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    CGAL 4.7 - Halfedge Data Structures 
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The concept HalfedgeDSFace defines the requirements for the local Face type in the HalfedgeDS concept. It is also required in the Face_wrapper<Refs,Traits> member class template of an items class, see the HalfedgeDSItems concept. 
A face optionally stores a reference to an incident halfedge that points to the face. A type tag indicates whether the related member functions are supported. Figure figureHalfedgeDSOptionalMethods depicts the relationship between a halfedge and its incident halfedges, vertices, and faces.
For the protection of the integrity of the data structure classes such as CGAL::Polyhedron_3 are allowed to redefine the modifying member functions to be private. In order to make them accessible for the halfedge data structure they must be derived from a base class Base where the modifying member functions are still public. (The protection can be bypassed by the user, but not by accident.)
HalfedgeDS<Traits,Items,Alloc> HalfedgeDSItems HalfedgeDSVertex HalfedgeDSHalfedge Types | |
| typedef unspecified_type | HalfedgeDS | 
instantiated HalfedgeDS ( \( \equiv\) Refs).  More... | |
| typedef unspecified_type | Base | 
| base class that allows modifications.  More... | |
| typedef unspecified_type | Vertex | 
model of HalfedgeDSVertex.  More... | |
| typedef unspecified_type | Halfedge | 
model of HalfedgeDSHalfedge.  More... | |
| typedef unspecified_type | Vertex_handle | 
| handle to vertex.  More... | |
| typedef unspecified_type | Halfedge_handle | 
| handle to halfedge.  More... | |
| typedef unspecified_type | Face_handle | 
| handle to face.  More... | |
| typedef unspecified_type | Vertex_const_handle | 
| typedef unspecified_type | Halfedge_const_handle | 
| typedef unspecified_type | Face_const_handle | 
| typedef unspecified_type | Supports_face_halfedge | 
CGAL::Tag_true or CGAL::Tag_false.  More... | |
Creation | |
| Face () | |
| default constructor.  More... | |
Operations available if Supports_face_halfedge == CGAL::Tag_true | |
| Halfedge_handle | halfedge () | 
| Halfedge_const_handle | halfedge () const | 
| incident halfedge that points to the face.  More... | |
| void | set_halfedge (Halfedge_handle h) | 
sets incident halfedge to h.  More... | |
| typedef unspecified_type HalfedgeDSFace::Base | 
base class that allows modifications.
handle to face.
model of HalfedgeDSHalfedge. 
handle to halfedge.
instantiated HalfedgeDS ( \( \equiv\) Refs). 
model of HalfedgeDSVertex. 
handle to vertex.
| HalfedgeDSFace::Face | ( | ) | 
default constructor.
| Halfedge_handle HalfedgeDSFace::halfedge | ( | ) | 
| Halfedge_const_handle HalfedgeDSFace::halfedge | ( | ) | const | 
incident halfedge that points to the face.
| void HalfedgeDSFace::set_halfedge | ( | Halfedge_handle | h | ) | 
sets incident halfedge to h.