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/*=========================================================================
Program: Visualization Toolkit
Module: vtkTriQuadraticHexahedron.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 vtkTriQuadraticHexahedron - cell represents a parabolic, 27-node isoparametric hexahedron
// .SECTION Description
// vtkTriQuadraticHexahedron is a concrete implementation of vtkNonLinearCell to
// represent a three-dimensional, 27-node isoparametric triquadratic
// hexahedron. The interpolation is the standard finite element, triquadratic
// isoparametric shape function. The cell includes 8 edge nodes, 12 mid-edge nodes,
// 6 mid-face nodes and one mid-volume node. The ordering of the 27 points defining the
// cell is point ids (0-7,8-19, 20-25, 26)
// where point ids 0-7 are the eight corner vertices of the cube; followed by
// twelve midedge nodes (8-19); followed by 6 mid-face nodes (20-25) and the last node (26)
// is the mid-volume node. 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 mid-surface nodes lies on the faces
// defined by (first edge nodes id's, than mid-edge nodes id's):
// (0,1,5,4;8,17,12,16), (1,2,6,5;9,18,13,17), (2,3,7,6,10,19,14,18),
// (3,0,4,7;11,16,15,19), (0,1,2,3;8,9,10,11), (4,5,6,7;12,13,14,15).
// The last point lies in the center of the cell (0,1,2,3,4,5,6,7).
//
// \verbatim
//
// top
// 7--14--6
// | |
// 15 25 13
// | |
// 4--12--5
//
// middle
// 19--23--18
// | |
// 20 26 21
// | |
// 16--22--17
//
// bottom
// 3--10--2
// | |
// 11 24 9
// | |
// 0-- 8--1
//
// \endverbatim
//
// .SECTION See Also
// vtkQuadraticEdge vtkQuadraticTriangle vtkQuadraticTetra
// vtkQuadraticQuad vtkQuadraticPyramid vtkQuadraticWedge
// vtkBiQuadraticQuad
//
// .SECTION Thanks
// Thanks to Soeren Gebbert who developed this class and
// integrated it into VTK 5.0.
#ifndef __vtkTriQuadraticHexahedron_h
#define __vtkTriQuadraticHexahedron_h
#include "vtkNonLinearCell.h"
class vtkQuadraticEdge;
class vtkBiQuadraticQuad;
class vtkHexahedron;
class vtkDoubleArray;
class VTK_FILTERING_EXPORT vtkTriQuadraticHexahedron : public vtkNonLinearCell
{
public:
static vtkTriQuadraticHexahedron *New ();
vtkTypeMacro(vtkTriQuadraticHexahedron,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_TRIQUADRATIC_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 triquadratic 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 vtkTriQuadraticHexahedron::InterpolateFunctions as of VTK 5.2
static void InterpolationFunctions (double pcoords[3], double weights[27]);
// Description:
// @deprecated Replaced by vtkTriQuadraticHexahedron::InterpolateDerivs as of VTK 5.2
static void InterpolationDerivs (double pcoords[3], double derivs[81]);
// Description:
// Compute the interpolation functions/derivatives
// (aka shape functions/derivatives)
virtual void InterpolateFunctions (double pcoords[3], double weights[27])
{
vtkTriQuadraticHexahedron::InterpolationFunctions(pcoords,weights);
}
virtual void InterpolateDerivs (double pcoords[3], double derivs[81])
{
vtkTriQuadraticHexahedron::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[81]);
protected:
vtkTriQuadraticHexahedron ();
~vtkTriQuadraticHexahedron ();
vtkQuadraticEdge *Edge;
vtkBiQuadraticQuad *Face;
vtkHexahedron *Hex;
vtkDoubleArray *Scalars;
private:
vtkTriQuadraticHexahedron (const vtkTriQuadraticHexahedron &); // Not implemented.
void operator = (const vtkTriQuadraticHexahedron &); // Not implemented.
};
#endif
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