\( \newcommand{\E}{\mathrm{E}} \) \( \newcommand{\A}{\mathrm{A}} \) \( \newcommand{\R}{\mathrm{R}} \) \( \newcommand{\N}{\mathrm{N}} \) \( \newcommand{\Q}{\mathrm{Q}} \) \( \newcommand{\Z}{\mathrm{Z}} \) \( \def\ccSum #1#2#3{ \sum_{#1}^{#2}{#3} } \def\ccProd #1#2#3{ \sum_{#1}^{#2}{#3} }\)
CGAL 4.13.1 - 3D Spherical Geometry Kernel
CGAL Namespace Reference

Classes

class  Aff_transformation_2
 
class  Aff_transformation_3
 
struct  Algebraic_kernel_for_circles_2_2
 
struct  Algebraic_kernel_for_spheres_2_3
 
struct  Ambient_dimension
 
class  Bbox_2
 
class  Bbox_3
 
struct  Cartesian
 
class  Cartesian_converter
 
class  Circle_2
 
class  Circle_3
 
class  Circular_arc_2
 
class  Circular_arc_3
 
class  Circular_arc_point_2
 
class  Circular_arc_point_3
 
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
 
class  Exact_spherical_kernel_3
 A typedef to a spherical kernel that provides both exact geometric predicates and exact geometric constructions. More...
 
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
 
class  Line_arc_3
 
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_1_3
 
class  Polynomial_for_circles_2_2
 
class  Polynomial_for_spheres_2_3
 
class  Polynomials_for_lines_3
 
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
 
class  Root_for_spheres_2_3
 
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
 
struct  Spherical_kernel_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
 

Enumerations

enum  Angle
 
enum  Bounded_side
 
enum  Comparison_result
 
enum  Sign
 
enum  Oriented_side
 
enum  Box_parameter_space_2
 
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

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)
 
OutputIterator make_x_monotone (const Circular_arc_2< CircularKernel > &ca, OutputIterator res)
 
OutputIterator make_xy_monotone (const Circular_arc_2< CircularKernel > &ca, OutputIterator res)
 
Circular_arc_point_2< CircularKernelx_extremal_point (const Circle_2< CircularKernel > &c, bool b)
 
OutputIterator x_extremal_points (const Circle_2< CircularKernel > &c, OutputIterator res)
 
Circular_arc_point_2< CircularKernely_extremal_point (const Circle_2< CircularKernel > &c, bool b)
 
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)
 
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_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< Kernelbarycenter (const CGAL::Point_2< Kernel > &p1, const Kernel::FT &w1, const CGAL::Point_2< Kernel > &p2)
 
CGAL::Point_2< Kernelbarycenter (const CGAL::Point_2< Kernel > &p1, const Kernel::FT &w1, const CGAL::Point_2< Kernel > &p2, const Kernel::FT &w2)
 
CGAL::Point_2< Kernelbarycenter (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< Kernelbarycenter (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< Kernelbarycenter (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< Kernelbarycenter (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< Kernelbarycenter (const CGAL::Point_3< Kernel > &p1, const Kernel::FT &w1, const CGAL::Point_3< Kernel > &p2)
 
CGAL::Point_3< Kernelbarycenter (const CGAL::Point_3< Kernel > &p1, const Kernel::FT &w1, const CGAL::Point_3< Kernel > &p2, const Kernel::FT &w2)
 
CGAL::Point_3< Kernelbarycenter (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< Kernelbarycenter (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< Kernelbarycenter (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< Kernelbarycenter (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< Kernelbisector (const CGAL::Point_2< Kernel > &p, const CGAL::Point_2< Kernel > &q)
 
CGAL::Line_2< Kernelbisector (const CGAL::Line_2< Kernel > &l1, const CGAL::Line_2< Kernel > &l2)
 
CGAL::Plane_3< Kernelbisector (const CGAL::Point_3< Kernel > &p, const CGAL::Point_3< Kernel > &q)
 
CGAL::Plane_3< Kernelbisector (const CGAL::Plane_3< Kernel > &h1, const CGAL::Plane_3< Kernel > &h2)
 
CGAL::Point_2< Kernelcentroid (const CGAL::Point_2< Kernel > &p, const CGAL::Point_2< Kernel > &q, const CGAL::Point_2< Kernel > &r)
 
CGAL::Point_2< Kernelcentroid (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< Kernelcentroid (const CGAL::Triangle_2< Kernel > &t)
 
CGAL::Point_3< Kernelcentroid (const CGAL::Point_3< Kernel > &p, const CGAL::Point_3< Kernel > &q, const CGAL::Point_3< Kernel > &r)
 
CGAL::Point_3< Kernelcentroid (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< Kernelcentroid (const CGAL::Triangle_3< Kernel > &t)
 
CGAL::Point_3< Kernelcentroid (const CGAL::Tetrahedron_3< Kernel > &t)
 
CGAL::Point_2< Kernelcircumcenter (const CGAL::Point_2< Kernel > &p, const CGAL::Point_2< Kernel > &q)
 
CGAL::Point_2< Kernelcircumcenter (const CGAL::Point_2< Kernel > &p, const CGAL::Point_2< Kernel > &q, const CGAL::Point_2< Kernel > &r)
 
CGAL::Point_2< Kernelcircumcenter (const CGAL::Triangle_2< Kernel > &t)
 
CGAL::Point_3< Kernelcircumcenter (const CGAL::Point_3< Kernel > &p, const CGAL::Point_3< Kernel > &q)
 
CGAL::Point_3< Kernelcircumcenter (const CGAL::Point_3< Kernel > &p, const CGAL::Point_3< Kernel > &q, const CGAL::Point_3< Kernel > &r)
 
CGAL::Point_3< Kernelcircumcenter (const CGAL::Triangle_3< Kernel > &t)
 
CGAL::Point_3< Kernelcircumcenter (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< Kernelcircumcenter (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< Kernelcross_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< Kernelequidistant_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< Kernelmax_vertex (const CGAL::Iso_rectangle_2< Kernel > &ir)
 
CGAL::Point_3< Kernelmax_vertex (const CGAL::Iso_cuboid_3< Kernel > &ic)
 
CGAL::Point_2< Kernelmidpoint (const CGAL::Point_2< Kernel > &p, const CGAL::Point_2< Kernel > &q)
 
CGAL::Point_3< Kernelmidpoint (const CGAL::Point_3< Kernel > &p, const CGAL::Point_3< Kernel > &q)
 
CGAL::Point_2< Kernelmin_vertex (const CGAL::Iso_rectangle_2< Kernel > &ir)
 
CGAL::Point_3< Kernelmin_vertex (const CGAL::Iso_cuboid_3< Kernel > &ic)
 
CGAL::Vector_3< Kernelnormal (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< Kernelorthogonal_vector (const CGAL::Plane_3< Kernel > &p)
 
CGAL::Vector_3< Kernelorthogonal_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< Kernelradical_plane (const CGAL::Sphere_3< Kernel > &s1, const CGAL::Sphere_3< Kernel > &s2)
 
CGAL::Line_2< Kernelradical_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< Kernelunit_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)
 
max (const T &x, const T &y)
 
min (const T &x, const T &y)
 
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< SphericalKerneltheta_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< SphericalKernelx_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< SphericalKernelx_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< SphericalKernely_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< SphericalKernely_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< SphericalKernelz_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< SphericalKernelz_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...
 

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