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/*=========================================================================
Program: Visualization Toolkit
Module: $RCSfile: vtkQuadraticQuad.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 vtkQuadraticQuad - cell represents a parabolic, 8-node isoparametric quad
// .SECTION Description
// vtkQuadraticQuad is a concrete implementation of vtkNonLinearCell to
// represent a two-dimensional, 8-node isoparametric parabolic quadrilateral
// element. The interpolation is the standard finite element, quadratic
// isoparametric shape function. The cell includes a mid-edge node for each
// of the four edges of the cell. The ordering of the eight points defining
// the cell are point ids (0-3,4-7) where ids 0-3 define the four corner
// vertices of the quad; ids 4-7 define the midedge nodes (0,1), (1,2),
// (2,3), (3,0).
// .SECTION See Also
// vtkQuadraticEdge vtkQuadraticTriangle vtkQuadraticTetra
// vtkQuadraticHexahedron vtkQuadraticWedge vtkQuadraticPyramid
#ifndef __vtkQuadraticQuad_h
#define __vtkQuadraticQuad_h
#include "vtkNonLinearCell.h"
class vtkQuadraticEdge;
class vtkQuad;
class VTK_FILTERING_EXPORT vtkQuadraticQuad : public vtkNonLinearCell
{
public:
static vtkQuadraticQuad *New();
vtkTypeRevisionMacro(vtkQuadraticQuad,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_QUAD;};
int GetCellDimension() {return 2;}
int GetNumberOfEdges() {return 4;}
int GetNumberOfFaces() {return 0;}
vtkCell *GetEdge(int);
vtkCell *GetFace(int) {return 0;}
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 quadratic quad using scalar value provided. Like contouring,
// except that it cuts the quad to produce linear triangles.
void Clip(double value, vtkDataArray *cellScalars,
vtkPointLocator *locator, vtkCellArray *polys,
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 pyramid in parametric coordinates.
int GetParametricCenter(double pcoords[3]);
// Description:
// Quadratic quad specific methods.
static void InterpolationFunctions(double pcoords[3], double weights[8]);
static void InterpolationDerivs(double pcoords[3], double derivs[16]);
protected:
vtkQuadraticQuad();
~vtkQuadraticQuad();
vtkQuadraticEdge *Edge;
vtkQuad *Quad;
vtkPointData *PointData;
vtkDoubleArray *Scalars;
// In order to achieve some functionality we introduce a fake center point
// which require to have some extra functionalities compare to other non-linar
// cells
vtkCellData *CellData;
vtkDoubleArray *CellScalars;
void Subdivide(double *weights);
void InterpolateAttributes(vtkPointData *inPd, vtkCellData *inCd, vtkIdType cellId,
vtkDataArray *cellScalars);
private:
vtkQuadraticQuad(const vtkQuadraticQuad&); // Not implemented.
void operator=(const vtkQuadraticQuad&); // Not implemented.
};
//----------------------------------------------------------------------------
inline int vtkQuadraticQuad::GetParametricCenter(double pcoords[3])
{
pcoords[0] = pcoords[1] = 0.5;
pcoords[2] = 0.;
return 0;
}
#endif
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