itkTriangleCell.h

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/*=========================================================================
 *
 *  Copyright NumFOCUS
 *
 *  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
 *
 *         https://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 itkTriangleCell_h
#define itkTriangleCell_h
 
#include "itkLineCell.h"
#include "itkTriangleCellTopology.h"
#include "itkMakeFilled.h"
 
#include <array>
 
namespace itk
{
 
template <typename TCellInterface>
class ITK_TEMPLATE_EXPORT TriangleCell
  : public TCellInterface
  , private TriangleCellTopology
{
public:
  ITK_DISALLOW_COPY_AND_MOVE(TriangleCell);

  itkCellCommonTypedefs(TriangleCell);
  itkCellInheritedTypedefs(TCellInterface);

  itkOverrideGetNameOfClassMacro(TriangleCell);

  using VertexType = VertexCell<TCellInterface>;
  using VertexAutoPointer = typename VertexType::SelfAutoPointer;

  using EdgeType = LineCell<TCellInterface>;
  using EdgeAutoPointer = typename EdgeType::SelfAutoPointer;

  static constexpr unsigned int NumberOfPoints = 3;
  static constexpr unsigned int NumberOfVertices = 3;
  static constexpr unsigned int NumberOfEdges = 3;
  static constexpr unsigned int CellDimension = 2;
 
  // Standard CellInterface

  CellGeometryEnum
  GetType() const override
  {
    return CellGeometryEnum::TRIANGLE_CELL;
  }
  void
  MakeCopy(CellAutoPointer &) const override;

  unsigned int
  GetDimension() const override;

  unsigned int
  GetNumberOfPoints() const override;

  CellFeatureCount
  GetNumberOfBoundaryFeatures(int dimension) const override;

  bool
  GetBoundaryFeature(int dimension, CellFeatureIdentifier, CellAutoPointer &) override;

  void
  SetPointIds(PointIdConstIterator first) override;

  void
  SetPointIds(PointIdConstIterator first, PointIdConstIterator last) override;

  void
  SetPointId(int localId, PointIdentifier) override;

  PointIdIterator
  PointIdsBegin() override;

  PointIdConstIterator
  PointIdsBegin() const override;

  PointIdIterator
  PointIdsEnd() override;

  PointIdConstIterator
  PointIdsEnd() const override;
 
  // Triangle-specific interface

  virtual CellFeatureCount
  GetNumberOfVertices() const;

  virtual CellFeatureCount
  GetNumberOfEdges() const;

  virtual bool
  GetVertex(CellFeatureIdentifier, VertexAutoPointer &);

  virtual bool
  GetEdge(CellFeatureIdentifier, EdgeAutoPointer &);

  bool
  EvaluatePosition(CoordinateType *,
                   PointsContainer *,
                   CoordinateType *,
                   CoordinateType[],
                   double *,
                   InterpolationWeightType *) override;

  itkCellVisitMacro(CellGeometryEnum::TRIANGLE_CELL);

  CoordinateType
  ComputeArea(PointsContainer *);
 
  PointType
  ComputeBarycenter(CoordinateType *, PointsContainer *);
 
  PointType
  ComputeCenterOfGravity(PointsContainer *);
 
  PointType
  ComputeCircumCenter(PointsContainer *);
 
public:
  TriangleCell() = default;
  ~TriangleCell() override = default;
 
protected:
  std::array<PointIdentifier, NumberOfPoints> m_PointIds{ MakeFilled<std::array<PointIdentifier, NumberOfPoints>>(
    NumericTraits<PointIdentifier>::max()) };
 
private:
  double
  DistanceToLine(PointType x, PointType p1, PointType p2, double & t, CoordinateType * closestPoint);
 
  double
  DistanceToLine(PointType x, PointType p1, PointType p2, double & t, PointType & closestPoint);
};
} // end namespace itk
 
#ifndef ITK_MANUAL_INSTANTIATION
#  include "itkTriangleCell.hxx"
#endif
 
#endif