\( \newcommand{\E}{\mathrm{E}} \) \( \newcommand{\A}{\mathrm{A}} \) \( \newcommand{\R}{\mathrm{R}} \) \( \newcommand{\N}{\mathrm{N}} \) \( \newcommand{\Q}{\mathrm{Q}} \) \( \newcommand{\Z}{\mathrm{Z}} \) \( \def\ccSum #1#2#3{ \sum_{#1}^{#2}{#3} } \def\ccProd #1#2#3{ \sum_{#1}^{#2}{#3} }\)
CGAL 4.3 - 2D Arrangements
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CGAL::Arr_polyline_traits_2< SegmentTraits > Class Template Reference

#include <CGAL/Arr_polyline_traits_2.h>

Definition

The traits class Arr_polyline_traits_2 is a model of the ArrangementTraits_2 concept.

It handles piecewise linear curves, commonly referred to as polylines. Each polyline is a chain of segments, where each two neighboring segments in the chain share a common endpoint. The traits class exploits the functionality of the SegmentTraits template-parameter to handle the segments that comprise the polyline curves.

The class instantiated for the template parameter SegmentTraits must be a model of the ArrangementTraits_2 concept that handles line segments (e.g., Arr_segment_traits_2<Kernel> or Arr_non_caching_segment_traits_2<Kernel>, where the first alternative is recommended).

The number type used by the injected segment traits should support exact rational arithmetic (that is, the number type should support the arithmetic operations \( +\), \( -\), \( \times\) and \( \div\) that should be carried out without loss of precision), in order to avoid robustness problems, although other inexact number types could be used at the user's own risk.

Is Model Of:

ArrangementTraits_2

ArrangementLandmarkTraits_2

See Also
Arr_segment_traits_2<Kernel>
Arr_non_caching_segment_traits_2<Kernel>
Examples:
Arrangement_on_surface_2/generic_curve_data.cpp, and Arrangement_on_surface_2/polylines.cpp.

Classes

class  Curve_2
 The Curve_2 class nested within the polyline traits is used to represent general continuous piecewise-linear curves (a polyline can be self-intersecting) and support their construction from any range of points. More...
 
class  X_monotone_curve_2
 The X_monotone_curve_2 class nested within the polyline traits is used to represent \( x\)-monotone piecewise linear curves. More...