\( \newcommand{\E}{\mathrm{E}} \) \( \newcommand{\A}{\mathrm{A}} \) \( \newcommand{\R}{\mathrm{R}} \) \( \newcommand{\N}{\mathrm{N}} \) \( \newcommand{\Q}{\mathrm{Q}} \) \( \newcommand{\Z}{\mathrm{Z}} \) \( \def\ccSum #1#2#3{ \sum_{#1}^{#2}{#3} } \def\ccProd #1#2#3{ \sum_{#1}^{#2}{#3} }\)
CGAL 4.12.1 - 2D Arrangements
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ArrangementConstructXMonotoneCurveTraits_2 Concept Reference
2D Arrangement Reference » Concepts » Traits Concepts

Definition

The concept ArrangementConstructXMonotoneCurveTraits_2 refines the basic traits concept ArrangementBasicTraits_2. A model of this concept is able to construct an \( x\)-monotone curve from two points.

Refines:
ArrangementBasicTraits_2
Has Models:

CGAL::Arr_conic_traits_2<RatKernel,AlgKernel,NtTraits>

CGAL::Arr_non_caching_segment_traits_2<Kernel>

CGAL::Arr_segment_traits_2<Kernel>

CGAL::Arr_polyline_traits_2<SegmentTraits_2>

CGAL::Arr_rational_function_traits_2<AlgebraicKernel_d_1>

Has Models:
CGAL::Arr_linear_traits_2<Kernel>
See also
ArrangementApproximateTraits_2, ArrangementXMonotoneTraits_2, and ArrangementTraits_2

Public Types

typedef ArrTraits::X_monotone_curve_2 X_monotone_curve_2
 
typedef ArrTraits::Point_2 Point_2
 

Public Member Functions

X_monotone_curve_2 operator() (Point_2 p1, Point_2 p2)
 returns an \( x\)-monotone curve connecting p1 and p2 (i.e., the two input points are its endpoints).