AosTraits_2 Concept Reference Definition The concept AosTraits_2 allows the construction of arrangement of general planar curves. Models of this concept are used by the free CGAL::insert() functions of the arrangement package and by the CGAL::Arrangement_with_history_2 class. A model of this concept must define the nested Curve_2 type, which represents a general planar curve that is not necessarily \(x\)-monotone and is not necessarily connected. Such curves are eventually subdivided into \(x\)-monotone subcurves and isolated points (represented by the Point_2 and X_monotone_curve_2 types, defined in the basic traits concept). A model of the concept AosTraits_2 that handles arbitrary curves, which are always \(x\)-monotone, such as a traits class that handles linear curves may define the nested types Curve_2 and X_monotone_curve_2 to be of equivalent types. Moreover, defining them as of equivalent types is advantageous, as it enables a generic simple implementation of the nested Functor Make_x_monotone_2. On the other hand, a model of the AosTraits_2 concept that handles arbitrary curves, which may be not \(x\)-monotone must define the Curve_2 and X_monotone_curve_2 nested types to be of different types to allow proper dispatching of the free functions that accept such curves, such as intsert(). Refines AosXMonotoneTraits_2 Has models CGAL::Arr_segment_traits_2<Kernel> CGAL::Arr_non_caching_segment_traits_2<Kernel> CGAL::Arr_linear_traits_2<Kernel> CGAL::Arr_polyline_traits_2<SegmentTraits> CGAL::Arr_circle_segment_traits_2<Kernel> CGAL::Arr_line_arc_traits_2<CircularKernel> CGAL::Arr_circular_arc_traits_2<CircularKernel> CGAL::Arr_circular_line_arc_traits_2<CircularKernel> CGAL::Arr_conic_traits_2<RatKernel,AlgKernel,NtTraits> CGAL::Arr_rational_function_traits_2<AlgebraicKernel_d_1> CGAL::Arr_Bezier_curve_traits_2<RatKernel,AlgKernel,NtTraits> CGAL::Arr_algebraic_segment_traits_2<Coefficient> CGAL::Arr_curve_data_traits_2<Tr,XData,Mrg,CData,Cnv> CGAL::Arr_consolidated_curve_data_traits_2<Traits,Data> See alsoAosBasicTraits_2 AosXMonotoneTraits_2 AosLandmarkTraits_2 Types typedef unspecified_type Curve_2 ! models the concept AosTraits::Curve_2. Functor Types typedef unspecified_type Make_x_monotone_2 models the concept AosTraits::MakeXMonotone_2. Accessing Functor Objects Make_x_monotone_2 make_x_monotone_2_object () const AosTraits_2 Generated by 1.17.0

Definition

The concept AosTraits_2 allows the construction of arrangement of general planar curves. Models of this concept are used by the free CGAL::insert() functions of the arrangement package and by the CGAL::Arrangement_with_history_2 class.

A model of this concept must define the nested Curve_2 type, which represents a general planar curve that is not necessarily \(x\)-monotone and is not necessarily connected. Such curves are eventually subdivided into \(x\)-monotone subcurves and isolated points (represented by the Point_2 and X_monotone_curve_2 types, defined in the basic traits concept).

A model of the concept AosTraits_2 that handles arbitrary curves, which are always \(x\)-monotone, such as a traits class that handles linear curves may define the nested types Curve_2 and X_monotone_curve_2 to be of equivalent types. Moreover, defining them as of equivalent types is advantageous, as it enables a generic simple implementation of the nested Functor Make_x_monotone_2.

On the other hand, a model of the AosTraits_2 concept that handles arbitrary curves, which may be not \(x\)-monotone must define the Curve_2 and X_monotone_curve_2 nested types to be of different types to allow proper dispatching of the free functions that accept such curves, such as intsert().

Refines

AosXMonotoneTraits_2

Has models

CGAL::Arr_segment_traits_2<Kernel>

CGAL::Arr_non_caching_segment_traits_2<Kernel>

CGAL::Arr_linear_traits_2<Kernel>

CGAL::Arr_polyline_traits_2<SegmentTraits>

CGAL::Arr_circle_segment_traits_2<Kernel>

CGAL::Arr_line_arc_traits_2<CircularKernel>

CGAL::Arr_circular_arc_traits_2<CircularKernel>

CGAL::Arr_circular_line_arc_traits_2<CircularKernel>

CGAL::Arr_conic_traits_2<RatKernel,AlgKernel,NtTraits>

CGAL::Arr_rational_function_traits_2<AlgebraicKernel_d_1>

CGAL::Arr_Bezier_curve_traits_2<RatKernel,AlgKernel,NtTraits>

CGAL::Arr_algebraic_segment_traits_2<Coefficient>

CGAL::Arr_curve_data_traits_2<Tr,XData,Mrg,CData,Cnv>

CGAL::Arr_consolidated_curve_data_traits_2<Traits,Data>

See also

AosBasicTraits_2

AosXMonotoneTraits_2

AosLandmarkTraits_2

Types
typedef unspecified_type	Curve_2
	! models the concept AosTraits::Curve_2.

Functor Types
typedef unspecified_type	Make_x_monotone_2
	models the concept AosTraits::MakeXMonotone_2.

Accessing Functor Objects
Make_x_monotone_2	make_x_monotone_2_object () const