MeshLib::QuadRule Class Reference

Detailed Description

This class represents a 2d quad element in 3d space.

Definition at line 23 of file QuadRule.h.

#include <QuadRule.h>

Inheritance diagram for MeshLib::QuadRule:

Collaboration diagram for MeshLib::QuadRule:

Static Public Member Functions
static bool	isPntInElement (Node const *const *nodes, MathLib::Point3d const &pnt, double eps)
static ElementErrorCode	validate (const Element *e)
static double	computeVolume (Node const *const *element_nodes)
	Calculates the area of a quad with straight edges.
Static Public Member Functions inherited from MeshLib::FaceRule
static const Element *	getFace (const Element *e, unsigned i)
	Returns the face i of the element.
static bool	testElementNodeOrder (Element const &e)
static Eigen::Vector3d	getFirstSurfaceVector (Element const &e)
static Eigen::Vector3d	getSecondSurfaceVector (Element const &e)
static Eigen::Vector3d	getSurfaceNormal (Element const &e)
	Returns the surface normal of a 2D element.

Static Public Attributes
static const unsigned	n_base_nodes = 4u
	Constant: The number of base nodes for this element.
static const MeshElemType	mesh_elem_type = MeshElemType::QUAD
	Constant: The geometric type of the element.
static const unsigned	n_edges = 4
	Constant: The number of edges.
static const unsigned	n_neighbors = 4
	Constant: The number of neighbors.
Static Public Attributes inherited from MeshLib::FaceRule
static const unsigned	dimension = 2u
	Constant: Dimension of this mesh element.
static const unsigned	n_faces = 0
	Constant: The number of faces.

Additional Inherited Members
Static Protected Member Functions inherited from MeshLib::FaceRule
template<typename ElementRule >
static unsigned	identifyFace (Node const *const *element_nodes, Node const *nodes[ElementRule::dimension])
	Returns the ID of an edge given an array of nodes.

Member Function Documentation

computeVolume()

double MeshLib::QuadRule::computeVolume ( Node const *const * element_nodes )

static

Calculates the area of a quad with straight edges.

Definition at line 17 of file QuadRule.cpp.

{
    return MathLib::calcTriangleArea(
               *element_nodes[0], *element_nodes[1], *element_nodes[2]) +
           MathLib::calcTriangleArea(
               *element_nodes[2], *element_nodes[3], *element_nodes[0]);
}

References MathLib::calcTriangleArea().

isPntInElement()

bool MeshLib::QuadRule::isPntInElement ( Node const *const * nodes, MathLib::Point3d const & pnt, double eps )

static

Checks if a point is inside the element.

Parameters

pnt	a 3D MathLib::Point3d object
eps	tolerance for numerical algorithm used or computing the property

Returns

true if the point is not outside the element, false otherwise

Parameters

nodes

the nodes of the element.

Definition at line 25 of file QuadRule.cpp.

{
    return (
        MathLib::isPointInTriangle(pnt, *nodes[0], *nodes[1], *nodes[2], eps) ||
        MathLib::isPointInTriangle(pnt, *nodes[0], *nodes[2], *nodes[3], eps));
}

References MathLib::isPointInTriangle().

validate()

ElementErrorCode MeshLib::QuadRule::validate ( const Element * e )

static

Tests if the element is geometrically valid.

Definition at line 34 of file QuadRule.cpp.

{
    ElementErrorCode error_code;
    error_code[ElementErrorFlag::ZeroVolume] = hasZeroVolume(*e);
    Node const* const* element_nodes = e->getNodes();
    error_code[ElementErrorFlag::NonCoplanar] =
        (!MathLib::isCoplanar(*element_nodes[0],
                              *element_nodes[1],
                              *element_nodes[2],
                              *element_nodes[3]));
    // for collapsed quads (i.e. reduced to a line) this test might result
    // "false" as all four points are actually located on a line.
    if (!error_code[ElementErrorFlag::ZeroVolume])
    {
        error_code[ElementErrorFlag::NonConvex] =
            (!(MathLib::dividedByPlane(*element_nodes[0],
                                       *element_nodes[2],
                                       *element_nodes[1],
                                       *element_nodes[3]) &&
               MathLib::dividedByPlane(*element_nodes[1],
                                       *element_nodes[3],
                                       *element_nodes[0],
                                       *element_nodes[2])));
    }
    error_code[ElementErrorFlag::NodeOrder] = !e->testElementNodeOrder();
    return error_code;
}

References MathLib::dividedByPlane(), MeshLib::Element::getNodes(), MeshLib::hasZeroVolume(), MathLib::isCoplanar(), NodeOrder, NonConvex, NonCoplanar, MeshLib::Element::testElementNodeOrder(), and ZeroVolume.

Member Data Documentation

mesh_elem_type

const MeshElemType MeshLib::QuadRule::mesh_elem_type = MeshElemType::QUAD

static

Constant: The geometric type of the element.

Definition at line 30 of file QuadRule.h.

n_base_nodes

const unsigned MeshLib::QuadRule::n_base_nodes = 4u

static

Constant: The number of base nodes for this element.

Definition at line 27 of file QuadRule.h.

n_edges

const unsigned MeshLib::QuadRule::n_edges = 4

static

Constant: The number of edges.

Definition at line 33 of file QuadRule.h.

n_neighbors

const unsigned MeshLib::QuadRule::n_neighbors = 4

static

Constant: The number of neighbors.

Definition at line 36 of file QuadRule.h.

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

• MeshLib/Elements/QuadRule.h
• MeshLib/Elements/QuadRule.cpp