MxQuadrangleCellExtract Class Reference
[Cell]

Utility class for quadrangle cells. More...

#include <MeshVizXLM/extractors/MxQuadrangleCellExtract.h>

List of all members.

Static Public Member Functions
static MbVec3d	getIsoParametricCoord (const MiGeometryI &meshGeometry, const MiSurfaceCell *quadrangleCell, const MbVec3d &point)
static MbVec3d	getIsoParametricCoord (size_t nodeIndex)
static void	getWeight (const MiGeometryI &meshGeometry, const MiSurfaceCell *quadrangleCell, const MbVec3d &point, std::vector< double > &weights)
static void	getWeight (const MbVec3d &ipcoord, std::vector< double > &weights)
static void	getDerivs (const MbVec3d &ipcoord, std::vector< double > &derivs)
static bool	isPointInsideCell (const MiGeometryI &meshGeometry, const MiSurfaceCell *quadrangleCell, const MbVec3d &point, std::vector< double > &weights)
static double	getLongestEdgeLength (const MiGeometryI &meshGeometry, const MiSurfaceCell *cell)
static double	getShortestEdgeLength (const MiGeometryI &meshGeometry, const MiSurfaceCell *cell)

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Detailed Description

Utility class for quadrangle cells.

Utility class that provides a static implementation of the MiSurfaceCell's methods in a quadrangle cell. This class is provided to make easier the creation of a class in the application that implements the MiSurfaceCell interface for a quadrangle cell.

• value of iso parametric coordinates in a linear quadrangle cell. (see getIsoParametricCoord())
• value of the 4 weights (aka shape functions) in a quadrangle cell. (see getWeight())
• localization test (see isPointInsideCell())

The following image shows the nodes numbering used by this class. The weights (see getWeight()), and parametric coordinates (see getIsoParametricCoord()) are defined according to this node numbering.

Nodes numbering

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Member Function Documentation

static void MxQuadrangleCellExtract::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 [0-1]. Thus any point inside the cell has iso parametric coordinates in the interval [0-1].
[out]	derivs	This method computes the 12 values derivs[0-11]. It assumes the derivs vector array has been already allocated. Its size must be set to 12 (at least) before calling this method, using for instance the derivs::resize(12)

static MbVec3d MxQuadrangleCellExtract::getIsoParametricCoord

(

size_t

nodeIndex

)

[static]

Returns the iso parametric coordinates of one of the 4 nodes of a quadrangle cell.

This static method helps to implement the method MiCell::getIsoParametricCoord().

Parameters:

[in]

nodeIndex

Must be defined in the range [0-3]

static MbVec3d MxQuadrangleCellExtract::getIsoParametricCoord	(	const MiGeometryI &	meshGeometry,
		const MiSurfaceCell *	quadrangleCell,
		const MbVec3d &	point
	)			[static]

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 quadrangleCell is assumed to contain 4 nodes.

Note:

Each node coordinate of the given cell is retrieved in the following way:

     meshGeometry.getCoord(quadrangleCell->getNodeIndex(i)) 
    

for each i in the range [0-3].

Parameters:

[in]	meshGeometry	The geometry of the mesh.
[in]	quadrangleCell	The input cell.
[in]	point	The input point given in the same space coordinate as meshGeometry.

static double MxQuadrangleCellExtract::getLongestEdgeLength	(	const MiGeometryI &	meshGeometry,
		const MiSurfaceCell *	cell
	)			[static]

Gets the longest edge of a quadrangle cell.

static double MxQuadrangleCellExtract::getShortestEdgeLength	(	const MiGeometryI &	meshGeometry,
		const MiSurfaceCell *	cell
	)			[static]

Gets the shortest edge of a quadrangle cell.

static void MxQuadrangleCellExtract::getWeight	(	const MbVec3d &	ipcoord,
		std::vector< double > &	weights
	)			[inline, static]

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 quadrangle cell.

Parameters:

[in]	ipcoord	The iso parametric coordinates of the input point. The reference space for the iso parametric coordinates is assumed to be [0-1]. Thus any point inside the cell has iso parametric coordinates in the interval [0-1].
[out]	weights	This method computes the 4 values weights[0-3]. It assumes the weights vector array has been already allocated. Its size must be set to 4 (at least) before calling this method, using for instance the weights::resize(4)

static void MxQuadrangleCellExtract::getWeight	(	const MiGeometryI &	meshGeometry,
		const MiSurfaceCell *	quadrangleCell,
		const MbVec3d &	point,
		std::vector< double > &	weights
	)			[inline, static]

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 quadrangle cell. As computing the weights of a point needs the coordinates of the cell's nodes, the given quadrangleCell is assumed to contain 4 nodes.

Note:

Each node coordinate of the given cell is retrieved in the following way:

     meshGeometry.getCoord(quadrangleCell->getNodeIndex(i)) 
    

for each i in the range [0-3].

Parameters:

[in]	meshGeometry	The geometry of the mesh.
[in]	quadrangleCell	The input cell.
[in]	point	The input point given in the same space coordinate as meshGeometry.
[out]	weights	This method computes the 4 values weights[0-3]. It assumes the weights vector array has been already allocated. Its size must be set to 4 (at least) before calling this method, using for instance the weights.resize(4)

static bool MxQuadrangleCellExtract::isPointInsideCell	(	const MiGeometryI &	meshGeometry,
		const MiSurfaceCell *	quadrangleCell,
		const MbVec3d &	point,
		std::vector< double > &	weights
	)			[inline, static]

Checks if a point is inside or outside a quadrangle cell.

This static method helps to implement the method MiCell::isPointInsideCell(meshGeometry,point,weights) for a quadrangle cell.

Parameters:

[in]	meshGeometry	The geometry of the mesh.
[in]	quadrangleCell	The input cell.
[in]	point	The input point given in the same space coordinate as meshGeometry.
[out]	weights	This method computes the 4 values weights[0-3] if the point is inside the cell. It assumes the weights vector array has been already allocated. Its size must be set to 4 (at least) before calling this method, using for instance the weights::resize(4)

Returns:

true if the point is inside the cell.

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The documentation for this class was generated from the following file:

• MeshVizXLM/extractors/MxQuadrangleCellExtract.h