Kernel::ConstructCircle

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Kernel::ConstructCircle_2

A model for this must provide:

Kernel::Circle_2

fo.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 ≠ COLLINEAR, and further, squared_radius ≥ 0.

Kernel::Circle_2

fo.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

fo.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 ≠ COLLINEAR.

Kernel::Circle_2

fo.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 ≠ COLLINEAR.

Postcondition:

.is_degenerate() = true.

Refines

AdaptableFunctor (with three arguments)

Kernel::ConstructCircle_2

Refines

See Also