CGAL 6.2 - 2D and 3D Linear Geometry Kernel: Kernel::PowerSideOfOrientedPowerCircle_2 Concept Reference

CGAL 6.2 - 2D and 3D Linear Geometry Kernel

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Kernel::PowerSideOfOrientedPowerCircle_2 Concept Reference
Reference Manual » Concepts » Kernel Function Object Concepts

## Definition

Refines
  `AdaptableQuaternaryFunction`

See also
  `CGAL::Weighted_point_2<Kernel>`
  `ComputePowerProduct_2` for the definition of power distance.
  `PowerSideOfBoundedPowerCircle_2`

## Operations
A model of this concept must provide:
Oriented_side | operator() (const Kernel::Weighted_point_2 &p, const Kernel::Weighted_point_2 &q, const Kernel::Weighted_point_2 &r, const Kernel::Weighted_point_2 &s)
| returns the relative position of point `s` to the oriented power circle defined by `p`, `q`, and `r`.

## Member Function Documentation

## ◆ operator()()

Oriented_side Kernel::PowerSideOfOrientedPowerCircle_2::operator() | ( | const Kernel::Weighted_point_2 & | p,
|  | const Kernel::Weighted_point_2 & | q,
|  | const Kernel::Weighted_point_2 & | r,
|  | const Kernel::Weighted_point_2 & | s
| ) |  |

returns the relative position of point `s` to the oriented power circle defined by `p`, `q`, and `r`.

The order of the points `p`, `q` and `r` is important, since it determines the orientation of the implicitly constructed power circle.

Precondition
  the bare points corresponding to `p`, `q`, `r` are not collinear.