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CGAL 4.5.2 - 2D and 3D Linear Geometry Kernel
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Kernel::ConstructCircle_2 Concept Reference
Kernel Function Object Concepts

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

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.
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.
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.
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.