Utility class for hexahedron cells.
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#include <MeshVizXLM/extractors/MxHexahedronCellExtract.h>

static void  getIsosurfTopology (unsigned char caseId, std::vector< std::pair< size_t, size_t > > &edgeList) 
 Returns the isosurface topology of the associated caseId.


static MbVec3d  getIsoParametricCoord (const MiGeometryI &meshGeometry, const MiVolumeCell *hexahedronCell, const MbVec3d &point) 
 Computes the iso parametric coordinates of the given point in the given cell with the given geometry.


static MbVec3d  getIsoParametricCoord (size_t nodeIndex) 
 Returns the iso parametric coordinates of one of the 8 nodes of a hexahedron cell.


static void  getWeight (const MiGeometryI &meshGeometry, const MiVolumeCell *hexahedronCell, const MbVec3d &point, std::vector< double > &weights) 
 Gets the weights in the given cell of the given point.


static void  getWeight (const MbVec3d &ipcoord, std::vector< double > &weights) 
 Gets the weights of a point defined by its iso parametric coordinates.


static void  getDerivs (const MbVec3d &ipcoord, std::vector< double > &derivs) 
 Gets the value of the derivatives of the shape functions (aka weights) at the point given by its iso parametric coordinates.


static bool  isPointInsideCell (const MiGeometryI &meshGeometry, const MiVolumeCell *hexahedronCell, const MbVec3d &point, std::vector< double > &weights) 
 Checks if a point is inside or outside an hexahedron cell.


static double  getVolume (const MiGeometryI &meshGeometry, const MiVolumeCell *hexahedronCell) 
 Gets the volume of the cell.


static MbVec3d  getFacetNormal (size_t facetId, const MiGeometryI &meshGeometry, const MiVolumeCell *pyramidCell) 
 Gets the normal of the given facet in a tetrahedron cell.


static double  getLongestEdgeLength (const MiGeometryI &meshGeometry, const MiVolumeCell *cell) 
 Gets the longest edge of a hexahedron cell.


static double  getShortestEdgeLength (const MiGeometryI &meshGeometry, const MiVolumeCell *cell) 
 Gets the shortest edge of a hexahedron cell.


Utility class for hexahedron cells.
Utility class that provides a static implementation of the MiVolumeCell interface methods for a hexahedron cell. This class is provided to make it easier to create a class that implements the MiVolumeCell interface for a hexahedron cell.
The following image shows the node numbering and the face numbering used by this class. The isosurface topology (see getIsosurfTopology()), weights (see getWeight()), and parametric coordinates (see getIsoParametricCoord()) are defined according to this node numbering.
Nodes and faces numbering
Definition at line 59 of file MxHexahedronCellExtract.h.
◆ getDerivs()
static void MxHexahedronCellExtract::getDerivs 
( 
const MbVec3d & 
ipcoord, 


std::vector< double > & 
derivs 

) 
 

static 
Gets the value of the derivatives of the shape functions (aka weights) at the point given by its iso parametric coordinates.
 Parameters

[in]  ipcoord  The iso parametric coordinates of the input point. The reference space for the iso parametric coordinates is assumed to be [01]. Thus any point inside the cell has iso parametric coordinates in the interval [01]. 
[out]  derivs  This method computes the 24 values derivs[023].
It assumes the derivs vector array has been already allocated. Its size must be set to 24 (at least) before calling this method, using for instance the derivs.resize(24) 
◆ getFacetNormal()
Gets the normal of the given facet in a tetrahedron cell.
◆ getIsoParametricCoord() [1/2]
Computes the iso parametric coordinates of the given point in the given cell with the given geometry.
As computing the iso parametric coordinates of a point needs the coordinates of the cell's nodes, the given hexahedronCell is assumed to contain 8 nodes.
 Note
 Each node coordinate of the given cell is retrieved in the following way:
meshGeometry.getCoord(hexahedronCell>getNodeIndex(i))
for each i in the range [07].
 Parameters

[in]  meshGeometry  The geometry of the mesh. 
[in]  hexahedronCell  The input cell. 
[in]  point  The input point given in the same space coordinate as meshGeometry. 
◆ getIsoParametricCoord() [2/2]
static MbVec3d MxHexahedronCellExtract::getIsoParametricCoord 
( 
size_t 
nodeIndex  ) 


static 
Returns the iso parametric coordinates of one of the 8 nodes of a hexahedron cell.
This static method helps to implement the method MiCell::getIsoParametricCoord().
 Parameters

[in]  nodeIndex  Must be defined in the range [07] 
◆ getIsosurfTopology()
static void MxHexahedronCellExtract::getIsosurfTopology 
( 
unsigned char 
caseId, 


std::vector< std::pair< size_t, size_t > > & 
edgeList 

) 
 

static 
Returns the isosurface topology of the associated caseId.
This method can be used in the getIsosurfTopology(...) implementation of an hexahedron cell interface to return the information to the isosurface extraction module.
◆ getLongestEdgeLength()
static double MxHexahedronCellExtract::getLongestEdgeLength 
( 
const MiGeometryI & 
meshGeometry, 


const MiVolumeCell * 
cell 

) 
 

static 
Gets the longest edge of a hexahedron cell.
◆ getShortestEdgeLength()
static double MxHexahedronCellExtract::getShortestEdgeLength 
( 
const MiGeometryI & 
meshGeometry, 


const MiVolumeCell * 
cell 

) 
 

static 
Gets the shortest edge of a hexahedron cell.
◆ getVolume()
static double MxHexahedronCellExtract::getVolume 
( 
const MiGeometryI & 
meshGeometry, 


const MiVolumeCell * 
hexahedronCell 

) 
 

static 
Gets the volume of the cell.
◆ getWeight() [1/2]
static void MxHexahedronCellExtract::getWeight 
( 
const MbVec3d & 
ipcoord, 


std::vector< double > & 
weights 

) 
 

inlinestatic 
Gets the weights of a point defined by its iso parametric coordinates.
This static method helps to implement the method MiCell::getWeight(ipcoord,weights) for a hexahedron cell.
 Parameters

[in]  ipcoord  The iso parametric coordinates of the input point. The reference space for the iso parametric coordinates is assumed to be [01]. Thus any point inside the cell has iso parametric coordinates in the interval [01]. 
[out]  weights  This method computes the 8 values weights[07].
It assumes the weights vector array has been already allocated. Its size must be set to 8 (at least) before calling this method, using for instance the weights.resize(8) 
Definition at line 129 of file MxHexahedronCellExtract.h.
◆ getWeight() [2/2]
static void MxHexahedronCellExtract::getWeight 
( 
const MiGeometryI & 
meshGeometry, 


const MiVolumeCell * 
hexahedronCell, 


const MbVec3d & 
point, 


std::vector< double > & 
weights 

) 
 

inlinestatic 
Gets the weights in the given cell of the given point.
This static method helps to implement the method MiCell::getWeight(meshGeometry,point,weights) for a hexahedron cell. As computing the weights of a point needs the coordinates of the cell's nodes, the given hexahedronCell is assumed to contain 8 nodes.
 Note
 Each node coordinate of the given cell is retrieved in the following way:
meshGeometry.getCoord(hexahedronCell>getNodeIndex(i))
for each i in the range [07].
 Parameters

[in]  meshGeometry  The geometry of the mesh. 
[in]  hexahedronCell  The input cell. 
[in]  point  The input point given in the same space coordinate as meshGeometry. 
[out]  weights  This method computes the 8 values weights[07]. It assumes the weights vector array has been already allocated. Its size must be set to 8 (at least) before calling this method, using for instance the weights.resize(8) 
Definition at line 111 of file MxHexahedronCellExtract.h.
◆ isPointInsideCell()
static bool MxHexahedronCellExtract::isPointInsideCell 
( 
const MiGeometryI & 
meshGeometry, 


const MiVolumeCell * 
hexahedronCell, 


const MbVec3d & 
point, 


std::vector< double > & 
weights 

) 
 

inlinestatic 
Checks if a point is inside or outside an hexahedron cell.
This static method helps to implement the method MiCell::isPointInsideCell(meshGeometry,point,weights) for a hexahedron cell.
 Parameters

[in]  meshGeometry  The geometry of the mesh. 
[in]  hexahedronCell  The input cell. 
[in]  point  The input point given in the same space coordinate as meshGeometry. 
[out]  weights  This method computes the 8 values weights[07] if the point is inside the cell. It assumes the weights vector array has been already allocated. Its size must be set to 8 (at least) before calling this method, using for instance the weights.resize(8) 
 Returns
 true if the point is inside the cell.
Definition at line 173 of file MxHexahedronCellExtract.h.
The documentation for this class was generated from the following file: