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Program: Visualization Toolkit
Module: vtkBiQuadraticQuadraticWedge.h
Copyright (c) Ken Martin, Will Schroeder, Bill Lorensen
All rights reserved.
See Copyright.txt or for details.
This software is distributed WITHOUT ANY WARRANTY; without even
PURPOSE. See the above copyright notice for more information.
// .NAME vtkBiQuadraticQuadraticWedge - cell represents a parabolic, 18-node isoparametric wedge
// .SECTION Description
// vtkBiQuadraticQuadraticWedge is a concrete implementation of vtkNonLinearCell to
// represent a three-dimensional, 18-node isoparametric biquadratic
// wedge. The interpolation is the standard finite element,
// biquadratic-quadratic isoparametric shape function plus the linear functions.
// The cell includes a mid-edge node. The
// ordering of the 18 points defining the cell is point ids (0-5,6-15, 16-18)
// where point ids 0-5 are the six corner vertices of the wedge; followed by
// nine midedge nodes (6-15) and 3 center-face nodes. Note that these midedge
// nodes correspond lie
// on the edges defined by (0,1), (1,2), (2,0), (3,4), (4,5), (5,3), (0,3),
// (1,4), (2,5), and the center-face nodes are lieing in quads 16-(0,1,4,3),
// 17-(1,2,5,4) and (2,0,3,5).
// .SECTION See Also
// vtkQuadraticEdge vtkQuadraticTriangle vtkQuadraticTetra
// vtkQuadraticHexahedron vtkQuadraticQuad vtkQuadraticPyramid
// .SECTION Thanks
// Thanks to Soeren Gebbert who developed this class and
// integrated it into VTK 5.0.
#ifndef __vtkBiQuadraticQuadraticWedge_h
#define __vtkBiQuadraticQuadraticWedge_h
#include "vtkNonLinearCell.h"
class vtkQuadraticEdge;
class vtkBiQuadraticQuad;
class vtkQuadraticTriangle;
class vtkWedge;
class vtkDoubleArray;
class VTK_FILTERING_EXPORT vtkBiQuadraticQuadraticWedge : public vtkNonLinearCell
static vtkBiQuadraticQuadraticWedge *New ();
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_WEDGE; }
int GetCellDimension () { return 3; }
int GetNumberOfEdges () { return 9; }
int GetNumberOfFaces () { return 5; }
vtkCell *GetEdge (int edgeId);
vtkCell *GetFace (int faceId);
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 quadratic Wedge 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:
// Return the center of the quadratic wedge in parametric coordinates.
int GetParametricCenter (double pcoords[3]);
// Description:
// @deprecated Replaced by vtkBiQuadraticQuadraticWedge::InterpolateFunctions as of VTK 5.2
static void InterpolationFunctions (double pcoords[3], double weights[15]);
// Description:
// @deprecated Replaced by vtkBiQuadraticQuadraticWedge::InterpolateDerivs as of VTK 5.2
static void InterpolationDerivs (double pcoords[3], double derivs[45]);
// Description:
// Compute the interpolation functions/derivatives
// (aka shape functions/derivatives)
virtual void InterpolateFunctions (double pcoords[3], double weights[15])
virtual void InterpolateDerivs (double pcoords[3], double derivs[45])
// 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[45]);
vtkBiQuadraticQuadraticWedge ();
~vtkBiQuadraticQuadraticWedge ();
vtkQuadraticEdge *Edge;
vtkQuadraticTriangle *TriangleFace;
vtkBiQuadraticQuad *Face;
vtkWedge *Wedge;
vtkDoubleArray *Scalars; //used to avoid New/Delete in contouring/clipping
vtkBiQuadraticQuadraticWedge (const vtkBiQuadraticQuadraticWedge &); // Not implemented.
void operator = (const vtkBiQuadraticQuadraticWedge &); // Not implemented.
// Return the center of the quadratic wedge in parametric coordinates.
inline int vtkBiQuadraticQuadraticWedge::GetParametricCenter(double pcoords[3])
pcoords[0] = pcoords[1] = 1./3;
pcoords[2] = 0.5;
return 0;