You cannot select more than 25 topics
Topics must start with a letter or number, can include dashes ('-') and can be up to 35 characters long.
188 lines
6.4 KiB
C++
188 lines
6.4 KiB
C++
/*=========================================================================
|
|
|
|
Program: Visualization Toolkit
|
|
Module: vtkTriQuadraticHexahedron.h
|
|
|
|
Copyright (c) Ken Martin, Will Schroeder, Bill Lorensen
|
|
All rights reserved.
|
|
See Copyright.txt or http://www.kitware.com/Copyright.htm for details.
|
|
|
|
This software is distributed WITHOUT ANY WARRANTY; without even
|
|
the implied warranty of MERCHANTABILITY or FITNESS FOR A PARTICULAR
|
|
PURPOSE. See the above copyright notice for more information.
|
|
|
|
=========================================================================*/
|
|
/**
|
|
* @class vtkTriQuadraticHexahedron
|
|
* @brief cell represents a parabolic, 27-node isoparametric hexahedron
|
|
*
|
|
* vtkTriQuadraticHexahedron is a concrete implementation of vtkNonLinearCell to
|
|
* represent a three-dimensional, 27-node isoparametric triquadratic
|
|
* hexahedron. The interpolation is the standard finite element, triquadratic
|
|
* isoparametric shape function. The cell includes 8 edge nodes, 12 mid-edge nodes,
|
|
* 6 mid-face nodes and one mid-volume node. The ordering of the 27 points defining the
|
|
* cell is point ids (0-7,8-19, 20-25, 26)
|
|
* where point ids 0-7 are the eight corner vertices of the cube; followed by
|
|
* twelve midedge nodes (8-19); followed by 6 mid-face nodes (20-25) and the last node (26)
|
|
* is the mid-volume node. Note that these midedge nodes correspond lie
|
|
* on the edges defined by (0,1), (1,2), (2,3), (3,0), (4,5), (5,6), (6,7),
|
|
* (7,4), (0,4), (1,5), (2,6), (3,7). The mid-surface nodes lies on the faces
|
|
* defined by (first edge nodes id's, than mid-edge nodes id's):
|
|
* (0,1,5,4;8,17,12,16), (1,2,6,5;9,18,13,17), (2,3,7,6,10,19,14,18),
|
|
* (3,0,4,7;11,16,15,19), (0,1,2,3;8,9,10,11), (4,5,6,7;12,13,14,15).
|
|
* The last point lies in the center of the cell (0,1,2,3,4,5,6,7).
|
|
*
|
|
* \verbatim
|
|
*
|
|
* top
|
|
* 7--14--6
|
|
* | |
|
|
* 15 25 13
|
|
* | |
|
|
* 4--12--5
|
|
*
|
|
* middle
|
|
* 19--23--18
|
|
* | |
|
|
* 20 26 21
|
|
* | |
|
|
* 16--22--17
|
|
*
|
|
* bottom
|
|
* 3--10--2
|
|
* | |
|
|
* 11 24 9
|
|
* | |
|
|
* 0-- 8--1
|
|
*
|
|
* \endverbatim
|
|
*
|
|
*
|
|
* @sa
|
|
* vtkQuadraticEdge vtkQuadraticTriangle vtkQuadraticTetra
|
|
* vtkQuadraticQuad vtkQuadraticPyramid vtkQuadraticWedge
|
|
* vtkBiQuadraticQuad
|
|
*
|
|
* @par Thanks:
|
|
* Thanks to Soeren Gebbert who developed this class and
|
|
* integrated it into VTK 5.0.
|
|
*/
|
|
|
|
#ifndef vtkTriQuadraticHexahedron_h
|
|
#define vtkTriQuadraticHexahedron_h
|
|
|
|
#include "vtkCommonDataModelModule.h" // For export macro
|
|
#include "vtkNonLinearCell.h"
|
|
|
|
class vtkQuadraticEdge;
|
|
class vtkBiQuadraticQuad;
|
|
class vtkHexahedron;
|
|
class vtkDoubleArray;
|
|
|
|
class VTKCOMMONDATAMODEL_EXPORT vtkTriQuadraticHexahedron : public vtkNonLinearCell
|
|
{
|
|
public:
|
|
static vtkTriQuadraticHexahedron *New ();
|
|
vtkTypeMacro(vtkTriQuadraticHexahedron,vtkNonLinearCell);
|
|
void PrintSelf (ostream & os, vtkIndent indent) VTK_OVERRIDE;
|
|
|
|
//@{
|
|
/**
|
|
* Implement the vtkCell API. See the vtkCell API for descriptions
|
|
* of these methods.
|
|
*/
|
|
int GetCellType() VTK_OVERRIDE { return VTK_TRIQUADRATIC_HEXAHEDRON; }
|
|
int GetCellDimension() VTK_OVERRIDE { return 3; }
|
|
int GetNumberOfEdges() VTK_OVERRIDE { return 12; }
|
|
int GetNumberOfFaces() VTK_OVERRIDE { return 6; }
|
|
vtkCell *GetEdge (int) VTK_OVERRIDE;
|
|
vtkCell *GetFace (int) VTK_OVERRIDE;
|
|
//@}
|
|
|
|
int CellBoundary (int subId, double pcoords[3], vtkIdList * pts) VTK_OVERRIDE;
|
|
void Contour (double value, vtkDataArray * cellScalars,
|
|
vtkIncrementalPointLocator * locator, vtkCellArray * verts,
|
|
vtkCellArray * lines, vtkCellArray * polys,
|
|
vtkPointData * inPd, vtkPointData * outPd, vtkCellData * inCd,
|
|
vtkIdType cellId, vtkCellData * outCd) VTK_OVERRIDE;
|
|
int EvaluatePosition (double x[3], double *closestPoint,
|
|
int &subId, double pcoords[3], double &dist2, double *weights) VTK_OVERRIDE;
|
|
void EvaluateLocation (int &subId, double pcoords[3],
|
|
double x[3], double *weights) VTK_OVERRIDE;
|
|
int Triangulate (int index, vtkIdList * ptIds, vtkPoints * pts) VTK_OVERRIDE;
|
|
void Derivatives (int subId, double pcoords[3], double *values,
|
|
int dim, double *derivs) VTK_OVERRIDE;
|
|
double *GetParametricCoords () VTK_OVERRIDE;
|
|
|
|
/**
|
|
* Clip this triquadratic hexahedron using scalar value provided. Like
|
|
* contouring, except that it cuts the hex to produce linear
|
|
* tetrahedron.
|
|
*/
|
|
void Clip (double value, vtkDataArray * cellScalars,
|
|
vtkIncrementalPointLocator * locator, vtkCellArray * tetras,
|
|
vtkPointData * inPd, vtkPointData * outPd,
|
|
vtkCellData * inCd, vtkIdType cellId, vtkCellData * outCd,
|
|
int insideOut) VTK_OVERRIDE;
|
|
|
|
/**
|
|
* Line-edge intersection. Intersection has to occur within [0,1] parametric
|
|
* coordinates and with specified tolerance.
|
|
*/
|
|
int IntersectWithLine (double p1[3], double p2[3], double tol, double &t,
|
|
double x[3], double pcoords[3], int &subId) VTK_OVERRIDE;
|
|
|
|
/**
|
|
* @deprecated Replaced by vtkTriQuadraticHexahedron::InterpolateFunctions as of VTK 5.2
|
|
*/
|
|
static void InterpolationFunctions (double pcoords[3], double weights[27]);
|
|
/**
|
|
* @deprecated Replaced by vtkTriQuadraticHexahedron::InterpolateDerivs as of VTK 5.2
|
|
*/
|
|
static void InterpolationDerivs (double pcoords[3], double derivs[81]);
|
|
//@{
|
|
/**
|
|
* Compute the interpolation functions/derivatives
|
|
* (aka shape functions/derivatives)
|
|
*/
|
|
void InterpolateFunctions (double pcoords[3], double weights[27]) VTK_OVERRIDE
|
|
{
|
|
vtkTriQuadraticHexahedron::InterpolationFunctions(pcoords,weights);
|
|
}
|
|
void InterpolateDerivs (double pcoords[3], double derivs[81]) VTK_OVERRIDE
|
|
{
|
|
vtkTriQuadraticHexahedron::InterpolationDerivs(pcoords,derivs);
|
|
}
|
|
//@}
|
|
//@{
|
|
/**
|
|
* Return the ids of the vertices defining edge/face (`edgeId`/`faceId').
|
|
* Ids are related to the cell, not to the dataset.
|
|
*/
|
|
static int *GetEdgeArray(int edgeId);
|
|
static int *GetFaceArray(int faceId);
|
|
//@}
|
|
|
|
/**
|
|
* Given parametric coordinates compute inverse Jacobian transformation
|
|
* matrix. Returns 9 elements of 3x3 inverse Jacobian plus interpolation
|
|
* function derivatives.
|
|
*/
|
|
void JacobianInverse (double pcoords[3], double **inverse, double derivs[81]);
|
|
|
|
protected:
|
|
vtkTriQuadraticHexahedron ();
|
|
~vtkTriQuadraticHexahedron () VTK_OVERRIDE;
|
|
|
|
vtkQuadraticEdge *Edge;
|
|
vtkBiQuadraticQuad *Face;
|
|
vtkHexahedron *Hex;
|
|
vtkDoubleArray *Scalars;
|
|
|
|
private:
|
|
vtkTriQuadraticHexahedron (const vtkTriQuadraticHexahedron &) VTK_DELETE_FUNCTION;
|
|
void operator = (const vtkTriQuadraticHexahedron &) VTK_DELETE_FUNCTION;
|
|
};
|
|
|
|
#endif
|