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vtkLagrangeTetra.h
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1 /*=========================================================================
2 
3  Program: Visualization Toolkit
4  Module: vtkLagrangeTetra.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 // .NAME vtkLagrangeTetra
16 // .SECTION Description
17 // .SECTION See Also
18 
19 #ifndef vtkLagrangeTetra_h
20 #define vtkLagrangeTetra_h
21 
22 #include "vtkCommonDataModelModule.h" // For export macro
23 #include "vtkNonLinearCell.h"
24 
25 #define VTK_LAGRANGE_TETRAHEDRON_MAX_ORDER 6
26 
27 #define MAX_POINTS ((VTK_LAGRANGE_TETRAHEDRON_MAX_ORDER + 1) * \
28  (VTK_LAGRANGE_TETRAHEDRON_MAX_ORDER + 2) * \
29  (VTK_LAGRANGE_TETRAHEDRON_MAX_ORDER + 3)/6)
30 
31 #define MAX_SUBTETRAHEDRA (((VTK_LAGRANGE_TETRAHEDRON_MAX_ORDER - 2) * \
32  (VTK_LAGRANGE_TETRAHEDRON_MAX_ORDER - 1) * \
33  (VTK_LAGRANGE_TETRAHEDRON_MAX_ORDER)) + \
34  4*((VTK_LAGRANGE_TETRAHEDRON_MAX_ORDER - 1) * \
35  (VTK_LAGRANGE_TETRAHEDRON_MAX_ORDER) * \
36  (VTK_LAGRANGE_TETRAHEDRON_MAX_ORDER + 1)) + \
37  ((VTK_LAGRANGE_TETRAHEDRON_MAX_ORDER) * \
38  (VTK_LAGRANGE_TETRAHEDRON_MAX_ORDER + 1) * \
39  (VTK_LAGRANGE_TETRAHEDRON_MAX_ORDER + 2))/6)
40 
41 class vtkTetra;
42 class vtkLagrangeCurve;
44 class vtkDoubleArray;
45 
46 class VTKCOMMONDATAMODEL_EXPORT vtkLagrangeTetra : public vtkNonLinearCell
47 {
48 public:
49  static vtkLagrangeTetra *New();
51  void PrintSelf(ostream& os, vtkIndent indent) override;
52 
53  int GetCellType() override { return VTK_LAGRANGE_TETRAHEDRON; }
54  int GetCellDimension() override { return 3; }
55  int RequiresInitialization() override { return 1; }
56  int GetNumberOfEdges() override { return 6; }
57  int GetNumberOfFaces() override { return 4; }
58  vtkCell *GetEdge(int edgeId) override;
59  vtkCell *GetFace(int faceId) override;
60 
61  void Initialize() override;
62 
64  static int MaximumNumberOfPoints()
65  {
66  return ((vtkLagrangeTetra::MaximumOrder() + 1) *
68  }
69  int CellBoundary(int subId, double pcoords[3], vtkIdList *pts) override;
70  int EvaluatePosition(double x[3], double* closestPoint,
71  int& subId, double pcoords[3],
72  double& dist2, double *weights) override;
73  void EvaluateLocation(int& subId, double pcoords[3], double x[3],
74  double *weights) override;
75  void Contour(double value, vtkDataArray *cellScalars,
77  vtkCellArray *lines, vtkCellArray *polys,
78  vtkPointData *inPd, vtkPointData *outPd,
79  vtkCellData *inCd, vtkIdType cellId, vtkCellData *outCd) override;
80  void Clip(double value, vtkDataArray *cellScalars,
82  vtkPointData *inPd, vtkPointData *outPd,
83  vtkCellData *inCd, vtkIdType cellId, vtkCellData *outCd,
84  int insideOut) override;
85  int IntersectWithLine(double p1[3], double p2[3], double tol, double& t,
86  double x[3], double pcoords[3], int& subId) override;
87  int Triangulate(int index, vtkIdList *ptIds, vtkPoints *pts) override;
88  void JacobianInverse(double pcoords[3], double** inverse, double* derivs);
89  void Derivatives(int subId, double pcoords[3], double *values,
90  int dim, double *derivs) override;
91  double* GetParametricCoords() override;
92 
93  int GetParametricCenter(double pcoords[3]) override;
94  double GetParametricDistance(double pcoords[3]) override;
95 
96  void InterpolateFunctions(double pcoords[3], double* weights) override;
97  void InterpolateDerivs(double pcoords[3], double* derivs) override;
98 
99  vtkIdType GetOrder() const { return this->Order; }
100  vtkIdType ComputeOrder();
101 
102  void ToBarycentricIndex(vtkIdType index, vtkIdType* bindex);
103  vtkIdType ToIndex(const vtkIdType* bindex);
104 
105  static void BarycentricIndex(vtkIdType index, vtkIdType* bindex,
106  vtkIdType order);
107  static vtkIdType Index(const vtkIdType* bindex, vtkIdType order);
108 
109 protected:
111  ~vtkLagrangeTetra() override;
112 
113  vtkIdType GetNumberOfSubtetras() const { return this->NumberOfSubtetras; }
114  vtkIdType ComputeNumberOfSubtetras();
115 
116  // Description:
117  // Given the index of the subtriangle, compute the barycentric indices of
118  // the subtriangle's vertices.
119  void SubtetraBarycentricPointIndices(vtkIdType cellIndex,
120  vtkIdType (&pointBIndices)[4][4]);
121  void TetraFromOctahedron(vtkIdType cellIndex,
122  const vtkIdType (&octBIndices)[6][4],
123  vtkIdType (&tetraBIndices)[4][4]);
124 
128  vtkDoubleArray *Scalars; //used to avoid New/Delete in contouring/clipping
132 
134  vtkIdType BarycentricIndexMap[4*MAX_POINTS];
138  vtkIdType SubtetraIndexMap[16*MAX_SUBTETRAHEDRA];
139 
140 private:
141  vtkLagrangeTetra(const vtkLagrangeTetra&) = delete;
142  void operator=(const vtkLagrangeTetra&) = delete;
143 };
144 
145 #undef MAX_POINTS
146 #undef MAX_SUBTETRAHEDRA
147 
148 #endif
represent and manipulate point attribute data
Definition: vtkPointData.h:31
vtkIdType GetNumberOfSubtetras() const
virtual void InterpolateFunctions(double vtkNotUsed(pcoords)[3], double *vtkNotUsed(weight))
Compute the interpolation functions/derivatives (aka shape functions/derivatives) No-ops at this leve...
Definition: vtkCell.h:354
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...
abstract superclass for non-linear cells
int GetCellType() override
Return the type of cell.
int vtkIdType
Definition: vtkType.h:345
void PrintSelf(ostream &os, vtkIndent indent) override
Methods invoked by print to print information about the object including superclasses.
int RequiresInitialization() override
Some cells require initialization prior to access.
vtkLagrangeTriangle * Face
dynamic, self-adjusting array of double
double * ParametricCoordinates
a 3D cell that represents a tetrahedron
Definition: vtkTetra.h:41
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 GetCellDimension() override
Return the topological dimensional of the cell (0,1,2, or 3).
a simple class to control print indentation
Definition: vtkIndent.h:33
vtkDoubleArray * Scalars
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.
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 InterpolateDerivs(double vtkNotUsed(pcoords)[3], double *vtkNotUsed(derivs))
Definition: vtkCell.h:357
virtual void Clip(double value, vtkDataArray *cellScalars, vtkIncrementalPointLocator *locator, vtkCellArray *connectivity, vtkPointData *inPd, vtkPointData *outPd, vtkCellData *inCd, vtkIdType cellId, vtkCellData *outCd, int insideOut)=0
Cut (or clip) the cell based on the input cellScalars and the specified value.
int GetNumberOfFaces() override
Return the number of faces in the cell.
static int MaximumOrder()
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.
vtkIdType NumberOfSubtetras
virtual void Contour(double value, vtkDataArray *cellScalars, vtkIncrementalPointLocator *locator, vtkCellArray *verts, vtkCellArray *lines, vtkCellArray *polys, vtkPointData *inPd, vtkPointData *outPd, vtkCellData *inCd, vtkIdType cellId, vtkCellData *outCd)=0
Generate contouring primitives.
vtkLagrangeCurve * Edge
#define VTK_LAGRANGE_TETRAHEDRON_MAX_ORDER
#define MAX_SUBTETRAHEDRA
static int MaximumNumberOfPoints()
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...
#define MAX_POINTS
virtual void Initialize()
Definition: vtkCell.h:111
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.
int GetNumberOfEdges() override
Return the number of edges in the cell.
vtkIdType GetOrder() const
represent and manipulate 3D points
Definition: vtkPoints.h:33