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// SPDX-FileCopyrightText: Copyright (c) Ken Martin, Will Schroeder, Bill Lorensen
// SPDX-License-Identifier: BSD-3-Clause
/**
* @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"
VTK_ABI_NAMESPACE_BEGIN
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 TriangulateLocalIds(int index, vtkIdList* ptIds) 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;
static void InterpolationFunctions(const double pcoords[3], double weights[6]);
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;
}
VTK_ABI_NAMESPACE_END
#endif
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