void Mesh::writeMSH(const char *filename)
{
FILE *f = fopen(filename, "w");
fprintf(f, "$MeshFormat\n");
fprintf(f, "2.2 0 8\n");
fprintf(f, "$EndMeshFormat\n");
fprintf(f, "$Nodes\n");
fprintf(f, "%d\n", nVert());
for (int i = 0; i < nVert(); i++)
fprintf(f, "%d %22.15E %22.15E %22.15E\n", i + 1, _xyz[i].x(), _xyz[i].y(), _xyz[i].z());
fprintf(f, "$EndNodes\n");
fprintf(f, "$Elements\n");
fprintf(f, "%d\n", nEl());
for (int iEl = 0; iEl < nEl(); iEl++) {
fprintf(f, "%d %d 2 0 0", _el[iEl]->getNum(), _el[iEl]->getTypeForMSH());
for (size_t iVEl = 0; iVEl < _el2V[iEl].size(); iVEl++)
fprintf(f, " %d", _el2V[iEl][iVEl] + 1);
fprintf(f, "\n");
}
fprintf(f, "$EndElements\n");
fclose(f);
}
void Mesh::updateGEntityPositions()
{
for (int iV = 0; iV < nVert(); iV++)
_vert[iV]->setXYZ(_xyz[iV].x(),_xyz[iV].y(),_xyz[iV].z());
for (int iFV = 0; iFV < nFV(); iFV++)
_paramFV[iFV]->exportParamCoord(_uvw[iFV]);
}
void Mesh::updateGEntityPositions(const std::vector<SPoint3> &xyz,
const std::vector<SPoint3> &uvw)
{
for (int iV = 0; iV < nVert(); iV++)
_vert[iV]->setXYZ(xyz[iV].x(),xyz[iV].y(),xyz[iV].z());
for (int iFV = 0; iFV < nFV(); iFV++)
_paramFV[iFV]->exportParamCoord(uvw[iFV]);
}
void Mesh::getGEntityPositions(std::vector<SPoint3> &xyz,
std::vector<SPoint3> &uvw)
{
xyz.resize(nVert());
uvw.resize(nFV());
for (int iV = 0; iV < nVert(); iV++)
xyz[iV] = SPoint3(_vert[iV]->x(),_vert[iV]->y(),_vert[iV]->z());
for (int iFV = 0; iFV < nFV(); iFV++){
MVertex *v = _freeVert[iFV];
if (v->onWhat()->dim() == 1){
double t;
v->getParameter(0,t);
uvw[iFV] = SPoint3(t,0,0);
}
if (v->onWhat()->dim() == 2){
double uu,vv;
v->getParameter(0,uu);
v->getParameter(1,vv);
uvw[iFV] = SPoint3(uu,vv,0);
}
}
}
Mesh::Mesh(const std::map<MElement*,GEntity*> &element2entity,
const std::set<MElement*> &els, std::set<MVertex*> &toFix,
bool fixBndNodes, bool fastJacEval) :
_fastJacEval(fastJacEval)
{
_dim = (*els.begin())->getDim();
// Initialize elements, vertices, free vertices and element->vertices
// connectivity
const int nElements = els.size();
_nPC = 0;
_el.resize(nElements);
_el2FV.resize(nElements);
_el2V.resize(nElements);
_nBezEl.resize(nElements);
_nNodEl.resize(nElements);
_indPCEl.resize(nElements);
int iEl = 0;
bool nonGeoMove = false;
for(std::set<MElement*>::const_iterator it = els.begin();
it != els.end(); ++it, ++iEl) {
_el[iEl] = *it;
const JacobianBasis *jac = _el[iEl]->getJacobianFuncSpace();
_nBezEl[iEl] = _fastJacEval ? jac->getNumJacNodesFast() : jac->getNumJacNodes();
_nNodEl[iEl] = jac->getNumMapNodes();
for (int iVEl = 0; iVEl < jac->getNumMapNodes(); iVEl++) {
MVertex *vert = _el[iEl]->getVertex(iVEl);
GEntity *ge = vert->onWhat();
const int vDim = ge->dim();
const bool hasParam = ge->haveParametrization();
int iV = addVert(vert);
_el2V[iEl].push_back(iV);
if ((vDim > 0) && (toFix.find(vert) == toFix.end()) && (!fixBndNodes || vDim == _dim)) { // Free vertex?
ParamCoord *param;
if (vDim == 3) param = new ParamCoordPhys3D();
else if (hasParam) param = new ParamCoordParent(vert);
else {
if (vDim == 2) param = new ParamCoordLocalSurf(vert);
else param = new ParamCoordLocalLine(vert);
nonGeoMove = true;
}
int iFV = addFreeVert(vert,iV,vDim,param,toFix);
_el2FV[iEl].push_back(iFV);
for (int i=_startPCFV[iFV]; i<_startPCFV[iFV]+vDim; i++) _indPCEl[iEl].push_back(i);
}
else _el2FV[iEl].push_back(-1);
}
}
if (nonGeoMove) Msg::Info("WARNING: Some vertices will be moved along local lines "
"or planes, they may not remain on the exact geometry");
// Initial coordinates
_ixyz.resize(nVert());
for (int iV = 0; iV < nVert(); iV++) _ixyz[iV] = _vert[iV]->point();
_iuvw.resize(nFV());
for (int iFV = 0; iFV < nFV(); iFV++) _iuvw[iFV] = _paramFV[iFV]->getUvw(_freeVert[iFV]);
// Set current coordinates
_xyz = _ixyz;
_uvw = _iuvw;
// Set normals to 2D elements (with magnitude of inverse Jacobian) or initial
// Jacobians of 3D elements
if (_dim == 2) {
_scaledNormEl.resize(nEl());
for (int iEl = 0; iEl < nEl(); iEl++) calcScaledNormalEl2D(element2entity,iEl);
}
else {
_invStraightJac.resize(nEl(),1.);
double dumJac[3][3];
for (int iEl = 0; iEl < nEl(); iEl++)
_invStraightJac[iEl] = 1. / fabs(_el[iEl]->getPrimaryJacobian(0.,0.,0.,dumJac));
}
}
void Mesh::approximationErrorAndGradients(int iEl, double &f, std::vector<double> &gradF, double eps,
simpleFunction<double> &fct)
{
std::vector<SPoint3> _xyz_temp;
for (int iV = 0; iV < nVert(); iV++){
_xyz_temp.push_back(SPoint3( _vert[iV]->x(), _vert[iV]->y(), _vert[iV]->z()));
_vert[iV]->setXYZ(_xyz[iV].x(),_xyz[iV].y(),_xyz[iV].z());
}
MElement *element = _el[iEl];
f = approximationError (fct, element);
// FIME
// if (iEl < 1)printf("approx error elem %d = %g\n",iEl,f);
int currentId = 0;
// compute the size of the gradient
// depends on how many dofs exist per vertex (0,1,2 or 3)
for (size_t i = 0; i < element->getNumVertices(); ++i) {
if (_el2FV[iEl][i] >= 0) {// some free coordinates
currentId += _nPCFV[_el2FV[iEl][i]];
}
}
gradF.clear();
gradF.resize(currentId, 0.);
currentId = 0;
for (size_t i = 0; i < element->getNumVertices(); ++i) {
if (_el2FV[iEl][i] >= 0) {// some free coordinates
MVertex *v = element->getVertex(i);
// vertex classified on a model edge
if (_nPCFV[_el2FV[iEl][i]] == 1){
double t = _uvw[_el2FV[iEl][i]].x();
GEdge *ge = (GEdge*)v->onWhat();
SPoint3 p (v->x(),v->y(),v->z());
GPoint d = ge->point(t+eps);
v->setXYZ(d.x(),d.y(),d.z());
double f_d = approximationError (fct, element);
gradF[currentId++] = (f_d-f)/eps;
if (iEl < 1)printf("df = %g\n",(f_d-f)/eps);
v->setXYZ(p.x(),p.y(),p.z());
}
else if (_nPCFV[_el2FV[iEl][i]] == 2){
double uu = _uvw[_el2FV[iEl][i]].x();
double vv = _uvw[_el2FV[iEl][i]].y();
GFace *gf = (GFace*)v->onWhat();
SPoint3 p (v->x(),v->y(),v->z());
GPoint d = gf->point(uu+eps,vv);
v->setXYZ(d.x(),d.y(),d.z());
double f_u = approximationError (fct, element);
gradF[currentId++] = (f_u-f)/eps;
d = gf->point(uu,vv+eps);
v->setXYZ(d.x(),d.y(),d.z());
double f_v = approximationError (fct, element);
gradF[currentId++] = (f_v-f)/eps;
v->setXYZ(p.x(),p.y(),p.z());
// if (iEl < 1)printf("df = %g %g\n",(f_u-f)/eps,(f_v-f)/eps);
}
}
}
for (int iV = 0; iV < nVert(); iV++)
_vert[iV]->setXYZ(_xyz_temp[iV].x(),_xyz_temp[iV].y(),_xyz_temp[iV].z());
}