itkFEMElement2DC0QuadraticTriangular.h

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 *  Copyright Insight Software Consortium
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#ifndef __itkFEMElement2DC0QuadraticTriangular_h
#define __itkFEMElement2DC0QuadraticTriangular_h

#include "itkFEMElementStd.h"

namespace itk
{
namespace fem
{
class Element2DC0QuadraticTriangular : public ElementStd<6, 2>
{
public:

  typedef Element2DC0QuadraticTriangular Self;
  typedef ElementStd<6, 2>               TemplatedParentClass;
  typedef TemplatedParentClass           Superclass;
  typedef SmartPointer<Self>             Pointer;
  typedef SmartPointer<const Self>       ConstPointer;

  itkTypeMacro(Element2DC0QuadraticTriangular, TemplatedParentClass);

  // ////////////////////////////////////////////////////////////////////////
  enum { DefaultIntegrationOrder = 2 };

  virtual void GetIntegrationPointAndWeight(unsigned int i, VectorType & pt, Float & w, unsigned int order) const;

  virtual unsigned int GetNumberOfIntegrationPoints(unsigned int order) const;

  // ////////////////////////////////////////////////////////////////////////
  virtual VectorType ShapeFunctions(const VectorType & pt) const;

  virtual void ShapeFunctionDerivatives(const VectorType & pt, MatrixType & shapeD) const;

  virtual bool GetLocalFromGlobalCoordinates(const VectorType & GlobalPt, VectorType & LocalPt) const;

  // Since the Jacobian is not quadratic, we need to provide our
  // own implementation of calculating the determinant and inverse.
  virtual Float JacobianDeterminant(const VectorType & pt, const MatrixType *pJ = 0) const;

  virtual void JacobianInverse(const VectorType & pt, MatrixType & invJ, const MatrixType *pJ = 0) const;

protected:
  virtual void PrintSelf(std::ostream& os, Indent indent) const;

  virtual void PopulateEdgeIds(void);

};
}
}  // end namespace itk::fem

#endif  // #ifndef __itkFEMElement2DC0QuadraticTriangular_h