CGAL 4.7 - 2D Arrangements: CGAL::Arr_linear_traits_2< Kernel >::Curve_2 Class Reference

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

CGAL 4.7 - 2D Arrangements

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CGAL::Arr_linear_traits_2< Kernel >::Curve_2 Class Reference

`#include <CGAL/Arr_linear_traits_2.h>`

## Definition

The `Curve_2` (and the `X_monotone_curve_2`) class nested within the linear-traits can represent all types of linear objects.

The class supports the copy and default constructor and the assignment operator. In addition, the `operator<<` and `operator>>` for linear objects are defined for standard output and input streams.

## Types

typedef Kernel::Point_2 | Point_2
typedef Kernel::Segment_2 | Segment_2
typedef Kernel::Ray_2 | Ray_2
typedef Kernel::Line_2 | Line_2

## Creation

| Curve_2 (const Segment_2 &seg)
| constructs an line segment.
| Curve_2 (const Ray_2 &ray)
| constructs a ray.
| Curve_2 (const Line_2 &ln)
| constructs a line.

## Access Functions

bool | is_segment () const
| returns whether `c` is a segment (has two bounded endpoints).
Segment_2 | segment () const
| returns a segment object equivalent to `c`. More...
bool | is_ray () const
| returns whether `c` is a ray (has a bounded source point and its other end is unbounded).
Ray_2 | ray () const
| returns a ray object equivalent to `c`. More...
bool | is_line () const
| returns whether `c` is a line (has only unbounded ends).
Line_2 | line () const
| returns a line object equivalent to `c`. More...
Line_2 | supporting_line () const
| returns the supporting line of `c`. More...
Point_2 | source () const
| returns `c`'s source point. More...
Point_2 | target () const
| returns `c`'s target point. More...

## Member Function Documentation

template<typename Kernel >

Line_2 CGAL::Arr_linear_traits_2< Kernel >::Curve_2::line | ( | ) |  | const

returns a line object equivalent to `c`.

Precondition
  `c` is a line.

template<typename Kernel >

Ray_2 CGAL::Arr_linear_traits_2< Kernel >::Curve_2::ray | ( | ) |  | const

returns a ray object equivalent to `c`.

Precondition
  `c` is a ray.

template<typename Kernel >

Segment_2 CGAL::Arr_linear_traits_2< Kernel >::Curve_2::segment | ( | ) |  | const

returns a segment object equivalent to `c`.

Precondition
  `c` is a segment.

template<typename Kernel >

Point_2 CGAL::Arr_linear_traits_2< Kernel >::Curve_2::source | ( | ) |  | const

returns `c`'s source point.

Precondition
  `c` is a point, a segment or a ray.

template<typename Kernel >

Line_2 CGAL::Arr_linear_traits_2< Kernel >::Curve_2::supporting_line | ( | ) |  | const

returns the supporting line of `c`.

Precondition
  `c` is not a point (a degenerate curve).

template<typename Kernel >

Point_2 CGAL::Arr_linear_traits_2< Kernel >::Curve_2::target | ( | ) |  | const

returns `c`'s target point.

Precondition
  `c` is a point or a segment.