1 /*=========================================================================
2 
3   Program:   Visualization Toolkit
4   Module:    vtkHexagonalPrism.h
5 
6   Copyright (c) Ken Martin, Will Schroeder, Bill Lorensen
7   All rights reserved.
8   See Copyright.txt or http://www.kitware.com/Copyright.htm for details.
9 
10      This software is distributed WITHOUT ANY WARRANTY; without even
11      the implied warranty of MERCHANTABILITY or FITNESS FOR A PARTICULAR
12      PURPOSE.  See the above copyright notice for more information.
13 
14 =========================================================================*/
15 /**
16  * @class   vtkHexagonalPrism
17  * @brief   a 3D cell that represents a prism with
18  * hexagonal base
19  *
20  * vtkHexagonalPrism is a concrete implementation of vtkCell to represent a
21  * linear 3D prism with hexagonal base. Such prism is defined by the twelve points
22  * (0-12) where (0,1,2,3,4,5) is the base of the prism which, using the right
23  * hand rule, forms a hexagon whose normal points is in the direction of the
24  * opposite face (6,7,8,9,10,11).
25  *
26  * @par Thanks:
27  * Thanks to Philippe Guerville who developed this class.
28  * Thanks to Charles Pignerol (CEA-DAM, France) who ported this class under
29  * VTK 4.
30  * Thanks to Jean Favre (CSCS, Switzerland) who contributed to integrate this
31  * class in VTK.
32  * Please address all comments to Jean Favre (jfavre at cscs.ch).
33 */
34 
35 #ifndef vtkHexagonalPrism_h
36 #define vtkHexagonalPrism_h
37 
38 #include "vtkCommonDataModelModule.h" // For export macro
39 #include "vtkCell3D.h"
40 
41 class vtkLine;
42 class vtkPolygon;
43 class vtkQuad;
44 
45 class VTKCOMMONDATAMODEL_EXPORT vtkHexagonalPrism : public vtkCell3D
46 {
47 public:
48   static vtkHexagonalPrism *New();
49   vtkTypeMacro(vtkHexagonalPrism,vtkCell3D);
50   void PrintSelf(ostream& os, vtkIndent indent) override;
51 
52   //@{
53   /**
54    * See vtkCell3D API for description of these methods.
55    */
56   void GetEdgePoints(int edgeId, int* &pts) override;
57   void GetFacePoints(int faceId, int* &pts) override;
58   //@}
59 
60   //@{
61   /**
62    * See the vtkCell API for descriptions of these methods.
63    */
GetCellType()64   int GetCellType() override {return VTK_HEXAGONAL_PRISM;};
GetCellDimension()65   int GetCellDimension() override {return 3;};
GetNumberOfEdges()66   int GetNumberOfEdges() override {return 18;};
GetNumberOfFaces()67   int GetNumberOfFaces() override {return 8;};
68   vtkCell *GetEdge(int edgeId) override;
69   vtkCell *GetFace(int faceId) override;
70   int CellBoundary(int subId, const double pcoords[3], vtkIdList *pts) override;
71   //@}
72 
73   int EvaluatePosition(const double x[3], double closestPoint[3],
74                        int& subId, double pcoords[3],
75                        double& dist2, double weights[]) override;
76   void EvaluateLocation(int& subId, const double pcoords[3], double x[3],
77                         double *weights) override;
78   int IntersectWithLine(const double p1[3], const double p2[3], double tol, double& t,
79                         double x[3], double pcoords[3], int& subId) override;
80   int Triangulate(int index, vtkIdList *ptIds, vtkPoints *pts) override;
81   void Derivatives(int subId, const double pcoords[3], const double *values,
82                    int dim, double *derivs) override;
83   double *GetParametricCoords() override;
84 
85   /**
86    * Return the center of the wedge in parametric coordinates.
87    */
88   int GetParametricCenter(double pcoords[3]) override;
89 
90   /**
91    * @deprecated Replaced by vtkHexagonalPrism::InterpolateFunctions as of VTK 5.2
92    */
93   static void InterpolationFunctions(const double pcoords[3], double weights[12]);
94   /**
95    * @deprecated Replaced by vtkHexagonalPrism::InterpolateDerivs as of VTK 5.2
96    */
97   static void InterpolationDerivs(const double pcoords[3], double derivs[36]);
98   //@{
99   /**
100    * Compute the interpolation functions/derivatives
101    * (aka shape functions/derivatives)
102    */
InterpolateFunctions(const double pcoords[3],double weights[12])103   void InterpolateFunctions(const double pcoords[3], double weights[12]) override
104   {
105     vtkHexagonalPrism::InterpolationFunctions(pcoords,weights);
106   }
InterpolateDerivs(const double pcoords[3],double derivs[36])107   void InterpolateDerivs(const double pcoords[3], double derivs[36]) override
108   {
109     vtkHexagonalPrism::InterpolationDerivs(pcoords,derivs);
110   }
111   //@}
112 
113   //@{
114   /**
115    * Return the ids of the vertices defining edge/face (`edgeId`/`faceId').
116    * Ids are related to the cell, not to the dataset.
117    */
118   static int *GetEdgeArray(int edgeId);
119   static int *GetFaceArray(int faceId);
120   //@}
121 
122   /**
123    * Given parametric coordinates compute inverse Jacobian transformation
124    * matrix. Returns 9 elements of 3x3 inverse Jacobian plus interpolation
125    * function derivatives.
126    */
127   void JacobianInverse(const double pcoords[3], double **inverse, double derivs[36]);
128 
129 protected:
130   vtkHexagonalPrism();
131   ~vtkHexagonalPrism() override;
132 
133   vtkLine          *Line;
134   vtkQuad          *Quad;
135   vtkPolygon       *Polygon;
136 
137 private:
138   vtkHexagonalPrism(const vtkHexagonalPrism&) = delete;
139   void operator=(const vtkHexagonalPrism&) = delete;
140 };
141 
142 //----------------------------------------------------------------------------
GetParametricCenter(double pcoords[3])143 inline int vtkHexagonalPrism::GetParametricCenter(double pcoords[3])
144 {
145   pcoords[0] = pcoords[1] = 0.5;
146   pcoords[2] = 0.5;
147   return 0;
148 }
149 #endif
150 
151 
152