CGAL Namespace Reference

Namespaces
	cpp11
	cpp98
	OpenGR
	Point_set_processing_3
	pointmatcher
	Shape_detection
	Surface_mesher

Classes
class	Advancing_front_surface_reconstruction
class	Advancing_front_surface_reconstruction_cell_base_3
class	Advancing_front_surface_reconstruction_vertex_base_3
class	Aff_transformation_2
class	Aff_transformation_3
class	Algebraic_structure_traits
struct	Ambient_dimension
class	Approximate_min_ellipsoid_d
struct	Approximate_min_ellipsoid_d_traits_2
struct	Approximate_min_ellipsoid_d_traits_3
struct	Approximate_min_ellipsoid_d_traits_d
class	Bbox_2
class	Bbox_3
struct	Bidirectional_circulator_base
class	Bidirectional_circulator_ptrbase
struct	Bidirectional_circulator_tag
struct	Boolean_property_map
struct	Boolean_tag
struct	Cartesian
class	Cartesian_converter
struct	Cartesian_converter_property_map
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	Constant_property_map
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	Dereference_property_map
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
class	Eigen_diagonalize_traits
struct	Eigen_matrix
class	Eigen_solver_traits
class	Eigen_solver_traits< Eigen::BiCGSTAB< Eigen_sparse_matrix< double >::EigenType > >
struct	Eigen_sparse_matrix
struct	Eigen_sparse_symmetric_matrix
class	Eigen_svd
class	Eigen_vector
struct	Emptyset_iterator
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	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	First_of_pair_property_map
struct	Forward_circulator_base
class	Forward_circulator_ptrbase
struct	Forward_circulator_tag
class	Fourtuple
class	Fraction_traits
struct	Get_address
class	GLPK_mixed_integer_program_traits
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
struct	Identity_property_map
class	Identity_transformation
class	In_place_list
class	In_place_list_base
struct	Input_iterator_property_map
class	Input_rep
class	Insert_iterator
struct	Integral_domain_tag
struct	Integral_domain_without_division_tag
class	Inverse_index
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	Line_2
class	Line_3
struct	Linear_cell_complex_bgl_min_items
struct	Linear_cell_complex_for_bgl_combinatorial_map_helper
class	Linear_constraint
class	Linear_objective
struct	Location_policy
class	Min_annulus_d
class	Min_circle_2
class	Min_circle_2_traits_2
class	Min_ellipse_2
class	Min_ellipse_2_traits_2
struct	Min_quadrilateral_default_traits_2
class	Min_sphere_annulus_d_traits_2
class	Min_sphere_annulus_d_traits_3
class	Min_sphere_annulus_d_traits_d
class	Min_sphere_d
class	Min_sphere_of_points_d_traits_2
class	Min_sphere_of_points_d_traits_3
class	Min_sphere_of_points_d_traits_d
class	Min_sphere_of_spheres_d
class	Min_sphere_of_spheres_d_traits_2
class	Min_sphere_of_spheres_d_traits_3
class	Min_sphere_of_spheres_d_traits_d
class	Mixed_integer_program_traits
class	Monge_via_jet_fitting
class	Multiset
class	N_step_adaptor
struct	Nth_of_tuple_property_map
struct	Nth_of_tuple_property_map< N, std::tuple< T... > >
struct	Null_functor
struct	Null_tag
class	Null_vector
class	Object
class	Oneset_iterator
class	Origin
class	Ostream_iterator
class	Output_rep
struct	Parallel_if_available_tag
struct	Parallel_tag
class	Plane_3
struct	PLY_property
	Class used to identify a PLY property as a type and a name. More...
class	Point_2
class	Point_3
class	Point_set_with_structure
	A 3D point set with structure information based on a set of detected planes. More...
struct	Pointer_property_map
class	Poisson_reconstruction_function
class	Polyhedron_items_with_id_3
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	Property_map_to_unary_function
class	Quadruple
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	Ray_2
class	Ray_3
class	Real_embeddable_traits
class	Rectangular_p_center_default_traits_2
class	Reflection
class	Rotation
class	Scaling
class	SCIP_mixed_integer_program_traits
class	Seam_mesh
struct	Second_of_pair_property_map
class	Segment_2
class	Segment_3
struct	Sequential_tag
struct	Simple_cartesian
struct	Simple_homogeneous
class	Sixtuple
class	Spatial_lock_grid_3
class	Sphere_3
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	Variable
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)

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

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)
Index_property_map< Iter >	make_index_property_map (Iter first, Iter beyond)
Pointer_property_map< T >::type	make_property_map (T *pointer)
Pointer_property_map< T >::type	make_property_map (std::vector< T > &v)
Pointer_property_map< T >::const_type	make_property_map (const T *pointer)
Pointer_property_map< T >::const_type	make_property_map (const std::vector< T > &v)
Boolean_property_map< Set >	make_boolean_property_map (Set &set_)
Cartesian_converter_property_map< GeomObject, Vpm >	make_cartesian_converter_property_map (Vpm vpm)
OutputIterator	min_parallelogram_2 (ForwardIterator points_begin, ForwardIterator points_end, OutputIterator o, Traits &t=Default_traits)
OutputIterator	min_rectangle_2 (ForwardIterator points_begin, ForwardIterator points_end, OutputIterator o, Traits &t=Default_traits)
OutputIterator	min_strip_2 (ForwardIterator points_begin, ForwardIterator points_end, OutputIterator o, Traits &t=Default_traits)
OutputIterator	rectangular_p_center_2 (ForwardIterator f, ForwardIterator l, OutputIterator o, FT &r, int p, const Traits &t=Default_traits)
Deduced	barycenter (InputIterator first, InputIterator beyond)
Deduced	barycenter (InputIterator first, InputIterator beyond, const K &k)
Deduced	centroid (InputIterator first, InputIterator beyond, const Tag &t)
Deduced	centroid (InputIterator first, InputIterator beyond, const K &k, const Tag &t)
K::FT	linear_least_squares_fitting_2 (InputIterator first, InputIterator beyond, typename K::Line_2 &line, typename K::Point_2 &centroid, const Tag &tag, const K &k, const DiagonalizeTraits_ &diagonalize_traits)
Deduced	bounding_box (InputIterator first, InputIterator beyond)
Deduced	bounding_box (InputIterator first, InputIterator beyond, const K &k)
K::FT	linear_least_squares_fitting_3 (InputIterator first, InputIterator beyond, typename K::Line_3 &line, typename K::Point_3 &centroid, const Tag &tag, const K &k, const DiagonalizeTraits_ &diagonalize_traits)
K::FT	linear_least_squares_fitting_3 (InputIterator first, InputIterator beyond, typename K::Plane_3 &plane, typename K::Point_3 &centroid, const Tag &tag, const K &k, const DiagonalizeTraits_ &diagonalize_traits)
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 PointMap >
std::tuple< PointMap, typename Kernel_traits< typename PointMap::value_type >::Kernel::Construct_point_3, LAS_property::X, LAS_property::Y, LAS_property::Z >	make_las_point_reader (PointMap point_map)
	Generates a LAS property handler to read 3D points. More...
template<typename OutputIteratorValueType , typename OutputIterator , typename ... PropertyHandler>
bool	read_las_points_with_properties (std::istream &stream, OutputIterator output, PropertyHandler &&... properties)
	Reads user-selected points properties from a .las or .laz stream. More...
template<typename OutputIteratorValueType , typename OutputIterator , typename NamedParameters >
bool	read_las_points (std::istream &stream, OutputIterator output, const NamedParameters &np)
	Reads points (position only) from a .las or .laz stream. More...
template<typename OutputIteratorValueType , typename OutputIterator , typename NamedParameters >
bool	read_off_points (std::istream &stream, OutputIterator output, const NamedParameters &np)
	Reads points (positions + normals, if available) from a .off ASCII stream. More...
template<typename PointMap >
std::tuple< PointMap, typename Kernel_traits< typename PointMap::value_type >::Kernel::Construct_point_3, PLY_property< FT >, PLY_property< FT >, PLY_property< FT > >	make_ply_point_reader (PointMap point_map)
	Generates a PLY property handler to read 3D points. More...
template<typename VectorMap >
std::tuple< VectorMap, typename Kernel_traits< typename VectorMap::value_type >::Kernel::Construct_vector_3, PLY_property< FT >, PLY_property< FT >, PLY_property< FT > >	make_ply_normal_reader (VectorMap normal_map)
	Generates a PLY property handler to read 3D normal vectors. More...
template<typename OutputIteratorValueType , typename OutputIterator , typename ... PropertyHandler>
bool	read_ply_points_with_properties (std::istream &stream, OutputIterator output, PropertyHandler &&... properties)
	Reads user-selected points properties from a .ply stream (ASCII or binary). More...
template<typename OutputIteratorValueType , typename OutputIterator , typename NamedParameters >
bool	read_ply_points (std::istream &stream, OutputIterator output, const NamedParameters &np)
	Reads points (positions + normals, if available) from a .ply stream (ASCII or binary). More...
template<typename OutputIteratorValueType , typename OutputIterator , typename NamedParameters >
bool	read_xyz_points (std::istream &stream, OutputIterator output, const NamedParameters &np)
	Reads points (positions + normals, if available) from a .xyz ASCII stream. More...
template<typename PointMap >
std::tuple< PointMap, LAS_property::X, LAS_property::Y, LAS_property::Z >	make_las_point_writer (PointMap point_map)
	Generates a LAS property handler to write 3D points. More...
template<typename PointRange , typename PointMap , typename ... PropertyHandler>
bool	write_las_points_with_properties (std::ostream &stream, const PointRange &points, std::tuple< PointMap, LAS_property::X, LAS_property::Y, LAS_property::Z > point_property, PropertyHandler &&... properties)
	Saves the range of points with properties to a .las stream. More...
template<typename PointRange , typename NamedParameters >
bool	write_las_points (std::ostream &stream, const PointRange &points, const NamedParameters &np)
	Saves the range of points (positions only) to a .las stream. More...
template<typename PointRange , typename NamedParameters >
bool	write_off_points (std::ostream &stream, const PointRange &points, const NamedParameters &np)
	Saves the range of points (positions + normals, if available) to a .off ASCII stream. More...
template<typename PointMap >
std::tuple< PointMap, PLY_property< FT >, PLY_property< FT >, PLY_property< FT > >	make_ply_point_writer (PointMap point_map)
	Generates a PLY property handler to write 3D points. More...
template<typename VectorMap >
std::tuple< VectorMap, PLY_property< FT >, PLY_property< FT >, PLY_property< FT > >	make_ply_normal_writer (VectorMap normal_map)
	Generates a PLY property handler to write 3D normal vectors. More...
template<typename PointRange , typename ... PropertyHandler>
bool	write_ply_points_with_properties (std::ostream &stream, const PointRange &points, PropertyHandler &&... properties)
	Saves the range of points with properties to a .ply stream. More...
template<typename PointRange , typename NamedParameters >
bool	write_ply_points (std::ostream &stream, const PointRange &points, const NamedParameters &np)
	Saves the range of points (positions + normals, if available) to a .ply stream. More...
template<typename PointRange , typename NamedParameters >
bool	write_xyz_points (std::ostream &stream, const PointRange &points, const NamedParameters &np)
	Saves the range of points (positions + normals, if available) to a .xyz ASCII stream. More...
template<typename ConcurrencyTag , typename PointRange , typename NamedParameters >
double	bilateral_smooth_point_set (PointRange &points, unsigned int k, const NamedParameters &np)
	This function smooths an input point set by iteratively projecting each point onto the implicit surface patch fitted over its nearest neighbors. More...
template<typename PointRange , typename ClusterMap , typename NamedParameters >
std::size_t	cluster_point_set (PointRange &points, ClusterMap cluster_map, const NamedParameters &np)
	Identifies connected components on a nearest neighbor graph built using a query sphere of fixed radius centered on each point. More...
template<typename ConcurrencyTag , typename PointRange , typename CGAL_BGL_NP_TEMPLATE_PARAMETERS >
FT	compute_average_spacing (const PointRange &points, unsigned int k, const CGAL_BGL_NP_CLASS &np)
	Computes average spacing from k nearest neighbors. More...
template<typename ConcurrencyTag , typename PointRange , typename OutputIterator , typename NamedParameters >
OutputIterator	edge_aware_upsample_point_set (const PointRange &points, OutputIterator output, const NamedParameters &np)
	This method progressively upsamples the point set while approaching the edge singularities (detected by normal variation), which generates a denser point set from an input point set. More...
template<typename PointRange , typename QueryPointRange , typename OutputIterator , typename NamedParameters >
OutputIterator	estimate_local_k_neighbor_scales (const PointRange &points, const QueryPointRange &queries, OutputIterator output, const NamedParameters &np)
	Estimates the local scale in a K nearest neighbors sense on a set of user-defined query points. More...
template<typename PointRange , typename NamedParameters >
std::size_t	estimate_global_k_neighbor_scale (const PointRange &points, const NamedParameters &np)
	Estimates the global scale in a K nearest neighbors sense. More...
template<typename PointRange , typename QueryPointRange , typename OutputIterator , typename NamedParameters >
OutputIterator	estimate_local_range_scales (const PointRange &points, const QueryPointRange &queries, OutputIterator output, const NamedParameters &np)
	Estimates the local scale in a range sense on a set of user-defined query points. More...
template<typename PointRange , typename NamedParameters >
FT	estimate_global_range_scale (const PointRange &points, const NamedParameters &np)
	Estimates the global scale in a range sense. More...
template<typename PointRange , typename NamedParameters >
PointRange::iterator	grid_simplify_point_set (PointRange &points, double epsilon, const NamedParameters &np)
	Merges points which belong to the same cell of a grid of cell size = epsilon. More...
template<typename PointRange , typename NamedParameters >
PointRange::iterator	hierarchy_simplify_point_set (PointRange &points, const NamedParameters &np)
	Recursively split the point set in smaller clusters until the clusters have less than size elements and until their variation factor is below var_max. More...
template<typename ConcurrencyTag , typename PointRange , typename NamedParameters >
void	jet_estimate_normals (PointRange &points, unsigned int k, const NamedParameters &np)
	Estimates normal directions of the range of points using jet fitting on the nearest neighbors. More...
template<typename ConcurrencyTag , typename PointRange , typename NamedParameters >
void	jet_smooth_point_set (PointRange &points, unsigned int k, const NamedParameters &np)
	Smoothes the range of points using jet fitting on the nearest neighbors and reprojection onto the jet. More...
template<typename PointRange , typename NamedParameters >
PointRange::iterator	mst_orient_normals (PointRange &points, unsigned int k, const NamedParameters &np)
	Orients the normals of the range of points using the propagation of a seed orientation through a minimum spanning tree of the Riemannian graph. More...
template<typename ConcurrencyTag , typename PointRange , typename NamedParameters >
void	pca_estimate_normals (PointRange &points, unsigned int k, const NamedParameters &np)
	Estimates normal directions of the range of points by linear least squares fitting of a plane over the nearest neighbors. More...
template<typename PointRange >
PointRange::iterator	random_simplify_point_set (PointRange &points, double removed_percentage)
	Randomly deletes a user-specified fraction of the input points. More...
template<typename ConcurrencyTag , typename PointRange , typename NamedParameters >
PointRange::iterator	remove_outliers (PointRange &points, unsigned int k, const NamedParameters &np)
	Removes outliers: More...
template<typename PointRange , typename PlaneRange , typename OutputIterator , typename NamedParameters >
OutputIterator	structure_point_set (const PointRange &points, const PlaneRange &planes, OutputIterator output, double epsilon, const NamedParameters &np)
	This is an implementation of the Point Set Structuring algorithm. More...
template<class FT , class VCMTraits >
bool	vcm_is_on_feature_edge (std::array< FT, 6 > &cov, double threshold, VCMTraits)
	determines if a point is on a sharp feature edge from a point set for which the Voronoi covariance Measures have been computed. More...
template<class FT >
bool	vcm_is_on_feature_edge (std::array< FT, 6 > &cov, double threshold)
template<typename PointRange , typename NamedParameters >
void	compute_vcm (const PointRange &points, std::vector< std::array< double, 6 > > &ccov, double offset_radius, double convolution_radius, const NamedParameters &np)
	computes the Voronoi Covariance Measure (VCM) of a point cloud, a construction that can be used for normal estimation and sharp feature detection. More...
template<typename PointRange , typename NamedParameters >
void	vcm_estimate_normals (PointRange &points, double offset_radius, double convolution_radius, const NamedParameters &np)
	Estimates normal directions of the range of points using the Voronoi Covariance Measure with a radius for the convolution. More...
template<typename PointRange , typename NamedParameters >
void	vcm_estimate_normals (PointRange &points, double offset_radius, unsigned int k, const NamedParameters &np)
	Estimates normal directions of the range of points using the Voronoi Covariance Measure with a number of neighbors for the convolution. More...
template<typename ConcurrencyTag , typename PointRange , typename OutputIterator , typename NamedParameters >
OutputIterator	wlop_simplify_and_regularize_point_set (PointRange &points, OutputIterator output, const NamedParameters &np)
	This is an implementation of the Weighted Locally Optimal Projection (WLOP) simplification algorithm. 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

Function Documentation

read_ply_points_with_properties()

template<typename OutputIteratorValueType , typename OutputIterator , typename ... PropertyHandler>

bool CGAL::read_ply_points_with_properties	(	std::istream &	stream,
		OutputIterator	output,
		PropertyHandler &&...	properties
	)

Reads user-selected points properties from a .ply stream (ASCII or binary).

Potential additional point properties and faces are ignored.

Properties are handled through a variadic list of property handlers. A PropertyHandler can either be:

• A std::pair<PropertyMap, PLY_property<T> > if the user wants to read a PLY property as a scalar value T (for example, storing an int PLY property into an int variable).
• A std::tuple<PropertyMap, Constructor, PLY_property<T>...> if the user wants to use one or several PLY properties to construct a complex object (for example, storing 3 uchar PLY properties into a Color object that can for example be a std::array<unsigned char, 3>). In that case, the second element of the tuple should be a functor that constructs the value type of PropertyMap from N objects of types T.

See also

make_ply_point_reader()

make_ply_normal_reader()

Warning

This function requires a C++11 compiler.

Template Parameters

OutputIteratorValueType	type of objects that can be put in OutputIterator. It is default to value_type_traits<OutputIterator>::type and can be omitted when the default is fine.
OutputIterator	iterator over output points.
PropertyHandler	handlers to recover properties.

Returns

true on success.

Examples:

Point_set_processing_3/read_ply_points_with_colors_example.cpp.