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

CGAL 4.8 - 2D and 3D Linear Geometry Kernel

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Kernel::ConstructPointOn_2 Concept Reference
Kernel Function Object Concepts

## Definition

Refines:
  `AdaptableFunctor` (with two arguments)

See Also
  `CGAL::Line_2<Kernel>`
  `CGAL::Ray_2<Kernel>`
  `CGAL::Segment_2<Kernel>`

## Operations
A model of this concept must provide:
Kernel::Point_2 | operator() (const Kernel::Line_2 &l, int i)
| returns an arbitrary point on `l`. More...
Kernel::Point_2 | operator() (const Kernel::Ray_2 &r, int i)
| returns a point on `r`. More...
Kernel::Point_2 | operator() (const Kernel::Segment_2 &s, int i)
| returns source or target of `s`: `point(0)` returns the source of `s`, `point(1)` returns the target of `s`. More...

## Member Function Documentation

Kernel::Point_2 Kernel::ConstructPointOn_2::operator() | ( | const Kernel::Line_2 & | l,
|  | int | i
| ) |  |

returns an arbitrary point on `l`.

It holds `point(i) == point(j)`, iff `i==j`. Furthermore, is directed from `point(i)` to `point(j)`, for all `i < j`.

Kernel::Point_2 Kernel::ConstructPointOn_2::operator() | ( | const Kernel::Ray_2 & | r,
|  | int | i
| ) |  |

returns a point on `r`.

`point(0)` is the source, `point(i)`, with `i>0`, is different from the source.

Precondition
  `i>= 0`.

Kernel::Point_2 Kernel::ConstructPointOn_2::operator() | ( | const Kernel::Segment_2 & | s,
|  | int | i
| ) |  |

returns source or target of `s`: `point(0)` returns the source of `s`, `point(1)` returns the target of `s`.

The parameter `i` is taken modulo 2, which gives easy access to the other end point.