CGAL Namespace Reference

Classes
class	Aff_transformation_3
struct	Algebraic_kernel_for_circles_2_2
struct	Ambient_dimension
class	Arr_accessor
class	Arr_algebraic_segment_traits_2
class	Arr_Bezier_curve_traits_2
class	Arr_circle_segment_traits_2
class	Arr_circular_arc_traits_2
class	Arr_circular_line_arc_traits_2
class	Arr_conic_traits_2
class	Arr_consolidated_curve_data_traits_2
class	Arr_curve_data_traits_2
class	Arr_dcel_base
class	Arr_default_dcel
class	Arr_default_overlay_traits
class	Arr_extended_dcel
class	Arr_extended_dcel_text_formatter
class	Arr_extended_face
class	Arr_extended_halfedge
class	Arr_extended_vertex
class	Arr_face_extended_dcel
class	Arr_face_extended_text_formatter
class	Arr_face_index_map
class	Arr_face_overlay_traits
class	Arr_landmarks_point_location
class	Arr_line_arc_traits_2
class	Arr_linear_traits_2
class	Arr_naive_point_location
class	Arr_non_caching_segment_basic_traits_2
class	Arr_non_caching_segment_traits_2
struct	Arr_oblivious_side_tag
class	Arr_observer
struct	Arr_open_side_tag
struct	Arr_point_location_result
class	Arr_polycurve_traits_2
class	Arr_polyline_traits_2
class	Arr_rational_function_traits_2
class	Arr_segment_traits_2
class	Arr_text_formatter
class	Arr_trapezoid_ric_point_location
class	Arr_vertex_index_map
class	Arr_walk_along_line_point_location
class	Arr_with_history_text_formatter
class	Arrangement_2
class	Arrangement_with_history_2
class	Bbox_2
class	Bbox_3
struct	Cartesian
class	Cartesian_converter
class	Circle_2
class	Circle_3
class	Circular_arc_2
class	Circular_arc_point_2
struct	Circular_kernel_2
struct	Dimension_tag
class	Direction_2
class	Direction_3
struct	Dynamic_dimension_tag
class	Exact_circular_kernel_2
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
struct	Feature_dimension
struct	Filtered_kernel
struct	Filtered_kernel_adaptor
class	Filtered_predicate
class	Gmpfi
class	Gmpfr
class	Gmpq
class	Gmpz
class	Gmpzf
struct	Homogeneous
class	Homogeneous_converter
class	Identity_transformation
class	Interval_nt
class	Is_valid
class	Iso_cuboid_3
class	Iso_rectangle_2
struct	Kernel_traits
class	Lazy_exact_nt
class	Line_2
class	Line_3
class	Line_arc_2
struct	Max
struct	Min
class	MP_Float
struct	Mpzf
struct	NT_converter
class	Null_vector
class	Number_type_checker
class	Origin
class	Plane_3
class	Point_2
class	Point_3
class	Polynomial_1_2
class	Polynomial_for_circles_2_2
class	Projection_traits_xy_3
class	Projection_traits_xz_3
class	Projection_traits_yz_3
struct	Protect_FPU_rounding
class	Quotient
class	Rational_traits
class	Ray_2
class	Ray_3
class	Reflection
class	Root_for_circles_2_2
struct	Root_of_traits
class	Rotation
class	Scaling
class	Segment_2
class	Segment_3
class	Set_ieee_double_precision
struct	Simple_cartesian
struct	Simple_homogeneous
class	Sphere_3
class	Sqrt_extension
class	Tetrahedron_3
class	Translation
class	Triangle_2
class	Triangle_3
class	Vector_2
class	Vector_3
class	Weighted_point_2
class	Weighted_point_3

Typedefs
typedef Sign	Orientation
typedef Interval_nt< false >	Interval_nt_advanced
typedef unspecified_type	Exact_integer
typedef unspecified_type	Exact_rational
typedef Box_parameter_space_2	Arr_parameter_space

Enumerations
enum	Angle
enum	Bounded_side
enum	Comparison_result
enum	Sign
enum	Oriented_side
enum	Box_parameter_space_2
enum	Arr_curve_end
enum	Arr_halfedge_direction

Functions
T	enum_cast (const U &u)
Oriented_side	opposite (const Oriented_side &o)
Bounded_side	opposite (const Bounded_side &o)
bool	do_intersect (Type1< Kernel > obj1, Type2< Kernel > obj2)
cpp11::result_of< Kernel::Intersect_23(Type1, Type2)>::type	intersection (Type1< Kernel > obj1, Type2< Kernel > obj2)
boost::optional< boost::variant< Point_3, Line_3, Plane_3 > >	intersection (const Plane_3< Kernel > &pl1, const Plane_3< Kernel > &pl2, const Plane_3< Kernel > &pl3)
Angle	angle (const CGAL::Vector_2< Kernel > &u, const CGAL::Vector_2< Kernel > &v)
Angle	angle (const CGAL::Point_2< Kernel > &p, const CGAL::Point_2< Kernel > &q, const CGAL::Point_2< Kernel > &r)
Angle	angle (const CGAL::Point_2< Kernel > &p, const CGAL::Point_2< Kernel > &q, const CGAL::Point_2< Kernel > &r, const CGAL::Point_2< Kernel > &s)
Angle	angle (const CGAL::Vector_3< Kernel > &u, const CGAL::Vector_3< Kernel > &v)
Angle	angle (const CGAL::Point_3< Kernel > &p, const CGAL::Point_3< Kernel > &q, const CGAL::Point_3< Kernel > &r)
Angle	angle (const CGAL::Point_3< Kernel > &p, const CGAL::Point_3< Kernel > &q, const CGAL::Point_3< Kernel > &r, const CGAL::Point_3< Kernel > &s)
Angle	angle (const CGAL::Point_3< Kernel > &p, const CGAL::Point_3< Kernel > &q, const CGAL::Point_3< Kernel > &r, const CGAL::Vector_3< Kernel > &v)
Kernel::FT	approximate_angle (const CGAL::Point_3< Kernel > &p, const CGAL::Point_3< Kernel > &q, const CGAL::Point_3< Kernel > &r)
Kernel::FT	approximate_angle (const CGAL::Vector_3< Kernel > &u, const CGAL::Vector_3< Kernel > &v)
Kernel::FT	approximate_dihedral_angle (const CGAL::Point_3< Kernel > &p, const CGAL::Point_3< Kernel > &q, const CGAL::Point_3< Kernel > &r, const CGAL::Point_3< Kernel > &s)
Kernel::FT	area (const CGAL::Point_2< Kernel > &p, const CGAL::Point_2< Kernel > &q, const CGAL::Point_2< Kernel > &r)
bool	are_ordered_along_line (const CGAL::Point_2< Kernel > &p, const CGAL::Point_2< Kernel > &q, const CGAL::Point_2< Kernel > &r)
bool	are_ordered_along_line (const CGAL::Point_3< Kernel > &p, const CGAL::Point_3< Kernel > &q, const CGAL::Point_3< Kernel > &r)
bool	are_strictly_ordered_along_line (const CGAL::Point_2< Kernel > &p, const CGAL::Point_2< Kernel > &q, const CGAL::Point_2< Kernel > &r)
bool	are_strictly_ordered_along_line (const CGAL::Point_3< Kernel > &p, const CGAL::Point_3< Kernel > &q, const CGAL::Point_3< Kernel > &r)
CGAL::Point_2< Kernel >	barycenter (const CGAL::Point_2< Kernel > &p1, const Kernel::FT &w1, const CGAL::Point_2< Kernel > &p2)
CGAL::Point_2< Kernel >	barycenter (const CGAL::Point_2< Kernel > &p1, const Kernel::FT &w1, const CGAL::Point_2< Kernel > &p2, const Kernel::FT &w2)
CGAL::Point_2< Kernel >	barycenter (const CGAL::Point_2< Kernel > &p1, const Kernel::FT &w1, const CGAL::Point_2< Kernel > &p2, const Kernel::FT &w2, const CGAL::Point_2< Kernel > &p3)
CGAL::Point_2< Kernel >	barycenter (const CGAL::Point_2< Kernel > &p1, const Kernel::FT &w1, const CGAL::Point_2< Kernel > &p2, const Kernel::FT &w2, const CGAL::Point_2< Kernel > &p3, const Kernel::FT &w3)
CGAL::Point_2< Kernel >	barycenter (const CGAL::Point_2< Kernel > &p1, const Kernel::FT &w1, const CGAL::Point_2< Kernel > &p2, const Kernel::FT &w2, const CGAL::Point_2< Kernel > &p3, const Kernel::FT &w3, const CGAL::Point_2< Kernel > &p4)
CGAL::Point_2< Kernel >	barycenter (const CGAL::Point_2< Kernel > &p1, const Kernel::FT &w1, const CGAL::Point_2< Kernel > &p2, const Kernel::FT &w2, const CGAL::Point_2< Kernel > &p3, const Kernel::FT &w3, const CGAL::Point_2< Kernel > &p4, const Kernel::FT &w4)
CGAL::Point_3< Kernel >	barycenter (const CGAL::Point_3< Kernel > &p1, const Kernel::FT &w1, const CGAL::Point_3< Kernel > &p2)
CGAL::Point_3< Kernel >	barycenter (const CGAL::Point_3< Kernel > &p1, const Kernel::FT &w1, const CGAL::Point_3< Kernel > &p2, const Kernel::FT &w2)
CGAL::Point_3< Kernel >	barycenter (const CGAL::Point_3< Kernel > &p1, const Kernel::FT &w1, const CGAL::Point_3< Kernel > &p2, const Kernel::FT &w2, const CGAL::Point_3< Kernel > &p3)
CGAL::Point_3< Kernel >	barycenter (const CGAL::Point_3< Kernel > &p1, const Kernel::FT &w1, const CGAL::Point_3< Kernel > &p2, const Kernel::FT &w2, const CGAL::Point_3< Kernel > &p3, const Kernel::FT &w3)
CGAL::Point_3< Kernel >	barycenter (const CGAL::Point_3< Kernel > &p1, const Kernel::FT &w1, const CGAL::Point_3< Kernel > &p2, const Kernel::FT &w2, const CGAL::Point_3< Kernel > &p3, const Kernel::FT &w3, const CGAL::Point_3< Kernel > &p4)
CGAL::Point_3< Kernel >	barycenter (const CGAL::Point_3< Kernel > &p1, const Kernel::FT &w1, const CGAL::Point_3< Kernel > &p2, const Kernel::FT &w2, const CGAL::Point_3< Kernel > &p3, const Kernel::FT &w3, const CGAL::Point_3< Kernel > &p4, const Kernel::FT &w4)
CGAL::Line_2< Kernel >	bisector (const CGAL::Point_2< Kernel > &p, const CGAL::Point_2< Kernel > &q)
CGAL::Line_2< Kernel >	bisector (const CGAL::Line_2< Kernel > &l1, const CGAL::Line_2< Kernel > &l2)
CGAL::Plane_3< Kernel >	bisector (const CGAL::Point_3< Kernel > &p, const CGAL::Point_3< Kernel > &q)
CGAL::Plane_3< Kernel >	bisector (const CGAL::Plane_3< Kernel > &h1, const CGAL::Plane_3< Kernel > &h2)
CGAL::Point_2< Kernel >	centroid (const CGAL::Point_2< Kernel > &p, const CGAL::Point_2< Kernel > &q, const CGAL::Point_2< Kernel > &r)
CGAL::Point_2< Kernel >	centroid (const CGAL::Point_2< Kernel > &p, const CGAL::Point_2< Kernel > &q, const CGAL::Point_2< Kernel > &r, const CGAL::Point_2< Kernel > &s)
CGAL::Point_2< Kernel >	centroid (const CGAL::Triangle_2< Kernel > &t)
CGAL::Point_3< Kernel >	centroid (const CGAL::Point_3< Kernel > &p, const CGAL::Point_3< Kernel > &q, const CGAL::Point_3< Kernel > &r)
CGAL::Point_3< Kernel >	centroid (const CGAL::Point_3< Kernel > &p, const CGAL::Point_3< Kernel > &q, const CGAL::Point_3< Kernel > &r, const CGAL::Point_3< Kernel > &s)
CGAL::Point_3< Kernel >	centroid (const CGAL::Triangle_3< Kernel > &t)
CGAL::Point_3< Kernel >	centroid (const CGAL::Tetrahedron_3< Kernel > &t)
CGAL::Point_2< Kernel >	circumcenter (const CGAL::Point_2< Kernel > &p, const CGAL::Point_2< Kernel > &q)
CGAL::Point_2< Kernel >	circumcenter (const CGAL::Point_2< Kernel > &p, const CGAL::Point_2< Kernel > &q, const CGAL::Point_2< Kernel > &r)
CGAL::Point_2< Kernel >	circumcenter (const CGAL::Triangle_2< Kernel > &t)
CGAL::Point_3< Kernel >	circumcenter (const CGAL::Point_3< Kernel > &p, const CGAL::Point_3< Kernel > &q)
CGAL::Point_3< Kernel >	circumcenter (const CGAL::Point_3< Kernel > &p, const CGAL::Point_3< Kernel > &q, const CGAL::Point_3< Kernel > &r)
CGAL::Point_3< Kernel >	circumcenter (const CGAL::Triangle_3< Kernel > &t)
CGAL::Point_3< Kernel >	circumcenter (const CGAL::Point_3< Kernel > &p, const CGAL::Point_3< Kernel > &q, const CGAL::Point_3< Kernel > &r, const CGAL::Point_3< Kernel > &s)
CGAL::Point_3< Kernel >	circumcenter (const CGAL::Tetrahedron_3< Kernel > &t)
bool	collinear_are_ordered_along_line (const CGAL::Point_2< Kernel > &p, const CGAL::Point_2< Kernel > &q, const CGAL::Point_2< Kernel > &r)
bool	collinear_are_ordered_along_line (const CGAL::Point_3< Kernel > &p, const CGAL::Point_3< Kernel > &q, const CGAL::Point_3< Kernel > &r)
bool	collinear_are_strictly_ordered_along_line (const CGAL::Point_2< Kernel > &p, const CGAL::Point_2< Kernel > &q, const CGAL::Point_2< Kernel > &r)
bool	collinear_are_strictly_ordered_along_line (const CGAL::Point_3< Kernel > &p, const CGAL::Point_3< Kernel > &q, const CGAL::Point_3< Kernel > &r)
bool	collinear (const CGAL::Point_2< Kernel > &p, const CGAL::Point_2< Kernel > &q, const CGAL::Point_2< Kernel > &r)
bool	collinear (const CGAL::Point_3< Kernel > &p, const CGAL::Point_3< Kernel > &q, const CGAL::Point_3< Kernel > &r)
Comparison_result	compare_dihedral_angle (const CGAL::Point_3< Kernel > &a1, const CGAL::Point_3< Kernel > &b1, const CGAL::Point_3< Kernel > &c1, const CGAL::Point_3< Kernel > &d1, const Kernel::FT &cosine)
Comparison_result	compare_dihedral_angle (const CGAL::Point_3< Kernel > &a1, const CGAL::Point_3< Kernel > &b1, const CGAL::Point_3< Kernel > &c1, const CGAL::Point_3< Kernel > &d1, const CGAL::Point_3< Kernel > &a2, const CGAL::Point_3< Kernel > &b2, const CGAL::Point_3< Kernel > &c2, const CGAL::Point_3< Kernel > &d2)
Comparison_result	compare_dihedral_angle (const CGAL::Vector_3< Kernel > &u1, const CGAL::Vector_3< Kernel > &v1, const CGAL::Vector_3< Kernel > &w1, const Kernel::FT &cosine)
Comparison_result	compare_dihedral_angle (const CGAL::Vector_3< Kernel > &u1, const CGAL::Vector_3< Kernel > &v1, const CGAL::Vector_3< Kernel > &w1, const CGAL::Vector_3< Kernel > &u2, const CGAL::Vector_3< Kernel > &v2, const CGAL::Vector_3< Kernel > &w2)
Comparison_result	compare_distance_to_point (const CGAL::Point_2< Kernel > &p, const CGAL::Point_2< Kernel > &q, const CGAL::Point_2< Kernel > &r)
Comparison_result	compare_distance_to_point (const CGAL::Point_3< Kernel > &p, const CGAL::Point_3< Kernel > &q, const CGAL::Point_3< Kernel > &r)
Comparison_result	compare_lexicographically (const CGAL::Point_2< Kernel > &p, const CGAL::Point_2< Kernel > &q)
Comparison_result	compare_lexicographically (const CGAL::Point_3< Kernel > &p, const CGAL::Point_3< Kernel > &q)
Comparison_result	compare_signed_distance_to_line (const CGAL::Line_2< Kernel > &l, const CGAL::Point_2< Kernel > &p, const CGAL::Point_2< Kernel > &q)
Comparison_result	compare_signed_distance_to_line (const CGAL::Point_2< Kernel > &p, const CGAL::Point_2< Kernel > &q, const CGAL::Point_2< Kernel > &r, const CGAL::Point_2< Kernel > &s)
Comparison_result	compare_signed_distance_to_plane (const CGAL::Plane_3< Kernel > &h, const CGAL::Point_3< Kernel > &p, const CGAL::Point_3< Kernel > &q)
Comparison_result	compare_signed_distance_to_plane (const CGAL::Point_3< Kernel > &p, const CGAL::Point_3< Kernel > &q, const CGAL::Point_3< Kernel > &r, const CGAL::Point_3< Kernel > &s, const CGAL::Point_3< Kernel > &t)
Comparison_result	compare_slope (const CGAL::Line_2< Kernel > &l1, const CGAL::Line_2< Kernel > &l2)
Comparison_result	compare_slope (const CGAL::Segment_2< Kernel > &s1, const CGAL::Segment_2< Kernel > &s2)
Comparison_result	compare_slope (const CGAL::Point_3< Kernel > &p, const CGAL::Point_3< Kernel > &q, const CGAL::Point_3< Kernel > &r, const CGAL::Point_3< Kernel > &s)
Comparison_result	compare_squared_distance (const CGAL::Point_2< Kernel > &p, const CGAL::Point_2< Kernel > &q, const typename Kernel::FT &d2)
Comparison_result	compare_squared_distance (const CGAL::Point_3< Kernel > &p, const CGAL::Point_3< Kernel > &q, const typename Kernel::FT &d2)
Comparison_result	compare_squared_radius (const CGAL::Point_3< Kernel > &p, const typename Kernel::FT &sr)
Comparison_result	compare_squared_radius (const CGAL::Point_3< Kernel > &p, const CGAL::Point_3< Kernel > &q, const typename Kernel::FT &sr)
Comparison_result	compare_squared_radius (const CGAL::Point_3< Kernel > &p, const CGAL::Point_3< Kernel > &q, const CGAL::Point_3< Kernel > &r, const typename Kernel::FT &sr)
Comparison_result	compare_squared_radius (const CGAL::Point_3< Kernel > &p, const CGAL::Point_3< Kernel > &q, const CGAL::Point_3< Kernel > &r, const CGAL::Point_3< Kernel > &s, const typename Kernel::FT &sr)
Comparison_result	compare_x (const CGAL::Point_2< Kernel > &p, const CGAL::Point_2< Kernel > &q)
Comparison_result	compare_x (const CGAL::Point_3< Kernel > &p, const CGAL::Point_3< Kernel > &q)
Comparison_result	compare_x (const CGAL::Point_2< Kernel > &p, const CGAL::Line_2< Kernel > &l1, const CGAL::Line_2< Kernel > &l2)
Comparison_result	compare_x (const CGAL::Line_2< Kernel > &l, const CGAL::Line_2< Kernel > &h1, const CGAL::Line_2< Kernel > &h2)
Comparison_result	compare_x (const CGAL::Line_2< Kernel > &l1, const CGAL::Line_2< Kernel > &l2, const CGAL::Line_2< Kernel > &h1, const CGAL::Line_2< Kernel > &h2)
Comparison_result	compare_x (const CGAL::Circular_arc_point_2< CircularKernel > &p, const CGAL::Circular_arc_point_2< CircularKernel > &q)
Comparison_result	compare_x (const CGAL::Circular_arc_point_2< CircularKernel > &p, const CGAL::Point_2< CircularKernel > &q)
Comparison_result	compare_x (const CGAL::Circular_arc_point_3< SphericalKernel > &p, const CGAL::Circular_arc_point_3< SphericalKernel > &q)
Comparison_result	compare_x (const CGAL::Circular_arc_point_3< SphericalKernel > &p, const CGAL::Point_3< SphericalKernel > &q)
Comparison_result	compare_xy (const CGAL::Point_2< Kernel > &p, const CGAL::Point_2< Kernel > &q)
Comparison_result	compare_xy (const CGAL::Point_3< Kernel > &p, const CGAL::Point_3< Kernel > &q)
Comparison_result	compare_xy (const CGAL::Circular_arc_point_2< CircularKernel > &p, const CGAL::Circular_arc_point_2< CircularKernel > &q)
Comparison_result	compare_xy (const CGAL::Circular_arc_point_2< CircularKernel > &p, const CGAL::Point_2< CircularKernel > &q)
Comparison_result	compare_xy (const CGAL::Circular_arc_point_3< SphericalKernel > &p, const CGAL::Circular_arc_point_3< SphericalKernel > &q)
Comparison_result	compare_xy (const CGAL::Circular_arc_point_3< SphericalKernel > &p, const CGAL::Point_3< SphericalKernel > &q)
Comparison_result	compare_x_at_y (const CGAL::Point_2< Kernel > &p, const CGAL::Line_2< Kernel > &h)
Comparison_result	compare_x_at_y (const CGAL::Point_2< Kernel > &p, const CGAL::Line_2< Kernel > &h1, const CGAL::Line_2< Kernel > &h2)
Comparison_result	compare_x_at_y (const CGAL::Line_2< Kernel > &l1, const CGAL::Line_2< Kernel > &l2, const CGAL::Line_2< Kernel > &h)
Comparison_result	compare_x_at_y (const CGAL::Line_2< Kernel > &l1, const CGAL::Line_2< Kernel > &l2, const CGAL::Line_2< Kernel > &h1, const CGAL::Line_2< Kernel > &h2)
Comparison_result	compare_y_at_x (const CGAL::Point_2< Kernel > &p, const CGAL::Line_2< Kernel > &h)
Comparison_result	compare_y_at_x (const CGAL::Point_2< Kernel > &p, const CGAL::Line_2< Kernel > &h1, const CGAL::Line_2< Kernel > &h2)
Comparison_result	compare_y_at_x (const CGAL::Line_2< Kernel > &l1, const CGAL::Line_2< Kernel > &l2, const CGAL::Line_2< Kernel > &h)
Comparison_result	compare_y_at_x (const CGAL::Line_2< Kernel > &l1, const CGAL::Line_2< Kernel > &l2, const CGAL::Line_2< Kernel > &h1, const CGAL::Line_2< Kernel > &h2)
Comparison_result	compare_y_at_x (const CGAL::Point_2< Kernel > &p, const CGAL::Segment_2< Kernel > &s)
Comparison_result	compare_y_at_x (const CGAL::Point_2< Kernel > &p, const CGAL::Segment_2< Kernel > &s1, const CGAL::Segment_2< Kernel > &s2)
Comparison_result	compare_y (const CGAL::Point_2< Kernel > &p, const CGAL::Point_2< Kernel > &q)
Comparison_result	compare_y (const CGAL::Point_3< Kernel > &p, const CGAL::Point_3< Kernel > &q)
Comparison_result	compare_y (const CGAL::Point_2< Kernel > &p, const CGAL::Line_2< Kernel > &l1, const CGAL::Line_2< Kernel > &l2)
Comparison_result	compare_y (const CGAL::Line_2< Kernel > &l, const CGAL::Line_2< Kernel > &h1, const CGAL::Line_2< Kernel > &h2)
Comparison_result	compare_y (const CGAL::Line_2< Kernel > &l1, const CGAL::Line_2< Kernel > &l2, const CGAL::Line_2< Kernel > &h1, const CGAL::Line_2< Kernel > &h2)
Comparison_result	compare_y (const CGAL::Circular_arc_point_2< CircularKernel > &p, const CGAL::Circular_arc_point_2< CircularKernel > &q)
Comparison_result	compare_y (const CGAL::Circular_arc_point_2< CircularKernel > &p, const CGAL::Point_2< CircularKernel > &q)
Comparison_result	compare_y (const CGAL::Circular_arc_point_3< SphericalKernel > &p, const CGAL::Circular_arc_point_3< SphericalKernel > &q)
Comparison_result	compare_y (const CGAL::Circular_arc_point_3< SphericalKernel > &p, const CGAL::Point_3< SphericalKernel > &q)
Comparison_result	compare_xyz (const CGAL::Point_3< Kernel > &p, const CGAL::Point_3< Kernel > &q)
Comparison_result	compare_xyz (const CGAL::Circular_arc_point_3< SphericalKernel > &p, const CGAL::Circular_arc_point_3< SphericalKernel > &q)
Comparison_result	compare_xyz (const CGAL::Circular_arc_point_3< SphericalKernel > &p, const CGAL::Point_3< SphericalKernel > &q)
Comparison_result	compare_z (const CGAL::Point_3< Kernel > &p, const CGAL::Point_3< Kernel > &q)
Comparison_result	compare_z (const CGAL::Circular_arc_point_3< SphericalKernel > &p, const CGAL::Circular_arc_point_3< SphericalKernel > &q)
Comparison_result	compare_z (const CGAL::Circular_arc_point_3< SphericalKernel > &p, const CGAL::Point_3< SphericalKernel > &q)
Comparison_result	compare_yx (const CGAL::Point_2< Kernel > &p, const CGAL::Point_2< Kernel > &q)
bool	coplanar (const CGAL::Point_3< Kernel > &p, const CGAL::Point_3< Kernel > &q, const CGAL::Point_3< Kernel > &r, const CGAL::Point_3< Kernel > &s)
Orientation	coplanar_orientation (const CGAL::Point_3< Kernel > &p, const CGAL::Point_3< Kernel > &q, const CGAL::Point_3< Kernel > &r, const CGAL::Point_3< Kernel > &s)
Orientation	coplanar_orientation (const CGAL::Point_3< Kernel > &p, const CGAL::Point_3< Kernel > &q, const CGAL::Point_3< Kernel > &r)
Bounded_side	coplanar_side_of_bounded_circle (const CGAL::Point_3< Kernel > &p, const CGAL::Point_3< Kernel > &q, const CGAL::Point_3< Kernel > &r, const CGAL::Point_3< Kernel > &s)
CGAL::Vector_3< Kernel >	cross_product (const CGAL::Vector_3< Kernel > &u, const CGAL::Vector_3< Kernel > &v)
Kernel::FT	determinant (const CGAL::Vector_2< Kernel > &v, const CGAL::Vector_2< Kernel > &w)
Kernel::FT	determinant (const CGAL::Vector_3< Kernel > &u, const CGAL::Vector_3< Kernel > &v, const CGAL::Vector_3< Kernel > &w)
CGAL::Line_3< Kernel >	equidistant_line (const CGAL::Point_3< Kernel > &p, const CGAL::Point_3< Kernel > &q, const CGAL::Point_3< Kernel > &r)
bool	has_larger_distance_to_point (const CGAL::Point_2< Kernel > &p, const CGAL::Point_2< Kernel > &q, const CGAL::Point_2< Kernel > &r)
bool	has_larger_distance_to_point (const CGAL::Point_3< Kernel > &p, const CGAL::Point_3< Kernel > &q, const CGAL::Point_3< Kernel > &r)
bool	has_larger_signed_distance_to_line (const CGAL::Line_2< Kernel > &l, const CGAL::Point_2< Kernel > &p, const CGAL::Point_2< Kernel > &q)
bool	has_larger_signed_distance_to_line (const CGAL::Point_2< Kernel > &p, const CGAL::Point_2< Kernel > &q, const CGAL::Point_2< Kernel > &r, const CGAL::Point_2< Kernel > &s)
bool	has_larger_signed_distance_to_plane (const CGAL::Plane_3< Kernel > &h, const CGAL::Point_3< Kernel > &p, const CGAL::Point_3< Kernel > &q)
bool	has_larger_signed_distance_to_plane (const CGAL::Point_3< Kernel > &p, const CGAL::Point_3< Kernel > &q, const CGAL::Point_3< Kernel > &r, const CGAL::Point_3< Kernel > &s, const CGAL::Point_3< Kernel > &t)
bool	has_smaller_distance_to_point (const CGAL::Point_2< Kernel > &p, const CGAL::Point_2< Kernel > &q, const CGAL::Point_2< Kernel > &r)
bool	has_smaller_distance_to_point (const CGAL::Point_3< Kernel > &p, const CGAL::Point_3< Kernel > &q, const CGAL::Point_3< Kernel > &r)
bool	has_smaller_signed_distance_to_line (const CGAL::Line_2< Kernel > &l, const CGAL::Point_2< Kernel > &p, const CGAL::Point_2< Kernel > &q)
bool	has_smaller_signed_distance_to_line (const CGAL::Point_2< Kernel > &p, const CGAL::Point_2< Kernel > &q, const CGAL::Point_2< Kernel > &r, const CGAL::Point_2< Kernel > &s)
bool	has_smaller_signed_distance_to_plane (const CGAL::Plane_3< Kernel > &h, const CGAL::Point_3< Kernel > &p, const CGAL::Point_3< Kernel > &q)
bool	has_smaller_signed_distance_to_plane (const CGAL::Point_3< Kernel > &p, const CGAL::Point_3< Kernel > &q, const CGAL::Point_3< Kernel > &r, const CGAL::Point_3< Kernel > &s, const CGAL::Point_3< Kernel > &t)
Kernel::FT	l_infinity_distance (const CGAL::Point_2< Kernel > &p, const CGAL::Point_2< Kernel > &q)
Kernel::FT	l_infinity_distance (const CGAL::Point_3< Kernel > &p, const CGAL::Point_3< Kernel > &q)
bool	left_turn (const CGAL::Point_2< Kernel > &p, const CGAL::Point_2< Kernel > &q, const CGAL::Point_2< Kernel > &r)
bool	lexicographically_xy_larger (const CGAL::Point_2< Kernel > &p, const CGAL::Point_2< Kernel > &q)
bool	lexicographically_xy_larger_or_equal (const CGAL::Point_2< Kernel > &p, const CGAL::Point_2< Kernel > &q)
bool	lexicographically_xy_smaller (const CGAL::Point_2< Kernel > &p, const CGAL::Point_2< Kernel > &q)
bool	lexicographically_xy_smaller_or_equal (const CGAL::Point_2< Kernel > &p, const CGAL::Point_2< Kernel > &q)
bool	lexicographically_xyz_smaller (const CGAL::Point_3< Kernel > &p, const CGAL::Point_3< Kernel > &q)
bool	lexicographically_xyz_smaller_or_equal (const CGAL::Point_3< Kernel > &p, const CGAL::Point_3< Kernel > &q)
CGAL::Point_2< Kernel >	max_vertex (const CGAL::Iso_rectangle_2< Kernel > &ir)
CGAL::Point_3< Kernel >	max_vertex (const CGAL::Iso_cuboid_3< Kernel > &ic)
CGAL::Point_2< Kernel >	midpoint (const CGAL::Point_2< Kernel > &p, const CGAL::Point_2< Kernel > &q)
CGAL::Point_3< Kernel >	midpoint (const CGAL::Point_3< Kernel > &p, const CGAL::Point_3< Kernel > &q)
CGAL::Point_2< Kernel >	min_vertex (const CGAL::Iso_rectangle_2< Kernel > &ir)
CGAL::Point_3< Kernel >	min_vertex (const CGAL::Iso_cuboid_3< Kernel > &ic)
CGAL::Vector_3< Kernel >	normal (const CGAL::Point_3< Kernel > &p, const CGAL::Point_3< Kernel > &q, const CGAL::Point_3< Kernel > &r)
Orientation	orientation (const CGAL::Point_2< Kernel > &p, const CGAL::Point_2< Kernel > &q, const CGAL::Point_2< Kernel > &r)
Orientation	orientation (const CGAL::Vector_2< Kernel > &u, const CGAL::Vector_2< Kernel > &v)
Orientation	orientation (const CGAL::Point_3< Kernel > &p, const CGAL::Point_3< Kernel > &q, const CGAL::Point_3< Kernel > &r, const CGAL::Point_3< Kernel > &s)
Orientation	orientation (const CGAL::Vector_3< Kernel > &u, const CGAL::Vector_3< Kernel > &v, const CGAL::Vector_3< Kernel > &w)
CGAL::Vector_3< Kernel >	orthogonal_vector (const CGAL::Plane_3< Kernel > &p)
CGAL::Vector_3< Kernel >	orthogonal_vector (const CGAL::Point_3< Kernel > &p, const CGAL::Point_3< Kernel > &q, const CGAL::Point_3< Kernel > &r)
bool	parallel (const CGAL::Line_2< Kernel > &l1, const CGAL::Line_2< Kernel > &l2)
bool	parallel (const CGAL::Ray_2< Kernel > &r1, const CGAL::Ray_2< Kernel > &r2)
bool	parallel (const CGAL::Segment_2< Kernel > &s1, const CGAL::Segment_2< Kernel > &s2)
bool	parallel (const CGAL::Line_3< Kernel > &l1, const CGAL::Line_3< Kernel > &l2)
bool	parallel (const CGAL::Plane_3< Kernel > &h1, const CGAL::Plane_3< Kernel > &h2)
bool	parallel (const CGAL::Ray_3< Kernel > &r1, const CGAL::Ray_3< Kernel > &r2)
bool	parallel (const CGAL::Segment_3< Kernel > &s1, const CGAL::Segment_3< Kernel > &s2)
CGAL::Plane_3< Kernel >	radical_plane (const CGAL::Sphere_3< Kernel > &s1, const CGAL::Sphere_3< Kernel > &s2)
CGAL::Line_2< Kernel >	radical_line (const CGAL::Circle_2< Kernel > &c1, const CGAL::Circle_2< Kernel > &c2)
bool	right_turn (const CGAL::Point_2< Kernel > &p, const CGAL::Point_2< Kernel > &q, const CGAL::Point_2< Kernel > &r)
Kernel::FT	scalar_product (const CGAL::Vector_2< Kernel > &u, const CGAL::Vector_2< Kernel > &v)
Kernel::FT	scalar_product (const CGAL::Vector_3< Kernel > &u, const CGAL::Vector_3< Kernel > &v)
Bounded_side	side_of_bounded_circle (const CGAL::Point_2< Kernel > &p, const CGAL::Point_2< Kernel > &q, const CGAL::Point_2< Kernel > &r, const CGAL::Point_2< Kernel > &t)
Bounded_side	side_of_bounded_circle (const CGAL::Point_2< Kernel > &p, const CGAL::Point_2< Kernel > &q, const CGAL::Point_2< Kernel > &t)
Bounded_side	side_of_bounded_sphere (const CGAL::Point_3< Kernel > &p, const CGAL::Point_3< Kernel > &q, const CGAL::Point_3< Kernel > &r, const CGAL::Point_3< Kernel > &s, const CGAL::Point_3< Kernel > &t)
Bounded_side	side_of_bounded_sphere (const CGAL::Point_3< Kernel > &p, const CGAL::Point_3< Kernel > &q, const CGAL::Point_3< Kernel > &r, const CGAL::Point_3< Kernel > &t)
Bounded_side	side_of_bounded_sphere (const CGAL::Point_3< Kernel > &p, const CGAL::Point_3< Kernel > &q, const CGAL::Point_3< Kernel > &t)
Oriented_side	side_of_oriented_circle (const CGAL::Point_2< Kernel > &p, const CGAL::Point_2< Kernel > &q, const CGAL::Point_2< Kernel > &r, const CGAL::Point_2< Kernel > &test)
Oriented_side	side_of_oriented_sphere (const CGAL::Point_3< Kernel > &p, const CGAL::Point_3< Kernel > &q, const CGAL::Point_3< Kernel > &r, const CGAL::Point_3< Kernel > &s, const CGAL::Point_3< Kernel > &test)
Kernel::FT	squared_area (const CGAL::Point_3< Kernel > &p, const CGAL::Point_3< Kernel > &q, const CGAL::Point_3< Kernel > &r)
FT	squared_radius (const CGAL::Point_2< Kernel > &p, const CGAL::Point_2< Kernel > &q, const CGAL::Point_2< Kernel > &r)
FT	squared_radius (const CGAL::Point_2< Kernel > &p, const CGAL::Point_2< Kernel > &q)
FT	squared_radius (const CGAL::Point_2< Kernel > &p)
FT	squared_radius (const CGAL::Point_3< Kernel > &p, const CGAL::Point_3< Kernel > &q, const CGAL::Point_3< Kernel > &r, const CGAL::Point_3< Kernel > &s)
FT	squared_radius (const CGAL::Point_3< Kernel > &p, const CGAL::Point_3< Kernel > &q, const CGAL::Point_3< Kernel > &r)
FT	squared_radius (const CGAL::Point_3< Kernel > &p, const CGAL::Point_3< Kernel > &q)
FT	squared_radius (const CGAL::Point_3< Kernel > &p)
CGAL::Vector_3< Kernel >	unit_normal (const CGAL::Point_3< Kernel > &p, const CGAL::Point_3< Kernel > &q, const CGAL::Point_3< Kernel > &r)
Kernel::FT	volume (const CGAL::Point_3< Kernel > &p0, const CGAL::Point_3< Kernel > &p1, const CGAL::Point_3< Kernel > &p2, const CGAL::Point_3< Kernel > &p3)
bool	x_equal (const CGAL::Point_2< Kernel > &p, const CGAL::Point_2< Kernel > &q)
bool	x_equal (const CGAL::Point_3< Kernel > &p, const CGAL::Point_3< Kernel > &q)
bool	y_equal (const CGAL::Point_2< Kernel > &p, const CGAL::Point_2< Kernel > &q)
bool	y_equal (const CGAL::Point_3< Kernel > &p, const CGAL::Point_3< Kernel > &q)
bool	z_equal (const CGAL::Point_3< Kernel > &p, const CGAL::Point_3< Kernel > &q)
void	rational_rotation_approximation (const RingNumberType &dirx, const RingNumberType &diry, RingNumberType &sin_num, RingNumberType &cos_num, RingNumberType &denom, const RingNumberType &eps_num, const RingNumberType &eps_den)
Kernel::FT	squared_distance (Type1< Kernel > obj1, Type2< Kernel > obj2)
Point_2< Homogeneous< RT > >	cartesian_to_homogeneous (const Point_2< Cartesian< RT > > &cp)
Point_3< Homogeneous< RT > >	cartesian_to_homogeneous (const Point_3< Cartesian< RT > > &cp)
Point_2< Cartesian< FT > >	homogeneous_to_cartesian (const Point_2< Homogeneous< FT > > &hp)
Point_3< Cartesian< FT > >	homogeneous_to_cartesian (const Point_3< Homogeneous< FT > > &hp)
Point_2< Cartesian< Quotient< RT > > >	homogeneous_to_quotient_cartesian (const Point_2< Homogeneous< RT > > &hp)
Point_3< Cartesian< Quotient< RT > > >	homogeneous_to_quotient_cartesian (const Point_3< Homogeneous< RT > > &hp)
Point_2< Homogeneous< RT > >	quotient_cartesian_to_homogeneous (const Point_2< Cartesian< Quotient< RT > > > &cp)
Point_3< Homogeneous< RT > >	quotient_cartesian_to_homogeneous (const Point_3< Cartesian< Quotient< RT > > > &cp)
bool	do_intersect (Type1< CircularKernel > obj1, Type2< CircularKernel > obj2)
OutputIterator	intersection (const Type1 &obj1, const Type2 &obj2, OutputIterator intersections)
Comparison_result	compare_y_at_x (const CGAL::Circular_arc_point_2< CircularKernel > &p, const CGAL::Circular_arc_2< CircularKernel > &a)
Comparison_result	compare_y_at_x (const CGAL::Circular_arc_point_2< CircularKernel > &p, const CGAL::Line_arc_2< CircularKernel > &a)
bool	do_intersect (Type1< SphericalKernel > obj1, Type2< SphericalKernel > obj2)
bool	do_intersect (Type1< SphericalKernel > obj1, Type2< SphericalKernel > obj2, Type3< SphericalKernel > obj3)
OutputIterator	intersection (const SphericalType1 &obj1, const SphericalType2 &obj2, OutputIterator intersections)
OutputIterator	intersection (const Type1 &obj1, const Type2 &obj2, const Type3 &obj3, OutputIterator intersections)
bool	is_finite (double x)
bool	is_finite (float x)
bool	is_finite (long double x)
OutputIterator	compute_roots_of_2 (const RT &a, const RT &b, const RT &c, OutputIterator oit)
Root_of_traits< RT >::Root_of_2	make_root_of_2 (const RT &a, const RT &b, const RT &c, bool s)
Root_of_traits< RT >::Root_of_2	make_root_of_2 (RT alpha, RT beta, RT gamma)
Root_of_traits< RT >::Root_of_2	make_sqrt (const RT &x)
Rational	simplest_rational_in_interval (double d1, double d2)
Rational	to_rational (double d)
bool	is_valid (const T &x)
T	max (const T &x, const T &y)
T	min (const T &x, const T &y)
OutputIterator	locate (const Arrangement_2< Traits, Dcel > &arr, InputIterator points_begin, InputIterator points_end, OutputIterator oi)
void	overlay (const Arrangement_2< GeomTraitsA, TopTraitsA > &arr1, const Arrangement_2< GeomTraitsB, TopTraitsB > &arr2, Arrangement_2< GeomTraitsRes, TopTraitsRes > &arr_res, OverlayTraits &ovl_tr)
void	overlay (const Arrangement_with_history_2< Traits, Dcel1 > &arr1, const Arrangement_with_history_2< Traits, Dcel2 > &arr2, Arrangement_with_history_2< Traits, ResDcel > &res, OverlayTraits &ovl_tr)
OutputIterator	decompose (const Arrangement_2< Traits, Dcel > &arr, OutputIterator oi)
bool	do_intersect (Arrangement_on_surface_2< GeomTraits, TopTraits > &arr, const Curve &c, const PointLocation &pl)
Arrangement_2< Traits, Dcel >::Halfedge_handle	insert_non_intersecting_curve (Arrangement_2< Traits, Dcel > &arr, const typename Traits::X_monotone_curve_2 &xc, const PointLocation &pl=walk_pl)
void	insert_non_intersecting_curves (Arrangement_2< Traits, Dcel > &arr, InputIterator first, InputIterator last)
Arrangement_2< Traits, Dcel >::Vertex_handle	insert_point (Arrangement_2< Traits, Dcel > &arr, const typename Traits::Point_2 &p, const PointLocation &pl=walk_pl)
bool	is_valid (const Arrangement_2< Traits, Dcel > &arr)
Arrangement_2< Traits, Dcel >::Face_handle	remove_edge (Arrangement_2< Traits, Dcel > &arr, typename Arrangement_2< Traits, Dcel >::Halfedge_handle e)
bool	remove_vertex (Arrangement_2< Traits, Dcel > &arr, typename Arrangement_2< Traits, Dcel >::Vertex_handle v)
OutputIterator	zone (Arrangement_on_surface_2< GeomTraits, TopTraits > &arr, const typename GeomTraits::X_monotone_curve_2 &c, OutputIterator oi, const PointLocation &pl)
Arrangement_with_history_2< Traits, Dcel >::Curve_handle	insert (Arrangement_with_history_2< Traits, Dcel > &arr, const typename Traits::Curve_2 &c, const PointLocation &pl=walk_pl)
void	insert (Arrangement_with_history_2< Traits, Dcel > &arr, InputIterator first, InputIterator last)
Size	remove_curve (Arrangement_with_history_2< Traits, Dcel > &arr, typename Arrangement_with_history_2< Traits, Dcel >::Curve_handle ch)
void	overlay (const Arrangement_with_history_2< Traits, Dcel1 > &arr1, const Arrangement_with_history_2< Traits, Dcel2 > &arr2, Arrangement_with_history_2< Traits, ResDcel > &res)
std::istream &	read (Arrangement_2< Traits, Dcel > &arr, std::istream &is, Formatter &formatter)
std::ostream &	write (const Arrangement_2< Traits, Dcel > &arr, std::ostream &os, Formatter &formatter)
std::ostream &	operator<< (std::ostream &os, const Arrangement_2< Traits, Dcel > &arr)
std::istream &	operator>> (std::istream &is, Arrangement_2< Traits, Dcel > &arr)
std::istream &	read (Arrangement_with_history_2< Traits, Dcel > &arr, std::istream &is, WithHistoryFormatter &formatter)
std::ostream &	write (const Arrangement_with_history_2< Traits, Dcel > &arr, std::ostream &os, WithHistoryFormatter &formatter)
std::ostream &	operator<< (std::ostream &os, const Arrangement_with_history_2< Traits, Dcel > &arr)
std::istream &	operator>> (std::istream &is, Arrangement_with_history_2< Traits, Dcel > &arr)
void	insert (Arrangement_2< Traits, Dcel > &arr, const Curve &c, const PointLocation &pl=walk_pl)
void	insert (Arrangement_2< Traits, Dcel > &arr, const typename Traits::X_monotone_curve_2 &xc, const Object &obj)
void	insert (Arrangement_2< Traits, Dcel > &arr, InputIterator first, InputIterator last)
bool	has_in_x_range (const Circular_arc_2< CircularKernel > &ca, const Circular_arc_point_2< CircularKernel > &p)
bool	has_in_x_range (const Line_arc_2< CircularKernel > &ca, const Circular_arc_point_2< CircularKernel > &p)
bool	has_on (const Circle_2< CircularKernel > &c, const Circular_arc_point_2< CircularKernel > &p)
template<class OutputIterator >
OutputIterator	make_x_monotone (const Circular_arc_2< CircularKernel > &ca, OutputIterator res)
template<class OutputIterator >
OutputIterator	make_xy_monotone (const Circular_arc_2< CircularKernel > &ca, OutputIterator res)
Circular_arc_point_2< CircularKernel >	x_extremal_point (const Circle_2< CircularKernel > &c, bool b)
template<class OutputIterator >
OutputIterator	x_extremal_points (const Circle_2< CircularKernel > &c, OutputIterator res)
Circular_arc_point_2< CircularKernel >	y_extremal_point (const Circle_2< CircularKernel > &c, bool b)
template<class OutputIterator >
OutputIterator	y_extremal_points (const Circle_2< CircularKernel > &c, OutputIterator res)
CGAL::Comparison_result	compare_y_to_right (const Circular_arc_2< CircularKernel > &ca1, const Circular_arc_2< CircularKernel > &ca2, Circular_arc_point_2< CircularKernel > &p)

Variables
	OBTUSE
	RIGHT
	ACUTE
	ON_UNBOUNDED_SIDE
	ON_BOUNDARY
	ON_BOUNDED_SIDE
	SMALLER
	EQUAL
	LARGER
	NEGATIVE
	ZERO
	POSITIVE
	ON_NEGATIVE_SIDE
	ON_ORIENTED_BOUNDARY
	ON_POSITIVE_SIDE
	LEFT_BOUNDARY
	RIGHT_BOUNDARY
	BOTTOM_BOUNDARY
	TOP_BOUNDARY
	INTERIOR
	EXTERIOR
const CGAL::Orientation	CLOCKWISE
const CGAL::Orientation	COUNTERCLOCKWISE
const CGAL::Orientation	COLLINEAR
const CGAL::Orientation	LEFT_TURN
const CGAL::Orientation	RIGHT_TURN
const CGAL::Orientation	COPLANAR
const CGAL::Orientation	DEGENERATE
const CGAL::Null_vector	NULL_VECTOR
const CGAL::Origin	ORIGIN
	ARR_MIN_END
	ARR_MAX_END
	ARR_LEFT_TO_RIGHT
	ARR_RIGHT_TO_LEFT
const Arr_parameter_space	ARR_LEFT_BOUNDARY
const Arr_parameter_space	ARR_RIGHT_BOUNDARY
const Arr_parameter_space	ARR_BOTTOM_BOUNDARY
const Arr_parameter_space	ARR_TOP_BOUNDARY
const Arr_parameter_space	ARR_INTERIOR