CGAL 5.5 - 2D Arrangements
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#include <CGAL/Arrangement_with_history_2.h>
An object arr
of the class Arrangement_with_history_2
represents the planar subdivision induced by a set of input curves \( \cal C\). The arrangement is represented as a doubly-connected edge-list (DCEL). As is the case for the Arrangement_2<Traits,Dcel>
, each DCEL vertex is associated with a point and each edge is associated with an \( x\)-monotone curve whose interior is disjoint from all other curves and points. Each such \( x\)-monotone curve is a subcurve of some \( C \in \cal C\), or may represent an overlap among several curves in \( \cal C\).
The Arrangement_with_history_2
class-template extends the Arrangement_2
class-template by keeping an additional container of input curves representing \( \cal C\), and by maintaining a cross-mapping between these curves and the arrangement edges they induce. This way it is possible to determine the inducing curve(s) of each arrangement edge. This mapping also allows the traversal of input curves, and the traversal of edges induced by each curve.
The Arrangement_with_history_2
template has two parameters:
Traits
template-parameter should be instantiated with a model of the ArrangementTraits_2
concept. The traits class defines the Curve_2
type, which represents an input curve. It also defines the types of \( x\)-monotone curves and two-dimensional points, namely ArrangementTraits_2::X_monotone_curve_2
and ArrangementTraits_2::Point_2
, respectively, and supports basic geometric predicates on them. Dcel
template-parameter should be instantiated with a class that is a model of the ArrangementDcelWithRebind
concept. The value of this parameter is by default Arr_default_dcel<Traits>
. ArrangementDcel
Arr_default_dcel<Traits>
ArrangementTraits_2
Arrangement_2<Traits,Dcel>
insertion functions
removal functions
overlaying arrangements
Types | |
typedef Traits | Geometry_traits |
the geometry traits class. | |
typedef Default_planar_topology< Geometry_traits, Dcel >::Traits | Topology_traits |
The topology traits. | |
typedef Arrangement_on_surface_with_history_2< Geometry_traits, Topology_traits > | Base |
The base arrangement on surface type. | |
Types inherited from the base Arrangement_on_surface_2_with_history_2. | |
typedef Base::Point_2 | Point_2 |
typedef Base::X_monotone_curve_2 | X_monotone_curve_2 |
typedef Base::Curve_2 | Curve_2 |
typedef Base::Size | Size |
typedef Base::Curve_handle | Curve_handle |
typedef Base::Curve_iterator | Curve_iterator |
typedef Base::Induced_edge_iterator | Induced_edge_iterator |
typedef Base::Originating_curve_iterator | Originating_curve_iterator |
Creation | |
Arrangement_with_history_2 () | |
constructs an empty arrangement containing one unbounded face, which corresponds to the whole plane. | |
Arrangement_with_history_2 (const Arrangement_with_history_2< Traits, Dcel > &other) | |
copy constructor. More... | |
Arrangement_with_history_2 (const Traits *traits) | |
constructs an empty arrangement that uses the given traits instance for performing the geometric predicates. | |
Assignment Methods | |
Arrangement_with_history_2< Traits, Dcel > & | operator= (other) |
assignment operator. More... | |
void | assign (const Arrangement_with_history_2< Traits, Dcel > &other) |
assigns the contents of another arrangement. More... | |
void | clear () |
clears the arrangement. More... | |
Access Functions | |
Traits * | traits () |
obtains the traits object used by the arrangement instance. More... | |
CGAL::Arrangement_with_history_2< Traits, Dcel >::Arrangement_with_history_2 | ( | const Arrangement_with_history_2< Traits, Dcel > & | other | ) |
copy constructor.
void CGAL::Arrangement_with_history_2< Traits, Dcel >::assign | ( | const Arrangement_with_history_2< Traits, Dcel > & | other | ) |
assigns the contents of another arrangement.
void CGAL::Arrangement_with_history_2< Traits, Dcel >::clear | ( | ) |
clears the arrangement.
Arrangement_with_history_2<Traits, Dcel>& CGAL::Arrangement_with_history_2< Traits, Dcel >::operator= | ( | other | ) |
assignment operator.
Traits* CGAL::Arrangement_with_history_2< Traits, Dcel >::traits | ( | ) |
obtains the traits object used by the arrangement instance.
A const
version is also available.