\( \newcommand{\E}{\mathrm{E}} \) \( \newcommand{\A}{\mathrm{A}} \) \( \newcommand{\R}{\mathrm{R}} \) \( \newcommand{\N}{\mathrm{N}} \) \( \newcommand{\Q}{\mathrm{Q}} \) \( \newcommand{\Z}{\mathrm{Z}} \) \( \def\ccSum #1#2#3{ \sum_{#1}^{#2}{#3} } \def\ccProd #1#2#3{ \sum_{#1}^{#2}{#3} }\)

CGAL 4.3 - 2D Arrangements

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ArrangementLandmarkTraits_2 Concept Reference
Traits Concepts

## Definition

The concept `ArrangementLandmarkTraits_2` refines the general traits concept by adding operations needed for the landmarks point-location strategy, namely - approximating points and connecting points with a simple \( x\)-monotone curve.

A model of this concept must define the `Approximate_number_type`, which is used to approximate the coordinates of `Point_2` instances. It is recommended to define the approximated number type as the built-in `double` type.

Refines:
  `ArrangementTraits_2`

Has Models:

  `CGAL::Arr_non_caching_segment_traits_2<Kernel>`

  `CGAL::Arr_segment_traits_2<Kernel>`

  `CGAL::Arr_linear_traits_2<Kernel>`

  `CGAL::Arr_polyline_traits_2<SegmentTraits>`

  `CGAL::Arr_conic_traits_2<RatKernel,AlgKernel,NtTraits>`

See Also
  `ArrangementTraits_2`

## Types
typedef unspecified_type | Approximate_number_type
| the number type used to approximate point coordinates.

## Functor Types
typedef unspecified_type | Approximate_2
| models the concept `ArrTraits::Approximate_2`.
typedef unspecified_type | Construct_x_monotone_curve_2
| models the concept `ArrTraits::ConstructXMonotoneCurve_2`.

## Accessing Functor Objects
Approximate_2 | approximate_2_object () const
Construct_x_monotone_curve_2 | construct_x_monotone_curve_2_object () const