Mesh management classes More...

Classes
class	Domain
	To store and treat finite element geometric information. More...

class	Edge
	To describe an edge. More...

class	Element
	To store and treat finite element geometric information. More...

class	Figure
	To store and treat a figure (or shape) information. More...

class	Rectangle
	To store and treat a rectangular figure. More...

class	Brick
	To store and treat a brick (parallelepiped) figure. More...

class	Circle
	To store and treat a circular figure. More...

class	Sphere
	To store and treat a sphere. More...

class	Ellipse
	To store and treat an ellipsoidal figure. More...

class	Triangle
	To store and treat a triangle. More...

class	Polygon
	To store and treat a polygonal figure. More...

class	Grid
	To manipulate structured grids. More...

class	Mesh
	To store and manipulate finite element meshes. More...

class	MeshAdapt
	To adapt mesh in function of given solution. More...

class	NodeList
	Class to construct a list of nodes having some common properties. More...

class	ElementList
	Class to construct a list of elements having some common properties. More...

class	SideList
	Class to construct a list of sides having some common properties. More...

class	EdgeList
	Class to construct a list of edges having some common properties. More...

class	Node
	To describe a node. More...

class	Partition
	To partition a finite element mesh into balanced submeshes. More...

class	Side
	To store and treat finite element sides (edges in 2-D or faces in 3-D) More...

Macros
#define	GRAPH_MEMORY 1000000
	Memory necessary to store matrix graph. More...

#define	MAX_NB_ELEMENTS 10000
	Maximal Number of elements.

#define	MAX_NB_NODES 10000
	Maximal number of nodes.

#define	MAX_NB_SIDES 30000
	Maximal number of sides in.

#define	MAX_NB_EDGES 30000
	Maximal Number of edges.

#define	MAX_NBDOF_NODE 6
	Maximum number of DOF supported by each node.

#define	MAX_NBDOF_SIDE 6
	Maximum number of DOF supported by each side.

#define	MAX_NBDOF_EDGE 2
	Maximum number of DOF supported by each edge.

#define	MAX_NB_ELEMENT_NODES 20
	Maximum number of nodes by element.

#define	MAX_NB_ELEMENT_EDGES 10
	Maximum number of edges by element.

#define	MAX_NB_SIDE_NODES 9
	Maximum number of nodes by side.

#define	MAX_NB_ELEMENT_SIDES 8
	Maximum number of sides by element.

#define	MAX_NB_ELEMENT_DOF 27
	Maximum number of dof by element.

#define	MAX_NB_SIDE_DOF 4
	Maximum number of dof by side.

#define	MAX_NB_INT_PTS 20
	Maximum number of integration points in element.

#define	MAX_NB_MATERIALS 10
	Maximum number of materials.

#define	TheNode (*theNode)

#define	TheElement (*theElement)

#define	TheSide (*theSide)

#define	TheEdge (*theEdge)

#define	ElementLoop(m) for ((m).topElement(); (theElement=(m).getElement());)

#define	ActiveElementLoop(m) for ((m).topElement(); (theElement=(m).getActiveElement());)

#define	SideLoop(m) for ((m).topSide(); (theSide=(m).getSide());)

#define	EdgeLoop(m) for ((m).topEdge(); (theEdge=(m).getEdge());)

#define	NodeLoop(m) for ((m).topNode(); (theNode=(m).getNode());)

#define	BoundaryNodeLoop(m) for ((m).topBoundaryNode(); (theNode=(m).getBoundaryNode());)

#define	BoundarySideLoop(m) for ((m).topBoundarySide(); (theSide=(m).getBoundarySide());)

#define	theNodeLabel theNode->n()

#define	theSideLabel theSide->n()
	A macro that returns side label in a loop using macro `MeshSides`

#define	theSideNodeLabel(i) theSide->getNodeLabel(i)
	A macro that returns label of `i`-th node of side using macro `MeshSides`

#define	theElementLabel theElement->n()
	A macro that returns element label in a loop using macro `MeshElements`

#define	theElementNodeLabel(i) theElement->getNodeLabel(i)
	A macro that returns label of `i`-th node of element using macro `MeshElements`

Functions
ostream &	operator<< (ostream &s, const Edge &ed)
	Output edge data.

ostream &	operator<< (ostream &s, const Element &el)
	Output element data.

Figure	operator&& (const Figure &f1, const Figure &f2)
	Function to define a Figure instance as the intersection of two Figure instances. More...

Figure	operator\|\| (const Figure &f1, const Figure &f2)
	Function to define a Figure instance as the union of two Figure instances. More...

Figure	operator- (const Figure &f1, const Figure &f2)
	Function to define a Figure instance as the set subtraction of two Figure instances. More...

ostream &	operator<< (ostream &s, const Material &m)
	Output material data.

ostream &	operator<< (ostream &s, const Mesh &ms)
	Output mesh data. More...

ostream &	operator<< (ostream &s, const MeshAdapt &a)
	Output MeshAdapt class data.

ostream &	operator<< (ostream &s, const NodeList &nl)
	Output NodeList instance. More...

ostream &	operator<< (ostream &s, const ElementList &el)
	Output ElementList instance. More...

ostream &	operator<< (ostream &s, const SideList &sl)
	Output SideList instance. More...

ostream &	operator<< (ostream &s, const EdgeList &el)
	Output EdgeList instance. More...

size_t	Label (const Node &nd)
	Return label of a given node. More...

size_t	Label (const Element &el)
	Return label of a given element. More...

size_t	Label (const Side &sd)
	Return label of a given side. More...

size_t	Label (const Edge &ed)
	Return label of a given edge. More...

size_t	NodeLabel (const Element &el, size_t n)
	Return global label of node local label in element. More...

size_t	NodeLabel (const Side &sd, size_t n)
	Return global label of node local label in side. More...

Point< real_t >	Coord (const Node &nd)
	Return coordinates of a given node. More...

int	Code (const Node &nd, size_t i=1)
	Return code of a given (degree of freedom of) node. More...

int	Code (const Element &el)
	Return code of a given element. More...

int	Code (const Side &sd, size_t i=1)
	Return code of a given (degree of freedom of) side. More...

bool	operator== (const Element &el1, const Element &el2)
	Check equality between 2 elements. More...

bool	operator== (const Side &sd1, const Side &sd2)
	Check equality between 2 sides. More...

void	DeformMesh (Mesh &mesh, const Vect< real_t > &u, real_t rate=0.2)
	Calculate deformed mesh using a displacement field. More...

void	MeshToMesh (Mesh &m1, Mesh &m2, const Vect< real_t > &u1, Vect< real_t > &u2, size_t nx, size_t ny=0, size_t nz=0, size_t dof=1)
	Function to redefine a vector defined on a mesh to a new mesh. More...

void	MeshToMesh (const Vect< real_t > &u1, Vect< real_t > &u2, size_t nx, size_t ny=0, size_t nz=0, size_t dof=1)
	Function to redefine a vector defined on a mesh to a new mesh. More...

void	MeshToMesh (Mesh &m1, Mesh &m2, const Vect< real_t > &u1, Vect< real_t > &u2, const Point< real_t > &xmin, const Point< real_t > &xmax, size_t nx, size_t ny, size_t nz, size_t dof=1)
	Function to redefine a vector defined on a mesh to a new mesh. More...

real_t	getMaxSize (const Mesh &m)
	Return maximal size of element edges for given mesh. More...

real_t	getMinSize (const Mesh &m)
	Return minimal size of element edges for given mesh. More...

real_t	getMinElementMeasure (const Mesh &m)
	Return minimal measure (length, area or volume) of elements of given mesh. More...

real_t	getMaxElementMeasure (const Mesh &m)
	Return maximal measure (length, area or volume) of elements of given mesh. More...

real_t	getMinSideMeasure (const Mesh &m)
	Return minimal measure (length or area) of sides of given mesh. More...

real_t	getMaxSideMeasure (const Mesh &m)
	Return maximal measure (length or area) of sides of given mesh. More...

real_t	getMeanElementMeasure (const Mesh &m)
	Return average measure (length, area or volume) of elements of given mesh. More...

real_t	getMeanSideMeasure (const Mesh &m)
	Return average measure (length or area) of sides of given mesh. More...

void	setNodeCodes (Mesh &m, const string &exp, int code, size_t dof=1)
	Assign a given code to all nodes satisfying a boolean expression using node coordinates. More...

void	setBoundaryNodeCodes (Mesh &m, const string &exp, int code, size_t dof=1)
	Assign a given code to all nodes on boundary that satisfy a boolean expression using node coordinates. More...

int	NodeInElement (const Node nd, const Element el)
	Say if a given node belongs to a given element. More...

int	NodeInSide (const Node nd, const Side sd)
	Say if a given node belongs to a given side. More...

int	SideInElement (const Side sd, const Element el)
	Say if a given side belongs to a given element. More...

ostream &	operator<< (ostream &s, const Node &nd)
	Output node data. More...

ostream &	operator<< (ostream &s, const Side &sd)
	Output side data. More...

Detailed Description

Mesh management classes

Macro Definition Documentation

#define GRAPH_MEMORY 1000000

Memory necessary to store matrix graph.

This value is necessary only if nodes are to be renumbered.

#define TheNode (*theNode)

A macro that gives the instance pointed by theNode

#define TheElement (*theElement)

A macro that gives the instance pointed by theElement

#define TheSide (*theSide)

A macro that gives the instance pointed by theSide

#define TheEdge (*theEdge)

A macro that gives the instance pointed by theEdge

#define ElementLoop ( m ) for ((m).topElement(); (theElement=(m).getElement());)

A macro to loop on mesh elements m : Instance of Mesh

Note: : Each iteration updates the pointer theElement to current Element

#define ActiveElementLoop ( m ) for ((m).topElement(); (theElement=(m).getActiveElement());)

A macro to loop on mesh active elements m : Instance of Mesh

Note: : Each iteration updates the pointer theElement to current Element; : This macro is necessary only if adaptive meshing is used

#define SideLoop ( m ) for ((m).topSide(); (theSide=(m).getSide());)

A macro to loop on mesh sides m : Instance of Mesh

Note: : Each iteration updates the pointer theSide to current Element

#define EdgeLoop ( m ) for ((m).topEdge(); (theEdge=(m).getEdge());)

A macro to loop on mesh edges m : Instance of Mesh

Note: : Each iteration updates the pointer theEdge to current Edge

#define NodeLoop ( m ) for ((m).topNode(); (theNode=(m).getNode());)

A macro to loop on mesh nodes m : Instance of Mesh

Note: : Each iteration updates the pointer theNode to current Node

#define BoundaryNodeLoop ( m ) for ((m).topBoundaryNode(); (theNode=(m).getBoundaryNode());)

A macro to loop on mesh nodes m: Instance of Mesh

Note: : Each iteration updates the pointer theNode to current Node

#define BoundarySideLoop ( m ) for ((m).topBoundarySide(); (theSide=(m).getBoundarySide());)

A macro to loop on mesh boundary sides m: Instance of Mesh

Note: : Each iteration updates the pointer theSide to current Node

#define theNodeLabel theNode->n()

A macro that returns node label in a loop using macro MeshNodes

Function Documentation

Figure operator&&	(	const Figure &	f1,
		const Figure &	f2
	)

Function to define a Figure instance as the intersection of two Figure instances.

Parameters

[in]	f1	First Figure instance
[in]	f2	Second Figure instance

Returns: Updated resulting Figure instance

Figure operator\|\|	(	const Figure &	f1,
		const Figure &	f2
	)

Function to define a Figure instance as the union of two Figure instances.

Parameters

[in]	f1	First Figure instance
[in]	f2	Second Figure instance

Returns: Updated resulting Figure instance

Figure operator-	(	const Figure &	f1,
		const Figure &	f2
	)

Function to define a Figure instance as the set subtraction of two Figure instances.

Parameters

[in]	f1	First Figure instance to subtract from
[in]	f2	Second Figure instance to subtract

Returns: Updated resulting Figure instance

ostream & operator<<	(	ostream &	s,
		const Mesh &	ms
	)

Output mesh data.

Level of mesh output depends on the global variable Verbosity

If Verbosity=0 or Verbosity=1, this function outputs only principal mesh parameters: number of nodes, number of elements, ...
If Verbosity>1, this function outputs in addition the list of 10 first nodes, elements and sides
If Verbosity>2, this function outputs in addition the list of 50 first nodes, elements and sides
If Verbosity>3, this function outputs all mesh data

ostream & operator<<	(	ostream &	s,
		const NodeList &	nl
	)

Output NodeList instance.

Author: Rachid Touzani

Copyright: GNU Lesser Public License

ostream & operator<<	(	ostream &	s,
		const ElementList &	el
	)

Output ElementList instance.

Author: Rachid Touzani

Copyright: GNU Lesser Public License

ostream & operator<<	(	ostream &	s,
		const SideList &	sl
	)

Output SideList instance.

Author: Rachid Touzani

Copyright: GNU Lesser Public License

ostream & operator<<	(	ostream &	s,
		const EdgeList &	el
	)

Output EdgeList instance.

Author: Rachid Touzani

Copyright: GNU Lesser Public License

size_t Label ( const Node & nd )

Return label of a given node.

Parameters

[in] nd Reference to Node instance

Returns: Label of node

Author: Rachid Touzani

Copyright: GNU Lesser Public License

size_t Label ( const Element & el )

Return label of a given element.

Parameters

[in] el Reference to Element instance

Returns: Label of element

Author: Rachid Touzani

Copyright: GNU Lesser Public License

size_t Label ( const Side & sd )

Return label of a given side.

Parameters

[in] sd Reference to Side instance

Returns: Label of side

Author: Rachid Touzani

Copyright: GNU Lesser Public License

size_t Label ( const Edge & ed )

Return label of a given edge.

Parameters

[in] ed Reference to Edge instance

Returns: Label of edge

Author: Rachid Touzani

Copyright: GNU Lesser Public License

size_t NodeLabel	(	const Element &	el,
		size_t	n
	)

Return global label of node local label in element.

Parameters

[in]	el	Reference to Element instance
[in]	n	Local label of node in element

Returns: Global label of node

Author: Rachid Touzani

Copyright: GNU Lesser Public License

size_t NodeLabel	(	const Side &	sd,
		size_t	n
	)

Return global label of node local label in side.

Parameters

[in]	sd	Reference to Side instance
[in]	n	Local label of node in side

Returns: Global label of node

Author: Rachid Touzani

Copyright: GNU Lesser Public License

Point< real_t > Coord ( const Node & nd )

Return coordinates of a given node.

Parameters

[in] nd Reference to Node instance

Returns: Coordinates of node

Author: Rachid Touzani

Copyright: GNU Lesser Public License

int Code	(	const Node &	nd,
		size_t	i = `1`
	)

Return code of a given (degree of freedom of) node.

Parameters

[in]	nd	Reference to Node instance
[in]	i	Label of dof [Default: `1`]

Returns: Code of dof of node

Author: Rachid Touzani

Copyright: GNU Lesser Public License

int Code ( const Element & el )

Return code of a given element.

Parameters

[in] el Reference to Element instance

Returns: Code of element

Author: Rachid Touzani

Copyright: GNU Lesser Public License

int Code	(	const Side &	sd,
		size_t	i = `1`
	)

Return code of a given (degree of freedom of) side.

Parameters

[in]	sd	Reference to Side instance
[in]	i	Label of dof [Default: `1`]

Returns: Code of dof of side

Author: Rachid Touzani

Copyright: GNU Lesser Public License

operator==	(	const Element &	el1,
		const Element &	el2
	)

Check equality between 2 elements.

Parameters

[in]	el1	Reference to first Side instance
[in]	el2	Reference to second Side instance

Returns: true is elements are equal, i.e. if they have the same nodes, false if not.

Author: Rachid Touzani

Copyright: GNU Lesser Public License

bool operator==	(	const Side &	sd1,
		const Side &	sd2
	)

Check equality between 2 sides.

Parameters

[in]	sd1	Reference to first Side instance
[in]	sd2	Reference to second Side instance

Returns: true is sides are equal, i.e. if they have the same nodes, false if not.

Author: Rachid Touzani

Copyright: GNU Lesser Public License

void DeformMesh	(	Mesh &	mesh,
		const Vect< real_t > &	u,
		real_t	a = `0.2`
	)

Calculate deformed mesh using a displacement field.

Parameters

[in,out]	mesh	Mesh instance. On output, node coordinates are modified to take into account the displacement
[in]	u	Displacement field at nodes
[in]	a	Maximal deformation rate. [Default: `1`]. A typical value is 0.2 (i.e. 20%).

Author: Rachid Touzani

Copyright: GNU Lesser Public License

void MeshToMesh	(	Mesh &	m1,
		Mesh &	m2,
		const Vect< real_t > &	u1,
		Vect< real_t > &	u2,
		size_t	nx,
		size_t	ny = `0`,
		size_t	nz = `0`,
		size_t	dof = `1`
	)

Function to redefine a vector defined on a mesh to a new mesh.

The program interpolates (piecewise linear) first the vector on a finer structured grid. Then the values on the new mesh nodes are computed.

Remarks: For efficiency the number of grid cells must be large enough so that interpolation provides efficient accuracy

Parameters

[in]	m1	Reference to the first mesh instance
[out]	m2	Reference to the second mesh instance
[in]	u1	Input vector of nodal values defined on first mesh
[out]	u2	Output vector of nodal values defined on second mesh
[in]	nx	Number of cells in the `x`-direction in the fine structured grid
[in]	ny	Number of cells in the `y`-direction in the fine structured grid The default value of `ny` is `0`, i.e. a 1-D grid
[in]	nz	Number of cells in the `z`-direction in the fine structured grid The default value of `nz` is `0`, i.e. a 1-D or 2-D grid
[in]	dof	Label of degree of freedom of vector `u`. Only this dof is considered. [Default: `1`]

Note: The input vector u1 is a one degree of freedom per node vector, i.e. its size must be equal (or greater than) the total number of nodes of mesh m1. The size of vector u2 is deduced from the mesh m2

Author: Rachid Touzani

Copyright: GNU Lesser Public License

void MeshToMesh	(	const Vect< real_t > &	u1,
		Vect< real_t > &	u2,
		size_t	nx,
		size_t	ny = `0`,
		size_t	nz = `0`,
		size_t	dof = `1`
	)

Function to redefine a vector defined on a mesh to a new mesh.

The program interpolates (piecewise linear) first the vector on a finer structured grid. Then the values on the new mesh nodes are computed.

Remarks: For efficiency the number of grid cells must be large enough so that interpolation provides efficient accuracy

Parameters

[in]	u1	Input vector of nodal values defined on first mesh. This vector instance must contain Mesh instance
[out]	u2	Output vector of nodal values defined on second mesh. This vector instance must contain Mesh instance
[in]	nx	Number of cells in the `x`-direction in the fine structured grid
[in]	ny	Number of cells in the `y`-direction in the fine structured grid The default value of `ny` is `0`, i.e. a 1-D grid
[in]	nz	Number of cells in the `z`-direction in the fine structured grid The default value of `nz` is `0`, i.e. a 1-D or 2-D grid
[in]	dof	Label of degree of freedom of vector `u`. Only this dof is considered. [Default: `1`]

Note: The input vector u1 is a one degree of freedom per node vector, i.e. its size must be equal (or greater than) the total number of nodes of mesh m1. The size of vector u2 is deduced from the mesh m2

Author: Rachid Touzani

Copyright: GNU Lesser Public License

void MeshToMesh	(	Mesh &	m1,
		Mesh &	m2,
		const Vect< real_t > &	u1,
		Vect< real_t > &	u2,
		const Point< real_t > &	xmin,
		const Point< real_t > &	xmax,
		size_t	nx,
		size_t	ny,
		size_t	nz,
		size_t	dof = `1`
	)

Function to redefine a vector defined on a mesh to a new mesh.

The program interpolates (piecewise linear) first the vector on a finer structured grid. Then the values on the new mesh nodes are computed. In this function the grid rectangle is defined so that this one can cover only a submesh of m1.

Remarks: For efficiency the number of grid cells must be large enough so that interpolation provides efficient accuracy

Parameters

[in]	m1	Reference to the first mesh instance
[out]	m2	Reference to the second mesh instance
[in]	u1	Input vector of nodal values defined on first mesh
[out]	u2	Output vector of nodal values defined on second mesh
[in]	xmin	Point instance containing minimal coordinates of the rectangle that defines the grid
[in]	xmax	Point instance containing maximal coordinates of the rectangle that defines the grid
[in]	nx	Number of cells in the `x`-direction in the fine structured grid
[in]	ny	Number of cells in the `y`-direction in the fine structured grid The default value of `ny` is `0`, i.e. a 1-D grid
[in]	nz	Number of cells in the `z`-direction in the fine structured grid The default value of `nz` is `0`, i.e. a 1-D or 2-D grid
[in]	dof	Label of degree of freedom of vector `u`. Only this dof is considered. [Default: `1`]

Note: The input vector u1 is a one degree of freedom per node vector, i.e. its size must be equal (or greater than) the total number of nodes of mesh m1. The size of vector u2 is deduced from the mesh m2

Author: Rachid Touzani

Copyright: GNU Lesser Public License

real_t getMaxSize ( const Mesh & m )

Return maximal size of element edges for given mesh.

Parameters

[in] m Reference to mesh instance

Author: Rachid Touzani

Copyright: GNU Lesser Public License

real_t getMinSize ( const Mesh & m )

Return minimal size of element edges for given mesh.

Parameters

[in] m Reference to mesh instance

Author: Rachid Touzani

Copyright: GNU Lesser Public License

real_t getMinElementMeasure ( const Mesh & m )

Return minimal measure (length, area or volume) of elements of given mesh.

Parameters

[in] m Reference to mesh instance

Author: Rachid Touzani

Copyright: GNU Lesser Public License

real_t getMaxElementMeasure ( const Mesh & m )

Return maximal measure (length, area or volume) of elements of given mesh.

Parameters

[in] m Reference to mesh instance

Author: Rachid Touzani

Copyright: GNU Lesser Public License

real_t getMinSideMeasure ( const Mesh & m )

Return minimal measure (length or area) of sides of given mesh.

Parameters

[in] m Reference to mesh instance

Note: Use this function only if sides are present in the mesh and for 2-D meshes

Author: Rachid Touzani

Copyright: GNU Lesser Public License

real_t getMaxSideMeasure ( const Mesh & m )

Return maximal measure (length or area) of sides of given mesh.

Parameters

[in] m Reference to mesh instance

Note: Use this function only if sides are present in the mesh and for 2-D meshes

Author: Rachid Touzani

Copyright: GNU Lesser Public License

real_t getMeanElementMeasure ( const Mesh & m )

Return average measure (length, area or volume) of elements of given mesh.

Parameters

[in] m Reference to mesh instance

Author: Rachid Touzani

Copyright: GNU Lesser Public License

real_t getMeanSideMeasure ( const Mesh & m )

Return average measure (length or area) of sides of given mesh.

Parameters

[in] m Reference to mesh instance

Note: Use this function only if sides are present in the mesh and for 2-D meshes

Author: Rachid Touzani

Copyright: GNU Lesser Public License

void setNodeCodes	(	Mesh &	m,
		const string &	exp,
		int	code,
		size_t	dof = `1`
	)

Assign a given code to all nodes satisfying a boolean expression using node coordinates.

Parameters

[in]	m	Reference to mesh instance
[in]	exp	Regular expression using `x`, `y`, and `z` coordinates of nodes, according to `exprtk` parser
[in]	code	Code to assign
[in]	dof	Degree of freedom for which code is assigned [Default: `1`]

void setBoundaryNodeCodes	(	Mesh &	m,
		const string &	exp,
		int	code,
		size_t	dof = `1`
	)

Assign a given code to all nodes on boundary that satisfy a boolean expression using node coordinates.

Parameters

[in]	m	Reference to mesh instance
[in]	exp	Regular expression using `x`, `y`, and `z` coordinates of nodes, according to `exprtk` parser
[in]	code	Code to assign
[in]	dof	Degree of freedom for which code is assigned [Default: `1`]

Author: Rachid Touzani

Copyright: GNU Lesser Public License

int NodeInElement	(	const Node *	nd,
		const Element *	el
	)

Say if a given node belongs to a given element.

Parameters

[in]	nd	Pointer to Node
[in]	el	Pointer to Element

Returns: Local label of the node if this one is found, 0 if not.

Author: Rachid Touzani

Copyright: GNU Lesser Public License

int NodeInSide	(	const Node *	nd,
		const Side *	sd
	)

Say if a given node belongs to a given side.

Parameters

[in]	nd	Pointer to Node
[in]	sd	Pointer to Side

Returns: Local label of the node if this one is found, 0 if not.

Author: Rachid Touzani

Copyright: GNU Lesser Public License

int SideInElement	(	const Side *	sd,
		const Element *	el
	)

Say if a given side belongs to a given element.

Parameters

[in]	sd	Pointer to Side
[in]	el	Pointer to Element

Returns: Local label of the side if this one is found, 0 if not.

Author: Rachid Touzani

Copyright: GNU Lesser Public License

ostream & operator<<	(	ostream &	s,
		const Node &	nd
	)

Output node data.

Author: Rachid Touzani

Copyright: GNU Lesser Public License

ostream & operator<<	(	ostream &	s,
		const Side &	sd
	)

Output side data.

Author: Rachid Touzani

Copyright: GNU Lesser Public License

Classes

Macros

Functions

Detailed Description

Macro Definition Documentation

Function Documentation