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vtkQuadraticHexahedron.h
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1 /*=========================================================================
2 
3  Program: Visualization Toolkit
4  Module: vtkQuadraticHexahedron.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 =========================================================================*/
37 #ifndef vtkQuadraticHexahedron_h
38 #define vtkQuadraticHexahedron_h
39 
40 #include "vtkCommonDataModelModule.h" // For export macro
41 #include "vtkNonLinearCell.h"
42 
43 class vtkQuadraticEdge;
44 class vtkQuadraticQuad;
45 class vtkHexahedron;
46 class vtkDoubleArray;
47 
48 class VTKCOMMONDATAMODEL_EXPORT vtkQuadraticHexahedron : public vtkNonLinearCell
49 {
50 public:
53  void PrintSelf(ostream& os, vtkIndent indent) override;
54 
56 
60  int GetCellType() override {return VTK_QUADRATIC_HEXAHEDRON;}
61  int GetCellDimension() override {return 3;}
62  int GetNumberOfEdges() override {return 12;}
63  int GetNumberOfFaces() override {return 6;}
64  vtkCell *GetEdge(int) override;
65  vtkCell *GetFace(int) override;
67 
68  int CellBoundary(int subId, const double pcoords[3], vtkIdList *pts) override;
69  void Contour(double value, vtkDataArray *cellScalars,
71  vtkCellArray *lines, vtkCellArray *polys,
72  vtkPointData *inPd, vtkPointData *outPd,
73  vtkCellData *inCd, vtkIdType cellId, vtkCellData *outCd) override;
74  int EvaluatePosition(const double x[3], double closestPoint[3],
75  int& subId, double pcoords[3],
76  double& dist2, double weights[]) override;
77  void EvaluateLocation(int& subId, const double pcoords[3], double x[3],
78  double *weights) override;
79  int Triangulate(int index, vtkIdList *ptIds, vtkPoints *pts) override;
80  void Derivatives(int subId, const double pcoords[3], const double *values,
81  int dim, double *derivs) override;
82  double *GetParametricCoords() override;
83 
89  void Clip(double value, vtkDataArray *cellScalars,
90  vtkIncrementalPointLocator *locator, vtkCellArray *tetras,
91  vtkPointData *inPd, vtkPointData *outPd,
92  vtkCellData *inCd, vtkIdType cellId, vtkCellData *outCd,
93  int insideOut) override;
94 
99  int IntersectWithLine(const double p1[3], const double p2[3], double tol, double& t,
100  double x[3], double pcoords[3], int& subId) override;
101 
102 
106  static void InterpolationFunctions(const double pcoords[3], double weights[20]);
110  static void InterpolationDerivs(const double pcoords[3], double derivs[60]);
112 
116  void InterpolateFunctions(const double pcoords[3], double weights[20]) override
117  {
119  }
120  void InterpolateDerivs(const double pcoords[3], double derivs[60]) override
121  {
123  }
125 
126 
130  static int *GetEdgeArray(int edgeId);
131  static int *GetFaceArray(int faceId);
133 
139  void JacobianInverse(const double pcoords[3], double **inverse, double derivs[60]);
140 
141 protected:
144 
152 
153  void Subdivide(vtkPointData *inPd, vtkCellData *inCd, vtkIdType cellId,
154  vtkDataArray *cellScalars);
155 
156 private:
158  void operator=(const vtkQuadraticHexahedron&) = delete;
159 };
160 
161 #endif
162 
163 
vtkPoints
represent and manipulate 3D points
Definition: vtkPoints.h:40
vtkQuadraticHexahedron::JacobianInverse
void JacobianInverse(const double pcoords[3], double **inverse, double derivs[60])
Given parametric coordinates compute inverse Jacobian transformation matrix.
vtkQuadraticHexahedron::CellScalars
vtkDoubleArray * CellScalars
Definition: vtkQuadraticHexahedron.h:150
vtkHexahedron
a cell that represents a linear 3D hexahedron
Definition: vtkHexahedron.h:48
vtkPointData
represent and manipulate point attribute data
Definition: vtkPointData.h:38
vtkX3D::value
@ value
Definition: vtkX3D.h:220
vtkIdType
int vtkIdType
Definition: vtkType.h:347
vtkQuadraticHexahedron::InterpolationDerivs
static void InterpolationDerivs(const double pcoords[3], double derivs[60])
vtkQuadraticHexahedron::CellBoundary
int CellBoundary(int subId, const double pcoords[3], vtkIdList *pts) override
Given parametric coordinates of a point, return the closest cell boundary, and whether the point is i...
vtkQuadraticHexahedron::EvaluatePosition
int EvaluatePosition(const double x[3], double closestPoint[3], int &subId, double pcoords[3], double &dist2, double weights[]) override
Given a point x[3] return inside(=1), outside(=0) cell, or (-1) computational problem encountered; ev...
vtkQuadraticHexahedron::Clip
void Clip(double value, vtkDataArray *cellScalars, vtkIncrementalPointLocator *locator, vtkCellArray *tetras, vtkPointData *inPd, vtkPointData *outPd, vtkCellData *inCd, vtkIdType cellId, vtkCellData *outCd, int insideOut) override
Clip this quadratic hexahedron using scalar value provided.
vtkQuadraticHexahedron::Derivatives
void Derivatives(int subId, const double pcoords[3], const double *values, int dim, double *derivs) override
Compute derivatives given cell subId and parametric coordinates.
vtkQuadraticHexahedron::GetFace
vtkCell * GetFace(int) override
Return the face cell from the faceId of the cell.
vtkQuadraticHexahedron
cell represents a parabolic, 20-node isoparametric hexahedron
Definition: vtkQuadraticHexahedron.h:49
vtkDataArray
abstract superclass for arrays of numeric data
Definition: vtkDataArray.h:55
vtkQuadraticHexahedron::GetEdgeArray
static int * GetEdgeArray(int edgeId)
Return the ids of the vertices defining edge/face (edgeId/‘faceId’).
vtkQuadraticQuad
cell represents a parabolic, 8-node isoparametric quad
Definition: vtkQuadraticQuad.h:47
vtkQuadraticHexahedron::GetNumberOfFaces
int GetNumberOfFaces() override
Return the number of faces in the cell.
Definition: vtkQuadraticHexahedron.h:63
vtkQuadraticHexahedron::~vtkQuadraticHexahedron
~vtkQuadraticHexahedron() override
vtkQuadraticHexahedron::Scalars
vtkDoubleArray * Scalars
Definition: vtkQuadraticHexahedron.h:151
vtkQuadraticHexahedron::Face
vtkQuadraticQuad * Face
Definition: vtkQuadraticHexahedron.h:146
vtkQuadraticHexahedron::Edge
vtkQuadraticEdge * Edge
Definition: vtkQuadraticHexahedron.h:145
vtkQuadraticHexahedron::PointData
vtkPointData * PointData
Definition: vtkQuadraticHexahedron.h:148
vtkQuadraticHexahedron::Triangulate
int Triangulate(int index, vtkIdList *ptIds, vtkPoints *pts) override
Generate simplices of proper dimension.
vtkQuadraticHexahedron::EvaluateLocation
void EvaluateLocation(int &subId, const double pcoords[3], double x[3], double *weights) override
Determine global coordinate (x[3]) from subId and parametric coordinates.
vtkQuadraticHexahedron::GetEdge
vtkCell * GetEdge(int) override
Return the edge cell from the edgeId of the cell.
vtkQuadraticHexahedron::Subdivide
void Subdivide(vtkPointData *inPd, vtkCellData *inCd, vtkIdType cellId, vtkDataArray *cellScalars)
vtkQuadraticHexahedron::Hex
vtkHexahedron * Hex
Definition: vtkQuadraticHexahedron.h:147
vtkCell
abstract class to specify cell behavior
Definition: vtkCell.h:60
vtkQuadraticHexahedron::IntersectWithLine
int IntersectWithLine(const double p1[3], const double p2[3], double tol, double &t, double x[3], double pcoords[3], int &subId) override
Line-edge intersection.
vtkCellData
represent and manipulate cell attribute data
Definition: vtkCellData.h:39
vtkQuadraticHexahedron::GetParametricCoords
double * GetParametricCoords() override
Return a contiguous array of parametric coordinates of the points defining this cell.
vtkIndent
a simple class to control print indentation
Definition: vtkIndent.h:40
vtkCellArray
object to represent cell connectivity
Definition: vtkCellArray.h:51
vtkIncrementalPointLocator
Abstract class in support of both point location and point insertion.
Definition: vtkIncrementalPointLocator.h:52
vtkQuadraticHexahedron::vtkQuadraticHexahedron
vtkQuadraticHexahedron()
vtkIdList
list of point or cell ids
Definition: vtkIdList.h:37
vtkQuadraticHexahedron::CellData
vtkCellData * CellData
Definition: vtkQuadraticHexahedron.h:149
vtkQuadraticHexahedron::Contour
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.
vtkNonLinearCell.h
vtkNonLinearCell
abstract superclass for non-linear cells
Definition: vtkNonLinearCell.h:37
vtkQuadraticHexahedron::InterpolateFunctions
void InterpolateFunctions(const double pcoords[3], double weights[20]) override
Compute the interpolation functions/derivatives (aka shape functions/derivatives)
Definition: vtkQuadraticHexahedron.h:116
vtkQuadraticHexahedron::New
static vtkQuadraticHexahedron * New()
vtkQuadraticHexahedron::GetCellDimension
int GetCellDimension() override
Return the topological dimensional of the cell (0,1,2, or 3).
Definition: vtkQuadraticHexahedron.h:61
vtkQuadraticHexahedron::InterpolateDerivs
void InterpolateDerivs(const double pcoords[3], double derivs[60]) override
Definition: vtkQuadraticHexahedron.h:120
vtkQuadraticHexahedron::PrintSelf
void PrintSelf(ostream &os, vtkIndent indent) override
Methods invoked by print to print information about the object including superclasses.
vtkDoubleArray
dynamic, self-adjusting array of double
Definition: vtkDoubleArray.h:42
VTK_QUADRATIC_HEXAHEDRON
@ VTK_QUADRATIC_HEXAHEDRON
Definition: vtkCellType.h:69
vtkQuadraticHexahedron::InterpolationFunctions
static void InterpolationFunctions(const double pcoords[3], double weights[20])
vtkQuadraticHexahedron::GetCellType
int GetCellType() override
Implement the vtkCell API.
Definition: vtkQuadraticHexahedron.h:60
vtkX3D::index
@ index
Definition: vtkX3D.h:246
vtkQuadraticEdge
cell represents a parabolic, isoparametric edge
Definition: vtkQuadraticEdge.h:44
vtkQuadraticHexahedron::GetNumberOfEdges
int GetNumberOfEdges() override
Return the number of edges in the cell.
Definition: vtkQuadraticHexahedron.h:62
vtkQuadraticHexahedron::GetFaceArray
static int * GetFaceArray(int faceId)