Functions
CGAL::Circle_type	CGAL::classify (const CGAL::Circle_3< SphericalKernel > &c, const CGAL::Sphere_3< SphericalKernel > &sphere)
	Classify a circle according to `sphere`, as defined in Section Spherical Kernel Objects. More...

Comparison_result	CGAL::compare_theta (const CGAL::Circular_arc_point_3< SphericalKernel > &p, const CGAL::Circular_arc_point_3< SphericalKernel > &q, const CGAL::Sphere_3< SphericalKernel > &sphere)
	Compares the \( \theta\)-coordinates of `p` and `q` relatively to `sphere`. More...

Comparison_result	CGAL::compare_theta (const CGAL::Circular_arc_point_3< SphericalKernel > &p, const CGAL::Vector_3< SphericalKernel > &m, const CGAL::Sphere_3< SphericalKernel > &sphere)
	Compares the \( \theta\)-coordinates of `p` and of the meridian defined by `m` (see Section Spherical Kernel Objects) in the cylindrical coordinate system relative to `sphere`. More...

Comparison_result	CGAL::compare_theta (const CGAL::Vector_3< SphericalKernel > &m, const CGAL::Circular_arc_point_3< SphericalKernel > &p, const CGAL::Sphere_3< SphericalKernel > &sphere)
	Compares the \( \theta\)-coordinates of the meridian defined by `m` and of `p` (see Section Spherical Kernel Objects) in the cylindrical coordinate system relative to `sphere`. More...

bool	CGAL::compare_theta_z (const CGAL::Circular_arc_point_3< SphericalKernel > &p, const CGAL::Circular_arc_point_3< SphericalKernel > &q, const CGAL::Sphere_3< SphericalKernel > &sphere)
	Compares `p` and `q` according to the lexicographic ordering on \( \theta\) and \( z\)-coordinates in the cylindrical coordinate system relative to `sphere`. More...

bool	CGAL::is_theta_monotone (const CGAL::Circular_arc_3< SphericalKernel > &a, const CGAL::Sphere_3< SphericalKernel > &sphere)
	Tests whether the arc `a` is \( \theta\)-monotone, i.e. the intersection of any meridian anchored at the poles `sphere` and the arc `a` is reduced to at most one point in general, and two points if a pole of `sphere` is an endpoint of the arc. More...

CGAL::Circular_arc_point_3 < SphericalKernel >	CGAL::theta_extremal_point (const CGAL::Circle_3< SphericalKernel > &c, const CGAL::Sphere_3< SphericalKernel > sphere, bool b)
	Returns the point on the circle that is extremal in \( \theta\) using the cylindrical coordinate system relative to `sphere`, and that has the smallest (resp. largest) \( \theta\)-coordinate of the two points if `b` is `true` (resp. `false`). More...

OutputIterator	CGAL::theta_extremal_points (const CGAL::Circle_3< SphericalKernel > &c, const CGAL::Sphere_3< SphericalKernel > &sphere, OutputIterator res)
	Copies in the output iterator the \( \theta\)-extremal points of the circle relatively to `sphere`. More...

CGAL::Circular_arc_point_3 < SphericalKernel >	CGAL::x_extremal_point (const CGAL::Sphere_3< SphericalKernel > &c, bool b)
	Returns the point on the sphere that is extremal in the \( x\)-direction, and that is the smallest (resp. largest) of the two \( x\)-extremal points for the lexicographic order if `b` is `true` (resp. `false`).

CGAL::Circular_arc_point_3 < SphericalKernel >	CGAL::x_extremal_point (const CGAL::Circle_3< SphericalKernel > &c, bool b)
	Same for a circle. More...

OutputIterator	CGAL::x_extremal_points (const CGAL::Sphere_3< SphericalKernel > &c, OutputIterator res)
	Copies in the output iterator the \( x\)-extremal points of the sphere. More...

OutputIterator	CGAL::x_extremal_points (const CGAL::Circle_3< SphericalKernel > &c, OutputIterator res)
	Copies in the output iterator the \( x\)-extremal points of the circle. More...

CGAL::Circular_arc_point_3 < SphericalKernel >	CGAL::y_extremal_point (const CGAL::Sphere_3< SphericalKernel > &c, bool b)
	Returns the point on the sphere that is extremal in the \( y\)-direction, and that is the smallest (resp. largest) of the two \( y\)-extremal points for the lexicographic order if `b` is `true` (resp. `false`).

CGAL::Circular_arc_point_3 < SphericalKernel >	CGAL::y_extremal_point (const CGAL::Circle_3< SphericalKernel > &c, bool b)
	Same for a circle. More...

OutputIterator	CGAL::y_extremal_points (const CGAL::Sphere_3< SphericalKernel > &c, OutputIterator res)
	Copies in the output iterator the \( y\)-extremal points of the sphere. More...

OutputIterator	CGAL::y_extremal_points (const CGAL::Circle_3< SphericalKernel > &c, OutputIterator res)
	Copies in the output iterator the \( y\)-extremal points of the circle. More...

CGAL::Circular_arc_point_3 < SphericalKernel >	CGAL::z_extremal_point (const CGAL::Sphere_3< SphericalKernel > &c, bool b)
	Returns the point on the sphere that is extremal in the \( z\)-direction, and that is the smallest (resp. largest) of the two \( z\)-extremal points for the lexicographic order if `b` is `true` (resp. `false`).

CGAL::Circular_arc_point_3 < SphericalKernel >	CGAL::z_extremal_point (const CGAL::Circle_3< SphericalKernel > &c, bool b)
	Same for a circle. More...

OutputIterator	CGAL::z_extremal_points (const CGAL::Sphere_3< SphericalKernel > &c, OutputIterator res)
	Copies in the output iterator the \( z\)-extremal points of the sphere. More...

OutputIterator	CGAL::z_extremal_points (const CGAL::Circle_3< SphericalKernel > &c, OutputIterator res)
	Copies in the output iterator the \( z\)-extremal points of the circle. More...

Functions