\( \newcommand{\E}{\mathrm{E}} \) \( \newcommand{\A}{\mathrm{A}} \) \( \newcommand{\R}{\mathrm{R}} \) \( \newcommand{\N}{\mathrm{N}} \) \( \newcommand{\Q}{\mathrm{Q}} \) \( \newcommand{\Z}{\mathrm{Z}} \) \( \def\ccSum #1#2#3{ \sum_{#1}^{#2}{#3} } \def\ccProd #1#2#3{ \sum_{#1}^{#2}{#3} }\)
CGAL 4.11 - 2D Regularized Boolean Set-Operations
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ArrangementDirectionalXMonotoneTraits_2 Concept Reference
Concepts

Definition

This concept refines the basic arrangement \( x\)-monotone traits concept. A model of this concept is able to handle directed \( x\)-monotone curves that intersect in their interior. Namely, an instance of the X_monotone_curve_2 type defined by a model of the concept ArrangementXMonotoneTraits_2 is only required to have a left (lexicographically smaller) endpoint and a right endpoint. If the traits class is also a model of ArrangementDirectionalXMonotoneTraits_2, the \( x\)-monotone curve is also required to have a direction, namely one of these two endpoint serves as its source and the other as its target.

Refines:
ArrangementXMonotoneTraits_2
Has Models:

CGAL::Arr_segment_traits_2<Kernel>

CGAL::Arr_non_caching_segment_traits_2<Kernel>

CGAL::Arr_circle_segment_traits_2<Kernel>

CGAL::Arr_conic_traits_2<RatKernel,AlgKernel,NtTraits>

CGAL::Arr_rational_function_traits_2<AlgKernel,NtTraits>

CGAL::Arr_Bezier_curve_traits_2<RatKernel,AlgKernel,NtTraits>

CGAL::Arr_algebraic_segment_traits_2<Coefficient>

See Also
ArrangementXMonotoneTraits_2

Functor Types

typedef unspecified_type Compare_endpoints_xy_2
 models the concept ArrDirectionalTraits::CompareEndpointsXy_2.
 
typedef unspecified_type Construct_opposite_2
 models the concept ArrDirectionalTraits::ConstructOpposite_2.
 
typedef unspecified_type Intersect_2
 models the concept ArrDirectionalTraits::Intersect_2.
 
typedef unspecified_type Split_2
 models the concept ArrDirectionalTraits::Split_2.
 
typedef unspecified_type Are_mergeable_2
 models the concept ArrDirectionalTraits::AreMergeable_2.
 
typedef unspecified_type Merge_2
 models the concept ArrDirectionalTraits::Merge_2.
 

Creation

 ArrangementDirectionalXMonotoneTraits_2 ()
 default constructor.
 
 ArrangementDirectionalXMonotoneTraits_2 (ArrangementDirectionalXMonotoneTraits_2 other)
 copy constructor
 
ArrangementDirectionalXMonotoneTraits_2 operator= (other)
 assignment operator.
 

Accessing Functor Objects

Compare_endpoints_xy_2 compare_endpoints_xy_2_object ()
 
Construct_opposite_2 construct_opposite_2_object ()