AosDirectionalXMonotoneTraits_2 Class Reference

#include <Concepts/AosDirectionalXMonotoneTraits_2.h>

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 AosXMonotoneTraits_2 is only required to have a left (lexicographically smaller) endpoint and a right endpoint. If the traits class is also a model of AosDirectionalXMonotoneTraits_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

AosXMonotoneTraits_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

AosXMonotoneTraits_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
	AosDirectionalXMonotoneTraits_2 ()
	default constructor.
	AosDirectionalXMonotoneTraits_2 (AosDirectionalXMonotoneTraits_2 other)
	copy constructor
AosDirectionalXMonotoneTraits_2	operator= (other)
	assignment operator.

Accessing Functor Objects
Compare_endpoints_xy_2	compare_endpoints_xy_2_object ()
Construct_opposite_2	construct_opposite_2_object ()

Member Typedef Documentation

Are_mergeable_2

typedef unspecified_type AosDirectionalXMonotoneTraits_2::Are_mergeable_2

models the concept ArrDirectionalTraits::AreMergeable_2.

Compare_endpoints_xy_2

typedef unspecified_type AosDirectionalXMonotoneTraits_2::Compare_endpoints_xy_2

models the concept ArrDirectionalTraits::CompareEndpointsXy_2.

Construct_opposite_2

typedef unspecified_type AosDirectionalXMonotoneTraits_2::Construct_opposite_2

models the concept ArrDirectionalTraits::ConstructOpposite_2.

Intersect_2

typedef unspecified_type AosDirectionalXMonotoneTraits_2::Intersect_2

models the concept ArrDirectionalTraits::Intersect_2.

Merge_2

typedef unspecified_type AosDirectionalXMonotoneTraits_2::Merge_2

models the concept ArrDirectionalTraits::Merge_2.

Split_2

typedef unspecified_type AosDirectionalXMonotoneTraits_2::Split_2

models the concept ArrDirectionalTraits::Split_2.

Constructor & Destructor Documentation

AosDirectionalXMonotoneTraits_2() [1/2]

AosDirectionalXMonotoneTraits_2::AosDirectionalXMonotoneTraits_2

(

)

default constructor.

AosDirectionalXMonotoneTraits_2() [2/2]

AosDirectionalXMonotoneTraits_2::AosDirectionalXMonotoneTraits_2

(

AosDirectionalXMonotoneTraits_2

other

)

copy constructor

Member Function Documentation

compare_endpoints_xy_2_object()

Compare_endpoints_xy_2 AosDirectionalXMonotoneTraits_2::compare_endpoints_xy_2_object

(

)

construct_opposite_2_object()

Construct_opposite_2 AosDirectionalXMonotoneTraits_2::construct_opposite_2_object

(

)

operator=()

AosDirectionalXMonotoneTraits_2 AosDirectionalXMonotoneTraits_2::operator=

(

other

)

assignment operator.