VTK
vtkTetra.h
Go to the documentation of this file.
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 =========================================================================*/
30 #ifndef vtkTetra_h
31 #define vtkTetra_h
32 
33 #include "vtkCommonDataModelModule.h" // For export macro
34 #include "vtkCell3D.h"
35 
36 class vtkLine;
37 class vtkTriangle;
40 
41 class VTKCOMMONDATAMODEL_EXPORT vtkTetra : public vtkCell3D
42 {
43 public:
44  static vtkTetra *New();
45  vtkTypeMacro(vtkTetra,vtkCell3D);
46  void PrintSelf(ostream& os, vtkIndent indent) override;
47 
49 
52  void GetEdgePoints(int edgeId, int* &pts) override;
53  void GetFacePoints(int faceId, int* &pts) override;
55 
57 
60  int GetCellType() override {return VTK_TETRA;}
61  int GetNumberOfEdges() override {return 6;}
62  int GetNumberOfFaces() override {return 4;}
63  vtkCell *GetEdge(int edgeId) override;
64  vtkCell *GetFace(int faceId) override;
65  void Contour(double value, vtkDataArray *cellScalars,
67  vtkCellArray *lines, vtkCellArray *polys,
68  vtkPointData *inPd, vtkPointData *outPd,
69  vtkCellData *inCd, vtkIdType cellId, vtkCellData *outCd) override;
70  void Clip(double value, vtkDataArray *cellScalars,
71  vtkIncrementalPointLocator *locator, vtkCellArray *connectivity,
72  vtkPointData *inPd, vtkPointData *outPd,
73  vtkCellData *inCd, vtkIdType cellId, vtkCellData *outCd,
74  int insideOut) override;
75  int EvaluatePosition(double x[3], double* closestPoint,
76  int& subId, double pcoords[3],
77  double& dist2, double *weights) override;
78  void EvaluateLocation(int& subId, double pcoords[3], double x[3],
79  double *weights) override;
80  int IntersectWithLine(double p1[3], double p2[3], double tol, double& t,
81  double x[3], double pcoords[3], int& subId) override;
82  int Triangulate(int index, vtkIdList *ptIds, vtkPoints *pts) override;
83  void Derivatives(int subId, double pcoords[3], double *values,
84  int dim, double *derivs) override;
85  double *GetParametricCoords() override;
87 
93  int CellBoundary(int subId, double pcoords[3], vtkIdList *pts) override;
94 
98  int GetParametricCenter(double pcoords[3]) override;
99 
104  double GetParametricDistance(double pcoords[3]) override;
105 
109  static void TetraCenter(double p1[3], double p2[3], double p3[3], double p4[3],
110  double center[3]);
111 
117  static double Circumsphere(double p1[3], double p2[3], double p3[3],
118  double p4[3], double center[3]);
119 
125  static double Insphere(double p1[3], double p2[3], double p3[3],
126  double p4[3], double center[3]);
127 
140  static int BarycentricCoords(double x[3], double x1[3], double x2[3],
141  double x3[3], double x4[3], double bcoords[4]);
142 
147  static double ComputeVolume(double p1[3], double p2[3], double p3[3],
148  double p4[3]);
149 
155  int JacobianInverse(double **inverse, double derivs[12]);
156 
160  static void InterpolationFunctions(double pcoords[3], double weights[4]);
164  static void InterpolationDerivs(double pcoords[3], double derivs[12]);
166 
170  void InterpolateFunctions(double pcoords[3], double weights[4]) override
171  {
172  vtkTetra::InterpolationFunctions(pcoords,weights);
173  }
174  void InterpolateDerivs(double pcoords[3], double derivs[12]) override
175  {
176  vtkTetra::InterpolationDerivs(pcoords,derivs);
177  }
179 
181 
185  static int *GetEdgeArray(int edgeId) VTK_SIZEHINT(2);
186  static int *GetFaceArray(int faceId) VTK_SIZEHINT(3);
188 
189 protected:
190  vtkTetra();
191  ~vtkTetra() override;
192 
195 
196 private:
197  vtkTetra(const vtkTetra&) = delete;
198  void operator=(const vtkTetra&) = delete;
199 };
200 
201 inline int vtkTetra::GetParametricCenter(double pcoords[3])
202 {
203  pcoords[0] = pcoords[1] = pcoords[2] = 0.25;
204  return 0;
205 }
206 
207 #endif
208 
209 
210 
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:60
static void InterpolationDerivs(double pcoords[3], double derivs[12])
void InterpolateFunctions(double pcoords[3], double weights[4]) override
Compute the interpolation functions/derivatives (aka shape functions/derivatives) ...
Definition: vtkTetra.h:170
represent and manipulate point attribute data
Definition: vtkPointData.h:31
static void InterpolationFunctions(double pcoords[3], double weights[4])
represent and manipulate cell attribute data
Definition: vtkCellData.h:32
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.
virtual void EvaluateLocation(int &subId, double pcoords[3], double x[3], double *weights)=0
Determine global coordinate (x[3]) from subId and parametric coordinates.
virtual int EvaluatePosition(double x[3], double *closestPoint, 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...
int vtkIdType
Definition: vtkType.h:345
void InterpolateDerivs(double pcoords[3], double derivs[12]) override
Compute the interpolation functions/derivatives (aka shape functions/derivatives) ...
Definition: vtkTetra.h:174
abstract class to specify 3D cell interface
Definition: vtkCell3D.h:38
a 3D cell that represents a tetrahedron
Definition: vtkTetra.h:41
cell represents a 1D line
Definition: vtkLine.h:29
abstract class to specify cell behavior
Definition: vtkCell.h:56
virtual double GetParametricDistance(double pcoords[3])
Return the distance of the parametric coordinate provided to the cell.
int GetParametricCenter(double pcoords[3]) override
Return the center of the tetrahedron in parametric coordinates.
Definition: vtkTetra.h:201
a simple class to control print indentation
Definition: vtkIndent.h:33
int GetNumberOfFaces() override
See the vtkCell API for descriptions of these methods.
Definition: vtkTetra.h:62
int GetNumberOfEdges() override
See the vtkCell API for descriptions of these methods.
Definition: vtkTetra.h:61
list of point or cell ids
Definition: vtkIdList.h:30
virtual void Derivatives(int subId, double pcoords[3], double *values, int dim, double *derivs)=0
Compute derivatives given cell subId and parametric coordinates.
dataset represents arbitrary combinations of all possible cell types
abstract superclass for arrays of numeric data
Definition: vtkDataArray.h:48
virtual int IntersectWithLine(double p1[3], double p2[3], double tol, double &t, double x[3], double pcoords[3], int &subId)=0
Intersect with a ray.
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:193
virtual vtkCell * GetFace(int faceId)=0
Return the face cell from the faceId of the cell.
object to represent cell connectivity
Definition: vtkCellArray.h:44
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:35
void PrintSelf(ostream &os, vtkIndent indent) override
Methods invoked by print to print information about the object including superclasses.
virtual int CellBoundary(int subId, double pcoords[3], vtkIdList *pts)=0
Given parametric coordinates of a point, return the closest cell boundary, and whether the point is i...
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 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:194
represent and manipulate 3D points
Definition: vtkPoints.h:33