itkFEMElement3DC0LinearTriangular.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
*
* Unless required by applicable law or agreed to in writing, software
* 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.
*
*=========================================================================*/

#ifndef __itkFEMElement3DC0LinearTriangular_h
#define __itkFEMElement3DC0LinearTriangular_h

#include "itkFEMElementStd.h"

namespace itk
{
namespace fem
{
class Element3DC0LinearTriangular : public ElementStd<3, 3>
{
public:
  typedef Element3DC0LinearTriangular Self;
  typedef ElementStd<3, 3>            TemplatedParentClass;
  typedef TemplatedParentClass        Superclass;
  typedef SmartPointer<Self>          Pointer;
  typedef SmartPointer<const Self>    ConstPointer;

  itkTypeMacro(Element3DC0LinearTriangular, TemplatedParentClass);

// ////////////////////////////////////////////////////////////////////////
/*
 * Methods related to numeric integration
 */

  enum { DefaultIntegrationOrder = 1 };

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

  virtual unsigned int GetNumberOfIntegrationPoints(unsigned int order) const ITK_OVERRIDE;

  // ////////////////////////////////////////////////////////////////////////
  /*
   * Methods related to the geometry of an element
   */

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

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

  virtual bool GetLocalFromGlobalCoordinates(const VectorType & globalPt, VectorType & localPt) const ITK_OVERRIDE;

  virtual Float JacobianDeterminant(const VectorType & pt, const MatrixType *pJ = ITK_NULLPTR) const ITK_OVERRIDE;

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

  virtual void PopulateEdgeIds() ITK_OVERRIDE;

  void ComputeNormalDirection(const VectorType & v1, const VectorType & v2, const VectorType & v3,
                              VectorType & n) const;

  void GeneralizedProjectPoint(const VectorType & x, const VectorType & origin, const VectorType & normal,
                               VectorType & xproj) const;

  itk::fem::Element::Float Determinant2x2(const VectorType & c1, const VectorType & c2) const;

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

  static const unsigned int Nip[6];

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

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

#endif  // #ifndef __itkFEMElement3DC0LinearTriangular_h