int CompareShapeFunctions(TPZCompElSide celsideA, TPZCompElSide celsideB)
{
TPZGeoElSide gelsideA = celsideA.Reference();
TPZGeoElSide gelsideB = celsideB.Reference();
int sideA = gelsideA.Side();
int sideB = gelsideB.Side();
TPZCompEl *celA = celsideA.Element();
TPZCompEl *celB = celsideB.Element(); TPZMultiphysicsElement *MFcelA = dynamic_cast<TPZMultiphysicsElement *>(celA);
TPZMultiphysicsElement *MFcelB = dynamic_cast<TPZMultiphysicsElement *>(celB);
TPZInterpolatedElement *interA = dynamic_cast<TPZInterpolatedElement *>(MFcelA->Element(0));
TPZInterpolatedElement *interB = dynamic_cast<TPZInterpolatedElement *>(MFcelB->Element(0));
TPZMaterialData dataA;
TPZMaterialData dataB;
interA->InitMaterialData(dataA);
interB->InitMaterialData(dataB);
TPZTransform<> tr = gelsideA.NeighbourSideTransform(gelsideB);
TPZGeoEl *gelA = gelsideA.Element();
TPZTransform<> trA = gelA->SideToSideTransform(gelsideA.Side(), gelA->NSides()-1);
TPZGeoEl *gelB = gelsideB.Element();
TPZTransform<> trB = gelB->SideToSideTransform(gelsideB.Side(), gelB->NSides()-1);
int dimensionA = gelA->Dimension();
int dimensionB = gelB->Dimension();
int nSideshapeA = interA->NSideShapeF(sideA);
int nSideshapeB = interB->NSideShapeF(sideB);
int is;
int firstShapeA = 0;
int firstShapeB = 0;
for (is=0; is<sideA; is++) {
firstShapeA += interA->NSideShapeF(is);
}
for (is=0; is<sideB; is++) {
firstShapeB += interB->NSideShapeF(is);
}
TPZIntPoints *intrule = gelA->CreateSideIntegrationRule(gelsideA.Side(), 4);
int nwrong = 0;
int npoints = intrule->NPoints();
int ip;
for (ip=0; ip<npoints; ip++) {
TPZManVector<REAL,3> pointA(gelsideA.Dimension()),pointB(gelsideB.Dimension()), pointElA(gelA->Dimension()),pointElB(gelB->Dimension());
REAL weight;
intrule->Point(ip, pointA, weight);
int sidedim = gelsideA.Dimension();
TPZFNMatrix<9> jacobian(sidedim,sidedim),jacinv(sidedim,sidedim),axes(sidedim,3);
REAL detjac;
gelsideA.Jacobian(pointA, jacobian, jacinv, detjac, jacinv);
TPZManVector<REAL,3> normal(3,0.), xA(3),xB(3);
normal[0] = axes(0,1);
normal[1] = -axes(0,0);
tr.Apply(pointA, pointB);
trA.Apply(pointA, pointElA);
trB.Apply(pointB, pointElB);
gelsideA.Element()->X(pointElA, xA);
gelsideB.Element()->X(pointElB, xB);
for (int i=0; i<3; i++) {
if(fabs(xA[i]- xB[i])> 1.e-6) DebugStop();
}
int nshapeA = 0, nshapeB = 0;
interA->ComputeRequiredData(dataA, pointElA);
interB->ComputeRequiredData(dataB, pointElB);
nshapeA = dataA.phi.Rows();
nshapeB = dataB.phi.Rows();
if(nSideshapeA != nSideshapeB) DebugStop();
TPZManVector<REAL> shapesA(nSideshapeA), shapesB(nSideshapeB);
int nwrongkeep(nwrong);
int i,j;
for(i=firstShapeA,j=firstShapeB; i<firstShapeA+nSideshapeA; i++,j++)
{
int Ashapeind = i;
int Bshapeind = j;
int Avecind = -1;
int Bvecind = -1;
// if A or B are boundary elements, their shapefunctions come in the right order
if (dimensionA != sidedim) {
Ashapeind = dataA.fVecShapeIndex[i].second;
Avecind = dataA.fVecShapeIndex[i].first;
}
if (dimensionB != sidedim) {
Bshapeind = dataB.fVecShapeIndex[j].second;
Bvecind = dataB.fVecShapeIndex[j].first;
}
if (dimensionA != sidedim && dimensionB != sidedim) {
// vefify that the normal component of the normal vector corresponds
Avecind = dataA.fVecShapeIndex[i].first;
Bvecind = dataB.fVecShapeIndex[j].first;
REAL vecnormalA = dataA.fNormalVec(0,Avecind)*normal[0]+dataA.fNormalVec(1,Avecind)*normal[1];
REAL vecnormalB = dataB.fNormalVec(0,Bvecind)*normal[0]+dataB.fNormalVec(1,Bvecind)*normal[1];
if(fabs(vecnormalA-vecnormalB) > 1.e-6)
{
nwrong++;
LOGPZ_ERROR(logger, "normal vectors aren't equal")
}
}
shapesA[i-firstShapeA] = dataA.phi(Ashapeind,0);
shapesB[j-firstShapeB] = dataB.phi(Bshapeind,0);
REAL valA = dataA.phi(Ashapeind,0);
REAL valB = dataB.phi(Bshapeind,0);
REAL diff = valA-valB;
REAL decision = fabs(diff)-1.e-6;
if(decision > 0.)
{
nwrong ++;
std::cout << "valA = " << valA << " valB = " << valB << " Avecind " << Avecind << " Bvecind " << Bvecind <<
" Ashapeind " << Ashapeind << " Bshapeind " << Bshapeind <<
" sideA " << sideA << " sideB " << sideB << std::endl;
LOGPZ_ERROR(logger, "shape function values are different")
}
// Output as Mathematica format
void OutputMathematica(std::ofstream &outMath,int var,int pointsByElement,TPZCompMesh *cmesh) {
int i, j, k, nnodes;
int nelem = cmesh->ElementVec().NElements();
int dim = cmesh->Dimension(); // Dimension of the model
REAL w;
if(var-1 < 0) var = 1;
// Map to store the points and values
map<REAL,TPZVec<REAL> > Graph;
TPZVec<REAL> tograph(4,0.);
map<TPZVec<REAL>,REAL> Graphics;
for(i=0;i<nelem;i++) {
TPZCompEl *cel = cmesh->ElementVec()[i];
TPZGeoEl *gel = cel->Reference();
TPZInterpolationSpace * sp = dynamic_cast <TPZInterpolationSpace*>(cel);
int nstates = cel->Material()->NStateVariables();
// If var is higher than nstates of the element, go to next element
if(var > nstates)
continue;
TPZVec<REAL> qsi(3,0.), sol(nstates,0.), outfem(3,0.);
nnodes = gel->NNodes();
if(pointsByElement < nnodes) pointsByElement = nnodes;
for(j=0;j<gel->NNodes();j++) {
// Get corners points to compute solution on
gel->CenterPoint(j,qsi);
sp->Solution(qsi,0,sol);
cel->Reference()->X(qsi,outfem);
// Jointed point coordinates and solution value on
for(k=0;k<3;k++) tograph[k] = outfem[k];
tograph[k] = sol[var-1];
Graph.insert(pair<REAL,TPZVec<REAL> >(outfem[0],tograph));
Graphics.insert(pair<TPZVec<REAL>,REAL>(outfem,sol[var-1]));
// If cel is point gets one point value
if(cel->Type() == EPoint) {
break;
}
}
// If cel is point gets one point value
if(cel->Type() == EPoint) continue;
// Print another points using integration points
TPZIntPoints *rule = NULL;
int order = 1, npoints = 0;
while(pointsByElement-(npoints+nnodes) > 0) {
if(rule) delete rule; // Cleaning unnecessary allocation
int nsides = gel->NSides();
// Get the integration rule to compute internal points to print, not to print
rule = gel->CreateSideIntegrationRule(nsides-1,order);
if(!rule) break;
npoints = rule->NPoints();
order += 2;
}
for(j=0;j<npoints;j++) {
// Get integration points to get internal points
rule->Point(j,qsi,w);
sp->Solution(qsi,0,sol);
cel->Reference()->X(qsi,outfem);
// Jointed point coordinates and solution value on
for(k=0;k<3;k++) tograph[k] = outfem[k];
tograph[k] = sol[var-1];
Graph.insert(pair<REAL,TPZVec<REAL> >(outfem[0],tograph));
Graphics.insert(pair<TPZVec<REAL>,REAL>(outfem,sol[var-1]));
}
}
// Printing the points and values into the Mathematica file
outMath << "Saida = { ";
// Formatting output
outMath << fixed << setprecision(10);
if(dim<2) {
map<REAL,TPZVec<REAL> >::iterator it;
for(it=Graph.begin();it!=Graph.end();it++) {
if(it!=Graph.begin()) outMath << ",";
outMath << "{";
for(j=0;j<dim;j++)
outMath << (*it).second[j] << ",";
outMath << (*it).second[3] << "}";
}
outMath << "};" << std::endl;
// Choose Mathematica command depending on model dimension
outMath << "ListPlot[Saida,Joined->True]"<< endl;
}
else {
map<TPZVec<REAL>,REAL>::iterator it;
for(it=Graphics.begin();it!=Graphics.end();it++) {
if(it!=Graphics.begin()) outMath << ",";
outMath << "{";
for(j=0;j<dim;j++)
outMath << (*it).first[j] << ",";
outMath << (*it).second << "}";
}
outMath << "};" << std::endl;
outMath << "ListPlot3D[Saida]"<< endl;
}
}