CGAL 6.1 - 2D Arrangements

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AosTopologyTraits Concept Reference
Reference Manual » Concepts » Topology Traits Concepts

## Definition

A geometry traits class encapsulates the definitions of the geometric entities and implements the geometric predicates and constructions needed by instances of the `CGAL::Arrangement_on_surface_2` class template and by the peripheral algorithms that operate on objects of such instances. Essentially, it maintains the doubly-connected connected edge list (DCEL) used by the arrangement.

The package contains three topology traits, as follows:

- `CGAL::Arr_spherical_topology_traits_2`—can serve as a topology traits for an arrangement of planar bounded curves.
- `CGAL::Arr_bounded_planar_topology_traits_2`—can serve as a topology traits for an arrangement of planar unbounded curves.
- `CGAL::Arr_unb_planar_topology_traits_2`—can serve as a topology traits for an arrangement of arcs of great circles embedded on a sphere.

At this point we do not expose all the requirements of this concept.

Has models
  `CGAL::Arr_bounded_planar_topology_traits_2<GeometryTraits_2,Dcel>`
  `CGAL::Arr_unb_planar_topology_traits_2<GeometryTraits_2,Dcel>`
  `CGAL::Arr_spherical_topology_traits_2<GeometryTraits_2,Dcel>`

See also
  `Arrangement_on_surface_2<GeometryTraits_2,TopologyTraits>`

## Types
typedef unspecified_type | Geometry_traits_2

## Creation
| Arr_topology_traits ()
| constructs default.
| Arr_topology_traits (const Geometry_traits_2 *geometry_traits)
| constructs from a geometry-traits object.

## Access Functions
const Dcel & | dcel () const
| obtains the (const) DCEL.
Dcel & | dcel ()
| obtains the (non-const) DCEL.