itkFEMElement2DC0LinearTriangular.h

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 *  Copyright Insight Software Consortium
 *
 *  Licensed under the Apache License, Version 2.0 (the "License");
 *  you may not use this file except in compliance with the License.
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 *  See the License for the specific language governing permissions and
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#ifndef __itkFEMElement2DC0LinearTriangular_h
#define __itkFEMElement2DC0LinearTriangular_h

#include "itkFEMElementStd.h"

namespace itk
{
namespace fem
{
class Element2DC0LinearTriangular : public ElementStd<3, 2>
{
public:

  typedef Element2DC0LinearTriangular Self;
  typedef ElementStd<3, 2>            TemplatedParentClass;
  typedef TemplatedParentClass        Superclass;
  typedef SmartPointer<Self>          Pointer;
  typedef SmartPointer<const Self>    ConstPointer;

  itkTypeMacro(Element2DC0LinearTriangular, TemplatedParentClass);

  // ////////////////////////////////////////////////////////////////////////
  enum { DefaultIntegrationOrder = 1 };

  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;

  static const Float trigGaussRuleInfo[6][7][4];

  static const unsigned int Nip[6];
protected:
  virtual void PopulateEdgeIds(void);

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

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

#endif  // #ifndef __itkFEMElement2DC0LinearTriangular_h