/*========================================================================= 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. =========================================================================*/ /** * @class vtkBiQuadraticTriangle * @brief cell represents a parabolic, isoparametric triangle * * 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. * * @sa * vtkTriangle vtkQuadraticTriangle * vtkBiQuadraticQuad vtkBiQuadraticQuadraticWedge vtkBiQuadraticQuadraticHexahedron * @par Thanks: * * This file has been developed by Oxalya - www.oxalya.com * Copyright (c) EDF - www.edf.fr * */ #ifndef vtkBiQuadraticTriangle_h #define vtkBiQuadraticTriangle_h #include "vtkCommonDataModelModule.h" // For export macro #include "vtkNonLinearCell.h" class vtkQuadraticEdge; class vtkTriangle; class vtkDoubleArray; class VTKCOMMONDATAMODEL_EXPORT vtkBiQuadraticTriangle : public vtkNonLinearCell { public: static vtkBiQuadraticTriangle *New(); vtkTypeMacro(vtkBiQuadraticTriangle,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_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, 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(double x[3], double* closestPoint, int& subId, double pcoords[3], double& dist2, double *weights) override; void EvaluateLocation(int& subId, double pcoords[3], double x[3], double *weights) override; int Triangulate(int index, vtkIdList *ptIds, vtkPoints *pts) override; void Derivatives(int subId, double pcoords[3], 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(double p1[3], 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(double pcoords[3]) override; /** * @deprecated Replaced by vtkBiQuadraticTriangle::InterpolateFunctions as of VTK 5.2 */ static void InterpolationFunctions(double pcoords[3], double weights[7]); /** * @deprecated Replaced by vtkBiQuadraticTriangle::InterpolateDerivs as of VTK 5.2 */ static void InterpolationDerivs(double pcoords[3], double derivs[14]); //@{ /** * Compute the interpolation functions/derivatives * (aka shape functions/derivatives) */ void InterpolateFunctions(double pcoords[3], double weights[7]) override { vtkBiQuadraticTriangle::InterpolationFunctions(pcoords,weights); } void InterpolateDerivs(double pcoords[3], double derivs[14]) override { vtkBiQuadraticTriangle::InterpolationDerivs(pcoords,derivs); } //@} protected: vtkBiQuadraticTriangle(); ~vtkBiQuadraticTriangle() override; vtkQuadraticEdge *Edge; vtkTriangle *Face; vtkDoubleArray *Scalars; //used to avoid New/Delete in contouring/clipping private: vtkBiQuadraticTriangle(const vtkBiQuadraticTriangle&) = delete; void operator=(const vtkBiQuadraticTriangle&) = delete; }; //---------------------------------------------------------------------------- inline int vtkBiQuadraticTriangle::GetParametricCenter(double pcoords[3]) { pcoords[0] = pcoords[1] = 1./3; pcoords[2] = 0.0; return 0; } #endif