CGAL 6.1.1 - 2D Arrangements

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AosTraits::CompareYAtXLeft_2 Concept Reference
Reference Manual » Concepts » Function Object Concepts

## Definition

Refines
  `AdaptableTernaryFunction`

Has models
  `AosBasicTraits_2::Compare_y_at_x_left_2`

## Operations
A model of this concept must provide:
Comparison_result | operator() (AosTraits::X_monotone_curve_2 xc1, AosTraits::X_monotone_curve_2 xc2, AosTraits::Point_2 p)
| accepts two \(x\)-monotone curves `xc1` and `xc2` that have a common right endpoint `p`, and returns `CGAL::SMALLER`, `CGAL::EQUAL` or `CGAL::LARGER` according to the relative position of the two curves immediately to the left of \(p\).

## Member Function Documentation

## ◆ operator()()

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

accepts two \(x\)-monotone curves `xc1` and `xc2` that have a common right endpoint `p`, and returns `CGAL::SMALLER`, `CGAL::EQUAL` or `CGAL::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.