Kernel::ConstructCircle_3 Concept Reference

Definition

Refines

AdaptableTernaryFunction

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

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.