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/*=========================================================================
Program: Visualization Toolkit
Module: vtkBiQuadraticTriangle.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 vtkBiQuadraticTriangle - cell represents a parabolic, isoparametric triangle
// .SECTION Description
// vtkBiQuadraticTriangle is a concrete implementation of vtkNonLinearCell to
// represent a two-dimensional, 7-node, isoparametric parabolic triangle. The
// interpolation is the standard finite element, bi-quadratic isoparametric
// shape function. The cell includes three mid-edge nodes besides the three
// triangle vertices and a center node. The ordering of the three points defining the cell is
// point ids (0-2,3-6) where id #3 is the midedge node between points
// (0,1); id #4 is the midedge node between points (1,2); and id #5 is the
// midedge node between points (2,0). id #6 is the center node of the cell.
// .SECTION See Also
// vtkTriangle vtkQuadraticTriangle
// vtkBiQuadraticQuad vtkBiQuadraticQuadraticWedge vtkBiQuadraticQuadraticHexahedron
// .SECTION Thanks
// <verbatim>
// This file has been developed by Oxalya - www.oxalya.com
// Copyright (c) EDF - www.edf.fr
// </verbatim>
#ifndef __vtkBiQuadraticTriangle_h
#define __vtkBiQuadraticTriangle_h
#include "vtkNonLinearCell.h"
class vtkQuadraticEdge;
class vtkTriangle;
class vtkDoubleArray;
class VTK_FILTERING_EXPORT vtkBiQuadraticTriangle : public vtkNonLinearCell
{
public:
static vtkBiQuadraticTriangle *New();
vtkTypeMacro(vtkBiQuadraticTriangle,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_TRIANGLE;};
int GetCellDimension() {return 2;}
int GetNumberOfEdges() {return 3;}
int GetNumberOfFaces() {return 0;}
vtkCell *GetEdge(int edgeId);
vtkCell *GetFace(int) {return 0;}
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 triangle using scalar value provided. Like
// contouring, except that it cuts the triangle to produce linear
// triangles.
void Clip(double value, vtkDataArray *cellScalars,
vtkIncrementalPointLocator *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 quadratic triangle 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:
// @deprecated Replaced by vtkBiQuadraticTriangle::InterpolateFunctions as of VTK 5.2
static void InterpolationFunctions(double pcoords[3], double weights[7]);
// Description:
// @deprecated Replaced by vtkBiQuadraticTriangle::InterpolateDerivs as of VTK 5.2
static void InterpolationDerivs(double pcoords[3], double derivs[14]);
// Description:
// Compute the interpolation functions/derivatives
// (aka shape functions/derivatives)
virtual void InterpolateFunctions(double pcoords[3], double weights[7])
{
vtkBiQuadraticTriangle::InterpolationFunctions(pcoords,weights);
}
virtual void InterpolateDerivs(double pcoords[3], double derivs[14])
{
vtkBiQuadraticTriangle::InterpolationDerivs(pcoords,derivs);
}
protected:
vtkBiQuadraticTriangle();
~vtkBiQuadraticTriangle();
vtkQuadraticEdge *Edge;
vtkTriangle *Face;
vtkDoubleArray *Scalars; //used to avoid New/Delete in contouring/clipping
private:
vtkBiQuadraticTriangle(const vtkBiQuadraticTriangle&); // Not implemented.
void operator=(const vtkBiQuadraticTriangle&); // Not implemented.
};
//----------------------------------------------------------------------------
inline int vtkBiQuadraticTriangle::GetParametricCenter(double pcoords[3])
{
pcoords[0] = pcoords[1] = 1./3;
pcoords[2] = 0.0;
return 0;
}
#endif