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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) VTK_OVERRIDE;
53 
55 
58  void GetEdgePoints(int edgeId, int* &pts) VTK_OVERRIDE;
59  void GetFacePoints(int faceId, int* &pts) VTK_OVERRIDE;
61 
63 
66  int GetCellType() VTK_OVERRIDE {return VTK_TETRA;}
67  int GetNumberOfEdges() VTK_OVERRIDE {return 6;}
68  int GetNumberOfFaces() VTK_OVERRIDE {return 4;}
69  vtkCell *GetEdge(int edgeId) VTK_OVERRIDE;
70  vtkCell *GetFace(int faceId) VTK_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) VTK_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) VTK_OVERRIDE;
81  int EvaluatePosition(double x[3], double* closestPoint,
82  int& subId, double pcoords[3],
83  double& dist2, double *weights) VTK_OVERRIDE;
84  void EvaluateLocation(int& subId, double pcoords[3], double x[3],
85  double *weights) VTK_OVERRIDE;
86  int IntersectWithLine(double p1[3], double p2[3], double tol, double& t,
87  double x[3], double pcoords[3], int& subId) VTK_OVERRIDE;
88  int Triangulate(int index, vtkIdList *ptIds, vtkPoints *pts) VTK_OVERRIDE;
89  void Derivatives(int subId, double pcoords[3], double *values,
90  int dim, double *derivs) VTK_OVERRIDE;
91  double *GetParametricCoords() VTK_OVERRIDE;
93 
99  int CellBoundary(int subId, double pcoords[3], vtkIdList *pts) VTK_OVERRIDE;
100 
104  int GetParametricCenter(double pcoords[3]) VTK_OVERRIDE;
105 
110  double GetParametricDistance(double pcoords[3]) VTK_OVERRIDE;
111 
115  static void TetraCenter(double p1[3], double p2[3], double p3[3], double p4[3],
116  double center[3]);
117 
123  static double Circumsphere(double p1[3], double p2[3], double p3[3],
124  double p4[3], double center[3]);
125 
131  static double Insphere(double p1[3], double p2[3], double p3[3],
132  double p4[3], double center[3]);
133 
146  static int BarycentricCoords(double x[3], double x1[3], double x2[3],
147  double x3[3], double x4[3], double bcoords[4]);
148 
153  static double ComputeVolume(double p1[3], double p2[3], double p3[3],
154  double p4[3]);
155 
161  int JacobianInverse(double **inverse, double derivs[12]);
162 
166  static void InterpolationFunctions(double pcoords[3], double weights[4]);
170  static void InterpolationDerivs(double pcoords[3], double derivs[12]);
172 
176  void InterpolateFunctions(double pcoords[3], double weights[4]) VTK_OVERRIDE
177  {
178  vtkTetra::InterpolationFunctions(pcoords,weights);
179  }
180  void InterpolateDerivs(double pcoords[3], double derivs[12]) VTK_OVERRIDE
181  {
182  vtkTetra::InterpolationDerivs(pcoords,derivs);
183  }
185 
187 
191  static int *GetEdgeArray(int edgeId);
192  static int *GetFaceArray(int faceId);
194 
195 protected:
196  vtkTetra();
197  ~vtkTetra() VTK_OVERRIDE;
198 
199  vtkLine *Line;
200  vtkTriangle *Triangle;
201 
202 private:
203  vtkTetra(const vtkTetra&) VTK_DELETE_FUNCTION;
204  void operator=(const vtkTetra&) VTK_DELETE_FUNCTION;
205 };
206 
207 inline int vtkTetra::GetParametricCenter(double pcoords[3])
208 {
209  pcoords[0] = pcoords[1] = pcoords[2] = 0.25;
210  return 0;
211 }
212 
213 #endif
214 
215 
216 
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
static void InterpolationDerivs(double pcoords[3], double derivs[12])
represent and manipulate point attribute data
Definition: vtkPointData.h:37
static void InterpolationFunctions(double pcoords[3], double weights[4])
virtual double * GetParametricCoords()
Return a contiguous array of parametric coordinates of the points defining this cell.
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.
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:287
void InterpolateDerivs(double pcoords[3], double derivs[12]) override
Compute the interpolation functions/derivatives (aka shape functions/derivatives) ...
Definition: vtkTetra.h:180
abstract class to specify 3D cell interface
Definition: vtkCell3D.h:38
a 3D cell that represents a tetrahedron
Definition: vtkTetra.h:47
cell represents a 1D line
Definition: vtkLine.h:35
abstract class to specify cell behavior
Definition: vtkCell.h:59
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
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:54
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.
virtual vtkCell * GetFace(int faceId)=0
Return the face cell from the faceId of the cell.
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
void PrintSelf(ostream &os, vtkIndent indent) override
Methods invoked by print to print information about the object including superclasses.
static vtkObject * New()
Create an object with Debug turned off, modified time initialized to zero, and reference counting on...
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.
represent and manipulate 3D points
Definition: vtkPoints.h:39