Utility class for quadratic quadrangle cells with 8 nodes. More...
#include <MeshVizXLM/extractors/MxQuadrangle8CellExtract.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 size_t | getSubTriangleNodesIndex (std::vector< size_t > &triangleNodeIds) |
Friends | |
std::ostream & | operator<< (std::ostream &s, const MxQuadrangle8CellExtract &cell) |
Utility class that provides a static implementation of the MiSurfaceCell interface methods for a quadratic quadrangle cell of 8 nodes. This class is provided to make it easier to create a class that implements the MiSurfaceCell interface for a quadratic quadrangle of 8 nodes.
The following image shows the node 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 MxQuadrangle8CellExtract::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 24 values derivs[0-23]. 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) |
static MbVec3d MxQuadrangle8CellExtract::getIsoParametricCoord | ( | size_t | nodeIndex | ) | [inline, static] |
Returns the iso parametric coordinates of one of the 8 nodes of a quadrangle cell.
This static method helps to implement the method MiCell::getIsoParametricCoord().
[in] | nodeIndex | Must be defined in the range [0-7] |
static MbVec3d MxQuadrangle8CellExtract::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 8 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 size_t MxQuadrangle8CellExtract::getSubTriangleNodesIndex | ( | std::vector< size_t > & | triangleNodeIds | ) | [inline, static] |
Gets a triangulation of a quadratic quadrangle of 8 nodes.
This static method helps to implement the method MiSurfaceCell::getSubTriangleNodesIndex() for a quadratic quadrangle of 8 nodes.
[out] | triangleNodeIds | Sub triangle node ids (where: 0 <= triangleNodeIds[i] < 8 for each i). |
static void MxQuadrangle8CellExtract::getWeight | ( | const MbVec3d & | ipcoord, | |
std::vector< double > & | weights | |||
) | [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 8 values weights[0-7]. 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) |
static void MxQuadrangle8CellExtract::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 8 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 8 values weights[0-7]. 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) |
static bool MxQuadrangle8CellExtract::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 8 values weights[0-7] 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) |
std::ostream& operator<< | ( | std::ostream & | s, | |
const MxQuadrangle8CellExtract & | cell | |||
) | [friend] |