itkFEMElement2DC0LinearQuadrilateral.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.
 *  You may obtain a copy of the License at
 *
 *         http://www.apache.org/licenses/LICENSE-2.0.txt
 *
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 *  distributed under the License is distributed on an "AS IS" BASIS,
 *  WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
 *  See the License for the specific language governing permissions and
 *  limitations under the License.
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 *=========================================================================*/

#ifndef __itkFEMElement2DC0LinearQuadrilateral_h
#define __itkFEMElement2DC0LinearQuadrilateral_h

#include "itkFEMElementStd.h"

namespace itk
{
namespace fem
{
class Element2DC0LinearQuadrilateral : public ElementStd<4, 2>
{
public:
  typedef Element2DC0LinearQuadrilateral Self;
  typedef ElementStd<4, 2>               TemplatedParentClass;
  typedef TemplatedParentClass           Superclass;
  typedef SmartPointer<Self>             Pointer;
  typedef SmartPointer<const Self>       ConstPointer;

  itkTypeMacro(Element2DC0LinearQuadrilateral, 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;

  void InterpolationFunctions( const VectorType & pcoords, VectorType & sf) const;

  void InterpolationDerivs(const VectorType & pcoords, VectorType & derivs) const;

  Float Determinant2x2(const VectorType & c1, const VectorType & c2) const;

protected:
  virtual void PopulateEdgeIds(void);

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

private:

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

#endif  // #ifndef __itkFEMElement2DC0LinearQuadrilateral_h