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% | Reference manual page: VisibilityComplexEdge.tex
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% | Last revision: 09.07.2002   
% | Author : Pierre Angelier <Pierre.Angelier@ens.fr>
% | Maintainer: Laurent Rineau <Laurent.Rineau@ens.fr>
% | Package: Visibility_complex
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\ccRefPageBegin

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\begin{ccRefConcept}{VisibilityComplexEdge}
\label{pageVCEdgeRef}
  
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\ccDefinition

The concept \ccRefName\ represents the edge class in the visibility complex.
It defines the minimal requirements for the \ccc{Edge} type in the
\ccc{VisibilityComplex} concept. It is also required in the
\ccc{Edge_wrapper<_Vc,_Tr>} member class template of an items class, see the
\ccc{VisibilityComplex_Items} concept. In addition to the requirement below, the
concept \ccRefName\ must inherit from the \ccc{Arc} concept
\ccIndexMainItem[c]{Arc}.
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\ccInheritsFrom
\ccRefConceptPage{Arc}\\
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\ccTypes
\ccThree{typedef Edge::Vertex_handle}{Vertex_handle;}{}
\ccThreeToTwo

\ccNestedType{Gt} {geometric traits class. }
\ccGlue
\ccNestedType{Vertex}{model of \ccc{Vertex}.}
\ccGlue
\ccNestedType{Edge}{model of \ccc{Edge}.}
\ccGlue
\ccNestedType{Face}{model of \ccc{Face}.}

\ccNestedType{Vertex_handle}{handle to vertex.}
\ccGlue
\ccNestedType{Edge_handle}{handle to halfedge.}
\ccGlue
\ccNestedType{Face_handle}{handle to face.}
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\ccThree{Vertex_handle}{void v.set_inf(Vertex_handle v);}{}
\ccThreeToTwo

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\ccCreation
\ccCreationVariable{e}

\ccConstructor{Edge();}{default constructor.}
\ccConstructor{Edge(bool s, Disk_handle p);}
{ creates a edge with positive sign if $s$ is true and negative otherwise.
The underlying arc is the complete boundary of the disk $p$. }
\ccConstructor{Edge(Vertex_handle v, Vertex_handle w , Disk_handle p);}
{ creates an edge on disk $p$ whose source is $v$ and sink $w$. The underlying
arc is defined by the extremities of $v$ and $w$ on $p$. }
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\ccOperations

\ccTagFullDeclarations
\ccMethod{Face_handle dl(); const}{}
\ccGlue
\ccMethod{Face_handle dr(); const}{}
\ccGlue
\ccMethod{Face_handle ul(); const}{}
\ccGlue
\ccMethod{Face_handle ur(); const}
    { returns a handle to one of the three faces adjacent to the edge \ccVar. For
      a positive (resp. negative) edge, \ccc{dr()} and \ccc{dl()} (resp.
      \ccc{ur()} and \ccc{ul()}) return the same \ccc{Face_handle}.}
\ccMethod{Face_handle face(); const}
    {returns the unique face adjacent to \ccVar\ if \ccVar\ is a constraint edge.
     Otherwise $0$ is returned.}
\ccMethod{void set_adjacent_faces(Face_handle f0,Face_handle f1,Face_handle f2);}
    {set \ccc{f0,f1,f2} as the adjacent faces of \ccVar. For a positive edge, 
     \ccc{f0 = dl() = dr()}, \ccc{f1 = ur()} and \ccc{f2 = ul()}. For a negative
     edge \ccc{f0 = dl()}, \ccc{f1 = dr()} and \ccc{f2 = ul() = ur()}.}
\ccMethod{Vertex_handle sup(); const}
    {returns the sink vertex of \ccVar.}
\ccGlue
\ccMethod{Vertex_handle inf(); const}
    {returns the source vertex of \ccVar.}
\ccGlue
\ccMethod{void set_inf(Vertex_handle v);}
    {sets the source vertex of \ccVar\  to $v$ and sets the \ccc{ccw_edge}
    of $v$ to \ccVar.}
\ccGlue
\ccMethod{void set_sup(Vertex_handle v);}
    {sets the sink vertex of \ccVar\  to $v$ and sets the \ccc{cw_edge}
    of $v$ to \ccVar.}
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\ccHasModels

\ccRefIdfierPage{CGAL::Visibility_complex_edge_base<Vc>}
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\ccSeeAlso

\ccRefConceptPage{Arc} \\
\ccRefConceptPage{VisibilityComplex} \\
\ccRefConceptPage{VisibilityComplexItems}\\
\ccRefConceptPage{VisibilityComplexVertex}\\
\ccRefConceptPage{VisibilityComplexFace}
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\ccTagDefaults
\end{ccRefConcept}
\ccRefPageEnd
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