Kernel::ConstructCircle_2 Concept Reference Definition Refines AdaptableTernaryFunction See alsoCGAL::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. 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. 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. Kernel::Circle_2 operator() (Kernel::Point_2 const &center, Orientation const &orientation=COUNTERCLOCKWISE) introduces a variable of type Kernel::Circle_2. Member Function Documentation 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. Preconditionorientation != CGAL::COLLINEAR and squared_radius >= 0. operator()() [2/4] 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. Preconditionorientation != CGAL::COLLINEAR. Postcondition.is_degenerate() = true. operator()() [3/4] 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. Preconditionp, q, and r are not collinear. operator()() [4/4] 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. Preconditionorientation != CGAL::COLLINEAR. KernelConstructCircle_2 Generated by 1.17.0

Definition

Refines

AdaptableTernaryFunction

See also

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

Member Function Documentation

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 != CGAL::COLLINEAR and squared_radius >= 0.

operator()() [2/4]

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 != CGAL::COLLINEAR.

Postcondition

.is_degenerate() = true.

operator()() [3/4]

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()() [4/4]

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 != CGAL::COLLINEAR.