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/*=========================================================================
Program: Insight Segmentation & Registration Toolkit
Copyright (c) Insight Software Consortium. All rights reserved.
See ITKCopyright.txt or http://www.itk.org/HTML/Copyright.htm for details.
This software is distributed WITHOUT ANY WARRANTY; without even
the implied warranty of MERCHANTABILITY or FITNESS FOR A PARTICULAR
PURPOSE. See the above copyright notices for more information.
=========================================================================*/
// disable debug warnings in MS compiler
#ifdef _MSC_VER
# pragma warning(disable : 4786)
#endif
#include <cmath>
#include "itkFEMElement3DC0LinearTriangularLaplaceBeltrami.h"
namespace itk
{
namespace fem
{
Element3DC0LinearTriangularLaplaceBeltrami ::Element3DC0LinearTriangularLaplaceBeltrami()
: Superclass()
{}
Element3DC0LinearTriangularLaplaceBeltrami ::Element3DC0LinearTriangularLaplaceBeltrami(NodeIDType n1_,
NodeIDType n2_,
NodeIDType n3_,
Material::ConstPointer m_)
: Superclass()
{
// Set the geometrical points
this->SetNode(0, n1_);
this->SetNode(1, n2_);
this->SetNode(2, n3_);
/*
* Initialize the pointer to material object and check that
* we were given the pointer to the right class.
* If the material class was incorrect an exception is thrown.
*/
if ((m_mat = dynamic_cast<const MaterialLinearElasticity *>(&*m_)) == 0)
{
throw FEMExceptionWrongClass(
__FILE__, __LINE__, "Element3DC0LinearTriangularLaplaceBeltrami::Element3DC0LinearTriangularLaplaceBeltrami()");
}
}
void
Element3DC0LinearTriangularLaplaceBeltrami::GetStiffnessMatrix(MatrixType & Ke) const
{
MatrixType cot, D, BB;
this->GetMaterialMatrix(D);
//
// ::std::cout<< " Nip " << Nip << " w " << w << std::endl;
this->GetMaterialMatrix(D);
cot.set_size(3, 3);
cot.fill(0.);
int na = 0;
int nb = 1;
int nc = 2;
VectorType A = this->GetNode(na)->GetCoordinates();
VectorType B = this->GetNode(nb)->GetCoordinates();
VectorType C = this->GetNode(nc)->GetCoordinates();
VectorType BA = B - A;
VectorType CA = C - A;
VectorType CB = C - B;
float L1 = CB.magnitude();
float L2 = CA.magnitude();
float L3 = BA.magnitude();
float s = (L1 + L2 + L3) * .5;
Float Area = sqrt(s * (s - L1) * (s - L2) * (s - L3));
cot[0][0] = (2.0 * L1 * L1) * D[0][0];
cot[1][1] = (2.0 * L2 * L2) * D[0][0];
cot[2][2] = (2.0 * L3 * L3) * D[0][0];
cot[0][1] = (L3 * L3 - L1 * L1 - L2 * L2) * D[0][0];
cot[0][2] = (L2 * L2 - L1 * L1 - L3 * L3) * D[0][0];
cot[1][2] = (L1 * L1 - L3 * L3 - L2 * L2) * D[0][0];
cot[1][0] = (L3 * L3 - L1 * L1 - L2 * L2) * D[0][0];
cot[2][0] = (L2 * L2 - L1 * L1 - L3 * L3) * D[0][0];
cot[2][1] = (L1 * L1 - L3 * L3 - L2 * L2) * D[0][0];
cot = cot * 1.0 / (8.0 * Area);
/* if ( this->GetNode(0)->GetDegreeOfFreedom(0)==53 ||
this->GetNode(1)->GetDegreeOfFreedom(0)==53 ||
this->GetNode(2)->GetDegreeOfFreedom(0)==53 )
{
::std::cout << " cot " << this->GetNode(0)->GetDegreeOfFreedom(0) << " " <<this->GetNode(1)->GetDegreeOfFreedom(0)
<< " " <<this->GetNode(2)->GetDegreeOfFreedom(0) <<std::endl;
::std::cout << cot <<std::endl;
}
*/
if (GetNumberOfDegreesOfFreedomPerNode() == 3)
{
Ke.set_size(9, 9);
Ke.fill(0.0);
for (int dd = 0; dd < 3; dd++)
{
Ke[0][dd * 3] = cot[0][dd];
}
for (int dd = 0; dd < 3; dd++)
{
Ke[1][dd * 3 + 1] = cot[0][dd];
}
for (int dd = 0; dd < 3; dd++)
{
Ke[2][dd * 3 + 2] = cot[0][dd];
}
for (int dd = 0; dd < 3; dd++)
{
Ke[3][dd * 3] = cot[1][dd];
}
for (int dd = 0; dd < 3; dd++)
{
Ke[4][dd * 3 + 1] = cot[1][dd];
}
for (int dd = 0; dd < 3; dd++)
{
Ke[5][dd * 3 + 2] = cot[1][dd];
}
for (int dd = 0; dd < 3; dd++)
{
Ke[6][dd * 3] = cot[2][dd];
}
for (int dd = 0; dd < 3; dd++)
{
Ke[7][dd * 3 + 1] = cot[2][dd];
}
for (int dd = 0; dd < 3; dd++)
{
Ke[8][dd * 3 + 2] = cot[2][dd];
}
}
else
{
Ke = cot;
}
// ::std::cout << " Ke in elt " <<std::endl;
// ::std::cout << Ke <<std::endl;
}
/*
void Element3DC0LinearTriangularLaplaceBeltrami::GetStiffnessMatrix(MatrixType& Ke) const
{
MatrixType cot,D,BB;
this->GetMaterialMatrix( D );
VectorType ip;
Float w;
MatrixType J;
MatrixType shapeDgl;
MatrixType shapeD;
//
//::std::cout<< " Nip " << Nip << " w " << w << std::endl;
this->GetMaterialMatrix(D);
cot.set_size(3,3);
cot.fill(0.);
int na=0;
int nb=1;
int nc=2;
{
VectorType A=this->GetNode(na)->GetCoordinates();
VectorType B=this->GetNode(nb)->GetCoordinates();
VectorType C=this->GetNode(nc)->GetCoordinates();
VectorType BA =B-A;
VectorType AC =A-C;
VectorType CB =C-B;
float bamag=BA.magnitude();
float cbmag=CB.magnitude();
float acmag=AC.magnitude();
if (bamag > cbmag && bamag > acmag) { na=0; nb=1; nc=2; }
if (cbmag > bamag && cbmag > acmag) { na=1; nb=2; nc=0; }
if (acmag > bamag && acmag > cbmag) { na=2; nb=0; nc=1; }
}
VectorType A=this->GetNode(na)->GetCoordinates();
VectorType B=this->GetNode(nb)->GetCoordinates();
VectorType C=this->GetNode(nc)->GetCoordinates();
VectorType BA =B-A;
VectorType CA =C-A;
VectorType CB =C-B;
float bamag=BA.magnitude();
float cbmag=CB.magnitude();
float acmag=CA.magnitude();
float t=(CA[0]*BA[0]+CA[1]*BA[1]+CA[2]*BA[2])/bamag*bamag;
VectorType E = A+BA*t;
VectorType CE =C-E;
VectorType BE =B-E;
VectorType AE =A-E;
float cemag=CE.magnitude();
float bemag=CE.magnitude();
float aemag=AE.magnitude();
float h1;
if (acmag > aemag) h1=acmag; else h1=aemag;
float theta1=asin(cemag/h1);
float h2;
if (cbmag > bemag) h2=cbmag; else h2=bemag;
float theta2=asin(cemag/h2);
float theta3=acos(-1.0)-theta1-theta2;
float cottheta1=cemag/aemag;
// if (aemag == 0) cottheta1=1.0/tan(3.14159/2.0);
float cottheta2=cemag/bemag;
float cottheta3=1.0/tan(theta3);
// if (fabs(cottheta1-1) < 1.e-6 && fabs(cottheta2-1) < 1.e-6) cottheta3=1.0;
// ::std::cout <<" ct0 " << cottheta1 <<" ct1 " << cottheta2 <<" ct2 " << cottheta3 << std::endl;
cot[na][na]=(cottheta3+cottheta2)*D[0][0];
cot[nb][nb]=(cottheta3+cottheta1)*D[0][0];
cot[nc][nc]=(cottheta1+cottheta2)*D[0][0];
cot[na][na]=-cottheta3*D[0][0];
cot[na][nc]=-cottheta2*D[0][0];
cot[nb][nc]=-cottheta1*D[0][0];
cot[nc][nb]=cot[nb][nc]*D[0][0];
cot[nc][na]=cot[na][nc]*D[0][0];
cot[nb][na]=cot[na][nb]*D[0][0];
cot=cot*0.5;
Ke=cot;
if ( this->GetNode(0)->GetDegreeOfFreedom(0)==909 ||
this->GetNode(1)->GetDegreeOfFreedom(0)==909 ||
this->GetNode(2)->GetDegreeOfFreedom(0)==909 )
{
::std::cout << " cot " << std::endl;
::std::cout << cot <<std::endl;
}
Ke.set_size(9,9);
Ke.fill(0.0);
for(int dd=0; dd<3; dd++) Ke[0][dd*3]=cot[0][dd];
for(int dd=0; dd<3; dd++) Ke[1][dd*3+1]=cot[0][dd];
for(int dd=0; dd<3; dd++) Ke[2][dd*3+2]=cot[0][dd];
for(int dd=0; dd<3; dd++) Ke[3][dd*3]=cot[1][dd];
for(int dd=0; dd<3; dd++) Ke[4][dd*3+1]=cot[1][dd];
for(int dd=0; dd<3; dd++) Ke[5][dd*3+2]=cot[1][dd];
for(int dd=0; dd<3; dd++) Ke[6][dd*3]=cot[2][dd];
for(int dd=0; dd<3; dd++) Ke[7][dd*3+1]=cot[2][dd];
for(int dd=0; dd<3; dd++) Ke[8][dd*3+2]=cot[2][dd];
// ::std::cout << " Ke in elt " <<std::endl;
// ::std::cout << Ke <<std::endl;
}
*/
FEM_CLASS_REGISTER(Element3DC0LinearTriangularLaplaceBeltrami)
} // namespace fem
} // namespace itk
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