CGAL 6.1.2 - 2D and 3D Linear Geometry Kernel: Kernel::ConstructBisector_2 Concept Reference

CGAL 6.1.2 - 2D and 3D Linear Geometry Kernel

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Kernel::ConstructBisector_2 Concept Reference
Reference Manual » Concepts » Kernel Function Object Concepts

## Definition

Refines
  `AdaptableFunctor`

See also
  `CGAL::bisector()`

## Operations
A model of this concept must provide:
Kernel::Line_2 | operator() (const Kernel::Point_2 &p, const Kernel::Point_2 &q)
| constructs the bisector of `p` and `q`.
Kernel::Line_2 | operator() (const Kernel::Line_2 &l1, const Kernel::Line_2 &l2)
| constructs the bisector of the two lines `l1` and `l2`.

## Member Function Documentation

## ◆ operator()() [1/2]

Kernel::Line_2 Kernel::ConstructBisector_2::operator() | ( | const Kernel::Line_2 & | l1,
|  | const Kernel::Line_2 & | l2
| ) |  |

constructs the bisector of the two lines `l1` and `l2`.

In the general case, the bisector has the direction of the vector which is the sum of the normalized directions of the two lines, and which passes through the intersection of `l1` and `l2`. If `l1` and `l2` are parallel, then the bisector is defined as the line which has the same direction as `l1`, and which is at the same distance from `l1` and `l2`.

## ◆ operator()() [2/2]

Kernel::Line_2 Kernel::ConstructBisector_2::operator() | ( | const Kernel::Point_2 & | p,
|  | const Kernel::Point_2 & | q
| ) |  |

constructs the bisector of `p` and `q`.

The bisector is oriented in such a way that `p` lies on its positive side.

Precondition
  `p != q`.