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/*=========================================================================
Program: Visualization Toolkit
Module: vtkBiQuadraticQuadraticHexahedron.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 vtkBiQuadraticQuadraticHexahedron - cell represents a biquadratic,
// 24-node isoparametric hexahedron
// .SECTION Description
// vtkBiQuadraticQuadraticHexahedron is a concrete implementation of vtkNonLinearCell to
// represent a three-dimensional, 24-node isoparametric biquadratic
// hexahedron. The interpolation is the standard finite element,
// biquadratic-quadratic
// isoparametric shape function. The cell includes mid-edge and center-face nodes. The
// ordering of the 24 points defining the cell is point ids (0-7,8-19, 20-23)
// where point ids 0-7 are the eight corner vertices of the cube; followed by
// twelve midedge nodes (8-19), nodes 20-23 are the center-face nodes. Note that
// these midedge nodes correspond lie
// on the edges defined by (0,1), (1,2), (2,3), (3,0), (4,5), (5,6), (6,7),
// (7,4), (0,4), (1,5), (2,6), (3,7). The center face nodes lieing in quad
// 22-(0,1,5,4), 21-(1,2,6,5), 23-(2,3,7,6) and 22-(3,0,4,7)
//
// \verbatim
//
// top
// 7--14--6
// | |
// 15 13
// | |
// 4--12--5
//
// middle
// 19--23--18
// | |
// 20 21
// | |
// 16--22--17
//
// bottom
// 3--10--2
// | |
// 11 9
// | |
// 0-- 8--1
//
// \endverbatim
//
//
// .SECTION See Also
// vtkQuadraticEdge vtkQuadraticTriangle vtkQuadraticTetra
// vtkQuadraticQuad vtkQuadraticPyramid vtkQuadraticWedge
//
// .SECTION Thanks
// Thanks to Soeren Gebbert who developed this class and
// integrated it into VTK 5.0.
#ifndef __vtkBiQuadraticQuadraticHexahedron_h
#define __vtkBiQuadraticQuadraticHexahedron_h
#include "vtkNonLinearCell.h"
class vtkQuadraticEdge;
class vtkQuadraticQuad;
class vtkBiQuadraticQuad;
class vtkHexahedron;
class vtkDoubleArray;
class VTK_FILTERING_EXPORT vtkBiQuadraticQuadraticHexahedron : public vtkNonLinearCell
{
public:
static vtkBiQuadraticQuadraticHexahedron *New();
vtkTypeMacro(vtkBiQuadraticQuadraticHexahedron,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_BIQUADRATIC_QUADRATIC_HEXAHEDRON;}
int GetCellDimension() {return 3;}
int GetNumberOfEdges() {return 12;}
int GetNumberOfFaces() {return 6;}
vtkCell *GetEdge(int);
vtkCell *GetFace(int);
int CellBoundary(int subId, double pcoords[3], vtkIdList *pts);
void Contour(double value, vtkDataArray *cellScalars,
vtkIncrementalPointLocator *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 biquadratic hexahedron using scalar value provided. Like
// contouring, except that it cuts the hex to produce linear
// tetrahedron.
void Clip(double value, vtkDataArray *cellScalars,
vtkIncrementalPointLocator *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:
// @deprecated Replaced by vtkBiQuadraticQuadraticHexahedron::InterpolateFunctions as of VTK 5.2
static void InterpolationFunctions(double pcoords[3], double weights[24]);
// Description:
// @deprecated Replaced by vtkBiQuadraticQuadraticHexahedron::InterpolateDerivs as of VTK 5.2
static void InterpolationDerivs(double pcoords[3], double derivs[72]);
// Description:
// Compute the interpolation functions/derivatives
// (aka shape functions/derivatives)
virtual void InterpolateFunctions(double pcoords[3], double weights[24])
{
vtkBiQuadraticQuadraticHexahedron::InterpolationFunctions(pcoords,weights);
}
virtual void InterpolateDerivs(double pcoords[3], double derivs[72])
{
vtkBiQuadraticQuadraticHexahedron::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[72]);
protected:
vtkBiQuadraticQuadraticHexahedron();
~vtkBiQuadraticQuadraticHexahedron();
vtkQuadraticEdge *Edge;
vtkQuadraticQuad *Face;
vtkBiQuadraticQuad *BiQuadFace;
vtkHexahedron *Hex;
vtkPointData *PointData;
vtkCellData *CellData;
vtkDoubleArray *CellScalars;
vtkDoubleArray *Scalars;
void Subdivide(vtkPointData *inPd, vtkCellData *inCd, vtkIdType cellId,
vtkDataArray *cellScalars);
private:
vtkBiQuadraticQuadraticHexahedron(const vtkBiQuadraticQuadraticHexahedron&); // Not implemented.
void operator=(const vtkBiQuadraticQuadraticHexahedron&); // Not implemented.
};
#endif
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