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/*=========================================================================
Program: Visualization Toolkit
Module: vtkPentagonalPrism.h
Copyright (c) Ken Martin, Will Schroeder, Bill Lorensen
All rights reserved.
See Copyright.txt or http://www.kitware.com/Copyright.htm for details.
This software is distributed WITHOUT ANY WARRANTY; without even
the implied warranty of MERCHANTABILITY or FITNESS FOR A PARTICULAR
PURPOSE. See the above copyright notice for more information.
=========================================================================*/
// .NAME vtkPentagonalPrism - a 3D cell that represents a prism with
// pentagonal base
// .SECTION Description
// vtkPentagonalPrism is a concrete implementation of vtkCell to represent a
// linear 3D prism with pentagonal base. Such prism is defined by the ten points (0-9)
// where (0,1,2,3,4) is the base of the prism which, using the right hand
// rule, forms a pentagon whose normal points is in the direction of the
// opposite face (5,6,7,8,9).
// .SECTION Thanks
// Thanks to Philippe Guerville who developed this class.
// Thanks to Charles Pignerol (CEA-DAM, France) who ported this class under
// VTK 4. <br>
// Thanks to Jean Favre (CSCS, Switzerland) who contributed to integrate this
// class in VTK. <br>
// Please address all comments to Jean Favre (jfavre at cscs.ch).
//
// The Interpolation functions and derivatives were changed in June
// 2015 by Bill Lorensen. These changes follow the formulation in:
// http://dilbert.engr.ucdavis.edu/~suku/nem/papers/polyelas.pdf
// NOTE: An additional copy of this paper is located at:
// http://www.vtk.org/Wiki/File:ApplicationOfPolygonalFiniteElementsInLinearElasticity.pdf
#ifndef vtkPentagonalPrism_h
#define vtkPentagonalPrism_h
#include "vtkCommonDataModelModule.h" // For export macro
#include "vtkCell3D.h"
class vtkLine;
class vtkPolygon;
class vtkQuad;
class vtkTriangle;
class VTKCOMMONDATAMODEL_EXPORT vtkPentagonalPrism : public vtkCell3D
{
public:
static vtkPentagonalPrism *New();
vtkTypeMacro(vtkPentagonalPrism,vtkCell3D);
void PrintSelf(ostream& os, vtkIndent indent);
// Description:
// See vtkCell3D API for description of these methods.
virtual void GetEdgePoints(int edgeId, int* &pts);
virtual void GetFacePoints(int faceId, int* &pts);
// Description:
// See the vtkCell3D API for descriptions of these methods.
int GetCellType() {return VTK_PENTAGONAL_PRISM;};
int GetCellDimension() {return 3;};
int GetNumberOfEdges() {return 15;};
int GetNumberOfFaces() {return 7;};
vtkCell *GetEdge(int edgeId);
vtkCell *GetFace(int faceId);
int CellBoundary(int subId, double pcoords[3], vtkIdList *pts);
int EvaluatePosition(double x[3], double* closestPoint,
int& subId, double pcoords[3],
double& dist2, double *weights);
void EvaluateLocation(int& subId, double pcoords[3], double x[3],
double *weights);
int IntersectWithLine(double p1[3], double p2[3], double tol, double& t,
double x[3], double pcoords[3], int& subId);
int Triangulate(int index, vtkIdList *ptIds, vtkPoints *pts);
void Derivatives(int subId, double pcoords[3], double *values,
int dim, double *derivs);
double *GetParametricCoords();
// Description:
// Return the center of the wedge in parametric coordinates.
int GetParametricCenter(double pcoords[3]);
// Description:
// @deprecated Replaced by vtkPentagonalPrism::InterpolateFunctions as of VTK 5.2
static void InterpolationFunctions(double pcoords[3], double weights[10]);
// Description:
// @deprecated Replaced by vtkPentagonalPrism::InterpolateDerivs as of VTK 5.2
static void InterpolationDerivs(double pcoords[3], double derivs[30]);
// Description:
// Compute the interpolation functions/derivatives
// (aka shape functions/derivatives)
virtual void InterpolateFunctions(double pcoords[3], double weights[10])
{
vtkPentagonalPrism::InterpolationFunctions(pcoords, weights);
}
virtual void InterpolateDerivs(double pcoords[3], double derivs[30])
{
vtkPentagonalPrism::InterpolationDerivs(pcoords, derivs);
}
// Description:
// Return the ids of the vertices defining edge/face (`edgeId`/`faceId').
// Ids are related to the cell, not to the dataset.
static int *GetEdgeArray(int edgeId);
static int *GetFaceArray(int faceId);
// Description:
// Given parametric coordinates compute inverse Jacobian transformation
// matrix. Returns 9 elements of 3x3 inverse Jacobian plus interpolation
// function derivatives.
void JacobianInverse(double pcoords[3], double **inverse, double derivs[30]);
protected:
vtkPentagonalPrism();
~vtkPentagonalPrism();
vtkLine *Line;
vtkQuad *Quad;
vtkPolygon *Polygon;
vtkTriangle *Triangle;
private:
vtkPentagonalPrism(const vtkPentagonalPrism&); // Not implemented.
void operator=(const vtkPentagonalPrism&); // Not implemented.
};
//----------------------------------------------------------------------------
inline int vtkPentagonalPrism::GetParametricCenter(double pcoords[3])
{
pcoords[0] = pcoords[1] = 0.5;
pcoords[2] = 0.5;
return 0;
}
#endif
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