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189 lines
7.0 KiB
C++
189 lines
7.0 KiB
C++
/*=========================================================================
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Program: Visualization Toolkit
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Module: vtkQuadraticPyramid.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 vtkQuadraticPyramid
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* @brief cell represents a parabolic, 13-node isoparametric pyramid
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*
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* vtkQuadraticPyramid is a concrete implementation of vtkNonLinearCell to
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* represent a three-dimensional, 13-node isoparametric parabolic
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* pyramid. The interpolation is the standard finite element, quadratic
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* isoparametric shape function. The cell includes a mid-edge node. The
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* ordering of the thirteen points defining the cell is point ids (0-4,5-12)
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* where point ids 0-4 are the five corner vertices of the pyramid; followed
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* by eight midedge nodes (5-12). Note that these midedge nodes lie
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* on the edges defined by (0,1), (1,2), (2,3), (3,0), (0,4), (1,4), (2,4),
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* (3,4), respectively. The parametric location of vertex #4 is [0, 0, 1].
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*
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* @sa
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* vtkQuadraticEdge vtkQuadraticTriangle vtkQuadraticTetra
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* vtkQuadraticHexahedron vtkQuadraticQuad vtkQuadraticWedge
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*
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* @par Thanks:
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* The shape functions and derivatives could be implemented thanks to
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* the report Pyramid Solid Elements Linear and Quadratic Iso-P Models
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* From Center For Aerospace Structures
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*/
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#ifndef vtkQuadraticPyramid_h
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#define vtkQuadraticPyramid_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 vtkQuadraticQuad;
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class vtkQuadraticTriangle;
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class vtkTetra;
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class vtkPyramid;
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class vtkDoubleArray;
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class VTKCOMMONDATAMODEL_EXPORT vtkQuadraticPyramid : public vtkNonLinearCell
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{
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public:
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static vtkQuadraticPyramid* New();
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vtkTypeMacro(vtkQuadraticPyramid, 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_PYRAMID; }
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int GetCellDimension() override { return 3; }
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int GetNumberOfEdges() override { return 8; }
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int GetNumberOfFaces() override { return 5; }
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vtkCell* GetEdge(int edgeId) override;
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vtkCell* GetFace(int faceId) override;
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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* tets, 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 pyramid in parametric coordinates.
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*/
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int GetParametricCenter(double pcoords[3]) override;
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static void InterpolationFunctions(const double pcoords[3], double weights[13]);
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static void InterpolationDerivs(const double pcoords[3], double derivs[39]);
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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[13]) override
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{
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vtkQuadraticPyramid::InterpolationFunctions(pcoords, weights);
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}
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void InterpolateDerivs(const double pcoords[3], double derivs[39]) override
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{
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vtkQuadraticPyramid::InterpolationDerivs(pcoords, derivs);
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}
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//@}
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//@{
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/**
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* Return the ids of the vertices defining edge/face (`edgeId`/`faceId').
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* Ids are related to the cell, not to the dataset.
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*
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* @note The return type changed. It used to be int*, it is now const vtkIdType*.
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* This is so ids are unified between vtkCell and vtkPoints.
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*/
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static const vtkIdType* GetEdgeArray(vtkIdType edgeId);
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static const vtkIdType* GetFaceArray(vtkIdType faceId);
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//@}
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/**
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* Given parametric coordinates compute inverse Jacobian transformation
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* matrix. Returns 9 elements of 3x3 inverse Jacobian plus interpolation
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* function derivatives.
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*/
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void JacobianInverse(const double pcoords[3], double** inverse, double derivs[39]);
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protected:
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vtkQuadraticPyramid();
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~vtkQuadraticPyramid() override;
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vtkQuadraticEdge* Edge;
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vtkQuadraticTriangle* TriangleFace;
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vtkQuadraticQuad* Face;
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vtkTetra* Tetra;
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vtkPyramid* Pyramid;
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vtkPointData* PointData;
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vtkCellData* CellData;
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vtkDoubleArray* CellScalars;
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vtkDoubleArray* Scalars; // used to avoid New/Delete in contouring/clipping
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//@{
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/**
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* This method adds in a point at the center of the quadrilateral face
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* and then interpolates values to that point. In order to do this it
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* also resizes certain member variable arrays. For safety should call
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* ResizeArrays() after the results of Subdivide() are not needed anymore.
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**/
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void Subdivide(
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vtkPointData* inPd, vtkCellData* inCd, vtkIdType cellId, vtkDataArray* cellScalars);
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//@}
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//@{
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/**
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* Resize the superclasses' member arrays to newSize where newSize should either be
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* 13 or 14. Call with 13 to reset the reallocation done in the Subdivide()
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* method or call with 14 to add one extra tuple for the generated point in
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* Subdivice. For efficiency it only resizes the superclasses' arrays.
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**/
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void ResizeArrays(vtkIdType newSize);
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//@}
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private:
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vtkQuadraticPyramid(const vtkQuadraticPyramid&) = delete;
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void operator=(const vtkQuadraticPyramid&) = delete;
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};
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//----------------------------------------------------------------------------
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// Return the center of the quadratic pyramid in parametric coordinates.
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//
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inline int vtkQuadraticPyramid::GetParametricCenter(double pcoords[3])
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{
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pcoords[0] = pcoords[1] = 6.0 / 13.0;
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pcoords[2] = 3.0 / 13.0;
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return 0;
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}
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#endif
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