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onto_from_mesh.cpp
707 lines (412 loc) · 14.1 KB
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onto_from_mesh.cpp
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#include"main.h"
#include"sim_pars.h"
#include"periodic.h"
#include"linear.h"
extern sim_pars simu;
FT values_at(const Triangulation& T, const Point& p0, const bool FEM,
const kind::f scalarf ) ;
Vector_2 values_at_v(const Triangulation& T, const Point& p0, const bool FEM,
const kind::f vectorf ) ;
FT vect_prod(const Vector_2& v1 , const Vector_2& v2 ) {
return v1.x() * v2.y() - v1.y() * v2.x() ;
}
#include"onto_from_mesh.h"
// local util functions.-
void lumped_full_common(Triangulation& Tfrom, Triangulation& Tto, const kind::f scalarf);
void lumped_full_common_v(Triangulation& Tfrom, Triangulation& Tto, const kind::f vectorf);
void lumped_full_common_vertices(Triangulation& Tfrom, Triangulation& Tto, const kind::f scalarf);
void lumped_full_common_vertices_v(Triangulation& Tfrom, Triangulation& Tto, const kind::f vectorf);
//void lumped_full_common_interp(void) ;
void lumped_full_common_centroid(const kind::f scalarf);
void lumped_full_common_centroid_v(const kind::f vectorf);
void FEM_hs(const Face_handle& fc, const Point& p0,
std::vector<Vertex_handle>& v,
std::vector<FT>& hh );
void reset_v(Triangulation& T, const kind::f vectorf) {
for(F_v_it vit=T.vertices_begin();
vit != T.vertices_end();
vit++) {
vit->vf(vectorf).reset();
}
return;
}
void incr_v(Triangulation& T, const kind::f vectorfrom,const kind::f vectorincr, const kind::f vectorto) {
for(F_v_it vit=T.vertices_begin();
vit != T.vertices_end();
vit++) {
Vector_2 v_from = vit->vf(vectorfrom).val();
Vector_2 Delta_v = vit->vf(vectorincr).val();
vit->vf(vectorto).set( v_from + Delta_v );
}
return;
}
void from_mesh_full( Triangulation& Tfrom, Triangulation& Tto, linear& algebra_p, const kind::f scalarf) {
lumped_full_common( Tfrom , Tto , scalarf);
algebra_p.mass_s(scalarf);
return;
}
void from_mesh_full_v( Triangulation& Tfrom, Triangulation& Tto, linear& algebra_p, const kind::f vectorf) {
lumped_full_common_v( Tfrom, Tto , vectorf);
algebra_p.mass_v(vectorf);
return;
}
void from_mesh_lumped( Triangulation& Tfrom, Triangulation& Tto, const kind::f scalarf) {
lumped_full_common( Tfrom, Tto , scalarf);
for(F_v_it vit=Tto.vertices_begin();
vit != Tto.vertices_end();
vit++) {
FT V=vit->vol();
vit->sf(scalarf) /= V ;
}
return;
}
void from_mesh_lumped_v( Triangulation& Tfrom, Triangulation& Tto, const kind::f vectorf) {
lumped_full_common_v( Tfrom, Tto , vectorf);
for(F_v_it vit=Tto.vertices_begin();
vit != Tto.vertices_end();
vit++) {
FT V=vit->vol();
vit->vf(vectorf) /= V ;
}
return;
}
void onto_mesh_full( Triangulation& Tfrom, Triangulation& Tto, linear& algebra, const kind::f scalarf) {
lumped_full_common( Tfrom, Tto , scalarf);
algebra.mass_s(scalarf);
return;
}
void onto_mesh_full_v( Triangulation& Tfrom, Triangulation& Tto, linear& algebra, const kind::f vectorf) {
lumped_full_common_v( Tfrom, Tto , vectorf);
algebra.mass_v(vectorf);
return;
}
void lumped_full_common(Triangulation& Tfrom, Triangulation& Tto, const kind::f scalarf) {
lumped_full_common_vertices( Tfrom, Tto, scalarf );
//lumped_full_common_centroid(scalarf);
// lumped_full_common_interp();
return;
}
void lumped_full_common_v(Triangulation& Tfrom, Triangulation& Tto,const kind::f vectorf) {
lumped_full_common_vertices_v( Tfrom, Tto, vectorf );
// lumped_full_common_centroid_v(vectorf);
// lumped_full_common_interp();
return;
}
void onto_mesh_delta( Triangulation& Tfrom, Triangulation& Tto, const kind::f scalarf) {
for(F_v_it vit=Tto.vertices_begin();
vit != Tto.vertices_end();
vit++) {
Point pm = vit->point();
// cout << pm << endl ;
FT ss=values_at( Tfrom , pm , simu.FEMp(), scalarf );
vit->sf( scalarf).set( ss );
}
return;
}
void onto_mesh_delta_v(Triangulation& Tfrom, Triangulation& Tto, const kind::f vectorf) {
for(F_v_it vit=Tto.vertices_begin();
vit != Tto.vertices_end();
vit++) {
Point pm = vit->point();
Vector_2 vv=values_at_v(Tfrom , pm , simu.FEMp(), vectorf );
vit->vf( vectorf ).set( vv );
}
return;
}
void FEM_hs(const Face_handle& fc, const Point& p0,
std::vector<Vertex_handle>& v,
std::vector<FT>& hh ) {
for(int i=0; i < 3 ; ++i) v[i] = fc->vertex(i);
std::vector<Point> p(3);
for(int i=0; i < 3 ; ++i) p[i] = v[i]->point();
Vector_2 v01 = per_vect( p[0] , p[1] );
Vector_2 v02 = per_vect( p[0] , p[2] );
FT A = fc->area;
Vector_2 rr = per_vect( p[0] , p0 );
hh[1] = vect_prod( rr , v02 ) / (2*A);
hh[2] = vect_prod( v01 , rr ) / (2*A);
hh[0] = 1 - hh[1] - hh[2];
return;
}
FT values_at(const Triangulation& T, const Point& p0, const bool FEM,
const kind::f scalarf) {
std::vector<Vertex_handle> v(3);
std::vector<FT> hh(3);
// cout << "Locating p0 = " << p0 << endl ;
Face_handle fc=T.locate( p0 );
// cout << " located" << endl;
FEM_hs( fc , p0, v, hh);
FT ss=0;
for(int i0 = 0; i0 < 3 ; ++i0) {
ss += v[i0]->sf( scalarf ).val() * hh[i0];
if(FEM) continue;
typedef std::vector<Vertex_handle> v_vrtcs;
typedef std::vector<FT> v_A;
// cout << i0 << endl;
v_vrtcs cvs=fc->connects[i0]; // cv: connected vertices
v_A coeffs=fc->coeffs[i0];
int i1= (i0+1)%3;
int i2= (i0+2)%3;
FT overlap = hh[i1] * hh[i2] ; // * A/12 ;
for(int n=0;n<cvs.size();n++) {
FT mm;
FT AA=coeffs[n];
Vertex_handle cv=cvs[n];
// cout << n << " " << mm << endl;
mm= AA * overlap;
ss += cv->sf( scalarf ).val() * mm;
}
}
return ss;
}
Vector_2 values_at_v(const Triangulation& T, const Point& p0, const bool FEM,
const kind::f vectorf) {
std::vector<Vertex_handle> v(3);
std::vector<FT> hh(3);
// cout << "Locating p0 = " << p0 ;
Face_handle fc=T.locate( p0 );
// cout << " located" << endl;
FEM_hs( fc , p0, v, hh);
Vector_2 vv(0,0);
for(int i0 = 0; i0 < 3 ; ++i0) {
vv = vv + hh[i0] * v[i0]->vf( vectorf ).val() ;
if(FEM) continue;
typedef std::vector<Vertex_handle> v_vrtcs;
typedef std::vector<FT> v_A;
// cout << i0 << endl;
v_vrtcs cvs=fc->connects[i0]; // cv: connected vertices
v_A coeffs=fc->coeffs[i0];
int i1= (i0+1)%3;
int i2= (i0+2)%3;
FT overlap = hh[i1] * hh[i2] ; // * A/12 ;
for(int n=0;n<cvs.size();n++) {
FT mm;
FT AA=coeffs[n];
Vertex_handle cv=cvs[n];
// cout << n << " " << mm << endl;
mm= AA * overlap;
vv = vv + mm * cv->vf( vectorf ).val() ;
}
}
return vv;
}
void onto_mesh_lumped(Triangulation& Tfrom, Triangulation& Tto, const kind::f scalarf) {
lumped_full_common( Tfrom , Tto , scalarf );
for(F_v_it vit=Tto.vertices_begin();
vit != Tto.vertices_end();
vit++) {
FT V=vit->vol();
vit->sf(scalarf) /= V ;
// cout << vit->p() << endl;
}
return;
}
void lumped_full_common_vertices( Triangulation& Tfrom, Triangulation& Tto, const kind::f scalarf ) {
// Linear approximation for the integrals,
// as opposed to quadratic
// May be tied to simu.FEMp() or not!
bool linear = false ; // = simu.FEMp();
for(F_v_it vit=Tto.vertices_begin();
vit != Tto.vertices_end();
vit++)
vit->sf(scalarf).reset();
for(F_f_it fit=Tto.faces_begin();
fit != Tto.faces_end();
fit++) {
vector<FT> field_at_v( 3 );
for(int i0 = 0; i0 < 3 ; ++i0) {
Vertex_handle vm = fit->vertex(i0);
Point pm=per_point( vm->point() );
// cout << "Finding value at " << pm << endl;
field_at_v[i0] = values_at(Tfrom , pm , simu.FEMp(), scalarf );
}
// Field opposite vertex i:
vector<FT> field_op_v( 3 );
// if( !simu.FEMp() ) {
if( !linear ) {
for(int i0 = 0; i0 < 3 ; ++i0) {
int i1 = (i0+1) % 3;
int i2 = (i1+1) % 3;
Vertex_handle v1 = fit->vertex(i1);
Vertex_handle v2 = fit->vertex(i2);
Point p1=per_point( v1->point() );
Point p2=per_point( v2->point() );
Vector_2 v12=per_vect(p1,p2);
Point pm=per_point( p1 + v12 / 2.0 );
field_op_v[i0] = values_at( Tfrom , pm , simu.FEMp(), scalarf );
}
}
// Do the area integrals of the field values:
FT a=fit->area;
// FT vol = a / 3.0;
std::vector<FT> pm(3);
// if( !simu.FEMp() )
if( !linear )
for(int i0 = 0; i0 < 3 ; ++i0) {
int i1 = (i0+1) % 3;
int i2 = (i1+1) % 3;
pm[i0] = 4 * field_op_v[i0] - 2 * field_at_v[i1] - 2 * field_at_v[i2] ;
}
for(int i0 = 0; i0 < 3 ; ++i0) {
Vertex_handle vm = fit->vertex(i0);
int i1 = (i0+1) % 3;
int i2 = (i1+1) % 3;
vm->sf(scalarf) += ( 2 * field_at_v[i0] + field_at_v[i1] + field_at_v[i2] ) * a / 12.0 ;
FT p0m, p1m, p2m;
Vector_2 U0m, U1m, U2m;
Vector_2 Uold0m, Uold1m, Uold2m;
// if( !simu.FEMp() )
if( !linear )
vm->sf(scalarf) += ( pm[i0] + 2 * pm[i1] + 2 * pm[i2] ) * a / 60.0 ;
if(simu.FEMm()) continue;
typedef std::vector<Vertex_handle> v_vrtcs;
typedef std::vector<FT> v_A;
v_vrtcs cvs=fit->connects[i0]; // cv: connected vertices
v_A coeffs=fit->coeffs[i0];
// FT vol2 = a / 12.0;
for(int n=0;n<cvs.size();n++) {
FT AA=coeffs[n];
Vertex_handle cv=cvs[n];
cv->sf(scalarf) += ( field_at_v[i0] + 2 * field_at_v[i1] + 2* field_at_v[i2] ) * AA * a / 60.0 ;
// if( !simu.FEMp() )
if( !linear )
cv->sf(scalarf) += ( 2 * pm[i0] + pm[i1] + pm[i2] ) * AA * a / 180.0 ;
}
}
}
return;
}
void lumped_full_common_vertices_v( Triangulation& Tfrom, Triangulation& Tto, const kind::f vectorf ) {
bool linear = false ; // = simu.FEMp();
for(F_v_it vit=Tto.vertices_begin();
vit != Tto.vertices_end();
vit++)
vit->vf(vectorf).reset();
for(F_f_it fit=Tto.faces_begin();
fit != Tto.faces_end();
fit++) {
vector<Vector_2> field_at_v( 3 );
for(int i0 = 0; i0 < 3 ; ++i0) {
Vertex_handle vm = fit->vertex(i0);
Point pm=per_point( vm->point() );
field_at_v[i0] = values_at_v(Tfrom , pm , simu.FEMp(), vectorf );
}
vector<Vector_2> field_op_v( 3 );
// if( !simu.FEMp() ) {
if( !linear ) {
for(int i0 = 0; i0 < 3 ; ++i0) {
int i1 = (i0+1) % 3;
int i2 = (i1+1) % 3;
Vertex_handle v1 = fit->vertex(i1);
Vertex_handle v2 = fit->vertex(i2);
Point p1=per_point( v1->point() );
Point p2=per_point( v2->point() );
Vector_2 v12=per_vect(p1,p2);
Point pm=per_point( p1 + v12 / 2.0 );
field_op_v[i0] = values_at_v( Tfrom , pm , simu.FEMp(), vectorf );
}
}
// Do the area integrals of the field values:
FT a=fit->area;
// FT vol = a / 3.0;
std::vector<Vector_2> pm(3);
// if( !simu.FEMp() )
if( !linear )
for(int i0 = 0; i0 < 3 ; ++i0) {
int i1 = (i0+1) % 3;
int i2 = (i1+1) % 3;
pm[i0] = 4 * field_op_v[i0] - 2 * field_at_v[i1] - 2 * field_at_v[i2] ;
}
for(int i0 = 0; i0 < 3 ; ++i0) {
Vertex_handle vm = fit->vertex(i0);
int i1 = (i0+1) % 3;
int i2 = (i1+1) % 3;
vm->vf(vectorf) += ( 2 * field_at_v[i0] + field_at_v[i1] + field_at_v[i2] ) * a / 12.0 ;
FT p0m, p1m, p2m;
Vector_2 U0m, U1m, U2m;
Vector_2 Uold0m, Uold1m, Uold2m;
// if( !simu.FEMp() )
if( !linear )
vm->vf(vectorf) += ( pm[i0] + 2 * pm[i1] + 2 * pm[i2] ) * a / 60.0 ;
if(simu.FEMm()) continue;
typedef std::vector<Vertex_handle> v_vrtcs;
typedef std::vector<FT> v_A;
v_vrtcs cvs=fit->connects[i0]; // cv: connected vertices
v_A coeffs=fit->coeffs[i0];
// FT vol2 = a / 12.0;
for(int n=0;n<cvs.size();n++) {
FT AA=coeffs[n];
Vertex_handle cv=cvs[n];
cv->vf(vectorf) += ( field_at_v[i0] + 2 * field_at_v[i1] + 2* field_at_v[i2] ) * AA * a / 60.0 ;
if( !simu.FEMp() )
cv->vf(vectorf) += ( 2 * pm[i0] + pm[i1] + pm[i2] ) * AA * a / 180.0 ;
}
}
}
return;
}
void from_mesh(Triangulation& Tfrom, Triangulation& Tto, const kind::f scalarf) {
for(F_v_it vit=Tto.vertices_begin();
vit != Tto.vertices_end();
vit++) {
Point pm = vit->point();
vit->sf( scalarf).set( values_at(Tfrom , pm , simu.FEMm(), scalarf) );
}
return;
}
void from_mesh_v(Triangulation& Tfrom, Triangulation& Tto, const kind::f vectorf) {
for(F_v_it vit=Tto.vertices_begin();
vit != Tto.vertices_end();
vit++) {
Point pm = vit->point();
vit->vf( vectorf ).set( values_at_v(Tfrom , pm , simu.FEMm(), vectorf) );
}
return;
}
void flip_volumes(Triangulation& Tpart, Triangulation& Tmesh, bool FEM) {
for(F_v_it fv=Tmesh.finite_vertices_begin();
fv!=Tmesh.finite_vertices_end();
fv++) {
// fv->fvol.reset();
Point pm = fv->point();
Face_handle fc=Tpart.locate( pm );
std::vector<Vertex_handle> v(3);
std::vector<FT> hh(3);
FEM_hs( fc , pm, v, hh);
FT fvol=0;
for(int i0=0; i0< 3 ;i0++)
fvol += hh[i0] * v[i0]->vol();
fv->fvol.set( fvol ) ;
}
cout << "FLIP volumes computed" << endl;
}
void onto_mesh_flip(Triangulation& Tpart, Triangulation& Tmesh, bool FEM, const kind::f scalarf ) {
for(F_v_it fv=Tmesh.finite_vertices_begin();
fv!=Tmesh.finite_vertices_end();
fv++) {
fv->sf(scalarf).reset();
Point pm = fv->point();
Face_handle fc=Tpart.locate( pm );
std::vector<Vertex_handle> v(3);
std::vector<FT> hh(3);
FEM_hs( fc , pm, v, hh);
for(int i0=0; i0< 3 ;i0++)
fv->sf(scalarf) += hh[i0] * v[i0]->sf(scalarf).val() * v[i0]->vol();
fv->sf(scalarf) /= fv->fvol.val();
}
}
void onto_mesh_flip_v(Triangulation& Tpart, Triangulation& Tmesh, bool FEM, const kind::f vectorf ) {
for(F_v_it fv=Tmesh.finite_vertices_begin();
fv!=Tmesh.finite_vertices_end();
fv++) {
fv->vf(vectorf).reset();
Point pm = fv->point();
Face_handle fc=Tpart.locate( pm );
std::vector<Vertex_handle> v(3);
std::vector<FT> hh(3);
FEM_hs( fc , pm, v, hh);
for(int i0=0; i0< 3 ;i0++)
fv->vf(vectorf) += hh[i0] * v[i0]->vf(vectorf).val() * v[i0]->vol();
fv->vf(vectorf) /= fv->fvol.val();
}
}