\( \newcommand{\E}{\mathrm{E}} \) \( \newcommand{\A}{\mathrm{A}} \) \( \newcommand{\R}{\mathrm{R}} \) \( \newcommand{\N}{\mathrm{N}} \) \( \newcommand{\Q}{\mathrm{Q}} \) \( \newcommand{\Z}{\mathrm{Z}} \) \( \def\ccSum #1#2#3{ \sum_{#1}^{#2}{#3} } \def\ccProd #1#2#3{ \sum_{#1}^{#2}{#3} }\)
CGAL 4.12.1 - 2D Arrangements
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ArrTraits::CompareYAtXLeft_2 Concept Reference
2D Arrangement Reference » Concepts » Function Object Concepts

Definition

Refines:
AdaptableTernaryFunction
Has Models:
ArrangementBasicTraits_2::Compare_y_at_x_left_2

Operations

A model of this concept must provide:

Comparison_result operator() (ArrTraits::X_monotone_curve_2 xc1, ArrTraits::X_monotone_curve_2 xc2, ArrTraits::Point_2 p)
 accepts two \( x\)-monotone curves xc1 and xc2 that have a common right endpoint p, and returns SMALLER, EQUAL or LARGER according to the relative position of the two curves immediately to the left of \( p\). More...
 

Member Function Documentation

◆ operator()()

Comparison_result ArrTraits::CompareYAtXLeft_2::operator() ( ArrTraits::X_monotone_curve_2  xc1,
ArrTraits::X_monotone_curve_2  xc2,
ArrTraits::Point_2  p 
)

accepts two \( x\)-monotone curves xc1 and xc2 that have a common right endpoint p, and returns SMALLER, EQUAL or LARGER according to the relative position of the two curves immediately to the left of \( p\).

Note that in case one of the \( x\)-monotone curves is a vertical segment (emanating downward from p), it is always considered to be below the other curve.