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vtkLagrangeTriangle.h
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1 /*=========================================================================
2 
3  Program: Visualization Toolkit
4  Module: vtkLagrangeTriangle.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 =========================================================================*/
34 #ifndef vtkLagrangeTriangle_h
35 #define vtkLagrangeTriangle_h
36 
37 #include "vtkCommonDataModelModule.h" // For export macro
38 #include "vtkNonLinearCell.h"
39 
40 #define VTK_LAGRANGE_TRIANGLE_MAX_ORDER 6
41 
42 #define MAX_POINTS ((VTK_LAGRANGE_TRIANGLE_MAX_ORDER + 1) * \
43  (VTK_LAGRANGE_TRIANGLE_MAX_ORDER + 2)/2)
44 
45 #define MAX_SUBTRIANGLES (VTK_LAGRANGE_TRIANGLE_MAX_ORDER * \
46  VTK_LAGRANGE_TRIANGLE_MAX_ORDER)
47 
48 class vtkDoubleArray;
49 class vtkLagrangeCurve;
50 class vtkTriangle;
51 
52 class VTKCOMMONDATAMODEL_EXPORT vtkLagrangeTriangle : public vtkNonLinearCell
53 {
54 public:
55  static vtkLagrangeTriangle *New();
57  void PrintSelf(ostream& os, vtkIndent indent) override;
58 
59  int GetCellType() override { return VTK_LAGRANGE_TRIANGLE; }
60  int GetCellDimension() override { return 2; }
61  int RequiresInitialization() override { return 1; }
62  int GetNumberOfEdges() override { return 3; }
63  int GetNumberOfFaces() override { return 0; }
64  vtkCell *GetEdge(int edgeId) override;
65  vtkCell *GetFace(int) override { return nullptr; }
66 
67  void Initialize() override;
68 
70  static int MaximumNumberOfPoints()
71  {
72  return ((vtkLagrangeTriangle::MaximumOrder() + 1) *
74  }
75 
76  int CellBoundary(int subId, const double pcoords[3], vtkIdList *pts) override;
77  int EvaluatePosition(const double x[3], double closestPoint[3],
78  int& subId, double pcoords[3],
79  double& dist2, double weights[]) override;
80  void EvaluateLocation(int& subId, const double pcoords[3], double x[3],
81  double *weights) override;
82  void Contour(double value, vtkDataArray *cellScalars,
84  vtkCellArray *lines, vtkCellArray *polys,
85  vtkPointData *inPd, vtkPointData *outPd,
86  vtkCellData *inCd, vtkIdType cellId, vtkCellData *outCd) override;
87  void Clip(double value, vtkDataArray *cellScalars,
89  vtkPointData *inPd, vtkPointData *outPd,
90  vtkCellData *inCd, vtkIdType cellId, vtkCellData *outCd,
91  int insideOut) override;
92  int IntersectWithLine(const double p1[3], const double p2[3], double tol, double& t,
93  double x[3], double pcoords[3], int& subId) override;
94  int Triangulate(int index, vtkIdList *ptIds, vtkPoints *pts) override;
95  void JacobianInverse(const double pcoords[3], double** inverse, double* derivs);
96  void Derivatives(int subId, const double pcoords[3], const double *values,
97  int dim, double *derivs) override;
98  double* GetParametricCoords() override;
99  static void ComputeParametricCoords(double*,vtkIdType);
100 
101  int GetParametricCenter(double pcoords[3]) override;
102  double GetParametricDistance(const double pcoords[3]) override;
103 
104  void InterpolateFunctions(const double pcoords[3], double* weights) override;
105  void InterpolateDerivs(const double pcoords[3], double* derivs) override;
106 
107  vtkIdType GetOrder() const { return this->Order; }
108  vtkIdType ComputeOrder();
109 
110  void ToBarycentricIndex(vtkIdType index, vtkIdType* bindex);
111  vtkIdType ToIndex(const vtkIdType* bindex);
112 
113  static void BarycentricIndex(vtkIdType index, vtkIdType* bindex,
114  vtkIdType order);
115  static vtkIdType Index(const vtkIdType* bindex, vtkIdType order);
116 
117  static double eta(vtkIdType n, vtkIdType chi, double sigma);
118  static double d_eta(vtkIdType n, vtkIdType chi,double sigma);
119 
120 protected:
122  ~vtkLagrangeTriangle() override;
123 
124  vtkIdType GetNumberOfSubtriangles() const {return this->NumberOfSubtriangles;}
125  vtkIdType ComputeNumberOfSubtriangles();
126 
127  // Description:
128  // Given the index of the subtriangle, compute the barycentric indices of
129  // the subtriangle's vertices.
130  void SubtriangleBarycentricPointIndices(vtkIdType cellIndex,
131  vtkIdType (&pointBIndices)[3][3]);
132 
135  vtkDoubleArray *Scalars; //used to avoid New/Delete in contouring/clipping
139 
141  vtkIdType BarycentricIndexMap[3*MAX_POINTS];
144  vtkIdType SubtriangleIndexMap[9*MAX_SUBTRIANGLES];
145 
146 private:
147  vtkLagrangeTriangle(const vtkLagrangeTriangle&) = delete;
148  void operator=(const vtkLagrangeTriangle&) = delete;
149 };
150 
151 #undef MAX_POINTS
152 #undef MAX_SUBTRIANGLES
153 
154 #endif
vtkPoints
represent and manipulate 3D points
Definition: vtkPoints.h:39
VTK_LAGRANGE_TRIANGLE_MAX_ORDER
#define VTK_LAGRANGE_TRIANGLE_MAX_ORDER
Definition: vtkLagrangeTriangle.h:40
vtkLagrangeTriangle::GetNumberOfSubtriangles
vtkIdType GetNumberOfSubtriangles() const
Definition: vtkLagrangeTriangle.h:124
vtkCell::IntersectWithLine
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.
vtkLagrangeTriangle::Edge
vtkLagrangeCurve * Edge
Definition: vtkLagrangeTriangle.h:133
vtkCell::Contour
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.
vtkPointData
represent and manipulate point attribute data
Definition: vtkPointData.h:37
vtkX3D::value
Definition: vtkX3D.h:220
vtkIdType
int vtkIdType
Definition: vtkType.h:347
vtkObject::New
static vtkObject * New()
Create an object with Debug turned off, modified time initialized to zero, and reference counting on.
MAX_POINTS
#define MAX_POINTS
Definition: vtkLagrangeTriangle.h:42
vtkCell::Initialize
virtual void Initialize()
Definition: vtkCell.h:114
vtkLagrangeTriangle::MaximumNumberOfPoints
static int MaximumNumberOfPoints()
Definition: vtkLagrangeTriangle.h:70
vtkLagrangeTriangle::GetNumberOfFaces
int GetNumberOfFaces() override
Return the number of faces in the cell.
Definition: vtkLagrangeTriangle.h:63
vtkLagrangeTriangle::GetCellType
int GetCellType() override
Return the type of cell.
Definition: vtkLagrangeTriangle.h:59
VTK_LAGRANGE_TRIANGLE
Definition: vtkCellType.h:109
vtkLagrangeTriangle::GetFace
vtkCell * GetFace(int) override
Return the face cell from the faceId of the cell.
Definition: vtkLagrangeTriangle.h:65
vtkDataArray
abstract superclass for arrays of numeric data
Definition: vtkDataArray.h:54
vtkCell::EvaluateLocation
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.
vtkLagrangeTriangle::GetOrder
vtkIdType GetOrder() const
Definition: vtkLagrangeTriangle.h:107
vtkLagrangeTriangle::MaximumOrder
static int MaximumOrder()
Definition: vtkLagrangeTriangle.h:69
vtkLagrangeTriangle::GetNumberOfEdges
int GetNumberOfEdges() override
Return the number of edges in the cell.
Definition: vtkLagrangeTriangle.h:62
vtkLagrangeTriangle::ParametricCoordinates
double * ParametricCoordinates
Definition: vtkLagrangeTriangle.h:138
vtkCell::Triangulate
virtual int Triangulate(int index, vtkIdList *ptIds, vtkPoints *pts)=0
Generate simplices of proper dimension.
vtkLagrangeTriangle::RequiresInitialization
int RequiresInitialization() override
Some cells require initialization prior to access.
Definition: vtkLagrangeTriangle.h:61
vtkLagrangeTriangle::NumberOfSubtriangles
vtkIdType NumberOfSubtriangles
Definition: vtkLagrangeTriangle.h:137
vtkCell
abstract class to specify cell behavior
Definition: vtkCell.h:59
vtkCellData
represent and manipulate cell attribute data
Definition: vtkCellData.h:38
vtkIndent
a simple class to control print indentation
Definition: vtkIndent.h:39
vtkCellArray
object to represent cell connectivity
Definition: vtkCellArray.h:50
vtkIncrementalPointLocator
Abstract class in support of both point location and point insertion.
Definition: vtkIncrementalPointLocator.h:51
vtkIdList
list of point or cell ids
Definition: vtkIdList.h:36
vtkLagrangeTriangle::Scalars
vtkDoubleArray * Scalars
Definition: vtkLagrangeTriangle.h:135
vtkLagrangeTriangle
A 2D cell that represents an arbitrary order Lagrange triangle.
Definition: vtkLagrangeTriangle.h:52
vtkTriangle
a cell that represents a triangle
Definition: vtkTriangle.h:41
vtkX3D::order
Definition: vtkX3D.h:440
vtkCell::CellBoundary
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...
vtkLagrangeTriangle::Order
vtkIdType Order
Definition: vtkLagrangeTriangle.h:136
vtkNonLinearCell.h
vtkCell::InterpolateDerivs
virtual void InterpolateDerivs(const double vtkNotUsed(pcoords)[3], double *vtkNotUsed(derivs))
Definition: vtkCell.h:360
vtkCell::GetParametricDistance
virtual double GetParametricDistance(const double pcoords[3])
Return the distance of the parametric coordinate provided to the cell.
vtkCell::EvaluatePosition
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...
vtkCell::GetParametricCoords
virtual double * GetParametricCoords())
Return a contiguous array of parametric coordinates of the points defining this cell.
vtkNonLinearCell
abstract superclass for non-linear cells
Definition: vtkNonLinearCell.h:36
vtkCell::Clip
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.
vtkCell::GetEdge
virtual vtkCell * GetEdge(int edgeId)=0
Return the edge cell from the edgeId of the cell.
vtkNonLinearCell::PrintSelf
void PrintSelf(ostream &os, vtkIndent indent) override
Methods invoked by print to print information about the object including superclasses.
vtkCell::InterpolateFunctions
virtual void InterpolateFunctions(const double vtkNotUsed(pcoords)[3], double *vtkNotUsed(weight))
Compute the interpolation functions/derivatives (aka shape functions/derivatives) No-ops at this leve...
Definition: vtkCell.h:357
MAX_SUBTRIANGLES
#define MAX_SUBTRIANGLES
Definition: vtkLagrangeTriangle.h:45
vtkLagrangeCurve
Definition: vtkLagrangeCurve.h:37
vtkCell::Derivatives
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.
vtkCell::GetParametricCenter
virtual int GetParametricCenter(double pcoords[3])
Return center of the cell in parametric coordinates.
vtkDoubleArray
dynamic, self-adjusting array of double
Definition: vtkDoubleArray.h:41
vtkX3D::index
Definition: vtkX3D.h:246
vtkLagrangeTriangle::Face
vtkTriangle * Face
Definition: vtkLagrangeTriangle.h:134
vtkLagrangeTriangle::GetCellDimension
int GetCellDimension() override
Return the topological dimensional of the cell (0,1,2, or 3).
Definition: vtkLagrangeTriangle.h:60