CGAL 5.4 - 2D and 3D Linear Geometry Kernel
Kernel::ConstructCircle_2 Concept Reference

Definition

Refines:
AdaptableFunctor (with three arguments)
CGAL::Circle_2<Kernel>

Operations

A model of this concept must provide:

Kernel::Circle_2 operator() (Kernel::Point_2 const &center, Kernel::FT const &squared_radius, Orientation const &orientation=COUNTERCLOCKWISE)
introduces a variable of type Kernel::Circle_2. More...

Kernel::Circle_2 operator() (Kernel::Point_2 const &p, Kernel::Point_2 const &q, Kernel::Point_2 const &r)
introduces a variable of type Kernel::Circle_2. More...

Kernel::Circle_2 operator() (Kernel::Point_2 const &p, Kernel::Point_2 const &q, Orientation const &orientation=COUNTERCLOCKWISE)
introduces a variable of type Kernel::Circle_2. More...

Kernel::Circle_2 operator() (Kernel::Point_2 const &center, Orientation const &orientation=COUNTERCLOCKWISE)
introduces a variable of type Kernel::Circle_2. More...

◆ operator()() [1/4]

 Kernel::Circle_2 Kernel::ConstructCircle_2::operator() ( Kernel::Point_2 const & center, Kernel::FT const & squared_radius, Orientation const & orientation = COUNTERCLOCKWISE )

introduces a variable of type Kernel::Circle_2.

It is initialized to the circle with center center, squared radius squared_radius and orientation orientation.

Precondition
orientation $$\neq$$ CGAL::COLLINEAR, and further, squared_radius $$\geq$$ 0.

◆ operator()() [2/4]

 Kernel::Circle_2 Kernel::ConstructCircle_2::operator() ( Kernel::Point_2 const & p, Kernel::Point_2 const & q, Kernel::Point_2 const & r )

introduces a variable of type Kernel::Circle_2.

It is initialized to the unique circle which passes through the points p, q and r. The orientation of the circle is the orientation of the point triple p, q, r.

Precondition
p, q, and r are not collinear.

◆ operator()() [3/4]

 Kernel::Circle_2 Kernel::ConstructCircle_2::operator() ( Kernel::Point_2 const & p, Kernel::Point_2 const & q, Orientation const & orientation = COUNTERCLOCKWISE )

introduces a variable of type Kernel::Circle_2.

It is initialized to the circle with diameter pq and orientation orientation.

Precondition
orientation $$\neq$$ CGAL::COLLINEAR.

◆ operator()() [4/4]

 Kernel::Circle_2 Kernel::ConstructCircle_2::operator() ( Kernel::Point_2 const & center, Orientation const & orientation = COUNTERCLOCKWISE )

introduces a variable of type Kernel::Circle_2.

It is initialized to the circle with center center, squared radius zero and orientation orientation.

Precondition
orientation $$\neq$$ CGAL::COLLINEAR.
Postcondition
.is_degenerate() = true.