\( \newcommand{\E}{\mathrm{E}} \) \( \newcommand{\A}{\mathrm{A}} \) \( \newcommand{\R}{\mathrm{R}} \) \( \newcommand{\N}{\mathrm{N}} \) \( \newcommand{\Q}{\mathrm{Q}} \) \( \newcommand{\Z}{\mathrm{Z}} \) \( \def\ccSum #1#2#3{ \sum_{#1}^{#2}{#3} } \def\ccProd #1#2#3{ \sum_{#1}^{#2}{#3} }\)
CGAL 4.10 - 2D and 3D Linear Geometry Kernel
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Kernel::PowerSideOfOrientedPowerCircle_2 Concept Reference

Definition

See Also
CGAL::Weighted_point_2<Kernel>
ComputePowerProduct_2 for the definition of power distance.

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)
 power test for points p, q, r and s. More...
 
Oriented_side operator() (const Kernel::Weighted_point_2 &p, const Kernel::Weighted_point_2 &q, const Kernel::Weighted_point_2 &r)
 degenerated power test for collinear points p, q, r. More...
 
Oriented_side operator() (const Kernel::Weighted_point_2 &p, const Kernel::Weighted_point_2 &q)
 degenerated power test for weighted points p and q whose corresponding bare points are identical. More...
 

Member Function Documentation

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 
)

power test for points p, q, r and s.

Precondition
the bare points corresponding to p, q, r are not collinear.
Oriented_side Kernel::PowerSideOfOrientedPowerCircle_2::operator() ( const Kernel::Weighted_point_2 p,
const Kernel::Weighted_point_2 q,
const Kernel::Weighted_point_2 r 
)

degenerated power test for collinear points p, q, r.

Precondition
p and q have different bare points.
Oriented_side Kernel::PowerSideOfOrientedPowerCircle_2::operator() ( const Kernel::Weighted_point_2 p,
const Kernel::Weighted_point_2 q 
)

degenerated power test for weighted points p and q whose corresponding bare points are identical.

Precondition
p and q have equal bare points.