ cent[2] = pa[2] + rhs[2];
+ }
+ if (radius != (REAL *) NULL) {
+ *radius = sqrt(rhs[0] * rhs[0] + rhs[1] * rhs[1] + rhs[2] * rhs[2]);
+ }
+ return true;
+}
+
+void meshGRegionBoundaryRecovery::planelineint(REAL* pa, REAL* pb, REAL* pc,
+ REAL* e1, REAL* e2, REAL* ip, REAL* u)
+{
+ REAL n[3], det, det1;
+
+ // Calculate N.
+ facenormal(pa, pb, pc, n, 1, NULL);
+ // Calculate N dot (e2 - e1).
+ det = n[0] * (e2[0] - e1[0]) + n[1] * (e2[1] - e1[1])
+ + n[2] * (e2[2] - e1[2]);
+ if (det != 0.0) {
+ // Calculate N dot (pa - e1)
+ det1 = n[0] * (pa[0] - e1[0]) + n[1] * (pa[1] - e1[1])
+ + n[2] * (pa[2] - e1[2]);
+ *u = det1 / det;
+ ip[0] = e1[0] + *u * (e2[0] - e1[0]);
+ ip[1] = e1[1] + *u * (e2[1] - e1[1]);
+ ip[2] = e1[2] + *u * (e2[2] - e1[2]);
+ } else {
+ *u = 0.0;
+ }
+}
+
+int meshGRegionBoundaryRecovery::linelineint(REAL* A, REAL* B, REAL* C,
+ REAL* D, REAL* P, REAL* Q, REAL* tp, REAL* tq)
+{
+ REAL vab[3], vcd[3], vca[3];
+ REAL vab_vab, vcd_vcd, vab_vcd;
+ REAL vca_vab, vca_vcd;
+ REAL det, eps;
+ int i;
+
+ for (i = 0; i < 3; i++) {
+ vab[i] = B[i] - A[i];
+ vcd[i] = D[i] - C[i];
+ vca[i] = A[i] - C[i];
+ }
+
+ vab_vab = dot(vab, vab);
+ vcd_vcd = dot(vcd, vcd);
+ vab_vcd = dot(vab, vcd);
+
+ det = vab_vab * vcd_vcd - vab_vcd * vab_vcd;
+ // Round the result.
+ eps = det / (fabs(vab_vab * vcd_vcd) + fabs(vab_vcd * vab_vcd));
+ if (eps < b->epsilon) {
+ return 0;
+ }
+
+ vca_vab = dot(vca, vab);
+ vca_vcd = dot(vca, vcd);
+
+ *tp = (vcd_vcd * (- vca_vab) + vab_vcd * vca_vcd) / det;
+ *tq = (vab_vcd * (- vca_vab) + vab_vab * vca_vcd) / det;
+
+ for (i = 0; i < 3; i++) P[i] = A[i] + (*tp) * vab[i];
+ for (i = 0; i < 3; i++) Q[i] = C[i] + (*tq) * vcd[i];
+
+ return 1;
+}
+
+REAL meshGRegionBoundaryRecovery::tetprismvol(REAL* p0, REAL* p1, REAL* p2,
+ REAL* p3)
+{
+ REAL *p4, *p5, *p6, *p7;
+ REAL w4, w5, w6, w7;
+ REAL vol[4];
+
+ p4 = p0;
+ p5 = p1;
+ p6 = p2;
+ p7 = p3;
+
+ // TO DO: these weights can be pre-calculated!
+ w4 = dot(p0, p0);
+ w5 = dot(p1, p1);
+ w6 = dot(p2, p2);
+ w7 = dot(p3, p3);
+
+ // Calculate the volume of the tet-prism.
+ vol[0] = orient4dfast(p5, p6, p4, p3, p7, w5, w6, w4, 0, w7);
+ vol[1] = orient4dfast(p3, p6, p2, p0, p1, 0, w6, 0, 0, 0);
+ vol[2] = orient4dfast(p4, p6, p3, p0, p1, w4, w6, 0, 0, 0);
+ vol[3] = orient4dfast(p6, p5, p4, p3, p1, w6, w5, w4, 0, 0);
+
+ return fabs(vol[0]) + fabs(vol[1]) + fabs(vol[2]) + fabs(vol[3]);
+}
+
+void meshGRegionBoundaryRecovery::calculateabovepoint4(point pa, point pb,
+ point pc, point pd)
+{
+ REAL n1[3], n2[3], *norm;
+ REAL len, len1, len2;
+
+ // Select a base.
+ facenormal(pa, pb, pc, n1, 1, NULL);
+ len1 = sqrt(dot(n1, n1));
+ facenormal(pa, pb, pd, n2, 1, NULL);
+ len2 = sqrt(dot(n2, n2));
+ if (len1 > len2) {
+ norm = n1;
+ len = len1;
+ } else {
+ norm = n2;
+ len = len2;
+ }
+ assert(len > 0);
+ norm[0] /= len;
+ norm[1] /= len;
+ norm[2] /= len;
+ len = distance(pa, pb);
+ dummypoint[0] = pa[0] + len * norm[0];
+ dummypoint[1] = pa[1] + len * norm[1];
+ dummypoint[2] = pa[2] + len * norm[2];
+}
+
+//// ////
+//// ////
+//// geom_cxx /////////////////////////////////////////////////////////////////
+
+//// flip_cxx /////////////////////////////////////////////////////////////////
+//// ////
+//// ////
+
+void meshGRegionBoundaryRecovery::flip23(triface* fliptets, int hullflag, flipconstraints *fc)
+{
+ triface topcastets[3], botcastets[3];
+ triface newface, casface;
+ point pa, pb, pc, pd, pe;
+ REAL attrib, volume;
+ int dummyflag = 0; // range = {-1, 0, 1, 2}.
+ int i;
+
+ if (hullflag > 0) {
+ // Check if e is dummypoint.
+ if (oppo(fliptets[1]) == dummypoint) {
+ // Swap the two old tets.
+ newface = fliptets[0];
+ fliptets[0] = fliptets[1];
+ fliptets[1] = newface;
+ dummyflag = -1; // d is dummypoint.
+ } else {
+ // Check if either a or b is dummypoint.
+ if (org(fliptets[0]) == dummypoint) {
+ dummyflag = 1; // a is dummypoint.
+ enextself(fliptets[0]);
+ eprevself(fliptets[1]);
+ } else if (dest(fliptets[0]) == dummypoint) {
+ dummyflag = 2; // b is dummypoint.
+ eprevself(fliptets[0]);
+ enextself(fliptets[1]);
+ } else {
+ dummyflag = 0; // either c or d may be dummypoint.
+ }
+ }
+ }
+
+ pa = org(fliptets[0]);
+ pb = dest(fliptets[0]);
+ pc = apex(fliptets[0]);
+ pd = oppo(fliptets[0]);
+ pe = oppo(fliptets[1]);
+
+ flip23count++;
+
+ // Get the outer boundary faces.
+ for (i = 0; i < 3; i++) {
+ fnext(fliptets[0], topcastets[i]);
+ enextself(fliptets[0]);
+ }
+ for (i = 0; i < 3; i++) {
+ fnext(fliptets[1], botcastets[i]);
+ eprevself(fliptets[1]);
+ }
+
+ // Re-use fliptets[0] and fliptets[1].
+ fliptets[0].ver = 11;
+ fliptets[1].ver = 11;
+ setelemmarker(fliptets[0].tet, 0); // Clear all flags.
+ setelemmarker(fliptets[1].tet, 0);
+ // NOTE: the element attributes and volume constraint remain unchanged.
+ if (checksubsegflag) {
+ // Dealloc the space to subsegments.
+ if (fliptets[0].tet[8] != NULL) {
+ tet2segpool->dealloc((shellface *) fliptets[0].tet[8]);
+ fliptets[0].tet[8] = NULL;
+ }
+ if (fliptets[1].tet[8] != NULL) {
+ tet2segpool->dealloc((shellface *) fliptets[1].tet[8]);
+ fliptets[1].tet[8] = NULL;
+ }
+ }
+ if (checksubfaceflag) {
+ // Dealloc the space to subfaces.
+ if (fliptets[0].tet[9] != NULL) {
+ tet2subpool->dealloc((shellface *) fliptets[0].tet[9]);
+ fliptets[0].tet[9] = NULL;
+ }
+ if (fliptets[1].tet[9] != NULL) {
+ tet2subpool->dealloc((shellface *) fliptets[1].tet[9]);
+ fliptets[1].tet[9] = NULL;
+ }
+ }
+ // Create a new tet.
+ maketetrahedron(&(fliptets[2]));
+ // The new tet have the same attributes from the old tet.
+ for (i = 0; i < numelemattrib; i++) {
+ attrib = elemattribute(fliptets[0].tet, i);
+ setelemattribute(fliptets[2].tet, i, attrib);
+ }
+ if (b->varvolume) {
+ volume = volumebound(fliptets[0].tet);
+ setvolumebound(fliptets[2].tet, volume);
+ }
+
+ if (hullflag > 0) {
+ // Check if d is dummytet.
+ if (pd != dummypoint) {
+ setvertices(fliptets[0], pe, pd, pa, pb); // [e,d,a,b] *
+ setvertices(fliptets[1], pe, pd, pb, pc); // [e,d,b,c] *
+ // Check if c is dummypoint.
+ if (pc != dummypoint) {
+ setvertices(fliptets[2], pe, pd, pc, pa); // [e,d,c,a] *
+ } else {
+ setvertices(fliptets[2], pd, pe, pa, pc); // [d,e,a,c]
+ esymself(fliptets[2]); // [e,d,c,a] *
+ }
+ // The hullsize does not change.
+ } else {
+ // d is dummypoint.
+ setvertices(fliptets[0], pa, pb, pe, pd); // [a,b,e,d]
+ setvertices(fliptets[1], pb, pc, pe, pd); // [b,c,e,d]
+ setvertices(fliptets[2], pc, pa, pe, pd); // [c,a,e,d]
+ // Adjust the faces to [e,d,a,b], [e,d,b,c], [e,d,c,a] *
+ for (i = 0; i < 3; i++) {
+ eprevesymself(fliptets[i]);
+ enextself(fliptets[i]);
+ }
+ // We deleted one hull tet, and created three hull tets.
+ hullsize += 2;
+ }
+ } else {
+ setvertices(fliptets[0], pe, pd, pa, pb); // [e,d,a,b] *
+ setvertices(fliptets[1], pe, pd, pb, pc); // [e,d,b,c] *
+ setvertices(fliptets[2], pe, pd, pc, pa); // [e,d,c,a] *
+ }
+
+ if (fc->remove_ndelaunay_edge) { // calc_tetprism_vol
+ REAL volneg[2], volpos[3], vol_diff;
+ if (pd != dummypoint) {
+ if (pc != dummypoint) {
+ volpos[0] = tetprismvol(pe, pd, pa, pb);
+ volpos[1] = tetprismvol(pe, pd, pb, pc);
+ volpos[2] = tetprismvol(pe, pd, pc, pa);
+ volneg[0] = tetprismvol(pa, pb, pc, pd);
+ volneg[1] = tetprismvol(pb, pa, pc, pe);
+ } else { // pc == dummypoint
+ volpos[0] = tetprismvol(pe, pd, pa, pb);
+ volpos[1] = 0.;
+ volpos[2] = 0.;
+ volneg[0] = 0.;
+ volneg[1] = 0.;
+ }
+ } else { // pd == dummypoint.
+ volpos[0] = 0.;
+ volpos[1] = 0.;
+ volpos[2] = 0.;
+ volneg[0] = 0.;
+ volneg[1] = tetprismvol(pb, pa, pc, pe);
+ }
+ vol_diff = volpos[0] + volpos[1] + volpos[2] - volneg[0] - volneg[1];
+ fc->tetprism_vol_sum += vol_diff; // Update the total sum.
+ }
+
+ // Bond three new tets together.
+ for (i = 0; i < 3; i++) {
+ esym(fliptets[i], newface);
+ bond(newface, fliptets[(i + 1) % 3]);
+ }
+ // Bond to top outer boundary faces (at [a,b,c,d]).
+ for (i = 0; i < 3; i++) {
+ eorgoppo(fliptets[i], newface); // At edges [b,a], [c,b], [a,c].
+ bond(newface, topcastets[i]);
+ }
+ // Bond bottom outer boundary faces (at [b,a,c,e]).
+ for (i = 0; i < 3; i++) {
+ edestoppo(fliptets[i], newface); // At edges [a,b], [b,c], [c,a].
+ bond(newface, botcastets[i]);
+ }
+
+ if (checksubsegflag) {
+ // Bond subsegments if there are.
+ // Each new tet has 5 edges to be checked (except the edge [e,d]).
+ face checkseg;
+ // The middle three: [a,b], [b,c], [c,a].
+ for (i = 0; i < 3; i++) {
+ if (issubseg(topcastets[i])) {
+ tsspivot1(topcastets[i], checkseg);
+ eorgoppo(fliptets[i], newface);
+ tssbond1(newface, checkseg);
+ sstbond1(checkseg, newface);
+ if (fc->chkencflag & 1) {
+ //enqueuesubface(badsubsegs, &checkseg);
+ }
+ }
+ }
+ // The top three: [d,a], [d,b], [d,c]. Two tets per edge.
+ for (i = 0; i < 3; i++) {
+ eprev(topcastets[i], casface);
+ if (issubseg(casface)) {
+ tsspivot1(casface, checkseg);
+ enext(fliptets[i], newface);
+ tssbond1(newface, checkseg);
+ sstbond1(checkseg, newface);
+ esym(fliptets[(i + 2) % 3], newface);
+ eprevself(newface);
+ tssbond1(newface, checkseg);
+ sstbond1(checkseg, newface);
+ if (fc->chkencflag & 1) {
+ //enqueuesubface(badsubsegs, &checkseg);
+ }
+ }
+ }
+ // The bot three: [a,e], [b,e], [c,e]. Two tets per edge.
+ for (i = 0; i < 3; i++) {
+ enext(botcastets[i], casface);
+ if (issubseg(casface)) {
+ tsspivot1(casface, checkseg);
+ eprev(fliptets[i], newface);
+ tssbond1(newface, checkseg);
+ sstbond1(checkseg, newface);
+ esym(fliptets[(i + 2) % 3], newface);
+ enextself(newface);
+ tssbond1(newface, checkseg);
+ sstbond1(checkseg, newface);
+ if (fc->chkencflag & 1) {
+ //enqueuesubface(badsubsegs, &checkseg);
+ }
+ }
+ }
+ } // if (checksubsegflag)
+
+ if (checksubfaceflag) {
+ // Bond 6 subfaces if there are.
+ face checksh;
+ for (i = 0; i < 3; i++) {
+ if (issubface(topcastets[i])) {
+ tspivot(topcastets[i], checksh);
+ eorgoppo(fliptets[i], newface);
+ sesymself(checksh);
+ tsbond(newface, checksh);
+ if (fc->chkencflag & 2) {
+ //enqueuesubface(badsubfacs, &checksh);
+ }
+ }
+ }
+ for (i = 0; i < 3; i++) {
+ if (issubface(botcastets[i])) {
+ tspivot(botcastets[i], checksh);
+ edestoppo(fliptets[i], newface);
+ sesymself(checksh);
+ tsbond(newface, checksh);
+ if (fc->chkencflag & 2) {
+ //enqueuesubface(badsubfacs, &checksh);
+ }
+ }
+ }
+ } // if (checksubfaceflag)
+
+ if (fc->chkencflag & 4) {
+ // Put three new tets into check list.
+ for (i = 0; i < 3; i++) {
+ //enqueuetetrahedron(&(fliptets[i]));
+ }
+ }
+
+ // Update the point-to-tet map.
+ setpoint2tet(pa, (tetrahedron) fliptets[0].tet);
+ setpoint2tet(pb, (tetrahedron) fliptets[0].tet);
+ setpoint2tet(pc, (tetrahedron) fliptets[1].tet);
+ setpoint2tet(pd, (tetrahedron) fliptets[0].tet);
+ setpoint2tet(pe, (tetrahedron) fliptets[0].tet);
+
+ if (hullflag > 0) {
+ if (dummyflag != 0) {
+ // Restore the original position of the points (for flipnm()).
+ if (dummyflag == -1) {
+ // Reverse the edge.
+ for (i = 0; i < 3; i++) {
+ esymself(fliptets[i]);
+ }
+ // Swap the last two new tets.
+ newface = fliptets[1];
+ fliptets[1] = fliptets[2];
+ fliptets[2] = newface;
+ } else {
+ // either a or b were swapped.
+ if (dummyflag == 1) {
+ // a is dummypoint.
+ newface = fliptets[0];
+ fliptets[0] = fliptets[2];
+ fliptets[2] = fliptets[1];
+ fliptets[1] = newface;
+ } else { // dummyflag == 2
+ // b is dummypoint.
+ newface = fliptets[0];
+ fliptets[0] = fliptets[1];
+ fliptets[1] = fliptets[2];
+ fliptets[2] = newface;
+ }
+ }
+ }
+ }
+
+ if (fc->enqflag > 0) {
+ // Queue faces which may be locally non-Delaunay.
+ for (i = 0; i < 3; i++) {
+ eprevesym(fliptets[i], newface);
+ flippush(flipstack, &newface);
+ }
+ if (fc->enqflag > 1) {
+ for (i = 0; i < 3; i++) {
+ enextesym(fliptets[i], newface);
+ flippush(flipstack, &newface);
+ }
+ }
+ }
+
+ recenttet = fliptets[0];
+}
+
+void meshGRegionBoundaryRecovery::flip32(triface* fliptets, int hullflag, flipconstraints *fc)
+{
+ triface topcastets[3], botcastets[3];
+ triface newface, casface;
+ face flipshs[3];
+ face checkseg;
+ point pa, pb, pc, pd, pe;
+ REAL attrib, volume;
+ int dummyflag = 0; // Rangle = {-1, 0, 1, 2}
+ int spivot = -1, scount = 0; // for flip22()
+ int t1ver;
+ int i, j;
+
+ if (hullflag > 0) {
+ // Check if e is 'dummypoint'.
+ if (org(fliptets[0]) == dummypoint) {
+ // Reverse the edge.
+ for (i = 0; i < 3; i++) {
+ esymself(fliptets[i]);
+ }
+ // Swap the last two tets.
+ newface = fliptets[1];
+ fliptets[1] = fliptets[2];
+ fliptets[2] = newface;
+ dummyflag = -1; // e is dummypoint.
+ } else {
+ // Check if a or b is the 'dummypoint'.
+ if (apex(fliptets[0]) == dummypoint) {
+ dummyflag = 1; // a is dummypoint.
+ newface = fliptets[0];
+ fliptets[0] = fliptets[1];
+ fliptets[1] = fliptets[2];
+ fliptets[2] = newface;
+ } else if (apex(fliptets[1]) == dummypoint) {
+ dummyflag = 2; // b is dummypoint.
+ newface = fliptets[0];
+ fliptets[0] = fliptets[2];
+ fliptets[2] = fliptets[1];
+ fliptets[1] = newface;
+ } else {
+ dummyflag = 0; // either c or d may be dummypoint.
+ }
+ }
+ }
+
+ pa = apex(fliptets[0]);
+ pb = apex(fliptets[1]);
+ pc = apex(fliptets[2]);
+ pd = dest(fliptets[0]);
+ pe = org(fliptets[0]);
+
+ flip32count++;
+
+ // Get the outer boundary faces.
+ for (i = 0; i < 3; i++) {
+ eorgoppo(fliptets[i], casface);
+ fsym(casface, topcastets[i]);
+ }
+ for (i = 0; i < 3; i++) {
+ edestoppo(fliptets[i], casface);
+ fsym(casface, botcastets[i]);
+ }
+
+ if (checksubfaceflag) {
+ // Check if there are interior subfaces at the edge [e,d].
+ for (i = 0; i < 3; i++) {
+ tspivot(fliptets[i], flipshs[i]);
+ if (flipshs[i].sh != NULL) {
+ // Found an interior subface.
+ stdissolve(flipshs[i]); // Disconnect the sub-tet bond.
+ scount++;
+ } else {
+ spivot = i;
+ }
+ }
+ }
+
+ // Re-use fliptets[0] and fliptets[1].
+ fliptets[0].ver = 11;
+ fliptets[1].ver = 11;
+ setelemmarker(fliptets[0].tet, 0); // Clear all flags.
+ setelemmarker(fliptets[1].tet, 0);
+ if (checksubsegflag) {
+ // Dealloc the space to subsegments.
+ if (fliptets[0].tet[8] != NULL) {
+ tet2segpool->dealloc((shellface *) fliptets[0].tet[8]);
+ fliptets[0].tet[8] = NULL;
+ }
+ if (fliptets[1].tet[8] != NULL) {
+ tet2segpool->dealloc((shellface *) fliptets[1].tet[8]);
+ fliptets[1].tet[8] = NULL;
+ }
+ }
+ if (checksubfaceflag) {
+ // Dealloc the space to subfaces.
+ if (fliptets[0].tet[9] != NULL) {
+ tet2subpool->dealloc((shellface *) fliptets[0].tet[9]);
+ fliptets[0].tet[9] = NULL;
+ }
+ if (fliptets[1].tet[9] != NULL) {
+ tet2subpool->dealloc((shellface *) fliptets[1].tet[9]);
+ fliptets[1].tet[9] = NULL;
+ }
+ }
+ if (checksubfaceflag) {
+ if (scount > 0) {
+ // The element attributes and volume constraint must be set correctly.
+ // There are two subfaces involved in this flip. The three tets are
+ // separated into two different regions, one may be exterior. The
+ // first region has two tets, and the second region has only one.
+ // The two created tets must be in the same region as the first region.
+ // The element attributes and volume constraint must be set correctly.
+ //assert(spivot != -1);
+ // The tet fliptets[spivot] is in the first region.
+ for (j = 0; j < 2; j++) {
+ for (i = 0; i < numelemattrib; i++) {
+ attrib = elemattribute(fliptets[spivot].tet, i);
+ setelemattribute(fliptets[j].tet, i, attrib);
+ }
+ if (b->varvolume) {
+ volume = volumebound(fliptets[spivot].tet);
+ setvolumebound(fliptets[j].tet, volume);
+ }
+ }
+ }
+ }
+ // Delete an old tet.
+ tetrahedrondealloc(fliptets[2].tet);
+
+ if (hullflag > 0) {
+ // Check if c is dummypointc.
+ if (pc != dummypoint) {
+ // Check if d is dummypoint.
+ if (pd != dummypoint) {
+ // No hull tet is involved.
+ } else {
+ // We deleted three hull tets, and created one hull tet.
+ hullsize -= 2;
+ }
+ setvertices(fliptets[0], pa, pb, pc, pd);
+ setvertices(fliptets[1], pb, pa, pc, pe);
+ } else {
+ // c is dummypoint. The two new tets are hull tets.
+ setvertices(fliptets[0], pb, pa, pd, pc);
+ setvertices(fliptets[1], pa, pb, pe, pc);
+ // Adjust badc -> abcd.
+ esymself(fliptets[0]);
+ // Adjust abec -> bace.
+ esymself(fliptets[1]);
+ // The hullsize does not change.
+ }
+ } else {
+ setvertices(fliptets[0], pa, pb, pc, pd);
+ setvertices(fliptets[1], pb, pa, pc, pe);
+ }
+
+ if (fc->remove_ndelaunay_edge) { // calc_tetprism_vol
+ REAL volneg[3], volpos[2], vol_diff;
+ if (pc != dummypoint) {
+ if (pd != dummypoint) {
+ volneg[0] = tetprismvol(pe, pd, pa, pb);
+ volneg[1] = tetprismvol(pe, pd, pb, pc);
+ volneg[2] = tetprismvol(pe, pd, pc, pa);
+ volpos[0] = tetprismvol(pa, pb, pc, pd);
+ volpos[1] = tetprismvol(pb, pa, pc, pe);
+ } else { // pd == dummypoint
+ volneg[0] = 0.;
+ volneg[1] = 0.;
+ volneg[2] = 0.;
+ volpos[0] = 0.;
+ volpos[1] = tetprismvol(pb, pa, pc, pe);
+ }
+ } else { // pc == dummypoint.
+ volneg[0] = tetprismvol(pe, pd, pa, pb);
+ volneg[1] = 0.;
+ volneg[2] = 0.;
+ volpos[0] = 0.;
+ volpos[1] = 0.;
+ }
+ vol_diff = volpos[0] + volpos[1] - volneg[0] - volneg[1] - volneg[2];
+ fc->tetprism_vol_sum += vol_diff; // Update the total sum.
+ }
+
+ // Bond abcd <==> bace.
+ bond(fliptets[0], fliptets[1]);
+ // Bond new faces to top outer boundary faces (at abcd).
+ for (i = 0; i < 3; i++) {
+ esym(fliptets[0], newface);
+ bond(newface, topcastets[i]);
+ enextself(fliptets[0]);
+ }
+ // Bond new faces to bottom outer boundary faces (at bace).
+ for (i = 0; i < 3; i++) {
+ esym(fliptets[1], newface);
+ bond(newface, botcastets[i]);
+ eprevself(fliptets[1]);
+ }
+
+ if (checksubsegflag) {
+ // Bond 9 segments to new (flipped) tets.
+ for (i = 0; i < 3; i++) { // edges a->b, b->c, c->a.
+ if (issubseg(topcastets[i])) {
+ tsspivot1(topcastets[i], checkseg);
+ tssbond1(fliptets[0], checkseg);
+ sstbond1(checkseg, fliptets[0]);
+ tssbond1(fliptets[1], checkseg);
+ sstbond1(checkseg, fliptets[1]);
+ if (fc->chkencflag & 1) {
+ //enqueuesubface(badsubsegs, &checkseg);
+ }
+ }
+ enextself(fliptets[0]);
+ eprevself(fliptets[1]);
+ }
+ // The three top edges.
+ for (i = 0; i < 3; i++) { // edges b->d, c->d, a->d.
+ esym(fliptets[0], newface);
+ eprevself(newface);
+ enext(topcastets[i], casface);
+ if (issubseg(casface)) {
+ tsspivot1(casface, checkseg);
+ tssbond1(newface, checkseg);
+ sstbond1(checkseg, newface);
+ if (fc->chkencflag & 1) {
+ //enqueuesubface(badsubsegs, &checkseg);
+ }
+ }
+ enextself(fliptets[0]);
+ }
+ // The three bot edges.
+ for (i = 0; i < 3; i++) { // edges b<-e, c<-e, a<-e.
+ esym(fliptets[1], newface);
+ enextself(newface);
+ eprev(botcastets[i], casface);
+ if (issubseg(casface)) {
+ tsspivot1(casface, checkseg);
+ tssbond1(newface, checkseg);
+ sstbond1(checkseg, newface);
+ if (fc->chkencflag & 1) {
+ //enqueuesubface(badsubsegs, &checkseg);
+ }
+ }
+ eprevself(fliptets[1]);
+ }
+ } // if (checksubsegflag)
+
+ if (checksubfaceflag) {
+ face checksh;
+ // Bond the top three casing subfaces.
+ for (i = 0; i < 3; i++) { // At edges [b,a], [c,b], [a,c]
+ if (issubface(topcastets[i])) {
+ tspivot(topcastets[i], checksh);
+ esym(fliptets[0], newface);
+ sesymself(checksh);
+ tsbond(newface, checksh);
+ if (fc->chkencflag & 2) {
+ //enqueuesubface(badsubfacs, &checksh);
+ }
+ }
+ enextself(fliptets[0]);
+ }
+ // Bond the bottom three casing subfaces.
+ for (i = 0; i < 3; i++) { // At edges [a,b], [b,c], [c,a]
+ if (issubface(botcastets[i])) {
+ tspivot(botcastets[i], checksh);
+ esym(fliptets[1], newface);
+ sesymself(checksh);
+ tsbond(newface, checksh);
+ if (fc->chkencflag & 2) {
+ //enqueuesubface(badsubfacs, &checksh);
+ }
+ }
+ eprevself(fliptets[1]);
+ }
+
+ if (scount > 0) {
+ face flipfaces[2];
+ // Perform a 2-to-2 flip in subfaces.
+ flipfaces[0] = flipshs[(spivot + 1) % 3];
+ flipfaces[1] = flipshs[(spivot + 2) % 3];
+ sesymself(flipfaces[1]);
+ flip22(flipfaces, 0, fc->chkencflag);
+ // Connect the flipped subfaces to flipped tets.
+ // First go to the corresponding flipping edge.
+ // Re-use top- and botcastets[0].
+ topcastets[0] = fliptets[0];
+ botcastets[0] = fliptets[1];
+ for (i = 0; i < ((spivot + 1) % 3); i++) {
+ enextself(topcastets[0]);
+ eprevself(botcastets[0]);
+ }
+ // Connect the top subface to the top tets.
+ esymself(topcastets[0]);
+ sesymself(flipfaces[0]);
+ // Check if there already exists a subface.
+ tspivot(topcastets[0], checksh);
+ if (checksh.sh == NULL) {
+ tsbond(topcastets[0], flipfaces[0]);
+ fsymself(topcastets[0]);
+ sesymself(flipfaces[0]);
+ tsbond(topcastets[0], flipfaces[0]);
+ } else {
+ // An invalid 2-to-2 flip. Report a bug.
+ terminateBoundaryRecovery(this, 2);
+ }
+ // Connect the bot subface to the bottom tets.
+ esymself(botcastets[0]);
+ sesymself(flipfaces[1]);
+ // Check if there already exists a subface.
+ tspivot(botcastets[0], checksh);
+ if (checksh.sh == NULL) {
+ tsbond(botcastets[0], flipfaces[1]);
+ fsymself(botcastets[0]);
+ sesymself(flipfaces[1]);
+ tsbond(botcastets[0], flipfaces[1]);
+ } else {
+ // An invalid 2-to-2 flip. Report a bug.
+ terminateBoundaryRecovery(this, 2);
+ }
+ } // if (scount > 0)
+ } // if (checksubfaceflag)
+
+ if (fc->chkencflag & 4) {
+ // Put two new tets into check list.
+ for (i = 0; i < 2; i++) {
+ //enqueuetetrahedron(&(fliptets[i]));
+ }
+ }
+
+ setpoint2tet(pa, (tetrahedron) fliptets[0].tet);
+ setpoint2tet(pb, (tetrahedron) fliptets[0].tet);
+ setpoint2tet(pc, (tetrahedron) fliptets[0].tet);
+ setpoint2tet(pd, (tetrahedron) fliptets[0].tet);
+ setpoint2tet(pe, (tetrahedron) fliptets[1].tet);
+
+ if (hullflag > 0) {
+ if (dummyflag != 0) {
+ // Restore the original position of the points (for flipnm()).
+ if (dummyflag == -1) {
+ // e were dummypoint. Swap the two new tets.
+ newface = fliptets[0];
+ fliptets[0] = fliptets[1];
+ fliptets[1] = newface;
+ } else {
+ // a or b was dummypoint.
+ if (dummyflag == 1) {
+ eprevself(fliptets[0]);
+ enextself(fliptets[1]);
+ } else { // dummyflag == 2
+ enextself(fliptets[0]);
+ eprevself(fliptets[1]);
+ }
+ }
+ }
+ }
+
+ if (fc->enqflag > 0) {
+ // Queue faces which may be locally non-Delaunay.
+ // pa = org(fliptets[0]); // 'a' may be a new vertex.
+ enextesym(fliptets[0], newface);
+ flippush(flipstack, &newface);
+ eprevesym(fliptets[1], newface);
+ flippush(flipstack, &newface);
+ if (fc->enqflag > 1) {
+ //pb = dest(fliptets[0]);
+ eprevesym(fliptets[0], newface);
+ flippush(flipstack, &newface);
+ enextesym(fliptets[1], newface);
+ flippush(flipstack, &newface);
+ //pc = apex(fliptets[0]);
+ esym(fliptets[0], newface);
+ flippush(flipstack, &newface);
+ esym(fliptets[1], newface);
+ flippush(flipstack, &newface);
+ }
+ }
+
+ recenttet = fliptets[0];
+}
+
+void meshGRegionBoundaryRecovery::flip41(triface* fliptets, int hullflag, flipconstraints *fc)
+{
+ triface topcastets[3], botcastet;
+ triface newface, neightet;
+ face flipshs[4];
+ point pa, pb, pc, pd, pp;
+ int dummyflag = 0; // in {0, 1, 2, 3, 4}
+ int spivot = -1, scount = 0;
+ int t1ver;
+ int i;
+
+ pa = org(fliptets[3]);
+ pb = dest(fliptets[3]);
+ pc = apex(fliptets[3]);
+ pd = dest(fliptets[0]);
+ pp = org(fliptets[0]); // The removing vertex.
+
+ flip41count++;
+
+ // Get the outer boundary faces.
+ for (i = 0; i < 3; i++) {
+ enext(fliptets[i], topcastets[i]);
+ fnextself(topcastets[i]); // [d,a,b,#], [d,b,c,#], [d,c,a,#]
+ enextself(topcastets[i]); // [a,b,d,#], [b,c,d,#], [c,a,d,#]
+ }
+ fsym(fliptets[3], botcastet); // [b,a,c,#]
+
+ if (checksubfaceflag) {
+ // Check if there are three subfaces at 'p'.
+ // Re-use 'newface'.
+ for (i = 0; i < 3; i++) {
+ fnext(fliptets[3], newface); // [a,b,p,d],[b,c,p,d],[c,a,p,d].
+ tspivot(newface, flipshs[i]);
+ if (flipshs[i].sh != NULL) {
+ spivot = i; // Remember this subface.
+ scount++;
+ }
+ enextself(fliptets[3]);
+ }
+ if (scount > 0) {
+ // There are three subfaces connecting at p.
+ if (scount < 3) {
+ // The new subface is one of {[a,b,d], [b,c,d], [c,a,d]}.
+ assert(scount == 1); // spivot >= 0
+ // Go to the tet containing the three subfaces.
+ fsym(topcastets[spivot], neightet);
+ // Get the three subfaces connecting at p.
+ for (i = 0; i < 3; i++) {
+ esym(neightet, newface);
+ tspivot(newface, flipshs[i]);
+ assert(flipshs[i].sh != NULL);
+ eprevself(neightet);
+ }
+ } else {
+ spivot = 3; // The new subface is [a,b,c].
+ }
+ }
+ } // if (checksubfaceflag)
+
+
+ // Re-use fliptets[0] for [a,b,c,d].
+ fliptets[0].ver = 11;
+ setelemmarker(fliptets[0].tet, 0); // Clean all flags.
+ // NOTE: the element attributes and volume constraint remain unchanged.
+ if (checksubsegflag) {
+ // Dealloc the space to subsegments.
+ if (fliptets[0].tet[8] != NULL) {
+ tet2segpool->dealloc((shellface *) fliptets[0].tet[8]);
+ fliptets[0].tet[8] = NULL;
+ }
+ }
+ if (checksubfaceflag) {
+ // Dealloc the space to subfaces.
+ if (fliptets[0].tet[9] != NULL) {
+ tet2subpool->dealloc((shellface *) fliptets[0].tet[9]);
+ fliptets[0].tet[9] = NULL;
+ }
+ }
+ // Delete the other three tets.
+ for (i = 1; i < 4; i++) {
+ tetrahedrondealloc(fliptets[i].tet);
+ }
+
+ if (pp != dummypoint) {
+ // Mark the point pp as unused.
+ setpointtype(pp, UNUSEDVERTEX);
+ unuverts++;
+ }
+
+ // Create the new tet [a,b,c,d].
+ if (hullflag > 0) {
+ // One of the five vertices may be 'dummypoint'.
+ if (pa == dummypoint) {
+ // pa is dummypoint.
+ setvertices(fliptets[0], pc, pb, pd, pa);
+ esymself(fliptets[0]); // [b,c,a,d]
+ eprevself(fliptets[0]); // [a,b,c,d]
+ dummyflag = 1;
+ } else if (pb == dummypoint) {
+ setvertices(fliptets[0], pa, pc, pd, pb);
+ esymself(fliptets[0]); // [c,a,b,d]
+ enextself(fliptets[0]); // [a,b,c,d]
+ dummyflag = 2;
+ } else if (pc == dummypoint) {
+ setvertices(fliptets[0], pb, pa, pd, pc);
+ esymself(fliptets[0]); // [a,b,c,d]
+ dummyflag = 3;
+ } else if (pd == dummypoint) {
+ setvertices(fliptets[0], pa, pb, pc, pd);
+ dummyflag = 4;
+ } else {
+ setvertices(fliptets[0], pa, pb, pc, pd);
+ if (pp == dummypoint) {
+ dummyflag = -1;
+ } else {
+ dummyflag = 0;
+ }
+ }
+ if (dummyflag > 0) {
+ // We deleted 3 hull tets, and create 1 hull tet.
+ hullsize -= 2;
+ } else if (dummyflag < 0) {
+ // We deleted 4 hull tets.
+ hullsize -= 4;
+ // meshedges does not change.
+ }
+ } else {
+ setvertices(fliptets[0], pa, pb, pc, pd);
+ }
+
+ if (fc->remove_ndelaunay_edge) { // calc_tetprism_vol
+ REAL volneg[4], volpos[1], vol_diff;
+ if (dummyflag > 0) {
+ if (pa == dummypoint) {
+ volneg[0] = 0.;
+ volneg[1] = tetprismvol(pp, pd, pb, pc);
+ volneg[2] = 0.;
+ volneg[3] = 0.;
+ } else if (pb == dummypoint) {
+ volneg[0] = 0.;
+ volneg[1] = 0.;
+ volneg[2] = tetprismvol(pp, pd, pc, pa);
+ volneg[3] = 0.;
+ } else if (pc == dummypoint) {
+ volneg[0] = tetprismvol(pp, pd, pa, pb);
+ volneg[1] = 0.;
+ volneg[2] = 0.;
+ volneg[3] = 0.;
+ } else { // pd == dummypoint
+ volneg[0] = 0.;
+ volneg[1] = 0.;
+ volneg[2] = 0.;
+ volneg[3] = tetprismvol(pa, pb, pc, pp);
+ }
+ volpos[0] = 0.;
+ } else if (dummyflag < 0) {
+ volneg[0] = 0.;
+ volneg[1] = 0.;
+ volneg[2] = 0.;
+ volneg[3] = 0.;
+ volpos[0] = tetprismvol(pa, pb, pc, pd);
+ } else {
+ volneg[0] = tetprismvol(pp, pd, pa, pb);
+ volneg[1] = tetprismvol(pp, pd, pb, pc);
+ volneg[2] = tetprismvol(pp, pd, pc, pa);
+ volneg[3] = tetprismvol(pa, pb, pc, pp);
+ volpos[0] = tetprismvol(pa, pb, pc, pd);
+ }
+ vol_diff = volpos[0] - volneg[0] - volneg[1] - volneg[2] - volneg[3];
+ fc->tetprism_vol_sum += vol_diff; // Update the total sum.
+ }
+
+ // Bond the new tet to adjacent tets.
+ for (i = 0; i < 3; i++) {
+ esym(fliptets[0], newface); // At faces [b,a,d], [c,b,d], [a,c,d].
+ bond(newface, topcastets[i]);
+ enextself(fliptets[0]);
+ }
+ bond(fliptets[0], botcastet);
+
+ if (checksubsegflag) {
+ face checkseg;
+ // Bond 6 segments (at edges of [a,b,c,d]) if there there are.
+ for (i = 0; i < 3; i++) {
+ eprev(topcastets[i], newface); // At edges [d,a],[d,b],[d,c].
+ if (issubseg(newface)) {
+ tsspivot1(newface, checkseg);
+ esym(fliptets[0], newface);
+ enextself(newface); // At edges [a,d], [b,d], [c,d].
+ tssbond1(newface, checkseg);
+ sstbond1(checkseg, newface);
+ if (fc->chkencflag & 1) {
+ //enqueuesubface(badsubsegs, &checkseg);
+ }
+ }
+ enextself(fliptets[0]);
+ }
+ for (i = 0; i < 3; i++) {
+ if (issubseg(topcastets[i])) {
+ tsspivot1(topcastets[i], checkseg); // At edges [a,b],[b,c],[c,a].
+ tssbond1(fliptets[0], checkseg);
+ sstbond1(checkseg, fliptets[0]);
+ if (fc->chkencflag & 1) {
+ //enqueuesubface(badsubsegs, &checkseg);
+ }
+ }
+ enextself(fliptets[0]);
+ }
+ }
+
+ if (checksubfaceflag) {
+ face checksh;
+ // Bond 4 subfaces (at faces of [a,b,c,d]) if there are.
+ for (i = 0; i < 3; i++) {
+ if (issubface(topcastets[i])) {
+ tspivot(topcastets[i], checksh); // At faces [a,b,d],[b,c,d],[c,a,d]
+ esym(fliptets[0], newface); // At faces [b,a,d],[c,b,d],[a,c,d]
+ sesymself(checksh);
+ tsbond(newface, checksh);
+ if (fc->chkencflag & 2) {
+ //enqueuesubface(badsubfacs, &checksh);
+ }
+ }
+ enextself(fliptets[0]);
+ }
+ if (issubface(botcastet)) {
+ tspivot(botcastet, checksh); // At face [b,a,c]
+ sesymself(checksh);
+ tsbond(fliptets[0], checksh);
+ if (fc->chkencflag & 2) {
+ //enqueuesubface(badsubfacs, &checksh);
+ }
+ }
+
+ if (spivot >= 0) {
+ // Perform a 3-to-1 flip in surface triangulation.
+ // Depending on the value of 'spivot', the three subfaces are:
+ // - 0: [a,b,p], [b,d,p], [d,a,p]
+ // - 1: [b,c,p], [c,d,p], [d,b,p]
+ // - 2: [c,a,p], [a,d,p], [d,c,p]
+ // - 3: [a,b,p], [b,c,p], [c,a,p]
+ // Adjust the three subfaces such that their origins are p, i.e.,
+ // - 3: [p,a,b], [p,b,c], [p,c,a]. (Required by the flip31()).
+ for (i = 0; i < 3; i++) {
+ senext2self(flipshs[i]);
+ }
+ flip31(flipshs, 0);
+ // Delete the three old subfaces.
+ for (i = 0; i < 3; i++) {
+ shellfacedealloc(subfaces, flipshs[i].sh);
+ }
+ if (spivot < 3) {
+ // // Bond the new subface to the new tet [a,b,c,d].
+ tsbond(topcastets[spivot], flipshs[3]);
+ fsym(topcastets[spivot], newface);
+ sesym(flipshs[3], checksh);
+ tsbond(newface, checksh);
+ } else {
+ // Bound the new subface [a,b,c] to the new tet [a,b,c,d].
+ tsbond(fliptets[0], flipshs[3]);
+ fsym(fliptets[0], newface);
+ sesym(flipshs[3], checksh);
+ tsbond(newface, checksh);
+ }
+ } // if (spivot > 0)
+ } // if (checksubfaceflag)
+
+ if (fc->chkencflag & 4) {
+ //enqueuetetrahedron(&(fliptets[0]));
+ }
+
+ // Update the point-to-tet map.
+ setpoint2tet(pa, (tetrahedron) fliptets[0].tet);
+ setpoint2tet(pb, (tetrahedron) fliptets[0].tet);
+ setpoint2tet(pc, (tetrahedron) fliptets[0].tet);
+ setpoint2tet(pd, (tetrahedron) fliptets[0].tet);
+
+ if (fc->enqflag > 0) {
+ // Queue faces which may be locally non-Delaunay.
+ flippush(flipstack, &(fliptets[0])); // [a,b,c] (opposite to new point).
+ if (fc->enqflag > 1) {
+ for (i = 0; i < 3; i++) {
+ esym(fliptets[0], newface);
+ flippush(flipstack, &newface);
+ enextself(fliptets[0]);
+ }
+ }
+ }
+
+ recenttet = fliptets[0];
+}
+
+int meshGRegionBoundaryRecovery::flipnm(triface* abtets, int n, int level, int abedgepivot,
+ flipconstraints* fc)
+{
+ triface fliptets[3], spintet, flipedge;
+ triface *tmpabtets, *parytet;
+ point pa, pb, pc, pd, pe, pf;
+ REAL ori;
+ int hullflag, hulledgeflag;
+ int reducflag, rejflag;
+ int reflexlinkedgecount;
+ int edgepivot;
+ int n1, nn;
+ int t1ver;
+ int i, j;
+
+ pa = org(abtets[0]);
+ pb = dest(abtets[0]);
+
+ if (n > 3) {
+ // Try to reduce the size of the Star(ab) by flipping a face in it.
+ reflexlinkedgecount = 0;
+
+ for (i = 0; i < n; i++) {
+ // Let the face of 'abtets[i]' be [a,b,c].
+ if (checksubfaceflag) {
+ if (issubface(abtets[i])) {
+ continue; // Skip a subface.
+ }
+ }
+ // Do not flip this face if it is involved in two Stars.
+ if ((elemcounter(abtets[i]) > 1) ||
+ (elemcounter(abtets[(i - 1 + n) % n]) > 1)) {
+ continue;
+ }
+
+ pc = apex(abtets[i]);
+ pd = apex(abtets[(i + 1) % n]);
+ pe = apex(abtets[(i - 1 + n) % n]);
+ if ((pd == dummypoint) || (pe == dummypoint)) {
+ continue; // [a,b,c] is a hull face.
+ }
+
+
+ // Decide whether [a,b,c] is flippable or not.
+ reducflag = 0;
+
+ hullflag = (pc == dummypoint); // pc may be dummypoint.
+ hulledgeflag = 0;
+ if (hullflag == 0) {
+ ori = orient3d(pb, pc, pd, pe); // Is [b,c] locally convex?
+ if (ori > 0) {
+ ori = orient3d(pc, pa, pd, pe); // Is [c,a] locally convex?
+ if (ori > 0) {
+ // Test if [a,b] is locally convex OR flat.
+ ori = orient3d(pa, pb, pd, pe);
+ if (ori > 0) {
+ // Found a 2-to-3 flip: [a,b,c] => [e,d]
+ reducflag = 1;
+ } else if (ori == 0) {
+ // [a,b] is flat.
+ if (n == 4) {
+ // The "flat" tet can be removed immediately by a 3-to-2 flip.
+ reducflag = 1;
+ // Check if [e,d] is a hull edge.
+ pf = apex(abtets[(i + 2) % n]);
+ hulledgeflag = (pf == dummypoint);
+ }
+ }
+ }
+ }
+ if (!reducflag) {
+ reflexlinkedgecount++;
+ }
+ } else {
+ // 'c' is dummypoint.
+ if (n == 4) {
+ // Let the vertex opposite to 'c' is 'f'.
+ // A 4-to-4 flip is possible if the two tets [d,e,f,a] and [e,d,f,b]
+ // are valid tets.
+ // Note: When the mesh is not convex, it is possible that [a,b] is
+ // locally non-convex (at hull faces [a,b,e] and [b,a,d]).
+ // In this case, an edge flip [a,b] to [e,d] is still possible.
+ pf = apex(abtets[(i + 2) % n]);
+ assert(pf != dummypoint);
+ ori = orient3d(pd, pe, pf, pa);
+ if (ori < 0) {
+ ori = orient3d(pe, pd, pf, pb);
+ if (ori < 0) {
+ // Found a 4-to-4 flip: [a,b] => [e,d]
+ reducflag = 1;
+ ori = 0; // Signal as a 4-to-4 flip (like a co-planar case).
+ hulledgeflag = 1; // [e,d] is a hull edge.
+ }
+ }
+ }
+ } // if (hullflag)
+
+ if (reducflag) {
+ if (nonconvex && hulledgeflag) {
+ // We will create a hull edge [e,d]. Make sure it does not exist.
+ if (getedge(pe, pd, &spintet)) {
+ // The 2-to-3 flip is not a topological valid flip.
+ reducflag = 0;
+ }
+ }
+ }
+
+ if (reducflag) {
+ // [a,b,c] could be removed by a 2-to-3 flip.
+ rejflag = 0;
+ if (fc->checkflipeligibility) {
+ // Check if the flip can be performed.
+ rejflag = checkflipeligibility(1, pa, pb, pc, pd, pe, level,
+ abedgepivot, fc);
+ }
+ if (!rejflag) {
+ // Do flip: [a,b,c] => [e,d].
+ fliptets[0] = abtets[i];
+ fsym(fliptets[0], fliptets[1]); // abtets[i-1].
+ flip23(fliptets, hullflag, fc);
+
+ // Shrink the array 'abtets', maintain the original order.
+ // Two tets 'abtets[i-1] ([a,b,e,c])' and 'abtets[i] ([a,b,c,d])'
+ // are flipped, i.e., they do not in Star(ab) anymore.
+ // 'fliptets[0]' ([e,d,a,b]) is in Star(ab), it is saved in
+ // 'abtets[i-1]' (adjust it to be [a,b,e,d]), see below:
+ //
+ // before after
+ // [0] |___________| [0] |___________|
+ // ... |___________| ... |___________|
+ // [i-1] |_[a,b,e,c]_| [i-1] |_[a,b,e,d]_|
+ // [i] |_[a,b,c,d]_| --> [i] |_[a,b,d,#]_|
+ // [i+1] |_[a,b,d,#]_| [i+1] |_[a,b,#,*]_|
+ // ... |___________| ... |___________|
+ // [n-2] |___________| [n-2] |___________|
+ // [n-1] |___________| [n-1] |_[i]_2-t-3_|
+ //
+ edestoppoself(fliptets[0]); // [a,b,e,d]
+ // Increase the counter of this new tet (it is in Star(ab)).
+ increaseelemcounter(fliptets[0]);
+ abtets[(i - 1 + n) % n] = fliptets[0];
+ for (j = i; j < n - 1; j++) {
+ abtets[j] = abtets[j + 1]; // Upshift
+ }
+ // The last entry 'abtets[n-1]' is empty. It is used in two ways:
+ // (i) it remembers the vertex 'c' (in 'abtets[n-1].tet'), and
+ // (ii) it remembers the position [i] where this flip took place.
+ // These informations let us to either undo this flip or recover
+ // the original edge link (for collecting new created tets).
+ //abtets[n - 1] = fliptets[1]; // [e,d,b,c] is remembered.
+ abtets[n - 1].tet = (tetrahedron *) pc;
+ abtets[n - 1].ver = 0; // Clear it.
+ // 'abtets[n - 1].ver' is in range [0,11] -- only uses 4 bits.
+ // Use the 5th bit in 'abtets[n - 1].ver' to signal a 2-to-3 flip.
+ abtets[n - 1].ver |= (1 << 4);
+ // The poisition [i] of this flip is saved above the 7th bit.
+ abtets[n - 1].ver |= (i << 6);
+
+ if (fc->collectnewtets) {
+ // Push the two new tets [e,d,b,c] and [e,d,c,a] into a stack.
+ // Re-use the global array 'cavetetlist'.
+ for (j = 1; j < 3; j++) {
+ cavetetlist->newindex((void **) &parytet);
+ *parytet = fliptets[j]; // fliptets[1], fliptets[2].
+ }
+ }
+
+ // Star(ab) is reduced. Try to flip the edge [a,b].
+ nn = flipnm(abtets, n - 1, level, abedgepivot, fc);
+
+ if (nn == 2) {
+ // The edge has been flipped.
+ return nn;
+ } else { // if (nn > 2)
+ // The edge is not flipped.
+ if (fc->unflip || (ori == 0)) {
+ // Undo the previous 2-to-3 flip, i.e., do a 3-to-2 flip to
+ // transform [e,d] => [a,b,c].
+ // 'ori == 0' means that the previous flip created a degenerated
+ // tet. It must be removed.
+ // Remember that 'abtets[i-1]' is [a,b,e,d]. We can use it to
+ // find another two tets [e,d,b,c] and [e,d,c,a].
+ fliptets[0] = abtets[(i-1 + (n-1)) % (n-1)]; // [a,b,e,d]
+ edestoppoself(fliptets[0]); // [e,d,a,b]
+ fnext(fliptets[0], fliptets[1]); // [1] is [e,d,b,c]
+ fnext(fliptets[1], fliptets[2]); // [2] is [e,d,c,a]
+ assert(apex(fliptets[0]) == oppo(fliptets[2])); // SELF_CHECK
+ // Restore the two original tets in Star(ab).
+ flip32(fliptets, hullflag, fc);
+ // Marktest the two restored tets in Star(ab).
+ for (j = 0; j < 2; j++) {
+ increaseelemcounter(fliptets[j]);
+ }
+ // Expand the array 'abtets', maintain the original order.
+ for (j = n - 2; j>= i; j--) {
+ abtets[j + 1] = abtets[j]; // Downshift
+ }
+ // Insert the two new tets 'fliptets[0]' [a,b,c,d] and
+ // 'fliptets[1]' [b,a,c,e] into the (i-1)-th and i-th entries,
+ // respectively.
+ esym(fliptets[1], abtets[(i - 1 + n) % n]); // [a,b,e,c]
+ abtets[i] = fliptets[0]; // [a,b,c,d]
+ nn++;
+ if (fc->collectnewtets) {
+ // Pop two (flipped) tets from the stack.
+ cavetetlist->objects -= 2;
+ }
+ } // if (unflip || (ori == 0))
+ } // if (nn > 2)
+
+ if (!fc->unflip) {
+ // The flips are not reversed. The current Star(ab) can not be
+ // further reduced. Return its current size (# of tets).
+ return nn;
+ }
+ // unflip is set.
+ // Continue the search for flips.
+ }
+ } // if (reducflag)
+ } // i
+
+ // The Star(ab) is not reduced.
+ if (reflexlinkedgecount > 0) {
+ // There are reflex edges in the Link(ab).
+ if (((b->fliplinklevel < 0) && (level < autofliplinklevel)) ||
+ ((b->fliplinklevel >= 0) && (level < b->fliplinklevel))) {
+ // Try to reduce the Star(ab) by flipping a reflex edge in Link(ab).
+ for (i = 0; i < n; i++) {
+ // Do not flip this face [a,b,c] if there are two Stars involved.
+ if ((elemcounter(abtets[i]) > 1) ||
+ (elemcounter(abtets[(i - 1 + n) % n]) > 1)) {
+ continue;
+ }
+ pc = apex(abtets[i]);
+ if (pc == dummypoint) {
+ continue; // [a,b] is a hull edge.
+ }
+ pd = apex(abtets[(i + 1) % n]);
+ pe = apex(abtets[(i - 1 + n) % n]);
+ if ((pd == dummypoint) || (pe == dummypoint)) {
+ continue; // [a,b,c] is a hull face.
+ }
+
+
+ edgepivot = 0; // No edge is selected yet.
+
+ // Test if [b,c] is locally convex or flat.
+ ori = orient3d(pb, pc, pd, pe);
+ if (ori <= 0) {
+ // Select the edge [c,b].
+ enext(abtets[i], flipedge); // [b,c,a,d]
+ edgepivot = 1;
+ }
+ if (!edgepivot) {
+ // Test if [c,a] is locally convex or flat.
+ ori = orient3d(pc, pa, pd, pe);
+ if (ori <= 0) {
+ // Select the edge [a,c].
+ eprev(abtets[i], flipedge); // [c,a,b,d].
+ edgepivot = 2;
+ }
+ }
+
+ if (!edgepivot) continue;
+
+ // An edge is selected.
+ if (checksubsegflag) {
+ // Do not flip it if it is a segment.
+ if (issubseg(flipedge)) {
+ if (fc->collectencsegflag) {
+ face checkseg, *paryseg;
+ tsspivot1(flipedge, checkseg);
+ if (!sinfected(checkseg)) {
+ // Queue this segment in list.
+ sinfect(checkseg);
+ caveencseglist->newindex((void **) &paryseg);
+ *paryseg = checkseg;
+ }
+ }
+ continue;
+ }
+ }
+
+ // Try to flip the selected edge ([c,b] or [a,c]).
+ esymself(flipedge);
+ // Count the number of tets at the edge.
+ n1 = 0;
+ j = 0; // Sum of the star counters.
+ spintet = flipedge;
+ while (1) {
+ n1++;
+ j += (elemcounter(spintet));
+ fnextself(spintet);
+ if (spintet.tet == flipedge.tet) break;
+ }
+ assert(n1 >= 3);
+ if (j > 2) {
+ // The Star(flipedge) overlaps other Stars.
+ continue; // Do not flip this edge.
+ }
+ // Only two tets can be marktested.
+ assert(j == 2);
+
+ if ((b->flipstarsize > 0) && (n1 > b->flipstarsize)) {
+ // The star size exceeds the given limit.
+ continue; // Do not flip it.
+ }
+
+ // Allocate spaces for Star(flipedge).
+ tmpabtets = new triface[n1];
+ // Form the Star(flipedge).
+ j = 0;
+ spintet = flipedge;
+ while (1) {
+ tmpabtets[j] = spintet;
+ // Increase the star counter of this tet.
+ increaseelemcounter(tmpabtets[j]);
+ j++;
+ fnextself(spintet);
+ if (spintet.tet == flipedge.tet) break;
+ }
+
+ // Try to flip the selected edge away.
+ nn = flipnm(tmpabtets, n1, level + 1, edgepivot, fc);
+
+ if (nn == 2) {
+ // The edge is flipped. Star(ab) is reduced.
+ // Shrink the array 'abtets', maintain the original order.
+ if (edgepivot == 1) {
+ // 'tmpabtets[0]' is [d,a,e,b] => contains [a,b].
+ spintet = tmpabtets[0]; // [d,a,e,b]
+ enextself(spintet);
+ esymself(spintet);
+ enextself(spintet); // [a,b,e,d]
+ } else {
+ // 'tmpabtets[1]' is [b,d,e,a] => contains [a,b].
+ spintet = tmpabtets[1]; // [b,d,e,a]
+ eprevself(spintet);
+ esymself(spintet);
+ eprevself(spintet); // [a,b,e,d]
+ } // edgepivot == 2
+ assert(elemcounter(spintet) == 0); // It's a new tet.
+ increaseelemcounter(spintet); // It is in Star(ab).
+ // Put the new tet at [i-1]-th entry.
+ abtets[(i - 1 + n) % n] = spintet;
+ for (j = i; j < n - 1; j++) {
+ abtets[j] = abtets[j + 1]; // Upshift
+ }
+ // Remember the flips in the last entry of the array 'abtets'.
+ // They can be used to recover the flipped edge.
+ abtets[n - 1].tet = (tetrahedron *) tmpabtets; // The star(fedge).
+ abtets[n - 1].ver = 0; // Clear it.
+ // Use the 1st and 2nd bit to save 'edgepivot' (1 or 2).
+ abtets[n - 1].ver |= edgepivot;
+ // Use the 6th bit to signal this n1-to-m1 flip.
+ abtets[n - 1].ver |= (1 << 5);
+ // The poisition [i] of this flip is saved from 7th to 19th bit.
+ abtets[n - 1].ver |= (i << 6);
+ // The size of the star 'n1' is saved from 20th bit.
+ abtets[n - 1].ver |= (n1 << 19);
+
+ // Remember the flipped link vertex 'c'. It can be used to recover
+ // the original edge link of [a,b], and to collect new tets.
+ tmpabtets[0].tet = (tetrahedron *) pc;
+ tmpabtets[0].ver = (1 << 5); // Flag it as a vertex handle.
+
+ // Continue to flip the edge [a,b].
+ nn = flipnm(abtets, n - 1, level, abedgepivot, fc);
+
+ if (nn == 2) {
+ // The edge has been flipped.
+ return nn;
+ } else { // if (nn > 2) {
+ // The edge is not flipped.
+ if (fc->unflip) {
+ // Recover the flipped edge ([c,b] or [a,c]).
+ assert(nn == (n - 1));
+ // The sequence of flips are saved in 'tmpabtets'.
+ // abtets[(i-1) % (n-1)] is [a,b,e,d], i.e., the tet created by
+ // the flipping of edge [c,b] or [a,c].It must still exist in
+ // Star(ab). It is the start tet to recover the flipped edge.
+ if (edgepivot == 1) {
+ // The flip edge is [c,b].
+ tmpabtets[0] = abtets[((i-1)+(n-1))%(n-1)]; // [a,b,e,d]
+ eprevself(tmpabtets[0]);
+ esymself(tmpabtets[0]);
+ eprevself(tmpabtets[0]); // [d,a,e,b]
+ fsym(tmpabtets[0], tmpabtets[1]); // [a,d,e,c]
+ } else {
+ // The flip edge is [a,c].
+ tmpabtets[1] = abtets[((i-1)+(n-1))%(n-1)]; // [a,b,e,d]
+ enextself(tmpabtets[1]);
+ esymself(tmpabtets[1]);
+ enextself(tmpabtets[1]); // [b,d,e,a]
+ fsym(tmpabtets[1], tmpabtets[0]); // [d,b,e,c]
+ } // if (edgepivot == 2)
+
+ // Recover the flipped edge ([c,b] or [a,c]).
+ flipnm_post(tmpabtets, n1, 2, edgepivot, fc);
+
+ // Insert the two recovered tets into Star(ab).
+ for (j = n - 2; j >= i; j--) {
+ abtets[j + 1] = abtets[j]; // Downshift
+ }
+ if (edgepivot == 1) {
+ // tmpabtets[0] is [c,b,d,a] ==> contains [a,b]
+ // tmpabtets[1] is [c,b,a,e] ==> contains [a,b]
+ // tmpabtets[2] is [c,b,e,d]
+ fliptets[0] = tmpabtets[1];
+ enextself(fliptets[0]);
+ esymself(fliptets[0]); // [a,b,e,c]
+ fliptets[1] = tmpabtets[0];
+ esymself(fliptets[1]);
+ eprevself(fliptets[1]); // [a,b,c,d]
+ } else {
+ // tmpabtets[0] is [a,c,d,b] ==> contains [a,b]
+ // tmpabtets[1] is [a,c,b,e] ==> contains [a,b]
+ // tmpabtets[2] is [a,c,e,d]
+ fliptets[0] = tmpabtets[1];
+ eprevself(fliptets[0]);
+ esymself(fliptets[0]); // [a,b,e,c]
+ fliptets[1] = tmpabtets[0];
+ esymself(fliptets[1]);
+ enextself(fliptets[1]); // [a,b,c,d]
+ } // edgepivot == 2
+ for (j = 0; j < 2; j++) {
+ increaseelemcounter(fliptets[j]);
+ }
+ // Insert the two recovered tets into Star(ab).
+ abtets[(i - 1 + n) % n] = fliptets[0];
+ abtets[i] = fliptets[1];
+ nn++;
+ // Release the allocated spaces.
+ delete [] tmpabtets;
+ } // if (unflip)
+ } // if (nn > 2)
+
+ if (!fc->unflip) {
+ // The flips are not reversed. The current Star(ab) can not be
+ // further reduced. Return its size (# of tets).
+ return nn;
+ }
+ // unflip is set.
+ // Continue the search for flips.
+ } else {
+ // The selected edge is not flipped.
+ if (fc->unflip) {
+ // The memory should already be freed.
+ assert(nn == n1);
+ } else {
+ // Release the memory used in this attempted flip.
+ flipnm_post(tmpabtets, n1, nn, edgepivot, fc);
+ }
+ // Decrease the star counters of tets in Star(flipedge).
+ for (j = 0; j < nn; j++) {
+ assert(elemcounter(tmpabtets[j]) > 0); // SELF_CHECK
+ decreaseelemcounter(tmpabtets[j]);
+ }
+ // Release the allocated spaces.
+ delete [] tmpabtets;
+ }
+ } // i
+ } // if (level...)
+ } // if (reflexlinkedgecount > 0)
+ } else {
+ // Check if a 3-to-2 flip is possible.
+ // Let the three apexes be c, d,and e. Hull tets may be involved. If so,
+ // we rearrange them such that the vertex e is dummypoint.
+ hullflag = 0;
+
+ if (apex(abtets[0]) == dummypoint) {
+ pc = apex(abtets[1]);
+ pd = apex(abtets[2]);
+ pe = apex(abtets[0]);
+ hullflag = 1;
+ } else if (apex(abtets[1]) == dummypoint) {
+ pc = apex(abtets[2]);
+ pd = apex(abtets[0]);
+ pe = apex(abtets[1]);
+ hullflag = 2;
+ } else {
+ pc = apex(abtets[0]);
+ pd = apex(abtets[1]);
+ pe = apex(abtets[2]);
+ hullflag = (pe == dummypoint) ? 3 : 0;
+ }
+
+ reducflag = 0;
+ rejflag = 0;
+
+
+ if (hullflag == 0) {
+ // Make sure that no inverted tet will be created, i.e. the new tets
+ // [d,c,e,a] and [c,d,e,b] must be valid tets.
+ ori = orient3d(pd, pc, pe, pa);
+ if (ori < 0) {
+ ori = orient3d(pc, pd, pe, pb);
+ if (ori < 0) {
+ reducflag = 1;
+ }
+ }
+ } else {
+ // [a,b] is a hull edge.
+ // Note: This can happen when it is in the middle of a 4-to-4 flip.
+ // Note: [a,b] may even be a non-convex hull edge.
+ if (!nonconvex) {
+ // The mesh is convex, only do flip if it is a coplanar hull edge.
+ ori = orient3d(pa, pb, pc, pd);
+ if (ori == 0) {
+ reducflag = 1;
+ }
+ } else { // nonconvex
+ reducflag = 1;
+ }
+ if (reducflag == 1) {
+ // [a,b], [a,b,c] and [a,b,d] are on the convex hull.
+ // Make sure that no inverted tet will be created.
+ point searchpt = NULL, chkpt;
+ REAL bigvol = 0.0, ori1, ori2;
+ // Search an interior vertex which is an apex of edge [c,d].
+ // In principle, it can be arbitrary interior vertex. To avoid
+ // numerical issue, we choose the vertex which belongs to a tet
+ // 't' at edge [c,d] and 't' has the biggest volume.
+ fliptets[0] = abtets[hullflag % 3]; // [a,b,c,d].
+ eorgoppoself(fliptets[0]); // [d,c,b,a]
+ spintet = fliptets[0];
+ while (1) {
+ fnextself(spintet);
+ chkpt = oppo(spintet);
+ if (chkpt == pb) break;
+ if ((chkpt != dummypoint) && (apex(spintet) != dummypoint)) {
+ ori = -orient3d(pd, pc, apex(spintet), chkpt);
+ assert(ori > 0);
+ if (ori > bigvol) {
+ bigvol = ori;
+ searchpt = chkpt;
+ }
+ }
+ }
+ if (searchpt != NULL) {
+ // Now valid the configuration.
+ ori1 = orient3d(pd, pc, searchpt, pa);
+ ori2 = orient3d(pd, pc, searchpt, pb);
+ if (ori1 * ori2 >= 0.0) {
+ reducflag = 0; // Not valid.
+ } else {
+ ori1 = orient3d(pa, pb, searchpt, pc);
+ ori2 = orient3d(pa, pb, searchpt, pd);
+ if (ori1 * ori2 >= 0.0) {
+ reducflag = 0; // Not valid.
+ }
+ }
+ } else {
+ // No valid searchpt is found.
+ reducflag = 0; // Do not flip it.
+ }
+ } // if (reducflag == 1)
+ } // if (hullflag == 1)
+
+ if (reducflag) {
+ // A 3-to-2 flip is possible.
+ if (checksubfaceflag) {
+ // This edge (must not be a segment) can be flipped ONLY IF it belongs
+ // to either 0 or 2 subfaces. In the latter case, a 2-to-2 flip in
+ // the surface mesh will be automatically performed within the
+ // 3-to-2 flip.
+ nn = 0;
+ edgepivot = -1; // Re-use it.
+ for (j = 0; j < 3; j++) {
+ if (issubface(abtets[j])) {
+ nn++; // Found a subface.
+ } else {
+ edgepivot = j;
+ }
+ }
+ assert(nn < 3);
+ if (nn == 1) {
+ // Found only 1 subface containing this edge. This can happen in
+ // the boundary recovery phase. The neighbor subface is not yet
+ // recovered. This edge should not be flipped at this moment.
+ rejflag = 1;
+ } else if (nn == 2) {
+ // Found two subfaces. A 2-to-2 flip is possible. Validate it.
+ // Below we check if the two faces [p,q,a] and [p,q,b] are subfaces.
+ eorgoppo(abtets[(edgepivot + 1) % 3], spintet); // [q,p,b,a]
+ if (issubface(spintet)) {
+ rejflag = 1; // Conflict to a 2-to-2 flip.
+ } else {
+ esymself(spintet);
+ if (issubface(spintet)) {
+ rejflag = 1; // Conflict to a 2-to-2 flip.
+ }
+ }
+ }
+ }
+ if (!rejflag && fc->checkflipeligibility) {
+ // Here we must exchange 'a' and 'b'. Since in the check... function,
+ // we assume the following point sequence, 'a,b,c,d,e', where
+ // the face [a,b,c] will be flipped and the edge [e,d] will be
+ // created. The two new tets are [a,b,c,d] and [b,a,c,e].
+ rejflag = checkflipeligibility(2, pc, pd, pe, pb, pa, level,
+ abedgepivot, fc);
+ }
+ if (!rejflag) {
+ // Do flip: [a,b] => [c,d,e]
+ flip32(abtets, hullflag, fc);
+ if (fc->remove_ndelaunay_edge) {
+ if (level == 0) {
+ // It is the desired removing edge. Check if we have improved
+ // the objective function.
+ if ((fc->tetprism_vol_sum >= 0.0) ||
+ (fabs(fc->tetprism_vol_sum) < fc->bak_tetprism_vol)) {
+ // No improvement! flip back: [c,d,e] => [a,b].
+ flip23(abtets, hullflag, fc);
+ // Increase the element counter -- They are in cavity.
+ for (j = 0; j < 3; j++) {
+ increaseelemcounter(abtets[j]);
+ }
+ return 3;
+ }
+ } // if (level == 0)
+ }
+ if (fc->collectnewtets) {
+ // Collect new tets.
+ if (level == 0) {
+ // Push the two new tets into stack.
+ for (j = 0; j < 2; j++) {
+ cavetetlist->newindex((void **) &parytet);
+ *parytet = abtets[j];
+ }
+ } else {
+ // Only one of the new tets is collected. The other one is inside
+ // the reduced edge star. 'abedgepivot' is either '1' or '2'.
+ cavetetlist->newindex((void **) &parytet);
+ if (abedgepivot == 1) { // [c,b]
+ *parytet = abtets[1];
+ } else {
+ assert(abedgepivot == 2); // [a,c]
+ *parytet = abtets[0];
+ }
+ }
+ } // if (fc->collectnewtets)
+ return 2;
+ }
+ } // if (reducflag)
+ } // if (n == 3)
+
+ // The current (reduced) Star size.
+ return n;
+}
+
+int meshGRegionBoundaryRecovery::flipnm_post(triface* abtets, int n, int nn,
+ int abedgepivot, flipconstraints* fc)
+{
+ triface fliptets[3], flipface;
+ triface *tmpabtets;
+ int fliptype;
+ int edgepivot;
+ int t, n1;
+ int i, j;
+
+
+ if (nn == 2) {
+ // The edge [a,b] has been flipped.
+ // 'abtets[0]' is [c,d,e,b] or [#,#,#,b].
+ // 'abtets[1]' is [d,c,e,a] or [#,#,#,a].
+ if (fc->unflip) {
+ // Do a 2-to-3 flip to recover the edge [a,b]. There may be hull tets.
+ flip23(abtets, 1, fc);
+ if (fc->collectnewtets) {
+ // Pop up new (flipped) tets from the stack.
+ if (abedgepivot == 0) {
+ // Two new tets were collected.
+ cavetetlist->objects -= 2;
+ } else {
+ // Only one of the two new tets was collected.
+ cavetetlist->objects -= 1;
+ }
+ }
+ }
+ // The initial size of Star(ab) is 3.
+ nn++;
+ }
+
+ // Walk through the performed flips.
+ for (i = nn; i < n; i++) {
+ // At the beginning of each step 'i', the size of the Star([a,b]) is 'i'.
+ // At the end of this step, the size of the Star([a,b]) is 'i+1'.
+ // The sizes of the Link([a,b]) are the same.
+ fliptype = ((abtets[i].ver >> 4) & 3); // 0, 1, or 2.
+ if (fliptype == 1) {
+ // It was a 2-to-3 flip: [a,b,c]->[e,d].
+ t = (abtets[i].ver >> 6);
+ assert(t <= i);
+ if (fc->unflip) {
+ if (b->verbose > 2) {
+ printf(" Recover a 2-to-3 flip at f[%d].\n", t);
+ }
+ // 'abtets[(t-1)%i]' is the tet [a,b,e,d] in current Star(ab), i.e.,
+ // it is created by a 2-to-3 flip [a,b,c] => [e,d].
+ fliptets[0] = abtets[((t - 1) + i) % i]; // [a,b,e,d]
+ eprevself(fliptets[0]);
+ esymself(fliptets[0]);
+ enextself(fliptets[0]); // [e,d,a,b]
+ fnext(fliptets[0], fliptets[1]); // [e,d,b,c]
+ fnext(fliptets[1], fliptets[2]); // [e,d,c,a]
+ // Do a 3-to-2 flip: [e,d] => [a,b,c].
+ // NOTE: hull tets may be invloved.
+ flip32(fliptets, 1, fc);
+ // Expand the array 'abtets', maintain the original order.
+ // The new array length is (i+1).
+ for (j = i - 1; j >= t; j--) {
+ abtets[j + 1] = abtets[j]; // Downshift
+ }
+ // The tet abtets[(t-1)%i] is deleted. Insert the two new tets
+ // 'fliptets[0]' [a,b,c,d] and 'fliptets[1]' [b,a,c,e] into
+ // the (t-1)-th and t-th entries, respectively.
+ esym(fliptets[1], abtets[((t-1) + (i+1)) % (i+1)]); // [a,b,e,c]
+ abtets[t] = fliptets[0]; // [a,b,c,d]
+ if (fc->collectnewtets) {
+ // Pop up two (flipped) tets from the stack.
+ cavetetlist->objects -= 2;
+ }
+ }
+ } else if (fliptype == 2) {
+ tmpabtets = (triface *) (abtets[i].tet);
+ n1 = ((abtets[i].ver >> 19) & 8191); // \sum_{i=0^12}{2^i} = 8191
+ edgepivot = (abtets[i].ver & 3);
+ t = ((abtets[i].ver >> 6) & 8191);
+ assert(t <= i);
+ if (fc->unflip) {
+ if (b->verbose > 2) {
+ printf(" Recover a %d-to-m flip at e[%d] of f[%d].\n", n1,
+ edgepivot, t);
+ }
+ // Recover the flipped edge ([c,b] or [a,c]).
+ // abtets[(t - 1 + i) % i] is [a,b,e,d], i.e., the tet created by
+ // the flipping of edge [c,b] or [a,c]. It must still exist in
+ // Star(ab). Use it to recover the flipped edge.
+ if (edgepivot == 1) {
+ // The flip edge is [c,b].
+ tmpabtets[0] = abtets[(t - 1 + i) % i]; // [a,b,e,d]
+ eprevself(tmpabtets[0]);
+ esymself(tmpabtets[0]);
+ eprevself(tmpabtets[0]); // [d,a,e,b]
+ fsym(tmpabtets[0], tmpabtets[1]); // [a,d,e,c]
+ } else {
+ // The flip edge is [a,c].
+ tmpabtets[1] = abtets[(t - 1 + i) % i]; // [a,b,e,d]
+ enextself(tmpabtets[1]);
+ esymself(tmpabtets[1]);
+ enextself(tmpabtets[1]); // [b,d,e,a]
+ fsym(tmpabtets[1], tmpabtets[0]); // [d,b,e,c]
+ } // if (edgepivot == 2)
+
+ // Do a n1-to-m1 flip to recover the flipped edge ([c,b] or [a,c]).
+ flipnm_post(tmpabtets, n1, 2, edgepivot, fc);
+
+ // Insert the two recovered tets into the original Star(ab).
+ for (j = i - 1; j >= t; j--) {
+ abtets[j + 1] = abtets[j]; // Downshift
+ }
+ if (edgepivot == 1) {
+ // tmpabtets[0] is [c,b,d,a] ==> contains [a,b]
+ // tmpabtets[1] is [c,b,a,e] ==> contains [a,b]
+ // tmpabtets[2] is [c,b,e,d]
+ fliptets[0] = tmpabtets[1];
+ enextself(fliptets[0]);
+ esymself(fliptets[0]); // [a,b,e,c]
+ fliptets[1] = tmpabtets[0];
+ esymself(fliptets[1]);
+ eprevself(fliptets[1]); // [a,b,c,d]
+ } else {
+ // tmpabtets[0] is [a,c,d,b] ==> contains [a,b]
+ // tmpabtets[1] is [a,c,b,e] ==> contains [a,b]
+ // tmpabtets[2] is [a,c,e,d]
+ fliptets[0] = tmpabtets[1];
+ eprevself(fliptets[0]);
+ esymself(fliptets[0]); // [a,b,e,c]
+ fliptets[1] = tmpabtets[0];
+ esymself(fliptets[1]);
+ enextself(fliptets[1]); // [a,b,c,d]
+ } // edgepivot == 2
+ // Insert the two recovered tets into Star(ab).
+ abtets[((t-1) + (i+1)) % (i+1)] = fliptets[0];
+ abtets[t] = fliptets[1];
+ }
+ else {
+ // Only free the spaces.
+ flipnm_post(tmpabtets, n1, 2, edgepivot, fc);
+ } // if (!unflip)
+ if (b->verbose > 2) {
+ printf(" Release %d spaces at f[%d].\n", n1, i);
+ }
+ delete [] tmpabtets;
+ }
+ } // i
+
+ return 1;
+}
+
+int meshGRegionBoundaryRecovery::insertpoint(point insertpt,
+ triface *searchtet, face *splitsh, face *splitseg, insertvertexflags *ivf)
+{
+ arraypool *swaplist;
+ triface *cavetet, spintet, neightet, neineitet, *parytet;
+ triface oldtet, newtet, newneitet;
+ face checksh, neighsh, *parysh;
+ face checkseg, *paryseg;
+ point *pts, pa, pb, pc, *parypt;
+ enum locateresult loc = OUTSIDE;
+ REAL sign, ori;
+ REAL attrib, volume;
+ bool enqflag;
+ int t1ver;
+ int i, j, k, s;
+
+ if (b->verbose > 2) {
+ printf(" Insert point %d\n", pointmark(insertpt));
+ }
+
+ // Locate the point.
+ if (searchtet->tet != NULL) {
+ loc = (enum locateresult) ivf->iloc;
+ }
+
+ if (loc == OUTSIDE) {
+ if (searchtet->tet == NULL) {
+ if (!b->weighted) {
+ randomsample(insertpt, searchtet);
+ } else {
+ // Weighted DT. There may exist dangling vertex.
+ *searchtet = recenttet;
+ }
+ }
+ // Locate the point.
+ loc = locate(insertpt, searchtet);
+ }
+
+ ivf->iloc = (int) loc; // The return value.
+
+ /*
+ if (b->weighted) {
+ if (loc != OUTSIDE) {
+ // Check if this vertex is regular.
+ pts = (point *) searchtet->tet;
+ assert(pts[7] != dummypoint);
+ sign = orient4d_s(pts[4], pts[5], pts[6], pts[7], insertpt,
+ pts[4][3], pts[5][3], pts[6][3], pts[7][3],
+ insertpt[3]);
+ if (sign > 0) {
+ // This new vertex does not lie below the lower hull. Skip it.
+ setpointtype(insertpt, NREGULARVERTEX);
+ nonregularcount++;
+ ivf->iloc = (int) NONREGULAR;
+ return 0;
+ }
+ }
+ }
+ */
+
+ // Create the initial cavity C(p) which contains all tetrahedra that
+ // intersect p. It may include 1, 2, or n tetrahedra.
+ // If p lies on a segment or subface, also create the initial sub-cavity
+ // sC(p) which contains all subfaces (and segment) which intersect p.
+
+ if (loc == OUTSIDE) {
+ flip14count++;
+ // The current hull will be enlarged.
+ // Add four adjacent boundary tets into list.
+ for (i = 0; i < 4; i++) {
+ decode(searchtet->tet[i], neightet);
+ neightet.ver = epivot[neightet.ver];
+ cavebdrylist->newindex((void **) &parytet);
+ *parytet = neightet;
+ }
+ infect(*searchtet);
+ caveoldtetlist->newindex((void **) &parytet);
+ *parytet = *searchtet;
+ } else if (loc == INTETRAHEDRON) {
+ flip14count++;
+ // Add four adjacent boundary tets into list.
+ for (i = 0; i < 4; i++) {
+ decode(searchtet->tet[i], neightet);
+ neightet.ver = epivot[neightet.ver];
+ cavebdrylist->newindex((void **) &parytet);
+ *parytet = neightet;
+ }
+ infect(*searchtet);
+ caveoldtetlist->newindex((void **) &parytet);
+ *parytet = *searchtet;
+ } else if (loc == ONFACE) {
+ flip26count++;
+ // Add six adjacent boundary tets into list.
+ j = (searchtet->ver & 3); // The current face number.
+ for (i = 1; i < 4; i++) {
+ decode(searchtet->tet[(j + i) % 4], neightet);
+ neightet.ver = epivot[neightet.ver];
+ cavebdrylist->newindex((void **) &parytet);
+ *parytet = neightet;
+ }
+ decode(searchtet->tet[j], spintet);
+ j = (spintet.ver & 3); // The current face number.
+ for (i = 1; i < 4; i++) {
+ decode(spintet.tet[(j + i) % 4], neightet);
+ neightet.ver = epivot[neightet.ver];
+ cavebdrylist->newindex((void **) &parytet);
+ *parytet = neightet;
+ }
+ infect(spintet);
+ caveoldtetlist->newindex((void **) &parytet);
+ *parytet = spintet;
+ infect(*searchtet);
+ caveoldtetlist->newindex((void **) &parytet);
+ *parytet = *searchtet;
+
+ if (ivf->splitbdflag) {
+ if ((splitsh != NULL) && (splitsh->sh != NULL)) {
+ // Create the initial sub-cavity sC(p).
+ smarktest(*splitsh);
+ caveshlist->newindex((void **) &parysh);
+ *parysh = *splitsh;
+ }
+ } // if (splitbdflag)
+ } else if (loc == ONEDGE) {
+ flipn2ncount++;
+ // Add all adjacent boundary tets into list.
+ spintet = *searchtet;
+ while (1) {
+ eorgoppo(spintet, neightet);
+ decode(neightet.tet[neightet.ver & 3], neightet);
+ neightet.ver = epivot[neightet.ver];
+ cavebdrylist->newindex((void **) &parytet);
+ *parytet = neightet;
+ edestoppo(spintet, neightet);
+ decode(neightet.tet[neightet.ver & 3], neightet);
+ neightet.ver = epivot[neightet.ver];
+ cavebdrylist->newindex((void **) &parytet);
+ *parytet = neightet;
+ infect(spintet);
+ caveoldtetlist->newindex((void **) &parytet);
+ *parytet = spintet;
+ fnextself(spintet);
+ if (spintet.tet == searchtet->tet) break;
+ } // while (1)
+
+ if (ivf->splitbdflag) {
+ // Create the initial sub-cavity sC(p).
+ if ((splitseg != NULL) && (splitseg->sh != NULL)) {
+ smarktest(*splitseg);
+ splitseg->shver = 0;
+ spivot(*splitseg, *splitsh);
+ }
+ if (splitsh != NULL) {
+ if (splitsh->sh != NULL) {
+ // Collect all subfaces share at this edge.
+ pa = sorg(*splitsh);
+ neighsh = *splitsh;
+ while (1) {
+ // Adjust the origin of its edge to be 'pa'.
+ if (sorg(neighsh) != pa) {
+ sesymself(neighsh);
+ }
+ // Add this face into list (in B-W cavity).
+ smarktest(neighsh);
+ caveshlist->newindex((void **) &parysh);
+ *parysh = neighsh;
+ // Add this face into face-at-splitedge list.
+ cavesegshlist->newindex((void **) &parysh);
+ *parysh = neighsh;
+ // Go to the next face at the edge.
+ spivotself(neighsh);
+ // Stop if all faces at the edge have been visited.
+ if (neighsh.sh == splitsh->sh) break;
+ if (neighsh.sh == NULL) break;
+ } // while (1)
+ } // if (not a dangling segment)
+ }
+ } // if (splitbdflag)
+ } else if (loc == INSTAR) {
+ // We assume that all tets in the star are given in 'caveoldtetlist',
+ // and they are all infected.
+ assert(caveoldtetlist->objects > 0);
+ // Collect the boundary faces of the star.
+ for (i = 0; i < caveoldtetlist->objects; i++) {
+ cavetet = (triface *) fastlookup(caveoldtetlist, i);
+ // Check its 4 neighbor tets.
+ for (j = 0; j < 4; j++) {
+ decode(cavetet->tet[j], neightet);
+ if (!infected(neightet)) {
+ // It's a boundary face.
+ neightet.ver = epivot[neightet.ver];
+ cavebdrylist->newindex((void **) &parytet);
+ *parytet = neightet;
+ }
+ }
+ }
+ } else if (loc == ONVERTEX) {
+ // The point already exist. Do nothing and return.
+ return 0;
+ }
+
+ /*
+ if (ivf->assignmeshsize) {
+ // Assign mesh size for the new point.
+ if (bgm != NULL) {
+ // Interpolate the mesh size from the background mesh.
+ bgm->decode(point2bgmtet(org(*searchtet)), neightet);
+ int bgmloc = (int) bgm->scoutpoint(insertpt, &neightet, 0);
+ if (bgmloc != (int) OUTSIDE) {
+ insertpt[pointmtrindex] =
+ bgm->getpointmeshsize(insertpt, &neightet, bgmloc);
+ setpoint2bgmtet(insertpt, bgm->encode(neightet));
+ }
+ } else {
+ insertpt[pointmtrindex] = getpointmeshsize(insertpt,searchtet,(int)loc);
+ }
+ } // if (assignmeshsize)
+ */
+
+ if (ivf->bowywat) {
+ // Update the cavity C(p) using the Bowyer-Watson algorithm.
+ swaplist = cavetetlist;
+ cavetetlist = cavebdrylist;
+ cavebdrylist = swaplist;
+ for (i = 0; i < cavetetlist->objects; i++) {
+ // 'cavetet' is an adjacent tet at outside of the cavity.
+ cavetet = (triface *) fastlookup(cavetetlist, i);
+ // The tet may be tested and included in the (enlarged) cavity.
+ if (!infected(*cavetet)) {
+ // Check for two possible cases for this tet:
+ // (1) It is a cavity tet, or
+ // (2) it is a cavity boundary face.
+ enqflag = false;
+ if (!marktested(*cavetet)) {
+ // Do Delaunay (in-sphere) test.
+ pts = (point *) cavetet->tet;
+ if (pts[7] != dummypoint) {
+ // A volume tet. Operate on it.
+ if (b->weighted) {
+ /*
+ sign = orient4d_s(pts[4], pts[5], pts[6], pts[7], insertpt,
+ pts[4][3], pts[5][3], pts[6][3], pts[7][3],
+ insertpt[3]);
+ */
+ } else {
+ sign = insphere_s(pts[4], pts[5], pts[6], pts[7], insertpt);
+ }
+ enqflag = (sign < 0.0);
+ } else {
+ if (!nonconvex) {
+ // Test if this hull face is visible by the new point.
+ ori = orient3d(pts[4], pts[5], pts[6], insertpt);
+ if (ori < 0) {
+ // A visible hull face.
+ //if (!nonconvex) {
+ // Include it in the cavity. The convex hull will be enlarged.
+ enqflag = true; // (ori < 0.0);
+ //}
+ } else if (ori == 0.0) {
+ // A coplanar hull face. We need to test if this hull face is
+ // Delaunay or not. We test if the adjacent tet (not faked)
+ // of this hull face is Delaunay or not.
+ decode(cavetet->tet[3], neineitet);
+ if (!infected(neineitet)) {
+ if (!marktested(neineitet)) {
+ // Do Delaunay test on this tet.
+ pts = (point *) neineitet.tet;
+ assert(pts[7] != dummypoint);
+ if (b->weighted) {
+ /*
+ sign = orient4d_s(pts[4],pts[5],pts[6],pts[7], insertpt,
+ pts[4][3], pts[5][3], pts[6][3],
+ pts[7][3], insertpt[3]);
+ */
+ } else {
+ sign = insphere_s(pts[4],pts[5],pts[6],pts[7], insertpt);
+ }
+ enqflag = (sign < 0.0);
+ }
+ } else {
+ // The adjacent tet is non-Delaunay. The hull face is non-
+ // Delaunay as well. Include it in the cavity.
+ enqflag = true;
+ } // if (!infected(neineitet))
+ } // if (ori == 0.0)
+ } else {
+ // A hull face (must be a subface).
+ // We FIRST include it in the initial cavity if the adjacent tet
+ // (not faked) of this hull face is not Delaunay wrt p.
+ // Whether it belongs to the final cavity will be determined
+ // during the validation process. 'validflag'.
+ decode(cavetet->tet[3], neineitet);
+ if (!infected(neineitet)) {
+ if (!marktested(neineitet)) {
+ // Do Delaunay test on this tet.
+ pts = (point *) neineitet.tet;
+ assert(pts[7] != dummypoint);
+ if (b->weighted) {
+ /*
+ sign = orient4d_s(pts[4],pts[5],pts[6],pts[7], insertpt,
+ pts[4][3], pts[5][3], pts[6][3],
+ pts[7][3], insertpt[3]);
+ */
+ } else {
+ sign = insphere_s(pts[4],pts[5],pts[6],pts[7], insertpt);
+ }
+ enqflag = (sign < 0.0);
+ }
+ } else {
+ // The adjacent tet is non-Delaunay. The hull face is non-
+ // Delaunay as well. Include it in the cavity.
+ enqflag = true;
+ } // if (infected(neineitet))
+ } // if (nonconvex)
+ } // if (pts[7] != dummypoint)
+ marktest(*cavetet); // Only test it once.
+ } // if (!marktested(*cavetet))
+
+ if (enqflag) {
+ // Found a tet in the cavity. Put other three faces in check list.
+ k = (cavetet->ver & 3); // The current face number
+ for (j = 1; j < 4; j++) {
+ decode(cavetet->tet[(j + k) % 4], neightet);
+ cavetetlist->newindex((void **) &parytet);
+ *parytet = neightet;
+ }
+ infect(*cavetet);
+ caveoldtetlist->newindex((void **) &parytet);
+ *parytet = *cavetet;
+ } else {
+ // Found a boundary face of the cavity.
+ cavetet->ver = epivot[cavetet->ver];
+ cavebdrylist->newindex((void **) &parytet);
+ *parytet = *cavetet;
+ }
+ } // if (!infected(*cavetet))
+ } // i
+
+ cavetetlist->restart(); // Clear the working list.
+ } // if (ivf->bowywat)
+
+ if (checksubsegflag) {
+ // Collect all segments of C(p).
+ shellface *ssptr;
+ for (i = 0; i < caveoldtetlist->objects; i++) {
+ cavetet = (triface *) fastlookup(caveoldtetlist, i);
+ if ((ssptr = (shellface*) cavetet->tet[8]) != NULL) {
+ for (j = 0; j < 6; j++) {
+ if (ssptr[j]) {
+ sdecode(ssptr[j], checkseg);
+ if (!sinfected(checkseg)) {
+ sinfect(checkseg);
+ cavetetseglist->newindex((void **) &paryseg);
+ *paryseg = checkseg;
+ }
+ }
+ } // j
+ }
+ } // i
+ // Uninfect collected segments.
+ for (i = 0; i < cavetetseglist->objects; i++) {
+ paryseg = (face *) fastlookup(cavetetseglist, i);
+ suninfect(*paryseg);
+ }
+
+ /*
+ if (ivf->rejflag & 1) {
+ // Reject this point if it encroaches upon any segment.
+ face *paryseg1;
+ for (i = 0; i < cavetetseglist->objects; i++) {
+ paryseg1 = (face *) fastlookup(cavetetseglist, i);
+ if (checkseg4encroach((point) paryseg1->sh[3], (point) paryseg1->sh[4],
+ insertpt)) {
+ encseglist->newindex((void **) &paryseg);
+ *paryseg = *paryseg1;
+ }
+ } // i
+ if (encseglist->objects > 0) {
+ insertpoint_abort(splitseg, ivf);
+ ivf->iloc = (int) ENCSEGMENT;
+ return 0;
+ }
+ }
+ */
+ } // if (checksubsegflag)
+
+ if (checksubfaceflag) {
+ // Collect all subfaces of C(p).
+ shellface *sptr;
+ for (i = 0; i < caveoldtetlist->objects; i++) {
+ cavetet = (triface *) fastlookup(caveoldtetlist, i);
+ if ((sptr = (shellface*) cavetet->tet[9]) != NULL) {
+ for (j = 0; j < 4; j++) {
+ if (sptr[j]) {
+ sdecode(sptr[j], checksh);
+ if (!sinfected(checksh)) {
+ sinfect(checksh);
+ cavetetshlist->newindex((void **) &parysh);
+ *parysh = checksh;
+ }
+ }
+ } // j
+ }
+ } // i
+ // Uninfect collected subfaces.
+ for (i = 0; i < cavetetshlist->objects; i++) {
+ parysh = (face *) fastlookup(cavetetshlist, i);
+ suninfect(*parysh);
+ }
+
+ /*
+ if (ivf->rejflag & 2) {
+ REAL rd, cent[3];
+ badface *bface;
+ // Reject this point if it encroaches upon any subface.
+ for (i = 0; i < cavetetshlist->objects; i++) {
+ parysh = (face *) fastlookup(cavetetshlist, i);
+ if (checkfac4encroach((point) parysh->sh[3], (point) parysh->sh[4],
+ (point) parysh->sh[5], insertpt, cent, &rd)) {
+ encshlist->newindex((void **) &bface);
+ bface->ss = *parysh;
+ bface->forg = (point) parysh->sh[3]; // Not a dad one.
+ for (j = 0; j < 3; j++) bface->cent[j] = cent[j];
+ bface->key = rd;
+ }
+ }
+ if (encshlist->objects > 0) {
+ insertpoint_abort(splitseg, ivf);
+ ivf->iloc = (int) ENCSUBFACE;
+ return 0;
+ }
+ }
+ */
+ } // if (checksubfaceflag)
+
+ if ((ivf->iloc == (int) OUTSIDE) && ivf->refineflag) {
+ // The vertex lies outside of the domain. And it does not encroach
+ // upon any boundary segment or subface. Do not insert it.
+ insertpoint_abort(splitseg, ivf);
+ return 0;
+ }
+
+ if (ivf->splitbdflag) {
+ // The new point locates in surface mesh. Update the sC(p).
+ // We have already 'smarktested' the subfaces which directly intersect
+ // with p in 'caveshlist'. From them, we 'smarktest' their neighboring
+ // subfaces which are included in C(p). Do not across a segment.
+ for (i = 0; i < caveshlist->objects; i++) {
+ parysh = (face *) fastlookup(caveshlist, i);
+ assert(smarktested(*parysh));
+ checksh = *parysh;
+ for (j = 0; j < 3; j++) {
+ if (!isshsubseg(checksh)) {
+ spivot(checksh, neighsh);
+ assert(neighsh.sh != NULL);
+ if (!smarktested(neighsh)) {
+ stpivot(neighsh, neightet);
+ if (infected(neightet)) {
+ fsymself(neightet);
+ if (infected(neightet)) {
+ // This subface is inside C(p).
+ // Check if its diametrical circumsphere encloses 'p'.
+ // The purpose of this check is to avoid forming invalid
+ // subcavity in surface mesh.
+ sign = incircle3d(sorg(neighsh), sdest(neighsh),
+ sapex(neighsh), insertpt);
+ if (sign < 0) {
+ smarktest(neighsh);
+ caveshlist->newindex((void **) &parysh);
+ *parysh = neighsh;
+ }
+ }
+ }
+ }
+ }
+ senextself(checksh);
+ } // j
+ } // i
+ } // if (ivf->splitbdflag)
+
+ if (ivf->validflag) {
+ // Validate C(p) and update it if it is not star-shaped.
+ int cutcount = 0;
+
+ if (ivf->respectbdflag) {
+ // The initial cavity may include subfaces which are not on the facets
+ // being splitting. Find them and make them as boundary of C(p).
+ // Comment: We have already 'smarktested' the subfaces in sC(p). They
+ // are completely inside C(p).
+ for (i = 0; i < cavetetshlist->objects; i++) {
+ parysh = (face *) fastlookup(cavetetshlist, i);
+ stpivot(*parysh, neightet);
+ if (infected(neightet)) {
+ fsymself(neightet);
+ if (infected(neightet)) {
+ // Found a subface inside C(p).
+ if (!smarktested(*parysh)) {
+ // It is possible that this face is a boundary subface.
+ // Check if it is a hull face.
+ //assert(apex(neightet) != dummypoint);
+ if (oppo(neightet) != dummypoint) {
+ fsymself(neightet);
+ }
+ if (oppo(neightet) != dummypoint) {
+ ori = orient3d(org(neightet), dest(neightet), apex(neightet),
+ insertpt);
+ if (ori < 0) {
+ // A visible face, get its neighbor face.
+ fsymself(neightet);
+ ori = -ori; // It must be invisible by p.
+ }
+ } else {
+ // A hull tet. It needs to be cut.
+ ori = 1;
+ }
+ // Cut this tet if it is either invisible by or coplanar with p.
+ if (ori >= 0) {
+ uninfect(neightet);
+ unmarktest(neightet);
+ cutcount++;
+ neightet.ver = epivot[neightet.ver];
+ cavebdrylist->newindex((void **) &parytet);
+ *parytet = neightet;
+ // Add three new faces to find new boundaries.
+ for (j = 0; j < 3; j++) {
+ esym(neightet, neineitet);
+ neineitet.ver = epivot[neineitet.ver];
+ cavebdrylist->newindex((void **) &parytet);
+ *parytet = neineitet;
+ enextself(neightet);
+ }
+ } // if (ori >= 0)
+ }
+ }
+ }
+ } // i
+
+ // The initial cavity may include segments in its interior. We need to
+ // Update the cavity so that these segments are on the boundary of
+ // the cavity.
+ for (i = 0; i < cavetetseglist->objects; i++) {
+ paryseg = (face *) fastlookup(cavetetseglist, i);
+ // Check this segment if it is not a splitting segment.
+ if (!smarktested(*paryseg)) {
+ sstpivot1(*paryseg, neightet);
+ spintet = neightet;
+ while (1) {
+ if (!infected(spintet)) break;
+ fnextself(spintet);
+ if (spintet.tet == neightet.tet) break;
+ }
+ if (infected(spintet)) {
+ // Find an adjacent tet at this segment such that both faces
+ // at this segment are not visible by p.
+ pa = org(neightet);
+ pb = dest(neightet);
+ spintet = neightet;
+ j = 0;
+ while (1) {
+ // Check if this face is visible by p.
+ pc = apex(spintet);
+ if (pc != dummypoint) {
+ ori = orient3d(pa, pb, pc, insertpt);
+ if (ori >= 0) {
+ // Not visible. Check another face in this tet.
+ esym(spintet, neineitet);
+ pc = apex(neineitet);
+ if (pc != dummypoint) {
+ ori = orient3d(pb, pa, pc, insertpt);
+ if (ori >= 0) {
+ // Not visible. Found this face.
+ j = 1; // Flag that it is found.
+ break;
+ }
+ }
+ }
+ }
+ fnextself(spintet);
+ if (spintet.tet == neightet.tet) break;
+ }
+ if (j == 0) {
+ // Not found such a face.
+ assert(0); // debug this case.
+ }
+ neightet = spintet;
+ if (b->verbose > 3) {
+ printf(" Cut tet (%d, %d, %d, %d)\n",
+ pointmark(org(neightet)), pointmark(dest(neightet)),
+ pointmark(apex(neightet)), pointmark(oppo(neightet)));
+ }
+ uninfect(neightet);
+ unmarktest(neightet);
+ cutcount++;
+ neightet.ver = epivot[neightet.ver];
+ cavebdrylist->newindex((void **) &parytet);
+ *parytet = neightet;
+ // Add three new faces to find new boundaries.
+ for (j = 0; j < 3; j++) {
+ esym(neightet, neineitet);
+ neineitet.ver = epivot[neineitet.ver];
+ cavebdrylist->newindex((void **) &parytet);
+ *parytet = neineitet;
+ enextself(neightet);
+ }
+ }
+ }
+ } // i
+ } // if (ivf->respectbdflag)
+
+ // Update the cavity by removing invisible faces until it is star-shaped.
+ for (i = 0; i < cavebdrylist->objects; i++) {
+ cavetet = (triface *) fastlookup(cavebdrylist, i);
+ // 'cavetet' is an exterior tet adjacent to the cavity.
+ // Check if its neighbor is inside C(p).
+ fsym(*cavetet, neightet);
+ if (infected(neightet)) {
+ if (apex(*cavetet) != dummypoint) {
+ // It is a cavity boundary face. Check its visibility.
+ if (oppo(neightet) != dummypoint) {
+ ori = orient3d(org(*cavetet), dest(*cavetet), apex(*cavetet),
+ insertpt);
+ enqflag = (ori > 0);
+ // Comment: if ori == 0 (coplanar case), we also cut the tet.
+ } else {
+ // It is a hull face. And its adjacent tet (at inside of the
+ // domain) has been cut from the cavity. Cut it as well.
+ //assert(nonconvex);
+ enqflag = false;
+ }
+ } else {
+ enqflag = true; // A hull edge.
+ }
+ if (enqflag) {
+ // This face is valid, save it.
+ cavetetlist->newindex((void **) &parytet);
+ *parytet = *cavetet;
+ } else {
+ uninfect(neightet);
+ unmarktest(neightet);
+ cutcount++;
+ // Add three new faces to find new boundaries.
+ for (j = 0; j < 3; j++) {
+ esym(neightet, neineitet);
+ neineitet.ver = epivot[neineitet.ver];
+ cavebdrylist->newindex((void **) &parytet);
+ *parytet = neineitet;
+ enextself(neightet);
+ }
+ // 'cavetet' is not on the cavity boundary anymore.
+ unmarktest(*cavetet);
+ }
+ } else {
+ // 'cavetet' is not on the cavity boundary anymore.
+ unmarktest(*cavetet);
+ }
+ } // i
+
+ if (cutcount > 0) {
+ // The cavity has been updated.
+ // Update the cavity boundary faces.
+ cavebdrylist->restart();
+ for (i = 0; i < cavetetlist->objects; i++) {
+ cavetet = (triface *) fastlookup(cavetetlist, i);
+ // 'cavetet' was an exterior tet adjacent to the cavity.
+ fsym(*cavetet, neightet);
+ if (infected(neightet)) {
+ // It is a cavity boundary face.
+ cavebdrylist->newindex((void **) &parytet);
+ *parytet = *cavetet;
+ } else {
+ // Not a cavity boundary face.
+ unmarktest(*cavetet);
+ }
+ }
+
+ // Update the list of old tets.
+ cavetetlist->restart();
+ for (i = 0; i < caveoldtetlist->objects; i++) {
+ cavetet = (triface *) fastlookup(caveoldtetlist, i);
+ if (infected(*cavetet)) {
+ cavetetlist->newindex((void **) &parytet);
+ *parytet = *cavetet;
+ }
+ }
+ // Swap 'cavetetlist' and 'caveoldtetlist'.
+ swaplist = caveoldtetlist;
+ caveoldtetlist = cavetetlist;
+ cavetetlist = swaplist;
+
+ // The cavity should contain at least one tet.
+ if (caveoldtetlist->objects == 0l) {
+ insertpoint_abort(splitseg, ivf);
+ ivf->iloc = (int) BADELEMENT;
+ return 0;
+ }
+
+ if (ivf->splitbdflag) {
+ int cutshcount = 0;
+ // Update the sub-cavity sC(p).
+ for (i = 0; i < caveshlist->objects; i++) {
+ parysh = (face *) fastlookup(caveshlist, i);
+ if (smarktested(*parysh)) {
+ enqflag = false;
+ stpivot(*parysh, neightet);
+ if (infected(neightet)) {
+ fsymself(neightet);
+ if (infected(neightet)) {
+ enqflag = true;
+ }
+ }
+ if (!enqflag) {
+ sunmarktest(*parysh);
+ // Use the last entry of this array to fill this entry.
+ j = caveshlist->objects - 1;
+ checksh = * (face *) fastlookup(caveshlist, j);
+ *parysh = checksh;
+ cutshcount++;
+ caveshlist->objects--; // The list is shrinked.
+ i--;
+ }
+ }
+ }
+
+ if (cutshcount > 0) {
+ i = 0; // Count the number of invalid subfaces/segments.
+ // Valid the updated sub-cavity sC(p).
+ if (loc == ONFACE) {
+ if ((splitsh != NULL) && (splitsh->sh != NULL)) {
+ // The to-be split subface should be in sC(p).
+ if (!smarktested(*splitsh)) i++;
+ }
+ } else if (loc == ONEDGE) {
+ if ((splitseg != NULL) && (splitseg->sh != NULL)) {
+ // The to-be split segment should be in sC(p).
+ if (!smarktested(*splitseg)) i++;
+ }
+ if ((splitsh != NULL) && (splitsh->sh != NULL)) {
+ // All subfaces at this edge should be in sC(p).
+ pa = sorg(*splitsh);
+ neighsh = *splitsh;
+ while (1) {
+ // Adjust the origin of its edge to be 'pa'.
+ if (sorg(neighsh) != pa) {
+ sesymself(neighsh);
+ }
+ // Add this face into list (in B-W cavity).
+ if (!smarktested(neighsh)) i++;
+ // Go to the next face at the edge.
+ spivotself(neighsh);
+ // Stop if all faces at the edge have been visited.
+ if (neighsh.sh == splitsh->sh) break;
+ if (neighsh.sh == NULL) break;
+ } // while (1)
+ }
+ }
+
+ if (i > 0) {
+ // The updated sC(p) is invalid. Do not insert this vertex.
+ insertpoint_abort(splitseg, ivf);
+ ivf->iloc = (int) BADELEMENT;
+ return 0;
+ }
+ } // if (cutshcount > 0)
+ } // if (ivf->splitbdflag)
+ } // if (cutcount > 0)
+
+ } // if (ivf->validflag)
+
+ if (ivf->refineflag) {
+ // The new point is inserted by Delaunay refinement, i.e., it is the
+ // circumcenter of a tetrahedron, or a subface, or a segment.
+ // Do not insert this point if the tetrahedron, or subface, or segment
+ // is not inside the final cavity.
+ if (((ivf->refineflag == 1) && !infected(ivf->refinetet)) ||
+ ((ivf->refineflag == 2) && !smarktested(ivf->refinesh))) {
+ insertpoint_abort(splitseg, ivf);
+ ivf->iloc = (int) BADELEMENT;
+ return 0;
+ }
+ } // if (ivf->refineflag)
+
+ if (b->plc && (loc != INSTAR)) {
+ // Reject the new point if it lies too close to an existing point (b->plc),
+ // or it lies inside a protecting ball of near vertex (ivf->rejflag & 4).
+ // Collect the list of vertices of the initial cavity.
+ if (loc == OUTSIDE) {
+ pts = (point *) &(searchtet->tet[4]);
+ for (i = 0; i < 3; i++) {
+ cavetetvertlist->newindex((void **) &parypt);
+ *parypt = pts[i];
+ }
+ } else if (loc == INTETRAHEDRON) {
+ pts = (point *) &(searchtet->tet[4]);
+ for (i = 0; i < 4; i++) {
+ cavetetvertlist->newindex((void **) &parypt);
+ *parypt = pts[i];
+ }
+ } else if (loc == ONFACE) {
+ pts = (point *) &(searchtet->tet[4]);
+ for (i = 0; i < 3; i++) {
+ cavetetvertlist->newindex((void **) &parypt);
+ *parypt = pts[i];
+ }
+ if (pts[3] != dummypoint) {
+ cavetetvertlist->newindex((void **) &parypt);
+ *parypt = pts[3];
+ }
+ fsym(*searchtet, spintet);
+ if (oppo(spintet) != dummypoint) {
+ cavetetvertlist->newindex((void **) &parypt);
+ *parypt = oppo(spintet);
+ }
+ } else if (loc == ONEDGE) {
+ spintet = *searchtet;
+ cavetetvertlist->newindex((void **) &parypt);
+ *parypt = org(spintet);
+ cavetetvertlist->newindex((void **) &parypt);
+ *parypt = dest(spintet);
+ while (1) {
+ if (apex(spintet) != dummypoint) {
+ cavetetvertlist->newindex((void **) &parypt);
+ *parypt = apex(spintet);
+ }
+ fnextself(spintet);
+ if (spintet.tet == searchtet->tet) break;
+ }
+ }
+
+ int rejptflag = (ivf->rejflag & 4);
+ REAL rd;
+ pts = NULL;
+
+ for (i = 0; i < cavetetvertlist->objects; i++) {
+ parypt = (point *) fastlookup(cavetetvertlist, i);
+ rd = distance(*parypt, insertpt);
+ // Is the point very close to an existing point?
+ if (rd < b->minedgelength) {
+ pts = parypt;
+ loc = NEARVERTEX;
+ break;
+ }
+ if (rejptflag) {
+ // Is the point encroaches upon an existing point?
+ if (rd < (0.5 * (*parypt)[pointmtrindex])) {
+ pts = parypt;
+ loc = ENCVERTEX;
+ break;
+ }
+ }
+ }
+ cavetetvertlist->restart(); // Clear the work list.
+
+ if (pts != NULL) {
+ // The point is either too close to an existing vertex (NEARVERTEX)
+ // or encroaches upon (inside the protecting ball) of that vertex.
+ if (loc == NEARVERTEX) {
+ if (b->nomergevertex) { // -M0/1 option.
+ // In this case, we still insert this vertex. Although it is very
+ // close to an existing vertex. Give a warning, anyway.
+ Msg::Warning("Warning: Two points, %d and %d, are very close.",
+ pointmark(insertpt), pointmark(*pts));
+ Msg::Warning(" Creating a very short edge (len = %g) (< %g).",
+ rd, b->minedgelength);
+ Msg::Warning(" You may try a smaller tolerance (-T) (current is %g)",
+ b->epsilon);
+ Msg::Warning(" to avoid this warning.");
+ } else {
+ insertpt[3] = rd; // Only for reporting.
+ setpoint2ppt(insertpt, *pts);
+ insertpoint_abort(splitseg, ivf);
+ ivf->iloc = (int) loc;
+ return 0;
+ }
+ } else { // loc == ENCVERTEX
+ // The point lies inside the protection ball.
+ setpoint2ppt(insertpt, *pts);
+ insertpoint_abort(splitseg, ivf);
+ ivf->iloc = (int) loc;
+ return 0;
+ }
+ }
+} // if (b->plc && (loc != INSTAR))
+
+ if (b->weighted || ivf->cdtflag || ivf->smlenflag
+ ) {
+ // There may be other vertices inside C(p). We need to find them.
+ // Collect all vertices of C(p).
+ for (i = 0; i < caveoldtetlist->objects; i++) {
+ cavetet = (triface *) fastlookup(caveoldtetlist, i);
+ //assert(infected(*cavetet));
+ pts = (point *) &(cavetet->tet[4]);
+ for (j = 0; j < 4; j++) {
+ if (pts[j] != dummypoint) {
+ if (!pinfected(pts[j])) {
+ pinfect(pts[j]);
+ cavetetvertlist->newindex((void **) &parypt);
+ *parypt = pts[j];
+ }
+ }
+ } // j
+ } // i
+ // Uninfect all collected (cavity) vertices.
+ for (i = 0; i < cavetetvertlist->objects; i++) {
+ parypt = (point *) fastlookup(cavetetvertlist, i);
+ puninfect(*parypt);
+ }
+ if (ivf->smlenflag) {
+ REAL len;
+ // Get the length of the shortest edge connecting to 'newpt'.
+ parypt = (point *) fastlookup(cavetetvertlist, 0);
+ ivf->smlen = distance(*parypt, insertpt);
+ ivf->parentpt = *parypt;
+ for (i = 1; i < cavetetvertlist->objects; i++) {
+ parypt = (point *) fastlookup(cavetetvertlist, i);
+ len = distance(*parypt, insertpt);
+ if (len < ivf->smlen) {
+ ivf->smlen = len;
+ ivf->parentpt = *parypt;
+ }
+ }
+ }
+ }
+
+
+ if (ivf->cdtflag) {
+ // Unmark tets.
+ for (i = 0; i < caveoldtetlist->objects; i++) {
+ cavetet = (triface *) fastlookup(caveoldtetlist, i);
+ unmarktest(*cavetet);
+ }
+ for (i = 0; i < cavebdrylist->objects; i++) {
+ cavetet = (triface *) fastlookup(cavebdrylist, i);
+ unmarktest(*cavetet);
+ }
+ // Clean up arrays which are not needed.
+ cavetetlist->restart();
+ if (checksubsegflag) {
+ cavetetseglist->restart();
+ }
+ if (checksubfaceflag) {
+ cavetetshlist->restart();
+ }
+ return 1;
+ }
+
+ // Before re-mesh C(p). Process the segments and subfaces which are on the
+ // boundary of C(p). Make sure that each such segment or subface is
+ // connecting to a tet outside C(p). So we can re-connect them to the
+ // new tets inside the C(p) later.
+
+ if (checksubsegflag) {
+ for (i = 0; i < cavetetseglist->objects; i++) {
+ paryseg = (face *) fastlookup(cavetetseglist, i);
+ // Operate on it if it is not the splitting segment, i.e., in sC(p).
+ if (!smarktested(*paryseg)) {
+ // Check if the segment is inside the cavity.
+ // 'j' counts the num of adjacent tets of this seg.
+ // 'k' counts the num of adjacent tets which are 'sinfected'.
+ j = k = 0;
+ sstpivot1(*paryseg, neightet);
+ spintet = neightet;
+ while (1) {
+ j++;
+ if (!infected(spintet)) {
+ neineitet = spintet; // An outer tet. Remember it.
+ } else {
+ k++; // An in tet.
+ }
+ fnextself(spintet);
+ if (spintet.tet == neightet.tet) break;
+ }
+ // assert(j > 0);
+ if (k == 0) {
+ // The segment is not connect to C(p) anymore. Remove it by
+ // Replacing it by the last entry of this list.
+ s = cavetetseglist->objects - 1;
+ checkseg = * (face *) fastlookup(cavetetseglist, s);
+ *paryseg = checkseg;
+ cavetetseglist->objects--;
+ i--;
+ } else if (k < j) {
+ // The segment is on the boundary of C(p).
+ sstbond1(*paryseg, neineitet);
+ } else { // k == j
+ // The segment is inside C(p).
+ if (!ivf->splitbdflag) {
+ checkseg = *paryseg;
+ sinfect(checkseg); // Flag it as an interior segment.
+ caveencseglist->newindex((void **) &paryseg);
+ *paryseg = checkseg;
+ } else {
+ assert(0); // Not possible.
+ }
+ }
+ } else {
+ // assert(smarktested(*paryseg));
+ // Flag it as an interior segment. Do not queue it, since it will
+ // be deleted after the segment splitting.
+ sinfect(*paryseg);
+ }
+ } // i
+ } // if (checksubsegflag)
+
+ if (checksubfaceflag) {
+ for (i = 0; i < cavetetshlist->objects; i++) {
+ parysh = (face *) fastlookup(cavetetshlist, i);
+ // Operate on it if it is not inside the sub-cavity sC(p).
+ if (!smarktested(*parysh)) {
+ // Check if this subface is inside the cavity.
+ k = 0;
+ for (j = 0; j < 2; j++) {
+ stpivot(*parysh, neightet);
+ if (!infected(neightet)) {
+ checksh = *parysh; // Remember this side.
+ } else {
+ k++;
+ }
+ sesymself(*parysh);
+ }
+ if (k == 0) {
+ // The subface is not connected to C(p). Remove it.
+ s = cavetetshlist->objects - 1;
+ checksh = * (face *) fastlookup(cavetetshlist, s);
+ *parysh = checksh;
+ cavetetshlist->objects--;
+ i--;
+ } else if (k == 1) {
+ // This side is the outer boundary of C(p).
+ *parysh = checksh;
+ } else { // k == 2
+ if (!ivf->splitbdflag) {
+ checksh = *parysh;
+ sinfect(checksh); // Flag it.
+ caveencshlist->newindex((void **) &parysh);
+ *parysh = checksh;
+ } else {
+ assert(0); // Not possible.
+ }
+ }
+ } else {
+ // assert(smarktested(*parysh));
+ // Flag it as an interior subface. Do not queue it. It will be
+ // deleted after the facet point insertion.
+ sinfect(*parysh);
+ }
+ } // i
+ } // if (checksubfaceflag)
+
+ // Create new tetrahedra to fill the cavity.
+
+ for (i = 0; i < cavebdrylist->objects; i++) {
+ cavetet = (triface *) fastlookup(cavebdrylist, i);
+ neightet = *cavetet;
+ unmarktest(neightet); // Unmark it.
+ // Get the oldtet (inside the cavity).
+ fsym(neightet, oldtet);
+ if (apex(neightet) != dummypoint) {
+ // Create a new tet in the cavity.
+ maketetrahedron(&newtet);
+ setorg(newtet, dest(neightet));
+ setdest(newtet, org(neightet));
+ setapex(newtet, apex(neightet));
+ setoppo(newtet, insertpt);
+ } else {
+ // Create a new hull tet.
+ hullsize++;
+ maketetrahedron(&newtet);
+ setorg(newtet, org(neightet));
+ setdest(newtet, dest(neightet));
+ setapex(newtet, insertpt);
+ setoppo(newtet, dummypoint); // It must opposite to face 3.
+ // Adjust back to the cavity bounday face.
+ esymself(newtet);
+ }
+ // The new tet inherits attribtes from the old tet.
+ for (j = 0; j < numelemattrib; j++) {
+ attrib = elemattribute(oldtet.tet, j);
+ setelemattribute(newtet.tet, j, attrib);
+ }
+ if (b->varvolume) {
+ volume = volumebound(oldtet.tet);
+ setvolumebound(newtet.tet, volume);
+ }
+ // Connect newtet <==> neightet, this also disconnect the old bond.
+ bond(newtet, neightet);
+ // oldtet still connects to neightet.
+ *cavetet = oldtet; // *cavetet = newtet;
+ } // i
+
+ // Set a handle for speeding point location.
+ recenttet = newtet;
+ //setpoint2tet(insertpt, encode(newtet));
+ setpoint2tet(insertpt, (tetrahedron) (newtet.tet));
+
+ // Re-use this list to save new interior cavity faces.
+ cavetetlist->restart();
+
+ // Connect adjacent new tetrahedra together.
+ for (i = 0; i < cavebdrylist->objects; i++) {
+ cavetet = (triface *) fastlookup(cavebdrylist, i);
+ // cavtet is an oldtet, get the newtet at this face.
+ oldtet = *cavetet;
+ fsym(oldtet, neightet);
+ fsym(neightet, newtet);
+ // Comment: oldtet and newtet must be at the same directed edge.
+ // Connect the three other faces of this newtet.
+ for (j = 0; j < 3; j++) {
+ esym(newtet, neightet); // Go to the face.
+ if (neightet.tet[neightet.ver & 3] == NULL) {
+ // Find the adjacent face of this newtet.
+ spintet = oldtet;
+ while (1) {
+ fnextself(spintet);
+ if (!infected(spintet)) break;
+ }
+ fsym(spintet, newneitet);
+ esymself(newneitet);
+ assert(newneitet.tet[newneitet.ver & 3] == NULL);
+ bond(neightet, newneitet);
+ if (ivf->lawson > 1) {
+ cavetetlist->newindex((void **) &parytet);
+ *parytet = neightet;
+ }
+ }
+ //setpoint2tet(org(newtet), encode(newtet));
+ setpoint2tet(org(newtet), (tetrahedron) (newtet.tet));
+ enextself(newtet);
+ enextself(oldtet);
+ }
+ *cavetet = newtet; // Save the new tet.
+ } // i
+
+ if (checksubfaceflag) {
+ // Connect subfaces on the boundary of the cavity to the new tets.
+ for (i = 0; i < cavetetshlist->objects; i++) {
+ parysh = (face *) fastlookup(cavetetshlist, i);
+ // Connect it if it is not a missing subface.
+ if (!sinfected(*parysh)) {
+ stpivot(*parysh, neightet);
+ fsym(neightet, spintet);
+ sesymself(*parysh);
+ tsbond(spintet, *parysh);
+ }
+ }
+ }
+
+ if (checksubsegflag) {
+ // Connect segments on the boundary of the cavity to the new tets.
+ for (i = 0; i < cavetetseglist->objects; i++) {
+ paryseg = (face *) fastlookup(cavetetseglist, i);
+ // Connect it if it is not a missing segment.
+ if (!sinfected(*paryseg)) {
+ sstpivot1(*paryseg, neightet);
+ spintet = neightet;
+ while (1) {
+ tssbond1(spintet, *paryseg);
+ fnextself(spintet);
+ if (spintet.tet == neightet.tet) break;
+ }
+ }
+ }
+ }
+
+ if (((splitsh != NULL) && (splitsh->sh != NULL)) ||
+ ((splitseg != NULL) && (splitseg->sh != NULL))) {
+ // Split a subface or a segment.
+ sinsertvertex(insertpt, splitsh, splitseg, ivf->sloc, ivf->sbowywat, 0);
+ }
+
+ if (checksubfaceflag) {
+ if (ivf->splitbdflag) {
+ // Recover new subfaces in C(p).
+ for (i = 0; i < caveshbdlist->objects; i++) {
+ // Get an old subface at edge [a, b].
+ parysh = (face *) fastlookup(caveshbdlist, i);
+ spivot(*parysh, checksh); // The new subface [a, b, p].
+ // Do not recover a deleted new face (degenerated).
+ if (checksh.sh[3] != NULL) {
+ // Note that the old subface still connects to adjacent old tets
+ // of C(p), which still connect to the tets outside C(p).
+ stpivot(*parysh, neightet);
+ assert(infected(neightet));
+ // Find the adjacent tet containing the edge [a,b] outside C(p).
+ spintet = neightet;
+ while (1) {
+ fnextself(spintet);
+ if (!infected(spintet)) break;
+ assert(spintet.tet != neightet.tet);
+ }
+ // The adjacent tet connects to a new tet in C(p).
+ fsym(spintet, neightet);
+ assert(!infected(neightet));
+ // Find the tet containing the face [a, b, p].
+ spintet = neightet;
+ while (1) {
+ fnextself(spintet);
+ if (apex(spintet) == insertpt) break;
+ assert(spintet.tet != neightet.tet);
+ }
+ // Adjust the edge direction in spintet and checksh.
+ if (sorg(checksh) != org(spintet)) {
+ sesymself(checksh);
+ assert(sorg(checksh) == org(spintet));
+ }
+ assert(sdest(checksh) == dest(spintet));
+ // Connect the subface to two adjacent tets.
+ tsbond(spintet, checksh);
+ fsymself(spintet);
+ sesymself(checksh);
+ tsbond(spintet, checksh);
+ } // if (checksh.sh[3] != NULL)
+ }
+ // There should be no missing interior subfaces in C(p).
+ assert(caveencshlist->objects == 0l);
+ } else {
+ // The Boundary recovery phase.
+ // Put all new subfaces into stack for recovery.
+ for (i = 0; i < caveshbdlist->objects; i++) {
+ // Get an old subface at edge [a, b].
+ parysh = (face *) fastlookup(caveshbdlist, i);
+ spivot(*parysh, checksh); // The new subface [a, b, p].
+ // Do not recover a deleted new face (degenerated).
+ if (checksh.sh[3] != NULL) {
+ subfacstack->newindex((void **) &parysh);
+ *parysh = checksh;
+ }
+ }
+ // Put all interior subfaces into stack for recovery.
+ for (i = 0; i < caveencshlist->objects; i++) {
+ parysh = (face *) fastlookup(caveencshlist, i);
+ assert(sinfected(*parysh));
+ // Some subfaces inside C(p) might be split in sinsertvertex().
+ // Only queue those faces which are not split.
+ if (!smarktested(*parysh)) {
+ checksh = *parysh;
+ suninfect(checksh);
+ stdissolve(checksh); // Detach connections to old tets.
+ subfacstack->newindex((void **) &parysh);
+ *parysh = checksh;
+ }
+ }
+ }
+ } // if (checksubfaceflag)
+
+ if (checksubsegflag) {
+ if (ivf->splitbdflag) {
+ if (splitseg != NULL) {
+ // Recover the two new subsegments in C(p).
+ for (i = 0; i < cavesegshlist->objects; i++) {
+ paryseg = (face *) fastlookup(cavesegshlist, i);
+ // Insert this subsegment into C(p).
+ checkseg = *paryseg;
+ // Get the adjacent new subface.
+ checkseg.shver = 0;
+ spivot(checkseg, checksh);
+ if (checksh.sh != NULL) {
+ // Get the adjacent new tetrahedron.
+ stpivot(checksh, neightet);
+ } else {
+ // It's a dangling segment.
+ point2tetorg(sorg(checkseg), neightet);
+ finddirection(&neightet, sdest(checkseg));
+ assert(dest(neightet) == sdest(checkseg));
+ }
+ assert(!infected(neightet));
+ sstbond1(checkseg, neightet);
+ spintet = neightet;
+ while (1) {
+ tssbond1(spintet, checkseg);
+ fnextself(spintet);
+ if (spintet.tet == neightet.tet) break;
+ }
+ }
+ } // if (splitseg != NULL)
+ // There should be no interior segment in C(p).
+ assert(caveencseglist->objects == 0l);
+ } else {
+ // The Boundary Recovery Phase.
+ // Queue missing segments in C(p) for recovery.
+ if (splitseg != NULL) {
+ // Queue two new subsegments in C(p) for recovery.
+ for (i = 0; i < cavesegshlist->objects; i++) {
+ paryseg = (face *) fastlookup(cavesegshlist, i);
+ checkseg = *paryseg;
+ //sstdissolve1(checkseg); // It has not been connected yet.
+ s = randomnation(subsegstack->objects + 1);
+ subsegstack->newindex((void **) &paryseg);
+ *paryseg = * (face *) fastlookup(subsegstack, s);
+ paryseg = (face *) fastlookup(subsegstack, s);
+ *paryseg = checkseg;
+ }
+ } // if (splitseg != NULL)
+ for (i = 0; i < caveencseglist->objects; i++) {
+ paryseg = (face *) fastlookup(caveencseglist, i);
+ assert(sinfected(*paryseg));
+ if (!smarktested(*paryseg)) { // It may be split.
+ checkseg = *paryseg;
+ suninfect(checkseg);
+ sstdissolve1(checkseg); // Detach connections to old tets.
+ s = randomnation(subsegstack->objects + 1);
+ subsegstack->newindex((void **) &paryseg);
+ *paryseg = * (face *) fastlookup(subsegstack, s);
+ paryseg = (face *) fastlookup(subsegstack, s);
+ *paryseg = checkseg;
+ }
+ }
+ }
+ } // if (checksubsegflag)
+
+ if (b->weighted
+ ) {
+ // Some vertices may be completed inside the cavity. They must be
+ // detected and added to recovering list.
+ // Since every "live" vertex must contain a pointer to a non-dead
+ // tetrahedron, we can check for each vertex this pointer.
+ for (i = 0; i < cavetetvertlist->objects; i++) {
+ pts = (point *) fastlookup(cavetetvertlist, i);
+ decode(point2tet(*pts), *searchtet);
+ assert(searchtet->tet != NULL); // No tet has been deleted yet.
+ if (infected(*searchtet)) {
+ if (b->weighted) {
+ Msg::Debug(" Point #%d is non-regular after the insertion of #%d.",
+ pointmark(*pts), pointmark(insertpt));
+ setpointtype(*pts, NREGULARVERTEX);
+ nonregularcount++;
+ }
+ }
+ }
+ }
+
+ if (ivf->chkencflag & 1) {
+ // Queue all segment outside C(p).
+ for (i = 0; i < cavetetseglist->objects; i++) {
+ paryseg = (face *) fastlookup(cavetetseglist, i);
+ // Skip if it is the split segment.
+ if (!sinfected(*paryseg)) {
+ //enqueuesubface(badsubsegs, paryseg);
+ }
+ }
+ if (splitseg != NULL) {
+ // Queue the two new subsegments inside C(p).
+ for (i = 0; i < cavesegshlist->objects; i++) {
+ paryseg = (face *) fastlookup(cavesegshlist, i);
+ //enqueuesubface(badsubsegs, paryseg);
+ }
+ }
+ } // if (chkencflag & 1)
+
+ if (ivf->chkencflag & 2) {
+ // Queue all subfaces outside C(p).
+ for (i = 0; i < cavetetshlist->objects; i++) {
+ parysh = (face *) fastlookup(cavetetshlist, i);
+ // Skip if it is a split subface.
+ if (!sinfected(*parysh)) {
+ //enqueuesubface(badsubfacs, parysh);
+ }
+ }
+ // Queue all new subfaces inside C(p).
+ for (i = 0; i < caveshbdlist->objects; i++) {
+ // Get an old subface at edge [a, b].
+ parysh = (face *) fastlookup(caveshbdlist, i);
+ spivot(*parysh, checksh); // checksh is a new subface [a, b, p].
+ // Do not recover a deleted new face (degenerated).
+ if (checksh.sh[3] != NULL) {
+ //enqueuesubface(badsubfacs, &checksh);
+ }
+ }
+ } // if (chkencflag & 2)
+
+ if (ivf->chkencflag & 4) {
+ // Queue all new tetrahedra in C(p).
+ for (i = 0; i < cavebdrylist->objects; i++) {
+ cavetet = (triface *) fastlookup(cavebdrylist, i);
+ //enqueuetetrahedron(cavetet);
+ }
+ }
+
+ // C(p) is re-meshed successfully.
+
+ // Delete the old tets in C(p).
+ for (i = 0; i < caveoldtetlist->objects; i++) {
+ searchtet = (triface *) fastlookup(caveoldtetlist, i);
+ if (ishulltet(*searchtet)) {
+ hullsize--;
+ }
+ tetrahedrondealloc(searchtet->tet);
+ }
+
+ if (((splitsh != NULL) && (splitsh->sh != NULL)) ||
+ ((splitseg != NULL) && (splitseg->sh != NULL))) {
+ // Delete the old subfaces in sC(p).
+ for (i = 0; i < caveshlist->objects; i++) {
+ parysh = (face *) fastlookup(caveshlist, i);
+ if (checksubfaceflag) {//if (bowywat == 2) {
+ // It is possible that this subface still connects to adjacent
+ // tets which are not in C(p). If so, clear connections in the
+ // adjacent tets at this subface.
+ stpivot(*parysh, neightet);
+ if (neightet.tet != NULL) {
+ if (neightet.tet[4] != NULL) {
+ // Found an adjacent tet. It must be not in C(p).
+ assert(!infected(neightet));
+ tsdissolve(neightet);
+ fsymself(neightet);
+ assert(!infected(neightet));
+ tsdissolve(neightet);
+ }
+ }
+ }
+ shellfacedealloc(subfaces, parysh->sh);
+ }
+ if ((splitseg != NULL) && (splitseg->sh != NULL)) {
+ // Delete the old segment in sC(p).
+ shellfacedealloc(subsegs, splitseg->sh);
+ }
+ }
+
+ if (ivf->lawson) {
+ for (i = 0; i < cavebdrylist->objects; i++) {
+ searchtet = (triface *) fastlookup(cavebdrylist, i);
+ flippush(flipstack, searchtet);
+ }
+ if (ivf->lawson > 1) {
+ for (i = 0; i < cavetetlist->objects; i++) {
+ searchtet = (triface *) fastlookup(cavetetlist, i);
+ flippush(flipstack, searchtet);
+ }
+ }
+ }
+
+
+ // Clean the working lists.
+
+ caveoldtetlist->restart();
+ cavebdrylist->restart();
+ cavetetlist->restart();
+
+ if (checksubsegflag) {
+ cavetetseglist->restart();
+ caveencseglist->restart();
+ }
+
+ if (checksubfaceflag) {
+ cavetetshlist->restart();
+ caveencshlist->restart();
+ }
+
+ if (b->weighted || ivf->validflag) {
+ cavetetvertlist->restart();
+ }
+
+ if (((splitsh != NULL) && (splitsh->sh != NULL)) ||
+ ((splitseg != NULL) && (splitseg->sh != NULL))) {
+ caveshlist->restart();
+ caveshbdlist->restart();
+ cavesegshlist->restart();
+ }
+
+ return 1; // Point is inserted.
+}
+
+void meshGRegionBoundaryRecovery::insertpoint_abort(face *splitseg, insertvertexflags *ivf)
+{
+ triface *cavetet;
+ face *parysh;
+ int i;
+
+ for (i = 0; i < caveoldtetlist->objects; i++) {
+ cavetet = (triface *) fastlookup(caveoldtetlist, i);
+ uninfect(*cavetet);
+ unmarktest(*cavetet);
+ }
+ for (i = 0; i < cavebdrylist->objects; i++) {
+ cavetet = (triface *) fastlookup(cavebdrylist, i);
+ unmarktest(*cavetet);
+ }
+ cavetetlist->restart();
+ cavebdrylist->restart();
+ caveoldtetlist->restart();
+ cavetetseglist->restart();
+ cavetetshlist->restart();
+ if (ivf->splitbdflag) {
+ if ((splitseg != NULL) && (splitseg->sh != NULL)) {
+ sunmarktest(*splitseg);
+ }
+ for (i = 0; i < caveshlist->objects; i++) {
+ parysh = (face *) fastlookup(caveshlist, i);
+ assert(smarktested(*parysh));
+ sunmarktest(*parysh);
+ }
+ caveshlist->restart();
+ cavesegshlist->restart();
+ }
+}
+
+//// ////
+//// ////
+//// flip_cxx /////////////////////////////////////////////////////////////////
+
+///////////////////////////////////////////////////////////////////////////////
+// //
+// hilbert_init() Initialize the Gray code permutation table. //
+// //
+// The table 'transgc' has 8 x 3 x 8 entries. It contains all possible Gray //
+// code sequences traveled by the 1st order Hilbert curve in 3 dimensions. //
+// The first column is the Gray code of the entry point of the curve, and //
+// the second column is the direction (0, 1, or 2, 0 means the x-axis) where //
+// the exit point of curve lies. //
+// //
+// The table 'tsb1mod3' contains the numbers of trailing set '1' bits of the //
+// indices from 0 to 7, modulo by '3'. The code for generating this table is //
+// from: http://graphics.stanford.edu/~seander/bithacks.html. //
+// //
+///////////////////////////////////////////////////////////////////////////////
+
+void meshGRegionBoundaryRecovery::hilbert_init(int n)
+{
+ int gc[8], N, mask, travel_bit;
+ int e, d, f, k, g;
+ int v, c;
+ int i;
+
+ N = (n == 2) ? 4 : 8;
+ mask = (n == 2) ? 3 : 7;
+
+ // Generate the Gray code sequence.
+ for (i = 0; i < N; i++) {
+ gc[i] = i ^ (i >> 1);
+ }
+
+ for (e = 0; e < N; e++) {
+ for (d = 0; d < n; d++) {
+ // Calculate the end point (f).
+ f = e ^ (1 << d); // Toggle the d-th bit of 'e'.
+ // travel_bit = 2**p, the bit we want to travel.
+ travel_bit = e ^ f;
+ for (i = 0; i < N; i++) {
+ // // Rotate gc[i] left by (p + 1) % n bits.
+ k = gc[i] * (travel_bit * 2);
+ g = ((k | (k / N)) & mask);
+ // Calculate the permuted Gray code by xor with the start point (e).
+ transgc[e][d][i] = (g ^ e);
+ }
+ assert(transgc[e][d][0] == e);
+ assert(transgc[e][d][N - 1] == f);
+ } // d
+ } // e
+
+ // Count the consecutive '1' bits (trailing) on the right.
+ tsb1mod3[0] = 0;
+ for (i = 1; i < N; i++) {
+ v = ~i; // Count the 0s.
+ v = (v ^ (v - 1)) >> 1; // Set v's trailing 0s to 1s and zero rest
+ for (c = 0; v; c++) {
+ v >>= 1;
+ }
+ tsb1mod3[i] = c % n;
+ }
+}
+
+///////////////////////////////////////////////////////////////////////////////
+// //
+// hilbert_sort3() Sort points using the 3d Hilbert curve. //
+// //
+///////////////////////////////////////////////////////////////////////////////
+
+int meshGRegionBoundaryRecovery::hilbert_split(point* vertexarray,int arraysize,int gc0,int gc1,
+ REAL bxmin, REAL bxmax, REAL bymin, REAL bymax,
+ REAL bzmin, REAL bzmax)
+{
+ point swapvert;
+ int axis, d;
+ REAL split;
+ int i, j;
+
+
+ // Find the current splitting axis. 'axis' is a value 0, or 1, or 2, which
+ // correspoding to x-, or y- or z-axis.
+ axis = (gc0 ^ gc1) >> 1;
+
+ // Calulate the split position along the axis.
+ if (axis == 0) {
+ split = 0.5 * (bxmin + bxmax);
+ } else if (axis == 1) {
+ split = 0.5 * (bymin + bymax);
+ } else { // == 2
+ split = 0.5 * (bzmin + bzmax);
+ }
+
+ // Find the direction (+1 or -1) of the axis. If 'd' is +1, the direction
+ // of the axis is to the positive of the axis, otherwise, it is -1.
+ d = ((gc0 & (1<<axis)) == 0) ? 1 : -1;
+
+
+ // Partition the vertices into left- and right-arrays such that left points
+ // have Hilbert indices lower than the right points.
+ i = 0;
+ j = arraysize - 1;
+
+ // Partition the vertices into left- and right-arrays.
+ if (d > 0) {
+ do {
+ for (; i < arraysize; i++) {
+ if (vertexarray[i][axis] >= split) break;
+ }
+ for (; j >= 0; j--) {
+ if (vertexarray[j][axis] < split) break;
+ }
+ // Is the partition finished?
+ if (i == (j + 1)) break;
+ // Swap i-th and j-th vertices.
+ swapvert = vertexarray[i];
+ vertexarray[i] = vertexarray[j];
+ vertexarray[j] = swapvert;
+ // Continue patitioning the array;
+ } while (true);
+ } else {
+ do {
+ for (; i < arraysize; i++) {
+ if (vertexarray[i][axis] <= split) break;
+ }
+ for (; j >= 0; j--) {
+ if (vertexarray[j][axis] > split) break;
+ }
+ // Is the partition finished?
+ if (i == (j + 1)) break;
+ // Swap i-th and j-th vertices.
+ swapvert = vertexarray[i];
+ vertexarray[i] = vertexarray[j];
+ vertexarray[j] = swapvert;
+ // Continue patitioning the array;
+ } while (true);
+ }
+
+ return i;
+}
+
+void meshGRegionBoundaryRecovery::hilbert_sort3(point* vertexarray, int arraysize, int e, int d,
+ REAL bxmin, REAL bxmax, REAL bymin, REAL bymax,
+ REAL bzmin, REAL bzmax, int depth)
+{
+ REAL x1, x2, y1, y2, z1, z2;
+ int p[9], w, e_w, d_w, k, ei, di;
+ int n = 3, mask = 7;
+
+ p[0] = 0;
+ p[8] = arraysize;
+
+ // Sort the points according to the 1st order Hilbert curve in 3d.
+ p[4] = hilbert_split(vertexarray, p[8], transgc[e][d][3], transgc[e][d][4],
+ bxmin, bxmax, bymin, bymax, bzmin, bzmax);
+ p[2] = hilbert_split(vertexarray, p[4], transgc[e][d][1], transgc[e][d][2],
+ bxmin, bxmax, bymin, bymax, bzmin, bzmax);
+ p[1] = hilbert_split(vertexarray, p[2], transgc[e][d][0], transgc[e][d][1],
+ bxmin, bxmax, bymin, bymax, bzmin, bzmax);
+ p[3] = hilbert_split(&(vertexarray[p[2]]), p[4] - p[2],
+ transgc[e][d][2], transgc[e][d][3],
+ bxmin, bxmax, bymin, bymax, bzmin, bzmax) + p[2];
+ p[6] = hilbert_split(&(vertexarray[p[4]]), p[8] - p[4],
+ transgc[e][d][5], transgc[e][d][6],
+ bxmin, bxmax, bymin, bymax, bzmin, bzmax) + p[4];
+ p[5] = hilbert_split(&(vertexarray[p[4]]), p[6] - p[4],
+ transgc[e][d][4], transgc[e][d][5],
+ bxmin, bxmax, bymin, bymax, bzmin, bzmax) + p[4];
+ p[7] = hilbert_split(&(vertexarray[p[6]]), p[8] - p[6],
+ transgc[e][d][6], transgc[e][d][7],
+ bxmin, bxmax, bymin, bymax, bzmin, bzmax) + p[6];
+
+ if (b->hilbert_order > 0) {
+ // A maximum order is prescribed.
+ if ((depth + 1) == b->hilbert_order) {
+ // The maximum prescribed order is reached.
+ return;
+ }
+ }
+
+ // Recursively sort the points in sub-boxes.
+ for (w = 0; w < 8; w++) {
+ // w is the local Hilbert index (NOT Gray code).
+ // Sort into the sub-box either there are more than 2 points in it, or
+ // the prescribed order of the curve is not reached yet.
+ //if ((p[w+1] - p[w] > b->hilbert_limit) || (b->hilbert_order > 0)) {
+ if ((p[w+1] - p[w]) > b->hilbert_limit) {
+ // Calculcate the start point (ei) of the curve in this sub-box.
+ // update e = e ^ (e(w) left_rotate (d+1)).
+ if (w == 0) {
+ e_w = 0;
+ } else {
+ // calculate e(w) = gc(2 * floor((w - 1) / 2)).
+ k = 2 * ((w - 1) / 2);
+ e_w = k ^ (k >> 1); // = gc(k).
+ }
+ k = e_w;
+ e_w = ((k << (d+1)) & mask) | ((k >> (n-d-1)) & mask);
+ ei = e ^ e_w;
+ // Calulcate the direction (di) of the curve in this sub-box.
+ // update d = (d + d(w) + 1) % n
+ if (w == 0) {
+ d_w = 0;
+ } else {
+ d_w = ((w % 2) == 0) ? tsb1mod3[w - 1] : tsb1mod3[w];
+ }
+ di = (d + d_w + 1) % n;
+ // Calculate the bounding box of the sub-box.
+ if (transgc[e][d][w] & 1) { // x-axis
+ x1 = 0.5 * (bxmin + bxmax);
+ x2 = bxmax;
+ } else {
+ x1 = bxmin;
+ x2 = 0.5 * (bxmin + bxmax);
+ }
+ if (transgc[e][d][w] & 2) { // y-axis
+ y1 = 0.5 * (bymin + bymax);
+ y2 = bymax;
+ } else {
+ y1 = bymin;
+ y2 = 0.5 * (bymin + bymax);
+ }
+ if (transgc[e][d][w] & 4) { // z-axis
+ z1 = 0.5 * (bzmin + bzmax);
+ z2 = bzmax;
+ } else {
+ z1 = bzmin;
+ z2 = 0.5 * (bzmin + bzmax);
+ }
+ hilbert_sort3(&(vertexarray[p[w]]), p[w+1] - p[w], ei, di,
+ x1, x2, y1, y2, z1, z2, depth+1);
+ } // if (p[w+1] - p[w] > 1)
+ } // w
+}
+
+///////////////////////////////////////////////////////////////////////////////
+// //
+// brio_multiscale_sort() Sort the points using BRIO and Hilbert curve. //
+// //
+///////////////////////////////////////////////////////////////////////////////
+
+void meshGRegionBoundaryRecovery::brio_multiscale_sort(point* vertexarray, int arraysize,
+ int threshold, REAL ratio, int *depth)
+{
+ int middle;
+
+ middle = 0;
+ if (arraysize >= threshold) {
+ (*depth)++;
+ middle = arraysize * ratio;
+ brio_multiscale_sort(vertexarray, middle, threshold, ratio, depth);
+ }
+ // Sort the right-array (rnd-th round) using the Hilbert curve.
+ hilbert_sort3(&(vertexarray[middle]), arraysize - middle, 0, 0, // e, d
+ xmin, xmax, ymin, ymax, zmin, zmax, 0); // depth.
+}
+
+///////////////////////////////////////////////////////////////////////////////
+// //
+// randomnation() Generate a random number between 0 and 'choices' - 1. //
+// //
+///////////////////////////////////////////////////////////////////////////////
+
+unsigned long meshGRegionBoundaryRecovery::randomnation(unsigned int choices)
+{
+ unsigned long newrandom;
+
+ if (choices >= 714025l) {
+ newrandom = (randomseed * 1366l + 150889l) % 714025l;
+ randomseed = (newrandom * 1366l + 150889l) % 714025l;
+ newrandom = newrandom * (choices / 714025l) + randomseed;
+ if (newrandom >= choices) {
+ return newrandom - choices;
+ } else {
+ return newrandom;
+ }
+ } else {
+ randomseed = (randomseed * 1366l + 150889l) % 714025l;
+ return randomseed % choices;
+ }
+}
+
+///////////////////////////////////////////////////////////////////////////////
+// //
+// randomsample() Randomly sample the tetrahedra for point loation. //
+// //
+// Searching begins from one of handles: the input 'searchtet', a recently //
+// encountered tetrahedron 'recenttet', or from one chosen from a random //
+// sample. The choice is made by determining which one's origin is closest //
+// to the point we are searching for. //
+// //
+///////////////////////////////////////////////////////////////////////////////
+
+void meshGRegionBoundaryRecovery::randomsample(point searchpt,triface *searchtet)
+{
+ tetrahedron *firsttet, *tetptr;
+ point torg;
+ void **sampleblock;
+ uintptr_t alignptr;
+ long sampleblocks, samplesperblock, samplenum;
+ long tetblocks, i, j;
+ REAL searchdist, dist;
+
+ if (b->verbose > 2) {
+ printf(" Random sampling tetrahedra for searching point %d.\n",
+ pointmark(searchpt));
+ }
+
+ if (!nonconvex) {
+ if (searchtet->tet == NULL) {
+ // A null tet. Choose the recenttet as the starting tet.
+ *searchtet = recenttet;
+ // Recenttet should not be dead.
+ assert(recenttet.tet[4] != NULL);
+ }
+
+ // 'searchtet' should be a valid tetrahedron. Choose the base face
+ // whose vertices must not be 'dummypoint'.
+ searchtet->ver = 3;
+ // Record the distance from its origin to the searching point.
+ torg = org(*searchtet);
+ searchdist = (searchpt[0] - torg[0]) * (searchpt[0] - torg[0]) +
+ (searchpt[1] - torg[1]) * (searchpt[1] - torg[1]) +
+ (searchpt[2] - torg[2]) * (searchpt[2] - torg[2]);
+
+ // If a recently encountered tetrahedron has been recorded and has not
+ // been deallocated, test it as a good starting point.
+ if (recenttet.tet != searchtet->tet) {
+ recenttet.ver = 3;
+ torg = org(recenttet);
+ dist = (searchpt[0] - torg[0]) * (searchpt[0] - torg[0]) +
+ (searchpt[1] - torg[1]) * (searchpt[1] - torg[1]) +
+ (searchpt[2] - torg[2]) * (searchpt[2] - torg[2]);
+ if (dist < searchdist) {
+ *searchtet = recenttet;
+ searchdist = dist;
+ }
+ }
+ } else {
+ // The mesh is non-convex. Do not use 'recenttet'.
+ assert(samples >= 1l); // Make sure at least 1 sample.
+ searchdist = longest;
+ }
+
+ // Select "good" candidate using k random samples, taking the closest one.
+ // The number of random samples taken is proportional to the fourth root
+ // of the number of tetrahedra in the mesh.
+ while (samples * samples * samples * samples < tetrahedrons->items) {
+ samples++;
+ }
+ // Find how much blocks in current tet pool.
+ tetblocks = (tetrahedrons->maxitems + b->tetrahedraperblock - 1)
+ / b->tetrahedraperblock;
+ // Find the average samples per block. Each block at least have 1 sample.
+ samplesperblock = 1 + (samples / tetblocks);
+ sampleblocks = samples / samplesperblock;
+ sampleblock = tetrahedrons->firstblock;
+ for (i = 0; i < sampleblocks; i++) {
+ alignptr = (uintptr_t) (sampleblock + 1);
+ firsttet = (tetrahedron *)
+ (alignptr + (uintptr_t) tetrahedrons->alignbytes
+ - (alignptr % (uintptr_t) tetrahedrons->alignbytes));
+ for (j = 0; j < samplesperblock; j++) {
+ if (i == tetblocks - 1) {
+ // This is the last block.
+ samplenum = randomnation((int)
+ (tetrahedrons->maxitems - (i * b->tetrahedraperblock)));
+ } else {
+ samplenum = randomnation(b->tetrahedraperblock);
+ }
+ tetptr = (tetrahedron *)
+ (firsttet + (samplenum * tetrahedrons->itemwords));
+ torg = (point) tetptr[4];
+ if (torg != (point) NULL) {
+ dist = (searchpt[0] - torg[0]) * (searchpt[0] - torg[0]) +
+ (searchpt[1] - torg[1]) * (searchpt[1] - torg[1]) +
+ (searchpt[2] - torg[2]) * (searchpt[2] - torg[2]);
+ if (dist < searchdist) {
+ searchtet->tet = tetptr;
+ searchtet->ver = 11; // torg = org(t);
+ searchdist = dist;
+ }
+ } else {
+ // A dead tet. Re-sample it.
+ if (i != tetblocks - 1) j--;
+ }
+ }
+ sampleblock = (void **) *sampleblock;
+ }
+}
+
+///////////////////////////////////////////////////////////////////////////////
+// //
+// locate() Find a tetrahedron containing a given point. //
+// //
+// Begins its search from 'searchtet', assume there is a line segment L from //
+// a vertex of 'searchtet' to the query point 'searchpt', and simply walk //
+// towards 'searchpt' by traversing all faces intersected by L. //
+// //
+// On completion, 'searchtet' is a tetrahedron that contains 'searchpt'. The //
+// returned value indicates one of the following cases: //
+// - ONVERTEX, the search point lies on the origin of 'searchtet'. //
+// - ONEDGE, the search point lies on an edge of 'searchtet'. //
+// - ONFACE, the search point lies on a face of 'searchtet'. //
+// - INTET, the search point lies in the interior of 'searchtet'. //
+// - OUTSIDE, the search point lies outside the mesh. 'searchtet' is a //
+// hull face which is visible by the search point. //
+// //
+// WARNING: This routine is designed for convex triangulations, and will not //
+// generally work after the holes and concavities have been carved. //
+// //
+///////////////////////////////////////////////////////////////////////////////
+
+enum meshGRegionBoundaryRecovery::locateresult meshGRegionBoundaryRecovery::locate(point searchpt,
+ triface* searchtet)
+{
+ point torg, tdest, tapex, toppo;
+ enum {ORGMOVE, DESTMOVE, APEXMOVE} nextmove;
+ REAL ori, oriorg, oridest, oriapex;
+ enum locateresult loc = OUTSIDE;
+ int t1ver;
+ int s;
+
+ if (searchtet->tet == NULL) {
+ // A null tet. Choose the recenttet as the starting tet.
+ searchtet->tet = recenttet.tet;
+ }
+
+ // Check if we are in the outside of the convex hull.
+ if (ishulltet(*searchtet)) {
+ // Get its adjacent tet (inside the hull).
+ searchtet->ver = 3;
+ fsymself(*searchtet);
+ }
+
+ // Let searchtet be the face such that 'searchpt' lies above to it.
+ for (searchtet->ver = 0; searchtet->ver < 4; searchtet->ver++) {
+ torg = org(*searchtet);
+ tdest = dest(*searchtet);
+ tapex = apex(*searchtet);
+ ori = orient3d(torg, tdest, tapex, searchpt);
+ if (ori < 0.0) break;
+ }
+ assert(searchtet->ver != 4);
+
+ // Walk through tetrahedra to locate the point.
+ while (true) {
+
+ toppo = oppo(*searchtet);
+
+ // Check if the vertex is we seek.
+ if (toppo == searchpt) {
+ // Adjust the origin of searchtet to be searchpt.
+ esymself(*searchtet);
+ eprevself(*searchtet);
+ loc = ONVERTEX; // return ONVERTEX;
+ break;
+ }
+
+ // We enter from one of serarchtet's faces, which face do we exit?
+ oriorg = orient3d(tdest, tapex, toppo, searchpt);
+ oridest = orient3d(tapex, torg, toppo, searchpt);
+ oriapex = orient3d(torg, tdest, toppo, searchpt);
+
+ // Now decide which face to move. It is possible there are more than one
+ // faces are viable moves. If so, randomly choose one.
+ if (oriorg < 0) {
+ if (oridest < 0) {
+ if (oriapex < 0) {
+ // All three faces are possible.
+ s = randomnation(3); // 's' is in {0,1,2}.
+ if (s == 0) {
+ nextmove = ORGMOVE;
+ } else if (s == 1) {
+ nextmove = DESTMOVE;
+ } else {
+ nextmove = APEXMOVE;
+ }
+ } else {
+ // Two faces, opposite to origin and destination, are viable.
+ //s = randomnation(2); // 's' is in {0,1}.
+ if (randomnation(2)) {
+ nextmove = ORGMOVE;
+ } else {
+ nextmove = DESTMOVE;
+ }
+ }
+ } else {
+ if (oriapex < 0) {
+ // Two faces, opposite to origin and apex, are viable.
+ //s = randomnation(2); // 's' is in {0,1}.
+ if (randomnation(2)) {
+ nextmove = ORGMOVE;
+ } else {
+ nextmove = APEXMOVE;
+ }
+ } else {
+ // Only the face opposite to origin is viable.
+ nextmove = ORGMOVE;
+ }
+ }
+ } else {
+ if (oridest < 0) {
+ if (oriapex < 0) {
+ // Two faces, opposite to destination and apex, are viable.
+ //s = randomnation(2); // 's' is in {0,1}.
+ if (randomnation(2)) {
+ nextmove = DESTMOVE;
+ } else {
+ nextmove = APEXMOVE;
+ }
+ } else {
+ // Only the face opposite to destination is viable.
+ nextmove = DESTMOVE;
+ }
+ } else {
+ if (oriapex < 0) {
+ // Only the face opposite to apex is viable.
+ nextmove = APEXMOVE;
+ } else {
+ // The point we seek must be on the boundary of or inside this
+ // tetrahedron. Check for boundary cases.
+ if (oriorg == 0) {
+ // Go to the face opposite to origin.
+ enextesymself(*searchtet);
+ if (oridest == 0) {
+ eprevself(*searchtet); // edge oppo->apex
+ if (oriapex == 0) {
+ // oppo is duplicated with p.
+ loc = ONVERTEX; // return ONVERTEX;
+ break;
+ }
+ loc = ONEDGE; // return ONEDGE;
+ break;
+ }
+ if (oriapex == 0) {
+ enextself(*searchtet); // edge dest->oppo
+ loc = ONEDGE; // return ONEDGE;
+ break;
+ }
+ loc = ONFACE; // return ONFACE;
+ break;
+ }
+ if (oridest == 0) {
+ // Go to the face opposite to destination.
+ eprevesymself(*searchtet);
+ if (oriapex == 0) {
+ eprevself(*searchtet); // edge oppo->org
+ loc = ONEDGE; // return ONEDGE;
+ break;
+ }
+ loc = ONFACE; // return ONFACE;
+ break;
+ }
+ if (oriapex == 0) {
+ // Go to the face opposite to apex
+ esymself(*searchtet);
+ loc = ONFACE; // return ONFACE;
+ break;
+ }
+ loc = INTETRAHEDRON; // return INTETRAHEDRON;
+ break;
+ }
+ }
+ }
+
+ // Move to the selected face.
+ if (nextmove == ORGMOVE) {
+ enextesymself(*searchtet);
+ } else if (nextmove == DESTMOVE) {
+ eprevesymself(*searchtet);
+ } else {
+ esymself(*searchtet);
+ }
+ // Move to the adjacent tetrahedron (maybe a hull tetrahedron).
+ fsymself(*searchtet);
+ if (oppo(*searchtet) == dummypoint) {
+ loc = OUTSIDE; // return OUTSIDE;
+ break;
+ }
+
+ // Retreat the three vertices of the base face.
+ torg = org(*searchtet);
+ tdest = dest(*searchtet);
+ tapex = apex(*searchtet);
+
+ } // while (true)
+
+ return loc;
+}
+
+///////////////////////////////////////////////////////////////////////////////
+// //
+// flippush() Push a face (possibly will be flipped) into flipstack. //
+// //
+// The face is marked. The flag is used to check the validity of the face on //
+// its popup. Some other flips may change it already. //
+// //
+///////////////////////////////////////////////////////////////////////////////
+
+void meshGRegionBoundaryRecovery::flippush(badface*& fstack, triface* flipface)
+{
+ if (!facemarked(*flipface)) {
+ badface *newflipface = (badface *) flippool->alloc();
+ newflipface->tt = *flipface;
+ markface(newflipface->tt);
+ // Push this face into stack.
+ newflipface->nextitem = fstack;
+ fstack = newflipface;
+ }
+}
+
+///////////////////////////////////////////////////////////////////////////////
+// //
+// initialdelaunay() Create an initial Delaunay tetrahedralization. //
+// //
+// The tetrahedralization contains only one tetrahedron abcd, and four hull //
+// tetrahedra. The points pa, pb, pc, and pd must be linearly independent. //
+// //
+///////////////////////////////////////////////////////////////////////////////
+
+void meshGRegionBoundaryRecovery::initialdelaunay(point pa, point pb, point pc, point pd)
+{
+ triface firsttet, tetopa, tetopb, tetopc, tetopd;
+ triface worktet, worktet1;
+
+ if (b->verbose > 2) {
+ printf(" Create init tet (%d, %d, %d, %d)\n", pointmark(pa),
+ pointmark(pb), pointmark(pc), pointmark(pd));
+ }
+
+ // Create the first tetrahedron.
+ maketetrahedron(&firsttet);
+ setvertices(firsttet, pa, pb, pc, pd);
+ // Create four hull tetrahedra.
+ maketetrahedron(&tetopa);
+ setvertices(tetopa, pb, pc, pd, dummypoint);
+ maketetrahedron(&tetopb);
+ setvertices(tetopb, pc, pa, pd, dummypoint);
+ maketetrahedron(&tetopc);
+ setvertices(tetopc, pa, pb, pd, dummypoint);
+ maketetrahedron(&tetopd);
+ setvertices(tetopd, pb, pa, pc, dummypoint);
+ hullsize += 4;
+
+ // Connect hull tetrahedra to firsttet (at four faces of firsttet).
+ bond(firsttet, tetopd);
+ esym(firsttet, worktet);
+ bond(worktet, tetopc); // ab
+ enextesym(firsttet, worktet);
+ bond(worktet, tetopa); // bc
+ eprevesym(firsttet, worktet);
+ bond(worktet, tetopb); // ca
+
+ // Connect hull tetrahedra together (at six edges of firsttet).
+ esym(tetopc, worktet);
+ esym(tetopd, worktet1);
+ bond(worktet, worktet1); // ab
+ esym(tetopa, worktet);
+ eprevesym(tetopd, worktet1);
+ bond(worktet, worktet1); // bc
+ esym(tetopb, worktet);
+ enextesym(tetopd, worktet1);
+ bond(worktet, worktet1); // ca
+ eprevesym(tetopc, worktet);
+ enextesym(tetopb, worktet1);
+ bond(worktet, worktet1); // da
+ eprevesym(tetopa, worktet);
+ enextesym(tetopc, worktet1);
+ bond(worktet, worktet1); // db
+ eprevesym(tetopb, worktet);
+ enextesym(tetopa, worktet1);
+ bond(worktet, worktet1); // dc
+
+ // Set the vertex type.
+ if (pointtype(pa) == UNUSEDVERTEX) {
+ setpointtype(pa, VOLVERTEX);
+ }
+ if (pointtype(pb) == UNUSEDVERTEX) {
+ setpointtype(pb, VOLVERTEX);
+ }
+ if (pointtype(pc) == UNUSEDVERTEX) {
+ setpointtype(pc, VOLVERTEX);
+ }
+ if (pointtype(pd) == UNUSEDVERTEX) {
+ setpointtype(pd, VOLVERTEX);
+ }
+
+ setpoint2tet(pa, encode(firsttet));
+ setpoint2tet(pb, encode(firsttet));
+ setpoint2tet(pc, encode(firsttet));
+ setpoint2tet(pd, encode(firsttet));
+
+ // Remember the first tetrahedron.
+ recenttet = firsttet;
+}
+
+//// ////
+//// ////
+//// delaunay_cxx /////////////////////////////////////////////////////////////
+
+//// surface_cxx //////////////////////////////////////////////////////////////
+//// ////
+//// ////
+
+void meshGRegionBoundaryRecovery::flipshpush(face* flipedge)
+{
+ badface *newflipface;
+
+ newflipface = (badface *) flippool->alloc();
+ newflipface->ss = *flipedge;
+ newflipface->forg = sorg(*flipedge);
+ newflipface->fdest = sdest(*flipedge);
+ newflipface->nextitem = flipstack;
+ flipstack = newflipface;
+}
+
+void meshGRegionBoundaryRecovery::flip22(face* flipfaces, int flipflag,
+ int chkencflag)
+{
+ face bdedges[4], outfaces[4], infaces[4];
+ face bdsegs[4];
+ face checkface;
+ point pa, pb, pc, pd;
+ int i;
+
+ pa = sorg(flipfaces[0]);
+ pb = sdest(flipfaces[0]);
+ pc = sapex(flipfaces[0]);
+ pd = sapex(flipfaces[1]);
+
+ if (sorg(flipfaces[1]) != pb) {
+ sesymself(flipfaces[1]);
+ }
+
+ flip22count++;
+
+ // Collect the four boundary edges.
+ senext(flipfaces[0], bdedges[0]);
+ senext2(flipfaces[0], bdedges[1]);
+ senext(flipfaces[1], bdedges[2]);
+ senext2(flipfaces[1], bdedges[3]);
+
+ // Collect outer boundary faces.
+ for (i = 0; i < 4; i++) {
+ spivot(bdedges[i], outfaces[i]);
+ infaces[i] = outfaces[i];
+ sspivot(bdedges[i], bdsegs[i]);
+ if (outfaces[i].sh != NULL) {
+ if (isshsubseg(bdedges[i])) {
+ spivot(infaces[i], checkface);
+ while (checkface.sh != bdedges[i].sh) {
+ infaces[i] = checkface;
+ spivot(infaces[i], checkface);
+ }
+ }
+ }
+ }
+
+ // The flags set in these two subfaces do not change.
+ // Shellmark does not change.
+ // area constraint does not change.
+
+ // Transform [a,b,c] -> [c,d,b].
+ setshvertices(flipfaces[0], pc, pd, pb);
+ // Transform [b,a,d] -> [d,c,a].
+ setshvertices(flipfaces[1], pd, pc, pa);
+
+ // Update the point-to-subface map.
+ if (pointtype(pa) == FREEFACETVERTEX) {
+ setpoint2sh(pa, sencode(flipfaces[1]));
+ }
+ if (pointtype(pb) == FREEFACETVERTEX) {
+ setpoint2sh(pb, sencode(flipfaces[0]));
+ }
+ if (pointtype(pc) == FREEFACETVERTEX) {
+ setpoint2sh(pc, sencode(flipfaces[0]));
+ }
+ if (pointtype(pd) == FREEFACETVERTEX) {
+ setpoint2sh(pd, sencode(flipfaces[0]));
+ }
+
+ // Reconnect boundary edges to outer boundary faces.
+ for (i = 0; i < 4; i++) {
+ if (outfaces[(3 + i) % 4].sh != NULL) {
+ // Make sure that the subface has the ori as the segment.
+ if (bdsegs[(3 + i) % 4].sh != NULL) {
+ bdsegs[(3 + i) % 4].shver = 0;
+ if (sorg(bdedges[i]) != sorg(bdsegs[(3 + i) % 4])) {
+ sesymself(bdedges[i]);
+ }
+ }
+ sbond1(bdedges[i], outfaces[(3 + i) % 4]);
+ sbond1(infaces[(3 + i) % 4], bdedges[i]);
+ } else {
+ sdissolve(bdedges[i]);
+ }
+ if (bdsegs[(3 + i) % 4].sh != NULL) {
+ ssbond(bdedges[i], bdsegs[(3 + i) % 4]);
+ if (chkencflag & 1) {
+ // Queue this segment for encroaching check.
+ //enqueuesubface(badsubsegs, &(bdsegs[(3 + i) % 4]));
+ }
+ } else {
+ ssdissolve(bdedges[i]);
+ }
+ }
+
+ if (chkencflag & 2) {
+ // Queue the flipped subfaces for quality/encroaching checks.
+ for (i = 0; i < 2; i++) {
+ //enqueuesubface(badsubfacs, &(flipfaces[i]));
+ }
+ }
+
+ recentsh = flipfaces[0];
+
+ if (flipflag) {
+ // Put the boundary edges into flip stack.
+ for (i = 0; i < 4; i++) {
+ flipshpush(&(bdedges[i]));
+ }
+ }
+}
+
+void meshGRegionBoundaryRecovery::flip31(face* flipfaces, int flipflag)
+{
+ face bdedges[3], outfaces[3], infaces[3];
+ face bdsegs[3];
+ face checkface;
+ point pa, pb, pc;
+ int i;
+
+ pa = sdest(flipfaces[0]);
+ pb = sdest(flipfaces[1]);
+ pc = sdest(flipfaces[2]);
+
+ flip31count++;
+
+ // Collect all infos at the three boundary edges.
+ for (i = 0; i < 3; i++) {
+ senext(flipfaces[i], bdedges[i]);
+ spivot(bdedges[i], outfaces[i]);
+ infaces[i] = outfaces[i];
+ sspivot(bdedges[i], bdsegs[i]);
+ if (outfaces[i].sh != NULL) {
+ if (isshsubseg(bdedges[i])) {
+ spivot(infaces[i], checkface);
+ while (checkface.sh != bdedges[i].sh) {
+ infaces[i] = checkface;
+ spivot(infaces[i], checkface);
+ }
+ }
+ }
+ } // i
+
+ // Create a new subface.
+ makeshellface(subfaces, &(flipfaces[3]));
+ setshvertices(flipfaces[3], pa, pb,pc);
+ setshellmark(flipfaces[3], shellmark(flipfaces[0]));
+ if (checkconstraints) {
+ //area = areabound(flipfaces[0]);
+ setareabound(flipfaces[3], areabound(flipfaces[0]));
+ }
+ if (useinsertradius) {
+ setfacetindex(flipfaces[3], getfacetindex(flipfaces[0]));
+ }
+
+ // Update the point-to-subface map.
+ if (pointtype(pa) == FREEFACETVERTEX) {
+ setpoint2sh(pa, sencode(flipfaces[3]));
+ }
+ if (pointtype(pb) == FREEFACETVERTEX) {
+ setpoint2sh(pb, sencode(flipfaces[3]));
+ }
+ if (pointtype(pc) == FREEFACETVERTEX) {
+ setpoint2sh(pc, sencode(flipfaces[3]));
+ }
+
+ // Update the three new boundary edges.
+ bdedges[0] = flipfaces[3]; // [a,b]
+ senext(flipfaces[3], bdedges[1]); // [b,c]
+ senext2(flipfaces[3], bdedges[2]); // [c,a]
+
+ // Reconnect boundary edges to outer boundary faces.
+ for (i = 0; i < 3; i++) {
+ if (outfaces[i].sh != NULL) {
+ // Make sure that the subface has the ori as the segment.
+ if (bdsegs[i].sh != NULL) {
+ bdsegs[i].shver = 0;
+ if (sorg(bdedges[i]) != sorg(bdsegs[i])) {
+ sesymself(bdedges[i]);
+ }
+ }
+ sbond1(bdedges[i], outfaces[i]);
+ sbond1(infaces[i], bdedges[i]);
+ }
+ if (bdsegs[i].sh != NULL) {
+ ssbond(bdedges[i], bdsegs[i]);
+ }
+ }
+
+ recentsh = flipfaces[3];
+
+ if (flipflag) {
+ // Put the boundary edges into flip stack.
+ for (i = 0; i < 3; i++) {
+ flipshpush(&(bdedges[i]));
+ }
+ }
+}
+
+long meshGRegionBoundaryRecovery::lawsonflip()
+{
+ badface *popface;
+ face flipfaces[2];
+ point pa, pb, pc, pd;
+ REAL sign;
+ long flipcount = 0;
+
+ if (b->verbose > 2) {
+ printf(" Lawson flip %ld edges.\n", flippool->items);
+ }
+
+ while (flipstack != (badface *) NULL) {
+
+ // Pop an edge from the stack.
+ popface = flipstack;
+ flipfaces[0] = popface->ss;
+ pa = popface->forg;
+ pb = popface->fdest;
+ flipstack = popface->nextitem; // The next top item in stack.
+ flippool->dealloc((void *) popface);
+
+ // Skip it if it is dead.
+ if (flipfaces[0].sh[3] == NULL) continue;
+ // Skip it if it is not the same edge as we saved.
+ if ((sorg(flipfaces[0]) != pa) || (sdest(flipfaces[0]) != pb)) continue;
+ // Skip it if it is a subsegment.
+ if (isshsubseg(flipfaces[0])) continue;
+
+ // Get the adjacent face.
+ spivot(flipfaces[0], flipfaces[1]);
+ if (flipfaces[1].sh == NULL) continue; // Skip a hull edge.
+ pc = sapex(flipfaces[0]);
+ pd = sapex(flipfaces[1]);
+
+ sign = incircle3d(pa, pb, pc, pd);
+
+ if (sign < 0) {
+ // It is non-locally Delaunay. Flip it.
+ flip22(flipfaces, 1, 0);
+ flipcount++;
+ }
+ }
+
+ if (b->verbose > 2) {
+ printf(" Performed %ld flips.\n", flipcount);
+ }
+
+ return flipcount;
+}
+
+int meshGRegionBoundaryRecovery::sinsertvertex(point insertpt, face *searchsh,
+ face *splitseg, int iloc, int bowywat, int rflag)
+{
+ face cavesh, neighsh, *parysh;
+ face newsh, casout, casin;
+ face checkseg;
+ point pa, pb;
+ enum locateresult loc = OUTSIDE;
+ REAL sign, ori;
+ int i, j;
+
+ if (b->verbose > 2) {
+ printf(" Insert facet point %d.\n", pointmark(insertpt));
+ }
+
+ if (bowywat == 3) {
+ loc = INSTAR;
+ }
+
+ if ((splitseg != NULL) && (splitseg->sh != NULL)) {
+ // A segment is going to be split, no point location.
+ spivot(*splitseg, *searchsh);
+ if (loc != INSTAR) loc = ONEDGE;
+ } else {
+ if (loc != INSTAR) loc = (enum locateresult) iloc;
+ if (loc == OUTSIDE) {
+ // Do point location in surface mesh.
+ if (searchsh->sh == NULL) {
+ *searchsh = recentsh;
+ }
+ // Search the vertex. An above point must be provided ('aflag' = 1).
+ loc = slocate(insertpt, searchsh, 1, 1, rflag);
+ }
+ }
+
+
+ // Form the initial sC(p).
+ if (loc == ONFACE) {
+ // Add the face into list (in B-W cavity).
+ smarktest(*searchsh);
+ caveshlist->newindex((void **) &parysh);
+ *parysh = *searchsh;
+ } else if (loc == ONEDGE) {
+ if ((splitseg != NULL) && (splitseg->sh != NULL)) {
+ splitseg->shver = 0;
+ pa = sorg(*splitseg);
+ } else {
+ pa = sorg(*searchsh);
+ }
+ if (searchsh->sh != NULL) {
+ // Collect all subfaces share at this edge.
+ neighsh = *searchsh;
+ while (1) {
+ // Adjust the origin of its edge to be 'pa'.
+ if (sorg(neighsh) != pa) sesymself(neighsh);
+ // Add this face into list (in B-W cavity).
+ smarktest(neighsh);
+ caveshlist->newindex((void **) &parysh);
+ *parysh = neighsh;
+ // Add this face into face-at-splitedge list.
+ cavesegshlist->newindex((void **) &parysh);
+ *parysh = neighsh;
+ // Go to the next face at the edge.
+ spivotself(neighsh);
+ // Stop if all faces at the edge have been visited.
+ if (neighsh.sh == searchsh->sh) break;
+ if (neighsh.sh == NULL) break;
+ }
+ } // If (not a non-dangling segment).
+ } else if (loc == ONVERTEX) {
+ return (int) loc;
+ } else if (loc == OUTSIDE) {
+ // Comment: This should only happen during the surface meshing step.
+ // Enlarge the convex hull of the triangulation by including p.
+ // An above point of the facet is set in 'dummypoint' to replace
+ // orient2d tests by orient3d tests.
+ // Imagine that the current edge a->b (in 'searchsh') is horizontal in a
+ // plane, and a->b is directed from left to right, p lies above a->b.
+ // Find the right-most edge of the triangulation which is visible by p.
+ neighsh = *searchsh;
+ while (1) {
+ senext2self(neighsh);
+ spivot(neighsh, casout);
+ if (casout.sh == NULL) {
+ // A convex hull edge. Is it visible by p.
+ ori = orient3d(sorg(neighsh), sdest(neighsh), dummypoint, insertpt);
+ if (ori < 0) {
+ *searchsh = neighsh; // Visible, update 'searchsh'.
+ } else {
+ break; // 'searchsh' is the right-most visible edge.
+ }
+ } else {
+ if (sorg(casout) != sdest(neighsh)) sesymself(casout);
+ neighsh = casout;
+ }
+ }
+ // Create new triangles for all visible edges of p (from right to left).
+ casin.sh = NULL; // No adjacent face at right.
+ pa = sorg(*searchsh);
+ pb = sdest(*searchsh);
+ while (1) {
+ // Create a new subface on top of the (visible) edge.
+ makeshellface(subfaces, &newsh);
+ setshvertices(newsh, pb, pa, insertpt);
+ setshellmark(newsh, shellmark(*searchsh));
+ if (checkconstraints) {
+ //area = areabound(*searchsh);
+ setareabound(newsh, areabound(*searchsh));
+ }
+ if (useinsertradius) {
+ setfacetindex(newsh, getfacetindex(*searchsh));
+ }
+ // Connect the new subface to the bottom subfaces.
+ sbond1(newsh, *searchsh);
+ sbond1(*searchsh, newsh);
+ // Connect the new subface to its right-adjacent subface.
+ if (casin.sh != NULL) {
+ senext(newsh, casout);
+ sbond1(casout, casin);
+ sbond1(casin, casout);
+ }
+ // The left-adjacent subface has not been created yet.
+ senext2(newsh, casin);
+ // Add the new face into list (inside the B-W cavity).
+ smarktest(newsh);
+ caveshlist->newindex((void **) &parysh);
+ *parysh = newsh;
+ // Move to the convex hull edge at the left of 'searchsh'.
+ neighsh = *searchsh;
+ while (1) {
+ senextself(neighsh);
+ spivot(neighsh, casout);
+ if (casout.sh == NULL) {
+ *searchsh = neighsh;
+ break;
+ }
+ if (sorg(casout) != sdest(neighsh)) sesymself(casout);
+ neighsh = casout;
+ }
+ // A convex hull edge. Is it visible by p.
+ pa = sorg(*searchsh);
+ pb = sdest(*searchsh);
+ ori = orient3d(pa, pb, dummypoint, insertpt);
+ // Finish the process if p is not visible by the hull edge.
+ if (ori >= 0) break;
+ }
+ } else if (loc == INSTAR) {
+ // Under this case, the sub-cavity sC(p) has already been formed in
+ // insertvertex().
+ }
+
+ // Form the Bowyer-Watson cavity sC(p).
+ for (i = 0; i < caveshlist->objects; i++) {
+ cavesh = * (face *) fastlookup(caveshlist, i);
+ for (j = 0; j < 3; j++) {
+ if (!isshsubseg(cavesh)) {
+ spivot(cavesh, neighsh);
+ if (neighsh.sh != NULL) {
+ // The adjacent face exists.
+ if (!smarktested(neighsh)) {
+ if (bowywat) {
+ if (loc == INSTAR) { // if (bowywat > 2) {
+ // It must be a boundary edge.
+ sign = 1;
+ } else {
+ // Check if this subface is connected to adjacent tet(s).
+ if (!isshtet(neighsh)) {
+ // Check if the subface is non-Delaunay wrt. the new pt.
+ sign = incircle3d(sorg(neighsh), sdest(neighsh),
+ sapex(neighsh), insertpt);
+ } else {
+ // It is connected to an adjacent tet. A boundary edge.
+ sign = 1;
+ }
+ }
+ if (sign < 0) {
+ // Add the adjacent face in list (in B-W cavity).
+ smarktest(neighsh);
+ caveshlist->newindex((void **) &parysh);
+ *parysh = neighsh;
+ }
+ } else {
+ sign = 1; // A boundary edge.
+ }
+ } else {
+ sign = -1; // Not a boundary edge.
+ }
+ } else {
+ // No adjacent face. It is a hull edge.
+ if (loc == OUTSIDE) {
+ // It is a boundary edge if it does not contain p.
+ if ((sorg(cavesh) == insertpt) || (sdest(cavesh) == insertpt)) {
+ sign = -1; // Not a boundary edge.
+ } else {
+ sign = 1; // A boundary edge.
+ }
+ } else {
+ sign = 1; // A boundary edge.
+ }
+ }
+ } else {
+ // Do not across a segment. It is a boundary edge.
+ sign = 1;
+ }
+ if (sign >= 0) {
+ // Add a boundary edge.
+ caveshbdlist->newindex((void **) &parysh);
+ *parysh = cavesh;
+ }
+ senextself(cavesh);
+ } // j
+ } // i
+
+
+ // Creating new subfaces.
+ for (i = 0; i < caveshbdlist->objects; i++) {
+ parysh = (face *) fastlookup(caveshbdlist, i);
+ sspivot(*parysh, checkseg);
+ if ((parysh->shver & 01) != 0) sesymself(*parysh);
+ pa = sorg(*parysh);
+ pb = sdest(*parysh);
+ // Create a new subface.
+ makeshellface(subfaces, &newsh);
+ setshvertices(newsh, pa, pb, insertpt);
+ setshellmark(newsh, shellmark(*parysh));
+ if (checkconstraints) {
+ //area = areabound(*parysh);
+ setareabound(newsh, areabound(*parysh));
+ }
+ if (useinsertradius) {
+ setfacetindex(newsh, getfacetindex(*parysh));
+ }
+ // Update the point-to-subface map.
+ if (pointtype(pa) == FREEFACETVERTEX) {
+ setpoint2sh(pa, sencode(newsh));
+ }
+ if (pointtype(pb) == FREEFACETVERTEX) {
+ setpoint2sh(pb, sencode(newsh));
+ }
+ // Connect newsh to outer subfaces.
+ spivot(*parysh, casout);
+ if (casout.sh != NULL) {
+ casin = casout;
+ if (checkseg.sh != NULL) {
+ // Make sure that newsh has the right ori at this segment.
+ checkseg.shver = 0;
+ if (sorg(newsh) != sorg(checkseg)) {
+ sesymself(newsh);
+ sesymself(*parysh); // This side should also be inverse.
+ }
+ spivot(casin, neighsh);
+ while (neighsh.sh != parysh->sh) {
+ casin = neighsh;
+ spivot(casin, neighsh);
+ }
+ }
+ sbond1(newsh, casout);
+ sbond1(casin, newsh);
+ }
+ if (checkseg.sh != NULL) {
+ ssbond(newsh, checkseg);
+ }
+ // Connect oldsh <== newsh (for connecting adjacent new subfaces).
+ // *parysh and newsh point to the same edge and the same ori.
+ sbond1(*parysh, newsh);
+ }
+
+ if (newsh.sh != NULL) {
+ // Set a handle for searching.
+ recentsh = newsh;
+ }
+
+ // Update the point-to-subface map.
+ if (pointtype(insertpt) == FREEFACETVERTEX) {
+ setpoint2sh(insertpt, sencode(newsh));
+ }
+
+ // Connect adjacent new subfaces together.
+ for (i = 0; i < caveshbdlist->objects; i++) {
+ // Get an old subface at edge [a, b].
+ parysh = (face *) fastlookup(caveshbdlist, i);
+ spivot(*parysh, newsh); // The new subface [a, b, p].
+ senextself(newsh); // At edge [b, p].
+ spivot(newsh, neighsh);
+ if (neighsh.sh == NULL) {
+ // Find the adjacent new subface at edge [b, p].
+ pb = sdest(*parysh);
+ neighsh = *parysh;
+ while (1) {
+ senextself(neighsh);
+ spivotself(neighsh);
+ if (neighsh.sh == NULL) break;
+ if (!smarktested(neighsh)) break;
+ if (sdest(neighsh) != pb) sesymself(neighsh);
+ }
+ if (neighsh.sh != NULL) {
+ // Now 'neighsh' is a new subface at edge [b, #].
+ if (sorg(neighsh) != pb) sesymself(neighsh);
+ senext2self(neighsh); // Go to the open edge [p, b].
+ sbond(newsh, neighsh);
+ } else {
+ // There is no adjacent new face at this side.
+ assert(loc == OUTSIDE); // SELF_CHECK
+ }
+ }
+ spivot(*parysh, newsh); // The new subface [a, b, p].
+ senext2self(newsh); // At edge [p, a].
+ spivot(newsh, neighsh);
+ if (neighsh.sh == NULL) {
+ // Find the adjacent new subface at edge [p, a].
+ pa = sorg(*parysh);
+ neighsh = *parysh;
+ while (1) {
+ senext2self(neighsh);
+ spivotself(neighsh);
+ if (neighsh.sh == NULL) break;
+ if (!smarktested(neighsh)) break;
+ if (sorg(neighsh) != pa) sesymself(neighsh);
+ }
+ if (neighsh.sh != NULL) {
+ // Now 'neighsh' is a new subface at edge [#, a].
+ if (sdest(neighsh) != pa) sesymself(neighsh);
+ senextself(neighsh); // Go to the open edge [a, p].
+ sbond(newsh, neighsh);
+ } else {
+ // There is no adjacent new face at this side.
+ assert(loc == OUTSIDE); // SELF_CHECK
+ }
+ }
+ }
+
+ if ((loc == ONEDGE) || ((splitseg != NULL) && (splitseg->sh != NULL))
+ || (cavesegshlist->objects > 0l)) {
+ // An edge is being split. We distinguish two cases:
+ // (1) the edge is not on the boundary of the cavity;
+ // (2) the edge is on the boundary of the cavity.
+ // In case (2), the edge is either a segment or a hull edge. There are
+ // degenerated new faces in the cavity. They must be removed.
+ face aseg, bseg, aoutseg, boutseg;
+
+ for (i = 0; i < cavesegshlist->objects; i++) {
+ // Get the saved old subface.
+ parysh = (face *) fastlookup(cavesegshlist, i);
+ // Get a possible new degenerated subface.
+ spivot(*parysh, cavesh);
+ if (sapex(cavesh) == insertpt) {
+ // Found a degenerated new subface, i.e., case (2).
+ if (cavesegshlist->objects > 1) {
+ // There are more than one subface share at this edge.
+ j = (i + 1) % (int) cavesegshlist->objects;
+ parysh = (face *) fastlookup(cavesegshlist, j);
+ spivot(*parysh, neighsh);
+ // Adjust cavesh and neighsh both at edge a->b, and has p as apex.
+ if (sorg(neighsh) != sorg(cavesh)) {
+ sesymself(neighsh);
+ assert(sorg(neighsh) == sorg(cavesh)); // SELF_CHECK
+ }
+ assert(sapex(neighsh) == insertpt); // SELF_CHECK
+ // Connect adjacent faces at two other edges of cavesh and neighsh.
+ // As a result, the two degenerated new faces are squeezed from the
+ // new triangulation of the cavity. Note that the squeezed faces
+ // still hold the adjacent informations which will be used in
+ // re-connecting subsegments (if they exist).
+ for (j = 0; j < 2; j++) {
+ senextself(cavesh);
+ senextself(neighsh);
+ spivot(cavesh, newsh);
+ spivot(neighsh, casout);
+ sbond1(newsh, casout); // newsh <- casout.
+ }
+ } else {
+ // There is only one subface containing this edge [a,b]. Squeeze the
+ // degenerated new face [a,b,c] by disconnecting it from its two
+ // adjacent subfaces at edges [b,c] and [c,a]. Note that the face
+ // [a,b,c] still hold the connection to them.
+ for (j = 0; j < 2; j++) {
+ senextself(cavesh);
+ spivot(cavesh, newsh);
+ sdissolve(newsh);
+ }
+ }
+ //recentsh = newsh;
+ // Update the point-to-subface map.
+ if (pointtype(insertpt) == FREEFACETVERTEX) {
+ setpoint2sh(insertpt, sencode(newsh));
+ }
+ }
+ }
+
+ if ((splitseg != NULL) && (splitseg->sh != NULL)) {
+ if (loc != INSTAR) { // if (bowywat < 3) {
+ smarktest(*splitseg); // Mark it as being processed.
+ }
+
+ aseg = *splitseg;
+ pa = sorg(*splitseg);
+ pb = sdest(*splitseg);
+
+ // Insert the new point p.
+ makeshellface(subsegs, &aseg);
+ makeshellface(subsegs, &bseg);
+
+ setshvertices(aseg, pa, insertpt, NULL);
+ setshvertices(bseg, insertpt, pb, NULL);
+ setshellmark(aseg, shellmark(*splitseg));
+ setshellmark(bseg, shellmark(*splitseg));
+ if (checkconstraints) {
+ setareabound(aseg, areabound(*splitseg));
+ setareabound(bseg, areabound(*splitseg));
+ }
+ if (useinsertradius) {
+ setfacetindex(aseg, getfacetindex(*splitseg));
+ setfacetindex(bseg, getfacetindex(*splitseg));
+ }
+
+ // Connect [#, a]<->[a, p].
+ senext2(*splitseg, boutseg); // Temporarily use boutseg.
+ spivotself(boutseg);
+ if (boutseg.sh != NULL) {
+ senext2(aseg, aoutseg);
+ sbond(boutseg, aoutseg);
+ }
+ // Connect [p, b]<->[b, #].
+ senext(*splitseg, aoutseg);
+ spivotself(aoutseg);
+ if (aoutseg.sh != NULL) {
+ senext(bseg, boutseg);
+ sbond(boutseg, aoutseg);
+ }
+ // Connect [a, p] <-> [p, b].
+ senext(aseg, aoutseg);
+ senext2(bseg, boutseg);
+ sbond(aoutseg, boutseg);
+
+ // Connect subsegs [a, p] and [p, b] to adjacent new subfaces.
+ // Although the degenerated new faces have been squeezed. They still
+ // hold the connections to the actual new faces.
+ for (i = 0; i < cavesegshlist->objects; i++) {
+ parysh = (face *) fastlookup(cavesegshlist, i);
+ spivot(*parysh, neighsh);
+ // neighsh is a degenerated new face.
+ if (sorg(neighsh) != pa) {
+ sesymself(neighsh);
+ }
+ senext2(neighsh, newsh);
+ spivotself(newsh); // The edge [p, a] in newsh
+ ssbond(newsh, aseg);
+ senext(neighsh, newsh);
+ spivotself(newsh); // The edge [b, p] in newsh
+ ssbond(newsh, bseg);
+ }
+
+
+ // Let the point remember the segment it lies on.
+ if (pointtype(insertpt) == FREESEGVERTEX) {
+ setpoint2sh(insertpt, sencode(aseg));
+ }
+ // Update the point-to-seg map.
+ if (pointtype(pa) == FREESEGVERTEX) {
+ setpoint2sh(pa, sencode(aseg));
+ }
+ if (pointtype(pb) == FREESEGVERTEX) {
+ setpoint2sh(pb, sencode(bseg));
+ }
+ } // if ((splitseg != NULL) && (splitseg->sh != NULL))
+
+ // Delete all degenerated new faces.
+ for (i = 0; i < cavesegshlist->objects; i++) {
+ parysh = (face *) fastlookup(cavesegshlist, i);
+ spivotself(*parysh);
+ if (sapex(*parysh) == insertpt) {
+ shellfacedealloc(subfaces, parysh->sh);
+ }
+ }
+ cavesegshlist->restart();
+
+ if ((splitseg != NULL) && (splitseg->sh != NULL)) {
+ // Return the two new subsegments (for further process).
+ // Re-use 'cavesegshlist'.
+ cavesegshlist->newindex((void **) &parysh);
+ *parysh = aseg;
+ cavesegshlist->newindex((void **) &parysh);
+ *parysh = bseg;
+ }
+ } // if (loc == ONEDGE)
+
+
+ return (int) loc;
+}
+
+int meshGRegionBoundaryRecovery::sremovevertex(point delpt, face* parentsh,
+ face* parentseg, int lawson)
+{
+ face flipfaces[4], spinsh, *parysh;
+ point pa, pb, pc, pd;
+ REAL ori1, ori2;
+ int it, i, j;
+
+ if (parentseg != NULL) {
+ // 'delpt' (p) should be a Steiner point inserted in a segment [a,b],
+ // where 'parentseg' should be [p,b]. Find the segment [a,p].
+ face startsh, neighsh, nextsh;
+ face abseg, prevseg, checkseg;
+ face adjseg1, adjseg2;
+ face fakesh;
+ senext2(*parentseg, prevseg);
+ spivotself(prevseg);
+ prevseg.shver = 0;
+ assert(sdest(prevseg) == delpt);
+ // Restore the original segment [a,b].
+ pa = sorg(prevseg);
+ pb = sdest(*parentseg);
+ if (b->verbose > 2) {
+ printf(" Remove vertex %d from segment [%d, %d].\n",
+ pointmark(delpt), pointmark(pa), pointmark(pb));
+ }
+ makeshellface(subsegs, &abseg);
+ setshvertices(abseg, pa, pb, NULL);
+ setshellmark(abseg, shellmark(*parentseg));
+ if (checkconstraints) {
+ setareabound(abseg, areabound(*parentseg));
+ }
+ if (useinsertradius) {
+ setfacetindex(abseg, getfacetindex(*parentseg));
+ }
+ // Connect [#, a]<->[a, b].
+ senext2(prevseg, adjseg1);
+ spivotself(adjseg1);
+ if (adjseg1.sh != NULL) {
+ adjseg1.shver = 0;
+ assert(sdest(adjseg1) == pa);
+ senextself(adjseg1);
+ senext2(abseg, adjseg2);
+ sbond(adjseg1, adjseg2);
+ }
+ // Connect [a, b]<->[b, #].
+ senext(*parentseg, adjseg1);
+ spivotself(adjseg1);
+ if (adjseg1.sh != NULL) {
+ adjseg1.shver = 0;
+ assert(sorg(adjseg1) == pb);
+ senext2self(adjseg1);
+ senext(abseg, adjseg2);
+ sbond(adjseg1, adjseg2);
+ }
+ // Update the point-to-segment map.
+ setpoint2sh(pa, sencode(abseg));
+ setpoint2sh(pb, sencode(abseg));
+
+ // Get the faces in face ring at segment [p, b].
+ // Re-use array 'caveshlist'.
+ spivot(*parentseg, *parentsh);
+ if (parentsh->sh != NULL) {
+ spinsh = *parentsh;
+ while (1) {
+ // Save this face in list.
+ caveshlist->newindex((void **) &parysh);
+ *parysh = spinsh;
+ // Go to the next face in the ring.
+ spivotself(spinsh);
+ if (spinsh.sh == parentsh->sh) break;
+ }
+ }
+
+ // Create the face ring of the new segment [a,b]. Each face in the ring
+ // is [a,b,p] (degenerated!). It will be removed (automatically).
+ for (i = 0; i < caveshlist->objects; i++) {
+ parysh = (face *) fastlookup(caveshlist, i);
+ startsh = *parysh;
+ if (sorg(startsh) != delpt) {
+ sesymself(startsh);
+ assert(sorg(startsh) == delpt);
+ }
+ // startsh is [p, b, #1], find the subface [a, p, #2].
+ neighsh = startsh;
+ while (1) {
+ senext2self(neighsh);
+ sspivot(neighsh, checkseg);
+ if (checkseg.sh != NULL) {
+ // It must be the segment [a, p].
+ assert(checkseg.sh == prevseg.sh);
+ break;
+ }
+ spivotself(neighsh);
+ assert(neighsh.sh != NULL);
+ if (sorg(neighsh) != delpt) sesymself(neighsh);
+ }
+ // Now neighsh is [a, p, #2].
+ if (neighsh.sh != startsh.sh) {
+ // Detach the two subsegments [a,p] and [p,b] from subfaces.
+ ssdissolve(startsh);
+ ssdissolve(neighsh);
+ // Create a degenerated subface [a,b,p]. It is used to: (1) hold the
+ // new segment [a,b]; (2) connect to the two adjacent subfaces
+ // [p,b,#] and [a,p,#].
+ makeshellface(subfaces, &fakesh);
+ setshvertices(fakesh, pa, pb, delpt);
+ setshellmark(fakesh, shellmark(startsh));
+ // Connect fakesh to the segment [a,b].
+ ssbond(fakesh, abseg);
+ // Connect fakesh to adjacent subfaces: [p,b,#1] and [a,p,#2].
+ senext(fakesh, nextsh);
+ sbond(nextsh, startsh);
+ senext2(fakesh, nextsh);
+ sbond(nextsh, neighsh);
+ smarktest(fakesh); // Mark it as faked.
+ } else {
+ // Special case. There exists already a degenerated face [a,b,p]!
+ // There is no need to create a faked subface here.
+ senext2self(neighsh); // [a,b,p]
+ assert(sapex(neighsh) == delpt);
+ // Since we will re-connect the face ring using the faked subfaces.
+ // We put the adjacent face of [a,b,p] to the list.
+ spivot(neighsh, startsh); // The original adjacent subface.
+ if (sorg(startsh) != pa) sesymself(startsh);
+ sdissolve(startsh);
+ // Connect fakesh to the segment [a,b].
+ ssbond(startsh, abseg);
+ fakesh = startsh; // Do not mark it!
+ // Delete the degenerated subface.
+ shellfacedealloc(subfaces, neighsh.sh);
+ }
+ // Save the fakesh in list (for re-creating the face ring).
+ cavesegshlist->newindex((void **) &parysh);
+ *parysh = fakesh;
+ } // i
+ caveshlist->restart();
+
+ // Re-create the face ring.
+ if (cavesegshlist->objects > 1) {
+ for (i = 0; i < cavesegshlist->objects; i++) {
+ parysh = (face *) fastlookup(cavesegshlist, i);
+ fakesh = *parysh;
+ // Get the next face in the ring.
+ j = (i + 1) % cavesegshlist->objects;
+ parysh = (face *) fastlookup(cavesegshlist, j);
+ nextsh = *parysh;
+ sbond1(fakesh, nextsh);
+ }
+ }
+
+ // Delete the two subsegments containing p.
+ shellfacedealloc(subsegs, parentseg->sh);
+ shellfacedealloc(subsegs, prevseg.sh);
+ // Return the new segment.
+ *parentseg = abseg;
+ } else {
+ // p is inside the surface.
+ if (b->verbose > 2) {
+ printf(" Remove vertex %d from surface.\n", pointmark(delpt));
+ }
+ assert(sorg(*parentsh) == delpt);
+ // Let 'delpt' be its apex.
+ senextself(*parentsh);
+ // For unifying the code, we add parentsh to list.
+ cavesegshlist->newindex((void **) &parysh);
+ *parysh = *parentsh;
+ }
+
+ // Remove the point (p).
+
+ for (it = 0; it < cavesegshlist->objects; it++) {
+ parentsh = (face *) fastlookup(cavesegshlist, it); // [a,b,p]
+ senextself(*parentsh); // [b,p,a].
+ spivotself(*parentsh);
+ if (sorg(*parentsh) != delpt) sesymself(*parentsh);
+ // now parentsh is [p,b,#].
+ if (sorg(*parentsh) != delpt) {
+ // The vertex has already been removed in above special case.
+ assert(!smarktested(*parentsh));
+ continue;
+ }
+
+ while (1) {
+ // Initialize the flip edge list. Re-use 'caveshlist'.
+ spinsh = *parentsh; // [p, b, #]
+ while (1) {
+ caveshlist->newindex((void **) &parysh);
+ *parysh = spinsh;
+ senext2self(spinsh);
+ spivotself(spinsh);
+ assert(spinsh.sh != NULL);
+ if (spinsh.sh == parentsh->sh) break;
+ if (sorg(spinsh) != delpt) sesymself(spinsh);
+ assert(sorg(spinsh) == delpt);
+ } // while (1)
+
+ if (caveshlist->objects == 3) {
+ // Delete the point by a 3-to-1 flip.
+ for (i = 0; i < 3; i++) {
+ parysh = (face *) fastlookup(caveshlist, i);
+ flipfaces[i] = *parysh;
+ }
+ flip31(flipfaces, lawson);
+ for (i = 0; i < 3; i++) {
+ shellfacedealloc(subfaces, flipfaces[i].sh);
+ }
+ caveshlist->restart();
+ // Save the new subface.
+ caveshbdlist->newindex((void **) &parysh);
+ *parysh = flipfaces[3];
+ // The vertex is removed.
+ break;
+ }
+
+ // Search an edge to flip.
+ for (i = 0; i < caveshlist->objects; i++) {
+ parysh = (face *) fastlookup(caveshlist, i);
+ flipfaces[0] = *parysh;
+ spivot(flipfaces[0], flipfaces[1]);
+ if (sorg(flipfaces[0]) != sdest(flipfaces[1]))
+ sesymself(flipfaces[1]);
+ // Skip this edge if it belongs to a faked subface.
+ if (!smarktested(flipfaces[0]) && !smarktested(flipfaces[1])) {
+ pa = sorg(flipfaces[0]);
+ pb = sdest(flipfaces[0]);
+ pc = sapex(flipfaces[0]);
+ pd = sapex(flipfaces[1]);
+ calculateabovepoint4(pa, pb, pc, pd);
+ // Check if a 2-to-2 flip is possible.
+ ori1 = orient3d(pc, pd, dummypoint, pa);
+ ori2 = orient3d(pc, pd, dummypoint, pb);
+ if (ori1 * ori2 < 0) {
+ // A 2-to-2 flip is found.
+ flip22(flipfaces, lawson, 0);
+ // The i-th edge is flipped. The i-th and (i-1)-th subfaces are
+ // changed. The 'flipfaces[1]' contains p as its apex.
+ senext2(flipfaces[1], *parentsh);
+ // Save the new subface.
+ caveshbdlist->newindex((void **) &parysh);
+ *parysh = flipfaces[0];
+ break;
+ }
+ } //
+ } // i
+
+ if (i == caveshlist->objects) {
+ // This can happen only if there are 4 edges at p, and they are
+ // orthogonal to each other, see Fig. 2010-11-01.
+ assert(caveshlist->objects == 4);
+ // Do a flip22 and a flip31 to remove p.
+ parysh = (face *) fastlookup(caveshlist, 0);
+ flipfaces[0] = *parysh;
+ spivot(flipfaces[0], flipfaces[1]);
+ if (sorg(flipfaces[0]) != sdest(flipfaces[1])) {
+ sesymself(flipfaces[1]);
+ }
+ flip22(flipfaces, lawson, 0);
+ senext2(flipfaces[1], *parentsh);
+ // Save the new subface.
+ caveshbdlist->newindex((void **) &parysh);
+ *parysh = flipfaces[0];
+ }
+
+ // The edge list at p are changed.
+ caveshlist->restart();
+ } // while (1)
+
+ } // it
+
+ cavesegshlist->restart();
+
+ if (b->verbose > 2) {
+ printf(" Created %ld new subfaces.\n", caveshbdlist->objects);
+ }
+
+
+ if (lawson) {
+ lawsonflip();
+ }
+
+ return 0;
+}
+
+enum meshGRegionBoundaryRecovery::locateresult
+ meshGRegionBoundaryRecovery::slocate(point searchpt, face* searchsh,
+ int aflag, int cflag, int rflag)
+{
+ face neighsh;
+ point pa, pb, pc;
+ enum locateresult loc;
+ enum {MOVE_BC, MOVE_CA} nextmove;
+ REAL ori, ori_bc, ori_ca;
+ int i;
+
+ pa = sorg(*searchsh);
+ pb = sdest(*searchsh);
+ pc = sapex(*searchsh);
+
+ if (!aflag) {
+ // No above point is given. Calculate an above point for this facet.
+ calculateabovepoint4(pa, pb, pc, searchpt);
+ }
+
+ // 'dummypoint' is given. Make sure it is above [a,b,c]
+ ori = orient3d(pa, pb, pc, dummypoint);
+ assert(ori != 0); // SELF_CHECK
+ if (ori > 0) {
+ sesymself(*searchsh); // Reverse the face orientation.
+ }
+
+ // Find an edge of the face s.t. p lies on its right-hand side (CCW).
+ for (i = 0; i < 3; i++) {
+ pa = sorg(*searchsh);
+ pb = sdest(*searchsh);
+ ori = orient3d(pa, pb, dummypoint, searchpt);
+ if (ori > 0) break;
+ senextself(*searchsh);
+ }
+ assert(i < 3); // SELF_CHECK
+
+ pc = sapex(*searchsh);
+
+ if (pc == searchpt) {
+ senext2self(*searchsh);
+ return ONVERTEX;
+ }
+
+ while (1) {
+
+ ori_bc = orient3d(pb, pc, dummypoint, searchpt);
+ ori_ca = orient3d(pc, pa, dummypoint, searchpt);
+
+ if (ori_bc < 0) {
+ if (ori_ca < 0) { // (--)
+ // Any of the edges is a viable move.
+ if (randomnation(2)) {
+ nextmove = MOVE_CA;
+ } else {
+ nextmove = MOVE_BC;
+ }
+ } else { // (-#)
+ // Edge [b, c] is viable.
+ nextmove = MOVE_BC;
+ }
+ } else {
+ if (ori_ca < 0) { // (#-)
+ // Edge [c, a] is viable.
+ nextmove = MOVE_CA;
+ } else {
+ if (ori_bc > 0) {
+ if (ori_ca > 0) { // (++)
+ loc = ONFACE; // Inside [a, b, c].
+ break;
+ } else { // (+0)
+ senext2self(*searchsh); // On edge [c, a].
+ loc = ONEDGE;
+ break;
+ }
+ } else { // ori_bc == 0
+ if (ori_ca > 0) { // (0+)
+ senextself(*searchsh); // On edge [b, c].
+ loc = ONEDGE;
+ break;
+ } else { // (00)
+ // p is coincident with vertex c.
+ senext2self(*searchsh);
+ return ONVERTEX;
+ }
+ }
+ }
+ }
+
+ // Move to the next face.
+ if (nextmove == MOVE_BC) {
+ senextself(*searchsh);
+ } else {
+ senext2self(*searchsh);
+ }
+ if (!cflag) {
+ // NON-convex case. Check if we will cross a boundary.
+ if (isshsubseg(*searchsh)) {
+ return ENCSEGMENT;
+ }
+ }
+ spivot(*searchsh, neighsh);
+ if (neighsh.sh == NULL) {
+ return OUTSIDE; // A hull edge.
+ }
+ // Adjust the edge orientation.
+ if (sorg(neighsh) != sdest(*searchsh)) {
+ sesymself(neighsh);
+ }
+ assert(sorg(neighsh) == sdest(*searchsh)); // SELF_CHECK
+
+ // Update the newly discovered face and its endpoints.
+ *searchsh = neighsh;
+ pa = sorg(*searchsh);
+ pb = sdest(*searchsh);
+ pc = sapex(*searchsh);
+
+ if (pc == searchpt) {
+ senext2self(*searchsh);
+ return ONVERTEX;
+ }
+
+ } // while (1)
+
+ // assert(loc == ONFACE || loc == ONEDGE);
+
+
+ if (rflag) {
+ // Round the locate result before return.
+ REAL n[3], area_abc, area_abp, area_bcp, area_cap;
+
+ pa = sorg(*searchsh);
+ pb = sdest(*searchsh);
+ pc = sapex(*searchsh);
+
+ facenormal(pa, pb, pc, n, 1, NULL);
+ area_abc = sqrt(dot(n, n));
+
+ facenormal(pb, pc, searchpt, n, 1, NULL);
+ area_bcp = sqrt(dot(n, n));
+ if ((area_bcp / area_abc) < b->epsilon) {
+ area_bcp = 0; // Rounding.
+ }
+
+ facenormal(pc, pa, searchpt, n, 1, NULL);
+ area_cap = sqrt(dot(n, n));
+ if ((area_cap / area_abc) < b->epsilon) {
+ area_cap = 0; // Rounding
+ }
+
+ if ((loc == ONFACE) || (loc == OUTSIDE)) {
+ facenormal(pa, pb, searchpt, n, 1, NULL);
+ area_abp = sqrt(dot(n, n));
+ if ((area_abp / area_abc) < b->epsilon) {
+ area_abp = 0; // Rounding
+ }
+ } else { // loc == ONEDGE
+ area_abp = 0;
+ }
+
+ if (area_abp == 0) {
+ if (area_bcp == 0) {
+ assert(area_cap != 0);
+ senextself(*searchsh);
+ loc = ONVERTEX; // p is close to b.
+ } else {
+ if (area_cap == 0) {
+ loc = ONVERTEX; // p is close to a.
+ } else {
+ loc = ONEDGE; // p is on edge [a,b].
+ }
+ }
+ } else if (area_bcp == 0) {
+ if (area_cap == 0) {
+ senext2self(*searchsh);
+ loc = ONVERTEX; // p is close to c.
+ } else {
+ senextself(*searchsh);
+ loc = ONEDGE; // p is on edge [b,c].
+ }
+ } else if (area_cap == 0) {
+ senext2self(*searchsh);
+ loc = ONEDGE; // p is on edge [c,a].
+ } else {
+ loc = ONFACE; // p is on face [a,b,c].
+ }
+ } // if (rflag)
+
+ return loc;
+}
+
+//// ////
+//// ////
+//// surface_cxx //////////////////////////////////////////////////////////////
+
+//// steiner_cxx //////////////////////////////////////////////////////////////
+//// ////
+//// ////
+
+enum meshGRegionBoundaryRecovery::interresult
+ meshGRegionBoundaryRecovery::finddirection(triface* searchtet, point endpt)
+{
+ triface neightet;
+ point pa, pb, pc, pd;
+ enum {HMOVE, RMOVE, LMOVE} nextmove;
+ REAL hori, rori, lori;
+ int t1ver;
+ int s;
+
+ // The origin is fixed.
+ pa = org(*searchtet);
+ if ((point) searchtet->tet[7] == dummypoint) {
+ // A hull tet. Choose the neighbor of its base face.
+ decode(searchtet->tet[3], *searchtet);
+ // Reset the origin to be pa.
+ if ((point) searchtet->tet[4] == pa) {
+ searchtet->ver = 11;
+ } else if ((point) searchtet->tet[5] == pa) {
+ searchtet->ver = 3;
+ } else if ((point) searchtet->tet[6] == pa) {
+ searchtet->ver = 7;
+ } else {
+ assert((point) searchtet->tet[7] == pa);
+ searchtet->ver = 0;
+ }
+ }
+
+ pb = dest(*searchtet);
+ // Check whether the destination or apex is 'endpt'.
+ if (pb == endpt) {
+ // pa->pb is the search edge.
+ return ACROSSVERT;
+ }
+
+ pc = apex(*searchtet);
+ if (pc == endpt) {
+ // pa->pc is the search edge.
+ eprevesymself(*searchtet);
+ return ACROSSVERT;
+ }
+
+ // Walk through tets around pa until the right one is found.
+ while (1) {
+
+ pd = oppo(*searchtet);
+ // Check whether the opposite vertex is 'endpt'.
+ if (pd == endpt) {
+ // pa->pd is the search edge.
+ esymself(*searchtet);
+ enextself(*searchtet);
+ return ACROSSVERT;
+ }
+ // Check if we have entered outside of the domain.
+ if (pd == dummypoint) {
+ // This is possible when the mesh is non-convex.
+ assert(nonconvex);
+ return ACROSSSUB; // Hit a bounday.
+ }
+
+ // Now assume that the base face abc coincides with the horizon plane,
+ // and d lies above the horizon. The search point 'endpt' may lie
+ // above or below the horizon. We test the orientations of 'endpt'
+ // with respect to three planes: abc (horizon), bad (right plane),
+ // and acd (left plane).
+ hori = orient3d(pa, pb, pc, endpt);
+ rori = orient3d(pb, pa, pd, endpt);
+ lori = orient3d(pa, pc, pd, endpt);
+
+ // Now decide the tet to move. It is possible there are more than one
+ // tets are viable moves. Is so, randomly choose one.
+ if (hori > 0) {
+ if (rori > 0) {
+ if (lori > 0) {
+ // Any of the three neighbors is a viable move.
+ s = randomnation(3);
+ if (s == 0) {
+ nextmove = HMOVE;
+ } else if (s == 1) {
+ nextmove = RMOVE;
+ } else {
+ nextmove = LMOVE;
+ }
+ } else {
+ // Two tets, below horizon and below right, are viable.
+ //s = randomnation(2);
+ if (randomnation(2)) {
+ nextmove = HMOVE;
+ } else {
+ nextmove = RMOVE;
+ }
+ }
+ } else {
+ if (lori > 0) {
+ // Two tets, below horizon and below left, are viable.
+ //s = randomnation(2);
+ if (randomnation(2)) {
+ nextmove = HMOVE;
+ } else {
+ nextmove = LMOVE;
+ }
+ } else {
+ // The tet below horizon is chosen.
+ nextmove = HMOVE;
+ }
+ }
+ } else {
+ if (rori > 0) {
+ if (lori > 0) {
+ // Two tets, below right and below left, are viable.
+ //s = randomnation(2);
+ if (randomnation(2)) {
+ nextmove = RMOVE;
+ } else {
+ nextmove = LMOVE;
+ }
+ } else {
+ // The tet below right is chosen.
+ nextmove = RMOVE;
+ }
+ } else {
+ if (lori > 0) {
+ // The tet below left is chosen.
+ nextmove = LMOVE;
+ } else {
+ // 'endpt' lies either on the plane(s) or across face bcd.
+ if (hori == 0) {
+ if (rori == 0) {
+ // pa->'endpt' is COLLINEAR with pa->pb.
+ return ACROSSVERT;
+ }
+ if (lori == 0) {
+ // pa->'endpt' is COLLINEAR with pa->pc.
+ eprevesymself(*searchtet); // // [a,c,d]
+ return ACROSSVERT;
+ }
+ // pa->'endpt' crosses the edge pb->pc.
+ return ACROSSEDGE;
+ }
+ if (rori == 0) {
+ if (lori == 0) {
+ // pa->'endpt' is COLLINEAR with pa->pd.
+ esymself(*searchtet); // face bad.
+ enextself(*searchtet); // face [a,d,b]
+ return ACROSSVERT;
+ }
+ // pa->'endpt' crosses the edge pb->pd.
+ esymself(*searchtet); // face bad.
+ enextself(*searchtet); // face adb
+ return ACROSSEDGE;
+ }
+ if (lori == 0) {
+ // pa->'endpt' crosses the edge pc->pd.
+ eprevesymself(*searchtet); // [a,c,d]
+ return ACROSSEDGE;
+ }
+ // pa->'endpt' crosses the face bcd.
+ return ACROSSFACE;
+ }
+ }
+ }
+
+ // Move to the next tet, fix pa as its origin.
+ if (nextmove == RMOVE) {
+ fnextself(*searchtet);
+ } else if (nextmove == LMOVE) {
+ eprevself(*searchtet);
+ fnextself(*searchtet);
+ enextself(*searchtet);
+ } else { // HMOVE
+ fsymself(*searchtet);
+ enextself(*searchtet);
+ }
+ assert(org(*searchtet) == pa);
+ pb = dest(*searchtet);
+ pc = apex(*searchtet);
+
+ } // while (1)
+}
+
+int meshGRegionBoundaryRecovery::checkflipeligibility(int fliptype, point pa,
+ point pb, point pc, point pd, point pe, int level, int edgepivot,
+ flipconstraints* fc)
+{
+ point tmppts[3];
+ enum interresult dir;
+ int types[2], poss[4];
+ int intflag;
+ int rejflag = 0;
+ int i;
+
+ if (fc->seg[0] != NULL) {
+ // A constraining edge is given (e.g., for edge recovery).
+ if (fliptype == 1) {
+ // A 2-to-3 flip: [a,b,c] => [e,d,a], [e,d,b], [e,d,c].
+ tmppts[0] = pa;
+ tmppts[1] = pb;
+ tmppts[2] = pc;
+ for (i = 0; i < 3 && !rejflag; i++) {
+ if (tmppts[i] != dummypoint) {
+ // Test if the face [e,d,#] intersects the edge.
+ intflag = tri_edge_test(pe, pd, tmppts[i], fc->seg[0], fc->seg[1],
+ NULL, 1, types, poss);
+ if (intflag == 2) {
+ // They intersect at a single point.
+ dir = (enum interresult) types[0];
+ if (dir == ACROSSFACE) {
+ // The interior of [e,d,#] intersect the segment.
+ rejflag = 1;
+ } else if (dir == ACROSSEDGE) {
+ if (poss[0] == 0) {
+ // The interior of [e,d] intersect the segment.
+ // Since [e,d] is the newly created edge. Reject this flip.
+ rejflag = 1;
+ }
+ }
+ } else if (intflag == 4) {
+ // They may intersect at either a point or a line segment.
+ dir = (enum interresult) types[0];
+ if (dir == ACROSSEDGE) {
+ if (poss[0] == 0) {
+ // The interior of [e,d] intersect the segment.
+ // Since [e,d] is the newly created edge. Reject this flip.
+ rejflag = 1;
+ }
+ }
+ }
+ } // if (tmppts[0] != dummypoint)
+ } // i
+ } else if (fliptype == 2) {
+ // A 3-to-2 flip: [e,d,a], [e,d,b], [e,d,c] => [a,b,c]
+ if (pc != dummypoint) {
+ // Check if the new face [a,b,c] intersect the edge in its interior.
+ intflag = tri_edge_test(pa, pb, pc, fc->seg[0], fc->seg[1], NULL,
+ 1, types, poss);
+ if (intflag == 2) {
+ // They intersect at a single point.
+ dir = (enum interresult) types[0];
+ if (dir == ACROSSFACE) {
+ // The interior of [a,b,c] intersect the segment.
+ rejflag = 1; // Do not flip.
+ }
+ } else if (intflag == 4) {
+ // [a,b,c] is coplanar with the edge.
+ dir = (enum interresult) types[0];
+ if (dir == ACROSSEDGE) {
+ // The boundary of [a,b,c] intersect the segment.
+ rejflag = 1; // Do not flip.
+ }
+ }
+ } // if (pc != dummypoint)
+ }
+ } // if (fc->seg[0] != NULL)
+
+ if ((fc->fac[0] != NULL) && !rejflag) {
+ // A constraining face is given (e.g., for face recovery).
+ if (fliptype == 1) {
+ // A 2-to-3 flip.
+ // Test if the new edge [e,d] intersects the face.
+ intflag = tri_edge_test(fc->fac[0], fc->fac[1], fc->fac[2], pe, pd,
+ NULL, 1, types, poss);
+ if (intflag == 2) {
+ // They intersect at a single point.
+ dir = (enum interresult) types[0];
+ if (dir == ACROSSFACE) {
+ rejflag = 1;
+ } else if (dir == ACROSSEDGE) {
+ rejflag = 1;
+ }
+ } else if (intflag == 4) {
+ // The edge [e,d] is coplanar with the face.
+ // There may be two intersections.
+ for (i = 0; i < 2 && !rejflag; i++) {
+ dir = (enum interresult) types[i];
+ if (dir == ACROSSFACE) {
+ rejflag = 1;
+ } else if (dir == ACROSSEDGE) {
+ rejflag = 1;
+ }
+ }
+ }
+ } // if (fliptype == 1)
+ } // if (fc->fac[0] != NULL)
+
+ if ((fc->remvert != NULL) && !rejflag) {
+ // The vertex is going to be removed. Do not create a new edge which
+ // contains this vertex.
+ if (fliptype == 1) {
+ // A 2-to-3 flip.
+ if ((pd == fc->remvert) || (pe == fc->remvert)) {
+ rejflag = 1;
+ }
+ }
+ }
+
+ if (fc->remove_large_angle && !rejflag) {
+ // Remove a large dihedral angle. Do not create a new small angle.
+ REAL cosmaxd = 0, diff;
+ if (fliptype == 1) {
+ // We assume that neither 'a' nor 'b' is dummypoint.
+ assert((pa != dummypoint) && (pb != dummypoint)); // SELF_CHECK
+ // A 2-to-3 flip: [a,b,c] => [e,d,a], [e,d,b], [e,d,c].
+ // The new tet [e,d,a,b] will be flipped later. Only two new tets:
+ // [e,d,b,c] and [e,d,c,a] need to be checked.
+ if ((pc != dummypoint) && (pe != dummypoint) && (pd != dummypoint)) {
+ // Get the largest dihedral angle of [e,d,b,c].
+ tetalldihedral(pe, pd, pb, pc, NULL, &cosmaxd, NULL);
+ diff = cosmaxd - fc->cosdihed_in;
+ if (fabs(diff/fc->cosdihed_in) < b->epsilon) diff = 0.0; // Rounding.
+ if (diff <= 0) { //if (cosmaxd <= fc->cosdihed_in) {
+ rejflag = 1;
+ } else {
+ // Record the largest new angle.
+ if (cosmaxd < fc->cosdihed_out) {
+ fc->cosdihed_out = cosmaxd;
+ }
+ // Get the largest dihedral angle of [e,d,c,a].
+ tetalldihedral(pe, pd, pc, pa, NULL, &cosmaxd, NULL);
+ diff = cosmaxd - fc->cosdihed_in;
+ if (fabs(diff/fc->cosdihed_in) < b->epsilon) diff = 0.0; // Rounding.
+ if (diff <= 0) { //if (cosmaxd <= fc->cosdihed_in) {
+ rejflag = 1;
+ } else {
+ // Record the largest new angle.
+ if (cosmaxd < fc->cosdihed_out) {
+ fc->cosdihed_out = cosmaxd;
+ }
+ }
+ }
+ } // if (pc != dummypoint && ...)
+ } else if (fliptype == 2) {
+ // A 3-to-2 flip: [e,d,a], [e,d,b], [e,d,c] => [a,b,c]
+ // We assume that neither 'e' nor 'd' is dummypoint.
+ assert((pe != dummypoint) && (pd != dummypoint)); // SELF_CHECK
+ if (level == 0) {
+ // Both new tets [a,b,c,d] and [b,a,c,e] are new tets.
+ if ((pa != dummypoint) && (pb != dummypoint) && (pc != dummypoint)) {
+ // Get the largest dihedral angle of [a,b,c,d].
+ tetalldihedral(pa, pb, pc, pd, NULL, &cosmaxd, NULL);
+ diff = cosmaxd - fc->cosdihed_in;
+ if (fabs(diff/fc->cosdihed_in) < b->epsilon) diff = 0.0; // Rounding
+ if (diff <= 0) { //if (cosmaxd <= fc->cosdihed_in) {
+ rejflag = 1;
+ } else {
+ // Record the largest new angle.
+ if (cosmaxd < fc->cosdihed_out) {
+ fc->cosdihed_out = cosmaxd;
+ }
+ // Get the largest dihedral angle of [b,a,c,e].
+ tetalldihedral(pb, pa, pc, pe, NULL, &cosmaxd, NULL);
+ diff = cosmaxd - fc->cosdihed_in;
+ if (fabs(diff/fc->cosdihed_in) < b->epsilon) diff = 0.0;// Rounding
+ if (diff <= 0) { //if (cosmaxd <= fc->cosdihed_in) {
+ rejflag = 1;
+ } else {
+ // Record the largest new angle.
+ if (cosmaxd < fc->cosdihed_out) {
+ fc->cosdihed_out = cosmaxd;
+ }
+ }
+ }
+ }
+ } else { // level > 0
+ assert(edgepivot != 0);
+ if (edgepivot == 1) {
+ // The new tet [a,b,c,d] will be flipped. Only check [b,a,c,e].
+ if ((pa != dummypoint) && (pb != dummypoint) && (pc != dummypoint)) {
+ // Get the largest dihedral angle of [b,a,c,e].
+ tetalldihedral(pb, pa, pc, pe, NULL, &cosmaxd, NULL);
+ diff = cosmaxd - fc->cosdihed_in;
+ if (fabs(diff/fc->cosdihed_in) < b->epsilon) diff = 0.0;// Rounding
+ if (diff <= 0) { //if (cosmaxd <= fc->cosdihed_in) {
+ rejflag = 1;
+ } else {
+ // Record the largest new angle.
+ if (cosmaxd < fc->cosdihed_out) {
+ fc->cosdihed_out = cosmaxd;
+ }
+ }
+ }
+ } else {
+ assert(edgepivot == 2);
+ // The new tet [b,a,c,e] will be flipped. Only check [a,b,c,d].
+ if ((pa != dummypoint) && (pb != dummypoint) && (pc != dummypoint)) {
+ // Get the largest dihedral angle of [b,a,c,e].
+ tetalldihedral(pa, pb, pc, pd, NULL, &cosmaxd, NULL);
+ diff = cosmaxd - fc->cosdihed_in;
+ if (fabs(diff/fc->cosdihed_in) < b->epsilon) diff = 0.0;// Rounding
+ if (diff <= 0) { //if (cosmaxd <= fc->cosdihed_in) {
+ rejflag = 1;
+ } else {
+ // Record the largest new angle.
+ if (cosmaxd < fc->cosdihed_out) {
+ fc->cosdihed_out = cosmaxd;
+ }
+ }
+ }
+ } // edgepivot
+ } // level
+ }
+ }
+
+ return rejflag;
+}
+
+int meshGRegionBoundaryRecovery::removeedgebyflips(triface *flipedge, flipconstraints* fc)
+{
+ triface *abtets, spintet;
+ int t1ver;
+ int n, nn, i;
+
+
+ if (checksubsegflag) {
+ // Do not flip a segment.
+ if (issubseg(*flipedge)) {
+ if (fc->collectencsegflag) {
+ face checkseg, *paryseg;
+ tsspivot1(*flipedge, checkseg);
+ if (!sinfected(checkseg)) {
+ // Queue this segment in list.
+ sinfect(checkseg);
+ caveencseglist->newindex((void **) &paryseg);
+ *paryseg = checkseg;
+ }
+ }
+ return 0;
+ }
+ }
+
+ // Count the number of tets at edge [a,b].
+ n = 0;
+ spintet = *flipedge;
+ while (1) {
+ n++;
+ fnextself(spintet);
+ if (spintet.tet == flipedge->tet) break;
+ }
+ assert(n >= 3);
+
+ if ((b->flipstarsize > 0) && (n > b->flipstarsize)) {
+ // The star size exceeds the limit.
+ return 0; // Do not flip it.
+ }
+
+ // Allocate spaces.
+ abtets = new triface[n];
+ // Collect the tets at edge [a,b].
+ spintet = *flipedge;
+ i = 0;
+ while (1) {
+ abtets[i] = spintet;
+ setelemcounter(abtets[i], 1);
+ i++;
+ fnextself(spintet);
+ if (spintet.tet == flipedge->tet) break;
+ }
+
+
+ // Try to flip the edge (level = 0, edgepivot = 0).
+ nn = flipnm(abtets, n, 0, 0, fc);
+
+
+ if (nn > 2) {
+ // Edge is not flipped. Unmarktest the remaining tets in Star(ab).
+ for (i = 0; i < nn; i++) {
+ setelemcounter(abtets[i], 0);
+ }
+ // Restore the input edge (needed by Lawson's flip).
+ *flipedge = abtets[0];
+ }
+
+ // Release the temporary allocated spaces.
+ // NOTE: fc->unflip must be 0.
+ int bakunflip = fc->unflip;
+ fc->unflip = 0;
+ flipnm_post(abtets, n, nn, 0, fc);
+ fc->unflip = bakunflip;
+
+ delete [] abtets;
+
+ return nn;
+}
+
+int meshGRegionBoundaryRecovery::removefacebyflips(triface *flipface, flipconstraints* fc)
+{
+ if (checksubfaceflag) {
+ if (issubface(*flipface)) {
+ return 0;
+ }
+ }
+
+ triface fliptets[3], flipedge;
+ point pa, pb, pc, pd, pe;
+ REAL ori;
+ int reducflag = 0;
+
+ fliptets[0] = *flipface;
+ fsym(*flipface, fliptets[1]);
+ pa = org(fliptets[0]);
+ pb = dest(fliptets[0]);
+ pc = apex(fliptets[0]);
+ pd = oppo(fliptets[0]);
+ pe = oppo(fliptets[1]);
+
+ ori = orient3d(pa, pb, pd, pe);
+ if (ori > 0) {
+ ori = orient3d(pb, pc, pd, pe);
+ if (ori > 0) {
+ ori = orient3d(pc, pa, pd, pe);
+ if (ori > 0) {
+ // Found a 2-to-3 flip.
+ reducflag = 1;
+ } else {
+ eprev(*flipface, flipedge); // [c,a]
+ }
+ } else {
+ enext(*flipface, flipedge); // [b,c]
+ }
+ } else {
+ flipedge = *flipface; // [a,b]
+ }
+
+ if (reducflag) {
+ // A 2-to-3 flip is found.
+ flip23(fliptets, 0, fc);
+ return 1;
+ } else {
+ // Try to flip the selected edge of this face.
+ if (removeedgebyflips(&flipedge, fc) == 2) {
+ return 1;
+ }
+ }
+
+ // Face is not removed.
+ return 0;
+}
+
+int meshGRegionBoundaryRecovery::recoveredgebyflips(point startpt,
+ point endpt, triface* searchtet, int fullsearch)
+{
+ flipconstraints fc;
+ enum interresult dir;
+
+ fc.seg[0] = startpt;
+ fc.seg[1] = endpt;
+ fc.checkflipeligibility = 1;
+
+ // The mainloop of the edge reocvery.
+ while (1) { // Loop I
+
+ // Search the edge from 'startpt'.
+ point2tetorg(startpt, *searchtet);
+ dir = finddirection(searchtet, endpt);
+ if (dir == ACROSSVERT) {
+ if (dest(*searchtet) == endpt) {
+ return 1; // Edge is recovered.
+ } else {
+ terminateBoundaryRecovery(this, 3); // // It may be a PLC problem.
+ }
+ }
+
+ // The edge is missing.
+
+ // Try to flip the first intersecting face/edge.
+ enextesymself(*searchtet); // Go to the opposite face.
+ if (dir == ACROSSFACE) {
+ // A face is intersected with the segment. Try to flip it.
+ if (removefacebyflips(searchtet, &fc)) {
+ continue;
+ }
+ } else if (dir == ACROSSEDGE) {
+ // An edge is intersected with the segment. Try to flip it.
+ if (removeedgebyflips(searchtet, &fc) == 2) {
+ continue;
+ }
+ } else {
+ terminateBoundaryRecovery(this, 3); // It may be a PLC problem.
+ }
+
+ // The edge is missing.
+
+ if (fullsearch) {
+ // Try to flip one of the faces/edges which intersects the edge.
+ triface neightet, spintet;
+ point pa, pb, pc, pd;
+ badface bakface;
+ enum interresult dir1;
+ int types[2], poss[4], pos = 0;
+ int success = 0;
+ int t1ver;
+ int i, j;
+
+ // Loop through the sequence of intersecting faces/edges from
+ // 'startpt' to 'endpt'.
+ point2tetorg(startpt, *searchtet);
+ dir = finddirection(searchtet, endpt);
+ //assert(dir != ACROSSVERT);
+
+ // Go to the face/edge intersecting the searching edge.
+ enextesymself(*searchtet); // Go to the opposite face.
+ // This face/edge has been tried in previous step.
+
+ while (1) { // Loop I-I
+
+ // Find the next intersecting face/edge.
+ fsymself(*searchtet);
+ if (dir == ACROSSFACE) {
+ neightet = *searchtet;
+ j = (neightet.ver & 3); // j is the current face number.
+ for (i = j + 1; i < j + 4; i++) {
+ neightet.ver = (i % 4);
+ pa = org(neightet);
+ pb = dest(neightet);
+ pc = apex(neightet);
+ pd = oppo(neightet); // The above point.
+ if (tri_edge_test(pa,pb,pc,startpt,endpt, pd, 1, types, poss)) {
+ dir = (enum interresult) types[0];
+ pos = poss[0];
+ break;
+ } else {
+ dir = DISJOINT;
+ pos = 0;
+ }
+ } // i
+ // There must be an intersection face/edge.
+ assert(dir != DISJOINT); // SELF_CHECK
+ } else {
+ assert(dir == ACROSSEDGE);
+ while (1) { // Loop I-I-I
+ // Check the two opposite faces (of the edge) in 'searchtet'.
+ for (i = 0; i < 2; i++) {
+ if (i == 0) {
+ enextesym(*searchtet, neightet);
+ } else {
+ eprevesym(*searchtet, neightet);
+ }
+ pa = org(neightet);
+ pb = dest(neightet);
+ pc = apex(neightet);
+ pd = oppo(neightet); // The above point.
+ if (tri_edge_test(pa,pb,pc,startpt,endpt,pd,1, types, poss)) {
+ dir = (enum interresult) types[0];
+ pos = poss[0];
+ break; // for loop
+ } else {
+ dir = DISJOINT;
+ pos = 0;
+ }
+ } // i
+ if (dir != DISJOINT) {
+ // Find an intersection face/edge.
+ break; // Loop I-I-I
+ }
+ // No intersection. Rotate to the next tet at the edge.
+ fnextself(*searchtet);
+ } // while (1) // Loop I-I-I
+ }
+
+ // Adjust to the intersecting edge/vertex.
+ for (i = 0; i < pos; i++) {
+ enextself(neightet);
+ }
+
+ if (dir == SHAREVERT) {
+ // Check if we have reached the 'endpt'.
+ pd = org(neightet);
+ if (pd == endpt) {
+ // Failed to recover the edge.
+ break; // Loop I-I
+ } else {
+ // We need to further check this case. It might be a PLC problem
+ // or a Steiner point that was added at a bad location.
+ assert(0);
+ }
+ }
+
+ // The next to be flipped face/edge.
+ *searchtet = neightet;
+
+ // Bakup this face (tetrahedron).
+ bakface.forg = org(*searchtet);
+ bakface.fdest = dest(*searchtet);
+ bakface.fapex = apex(*searchtet);
+ bakface.foppo = oppo(*searchtet);
+
+ // Try to flip this intersecting face/edge.
+ if (dir == ACROSSFACE) {
+ if (removefacebyflips(searchtet, &fc)) {
+ success = 1;
+ break; // Loop I-I
+ }
+ } else if (dir == ACROSSEDGE) {
+ if (removeedgebyflips(searchtet, &fc) == 2) {
+ success = 1;
+ break; // Loop I-I
+ }
+ } else {
+ assert(0); // A PLC problem.
+ }
+
+ // The face/edge is not flipped.
+ if ((searchtet->tet == NULL) ||
+ (org(*searchtet) != bakface.forg) ||
+ (dest(*searchtet) != bakface.fdest) ||
+ (apex(*searchtet) != bakface.fapex) ||
+ (oppo(*searchtet) != bakface.foppo)) {
+ // 'searchtet' was flipped. We must restore it.
+ point2tetorg(bakface.forg, *searchtet);
+ dir1 = finddirection(searchtet, bakface.fdest);
+ if (dir1 == ACROSSVERT) {
+ assert(dest(*searchtet) == bakface.fdest);
+ spintet = *searchtet;
+ while (1) {
+ if (apex(spintet) == bakface.fapex) {
+ // Found the face.
+ *searchtet = spintet;
+ break;
+ }
+ fnextself(spintet);
+ if (spintet.tet == searchtet->tet) {
+ searchtet->tet = NULL;
+ break; // Not find.
+ }
+ } // while (1)
+ if (searchtet->tet != NULL) {
+ if (oppo(*searchtet) != bakface.foppo) {
+ fsymself(*searchtet);
+ if (oppo(*searchtet) != bakface.foppo) {
+ assert(0); // Check this case.
+ searchtet->tet = NULL;
+ break; // Not find.
+ }
+ }
+ }
+ } else {
+ searchtet->tet = NULL; // Not find.
+ }
+ if (searchtet->tet == NULL) {
+ success = 0; // This face/edge has been destroyed.
+ break; // Loop I-I
+ }
+ }
+ } // while (1) // Loop I-I
+
+ if (success) {
+ // One of intersecting faces/edges is flipped.
+ continue;
+ }
+
+ } // if (fullsearch)
+
+ // The edge is missing.
+ break; // Loop I
+
+ } // while (1) // Loop I
+
+ return 0;
+}
+
+int meshGRegionBoundaryRecovery::
+ add_steinerpt_in_schoenhardtpoly(triface *abtets, int n, int chkencflag)
+{
+ triface worktet, *parytet;
+ triface faketet1, faketet2;
+ point pc, pd, steinerpt;
+ insertvertexflags ivf;
+ optparameters opm;
+ REAL vcd[3], sampt[3], smtpt[3];
+ REAL maxminvol = 0.0, minvol = 0.0, ori;
+ int success, maxidx = 0;
+ int it, i;
+
+
+ pc = apex(abtets[0]); // pc = p0
+ pd = oppo(abtets[n-1]); // pd = p_(n-1)
+
+
+ // Find an optimial point in edge [c,d]. It is visible by all outer faces
+ // of 'abtets', and it maxmizes the min volume.
+
+ // initialize the list of 2n boundary faces.
+ for (i = 0; i < n; i++) {
+ edestoppo(abtets[i], worktet); // [p_i,p_i+1,a]
+ cavetetlist->newindex((void **) &parytet);
+ *parytet = worktet;
+ eorgoppo(abtets[i], worktet); // [p_i+1,p_i,b]
+ cavetetlist->newindex((void **) &parytet);
+ *parytet = worktet;
+ }
+
+ int N = 100;
+ REAL stepi = 0.01;
+
+ // Search the point along the edge [c,d].
+ for (i = 0; i < 3; i++) vcd[i] = pd[i] - pc[i];
+
+ // Sample N points in edge [c,d].
+ for (it = 1; it < N; it++) {
+ for (i = 0; i < 3; i++) {
+ sampt[i] = pc[i] + (stepi * (double) it) * vcd[i];
+ }
+ for (i = 0; i < cavetetlist->objects; i++) {
+ parytet = (triface *) fastlookup(cavetetlist, i);
+ ori = orient3d(dest(*parytet), org(*parytet), apex(*parytet), sampt);
+ if (i == 0) {
+ minvol = ori;
+ } else {
+ if (minvol > ori) minvol = ori;
+ }
+ } // i
+ if (it == 1) {
+ maxminvol = minvol;
+ maxidx = it;
+ } else {
+ if (maxminvol < minvol) {
+ maxminvol = minvol;
+ maxidx = it;
+ }
+ }
+ } // it
+
+ if (maxminvol <= 0) {
+ cavetetlist->restart();
+ return 0;
+ }
+
+ for (i = 0; i < 3; i++) {
+ smtpt[i] = pc[i] + (stepi * (double) maxidx) * vcd[i];
+ }
+
+ // Create two faked tets to hold the two non-existing boundary faces:
+ // [d,c,a] and [c,d,b].
+ maketetrahedron(&faketet1);
+ setvertices(faketet1, pd, pc, org(abtets[0]), dummypoint);
+ cavetetlist->newindex((void **) &parytet);
+ *parytet = faketet1;
+ maketetrahedron(&faketet2);
+ setvertices(faketet2, pc, pd, dest(abtets[0]), dummypoint);
+ cavetetlist->newindex((void **) &parytet);
+ *parytet = faketet2;
+
+ // Point smooth options.
+ opm.max_min_volume = 1;
+ opm.numofsearchdirs = 20;
+ opm.searchstep = 0.001;
+ opm.maxiter = 100; // Limit the maximum iterations.
+ opm.initval = 0.0; // Initial volume is zero.
+
+ // Try to relocate the point into the inside of the polyhedron.
+ success = smoothpoint(smtpt, cavetetlist, 1, &opm);
+
+ if (success) {
+ while (opm.smthiter == 100) {
+ // It was relocated and the prescribed maximum iteration reached.
+ // Try to increase the search stepsize.
+ opm.searchstep *= 10.0;
+ //opm.maxiter = 100; // Limit the maximum iterations.
+ opm.initval = opm.imprval;
+ opm.smthiter = 0; // Init.
+ smoothpoint(smtpt, cavetetlist, 1, &opm);
+ }
+ } // if (success)
+
+ // Delete the two faked tets.
+ tetrahedrondealloc(faketet1.tet);
+ tetrahedrondealloc(faketet2.tet);
+
+ cavetetlist->restart();
+
+ if (!success) {
+ return 0;
+ }
+
+
+ // Insert the Steiner point.
+ makepoint(&steinerpt, FREEVOLVERTEX);
+ for (i = 0; i < 3; i++) steinerpt[i] = smtpt[i];
+
+ // Insert the created Steiner point.
+ for (i = 0; i < n; i++) {
+ infect(abtets[i]);
+ caveoldtetlist->newindex((void **) &parytet);
+ *parytet = abtets[i];
+ }
+ worktet = abtets[0]; // No need point location.
+ ivf.iloc = (int) INSTAR;
+ ivf.chkencflag = chkencflag;
+ ivf.assignmeshsize = b->metric;
+ if (ivf.assignmeshsize) {
+ // Search the tet containing 'steinerpt' for size interpolation.
+ locate(steinerpt, &(abtets[0]));
+ worktet = abtets[0];
+ }
+
+ // Insert the new point into the tetrahedralization T.
+ // Note that T is convex (nonconvex = 0).
+ if (insertpoint(steinerpt, &worktet, NULL, NULL, &ivf)) {
+ // The vertex has been inserted.
+ st_volref_count++;
+ if (steinerleft > 0) steinerleft--;
+ return 1;
+ } else {
+ // Not inserted.
+ pointdealloc(steinerpt);
+ return 0;
+ }
+}
+
+int meshGRegionBoundaryRecovery::add_steinerpt_in_segment(face* misseg,
+ int searchlevel)
+{
+ triface searchtet;
+ face *paryseg, candseg;
+ point startpt, endpt, pc, pd;
+ flipconstraints fc;
+ enum interresult dir;
+ REAL P[3], Q[3], tp, tq;
+ REAL len, smlen = 0, split = 0, split_q = 0;
+ int success;
+ int i;
+
+ startpt = sorg(*misseg);
+ endpt = sdest(*misseg);
+
+ fc.seg[0] = startpt;
+ fc.seg[1] = endpt;
+ fc.checkflipeligibility = 1;
+ fc.collectencsegflag = 1;
+
+ point2tetorg(startpt, searchtet);
+ dir = finddirection(&searchtet, endpt);
+ //assert(dir != ACROSSVERT);
+
+ // Try to flip the first intersecting face/edge.
+ enextesymself(searchtet); // Go to the opposite face.
+
+ int bak_fliplinklevel = b->fliplinklevel;
+ b->fliplinklevel = searchlevel;
+
+ if (dir == ACROSSFACE) {
+ // A face is intersected with the segment. Try to flip it.
+ success = removefacebyflips(&searchtet, &fc);
+ assert(success == 0);
+ } else if (dir == ACROSSEDGE) {
+ // An edge is intersected with the segment. Try to flip it.
+ success = removeedgebyflips(&searchtet, &fc);
+ assert(success != 2);
+ } else {
+ terminateBoundaryRecovery(this, 3); // It may be a PLC problem.
+ }
+
+ split = 0;
+ for (i = 0; i < caveencseglist->objects; i++) {
+ paryseg = (face *) fastlookup(caveencseglist, i);
+ suninfect(*paryseg);
+ // Calculate the shortest edge between the two lines.
+ pc = sorg(*paryseg);
+ pd = sdest(*paryseg);
+ tp = tq = 0;
+ if (linelineint(startpt, endpt, pc, pd, P, Q, &tp, &tq)) {
+ // Does the shortest edge lie between the two segments?
+ // Round tp and tq.
+ if ((tp > 0) && (tq < 1)) {
+ if (tp < 0.5) {
+ if (tp < (b->epsilon * 1e+3)) tp = 0.0;
+ } else {
+ if ((1.0 - tp) < (b->epsilon * 1e+3)) tp = 1.0;
+ }
+ }
+ if ((tp <= 0) || (tp >= 1)) continue;
+ if ((tq > 0) && (tq < 1)) {
+ if (tq < 0.5) {
+ if (tq < (b->epsilon * 1e+3)) tq = 0.0;
+ } else {
+ if ((1.0 - tq) < (b->epsilon * 1e+3)) tq = 1.0;
+ }
+ }
+ if ((tq <= 0) || (tq >= 1)) continue;
+ // It is a valid shortest edge. Calculate its length.
+ len = distance(P, Q);
+ if (split == 0) {
+ smlen = len;
+ split = tp;
+ split_q = tq;
+ candseg = *paryseg;
+ } else {
+ if (len < smlen) {
+ smlen = len;
+ split = tp;
+ split_q = tq;
+ candseg = *paryseg;
+ }
+ }
+ }
+ }
+
+ caveencseglist->restart();
+ b->fliplinklevel = bak_fliplinklevel;
+
+ if (split == 0) {
+ // Found no crossing segment.
+ return 0;
+ }
+
+ face splitsh;
+ face splitseg;
+ point steinerpt, *parypt;
+ insertvertexflags ivf;
+
+ if (b->addsteiner_algo == 1) {
+ // Split the segment at the closest point to a near segment.
+ makepoint(&steinerpt, FREESEGVERTEX);
+ for (i = 0; i < 3; i++) {
+ steinerpt[i] = startpt[i] + split * (endpt[i] - startpt[i]);
+ }
+ } else { // b->addsteiner_algo == 2
+ for (i = 0; i < 3; i++) {
+ P[i] = startpt[i] + split * (endpt[i] - startpt[i]);
+ }
+ pc = sorg(candseg);
+ pd = sdest(candseg);
+ for (i = 0; i < 3; i++) {
+ Q[i] = pc[i] + split_q * (pd[i] - pc[i]);
+ }
+ makepoint(&steinerpt, FREEVOLVERTEX);
+ for (i = 0; i < 3; i++) {
+ steinerpt[i] = 0.5 * (P[i] + Q[i]);
+ }
+ }
+
+ // We need to locate the point. Start searching from 'searchtet'.
+ if (split < 0.5) {
+ point2tetorg(startpt, searchtet);
+ } else {
+ point2tetorg(endpt, searchtet);
+ }
+ if (b->addsteiner_algo == 1) {
+ splitseg = *misseg;
+ spivot(*misseg, splitsh);
+ } else {
+ splitsh.sh = NULL;
+ splitseg.sh = NULL;
+ }
+ ivf.iloc = (int) OUTSIDE;
+ ivf.bowywat = 1;
+ ivf.lawson = 0;
+ ivf.rejflag = 0;
+ ivf.chkencflag = 0;
+ ivf.sloc = (int) ONEDGE;
+ ivf.sbowywat = 1;
+ ivf.splitbdflag = 0;
+ ivf.validflag = 1;
+ ivf.respectbdflag = 1;
+ ivf.assignmeshsize = b->metric;
+
+ if (!insertpoint(steinerpt, &searchtet, &splitsh, &splitseg, &ivf)) {
+ pointdealloc(steinerpt);
+ return 0;
+ }
+
+ if (b->addsteiner_algo == 1) {
+ // Save this Steiner point (for removal).
+ // Re-use the array 'subvertstack'.
+ subvertstack->newindex((void **) &parypt);
+ *parypt = steinerpt;
+ st_segref_count++;
+ } else { // b->addsteiner_algo == 2
+ // Queue the segment for recovery.
+ subsegstack->newindex((void **) &paryseg);
+ *paryseg = *misseg;
+ st_volref_count++;
+ }
+ if (steinerleft > 0) steinerleft--;
+
+ return 1;
+}
+
+int meshGRegionBoundaryRecovery::addsteiner4recoversegment(face* misseg,
+ int splitsegflag)
+{
+ triface *abtets, searchtet, spintet;
+ face splitsh;
+ face *paryseg;
+ point startpt, endpt;
+ point pa, pb, pd, steinerpt, *parypt;
+ enum interresult dir;
+ insertvertexflags ivf;
+ int types[2], poss[4];
+ int n, endi, success;
+ int t1ver;
+ int i;
+
+ startpt = sorg(*misseg);
+ if (pointtype(startpt) == FREESEGVERTEX) {
+ sesymself(*misseg);
+ startpt = sorg(*misseg);
+ }
+ endpt = sdest(*misseg);
+
+ // Try to recover the edge by adding Steiner points.
+ point2tetorg(startpt, searchtet);
+ dir = finddirection(&searchtet, endpt);
+ enextself(searchtet);
+ //assert(apex(searchtet) == startpt);
+
+ if (dir == ACROSSFACE) {
+ // The segment is crossing at least 3 faces. Find the common edge of
+ // the first 3 crossing faces.
+ esymself(searchtet);
+ fsym(searchtet, spintet);
+ pd = oppo(spintet);
+ for (i = 0; i < 3; i++) {
+ pa = org(spintet);
+ pb = dest(spintet);
+ //pc = apex(neightet);
+ if (tri_edge_test(pa, pb, pd, startpt, endpt, NULL, 1, types, poss)) {
+ break; // Found the edge.
+ }
+ enextself(spintet);
+ eprevself(searchtet);
+ }
+ assert(i < 3);
+ esymself(searchtet);
+ } else {
+ assert(dir == ACROSSEDGE);
+ // PLC check.
+ if (issubseg(searchtet)) {
+ face checkseg;
+ tsspivot1(searchtet, checkseg);
+ Msg::Debug("Found two segments intersect each other.");
+ pa = farsorg(*misseg);
+ pb = farsdest(*misseg);
+ Msg::Debug(" 1st: [%d,%d] %d.", pointmark(pa), pointmark(pb),
+ shellmark(*misseg));
+ pa = farsorg(checkseg);
+ pb = farsdest(checkseg);
+ Msg::Debug(" 2nd: [%d,%d] %d.", pointmark(pa), pointmark(pb),
+ shellmark(checkseg));
+ terminateBoundaryRecovery(this, 3);
+ }
+ }
+ assert(apex(searchtet) == startpt);
+
+ spintet = searchtet;
+ n = 0; endi = -1;
+ while (1) {
+ // Check if the endpt appears in the star.
+ if (apex(spintet) == endpt) {
+ endi = n; // Remember the position of endpt.
+ }
+ n++; // Count a tet in the star.
+ fnextself(spintet);
+ if (spintet.tet == searchtet.tet) break;
+ }
+ assert(n >= 3);
+
+ if (endi > 0) {
+ // endpt is also in the edge star
+ // Get all tets in the edge star.
+ abtets = new triface[n];
+ spintet = searchtet;
+ for (i = 0; i < n; i++) {
+ abtets[i] = spintet;
+ fnextself(spintet);
+ }
+
+ success = 0;
+
+ if (dir == ACROSSFACE) {
+ // Find a Steiner points inside the polyhedron.
+ if (add_steinerpt_in_schoenhardtpoly(abtets, endi, 0)) {
+ success = 1;
+ }
+ } else if (dir == ACROSSEDGE) {
+ if (n > 4) {
+ // In this case, 'abtets' is separated by the plane (containing the
+ // two intersecting edges) into two parts, P1 and P2, where P1
+ // consists of 'endi' tets: abtets[0], abtets[1], ...,
+ // abtets[endi-1], and P2 consists of 'n - endi' tets:
+ // abtets[endi], abtets[endi+1], abtets[n-1].
+ if (endi > 2) { // P1
+ // There are at least 3 tets in the first part.
+ if (add_steinerpt_in_schoenhardtpoly(abtets, endi, 0)) {
+ success++;
+ }
+ }
+ if ((n - endi) > 2) { // P2
+ // There are at least 3 tets in the first part.
+ if (add_steinerpt_in_schoenhardtpoly(&(abtets[endi]), n - endi, 0)) {
+ success++;
+ }
+ }
+ } else {
+ // In this case, a 4-to-4 flip should be re-cover the edge [c,d].
+ // However, there will be invalid tets (either zero or negtive
+ // volume). Otherwise, [c,d] should already be recovered by the
+ // recoveredge() function.
+ terminateBoundaryRecovery(this, 2); // Report a bug.
+ }
+ } else {
+ terminateBoundaryRecovery(this, 10); // A PLC problem.
+ }
+
+ delete [] abtets;
+
+ if (success) {
+ // Add the missing segment back to the recovering list.
+ subsegstack->newindex((void **) &paryseg);
+ *paryseg = *misseg;
+ return 1;
+ }
+ } // if (endi > 0)
+
+ if (!splitsegflag) {
+ return 0;
+ }
+
+ if (b->verbose > 2) {
+ printf(" Splitting segment (%d, %d)\n", pointmark(startpt),
+ pointmark(endpt));
+ }
+ steinerpt = NULL;
+
+ if (b->addsteiner_algo > 0) { // -Y/1 or -Y/2
+ if (add_steinerpt_in_segment(misseg, 3)) {
+ return 1;
+ }
+ sesymself(*misseg);
+ if (add_steinerpt_in_segment(misseg, 3)) {
+ return 1;
+ }
+ sesymself(*misseg);
+ }
+
+
+
+
+ if (steinerpt == NULL) {
+ // Split the segment at its midpoint.
+ makepoint(&steinerpt, FREESEGVERTEX);
+ for (i = 0; i < 3; i++) {
+ steinerpt[i] = 0.5 * (startpt[i] + endpt[i]);
+ }
+
+ // We need to locate the point.
+ assert(searchtet.tet != NULL); // Start searching from 'searchtet'.
+ spivot(*misseg, splitsh);
+ ivf.iloc = (int) OUTSIDE;
+ ivf.bowywat = 1;
+ ivf.lawson = 0;
+ ivf.rejflag = 0;
+ ivf.chkencflag = 0;
+ ivf.sloc = (int) ONEDGE;
+ ivf.sbowywat = 1;
+ ivf.splitbdflag = 0;
+ ivf.validflag = 1;
+ ivf.respectbdflag = 1;
+ ivf.assignmeshsize = b->metric;
+ if (!insertpoint(steinerpt, &searchtet, &splitsh, misseg, &ivf)) {
+ assert(0);
+ }
+ } // if (endi > 0)
+
+ // Save this Steiner point (for removal).
+ // Re-use the array 'subvertstack'.
+ subvertstack->newindex((void **) &parypt);
+ *parypt = steinerpt;
+
+ st_segref_count++;
+ if (steinerleft > 0) steinerleft--;
+
+ return 1;
+}
+
+int meshGRegionBoundaryRecovery::recoversegments(arraypool *misseglist,
+ int fullsearch, int steinerflag)
+{
+ triface searchtet, spintet;
+ face sseg, *paryseg;
+ point startpt, endpt;
+ int success;
+ int t1ver;
+ long bak_inpoly_count = st_volref_count;
+ long bak_segref_count = st_segref_count;
+
+ if (b->verbose > 1) {
+ printf(" Recover segments [%s level = %2d] #: %ld.\n",
+ (b->fliplinklevel > 0) ? "fixed" : "auto",
+ (b->fliplinklevel > 0) ? b->fliplinklevel : autofliplinklevel,
+ subsegstack->objects);
+ }
+
+ // Loop until 'subsegstack' is empty.
+ while (subsegstack->objects > 0l) {
+ // seglist is used as a stack.
+ subsegstack->objects--;
+ paryseg = (face *) fastlookup(subsegstack, subsegstack->objects);
+ sseg = *paryseg;
+
+ // Check if this segment has been recovered.
+ sstpivot1(sseg, searchtet);
+ if (searchtet.tet != NULL) {
+ continue; // Not a missing segment.
+ }
+
+ startpt = sorg(sseg);
+ endpt = sdest(sseg);
+
+ if (b->verbose > 2) {
+ printf(" Recover segment (%d, %d).\n", pointmark(startpt),
+ pointmark(endpt));
+ }
+
+ success = 0;
+
+ if (recoveredgebyflips(startpt, endpt, &searchtet, 0)) {
+ success = 1;
+ } else {
+ // Try to recover it from the other direction.
+ if (recoveredgebyflips(endpt, startpt, &searchtet, 0)) {
+ success = 1;
+ }
+ }
+
+ if (!success && fullsearch) {
+ if (recoveredgebyflips(startpt, endpt, &searchtet, fullsearch)) {
+ success = 1;
+ }
+ }
+
+ if (success) {
+ // Segment is recovered. Insert it.
+ // Let the segment remember an adjacent tet.
+ sstbond1(sseg, searchtet);
+ // Bond the segment to all tets containing it.
+ spintet = searchtet;
+ do {
+ tssbond1(spintet, sseg);
+ fnextself(spintet);
+ } while (spintet.tet != searchtet.tet);
+ } else {
+ if (steinerflag > 0) {
+ // Try to recover the segment but do not split it.
+ if (addsteiner4recoversegment(&sseg, 0)) {
+ success = 1;
+ }
+ if (!success && (steinerflag > 1)) {
+ // Split the segment.
+ addsteiner4recoversegment(&sseg, 1);
+ success = 1;
+ }
+ }
+ if (!success) {
+ if (misseglist != NULL) {
+ // Save this segment.
+ misseglist->newindex((void **) &paryseg);
+ *paryseg = sseg;
+ }
+ }
+ }
+
+ } // while (subsegstack->objects > 0l)
+
+ if (steinerflag) {
+ if (b->verbose > 1) {
+ // Report the number of added Steiner points.
+ if (st_volref_count > bak_inpoly_count) {
+ Msg::Debug(" Add %ld Steiner points in volume.",
+ st_volref_count - bak_inpoly_count);
+ }
+ if (st_segref_count > bak_segref_count) {
+ Msg::Debug(" Add %ld Steiner points in segments.",
+ st_segref_count - bak_segref_count);
+ }
+ }
+ }
+
+ return 0;
+}
+
+int meshGRegionBoundaryRecovery::recoverfacebyflips(point pa, point pb,
+ point pc, face *searchsh, triface* searchtet)
+{
+ triface spintet, flipedge;
+ point pd, pe;
+ enum interresult dir;
+ flipconstraints fc;
+ int types[2], poss[4], intflag;
+ int success, success1;
+ int t1ver;
+ int i, j;
+
+
+ fc.fac[0] = pa;
+ fc.fac[1] = pb;
+ fc.fac[2] = pc;
+ fc.checkflipeligibility = 1;
+ success = 0;
+
+ for (i = 0; i < 3 && !success; i++) {
+ while (1) {
+ // Get a tet containing the edge [a,b].
+ point2tetorg(fc.fac[i], *searchtet);
+ dir = finddirection(searchtet, fc.fac[(i+1)%3]);
+ //assert(dir == ACROSSVERT);
+ assert(dest(*searchtet) == fc.fac[(i+1)%3]);
+ // Search the face [a,b,c]
+ spintet = *searchtet;
+ while (1) {
+ if (apex(spintet) == fc.fac[(i+2)%3]) {
+ // Found the face.
+ *searchtet = spintet;
+ // Return the face [a,b,c].
+ for (j = i; j > 0; j--) {
+ eprevself(*searchtet);
+ }
+ success = 1;
+ break;
+ }
+ fnextself(spintet);
+ if (spintet.tet == searchtet->tet) break;
+ } // while (1)
+ if (success) break;
+ // The face is missing. Try to recover it.
+ success1 = 0;
+ // Find a crossing edge of this face.
+ spintet = *searchtet;
+ while (1) {
+ pd = apex(spintet);
+ pe = oppo(spintet);
+ if ((pd != dummypoint) && (pe != dummypoint)) {
+ // Check if [d,e] intersects [a,b,c]
+ intflag = tri_edge_test(pa, pb, pc, pd, pe, NULL, 1, types, poss);
+ if (intflag > 0) {
+ // By our assumptions, they can only intersect at a single point.
+ if (intflag == 2) {
+ // Check the intersection type.
+ dir = (enum interresult) types[0];
+ if ((dir == ACROSSFACE) || (dir == ACROSSEDGE)) {
+ // Go to the edge [d,e].
+ edestoppo(spintet, flipedge); // [d,e,a,b]
+ if (searchsh != NULL) {
+ // Check if [e,d] is a segment.
+ if (issubseg(flipedge)) {
+ if (!b->quiet) {
+ face checkseg;
+ tsspivot1(flipedge, checkseg);
+ Msg::Debug("Found a segment and a subface intersect.");
+ pd = farsorg(checkseg);
+ pe = farsdest(checkseg);
+ Msg::Debug(" 1st: [%d, %d] %d.", pointmark(pd),
+ pointmark(pe), shellmark(checkseg));
+ Msg::Debug(" 2nd: [%d,%d,%d] %d", pointmark(pa),
+ pointmark(pb), pointmark(pc), shellmark(*searchsh));
+ }
+ terminateBoundaryRecovery(this, 3);
+ }
+ }
+ // Try to flip the edge [d,e].
+ success1 = (removeedgebyflips(&flipedge, &fc) == 2);
+ } else {
+ if (dir == TOUCHFACE) {
+ point touchpt, *parypt;
+ if (poss[1] == 0) {
+ touchpt = pd; // pd is a coplanar vertex.
+ } else {
+ touchpt = pe; // pe is a coplanar vertex.
+ }
+ if (pointtype(touchpt) == FREEVOLVERTEX) {
+ // A volume Steiner point was added in this subface.
+ // Split this subface by this point.
+ face checksh, *parysh;
+ int siloc = (int) ONFACE;
+ int sbowat = 0; // Only split this subface.
+ setpointtype(touchpt, FREEFACETVERTEX);
+ sinsertvertex(touchpt, searchsh, NULL, siloc, sbowat, 0);
+ st_volref_count--;
+ st_facref_count++;
+ // Queue this vertex for removal.
+ subvertstack->newindex((void **) &parypt);
+ *parypt = touchpt;
+ // Queue new subfaces for recovery.
+ // Put all new subfaces into stack for recovery.
+ for (i = 0; i < caveshbdlist->objects; i++) {
+ // Get an old subface at edge [a, b].
+ parysh = (face *) fastlookup(caveshbdlist, i);
+ spivot(*parysh, checksh); // The new subface [a, b, p].
+ // Do not recover a deleted new face (degenerated).
+ if (checksh.sh[3] != NULL) {
+ subfacstack->newindex((void **) &parysh);
+ *parysh = checksh;
+ }
+ }
+ // Delete the old subfaces in sC(p).
+ assert(caveshlist->objects == 1);
+ for (i = 0; i < caveshlist->objects; i++) {
+ parysh = (face *) fastlookup(caveshlist, i);
+ shellfacedealloc(subfaces, parysh->sh);
+ }
+ // Clear working lists.
+ caveshlist->restart();
+ caveshbdlist->restart();
+ cavesegshlist->restart();
+ // We can return this function.
+ searchsh->sh = NULL; // It has been split.
+ success1 = 0;
+ success = 1;
+ } else {
+ // It should be a PLC problem.
+ if (pointtype(touchpt) == FREESEGVERTEX) {
+ // A segment and a subface intersect.
+ } else if (pointtype(touchpt) == FREEFACETVERTEX) {
+ // Two facets self-intersect.
+ }
+ terminateBoundaryRecovery(this, 3);
+ }
+ } else {
+ assert(0); // Unknown cases. Debug.
+ }
+ }
+ break;
+ } else { // intflag == 4. Coplanar case.
+ // This may be an input PLC error.
+ assert(0);
+ }
+ } // if (intflag > 0)
+ }
+ fnextself(spintet);
+ assert(spintet.tet != searchtet->tet);
+ } // while (1)
+ if (!success1) break;
+ } // while (1)
+ } // i
+
+ return success;
+}
+
+int meshGRegionBoundaryRecovery::recoversubfaces(arraypool *misshlist,
+ int steinerflag)
+{
+ triface searchtet, neightet, spintet;
+ face searchsh, neighsh, neineish, *parysh;
+ face bdsegs[3];
+ point startpt, endpt, apexpt, *parypt;
+ point steinerpt;
+ enum interresult dir;
+ insertvertexflags ivf;
+ int success;
+ int t1ver;
+ int i, j;
+
+ if (b->verbose > 1) {
+ printf(" Recover subfaces [%s level = %2d] #: %ld.\n",
+ (b->fliplinklevel > 0) ? "fixed" : "auto",
+ (b->fliplinklevel > 0) ? b->fliplinklevel : autofliplinklevel,
+ subfacstack->objects);
+ }
+
+ // Loop until 'subfacstack' is empty.
+ while (subfacstack->objects > 0l) {
+
+ subfacstack->objects--;
+ parysh = (face *) fastlookup(subfacstack, subfacstack->objects);
+ searchsh = *parysh;
+
+ if (searchsh.sh[3] == NULL) continue; // Skip a dead subface.
+
+ stpivot(searchsh, neightet);
+ if (neightet.tet != NULL) continue; // Skip a recovered subface.
+
+
+ if (b->verbose > 2) {
+ printf(" Recover subface (%d, %d, %d).\n",pointmark(sorg(searchsh)),
+ pointmark(sdest(searchsh)), pointmark(sapex(searchsh)));
+ }
+
+ // The three edges of the face need to be existed first.
+ for (i = 0; i < 3; i++) {
+ sspivot(searchsh, bdsegs[i]);
+ if (bdsegs[i].sh != NULL) {
+ // The segment must exist.
+ sstpivot1(bdsegs[i], searchtet);
+ if (searchtet.tet == NULL) {
+ assert(0);
+ }
+ } else {
+ // This edge is not a segment (due to a Steiner point).
+ // Check whether it exists or not.
+ success = 0;
+ startpt = sorg(searchsh);
+ endpt = sdest(searchsh);
+ point2tetorg(startpt, searchtet);
+ dir = finddirection(&searchtet, endpt);
+ if (dir == ACROSSVERT) {
+ if (dest(searchtet) == endpt) {
+ success = 1;
+ } else {
+ //assert(0); // A PLC problem.
+ terminateBoundaryRecovery(this, 3);
+ }
+ } else {
+ // The edge is missing. Try to recover it.
+ if (recoveredgebyflips(startpt, endpt, &searchtet, 0)) {
+ success = 1;
+ } else {
+ if (recoveredgebyflips(endpt, startpt, &searchtet, 0)) {
+ success = 1;
+ }
+ }
+ }
+ if (success) {
+ // Insert a temporary segment to protect this edge.
+ makeshellface(subsegs, &(bdsegs[i]));
+ setshvertices(bdsegs[i], startpt, endpt, NULL);
+ smarktest2(bdsegs[i]); // It's a temporary segment.
+ // Insert this segment into surface mesh.
+ ssbond(searchsh, bdsegs[i]);
+ spivot(searchsh, neighsh);
+ if (neighsh.sh != NULL) {
+ ssbond(neighsh, bdsegs[i]);
+ }
+ // Insert this segment into tetrahedralization.
+ sstbond1(bdsegs[i], searchtet);
+ // Bond the segment to all tets containing it.
+ spintet = searchtet;
+ do {
+ tssbond1(spintet, bdsegs[i]);
+ fnextself(spintet);
+ } while (spintet.tet != searchtet.tet);
+ } else {
+ // An edge of this subface is missing. Can't recover this subface.
+ // Delete any temporary segment that has been created.
+ for (j = (i - 1); j >= 0; j--) {
+ if (smarktest2ed(bdsegs[j])) {
+ spivot(bdsegs[j], neineish);
+ assert(neineish.sh != NULL);
+ //if (neineish.sh != NULL) {
+ ssdissolve(neineish);
+ spivot(neineish, neighsh);
+ if (neighsh.sh != NULL) {
+ ssdissolve(neighsh);
+ // There should be only two subfaces at this segment.
+ spivotself(neighsh); // SELF_CHECK
+ assert(neighsh.sh == neineish.sh);
+ }
+ //}
+ sstpivot1(bdsegs[j], searchtet);
+ assert(searchtet.tet != NULL);
+ //if (searchtet.tet != NULL) {
+ spintet = searchtet;
+ while (1) {
+ tssdissolve1(spintet);
+ fnextself(spintet);
+ if (spintet.tet == searchtet.tet) break;
+ }
+ //}
+ shellfacedealloc(subsegs, bdsegs[j].sh);
+ }
+ } // j
+ if (steinerflag) {
+ // Add a Steiner point at the midpoint of this edge.
+ if (b->verbose > 2) {
+ printf(" Add a Steiner point in subedge (%d, %d).\n",
+ pointmark(startpt), pointmark(endpt));
+ }
+ makepoint(&steinerpt, FREEFACETVERTEX);
+ for (j = 0; j < 3; j++) {
+ steinerpt[j] = 0.5 * (startpt[j] + endpt[j]);
+ }
+
+ point2tetorg(startpt, searchtet); // Start from 'searchtet'.
+ ivf.iloc = (int) OUTSIDE; // Need point location.
+ ivf.bowywat = 1;
+ ivf.lawson = 0;
+ ivf.rejflag = 0;
+ ivf.chkencflag = 0;
+ ivf.sloc = (int) ONEDGE;
+ ivf.sbowywat = 1; // Allow flips in facet.
+ ivf.splitbdflag = 0;
+ ivf.validflag = 1;
+ ivf.respectbdflag = 1;
+ ivf.assignmeshsize = b->metric;
+ if (!insertpoint(steinerpt, &searchtet, &searchsh, NULL, &ivf)) {
+ assert(0);
+ }
+ // Save this Steiner point (for removal).
+ // Re-use the array 'subvertstack'.
+ subvertstack->newindex((void **) &parypt);
+ *parypt = steinerpt;
+
+ st_facref_count++;
+ if (steinerleft > 0) steinerleft--;
+ } // if (steinerflag)
+ break;
+ }
+ }
+ senextself(searchsh);
+ } // i
+
+ if (i == 3) {
+ // Recover the subface.
+ startpt = sorg(searchsh);
+ endpt = sdest(searchsh);
+ apexpt = sapex(searchsh);
+
+ success = recoverfacebyflips(startpt,endpt,apexpt,&searchsh,&searchtet);
+
+ // Delete any temporary segment that has been created.
+ for (j = 0; j < 3; j++) {
+ if (smarktest2ed(bdsegs[j])) {
+ spivot(bdsegs[j], neineish);
+ assert(neineish.sh != NULL);
+ //if (neineish.sh != NULL) {
+ ssdissolve(neineish);
+ spivot(neineish, neighsh);
+ if (neighsh.sh != NULL) {
+ ssdissolve(neighsh);
+ // There should be only two subfaces at this segment.
+ spivotself(neighsh); // SELF_CHECK
+ assert(neighsh.sh == neineish.sh);
+ }
+ //}
+ sstpivot1(bdsegs[j], neightet);
+ assert(neightet.tet != NULL);
+ //if (neightet.tet != NULL) {
+ spintet = neightet;
+ while (1) {
+ tssdissolve1(spintet);
+ fnextself(spintet);
+ if (spintet.tet == neightet.tet) break;
+ }
+ //}
+ shellfacedealloc(subsegs, bdsegs[j].sh);
+ }
+ } // j
+
+ if (success) {
+ if (searchsh.sh != NULL) {
+ // Face is recovered. Insert it.
+ tsbond(searchtet, searchsh);
+ fsymself(searchtet);
+ sesymself(searchsh);
+ tsbond(searchtet, searchsh);
+ }
+ } else {
+ if (steinerflag) {
+ // Add a Steiner point at the barycenter of this subface.
+ if (b->verbose > 2) {
+ printf(" Add a Steiner point in subface (%d, %d, %d).\n",
+ pointmark(startpt), pointmark(endpt), pointmark(apexpt));
+ }
+ makepoint(&steinerpt, FREEFACETVERTEX);
+ for (j = 0; j < 3; j++) {
+ steinerpt[j] = (startpt[j] + endpt[j] + apexpt[j]) / 3.0;
+ }
+
+ point2tetorg(startpt, searchtet); // Start from 'searchtet'.
+ ivf.iloc = (int) OUTSIDE; // Need point location.
+ ivf.bowywat = 1;
+ ivf.lawson = 0;
+ ivf.rejflag = 0;
+ ivf.chkencflag = 0;
+ ivf.sloc = (int) ONFACE;
+ ivf.sbowywat = 1; // Allow flips in facet.
+ ivf.splitbdflag = 0;
+ ivf.validflag = 1;
+ ivf.respectbdflag = 1;
+ ivf.assignmeshsize = b->metric;
+ if (!insertpoint(steinerpt, &searchtet, &searchsh, NULL, &ivf)) {
+ assert(0);
+ }
+ // Save this Steiner point (for removal).
+ // Re-use the array 'subvertstack'.
+ subvertstack->newindex((void **) &parypt);
+ *parypt = steinerpt;
+
+ st_facref_count++;
+ if (steinerleft > 0) steinerleft--;
+ } // if (steinerflag)
+ }
+ } else {
+ success = 0;
+ }
+
+ if (!success) {
+ if (misshlist != NULL) {
+ // Save this subface.
+ misshlist->newindex((void **) &parysh);
+ *parysh = searchsh;
+ }
+ }
+
+ } // while (subfacstack->objects > 0l)
+
+ return 0;
+}
+
+int meshGRegionBoundaryRecovery::getvertexstar(int fullstar, point searchpt,
+ arraypool* tetlist, arraypool* vertlist, arraypool* shlist)
+{
+ triface searchtet, neightet, *parytet;
+ face checksh, *parysh;
+ point pt, *parypt;
+ int collectflag;
+ int t1ver;
+ int i, j;
+
+ point2tetorg(searchpt, searchtet);
+
+ // Go to the opposite face (the link face) of the vertex.
+ enextesymself(searchtet);
+ //assert(oppo(searchtet) == searchpt);
+ infect(searchtet); // Collect this tet (link face).
+ tetlist->newindex((void **) &parytet);
+ *parytet = searchtet;
+ if (vertlist != NULL) {
+ // Collect three (link) vertices.
+ j = (searchtet.ver & 3); // The current vertex index.
+ for (i = 1; i < 4; i++) {
+ pt = (point) searchtet.tet[4 + ((j + i) % 4)];
+ pinfect(pt);
+ vertlist->newindex((void **) &parypt);
+ *parypt = pt;
+ }
+ }
+
+ collectflag = 1;
+ esym(searchtet, neightet);
+ if (issubface(neightet)) {
+ if (shlist != NULL) {
+ tspivot(neightet, checksh);
+ if (!sinfected(checksh)) {
+ // Collect this subface (link edge).
+ sinfected(checksh);
+ shlist->newindex((void **) &parysh);
+ *parysh = checksh;
+ }
+ }
+ if (!fullstar) {
+ collectflag = 0;
+ }
+ }
+ if (collectflag) {
+ fsymself(neightet); // Goto the adj tet of this face.
+ esymself(neightet); // Goto the oppo face of this vertex.
+ // assert(oppo(neightet) == searchpt);
+ infect(neightet); // Collect this tet (link face).
+ tetlist->newindex((void **) &parytet);
+ *parytet = neightet;
+ if (vertlist != NULL) {
+ // Collect its apex.
+ pt = apex(neightet);
+ pinfect(pt);
+ vertlist->newindex((void **) &parypt);
+ *parypt = pt;
+ }
+ } // if (collectflag)
+
+ // Continue to collect all tets in the star.
+ for (i = 0; i < tetlist->objects; i++) {
+ searchtet = * (triface *) fastlookup(tetlist, i);
+ // Note that 'searchtet' is a face opposite to 'searchpt', and the neighbor
+ // tet at the current edge is already collected.
+ // Check the neighbors at the other two edges of this face.
+ for (j = 0; j < 2; j++) {
+ collectflag = 1;
+ enextself(searchtet);
+ esym(searchtet, neightet);
+ if (issubface(neightet)) {
+ if (shlist != NULL) {
+ tspivot(neightet, checksh);
+ if (!sinfected(checksh)) {
+ // Collect this subface (link edge).
+ sinfected(checksh);
+ shlist->newindex((void **) &parysh);
+ *parysh = checksh;
+ }
+ }
+ if (!fullstar) {
+ collectflag = 0;
+ }
+ }
+ if (collectflag) {
+ fsymself(neightet);
+ if (!infected(neightet)) {
+ esymself(neightet); // Go to the face opposite to 'searchpt'.
+ infect(neightet);
+ tetlist->newindex((void **) &parytet);
+ *parytet = neightet;
+ if (vertlist != NULL) {
+ // Check if a vertex is collected.
+ pt = apex(neightet);
+ if (!pinfected(pt)) {
+ pinfect(pt);
+ vertlist->newindex((void **) &parypt);
+ *parypt = pt;
+ }
+ }
+ } // if (!infected(neightet))
+ } // if (collectflag)
+ } // j
+ } // i
+
+
+ // Uninfect the list of tets and vertices.
+ for (i = 0; i < tetlist->objects; i++) {
+ parytet = (triface *) fastlookup(tetlist, i);
+ uninfect(*parytet);
+ }
+
+ if (vertlist != NULL) {
+ for (i = 0; i < vertlist->objects; i++) {
+ parypt = (point *) fastlookup(vertlist, i);
+ puninfect(*parypt);
+ }
+ }
+
+ if (shlist != NULL) {
+ for (i = 0; i < shlist->objects; i++) {
+ parysh = (face *) fastlookup(shlist, i);
+ suninfect(*parysh);
+ }
+ }
+
+ return (int) tetlist->objects;
+}
+
+int meshGRegionBoundaryRecovery::getedge(point e1, point e2, triface *tedge)
+{
+ triface searchtet, neightet, *parytet;
+ point pt;
+ int done;
+ int i, j;
+
+ if (b->verbose > 2) {
+ printf(" Get edge from %d to %d.\n", pointmark(e1), pointmark(e2));
+ }
+
+ // Quickly check if 'tedge' is just this edge.
+ if (!isdeadtet(*tedge)) {
+ if (org(*tedge) == e1) {
+ if (dest(*tedge) == e2) {
+ return 1;
+ }
+ } else if (org(*tedge) == e2) {
+ if (dest(*tedge) == e1) {
+ esymself(*tedge);
+ return 1;
+ }
+ }
+ }
+
+ // Search for the edge [e1, e2].
+ point2tetorg(e1, *tedge);
+ finddirection(tedge, e2);
+ if (dest(*tedge) == e2) {
+ return 1;
+ } else {
+ // Search for the edge [e2, e1].
+ point2tetorg(e2, *tedge);
+ finddirection(tedge, e1);
+ if (dest(*tedge) == e1) {
+ esymself(*tedge);
+ return 1;
+ }
+ }
+
+
+ // Go to the link face of e1.
+ point2tetorg(e1, searchtet);
+ enextesymself(searchtet);
+ //assert(oppo(searchtet) == e1);
+
+ assert(cavebdrylist->objects == 0l); // It will re-use this list.
+ arraypool *tetlist = cavebdrylist;
+
+ // Search e2.
+ for (i = 0; i < 3; i++) {
+ pt = apex(searchtet);
+ if (pt == e2) {
+ // Found. 'searchtet' is [#,#,e2,e1].
+ eorgoppo(searchtet, *tedge); // [e1,e2,#,#].
+ return 1;
+ }
+ enextself(searchtet);
+ }
+
+ // Get the adjacent link face at 'searchtet'.
+ fnext(searchtet, neightet);
+ esymself(neightet);
+ // assert(oppo(neightet) == e1);
+ pt = apex(neightet);
+ if (pt == e2) {
+ // Found. 'neightet' is [#,#,e2,e1].
+ eorgoppo(neightet, *tedge); // [e1,e2,#,#].
+ return 1;
+ }
+
+ // Continue searching in the link face of e1.
+ infect(searchtet);
+ tetlist->newindex((void **) &parytet);
+ *parytet = searchtet;
+ infect(neightet);
+ tetlist->newindex((void **) &parytet);
+ *parytet = neightet;
+
+ done = 0;
+
+ for (i = 0; (i < tetlist->objects) && !done; i++) {
+ parytet = (triface *) fastlookup(tetlist, i);
+ searchtet = *parytet;
+ for (j = 0; (j < 2) && !done; j++) {
+ enextself(searchtet);
+ fnext(searchtet, neightet);
+ if (!infected(neightet)) {
+ esymself(neightet);
+ pt = apex(neightet);
+ if (pt == e2) {
+ // Found. 'neightet' is [#,#,e2,e1].
+ eorgoppo(neightet, *tedge);
+ done = 1;
+ } else {
+ infect(neightet);
+ tetlist->newindex((void **) &parytet);
+ *parytet = neightet;
+ }
+ }
+ } // j
+ } // i
+
+ // Uninfect the list of visited tets.
+ for (i = 0; i < tetlist->objects; i++) {
+ parytet = (triface *) fastlookup(tetlist, i);
+ uninfect(*parytet);
+ }
+ tetlist->restart();
+
+ return done;
+}
+
+int meshGRegionBoundaryRecovery::reduceedgesatvertex(point startpt,
+ arraypool* endptlist)
+{
+ triface searchtet;
+ point *pendpt, *parypt;
+ enum interresult dir;
+ flipconstraints fc;
+ int reduceflag;
+ int count;
+ int n, i, j;
+
+
+ fc.remvert = startpt;
+ fc.checkflipeligibility = 1;
+
+ while (1) {
+
+ count = 0;
+
+ for (i = 0; i < endptlist->objects; i++) {
+ pendpt = (point *) fastlookup(endptlist, i);
+ if (*pendpt == dummypoint) {
+ continue; // Do not reduce a virtual edge.
+ }
+ reduceflag = 0;
+ // Find the edge.
+ if (nonconvex) {
+ if (getedge(startpt, *pendpt, &searchtet)) {
+ dir = ACROSSVERT;
+ } else {
+ // The edge does not exist (was flipped).
+ dir = INTERSECT;
+ }
+ } else {
+ point2tetorg(startpt, searchtet);
+ dir = finddirection(&searchtet, *pendpt);
+ }
+ if (dir == ACROSSVERT) {
+ if (dest(searchtet) == *pendpt) {
+ // Do not flip a segment.
+ if (!issubseg(searchtet)) {
+ n = removeedgebyflips(&searchtet, &fc);
+ if (n == 2) {
+ reduceflag = 1;
+ }
+ }
+ } else {
+ assert(0); // A plc problem.
+ }
+ } else {
+ // The edge has been flipped.
+ reduceflag = 1;
+ }
+ if (reduceflag) {
+ count++;
+ // Move the last vertex into this slot.
+ j = endptlist->objects - 1;
+ parypt = (point *) fastlookup(endptlist, j);
+ *pendpt = *parypt;
+ endptlist->objects--;
+ i--;
+ }
+ } // i
+
+ if (count == 0) {
+ // No edge is reduced.
+ break;
+ }
+
+ } // while (1)
+
+ return (int) endptlist->objects;
+}
+
+int meshGRegionBoundaryRecovery::removevertexbyflips(point steinerpt)
+{
+ triface *fliptets = NULL, wrktets[4];
+ triface searchtet, spintet, neightet;
+ face parentsh, spinsh, checksh;
+ face leftseg, rightseg, checkseg;
+ point lpt = NULL, rpt = NULL, apexpt; //, *parypt;
+ flipconstraints fc;
+ enum verttype vt;
+ enum locateresult loc;
+ int valence, removeflag;
+ int slawson;
+ int t1ver;
+ int n, i;
+
+ vt = pointtype(steinerpt);
+
+ if (vt == FREESEGVERTEX) {
+ sdecode(point2sh(steinerpt), leftseg);
+ assert(leftseg.sh != NULL);
+ leftseg.shver = 0;
+ if (sdest(leftseg) == steinerpt) {
+ senext(leftseg, rightseg);
+ spivotself(rightseg);
+ assert(rightseg.sh != NULL);
+ rightseg.shver = 0;
+ assert(sorg(rightseg) == steinerpt);
+ } else {
+ assert(sorg(leftseg) == steinerpt);
+ rightseg = leftseg;
+ senext2(rightseg, leftseg);
+ spivotself(leftseg);
+ assert(leftseg.sh != NULL);
+ leftseg.shver = 0;
+ assert(sdest(leftseg) == steinerpt);
+ }
+ lpt = sorg(leftseg);
+ rpt = sdest(rightseg);
+ if (b->verbose > 2) {
+ printf(" Removing Steiner point %d in segment (%d, %d).\n",
+ pointmark(steinerpt), pointmark(lpt), pointmark(rpt));
+
+ }
+ } else if (vt == FREEFACETVERTEX) {
+ if (b->verbose > 2) {
+ printf(" Removing Steiner point %d in facet.\n",
+ pointmark(steinerpt));
+ }
+ } else if (vt == FREEVOLVERTEX) {
+ if (b->verbose > 2) {
+ printf(" Removing Steiner point %d in volume.\n",
+ pointmark(steinerpt));
+ }
+ } else if (vt == VOLVERTEX) {
+ if (b->verbose > 2) {
+ printf(" Removing a point %d in volume.\n",
+ pointmark(steinerpt));
+ }
+ } else {
+ // It is not a Steiner point.
+ return 0;
+ }
+
+ // Try to reduce the number of edges at 'p' by flips.
+ getvertexstar(1, steinerpt, cavetetlist, cavetetvertlist, NULL);
+ cavetetlist->restart(); // This list may be re-used.
+ if (cavetetvertlist->objects > 3l) {
+ valence = reduceedgesatvertex(steinerpt, cavetetvertlist);
+ } else {
+ valence = cavetetvertlist->objects;
+ }
+ assert(cavetetlist->objects == 0l);
+ cavetetvertlist->restart();
+
+ removeflag = 0;
+
+ if (valence == 4) {
+ // Only 4 vertices (4 tets) left! 'p' is inside the convex hull of the 4
+ // vertices. This case is due to that 'p' is not exactly on the segment.
+ point2tetorg(steinerpt, searchtet);
+ loc = INTETRAHEDRON;
+ removeflag = 1;
+ } else if (valence == 5) {
+ // There are 5 edges.
+ if (vt == FREESEGVERTEX) {
+ sstpivot1(leftseg, searchtet);
+ if (org(searchtet) != steinerpt) {
+ esymself(searchtet);
+ }
+ assert(org(searchtet) == steinerpt);
+ assert(dest(searchtet) == lpt);
+ i = 0; // Count the numbe of tet at the edge [p,lpt].
+ neightet.tet = NULL; // Init the face.
+ spintet = searchtet;
+ while (1) {
+ i++;
+ if (apex(spintet) == rpt) {
+ // Remember the face containing the edge [lpt, rpt].
+ neightet = spintet;
+ }
+ fnextself(spintet);
+ if (spintet.tet == searchtet.tet) break;
+ }
+ if (i == 3) {
+ // This case has been checked below.
+ } else if (i == 4) {
+ // There are 4 tets sharing at [p,lpt]. There must be 4 tets sharing
+ // at [p,rpt]. There must be a face [p, lpt, rpt].
+ if (apex(neightet) == rpt) {
+ // The edge (segment) has been already recovered!
+ // Check if a 6-to-2 flip is possible (to remove 'p').
+ // Let 'searchtet' be [p,d,a,b]
+ esym(neightet, searchtet);
+ enextself(searchtet);
+ // Check if there are exactly three tets at edge [p,d].
+ wrktets[0] = searchtet; // [p,d,a,b]
+ for (i = 0; i < 2; i++) {
+ fnext(wrktets[i], wrktets[i+1]); // [p,d,b,c], [p,d,c,a]
+ }
+ if (apex(wrktets[0]) == oppo(wrktets[2])) {
+ loc = ONFACE;
+ removeflag = 1;
+ }
+ }
+ }
+ } else if (vt == FREEFACETVERTEX) {
+ // It is possible to do a 6-to-2 flip to remove the vertex.
+ point2tetorg(steinerpt, searchtet);
+ // Get the three faces of 'searchtet' which share at p.
+ // All faces has p as origin.
+ wrktets[0] = searchtet;
+ wrktets[1] = searchtet;
+ esymself(wrktets[1]);
+ enextself(wrktets[1]);
+ wrktets[2] = searchtet;
+ eprevself(wrktets[2]);
+ esymself(wrktets[2]);
+ // All internal edges of the six tets have valance either 3 or 4.
+ // Get one edge which has valance 3.
+ searchtet.tet = NULL;
+ for (i = 0; i < 3; i++) {
+ spintet = wrktets[i];
+ valence = 0;
+ while (1) {
+ valence++;
+ fnextself(spintet);
+ if (spintet.tet == wrktets[i].tet) break;
+ }
+ if (valence == 3) {
+ // Found the edge.
+ searchtet = wrktets[i];
+ break;
+ } else {
+ assert(valence == 4);
+ }
+ }
+ assert(searchtet.tet != NULL);
+ // Note, we do not detach the three subfaces at p.
+ // They will be removed within a 4-to-1 flip.
+ loc = ONFACE;
+ removeflag = 1;
+ } else {
+ // assert(0); DEBUG IT
+ }
+ //removeflag = 1;
+ }
+
+ if (!removeflag) {
+ if (vt == FREESEGVERTEX) {
+ // Check is it possible to recover the edge [lpt,rpt].
+ // The condition to check is: Whether each tet containing 'leftseg' is
+ // adjacent to a tet containing 'rightseg'.
+ sstpivot1(leftseg, searchtet);
+ if (org(searchtet) != steinerpt) {
+ esymself(searchtet);
+ }
+ assert(org(searchtet) == steinerpt);
+ assert(dest(searchtet) == lpt);
+ spintet = searchtet;
+ while (1) {
+ // Go to the bottom face of this tet.
+ eprev(spintet, neightet);
+ esymself(neightet); // [steinerpt, p1, p2, lpt]
+ // Get the adjacent tet.
+ fsymself(neightet); // [p1, steinerpt, p2, rpt]
+ if (oppo(neightet) != rpt) {
+ // Found a non-matching adjacent tet.
+ break;
+ }
+ fnextself(spintet);
+ if (spintet.tet == searchtet.tet) {
+ // 'searchtet' is [p,d,p1,p2].
+ loc = ONEDGE;
+ removeflag = 1;
+ break;
+ }
+ }
+ } // if (vt == FREESEGVERTEX)
+ }
+
+ if (!removeflag) {
+ if (vt == FREESEGVERTEX) {
+ // Check if the edge [lpt, rpt] exists.
+ if (getedge(lpt, rpt, &searchtet)) {
+ // We have recovered this edge. Shift the vertex into the volume.
+ // We can recover this edge if the subfaces are not recovered yet.
+ if (!checksubfaceflag) {
+ // Remove the vertex from the surface mesh.
+ // This will re-create the segment [lpt, rpt] and re-triangulate
+ // all the facets at the segment.
+ // Detach the subsegments from their surrounding tets.
+ for (i = 0; i < 2; i++) {
+ checkseg = (i == 0) ? leftseg : rightseg;
+ sstpivot1(checkseg, neightet);
+ spintet = neightet;
+ while (1) {
+ tssdissolve1(spintet);
+ fnextself(spintet);
+ if (spintet.tet == neightet.tet) break;
+ }
+ sstdissolve1(checkseg);
+ } // i
+ slawson = 1; // Do lawson flip after removal.
+ spivot(rightseg, parentsh); // 'rightseg' has p as its origin.
+ sremovevertex(steinerpt, &parentsh, &rightseg, slawson);
+ // Clear the list for new subfaces.
+ caveshbdlist->restart();
+ // Insert the new segment.
+ assert(org(searchtet) == lpt);
+ assert(dest(searchtet) == rpt);
+ sstbond1(rightseg, searchtet);
+ spintet = searchtet;
+ while (1) {
+ tsspivot1(spintet, checkseg); // FOR DEBUG ONLY
+ assert(checkseg.sh == NULL); // FOR DEBUG ONLY
+ tssbond1(spintet, rightseg);
+ fnextself(spintet);
+ if (spintet.tet == searchtet.tet) break;
+ }
+ // The Steiner point has been shifted into the volume.
+ setpointtype(steinerpt, FREEVOLVERTEX);
+ st_segref_count--;
+ st_volref_count++;
+ return 1;
+ } // if (!checksubfaceflag)
+ } // if (getedge(...))
+ } // if (vt == FREESEGVERTEX)
+ } // if (!removeflag)
+
+ if (!removeflag) {
+ return 0;
+ }
+
+ assert(org(searchtet) == steinerpt);
+
+ if (vt == FREESEGVERTEX) {
+ // Detach the subsegments from their surronding tets.
+ for (i = 0; i < 2; i++) {
+ checkseg = (i == 0) ? leftseg : rightseg;
+ sstpivot1(checkseg, neightet);
+ spintet = neightet;
+ while (1) {
+ tssdissolve1(spintet);
+ fnextself(spintet);
+ if (spintet.tet == neightet.tet) break;
+ }
+ sstdissolve1(checkseg);
+ } // i
+ if (checksubfaceflag) {
+ // Detach the subfaces at the subsegments from their attached tets.
+ for (i = 0; i < 2; i++) {
+ checkseg = (i == 0) ? leftseg : rightseg;
+ spivot(checkseg, parentsh);
+ if (parentsh.sh != NULL) {
+ spinsh = parentsh;
+ while (1) {
+ stpivot(spinsh, neightet);
+ if (neightet.tet != NULL) {
+ tsdissolve(neightet);
+ }
+ sesymself(spinsh);
+ stpivot(spinsh, neightet);
+ if (neightet.tet != NULL) {
+ tsdissolve(neightet);
+ }
+ stdissolve(spinsh);
+ spivotself(spinsh); // Go to the next subface.
+ if (spinsh.sh == parentsh.sh) break;
+ }
+ }
+ } // i
+ } // if (checksubfaceflag)
+ }
+
+ if (loc == INTETRAHEDRON) {
+ // Collect the four tets containing 'p'.
+ fliptets = new triface[4];
+ fliptets[0] = searchtet; // [p,d,a,b]
+ for (i = 0; i < 2; i++) {
+ fnext(fliptets[i], fliptets[i+1]); // [p,d,b,c], [p,d,c,a]
+ }
+ eprev(fliptets[0], fliptets[3]);
+ fnextself(fliptets[3]); // it is [a,p,b,c]
+ eprevself(fliptets[3]);
+ esymself(fliptets[3]); // [a,b,c,p].
+ // Remove p by a 4-to-1 flip.
+ //flip41(fliptets, 1, 0, 0);
+ flip41(fliptets, 1, &fc);
+ //recenttet = fliptets[0];
+ } else if (loc == ONFACE) {
+ // Let the original two tets be [a,b,c,d] and [b,a,c,e]. And p is in
+ // face [a,b,c]. Let 'searchtet' be the tet [p,d,a,b].
+ // Collect the six tets containing 'p'.
+ fliptets = new triface[6];
+ fliptets[0] = searchtet; // [p,d,a,b]
+ for (i = 0; i < 2; i++) {
+ fnext(fliptets[i], fliptets[i+1]); // [p,d,b,c], [p,d,c,a]
+ }
+ eprev(fliptets[0], fliptets[3]);
+ fnextself(fliptets[3]); // [a,p,b,e]
+ esymself(fliptets[3]); // [p,a,e,b]
+ eprevself(fliptets[3]); // [e,p,a,b]
+ for (i = 3; i < 5; i++) {
+ fnext(fliptets[i], fliptets[i+1]); // [e,p,b,c], [e,p,c,a]
+ }
+ if (vt == FREEFACETVERTEX) {
+ // We need to determine the location of three subfaces at p.
+ valence = 0; // Re-use it.
+ // Check if subfaces are all located in the lower three tets.
+ // i.e., [e,p,a,b], [e,p,b,c], and [e,p,c,a].
+ for (i = 3; i < 6; i++) {
+ if (issubface(fliptets[i])) valence++;
+ }
+ if (valence > 0) {
+ assert(valence == 2);
+ // We must do 3-to-2 flip in the upper part. We simply re-arrange
+ // the six tets.
+ for (i = 0; i < 3; i++) {
+ esym(fliptets[i+3], wrktets[i]);
+ esym(fliptets[i], fliptets[i+3]);
+ fliptets[i] = wrktets[i];
+ }
+ // Swap the last two pairs, i.e., [1]<->[[2], and [4]<->[5]
+ wrktets[1] = fliptets[1];
+ fliptets[1] = fliptets[2];
+ fliptets[2] = wrktets[1];
+ wrktets[1] = fliptets[4];
+ fliptets[4] = fliptets[5];
+ fliptets[5] = wrktets[1];
+ }
+ }
+ // Remove p by a 6-to-2 flip, which is a combination of two flips:
+ // a 3-to-2 (deletes the edge [e,p]), and
+ // a 4-to-1 (deletes the vertex p).
+ // First do a 3-to-2 flip on [e,p,a,b],[e,p,b,c],[e,p,c,a]. It creates
+ // two new tets: [a,b,c,p] and [b,a,c,e]. The new tet [a,b,c,p] is
+ // degenerate (has zero volume). It will be deleted in the followed
+ // 4-to-1 flip.
+ //flip32(&(fliptets[3]), 1, 0, 0);
+ flip32(&(fliptets[3]), 1, &fc);
+ // Second do a 4-to-1 flip on [p,d,a,b],[p,d,b,c],[p,d,c,a],[a,b,c,p].
+ // This creates a new tet [a,b,c,d].
+ //flip41(fliptets, 1, 0, 0);
+ flip41(fliptets, 1, &fc);
+ //recenttet = fliptets[0];
+ } else if (loc == ONEDGE) {
+ // Let the original edge be [e,d] and p is in [e,d]. Assume there are n
+ // tets sharing at edge [e,d] originally. We number the link vertices
+ // of [e,d]: p_0, p_1, ..., p_n-1. 'searchtet' is [p,d,p_0,p_1].
+ // Count the number of tets at edge [e,p] and [p,d] (this is n).
+ n = 0;
+ spintet = searchtet;
+ while (1) {
+ n++;
+ fnextself(spintet);
+ if (spintet.tet == searchtet.tet) break;
+ }
+ assert(n >= 3);
+ // Collect the 2n tets containing 'p'.
+ fliptets = new triface[2 * n];
+ fliptets[0] = searchtet; // [p,b,p_0,p_1]
+ for (i = 0; i < (n - 1); i++) {
+ fnext(fliptets[i], fliptets[i+1]); // [p,d,p_i,p_i+1].
+ }
+ eprev(fliptets[0], fliptets[n]);
+ fnextself(fliptets[n]); // [p_0,p,p_1,e]
+ esymself(fliptets[n]); // [p,p_0,e,p_1]
+ eprevself(fliptets[n]); // [e,p,p_0,p_1]
+ for (i = n; i < (2 * n - 1); i++) {
+ fnext(fliptets[i], fliptets[i+1]); // [e,p,p_i,p_i+1].
+ }
+ // Remove p by a 2n-to-n flip, it is a sequence of n flips:
+ // - Do a 2-to-3 flip on
+ // [p_0,p_1,p,d] and
+ // [p,p_1,p_0,e].
+ // This produces:
+ // [e,d,p_0,p_1],
+ // [e,d,p_1,p] (degenerated), and
+ // [e,d,p,p_0] (degenerated).
+ wrktets[0] = fliptets[0]; // [p,d,p_0,p_1]
+ eprevself(wrktets[0]); // [p_0,p,d,p_1]
+ esymself(wrktets[0]); // [p,p_0,p_1,d]
+ enextself(wrktets[0]); // [p_0,p_1,p,d] [0]
+ wrktets[1] = fliptets[n]; // [e,p,p_0,p_1]
+ enextself(wrktets[1]); // [p,p_0,e,p_1]
+ esymself(wrktets[1]); // [p_0,p,p_1,e]
+ eprevself(wrktets[1]); // [p_1,p_0,p,e] [1]
+ //flip23(wrktets, 1, 0, 0);
+ flip23(wrktets, 1, &fc);
+ // Save the new tet [e,d,p,p_0] (degenerated).
+ fliptets[n] = wrktets[2];
+ // Save the new tet [e,d,p_0,p_1].
+ fliptets[0] = wrktets[0];
+ // - Repeat from i = 1 to n-2: (n - 2) flips
+ // - Do a 3-to-2 flip on
+ // [p,p_i,d,e],
+ // [p,p_i,e,p_i+1], and
+ // [p,p_i,p_i+1,d].
+ // This produces:
+ // [d,e,p_i+1,p_i], and
+ // [e,d,p_i+1,p] (degenerated).
+ for (i = 1; i < (n - 1); i++) {
+ wrktets[0] = wrktets[1]; // [e,d,p_i,p] (degenerated).
+ enextself(wrktets[0]); // [d,p_i,e,p] (...)
+ esymself(wrktets[0]); // [p_i,d,p,e] (...)
+ eprevself(wrktets[0]); // [p,p_i,d,e] (degenerated) [0].
+ wrktets[1] = fliptets[n+i]; // [e,p,p_i,p_i+1]
+ enextself(wrktets[1]); // [p,p_i,e,p_i+1] [1]
+ wrktets[2] = fliptets[i]; // [p,d,p_i,p_i+1]
+ eprevself(wrktets[2]); // [p_i,p,d,p_i+1]
+ esymself(wrktets[2]); // [p,p_i,p_i+1,d] [2]
+ //flip32(wrktets, 1, 0, 0);
+ flip32(wrktets, 1, &fc);
+ // Save the new tet [e,d,p_i,p_i+1]. // FOR DEBUG ONLY
+ fliptets[i] = wrktets[0]; // [d,e,p_i+1,p_i] // FOR DEBUG ONLY
+ esymself(fliptets[i]); // [e,d,p_i,p_i+1] // FOR DEBUG ONLY
+ }
+ // - Do a 4-to-1 flip on
+ // [p,p_0,e,d], [d,e,p_0,p],
+ // [p,p_0,d,p_n-1], [e,p_n-1,p_0,p],
+ // [p,p_0,p_n-1,e], [p_0,p_n-1,d,p], and
+ // [e,d,p_n-1,p].
+ // This produces
+ // [e,d,p_n-1,p_0] and
+ // deletes p.
+ wrktets[3] = wrktets[1]; // [e,d,p_n-1,p] (degenerated) [3]
+ wrktets[0] = fliptets[n]; // [e,d,p,p_0] (degenerated)
+ eprevself(wrktets[0]); // [p,e,d,p_0] (...)
+ esymself(wrktets[0]); // [e,p,p_0,d] (...)
+ enextself(wrktets[0]); // [p,p_0,e,d] (degenerated) [0]
+ wrktets[1] = fliptets[n-1]; // [p,d,p_n-1,p_0]
+ esymself(wrktets[1]); // [d,p,p_0,p_n-1]
+ enextself(wrktets[1]); // [p,p_0,d,p_n-1] [1]
+ wrktets[2] = fliptets[2*n-1]; // [e,p,p_n-1,p_0]
+ enextself(wrktets[2]); // [p_p_n-1,e,p_0]
+ esymself(wrktets[2]); // [p_n-1,p,p_0,e]
+ enextself(wrktets[2]); // [p,p_0,p_n-1,e] [2]
+ //flip41(wrktets, 1, 0, 0);
+ flip41(wrktets, 1, &fc);
+ // Save the new tet [e,d,p_n-1,p_0] // FOR DEBUG ONLY
+ fliptets[n-1] = wrktets[0]; // [e,d,p_n-1,p_0] // FOR DEBUG ONLY
+ //recenttet = fliptets[0];
+ } else {
+ assert(0); // Unknown location.
+ } // if (iloc == ...)
+
+ delete [] fliptets;
+
+ if (vt == FREESEGVERTEX) {
+ // Remove the vertex from the surface mesh.
+ // This will re-create the segment [lpt, rpt] and re-triangulate
+ // all the facets at the segment.
+ // Only do lawson flip when subfaces are not recovery yet.
+ slawson = (checksubfaceflag ? 0 : 1);
+ spivot(rightseg, parentsh); // 'rightseg' has p as its origin.
+ sremovevertex(steinerpt, &parentsh, &rightseg, slawson);
+
+ // The original segment is returned in 'rightseg'.
+ rightseg.shver = 0;
+ assert(sorg(rightseg) == lpt);
+ assert(sdest(rightseg) == rpt);
+
+ // Insert the new segment.
+ point2tetorg(lpt, searchtet);
+ finddirection(&searchtet, rpt);
+ assert(dest(searchtet) == rpt);
+ sstbond1(rightseg, searchtet);
+ spintet = searchtet;
+ while (1) {
+ tsspivot1(spintet, checkseg); // FOR DEBUG ONLY
+ assert(checkseg.sh == NULL); // FOR DEBUG ONLY
+ tssbond1(spintet, rightseg);
+ fnextself(spintet);
+ if (spintet.tet == searchtet.tet) break;
+ }
+
+ if (checksubfaceflag) {
+ // Insert subfaces at segment [lpt,rpt] into the tetrahedralization.
+ spivot(rightseg, parentsh);
+ if (parentsh.sh != NULL) {
+ spinsh = parentsh;
+ while (1) {
+ if (sorg(spinsh) != lpt) {
+ sesymself(spinsh);
+ assert(sorg(spinsh) == lpt);
+ }
+ assert(sdest(spinsh) == rpt);
+ apexpt = sapex(spinsh);
+ // Find the adjacent tet of [lpt,rpt,apexpt];
+ spintet = searchtet;
+ while (1) {
+ if (apex(spintet) == apexpt) {
+ tsbond(spintet, spinsh);
+ sesymself(spinsh); // Get to another side of this face.
+ fsym(spintet, neightet);
+ tsbond(neightet, spinsh);
+ sesymself(spinsh); // Get back to the original side.
+ break;
+ }
+ fnextself(spintet);
+ assert(spintet.tet != searchtet.tet);
+ //if (spintet.tet == searchtet.tet) break;
+ }
+ spivotself(spinsh);
+ if (spinsh.sh == parentsh.sh) break;
+ }
+ }
+ } // if (checksubfaceflag)
+
+ // Clear the set of new subfaces.
+ caveshbdlist->restart();
+ } // if (vt == FREESEGVERTEX)
+
+ // The point has been removed.
+ if (pointtype(steinerpt) != UNUSEDVERTEX) {
+ setpointtype(steinerpt, UNUSEDVERTEX);
+ unuverts++;
+ }
+ if (vt != VOLVERTEX) {
+ // Update the correspinding counters.
+ if (vt == FREESEGVERTEX) {
+ st_segref_count--;
+ } else if (vt == FREEFACETVERTEX) {
+ st_facref_count--;
+ } else if (vt == FREEVOLVERTEX) {
+ st_volref_count--;
+ }
+ if (steinerleft > 0) steinerleft++;
+ }
+
+ return 1;
+}
+
+int meshGRegionBoundaryRecovery::suppressbdrysteinerpoint(point steinerpt)
+{
+ face parentsh, spinsh, *parysh;
+ face leftseg, rightseg;
+ point lpt = NULL, rpt = NULL;
+ int i;
+
+ verttype vt = pointtype(steinerpt);
+
+ if (vt == FREESEGVERTEX) {
+ sdecode(point2sh(steinerpt), leftseg);
+ leftseg.shver = 0;
+ if (sdest(leftseg) == steinerpt) {
+ senext(leftseg, rightseg);
+ spivotself(rightseg);
+ assert(rightseg.sh != NULL);
+ rightseg.shver = 0;
+ assert(sorg(rightseg) == steinerpt);
+ } else {
+ assert(sorg(leftseg) == steinerpt);
+ rightseg = leftseg;
+ senext2(rightseg, leftseg);
+ spivotself(leftseg);
+ assert(leftseg.sh != NULL);
+ leftseg.shver = 0;
+ assert(sdest(leftseg) == steinerpt);
+ }
+ lpt = sorg(leftseg);
+ rpt = sdest(rightseg);
+ if (b->verbose > 2) {
+ printf(" Suppressing Steiner point %d in segment (%d, %d).\n",
+ pointmark(steinerpt), pointmark(lpt), pointmark(rpt));
+ }
+ // Get all subfaces at the left segment [lpt, steinerpt].
+ spivot(leftseg, parentsh);
+ spinsh = parentsh;
+ while (1) {
+ cavesegshlist->newindex((void **) &parysh);
+ *parysh = spinsh;
+ // Orient the face consistently.
+ if (sorg(*parysh)!= sorg(parentsh)) sesymself(*parysh);
+ spivotself(spinsh);
+ if (spinsh.sh == NULL) break;
+ if (spinsh.sh == parentsh.sh) break;
+ }
+ if (cavesegshlist->objects < 2) {
+ // It is a single segment. Not handle it yet.
+ cavesegshlist->restart();
+ return 0;
+ }
+ } else if (vt == FREEFACETVERTEX) {
+ if (b->verbose > 2) {
+ printf(" Suppressing Steiner point %d from facet.\n",
+ pointmark(steinerpt));
+ }
+ sdecode(point2sh(steinerpt), parentsh);
+ // A facet Steiner point. There are exactly two sectors.
+ for (i = 0; i < 2; i++) {
+ cavesegshlist->newindex((void **) &parysh);
+ *parysh = parentsh;
+ sesymself(parentsh);
+ }
+ } else {
+ return 0;
+ }
+
+ triface searchtet, neightet, *parytet;
+ point pa, pb, pc, pd;
+ REAL v1[3], v2[3], len, u;
+
+ REAL startpt[3] = {0,}, samplept[3] = {0,}, candpt[3] = {0,};
+ REAL ori, minvol, smallvol;
+ int samplesize;
+ int it, j, k;
+
+ int n = (int) cavesegshlist->objects;
+ point *newsteiners = new point[n];
+ for (i = 0; i < n; i++) newsteiners[i] = NULL;
+
+ // Search for each sector an interior vertex.
+ for (i = 0; i < cavesegshlist->objects; i++) {
+ parysh = (face *) fastlookup(cavesegshlist, i);
+ stpivot(*parysh, searchtet);
+ // Skip it if it is outside.
+ if (ishulltet(searchtet)) continue;
+ // Get the "half-ball". Tets in 'cavetetlist' all contain 'steinerpt' as
+ // opposite. Subfaces in 'caveshlist' all contain 'steinerpt' as apex.
+ // Moreover, subfaces are oriented towards the interior of the ball.
+ setpoint2tet(steinerpt, encode(searchtet));
+ getvertexstar(0, steinerpt, cavetetlist, NULL, caveshlist);
+ // Calculate the searching vector.
+ pa = sorg(*parysh);
+ pb = sdest(*parysh);
+ pc = sapex(*parysh);
+ facenormal(pa, pb, pc, v1, 1, NULL);
+ len = sqrt(dot(v1, v1));
+ assert(len > 0.0);
+ v1[0] /= len;
+ v1[1] /= len;
+ v1[2] /= len;
+ if (vt == FREESEGVERTEX) {
+ parysh = (face *) fastlookup(cavesegshlist, (i + 1) % n);
+ pd = sapex(*parysh);
+ facenormal(pb, pa, pd, v2, 1, NULL);
+ len = sqrt(dot(v2, v2));
+ assert(len > 0.0);
+ v2[0] /= len;
+ v2[1] /= len;
+ v2[2] /= len;
+ // Average the two vectors.
+ v1[0] = 0.5 * (v1[0] + v2[0]);
+ v1[1] = 0.5 * (v1[1] + v2[1]);
+ v1[2] = 0.5 * (v1[2] + v2[2]);
+ }
+ // Search the intersection of the ray starting from 'steinerpt' to
+ // the search direction 'v1' and the shell of the half-ball.
+ // - Construct an endpoint.
+ len = distance(pa, pb);
+ v2[0] = steinerpt[0] + len * v1[0];
+ v2[1] = steinerpt[1] + len * v1[1];
+ v2[2] = steinerpt[2] + len * v1[2];
+ for (j = 0; j < cavetetlist->objects; j++) {
+ parytet = (triface *) fastlookup(cavetetlist, j);
+ pa = org(*parytet);
+ pb = dest(*parytet);
+ pc = apex(*parytet);
+ // Test if the ray startpt->v2 lies in the cone: where 'steinerpt'
+ // is the apex, and three sides are defined by the triangle
+ // [pa, pb, pc].
+ ori = orient3d(steinerpt, pa, pb, v2);
+ if (ori >= 0) {
+ ori = orient3d(steinerpt, pb, pc, v2);
+ if (ori >= 0) {
+ ori = orient3d(steinerpt, pc, pa, v2);
+ if (ori >= 0) {
+ // Found! Calculate the intersection.
+ planelineint(pa, pb, pc, steinerpt, v2, startpt, &u);
+ assert(u != 0.0);
+ break;
+ }
+ }
+ }
+ } // j
+ assert(j < cavetetlist->objects); // There must be an intersection.
+ // Close the ball by adding the subfaces.
+ for (j = 0; j < caveshlist->objects; j++) {
+ parysh = (face *) fastlookup(caveshlist, j);
+ stpivot(*parysh, neightet);
+ cavetetlist->newindex((void **) &parytet);
+ *parytet = neightet;
+ }
+ // Search a best point inside the segment [startpt, steinerpt].
+ it = 0;
+ samplesize = 100;
+ v1[0] = steinerpt[0] - startpt[0];
+ v1[1] = steinerpt[1] - startpt[1];
+ v1[2] = steinerpt[2] - startpt[2];
+ minvol = -1.0;
+ while (it < 3) {
+ for (j = 1; j < samplesize - 1; j++) {
+ samplept[0] = startpt[0] + ((REAL) j / (REAL) samplesize) * v1[0];
+ samplept[1] = startpt[1] + ((REAL) j / (REAL) samplesize) * v1[1];
+ samplept[2] = startpt[2] + ((REAL) j / (REAL) samplesize) * v1[2];
+ // Find the minimum volume for 'samplept'.
+ smallvol = -1;
+ for (k = 0; k < cavetetlist->objects; k++) {
+ parytet = (triface *) fastlookup(cavetetlist, k);
+ pa = org(*parytet);
+ pb = dest(*parytet);
+ pc = apex(*parytet);
+ ori = orient3d(pb, pa, pc, samplept);
+ if (ori <= 0) {
+ break; // An invalid tet.
+ }
+ if (smallvol == -1) {
+ smallvol = ori;
+ } else {
+ if (ori < smallvol) smallvol = ori;
+ }
+ } // k
+ if (k == cavetetlist->objects) {
+ // Found a valid point. Remember it.
+ if (minvol == -1.0) {
+ candpt[0] = samplept[0];
+ candpt[1] = samplept[1];
+ candpt[2] = samplept[2];
+ minvol = smallvol;
+ } else {
+ if (minvol < smallvol) {
+ // It is a better location. Remember it.
+ candpt[0] = samplept[0];
+ candpt[1] = samplept[1];
+ candpt[2] = samplept[2];
+ minvol = smallvol;
+ } else {
+ // No improvement of smallest volume.
+ // Since we are searching along the line [startpt, steinerpy],
+ // The smallest volume can only be decreased later.
+ break;
+ }
+ }
+ }
+ } // j
+ if (minvol > 0) break;
+ samplesize *= 10;
+ it++;
+ } // while (it < 3)
+ if (minvol == -1.0) {
+ // Failed to find a valid point.
+ cavetetlist->restart();
+ caveshlist->restart();
+ break;
+ }
+ // Create a new Steiner point inside this section.
+ makepoint(&(newsteiners[i]), FREEVOLVERTEX);
+ newsteiners[i][0] = candpt[0];
+ newsteiners[i][1] = candpt[1];
+ newsteiners[i][2] = candpt[2];
+ cavetetlist->restart();
+ caveshlist->restart();
+ } // i
+
+ if (i < cavesegshlist->objects) {
+ // Failed to suppress the vertex.
+ for (; i > 0; i--) {
+ if (newsteiners[i - 1] != NULL) {
+ pointdealloc(newsteiners[i - 1]);
+ }
+ }
+ delete [] newsteiners;
+ cavesegshlist->restart();
+ return 0;
+ }
+
+ // Remove p from the segment or the facet.
+ triface newtet, newface, spintet;
+ face newsh, neighsh;
+ face *splitseg, checkseg;
+ int slawson = 0; // Do not do flip afterword.
+ int t1ver;
+
+ if (vt == FREESEGVERTEX) {
+ // Detach 'leftseg' and 'rightseg' from their adjacent tets.
+ // These two subsegments will be deleted.
+ sstpivot1(leftseg, neightet);
+ spintet = neightet;
+ while (1) {
+ tssdissolve1(spintet);
+ fnextself(spintet);
+ if (spintet.tet == neightet.tet) break;
+ }
+ sstpivot1(rightseg, neightet);
+ spintet = neightet;
+ while (1) {
+ tssdissolve1(spintet);
+ fnextself(spintet);
+ if (spintet.tet == neightet.tet) break;
+ }
+ }
+
+ // Loop through all sectors bounded by facets at this segment.
+ // Within each sector, create a new Steiner point 'np', and replace 'p'
+ // by 'np' for all tets in this sector.
+ for (i = 0; i < cavesegshlist->objects; i++) {
+ parysh = (face *) fastlookup(cavesegshlist, i);
+ // 'parysh' is the face [lpt, steinerpt, #].
+ stpivot(*parysh, neightet);
+ // Get all tets in this sector.
+ setpoint2tet(steinerpt, encode(neightet));
+ getvertexstar(0, steinerpt, cavetetlist, NULL, caveshlist);
+ if (!ishulltet(neightet)) {
+ // Within each tet in the ball, replace 'p' by 'np'.
+ for (j = 0; j < cavetetlist->objects; j++) {
+ parytet = (triface *) fastlookup(cavetetlist, j);
+ setoppo(*parytet, newsteiners[i]);
+ } // j
+ // Point to a parent tet.
+ parytet = (triface *) fastlookup(cavetetlist, 0);
+ setpoint2tet(newsteiners[i], (tetrahedron) (parytet->tet));
+ st_volref_count++;
+ if (steinerleft > 0) steinerleft--;
+ }
+ // Disconnect the set of boundary faces. They're temporarily open faces.
+ // They will be connected to the new tets after 'p' is removed.
+ for (j = 0; j < caveshlist->objects; j++) {
+ // Get a boundary face.
+ parysh = (face *) fastlookup(caveshlist, j);
+ stpivot(*parysh, neightet);
+ //assert(apex(neightet) == newpt);
+ // Clear the connection at this face.
+ dissolve(neightet);
+ tsdissolve(neightet);
+ }
+ // Clear the working lists.
+ cavetetlist->restart();
+ caveshlist->restart();
+ } // i
+ cavesegshlist->restart();
+
+ if (vt == FREESEGVERTEX) {
+ spivot(rightseg, parentsh); // 'rightseg' has p as its origin.
+ splitseg = &rightseg;
+ } else {
+ if (sdest(parentsh) == steinerpt) {
+ senextself(parentsh);
+ } else if (sapex(parentsh) == steinerpt) {
+ senext2self(parentsh);
+ }
+ assert(sorg(parentsh) == steinerpt);
+ splitseg = NULL;
+ }
+ sremovevertex(steinerpt, &parentsh, splitseg, slawson);
+
+ if (vt == FREESEGVERTEX) {
+ // The original segment is returned in 'rightseg'.
+ rightseg.shver = 0;
+ }
+
+ // For each new subface, create two new tets at each side of it.
+ // Both of the two new tets have its opposite be dummypoint.
+ for (i = 0; i < caveshbdlist->objects; i++) {
+ parysh = (face *) fastlookup(caveshbdlist, i);
+ sinfect(*parysh); // Mark it for connecting new tets.
+ newsh = *parysh;
+ pa = sorg(newsh);
+ pb = sdest(newsh);
+ pc = sapex(newsh);
+ maketetrahedron(&newtet);
+ maketetrahedron(&neightet);
+ setvertices(newtet, pa, pb, pc, dummypoint);
+ setvertices(neightet, pb, pa, pc, dummypoint);
+ bond(newtet, neightet);
+ tsbond(newtet, newsh);
+ sesymself(newsh);
+ tsbond(neightet, newsh);
+ }
+ // Temporarily increase the hullsize.
+ hullsize += (caveshbdlist->objects * 2l);
+
+ if (vt == FREESEGVERTEX) {
+ // Connecting new tets at the recovered segment.
+ spivot(rightseg, parentsh);
+ assert(parentsh.sh != NULL);
+ spinsh = parentsh;
+ while (1) {
+ if (sorg(spinsh) != lpt) sesymself(spinsh);
+ // Get the new tet at this subface.
+ stpivot(spinsh, newtet);
+ tssbond1(newtet, rightseg);
+ // Go to the other face at this segment.
+ spivot(spinsh, neighsh);
+ if (sorg(neighsh) != lpt) sesymself(neighsh);
+ sesymself(neighsh);
+ stpivot(neighsh, neightet);
+ tssbond1(neightet, rightseg);
+ sstbond1(rightseg, neightet);
+ // Connecting two adjacent tets at this segment.
+ esymself(newtet);
+ esymself(neightet);
+ // Connect the two tets (at rightseg) together.
+ bond(newtet, neightet);
+ // Go to the next subface.
+ spivotself(spinsh);
+ if (spinsh.sh == parentsh.sh) break;
+ }
+ }
+
+ // Connecting new tets at new subfaces together.
+ for (i = 0; i < caveshbdlist->objects; i++) {
+ parysh = (face *) fastlookup(caveshbdlist, i);
+ newsh = *parysh;
+ //assert(sinfected(newsh));
+ // Each new subface contains two new tets.
+ for (k = 0; k < 2; k++) {
+ stpivot(newsh, newtet);
+ for (j = 0; j < 3; j++) {
+ // Check if this side is open.
+ esym(newtet, newface);
+ if (newface.tet[newface.ver & 3] == NULL) {
+ // An open face. Connect it to its adjacent tet.
+ sspivot(newsh, checkseg);
+ if (checkseg.sh != NULL) {
+ // A segment. It must not be the recovered segment.
+ tssbond1(newtet, checkseg);
+ sstbond1(checkseg, newtet);
+ }
+ spivot(newsh, neighsh);
+ if (neighsh.sh != NULL) {
+ // The adjacent subface exists. It's not a dangling segment.
+ if (sorg(neighsh) != sdest(newsh)) sesymself(neighsh);
+ stpivot(neighsh, neightet);
+ if (sinfected(neighsh)) {
+ esymself(neightet);
+ assert(neightet.tet[neightet.ver & 3] == NULL);
+ } else {
+ // Search for an open face at this edge.
+ spintet = neightet;
+ while (1) {
+ esym(spintet, searchtet);
+ fsym(searchtet, spintet);
+ if (spintet.tet == NULL) break;
+ assert(spintet.tet != neightet.tet);
+ }
+ // Found an open face at 'searchtet'.
+ neightet = searchtet;
+ }
+ } else {
+ // The edge (at 'newsh') is a dangling segment.
+ assert(checkseg.sh != NULL);
+ // Get an adjacent tet at this segment.
+ sstpivot1(checkseg, neightet);
+ assert(!isdeadtet(neightet));
+ if (org(neightet) != sdest(newsh)) esymself(neightet);
+ assert((org(neightet) == sdest(newsh)) &&
+ (dest(neightet) == sorg(newsh)));
+ // Search for an open face at this edge.
+ spintet = neightet;
+ while (1) {
+ esym(spintet, searchtet);
+ fsym(searchtet, spintet);
+ if (spintet.tet == NULL) break;
+ assert(spintet.tet != neightet.tet);
+ }
+ // Found an open face at 'searchtet'.
+ neightet = searchtet;
+ }
+ pc = apex(newface);
+ if (apex(neightet) == steinerpt) {
+ // Exterior case. The 'neightet' is a hull tet which contain
+ // 'steinerpt'. It will be deleted after 'steinerpt' is removed.
+ assert(pc == dummypoint);
+ caveoldtetlist->newindex((void **) &parytet);
+ *parytet = neightet;
+ // Connect newface to the adjacent hull tet of 'neightet', which
+ // has the same edge as 'newface', and does not has 'steinerpt'.
+ fnextself(neightet);
+ } else {
+ if (pc == dummypoint) {
+ if (apex(neightet) != dummypoint) {
+ setapex(newface, apex(neightet));
+ // A hull tet has turned into an interior tet.
+ hullsize--; // Must update the hullsize.
+ }
+ }
+ }
+ bond(newface, neightet);
+ } // if (newface.tet[newface.ver & 3] == NULL)
+ enextself(newtet);
+ senextself(newsh);
+ } // j
+ sesymself(newsh);
+ } // k
+ } // i
+
+ // Unmark all new subfaces.
+ for (i = 0; i < caveshbdlist->objects; i++) {
+ parysh = (face *) fastlookup(caveshbdlist, i);
+ suninfect(*parysh);
+ }
+ caveshbdlist->restart();
+
+ if (caveoldtetlist->objects > 0l) {
+ // Delete hull tets which contain 'steinerpt'.
+ for (i = 0; i < caveoldtetlist->objects; i++) {
+ parytet = (triface *) fastlookup(caveoldtetlist, i);
+ tetrahedrondealloc(parytet->tet);
+ }
+ // Must update the hullsize.
+ hullsize -= caveoldtetlist->objects;
+ caveoldtetlist->restart();
+ }
+
+ setpointtype(steinerpt, UNUSEDVERTEX);
+ unuverts++;
+ if (vt == FREESEGVERTEX) {
+ st_segref_count--;
+ } else { // vt == FREEFACETVERTEX
+ st_facref_count--;
+ }
+ if (steinerleft > 0) steinerleft++; // We've removed a Steiner points.
+
+
+ point *parypt;
+ int steinercount = 0;
+
+ int bak_fliplinklevel = b->fliplinklevel;
+ b->fliplinklevel = 100000; // Unlimited flip level.
+
+ // Try to remove newly added Steiner points.
+ for (i = 0; i < n; i++) {
+ if (newsteiners[i] != NULL) {
+ if (!removevertexbyflips(newsteiners[i])) {
+ if (b->nobisect_param > 0) { // Not -Y0
+ // Save it in subvertstack for removal.
+ subvertstack->newindex((void **) &parypt);
+ *parypt = newsteiners[i];
+ }
+ steinercount++;
+ }
+ }
+ }
+
+ b->fliplinklevel = bak_fliplinklevel;
+
+ if (steinercount > 0) {
+ if (b->verbose > 2) {
+ printf(" Added %d interior Steiner points.\n", steinercount);
+ }
+ }
+
+ delete [] newsteiners;
+
+ return 1;
+}
+
+
+int meshGRegionBoundaryRecovery::suppresssteinerpoints()
+{
+
+ Msg::Info(" --> Suppressing Steiner points ...");
+ point rempt, *parypt;
+
+ int bak_fliplinklevel = b->fliplinklevel;
+ b->fliplinklevel = 100000; // Unlimited flip level.
+ int suppcount = 0, remcount = 0;
+ int i;
+
+ // Try to suppress boundary Steiner points.
+ for (i = 0; i < subvertstack->objects; i++) {
+ parypt = (point *) fastlookup(subvertstack, i);
+ rempt = *parypt;
+ if (pointtype(rempt) != UNUSEDVERTEX) {
+ if ((pointtype(rempt) == FREESEGVERTEX) ||
+ (pointtype(rempt) == FREEFACETVERTEX)) {
+ if (suppressbdrysteinerpoint(rempt)) {
+ suppcount++;
+ }
+ }
+ }
+ } // i
+
+ if (suppcount > 0) {
+ Msg::Info(" Suppressed %d boundary Steiner points.", suppcount);
+ }
+
+ if (b->nobisect_param > 0) { // -Y1
+ for (i = 0; i < subvertstack->objects; i++) {
+ parypt = (point *) fastlookup(subvertstack, i);
+ rempt = *parypt;
+ if (pointtype(rempt) != UNUSEDVERTEX) {
+ if (pointtype(rempt) == FREEVOLVERTEX) {
+ if (removevertexbyflips(rempt)) {
+ remcount++;
+ }
+ }
+ }
+ }
+ }
+
+ if (remcount > 0) {
+ if (b->verbose) {
+ printf(" Removed %d interior Steiner points.\n", remcount);
+ }
+ }
+
+ b->fliplinklevel = bak_fliplinklevel;
+
+ if (b->nobisect_param > 1) { // -Y2
+ // Smooth interior Steiner points.
+ optparameters opm;
+ triface *parytet;
+ point *ppt;
+ REAL ori;
+ int smtcount, count, ivcount;
+ int nt, j;
+
+ // Point smooth options.
+ opm.max_min_volume = 1;
+ opm.numofsearchdirs = 20;
+ opm.searchstep = 0.001;
+ opm.maxiter = 30; // Limit the maximum iterations.
+
+ smtcount = 0;
+
+ do {
+
+ nt = 0;
+
+ while (1) {
+ count = 0;
+ ivcount = 0; // Clear the inverted count.
+
+ for (i = 0; i < subvertstack->objects; i++) {
+ parypt = (point *) fastlookup(subvertstack, i);
+ rempt = *parypt;
+ if (pointtype(rempt) == FREEVOLVERTEX) {
+ getvertexstar(1, rempt, cavetetlist, NULL, NULL);
+ // Calculate the initial smallest volume (maybe zero or negative).
+ for (j = 0; j < cavetetlist->objects; j++) {
+ parytet = (triface *) fastlookup(cavetetlist, j);
+ ppt = (point *) &(parytet->tet[4]);
+ ori = orient3dfast(ppt[1], ppt[0], ppt[2], ppt[3]);
+ if (j == 0) {
+ opm.initval = ori;
+ } else {
+ if (opm.initval > ori) opm.initval = ori;
+ }
+ }
+ if (smoothpoint(rempt, cavetetlist, 1, &opm)) {
+ count++;
+ }
+ if (opm.imprval <= 0.0) {
+ ivcount++; // The mesh contains inverted elements.
+ }
+ cavetetlist->restart();
+ }
+ } // i
+
+ smtcount += count;
+
+ if (count == 0) {
+ // No point has been smoothed.
+ break;
+ }
+
+ nt++;
+ if (nt > 2) {
+ break; // Already three iterations.
+ }
+ } // while
+
+ if (ivcount > 0) {
+ // There are inverted elements!
+ if (opm.maxiter > 0) {
+ // Set unlimited smoothing steps. Try again.
+ opm.numofsearchdirs = 30;
+ opm.searchstep = 0.0001;
+ opm.maxiter = -1;
+ continue;
+ }
+ }
+
+ break;
+ } while (1); // Additional loop for (ivcount > 0)
+
+ if (ivcount > 0) {
+ printf("BUG Report! The mesh contain inverted elements.\n");
+ }
+
+ if (b->verbose) {
+ if (smtcount > 0) {
+ printf(" Smoothed %d Steiner points.\n", smtcount);
+ }
+ }
+ } // -Y2
+
+ subvertstack->restart();
+
+ return 1;
+}
+
+void meshGRegionBoundaryRecovery::recoverboundary(clock_t&)
+{
+ arraypool *misseglist, *misshlist;
+ arraypool *bdrysteinerptlist;
+ face searchsh, *parysh;
+ face searchseg, *paryseg;
+ point rempt, *parypt;
+ long ms; // The number of missing segments/subfaces.
+ int nit; // The number of iterations.
+ int s, i;
+
+ // Counters.
+ long bak_segref_count, bak_facref_count, bak_volref_count;
+
+ if (!b->quiet) {
+ Msg::Info(" --> Recovering boundaries ...");
+ }
+
+
+ if (b->verbose) {
+ Msg::Info(" --> Recovering segments ...");
+ }
+
+ // Segments will be introduced.
+ checksubsegflag = 1;
+
+ misseglist = new arraypool(sizeof(face), 8);
+ bdrysteinerptlist = new arraypool(sizeof(point), 8);
+
+ // In random order.
+ subsegs->traversalinit();
+ for (i = 0; i < subsegs->items; i++) {
+ s = randomnation(i + 1);
+ // Move the s-th seg to the i-th.
+ subsegstack->newindex((void **) &paryseg);
+ *paryseg = * (face *) fastlookup(subsegstack, s);
+ // Put i-th seg to be the s-th.
+ searchseg.sh = shellfacetraverse(subsegs);
+ paryseg = (face *) fastlookup(subsegstack, s);
+ *paryseg = searchseg;
+ }
+
+ // The init number of missing segments.
+ ms = subsegs->items;
+ nit = 0;
+ if (b->fliplinklevel < 0) {
+ autofliplinklevel = 1; // Init value.
+ }
+
+ // First, trying to recover segments by only doing flips.
+ while (1) {
+ recoversegments(misseglist, 0, 0);
+
+ if (misseglist->objects > 0) {
+ if (b->fliplinklevel >= 0) {
+ break;
+ } else {
+ if (misseglist->objects >= ms) {
+ nit++;
+ if (nit >= 3) {
+ //break;
+ // Do the last round with unbounded flip link level.
+ b->fliplinklevel = 100000;
+ }
+ } else {
+ ms = misseglist->objects;
+ if (nit > 0) {
+ nit--;
+ }
+ }
+ for (i = 0; i < misseglist->objects; i++) {
+ subsegstack->newindex((void **) &paryseg);
+ *paryseg = * (face *) fastlookup(misseglist, i);
+ }
+ misseglist->restart();
+ autofliplinklevel+=b->fliplinklevelinc;
+ }
+ } else {
+ // All segments are recovered.
+ break;
+ }
+ } // while (1)
+
+ if (b->verbose) {
+ printf(" %ld (%ld) segments are recovered (missing).\n",
+ subsegs->items - misseglist->objects, misseglist->objects);
+ }
+
+ if (misseglist->objects > 0) {
+ // Second, trying to recover segments by doing more flips (fullsearch).
+ while (misseglist->objects > 0) {
+ ms = misseglist->objects;
+ for (i = 0; i < misseglist->objects; i++) {
+ subsegstack->newindex((void **) &paryseg);
+ *paryseg = * (face *) fastlookup(misseglist, i);
+ }
+ misseglist->restart();
+
+ recoversegments(misseglist, 1, 0);
+
+ if (misseglist->objects < ms) {
+ // The number of missing segments is reduced.
+ continue;
+ } else {
+ break;
+ }
+ }
+ if (b->verbose) {
+ printf(" %ld (%ld) segments are recovered (missing).\n",
+ subsegs->items - misseglist->objects, misseglist->objects);
+ }
+ }
+
+ if (misseglist->objects > 0) {
+ // Third, trying to recover segments by doing more flips (fullsearch)
+ // and adding Steiner points in the volume.
+ while (misseglist->objects > 0) {
+ ms = misseglist->objects;
+ for (i = 0; i < misseglist->objects; i++) {
+ subsegstack->newindex((void **) &paryseg);
+ *paryseg = * (face *) fastlookup(misseglist, i);
+ }
+ misseglist->restart();
+
+ recoversegments(misseglist, 1, 1);
+
+ if (misseglist->objects < ms) {
+ // The number of missing segments is reduced.
+ continue;
+ } else {
+ break;
+ }
+ }
+ if (b->verbose) {
+ printf(" Added %ld Steiner points in volume.\n", st_volref_count);
+ }
+ }
+
+ if (misseglist->objects > 0) {
+ // Last, trying to recover segments by doing more flips (fullsearch),
+ // and adding Steiner points in the volume, and splitting segments.
+ long bak_inpoly_count = st_volref_count; //st_inpoly_count;
+ for (i = 0; i < misseglist->objects; i++) {
+ subsegstack->newindex((void **) &paryseg);
+ *paryseg = * (face *) fastlookup(misseglist, i);
+ }
+ misseglist->restart();
+
+ recoversegments(misseglist, 1, 2);
+
+ if (b->verbose) {
+ printf(" Added %ld Steiner points in segments.\n", st_segref_count);
+ if (st_volref_count > bak_inpoly_count) {
+ printf(" Added another %ld Steiner points in volume.\n",
+ st_volref_count - bak_inpoly_count);
+ }
+ }
+ assert(misseglist->objects == 0l);
+ }
+
+
+ if (st_segref_count > 0) {
+ // Try to remove the Steiner points added in segments.
+ bak_segref_count = st_segref_count;
+ bak_volref_count = st_volref_count;
+ for (i = 0; i < subvertstack->objects; i++) {
+ // Get the Steiner point.
+ parypt = (point *) fastlookup(subvertstack, i);
+ rempt = *parypt;
+ if (!removevertexbyflips(rempt)) {
+ // Save it in list.
+ bdrysteinerptlist->newindex((void **) &parypt);
+ *parypt = rempt;
+ }
+ }
+ if (b->verbose) {
+ if (st_segref_count < bak_segref_count) {
+ if (bak_volref_count < st_volref_count) {
+ printf(" Suppressed %ld Steiner points in segments.\n",
+ st_volref_count - bak_volref_count);
+ }
+ if ((st_segref_count + (st_volref_count - bak_volref_count)) <
+ bak_segref_count) {
+ printf(" Removed %ld Steiner points in segments.\n",
+ bak_segref_count -
+ (st_segref_count + (st_volref_count - bak_volref_count)));
+ }
+ }
+ }
+ subvertstack->restart();
+ }
+
+
+ if (b->verbose) {
+ printf(" Recovering facets.\n");
+ }
+
+ // Subfaces will be introduced.
+ checksubfaceflag = 1;
+
+ misshlist = new arraypool(sizeof(face), 8);
+
+ // Randomly order the subfaces.
+ subfaces->traversalinit();
+ for (i = 0; i < subfaces->items; i++) {
+ s = randomnation(i + 1);
+ // Move the s-th subface to the i-th.
+ subfacstack->newindex((void **) &parysh);
+ *parysh = * (face *) fastlookup(subfacstack, s);
+ // Put i-th subface to be the s-th.
+ searchsh.sh = shellfacetraverse(subfaces);
+ parysh = (face *) fastlookup(subfacstack, s);
+ *parysh = searchsh;
+ }
+
+ ms = subfaces->items;
+ nit = 0;
+ b->fliplinklevel = -1; // Init.
+ if (b->fliplinklevel < 0) {
+ autofliplinklevel = 1; // Init value.
+ }
+
+ while (1) {
+ recoversubfaces(misshlist, 0);
+
+ if (misshlist->objects > 0) {
+ if (b->fliplinklevel >= 0) {
+ break;
+ } else {
+ if (misshlist->objects >= ms) {
+ nit++;
+ if (nit >= 3) {
+ //break;
+ // Do the last round with unbounded flip link level.
+ b->fliplinklevel = 100000;
+ }
+ } else {
+ ms = misshlist->objects;
+ if (nit > 0) {
+ nit--;
+ }
+ }
+ for (i = 0; i < misshlist->objects; i++) {
+ subfacstack->newindex((void **) &parysh);
+ *parysh = * (face *) fastlookup(misshlist, i);
+ }
+ misshlist->restart();
+ autofliplinklevel+=b->fliplinklevelinc;
+ }
+ } else {
+ // All subfaces are recovered.
+ break;
+ }
+ } // while (1)
+
+ if (b->verbose) {
+ printf(" %ld (%ld) subfaces are recovered (missing).\n",
+ subfaces->items - misshlist->objects, misshlist->objects);
+ }
+
+ if (misshlist->objects > 0) {
+ // There are missing subfaces. Add Steiner points.
+ for (i = 0; i < misshlist->objects; i++) {
+ subfacstack->newindex((void **) &parysh);
+ *parysh = * (face *) fastlookup(misshlist, i);
+ }
+ misshlist->restart();
+
+ recoversubfaces(NULL, 1);
+
+ if (b->verbose) {
+ printf(" Added %ld Steiner points in facets.\n", st_facref_count);
+ }
+ }
+
+
+ if (st_facref_count > 0) {
+ // Try to remove the Steiner points added in facets.
+ bak_facref_count = st_facref_count;
+ for (i = 0; i < subvertstack->objects; i++) {
+ // Get the Steiner point.
+ parypt = (point *) fastlookup(subvertstack, i);
+ rempt = *parypt;
+ if (!removevertexbyflips(*parypt)) {
+ // Save it in list.
+ bdrysteinerptlist->newindex((void **) &parypt);
+ *parypt = rempt;
+ }
+ }
+ if (b->verbose) {
+ if (st_facref_count < bak_facref_count) {
+ printf(" Removed %ld Steiner points in facets.\n",
+ bak_facref_count - st_facref_count);
+ }
+ }
+ subvertstack->restart();
+ }
+
+
+ if (bdrysteinerptlist->objects > 0) {
+ if (b->verbose) {
+ printf(" %ld Steiner points remained in boundary.\n",
+ bdrysteinerptlist->objects);
+ }
+ } // if
+
+
+ // Accumulate the dynamic memory.
+ totalworkmemory += (misseglist->totalmemory + misshlist->totalmemory +
+ bdrysteinerptlist->totalmemory);
+
+ delete bdrysteinerptlist;
+ delete misseglist;
+ delete misshlist;
+}
+
+//// ////
+//// ////
+//// steiner_cxx //////////////////////////////////////////////////////////////
+
+
+//// reconstruct_cxx //////////////////////////////////////////////////////////
+//// ////
+//// ////
+
+void meshGRegionBoundaryRecovery::carveholes()
+{
+ arraypool *tetarray, *hullarray;
+ triface tetloop, neightet, *parytet, *parytet1;
+ triface *regiontets = NULL;
+ face checksh, *parysh;
+ face checkseg;
+ point ptloop, *parypt;
+ int t1ver;
+ int i, j, k;
+
+ if (!b->quiet) {
+ if (b->convex) {
+ Msg::Info(" --> Marking exterior tetrahedra ...");
+ } else {
+ Msg::Info(" --> Removing exterior tetrahedra ...");
+ }
+ }
+
+ // Initialize the pool of exterior tets.
+ tetarray = new arraypool(sizeof(triface), 10);
+ hullarray = new arraypool(sizeof(triface), 10);
+
+ // Collect unprotected tets and hull tets.
+ tetrahedrons->traversalinit();
+ tetloop.ver = 11; // The face opposite to dummypoint.
+ tetloop.tet = alltetrahedrontraverse();
+ while (tetloop.tet != (tetrahedron *) NULL) {
+ if (ishulltet(tetloop)) {
+ // Is this side protected by a subface?
+ if (!issubface(tetloop)) {
+ // Collect an unprotected hull tet and tet.
+ infect(tetloop);
+ hullarray->newindex((void **) &parytet);
+ *parytet = tetloop;
+ // tetloop's face number is 11 & 3 = 3.
+ decode(tetloop.tet[3], neightet);
+ if (!infected(neightet)) {
+ infect(neightet);
+ tetarray->newindex((void **) &parytet);
+ *parytet = neightet;
+ }
+ }
+ }
+ tetloop.tet = alltetrahedrontraverse();
+ }
+
+ // Collect all exterior tets (in concave place and in holes).
+ for (i = 0; i < tetarray->objects; i++) {
+ parytet = (triface *) fastlookup(tetarray, i);
+ j = (parytet->ver & 3); // j is the current face number.
+ // Check the other three adjacent tets.
+ for (k = 1; k < 4; k++) {
+ decode(parytet->tet[(j + k) % 4], neightet);
+ // neightet may be a hull tet.
+ if (!infected(neightet)) {
+ // Is neightet protected by a subface.
+ if (!issubface(neightet)) {
+ // Not proected. Collect it. (It must not be a hull tet).
+ infect(neightet);
+ tetarray->newindex((void **) &parytet1);
+ *parytet1 = neightet;
+ } else {
+ // Protected. Check if it is a hull tet.
+ if (ishulltet(neightet)) {
+ // A hull tet. Collect it.
+ infect(neightet);
+ hullarray->newindex((void **) &parytet1);
+ *parytet1 = neightet;
+ // Both sides of this subface are exterior.
+ tspivot(neightet, checksh);
+ // Queue this subface (to be deleted later).
+ assert(!sinfected(checksh));
+ sinfect(checksh); // Only queue it once.
+ subfacstack->newindex((void **) &parysh);
+ *parysh = checksh;
+ }
+ }
+ } else {
+ // Both sides of this face are in exterior.
+ // If there is a subface. It should be collected.
+ if (issubface(neightet)) {
+ tspivot(neightet, checksh);
+ if (!sinfected(checksh)) {
+ sinfect(checksh);
+ subfacstack->newindex((void **) &parysh);
+ *parysh = checksh;
+ }
+ }
+ }
+ } // j, k
+ } // i
+
+ // Collect vertices which point to infected tets. These vertices
+ // may get deleted after the removal of exterior tets.
+ // If -Y1 option is used, collect all Steiner points for removal.
+ // The lists 'cavetetvertlist' and 'subvertstack' are re-used.
+ points->traversalinit();
+ ptloop = pointtraverse();
+ while (ptloop != NULL) {
+ if ((pointtype(ptloop) != UNUSEDVERTEX) &&
+ (pointtype(ptloop) != DUPLICATEDVERTEX)) {
+ decode(point2tet(ptloop), neightet);
+ if (infected(neightet)) {
+ cavetetvertlist->newindex((void **) &parypt);
+ *parypt = ptloop;
+ }
+ if (b->nobisect && (b->nobisect_param > 0)) { // -Y1
+ // Queue it if it is a Steiner point.
+ //if (pointmark(ptloop) >
+ // (in->numberofpoints - (in->firstnumber ? 0 : 1))) {
+ if (issteinerpoint(ptloop)) {
+ subvertstack->newindex((void **) &parypt);
+ *parypt = ptloop;
+ }
+ }
+ }
+ ptloop = pointtraverse();
+ }
+
+ if (!b->convex && (tetarray->objects > 0l)) { // No -c option.
+ // Remove exterior tets. Hull tets are updated.
+ arraypool *newhullfacearray;
+ triface hulltet, casface;
+ point pa, pb, pc;
+
+ newhullfacearray = new arraypool(sizeof(triface), 10);
+
+ // Create and save new hull tets.
+ for (i = 0; i < tetarray->objects; i++) {
+ parytet = (triface *) fastlookup(tetarray, i);
+ for (j = 0; j < 4; j++) {
+ decode(parytet->tet[j], tetloop);
+ if (!infected(tetloop)) {
+ // Found a new hull face (must be a subface).
+ tspivot(tetloop, checksh);
+ maketetrahedron(&hulltet);
+ pa = org(tetloop);
+ pb = dest(tetloop);
+ pc = apex(tetloop);
+ setvertices(hulltet, pb, pa, pc, dummypoint);
+ bond(tetloop, hulltet);
+ // Update the subface-to-tet map.
+ sesymself(checksh);
+ tsbond(hulltet, checksh);
+ // Update the segment-to-tet map.
+ for (k = 0; k < 3; k++) {
+ if (issubseg(tetloop)) {
+ tsspivot1(tetloop, checkseg);
+ tssbond1(hulltet, checkseg);
+ sstbond1(checkseg, hulltet);
+ }
+ enextself(tetloop);
+ eprevself(hulltet);
+ }
+ // Update the point-to-tet map.
+ setpoint2tet(pa, (tetrahedron) tetloop.tet);
+ setpoint2tet(pb, (tetrahedron) tetloop.tet);
+ setpoint2tet(pc, (tetrahedron) tetloop.tet);
+ // Save the exterior tet at this hull face. It still holds pointer
+ // to the adjacent interior tet. Use it to connect new hull tets.
+ newhullfacearray->newindex((void **) &parytet1);
+ parytet1->tet = parytet->tet;
+ parytet1->ver = j;
+ } // if (!infected(tetloop))
+ } // j
+ } // i
+
+ // Connect new hull tets.
+ for (i = 0; i < newhullfacearray->objects; i++) {
+ parytet = (triface *) fastlookup(newhullfacearray, i);
+ fsym(*parytet, neightet);
+ // Get the new hull tet.
+ fsym(neightet, hulltet);
+ for (j = 0; j < 3; j++) {
+ esym(hulltet, casface);
+ if (casface.tet[casface.ver & 3] == NULL) {
+ // Since the boundary of the domain may not be a manifold, we
+ // find the adjacent hull face by traversing the tets in the
+ // exterior (which are all infected tets).
+ neightet = *parytet;
+ while (1) {
+ fnextself(neightet);
+ if (!infected(neightet)) break;
+ }
+ if (!ishulltet(neightet)) {
+ // An interior tet. Get the new hull tet.
+ fsymself(neightet);
+ esymself(neightet);
+ }
+ // Bond them together.
+ bond(casface, neightet);
+ }
+ enextself(hulltet);
+ enextself(*parytet);
+ } // j
+ } // i
+
+ if (subfacstack->objects > 0l) {
+ // Remove all subfaces which do not attach to any tetrahedron.
+ // Segments which are not attached to any subfaces and tets
+ // are deleted too.
+ face casingout, casingin;
+ long delsegcount = 0l;
+
+ for (i = 0; i < subfacstack->objects; i++) {
+ parysh = (face *) fastlookup(subfacstack, i);
+ if (i == 0) {
+ if (b->verbose) {
+ printf("Warning: Removing an open face (%d, %d, %d)\n",
+ pointmark(sorg(*parysh)), pointmark(sdest(*parysh)),
+ pointmark(sapex(*parysh)));
+ }
+ }
+ // Dissolve this subface from face links.
+ for (j = 0; j < 3; j++) {
+ spivot(*parysh, casingout);
+ sspivot(*parysh, checkseg);
+ if (casingout.sh != NULL) {
+ casingin = casingout;
+ while (1) {
+ spivot(casingin, checksh);
+ if (checksh.sh == parysh->sh) break;
+ casingin = checksh;
+ }
+ if (casingin.sh != casingout.sh) {
+ // Update the link: ... -> casingin -> casingout ->...
+ sbond1(casingin, casingout);
+ } else {
+ // Only one subface at this edge is left.
+ sdissolve(casingout);
+ }
+ if (checkseg.sh != NULL) {
+ // Make sure the segment does not connect to a dead one.
+ ssbond(casingout, checkseg);
+ }
+ } else {
+ if (checkseg.sh != NULL) {
+ // The segment is also dead.
+ if (delsegcount == 0) {
+ if (b->verbose) {
+ printf("Warning: Removing a dangling segment (%d, %d)\n",
+ pointmark(sorg(checkseg)), pointmark(sdest(checkseg)));
+ }
+ }
+ shellfacedealloc(subsegs, checkseg.sh);
+ delsegcount++;
+ }
+ }
+ senextself(*parysh);
+ } // j
+ // Delete this subface.
+ shellfacedealloc(subfaces, parysh->sh);
+ } // i
+ if (b->verbose) {
+ printf(" Deleted %ld subfaces.\n", subfacstack->objects);
+ if (delsegcount > 0) {
+ printf(" Deleted %ld segments.\n", delsegcount);
+ }
+ }
+ subfacstack->restart();
+ } // if (subfacstack->objects > 0l)
+
+ if (cavetetvertlist->objects > 0l) {
+ // Some vertices may lie in exterior. Marke them as UNUSEDVERTEX.
+ long delvertcount = unuverts;
+ long delsteinercount = 0l;
+
+ for (i = 0; i < cavetetvertlist->objects; i++) {
+ parypt = (point *) fastlookup(cavetetvertlist, i);
+ decode(point2tet(*parypt), neightet);
+ if (infected(neightet)) {
+ // Found an exterior vertex.
+ //if (pointmark(*parypt) >
+ // (in->numberofpoints - (in->firstnumber ? 0 : 1))) {
+ if (issteinerpoint(*parypt)) {
+ // A Steiner point.
+ if (pointtype(*parypt) == FREESEGVERTEX) {
+ st_segref_count--;
+ } else if (pointtype(*parypt) == FREEFACETVERTEX) {
+ st_facref_count--;
+ } else {
+ assert(pointtype(*parypt) == FREEVOLVERTEX);
+ st_volref_count--;
+ }
+ delsteinercount++;
+ if (steinerleft > 0) steinerleft++;
+ }
+ setpointtype(*parypt, UNUSEDVERTEX);
+ unuverts++;
+ }
+ }
+
+ if (b->verbose) {
+ if (unuverts > delvertcount) {
+ if (delsteinercount > 0l) {
+ if (unuverts > (delvertcount + delsteinercount)) {
+ printf(" Removed %ld exterior input vertices.\n",
+ unuverts - delvertcount - delsteinercount);
+ }
+ printf(" Removed %ld exterior Steiner vertices.\n",
+ delsteinercount);
+ } else {
+ printf(" Removed %ld exterior input vertices.\n",
+ unuverts - delvertcount);
+ }
+ }
+ }
+ cavetetvertlist->restart();
+ // Comment: 'subvertstack' will be cleaned in routine
+ // suppresssteinerpoints().
+ } // if (cavetetvertlist->objects > 0l)
+
+ // Update the hull size.
+ hullsize += (newhullfacearray->objects - hullarray->objects);
+
+ // Delete all exterior tets and old hull tets.
+ for (i = 0; i < tetarray->objects; i++) {
+ parytet = (triface *) fastlookup(tetarray, i);
+ tetrahedrondealloc(parytet->tet);
+ }
+ tetarray->restart();
+
+ for (i = 0; i < hullarray->objects; i++) {
+ parytet = (triface *) fastlookup(hullarray, i);
+ tetrahedrondealloc(parytet->tet);
+ }
+ hullarray->restart();
+
+ delete newhullfacearray;
+ } // if (!b->convex && (tetarray->objects > 0l))
+
+ if (b->convex && (tetarray->objects > 0l)) { // With -c option
+ // In this case, all exterior tets get a region marker '-1'.
+ assert(b->regionattrib > 0); // -A option must be enabled.
+ int attrnum = numelemattrib - 1;
+
+ for (i = 0; i < tetarray->objects; i++) {
+ parytet = (triface *) fastlookup(tetarray, i);
+ setelemattribute(parytet->tet, attrnum, -1);
+ }
+ tetarray->restart();
+
+ for (i = 0; i < hullarray->objects; i++) {
+ parytet = (triface *) fastlookup(hullarray, i);
+ uninfect(*parytet);
+ }
+ hullarray->restart();
+
+ if (subfacstack->objects > 0l) {
+ for (i = 0; i < subfacstack->objects; i++) {
+ parysh = (face *) fastlookup(subfacstack, i);
+ suninfect(*parysh);
+ }
+ subfacstack->restart();
+ }
+
+ if (cavetetvertlist->objects > 0l) {
+ cavetetvertlist->restart();
+ }
+ } // if (b->convex && (tetarray->objects > 0l))
+
+ if (b->regionattrib) { // With -A option.
+ if (!b->quiet) {
+ Msg::Info(" --> Spreading region attributes ...");
+ }
+ REAL volume;
+ int attr, maxattr = 0; // Choose a small number here.
+ int attrnum = numelemattrib - 1;
+ // Comment: The element region marker is at the end of the list of
+ // the element attributes.
+ int regioncount = 0;
+
+ // Set attributes for all tetrahedra.
+ attr = maxattr + 1;
+ tetrahedrons->traversalinit();
+ tetloop.tet = tetrahedrontraverse();
+ while (tetloop.tet != (tetrahedron *) NULL) {
+ if (!infected(tetloop)) {
+ // An unmarked region.
+ tetarray->restart(); // Re-use this array.
+ infect(tetloop);
+ tetarray->newindex((void **) &parytet);
+ *parytet = tetloop;
+ // Find and mark all tets.
+ for (j = 0; j < tetarray->objects; j++) {
+ parytet = (triface *) fastlookup(tetarray, j);
+ tetloop = *parytet;
+ setelemattribute(tetloop.tet, attrnum, attr);
+ for (k = 0; k < 4; k++) {
+ decode(tetloop.tet[k], neightet);
+ // Is the adjacent tet already checked?
+ if (!infected(neightet)) {
+ // Is this side protected by a subface?
+ if (!issubface(neightet)) {
+ infect(neightet);
+ tetarray->newindex((void **) &parytet);
+ *parytet = neightet;
+ }
+ }
+ } // k
+ } // j
+ attr++; // Increase the attribute.
+ regioncount++;
+ }
+ tetloop.tet = tetrahedrontraverse();
+ }
+ // Until here, every tet has a region attribute.
+
+ // Uninfect processed tets.
+ tetrahedrons->traversalinit();
+ tetloop.tet = tetrahedrontraverse();
+ while (tetloop.tet != (tetrahedron *) NULL) {
+ uninfect(tetloop);
+ tetloop.tet = tetrahedrontraverse();
+ }
+
+ if (b->verbose) {
+ //assert(regioncount > 0);
+ if (regioncount > 1) {
+ printf(" Found %d subdomains.\n", regioncount);
+ } else {
+ printf(" Found %d domain.\n", regioncount);
+ }
+ }
+ } // if (b->regionattrib)
+
+ if (regiontets != NULL) {
+ delete [] regiontets;
+ }
+ delete tetarray;
+ delete hullarray;
+
+ if (!b->convex) { // No -c option
+ // The mesh is non-convex now.
+ nonconvex = 1;
+
+ // Push all hull tets into 'flipstack'.
+ tetrahedrons->traversalinit();
+ tetloop.ver = 11; // The face opposite to dummypoint.
+ tetloop.tet = alltetrahedrontraverse();
+ while (tetloop.tet != (tetrahedron *) NULL) {
+ if ((point) tetloop.tet[7] == dummypoint) {
+ fsym(tetloop, neightet);
+ flippush(flipstack, &neightet);
+ }
+ tetloop.tet = alltetrahedrontraverse();
+ }
+
+ flipconstraints fc;
+ fc.enqflag = 2;
+ long sliver_peel_count = lawsonflip3d(&fc);
+
+ if (sliver_peel_count > 0l) {
+ if (b->verbose) {
+ printf(" Removed %ld hull slivers.\n", sliver_peel_count);
+ }
+ }
+ unflipqueue->restart();
+ } // if (!b->convex)
+}
+
+//// ////
+//// ////
+//// reconstruct_cxx //////////////////////////////////////////////////////////
+
+//// optimize_cxx /////////////////////////////////////////////////////////////
+//// ////
+//// ////
+
+long meshGRegionBoundaryRecovery::lawsonflip3d(flipconstraints *fc)
+{
+ triface fliptets[5], neightet, hulltet;
+ face checksh, casingout;
+ badface *popface, *bface;
+ point pd, pe, *pts;
+ REAL sign, ori;
+ long flipcount, totalcount = 0l;
+ long sliver_peels = 0l;
+ int t1ver;
+ int i;
+
+
+ while (1) {
+
+ if (b->verbose > 2) {
+ printf(" Lawson flip %ld faces.\n", flippool->items);
+ }
+ flipcount = 0l;
+
+ while (flipstack != (badface *) NULL) {
+ // Pop a face from the stack.
+ popface = flipstack;
+ fliptets[0] = popface->tt;
+ flipstack = flipstack->nextitem; // The next top item in stack.
+ flippool->dealloc((void *) popface);
+
+ // Skip it if it is a dead tet (destroyed by previous flips).
+ if (isdeadtet(fliptets[0])) continue;
+ // Skip it if it is not the same tet as we saved.
+ if (!facemarked(fliptets[0])) continue;
+
+ unmarkface(fliptets[0]);
+
+ if (ishulltet(fliptets[0])) continue;
+
+ fsym(fliptets[0], fliptets[1]);
+ if (ishulltet(fliptets[1])) {
+ if (nonconvex) {
+ // Check if 'fliptets[0]' it is a hull sliver.
+ tspivot(fliptets[0], checksh);
+ for (i = 0; i < 3; i++) {
+ if (!isshsubseg(checksh)) {
+ spivot(checksh, casingout);
+ //assert(casingout.sh != NULL);
+ if (sorg(checksh) != sdest(casingout)) sesymself(casingout);
+ stpivot(casingout, neightet);
+ if (neightet.tet == fliptets[0].tet) {
+ // Found a hull sliver 'neightet'. Let it be [e,d,a,b], where
+ // [e,d,a] and [d,e,b] are hull faces.
+ edestoppo(neightet, hulltet); // [a,b,e,d]
+ fsymself(hulltet); // [b,a,e,#]
+ if (oppo(hulltet) == dummypoint) {
+ pe = org(neightet);
+ if ((pointtype(pe) == FREEFACETVERTEX) ||
+ (pointtype(pe) == FREESEGVERTEX)) {
+ removevertexbyflips(pe);
+ }
+ } else {
+ eorgoppo(neightet, hulltet); // [b,a,d,e]
+ fsymself(hulltet); // [a,b,d,#]
+ if (oppo(hulltet) == dummypoint) {
+ pd = dest(neightet);
+ if ((pointtype(pd) == FREEFACETVERTEX) ||
+ (pointtype(pd) == FREESEGVERTEX)) {
+ removevertexbyflips(pd);
+ }
+ } else {
+ // Perform a 3-to-2 flip to remove the sliver.
+ fliptets[0] = neightet; // [e,d,a,b]
+ fnext(fliptets[0], fliptets[1]); // [e,d,b,c]
+ fnext(fliptets[1], fliptets[2]); // [e,d,c,a]
+ flip32(fliptets, 1, fc);
+ // Update counters.
+ flip32count--;
+ flip22count--;
+ sliver_peels++;
+ if (fc->remove_ndelaunay_edge) {
+ // Update the volume (must be decreased).
+ //assert(fc->tetprism_vol_sum <= 0);
+ tetprism_vol_sum += fc->tetprism_vol_sum;
+ fc->tetprism_vol_sum = 0.0; // Clear it.
+ }
+ }
+ }
+ break;
+ } // if (neightet.tet == fliptets[0].tet)
+ } // if (!isshsubseg(checksh))
+ senextself(checksh);
+ } // i
+ } // if (nonconvex)
+ continue;
+ }
+
+ if (checksubfaceflag) {
+ // Do not flip if it is a subface.
+ if (issubface(fliptets[0])) continue;
+ }
+
+ // Test whether the face is locally Delaunay or not.
+ pts = (point *) fliptets[1].tet;
+ sign = insphere_s(pts[4], pts[5], pts[6], pts[7], oppo(fliptets[0]));
+
+ if (sign < 0) {
+ // A non-Delaunay face. Try to flip it.
+ pd = oppo(fliptets[0]);
+ pe = oppo(fliptets[1]);
+
+ // Check the convexity of its three edges. Stop checking either a
+ // locally non-convex edge (ori < 0) or a flat edge (ori = 0) is
+ // encountered, and 'fliptet' represents that edge.
+ for (i = 0; i < 3; i++) {
+ ori = orient3d(org(fliptets[0]), dest(fliptets[0]), pd, pe);
+ if (ori <= 0) break;
+ enextself(fliptets[0]);
+ }
+
+ if (ori > 0) {
+ // A 2-to-3 flip is found.
+ // [0] [a,b,c,d],
+ // [1] [b,a,c,e]. no dummypoint.
+ flip23(fliptets, 0, fc);
+ flipcount++;
+ if (fc->remove_ndelaunay_edge) {
+ // Update the volume (must be decreased).
+ //assert(fc->tetprism_vol_sum <= 0);
+ tetprism_vol_sum += fc->tetprism_vol_sum;
+ fc->tetprism_vol_sum = 0.0; // Clear it.
+ }
+ continue;
+ } else { // ori <= 0
+ // The edge ('fliptets[0]' = [a',b',c',d]) is non-convex or flat,
+ // where the edge [a',b'] is one of [a,b], [b,c], and [c,a].
+ if (checksubsegflag) {
+ // Do not flip if it is a segment.
+ if (issubseg(fliptets[0])) continue;
+ }
+ // Check if there are three or four tets sharing at this edge.
+ esymself(fliptets[0]); // [b,a,d,c]
+ for (i = 0; i < 3; i++) {
+ fnext(fliptets[i], fliptets[i+1]);
+ }
+ if (fliptets[3].tet == fliptets[0].tet) {
+ // A 3-to-2 flip is found. (No hull tet.)
+ flip32(fliptets, 0, fc);
+ flipcount++;
+ if (fc->remove_ndelaunay_edge) {
+ // Update the volume (must be decreased).
+ //assert(fc->tetprism_vol_sum <= 0);
+ tetprism_vol_sum += fc->tetprism_vol_sum;
+ fc->tetprism_vol_sum = 0.0; // Clear it.
+ }
+ continue;
+ } else {
+ // There are more than 3 tets at this edge.
+ fnext(fliptets[3], fliptets[4]);
+ if (fliptets[4].tet == fliptets[0].tet) {
+ // There are exactly 4 tets at this edge.
+ if (nonconvex) {
+ if (apex(fliptets[3]) == dummypoint) {
+ // This edge is locally non-convex on the hull.
+ // It can be removed by a 4-to-4 flip.
+ ori = 0;
+ }
+ } // if (nonconvex)
+ if (ori == 0) {
+ // A 4-to-4 flip is found. (Two hull tets may be involved.)
+ // Current tets in 'fliptets':
+ // [0] [b,a,d,c] (d may be newpt)
+ // [1] [b,a,c,e]
+ // [2] [b,a,e,f] (f may be dummypoint)
+ // [3] [b,a,f,d]
+ esymself(fliptets[0]); // [a,b,c,d]
+ // A 2-to-3 flip replaces face [a,b,c] by edge [e,d].
+ // This creates a degenerate tet [e,d,a,b] (tmpfliptets[0]).
+ // It will be removed by the followed 3-to-2 flip.
+ flip23(fliptets, 0, fc); // No hull tet.
+ fnext(fliptets[3], fliptets[1]);
+ fnext(fliptets[1], fliptets[2]);
+ // Current tets in 'fliptets':
+ // [0] [...]
+ // [1] [b,a,d,e] (degenerated, d may be new point).
+ // [2] [b,a,e,f] (f may be dummypoint)
+ // [3] [b,a,f,d]
+ // A 3-to-2 flip replaces edge [b,a] by face [d,e,f].
+ // Hull tets may be involved (f may be dummypoint).
+ flip32(&(fliptets[1]), (apex(fliptets[3]) == dummypoint), fc);
+ flipcount++;
+ flip23count--;
+ flip32count--;
+ flip44count++;
+ if (fc->remove_ndelaunay_edge) {
+ // Update the volume (must be decreased).
+ //assert(fc->tetprism_vol_sum <= 0);
+ tetprism_vol_sum += fc->tetprism_vol_sum;
+ fc->tetprism_vol_sum = 0.0; // Clear it.
+ }
+ continue;
+ } // if (ori == 0)
+ }
+ }
+ } // if (ori <= 0)
+
+ // This non-Delaunay face is unflippable. Save it.
+ unflipqueue->newindex((void **) &bface);
+ bface->tt = fliptets[0];
+ bface->forg = org(fliptets[0]);
+ bface->fdest = dest(fliptets[0]);
+ bface->fapex = apex(fliptets[0]);
+ } // if (sign < 0)
+ } // while (flipstack)
+
+ if (b->verbose > 2) {
+ if (flipcount > 0) {
+ printf(" Performed %ld flips.\n", flipcount);
+ }
+ }
+ // Accumulate the counter of flips.
+ totalcount += flipcount;
+
+ assert(flippool->items == 0l);
+ // Return if no unflippable faces left.
+ if (unflipqueue->objects == 0l) break;
+ // Return if no flip has been performed.
+ if (flipcount == 0l) break;
+
+ // Try to flip the unflippable faces.
+ for (i = 0; i < unflipqueue->objects; i++) {
+ bface = (badface *) fastlookup(unflipqueue, i);
+ if (!isdeadtet(bface->tt) &&
+ (org(bface->tt) == bface->forg) &&
+ (dest(bface->tt) == bface->fdest) &&
+ (apex(bface->tt) == bface->fapex)) {
+ flippush(flipstack, &(bface->tt));
+ }
+ }
+ unflipqueue->restart();
+
+ } // while (1)
+
+ if (b->verbose > 2) {
+ if (totalcount > 0) {
+ printf(" Performed %ld flips.\n", totalcount);
+ }
+ if (sliver_peels > 0) {
+ printf(" Removed %ld hull slivers.\n", sliver_peels);
+ }
+ if (unflipqueue->objects > 0l) {
+ printf(" %ld unflippable edges remained.\n", unflipqueue->objects);
+ }
+ }
+
+ return totalcount + sliver_peels;
+}
+
+void meshGRegionBoundaryRecovery::recoverdelaunay()
+{
+ arraypool *flipqueue, *nextflipqueue, *swapqueue;
+ triface tetloop, neightet, *parytet;
+ badface *bface, *parybface;
+ point *ppt;
+ flipconstraints fc;
+ int i, j;
+
+ if (!b->quiet) {
+ Msg::Info(" --> Recovering Delaunayness ...");
+ }
+
+ tetprism_vol_sum = 0.0; // Initialize it.
+
+ // Put all interior faces of the mesh into 'flipstack'.
+ tetrahedrons->traversalinit();
+ tetloop.tet = tetrahedrontraverse();
+ while (tetloop.tet != NULL) {
+ for (tetloop.ver = 0; tetloop.ver < 4; tetloop.ver++) {
+ decode(tetloop.tet[tetloop.ver], neightet);
+ if (!facemarked(neightet)) {
+ flippush(flipstack, &tetloop);
+ }
+ }
+ ppt = (point *) &(tetloop.tet[4]);
+ tetprism_vol_sum += tetprismvol(ppt[0], ppt[1], ppt[2], ppt[3]);
+ tetloop.tet = tetrahedrontraverse();
+ }
+
+ // Calulate a relatively lower bound for small improvement.
+ // Used to avoid rounding error in volume calculation.
+ fc.bak_tetprism_vol = tetprism_vol_sum * b->epsilon * 1e-3;
+
+ if (b->verbose) {
+ printf(" Initial obj = %.17g\n", tetprism_vol_sum);
+ }
+
+ if (b->verbose > 1) {
+ printf(" Recover Delaunay [Lawson] : %ld\n", flippool->items);
+ }
+
+ // First only use the basic Lawson's flip.
+ fc.remove_ndelaunay_edge = 1;
+ fc.enqflag = 2;
+
+ lawsonflip3d(&fc);
+
+ if (b->verbose > 1) {
+ printf(" obj (after Lawson) = %.17g\n", tetprism_vol_sum);
+ }
+
+ if (unflipqueue->objects == 0l) {
+ return; // The mesh is Delaunay.
+ }
+
+ fc.unflip = 1; // Unflip if the edge is not flipped.
+ fc.collectnewtets = 1; // new tets are returned in 'cavetetlist'.
+ fc.enqflag = 0;
+
+ autofliplinklevel = 1; // Init level.
+ b->fliplinklevel = -1; // No fixed level.
+
+ // For efficiency reason, we limit the maximium size of the edge star.
+ int bakmaxflipstarsize = b->flipstarsize;
+ b->flipstarsize = 10; // default
+
+ flipqueue = new arraypool(sizeof(badface), 10);
+ nextflipqueue = new arraypool(sizeof(badface), 10);
+
+ // Swap the two flip queues.
+ swapqueue = flipqueue;
+ flipqueue = unflipqueue;
+ unflipqueue = swapqueue;
+
+ while (flipqueue->objects > 0l) {
+
+ if (b->verbose > 1) {
+ printf(" Recover Delaunay [level = %2d] #: %ld.\n",
+ autofliplinklevel, flipqueue->objects);
+ }
+
+ for (i = 0; i < flipqueue->objects; i++) {
+ bface = (badface *) fastlookup(flipqueue, i);
+ if (getedge(bface->forg, bface->fdest, &bface->tt)) {
+ if (removeedgebyflips(&(bface->tt), &fc) == 2) {
+ tetprism_vol_sum += fc.tetprism_vol_sum;
+ fc.tetprism_vol_sum = 0.0; // Clear it.
+ // Queue new faces for flips.
+ for (j = 0; j < cavetetlist->objects; j++) {
+ parytet = (triface *) fastlookup(cavetetlist, j);
+ // A queued new tet may be dead.
+ if (!isdeadtet(*parytet)) {
+ for (parytet->ver = 0; parytet->ver < 4; parytet->ver++) {
+ // Avoid queue a face twice.
+ decode(parytet->tet[parytet->ver], neightet);
+ if (!facemarked(neightet)) {
+ flippush(flipstack, parytet);
+ }
+ } // parytet->ver
+ }
+ } // j
+ cavetetlist->restart();
+ // Remove locally non-Delaunay faces. New non-Delaunay edges
+ // may be found. They are saved in 'unflipqueue'.
+ fc.enqflag = 2;
+ lawsonflip3d(&fc);
+ fc.enqflag = 0;
+ // There may be unflipable faces. Add them in flipqueue.
+ for (j = 0; j < unflipqueue->objects; j++) {
+ bface = (badface *) fastlookup(unflipqueue, j);
+ flipqueue->newindex((void **) &parybface);
+ *parybface = *bface;
+ }
+ unflipqueue->restart();
+ } else {
+ // Unable to remove this edge. Save it.
+ nextflipqueue->newindex((void **) &parybface);
+ *parybface = *bface;
+ // Normally, it should be zero.
+ //assert(fc.tetprism_vol_sum == 0.0);
+ // However, due to rounding errors, a tiny value may appear.
+ fc.tetprism_vol_sum = 0.0;
+ }
+ }
+ } // i
+
+ if (b->verbose > 1) {
+ printf(" obj (after level %d) = %.17g.\n", autofliplinklevel,
+ tetprism_vol_sum);
+ }
+ flipqueue->restart();
+
+ // Swap the two flip queues.
+ swapqueue = flipqueue;
+ flipqueue = nextflipqueue;
+ nextflipqueue = swapqueue;
+
+ if (flipqueue->objects > 0l) {
+ // default 'b->delmaxfliplevel' is 1.
+ if (autofliplinklevel >= b->delmaxfliplevel) {
+ // For efficiency reason, we do not search too far.
+ break;
+ }
+ autofliplinklevel+=b->fliplinklevelinc;
+ }
+ } // while (flipqueue->objects > 0l)
+
+ if (flipqueue->objects > 0l) {
+ if (b->verbose > 1) {
+ printf(" %ld non-Delaunay edges remained.\n", flipqueue->objects);
+ }
+ }
+
+ if (b->verbose) {
+ printf(" Final obj = %.17g\n", tetprism_vol_sum);
+ }
+
+ b->flipstarsize = bakmaxflipstarsize;
+ delete flipqueue;
+ delete nextflipqueue;
+}
+
+int meshGRegionBoundaryRecovery::gettetrahedron(point pa, point pb, point pc,
+ point pd, triface *searchtet)
+{
+ triface spintet;
+ int t1ver;
+
+ if (getedge(pa, pb, searchtet)) {
+ spintet = *searchtet;
+ while (1) {
+ if (apex(spintet) == pc) {
+ *searchtet = spintet;
+ break;
+ }
+ fnextself(spintet);
+ if (spintet.tet == searchtet->tet) break;
+ }
+ if (apex(*searchtet) == pc) {
+ if (oppo(*searchtet) == pd) {
+ return 1;
+ } else {
+ fsymself(*searchtet);
+ if (oppo(*searchtet) == pd) {
+ return 1;
+ }
+ }
+ }
+ }
+
+ return 0;
+}
+
+long meshGRegionBoundaryRecovery::improvequalitybyflips()
+{
+ arraypool *flipqueue, *nextflipqueue, *swapqueue;
+ badface *bface, *parybface;
+ triface *parytet;
+ point *ppt;
+ flipconstraints fc;
+ REAL *cosdd, ncosdd[6], maxdd;
+ long totalremcount, remcount;
+ int remflag;
+ int n, i, j, k;
+
+ //assert(unflipqueue->objects > 0l);
+ flipqueue = new arraypool(sizeof(badface), 10);
+ nextflipqueue = new arraypool(sizeof(badface), 10);
+
+ // Backup flip edge options.
+ int bakautofliplinklevel = autofliplinklevel;
+ int bakfliplinklevel = b->fliplinklevel;
+ int bakmaxflipstarsize = b->flipstarsize;
+
+ // Set flip edge options.
+ autofliplinklevel = 1;
+ b->fliplinklevel = -1;
+ b->flipstarsize = 10; // b->optmaxflipstarsize;
+
+ fc.remove_large_angle = 1;
+ fc.unflip = 1;
+ fc.collectnewtets = 1;
+ fc.checkflipeligibility = 1;
+
+ totalremcount = 0l;
+
+ // Swap the two flip queues.
+ swapqueue = flipqueue;
+ flipqueue = unflipqueue;
+ unflipqueue = swapqueue;
+
+ while (flipqueue->objects > 0l) {
+
+ remcount = 0l;
+
+ while (flipqueue->objects > 0l) {
+ if (b->verbose > 1) {
+ printf(" Improving mesh qualiy by flips [%d]#: %ld.\n",
+ autofliplinklevel, flipqueue->objects);
+ }
+
+ for (k = 0; k < flipqueue->objects; k++) {
+ bface = (badface *) fastlookup(flipqueue, k);
+ if (gettetrahedron(bface->forg, bface->fdest, bface->fapex,
+ bface->foppo, &bface->tt)) {
+ //assert(!ishulltet(bface->tt));
+ // There are bad dihedral angles in this tet.
+ if (bface->tt.ver != 11) {
+ // The dihedral angles are permuted.
+ // Here we simply re-compute them. Slow!!.
+ ppt = (point *) & (bface->tt.tet[4]);
+ tetalldihedral(ppt[0], ppt[1], ppt[2], ppt[3], bface->cent,
+ &bface->key, NULL);
+ bface->forg = ppt[0];
+ bface->fdest = ppt[1];
+ bface->fapex = ppt[2];
+ bface->foppo = ppt[3];
+ bface->tt.ver = 11;
+ }
+ if (bface->key == 0) {
+ // Re-comput the quality values. Due to smoothing operations.
+ ppt = (point *) & (bface->tt.tet[4]);
+ tetalldihedral(ppt[0], ppt[1], ppt[2], ppt[3], bface->cent,
+ &bface->key, NULL);
+ }
+ cosdd = bface->cent;
+ remflag = 0;
+ for (i = 0; (i < 6) && !remflag; i++) {
+ if (cosdd[i] < cosmaxdihed) {
+ // Found a large dihedral angle.
+ bface->tt.ver = edge2ver[i]; // Go to the edge.
+ fc.cosdihed_in = cosdd[i];
+ fc.cosdihed_out = 0.0; // 90 degree.
+ n = removeedgebyflips(&(bface->tt), &fc);
+ if (n == 2) {
+ // Edge is flipped.
+ remflag = 1;
+ if (fc.cosdihed_out < cosmaxdihed) {
+ // Queue new bad tets for further improvements.
+ for (j = 0; j < cavetetlist->objects; j++) {
+ parytet = (triface *) fastlookup(cavetetlist, j);
+ if (!isdeadtet(*parytet)) {
+ ppt = (point *) & (parytet->tet[4]);
+ // Do not test a hull tet.
+ if (ppt[3] != dummypoint) {
+ tetalldihedral(ppt[0], ppt[1], ppt[2], ppt[3], ncosdd,
+ &maxdd, NULL);
+ if (maxdd < cosmaxdihed) {
+ // There are bad dihedral angles in this tet.
+ nextflipqueue->newindex((void **) &parybface);
+ parybface->tt.tet = parytet->tet;
+ parybface->tt.ver = 11;
+ parybface->forg = ppt[0];
+ parybface->fdest = ppt[1];
+ parybface->fapex = ppt[2];
+ parybface->foppo = ppt[3];
+ parybface->key = maxdd;
+ for (n = 0; n < 6; n++) {
+ parybface->cent[n] = ncosdd[n];
+ }
+ }
+ } // if (ppt[3] != dummypoint)
+ }
+ } // j
+ } // if (fc.cosdihed_out < cosmaxdihed)
+ cavetetlist->restart();
+ remcount++;
+ }
+ }
+ } // i
+ if (!remflag) {
+ // An unremoved bad tet. Queue it again.
+ unflipqueue->newindex((void **) &parybface);
+ *parybface = *bface;
+ }
+ } // if (gettetrahedron(...))
+ } // k
+
+ flipqueue->restart();
+
+ // Swap the two flip queues.
+ swapqueue = flipqueue;
+ flipqueue = nextflipqueue;
+ nextflipqueue = swapqueue;
+ } // while (flipqueues->objects > 0)
+
+ if (b->verbose > 1) {
+ printf(" Removed %ld bad tets.\n", remcount);
+ }
+ totalremcount += remcount;
+
+ if (unflipqueue->objects > 0l) {
+ //if (autofliplinklevel >= b->optmaxfliplevel) {
+ if (autofliplinklevel >= b->optlevel) {
+ break;
+ }
+ autofliplinklevel+=b->fliplinklevelinc;
+ //b->flipstarsize = 10 + (1 << (b->optlevel - 1));
+ }
+
+ // Swap the two flip queues.
+ swapqueue = flipqueue;
+ flipqueue = unflipqueue;
+ unflipqueue = swapqueue;
+ } // while (flipqueues->objects > 0)
+
+ // Restore original flip edge options.
+ autofliplinklevel = bakautofliplinklevel;
+ b->fliplinklevel = bakfliplinklevel;
+ b->flipstarsize = bakmaxflipstarsize;
+
+ delete flipqueue;
+ delete nextflipqueue;
+
+ return totalremcount;
+}
+
+int meshGRegionBoundaryRecovery::smoothpoint(point smtpt,
+ arraypool *linkfacelist, int ccw, optparameters *opm)
+{
+ triface *parytet, *parytet1, swaptet;
+ point pa, pb, pc;
+ REAL fcent[3], startpt[3], nextpt[3], bestpt[3];
+ REAL oldval, minval = 0.0, val;
+ REAL maxcosd; // oldang, newang;
+ REAL ori, diff;
+ int numdirs, iter;
+ int i, j, k;
+
+ // Decide the number of moving directions.
+ numdirs = (int) linkfacelist->objects;
+ if (numdirs > opm->numofsearchdirs) {
+ numdirs = opm->numofsearchdirs; // Maximum search directions.
+ }
+
+ // Set the initial value.
+ if (!opm->max_min_volume) {
+ assert(opm->initval >= 0.0);
+ }
+ opm->imprval = opm->initval;
+ iter = 0;
+
+ for (i = 0; i < 3; i++) {
+ bestpt[i] = startpt[i] = smtpt[i];
+ }
+
+ // Iterate until the obj function is not improved.
+ while (1) {
+
+ // Find the best next location.
+ oldval = opm->imprval;
+
+ for (i = 0; i < numdirs; i++) {
+ // Randomly pick a link face (0 <= k <= objects - i - 1).
+ k = (int) randomnation(linkfacelist->objects - i);
+ parytet = (triface *) fastlookup(linkfacelist, k);
+ // Calculate a new position from 'p' to the center of this face.
+ pa = org(*parytet);
+ pb = dest(*parytet);
+ pc = apex(*parytet);
+ for (j = 0; j < 3; j++) {
+ fcent[j] = (pa[j] + pb[j] + pc[j]) / 3.0;
+ }
+ for (j = 0; j < 3; j++) {
+ nextpt[j] = startpt[j] + opm->searchstep * (fcent[j] - startpt[j]);
+ }
+ // Calculate the largest minimum function value for the new location.
+ for (j = 0; j < linkfacelist->objects; j++) {
+ parytet = (triface *) fastlookup(linkfacelist, j);
+ if (ccw) {
+ pa = org(*parytet);
+ pb = dest(*parytet);
+ } else {
+ pb = org(*parytet);
+ pa = dest(*parytet);
+ }
+ pc = apex(*parytet);
+ ori = orient3d(pa, pb, pc, nextpt);
+ if (ori < 0.0) {
+ // Calcuate the objective function value.
+ if (opm->max_min_volume) {
+ //val = -ori;
+ val = - orient3dfast(pa, pb, pc, nextpt);
+ } else if (opm->min_max_aspectratio) {
+ val = tetaspectratio(pa, pb, pc, nextpt);
+ } else if (opm->min_max_dihedangle) {
+ tetalldihedral(pa, pb, pc, nextpt, NULL, &maxcosd, NULL);
+ if (maxcosd < -1) maxcosd = -1.0; // Rounding.
+ val = maxcosd + 1.0; // Make it be positive.
+ } else {
+ // Unknown objective function.
+ val = 0.0;
+ }
+ } else { // ori >= 0.0;
+ // An invalid new tet.
+ // This may happen if the mesh contains inverted elements.
+ if (opm->max_min_volume) {
+ //val = -ori;
+ val = - orient3dfast(pa, pb, pc, nextpt);
+ } else {
+ // Discard this point.
+ break; // j
+ }
+ } // if (ori >= 0.0)
+ // Stop looping when the object value is not improved.
+ if (val <= opm->imprval) {
+ break; // j
+ } else {
+ // Remember the smallest improved value.
+ if (j == 0) {
+ minval = val;
+ } else {
+ minval = (val < minval) ? val : minval;
+ }
+ }
+ } // j
+ if (j == linkfacelist->objects) {
+ // The function value has been improved.
+ opm->imprval = minval;
+ // Save the new location of the point.
+ for (j = 0; j < 3; j++) bestpt[j] = nextpt[j];
+ }
+ // Swap k-th and (object-i-1)-th entries.
+ j = linkfacelist->objects - i - 1;
+ parytet = (triface *) fastlookup(linkfacelist, k);
+ parytet1 = (triface *) fastlookup(linkfacelist, j);
+ swaptet = *parytet1;
+ *parytet1 = *parytet;
+ *parytet = swaptet;
+ } // i
+
+ diff = opm->imprval - oldval;
+ if (diff > 0.0) {
+ // Is the function value improved effectively?
+ if (opm->max_min_volume) {
+ //if ((diff / oldval) < b->epsilon) diff = 0.0;
+ } else if (opm->min_max_aspectratio) {
+ if ((diff / oldval) < 1e-3) diff = 0.0;
+ } else if (opm->min_max_dihedangle) {
+ //oldang = acos(oldval - 1.0);
+ //newang = acos(opm->imprval - 1.0);
+ //if ((oldang - newang) < 0.00174) diff = 0.0; // about 0.1 degree.
+ } else {
+ // Unknown objective function.
+ assert(0); // Not possible.
+ }
+ }
+
+ if (diff > 0.0) {
+ // Yes, move p to the new location and continue.
+ for (j = 0; j < 3; j++) startpt[j] = bestpt[j];
+ iter++;
+ if ((opm->maxiter > 0) && (iter >= opm->maxiter)) {
+ // Maximum smoothing iterations reached.
+ break;
+ }
+ } else {
+ break;
+ }
+
+ } // while (1)
+
+ if (iter > 0) {
+ // The point has been smoothed.
+ opm->smthiter = iter; // Remember the number of iterations.
+ // The point has been smoothed. Update it to its new position.
+ for (i = 0; i < 3; i++) smtpt[i] = startpt[i];
+ }
+
+ return iter;
+}
+
+
+long meshGRegionBoundaryRecovery::improvequalitybysmoothing(optparameters *opm)
+{
+ arraypool *flipqueue, *swapqueue;
+ triface *parytet;
+ badface *bface, *parybface;
+ point *ppt;
+ long totalsmtcount, smtcount;
+ int smtflag;
+ int iter, i, j, k;
+
+ //assert(unflipqueue->objects > 0l);
+ flipqueue = new arraypool(sizeof(badface), 10);
+
+ // Swap the two flip queues.
+ swapqueue = flipqueue;
+ flipqueue = unflipqueue;
+ unflipqueue = swapqueue;
+
+ totalsmtcount = 0l;
+ iter = 0;
+
+ while (flipqueue->objects > 0l) {
+
+ smtcount = 0l;
+
+ if (b->verbose > 1) {
+ printf(" Improving mesh quality by smoothing [%d]#: %ld.\n",
+ iter, flipqueue->objects);
+ }
+
+ for (k = 0; k < flipqueue->objects; k++) {
+ bface = (badface *) fastlookup(flipqueue, k);
+ if (gettetrahedron(bface->forg, bface->fdest, bface->fapex,
+ bface->foppo, &bface->tt)) {
+ // Operate on it if it is not in 'unflipqueue'.
+ if (!marktested(bface->tt)) {
+ // Here we simply re-compute the quality. Since other smoothing
+ // operation may have moved the vertices of this tet.
+ ppt = (point *) & (bface->tt.tet[4]);
+ tetalldihedral(ppt[0], ppt[1], ppt[2], ppt[3], bface->cent,
+ &bface->key, NULL);
+ if (bface->key < cossmtdihed) { // if (maxdd < cosslidihed) {
+ // It is a sliver. Try to smooth its vertices.
+ smtflag = 0;
+ opm->initval = bface->key + 1.0;
+ for (i = 0; (i < 4) && !smtflag; i++) {
+ if (pointtype(ppt[i]) == FREEVOLVERTEX) {
+ getvertexstar(1, ppt[i], cavetetlist, NULL, NULL);
+ opm->searchstep = 0.001; // Search step size
+ smtflag = smoothpoint(ppt[i], cavetetlist, 1, opm);
+ if (smtflag) {
+ while (opm->smthiter == opm->maxiter) {
+ opm->searchstep *= 10.0; // Increase the step size.
+ opm->initval = opm->imprval;
+ opm->smthiter = 0; // reset
+ smoothpoint(ppt[i], cavetetlist, 1, opm);
+ }
+ // This tet is modifed.
+ smtcount++;
+ if ((opm->imprval - 1.0) < cossmtdihed) {
+ // There are slivers in new tets. Queue them.
+ for (j = 0; j < cavetetlist->objects; j++) {
+ parytet = (triface *) fastlookup(cavetetlist, j);
+ assert(!isdeadtet(*parytet));
+ // Operate it if it is not in 'unflipqueue'.
+ if (!marktested(*parytet)) {
+ // Evaluate its quality.
+ // Re-use ppt, bface->key, bface->cent.
+ ppt = (point *) & (parytet->tet[4]);
+ tetalldihedral(ppt[0], ppt[1], ppt[2], ppt[3],
+ bface->cent, &bface->key, NULL);
+ if (bface->key < cossmtdihed) {
+ // A new sliver. Queue it.
+ marktest(*parytet); // It is in unflipqueue.
+ unflipqueue->newindex((void **) &parybface);
+ parybface->tt = *parytet;
+ parybface->forg = ppt[0];
+ parybface->fdest = ppt[1];
+ parybface->fapex = ppt[2];
+ parybface->foppo = ppt[3];
+ parybface->tt.ver = 11;
+ parybface->key = 0.0;
+ }
+ }
+ } // j
+ } // if ((opm->imprval - 1.0) < cossmtdihed)
+ } // if (smtflag)
+ cavetetlist->restart();
+ } // if (pointtype(ppt[i]) == FREEVOLVERTEX)
+ } // i
+ if (!smtflag) {
+ // Didn't smooth. Queue it again.
+ marktest(bface->tt); // It is in unflipqueue.
+ unflipqueue->newindex((void **) &parybface);
+ parybface->tt = bface->tt;
+ parybface->forg = ppt[0];
+ parybface->fdest = ppt[1];
+ parybface->fapex = ppt[2];
+ parybface->foppo = ppt[3];
+ parybface->tt.ver = 11;
+ parybface->key = 0.0;
+ }
+ } // if (maxdd < cosslidihed)
+ } // if (!marktested(...))
+ } // if (gettetrahedron(...))
+ } // k
+
+ flipqueue->restart();
+
+ // Unmark the tets in unflipqueue.
+ for (i = 0; i < unflipqueue->objects; i++) {
+ bface = (badface *) fastlookup(unflipqueue, i);
+ unmarktest(bface->tt);
+ }
+
+ if (b->verbose > 1) {
+ printf(" Smooth %ld points.\n", smtcount);
+ }
+ totalsmtcount += smtcount;
+
+ if (smtcount == 0l) {
+ // No point has been smoothed.
+ break;
+ } else {
+ iter++;
+ if (iter == 2) { //if (iter >= b->optpasses) {
+ break;
+ }
+ }
+
+ // Swap the two flip queues.
+ swapqueue = flipqueue;
+ flipqueue = unflipqueue;
+ unflipqueue = swapqueue;
+ } // while
+
+ delete flipqueue;
+
+ return totalsmtcount;
+}
+
+int meshGRegionBoundaryRecovery::splitsliver(triface *slitet, REAL cosd,
+ int chkencflag)
+{
+ triface *abtets;
+ triface searchtet, spintet, *parytet;
+ point pa, pb, steinerpt;
+ optparameters opm;
+ insertvertexflags ivf;
+ REAL smtpt[3], midpt[3];
+ int success;
+ int t1ver;
+ int n, i;
+
+ // 'slitet' is [c,d,a,b], where [c,d] has a big dihedral angle.
+ // Go to the opposite edge [a,b].
+ edestoppo(*slitet, searchtet); // [a,b,c,d].
+
+ // Do not split a segment.
+ if (issubseg(searchtet)) {
+ return 0;
+ }
+
+ // Count the number of tets shared at [a,b].
+ // Do not split it if it is a hull edge.
+ spintet = searchtet;
+ n = 0;
+ while (1) {
+ if (ishulltet(spintet)) break;
+ n++;
+ fnextself(spintet);
+ if (spintet.tet == searchtet.tet) break;
+ }
+ if (ishulltet(spintet)) {
+ return 0; // It is a hull edge.
+ }
+ assert(n >= 3);
+
+ // Get all tets at edge [a,b].
+ abtets = new triface[n];
+ spintet = searchtet;
+ for (i = 0; i < n; i++) {
+ abtets[i] = spintet;
+ fnextself(spintet);
+ }
+
+ // Initialize the list of 2n boundary faces.
+ for (i = 0; i < n; i++) {
+ eprev(abtets[i], searchtet);
+ esymself(searchtet); // [a,p_i,p_i+1].
+ cavetetlist->newindex((void **) &parytet);
+ *parytet = searchtet;
+ enext(abtets[i], searchtet);
+ esymself(searchtet); // [p_i,b,p_i+1].
+ cavetetlist->newindex((void **) &parytet);
+ *parytet = searchtet;
+ }
+
+ // Init the Steiner point at the midpoint of edge [a,b].
+ pa = org(abtets[0]);
+ pb = dest(abtets[0]);
+ for (i = 0; i < 3; i++) {
+ smtpt[i] = midpt[i] = 0.5 * (pa[i] + pb[i]);
+ }
+
+ // Point smooth options.
+ opm.min_max_dihedangle = 1;
+ opm.initval = cosd + 1.0; // Initial volume is zero.
+ opm.numofsearchdirs = 20;
+ opm.searchstep = 0.001;
+ opm.maxiter = 100; // Limit the maximum iterations.
+
+ success = smoothpoint(smtpt, cavetetlist, 1, &opm);
+
+ if (success) {
+ while (opm.smthiter == opm.maxiter) {
+ // It was relocated and the prescribed maximum iteration reached.
+ // Try to increase the search stepsize.
+ opm.searchstep *= 10.0;
+ //opm.maxiter = 100; // Limit the maximum iterations.
+ opm.initval = opm.imprval;
+ opm.smthiter = 0; // Init.
+ smoothpoint(smtpt, cavetetlist, 1, &opm);
+ }
+ } // if (success)
+
+ cavetetlist->restart();
+
+ if (!success) {
+ delete [] abtets;
+ return 0;
+ }
+
+
+ // Insert the Steiner point.
+ makepoint(&steinerpt, FREEVOLVERTEX);
+ for (i = 0; i < 3; i++) steinerpt[i] = smtpt[i];
+
+ // Insert the created Steiner point.
+ for (i = 0; i < n; i++) {
+ infect(abtets[i]);
+ caveoldtetlist->newindex((void **) &parytet);
+ *parytet = abtets[i];
+ }
+
+ searchtet = abtets[0]; // No need point location.
+ if (b->metric) {
+ locate(steinerpt, &searchtet); // For size interpolation.
+ }
+
+ delete [] abtets;
+
+ ivf.iloc = (int) INSTAR;
+ ivf.chkencflag = chkencflag;
+ ivf.assignmeshsize = b->metric;
+
+
+ if (insertpoint(steinerpt, &searchtet, NULL, NULL, &ivf)) {
+ // The vertex has been inserted.
+ st_volref_count++;
+ if (steinerleft > 0) steinerleft--;
+ return 1;
+ } else {
+ // The Steiner point is too close to an existing vertex. Reject it.
+ pointdealloc(steinerpt);
+ return 0;
+ }
+}
+
+long meshGRegionBoundaryRecovery::removeslivers(int chkencflag)
+{
+ arraypool *flipqueue, *swapqueue;
+ badface *bface, *parybface;
+ triface slitet, *parytet;
+ point *ppt;
+ REAL cosdd[6], maxcosd;
+ long totalsptcount, sptcount;
+ int iter, i, j, k;
+
+ //assert(unflipqueue->objects > 0l);
+ flipqueue = new arraypool(sizeof(badface), 10);
+
+ // Swap the two flip queues.
+ swapqueue = flipqueue;
+ flipqueue = unflipqueue;
+ unflipqueue = swapqueue;
+
+ totalsptcount = 0l;
+ iter = 0;
+
+ while ((flipqueue->objects > 0l) && (steinerleft != 0)) {
+
+ sptcount = 0l;
+
+ if (b->verbose > 1) {
+ printf(" Splitting bad quality tets [%d]#: %ld.\n",
+ iter, flipqueue->objects);
+ }
+
+ for (k = 0; (k < flipqueue->objects) && (steinerleft != 0); k++) {
+ bface = (badface *) fastlookup(flipqueue, k);
+ if (gettetrahedron(bface->forg, bface->fdest, bface->fapex,
+ bface->foppo, &bface->tt)) {
+ if ((bface->key == 0) || (bface->tt.ver != 11)) {
+ // Here we need to re-compute the quality. Since other smoothing
+ // operation may have moved the vertices of this tet.
+ ppt = (point *) & (bface->tt.tet[4]);
+ tetalldihedral(ppt[0], ppt[1], ppt[2], ppt[3], bface->cent,
+ &bface->key, NULL);
+ }
+ if (bface->key < cosslidihed) {
+ // It is a sliver. Try to split it.
+ slitet.tet = bface->tt.tet;
+ //cosdd = bface->cent;
+ for (j = 0; j < 6; j++) {
+ if (bface->cent[j] < cosslidihed) {
+ // Found a large dihedral angle.
+ slitet.ver = edge2ver[j]; // Go to the edge.
+ if (splitsliver(&slitet, bface->cent[j], chkencflag)) {
+ sptcount++;
+ break;
+ }
+ }
+ } // j
+ if (j < 6) {
+ // A sliver is split. Queue new slivers.
+ badtetrahedrons->traversalinit();
+ parytet = (triface *) badtetrahedrons->traverse();
+ while (parytet != NULL) {
+ unmarktest2(*parytet);
+ ppt = (point *) & (parytet->tet[4]);
+ tetalldihedral(ppt[0], ppt[1], ppt[2], ppt[3], cosdd,
+ &maxcosd, NULL);
+ if (maxcosd < cosslidihed) {
+ // A new sliver. Queue it.
+ unflipqueue->newindex((void **) &parybface);
+ parybface->forg = ppt[0];
+ parybface->fdest = ppt[1];
+ parybface->fapex = ppt[2];
+ parybface->foppo = ppt[3];
+ parybface->tt.tet = parytet->tet;
+ parybface->tt.ver = 11;
+ parybface->key = maxcosd;
+ for (i = 0; i < 6; i++) {
+ parybface->cent[i] = cosdd[i];
+ }
+ }
+ parytet = (triface *) badtetrahedrons->traverse();
+ }
+ badtetrahedrons->restart();
+ } else {
+ // Didn't split. Queue it again.
+ unflipqueue->newindex((void **) &parybface);
+ *parybface = *bface;
+ } // if (j == 6)
+ } // if (bface->key < cosslidihed)
+ } // if (gettetrahedron(...))
+ } // k
+
+ flipqueue->restart();
+
+ if (b->verbose > 1) {
+ printf(" Split %ld tets.\n", sptcount);
+ }
+ totalsptcount += sptcount;
+
+ if (sptcount == 0l) {
+ // No point has been smoothed.
+ break;
+ } else {
+ iter++;
+ if (iter == 2) { //if (iter >= b->optpasses) {
+ break;
+ }
+ }
+
+ // Swap the two flip queues.
+ swapqueue = flipqueue;
+ flipqueue = unflipqueue;
+ unflipqueue = swapqueue;
+ } // while
+
+ delete flipqueue;
+
+ return totalsptcount;
+}
+
+void meshGRegionBoundaryRecovery::optimizemesh()
+{
+ badface *parybface;
+ triface checktet;
+ point *ppt;
+ int optpasses;
+ optparameters opm;
+ REAL ncosdd[6], maxdd;
+ long totalremcount, remcount;
+ long totalsmtcount, smtcount;
+ long totalsptcount, sptcount;
+ int chkencflag;
+ int iter;
+ int n;
+
+ if (!b->quiet) {
+ Msg::Info(" --> Optimizing mesh...");
+ }
+
+ optpasses = ((1 << b->optlevel) - 1);
+
+ if (b->verbose) {
+ printf(" Optimization level = %d.\n", b->optlevel);
+ printf(" Optimization scheme = %d.\n", b->optscheme);
+ printf(" Number of iteration = %d.\n", optpasses);
+ printf(" Min_Max dihed angle = %g.\n", b->optmaxdihedral);
+ }
+
+ totalsmtcount = totalsptcount = totalremcount = 0l;
+
+ cosmaxdihed = cos(b->optmaxdihedral / 180.0 * PI);
+ cossmtdihed = cos(b->optminsmtdihed / 180.0 * PI);
+ cosslidihed = cos(b->optminslidihed / 180.0 * PI);
+
+ int attrnum = numelemattrib - 1;
+
+ // Put all bad tetrahedra into array.
+ tetrahedrons->traversalinit();
+ checktet.tet = tetrahedrontraverse();
+ while (checktet.tet != NULL) {
+ if (b->convex) { // -c
+ // Skip this tet if it lies in the exterior.
+ if (elemattribute(checktet.tet, attrnum) == -1.0) {
+ checktet.tet = tetrahedrontraverse();
+ continue;
+ }
+ }
+ ppt = (point *) & (checktet.tet[4]);
+ tetalldihedral(ppt[0], ppt[1], ppt[2], ppt[3], ncosdd, &maxdd, NULL);
+ if (maxdd < cosmaxdihed) {
+ // There are bad dihedral angles in this tet.
+ unflipqueue->newindex((void **) &parybface);
+ parybface->tt.tet = checktet.tet;
+ parybface->tt.ver = 11;
+ parybface->forg = ppt[0];
+ parybface->fdest = ppt[1];
+ parybface->fapex = ppt[2];
+ parybface->foppo = ppt[3];
+ parybface->key = maxdd;
+ for (n = 0; n < 6; n++) {
+ parybface->cent[n] = ncosdd[n];
+ }
+ }
+ checktet.tet = tetrahedrontraverse();
+ }
+
+ totalremcount = improvequalitybyflips();
+
+ if ((unflipqueue->objects > 0l) &&
+ ((b->optscheme & 2) || (b->optscheme & 4))) {
+ // The pool is only used by removeslivers().
+ badtetrahedrons = new memorypool(sizeof(triface), b->tetrahedraperblock,
+ sizeof(void *), 0);
+
+ // Smoothing options.
+ opm.min_max_dihedangle = 1;
+ opm.numofsearchdirs = 10;
+ // opm.searchstep = 0.001;
+ opm.maxiter = 30; // Limit the maximum iterations.
+ //opm.checkencflag = 4; // Queue affected tets after smoothing.
+ chkencflag = 4; // Queue affected tets after splitting a sliver.
+ iter = 0;
+
+ while (iter < optpasses) {
+ smtcount = sptcount = remcount = 0l;
+ if (b->optscheme & 2) {
+ smtcount += improvequalitybysmoothing(&opm);
+ totalsmtcount += smtcount;
+ if (smtcount > 0l) {
+ remcount = improvequalitybyflips();
+ totalremcount += remcount;
+ }
+ }
+ if (unflipqueue->objects > 0l) {
+ if (b->optscheme & 4) {
+ sptcount += removeslivers(chkencflag);
+ totalsptcount += sptcount;
+ if (sptcount > 0l) {
+ remcount = improvequalitybyflips();
+ totalremcount += remcount;
+ }
+ }
+ }
+ if (unflipqueue->objects > 0l) {
+ if (remcount > 0l) {
+ iter++;
+ } else {
+ break;
+ }
+ } else {
+ break;
+ }
+ } // while (iter)
+
+ delete badtetrahedrons;
+
+ }
+
+ if (unflipqueue->objects > 0l) {
+ if (b->verbose > 1) {
+ printf(" %ld bad tets remained.\n", unflipqueue->objects);
+ }
+ unflipqueue->restart();
+ }
+
+ if (b->verbose) {
+ if (totalremcount > 0l) {
+ printf(" Removed %ld edges.\n", totalremcount);
+ }
+ if (totalsmtcount > 0l) {
+ printf(" Smoothed %ld points.\n", totalsmtcount);
+ }
+ if (totalsptcount > 0l) {
+ printf(" Split %ld slivers.\n", totalsptcount);
+ }
+ }
+}
+
+//// ////
+//// ////
+//// optimize_cxx /////////////////////////////////////////////////////////////
+
+// Dump the input surface mesh.
+// 'mfilename' is a filename without suffix.
+void meshGRegionBoundaryRecovery::outsurfacemesh(const char* mfilename)
+{
+ FILE *outfile = NULL;
+ char sfilename[256];
+ int firstindex;
+
+ point pointloop;
+ int pointnumber;
+ strcpy(sfilename, mfilename);
+ strcat(sfilename, ".node");
+ outfile = fopen(sfilename, "w");
+ if (!b->quiet) {
+ printf("Writing %s.\n", sfilename);
+ }
+ fprintf(outfile, "%ld 3 0 0\n", points->items);
+ // Determine the first index (0 or 1).
+ firstindex = b->zeroindex ? 0 : in->firstnumber;
+ points->traversalinit();
+ pointloop = pointtraverse();
+ pointnumber = firstindex; // in->firstnumber;
+ while (pointloop != (point) NULL) {
+ // Point number, x, y and z coordinates.
+ fprintf(outfile, "%4d %.17g %.17g %.17g", pointnumber,
+ pointloop[0], pointloop[1], pointloop[2]);
+ fprintf(outfile, "\n");
+ pointloop = pointtraverse();
+ pointnumber++;
+ }
+ fclose(outfile);
+
+ face faceloop;
+ point torg, tdest, tapex;
+ strcpy(sfilename, mfilename);
+ strcat(sfilename, ".smesh");
+ outfile = fopen(sfilename, "w");
+ if (!b->quiet) {
+ printf("Writing %s.\n", sfilename);
+ }
+ int shift = 0; // Default no shiftment.
+ if ((in->firstnumber == 1) && (firstindex == 0)) {
+ shift = 1; // Shift the output indices by 1.
+ }
+ fprintf(outfile, "0 3 0 0\n");
+ fprintf(outfile, "%ld 1\n", subfaces->items);
+ subfaces->traversalinit();
+ faceloop.sh = shellfacetraverse(subfaces);
+ while (faceloop.sh != (shellface *) NULL) {
+ torg = sorg(faceloop);
+ tdest = sdest(faceloop);
+ tapex = sapex(faceloop);
+ fprintf(outfile, "3 %4d %4d %4d %d\n",
+ pointmark(torg) - shift, pointmark(tdest) - shift,
+ pointmark(tapex) - shift, shellmark(faceloop));
+ faceloop.sh = shellfacetraverse(subfaces);
+ }
+ fprintf(outfile, "0\n");
+ fprintf(outfile, "0\n");
+ fclose(outfile);
+
+ face edgeloop;
+ int edgenumber;
+ strcpy(sfilename, mfilename);
+ strcat(sfilename, ".edge");
+ outfile = fopen(sfilename, "w");
+ if (!b->quiet) {
+ printf("Writing %s.\n", sfilename);
+ }
+ fprintf(outfile, "%ld 1\n", subsegs->items);
+ subsegs->traversalinit();
+ edgeloop.sh = shellfacetraverse(subsegs);
+ edgenumber = firstindex; // in->firstnumber;
+ while (edgeloop.sh != (shellface *) NULL) {
+ torg = sorg(edgeloop);
+ tdest = sdest(edgeloop);
+ fprintf(outfile, "%5d %4d %4d %d\n", edgenumber,
+ pointmark(torg) - shift, pointmark(tdest) - shift,
+ shellmark(edgeloop));
+ edgenumber++;
+ edgeloop.sh = shellfacetraverse(subsegs);
+ }
+ fclose(outfile);
+}
+
+void meshGRegionBoundaryRecovery::outmesh2medit(const char* mfilename)
+{
+ FILE *outfile;
+ char mefilename[256];
+ tetrahedron* tetptr;
+ triface tface, tsymface;
+ face segloop, checkmark;
+ point ptloop, p1, p2, p3, p4;
+ long ntets, faces;
+ int shift = 0;
+ int marker;
+
+ if (mfilename != (char *) NULL && mfilename[0] != '\0') {
+ strcpy(mefilename, mfilename);
+ } else {
+ strcpy(mefilename, "unnamed");
+ }
+ strcat(mefilename, ".mesh");
+
+ if (!b->quiet) {
+ printf("Writing %s.\n", mefilename);
+ }
+ outfile = fopen(mefilename, "w");
+ if (outfile == (FILE *) NULL) {
+ printf("File I/O Error: Cannot create file %s.\n", mefilename);
+ return;
+ }
+
+ fprintf(outfile, "MeshVersionFormatted 1\n");
+ fprintf(outfile, "\n");
+ fprintf(outfile, "Dimension\n");
+ fprintf(outfile, "3\n");
+ fprintf(outfile, "\n");
+
+ fprintf(outfile, "\n# Set of mesh vertices\n");
+ fprintf(outfile, "Vertices\n");
+ fprintf(outfile, "%ld\n", points->items);
+
+ points->traversalinit();
+ ptloop = pointtraverse();
+ //pointnumber = 1;
+ while (ptloop != (point) NULL) {
+ // Point coordinates.
+ fprintf(outfile, "%.17g %.17g %.17g", ptloop[0], ptloop[1], ptloop[2]);
+ fprintf(outfile, " 0\n");
+ //setpointmark(ptloop, pointnumber);
+ ptloop = pointtraverse();
+ //pointnumber++;
+ }
+
+ // Medit need start number form 1.
+ if (in->firstnumber == 1) {
+ shift = 0;
+ } else {
+ shift = 1;
+ }
+
+ // Compute the number of faces.
+ ntets = tetrahedrons->items - hullsize;
+ faces = (ntets * 4l + hullsize) / 2l;
+
+ /*
+ fprintf(outfile, "\n# Set of Triangles\n");
+ fprintf(outfile, "Triangles\n");
+ fprintf(outfile, "%ld\n", faces);
+
+ tetrahedrons->traversalinit();
+ tface.tet = tetrahedrontraverse();
+ while (tface.tet != (tetrahedron *) NULL) {
+ for (tface.ver = 0; tface.ver < 4; tface.ver ++) {
+ fsym(tface, tsymface);
+ if (ishulltet(tsymface) ||
+ (elemindex(tface.tet) < elemindex(tsymface.tet))) {
+ p1 = org (tface);
+ p2 = dest(tface);
+ p3 = apex(tface);
+ fprintf(outfile, "%5d %5d %5d",
+ pointmark(p1)+shift, pointmark(p2)+shift, pointmark(p3)+shift);
+ // Check if it is a subface.
+ tspivot(tface, checkmark);
+ if (checkmark.sh == NULL) {
+ marker = 0; // It is an inner face. It's marker is 0.
+ } else {
+ marker = 1; // The default marker for subface is 1.
+ }
+ fprintf(outfile, " %d\n", marker);
+ }
+ }
+ tface.tet = tetrahedrontraverse();
+ }
+ */
+
+ fprintf(outfile, "\n# Set of Tetrahedra\n");
+ fprintf(outfile, "Tetrahedra\n");
+ fprintf(outfile, "%ld\n", ntets);
+
+ tetrahedrons->traversalinit();
+ tetptr = tetrahedrontraverse();
+ while (tetptr != (tetrahedron *) NULL) {
+ if (!b->reversetetori) {
+ p1 = (point) tetptr[4];
+ p2 = (point) tetptr[5];
+ } else {
+ p1 = (point) tetptr[5];
+ p2 = (point) tetptr[4];
+ }
+ p3 = (point) tetptr[6];
+ p4 = (point) tetptr[7];
+ fprintf(outfile, "%5d %5d %5d %5d",
+ pointmark(p1)+shift, pointmark(p2)+shift,
+ pointmark(p3)+shift, pointmark(p4)+shift);
+ if (numelemattrib > 0) {
+ fprintf(outfile, " %.17g", elemattribute(tetptr, 0));
+ } else {
+ fprintf(outfile, " 0");
+ }
+ fprintf(outfile, "\n");
+ tetptr = tetrahedrontraverse();
+ }
+
+ fprintf(outfile, "\nEnd\n");
+ fclose(outfile);
+}
+
+///////////////////////////////////////////////////////////////////////////////
+
+
+
+///////////////////////////////////////////////////////////////////////////////
+
+void meshGRegionBoundaryRecovery::unifysubfaces(face *f1, face *f2)
+{
+ if (b->psc) {
+ // In this case, it is possible that two subfaces are identical.
+ // While they must belong to two different surfaces.
+ return;
+ }
+
+ point pa, pb, pc, pd;
+
+ pa = sorg(*f1);
+ pb = sdest(*f1);
+ pc = sapex(*f1);
+ pd = sapex(*f2);
+
+ if (pc != pd) {
+ printf("Found two facets intersect each other.\n");
+ printf(" 1st: [%d, %d, %d] #%d\n",
+ pointmark(pa), pointmark(pb), pointmark(pc), shellmark(*f1));
+ printf(" 2nd: [%d, %d, %d] #%d\n",
+ pointmark(pa), pointmark(pb), pointmark(pd), shellmark(*f2));
+ terminateBoundaryRecovery(this, 3);
+ } else {
+ printf("Found two duplicated facets.\n");
+ printf(" 1st: [%d, %d, %d] #%d\n",
+ pointmark(pa), pointmark(pb), pointmark(pc), shellmark(*f1));
+ printf(" 2nd: [%d, %d, %d] #%d\n",
+ pointmark(pa), pointmark(pb), pointmark(pd), shellmark(*f2));
+ terminateBoundaryRecovery(this, 3);
+ }
+
+}
+
+void meshGRegionBoundaryRecovery::unifysegments()
+{
+ badface *facelink = NULL, *newlinkitem, *f1, *f2;
+ face *facperverlist, sface;
+ face subsegloop, testseg;
+ point torg, tdest;
+ REAL ori1, ori2, ori3;
+ REAL n1[3], n2[3];
+ int *idx2faclist;
+ int idx, k, m;
+
+ if (b->verbose > 1) {
+ printf(" Unifying segments.\n");
+ }
+
+ // Create a mapping from vertices to subfaces.
+ makepoint2submap(subfaces, idx2faclist, facperverlist);
+
+ subsegloop.shver = 0;
+ subsegs->traversalinit();
+ subsegloop.sh = shellfacetraverse(subsegs);
+ while (subsegloop.sh != (shellface *) NULL) {
+ torg = sorg(subsegloop);
+ tdest = sdest(subsegloop);
+
+ idx = pointmark(torg) - in->firstnumber;
+ // Loop through the set of subfaces containing 'torg'. Get all the
+ // subfaces containing the edge (torg, tdest). Save and order them
+ // in 'sfacelist', the ordering is defined by the right-hand rule
+ // with thumb points from torg to tdest.
+ for (k = idx2faclist[idx]; k < idx2faclist[idx + 1]; k++) {
+ sface = facperverlist[k];
+ // The face may be deleted if it is a duplicated face.
+ if (sface.sh[3] == NULL) continue;
+ // Search the edge torg->tdest.
+ assert(sorg(sface) == torg); // SELF_CHECK
+ if (sdest(sface) != tdest) {
+ senext2self(sface);
+ sesymself(sface);
+ }
+ if (sdest(sface) != tdest) continue;
+
+ // Save the face f in facelink.
+ if (flippool->items >= 2) {
+ f1 = facelink;
+ for (m = 0; m < flippool->items - 1; m++) {
+ f2 = f1->nextitem;
+ ori1 = orient3d(torg, tdest, sapex(f1->ss), sapex(f2->ss));
+ ori2 = orient3d(torg, tdest, sapex(f1->ss), sapex(sface));
+ if (ori1 > 0) {
+ // apex(f2) is below f1.
+ if (ori2 > 0) {
+ // apex(f) is below f1 (see Fig.1).
+ ori3 = orient3d(torg, tdest, sapex(f2->ss), sapex(sface));
+ if (ori3 > 0) {
+ // apex(f) is below f2, insert it.
+ break;
+ } else if (ori3 < 0) {
+ // apex(f) is above f2, continue.
+ } else { // ori3 == 0;
+ // f is coplanar and codirection with f2.
+ unifysubfaces(&(f2->ss), &sface);
+ break;
+ }
+ } else if (ori2 < 0) {
+ // apex(f) is above f1 below f2, inset it (see Fig. 2).
+ break;
+ } else { // ori2 == 0;
+ // apex(f) is coplanar with f1 (see Fig. 5).
+ ori3 = orient3d(torg, tdest, sapex(f2->ss), sapex(sface));
+ if (ori3 > 0) {
+ // apex(f) is below f2, insert it.
+ break;
+ } else {
+ // f is coplanar and codirection with f1.
+ unifysubfaces(&(f1->ss), &sface);
+ break;
+ }
+ }
+ } else if (ori1 < 0) {
+ // apex(f2) is above f1.
+ if (ori2 > 0) {
+ // apex(f) is below f1, continue (see Fig. 3).
+ } else if (ori2 < 0) {
+ // apex(f) is above f1 (see Fig.4).
+ ori3 = orient3d(torg, tdest, sapex(f2->ss), sapex(sface));
+ if (ori3 > 0) {
+ // apex(f) is below f2, insert it.
+ break;
+ } else if (ori3 < 0) {
+ // apex(f) is above f2, continue.
+ } else { // ori3 == 0;
+ // f is coplanar and codirection with f2.
+ unifysubfaces(&(f2->ss), &sface);
+ break;
+ }
+ } else { // ori2 == 0;
+ // f is coplanar and with f1 (see Fig. 6).
+ ori3 = orient3d(torg, tdest, sapex(f2->ss), sapex(sface));
+ if (ori3 > 0) {
+ // f is also codirection with f1.
+ unifysubfaces(&(f1->ss), &sface);
+ break;
+ } else {
+ // f is above f2, continue.
+ }
+ }
+ } else { // ori1 == 0;
+ // apex(f2) is coplanar with f1. By assumption, f1 is not
+ // coplanar and codirection with f2.
+ if (ori2 > 0) {
+ // apex(f) is below f1, continue (see Fig. 7).
+ } else if (ori2 < 0) {
+ // apex(f) is above f1, insert it (see Fig. 7).
+ break;
+ } else { // ori2 == 0.
+ // apex(f) is coplanar with f1 (see Fig. 8).
+ // f is either codirection with f1 or is codirection with f2.
+ facenormal(torg, tdest, sapex(f1->ss), n1, 1, NULL);
+ facenormal(torg, tdest, sapex(sface), n2, 1, NULL);
+ if (dot(n1, n2) > 0) {
+ unifysubfaces(&(f1->ss), &sface);
+ } else {
+ unifysubfaces(&(f2->ss), &sface);
+ }
+ break;
+ }
+ }
+ // Go to the next item;
+ f1 = f2;
+ } // for (m = 0; ...)
+ if (sface.sh[3] != NULL) {
+ // Insert sface between f1 and f2.
+ newlinkitem = (badface *) flippool->alloc();
+ newlinkitem->ss = sface;
+ newlinkitem->nextitem = f1->nextitem;
+ f1->nextitem = newlinkitem;
+ }
+ } else if (flippool->items == 1) {
+ f1 = facelink;
+ // Make sure that f is not coplanar and codirection with f1.
+ ori1 = orient3d(torg, tdest, sapex(f1->ss), sapex(sface));
+ if (ori1 == 0) {
+ // f is coplanar with f1 (see Fig. 8).
+ facenormal(torg, tdest, sapex(f1->ss), n1, 1, NULL);
+ facenormal(torg, tdest, sapex(sface), n2, 1, NULL);
+ if (dot(n1, n2) > 0) {
+ // The two faces are codirectional as well.
+ unifysubfaces(&(f1->ss), &sface);
+ }
+ }
+ // Add this face to link if it is not deleted.
+ if (sface.sh[3] != NULL) {
+ // Add this face into link.
+ newlinkitem = (badface *) flippool->alloc();
+ newlinkitem->ss = sface;
+ newlinkitem->nextitem = NULL;
+ f1->nextitem = newlinkitem;
+ }
+ } else {
+ // The first face.
+ newlinkitem = (badface *) flippool->alloc();
+ newlinkitem->ss = sface;
+ newlinkitem->nextitem = NULL;
+ facelink = newlinkitem;
+ }
+ } // for (k = idx2faclist[idx]; ...)
+
+ if (b->psc) {
+ // Set Steiner point -to- segment map.
+ if (pointtype(torg) == FREESEGVERTEX) {
+ setpoint2sh(torg, sencode(subsegloop));
+ }
+ if (pointtype(tdest) == FREESEGVERTEX) {
+ setpoint2sh(tdest, sencode(subsegloop));
+ }
+ }
+
+ // Set the connection between this segment and faces containing it,
+ // at the same time, remove redundant segments.
+ f1 = facelink;
+ for (k = 0; k < flippool->items; k++) {
+ sspivot(f1->ss, testseg);
+ // If 'testseg' is not 'subsegloop' and is not dead, it is redundant.
+ if ((testseg.sh != subsegloop.sh) && (testseg.sh[3] != NULL)) {
+ shellfacedealloc(subsegs, testseg.sh);
+ }
+ // Bonds the subface and the segment together.
+ ssbond(f1->ss, subsegloop);
+ f1 = f1->nextitem;
+ }
+
+ // Create the face ring at the segment.
+ if (flippool->items > 1) {
+ f1 = facelink;
+ for (k = 1; k <= flippool->items; k++) {
+ k < flippool->items ? f2 = f1->nextitem : f2 = facelink;
+ sbond1(f1->ss, f2->ss);
+ f1 = f2;
+ }
+ }
+
+ // All identified segments has an init marker "0".
+ flippool->restart();
+
+ subsegloop.sh = shellfacetraverse(subsegs);
+ }
+
+ delete [] idx2faclist;
+ delete [] facperverlist;
+}
+
+void meshGRegionBoundaryRecovery::jettisonnodes()
+{
+ point pointloop;
+ bool jetflag;
+ int oldidx, newidx;
+ int remcount;
+
+ if (!b->quiet) {
+ printf("Jettisoning redundant points.\n");
+ }
+
+ points->traversalinit();
+ pointloop = pointtraverse();
+ oldidx = newidx = 0; // in->firstnumber;
+ remcount = 0;
+ while (pointloop != (point) NULL) {
+ jetflag = (pointtype(pointloop) == DUPLICATEDVERTEX) ||
+ (pointtype(pointloop) == UNUSEDVERTEX);
+ if (jetflag) {
+ // It is a duplicated or unused point, delete it.
+ pointdealloc(pointloop);
+ remcount++;
+ } else {
+ // Re-index it.
+ setpointmark(pointloop, newidx + in->firstnumber);
+ /*
+ if (in->pointmarkerlist != (int *) NULL) {
+ if (oldidx < in->numberofpoints) {
+ // Re-index the point marker as well.
+ in->pointmarkerlist[newidx] = in->pointmarkerlist[oldidx];
+ }
+ }
+ */
+ newidx++;
+ }
+ oldidx++;
+ pointloop = pointtraverse();
+ }
+ if (b->verbose) {
+ printf(" %ld duplicated vertices are removed.\n", dupverts);
+ printf(" %ld unused vertices are removed.\n", unuverts);
+ }
+ dupverts = 0l;
+ unuverts = 0l;
+
+ // The following line ensures that dead items in the pool of nodes cannot
+ // be allocated for the new created nodes. This ensures that the input
+ // nodes will occur earlier in the output files, and have lower indices.
+ points->deaditemstack = (void *) NULL;
+}
+
+///////////////////////////////////////////////////////////////////////////////
+
+void meshGRegionBoundaryRecovery::reconstructmesh(GRegion *_gr)
+{
+
+ double t_start = Cpu();
+
+ std::vector<MVertex*> _vertices;
+
+ // Get the set of vertices from GRegion.
+ {
+ std::set<MVertex*> all;
+ std::list<GFace*> f = _gr->faces();
+ for (std::list<GFace*>::iterator it = f.begin(); it != f.end(); ++it) {
+ GFace *gf = *it;
+ for (unsigned int i = 0;i< gf->triangles.size(); i++){
+ all.insert(gf->triangles[i]->getVertex(0));
+ all.insert(gf->triangles[i]->getVertex(1));
+ all.insert(gf->triangles[i]->getVertex(2));
+ }
+ }
+ _vertices.insert(_vertices.begin(), all.begin(), all.end());
+ }
+
+ initializepools();
+
+ std::vector<MTetrahedron*> tets;
+
+ delaunayMeshIn3D(_vertices, tets, false);
+
+ { //transfernodes();
+ point pointloop;
+ REAL x, y, z;
+ int i;
+
+ // Read the points.
+ for (i = 0; i < _vertices.size(); i++) {
+ makepoint(&pointloop, UNUSEDVERTEX);
+ // Read the point coordinates.
+ x = pointloop[0] = _vertices[i]->x();
+ y = pointloop[1] = _vertices[i]->y();
+ z = pointloop[2] = _vertices[i]->z();
+ // Determine the smallest and largest x, y and z coordinates.
+ if (i == 0) {
+ xmin = xmax = x;
+ ymin = ymax = y;
+ zmin = zmax = z;
+ } else {
+ xmin = (x < xmin) ? x : xmin;
+ xmax = (x > xmax) ? x : xmax;
+ ymin = (y < ymin) ? y : ymin;
+ ymax = (y > ymax) ? y : ymax;
+ zmin = (z < zmin) ? z : zmin;
+ zmax = (z > zmax) ? z : zmax;
+ }
+ }
+
+ // 'longest' is the largest possible edge length formed by input vertices.
+ x = xmax - xmin;
+ y = ymax - ymin;
+ z = zmax - zmin;
+ longest = sqrt(x * x + y * y + z * z);
+ if (longest == 0.0) {
+ Msg::Warning("Error: The point set is trivial.\n");
+ return;
+ }
+
+ // Two identical points are distinguished by 'lengthlimit'.
+ if (b->minedgelength == 0.0) {
+ b->minedgelength = longest * b->epsilon;
+ }
+ } // transfernodes();
+
+ point *idx2verlist;
+
+ // Create a map from indices to vertices.
+ makeindex2pointmap(idx2verlist);
+ // 'idx2verlist' has length 'in->numberofpoints + 1'.
+ if (in->firstnumber == 1) {
+ idx2verlist[0] = dummypoint; // Let 0th-entry be dummypoint.
+ }
+
+ if (1) {
+ // Index the vertices.
+ for (unsigned int i = 0; i < _vertices.size(); i++){
+ _vertices[i]->setIndex(i);
+ }
+
+ tetrahedron *ver2tetarray;
+ //point *idx2verlist;
+ triface tetloop, checktet, prevchktet;
+ triface hulltet, face1, face2;
+ tetrahedron tptr;
+ point p[4], q[3];
+ REAL ori; //, attrib, volume;
+ int bondflag;
+ int t1ver;
+ int idx, i, j, k;
+
+ Msg::Info("Reconstructing mesh ...");
+
+ // Allocate an array that maps each vertex to its adjacent tets.
+ ver2tetarray = new tetrahedron[_vertices.size() + 1];
+ //for (i = 0; i < in->numberofpoints + 1; i++) {
+ for (i = in->firstnumber; i < _vertices.size() + in->firstnumber; i++) {
+ setpointtype(idx2verlist[i], VOLVERTEX); // initial type.
+ ver2tetarray[i] = NULL;
+ }
+
+ // Create the tetrahedra and connect those that share a common face.
+ for (i = 0; i < tets.size(); i++) {
+ // Get the four vertices.
+ for (j = 0; j < 4; j++) {
+ p[j] = idx2verlist[tets[i]->getVertex(j)->getIndex()];
+ }
+ // Check the orientation.
+ ori = orient3d(p[0], p[1], p[2], p[3]);
+ if (ori > 0.0) {
+ // Swap the first two vertices.
+ q[0] = p[0]; p[0] = p[1]; p[1] = q[0];
+ } else if (ori == 0.0) {
+ if (!b->quiet) {
+ printf("Warning: Tet #%d is degenerate.\n", i + in->firstnumber);
+ }
+ }
+ // Create a new tetrahedron.
+ maketetrahedron(&tetloop); // tetloop.ver = 11.
+ setvertices(tetloop, p[0], p[1], p[2], p[3]);
+ // Try connecting this tet to others that share the common faces.
+ for (tetloop.ver = 0; tetloop.ver < 4; tetloop.ver++) {
+ p[3] = oppo(tetloop);
+ // Look for other tets having this vertex.
+ idx = pointmark(p[3]);
+ tptr = ver2tetarray[idx];
+ // Link the current tet to the next one in the stack.
+ tetloop.tet[8 + tetloop.ver] = tptr;
+ // Push the current tet onto the stack.
+ ver2tetarray[idx] = encode(tetloop);
+ decode(tptr, checktet);
+ if (checktet.tet != NULL) {
+ p[0] = org(tetloop); // a
+ p[1] = dest(tetloop); // b
+ p[2] = apex(tetloop); // c
+ prevchktet = tetloop;
+ do {
+ q[0] = org(checktet); // a'
+ q[1] = dest(checktet); // b'
+ q[2] = apex(checktet); // c'
+ // Check the three faces at 'd' in 'checktet'.
+ bondflag = 0;
+ for (j = 0; j < 3; j++) {
+ // Go to the face [b',a',d], or [c',b',d], or [a',c',d].
+ esym(checktet, face2);
+ if (face2.tet[face2.ver & 3] == NULL) {
+ k = ((j + 1) % 3);
+ if (q[k] == p[0]) { // b', c', a' = a
+ if (q[j] == p[1]) { // a', b', c' = b
+ // [#,#,d] is matched to [b,a,d].
+ esym(tetloop, face1);
+ bond(face1, face2);
+ bondflag++;
+ }
+ }
+ if (q[k] == p[1]) { // b',c',a' = b
+ if (q[j] == p[2]) { // a',b',c' = c
+ // [#,#,d] is matched to [c,b,d].
+ enext(tetloop, face1);
+ esymself(face1);
+ bond(face1, face2);
+ bondflag++;
+ }
+ }
+ if (q[k] == p[2]) { // b',c',a' = c
+ if (q[j] == p[0]) { // a',b',c' = a
+ // [#,#,d] is matched to [a,c,d].
+ eprev(tetloop, face1);
+ esymself(face1);
+ bond(face1, face2);
+ bondflag++;
+ }
+ }
+ } else {
+ bondflag++;
+ }
+ enextself(checktet);
+ } // j
+ // Go to the next tet in the link.
+ tptr = checktet.tet[8 + checktet.ver];
+ if (bondflag == 3) {
+ // All three faces at d in 'checktet' have been connected.
+ // It can be removed from the link.
+ prevchktet.tet[8 + prevchktet.ver] = tptr;
+ } else {
+ // Bakup the previous tet in the link.
+ prevchktet = checktet;
+ }
+ decode(tptr, checktet);
+ } while (checktet.tet != NULL);
+ } // if (checktet.tet != NULL)
+ } // for (tetloop.ver = 0; ...
+ } // i
+
+ // Remember a tet of the mesh.
+ recenttet = tetloop;
+
+ // Create hull tets, create the point-to-tet map, and clean up the
+ // temporary spaces used in each tet.
+ hullsize = tetrahedrons->items;
+
+ tetrahedrons->traversalinit();
+ tetloop.tet = tetrahedrontraverse();
+ while (tetloop.tet != (tetrahedron *) NULL) {
+ tptr = encode(tetloop);
+ for (tetloop.ver = 0; tetloop.ver < 4; tetloop.ver++) {
+ if (tetloop.tet[tetloop.ver] == NULL) {
+ // Create a hull tet.
+ maketetrahedron(&hulltet);
+ p[0] = org(tetloop);
+ p[1] = dest(tetloop);
+ p[2] = apex(tetloop);
+ setvertices(hulltet, p[1], p[0], p[2], dummypoint);
+ bond(tetloop, hulltet);
+ // Try connecting this to others that share common hull edges.
+ for (j = 0; j < 3; j++) {
+ fsym(hulltet, face2);
+ while (1) {
+ if (face2.tet == NULL) break;
+ esymself(face2);
+ if (apex(face2) == dummypoint) break;
+ fsymself(face2);
+ }
+ if (face2.tet != NULL) {
+ // Found an adjacent hull tet.
+ assert(face2.tet[face2.ver & 3] == NULL);
+ esym(hulltet, face1);
+ bond(face1, face2);
+ }
+ enextself(hulltet);
+ }
+ //hullsize++;
+ }
+ // Create the point-to-tet map.
+ setpoint2tet((point) (tetloop.tet[4 + tetloop.ver]), tptr);
+ // Clean the temporary used space.
+ tetloop.tet[8 + tetloop.ver] = NULL;
+ }
+ tetloop.tet = tetrahedrontraverse();
+ }
+
+ hullsize = tetrahedrons->items - hullsize;
+
+ delete [] ver2tetarray;
+ tets.clear(); // Release all memory in this vector.
+ }
+
+ std::list<GFace*> f_list = _gr->faces();
+ std::list<GEdge*> e_list = _gr->edges();
+
+ {
+ Msg::Info(" --> Creating surface mesh ...");
+ face newsh;
+ face newseg;
+ point p[4];
+ int idx, i, j;
+
+ for (std::list<GFace*>::iterator it = f_list.begin(); it != f_list.end(); ++it){
+ GFace *gf = *it;
+ for (i = 0;i< gf->triangles.size(); i++) {
+ for (j = 0; j < 3; j++) {
+ p[j] = idx2verlist[gf->triangles[i]->getVertex(j)->getIndex()];
+ if (pointtype(p[j]) == VOLVERTEX) {
+ setpointtype(p[j], FACETVERTEX);
+ }
+ }
+ // Create an initial triangulation.
+ makeshellface(subfaces, &newsh);
+ setshvertices(newsh, p[0], p[1], p[2]);
+ setshellmark(newsh, gf->tag()); // the GFace's tag.
+ recentsh = newsh;
+ for (j = 0; j < 3; j++) {
+ makeshellface(subsegs, &newseg);
+ setshvertices(newseg, sorg(newsh), sdest(newsh), NULL);
+ // Set the default segment marker '-1'.
+ setshellmark(newseg, -1);
+ ssbond(newsh, newseg);
+ senextself(newsh);
+ }
+ } // i
+ } // it
+
+ // Connecting triangles, removing redundant segments.
+ unifysegments();
+
+ Msg::Info(" --> Identifying boundary edges ...");
+
+ face* shperverlist;
+ int* idx2shlist;
+ face searchsh, neighsh;
+ face segloop, checkseg;
+ point checkpt;
+
+ // Construct a map from points to subfaces.
+ makepoint2submap(subfaces, idx2shlist, shperverlist);
+
+ // Process the set of PSC edges.
+ // Remeber that all segments have default marker '-1'.
+ for (std::list<GEdge*>::iterator it = e_list.begin(); it != e_list.end();
+ ++it) {
+ GEdge *ge = *it;
+ for (i = 0; i < ge->lines.size(); i++) {
+ for (j = 0; j < 2; j++) {
+ p[j] = idx2verlist[ge->lines[i]->getVertex(j)->getIndex()];
+ setpointtype(p[j], RIDGEVERTEX);
+ }
+ if (p[0] == p[1]) {
+ // This is a potential problem in surface mesh.
+ continue; // Skip this edge.
+ }
+ // Find a face contains the edge p[0], p[1].
+ newseg.sh = NULL;
+ searchsh.sh = NULL;
+ idx = pointmark(p[0]) - in->firstnumber;
+ for (j = idx2shlist[idx]; j < idx2shlist[idx + 1]; j++) {
+ checkpt = sdest(shperverlist[j]);
+ if (checkpt == p[1]) {
+ searchsh = shperverlist[j];
+ break; // Found.
+ } else {
+ checkpt = sapex(shperverlist[j]);
+ if (checkpt == p[1]) {
+ senext2(shperverlist[j], searchsh);
+ sesymself(searchsh);
+ break;
+ }
+ }
+ } // j
+ if (searchsh.sh != NULL) {
+ // Check if this edge is already a segment of the mesh.
+ sspivot(searchsh, checkseg);
+ if (checkseg.sh != NULL) {
+ // This segment already exist.
+ newseg = checkseg;
+ } else {
+ // Create a new segment at this edge.
+ makeshellface(subsegs, &newseg);
+ setshvertices(newseg, p[0], p[1], NULL);
+ ssbond(searchsh, newseg);
+ spivot(searchsh, neighsh);
+ if (neighsh.sh != NULL) {
+ ssbond(neighsh, newseg);
+ }
+ }
+ } else {
+ // It is a dangling segment (not belong to any facets).
+ // Check if segment [p[0],p[1]] already exists.
+ // TODO: Change the brute-force search. Slow!
+ point *ppt;
+ subsegs->traversalinit();
+ segloop.sh = shellfacetraverse(subsegs);
+ while (segloop.sh != NULL) {
+ ppt = (point *) &(segloop.sh[3]);
+ if (((ppt[0] == p[0]) && (ppt[1] == p[1])) ||
+ ((ppt[0] == p[1]) && (ppt[1] == p[0]))) {
+ // Found!
+ newseg = segloop;
+ break;
+ }
+ segloop.sh = shellfacetraverse(subsegs);
+ }
+ if (newseg.sh == NULL) {
+ makeshellface(subsegs, &newseg);
+ setshvertices(newseg, p[0], p[1], NULL);
+ }
+ }
+ setshellmark(newseg, ge->tag());
+ } // i
+ } // e_list
+
+ delete [] shperverlist;
+ delete [] idx2shlist;
+
+ Msg::Debug(" %ld (%ld) subfaces (segments).", subfaces->items,
+ subsegs->items);
+
+ // The total number of iunput segments.
+ insegments = subsegs->items;
+
+ if (0) {
+ outsurfacemesh("dump");
+ }
+
+ } // meshsurface()
+
+ delete [] idx2verlist;
+
+ ////////////////////////////////////////////////////////
+ // Boundary recovery.
+ clock_t t_tmp;
+
+ recoverboundary(t_tmp);
+
+ carveholes();
+
+ if (subvertstack->objects > 0l) {
+ suppresssteinerpoints();
+ }
+
+ recoverdelaunay();
+
+ optimizemesh();
+
+ if ((dupverts > 0l) || (unuverts > 0l)) {
+ // Remove hanging nodes.
+ jettisonnodes();
+ }
+
+ long tetnumber, facenumber;
+
+ Msg::Debug("Statistics:\n");
+ Msg::Debug(" Input points: %ld", _vertices.size());
+ //if (b->refine) {
+ // printf(" Input tetrahedra: %d\n", in->numberoftetrahedra);
+ //}
+ if (b->plc) {
+ Msg::Debug(" Input facets: %ld", f_list.size());
+ Msg::Debug(" Input segments: %ld", e_list.size());
+ //printf(" Input holes: %d\n", in->numberofholes);
+ //printf(" Input regions: %d\n", in->numberofregions);
+ }
+
+ tetnumber = tetrahedrons->items - hullsize;
+ facenumber = (tetnumber * 4l + hullsize) / 2l;
+
+ if (b->weighted) { // -w option
+ Msg::Debug(" Mesh points: %ld", points->items - nonregularcount);
+ } else {
+ Msg::Debug(" Mesh points: %ld", points->items);
+ }
+ Msg::Debug(" Mesh tetrahedra: %ld", tetnumber);
+ Msg::Debug(" Mesh faces: %ld", facenumber);
+ if (meshedges > 0l) {
+ Msg::Debug(" Mesh edges: %ld", meshedges);
+ } else {
+ if (!nonconvex) {
+ long vsize = points->items - dupverts - unuverts;
+ if (b->weighted) vsize -= nonregularcount;
+ meshedges = vsize + facenumber - tetnumber - 1;
+ Msg::Debug(" Mesh edges: %ld", meshedges);
+ }
+ }
+
+ if (b->plc || b->refine) {
+ Msg::Debug(" Mesh faces on facets: %ld", subfaces->items);
+ Msg::Debug(" Mesh edges on segments: %ld", subsegs->items);
+ if (st_volref_count > 0l) {
+ Msg::Debug(" Steiner points inside domain: %ld", st_volref_count);
+ }
+ if (st_facref_count > 0l) {
+ Msg::Debug(" Steiner points on facets: %ld", st_facref_count);
+ }
+ if (st_segref_count > 0l) {
+ Msg::Debug(" Steiner points on segments: %ld", st_segref_count);
+ }
+ } else {
+ Msg::Debug(" Convex hull faces: %ld", hullsize);
+ if (meshhulledges > 0l) {
+ Msg::Debug(" Convex hull edges: %ld", meshhulledges);
+ }
+ }
+ if (b->weighted) { // -w option
+ Msg::Debug(" Skipped non-regular points: %ld", nonregularcount);
+ }
+
+ // Debug
+ //outmesh2medit("dump");
+ ////////////////////////////////////////////////////////
+
+{
+ ////////////////////////////////////////////////////////
+ // Write mesh into to GRegion.
+
+ Msg::Info(" --> Write to GRegion ...");
+
+ point p[4];
+ int i;
+
+ // In some hard cases, the surface mesh may be modified.
+ // Find the list of GFaces, GEdges that have been modified.
+ std::set<int> l_faces, l_edges;
+
+ if (points->items > _vertices.size()) {
+ face parentseg, parentsh, spinsh;
+ point pointloop;
+ // Create newly added mesh vertices.
+ // The new vertices must be added at the end of the point list.
+ points->traversalinit();
+ pointloop = pointtraverse();
+ while (pointloop != (point) NULL) {
+ if (issteinerpoint(pointloop)) {
+ // Check if this Steiner point locates on boundary.
+ if (pointtype(pointloop) == FREESEGVERTEX) {
+ sdecode(point2sh(pointloop), parentseg);
+ assert(parentseg.sh != NULL);
+ l_edges.insert(shellmark(parentseg));
+ // Get the GEdge containing this vertex.
+ GEdge *ge = NULL;
+ GFace *gf = NULL;
+ int etag = shellmark(parentseg);
+ for (std::list<GEdge*>::iterator it = e_list.begin();
+ it != e_list.end(); ++it) {
+ if ((*it)->tag() == etag) {
+ ge = *it;
+ break;
+ }
+ }
+ if (ge != NULL) {
+ MEdgeVertex *v = new MEdgeVertex(pointloop[0], pointloop[1],
+ pointloop[2], ge, 0);
+ double uu = 0;
+ if (reparamMeshVertexOnEdge(v, ge, uu)) {
+ v->setParameter(0, uu);
+ }
+ v->setIndex(pointmark(pointloop));
+ _gr->mesh_vertices.push_back(v);
+ _vertices.push_back(v);
+ }
+ spivot(parentseg, parentsh);
+ if (parentsh.sh != NULL) {
+ if (ge == NULL) {
+ // We treat this vertex a facet vertex.
+ int ftag = shellmark(parentsh);
+ for (std::list<GFace*>::iterator it = f_list.begin();
+ it != f_list.end(); ++it) {
+ if ((*it)->tag() == ftag) {
+ gf = *it;
+ break;
+ }
+ }
+ if (gf != NULL) {
+ MFaceVertex *v = new MFaceVertex(pointloop[0], pointloop[1],
+ pointloop[2], gf, 0, 0);
+ SPoint2 param;
+ if (reparamMeshVertexOnFace(v, gf, param)) {
+ v->setParameter(0, param.x());
+ v->setParameter(1, param.y());
+ }
+ v->setIndex(pointmark(pointloop));
+ _gr->mesh_vertices.push_back(v);
+ _vertices.push_back(v);
+ }
+ }
+ // Record all the GFaces' tag at this segment.
+ spinsh = parentsh;
+ while (1) {
+ l_faces.insert(shellmark(spinsh));
+ spivotself(spinsh);
+ if (spinsh.sh == parentsh.sh) break;
+ }
+ }
+ if ((ge == NULL) && (gf == NULL)) {
+ // Create an interior mesh vertex.
+ MVertex *v = new MVertex(pointloop[0], pointloop[1], pointloop[2], _gr);
+ v->setIndex(pointmark(pointloop));
+ _gr->mesh_vertices.push_back(v);
+ _vertices.push_back(v);
+ }
+ } else if (pointtype(pointloop) == FREEFACETVERTEX) {
+ sdecode(point2sh(pointloop), parentsh);
+ assert(parentsh.sh != NULL);
+ l_faces.insert(shellmark(parentsh));
+ // Get the GFace containing this vertex.
+ GFace *gf = NULL;
+ int ftag = shellmark(parentsh);
+ for (std::list<GFace*>::iterator it = f_list.begin();
+ it != f_list.end(); ++it) {
+ if ((*it)->tag() == ftag) {
+ gf = *it;
+ break;
+ }
+ }
+ if (gf != NULL) {
+ MFaceVertex *v = new MFaceVertex(pointloop[0], pointloop[1],
+ pointloop[2], gf, 0, 0);
+ SPoint2 param;
+ if (reparamMeshVertexOnFace(v, gf, param)) {
+ v->setParameter(0, param.x());
+ v->setParameter(1, param.y());
+ }
+ v->setIndex(pointmark(pointloop));
+ _gr->mesh_vertices.push_back(v);
+ _vertices.push_back(v);
+ } else {
+ // Create a mesh vertex.
+ MVertex *v = new MVertex(pointloop[0], pointloop[1], pointloop[2], _gr);
+ v->setIndex(pointmark(pointloop));
+ _gr->mesh_vertices.push_back(v);
+ _vertices.push_back(v);
+ }
+ } else {
+ MVertex *v = new MVertex(pointloop[0], pointloop[1], pointloop[2], _gr);
+ v->setIndex(pointmark(pointloop));
+ _gr->mesh_vertices.push_back(v);
+ _vertices.push_back(v);
+ }
+ }
+ pointloop = pointtraverse();
+ }
+ assert(_vertices.size() == points->items);
+ }
+
+ if (l_edges.size() > 0) {
+ // There are Steiner points on segments!
+ face segloop;
+ // Re-create the segment mesh in the corresponding GEdges.
+ for (std::set<int>::iterator it=l_edges.begin(); it!=l_edges.end(); ++it) {
+ // Find the GFace with tag = *it.
+ GEdge *ge = NULL;
+ int etag = *it;
+ for (std::list<GEdge*>::iterator eit = e_list.begin();
+ eit != e_list.end(); ++eit) {
+ if ((*eit)->tag() == etag) {
+ ge = (*eit);
+ break;
+ }
+ }
+ assert(ge != NULL);
+ // Delete the old triangles.
+ for(i = 0; i < ge->lines.size(); i++)
+ delete ge->lines[i];
+ ge->lines.clear();
+ ge->deleteVertexArrays();
+ // Create the new triangles.
+ segloop.shver = 0;
+ subsegs->traversalinit();
+ segloop.sh = shellfacetraverse(subsegs);
+ while (segloop.sh != NULL) {
+ if (shellmark(segloop) == etag) {
+ p[0] = sorg(segloop);
+ p[1] = sdest(segloop);
+ MVertex *v1 = _vertices[pointmark(p[0])];
+ MVertex *v2 = _vertices[pointmark(p[1])];
+ MLine *t = new MLine(v1, v2);
+ ge->lines.push_back(t);
+ }
+ segloop.sh = shellfacetraverse(subsegs);
+ }
+ } // it
+ }
+
+ if (l_faces.size() > 0) {
+ // There are Steiner points on facets!
+ face subloop;
+ // Re-create the surface mesh in the corresponding GFaces.
+ for (std::set<int>::iterator it=l_faces.begin(); it!=l_faces.end(); ++it) {
+ // Find the GFace with tag = *it.
+ GFace *gf = NULL;
+ int ftag = *it;
+ for (std::list<GFace*>::iterator fit = f_list.begin();
+ fit != f_list.end(); ++fit) {
+ if ((*fit)->tag() == ftag) {
+ gf = (*fit);
+ break;
+ }
+ }
+ assert(gf != NULL);
+ // Delete the old triangles.
+ Msg::Info("Steiner points exist on GFace %d",gf->tag());
+ for(i = 0; i < gf->triangles.size(); i++)
+ delete gf->triangles[i];
+ //for(i = 0; i < gf->quadrangles.size(); i++)
+ // delete gf->quadrangles[i];
+ gf->triangles.clear();
+ //gf->quadrangles.clear();
+ gf->deleteVertexArrays();
+ // Create the new triangles.
+ subloop.shver = 0;
+ subfaces->traversalinit();
+ subloop.sh = shellfacetraverse(subfaces);
+ while (subloop.sh != NULL) {
+ if (shellmark(subloop) == ftag) {
+ p[0] = sorg(subloop);
+ p[1] = sdest(subloop);
+ p[2] = sapex(subloop);
+ MVertex *v1 = _vertices[pointmark(p[0])];
+ MVertex *v2 = _vertices[pointmark(p[1])];
+ MVertex *v3 = _vertices[pointmark(p[2])];
+ MTriangle *t = new MTriangle(v1, v2, v3);
+ gf->triangles.push_back(t);
+ }
+ subloop.sh = shellfacetraverse(subfaces);
+ }
+ } // it
+ }
+
+ triface tetloop;
+
+ tetloop.ver = 11;
+ tetrahedrons->traversalinit();
+ tetloop.tet = tetrahedrontraverse();
+ while (tetloop.tet != (tetrahedron *) NULL) {
+ p[0] = org(tetloop);
+ p[1] = dest(tetloop);
+ p[2] = apex(tetloop);
+ p[3] = oppo(tetloop);
+ MVertex *v1 = _vertices[pointmark(p[0])];
+ MVertex *v2 = _vertices[pointmark(p[1])];
+ MVertex *v3 = _vertices[pointmark(p[2])];
+ MVertex *v4 = _vertices[pointmark(p[3])];
+ MTetrahedron *t = new MTetrahedron(v1, v2, v3, v4);
+ _gr->tetrahedra.push_back(t);
+ tetloop.tet = tetrahedrontraverse();
+ }
+} // mesh output
+ Msg::Info("Reconstruct time : %g sec",Cpu()-t_start);
+}
+
+void terminateBoundaryRecovery(void *, int exitcode)
+{
+ throw exitcode;
+}
diff --git a/Mesh/meshGRegionBoundaryRecovery.h b/Mesh/meshGRegionBoundaryRecovery.h
new file mode 100644
index 0000000000000000000000000000000000000000..7b76035a718466fe77c6f0932709041758000c35
--- /dev/null
+++ b/Mesh/meshGRegionBoundaryRecovery.h
@@ -0,0 +1,882 @@
+// Gmsh - Copyright (C) 1997-2014 C. Geuzaine, J.-F. Remacle
+//
+// See the LICENSE.txt file for license information. Please report all
+// bugs and problems to the public mailing list <gmsh@geuz.org>.
+
+#ifndef _MESH_GREGION_BOUNDARY_RECOVERY_H_
+#define _MESH_GREGION_BOUNDARY_RECOVERY_H_
+
+#include "GRegion.h"
+#include <time.h>
+
+#define REAL double
+
+class meshGRegionInputs {
+ public:
+ int firstnumber;
+ meshGRegionInputs() {
+ firstnumber = 0;
+ }
+};
+
+class meshGRegionOptions {
+
+ public:
+
+ int plc;
+ int psc;
+ int refine;
+ int quality;
+ int nobisect;
+ int coarsen;
+ int weighted;
+ int brio_hilbert;
+ int incrflip;
+ int flipinsert;
+ int metric;
+ int varvolume;
+ int fixedvolume;
+ int regionattrib;
+ int conforming;
+ int insertaddpoints;
+ int diagnose;
+ int convex;
+ int nomergefacet;
+ int nomergevertex;
+ int noexact;
+ int nostaticfilter;
+ int zeroindex;
+ int facesout;
+ int edgesout;
+ int neighout;
+ int voroout;
+ int meditview;
+ int vtkview;
+ int nobound;
+ int nonodewritten;
+ int noelewritten;
+ int nofacewritten;
+ int noiterationnum;
+ int nojettison;
+ int reversetetori;
+ int docheck;
+ int quiet;
+ int verbose;
+
+ int vertexperblock;
+ int tetrahedraperblock;
+ int shellfaceperblock;
+ int nobisect_param;
+ int addsteiner_algo;
+ int coarsen_param;
+ int weighted_param;
+ int fliplinklevel;
+ int flipstarsize;
+ int fliplinklevelinc;
+ int reflevel;
+ int optlevel;
+ int optscheme;
+ int delmaxfliplevel;
+ int order;
+ int steinerleft;
+ int no_sort;
+ int hilbert_order;
+ int hilbert_limit;
+ int brio_threshold;
+ REAL brio_ratio;
+ REAL facet_ang_tol;
+ REAL maxvolume;
+ REAL minratio;
+ REAL mindihedral;
+ REAL optmaxdihedral;
+ REAL optminsmtdihed;
+ REAL optminslidihed;
+ REAL epsilon;
+ REAL minedgelength;
+ REAL coarsen_percent;
+
+ // Initialize all variables.
+ meshGRegionOptions()
+ {
+ plc = 1; // -p
+ psc = 0;
+ refine = 0;
+ quality = 0;
+ nobisect = 1;
+ coarsen = 0;
+ metric = 0;
+ weighted = 0;
+ brio_hilbert = 1; // -Y
+ incrflip = 0;
+ flipinsert = 0;
+ varvolume = 0;
+ fixedvolume = 0;
+ noexact = 0;
+ nostaticfilter = 0;
+ insertaddpoints = 0;
+ regionattrib = 1; // -A
+ conforming = 0;
+ diagnose = 0;
+ convex = 1; // -c
+ zeroindex = 0;
+ facesout = 0;
+ edgesout = 0;
+ neighout = 0;
+ voroout = 0;
+ meditview = 0;
+ vtkview = 0;
+ nobound = 0;
+ nonodewritten = 0;
+ noelewritten = 0;
+ nofacewritten = 0;
+ noiterationnum = 0;
+ nomergefacet = 0;
+ nomergevertex = 0;
+ nojettison = 0;
+ reversetetori = 0;
+ docheck = 0;
+ quiet = 0;
+ verbose = 0;
+
+ vertexperblock = 4092;
+ tetrahedraperblock = 8188;
+ shellfaceperblock = 4092;
+ nobisect_param = 2;
+ addsteiner_algo = 1;
+ coarsen_param = 0;
+ weighted_param = 0;
+ fliplinklevel = -1; // No limit on linklevel.
+ flipstarsize = -1; // No limit on flip star size.
+ fliplinklevelinc = 1;
+ reflevel = 3;
+ optscheme = 7; // 1 & 2 & 4, // min_max_dihedral.
+ optlevel = 2;
+ delmaxfliplevel = 1;
+ order = 1;
+ steinerleft = -1;
+ no_sort = 0;
+ hilbert_order = 52; //-1;
+ hilbert_limit = 8;
+ brio_threshold = 64;
+ brio_ratio = 0.125;
+ facet_ang_tol = 179.9;
+ maxvolume = -1.0;
+ minratio = 2.0;
+ mindihedral = 0.0; // 5.0;
+ optmaxdihedral = 179.0;
+ optminsmtdihed = 179.999;
+ optminslidihed = 179.999;
+ epsilon = 1.0e-8;
+ minedgelength = 0.0;
+ coarsen_percent = 1.0;
+ }
+};
+
+class meshGRegionBoundaryRecovery {
+
+ public:
+
+ // Mesh data structure
+ typedef REAL **tetrahedron;
+ typedef REAL **shellface;
+ typedef REAL *point;
+
+ // Mesh handles
+ class triface {
+ public:
+ tetrahedron *tet;
+ int ver; // Range from 0 to 11.
+ triface() : tet(0), ver(0) {}
+ triface& operator=(const triface& t) {
+ tet = t.tet; ver = t.ver;
+ return *this;
+ }
+ };
+
+ class face {
+ public:
+ shellface *sh;
+ int shver; // Range from 0 to 5.
+ face() : sh(0), shver(0) {}
+ face& operator=(const face& s) {
+ sh = s.sh; shver = s.shver;
+ return *this;
+ }
+ };
+
+ // Arraypool (J. R. Shewchuk)
+ class arraypool {
+ public:
+ int objectbytes;
+ int objectsperblock;
+ int log2objectsperblock;
+ int objectsperblockmark;
+ int toparraylen;
+ char **toparray;
+ long objects;
+ unsigned long totalmemory;
+ void restart();
+ void poolinit(int sizeofobject, int log2objperblk);
+ char* getblock(int objectindex);
+ void* lookup(int objectindex);
+ int newindex(void **newptr);
+ arraypool(int sizeofobject, int log2objperblk);
+ ~arraypool();
+ };
+
+#define fastlookup(pool, index) \
+ (void *) ((pool)->toparray[(index) >> (pool)->log2objectsperblock] + \
+ ((index) & (pool)->objectsperblockmark) * (pool)->objectbytes)
+
+ // Memorypool (J. R. Shewchuk)
+ class memorypool {
+ public:
+ void **firstblock, **nowblock;
+ void *nextitem;
+ void *deaditemstack;
+ void **pathblock;
+ void *pathitem;
+ int alignbytes;
+ int itembytes, itemwords;
+ int itemsperblock;
+ long items, maxitems;
+ int unallocateditems;
+ int pathitemsleft;
+ memorypool();
+ memorypool(int, int, int, int);
+ ~memorypool();
+ void poolinit(int, int, int, int);
+ void restart();
+ void *alloc();
+ void dealloc(void*);
+ void traversalinit();
+ void *traverse();
+ };
+
+ class badface {
+ public:
+ triface tt;
+ face ss;
+ REAL key, cent[6]; // circumcenter or cos(dihedral angles) at 6 edges.
+ point forg, fdest, fapex, foppo, noppo;
+ badface *nextitem;
+ badface() : key(0), forg(0), fdest(0), fapex(0), foppo(0), noppo(0),
+ nextitem(0) {}
+ };
+
+ // Parameters for vertex insertion, flips, and optimizations.
+ class insertvertexflags {
+ public:
+ int iloc; // input/output.
+ int bowywat, lawson;
+ int splitbdflag, validflag, respectbdflag;
+ int rejflag, chkencflag, cdtflag;
+ int assignmeshsize;
+ int sloc, sbowywat;
+ // Used by Delaunay refinement.
+ int refineflag; // 0, 1, 2, 3
+ triface refinetet;
+ face refinesh;
+ int smlenflag; // for useinsertradius.
+ REAL smlen; // for useinsertradius.
+ point parentpt;
+
+ insertvertexflags() {
+ iloc = bowywat = lawson = 0;
+ splitbdflag = validflag = respectbdflag = 0;
+ rejflag = chkencflag = cdtflag = 0;
+ assignmeshsize = 0;
+ sloc = sbowywat = 0;
+
+ refineflag = 0;
+ refinetet.tet = NULL;
+ refinesh.sh = NULL;
+ smlenflag = 0;
+ smlen = 0.0;
+ }
+ };
+
+ class flipconstraints {
+ public:
+ // Elementary flip flags.
+ int enqflag; // (= flipflag)
+ int chkencflag;
+ // Control flags
+ int unflip; // Undo the performed flips.
+ int collectnewtets; // Collect the new tets created by flips.
+ int collectencsegflag;
+ // Optimization flags.
+ int remove_ndelaunay_edge; // Remove a non-Delaunay edge.
+ REAL bak_tetprism_vol; // The value to be minimized.
+ REAL tetprism_vol_sum;
+ int remove_large_angle; // Remove a large dihedral angle at edge.
+ REAL cosdihed_in; // The input cosine of the dihedral angle (> 0).
+ REAL cosdihed_out; // The improved cosine of the dihedral angle.
+ // Boundary recovery flags.
+ int checkflipeligibility;
+ point seg[2]; // A constraining edge to be recovered.
+ point fac[3]; // A constraining face to be recovered.
+ point remvert; // A vertex to be removed.
+
+ flipconstraints() {
+ enqflag = 0;
+ chkencflag = 0;
+ unflip = 0;
+ collectnewtets = 0;
+ collectencsegflag = 0;
+ remove_ndelaunay_edge = 0;
+ bak_tetprism_vol = 0.0;
+ tetprism_vol_sum = 0.0;
+ remove_large_angle = 0;
+ cosdihed_in = 0.0;
+ cosdihed_out = 0.0;
+ checkflipeligibility = 0;
+ seg[0] = NULL;
+ fac[0] = NULL;
+ remvert = NULL;
+ }
+ };
+
+ class optparameters {
+ public:
+ // The one of goals of optimization.
+ int max_min_volume; // Maximize the minimum volume.
+ int min_max_aspectratio; // Minimize the maximum aspect ratio.
+ int min_max_dihedangle; // Minimize the maximum dihedral angle.
+ // The initial and improved value.
+ REAL initval, imprval;
+ int numofsearchdirs;
+ REAL searchstep;
+ int maxiter; // Maximum smoothing iterations (disabled by -1).
+ int smthiter; // Performed iterations.
+
+ optparameters() {
+ max_min_volume = 0;
+ min_max_aspectratio = 0;
+ min_max_dihedangle = 0;
+ initval = imprval = 0.0;
+ numofsearchdirs = 10;
+ searchstep = 0.01;
+ maxiter = -1; // Unlimited smoothing iterations.
+ smthiter = 0;
+ }
+ };
+
+ // Labels
+ enum verttype {UNUSEDVERTEX, DUPLICATEDVERTEX, RIDGEVERTEX, ACUTEVERTEX,
+ FACETVERTEX, VOLVERTEX, FREESEGVERTEX, FREEFACETVERTEX,
+ FREEVOLVERTEX, NREGULARVERTEX, DEADVERTEX};
+ enum interresult {DISJOINT, INTERSECT, SHAREVERT, SHAREEDGE, SHAREFACE,
+ TOUCHEDGE, TOUCHFACE, ACROSSVERT, ACROSSEDGE, ACROSSFACE,
+ COLLISIONFACE, ACROSSSEG, ACROSSSUB};
+ enum locateresult {UNKNOWN, OUTSIDE, INTETRAHEDRON, ONFACE, ONEDGE, ONVERTEX,
+ ENCVERTEX, ENCSEGMENT, ENCSUBFACE, NEARVERTEX, NONREGULAR,
+ INSTAR, BADELEMENT};
+
+ meshGRegionInputs *in;
+ meshGRegionOptions *b;
+ meshGRegionBoundaryRecovery *bgm;
+
+ // Class variables
+ memorypool *tetrahedrons, *subfaces, *subsegs, *points;
+ memorypool *tet2subpool, *tet2segpool;
+
+ memorypool *flippool;
+ arraypool *unflipqueue;
+ badface *flipstack;
+
+ memorypool *badtetrahedrons, *badsubfacs, *badsubsegs;
+
+ // Arrays used for point insertion (the Bowyer-Watson algorithm).
+ arraypool *cavetetlist, *cavebdrylist, *caveoldtetlist;
+ arraypool *cavetetshlist, *cavetetseglist, *cavetetvertlist;
+ arraypool *caveencshlist, *caveencseglist;
+ arraypool *caveshlist, *caveshbdlist, *cavesegshlist;
+
+ // Stacks used for CDT construction and boundary recovery.
+ arraypool *subsegstack, *subfacstack, *subvertstack;
+
+ // The infinite vertex.
+ point dummypoint;
+ // The recently visited tetrahedron, subface.
+ triface recenttet;
+ face recentsh;
+
+ // PI is the ratio of a circle's circumference to its diameter.
+ static REAL PI;
+
+ // Various variables.
+ int numpointattrib;
+ int numelemattrib;
+ int sizeoftensor;
+ int pointmtrindex;
+ int pointparamindex;
+ int point2simindex;
+ int pointmarkindex;
+ int pointinsradiusindex;
+ int elemattribindex;
+ int volumeboundindex;
+ int elemmarkerindex;
+ int shmarkindex;
+ int areaboundindex;
+ int checksubsegflag;
+ int checksubfaceflag;
+ int checkconstraints;
+ int nonconvex;
+ int autofliplinklevel;
+ int useinsertradius;
+ long samples;
+ unsigned long randomseed;
+ REAL cosmaxdihed, cosmindihed;
+ REAL cossmtdihed;
+ REAL cosslidihed;
+ REAL minfaceang, minfacetdihed;
+ REAL tetprism_vol_sum;
+ REAL longest;
+ REAL xmax, xmin, ymax, ymin, zmax, zmin;
+
+ // Counters.
+ long insegments;
+ long hullsize;
+ long meshedges;
+ long meshhulledges;
+ long steinerleft;
+ long dupverts;
+ long unuverts;
+ long nonregularcount;
+ long st_segref_count, st_facref_count, st_volref_count;
+ long fillregioncount, cavitycount, cavityexpcount;
+ long flip14count, flip26count, flipn2ncount;
+ long flip23count, flip32count, flip44count, flip41count;
+ long flip31count, flip22count;
+ unsigned long totalworkmemory; // Total memory used by working arrays.
+
+ // Fast lookup tables for mesh manipulation primitives.
+ static int bondtbl[12][12], fsymtbl[12][12];
+ static int esymtbl[12], enexttbl[12], eprevtbl[12];
+ static int enextesymtbl[12], eprevesymtbl[12];
+ static int eorgoppotbl[12], edestoppotbl[12];
+ static int facepivot1[12], facepivot2[12][12];
+ static int orgpivot[12], destpivot[12], apexpivot[12], oppopivot[12];
+ static int tsbondtbl[12][6], stbondtbl[12][6];
+ static int tspivottbl[12][6], stpivottbl[12][6];
+ static int ver2edge[12], edge2ver[6], epivot[12];
+ static int sorgpivot [6], sdestpivot[6], sapexpivot[6];
+ static int snextpivot[6];
+ void inittables();
+
+ // Primitives for tetrahedra.
+ inline tetrahedron encode(triface& t);
+ inline tetrahedron encode2(tetrahedron* ptr, int ver);
+ inline void decode(tetrahedron ptr, triface& t);
+ inline void bond(triface& t1, triface& t2);
+ inline void dissolve(triface& t);
+ inline void esym(triface& t1, triface& t2);
+ inline void esymself(triface& t);
+ inline void enext(triface& t1, triface& t2);
+ inline void enextself(triface& t);
+ inline void eprev(triface& t1, triface& t2);
+ inline void eprevself(triface& t);
+ inline void enextesym(triface& t1, triface& t2);
+ inline void enextesymself(triface& t);
+ inline void eprevesym(triface& t1, triface& t2);
+ inline void eprevesymself(triface& t);
+ inline void eorgoppo(triface& t1, triface& t2);
+ inline void eorgoppoself(triface& t);
+ inline void edestoppo(triface& t1, triface& t2);
+ inline void edestoppoself(triface& t);
+ inline void fsym(triface& t1, triface& t2);
+ inline void fsymself(triface& t);
+ inline void fnext(triface& t1, triface& t2);
+ inline void fnextself(triface& t);
+ inline point org (triface& t);
+ inline point dest(triface& t);
+ inline point apex(triface& t);
+ inline point oppo(triface& t);
+ inline void setorg (triface& t, point p);
+ inline void setdest(triface& t, point p);
+ inline void setapex(triface& t, point p);
+ inline void setoppo(triface& t, point p);
+ inline REAL elemattribute(tetrahedron* ptr, int attnum);
+ inline void setelemattribute(tetrahedron* ptr, int attnum, REAL value);
+ inline REAL volumebound(tetrahedron* ptr);
+ inline void setvolumebound(tetrahedron* ptr, REAL value);
+ inline int elemindex(tetrahedron* ptr);
+ inline void setelemindex(tetrahedron* ptr, int value);
+ inline int elemmarker(tetrahedron* ptr);
+ inline void setelemmarker(tetrahedron* ptr, int value);
+ inline void infect(triface& t);
+ inline void uninfect(triface& t);
+ inline bool infected(triface& t);
+ inline void marktest(triface& t);
+ inline void unmarktest(triface& t);
+ inline bool marktested(triface& t);
+ inline void markface(triface& t);
+ inline void unmarkface(triface& t);
+ inline bool facemarked(triface& t);
+ inline void markedge(triface& t);
+ inline void unmarkedge(triface& t);
+ inline bool edgemarked(triface& t);
+ inline void marktest2(triface& t);
+ inline void unmarktest2(triface& t);
+ inline bool marktest2ed(triface& t);
+ inline int elemcounter(triface& t);
+ inline void setelemcounter(triface& t, int value);
+ inline void increaseelemcounter(triface& t);
+ inline void decreaseelemcounter(triface& t);
+ inline bool ishulltet(triface& t);
+ inline bool isdeadtet(triface& t);
+
+ // Primitives for subfaces and subsegments.
+ inline void sdecode(shellface sptr, face& s);
+ inline shellface sencode(face& s);
+ inline shellface sencode2(shellface *sh, int shver);
+ inline void spivot(face& s1, face& s2);
+ inline void spivotself(face& s);
+ inline void sbond(face& s1, face& s2);
+ inline void sbond1(face& s1, face& s2);
+ inline void sdissolve(face& s);
+ inline point sorg(face& s);
+ inline point sdest(face& s);
+ inline point sapex(face& s);
+ inline void setsorg(face& s, point pointptr);
+ inline void setsdest(face& s, point pointptr);
+ inline void setsapex(face& s, point pointptr);
+ inline void sesym(face& s1, face& s2);
+ inline void sesymself(face& s);
+ inline void senext(face& s1, face& s2);
+ inline void senextself(face& s);
+ inline void senext2(face& s1, face& s2);
+ inline void senext2self(face& s);
+ inline REAL areabound(face& s);
+ inline void setareabound(face& s, REAL value);
+ inline int shellmark(face& s);
+ inline void setshellmark(face& s, int value);
+ inline void sinfect(face& s);
+ inline void suninfect(face& s);
+ inline bool sinfected(face& s);
+ inline void smarktest(face& s);
+ inline void sunmarktest(face& s);
+ inline bool smarktested(face& s);
+ inline void smarktest2(face& s);
+ inline void sunmarktest2(face& s);
+ inline bool smarktest2ed(face& s);
+ inline void smarktest3(face& s);
+ inline void sunmarktest3(face& s);
+ inline bool smarktest3ed(face& s);
+ inline void setfacetindex(face& f, int value);
+ inline int getfacetindex(face& f);
+
+ // Primitives for interacting tetrahedra and subfaces.
+ inline void tsbond(triface& t, face& s);
+ inline void tsdissolve(triface& t);
+ inline void stdissolve(face& s);
+ inline void tspivot(triface& t, face& s);
+ inline void stpivot(face& s, triface& t);
+
+ // Primitives for interacting tetrahedra and segments.
+ inline void tssbond1(triface& t, face& seg);
+ inline void sstbond1(face& s, triface& t);
+ inline void tssdissolve1(triface& t);
+ inline void sstdissolve1(face& s);
+ inline void tsspivot1(triface& t, face& s);
+ inline void sstpivot1(face& s, triface& t);
+
+ // Primitives for interacting subfaces and segments.
+ inline void ssbond(face& s, face& edge);
+ inline void ssbond1(face& s, face& edge);
+ inline void ssdissolve(face& s);
+ inline void sspivot(face& s, face& edge);
+
+ // Primitives for points.
+ inline int pointmark(point pt);
+ inline void setpointmark(point pt, int value);
+ inline enum verttype pointtype(point pt);
+ inline void setpointtype(point pt, enum verttype value);
+ inline int pointgeomtag(point pt);
+ inline void setpointgeomtag(point pt, int value);
+ inline REAL pointgeomuv(point pt, int i);
+ inline void setpointgeomuv(point pt, int i, REAL value);
+ inline void pinfect(point pt);
+ inline void puninfect(point pt);
+ inline bool pinfected(point pt);
+ inline void pmarktest(point pt);
+ inline void punmarktest(point pt);
+ inline bool pmarktested(point pt);
+ inline void pmarktest2(point pt);
+ inline void punmarktest2(point pt);
+ inline bool pmarktest2ed(point pt);
+ inline void pmarktest3(point pt);
+ inline void punmarktest3(point pt);
+ inline bool pmarktest3ed(point pt);
+ inline tetrahedron point2tet(point pt);
+ inline void setpoint2tet(point pt, tetrahedron value);
+ inline shellface point2sh(point pt);
+ inline void setpoint2sh(point pt, shellface value);
+ inline point point2ppt(point pt);
+ inline void setpoint2ppt(point pt, point value);
+ inline tetrahedron point2bgmtet(point pt);
+ inline void setpoint2bgmtet(point pt, tetrahedron value);
+ inline void setpointinsradius(point pt, REAL value);
+ inline REAL getpointinsradius(point pt);
+ inline bool issteinerpoint(point pt);
+
+ // Advanced primitives.
+ inline void point2tetorg(point pt, triface& t);
+ inline void point2shorg(point pa, face& s);
+ inline point farsorg(face& seg);
+ inline point farsdest(face& seg);
+
+ // Memory managment
+ void tetrahedrondealloc(tetrahedron*);
+ tetrahedron *tetrahedrontraverse();
+ tetrahedron *alltetrahedrontraverse();
+ void shellfacedealloc(memorypool*, shellface*);
+ shellface *shellfacetraverse(memorypool*);
+ void pointdealloc(point);
+ point pointtraverse();
+
+ void makeindex2pointmap(point*&);
+ void makepoint2submap(memorypool*, int*&, face*&);
+ void maketetrahedron(triface*);
+ void makeshellface(memorypool*, face*);
+ void makepoint(point*, enum verttype);
+
+ void initializepools();
+
+ // Symbolic perturbations (robust)
+ REAL insphere_s(REAL*, REAL*, REAL*, REAL*, REAL*);
+
+ // Triangle-edge intersection test (robust)
+ int tri_edge_2d(point, point, point, point, point, point, int, int*, int*);
+ int tri_edge_tail(point, point, point, point, point, point, REAL, REAL, int,
+ int*, int*);
+ int tri_edge_test(point, point, point, point, point, point, int, int*, int*);
+
+ // Linear algebra functions
+ inline REAL dot(REAL* v1, REAL* v2);
+ inline void cross(REAL* v1, REAL* v2, REAL* n);
+ bool lu_decmp(REAL lu[4][4], int n, int* ps, REAL* d, int N);
+ void lu_solve(REAL lu[4][4], int n, int* ps, REAL* b, int N);
+
+ // Geometric calculations (non-robust)
+ REAL orient3dfast(REAL *pa, REAL *pb, REAL *pc, REAL *pd);
+ inline REAL norm2(REAL x, REAL y, REAL z);
+ inline REAL distance(REAL* p1, REAL* p2);
+ REAL incircle3d(point pa, point pb, point pc, point pd);
+ void facenormal(point pa, point pb, point pc, REAL *n, int pivot, REAL *lav);
+ bool tetalldihedral(point, point, point, point, REAL*, REAL*, REAL*);
+ void tetallnormal(point, point, point, point, REAL N[4][3], REAL* volume);
+ REAL tetaspectratio(point, point, point, point);
+ bool circumsphere(REAL*, REAL*, REAL*, REAL*, REAL* cent, REAL* radius);
+ void planelineint(REAL*, REAL*, REAL*, REAL*, REAL*, REAL*, REAL*);
+ int linelineint(REAL*, REAL*, REAL*, REAL*, REAL*, REAL*, REAL*, REAL*);
+ REAL tetprismvol(REAL* pa, REAL* pb, REAL* pc, REAL* pd);
+ void calculateabovepoint4(point, point, point, point);
+
+ // The elementary flips.
+ void flip23(triface*, int, flipconstraints* fc);
+ void flip32(triface*, int, flipconstraints* fc);
+ void flip41(triface*, int, flipconstraints* fc);
+ // A generalized edge flip.
+ int flipnm(triface*, int n, int level, int, flipconstraints* fc);
+ int flipnm_post(triface*, int n, int nn, int, flipconstraints* fc);
+ // Point insertion.
+ int insertpoint(point, triface*, face*, face*, insertvertexflags*);
+ void insertpoint_abort(face*, insertvertexflags*);
+
+ // Point sorting.
+ int transgc[8][3][8], tsb1mod3[8];
+ void hilbert_init(int n);
+ int hilbert_split(point* vertexarray, int arraysize, int gc0, int gc1,
+ REAL, REAL, REAL, REAL, REAL, REAL);
+ void hilbert_sort3(point* vertexarray, int arraysize, int e, int d,
+ REAL, REAL, REAL, REAL, REAL, REAL, int depth);
+ void brio_multiscale_sort(point*,int,int threshold,REAL ratio,int* depth);
+
+ // Point location.
+ unsigned long randomnation(unsigned int choices);
+ void randomsample(point searchpt, triface *searchtet);
+ enum locateresult locate(point searchpt, triface *searchtet);
+
+ // Incremental flips.
+ void flippush(badface*&, triface*);
+ int incrementalflip(point newpt, int, flipconstraints *fc);
+
+ // Incremental Delaunay construction.
+ void initialdelaunay(point pa, point pb, point pc, point pd);
+ void incrementaldelaunay(clock_t&);
+
+ // Surface meshing.
+ void flipshpush(face*);
+ void flip22(face*, int, int);
+ void flip31(face*, int);
+ long lawsonflip();
+ int sinsertvertex(point newpt, face*, face*, int iloc, int bowywat, int);
+ int sremovevertex(point delpt, face*, face*, int lawson);
+ enum locateresult slocate(point, face*, int, int, int);
+
+ // Boundary recovery
+ enum interresult finddirection(triface* searchtet, point endpt);
+ int checkflipeligibility(int fliptype, point, point, point, point, point,
+ int level, int edgepivot, flipconstraints* fc);
+
+ int removeedgebyflips(triface*, flipconstraints*);
+ int removefacebyflips(triface*, flipconstraints*);
+ int recoveredgebyflips(point, point, triface*, int fullsearch);
+ int add_steinerpt_in_schoenhardtpoly(triface*, int, int chkencflag);
+ int add_steinerpt_in_segment(face*, int searchlevel);
+ int addsteiner4recoversegment(face*, int);
+ int recoversegments(arraypool*, int fullsearch, int steinerflag);
+ int recoverfacebyflips(point, point, point, face*, triface*);
+ int recoversubfaces(arraypool*, int steinerflag);
+ int getvertexstar(int, point searchpt, arraypool*, arraypool*, arraypool*);
+ int getedge(point, point, triface*);
+ int reduceedgesatvertex(point startpt, arraypool* endptlist);
+ int removevertexbyflips(point steinerpt);
+ int suppressbdrysteinerpoint(point steinerpt);
+ int suppresssteinerpoints();
+ void recoverboundary(clock_t&);
+
+ // Mesh reconstruct
+ void carveholes();
+
+ // Mesh optimize
+ long lawsonflip3d(flipconstraints *fc);
+ void recoverdelaunay();
+ int gettetrahedron(point, point, point, point, triface *);
+ long improvequalitybyflips();
+ int smoothpoint(point smtpt, arraypool*, int ccw, optparameters *opm);
+ long improvequalitybysmoothing(optparameters *opm);
+ int splitsliver(triface *, REAL, int);
+ long removeslivers(int);
+ void optimizemesh();
+
+ // Constructor & desctructor.
+ meshGRegionBoundaryRecovery()
+ {
+ in = new meshGRegionInputs();
+ b = new meshGRegionOptions();
+ bgm = NULL;
+
+ tetrahedrons = subfaces = subsegs = points = NULL;
+ badtetrahedrons = badsubfacs = badsubsegs = NULL;
+ tet2segpool = tet2subpool = NULL;
+ flippool = NULL;
+
+ dummypoint = NULL;
+ flipstack = NULL;
+ unflipqueue = NULL;
+
+ cavetetlist = cavebdrylist = caveoldtetlist = NULL;
+ cavetetshlist = cavetetseglist = cavetetvertlist = NULL;
+ caveencshlist = caveencseglist = NULL;
+ caveshlist = caveshbdlist = cavesegshlist = NULL;
+
+ subsegstack = subfacstack = subvertstack = NULL;
+
+ numpointattrib = numelemattrib = 0;
+ sizeoftensor = 0;
+ pointmtrindex = 0;
+ pointparamindex = 0;
+ pointmarkindex = 0;
+ point2simindex = 0;
+ pointinsradiusindex = 0;
+ elemattribindex = 0;
+ volumeboundindex = 0;
+ shmarkindex = 0;
+ areaboundindex = 0;
+ checksubsegflag = 0;
+ checksubfaceflag = 0;
+ checkconstraints = 0;
+ nonconvex = 0;
+ autofliplinklevel = 1;
+ useinsertradius = 0;
+ samples = 0l;
+ randomseed = 1l;
+ minfaceang = minfacetdihed = PI;
+ tetprism_vol_sum = 0.0;
+ longest = 0.0;
+ xmax = xmin = ymax = ymin = zmax = zmin = 0.0;
+
+ insegments = 0l;
+ hullsize = 0l;
+ meshedges = meshhulledges = 0l;
+ steinerleft = -1;
+ dupverts = 0l;
+ unuverts = 0l;
+ nonregularcount = 0l;
+ st_segref_count = st_facref_count = st_volref_count = 0l;
+ fillregioncount = cavitycount = cavityexpcount = 0l;
+ flip14count = flip26count = flipn2ncount = 0l;
+ flip23count = flip32count = flip44count = flip41count = 0l;
+ flip22count = flip31count = 0l;
+ totalworkmemory = 0l;
+ }
+
+ ~meshGRegionBoundaryRecovery()
+ {
+ delete in;
+ delete b;
+
+ if (points != (memorypool *) NULL) {
+ delete points;
+ delete [] dummypoint;
+ }
+
+ if (tetrahedrons != (memorypool *) NULL) {
+ delete tetrahedrons;
+ }
+
+ if (subfaces != (memorypool *) NULL) {
+ delete subfaces;
+ delete subsegs;
+ }
+
+ if (tet2segpool != NULL) {
+ delete tet2segpool;
+ delete tet2subpool;
+ }
+
+ if (flippool != NULL) {
+ delete flippool;
+ delete unflipqueue;
+ }
+
+ if (cavetetlist != NULL) {
+ delete cavetetlist;
+ delete cavebdrylist;
+ delete caveoldtetlist;
+ delete cavetetvertlist;
+ }
+
+ if (caveshlist != NULL) {
+ delete caveshlist;
+ delete caveshbdlist;
+ delete cavesegshlist;
+ delete cavetetshlist;
+ delete cavetetseglist;
+ delete caveencshlist;
+ delete caveencseglist;
+ }
+
+ if (subsegstack != NULL) {
+ delete subsegstack;
+ delete subfacstack;
+ delete subvertstack;
+ }
+ }
+
+ // Debug functions
+ void outsurfacemesh(const char* mfilename);
+ void outmesh2medit(const char* mfilename);
+
+ void unifysubfaces(face *f1, face *f2);
+ void unifysegments();
+ void jettisonnodes();
+ void reconstructmesh(GRegion *_gr);
+};
+
+void terminateBoundaryRecovery(void *, int exitcode);
+
+#endif
diff --git a/Mesh/meshGRegionDelaunayInsertion.cpp b/Mesh/meshGRegionDelaunayInsertion.cpp
index a703a1587922ae603f892b7cb8dbf35c9e46fe8f..e43fb4fd26cc54773f3a5fb739f9deeff1026df6 100644
--- a/Mesh/meshGRegionDelaunayInsertion.cpp
+++ b/Mesh/meshGRegionDelaunayInsertion.cpp
@@ -1593,21 +1593,6 @@ void bowyerWatsonFrontalLayers(GRegion *gr, bool hex)
///// do a 3D delaunay mesh assuming a set of vertices
-// void insertVerticesInRegion (GRegion *gr)
-// {
-// // compute edges that should not be
-// std::set<MEdge,Less_Edge> bnd;
-// std::list<GFace*> f_list = gr->faces();
-// for (std::list<GFace*>::iterator it = f_list.begin(); it != f_list.end(); ++it){
-// GFace *gf = *it;
-// for (i = 0;i< gf->triangles.size(); i++) {
-// for (j = 0; j < 3; j++) {
-// bnd.insert(gf->triangles[i]->getEdge(j));
-// }
-// }
-// }
-// }
-
void delaunayMeshIn3D(std::vector<MVertex*> &v, std::vector<MTetrahedron*> &result, bool removeBox) {
double t1 = Cpu();
delaunayTriangulation (1, 1, v, result);
diff --git a/Mesh/meshPartition.cpp b/Mesh/meshPartition.cpp
index bdb33df6fb0d4fba956e9d5a4b44016e31f443f4..d925702df251fa76d51b91eb092e2082ee0339d0 100644
--- a/Mesh/meshPartition.cpp
+++ b/Mesh/meshPartition.cpp
@@ -262,8 +262,9 @@ int RenumberMesh(GModel *const model, meshPartitionOptions &options)
temp.insert(temp.begin(),(*it)->hexahedra.begin(),(*it)->hexahedra.end());
RenumberMeshElements(temp, options);
(*it)->hexahedra.clear();
- for (unsigned int i = 0; i < temp.size(); i++)
+ for (unsigned int i = 0; i < temp.size(); i++){
(*it)->hexahedra.push_back((MHexahedron*)temp[i]);
+ }
}
return 1;
}
diff --git a/Numeric/GaussQuadraturePyr.cpp b/Numeric/GaussQuadraturePyr.cpp
index 91cd1b3982ab429587354afe2bf42e3450fe475b..2bb6c40fe041dba36baf7b8365b689af8137791a 100644
--- a/Numeric/GaussQuadraturePyr.cpp
+++ b/Numeric/GaussQuadraturePyr.cpp
@@ -61,7 +61,7 @@ IntPt *getGQPyrPts(int order)
GQPyr[index][l].pt[2] = 0.5*(1+wp);
wt *= 0.125;
- GQPyr[index][l++].weight = wt;
+ GQPyr[index][l++].weight = wt *4./3.;
}
diff --git a/Numeric/robustPredicates.cpp b/Numeric/robustPredicates.cpp
index dbf750bf557f6c4fbef09be1c377cef542d169cf..e2441a484b033174a313f3f0692aabd61a429d05 100644
--- a/Numeric/robustPredicates.cpp
+++ b/Numeric/robustPredicates.cpp
@@ -376,6 +376,18 @@ static REAL o3derrboundA, o3derrboundB, o3derrboundC;
static REAL iccerrboundA, iccerrboundB, iccerrboundC;
static REAL isperrboundA, isperrboundB, isperrboundC;
+// Options to choose types of geometric computtaions.
+// Added by H. Si, 2012-08-23.
+static int _use_inexact_arith; // -X option.
+static int _use_static_filter; // Default option, disable it by -X1
+
+// Static filters for orient3d() and insphere().
+// They are pre-calcualted and set in exactinit().
+// Added by H. Si, 2012-08-23.
+static REAL o3dstaticfilter;
+static REAL ispstaticfilter;
+
+
/*****************************************************************************/
/* */
/* doubleprint() Print the bit representation of a double. */
@@ -661,7 +673,7 @@ float uniformfloatrand()
/* */
/*****************************************************************************/
-REAL exactinit()
+REAL exactinit(int filter, REAL maxx, REAL maxy, REAL maxz)
{
REAL half;
REAL check, lastcheck;
@@ -723,6 +735,23 @@ REAL exactinit()
isperrboundB = (5.0 + 72.0 * epsilon) * epsilon;
isperrboundC = (71.0 + 1408.0 * epsilon) * epsilon * epsilon;
+
+ _use_inexact_arith = 0;
+ _use_static_filter = filter;
+
+ // Sort maxx < maxy < maxz. Re-use 'half' for swapping.
+ if (maxx > maxz) {
+ half = maxx; maxx = maxz; maxz = half;
+ }
+ if (maxy > maxz) {
+ half = maxy; maxy = maxz; maxz = half;
+ }
+ else if (maxy < maxx) {
+ half = maxy; maxy = maxx; maxx = half;
+ }
+ o3dstaticfilter = 5.1107127829973299e-15 * maxx * maxy * maxz;
+ ispstaticfilter = 1.2466136531027298e-13 * maxx * maxy * maxz * (maxz * maxz);
+
return epsilon; /* Added by H. Si 30 Juli, 2004. */
}
@@ -2319,6 +2348,12 @@ REAL orient3d(REAL *pa, REAL *pb, REAL *pc, REAL *pd)
+ bdz * (cdxady - adxcdy)
+ cdz * (adxbdy - bdxady);
+ if (_use_static_filter) {
+ if (det > o3dstaticfilter) return det;
+ if (det < -o3dstaticfilter) return det;
+ }
+
+
permanent = (Absolute(bdxcdy) + Absolute(cdxbdy)) * Absolute(adz)
+ (Absolute(cdxady) + Absolute(adxcdy)) * Absolute(bdz)
+ (Absolute(adxbdy) + Absolute(bdxady)) * Absolute(cdz);
@@ -4161,6 +4196,7 @@ REAL insphere(REAL *pa, REAL *pb, REAL *pc, REAL *pd, REAL *pe)
}
#else
+
REAL insphere(REAL *pa, REAL *pb, REAL *pc, REAL *pd, REAL *pe)
{
REAL aex, bex, cex, dex;
@@ -4223,6 +4259,10 @@ REAL insphere(REAL *pa, REAL *pb, REAL *pc, REAL *pd, REAL *pe)
det = (dlift * abc - clift * dab) + (blift * cda - alift * bcd);
+ if (_use_static_filter) {
+ if (fabs(det) > ispstaticfilter) return det;
+ }
+
aezplus = Absolute(aez);
bezplus = Absolute(bez);
cezplus = Absolute(cez);
diff --git a/Numeric/robustPredicates.h b/Numeric/robustPredicates.h
index dbee6f9b191cc62d95c6b3596dd73dc2fce57bdb..258ddc9d6e4b805ba492b6614c7512443f489a93 100644
--- a/Numeric/robustPredicates.h
+++ b/Numeric/robustPredicates.h
@@ -8,11 +8,11 @@
// namespace necessary to avoid conflicts with predicates used by Tetgen
namespace robustPredicates{
-double exactinit();
-double incircle(double *pa, double *pb, double *pc, double *pd);
-double insphere(double *pa, double *pb, double *pc, double *pd, double *pe);
-double orient2d(double *pa, double *pb, double *pc);
-double orient3d(double *pa, double *pb, double *pc, double *pd);
+ double exactinit(int filter, double maxx, double maxy, double maxz);
+ double incircle(double *pa, double *pb, double *pc, double *pd);
+ double insphere(double *pa, double *pb, double *pc, double *pd, double *pe);
+ double orient2d(double *pa, double *pb, double *pc);
+ double orient3d(double *pa, double *pb, double *pc, double *pd);
}
#endif
diff --git a/Solver/linearSystemCSR.cpp b/Solver/linearSystemCSR.cpp
index dbf21e038c0831046df16b1ab97598aabba75ece..c6a1ec7d4a472a68a4affccc78b861a7e5cc01ab 100644
--- a/Solver/linearSystemCSR.cpp
+++ b/Solver/linearSystemCSR.cpp
@@ -475,7 +475,6 @@ extern "C" {
}
template class linearSystemCSRTaucs<double>;
-template class linearSystemCSRTaucs<std::complex<double> >;
template<>
int linearSystemCSRTaucs<double>::systemSolve()
@@ -516,6 +515,8 @@ int linearSystemCSRTaucs<double>::systemSolve()
}
return 1;
}
+#if 0
+template class linearSystemCSRTaucs<std::complex<double> >;
template<>
int linearSystemCSRTaucs<std::complex<double> >::systemSolve()
@@ -557,3 +558,4 @@ int linearSystemCSRTaucs<std::complex<double> >::systemSolve()
}
#endif
+#endif
diff --git a/benchmarks/2d/Square-01.geo b/benchmarks/2d/Square-01.geo
index 0f920b62390175316aa58592b9834ad5d8efe247..e4bcca13d8a7c78df52d3a7f28a409b16de64110 100644
--- a/benchmarks/2d/Square-01.geo
+++ b/benchmarks/2d/Square-01.geo
@@ -1,9 +1,9 @@
-fact = 100;
-lc = .1 * fact;
-Point(1) = {0.0,0.0,0,lc*2.5e-5};
-Point(2) = {1* fact,0.0,0,lc*1};
+fact = 1;
+lc = .03 * fact;
+Point(1) = {0.0,0.0,0,lc/30};
+Point(2) = {1* fact,0.0,0,lc};
Point(3) = {1* fact,1* fact,0,lc};
-Point(4) = {0,1* fact,0,lc*1};
+Point(4) = {0,1* fact,0,lc};
Line(1) = {3,2};
Line(2) = {2,1};
Line(3) = {1,4};
@@ -11,3 +11,4 @@ Line(4) = {4,3};
Line Loop(5) = {1,2,3,4};
Plane Surface(6) = {5};
//Recombine Surface {6};
+//Recombine Surface {6};
diff --git a/benchmarks/2d/embedded_recombine.geo b/benchmarks/2d/embedded_recombine.geo
index be390fab8f5a930c352d8585bec54ccbc75370be..c1ba57e0a8a1f199d0f0fa03deeecb44bf886b49 100644
--- a/benchmarks/2d/embedded_recombine.geo
+++ b/benchmarks/2d/embedded_recombine.geo
@@ -1,5 +1,5 @@
// Options
-Mesh.SubdivisionAlgorithm = 1;
+//Mesh.SubdivisionAlgorithm = 1;
Mesh.MshFileVersion = 1;
// Variables
@@ -19,7 +19,9 @@ l1 = newl; Line(l1) = {p1, p2} ;
l2 = newl; Line(l2) = {p2, p3} ;
l3 = newl; Line(l3) = {p3, p4} ;
l4 = newl; Line(l4) = {p4, p1} ;
-l5 = newl; Line(l5) = {p6, p7} ;
+l5 = newl; Line(l5) = {p1, p7} ;
+l6 = newl; Line(l6) = {p1, p6} ;
+l7 = newl; Line(l7) = {p7, p6} ;
// Surface Dalle
ll1 = newll; Line Loop (ll1) = {l1, l2, l3, l4} ;
@@ -35,7 +37,7 @@ Transfinite Line {l5} = 1 + 1.3 / ch_length ;
*/
Point{p5} In Surface{s1} ;
-Line{l5} In Surface{s1} ;
+Line{l5,l6,l7} In Surface{s1} ;
// Transformation des triangles en quadrangles
-Recombine Surface {s1} ;
+//Recombine Surface {s1} ;
diff --git a/benchmarks/3d/Cube-01.geo b/benchmarks/3d/Cube-01.geo
index 7e32681db1a468dbb06f48a8913f4668c3d5a4de..7540862ed303238e4869226d5fb5b3cf38dffaa1 100644
--- a/benchmarks/3d/Cube-01.geo
+++ b/benchmarks/3d/Cube-01.geo
@@ -1,13 +1,13 @@
-Mesh.Algorithm3D = 9;
-Mesh.Algorithm = 9;
-Mesh.Recombine3DAll = 1;
+//Mesh.Algorithm3D = 9;
+//Mesh.Algorithm = 9;
+//Mesh.Recombine3DAll = 1;
Mesh.Smoothing=1;
//Mesh.Dual = 1;
//Mesh.Voronoi=1;
-lc = 0.16;
-Point(1) = {0.0,0.0,0.0,lc/2};
-Point(2) = {1,0.0,0.0,lc};
+lc = 0.1;
+Point(1) = {0.0,0.0,0.0,lc/1};
+Point(2) = {1,0.0,0.0,lc/1};
Point(3) = {1,1,0.0,lc};
Point(4) = {0,1,0.0,lc};
Line(1) = {4,3};
@@ -17,3 +17,4 @@ Line(4) = {1,4};
Line Loop(5) = {2,3,4,1};
Plane Surface(6) = {5};
Extrude Surface { 6, {0,0.0,1} };
+//Characteristic Length {10} = lc/100;
diff --git a/benchmarks/3d/coin.geo b/benchmarks/3d/coin.geo
index ba4c91c060fe64d95d21f90590ca0181ab0d2b9e..0e11252b3bc776165ea7a1a88667bad118d93134 100644
--- a/benchmarks/3d/coin.geo
+++ b/benchmarks/3d/coin.geo
@@ -14,7 +14,7 @@
0.085 261542 1568048 1285.29
*/
lcar1 = .2;
-lcar2 = .2;
+lcar2 = .02;
Point(newp) = {0.5,0.5,0.5,lcar2}; /* Point 1 */
Point(newp) = {0.5,0.5,0,lcar1}; /* Point 2 */
diff --git a/benchmarks/3d/hex.geo b/benchmarks/3d/hex.geo
index 3318df7eb075381ab4029e94867443b7ca68f868..720b8ab79f4e6043cf793912c413fef9a6d3992a 100644
--- a/benchmarks/3d/hex.geo
+++ b/benchmarks/3d/hex.geo
@@ -1,9 +1,10 @@
+Mesh.CharacteristicLengthExtendFromBoundary = 0;
lc = 0.3;
// example of a purely hexahedral mesh using only transfinite
// mesh constraints
-z=0.6;
-deform=0.4;
+z=1;
+deform=0.0;
Point(1) = {-2-deform,0,0,lc};
Point(2) = {-1,0,0,lc};
@@ -39,18 +40,9 @@ Line Loop(24) = {6,-12,3,10};
Ruled Surface(25) = {24};
Surface Loop(1) = {17,-25,-23,-21,19,15};
Volume(1) = {1};
-Transfinite Line{1:4,6:9} = 5 Using Progression 1.4;
+Transfinite Line{1:4,6:9} = 10;
Transfinite Line{10:13} = 10;
-/*
-Transfinite Surface {15} = {1,2,3,4};
-Transfinite Surface {17} = {5,6,7,8};
-Transfinite Surface {19} = {1,5,8,4};
-Transfinite Surface {21} = {8,7,3,4};
-Transfinite Surface {23} = {6,7,3,2};
-Transfinite Surface {25} = {5,6,2,1};
-*/
-
Transfinite Surface {15} = {1,2,3,4};
@@ -61,6 +53,6 @@ Transfinite Surface {23} = {6,7,3,2};
Transfinite Surface {25} = {5,6,2,1};
-Transfinite Volume{1} = {1,2,3,4,5,6,7,8};
+//Transfinite Volume{1} = {1,2,3,4,5,6,7,8};
Recombine Surface{15:25:2};
diff --git a/benchmarks/extrude/hybrid.geo b/benchmarks/extrude/hybrid.geo
index 4202a4a2dbb0ef52d85703a17616846b9eb5d1e6..f4a44dafd9ca881964dce9acf46646c19ee803c4 100644
--- a/benchmarks/extrude/hybrid.geo
+++ b/benchmarks/extrude/hybrid.geo
@@ -22,6 +22,7 @@ Extrude Surface {6, {0,0.0,2}} ;
Extrude Surface {45, {0,2,0.0}}
{
+ Recombine;
Layers {{2,2,2}, {.3,.6,1.}};
} ;
Coherence;
diff --git a/benchmarks/python/square.geo b/benchmarks/python/square.geo
index d37b77371d77af8bc04191e3b5e940947c541bb7..f3050fb2548065f88789884592b0ed4ba884daa7 100644
--- a/benchmarks/python/square.geo
+++ b/benchmarks/python/square.geo
@@ -1,12 +1,30 @@
-fact = 1;
-lc = .01 * fact;
-Point(1) = {0.0,0.0,0,lc};
-Point(2) = {1* fact,0.0,0,lc};
-Point(3) = {1* fact,1* fact,0,lc};
-Point(4) = {0,1* fact,0,lc};
-Line(1) = {3,2};
-Line(2) = {2,1};
-Line(3) = {1,4};
-Line(4) = {4,3};
-Line Loop(5) = {1,2,3,4};
-Plane Surface(6) = {5};
+lc=1000;
+Point(1) = {0, 0, 0,lc*.1};
+Point(2) = {0, 10, 0,lc};
+Point(3) = {10, 10, 0,lc};
+Point(4) = {10, 0, 0,lc};
+Line(1) = {2, 3};
+Line(2) = {3, 4};
+Line(3) = {4, 1};
+Line(4) = {1, 2};
+
+Line Loop(5) = {1, 2, 3, 4};
+Plane Surface(10) = {5};
+
+Physical Line("wall")={1,2,3,4};
+Physical Surface("air")={10};
+
+//----------------------
+
+//Compound Line(10)={1,2,3,4};
+//Compound Surface(100)={10};
+
+//Line {1,2,3,4} In Surface{100};
+
+//Physical Surface(100)={10};
+//Physical Line(200)={1,2,3,4};
+
+
+
+
+//Recombine Surface {10};
diff --git a/benchmarks/python/square.msh b/benchmarks/python/square.msh
index 3fb8b9489c579a72b99e393c0fde055d5f2dd324..34922caf27fa1d12a44daae9a78d978a73cfffaf 100644
--- a/benchmarks/python/square.msh
+++ b/benchmarks/python/square.msh
@@ -1,34574 +1,339 @@
$MeshFormat
2.2 0 8
$EndMeshFormat
+$PhysicalNames
+2
+1 1 "wall"
+2 2 "air"
+$EndPhysicalNames
$Nodes
-11521
+109
1 0 0 0
-2 1 0 0
-3 1 1 0
-4 0 1 0
-5 1 0.9898989898989479 0
-6 1 0.9797979797978956 0
-7 1 0.9696969696968435 0
-8 1 0.9595959595957912 0
-9 1 0.9494949494947391 0
-10 1 0.939393939393687 0
-11 1 0.9292929292926349 0
-12 1 0.9191919191915826 0
-13 1 0.9090909090905305 0
-14 1 0.8989898989894782 0
-15 1 0.8888888888884261 0
-16 1 0.8787878787873851 0
-17 1 0.868686868686396 0
-18 1 0.8585858585854518 0
-19 1 0.8484848484845118 0
-20 1 0.8383838383835718 0
-21 1 0.8282828282826318 0
-22 1 0.8181818181816918 0
-23 1 0.8080808080807518 0
-24 1 0.7979797979798118 0
-25 1 0.7878787878788717 0
-26 1 0.7777777777779317 0
-27 1 0.7676767676769917 0
-28 1 0.7575757575760517 0
-29 1 0.7474747474751117 0
-30 1 0.7373737373741717 0
-31 1 0.7272727272732317 0
-32 1 0.7171717171722916 0
-33 1 0.7070707070713516 0
-34 1 0.6969696969704116 0
-35 1 0.6868686868694716 0
-36 1 0.6767676767685316 0
-37 1 0.6666666666675916 0
-38 1 0.6565656565666514 0
-39 1 0.6464646464657113 0
-40 1 0.6363636363647713 0
-41 1 0.6262626262638313 0
-42 1 0.6161616161628912 0
-43 1 0.6060606060619511 0
-44 1 0.5959595959610111 0
-45 1 0.585858585860071 0
-46 1 0.5757575757591309 0
-47 1 0.5656565656581909 0
-48 1 0.5555555555572509 0
-49 1 0.5454545454563108 0
-50 1 0.5353535353553708 0
-51 1 0.5252525252544307 0
-52 1 0.5151515151534907 0
-53 1 0.5050505050525429 0
-54 1 0.4949494949515468 0
-55 1 0.4848484848505024 0
-56 1 0.4747474747494502 0
-57 1 0.4646464646483981 0
-58 1 0.454545454547346 0
-59 1 0.4444444444462938 0
-60 1 0.4343434343452417 0
-61 1 0.4242424242441896 0
-62 1 0.4141414141431374 0
-63 1 0.4040404040420853 0
-64 1 0.3939393939410332 0
-65 1 0.383838383839981 0
-66 1 0.3737373737389289 0
-67 1 0.3636363636378768 0
-68 1 0.3535353535368246 0
-69 1 0.3434343434357724 0
-70 1 0.3333333333347204 0
-71 1 0.3232323232336681 0
-72 1 0.3131313131326161 0
-73 1 0.3030303030315639 0
-74 1 0.2929292929305118 0
-75 1 0.2828282828294596 0
-76 1 0.2727272727284076 0
-77 1 0.2626262626273553 0
-78 1 0.2525252525263033 0
-79 1 0.2424242424252511 0
-80 1 0.232323232324199 0
-81 1 0.2222222222231469 0
-82 1 0.2121212121220948 0
-83 1 0.2020202020210426 0
-84 1 0.1919191919199905 0
-85 1 0.1818181818189384 0
-86 1 0.1717171717178861 0
-87 1 0.1616161616168341 0
-88 1 0.1515151515157819 0
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$EndElements
diff --git a/wrappers/gmshpy/gmshGeo.i b/wrappers/gmshpy/gmshGeo.i
index d195c204bf5a99ef5a1ff26ff2c77405bf632713..0266507840572b229f429ca18201bc70c0123cc1 100644
--- a/wrappers/gmshpy/gmshGeo.i
+++ b/wrappers/gmshpy/gmshGeo.i
@@ -19,6 +19,7 @@
#include "GFace.h"
#include "GFaceCompound.h"
#include "GRegion.h"
+ #include "discreteDiskFace.h"
#include "discreteFace.h"
#include "discreteEdge.h"
#include "discreteRegion.h"
@@ -113,6 +114,7 @@ namespace std {
%include "GFace.h"
%include "GFaceCompound.h"
%include "GRegion.h"
+%include "discreteDiskFace.h"
%include "discreteFace.h"
%include "discreteEdge.h"
%include "discreteVertex.h"