CGAL 5.6 - 2D and 3D Linear Geometry Kernel

Definition

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

◆ operator()() [1/6]

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 >= 0.

◆ operator()() [2/6]

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 >= 0.

◆ operator()() [3/6]

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.

◆ operator()() [4/6]

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.

◆ operator()() [5/6]

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.

◆ operator()() [6/6]

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.