\( \newcommand{\E}{\mathrm{E}} \) \( \newcommand{\A}{\mathrm{A}} \) \( \newcommand{\R}{\mathrm{R}} \) \( \newcommand{\N}{\mathrm{N}} \) \( \newcommand{\Q}{\mathrm{Q}} \) \( \newcommand{\Z}{\mathrm{Z}} \) \( \def\ccSum #1#2#3{ \sum_{#1}^{#2}{#3} } \def\ccProd #1#2#3{ \sum_{#1}^{#2}{#3} }\)
CGAL 5.0.3 - dD Geometry Kernel
Namespaces | Classes | Typedefs | Enumerations | Functions | Variables
CGAL Namespace Reference

Namespaces

 cpp11
 
 cpp98
 

Classes

class  Aff_transformation_2
 
class  Aff_transformation_3
 
class  Aff_transformation_d
 An instance of the data type Aff_transformation_d<Kernel> is an affine transformation of \( d\)-dimensional space. More...
 
class  Algebraic_structure_traits
 
struct  Ambient_dimension
 
class  Bbox_2
 
class  Bbox_3
 
struct  Bidirectional_circulator_base
 
class  Bidirectional_circulator_ptrbase
 
struct  Bidirectional_circulator_tag
 
struct  Boolean_tag
 
struct  Cartesian
 
class  Cartesian_converter
 
class  Cartesian_d
 A model for Kernel_d (and even KernelWithLifting_d) that uses Cartesian coordinates to represent the geometric objects. More...
 
struct  Cast_function_object
 
class  CC_safe_handle
 
class  Circle_2
 
class  Circle_3
 
struct  Circulator_base
 
class  Circulator_from_container
 
class  Circulator_from_iterator
 
struct  Circulator_tag
 
struct  Circulator_traits
 
struct  Coercion_traits
 
class  Color
 
struct  Compact
 
class  Compact_container
 
class  Compact_container_base
 
struct  Compact_container_traits
 
class  Compare_to_less
 
class  Concurrent_compact_container
 
struct  Concurrent_compact_container_traits
 
class  Const_oneset_iterator
 
struct  Construct_array
 
class  Container_from_circulator
 
class  Counting_iterator
 
class  Creator_1
 
class  Creator_2
 
class  Creator_3
 
class  Creator_4
 
class  Creator_5
 
class  Creator_uniform_2
 
class  Creator_uniform_3
 
class  Creator_uniform_4
 
class  Creator_uniform_5
 
class  Creator_uniform_6
 
class  Creator_uniform_7
 
class  Creator_uniform_8
 
class  Creator_uniform_9
 
class  Creator_uniform_d
 
struct  Default
 
class  Delaunay_triangulation
 
struct  Dereference
 
struct  Dimension_tag
 
class  Direction_2
 
class  Direction_3
 
class  Direction_d
 A Direction_d is a vector in the \( d\)-dimensional vector space where we forget about its length. More...
 
class  Dispatch_or_drop_output_iterator
 
class  Dispatch_output_iterator
 
class  Distance_adapter
 
struct  Dynamic_dimension_tag
 
struct  Emptyset_iterator
 
struct  Epeck_d
 A model for Kernel_d, minus Kernel_d::Point_of_sphere_d, that uses Cartesian coordinates to represent the geometric objects. More...
 
struct  Epick_d
 A model for Kernel_d that uses Cartesian coordinates to represent the geometric objects. More...
 
class  Euclidean_distance
 
class  Euclidean_distance_sphere_point
 
struct  Euclidean_ring_tag
 
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  Fair
 
struct  Fast
 
struct  Feature_dimension
 
struct  Field_tag
 
struct  Field_with_kth_root_tag
 
struct  Field_with_root_of_tag
 
struct  Field_with_sqrt_tag
 
struct  Filter_iterator
 
struct  Filtered_kernel
 
struct  Filtered_kernel_adaptor
 
class  Filtered_predicate
 
struct  Forward_circulator_base
 
class  Forward_circulator_ptrbase
 
struct  Forward_circulator_tag
 
class  Fourtuple
 
class  Fraction_traits
 
class  Fuzzy_iso_box
 
class  Fuzzy_sphere
 
struct  Get_address
 
class  Gmpfi
 
class  Gmpfr
 
class  Gmpq
 
class  Gmpz
 
class  Gmpzf
 
struct  Homogeneous
 
class  Homogeneous_converter
 
class  Homogeneous_d
 A model for a Kernel_d (and even KernelWithLifting_d) using homogeneous coordinates to represent the geometric objects. More...
 
class  Hyperplane_d
 An instance of data type Hyperplane_d is an oriented hyperplane in \( d\) - dimensional space. More...
 
struct  Identity
 
class  Identity_transformation
 
class  In_place_list
 
class  In_place_list_base
 
class  Incremental_neighbor_search
 
class  Input_rep
 
class  Insert_iterator
 
struct  Integral_domain_tag
 
struct  Integral_domain_without_division_tag
 
class  Interval_nt
 
class  Inverse_index
 
class  Is_valid
 
class  Iso_box_d
 An object \( b\) of the data type Iso_box_d is an iso-box in the Euclidean space \( \E^d\) with edges parallel to the axes of the coordinate system. More...
 
class  Iso_cuboid_3
 
class  Iso_rectangle_2
 
class  Istream_iterator
 
class  Iterator_range
 
struct  Iterator_tag
 
class  Join_input_iterator_1
 
class  Join_input_iterator_2
 
class  Join_input_iterator_3
 
class  K_neighbor_search
 
class  Kd_tree
 
class  Kd_tree_internal_node
 
class  Kd_tree_leaf_node
 
class  Kd_tree_node
 
class  Kd_tree_rectangle
 
struct  Kernel_traits
 
class  Lazy_exact_nt
 
class  Line_2
 
class  Line_3
 
class  Line_d
 An instance of data type Line_d is an oriented line in \( d\)-dimensional Euclidean space. More...
 
class  Linear_algebraCd
 The class Linear_algebraCd serves as the default traits class for the LA parameter of CGAL::Cartesian_d<FT,LA>. More...
 
class  Linear_algebraHd
 The class Linear_algebraHd serves as the default traits class for the LA parameter of CGAL::Homogeneous_d<RT,LA>. More...
 
struct  Location_policy
 
class  Manhattan_distance_iso_box_point
 
struct  Max
 
class  Median_of_max_spread
 
class  Median_of_rectangle
 
class  Midpoint_of_max_spread
 
class  Midpoint_of_rectangle
 
struct  Min
 
class  MP_Float
 
struct  Mpzf
 
class  Multiset
 
class  N_step_adaptor
 
struct  NT_converter
 
struct  Null_functor
 
struct  Null_tag
 
class  Null_vector
 
class  Number_type_checker
 
class  Object
 
class  Oneset_iterator
 
class  Origin
 
class  Orthogonal_incremental_neighbor_search
 
class  Orthogonal_k_neighbor_search
 
class  Ostream_iterator
 
class  Output_rep
 
struct  Parallel_tag
 
class  Plane_3
 
class  Plane_separator
 
class  Point_2
 
class  Point_3
 
class  Point_container
 
class  Point_d
 An instance of data type Point_d<Kernel> is a point of Euclidean space in dimension \( d\). More...
 
struct  Project_facet
 
struct  Project_next
 
struct  Project_next_opposite
 
struct  Project_normal
 
struct  Project_opposite_prev
 
struct  Project_plane
 
struct  Project_point
 
struct  Project_prev
 
struct  Project_vertex
 
class  Projection_traits_xy_3
 
class  Projection_traits_xz_3
 
class  Projection_traits_yz_3
 
struct  Protect_FPU_rounding
 
class  Quadruple
 
class  Quotient
 
class  Random_access_adaptor
 
struct  Random_access_circulator_base
 
class  Random_access_circulator_ptrbase
 
struct  Random_access_circulator_tag
 
class  Random_access_value_adaptor
 
class  Rational_traits
 
class  Ray_2
 
class  Ray_3
 
class  Ray_d
 An instance of data type Ray_d is a ray in \( d\)-dimensional Euclidean space. More...
 
class  Real_embeddable_traits
 
class  Reflection
 
class  Regular_triangulation
 
class  Regular_triangulation_traits_adapter
 
struct  Root_of_traits
 
class  Rotation
 
class  Scaling
 
class  Search_traits
 
class  Search_traits_2
 
class  Search_traits_3
 
class  Search_traits_adapter
 
class  Search_traits_d
 
class  Segment_2
 
class  Segment_3
 
class  Segment_d
 An instance \( s\) of the data type Segment_d is a directed straight line segment in \( d\)-dimensional Euclidean space connecting two points \( p\) and \( q\). More...
 
struct  Sequential_tag
 
class  Set_ieee_double_precision
 
struct  Simple_cartesian
 
struct  Simple_homogeneous
 
class  Sixtuple
 
class  Sliding_fair
 
class  Sliding_midpoint
 
class  Spatial_lock_grid_3
 
class  Sphere_3
 
class  Sphere_d
 An instance \( S\) of the data type Sphere_d is an oriented sphere in some \( d\)-dimensional space. More...
 
class  Sqrt_extension
 
class  Tetrahedron_3
 
class  Threetuple
 
class  Translation
 
class  Triangle_2
 
class  Triangle_3
 
class  Triangulation
 
class  Triangulation_data_structure
 
class  Triangulation_ds_full_cell
 
class  Triangulation_ds_vertex
 
class  Triangulation_face
 
class  Triangulation_full_cell
 
class  Triangulation_vertex
 
class  Triple
 
class  Twotuple
 
class  Uncertain
 
struct  Unique_factorization_domain_tag
 
struct  value_type_traits
 
struct  value_type_traits< std::back_insert_iterator< Container > >
 
struct  value_type_traits< std::front_insert_iterator< Container > >
 
struct  value_type_traits< std::insert_iterator< Container > >
 
class  Vector_2
 
class  Vector_3
 
class  Vector_d
 An instance of data type Vector_d<Kernel> is a vector of Euclidean space in dimension \( d\). More...
 
class  Verbose_ostream
 
class  Weighted_Minkowski_distance
 
class  Weighted_point_2
 
class  Weighted_point_3
 

Typedefs

typedef Sign Orientation
 
typedef Location_policy< Compact > Compact_location
 
typedef Location_policy< Fast > Fast_location
 
typedef CGAL::Boolean_tag< false > Tag_false
 
typedef CGAL::Boolean_tag< true > Tag_true
 
typedef void(* Failure_function) (const char *type, const char *expression, const char *file, int line, const char *explanation)
 
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  Failure_behaviour
 

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)
 
OutputIterator copy_n (InputIterator first, Size n, OutputIterator result)
 
std::pair< ForwardIterator, ForwardIterator > min_max_element (ForwardIterator first, ForwardIterator last)
 
std::pair< ForwardIterator, ForwardIterator > min_max_element (ForwardIterator first, ForwardIterator last, CompareMin comp_min, CompareMax comp_max)
 
BidirectionalIterator predecessor (BidirectionalIterator it)
 
ForwardIterator successor (ForwardIterator it)
 
std::array< T, N > make_array (const T &...)
 
CC_safe_handle< CC_iterator > make_cc_safe_handle (CC_iterator iterator)
 
Compare_to_less< F > compare_to_less (const F &f)
 
Iterator_range< T > make_range (const T &b, const T &e)
 
T range_begin (Iterator_range< T > &x)
 
T range_end (Iterator_range< T > &x)
 
T range_begin (const Iterator_range< T > &x)
 
T range_end (const Iterator_range< T > &x)
 
Failure_function set_error_handler (Failure_function handler)
 
Failure_function set_warning_handler (Failure_function handler)
 
Failure_behaviour set_error_behaviour (Failure_behaviour eb)
 
Failure_behaviour set_warning_behaviour (Failure_behaviour eb)
 
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)
 
void Assert_circulator (const C &c)
 
void Assert_iterator (const I &i)
 
void Assert_circulator_or_iterator (const IC &i)
 
void Assert_input_category (const I &i)
 
void Assert_output_category (const I &i)
 
void Assert_forward_category (const IC &ic)
 
void Assert_bidirectional_category (const IC &ic)
 
void Assert_random_access_category (const IC &ic)
 
C::difference_type circulator_distance (C c, C d)
 
C::size_type circulator_size (C c)
 
bool is_empty_range (const IC &i, const IC &j)
 
iterator_traits< IC >::difference_type iterator_distance (IC ic1, IC ic2)
 
Iterator_tag query_circulator_or_iterator (const I &i)
 
Circulator_tag query_circulator_or_iterator (const C &c)
 
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)
 
template<class ForwardIterator >
Point_d< R > center_of_sphere (ForwardIterator first, ForwardIterator last)
 returns the center of the sphere spanned by the points in A = tuple[first,last). More...
 
Point_d< R > lift_to_paraboloid (const Point_d< R > &p)
 returns the projection of \( p = (x_0,\ldots,x_{d-1})\) onto the paraboloid of revolution which is the point \( (p_0, \ldots,p_{d-1},\sum_{0 \le i < d}p_i^2)\) in \( (d+1)\)-space.
 
template<class ForwardIterator , class OutputIterator >
OutputIterator linear_base (ForwardIterator first, ForwardIterator last, OutputIterator result)
 computes a basis of the linear space spanned by the vectors in A = tuple [first,last) and returns it via an iterator range starting in result. More...
 
Point_d< R > midpoint (const Point_d< R > &p, const Point_d< R > &q)
 computes the midpoint of the segment \( pq\). More...
 
Point_d< R > project_along_d_axis (const Point_d< R > &p)
 returns \( p\) projected along the \( d\)-axis onto the hyperspace spanned by the first \( d-1\) standard base vectors.
 
FT squared_distance (Point_d< R > p, Point_d< R > q)
 computes the square of the Euclidean distance between the two points \( p\) and \( q\). More...
 
bool do_intersect (Type1< R > obj1, Type2< R > obj2)
 checks whether obj1 and obj2 intersect. More...
 
cpp11::result_of< R::Intersect_d(Type1< R >, Type2< R >)>::type intersection (Type1< R > f1, Type2< R > f2)
 returns the intersection between f1 and f2. More...
 
template<class ForwardIterator >
bool affinely_independent (ForwardIterator first, ForwardIterator last)
 returns true iff the points in A = tuple [first,last) are affinely independent. More...
 
template<class ForwardIterator >
int affine_rank (ForwardIterator first, ForwardIterator last)
 computes the affine rank of the points in A = tuple [first,last). More...
 
Comparison_result compare_lexicographically (const Point_d< R > &p, const Point_d< R > &q)
 Compares the Cartesian coordinates of points p and q lexicographically in ascending order of its Cartesian components p[i] and q[i] for \( i = 0,\ldots,d-1\). More...
 
template<class ForwardIterator >
bool contained_in_affine_hull (ForwardIterator first, ForwardIterator last, const Point_d< R > &p)
 determines whether \( p\) is contained in the affine hull of the points in A = tuple [first,last). More...
 
template<class ForwardIterator >
bool contained_in_linear_hull (ForwardIterator first, ForwardIterator last, const Vector_d< R > &v)
 determines whether \( v\) is contained in the linear hull of the vectors in A = tuple [first,last). More...
 
template<class ForwardIterator >
bool contained_in_simplex (ForwardIterator first, ForwardIterator last, const Point_d< R > &p)
 determines whether \( p\) is contained in the simplex of the points in A = tuple [first,last). More...
 
bool lexicographically_smaller (const Point_d< R > &p, const Point_d< R > &q)
 returns true iff p is lexicographically smaller than q with respect to Cartesian lexicographic order of points. More...
 
bool lexicographically_smaller_or_equal (const Point_d< R > &p, const Point_d< R > &q)
 returns true iff \( p\) is lexicographically smaller than \( q\) with respect to Cartesian lexicographic order of points or equal to \( q\). More...
 
template<class ForwardIterator >
bool linearly_independent (ForwardIterator first, ForwardIterator last)
 decides whether the vectors in A = tuple [first,last) are linearly independent. More...
 
template<class ForwardIterator >
int linear_rank (ForwardIterator first, ForwardIterator last)
 computes the linear rank of the vectors in A = tuple [first,last). More...
 
template<class ForwardIterator >
Orientation orientation (ForwardIterator first, ForwardIterator last)
 determines the orientation of the points of the tuple A = tuple [first,last) where \( A\) consists of \( d+1\) points in \( d\)-space. More...
 
template<class ForwardIterator >
Bounded_side side_of_bounded_sphere (ForwardIterator first, ForwardIterator last, const Point_d< R > &p)
 returns the relative position of point p to the sphere defined by A = tuple [first,last). More...
 
template<class ForwardIterator >
Oriented_side side_of_oriented_sphere (ForwardIterator first, ForwardIterator last, const Point_d< R > &p)
 returns the relative position of point p to the oriented sphere defined by the points in A = tuple [first,last) The order of the points in \( A\) is important, since it determines the orientation of the implicitly constructed sphere. 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
 
 ABORT
 
 EXIT
 
 EXIT_WITH_SUCCESS
 
 CONTINUE
 
 THROW_EXCEPTION