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vtkTetra.h
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1 /*=========================================================================
2 
3  Program: Visualization Toolkit
4  Module: vtkTetra.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 =========================================================================*/
36 #ifndef vtkTetra_h
37 #define vtkTetra_h
38 
39 #include "vtkCommonDataModelModule.h" // For export macro
40 #include "vtkCell3D.h"
41 
42 class vtkLine;
43 class vtkTriangle;
46 
47 class VTKCOMMONDATAMODEL_EXPORT vtkTetra : public vtkCell3D
48 {
49 public:
50  static vtkTetra *New();
51  vtkTypeMacro(vtkTetra,vtkCell3D);
52  void PrintSelf(ostream& os, vtkIndent indent) override;
53 
55 
58  void GetEdgePoints(int edgeId, int* &pts) override;
59  void GetFacePoints(int faceId, int* &pts) override;
61 
63 
66  int GetCellType() override {return VTK_TETRA;}
67  int GetNumberOfEdges() override {return 6;}
68  int GetNumberOfFaces() override {return 4;}
69  vtkCell *GetEdge(int edgeId) override;
70  vtkCell *GetFace(int faceId) override;
71  void Contour(double value, vtkDataArray *cellScalars,
73  vtkCellArray *lines, vtkCellArray *polys,
74  vtkPointData *inPd, vtkPointData *outPd,
75  vtkCellData *inCd, vtkIdType cellId, vtkCellData *outCd) override;
76  void Clip(double value, vtkDataArray *cellScalars,
77  vtkIncrementalPointLocator *locator, vtkCellArray *connectivity,
78  vtkPointData *inPd, vtkPointData *outPd,
79  vtkCellData *inCd, vtkIdType cellId, vtkCellData *outCd,
80  int insideOut) override;
81  int EvaluatePosition(const double x[3], double closestPoint[3],
82  int& subId, double pcoords[3],
83  double& dist2, double weights[]) override;
84  void EvaluateLocation(int& subId, const double pcoords[3], double x[3],
85  double *weights) override;
86  int IntersectWithLine(const double p1[3], const double p2[3], double tol, double& t,
87  double x[3], double pcoords[3], int& subId) override;
88  int Triangulate(int index, vtkIdList *ptIds, vtkPoints *pts) override;
89  void Derivatives(int subId, const double pcoords[3], const double *values,
90  int dim, double *derivs) override;
91  double *GetParametricCoords() override;
93 
101  static int* GetTriangleCases(int caseId);
102 
108  int CellBoundary(int subId, const double pcoords[3], vtkIdList *pts) override;
109 
113  int GetParametricCenter(double pcoords[3]) override;
114 
119  double GetParametricDistance(const double pcoords[3]) override;
120 
124  static void TetraCenter(double p1[3], double p2[3], double p3[3], double p4[3],
125  double center[3]);
126 
132  static double Circumsphere(double p1[3], double p2[3], double p3[3],
133  double p4[3], double center[3]);
134 
140  static double Insphere(double p1[3], double p2[3], double p3[3],
141  double p4[3], double center[3]);
142 
155  static int BarycentricCoords(double x[3], double x1[3], double x2[3],
156  double x3[3], double x4[3], double bcoords[4]);
157 
162  static double ComputeVolume(double p1[3], double p2[3], double p3[3],
163  double p4[3]);
164 
170  int JacobianInverse(double **inverse, double derivs[12]);
171 
175  static void InterpolationFunctions(const double pcoords[3], double weights[4]);
179  static void InterpolationDerivs(const double pcoords[3], double derivs[12]);
181 
185  void InterpolateFunctions(const double pcoords[3], double weights[4]) override
186  {
187  vtkTetra::InterpolationFunctions(pcoords,weights);
188  }
189  void InterpolateDerivs(const double pcoords[3], double derivs[12]) override
190  {
191  vtkTetra::InterpolationDerivs(pcoords,derivs);
192  }
194 
196 
200  static int *GetEdgeArray(int edgeId) VTK_SIZEHINT(2);
201  static int *GetFaceArray(int faceId) VTK_SIZEHINT(3);
203 
204 protected:
205  vtkTetra();
206  ~vtkTetra() override;
207 
210 
211 private:
212  vtkTetra(const vtkTetra&) = delete;
213  void operator=(const vtkTetra&) = delete;
214 };
215 
216 inline int vtkTetra::GetParametricCenter(double pcoords[3])
217 {
218  pcoords[0] = pcoords[1] = pcoords[2] = 0.25;
219  return 0;
220 }
221 
222 #endif
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
Generate contouring primitives.
int GetCellType() override
See the vtkCell API for descriptions of these methods.
Definition: vtkTetra.h:66
represent and manipulate point attribute data
Definition: vtkPointData.h:37
void InterpolateFunctions(const double pcoords[3], double weights[4]) override
Compute the interpolation functions/derivatives (aka shape functions/derivatives) ...
Definition: vtkTetra.h:185
represent and manipulate cell attribute data
Definition: vtkCellData.h:38
Abstract class in support of both point location and point insertion.
virtual int Triangulate(int index, vtkIdList *ptIds, vtkPoints *pts)=0
Generate simplices of proper dimension.
static void InterpolationDerivs(const double pcoords[3], double derivs[12])
int vtkIdType
Definition: vtkType.h:347
void InterpolateDerivs(const double pcoords[3], double derivs[12]) override
Compute the interpolation functions/derivatives (aka shape functions/derivatives) ...
Definition: vtkTetra.h:189
abstract class to specify 3D cell interface
Definition: vtkCell3D.h:38
virtual int CellBoundary(int subId, const double pcoords[3], vtkIdList *pts)=0
Given parametric coordinates of a point, return the closest cell boundary, and whether the point is i...
a 3D cell that represents a tetrahedron
Definition: vtkTetra.h:47
virtual double GetParametricDistance(const double pcoords[3])
Return the distance of the parametric coordinate provided to the cell.
cell represents a 1D line
Definition: vtkLine.h:35
abstract class to specify cell behavior
Definition: vtkCell.h:59
virtual void EvaluateLocation(int &subId, const double pcoords[3], double x[3], double *weights)=0
Determine global coordinate (x[3]) from subId and parametric coordinates.
int GetParametricCenter(double pcoords[3]) override
Return the center of the tetrahedron in parametric coordinates.
Definition: vtkTetra.h:216
a simple class to control print indentation
Definition: vtkIndent.h:39
int GetNumberOfFaces() override
See the vtkCell API for descriptions of these methods.
Definition: vtkTetra.h:68
int GetNumberOfEdges() override
See the vtkCell API for descriptions of these methods.
Definition: vtkTetra.h:67
list of point or cell ids
Definition: vtkIdList.h:36
dataset represents arbitrary combinations of all possible cell types
abstract superclass for arrays of numeric data
Definition: vtkDataArray.h:54
virtual void GetFacePoints(int faceId, int *&pts)=0
Get the list of vertices that define a face.
#define VTK_SIZEHINT(...)
vtkLine * Line
Definition: vtkTetra.h:208
virtual vtkCell * GetFace(int faceId)=0
Return the face cell from the faceId of the cell.
virtual int EvaluatePosition(const double x[3], double closestPoint[3], int &subId, double pcoords[3], double &dist2, double weights[])=0
Given a point x[3] return inside(=1), outside(=0) cell, or (-1) computational problem encountered; ev...
object to represent cell connectivity
Definition: vtkCellArray.h:50
virtual vtkCell * GetEdge(int edgeId)=0
Return the edge cell from the edgeId of the cell.
a cell that represents a triangle
Definition: vtkTriangle.h:41
virtual void Derivatives(int subId, const double pcoords[3], const double *values, int dim, double *derivs)=0
Compute derivatives given cell subId and parametric coordinates.
void PrintSelf(ostream &os, vtkIndent indent) override
Methods invoked by print to print information about the object including superclasses.
static void InterpolationFunctions(const double pcoords[3], double weights[4])
static vtkObject * New()
Create an object with Debug turned off, modified time initialized to zero, and reference counting on...
virtual double * GetParametricCoords())
Return a contiguous array of parametric coordinates of the points defining this cell.
virtual int GetParametricCenter(double pcoords[3])
Return center of the cell in parametric coordinates.
virtual int IntersectWithLine(const double p1[3], const double p2[3], double tol, double &t, double x[3], double pcoords[3], int &subId)=0
Intersect with a ray.
virtual void GetEdgePoints(int edgeId, int *&pts)=0
Get the pair of vertices that define an edge.
void Clip(double value, vtkDataArray *cellScalars, vtkIncrementalPointLocator *locator, vtkCellArray *connectivity, vtkPointData *inPd, vtkPointData *outPd, vtkCellData *inCd, vtkIdType cellId, vtkCellData *outCd, int insideOut) override
Cut (or clip) the cell based on the input cellScalars and the specified value.
vtkTriangle * Triangle
Definition: vtkTetra.h:209
represent and manipulate 3D points
Definition: vtkPoints.h:39