Namespaces
	Scale_space_reconstruction_3

	Shape_detection_3

	Surface_mesh_parameterization

Classes
class	Algebraic_kernel_for_circles_2_2

class	Circular_arc_2

class	Circular_arc_point_2

class	Circular_kernel_2

class	Exact_circular_kernel_2

class	Line_arc_2

class	Polynomial_1_2

class	Polynomial_for_circles_2_2

class	Root_for_circles_2_2

class	Aff_transformation_2

class	Aff_transformation_3

class	Identity_transformation

class	Reflection

class	Rotation

class	Scaling

class	Translation

class	Bbox_2

class	Bbox_3

class	Cartesian

class	Cartesian_converter

class	Circle_2

class	Circle_3

class	Ambient_dimension

class	Dimension_tag

class	Dynamic_dimension_tag

class	Feature_dimension

class	Direction_2

class	Direction_3

class	Exact_predicates_exact_constructions_kernel

class	Exact_predicates_exact_constructions_kernel_with_kth_root

class	Exact_predicates_exact_constructions_kernel_with_root_of

class	Exact_predicates_exact_constructions_kernel_with_sqrt

class	Exact_predicates_inexact_constructions_kernel

class	Filtered_kernel_adaptor

class	Filtered_kernel

class	Filtered_predicate

class	Homogeneous

class	Homogeneous_converter

class	Iso_cuboid_3

class	Iso_rectangle_2

class	Kernel_traits

class	Line_2

class	Line_3

class	Null_vector

class	Origin

class	Plane_3

class	Point_2

class	Point_3

class	Projection_traits_xy_3

class	Projection_traits_xz_3

class	Projection_traits_yz_3

class	Ray_2

class	Ray_3

class	Segment_2

class	Segment_3

class	Simple_cartesian

class	Simple_homogeneous

class	Sphere_3

class	Tetrahedron_3

class	Triangle_2

class	Triangle_3

class	Vector_2

class	Vector_3

class	Weighted_point_2

class	Weighted_point_3

class	Protect_FPU_rounding

class	Set_ieee_double_precision

class	Gmpfi

class	Gmpfr

class	Gmpq

class	Gmpz

class	Gmpzf

class	Interval_nt

class	Lazy_exact_nt

class	MP_Float

class	Mpzf

class	NT_converter

class	Number_type_checker

class	Quotient

class	Rational_traits

class	Root_of_traits

class	Sqrt_extension

class	Is_valid

class	Max

class	Min

class	Algebraic_kernel_for_spheres_2_3

class	Circular_arc_3

class	Circular_arc_point_3

class	Exact_spherical_kernel_3
	A typedef to a spherical kernel that provides both exact geometric predicates and exact geometric constructions. More...

class	Line_arc_3

class	Polynomial_1_3

class	Polynomial_for_spheres_2_3

class	Polynomials_for_lines_3

class	Root_for_spheres_2_3

class	Spherical_kernel_3

Enumerations
enum	Circle_type { NORMAL, THREADED, POLAR, BIPOLAR }
	The enum `Circle_type` is used to classify an object of type `Circle_3`, so as to specify its type (normal,polar,bipolar or threaded), as defined in Section Spherical Kernel Objects. More...

Functions
template<class SphericalKernel >
CGAL::Circle_type	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...

template<class SphericalKernel >
Comparison_result	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...

template<class SphericalKernel >
Comparison_result	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...

template<class SphericalKernel >
Comparison_result	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...

template<class SphericalKernel >
bool	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...

template<class SphericalKernel >
bool	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...

template<class SphericalKernel >
CGAL::Circular_arc_point_3 < SphericalKernel >	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...

template<class SphericalKernel , class OutputIterator >
OutputIterator	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...

template<class SphericalKernel >
CGAL::Circular_arc_point_3 < SphericalKernel >	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`).

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

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

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

template<class SphericalKernel >
CGAL::Circular_arc_point_3 < SphericalKernel >	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`).

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

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

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

template<class SphericalKernel >
CGAL::Circular_arc_point_3 < SphericalKernel >	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`).

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

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

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

Namespaces

Classes

Enumerations

Functions