CGAL 6.2 - 3D Spherical Geometry Kernel

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Classes | Typedefs | Enumerations | Functions | Variables
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
class | Algebraic_structure_traits
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 | Coercion_traits
struct | Dimension_tag
class | Direction_2
class | Direction_3
struct | Dynamic_dimension_tag
struct | Euclidean_ring_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 | Field_tag
struct | Field_with_kth_root_tag
struct | Field_with_root_of_tag
struct | Field_with_sqrt_tag
struct | Filtered_kernel
struct | Filtered_kernel_adaptor
class | Filtered_predicate
class | Fraction_traits
class | Gmpfi
class | Gmpfr
class | Gmpq
class | Gmpz
class | Gmpzf
struct | Homogeneous
class | Homogeneous_converter
class | Identity_transformation
struct | Integral_domain_tag
struct | Integral_domain_without_division_tag
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_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 | Real_embeddable_traits
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
struct | Unique_factorization_domain_tag
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
NT | abs (const NT &x)
result_type | compare (const NT &x, const NT &y)
result_type | div (const NT1 &x, const NT2 &y)
void | div_mod (const NT1 &x, const NT2 &y, result_type &q, result_type &r)
result_type | gcd (const NT1 &x, const NT2 &y)
result_type | integral_division (const NT1 &x, const NT2 &y)
NT | inverse (const NT &x)
result_type | is_negative (const NT &x)
result_type | is_one (const NT &x)
result_type | is_positive (const NT &x)
result_type | is_square (const NT &x)
result_type | is_square (const NT &x, NT &y)
result_type | is_zero (const NT &x)
NT | kth_root (int k, const NT &x)
result_type | mod (const NT1 &x, const NT2 &y)
NT | root_of (int k, InputIterator begin, InputIterator end)
result_type | sign (const NT &x)
void | simplify (const NT &x)
NT | sqrt (const NT &x)
NT | square (const NT &x)
double | to_double (const NT &x)
std::pair< double, double > | to_interval (const NT &x)
NT | unit_part (const NT &x)
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< CircularKernel > | x_extremal_point (const Circle_2< CircularKernel > &c, bool b)
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)
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)
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_2< Kernel > &s1s, const CGAL::Point_2< Kernel > &s1t, const CGAL::Point_2< Kernel > &s2s, const CGAL::Point_2< Kernel > &s2t)
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_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)
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)
bool | do_intersect (Type1< Kernel > obj1, Type2< Kernel > obj2)
bool | do_intersect (Plane_3< Kernel > obj1, Plane_3< Kernel > obj2, Plane_3< Kernel > obj3)
bool | do_intersect (Type1< CircularKernel > obj1, Type2< CircularKernel > obj2)
bool | do_intersect (Type1< SphericalKernel > obj1, Type2< SphericalKernel > obj2)
bool | do_intersect (Type1< SphericalKernel > obj1, Type2< SphericalKernel > obj2, Type3< SphericalKernel > obj3)
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)
decltype(auto) | intersection (Type1< Kernel > obj1, Type2< Kernel > obj2)
decltype(auto) | intersection (const Plane_3< Kernel > &pl1, const Plane_3< Kernel > &pl2, const Plane_3< Kernel > &pl3)
OutputIterator | intersection (const Type1 &obj1, const Type2 &obj2, OutputIterator intersections)
OutputIterator | intersection (const SphericalType1 &obj1, const SphericalType2 &obj2, OutputIterator intersections)
OutputIterator | intersection (const Type1 &obj1, const Type2 &obj2, const Type3 &obj3, OutputIterator intersections)
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_2< Kernel > | midpoint (const CGAL::Segment_2< Kernel > &s)
CGAL::Point_3< Kernel > | midpoint (const CGAL::Point_3< Kernel > &p, const CGAL::Point_3< Kernel > &q)
CGAL::Point_3< Kernel > | midpoint (const CGAL::Segment_3< Kernel > &s)
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)
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)
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)
Kernel::FT | squared_distance (Type1< Kernel > obj1, Type2< Kernel > obj2)
FT | squared_length (const CGAL::Vector_2< Kernel > &v)
FT | squared_length (const CGAL::Segment_2< Kernel > &s)
FT | squared_length (const CGAL::Vector_3< Kernel > &v)
FT | squared_length (const CGAL::Segment_3< Kernel > &s)
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)
Comparison_result | compare_angle (const CGAL::Point_3< Kernel > &a, const CGAL::Point_3< Kernel > &b, const CGAL::Point_3< Kernel > &c, const Kernel::FT &cosine)
Comparison_result | compare_projection_along_direction_3 (const CGAL::Point_3< Kernel > &p, const CGAL::Point_3< Kernel > &q, const CGAL::Direction_3< Kernel > &dir)
T | enum_cast (const U &u)
Oriented_side | opposite (const Oriented_side &o)
Bounded_side | opposite (const Bounded_side &o)
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)
Rational | simplest_rational_in_interval (double d1, double d2)
Rational | to_rational (double d)
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)
bool | is_valid (const T &x)
T | max (const T &x, const T &y)
T | 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.
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`.
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`.
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`.
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`.
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.
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`).
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`.
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.
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.
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.
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.
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.
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.
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.
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.
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.

## 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