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vtkQuadraticTriangle.h
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vtkQuadraticTriangle.h
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/*=========================================================================
Program: Visualization Toolkit
Module: vtkQuadraticTriangle.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.
=========================================================================*/
/**
* @class vtkQuadraticTriangle
* @brief cell represents a parabolic, isoparametric triangle
*
* vtkQuadraticTriangle is a concrete implementation of vtkNonLinearCell to
* represent a two-dimensional, 6-node, isoparametric parabolic triangle. The
* interpolation is the standard finite element, quadratic isoparametric
* shape function. The cell includes three mid-edge nodes besides the three
* triangle vertices. The ordering of the three points defining the cell is
* point ids (0-2,3-5) 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).
*
* @sa
* vtkQuadraticEdge vtkQuadraticTetra vtkQuadraticPyramid
* vtkQuadraticQuad vtkQuadraticHexahedron vtkQuadraticWedge
*/
#ifndef vtkQuadraticTriangle_h
#define vtkQuadraticTriangle_h
#include "vtkCommonDataModelModule.h" // For export macro
#include "vtkNonLinearCell.h"
class vtkQuadraticEdge;
class vtkTriangle;
class vtkDoubleArray;
class VTKCOMMONDATAMODEL_EXPORT vtkQuadraticTriangle : public vtkNonLinearCell
{
public:
static vtkQuadraticTriangle *New();
vtkTypeMacro(vtkQuadraticTriangle,vtkNonLinearCell);
void PrintSelf(ostream& os, vtkIndent indent) override;
//@{
/**
* Implement the vtkCell API. See the vtkCell API for descriptions
* of these methods.
*/
int GetCellType() override {return VTK_QUADRATIC_TRIANGLE;};
int GetCellDimension() override {return 2;}
int GetNumberOfEdges() override {return 3;}
int GetNumberOfFaces() override {return 0;}
vtkCell *GetEdge(int edgeId) override;
vtkCell *GetFace(int) override {return nullptr;}
//@}
int CellBoundary(int subId, const double pcoords[3], vtkIdList *pts) override;
void Contour(double value, vtkDataArray *cellScalars,
vtkIncrementalPointLocator *locator, vtkCellArray *verts,
vtkCellArray *lines, vtkCellArray *polys,
vtkPointData *inPd, vtkPointData *outPd,
vtkCellData *inCd, vtkIdType cellId, vtkCellData *outCd) override;
int EvaluatePosition(const double x[3], double closestPoint[3],
int& subId, double pcoords[3],
double& dist2, double weights[]) override;
void EvaluateLocation(int& subId, const double pcoords[3], double x[3],
double *weights) override;
int Triangulate(int index, vtkIdList *ptIds, vtkPoints *pts) override;
void Derivatives(int subId, const double pcoords[3], const double *values,
int dim, double *derivs) override;
double *GetParametricCoords() override;
/**
* 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) override;
/**
* Line-edge intersection. Intersection has to occur within [0,1] parametric
* coordinates and with specified tolerance.
*/
int IntersectWithLine(const double p1[3], const double p2[3], double tol, double& t,
double x[3], double pcoords[3], int& subId) override;
/**
* Return the center of the quadratic triangle in parametric coordinates.
*/
int GetParametricCenter(double pcoords[3]) override;
/**
* Return the distance of the parametric coordinate provided to the
* cell. If inside the cell, a distance of zero is returned.
*/
double GetParametricDistance(const double pcoords[3]) override;
/**
* @deprecated Replaced by vtkQuadraticTriangle::InterpolateFunctions as of VTK 5.2
*/
static void InterpolationFunctions(const double pcoords[3], double weights[6]);
/**
* @deprecated Replaced by vtkQuadraticTriangle::InterpolateDerivs as of VTK 5.2
*/
static void InterpolationDerivs(const double pcoords[3], double derivs[12]);
//@{
/**
* Compute the interpolation functions/derivatives
* (aka shape functions/derivatives)
*/
void InterpolateFunctions(const double pcoords[3], double weights[6]) override
{
vtkQuadraticTriangle::InterpolationFunctions(pcoords,weights);
}
void InterpolateDerivs(const double pcoords[3], double derivs[12]) override
{
vtkQuadraticTriangle::InterpolationDerivs(pcoords,derivs);
}
//@}
protected:
vtkQuadraticTriangle();
~vtkQuadraticTriangle() override;
vtkQuadraticEdge *Edge;
vtkTriangle *Face;
vtkDoubleArray *Scalars; //used to avoid New/Delete in contouring/clipping
private:
vtkQuadraticTriangle(const vtkQuadraticTriangle&) = delete;
void operator=(const vtkQuadraticTriangle&) = delete;
};
//----------------------------------------------------------------------------
inline int vtkQuadraticTriangle::GetParametricCenter(double pcoords[3])
{
pcoords[0] = pcoords[1] = 1./3;
pcoords[2] = 0.0;
return 0;
}
#endif