CGAL 5.1.3  2D Regularized Boolean SetOperations

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.
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>
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 () 