\( \newcommand{\E}{\mathrm{E}} \) \( \newcommand{\A}{\mathrm{A}} \) \( \newcommand{\R}{\mathrm{R}} \) \( \newcommand{\N}{\mathrm{N}} \) \( \newcommand{\Q}{\mathrm{Q}} \) \( \newcommand{\Z}{\mathrm{Z}} \) \( \def\ccSum #1#2#3{ \sum_{#1}^{#2}{#3} } \def\ccProd #1#2#3{ \sum_{#1}^{#2}{#3} }\)
CGAL 4.4 - 2D and 3D Linear Geometry Kernel
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Kernel::ConstructCircle_3 Concept Reference

Definition

Refines:
AdaptableFunctor (with three arguments)
See Also
CGAL::Circle_3<Kernel>

Operations

A model of this concept must provide:

Kernel::Circle_3 operator() (Kernel::Point_3 const &center, Kernel::FT const &sq_r, Kernel::Plane_3 const &plane)
 introduces a variable of type Kernel::Circle_3. More...
 
Kernel::Circle_3 operator() (Kernel::Point_3 const &center, Kernel::FT const &sq_r, Kernel::Vector_3 const &n)
 introduces a variable of type Kernel::Circle_3. More...
 
Kernel::Circle_3 operator() (Kernel::Point_3 const &p, Kernel::Point_3 const &q, Kernel::Point_3 const &r)
 introduces a variable of type Kernel::Point_3. More...
 
Kernel::Circle_3 operator() (Kernel::Sphere_3 const &sphere1, Kernel::Sphere_3 const &sphere2)
 introduces a variable of type Kernel::Circle_3. More...
 
Kernel::Circle_3 operator() (Kernel::Sphere_3 const &sphere, Kernel::Plane_3 const &plane)
 introduces a variable of type Kernel::Circle_3. More...
 
Kernel::Circle_3 operator() (Kernel::Plane_3 const &plane, Kernel::Sphere_3 const &sphere)
 introduces a variable of type Kernel::Circle_3. More...
 

Member Function Documentation

Kernel::Circle_3 Kernel::ConstructCircle_3::operator() ( Kernel::Point_3 const &  center,
Kernel::FT const &  sq_r,
Kernel::Plane_3 const &  plane 
)

introduces a variable of type Kernel::Circle_3.

It is initialized to the circle with center center, and squared radius sq_r in the plane plane.

Precondition
center lies in plane and sq_r \( \geq\) 0.
Kernel::Circle_3 Kernel::ConstructCircle_3::operator() ( Kernel::Point_3 const &  center,
Kernel::FT const &  sq_r,
Kernel::Vector_3 const &  n 
)

introduces a variable of type Kernel::Circle_3.

It is initialized to the circle with center center, and squared radius sq_r in the plane containing center and normal to n.

Precondition
sq_r \( \geq\) 0.
Kernel::Circle_3 Kernel::ConstructCircle_3::operator() ( Kernel::Point_3 const &  p,
Kernel::Point_3 const &  q,
Kernel::Point_3 const &  r 
)

introduces a variable of type Kernel::Point_3.

It is initialized to the circle passing through the three points.

Precondition
The three points are not collinear.
Kernel::Circle_3 Kernel::ConstructCircle_3::operator() ( Kernel::Sphere_3 const &  sphere1,
Kernel::Sphere_3 const &  sphere2 
)

introduces a variable of type Kernel::Circle_3.

It is initialized to the circle along which the two spheres intersect.

Precondition
The two spheres intersect along a circle.
Kernel::Circle_3 Kernel::ConstructCircle_3::operator() ( Kernel::Sphere_3 const &  sphere,
Kernel::Plane_3 const &  plane 
)

introduces a variable of type Kernel::Circle_3.

It is initialized to the circle along which the sphere and the plane intersect.

Precondition
The sphere and the plane intersect along a circle.
Kernel::Circle_3 Kernel::ConstructCircle_3::operator() ( Kernel::Plane_3 const &  plane,
Kernel::Sphere_3 const &  sphere 
)

introduces a variable of type Kernel::Circle_3.

It is initialized to the circle along which the sphere and the plane intersect.

Precondition
The sphere and the plane intersect along a circle.