Kernel::ConstructCircle_2 Concept Reference

Definition

Refines:

AdaptableFunctor (with three arguments)

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. 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...

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 \( \neq\) 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.