CGAL Namespace Reference

Namespaces
	cpp11
	cpp98

Classes
class	Aff_transformation_2
class	Aff_transformation_3
class	Algebraic_kernel_d_1
class	Algebraic_kernel_d_2
struct	Algebraic_kernel_for_circles_2_2
class	Algebraic_kernel_rs_gmpq_d_1
class	Algebraic_kernel_rs_gmpz_d_1
class	Algebraic_structure_traits
struct	Ambient_dimension
class	Arr_accessor
class	Arr_algebraic_segment_traits_2
	The traits class Arr_algebraic_segment_traits_2 is a model of the ArrangementTraits_2 concept that handles planar algebraic curves of arbitrary degree, and \( x\)-monotone of such curves. More...
class	Arr_Bezier_curve_traits_2
	The traits class Arr_Bezier_curve_traits_2 is a model of the ArrangementTraits_2 concept that handles planar Bézier curves. More...
class	Arr_circle_segment_traits_2
	The class Arr_circle_segment_traits_2 is a model of the ArrangementTraits_2 concept and can be used to construct and maintain arrangements of circular arcs and line segments. More...
class	Arr_circular_arc_traits_2
	This class is a traits class for CGAL arrangements, built on top of a model of concept CircularKernel. More...
class	Arr_circular_line_arc_traits_2
	This class is a traits class for CGAL arrangements, built on top of a model of concept CircularKernel. More...
class	Arr_conic_traits_2
	The class Arr_conic_traits_2 is a model of the ArrangementTraits_2 concept and can be used to construct and maintain arrangements of bounded segments of algebraic curves of degree \( 2\) at most, also known as conic curves. More...
class	Arr_consolidated_curve_data_traits_2
	The class Arr_consolidated_curve_data_traits_2 is a model of the concept ArrangementTraits_2, and serves as a decorator class that enables the extension of the curve type defined by the Traits parameter. More...
class	Arr_curve_data_traits_2
	The class Arr_curve_data_traits_2 is a model of the ArrangementTraits_2 concept and serves as a decorator class that allows the extension of the curves defined by the base traits-class (the Tr parameter), which serves as a geometric traits-class (a model of the ArrangementTraits_2 concept), with extraneous (non-geometric) data fields. More...
class	Arr_dcel_base
class	Arr_default_dcel
	The default Dcel class used by the Arrangement_2 class-template is parameterized by a traits class, which is a model of the ArrangementBasicTraits_2 concept. More...
class	Arr_default_overlay_traits
	An instance of Arr_default_overlay_traits should be used for overlaying two arrangements of type Arrangement that store no auxiliary data with their Dcel records, where the resulting overlaid arrangement stores no auxiliary Dcel data as well. More...
class	Arr_extended_dcel
	The Arr_extended_dcel class-template extends the topological-features of the Dcel namely the vertex, halfedge, and face types. More...
class	Arr_extended_dcel_text_formatter
	Arr_extended_dcel_text_formatter defines the format of an arrangement in an input or output stream (typically a file stream), thus enabling reading and writing an Arrangement instance using a simple text format. More...
class	Arr_extended_face
	The Arr_extended_face class-template extends the face topological-features of the Dcel. More...
class	Arr_extended_halfedge
	The Arr_extended_halfedge class-template extends the halfedge topological-features of the Dcel. More...
class	Arr_extended_vertex
	The Arr_extended_vertex class-template extends the vertex topological-features of the Dcel. More...
class	Arr_face_extended_dcel
	The Arr_face_extended_dcel class-template extends the Dcel face-records, making it possible to store extra (non-geometric) data with the arrangement faces. More...
class	Arr_face_extended_text_formatter
	Arr_face_extended_text_formatter defines the format of an arrangement in an input or output stream (typically a file stream), thus enabling reading and writing an Arrangement instance using a simple text format. More...
class	Arr_face_index_map
	Arr_face_index_map maintains a mapping of face handles of an attached arrangement object to indices (of type unsigned int). More...
class	Arr_face_overlay_traits
	An instance of Arr_face_overlay_traits should be used for overlaying two arrangements of types Arr_A and Arr_B, which are instantiated using the same geometric traits-class and with the Dcel classes Dcel_A and Dcel_B respectively, in order to store their overlay in an arrangement of type Arr_R, which is instantiated using a third Dcel class Dcel_R. More...
class	Arr_landmarks_point_location
class	Arr_line_arc_traits_2
	This class is a traits class for CGAL arrangements, built on top of a model of concept CircularKernel. More...
class	Arr_linear_traits_2
	The traits class Arr_linear_traits_2 is a model of the ArrangementTraits_2 concept, which enables the construction and maintenance of arrangements of linear objects. More...
class	Arr_naive_point_location
class	Arr_non_caching_segment_basic_traits_2
	The traits class Arr_non_caching_segment_basic_traits_2 is a model of the ArrangementTraits_2 concept that allow the construction and maintenance of arrangements of sets of pairwise interior-disjoint line segments. More...
class	Arr_non_caching_segment_traits_2
	The traits class Arr_non_caching_segment_traits_2 is a model of the ArrangementTraits_2 concept that allows the construction and maintenance of arrangements of line segments. More...
struct	Arr_oblivious_side_tag
	The categories Left_side_category, Right_side_category, Bottom_side_category, and Top_side_category, nested in any model of the ArrangementBasicTraits_2, must be convertible to Arr_oblivious_side_tag. More...
class	Arr_observer
struct	Arr_open_side_tag
	All the four types Left_side_category, Right_side_category, Bottom_side_category, and Top_side_category nested in any model of the concept ArrangementOpenBoundaryTraits must be convertible to Arr_open_side_tag, which derives from Arr_oblivious_side_tag. More...
struct	Arr_point_location_result
	A unary metafunction to determine the return type of a point-location or vertical ray-shoot query. More...
class	Arr_polycurve_traits_2
	Note: The SubcurveTraits_2 can comprise of Line_segments, Conic_arcs, Circular_arc, Bezier_curves, or Linear_curves. More...
class	Arr_polyline_traits_2
	The traits class Arr_polyline_traits_2 handles piecewise linear curves, commonly referred to as polylines. More...
class	Arr_rational_function_traits_2
	The traits class Arr_rational_function_traits_2 is a model of the ArrangementTraits_2 concept. More...
class	Arr_segment_traits_2
	The traits class Arr_segment_traits_2 is a model of the ArrangementTraits_2 concept, which allows the construction and maintenance of arrangements of line segments. More...
class	Arr_text_formatter
	Arr_text_formatter defines the format of an arrangement in an input or output stream (typically a file stream), thus enabling reading and writing an Arrangement instance using a simple text format. More...
class	Arr_trapezoid_ric_point_location
class	Arr_vertex_index_map
	Arr_vertex_index_map maintains a mapping of vertex handles of an attached arrangement object to indices (of type unsigned int). More...
class	Arr_walk_along_line_point_location
class	Arr_with_history_text_formatter
	Arr_with_history_text_formatter defines the format of an arrangement in an input or output stream (typically a file stream), thus enabling reading and writing an arrangement-with-history instance using a simple text format. More...
class	Arrangement_2
class	Arrangement_with_history_2
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
struct	Cast_function_object
class	CC_safe_handle
class	Circle_2
class	Circle_3
class	Circular_arc_2
class	Circular_arc_point_2
struct	Circular_kernel_2
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
struct	Dereference
struct	Dimension_tag
class	Direction_2
class	Direction_3
class	Dispatch_or_drop_output_iterator
class	Dispatch_output_iterator
class	Dual
struct	Dynamic_dimension_tag
struct	dynamic_edge_property_t
struct	dynamic_face_property_t
struct	dynamic_halfedge_property_t
struct	dynamic_vertex_property_t
struct	Emptyset_iterator
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	Face_around_face_circulator
class	Face_around_face_iterator
class	Face_around_target_circulator
class	Face_around_target_iterator
struct	Face_filtered_graph
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	General_polygon_2
class	General_polygon_set_2
struct	Get_address
class	Gmpfi
class	Gmpfr
class	Gmpq
class	Gmpz
class	Gmpzf
class	Gps_circle_segment_traits_2
class	Gps_default_dcel
class	Gps_face_base
class	Gps_halfedge_base
class	Gps_segment_traits_2
class	Gps_traits_2
struct	graph_has_property
struct	Graph_with_descriptor_with_graph
struct	Graph_with_descriptor_with_graph_property_map
class	Halfedge_around_face_circulator
class	Halfedge_around_face_iterator
class	Halfedge_around_source_circulator
class	Halfedge_around_source_iterator
class	Halfedge_around_target_circulator
class	Halfedge_around_target_iterator
class	HalfedgeDS_face_max_base_with_id
class	HalfedgeDS_halfedge_max_base_with_id
class	HalfedgeDS_vertex_max_base_with_id
struct	Homogeneous
class	Homogeneous_converter
struct	Identity
class	Identity_transformation
class	In_place_list
class	In_place_list_base
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_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
struct	Kernel_traits
class	Lazy_exact_nt
class	Line_2
class	Line_3
class	Line_arc_2
struct	Linear_cell_complex_bgl_min_items
struct	Linear_cell_complex_for_bgl_combinatorial_map_helper
struct	Location_policy
struct	Max
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	Ostream_iterator
class	Output_rep
struct	Parallel_if_available_tag
struct	Parallel_tag
class	Plane_3
class	Point_2
class	Point_3
class	Polygon_set_2
class	Polyhedron_items_with_id_3
class	Polynomial_1_2
class	Polynomial_for_circles_2_2
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	Real_embeddable_traits
class	Reflection
class	Root_for_circles_2_2
struct	Root_of_traits
class	Rotation
class	Scaling
class	Seam_mesh
class	Segment_2
class	Segment_3
struct	Sequential_tag
class	Set_ieee_double_precision
struct	Simple_cartesian
struct	Simple_homogeneous
class	Sixtuple
class	Spatial_lock_grid_3
class	Sphere_3
class	Sqrt_extension
class	Tetrahedron_3
class	Threetuple
class	Translation
class	Triangle_2
class	Triangle_3
class	Triangulation_face_base_with_id_2
class	Triangulation_vertex_base_with_id_2
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	Verbose_ostream
class	Vertex_around_face_iterator
class	Vertex_around_target_circulator
class	Vertex_around_target_iterator
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
typedef Box_parameter_space_2	Arr_parameter_space

Enumerations
enum	Angle
enum	Bounded_side
enum	Comparison_result
enum	Sign
enum	Oriented_side
enum	Box_parameter_space_2
enum	Failure_behaviour
enum	vertex_index_t
enum	halfedge_index_t
enum	edge_index_t
enum	face_index_t
enum	vertex_point_t
enum	Arr_curve_end { ARR_MIN_END, ARR_MAX_END }
	The enumeration Arr_curve_end is used to indicate one of the two ends of an \( x\)-monotone curve. More...
enum	Arr_halfedge_direction { ARR_LEFT_TO_RIGHT, ARR_RIGHT_TO_LEFT }
	The enumeration Arr_halfedge_direction is defined by CGAL::Arrangement_2::Halfedge to specify the direction of the halfedge. More...

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)
bool	do_intersect (Plane_3< Kernel > obj1, Plane_3< Kernel > obj2, Plane_3< Kernel > obj3)
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)
void	complement (const Polygon_2< Kernel, Container > &pgn, Polygon_with_holes_2< Kernel, Container > &res)
void	complement (const General_polygon_2< Traits > &pgn, General_polygon_with_holes_2< Traits > &res)
OutputIterator	complement (const Polygon_with_holes_2< Kernel, Container > &pgn, OutputIterator oi)
OutputIterator	complement (const General_polygon_with_holes_2< General_polygon_2< Traits > > &pgn, OutputIterator oi)
OutputIterator	difference (const Polygon_2< Kernel, Container > &p1, const Polygon_2< Kernel, Container > &p2, OutputIterator oi)
OutputIterator	difference (const Polygon_2< Kernel, Container > &p1, const Polygon_with_holes_2< Kernel, Container > &p2, OutputIterator oi)
OutputIterator	difference (const Polygon_with_holes_2< Kernel, Container > &p1, const Polygon_2< Kernel, Container > &p2, OutputIterator oi)
OutputIterator	difference (const Polygon_with_holes_2< Kernel, Container > &p1, const Polygon_with_holes_2< Kernel, Container > &p2, OutputIterator oi)
OutputIterator	difference (const General_polygon_2< Traits > &p1, const General_polygon_2< Traits > &p2, OutputIterator oi)
OutputIterator	difference (const General_polygon_with_holes_2< General_polygon_2< Traits > > &p1, const General_polygon_2< Traits > &p2, OutputIterator oi)
OutputIterator	difference (const General_polygon_2< Traits > &p1, const General_polygon_with_holes_2< General_polygon_2< Traits > > &p2, OutputIterator oi)
OutputIterator	difference (const General_polygon_with_holes_2< Polygon > &p1, const General_polygon_with_holes_2< Polygon > &p2, OutputIterator oi)
bool	do_intersect (const Polygon_2< Kernel, Container > &p1, const Polygon_2< Kernel, Container > &p2)
bool	do_intersect (const Polygon_2< Kernel, Container > &p1, const Polygon_with_holes_2< Kernel, Container > &p2)
bool	do_intersect (const Polygon_with_holes_2< Kernel, Container > &p1, const Polygon_2< Kernel, Container > &p2)
bool	do_intersect (const Polygon_with_holes_2< Kernel, Container > &p1, const Polygon_with_holes_2< Kernel, Container > &p2)
bool	do_intersect (const General_polygon_2< Traits > &p1, const General_polygon_2< Traits > &p2)
bool	do_intersect (const General_polygon_2< Traits > &p1, const General_polygon_with_holes_2< General_polygon_2< Traits > > &p2)
bool	do_intersect (const General_polygon_with_holes_2< General_polygon_2< Traits > > &p1, const General_polygon_2< Traits > &p2)
bool	do_intersect (const General_polygon_with_holes_2< Polygon > &p1, const General_polygon_with_holes_2< Polygon > &p2)
bool	do_intersect (InputIterator begin, InputIterator end)
bool	do_intersect (InputIterator1 pgn_begin1, InputIterator1 pgn_end1, InputIterator2 pgn_begin2, InputIterator2 pgn_end2)
OutputIterator	intersection (const Polygon_2< Kernel, Container > &p1, const Polygon_2< Kernel, Container > &p2, OutputIterator oi)
OutputIterator	intersection (const Polygon_2< Kernel, Container > &p1, const Polygon_with_holes_2< Kernel, Container > &p2, OutputIterator oi)
OutputIterator	intersection (const Polygon_with_holes_2< Kernel, Container > &p1, const Polygon_2< Kernel, Container > &p2, OutputIterator oi)
OutputIterator	intersection (const Polygon_with_holes_2< Kernel, Container > &p1, const Polygon_with_holes_2< Kernel, Container > &p2, OutputIterator oi)
OutputIterator	intersection (const General_polygon_2< Traits > &p1, const General_polygon_2< Traits > &p2, OutputIterator oi)
OutputIterator	intersection (const General_polygon_with_holes_2< General_polygon_2< Traits > > &p1, const General_polygon_2< Traits > &p2, OutputIterator oi)
OutputIterator	intersection (const General_polygon_2< Traits > &p1, const General_polygon_with_holes_2< General_polygon_2< Traits > > &p2, OutputIterator oi)
OutputIterator	intersection (const General_polygon_with_holes_2< Polygon > &p1, const General_polygon_with_holes_2< Polygon > &p2, OutputIterator oi)
OutputIterator	intersection (InputIterator begin, InputIterator end, OutputIterator oi)
OutputIterator	intersection (InputIterator1 pgn_begin1, InputIterator1 pgn_end1, InputIterator2 pgn_begin2, InputIterator2 pgn_end2, OutputIterator oi)
bool	join (const Polygon_2< Kernel, Container > &p1, const Polygon_2< Kernel, Container > &p2, General_polygon_with_holes_2< Polygon_2< Kernel, Container > > &res)
bool	join (const Polygon_2< Kernel, Container > &p1, const Polygon_with_holes_2< Kernel, Container > &p2, General_polygon_with_holes_2< Polygon_2< Kernel, Container > > &res)
bool	join (const Polygon_with_holes_2< Kernel, Container > &p2, const Polygon_2< Kernel, Container > &p1, General_polygon_with_holes_2< Polygon_2< Kernel, Container > > &res)
bool	join (const Polygon_with_holes_2< Kernel, Container > &p2, const Polygon_with_holes_2< Kernel, Container > &p1, General_polygon_with_holes_2< Polygon_2< Kernel, Container > > &res)
bool	join (const General_polygon_2< Traits > &p1, const General_polygon_2< Traits > &p2, General_polygon_with_holes_2< General_polygon_2< Traits > > &res)
bool	join (const General_polygon_2< Traits > &p1, const General_polygon_with_holes_2< General_polygon_2< Traits > > &p2, General_polygon_with_holes_2< General_polygon_2< Traits > > &res)
bool	join (const General_polygon_with_holes_2< General_polygon_2< Traits > > &p2, const General_polygon_2< Traits > &p1, General_polygon_with_holes_2< General_polygon_2< Traits > > &res)
bool	join (const General_polygon_with_holes_2< Polygon > &p1, const General_polygon_with_holes_2< Polygon > &p2, Traits::Polygon_with_holes_2 &res)
OutputIterator	join (InputIterator begin, InputIterator end, OutputIterator oi)
OutputIterator	join (InputIterator1 pgn_begin1, InputIterator1 pgn_end1, InputIterator2 pgn_begin2, InputIterator2 pgn_end2, OutputIterator oi)
Oriented_side	oriented_side (const Polygon_2< Kernel, Container > &p1, const Polygon_2< Kernel, Container > &p2)
Oriented_side	oriented_side (const Polygon_2< Kernel, Container > &p1, const Polygon_with_holes_2< Kernel, Container > &p2)
Oriented_side	oriented_side (const Polygon_with_holes_2< Kernel, Container > &p1, const Polygon_2< Kernel, Container > &p2)
Oriented_side	oriented_side (const Polygon_with_holes_2< Kernel, Container > &p1, const Polygon_with_holes_2< Kernel, Container > &p2)
Oriented_side	oriented_side (const General_polygon_2< Traits > &p1, const General_polygon_2< Traits > &p2)
Oriented_side	oriented_side (const General_polygon_2< Traits > &p1, const General_polygon_with_holes_2< General_polygon_2< Traits > > &p2)
Oriented_side	oriented_side (const General_polygon_with_holes_2< General_polygon_2< Traits > > &p1, const General_polygon_2< Traits > &p2)
Oriented_side	oriented_side (const General_polygon_with_holes_2< Polygon > &p1, const General_polygon_with_holes_2< Polygon > &p2)
OutputIterator	symmetric_difference (const Type1 &p1, const Type2 &p2, OutputIterator oi)
OutputIterator	symmetric_difference (const Polygon_2< Kernel, Container > &p1, const Polygon_2< Kernel, Container > &p2, OutputIterator oi)
OutputIterator	symmetric_difference (const Polygon_2< Kernel, Container > &p1, const Polygon_with_holes_2< Kernel, Container > &p2, OutputIterator oi)
OutputIterator	symmetric_difference (const Polygon_with_holes_2< Kernel, Container > &p1, const Polygon_2< Kernel, Container > &p2, OutputIterator oi)
OutputIterator	symmetric_difference (const Polygon_with_holes_2< Kernel, Container > &p1, const Polygon_with_holes_2< Kernel, Container > &p2, OutputIterator oi)
OutputIterator	symmetric_difference (const General_polygon_2< Traits > &p1, const General_polygon_2< Traits > &p2, OutputIterator oi)
OutputIterator	symmetric_difference (const General_polygon_with_holes_2< General_polygon_2< Traits > > &p1, const General_polygon_2< Traits > &p2, OutputIterator oi)
OutputIterator	symmetric_difference (const General_polygon_2< Traits > &p1, const General_polygon_with_holes_2< General_polygon_2< Traits > > &p2, OutputIterator oi)
OutputIterator	symmetric_difference (const General_polygon_with_holes_2< Polygon > &p1, const General_polygon_with_holes_2< Polygon > &p2, OutputIterator oi)
OutputIterator	symmetric_difference (InputIterator begin, InputIterator end, OutputIterator oi)
OutputIterator	symmetric_difference (InputIterator1 pgn_begin1, InputIterator1 pgn_end1, InputIterator2 pgn_begin2, InputIterator2 pgn_end2, OutputIterator oi)
OutputIterator	connect_holes (const Polygon_with_holes_2< Kernel, Container > &pwh, OutputIterator oi)
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)
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)
void	set_halfedgeds_items_id (Polyhedron_with_id &P)
void	set_triangulation_ids (Triangulation &tr)
Iterator_range< Halfedge_around_source_iterator< Graph > >	halfedges_around_source (typename boost::graph_traits< Graph >::halfedge_descriptor h, const Graph &g)
Iterator_range< Halfedge_around_source_iterator< Graph > >	halfedges_around_source (typename boost::graph_traits< Graph >::vertex_descriptor v, const Graph &g)
Iterator_range< Halfedge_around_target_iterator< Graph > >	halfedges_around_target (typename boost::graph_traits< Graph >::halfedge_descriptor h, const Graph &g)
Iterator_range< Halfedge_around_target_iterator< Graph > >	halfedges_around_target (typename boost::graph_traits< Graph >::vertex_descriptor v, const Graph &g)
Iterator_range< Halfedge_around_face_iterator< Graph > >	halfedges_around_face (typename boost::graph_traits< Graph >::halfedge_descriptor h, const Graph &g)
Iterator_range< Face_around_target_iterator< Graph > >	faces_around_target (typename boost::graph_traits< Graph >::halfedge_descriptor h, const Graph &g)
Iterator_range< Face_around_face_iterator< Graph > >	faces_around_face (typename boost::graph_traits< Graph >::halfedge_descriptor h, const Graph &g)
Iterator_range< Vertex_around_target_iterator< Graph > >	vertices_around_target (typename boost::graph_traits< Graph >::halfedge_descriptor h, const Graph &g)
Iterator_range< Vertex_around_face_iterator< Graph > >	vertices_around_face (typename boost::graph_traits< Graph >::halfedge_descriptor h, const Graph &g)
bool	is_border (typename boost::graph_traits< FaceGraph >::halfedge_descriptor hd, const FaceGraph &g)
bool	is_border_edge (typename boost::graph_traits< FaceGraph >::halfedge_descriptor hd, const FaceGraph &g)
bool	is_border (typename boost::graph_traits< FaceGraph >::edge_descriptor ed, const FaceGraph &g)
boost::optional< typename boost::graph_traits< FaceGraph >::halfedge_descriptor >	is_border (typename boost::graph_traits< FaceGraph >::vertex_descriptor vd, const FaceGraph &g)
bool	is_closed (const FaceGraph &g)
bool	is_bivalent (typename boost::graph_traits< FaceGraph >::halfedge_descriptor hd, const FaceGraph &g)
bool	is_bivalent_mesh (const FaceGraph &g)
bool	is_trivalent (typename boost::graph_traits< FaceGraph >::halfedge_descriptor hd, const FaceGraph &g)
bool	is_trivalent_mesh (const FaceGraph &g)
bool	is_isolated_triangle (typename boost::graph_traits< FaceGraph >::halfedge_descriptor hd, const FaceGraph &g)
bool	is_triangle (typename boost::graph_traits< FaceGraph >::halfedge_descriptor hd, const FaceGraph &g)
bool	is_triangle_mesh (const FaceGraph &g)
bool	is_isolated_quad (typename boost::graph_traits< FaceGraph >::halfedge_descriptor hd, const FaceGraph &g)
bool	is_quad (typename boost::graph_traits< FaceGraph >::halfedge_descriptor hd, const FaceGraph &g)
bool	is_quad_mesh (const FaceGraph &g)
bool	is_tetrahedron (typename boost::graph_traits< FaceGraph >::halfedge_descriptor hd, const FaceGraph &g)
bool	is_valid_halfedge_graph (const Graph &g, bool verb=false)
bool	is_valid_face_graph (const Graph &g, bool verb=false)
bool	is_valid_polygon_mesh (const Mesh &g, bool verb=false)
bool	is_hexahedron (typename boost::graph_traits< FaceGraph >::halfedge_descriptor hd, const FaceGraph &g)
void	clear (FaceGraph &g)
bool	is_empty (const FaceGraph &g)
int	vertex_index_in_face (const typename boost::graph_traits< Graph >::vertex_descriptor vd, const typename boost::graph_traits< Graph >::face_descriptor fd, const Graph &g)
int	halfedge_index_in_face (typename boost::graph_traits< Graph >::halfedge_descriptor he, const Graph &g)
boost::graph_traits< Graph >::halfedge_descriptor	make_triangle (const P &p0, const P &p1, const P &p2, Graph &g)
boost::graph_traits< Graph >::halfedge_descriptor	make_quad (const P &p0, const P &p1, const P &p2, const P &p3, Graph &g)
boost::graph_traits< Graph >::halfedge_descriptor	make_hexahedron (const P &p0, const P &p1, const P &p2, const P &p3, const P &p4, const P &p5, const P &p6, const P &p7, Graph &g)
boost::graph_traits< Graph >::halfedge_descriptor	make_tetrahedron (const P &p0, const P &p1, const P &p2, const P &p3, Graph &g)
boost::graph_traits< Graph >::halfedge_descriptor	make_regular_prism (typename boost::graph_traits< Graph >::vertices_size_type nb_vertices, Graph &g, const P &base_center=P(0, 0, 0), typename CGAL::Kernel_traits< P >::Kernel::FT height=1.0, typename CGAL::Kernel_traits< P >::Kernel::FT radius=1.0, bool is_closed=true)
boost::graph_traits< Graph >::halfedge_descriptor	make_pyramid (typename boost::graph_traits< Graph >::vertices_size_type nb_vertices, Graph &g, const P &base_center=P(0, 0, 0), typename CGAL::Kernel_traits< P >::Kernel::FT height=1.0, typename CGAL::Kernel_traits< P >::Kernel::FT radius=1.0, bool is_closed=true)
boost::graph_traits< Graph >::halfedge_descriptor	make_icosahedron (Graph &g, const P &center=P(0, 0, 0), typename CGAL::Kernel_traits< P >::Kernel::FT radius=1.0)
boost::graph_traits< Graph >::halfedge_descriptor	make_grid (typename boost::graph_traits< Graph >::vertices_size_type i, typename boost::graph_traits< Graph >::vertices_size_type j, Graph &g, const CoordinateFunctor &calculator, bool triangulated=false)
OutputIterator	expand_face_selection (const FaceRange &selection, FaceGraph &fg, unsigned int k, IsFaceSelectedPMap is_selected, OutputIterator out)
OutputIterator	reduce_face_selection (const FaceRange &selection, FaceGraph &fg, unsigned int k, IsFaceSelectedPMap is_selected, OutputIterator out)
void	regularize_face_selection_borders (TriangleMesh &mesh, IsSelectedMap is_selected, double weight, const NamedParameters &np)
OutputIterator	select_incident_faces (const HalfedgeRange &hedges, FaceGraph &fg, OutputIterator out)
OutputIterator	expand_edge_selection (const EdgeRange &selection, HalfedgeGraph &fg, unsigned int k, IsEdgeSelectedPMap is_selected, OutputIterator out)
OutputIterator	reduce_edge_selection (const EdgeRange &selection, HalfedgeGraph &fg, unsigned int k, IsEdgeSelectedPMap is_selected, OutputIterator out)
OutputIterator	expand_vertex_selection (const VertexRange &selection, HalfedgeGraph &fg, unsigned int k, IsVertexSelectedPMap is_selected, OutputIterator out)
OutputIterator	reduce_vertex_selection (const VertexRange &selection, HalfedgeGraph &fg, unsigned int k, IsVertexSelectedPMap is_selected, OutputIterator out)
void	expand_face_selection_for_removal (const FaceRange &faces_to_be_deleted, TriangleMesh &tm, IsSelectedMap is_selected)
void	split_graph_into_polylines (const Graph &graph, Visitor &polyline_visitor, IsTerminal is_terminal)
void	copy_face_graph (const SourceMesh &sm, TargetMesh &tm, const NamedParameters1 &np1, const NamedParameters2 &np2)
bool	write_wrl (std::ostream &os, const FaceGraph &g, const NamedParameters &np)
bool	write_off (std::ostream &os, const FaceGraph &g, const NamedParameters &np)
bool	write_off (const char *fname, const FaceGraph &g, const NamedParameters &np)
bool	read_off (std::istream &is, FaceGraph &g, NamedParameters np)
bool	read_off (const char *fname, FaceGraph &g, NamedParameters np)
void	write_vtp (std::ostream &os, const TriangleMesh &mesh, const NamedParameters &np)
double	alpha_expansion_graphcut (const InputGraph &input_graph, EdgeCostMap edge_cost_map, VertexLabelCostMap vertex_label_cost_map, VertexLabelMap vertex_label_map, const NamedParameters &np)
template<typename Traits , typename Dcel , typename InputIterator , typename OutputIterator >
OutputIterator	locate (const Arrangement_2< Traits, Dcel > &arr, InputIterator points_begin, InputIterator points_end, OutputIterator oi)
	Performs a batched point-location operation on a given arrangement. More...
template<class GeomTraitsA , class GeomTraitsB , class GeomTraitsRes , class TopTraitsA , class TopTraitsB , class TopTraitsRes , class OverlayTraits >
void	overlay (const Arrangement_2< GeomTraitsA, TopTraitsA > &arr1, const Arrangement_2< GeomTraitsB, TopTraitsB > &arr2, Arrangement_2< GeomTraitsRes, TopTraitsRes > &arr_res, OverlayTraits &ovl_tr)
	Computes the overlay of two arrangements arr1 and arr2, and sets the output arrangement res to represent the overlaid arrangement. More...
template<typename Traits , typename Dcel1 , typename Dcel2 , typename ResDcel , typename OverlayTraits >
void	overlay (const Arrangement_with_history_2< Traits, Dcel1 > &arr1, const Arrangement_with_history_2< Traits, Dcel2 > &arr2, Arrangement_with_history_2< Traits, ResDcel > &res, OverlayTraits &ovl_tr)
	Computes the overlay of two arrangements with history arr1 and arr2, and sets the output arrangement with history res to represent the overlaid arrangement. More...
template<typename Traits , typename Dcel , typename OutputIterator >
OutputIterator	decompose (const Arrangement_2< Traits, Dcel > &arr, OutputIterator oi)
	Produces the symbolic vertical decomposition of a given arrangement, performing a batched vertical ray-shooting query from all arrangement vertices, such that every vertex is associated with a pair of objects, one corresponds to the arrangement feature that lies below it, and the other corresponds to the feature that lies above it. More...
template<class GeomTraits , class TopTraits , class Curve , class PointLocation >
bool	do_intersect (Arrangement_on_surface_2< GeomTraits, TopTraits > &arr, const Curve &c, const PointLocation &pl)
	Checks if a given curve or \( x\)-monotone curve intersects an existing arrangement's edges or vertices. More...
template<typename Traits , typename Dcel , typename PointLocation >
Arrangement_2< Traits, Dcel >::Halfedge_handle	insert_non_intersecting_curve (Arrangement_2< Traits, Dcel > &arr, const typename Traits::X_monotone_curve_2 &xc, const PointLocation &pl=walk_pl)
	Inserts a given \( x\)-monotone curve into a given arrangement, where the interior of the given curve is disjoint from all existing arrangement vertices and edges. More...
template<typename Traits , typename Dcel , InputIterator >
void	insert_non_intersecting_curves (Arrangement_2< Traits, Dcel > &arr, InputIterator first, InputIterator last)
	Inserts a set of \( x\)-monotone curves in a given range into a given arrangement. More...
template<typename Traits , typename Dcel , typename PointLocation >
Arrangement_2< Traits, Dcel >::Vertex_handle	insert_point (Arrangement_2< Traits, Dcel > &arr, const typename Traits::Point_2 &p, const PointLocation &pl=walk_pl)
	Inserts a given point into a given arrangement. More...
template<typename Traits , typename Dcel >
bool	is_valid (const Arrangement_2< Traits, Dcel > &arr)
	Checks the validity of a given arrangement. More...
template<typename Traits , typename Dcel >
Arrangement_2< Traits, Dcel >::Face_handle	remove_edge (Arrangement_2< Traits, Dcel > &arr, typename Arrangement_2< Traits, Dcel >::Halfedge_handle e)
	Removes an edge given by one of the twin halfedges that forms it, from a given arrangement. More...
template<typename Traits , typename Dcel >
bool	remove_vertex (Arrangement_2< Traits, Dcel > &arr, typename Arrangement_2< Traits, Dcel >::Vertex_handle v)
	Attempts to removed a given vertex from a given arrangement. More...
template<class GeomTraits , class TopTraits , class OutputIterator , class PointLocation >
OutputIterator	zone (Arrangement_on_surface_2< GeomTraits, TopTraits > &arr, const typename GeomTraits::X_monotone_curve_2 &c, OutputIterator oi, const PointLocation &pl)
	Compute the zone of the given \( x\)-monotone curve in the existing arrangement. More...
template<typename Traits , typename Dcel , typename PointLocation >
Arrangement_with_history_2< Traits, Dcel >::Curve_handle	insert (Arrangement_with_history_2< Traits, Dcel > &arr, const typename Traits::Curve_2 &c, const PointLocation &pl=walk_pl)
	Inserts the given curve c into the arrangement with history arr, and returns a handle to the inserted curve. More...
template<class Traits , class Dcel , InputIterator >
void	insert (Arrangement_with_history_2< Traits, Dcel > &arr, InputIterator first, InputIterator last)
	Aggregately inserts the curves in the range [first,last) into the arrangement with history arr using the sweep-line framework.
template<class Traits , class Dcel >
Size	remove_curve (Arrangement_with_history_2< Traits, Dcel > &arr, typename Arrangement_with_history_2< Traits, Dcel >::Curve_handle ch)
	Removes a given curve from a given arrangement. More...
template<typename Traits , typename Dcel1 , typename Dcel2 , typename ResDcel >
void	overlay (const Arrangement_with_history_2< Traits, Dcel1 > &arr1, const Arrangement_with_history_2< Traits, Dcel2 > &arr2, Arrangement_with_history_2< Traits, ResDcel > &res)
template<typename Traits , typename Dcel , typename Formatter >
std::istream &	read (Arrangement_2< Traits, Dcel > &arr, std::istream &is, Formatter &formatter)
	Reads the arrangement object arr from the given input stream is using a specific input format defined by "formatter".
template<typename Traits , typename Dcel , typename Formatter >
std::ostream &	write (const Arrangement_2< Traits, Dcel > &arr, std::ostream &os, Formatter &formatter)
	Writes the arrangement object arr into the given output stream os using a specific output format defined by formatter.
template<typename Traits , typename Dcel >
std::ostream &	operator<< (std::ostream &os, const Arrangement_2< Traits, Dcel > &arr)
	Inserts the arrangement object arr into the output stream os using the output format defined by the Arr_text_formatter class. More...
template<class Traits , class Dcel >
std::istream &	operator>> (std::istream &is, Arrangement_2< Traits, Dcel > &arr)
	Extracts an arrangement from a given input stream using the input format defined by the Arr_text_formatter class - that is, only the basic geometric and topological features of the arrangement are read and no auxiliary data is attached to the Dcel features.
template<typename Traits , typename Dcel , typename WithHistoryFormatter >
std::istream &	read (Arrangement_with_history_2< Traits, Dcel > &arr, std::istream &is, WithHistoryFormatter &formatter)
	Reads the arrangement-with-history object arr from the given input stream is using a specific input format defined by "formatter".
template<typename Traits , typename Dcel , typename WithHistoryFormatter >
std::ostream &	write (const Arrangement_with_history_2< Traits, Dcel > &arr, std::ostream &os, WithHistoryFormatter &formatter)
	Writes the arrangement-with-history object arr into the given output stream os using a specific output format defined by formatter.
template<typename Traits , typename Dcel >
std::ostream &	operator<< (std::ostream &os, const Arrangement_with_history_2< Traits, Dcel > &arr)
	Inserts the arrangement-with-history object arr into the output stream os using the output format defined by the Arr_with_history_text_formatter class. More...
template<class Traits , class Dcel >
std::istream &	operator>> (std::istream &is, Arrangement_with_history_2< Traits, Dcel > &arr)
	Extracts an arrangement-with-history from a given input stream using the default input format.

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
const Arr_parameter_space	ARR_LEFT_BOUNDARY = LEFT_BOUNDARY
const Arr_parameter_space	ARR_RIGHT_BOUNDARY = RIGHT_BOUNDARY
const Arr_parameter_space	ARR_BOTTOM_BOUNDARY = BOTTOM_BOUNDARY
const Arr_parameter_space	ARR_TOP_BOUNDARY = TOP_BOUNDARY
const Arr_parameter_space	ARR_INTERIOR = INTERIOR
template<class Traits , class Dcel , class Curve , class PointLocation >
void	insert (Arrangement_2< Traits, Dcel > &arr, const Curve &c, const PointLocation &pl=walk_pl)
	The function insert inserts one or more curves or \( x\)-monotone curves into a given arrangement, where no restrictions are imposed on the inserted curves. More...
template<typename Traits , typename Dcel >
void	insert (Arrangement_2< Traits, Dcel > &arr, const typename Traits::X_monotone_curve_2 &xc, const Object &obj)
	Inserts the \( x\)-monotone (only) curve xc into the arrangement arr. More...
template<class Traits , class Dcel , class InputIterator >
void	insert (Arrangement_2< Traits, Dcel > &arr, InputIterator first, InputIterator last)
	Aggregately inserts the curves or \( x\)-monotone curves in the range [first,last) into the arrangement arr using the sweep-line framework.