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140 lines
5.2 KiB
C
140 lines
5.2 KiB
C
3 weeks ago
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/*=========================================================================
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Program: Visualization Toolkit
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Module: vtkQuadraticTriangle.h
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Copyright (c) Ken Martin, Will Schroeder, Bill Lorensen
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All rights reserved.
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See Copyright.txt or http://www.kitware.com/Copyright.htm for details.
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This software is distributed WITHOUT ANY WARRANTY; without even
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the implied warranty of MERCHANTABILITY or FITNESS FOR A PARTICULAR
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PURPOSE. See the above copyright notice for more information.
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=========================================================================*/
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/**
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* @class vtkQuadraticTriangle
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* @brief cell represents a parabolic, isoparametric triangle
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*
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* vtkQuadraticTriangle is a concrete implementation of vtkNonLinearCell to
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* represent a two-dimensional, 6-node, isoparametric parabolic triangle. The
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* interpolation is the standard finite element, quadratic isoparametric
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* shape function. The cell includes three mid-edge nodes besides the three
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* triangle vertices. The ordering of the three points defining the cell is
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* point ids (0-2,3-5) where id #3 is the midedge node between points
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* (0,1); id #4 is the midedge node between points (1,2); and id #5 is the
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* midedge node between points (2,0).
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*
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* @sa
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* vtkQuadraticEdge vtkQuadraticTetra vtkQuadraticPyramid
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* vtkQuadraticQuad vtkQuadraticHexahedron vtkQuadraticWedge
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*/
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#ifndef vtkQuadraticTriangle_h
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#define vtkQuadraticTriangle_h
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#include "vtkCommonDataModelModule.h" // For export macro
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#include "vtkNonLinearCell.h"
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class vtkQuadraticEdge;
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class vtkTriangle;
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class vtkDoubleArray;
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class VTKCOMMONDATAMODEL_EXPORT vtkQuadraticTriangle : public vtkNonLinearCell
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{
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public:
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static vtkQuadraticTriangle* New();
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vtkTypeMacro(vtkQuadraticTriangle, vtkNonLinearCell);
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void PrintSelf(ostream& os, vtkIndent indent) override;
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//@{
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/**
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* Implement the vtkCell API. See the vtkCell API for descriptions
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* of these methods.
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*/
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int GetCellType() override { return VTK_QUADRATIC_TRIANGLE; }
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int GetCellDimension() override { return 2; }
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int GetNumberOfEdges() override { return 3; }
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int GetNumberOfFaces() override { return 0; }
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vtkCell* GetEdge(int edgeId) override;
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vtkCell* GetFace(int) override { return nullptr; }
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//@}
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int CellBoundary(int subId, const double pcoords[3], vtkIdList* pts) override;
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void Contour(double value, vtkDataArray* cellScalars, vtkIncrementalPointLocator* locator,
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vtkCellArray* verts, vtkCellArray* lines, vtkCellArray* polys, vtkPointData* inPd,
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vtkPointData* outPd, vtkCellData* inCd, vtkIdType cellId, vtkCellData* outCd) override;
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int EvaluatePosition(const double x[3], double closestPoint[3], int& subId, double pcoords[3],
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double& dist2, double weights[]) override;
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void EvaluateLocation(int& subId, const double pcoords[3], double x[3], double* weights) override;
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int Triangulate(int index, vtkIdList* ptIds, vtkPoints* pts) override;
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void Derivatives(
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int subId, const double pcoords[3], const double* values, int dim, double* derivs) override;
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double* GetParametricCoords() override;
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/**
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* Clip this quadratic triangle using scalar value provided. Like
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* contouring, except that it cuts the triangle to produce linear
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* triangles.
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*/
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void Clip(double value, vtkDataArray* cellScalars, vtkIncrementalPointLocator* locator,
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vtkCellArray* polys, vtkPointData* inPd, vtkPointData* outPd, vtkCellData* inCd,
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vtkIdType cellId, vtkCellData* outCd, int insideOut) override;
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/**
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* Line-edge intersection. Intersection has to occur within [0,1] parametric
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* coordinates and with specified tolerance.
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*/
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int IntersectWithLine(const double p1[3], const double p2[3], double tol, double& t, double x[3],
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double pcoords[3], int& subId) override;
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/**
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* Return the center of the quadratic triangle in parametric coordinates.
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*/
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int GetParametricCenter(double pcoords[3]) override;
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/**
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* Return the distance of the parametric coordinate provided to the
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* cell. If inside the cell, a distance of zero is returned.
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*/
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double GetParametricDistance(const double pcoords[3]) override;
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static void InterpolationFunctions(const double pcoords[3], double weights[6]);
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static void InterpolationDerivs(const double pcoords[3], double derivs[12]);
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//@{
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/**
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* Compute the interpolation functions/derivatives
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* (aka shape functions/derivatives)
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*/
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void InterpolateFunctions(const double pcoords[3], double weights[6]) override
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{
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vtkQuadraticTriangle::InterpolationFunctions(pcoords, weights);
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}
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void InterpolateDerivs(const double pcoords[3], double derivs[12]) override
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{
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vtkQuadraticTriangle::InterpolationDerivs(pcoords, derivs);
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}
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//@}
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protected:
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vtkQuadraticTriangle();
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~vtkQuadraticTriangle() override;
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vtkQuadraticEdge* Edge;
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vtkTriangle* Face;
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vtkDoubleArray* Scalars; // used to avoid New/Delete in contouring/clipping
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private:
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vtkQuadraticTriangle(const vtkQuadraticTriangle&) = delete;
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void operator=(const vtkQuadraticTriangle&) = delete;
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};
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//----------------------------------------------------------------------------
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inline int vtkQuadraticTriangle::GetParametricCenter(double pcoords[3])
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{
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pcoords[0] = pcoords[1] = 1. / 3;
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pcoords[2] = 0.0;
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return 0;
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}
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#endif
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