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/*=========================================================================
Program: Insight Segmentation & Registration Toolkit
Module: itkFEMElement2DC0LinearLine.cxx
Language: C++
Date: $Date$
Version: $Revision$
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 "itkFEMElement2DC0LinearLine.h"
#include "vnl/vnl_math.h"
namespace itk {
namespace fem {
void
Element2DC0LinearLine
::GetIntegrationPointAndWeight(unsigned int i, VectorType& pt, Float& w, unsigned int order) const
{
// FIXME: range checking
// default integration order
if (order==0) { order=DefaultIntegrationOrder; }
pt.set_size(1);
pt[0]=gaussPoint[order][i];
w=gaussWeight[order][i];
}
unsigned int
Element2DC0LinearLine
::GetNumberOfIntegrationPoints(unsigned int order) const
{
// FIXME: range checking
// default integration order
if (order==0) { order=DefaultIntegrationOrder; }
return order;
}
Element2DC0LinearLine::VectorType
Element2DC0LinearLine
::ShapeFunctions( const VectorType& pt ) const
{
/* Linear Line element has two shape functions */
VectorType shapeF(2);
shapeF[0] = 0.5 - pt[0]/2.0;
shapeF[1] = 0.5 + pt[0]/2.0;
return shapeF;
}
void
Element2DC0LinearLine
::ShapeFunctionDerivatives( const VectorType&, MatrixType& shapeD ) const
{
shapeD.set_size(1,2);
shapeD[0][0] = -0.5;
shapeD[0][1] = 0.5;
}
void
Element2DC0LinearLine
::Jacobian( const VectorType&, MatrixType& J, const MatrixType*) const
{
// Since the line element defines only one global coordinate
// and lives in 2D space, we need to provide a custom Jacobian.
J.set_size(1,1);
// Get the length of the element
// Note: This simple implementation is only valid for linear line elements.
// For higher order elements we must integrate to obtain the exact
// element length
Float l=(this->m_node[1]->GetCoordinates() - this->m_node[0]->GetCoordinates()).magnitude();
J[0][0]=l/2;
}
bool
Element2DC0LinearLine
::GetLocalFromGlobalCoordinates( const VectorType& globalPt , VectorType& localPt ) const
{
// FIXME: write proper implementation
localPt=globalPt;
return false;
}
/**
* Draw the element on device context pDC.
*/
#ifdef FEM_BUILD_VISUALIZATION
void
Element2DC0LinearLine
::Draw(CDC* pDC, Solution::ConstPointer sol) const
{
int x1=m_node[0]->GetCoordinates()[0]*DC_Scale;
int y1=m_node[0]->GetCoordinates()[1]*DC_Scale;
int x2=m_node[1]->GetCoordinates()[0]*DC_Scale;
int y2=m_node[1]->GetCoordinates()[1]*DC_Scale;
x1 += sol->GetSolutionValue(this->m_node[0]->GetDegreeOfFreedom(0))*DC_Scale;
y1 += sol->GetSolutionValue(this->m_node[0]->GetDegreeOfFreedom(1))*DC_Scale;
x2 += sol->GetSolutionValue(this->m_node[1]->GetDegreeOfFreedom(0))*DC_Scale;
y2 += sol->GetSolutionValue(this->m_node[1]->GetDegreeOfFreedom(1))*DC_Scale;
pDC->MoveTo(x1,y1);
pDC->LineTo(x2,y2);
}
#endif
}} // end namespace itk::fem
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