Utility class for quadrangle cells. More...
#include <MeshVizXLM/extractors/MxQuadrangleCellExtract.h>
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) |
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.
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
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.
[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().
[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.
meshGeometry.getCoord(quadrangleCell->getNodeIndex(i))
[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.
[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.
meshGeometry.getCoord(quadrangleCell->getNodeIndex(i))
[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.
[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) |