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/*=========================================================================
Program: Visualization Toolkit
Module: $RCSfile: vtkQuadraticTetra.h,v $
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 vtkQuadraticTetra - cell represents a parabolic, 10-node isoparametric tetrahedron
// .SECTION Description
// vtkQuadraticTetra is a concrete implementation of vtkNonLinearCell to
// represent a three-dimensional, 10-node, isoparametric parabolic
// tetrahedron. The interpolation is the standard finite element, quadratic
// isoparametric shape function. The cell includes a mid-edge node on each of
// the size edges of the tetrahedron. The ordering of the ten points defining
// the cell is point ids (0-3,4-9) where ids 0-3 are the four tetra
// vertices; and point ids 4-9 are the midedge nodes between (0,1), (1,2),
// (2,0), (0,3), (1,3), and (2,3).
//
// .SECTION See Also
// vtkQuadraticEdge vtkQuadraticTriangle vtkQuadraticWedge
// vtkQuadraticQuad vtkQuadraticHexahedron vtkQuadraticPyramid
#ifndef __vtkQuadraticTetra_h
#define __vtkQuadraticTetra_h
#include "vtkNonLinearCell.h"
class vtkPolyData;
class vtkQuadraticEdge;
class vtkQuadraticTriangle;
class vtkTetra;
class vtkDoubleArray;
class VTK_FILTERING_EXPORT vtkQuadraticTetra : public vtkNonLinearCell
{
public:
static vtkQuadraticTetra *New();
vtkTypeRevisionMacro(vtkQuadraticTetra,vtkNonLinearCell);
void PrintSelf(ostream& os, vtkIndent indent);
// Description:
// Implement the vtkCell API. See the vtkCell API for descriptions
// of these methods.
int GetCellType() {return VTK_QUADRATIC_TETRA;}
int GetCellDimension() {return 3;}
int GetNumberOfEdges() {return 6;}
int GetNumberOfFaces() {return 4;}
vtkCell *GetEdge(int);
vtkCell *GetFace(int);
int CellBoundary(int subId, double pcoords[3], vtkIdList *pts);
void Contour(double value, vtkDataArray *cellScalars,
vtkPointLocator *locator, vtkCellArray *verts,
vtkCellArray *lines, vtkCellArray *polys,
vtkPointData *inPd, vtkPointData *outPd,
vtkCellData *inCd, vtkIdType cellId, vtkCellData *outCd);
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 Triangulate(int index, vtkIdList *ptIds, vtkPoints *pts);
void Derivatives(int subId, double pcoords[3], double *values,
int dim, double *derivs);
virtual double *GetParametricCoords();
// Description:
// Clip this edge using scalar value provided. Like contouring, except
// that it cuts the tetra to produce new tetras.
void Clip(double value, vtkDataArray *cellScalars,
vtkPointLocator *locator, vtkCellArray *tetras,
vtkPointData *inPd, vtkPointData *outPd,
vtkCellData *inCd, vtkIdType cellId, vtkCellData *outCd,
int insideOut);
// Description:
// Line-edge intersection. Intersection has to occur within [0,1] parametric
// coordinates and with specified tolerance.
int IntersectWithLine(double p1[3], double p2[3], double tol, double& t,
double x[3], double pcoords[3], int& subId);
// Description:
// Return the center of the quadratic tetra in parametric coordinates.
int GetParametricCenter(double pcoords[3]);
// Description:
// Return the distance of the parametric coordinate provided to the
// cell. If inside the cell, a distance of zero is returned.
double GetParametricDistance(double pcoords[3]);
// Description:
// Quadratic tetra specific methods.
static void InterpolationFunctions(double pcoords[3], double weights[10]);
static void InterpolationDerivs(double pcoords[3], double derivs[30]);
// 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:
vtkQuadraticTetra();
~vtkQuadraticTetra();
vtkQuadraticEdge *Edge;
vtkQuadraticTriangle *Face;
vtkTetra *Tetra;
vtkDoubleArray *Scalars; //used to avoid New/Delete in contouring/clipping
private:
vtkQuadraticTetra(const vtkQuadraticTetra&); // Not implemented.
void operator=(const vtkQuadraticTetra&); // Not implemented.
};
#endif
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