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/*=========================================================================
Program: Visualization Toolkit
Module: vtkBiQuadraticQuad.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 vtkBiQuadraticQuad
* @brief cell represents a parabolic, 9-node
* isoparametric quad
*
* vtkQuadraticQuad is a concrete implementation of vtkNonLinearCell to
* represent a two-dimensional, 9-node isoparametric parabolic quadrilateral
* element with a Centerpoint. 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 and a center node at
* the surface. The ordering of the eight points defining the cell are point
* ids (0-3,4-8) 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) and 8 define
* the face center node.
*
* @sa
* vtkQuadraticEdge vtkQuadraticTriangle vtkQuadraticTetra
* vtkQuadraticHexahedron vtkQuadraticWedge vtkQuadraticPyramid
* vtkQuadraticQuad
*
* @par Thanks:
* Thanks to Soeren Gebbert who developed this class and
* integrated it into VTK 5.0.
*/
#ifndef vtkBiQuadraticQuad_h
#define vtkBiQuadraticQuad_h
#include "vtkCommonDataModelModule.h" // For export macro
#include "vtkNonLinearCell.h"
class vtkQuadraticEdge;
class vtkQuad;
class vtkTriangle;
class vtkDoubleArray;
class VTKCOMMONDATAMODEL_EXPORT vtkBiQuadraticQuad : public vtkNonLinearCell
{
public:
static vtkBiQuadraticQuad* New();
vtkTypeMacro(vtkBiQuadraticQuad, 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_BIQUADRATIC_QUAD; }
int GetCellDimension() override { return 2; }
int GetNumberOfEdges() override { return 4; }
int GetNumberOfFaces() override { return 0; }
vtkCell* GetEdge(int) override;
vtkCell* GetFace(int) override { return nullptr; }
int CellBoundary(int subId, const double pcoords[3], vtkIdList* pts) override;
int EvaluatePosition(const double x[3], double* closestPoint, 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;
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;
/**
* Clip this biquadratic quad using scalar value provided. Like contouring,
* except that it cuts the twi quads 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 pyramid in parametric coordinates.
*/
int GetParametricCenter(double pcoords[3]) override;
void InterpolateFunctions(const double pcoords[3], double weights[9]) override
{
vtkBiQuadraticQuad::InterpolationFunctionsPrivate(pcoords, weights);
}
void InterpolateDerivs(const double pcoords[3], double derivs[18]) override
{
vtkBiQuadraticQuad::InterpolationDerivsPrivate(pcoords, derivs);
}
//@}
protected:
vtkBiQuadraticQuad();
~vtkBiQuadraticQuad() override;
vtkQuadraticEdge* Edge;
vtkQuad* Quad;
vtkTriangle* Triangle;
vtkDoubleArray* Scalars;
private:
vtkBiQuadraticQuad(const vtkBiQuadraticQuad&) = delete;
void operator=(const vtkBiQuadraticQuad&) = delete;
static void InterpolationFunctionsPrivate(const double pcoords[3], double weights[9]);
static void InterpolationDerivsPrivate(const double pcoords[3], double derivs[18]);
};
//----------------------------------------------------------------------------
inline int vtkBiQuadraticQuad::GetParametricCenter(double pcoords[3])
{
pcoords[0] = pcoords[1] = 0.5;
pcoords[2] = 0.;
return 0;
}
#endif
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