VTK  9.2.6
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 =========================================================================*/
33 #ifndef vtkTetra_h
34 #define vtkTetra_h
35 
36 #include "vtkCell3D.h"
37 #include "vtkCommonDataModelModule.h" // For export macro
38 
39 class vtkLine;
40 class vtkTriangle;
43 
44 class VTKCOMMONDATAMODEL_EXPORT vtkTetra : public vtkCell3D
45 {
46 public:
47  static vtkTetra* New();
48  vtkTypeMacro(vtkTetra, vtkCell3D);
49  void PrintSelf(ostream& os, vtkIndent indent) override;
50 
52 
55  void GetEdgePoints(vtkIdType edgeId, const vtkIdType*& pts) override;
56  vtkIdType GetFacePoints(vtkIdType faceId, const vtkIdType*& pts) override;
57  void GetEdgeToAdjacentFaces(vtkIdType edgeId, const vtkIdType*& pts) override;
58  vtkIdType GetFaceToAdjacentFaces(vtkIdType faceId, const vtkIdType*& faceIds) override;
59  vtkIdType GetPointToIncidentEdges(vtkIdType pointId, const vtkIdType*& edgeIds) override;
60  vtkIdType GetPointToIncidentFaces(vtkIdType pointId, const vtkIdType*& faceIds) override;
61  vtkIdType GetPointToOneRingPoints(vtkIdType pointId, const vtkIdType*& pts) override;
62  bool GetCentroid(double centroid[3]) const override;
63  bool IsInsideOut() override;
65 
69  static constexpr vtkIdType NumberOfPoints = 4;
70 
74  static constexpr vtkIdType NumberOfEdges = 6;
75 
79  static constexpr vtkIdType NumberOfFaces = 4;
80 
85  static constexpr vtkIdType MaximumFaceSize = 3;
86 
92  static constexpr vtkIdType MaximumValence = 3;
93 
95 
98  int GetCellType() override { return VTK_TETRA; }
99  int GetNumberOfEdges() override { return 6; }
100  int GetNumberOfFaces() override { return 4; }
101  vtkCell* GetEdge(int edgeId) override;
102  vtkCell* GetFace(int faceId) override;
103  void Contour(double value, vtkDataArray* cellScalars, vtkIncrementalPointLocator* locator,
104  vtkCellArray* verts, vtkCellArray* lines, vtkCellArray* polys, vtkPointData* inPd,
105  vtkPointData* outPd, vtkCellData* inCd, vtkIdType cellId, vtkCellData* outCd) override;
106  void Clip(double value, vtkDataArray* cellScalars, vtkIncrementalPointLocator* locator,
107  vtkCellArray* connectivity, vtkPointData* inPd, vtkPointData* outPd, vtkCellData* inCd,
108  vtkIdType cellId, vtkCellData* outCd, int insideOut) override;
109  int EvaluatePosition(const double x[3], double closestPoint[3], int& subId, double pcoords[3],
110  double& dist2, double weights[]) override;
111  void EvaluateLocation(int& subId, const double pcoords[3], double x[3], double* weights) override;
112  int IntersectWithLine(const double p1[3], const double p2[3], double tol, double& t, double x[3],
113  double pcoords[3], int& subId) override;
114  int Triangulate(int index, vtkIdList* ptIds, vtkPoints* pts) override;
115  void Derivatives(
116  int subId, const double pcoords[3], const double* values, int dim, double* derivs) override;
117  double* GetParametricCoords() override;
119 
127  static int* GetTriangleCases(int caseId);
128 
134  int CellBoundary(int subId, const double pcoords[3], vtkIdList* pts) override;
135 
139  int GetParametricCenter(double pcoords[3]) override;
140 
145  double GetParametricDistance(const double pcoords[3]) override;
146 
150  static void TetraCenter(double p1[3], double p2[3], double p3[3], double p4[3], double center[3]);
151 
157  static double Circumsphere(
158  double x1[3], double x2[3], double x3[3], double x4[3], double center[3]);
159 
165  static double Insphere(double p1[3], double p2[3], double p3[3], double p4[3], double center[3]);
166 
179  static int BarycentricCoords(
180  double x[3], double x1[3], double x2[3], double x3[3], double x4[3], double bcoords[4]);
181 
186  static double ComputeVolume(double p1[3], double p2[3], double p3[3], double p4[3]);
187 
193  int JacobianInverse(double** inverse, double derivs[12]);
194 
195  static void InterpolationFunctions(const double pcoords[3], double weights[4]);
196  static void InterpolationDerivs(const double pcoords[3], double derivs[12]);
198 
202  void InterpolateFunctions(const double pcoords[3], double weights[4]) override
203  {
204  vtkTetra::InterpolationFunctions(pcoords, weights);
205  }
206  void InterpolateDerivs(const double pcoords[3], double derivs[12]) override
207  {
208  vtkTetra::InterpolationDerivs(pcoords, derivs);
209  }
211 
213 
221  static const vtkIdType* GetEdgeArray(vtkIdType edgeId) VTK_SIZEHINT(2);
222  static const vtkIdType* GetFaceArray(vtkIdType faceId) VTK_SIZEHINT(3);
224 
228  static const vtkIdType* GetEdgeToAdjacentFacesArray(vtkIdType edgeId) VTK_SIZEHINT(2);
229 
233  static const vtkIdType* GetFaceToAdjacentFacesArray(vtkIdType faceId) VTK_SIZEHINT(3);
234 
238  static const vtkIdType* GetPointToIncidentEdgesArray(vtkIdType pointId) VTK_SIZEHINT(3);
239 
243  static const vtkIdType* GetPointToIncidentFacesArray(vtkIdType pointId) VTK_SIZEHINT(3);
244 
248  static const vtkIdType* GetPointToOneRingPointsArray(vtkIdType pointId) VTK_SIZEHINT(3);
249 
253  static bool ComputeCentroid(vtkPoints* points, const vtkIdType* pointIds, double centroid[3]);
254 
255 protected:
256  vtkTetra();
257  ~vtkTetra() override;
258 
261 
262 private:
263  vtkTetra(const vtkTetra&) = delete;
264  void operator=(const vtkTetra&) = delete;
265 };
266 
267 inline int vtkTetra::GetParametricCenter(double pcoords[3])
268 {
269  pcoords[0] = pcoords[1] = pcoords[2] = 0.25;
270  return 0;
271 }
272 
273 #endif
virtual vtkIdType GetFaceToAdjacentFaces(vtkIdType faceId, const vtkIdType *&faceIds)=0
Get the ids of the adjacent faces to face of id faceId.
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:98
represent and manipulate point attribute data
Definition: vtkPointData.h:41
void InterpolateFunctions(const double pcoords[3], double weights[4]) override
Compute the interpolation functions/derivatives (aka shape functions/derivatives) ...
Definition: vtkTetra.h:202
represent and manipulate cell attribute data
Definition: vtkCellData.h:41
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])
virtual bool GetCentroid(double centroid[3]) const =0
Computes the centroid of the cell.
int vtkIdType
Definition: vtkType.h:332
void InterpolateDerivs(const double pcoords[3], double derivs[12]) override
Compute the interpolation functions/derivatives (aka shape functions/derivatives) ...
Definition: vtkTetra.h:206
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...
virtual vtkIdType GetFacePoints(vtkIdType faceId, const vtkIdType *&pts)=0
Get the list of vertices that define a face.
a 3D cell that represents a tetrahedron
Definition: vtkTetra.h:44
virtual void GetEdgePoints(vtkIdType edgeId, const vtkIdType *&pts)=0
Get the pair of vertices that define an edge.
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:33
abstract class to specify cell behavior
Definition: vtkCell.h:60
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:267
a simple class to control print indentation
Definition: vtkIndent.h:39
virtual void GetEdgeToAdjacentFaces(vtkIdType edgeId, const vtkIdType *&faceIds)=0
Get the ids of the two adjacent faces to edge of id edgeId.
int GetNumberOfFaces() override
See the vtkCell API for descriptions of these methods.
Definition: vtkTetra.h:100
int GetNumberOfEdges() override
See the vtkCell API for descriptions of these methods.
Definition: vtkTetra.h:99
list of point or cell ids
Definition: vtkIdList.h:33
dataset represents arbitrary combinations of all possible cell types
abstract superclass for arrays of numeric data
Definition: vtkDataArray.h:55
virtual vtkIdType GetPointToOneRingPoints(vtkIdType pointId, const vtkIdType *&pts)=0
Get the ids of a one-ring surrounding point of id pointId.
#define VTK_SIZEHINT(...)
vtkLine * Line
Definition: vtkTetra.h:259
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:186
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:38
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 vtkIdType GetPointToIncidentFaces(vtkIdType pointId, const vtkIdType *&faceIds)=0
Get the ids of the incident faces point of id pointId.
virtual bool IsInsideOut()
Returns true if the normals of the vtkCell3D point inside the cell.
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:260
represent and manipulate 3D points
Definition: vtkPoints.h:39
virtual vtkIdType GetPointToIncidentEdges(vtkIdType pointId, const vtkIdType *&edgeIds)=0
Get the ids of the incident edges to point of id pointId.