CGAL::Circle_2<Kernel>

Definition

An object of type Circle_2<Kernel> is a circle in the two-dimensional Euclidean plane $$ ². The circle is oriented, i.e. its boundary has clockwise or counterclockwise orientation . The boundary splits $$ ² into a positive and a negative side, where the positive side is to the left of the boundary. The boundary also splits $$ ² into a bounded and an unbounded side. Note that the circle can be degenerated, i.e. the squared radius may be zero.

Creation

Circle_2<Kernel> c ( Point_2<Kernel> center, Kernel::FT squared_radius, Orientation ori = COUNTERCLOCKWISE);
	introduces a variable c of type Circle_2<Kernel>. It is initialized to the circle with center center, squared radius squared_radius and orientation ori. Precondition:  ori $$ COLLINEAR, and further, squared_radius $$ 0.
Circle_2<Kernel> c ( Point_2<Kernel> p, Point_2<Kernel> q, Point_2<Kernel> r);
	introduces a variable c of type Circle_2<Kernel>. 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.
Circle_2<Kernel> c ( Point_2<Kernel> p, Point_2<Kernel> q, Orientation ori = COUNTERCLOCKWISE);
	introduces a variable c of type Circle_2<Kernel>. It is initialized to the circle with diameter $$pq and orientation ori. Precondition:  ori $$ COLLINEAR.
Circle_2<Kernel> c ( Point_2<Kernel> center, Orientation ori = COUNTERCLOCKWISE);
	introduces a variable c of type Circle_2<Kernel>. It is initialized to the circle with center center, squared radius zero and orientation ori. Precondition:  ori $$ COLLINEAR. Postcondition:  c.is_degenerate() = true.

Access Functions

Predicates

Miscellaneous

See Also

Kernel::Circle_2