VTK  9.0.1
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 =========================================================================*/
34 #ifndef vtkQuadraticHexahedron_h
35 #define vtkQuadraticHexahedron_h
36 
37 #include "vtkCommonDataModelModule.h" // For export macro
38 #include "vtkNonLinearCell.h"
39 
40 class vtkQuadraticEdge;
41 class vtkQuadraticQuad;
42 class vtkHexahedron;
43 class vtkDoubleArray;
44 
45 class VTKCOMMONDATAMODEL_EXPORT vtkQuadraticHexahedron : public vtkNonLinearCell
46 {
47 public:
50  void PrintSelf(ostream& os, vtkIndent indent) override;
51 
53 
57  int GetCellType() override { return VTK_QUADRATIC_HEXAHEDRON; }
58  int GetCellDimension() override { return 3; }
59  int GetNumberOfEdges() override { return 12; }
60  int GetNumberOfFaces() override { return 6; }
61  vtkCell* GetEdge(int) override;
62  vtkCell* GetFace(int) override;
64 
65  int CellBoundary(int subId, const double pcoords[3], vtkIdList* pts) override;
66  void Contour(double value, vtkDataArray* cellScalars, vtkIncrementalPointLocator* locator,
67  vtkCellArray* verts, vtkCellArray* lines, vtkCellArray* polys, vtkPointData* inPd,
68  vtkPointData* outPd, vtkCellData* inCd, vtkIdType cellId, vtkCellData* outCd) override;
69  int EvaluatePosition(const double x[3], double closestPoint[3], int& subId, double pcoords[3],
70  double& dist2, double weights[]) override;
71  void EvaluateLocation(int& subId, const double pcoords[3], double x[3], double* weights) override;
72  int Triangulate(int index, vtkIdList* ptIds, vtkPoints* pts) override;
74  int subId, const double pcoords[3], const double* values, int dim, double* derivs) override;
75  double* GetParametricCoords() override;
76 
82  void Clip(double value, vtkDataArray* cellScalars, vtkIncrementalPointLocator* locator,
83  vtkCellArray* tetras, vtkPointData* inPd, vtkPointData* outPd, vtkCellData* inCd,
84  vtkIdType cellId, vtkCellData* outCd, int insideOut) override;
85 
90  int IntersectWithLine(const double p1[3], const double p2[3], double tol, double& t, double x[3],
91  double pcoords[3], int& subId) override;
92 
93  static void InterpolationFunctions(const double pcoords[3], double weights[20]);
94  static void InterpolationDerivs(const double pcoords[3], double derivs[60]);
96 
100  void InterpolateFunctions(const double pcoords[3], double weights[20]) override
101  {
103  }
104  void InterpolateDerivs(const double pcoords[3], double derivs[60]) override
105  {
107  }
109 
110 
117  static const vtkIdType* GetEdgeArray(vtkIdType edgeId);
118  static const vtkIdType* GetFaceArray(vtkIdType faceId);
120 
126  void JacobianInverse(const double pcoords[3], double** inverse, double derivs[60]);
127 
128 protected:
131 
139 
140  void Subdivide(
141  vtkPointData* inPd, vtkCellData* inCd, vtkIdType cellId, vtkDataArray* cellScalars);
142 
143 private:
145  void operator=(const vtkQuadraticHexahedron&) = delete;
146 };
147 
148 #endif
vtkPoints
represent and manipulate 3D points
Definition: vtkPoints.h:34
vtkQuadraticHexahedron::GetFaceArray
static const vtkIdType * GetFaceArray(vtkIdType faceId)
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:137
vtkHexahedron
a cell that represents a linear 3D hexahedron
Definition: vtkHexahedron.h:42
vtkPointData
represent and manipulate point attribute data
Definition: vtkPointData.h:32
vtkX3D::value
@ value
Definition: vtkX3D.h:226
vtkIdType
int vtkIdType
Definition: vtkType.h:338
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:46
vtkDataArray
abstract superclass for arrays of numeric data
Definition: vtkDataArray.h:50
vtkQuadraticQuad
cell represents a parabolic, 8-node isoparametric quad
Definition: vtkQuadraticQuad.h:44
vtkQuadraticHexahedron::GetNumberOfFaces
int GetNumberOfFaces() override
Return the number of faces in the cell.
Definition: vtkQuadraticHexahedron.h:60
vtkQuadraticHexahedron::~vtkQuadraticHexahedron
~vtkQuadraticHexahedron() override
vtkQuadraticHexahedron::Scalars
vtkDoubleArray * Scalars
Definition: vtkQuadraticHexahedron.h:138
vtkQuadraticHexahedron::Face
vtkQuadraticQuad * Face
Definition: vtkQuadraticHexahedron.h:133
vtkQuadraticHexahedron::Edge
vtkQuadraticEdge * Edge
Definition: vtkQuadraticHexahedron.h:132
vtkQuadraticHexahedron::PointData
vtkPointData * PointData
Definition: vtkQuadraticHexahedron.h:135
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:134
vtkCell
abstract class to specify cell behavior
Definition: vtkCell.h:57
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:33
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:34
vtkCellArray
object to represent cell connectivity
Definition: vtkCellArray.h:180
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:31
vtkQuadraticHexahedron::CellData
vtkCellData * CellData
Definition: vtkQuadraticHexahedron.h:136
vtkQuadraticHexahedron::GetEdgeArray
static const vtkIdType * GetEdgeArray(vtkIdType edgeId)
Return the ids of the vertices defining edge/face (edgeId/‘faceId’).
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:100
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:58
vtkQuadraticHexahedron::InterpolateDerivs
void InterpolateDerivs(const double pcoords[3], double derivs[60]) override
Definition: vtkQuadraticHexahedron.h:104
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:36
VTK_QUADRATIC_HEXAHEDRON
@ VTK_QUADRATIC_HEXAHEDRON
Definition: vtkCellType.h:70
vtkQuadraticHexahedron::InterpolationFunctions
static void InterpolationFunctions(const double pcoords[3], double weights[20])
vtkQuadraticHexahedron::GetCellType
int GetCellType() override
Implement the vtkCell API.
Definition: vtkQuadraticHexahedron.h:57
vtkX3D::index
@ index
Definition: vtkX3D.h:252
vtkQuadraticEdge
cell represents a parabolic, isoparametric edge
Definition: vtkQuadraticEdge.h:41
vtkQuadraticHexahedron::GetNumberOfEdges
int GetNumberOfEdges() override
Return the number of edges in the cell.
Definition: vtkQuadraticHexahedron.h:59