/*========================================================================= Program: Visualization Toolkit Module: vtkBiQuadraticQuadraticWedge.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 vtkBiQuadraticQuadraticWedge * @brief cell represents a parabolic, 18-node isoparametric wedge * * vtkBiQuadraticQuadraticWedge is a concrete implementation of vtkNonLinearCell to * represent a three-dimensional, 18-node isoparametric biquadratic * wedge. The interpolation is the standard finite element, * biquadratic-quadratic isoparametric shape function plus the linear functions. * The cell includes a mid-edge node. The * ordering of the 18 points defining the cell is point ids (0-5,6-15, 16-18) * where point ids 0-5 are the six corner vertices of the wedge; followed by * nine midedge nodes (6-15) and 3 center-face nodes. Note that these midedge * nodes correspond lie * on the edges defined by (0,1), (1,2), (2,0), (3,4), (4,5), (5,3), (0,3), * (1,4), (2,5), and the center-face nodes are laying in quads 16-(0,1,4,3), * 17-(1,2,5,4) and (2,0,3,5). * * @sa * vtkQuadraticEdge vtkQuadraticTriangle vtkQuadraticTetra * vtkQuadraticHexahedron vtkQuadraticQuad vtkQuadraticPyramid * * @par Thanks: * Thanks to Soeren Gebbert who developed this class and * integrated it into VTK 5.0. */ #ifndef vtkBiQuadraticQuadraticWedge_h #define vtkBiQuadraticQuadraticWedge_h #include "vtkCommonDataModelModule.h" // For export macro #include "vtkNonLinearCell.h" class vtkQuadraticEdge; class vtkBiQuadraticQuad; class vtkQuadraticTriangle; class vtkWedge; class vtkDoubleArray; class VTKCOMMONDATAMODEL_EXPORT vtkBiQuadraticQuadraticWedge : public vtkNonLinearCell { public: static vtkBiQuadraticQuadraticWedge *New (); vtkTypeMacro(vtkBiQuadraticQuadraticWedge,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_QUADRATIC_WEDGE; } int GetCellDimension() override { return 3; } int GetNumberOfEdges() override { return 9; } int GetNumberOfFaces() override { return 5; } vtkCell *GetEdge (int edgeId) override; vtkCell *GetFace (int faceId) override; //@} 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 Wedge using scalar value provided. Like * contouring, except that it cuts the hex to produce linear * tetrahedron. */ void Clip (double value, vtkDataArray * cellScalars, vtkIncrementalPointLocator * locator, vtkCellArray * tetras, 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 wedge in parametric coordinates. */ int GetParametricCenter (double pcoords[3]) override; /** * @deprecated Replaced by vtkBiQuadraticQuadraticWedge::InterpolateFunctions as of VTK 5.2 */ static void InterpolationFunctions (double pcoords[3], double weights[15]); /** * @deprecated Replaced by vtkBiQuadraticQuadraticWedge::InterpolateDerivs as of VTK 5.2 */ static void InterpolationDerivs (double pcoords[3], double derivs[45]); //@{ /** * Compute the interpolation functions/derivatives * (aka shape functions/derivatives) */ void InterpolateFunctions (double pcoords[3], double weights[15]) override { vtkBiQuadraticQuadraticWedge::InterpolationFunctions(pcoords,weights); } void InterpolateDerivs (double pcoords[3], double derivs[45]) override { vtkBiQuadraticQuadraticWedge::InterpolationDerivs(pcoords,derivs); } //@} //@{ /** * Return the ids of the vertices defining edge/face (`edgeId`/`faceId'). * Ids are related to the cell, not to the dataset. */ static int *GetEdgeArray(int edgeId); static int *GetFaceArray(int faceId); //@} /** * Given parametric coordinates compute inverse Jacobian transformation * matrix. Returns 9 elements of 3x3 inverse Jacobian plus interpolation * function derivatives. */ void JacobianInverse (double pcoords[3], double **inverse, double derivs[45]); protected: vtkBiQuadraticQuadraticWedge (); ~vtkBiQuadraticQuadraticWedge () override; vtkQuadraticEdge *Edge; vtkQuadraticTriangle *TriangleFace; vtkBiQuadraticQuad *Face; vtkWedge *Wedge; vtkDoubleArray *Scalars; //used to avoid New/Delete in contouring/clipping private: vtkBiQuadraticQuadraticWedge (const vtkBiQuadraticQuadraticWedge &) = delete; void operator = (const vtkBiQuadraticQuadraticWedge &) = delete; }; //---------------------------------------------------------------------------- // Return the center of the quadratic wedge in parametric coordinates. inline int vtkBiQuadraticQuadraticWedge::GetParametricCenter(double pcoords[3]) { pcoords[0] = pcoords[1] = 1./3; pcoords[2] = 0.5; return 0; } #endif