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166 lines
6.2 KiB
C
166 lines
6.2 KiB
C
3 weeks ago
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/*=========================================================================
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Program: Visualization Toolkit
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Module: vtkQuadraticWedge.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 vtkQuadraticWedge
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* @brief cell represents a parabolic, 15-node isoparametric wedge
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*
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* vtkQuadraticWedge is a concrete implementation of vtkNonLinearCell to
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* represent a three-dimensional, 15-node isoparametric parabolic
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* wedge. 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 fifteen points defining the cell is point ids (0-5,6-14)
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* where point ids 0-5 are the six corner vertices of the wedge, defined
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* analogously to the six points in vtkWedge (points (0,1,2) form the base of
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* the wedge which, using the right hand rule, forms a triangle whose normal
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* points away from the triangular face (3,4,5)); followed by nine midedge
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* nodes (6-14). Note that these midedge nodes correspond lie on the edges
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* defined by (0,1), (1,2), (2,0), (3,4), (4,5), (5,3), (0,3), (1,4), (2,5).
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*
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* @sa
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* vtkQuadraticEdge vtkQuadraticTriangle vtkQuadraticTetra
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* vtkQuadraticHexahedron vtkQuadraticQuad vtkQuadraticPyramid
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*/
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#ifndef vtkQuadraticWedge_h
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#define vtkQuadraticWedge_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 vtkWedge;
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class vtkDoubleArray;
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class VTKCOMMONDATAMODEL_EXPORT vtkQuadraticWedge : public vtkNonLinearCell
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{
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public:
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static vtkQuadraticWedge* New();
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vtkTypeMacro(vtkQuadraticWedge, 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_WEDGE; }
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int GetCellDimension() override { return 3; }
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int GetNumberOfEdges() override { return 9; }
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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 hexahedron using scalar value provided. Like
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* contouring, except that it cuts the hex to produce linear
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* tetrahedron.
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*/
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void Clip(double value, vtkDataArray* cellScalars, vtkIncrementalPointLocator* locator,
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vtkCellArray* tetras, 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 wedge 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[15]);
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static void InterpolationDerivs(const double pcoords[3], double derivs[45]);
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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[15]) override
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{
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vtkQuadraticWedge::InterpolationFunctions(pcoords, weights);
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}
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void InterpolateDerivs(const double pcoords[3], double derivs[45]) override
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{
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vtkQuadraticWedge::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[45]);
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protected:
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vtkQuadraticWedge();
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~vtkQuadraticWedge() override;
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vtkQuadraticEdge* Edge;
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vtkQuadraticTriangle* TriangleFace;
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vtkQuadraticQuad* Face;
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vtkWedge* Wedge;
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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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void Subdivide(
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vtkPointData* inPd, vtkCellData* inCd, vtkIdType cellId, vtkDataArray* cellScalars);
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private:
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vtkQuadraticWedge(const vtkQuadraticWedge&) = delete;
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void operator=(const vtkQuadraticWedge&) = delete;
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};
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//----------------------------------------------------------------------------
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// Return the center of the quadratic wedge in parametric coordinates.
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inline int vtkQuadraticWedge::GetParametricCenter(double pcoords[3])
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{
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pcoords[0] = pcoords[1] = 1. / 3;
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pcoords[2] = 0.5;
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return 0;
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}
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#endif
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