Plane quadrilateral in a 3D space. More...

#include <Quadrilateral3d.h>

Inheritance diagram for Quadrilateral3d:

Collaboration diagram for Quadrilateral3d:

Public Member Functions
	Quadrilateral3d (const Pos3d &p1, const Pos3d &p2, const Pos3d &p3, const Pos3d &p4)
	Constructor.

	Quadrilateral3d (const Ref2d3d &, const Quadrilateral2d &p=Quadrilateral2d())
	Constructor.

	Quadrilateral3d (const Ref3d3d &, const Quadrilateral2d &p=Quadrilateral2d())
	Constructor.

	Quadrilateral3d (const GeomObj::list_Pos3d &)
	Constructor.

	Quadrilateral3d (const boost::python::list &)
	Constructor.

virtual GeomObj *	getCopy (void) const

Polygon3d	getPolygon3d (void) const

virtual unsigned int	getNumVertices (void) const

virtual unsigned int	getNumEdges (void) const

GEOM_FT	getLength (void) const
	Return the length of the object.

GEOM_FT	getArea (void) const
	Return the area of the object.

std::vector< double >	getTributaryAreas (void) const

Pos3d	Vertice (unsigned int i) const
	Return the position of the i-th vertex.

Pos3d	Vertice0 (unsigned int j) const
	Return the position of the i-th vertex (0 based: j=0..getNumVertices()-1)

GeomObj::list_Pos3d	getVertexList (void) const
	Return a Python list containing the positions of the quadrilateral vertices. More...

boost::python::list	getVertexListPy (void) const
	Return a Python list containing the positions of the quadrilateral vertices. More...

Segment3d	Lado0 (unsigned int i) const
	Return the i-th side (i between 0 and num_sides-1).

Segment3d	Lado (unsigned int i) const
	Return the i-th edge (i between 1 and num_sides).

int	getIndexOfDistalEdge (const Pos3d &) const
	Return the index of the distal edge with respect to the point argument. More...

int	getIndexOfProximalEdge (const Pos3d &) const
	Return the proximal edge with respect to the point argument. More...

int	getIndexOfDistalVertex (const Pos3d &) const
	Return the distal vertex with respect to the point argument. More...

int	getIndexOfProximalVertex (const Pos3d &) const
	Return the proximal vertex with respect to the point argument. More...

bool	clockwise (const Pos3d &) const
	Return true if the point list is oriented clockwise. More...

bool	counterclockwise (const Pos3d &) const
	Return true if the point list is oriented counterclockwise. More...

void	swap (void)

std::string	orientation (const Pos3d &) const
	Return the orientation of the quadrilateral (clockwise or counterclockwise). More...

Plane	getPlaneFromSide0 (unsigned int i) const

Plane	getPlaneFromSide (unsigned int i) const

Vector3d	getNormal (void) const
	Return the normal to the quadrilateral.

Pos3d	getCenterOfMass (void) const
	Return the center of mass of the quadrilateral.

Pos3d	Centroid (void) const
	Return the centroid (point interior to the polygon). More...

GEOM_FT	Ix (void) const
	Moment of inertia with respect to an axis parallel to the x axis passing through the center of mass. More...

GEOM_FT	Iy (void) const
	Moment of inertia with respect to an axis parallel to the y axis passing through the center of mass. More...

GEOM_FT	Iz (void) const
	Moment of inertia with respect to an axis parallel to the z axis passing through the center of mass. More...

GEOM_FT	GetMax (unsigned short int i) const
	Return the maximum value of the i-th coordinate.

GEOM_FT	GetMin (unsigned short int i) const
	Return the minimum value of the i-th coordinate.

bool	In (const Pos3d &p, const double &tol) const
	Return true if the point lies inside the quadrilateral (i. More...

bool	TocaCuadrante (const int &) const
	Return true if alguno de los vertices toca el cuadrante que se pasa como parámetro. More...

GEOM_FT	distSigno (const Pos3d &p) const

GEOM_FT	dist (const Pos3d &p) const
	Return the distance from point to quadrilateral. More...

GEOM_FT	distSigno2 (const Pos3d &p) const
	Return the squared distance from from point to quadrilateral. More...

GEOM_FT	dist2 (const Pos3d &p) const
	Return the distance from point to quadrilateral. More...

std::vector< double >	getNaturalCoordinates (const Pos3d &) const
	Return natural coordinates for point xy (in cartesian coord.) based on $ 23.6 from Felippa book:"Introduction to Finite Element Methods" see IFEM.Ch23.pdf. More...

std::vector< std::vector< double > >	getNaturalCoordinates (const std::list< Pos3d > &) const
	Return natural coordinates for points xy (in cartesian coord.) More...

boost::python::list	getNaturalCoordinatesPy (const boost::python::list &) const

std::vector< double >	Ni (const Pos3d &) const
	Return the values of the shape functions for the point argument.

std::vector< std::vector< double > >	Ni (const std::list< Pos3d > &) const
	Return a vector of vectors containing the values of the shape functions for the points in the argument list. More...

boost::python::list	NiPy (const Pos3d &) const
	Return a Python list containing the values of the shape functions for the point argument.

boost::python::list	NiPy (const boost::python::list &) const
	Return a Python list containing the values of the shape functions for the points in the argument list. More...

Pos3d	getMidpoint (void) const
	Return the intersection between the lines that join the midpoints of the quadrilateral sides. More...

Segment3d	Clip (const Line3d &) const
	Return the intersection of the quadrilateral with the line.

Segment3d	Clip (const Ray3d &) const
	Return the intersection of the quadrilateral and the ray.

Segment3d	Clip (const Segment3d &) const
	Return the intersection of the quadrilateral and the segment.

bool	intersects (const Line3d &) const
	Return true if the line intersects the quadrilateral.

Segment3d	getIntersection (const Line3d &) const
	Return the intersection with the line argument.

bool	intersects (const Plane &) const
	Return true if the plane intersects the quadrilateral.

Segment3d	getIntersection (const Plane &) const
	Return the intersection with the plane argument.

Pos3dArray	genMesh (int n1, int n2) const
	Returns a point grid.

Pos3dArray	genBilinMesh (const size_t &n1, const size_t &n2) const
	Returns a point grid (the routine is taken from OpenSees).

void	Print (std::ostream &os) const

Public Member Functions inherited from D2to3d
	D2to3d (void)
	Constructor.

virtual bool	operator== (const D2to3d &) const
	Comparison operator.

void	ThreePoints (const Pos3d &p1, const Pos3d &p2, const Pos3d &p3)

virtual unsigned short int	Dimension (void) const
	Return the dimension of the object: 0, 1, 2 or 3.

Vector3d	getIVector (void) const
	Return the unary vector I expressed in global coordinates.

Vector3d	getJVector (void) const
	Return the unary vector J expressed in global coordinates.

Vector3d	getKVector (void) const
	Return the unary vector K expressed in global coordinates.

Pos3d	to_3d (const Pos2d &) const
	Return the 3D point corresponding to the 2D point argument.

Vector3d	to_3d (const Vector2d &) const
	Return the 3D vector corresponding to the 2D vector argument.

Line3d	to_3d (const Line2d &) const
	Return the 3D line corresponding to the 2D line argument.

Ray3d	to_3d (const Ray2d &) const
	Return the 3D ray corresponding to the 2D ray argument.

Segment3d	to_3d (const Segment2d &) const
	Return the 3D segment corresponding to the 2D segment argument.

Pos3dArray	to_3d (const Pos2dArray &) const

Pos2d	to_2d (const Pos3d &) const
	Return the 2D point corresponding to the 3D point argument.

Vector2d	to_2d (const Vector3d &) const
	Return the 2D vector corresponding to the 3D vector argument.

Line2d	to_2d (const Line3d &) const
	Return the 2D line corresponding to the 3D line argument.

Ray2d	to_2d (const Ray3d &) const
	Return the 2D ray corresponding to the 3D ray argument.

Segment2d	to_2d (const Segment3d &) const
	Return the 2D segment corresponding to the 3D segment argument.

const Ref2d3d &	getRef (void) const

Plane	getPlane (void) const

Public Member Functions inherited from Surface3d
GEOM_FT	getPerimeter (void) const

virtual GEOM_FT	getVolume (void) const
	Return the volume of the object.

virtual GEOM_FT	IArea (void) const

Public Member Functions inherited from GeomObj3d
GEOM_FT	GetXMax (void) const

GEOM_FT	GetYMax (void) const

GEOM_FT	GetZMax (void) const

GEOM_FT	GetXMin (void) const

GEOM_FT	GetYMin (void) const

GEOM_FT	GetZMin (void) const

virtual void	XProjection (void)

virtual void	YProjection (void)

virtual void	ZProjection (void)

virtual Pos3d	Projection (const Pos3d &) const
	Return the orthogonal projection onto the line. More...

virtual Vector3d	Projection (const Vector3d &) const
	Return the projection onto the line. More...

Pos3d	getPMax (void) const

Pos3d	getPMin (void) const

BND3d	Bnd (void) const
	Return the boundary of the object.

virtual bool	Out (const Pos3d &p, const double &tol=0.0) const
	Return true if the point lies outside the object.

virtual GEOM_FT	getCenterOfMassFactor (void) const
	Return the factor used for the computation of the center of mass (1.0 by default). More...

virtual GEOM_FT	Pxy (void) const

virtual GEOM_FT	Pxz (void) const

virtual GEOM_FT	Pyz (void) const

GEOM_FT	I (const unsigned short int &i, const unsigned short int &j) const

GEOM_FT	I (const Pos3d &O, const Vector3d &e) const
	Return el moment of inertia with respect to the axis that passes through O with the direction of e. More...

GEOM_FT	I (const Line3d &r) const
	Return el moment of inertia with respect to the argument line.

GEOM_FT	I (const unsigned short int i, const unsigned short int j, const Pos3d &o) const
	Return el moment of inertia (i,j) respect to the axis parallel to i through o. More...

GEOM_FT	IO (const Pos3d &o) const
	Return the polar moment of inertia with respect to the point o.

FT_matrix	I (void) const
	Return the inertia tensor with respect to the center of mass of the object. More...

FT_matrix	I (const Pos3d &o) const
	Return the inertia tensor with respect to the point o.

Public Member Functions inherited from GeomObj
	GeomObj (void)
	Constructor.

virtual bool	hasCenterOfMass (void) const
	Return true if the object has a center of mass.

GEOM_FT	getCenterOfMassArea (void) const
	Return the dimension used to compute the center of mass, as follows: More...

virtual void	Plot (Plotter &) const

Public Member Functions inherited from ProtoGeom
	ProtoGeom (void)
	False when solution is not possible: intersection of parallel planes. More...

void	setExists (bool e)

bool	exists (void) const

boost::python::dict	getPyDict (void) const
	Return a Python dictionary with the object members values.

void	setPyDict (const boost::python::dict &)
	Set the values of the object members from a Python dictionary.

Public Member Functions inherited from CommandEntity
	CommandEntity (CommandEntity *owr=nullptr)
	Default constructor.

CommandEntity *	Owner (void)
	Return a pointer to the object owner.

const CommandEntity *	Owner (void) const
	Return un puntero al objeto propietario de ESTE.

const StandardOutputWrapper &	getStandardOutputWrapper (void) const
	Return the regular output stream wrapper.

StandardOutputWrapper &	getStandardOutputWrapper (void)
	Return the regular output stream wrapper.

const std::string &	getLogFileName (void) const
	Returns log file name.

void	setLogFileName (const std::string &)
	Sets log file name.

const std::string &	getErrFileName (void) const
	Returns err file name.

void	setErrFileName (const std::string &)
	Sets error file name.

const std::string &	getOutputFileName (void) const
	Returns regular output file name.

void	setOutputFileName (const std::string &)
	Sets regular output file name.

boost::python::object	evalPy (boost::python::object dict, const std::string &)
	Return the Python object that results from evaluating the argument.

boost::python::object	execPy (boost::python::object dict, const std::string &)
	Return the Python objects that results from executing the code in the string argument.

boost::python::object	execFilePy (boost::python::object dict, const std::string &)
	Return the Python object that results from executing the code in the file.

Public Member Functions inherited from EntityWithProperties
	EntityWithProperties (EntityWithProperties *owr=nullptr)
	Default constructor.

void	clearPyProps (void)
	Clear python properties map.

bool	hasPyProp (const std::string &)
	Returns true if property exists.

boost::python::object	getPyProp (const std::string &str)
	Return the Python object with the name being passed as parameter.

void	setPyProp (std::string str, boost::python::object val)
	Sets/appends a value tho the Python object's dictionary.

void	copyPropsFrom (const EntityWithProperties &)
	Copy the properties from the argument.

boost::python::list	getPropNames (void) const
	Return the names of the object properties weightings.

const PythonDict &	getPropertiesDict (void) const
	Return a std::map container with the properties of the object.

boost::python::dict	getPyDict (void) const
	Return a Python dictionary containing the object members values.

void	setPyDict (const boost::python::dict &)
	Set the values of the object members from a Python dictionary.

Public Member Functions inherited from EntityWithOwner
	EntityWithOwner (EntityWithOwner *owr=nullptr)
	Default constructor.

	EntityWithOwner (const EntityWithOwner &)
	Copy constructor.

EntityWithOwner &	operator= (const EntityWithOwner &)
	Assignment operator.

virtual bool	operator== (const EntityWithOwner &) const
	Comparison operator.

virtual	~EntityWithOwner (void)
	Virtual destructor.

virtual std::string	getClassName (void) const
	Returns demangled class name.

void	set_owner (EntityWithOwner *owr)
	Assigns the owner of the object.

EntityWithOwner *	Owner (void)

const EntityWithOwner *	Owner (void) const

Additional Inherited Members
Public Types inherited from GeomObj3d
typedef PolyPos< Pos3d >	list_Pos3d

Public Types inherited from GeomObj
typedef PolyPos< Pos3d >	list_Pos3d

typedef PolyPos< Pos2d >	list_Pos2d

Public Types inherited from EntityWithProperties
typedef std::map< std::string, boost::python::object >	PythonDict

Static Public Member Functions inherited from CommandEntity
static void	resetStandardOutput (void)
	Reset the standard output streams to its defaults buffers.

Static Public Member Functions inherited from EntityWithOwner
static int	getVerbosityLevel (void)
	Get the value of the verbosity level.

static void	setVerbosityLevel (const int &)
	Set the value of the verbosity level.

Protected Member Functions inherited from D2to3d
	D2to3d (const Ref2d3d &)
	Constructor.

	D2to3d (const Ref3d3d &)
	Constructor.

	D2to3d (const Pos3d &o)
	Constructor.

	D2to3d (const Pos3d &o, const Pos3d &p, const Pos3d &q)
	Constructor.

	D2to3d (const Pos3d &o, const Vector3d &n, const Vector3d &i)
	Constructor.

Protected Member Functions inherited from CommandEntity
template<class T >
void	string_to (T &, const std::string &) const

Protected Member Functions inherited from EntityWithProperties
bool	isEqual (const EntityWithProperties &) const
	Return true if both objects are equal.

Protected Member Functions inherited from EntityWithOwner
virtual bool	isEqual (const EntityWithOwner &) const
	Return true if both objects are equal.

Static Protected Member Functions inherited from CommandEntity
static CommandEntity *	entcmd_cast (boost::any &data)

Static Protected Attributes inherited from EntityWithOwner
static int	verbosity = 1
	Object that owns THIS ONE. More...

Detailed Description

Plane quadrilateral in a 3D space.

Member Function Documentation

◆ Centroid()

Pos3d Quadrilateral3d::Centroid ( void ) const

Return the centroid (point interior to the polygon).

Return the centroid (point interior to the polygon). See the book Sistemas de Información Geográfica de Joaquín Bosque Sendra (Ed. Rialp ).

◆ clockwise()

bool Quadrilateral3d::clockwise ( const Pos3d & vPoint ) const

Return true if the point list is oriented clockwise.

Parameters

vPoint position of the point of view.

◆ counterclockwise()

bool Quadrilateral3d::counterclockwise ( const Pos3d & vPoint ) const

Return true if the point list is oriented counterclockwise.

Parameters

vPoint position of the point of view.

◆ dist()

GEOM_FT Quadrilateral3d::dist ( const Pos3d & p ) const

virtual

Return the distance from point to quadrilateral.

This distance is computed as the maximum of the signed distances from the point to each of the planes that contain a side and are perpendicular to the plane that contains the quadrilateral. In the point is inside the quadrilateral 0 is returned.

Reimplemented from Surface3d.

◆ dist2()

GEOM_FT Quadrilateral3d::dist2 ( const Pos3d & p ) const

virtual

Return the distance from point to quadrilateral.

Distance is computed as the maximum of the distances (signed) from the point to each of the planes that contain a side and are normal to the plane that contains the quadrilateral. If the point is inside the quadrilateral 0 is returned.

Reimplemented from Surface3d.

◆ distSigno2()

GEOM_FT Quadrilateral3d::distSigno2 ( const Pos3d & p ) const

Return the squared distance from from point to quadrilateral.

The distance is computed as the maximum of: -The distance from the point to the plane that contains the quadrilateral. -The signed distances from the point to each of the half spaces defined by the plane that contains the quadrilateral.

◆ getIndexOfDistalEdge()

int Quadrilateral3d::getIndexOfDistalEdge ( const Pos3d & p ) const

Return the index of the distal edge with respect to the point argument.

Parameters

p 2D point.

◆ getIndexOfDistalVertex()

int Quadrilateral3d::getIndexOfDistalVertex ( const Pos3d & p ) const

Return the distal vertex with respect to the point argument.

Parameters

p 2D point.

◆ getIndexOfProximalEdge()

int Quadrilateral3d::getIndexOfProximalEdge ( const Pos3d & p ) const

Return the proximal edge with respect to the point argument.

Parameters

p 2D point.

◆ getIndexOfProximalVertex()

int Quadrilateral3d::getIndexOfProximalVertex ( const Pos3d & p ) const

Return the proximal vertex with respect to the point argument.

Parameters

p 2D point.

◆ getMidpoint()

Pos3d Quadrilateral3d::getMidpoint ( void ) const

Return the intersection between the lines that join the midpoints of the quadrilateral sides.

◆ getNaturalCoordinates() [1/2]

std::vector< double > Quadrilateral3d::getNaturalCoordinates ( const Pos3d & p ) const

Return natural coordinates for point xy (in cartesian coord.) based on $ 23.6 from Felippa book:"Introduction to Finite Element Methods" see IFEM.Ch23.pdf.

Parameters

p	position in cartesian coordinates.

◆ getNaturalCoordinates() [2/2]

std::vector< std::vector< double > > Quadrilateral3d::getNaturalCoordinates ( const std::list< Pos3d > & points ) const

Return natural coordinates for points xy (in cartesian coord.)

Parameters

points positions in cartesian coordinates.

◆ getVertexList()

GeomObj::list_Pos3d Quadrilateral3d::getVertexList ( void ) const

Return a Python list containing the positions of the quadrilateral vertices.

◆ getVertexListPy()

boost::python::list Quadrilateral3d::getVertexListPy ( void ) const

Return a Python list containing the positions of the quadrilateral vertices.

◆ In()

bool Quadrilateral3d::In	(	const Pos3d &	p,
		const double &	tol
	)		const

virtual

Return true if the point lies inside the quadrilateral (i.

e. the distance from the point to the quadrilateral is less than the tolerance argument).

Reimplemented from GeomObj3d.

◆ Ix()

GEOM_FT Quadrilateral3d::Ix ( void ) const

virtual

Moment of inertia with respect to an axis parallel to the x axis passing through the center of mass.

Implements GeomObj3d.

◆ Iy()

GEOM_FT Quadrilateral3d::Iy ( void ) const

virtual

Moment of inertia with respect to an axis parallel to the y axis passing through the center of mass.

Implements GeomObj3d.

◆ Iz()

GEOM_FT Quadrilateral3d::Iz ( void ) const

virtual

Moment of inertia with respect to an axis parallel to the z axis passing through the center of mass.

Implements GeomObj3d.

◆ Ni()

std::vector< std::vector< double > > Quadrilateral3d::Ni ( const std::list< Pos3d > & points ) const

Return a vector of vectors containing the values of the shape functions for the points in the argument list.

Parameters

points points where the shape functions are evaluated.

◆ NiPy()

boost::python::list Quadrilateral3d::NiPy ( const boost::python::list & points ) const

Return a Python list containing the values of the shape functions for the points in the argument list.

Parameters

points points where the shape functions are evaluated.

◆ orientation()

std::string Quadrilateral3d::orientation ( const Pos3d & vPoint ) const

Return the orientation of the quadrilateral (clockwise or counterclockwise).

◆ TocaCuadrante()

bool Quadrilateral3d::TocaCuadrante ( const int & cuadrante ) const

Return true if alguno de los vertices toca el cuadrante que se pasa como parámetro.

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

src/utility/geom/d2/Quadrilateral3d.h
src/utility/geom/d2/Quadrilateral3d.cc

Public Member Functions

Additional Inherited Members

Detailed Description

Member Function Documentation

◆ Centroid()

◆ clockwise()

◆ counterclockwise()

◆ dist()

◆ dist2()

◆ distSigno2()

◆ getIndexOfDistalEdge()

◆ getIndexOfDistalVertex()

◆ getIndexOfProximalEdge()

◆ getIndexOfProximalVertex()

◆ getMidpoint()

◆ getNaturalCoordinates() [1/2]

◆ getNaturalCoordinates() [2/2]

◆ getVertexList()

◆ getVertexListPy()

◆ In()

◆ Ix()

◆ Iy()

◆ Iz()

◆ Ni()

◆ NiPy()

◆ orientation()

◆ TocaCuadrante()