/*========================================================================= 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