\( \newcommand{\E}{\mathrm{E}} \) \( \newcommand{\A}{\mathrm{A}} \) \( \newcommand{\R}{\mathrm{R}} \) \( \newcommand{\N}{\mathrm{N}} \) \( \newcommand{\Q}{\mathrm{Q}} \) \( \newcommand{\Z}{\mathrm{Z}} \) \( \def\ccSum #1#2#3{ \sum_{#1}^{#2}{#3} } \def\ccProd #1#2#3{ \sum_{#1}^{#2}{#3} }\)
CGAL 5.0.1 - Manual
Namespaces | Classes | Typedefs | Enumerations | Functions | Variables
CGAL Namespace Reference

Namespaces

 Barycentric_coordinates
 
 Box_intersection_d
 
 Classification
 
 collect_garbage_internal
 
 cpp11
 
 cpp98
 
 Heat_method_3
 
 Mesh_2
 
 parameters
 
 Point_set_processing_3
 
 Polygon_mesh_processing
 
 Polyline_simplification_2
 
 Qt
 
 Scale_space_reconstruction_3
 
 Set_movable_separability_2
 
 Shape_detection
 
 Subdivision_method_3
 
 Surface_mesh_approximation
 
 Surface_mesh_parameterization
 
 Surface_mesh_shortest_paths_3
 
 Surface_mesh_simplification
 
 Surface_mesher
 

Classes

class  AABB_face_graph_triangle_primitive
 
class  AABB_halfedge_graph_segment_primitive
 
class  AABB_polyhedron_segment_primitive
 
class  AABB_polyhedron_triangle_primitive
 
struct  AABB_primitive
 
class  AABB_segment_primitive
 
class  AABB_traits
 
class  AABB_tree
 
class  AABB_triangle_primitive
 
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  Aff_transformation_d
 
class  Algebraic_kernel_d_1
 
class  Algebraic_kernel_d_2
 
struct  Algebraic_kernel_for_circles_2_2
 
struct  Algebraic_kernel_for_spheres_2_3
 
class  Algebraic_kernel_rs_gmpq_d_1
 
class  Algebraic_kernel_rs_gmpz_d_1
 
class  Algebraic_structure_traits
 
class  Alpha_shape_2
 
class  Alpha_shape_3
 
class  Alpha_shape_cell_base_3
 
class  Alpha_shape_face_base_2
 
class  Alpha_shape_vertex_base_2
 
class  Alpha_shape_vertex_base_3
 
class  Alpha_status
 
struct  Ambient_dimension
 
class  Apollonius_graph_2
 
struct  Apollonius_graph_adaptation_traits_2
 
struct  Apollonius_graph_caching_degeneracy_removal_policy_2
 
struct  Apollonius_graph_degeneracy_removal_policy_2
 
class  Apollonius_graph_filtered_traits_2
 
class  Apollonius_graph_hierarchy_2
 
class  Apollonius_graph_hierarchy_vertex_base_2
 
class  Apollonius_graph_traits_2
 
class  Apollonius_graph_vertex_base_2
 
class  Apollonius_site_2
 
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  Arr_accessor
 
class  Arr_algebraic_segment_traits_2
 
class  Arr_Bezier_curve_traits_2
 
class  Arr_circle_segment_traits_2
 
class  Arr_circular_arc_traits_2
 
class  Arr_circular_line_arc_traits_2
 
class  Arr_conic_traits_2
 
class  Arr_consolidated_curve_data_traits_2
 
class  Arr_curve_data_traits_2
 
class  Arr_dcel_base
 
class  Arr_default_dcel
 
class  Arr_default_overlay_traits
 
class  Arr_extended_dcel
 
class  Arr_extended_dcel_text_formatter
 
class  Arr_extended_face
 
class  Arr_extended_halfedge
 
class  Arr_extended_vertex
 
class  Arr_face_extended_dcel
 
class  Arr_face_extended_text_formatter
 
class  Arr_face_index_map
 
class  Arr_face_overlay_traits
 
class  Arr_landmarks_point_location
 
class  Arr_line_arc_traits_2
 
class  Arr_linear_traits_2
 
class  Arr_naive_point_location
 
class  Arr_non_caching_segment_basic_traits_2
 
class  Arr_non_caching_segment_traits_2
 
struct  Arr_oblivious_side_tag
 
class  Arr_observer
 
struct  Arr_open_side_tag
 
struct  Arr_point_location_result
 
class  Arr_polycurve_traits_2
 
class  Arr_polyline_traits_2
 
class  Arr_rational_function_traits_2
 
class  Arr_segment_traits_2
 
class  Arr_text_formatter
 
class  Arr_trapezoid_ric_point_location
 
class  Arr_vertex_index_map
 
class  Arr_walk_along_line_point_location
 
class  Arr_with_history_text_formatter
 
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_property_map
 
struct  Boolean_tag
 
struct  Cartesian
 
class  Cartesian_converter
 
struct  Cartesian_converter_property_map
 
class  Cartesian_d
 
struct  Cast_function_object
 
class  CatmullClark_mask_3
 
class  CC_safe_handle
 
class  Cell_attribute
 
class  Cell_attribute_with_id
 
class  Cell_attribute_with_point
 
class  Cell_attribute_with_point_and_id
 
class  Circle_2
 
class  Circle_3
 
class  Circular_arc_2
 
class  Circular_arc_3
 
class  Circular_arc_point_2
 
class  Circular_arc_point_3
 
struct  Circular_kernel_2
 
struct  Circulator_base
 
class  Circulator_from_container
 
class  Circulator_from_iterator
 
struct  Circulator_tag
 
struct  Circulator_traits
 
struct  Coercion_traits
 
class  Color
 
class  Combination_enumerator
 
class  Combinatorial_map
 
struct  Combinatorial_map_min_items
 
struct  Compact
 
class  Compact_container
 
class  Compact_container_base
 
struct  Compact_container_traits
 
class  Compact_mesh_cell_base_3
 
class  Compare_to_less
 
class  Compute_cone_boundaries_2
 
class  Concurrent_compact_container
 
struct  Concurrent_compact_container_traits
 
class  Const_oneset_iterator
 
struct  Constant_property_map
 
class  Constrained_Delaunay_triangulation_2
 
class  Constrained_triangulation_2
 
class  Constrained_triangulation_face_base_2
 
class  Constrained_triangulation_plus_2
 
struct  Construct_array
 
class  Construct_theta_graph_2
 
class  Construct_yao_graph_2
 
class  Container_from_circulator
 
class  Convex_hull_constructive_traits_2
 
class  Convex_hull_d
 
struct  Convex_hull_d_traits_3
 
class  Convex_hull_traits_2
 
class  Convex_hull_traits_3
 
class  Convex_hull_traits_adapter_2
 
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  Dart
 
struct  Data_access
 
struct  Default
 
class  Deformation_Eigen_closest_rotation_traits_3
 
class  Deformation_Eigen_polar_closest_rotation_traits_3
 
class  Delaunay_d
 
class  Delaunay_mesh_criteria_2
 
class  Delaunay_mesh_face_base_2
 
class  Delaunay_mesh_size_criteria_2
 
class  Delaunay_mesh_vertex_base_2
 
class  Delaunay_mesher_2
 
class  Delaunay_triangulation
 
class  Delaunay_triangulation_2
 
class  Delaunay_triangulation_3
 
struct  Delaunay_triangulation_adaptation_traits_2
 
struct  Delaunay_triangulation_caching_degeneracy_removal_policy_2
 
class  Delaunay_triangulation_cell_base_3
 
class  Delaunay_triangulation_cell_base_with_circumcenter_3
 
struct  Delaunay_triangulation_degeneracy_removal_policy_2
 
struct  Dereference
 
struct  Dereference_property_map
 
struct  Dimension_tag
 
class  Direction_2
 
class  Direction_3
 
class  Direction_d
 
class  Dispatch_or_drop_output_iterator
 
class  Dispatch_output_iterator
 
class  Distance_adapter
 
class  DooSabin_mask_3
 
class  DQQ_stencil_3
 
class  Dual
 
struct  Dummy_straight_skeleton_builder_2_visitor
 
struct  Dynamic_dimension_tag
 
struct  dynamic_edge_property_t
 
struct  dynamic_face_property_t
 
struct  dynamic_halfedge_property_t
 
class  Dynamic_matrix
 
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
 
class  Env_plane_traits_3
 
class  Env_sphere_traits_3
 
class  Env_surface_data_traits_3
 
class  Env_triangle_traits_3
 
class  Envelope_diagram_1
 
class  Envelope_diagram_2
 
struct  Epeck_d
 
struct  Epick_d
 
class  Euclidean_distance
 
class  Euclidean_distance_sphere_point
 
struct  Euclidean_ring_tag
 
class  Euler_integrator_2
 
class  Exact_circular_kernel_2
 
struct  Exact_intersections_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
 
struct  Exact_predicates_tag
 
class  Exact_spherical_kernel_3
 
class  Exponent_vector
 
class  Extended_cartesian
 
class  Extended_homogeneous
 
struct  Extremal_polygon_area_traits_2
 
struct  Extremal_polygon_perimeter_traits_2
 
class  Extreme_points_traits_adapter_3
 
class  Face_around_face_circulator
 
class  Face_around_face_iterator
 
class  Face_around_target_circulator
 
class  Face_around_target_iterator
 
struct  Face_filtered_graph
 
class  Fair
 
struct  Fast
 
struct  Feature_dimension
 
struct  Field_tag
 
struct  Field_with_kth_root_tag
 
struct  Field_with_root_of_tag
 
struct  Field_with_sqrt_tag
 
struct  Filter_iterator
 
class  Filtered_extended_homogeneous
 
struct  Filtered_kernel
 
struct  Filtered_kernel_adaptor
 
class  Filtered_predicate
 
struct  First_of_pair_property_map
 
class  Fixed_alpha_shape_3
 
class  Fixed_alpha_shape_cell_base_3
 
class  Fixed_alpha_shape_vertex_base_3
 
struct  Forward_circulator_base
 
class  Forward_circulator_ptrbase
 
struct  Forward_circulator_tag
 
class  Fourtuple
 
class  Fraction_traits
 
class  Fuzzy_iso_box
 
class  Fuzzy_sphere
 
class  General_polygon_2
 
class  General_polygon_set_2
 
class  General_polygon_with_holes_2
 
class  Generalized_map
 
struct  Generic_map_min_items
 
class  Geomview_stream
 
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_with_descriptor_with_graph
 
struct  Graph_with_descriptor_with_graph_property_map
 
class  Gray_image_mesh_domain_3
 
class  Gray_level_image_3
 
class  Greene_convex_decomposition_2
 
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_const_decorator
 
class  HalfedgeDS_decorator
 
class  HalfedgeDS_default
 
class  HalfedgeDS_face_base
 
class  HalfedgeDS_face_max_base_with_id
 
class  HalfedgeDS_face_min_base
 
class  HalfedgeDS_halfedge_base
 
class  HalfedgeDS_halfedge_max_base_with_id
 
class  HalfedgeDS_halfedge_min_base
 
class  HalfedgeDS_items_2
 
class  HalfedgeDS_items_decorator
 
class  HalfedgeDS_list
 
class  HalfedgeDS_min_items
 
class  HalfedgeDS_vector
 
class  HalfedgeDS_vertex_base
 
class  HalfedgeDS_vertex_max_base_with_id
 
class  HalfedgeDS_vertex_min_base
 
struct  Handle_hash_function
 
class  Hertel_Mehlhorn_convex_decomposition_2
 
struct  Hilbert_policy
 
class  Hilbert_sort_2
 
class  Hilbert_sort_3
 
class  Hilbert_sort_d
 
class  Hilbert_sort_on_sphere_3
 
struct  Homogeneous
 
class  Homogeneous_converter
 
class  Homogeneous_d
 
class  Hyperbolic_Delaunay_triangulation_2
 
class  Hyperbolic_Delaunay_triangulation_CK_traits_2
 
class  Hyperbolic_Delaunay_triangulation_traits_2
 
class  Hyperbolic_octagon_translation
 
class  Hyperbolic_triangulation_face_base_2
 
class  Hyperplane_d
 
struct  Identity
 
struct  Identity_policy_2
 
struct  Identity_property_map
 
class  Identity_transformation
 
class  Image_3
 
class  Implicit_mesh_domain_3
 
class  Implicit_multi_domain_to_labeling_function_wrapper
 
class  Implicit_surface_3
 
class  Implicit_to_labeled_subdomains_function_wrapper
 
class  In_place_list
 
class  In_place_list_base
 
class  Incremental_neighbor_search
 
struct  Input_iterator_property_map
 
class  Input_rep
 
class  Insert_iterator
 
struct  Integral_domain_tag
 
struct  Integral_domain_without_division_tag
 
class  Interpolation_gradient_fitting_traits_2
 
class  Interpolation_traits_2
 
class  Interval_nt
 
class  Interval_skip_list
 
class  Interval_skip_list_interval
 
class  Inverse_index
 
class  Ipelet_base
 
class  Is_convex_2
 
class  Is_vacuously_valid
 
class  Is_valid
 
class  Is_y_monotone_2
 
class  Iso_box_d
 
class  Iso_cuboid_3
 
class  Iso_rectangle_2
 
class  Istream_iterator
 
class  Iterator_range
 
struct  Iterator_tag
 
class  Join_input_iterator_1
 
class  Join_input_iterator_2
 
class  Join_input_iterator_3
 
class  K_neighbor_search
 
class  Kd_tree
 
class  Kd_tree_internal_node
 
class  Kd_tree_leaf_node
 
class  Kd_tree_node
 
class  Kd_tree_rectangle
 
struct  Kernel_traits
 
class  Labeled_image_mesh_domain_3
 
class  Labeled_mesh_domain_3
 
class  Largest_empty_iso_rectangle_2
 
class  Lazy_exact_nt
 
class  Level_interval
 
class  Line_2
 
class  Line_3
 
class  Line_arc_2
 
class  Line_arc_3
 
class  Line_d
 
class  Linear_algebraCd
 
class  Linear_algebraHd
 
class  Linear_cell_complex
 
struct  Linear_cell_complex_bgl_min_items
 
struct  Linear_cell_complex_for_bgl_combinatorial_map_helper
 
class  Linear_cell_complex_for_combinatorial_map
 
class  Linear_cell_complex_for_generalized_map
 
struct  Linear_cell_complex_min_items
 
struct  Linear_cell_complex_traits
 
class  Linear_constraint
 
class  Linear_mask_3
 
class  Linear_objective
 
class  Linear_program_from_iterators
 
struct  Location_policy
 
class  Loop_mask_3
 
class  Manhattan_distance_iso_box_point
 
struct  Manifold_tag
 
struct  Manifold_with_boundary_tag
 
struct  Max
 
class  Mean_curvature_flow_skeletonization
 
struct  Median
 
class  Median_of_max_spread
 
class  Median_of_rectangle
 
struct  Memory_sizer
 
class  Mesh_cell_base_3
 
class  Mesh_cell_criteria_3
 
class  Mesh_complex_3_in_triangulation_3
 
class  Mesh_constant_domain_field_3
 
class  Mesh_criteria_3
 
class  Mesh_domain_with_polyline_features_3
 
class  Mesh_edge_criteria_3
 
class  Mesh_facet_criteria_3
 
struct  Mesh_polyhedron_3
 
struct  Mesh_triangulation_3
 
class  Mesh_vertex_base_3
 
struct  Middle
 
class  Midpoint_of_max_spread
 
class  Midpoint_of_rectangle
 
struct  Min
 
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  Modifier_base
 
class  Modular_traits
 
class  Monge_via_jet_fitting
 
class  MP_Float
 
struct  Mpzf
 
class  Multiscale_sort
 
class  Multiset
 
class  N_step_adaptor
 
class  Nef_nary_union_3
 
class  Nef_polyhedron_2
 
class  Nef_polyhedron_3
 
class  Nef_polyhedron_S2
 
struct  No_intersection_tag
 
struct  Non_manifold_tag
 
class  Nonnegative_linear_program_from_iterators
 
class  Nonnegative_quadratic_program_from_iterators
 
struct  NT_converter
 
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  Number_type_checker
 
class  Object
 
class  Oneset_iterator
 
class  Optimal_convex_decomposition_2
 
class  Optimal_transportation_reconstruction_2
 
class  Origin
 
class  Orthogonal_incremental_neighbor_search
 
class  Orthogonal_k_neighbor_search
 
class  Ostream_iterator
 
class  Output_rep
 
struct  Parallel_tag
 
class  Partition_is_valid_traits_2
 
class  Partition_traits_2
 
class  Periodic_2_Delaunay_triangulation_2
 
class  Periodic_2_Delaunay_triangulation_traits_2
 
class  Periodic_2_offset_2
 
class  Periodic_2_triangulation_2
 
class  Periodic_2_triangulation_face_base_2
 
class  Periodic_2_triangulation_hierarchy_2
 
class  Periodic_2_triangulation_traits_2
 
class  Periodic_2_triangulation_vertex_base_2
 
class  Periodic_3_Delaunay_triangulation_3
 
class  Periodic_3_Delaunay_triangulation_traits_3
 
class  Periodic_3_function_wrapper
 
class  Periodic_3_mesh_triangulation_3
 
class  Periodic_3_offset_3
 
class  Periodic_3_regular_triangulation_3
 
class  Periodic_3_regular_triangulation_traits_3
 
class  Periodic_3_triangulation_3
 
class  Periodic_3_triangulation_ds_cell_base_3
 
class  Periodic_3_triangulation_ds_vertex_base_3
 
class  Periodic_3_triangulation_hierarchy_3
 
class  Periodic_3_triangulation_traits_3
 
class  Periodic_4_hyperbolic_Delaunay_triangulation_2
 
class  Periodic_4_hyperbolic_Delaunay_triangulation_traits_2
 
class  Periodic_4_hyperbolic_triangulation_2
 
class  Periodic_4_hyperbolic_triangulation_face_base_2
 
class  Periodic_4_hyperbolic_triangulation_vertex_base_2
 
class  Plane_3
 
class  Plane_separator
 
struct  PLY_property
 
class  Point_2
 
class  Point_3
 
class  Point_container
 
class  Point_d
 
class  Point_set_2
 
class  Point_set_3
 
class  Point_set_with_structure
 
struct  Pointer_property_map
 
class  Points_on_segment_2
 
class  Poisson_reconstruction_function
 
class  Polygon_2
 
class  Polygon_mesh_slicer
 
class  Polygon_nop_decomposition_2
 
class  Polygon_offset_builder_2
 
class  Polygon_offset_builder_traits_2
 
class  Polygon_set_2
 
class  Polygon_triangulation_decomposition_2
 
class  Polygon_vertical_decomposition_2
 
class  Polygon_with_holes_2
 
class  Polygonal_surface_reconstruction
 
class  Polyhedral_complex_mesh_domain_3
 
class  Polyhedral_mesh_domain_3
 
class  Polyhedral_mesh_domain_with_features_3
 
class  Polyhedron_3
 
class  Polyhedron_incremental_builder_3
 
class  Polyhedron_items_3
 
class  Polyhedron_items_with_id_3
 
class  Polyhedron_min_items_3
 
class  Polyhedron_traits_3
 
class  Polyhedron_traits_with_normals_3
 
class  Polynomial
 
class  Polynomial_1_2
 
class  Polynomial_1_3
 
class  Polynomial_for_circles_2_2
 
class  Polynomial_for_spheres_2_3
 
class  Polynomial_traits_d
 
struct  Polynomial_type_generator
 
class  Polynomials_for_lines_3
 
class  Polytope_distance_d
 
class  Polytope_distance_d_traits_2
 
class  Polytope_distance_d_traits_3
 
class  Polytope_distance_d_traits_d
 
class  PQQ_stencil_3
 
struct  Profile_counter
 
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
 
struct  Protect_FPU_rounding
 
class  Quadratic_program
 
class  Quadratic_program_from_iterators
 
class  Quadratic_program_from_mps
 
class  Quadratic_program_options
 
class  Quadratic_program_solution
 
class  Quadruple
 
class  Quotient
 
class  Random
 
class  Random_access_adaptor
 
struct  Random_access_circulator_base
 
class  Random_access_circulator_ptrbase
 
struct  Random_access_circulator_tag
 
class  Random_access_value_adaptor
 
struct  Random_convex_set_traits_2
 
class  Random_points_in_ball_d
 
class  Random_points_in_cube_3
 
class  Random_points_in_cube_d
 
class  Random_points_in_disc_2
 
class  Random_points_in_sphere_3
 
class  Random_points_in_square_2
 
class  Random_points_in_tetrahedral_mesh_3
 
class  Random_points_in_tetrahedral_mesh_boundary_3
 
class  Random_points_in_tetrahedron_3
 
class  Random_points_in_triangle_2
 
class  Random_points_in_triangle_3
 
class  Random_points_in_triangle_mesh_2
 
struct  Random_points_in_triangle_mesh_3
 
struct  Random_points_in_triangles_2
 
struct  Random_points_in_triangles_3
 
class  Random_points_on_circle_2
 
class  Random_points_on_segment_2
 
class  Random_points_on_segment_3
 
class  Random_points_on_sphere_3
 
class  Random_points_on_sphere_d
 
class  Random_points_on_square_2
 
class  Range_segment_tree_set_traits_2
 
class  Range_segment_tree_set_traits_3
 
class  Range_tree_d
 
class  Range_tree_k
 
class  Range_tree_map_traits_2
 
class  Range_tree_map_traits_3
 
class  Rational_traits
 
class  Ray_2
 
class  Ray_3
 
class  Ray_d
 
class  Real_embeddable_traits
 
class  Real_timer
 
class  Rectangular_p_center_default_traits_2
 
class  Reflection
 
class  Regular_grid_2
 
class  Regular_triangulation
 
class  Regular_triangulation_2
 
class  Regular_triangulation_3
 
struct  Regular_triangulation_adaptation_traits_2
 
struct  Regular_triangulation_caching_degeneracy_removal_policy_2
 
class  Regular_triangulation_cell_base_3
 
class  Regular_triangulation_cell_base_with_weighted_circumcenter_3
 
struct  Regular_triangulation_degeneracy_removal_policy_2
 
class  Regular_triangulation_euclidean_traits_3
 
class  Regular_triangulation_face_base_2
 
class  Regular_triangulation_traits_adapter
 
class  Regular_triangulation_vertex_base_2
 
class  Regular_triangulation_vertex_base_3
 
class  Residue
 
class  Ridge_approximation
 
class  Ridge_line
 
class  Rigid_triangle_mesh_collision_detection
 
class  Robust_weighted_circumcenter_filtered_traits_3
 
class  Root_for_circles_2_2
 
class  Root_for_spheres_2_3
 
struct  Root_of_traits
 
class  Rotation
 
class  Rotational_sweep_visibility_2
 
class  Runge_kutta_integrator_2
 
class  Scale_space_surface_reconstruction_3
 
class  Scaling
 
class  Seam_mesh
 
class  Search_traits
 
class  Search_traits_2
 
class  Search_traits_3
 
class  Search_traits_adapter
 
class  Search_traits_d
 
struct  Second_of_pair_property_map
 
class  Segment_2
 
class  Segment_3
 
class  Segment_d
 
class  Segment_Delaunay_graph_2
 
struct  Segment_Delaunay_graph_adaptation_traits_2
 
struct  Segment_Delaunay_graph_caching_degeneracy_removal_policy_2
 
struct  Segment_Delaunay_graph_degeneracy_removal_policy_2
 
struct  Segment_Delaunay_graph_filtered_traits_2
 
struct  Segment_Delaunay_graph_filtered_traits_without_intersections_2
 
class  Segment_Delaunay_graph_hierarchy_2
 
class  Segment_Delaunay_graph_hierarchy_vertex_base_2
 
class  Segment_Delaunay_graph_Linf_2
 
struct  Segment_Delaunay_graph_Linf_filtered_traits_2
 
struct  Segment_Delaunay_graph_Linf_filtered_traits_without_intersections_2
 
class  Segment_Delaunay_graph_Linf_hierarchy_2
 
struct  Segment_Delaunay_graph_Linf_traits_2
 
struct  Segment_Delaunay_graph_Linf_traits_without_intersections_2
 
class  Segment_Delaunay_graph_site_2
 
class  Segment_Delaunay_graph_storage_site_2
 
struct  Segment_Delaunay_graph_traits_2
 
struct  Segment_Delaunay_graph_traits_without_intersections_2
 
class  Segment_Delaunay_graph_vertex_base_2
 
class  Segment_tree_d
 
class  Segment_tree_k
 
class  Segment_tree_map_traits_2
 
class  Segment_tree_map_traits_3
 
struct  Sequential_tag
 
class  Set_ieee_double_precision
 
class  Side_of_triangle_mesh
 
struct  Simple_cartesian
 
struct  Simple_homogeneous
 
class  Simple_polygon_visibility_2
 
class  Sixtuple
 
class  Skin_surface_3
 
struct  Skin_surface_polyhedral_items_3
 
class  Skin_surface_traits_3
 
class  Sliding_fair
 
class  Sliding_midpoint
 
class  Small_side_angle_bisector_decomposition_2
 
class  Snap_rounding_traits_2
 
class  Sorted_matrix_search_traits_adaptor
 
class  Spatial_lock_grid_3
 
class  Spatial_sort_traits_adapter_2
 
class  Spatial_sort_traits_adapter_3
 
class  Spatial_sort_traits_adapter_d
 
class  Sphere_3
 
class  Sphere_d
 
struct  Spherical_kernel_3
 
class  Sqrt3_mask_3
 
class  Sqrt_extension
 
class  Straight_skeleton_2
 
class  Straight_skeleton_builder_2
 
class  Straight_skeleton_builder_traits_2
 
struct  Straight_skeleton_converter_2
 
class  Straight_skeleton_face_base_2
 
class  Straight_skeleton_halfedge_base_2
 
struct  Straight_skeleton_items_converter_2
 
class  Straight_skeleton_vertex_base_2
 
class  Stream_lines_2
 
class  Surface_mesh
 
class  Surface_mesh_cell_base_3
 
class  Surface_mesh_complex_2_in_triangulation_3
 
class  Surface_mesh_default_criteria_3
 
class  Surface_mesh_default_triangulation_3
 
class  Surface_mesh_deformation
 
class  Surface_mesh_shortest_path
 
class  Surface_mesh_shortest_path_traits
 
struct  Surface_mesh_traits_generator_3
 
class  Surface_mesh_vertex_base_3
 
class  Tetrahedron_3
 
class  Threetuple
 
class  Timer
 
class  Translation
 
class  Tree_anchor
 
class  tree_interval_traits
 
class  tree_point_traits
 
class  Triangle_2
 
class  Triangle_3
 
class  Triangle_accessor_3
 
class  Triangular_expansion_visibility_2
 
class  Triangular_field_2
 
class  Triangulation
 
class  Triangulation_2
 
class  Triangulation_3
 
class  Triangulation_cell_base_3
 
class  Triangulation_cell_base_with_info_3
 
class  Triangulation_conformer_2
 
class  Triangulation_cw_ccw_2
 
class  Triangulation_data_structure
 
class  Triangulation_data_structure_2
 
class  Triangulation_data_structure_3
 
class  Triangulation_ds_cell_base_3
 
class  Triangulation_ds_face_base_2
 
class  Triangulation_ds_full_cell
 
class  Triangulation_ds_vertex
 
class  Triangulation_ds_vertex_base_2
 
class  Triangulation_ds_vertex_base_3
 
class  Triangulation_face
 
class  Triangulation_face_base_2
 
class  Triangulation_face_base_with_id_2
 
class  Triangulation_face_base_with_info_2
 
class  Triangulation_full_cell
 
class  Triangulation_hierarchy_2
 
class  Triangulation_hierarchy_vertex_base_2
 
class  Triangulation_simplex_3
 
struct  Triangulation_utils_3
 
class  Triangulation_vertex
 
class  Triangulation_vertex_base_2
 
class  Triangulation_vertex_base_3
 
class  Triangulation_vertex_base_with_id_2
 
class  Triangulation_vertex_base_with_info_2
 
class  Triangulation_vertex_base_with_info_3
 
class  Triple
 
class  Twotuple
 
class  Umbilic
 
class  Umbilic_approximation
 
class  Uncertain
 
class  Union_find
 
class  Union_of_balls_3
 
struct  Unique_factorization_domain_tag
 
class  Unique_hash_map
 
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  Variational_shape_approximation
 
class  Vector_2
 
class  Vector_3
 
class  Vector_d
 
class  Verbose_ostream
 
class  Vertex_around_face_iterator
 
class  Vertex_around_target_circulator
 
class  Vertex_around_target_iterator
 
class  Voronoi_diagram_2
 
class  Voronoi_intersection_2_traits_3
 
class  Weighted_alpha_shape_euclidean_traits_2
 
class  Weighted_Minkowski_distance
 
class  Weighted_point_2
 
class  Weighted_point_3
 
class  Width_3
 
class  Width_default_traits_3
 

Typedefs

typedef Interval_nt< false > Interval_nt_advanced
 
typedef unspecified_type Exact_integer
 
typedef unspecified_type Exact_rational
 
typedef Sign Orientation
 
typedef Box_parameter_space_2 Arr_parameter_space
 
typedef Hilbert_policy< Median > Hilbert_sort_median_policy
 
typedef Hilbert_policy< Middle > Hilbert_sort_middle_policy
 
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  Quadratic_program_pricing_strategy
 
enum  Quadratic_program_status
 
enum  Angle
 
enum  Bounded_side
 
enum  Comparison_result
 
enum  Sign
 
enum  Oriented_side
 
enum  Box_parameter_space_2
 
enum  Circle_type
 
enum  Arr_curve_end
 
enum  Arr_halfedge_direction
 
enum  Mesh_optimization_return_code
 
enum  Mesh_facet_topology
 
enum  Ridge_order
 
enum  Ridge_type
 
enum  Umbilic_type
 
enum  Failure_behaviour
 

Functions

NT abs (const NT &x)
 
result_type compare (const NT &x, const NT &y)
 
result_type div (const NT1 &x, const NT2 &y)
 
void div_mod (const NT1 &x, const NT2 &y, result_type &q, result_type &r)
 
result_type gcd (const NT1 &x, const NT2 &y)
 
result_type integral_division (const NT1 &x, const NT2 &y)
 
NT inverse (const NT &x)
 
result_type is_negative (const NT &x)
 
result_type is_one (const NT &x)
 
result_type is_positive (const NT &x)
 
result_type is_square (const NT &x)
 
result_type is_square (const NT &x, NT &y)
 
result_type is_zero (const NT &x)
 
NT kth_root (int k, const NT &x)
 
result_type mod (const NT1 &x, const NT2 &y)
 
NT root_of (int k, InputIterator begin, InputIterator end)
 
result_type sign (const NT &x)
 
void simplify (const NT &x)
 
NT sqrt (const NT &x)
 
NT square (const NT &x)
 
double to_double (const NT &x)
 
std::pair< double, double > to_interval (const NT &x)
 
NT unit_part (const NT &x)
 
bool 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)
 
Polynomial_traits_d< Polynomial_d >::Canonicalize::result_type canonicalize (const Polynomial_d &p)
 
Polynomial_traits_d< Polynomial_d >::Compare::result_type compare (const Polynomial_d &p, const Polynomial_d &q)
 
Polynomial_traits_d< Polynomial_d >::Degree::result_type degree (const Polynomial_d &p, int i, index=Polynomial_traits_d< Polynomial_d >::d-1)
 
Polynomial_traits_d< Polynomial_d >::Degree_vector::result_type degree_vector (const Polynomial_d &p)
 
Polynomial_traits_d< Polynomial_d >::Differentiate::result_type differentiate (const Polynomial_d &p, index=Polynomial_traits_d< Polynomial_d >::d-1)
 
Polynomial_traits_d< Polynomial_d >::Evaluate_homogeneous::result_type evaluate_homogeneous (const Polynomial_d &p, Polynomial_traits_d< Polynomial_d >::Coefficient_type u, Polynomial_traits_d< Polynomial_d >::Coefficient_type v)
 
Polynomial_traits_d< Polynomial_d >::Evaluate::result_type evaluate (const Polynomial_d &p, Polynomial_traits_d< Polynomial_d >::Coefficient_type x)
 
Polynomial_traits_d< Polynomial_d >::Gcd_up_to_constant_factor::result_type gcd_up_to_constant_factor (const Polynomial_d &p, const Polynomial_d &q)
 
Polynomial_traits_d< Polynomial_d >::get_coefficient::result_type get_coefficient (const Polynomial_d &p, int i)
 
Polynomial_traits_d< Polynomial_d >::get_innermost_coefficient::result_type get_innermost_coefficient (const Polynomial_d &p, Exponent_vector ev)
 
Polynomial_traits_d< Polynomial_d >::Innermost_leading_coefficient::result_type innermost_leading_coefficient (const Polynomial_d &p)
 
Polynomial_traits_d< Polynomial_d >::Integral_division_up_to_constant_factor::result_type integral_division_up_to_constant_factor (const Polynomial_d &p, const Polynomial_d &q)
 
Polynomial_traits_d< Polynomial_d >::Invert::result_type invert (const Polynomial_d &p, int index=Polynomial_traits_d< Polynomial_d >::d-1)
 
Polynomial_traits_d< Polynomial_d >::Is_square_free::result_type is_square_free (const Polynomial_d &p)
 
Polynomial_traits_d< Polynomial_d >::Is_zero_at_homogeneous::result_type is_zero_at_homogeneous (const Polynomial_d &p, InputIterator begin, InputIterator end)
 
Polynomial_traits_d< Polynomial_d >::Is_zero_at::result_type is_zero_at (const Polynomial_d &p, InputIterator begin, InputIterator end)
 
Polynomial_traits_d< Polynomial_d >::Leading_coefficient::result_type leading_coefficient (const Polynomial_d &p)
 
Polynomial_traits_d< Polynomial_d >::Make_square_free::result_type make_square_free (const Polynomial_d &p)
 
Polynomial_traits_d< Polynomial_d >::Move::result_type move (const Polynomial_d &p, int i, int j)
 
Polynomial_traits_d< Polynomial_d >::Multivariate_content::result_type multivariate_content (const Polynomial_d &p)
 
Polynomial_traits_d< Polynomial_d >::Negate::result_type negate (const Polynomial_d &p, int index=Polynomial_traits_d< Polynomial_d >::d-1)
 
int number_of_real_roots (Polynomial_d f)
 
int number_of_real_roots (InputIterator start, InputIterator end)
 
Polynomial_traits_d< Polynomial_d >::Permute::result_type permute (const Polynomial_d &p, InputIterator begin, InputIterator end)
 
OutputIterator polynomial_subresultants (Polynomial_d p, Polynomial_d q, OutputIterator out)
 
OutputIterator1 polynomial_subresultants_with_cofactors (Polynomial_d p, Polynomial_d q, OutputIterator1 sres_out, OutputIterator2 coP_out, OutputIterator3 coQ_out)
 
OutputIterator principal_sturm_habicht_sequence (typename Polynomial_d f, OutputIterator out)
 
OutputIterator principal_subresultants (Polynomial_d p, Polynomial_d q, OutputIterator out)
 
void pseudo_division (const Polynomial_d &f, const Polynomial_d &g, Polynomial_d &q, Polynomial_d &r, Polynomial_traits_d< Polynomial_d >::Coefficient_type &D)
 
Polynomial_traits_d< Polynomial_d >::Pseudo_division_quotient::result_type pseudo_division_quotient (const Polynomial_d &p, const Polynomial_d &q)
 
Polynomial_traits_d< Polynomial_d >::Pseudo_division_remainder::result_type pseudo_division_remainder (const Polynomial_d &p, const Polynomial_d &q)
 
Polynomial_traits_d< Polynomial_d >::Resultant::result_type resultant (const Polynomial_d &p, const Polynomial_d &q)
 
Polynomial_traits_d< Polynomial_d >::Scale_homogeneous::result_type scale_homogeneous (const Polynomial_d &p, const Polynomial_traits_d< Polynomial_d >::Innermost_coefficient_type &u, const Polynomial_traits_d< Polynomial_d >::Innermost_coefficient_type &v, int index=Polynomial_traits_d< Polynomial_d >::d-1)
 
Polynomial_traits_d< Polynomial_d >::Scale::result_type scale (const Polynomial_d &p, const Polynomial_traits_d< Polynomial_d >::Innermost_coefficient_type &a, int index=Polynomial_traits_d< Polynomial_d >::d-1)
 
Polynomial_traits_d< Polynomial_d >::Shift::result_type shift (const Polynomial_d &p, int i, int index=Polynomial_traits_d< Polynomial_d >::d-1)
 
Polynomial_traits_d< Polynomial_d >::Sign_at_homogeneous::result_type sign_at_homogeneous (const Polynomial_d &p, InputIterator begin, InputIterator end)
 
Polynomial_traits_d< Polynomial_d >::Sign_at::result_type sign_at (const Polynomial_d &p, InputIterator begin, InputIterator end)
 
OutputIterator square_free_factorize (const Polynomial_d &p, OutputIterator it, Polynomial_traits_d< Polynomial >::Innermost_coefficient &a)
 
OutputIterator square_free_factorize (const Polynomial_d &p, OutputIterator it)
 
OutputIterator square_free_factorize_up_to_constant_factor (const Polynomial_d &p, OutputIterator it)
 
OutputIterator sturm_habicht_sequence (Polynomial_d f, OutputIterator out)
 
OutputIterator1 sturm_habicht_sequence_with_cofactors (Polynomial_d f, OutputIterator1 stha_out, OutputIterator2 cof_out, OutputIterator3 cofx_out)
 
CGAL::Coercion_traits< Polynomial_traits_d< Polynomial_d >::Innermost_coefficient, std::iterator_traits< Input_iterator >::value_type >::Type substitute_homogeneous (const Polynomial_d &p, InputIterator begin, InputIterator end)
 
CGAL::Coercion_traits< Polynomial_traits_d< Polynomial_d >::Innermost_coefficient, std::iterator_traits< Input_iterator >::value_type >::Type substitute (const Polynomial_d &p, InputIterator begin, InputIterator end)
 
Polynomial_traits_d< Polynomial_d >::Swap::result_type swap (const Polynomial_d &p, int i, int j)
 
Polynomial_traits_d< Polynomial_d >::Total_degree::result_type total_degree (const Polynomial_d &p)
 
Polynomial_traits_d< Polynomial_d >::Translate_homogeneous::result_type translate_homogeneous (const Polynomial_d &p, const Polynomial_traits_d< Polynomial_d >::Innermost_coefficient_type &u, const Polynomial_traits_d< Polynomial_d >::Innermost_coefficient_type &v, int index=Polynomial_traits_d< Polynomial_d >::d-1)
 
Polynomial_traits_d< Polynomial_d >::Translate::result_type translate (const Polynomial_d &p, const Polynomial_traits_d< Polynomial_d >::Innermost_coefficient_type &a, int index=Polynomial_traits_d< Polynomial_d >::d-1)
 
Polynomial_traits_d< Polynomial_d >::Univariate_content::result_type univariate_content (const Polynomial_d &p)
 
Polynomial_traits_d< Polynomial_d >::Univariate_content_up_to_constant_factor::result_type univariate_content_up_to_constant_factor (const Polynomial_d &p)
 
void monotone_matrix_search (const Matrix &m, RandomAccessIC t, const Compare_strictly &compare_strictly=less< Matrix::Value >())
 
Traits::Value sorted_matrix_search (RandomAccessIterator f, RandomAccessIterator l, const Traits &t)
 
void print_linear_program (std::ostream &out, const LinearProgram &lp, const std::string &problem_name=std::string("MY_MPS"))
 
void print_nonnegative_linear_program (std::ostream &out, const NonnegativeLinearProgram &lp, const std::string &problem_name=std::string("MY_MPS"))
 
void print_nonnegative_quadratic_program (std::ostream &out, const NonnegativeQuadraticProgram &qp, const std::string &problem_name=std::string("MY_MPS"))
 
void print_quadratic_program (std::ostream &out, const QuadraticProgram &qp, const std::string &problem_name=std::string("MY_MPS"))
 
Quadratic_program_solution< ET > solve_linear_program (const LinearProgram &lp, const ET &, const Quadratic_program_options &options=Quadratic_program_options())
 
Quadratic_program_solution< ET > solve_nonnegative_linear_program (const NonnegativeLinearProgram &lp, const ET &, const Quadratic_program_options &options=Quadratic_program_options())
 
Quadratic_program_solution< ET > solve_nonnegative_quadratic_program (const NonnegativeQuadraticProgram &qp, const ET &, const Quadratic_program_options &options=Quadratic_program_options())
 
Quadratic_program_solution< ET > solve_quadratic_program (const QuadraticProgram &qp, const ET &, const Quadratic_program_options &options=Quadratic_program_options())
 
Linear_program_from_iterators< A_it, B_it, R_it, FL_it, L_it, FU_it, U_it, C_it > make_linear_program_from_iterators (int n, int m, const A_it &a, const B_it &b, const R_it &r, const FL_it &fl, const L_it &l, const FU_it &fu, const U_it &u, const C_it &c, std::iterator_traits< C_it >::value_type c0=std::iterator_traits< C_it >::value_type(0))
 
Nonnegative_linear_program_from_iterators< A_it, B_it, R_it, C_it > make_nonnegative_linear_program_from_iterators (int n, int m, const A_it &a, const B_it &b, const R_it &r, const C_it &c, std::iterator_traits< C_it >::value_type c0=std::iterator_traits< C_it >::value_type(0))
 
Nonnegative_quadratic_program_from_iterators< A_it, B_it, R_it, D_it, C_it > make_nonnegative_quadratic_program_from_iterators (int n, int m, const A_it &a, const B_it &b, const R_it &r, const D_it &d, const C_it &c, std::iterator_traits< C_it >::value_type c0=std::iterator_traits< C_it >::value_type(0))
 
Quadratic_program_from_iterators< A_it, B_it, R_it, FL_it, L_it, FU_it, U_it, D_it, C_it > make_quadratic_program_from_iterators (int n, int m, const A_it &a, const B_it &b, const R_it &r, const FL_it &fl, const L_it &l, const FU_it &fu, const U_it &u, const D_it &d, const C_it &c, std::iterator_traits< C_it >::value_type c0=std::iterator_traits< C_it >::value_type(0))
 
T enum_cast (const U &u)
 
Oriented_side opposite (const Oriented_side &o)
 
Bounded_side opposite (const Bounded_side &o)
 
bool do_intersect (Type1< Kernel > obj1, Type2< Kernel > obj2)
 
cpp11::result_of< Kernel::Intersect_23(Type1, Type2)>::type intersection (Type1< Kernel > obj1, Type2< Kernel > obj2)
 
boost::optional< boost::variant< Point_3, Line_3, Plane_3 > > intersection (const Plane_3< Kernel > &pl1, const Plane_3< Kernel > &pl2, const Plane_3< Kernel > &pl3)
 
Angle angle (const CGAL::Vector_2< Kernel > &u, const CGAL::Vector_2< Kernel > &v)
 
Angle angle (const CGAL::Point_2< Kernel > &p, const CGAL::Point_2< Kernel > &q, const CGAL::Point_2< Kernel > &r)
 
Angle angle (const CGAL::Point_2< Kernel > &p, const CGAL::Point_2< Kernel > &q, const CGAL::Point_2< Kernel > &r, const CGAL::Point_2< Kernel > &s)
 
Angle angle (const CGAL::Vector_3< Kernel > &u, const CGAL::Vector_3< Kernel > &v)
 
Angle angle (const CGAL::Point_3< Kernel > &p, const CGAL::Point_3< Kernel > &q, const CGAL::Point_3< Kernel > &r)
 
Angle angle (const CGAL::Point_3< Kernel > &p, const CGAL::Point_3< Kernel > &q, const CGAL::Point_3< Kernel > &r, const CGAL::Point_3< Kernel > &s)
 
Angle angle (const CGAL::Point_3< Kernel > &p, const CGAL::Point_3< Kernel > &q, const CGAL::Point_3< Kernel > &r, const CGAL::Vector_3< Kernel > &v)
 
Kernel::FT approximate_angle (const CGAL::Point_3< Kernel > &p, const CGAL::Point_3< Kernel > &q, const CGAL::Point_3< Kernel > &r)
 
Kernel::FT approximate_angle (const CGAL::Vector_3< Kernel > &u, const CGAL::Vector_3< Kernel > &v)
 
Kernel::FT approximate_dihedral_angle (const CGAL::Point_3< Kernel > &p, const CGAL::Point_3< Kernel > &q, const CGAL::Point_3< Kernel > &r, const CGAL::Point_3< Kernel > &s)
 
Kernel::FT area (const CGAL::Point_2< Kernel > &p, const CGAL::Point_2< Kernel > &q, const CGAL::Point_2< Kernel > &r)
 
bool are_ordered_along_line (const CGAL::Point_2< Kernel > &p, const CGAL::Point_2< Kernel > &q, const CGAL::Point_2< Kernel > &r)
 
bool are_ordered_along_line (const CGAL::Point_3< Kernel > &p, const CGAL::Point_3< Kernel > &q, const CGAL::Point_3< Kernel > &r)
 
bool are_strictly_ordered_along_line (const CGAL::Point_2< Kernel > &p, const CGAL::Point_2< Kernel > &q, const CGAL::Point_2< Kernel > &r)
 
bool are_strictly_ordered_along_line (const CGAL::Point_3< Kernel > &p, const CGAL::Point_3< Kernel > &q, const CGAL::Point_3< Kernel > &r)
 
CGAL::Point_2< Kernel > barycenter (const CGAL::Point_2< Kernel > &p1, const Kernel::FT &w1, const CGAL::Point_2< Kernel > &p2)
 
CGAL::Point_2< Kernel > barycenter (const CGAL::Point_2< Kernel > &p1, const Kernel::FT &w1, const CGAL::Point_2< Kernel > &p2, const Kernel::FT &w2)
 
CGAL::Point_2< Kernel > barycenter (const CGAL::Point_2< Kernel > &p1, const Kernel::FT &w1, const CGAL::Point_2< Kernel > &p2, const Kernel::FT &w2, const CGAL::Point_2< Kernel > &p3)
 
CGAL::Point_2< Kernel > barycenter (const CGAL::Point_2< Kernel > &p1, const Kernel::FT &w1, const CGAL::Point_2< Kernel > &p2, const Kernel::FT &w2, const CGAL::Point_2< Kernel > &p3, const Kernel::FT &w3)
 
CGAL::Point_2< Kernel > barycenter (const CGAL::Point_2< Kernel > &p1, const Kernel::FT &w1, const CGAL::Point_2< Kernel > &p2, const Kernel::FT &w2, const CGAL::Point_2< Kernel > &p3, const Kernel::FT &w3, const CGAL::Point_2< Kernel > &p4)
 
CGAL::Point_2< Kernel > barycenter (const CGAL::Point_2< Kernel > &p1, const Kernel::FT &w1, const CGAL::Point_2< Kernel > &p2, const Kernel::FT &w2, const CGAL::Point_2< Kernel > &p3, const Kernel::FT &w3, const CGAL::Point_2< Kernel > &p4, const Kernel::FT &w4)
 
CGAL::Point_3< Kernel > barycenter (const CGAL::Point_3< Kernel > &p1, const Kernel::FT &w1, const CGAL::Point_3< Kernel > &p2)
 
CGAL::Point_3< Kernel > barycenter (const CGAL::Point_3< Kernel > &p1, const Kernel::FT &w1, const CGAL::Point_3< Kernel > &p2, const Kernel::FT &w2)
 
CGAL::Point_3< Kernel > barycenter (const CGAL::Point_3< Kernel > &p1, const Kernel::FT &w1, const CGAL::Point_3< Kernel > &p2, const Kernel::FT &w2, const CGAL::Point_3< Kernel > &p3)
 
CGAL::Point_3< Kernel > barycenter (const CGAL::Point_3< Kernel > &p1, const Kernel::FT &w1, const CGAL::Point_3< Kernel > &p2, const Kernel::FT &w2, const CGAL::Point_3< Kernel > &p3, const Kernel::FT &w3)
 
CGAL::Point_3< Kernel > barycenter (const CGAL::Point_3< Kernel > &p1, const Kernel::FT &w1, const CGAL::Point_3< Kernel > &p2, const Kernel::FT &w2, const CGAL::Point_3< Kernel > &p3, const Kernel::FT &w3, const CGAL::Point_3< Kernel > &p4)
 
CGAL::Point_3< Kernel > barycenter (const CGAL::Point_3< Kernel > &p1, const Kernel::FT &w1, const CGAL::Point_3< Kernel > &p2, const Kernel::FT &w2, const CGAL::Point_3< Kernel > &p3, const Kernel::FT &w3, const CGAL::Point_3< Kernel > &p4, const Kernel::FT &w4)
 
CGAL::Line_2< Kernel > bisector (const CGAL::Point_2< Kernel > &p, const CGAL::Point_2< Kernel > &q)
 
CGAL::Line_2< Kernel > bisector (const CGAL::Line_2< Kernel > &l1, const CGAL::Line_2< Kernel > &l2)
 
CGAL::Plane_3< Kernel > bisector (const CGAL::Point_3< Kernel > &p, const CGAL::Point_3< Kernel > &q)
 
CGAL::Plane_3< Kernel > bisector (const CGAL::Plane_3< Kernel > &h1, const CGAL::Plane_3< Kernel > &h2)
 
CGAL::Point_2< Kernel > centroid (const CGAL::Point_2< Kernel > &p, const CGAL::Point_2< Kernel > &q, const CGAL::Point_2< Kernel > &r)
 
CGAL::Point_2< Kernel > centroid (const CGAL::Point_2< Kernel > &p, const CGAL::Point_2< Kernel > &q, const CGAL::Point_2< Kernel > &r, const CGAL::Point_2< Kernel > &s)
 
CGAL::Point_2< Kernel > centroid (const CGAL::Triangle_2< Kernel > &t)
 
CGAL::Point_3< Kernel > centroid (const CGAL::Point_3< Kernel > &p, const CGAL::Point_3< Kernel > &q, const CGAL::Point_3< Kernel > &r)
 
CGAL::Point_3< Kernel > centroid (const CGAL::Point_3< Kernel > &p, const CGAL::Point_3< Kernel > &q, const CGAL::Point_3< Kernel > &r, const CGAL::Point_3< Kernel > &s)
 
CGAL::Point_3< Kernel > centroid (const CGAL::Triangle_3< Kernel > &t)
 
CGAL::Point_3< Kernel > centroid (const CGAL::Tetrahedron_3< Kernel > &t)
 
CGAL::Point_2< Kernel > circumcenter (const CGAL::Point_2< Kernel > &p, const CGAL::Point_2< Kernel > &q)
 
CGAL::Point_2< Kernel > circumcenter (const CGAL::Point_2< Kernel > &p, const CGAL::Point_2< Kernel > &q, const CGAL::Point_2< Kernel > &r)
 
CGAL::Point_2< Kernel > circumcenter (const CGAL::Triangle_2< Kernel > &t)
 
CGAL::Point_3< Kernel > circumcenter (const CGAL::Point_3< Kernel > &p, const CGAL::Point_3< Kernel > &q)
 
CGAL::Point_3< Kernel > circumcenter (const CGAL::Point_3< Kernel > &p, const CGAL::Point_3< Kernel > &q, const CGAL::Point_3< Kernel > &r)
 
CGAL::Point_3< Kernel > circumcenter (const CGAL::Triangle_3< Kernel > &t)
 
CGAL::Point_3< Kernel > circumcenter (const CGAL::Point_3< Kernel > &p, const CGAL::Point_3< Kernel > &q, const CGAL::Point_3< Kernel > &r, const CGAL::Point_3< Kernel > &s)
 
CGAL::Point_3< Kernel > circumcenter (const CGAL::Tetrahedron_3< Kernel > &t)
 
bool collinear_are_ordered_along_line (const CGAL::Point_2< Kernel > &p, const CGAL::Point_2< Kernel > &q, const CGAL::Point_2< Kernel > &r)
 
bool collinear_are_ordered_along_line (const CGAL::Point_3< Kernel > &p, const CGAL::Point_3< Kernel > &q, const CGAL::Point_3< Kernel > &r)
 
bool collinear_are_strictly_ordered_along_line (const CGAL::Point_2< Kernel > &p, const CGAL::Point_2< Kernel > &q, const CGAL::Point_2< Kernel > &r)
 
bool collinear_are_strictly_ordered_along_line (const CGAL::Point_3< Kernel > &p, const CGAL::Point_3< Kernel > &q, const CGAL::Point_3< Kernel > &r)
 
bool collinear (const CGAL::Point_2< Kernel > &p, const CGAL::Point_2< Kernel > &q, const CGAL::Point_2< Kernel > &r)
 
bool collinear (const CGAL::Point_3< Kernel > &p, const CGAL::Point_3< Kernel > &q, const CGAL::Point_3< Kernel > &r)
 
Comparison_result compare_dihedral_angle (const CGAL::Point_3< Kernel > &a1, const CGAL::Point_3< Kernel > &b1, const CGAL::Point_3< Kernel > &c1, const CGAL::Point_3< Kernel > &d1, const Kernel::FT &cosine)
 
Comparison_result compare_dihedral_angle (const CGAL::Point_3< Kernel > &a1, const CGAL::Point_3< Kernel > &b1, const CGAL::Point_3< Kernel > &c1, const CGAL::Point_3< Kernel > &d1, const CGAL::Point_3< Kernel > &a2, const CGAL::Point_3< Kernel > &b2, const CGAL::Point_3< Kernel > &c2, const CGAL::Point_3< Kernel > &d2)
 
Comparison_result compare_dihedral_angle (const CGAL::Vector_3< Kernel > &u1, const CGAL::Vector_3< Kernel > &v1, const CGAL::Vector_3< Kernel > &w1, const Kernel::FT &cosine)
 
Comparison_result compare_dihedral_angle (const CGAL::Vector_3< Kernel > &u1, const CGAL::Vector_3< Kernel > &v1, const CGAL::Vector_3< Kernel > &w1, const CGAL::Vector_3< Kernel > &u2, const CGAL::Vector_3< Kernel > &v2, const CGAL::Vector_3< Kernel > &w2)
 
Comparison_result compare_distance_to_point (const CGAL::Point_2< Kernel > &p, const CGAL::Point_2< Kernel > &q, const CGAL::Point_2< Kernel > &r)
 
Comparison_result compare_distance_to_point (const CGAL::Point_3< Kernel > &p, const CGAL::Point_3< Kernel > &q, const CGAL::Point_3< Kernel > &r)
 
Comparison_result compare_lexicographically (const CGAL::Point_2< Kernel > &p, const CGAL::Point_2< Kernel > &q)
 
Comparison_result compare_lexicographically (const CGAL::Point_3< Kernel > &p, const CGAL::Point_3< Kernel > &q)
 
Comparison_result compare_signed_distance_to_line (const CGAL::Line_2< Kernel > &l, const CGAL::Point_2< Kernel > &p, const CGAL::Point_2< Kernel > &q)
 
Comparison_result compare_signed_distance_to_line (const CGAL::Point_2< Kernel > &p, const CGAL::Point_2< Kernel > &q, const CGAL::Point_2< Kernel > &r, const CGAL::Point_2< Kernel > &s)
 
Comparison_result compare_signed_distance_to_plane (const CGAL::Plane_3< Kernel > &h, const CGAL::Point_3< Kernel > &p, const CGAL::Point_3< Kernel > &q)
 
Comparison_result compare_signed_distance_to_plane (const CGAL::Point_3< Kernel > &p, const CGAL::Point_3< Kernel > &q, const CGAL::Point_3< Kernel > &r, const CGAL::Point_3< Kernel > &s, const CGAL::Point_3< Kernel > &t)
 
Comparison_result compare_slope (const CGAL::Line_2< Kernel > &l1, const CGAL::Line_2< Kernel > &l2)
 
Comparison_result compare_slope (const CGAL::Segment_2< Kernel > &s1, const CGAL::Segment_2< Kernel > &s2)
 
Comparison_result compare_slope (const CGAL::Point_3< Kernel > &p, const CGAL::Point_3< Kernel > &q, const CGAL::Point_3< Kernel > &r, const CGAL::Point_3< Kernel > &s)
 
Comparison_result compare_squared_distance (const CGAL::Point_2< Kernel > &p, const CGAL::Point_2< Kernel > &q, const typename Kernel::FT &d2)
 
Comparison_result compare_squared_distance (const CGAL::Point_3< Kernel > &p, const CGAL::Point_3< Kernel > &q, const typename Kernel::FT &d2)
 
Comparison_result compare_squared_radius (const CGAL::Point_3< Kernel > &p, const typename Kernel::FT &sr)
 
Comparison_result compare_squared_radius (const CGAL::Point_3< Kernel > &p, const CGAL::Point_3< Kernel > &q, const typename Kernel::FT &sr)
 
Comparison_result compare_squared_radius (const CGAL::Point_3< Kernel > &p, const CGAL::Point_3< Kernel > &q, const CGAL::Point_3< Kernel > &r, const typename Kernel::FT &sr)
 
Comparison_result compare_squared_radius (const CGAL::Point_3< Kernel > &p, const CGAL::Point_3< Kernel > &q, const CGAL::Point_3< Kernel > &r, const CGAL::Point_3< Kernel > &s, const typename Kernel::FT &sr)
 
Comparison_result compare_x (const CGAL::Point_2< Kernel > &p, const CGAL::Point_2< Kernel > &q)
 
Comparison_result compare_x (const CGAL::Point_3< Kernel > &p, const CGAL::Point_3< Kernel > &q)
 
Comparison_result compare_x (const CGAL::Point_2< Kernel > &p, const CGAL::Line_2< Kernel > &l1, const CGAL::Line_2< Kernel > &l2)
 
Comparison_result compare_x (const CGAL::Line_2< Kernel > &l, const CGAL::Line_2< Kernel > &h1, const CGAL::Line_2< Kernel > &h2)
 
Comparison_result compare_x (const CGAL::Line_2< Kernel > &l1, const CGAL::Line_2< Kernel > &l2, const CGAL::Line_2< Kernel > &h1, const CGAL::Line_2< Kernel > &h2)
 
Comparison_result compare_x (const CGAL::Circular_arc_point_2< CircularKernel > &p, const CGAL::Circular_arc_point_2< CircularKernel > &q)
 
Comparison_result compare_x (const CGAL::Circular_arc_point_2< CircularKernel > &p, const CGAL::Point_2< CircularKernel > &q)
 
Comparison_result compare_x (const CGAL::Circular_arc_point_3< SphericalKernel > &p, const CGAL::Circular_arc_point_3< SphericalKernel > &q)
 
Comparison_result compare_x (const CGAL::Circular_arc_point_3< SphericalKernel > &p, const CGAL::Point_3< SphericalKernel > &q)
 
Comparison_result compare_xy (const CGAL::Point_2< Kernel > &p, const CGAL::Point_2< Kernel > &q)
 
Comparison_result compare_xy (const CGAL::Point_3< Kernel > &p, const CGAL::Point_3< Kernel > &q)
 
Comparison_result compare_xy (const CGAL::Circular_arc_point_2< CircularKernel > &p, const CGAL::Circular_arc_point_2< CircularKernel > &q)
 
Comparison_result compare_xy (const CGAL::Circular_arc_point_2< CircularKernel > &p, const CGAL::Point_2< CircularKernel > &q)
 
Comparison_result compare_xy (const CGAL::Circular_arc_point_3< SphericalKernel > &p, const CGAL::Circular_arc_point_3< SphericalKernel > &q)
 
Comparison_result compare_xy (const CGAL::Circular_arc_point_3< SphericalKernel > &p, const CGAL::Point_3< SphericalKernel > &q)
 
Comparison_result compare_x_at_y (const CGAL::Point_2< Kernel > &p, const CGAL::Line_2< Kernel > &h)
 
Comparison_result compare_x_at_y (const CGAL::Point_2< Kernel > &p, const CGAL::Line_2< Kernel > &h1, const CGAL::Line_2< Kernel > &h2)
 
Comparison_result compare_x_at_y (const CGAL::Line_2< Kernel > &l1, const CGAL::Line_2< Kernel > &l2, const CGAL::Line_2< Kernel > &h)
 
Comparison_result compare_x_at_y (const CGAL::Line_2< Kernel > &l1, const CGAL::Line_2< Kernel > &l2, const CGAL::Line_2< Kernel > &h1, const CGAL::Line_2< Kernel > &h2)
 
Comparison_result compare_y_at_x (const CGAL::Point_2< Kernel > &p, const CGAL::Line_2< Kernel > &h)
 
Comparison_result compare_y_at_x (const CGAL::Point_2< Kernel > &p, const CGAL::Line_2< Kernel > &h1, const CGAL::Line_2< Kernel > &h2)
 
Comparison_result compare_y_at_x (const CGAL::Line_2< Kernel > &l1, const CGAL::Line_2< Kernel > &l2, const CGAL::Line_2< Kernel > &h)
 
Comparison_result compare_y_at_x (const CGAL::Line_2< Kernel > &l1, const CGAL::Line_2< Kernel > &l2, const CGAL::Line_2< Kernel > &h1, const CGAL::Line_2< Kernel > &h2)
 
Comparison_result compare_y_at_x (const CGAL::Point_2< Kernel > &p, const CGAL::Segment_2< Kernel > &s)
 
Comparison_result compare_y_at_x (const CGAL::Point_2< Kernel > &p, const CGAL::Segment_2< Kernel > &s1, const CGAL::Segment_2< Kernel > &s2)
 
Comparison_result compare_y (const CGAL::Point_2< Kernel > &p, const CGAL::Point_2< Kernel > &q)
 
Comparison_result compare_y (const CGAL::Point_3< Kernel > &p, const CGAL::Point_3< Kernel > &q)
 
Comparison_result compare_y (const CGAL::Point_2< Kernel > &p, const CGAL::Line_2< Kernel > &l1, const CGAL::Line_2< Kernel > &l2)
 
Comparison_result compare_y (const CGAL::Line_2< Kernel > &l, const CGAL::Line_2< Kernel > &h1, const CGAL::Line_2< Kernel > &h2)
 
Comparison_result compare_y (const CGAL::Line_2< Kernel > &l1, const CGAL::Line_2< Kernel > &l2, const CGAL::Line_2< Kernel > &h1, const CGAL::Line_2< Kernel > &h2)
 
Comparison_result compare_y (const CGAL::Circular_arc_point_2< CircularKernel > &p, const CGAL::Circular_arc_point_2< CircularKernel > &q)
 
Comparison_result compare_y (const CGAL::Circular_arc_point_2< CircularKernel > &p, const CGAL::Point_2< CircularKernel > &q)
 
Comparison_result compare_y (const CGAL::Circular_arc_point_3< SphericalKernel > &p, const CGAL::Circular_arc_point_3< SphericalKernel > &q)
 
Comparison_result compare_y (const CGAL::Circular_arc_point_3< SphericalKernel > &p, const CGAL::Point_3< SphericalKernel > &q)
 
Comparison_result compare_xyz (const CGAL::Point_3< Kernel > &p, const CGAL::Point_3< Kernel > &q)
 
Comparison_result compare_xyz (const CGAL::Circular_arc_point_3< SphericalKernel > &p, const CGAL::Circular_arc_point_3< SphericalKernel > &q)
 
Comparison_result compare_xyz (const CGAL::Circular_arc_point_3< SphericalKernel > &p, const CGAL::Point_3< SphericalKernel > &q)
 
Comparison_result compare_z (const CGAL::Point_3< Kernel > &p, const CGAL::Point_3< Kernel > &q)
 
Comparison_result compare_z (const CGAL::Circular_arc_point_3< SphericalKernel > &p, const CGAL::Circular_arc_point_3< SphericalKernel > &q)
 
Comparison_result compare_z (const CGAL::Circular_arc_point_3< SphericalKernel > &p, const CGAL::Point_3< SphericalKernel > &q)
 
Comparison_result compare_yx (const CGAL::Point_2< Kernel > &p, const CGAL::Point_2< Kernel > &q)
 
bool coplanar (const CGAL::Point_3< Kernel > &p, const CGAL::Point_3< Kernel > &q, const CGAL::Point_3< Kernel > &r, const CGAL::Point_3< Kernel > &s)
 
Orientation coplanar_orientation (const CGAL::Point_3< Kernel > &p, const CGAL::Point_3< Kernel > &q, const CGAL::Point_3< Kernel > &r, const CGAL::Point_3< Kernel > &s)
 
Orientation coplanar_orientation (const CGAL::Point_3< Kernel > &p, const CGAL::Point_3< Kernel > &q, const CGAL::Point_3< Kernel > &r)
 
Bounded_side coplanar_side_of_bounded_circle (const CGAL::Point_3< Kernel > &p, const CGAL::Point_3< Kernel > &q, const CGAL::Point_3< Kernel > &r, const CGAL::Point_3< Kernel > &s)
 
CGAL::Vector_3< Kernel > cross_product (const CGAL::Vector_3< Kernel > &u, const CGAL::Vector_3< Kernel > &v)
 
Kernel::FT determinant (const CGAL::Vector_2< Kernel > &v, const CGAL::Vector_2< Kernel > &w)
 
Kernel::FT determinant (const CGAL::Vector_3< Kernel > &u, const CGAL::Vector_3< Kernel > &v, const CGAL::Vector_3< Kernel > &w)
 
CGAL::Line_3< Kernel > equidistant_line (const CGAL::Point_3< Kernel > &p, const CGAL::Point_3< Kernel > &q, const CGAL::Point_3< Kernel > &r)
 
bool has_larger_distance_to_point (const CGAL::Point_2< Kernel > &p, const CGAL::Point_2< Kernel > &q, const CGAL::Point_2< Kernel > &r)
 
bool has_larger_distance_to_point (const CGAL::Point_3< Kernel > &p, const CGAL::Point_3< Kernel > &q, const CGAL::Point_3< Kernel > &r)
 
bool has_larger_signed_distance_to_line (const CGAL::Line_2< Kernel > &l, const CGAL::Point_2< Kernel > &p, const CGAL::Point_2< Kernel > &q)
 
bool has_larger_signed_distance_to_line (const CGAL::Point_2< Kernel > &p, const CGAL::Point_2< Kernel > &q, const CGAL::Point_2< Kernel > &r, const CGAL::Point_2< Kernel > &s)
 
bool has_larger_signed_distance_to_plane (const CGAL::Plane_3< Kernel > &h, const CGAL::Point_3< Kernel > &p, const CGAL::Point_3< Kernel > &q)
 
bool has_larger_signed_distance_to_plane (const CGAL::Point_3< Kernel > &p, const CGAL::Point_3< Kernel > &q, const CGAL::Point_3< Kernel > &r, const CGAL::Point_3< Kernel > &s, const CGAL::Point_3< Kernel > &t)
 
bool has_smaller_distance_to_point (const CGAL::Point_2< Kernel > &p, const CGAL::Point_2< Kernel > &q, const CGAL::Point_2< Kernel > &r)
 
bool has_smaller_distance_to_point (const CGAL::Point_3< Kernel > &p, const CGAL::Point_3< Kernel > &q, const CGAL::Point_3< Kernel > &r)
 
bool has_smaller_signed_distance_to_line (const CGAL::Line_2< Kernel > &l, const CGAL::Point_2< Kernel > &p, const CGAL::Point_2< Kernel > &q)
 
bool has_smaller_signed_distance_to_line (const CGAL::Point_2< Kernel > &p, const CGAL::Point_2< Kernel > &q, const CGAL::Point_2< Kernel > &r, const CGAL::Point_2< Kernel > &s)
 
bool has_smaller_signed_distance_to_plane (const CGAL::Plane_3< Kernel > &h, const CGAL::Point_3< Kernel > &p, const CGAL::Point_3< Kernel > &q)
 
bool has_smaller_signed_distance_to_plane (const CGAL::Point_3< Kernel > &p, const CGAL::Point_3< Kernel > &q, const CGAL::Point_3< Kernel > &r, const CGAL::Point_3< Kernel > &s, const CGAL::Point_3< Kernel > &t)
 
Kernel::FT l_infinity_distance (const CGAL::Point_2< Kernel > &p, const CGAL::Point_2< Kernel > &q)
 
Kernel::FT l_infinity_distance (const CGAL::Point_3< Kernel > &p, const CGAL::Point_3< Kernel > &q)
 
bool left_turn (const CGAL::Point_2< Kernel > &p, const CGAL::Point_2< Kernel > &q, const CGAL::Point_2< Kernel > &r)
 
bool lexicographically_xy_larger (const CGAL::Point_2< Kernel > &p, const CGAL::Point_2< Kernel > &q)
 
bool lexicographically_xy_larger_or_equal (const CGAL::Point_2< Kernel > &p, const CGAL::Point_2< Kernel > &q)
 
bool lexicographically_xy_smaller (const CGAL::Point_2< Kernel > &p, const CGAL::Point_2< Kernel > &q)
 
bool lexicographically_xy_smaller_or_equal (const CGAL::Point_2< Kernel > &p, const CGAL::Point_2< Kernel > &q)
 
bool lexicographically_xyz_smaller (const CGAL::Point_3< Kernel > &p, const CGAL::Point_3< Kernel > &q)
 
bool lexicographically_xyz_smaller_or_equal (const CGAL::Point_3< Kernel > &p, const CGAL::Point_3< Kernel > &q)
 
CGAL::Point_2< Kernel > max_vertex (const CGAL::Iso_rectangle_2< Kernel > &ir)
 
CGAL::Point_3< Kernel > max_vertex (const CGAL::Iso_cuboid_3< Kernel > &ic)
 
CGAL::Point_2< Kernel > midpoint (const CGAL::Point_2< Kernel > &p, const CGAL::Point_2< Kernel > &q)
 
CGAL::Point_3< Kernel > midpoint (const CGAL::Point_3< Kernel > &p, const CGAL::Point_3< Kernel > &q)
 
CGAL::Point_2< Kernel > min_vertex (const CGAL::Iso_rectangle_2< Kernel > &ir)
 
CGAL::Point_3< Kernel > min_vertex (const CGAL::Iso_cuboid_3< Kernel > &ic)
 
CGAL::Vector_3< Kernel > normal (const CGAL::Point_3< Kernel > &p, const CGAL::Point_3< Kernel > &q, const CGAL::Point_3< Kernel > &r)
 
Orientation orientation (const CGAL::Point_2< Kernel > &p, const CGAL::Point_2< Kernel > &q, const CGAL::Point_2< Kernel > &r)
 
Orientation orientation (const CGAL::Vector_2< Kernel > &u, const CGAL::Vector_2< Kernel > &v)
 
Orientation orientation (const CGAL::Point_3< Kernel > &p, const CGAL::Point_3< Kernel > &q, const CGAL::Point_3< Kernel > &r, const CGAL::Point_3< Kernel > &s)
 
Orientation orientation (const CGAL::Vector_3< Kernel > &u, const CGAL::Vector_3< Kernel > &v, const CGAL::Vector_3< Kernel > &w)
 
CGAL::Vector_3< Kernel > orthogonal_vector (const CGAL::Plane_3< Kernel > &p)
 
CGAL::Vector_3< Kernel > orthogonal_vector (const CGAL::Point_3< Kernel > &p, const CGAL::Point_3< Kernel > &q, const CGAL::Point_3< Kernel > &r)
 
bool parallel (const CGAL::Line_2< Kernel > &l1, const CGAL::Line_2< Kernel > &l2)
 
bool parallel (const CGAL::Ray_2< Kernel > &r1, const CGAL::Ray_2< Kernel > &r2)
 
bool parallel (const CGAL::Segment_2< Kernel > &s1, const CGAL::Segment_2< Kernel > &s2)
 
bool parallel (const CGAL::Line_3< Kernel > &l1, const CGAL::Line_3< Kernel > &l2)
 
bool parallel (const CGAL::Plane_3< Kernel > &h1, const CGAL::Plane_3< Kernel > &h2)
 
bool parallel (const CGAL::Ray_3< Kernel > &r1, const CGAL::Ray_3< Kernel > &r2)
 
bool parallel (const CGAL::Segment_3< Kernel > &s1, const CGAL::Segment_3< Kernel > &s2)
 
CGAL::Plane_3< Kernel > radical_plane (const CGAL::Sphere_3< Kernel > &s1, const CGAL::Sphere_3< Kernel > &s2)
 
CGAL::Line_2< Kernel > radical_line (const CGAL::Circle_2< Kernel > &c1, const CGAL::Circle_2< Kernel > &c2)
 
bool right_turn (const CGAL::Point_2< Kernel > &p, const CGAL::Point_2< Kernel > &q, const CGAL::Point_2< Kernel > &r)
 
Kernel::FT scalar_product (const CGAL::Vector_2< Kernel > &u, const CGAL::Vector_2< Kernel > &v)
 
Kernel::FT scalar_product (const CGAL::Vector_3< Kernel > &u, const CGAL::Vector_3< Kernel > &v)
 
Bounded_side side_of_bounded_circle (const CGAL::Point_2< Kernel > &p, const CGAL::Point_2< Kernel > &q, const CGAL::Point_2< Kernel > &r, const CGAL::Point_2< Kernel > &t)
 
Bounded_side side_of_bounded_circle (const CGAL::Point_2< Kernel > &p, const CGAL::Point_2< Kernel > &q, const CGAL::Point_2< Kernel > &t)
 
Bounded_side side_of_bounded_sphere (const CGAL::Point_3< Kernel > &p, const CGAL::Point_3< Kernel > &q, const CGAL::Point_3< Kernel > &r, const CGAL::Point_3< Kernel > &s, const CGAL::Point_3< Kernel > &t)
 
Bounded_side side_of_bounded_sphere (const CGAL::Point_3< Kernel > &p, const CGAL::Point_3< Kernel > &q, const CGAL::Point_3< Kernel > &r, const CGAL::Point_3< Kernel > &t)
 
Bounded_side side_of_bounded_sphere (const CGAL::Point_3< Kernel > &p, const CGAL::Point_3< Kernel > &q, const CGAL::Point_3< Kernel > &t)
 
Oriented_side side_of_oriented_circle (const CGAL::Point_2< Kernel > &p, const CGAL::Point_2< Kernel > &q, const CGAL::Point_2< Kernel > &r, const CGAL::Point_2< Kernel > &test)
 
Oriented_side side_of_oriented_sphere (const CGAL::Point_3< Kernel > &p, const CGAL::Point_3< Kernel > &q, const CGAL::Point_3< Kernel > &r, const CGAL::Point_3< Kernel > &s, const CGAL::Point_3< Kernel > &test)
 
Kernel::FT squared_area (const CGAL::Point_3< Kernel > &p, const CGAL::Point_3< Kernel > &q, const CGAL::Point_3< Kernel > &r)
 
FT squared_radius (const CGAL::Point_2< Kernel > &p, const CGAL::Point_2< Kernel > &q, const CGAL::Point_2< Kernel > &r)
 
FT squared_radius (const CGAL::Point_2< Kernel > &p, const CGAL::Point_2< Kernel > &q)
 
FT squared_radius (const CGAL::Point_2< Kernel > &p)
 
FT squared_radius (const CGAL::Point_3< Kernel > &p, const CGAL::Point_3< Kernel > &q, const CGAL::Point_3< Kernel > &r, const CGAL::Point_3< Kernel > &s)
 
FT squared_radius (const CGAL::Point_3< Kernel > &p, const CGAL::Point_3< Kernel > &q, const CGAL::Point_3< Kernel > &r)
 
FT squared_radius (const CGAL::Point_3< Kernel > &p, const CGAL::Point_3< Kernel > &q)
 
FT squared_radius (const CGAL::Point_3< Kernel > &p)
 
CGAL::Vector_3< Kernel > unit_normal (const CGAL::Point_3< Kernel > &p, const CGAL::Point_3< Kernel > &q, const CGAL::Point_3< Kernel > &r)
 
Kernel::FT volume (const CGAL::Point_3< Kernel > &p0, const CGAL::Point_3< Kernel > &p1, const CGAL::Point_3< Kernel > &p2, const CGAL::Point_3< Kernel > &p3)
 
bool x_equal (const CGAL::Point_2< Kernel > &p, const CGAL::Point_2< Kernel > &q)
 
bool x_equal (const CGAL::Point_3< Kernel > &p, const CGAL::Point_3< Kernel > &q)
 
bool y_equal (const CGAL::Point_2< Kernel > &p, const CGAL::Point_2< Kernel > &q)
 
bool y_equal (const CGAL::Point_3< Kernel > &p, const CGAL::Point_3< Kernel > &q)
 
bool z_equal (const CGAL::Point_3< Kernel > &p, const CGAL::Point_3< Kernel > &q)
 
void rational_rotation_approximation (const RingNumberType &dirx, const RingNumberType &diry, RingNumberType &sin_num, RingNumberType &cos_num, RingNumberType &denom, const RingNumberType &eps_num, const RingNumberType &eps_den)
 
Kernel::FT squared_distance (Type1< Kernel > obj1, Type2< Kernel > obj2)
 
Point_2< Homogeneous< RT > > cartesian_to_homogeneous (const Point_2< Cartesian< RT > > &cp)
 
Point_3< Homogeneous< RT > > cartesian_to_homogeneous (const Point_3< Cartesian< RT > > &cp)
 
Point_2< Cartesian< FT > > homogeneous_to_cartesian (const Point_2< Homogeneous< FT > > &hp)
 
Point_3< Cartesian< FT > > homogeneous_to_cartesian (const Point_3< Homogeneous< FT > > &hp)
 
Point_2< Cartesian< Quotient< RT > > > homogeneous_to_quotient_cartesian (const Point_2< Homogeneous< RT > > &hp)
 
Point_3< Cartesian< Quotient< RT > > > homogeneous_to_quotient_cartesian (const Point_3< Homogeneous< RT > > &hp)
 
Point_2< Homogeneous< RT > > quotient_cartesian_to_homogeneous (const Point_2< Cartesian< Quotient< RT > > > &cp)
 
Point_3< Homogeneous< RT > > quotient_cartesian_to_homogeneous (const Point_3< Cartesian< Quotient< RT > > > &cp)
 
bool do_intersect (Type1< CircularKernel > obj1, Type2< CircularKernel > obj2)
 
OutputIterator intersection (const Type1 &obj1, const Type2 &obj2, OutputIterator intersections)
 
Comparison_result compare_y_at_x (const CGAL::Circular_arc_point_2< CircularKernel > &p, const CGAL::Circular_arc_2< CircularKernel > &a)
 
Comparison_result compare_y_at_x (const CGAL::Circular_arc_point_2< CircularKernel > &p, const CGAL::Line_arc_2< CircularKernel > &a)
 
bool do_intersect (Type1< SphericalKernel > obj1, Type2< SphericalKernel > obj2)
 
bool do_intersect (Type1< SphericalKernel > obj1, Type2< SphericalKernel > obj2, Type3< SphericalKernel > obj3)
 
OutputIterator intersection (const SphericalType1 &obj1, const SphericalType2 &obj2, OutputIterator intersections)
 
OutputIterator intersection (const Type1 &obj1, const Type2 &obj2, const Type3 &obj3, OutputIterator intersections)
 
Point_d< R > center_of_sphere (ForwardIterator first, ForwardIterator last)
 
Point_d< R > lift_to_paraboloid (const Point_d< R > &p)
 
OutputIterator linear_base (ForwardIterator first, ForwardIterator last, OutputIterator result)
 
Point_d< R > midpoint (const Point_d< R > &p, const Point_d< R > &q)
 
Point_d< R > project_along_d_axis (const Point_d< R > &p)
 
FT squared_distance (Point_d< R > p, Point_d< R > q)
 
bool do_intersect (Type1< R > obj1, Type2< R > obj2)
 
cpp11::result_of< R::Intersect_d(Type1< R >, Type2< R >)>::type intersection (Type1< R > f1, Type2< R > f2)
 
bool affinely_independent (ForwardIterator first, ForwardIterator last)
 
int affine_rank (ForwardIterator first, ForwardIterator last)
 
Comparison_result compare_lexicographically (const Point_d< R > &p, const Point_d< R > &q)
 
bool contained_in_affine_hull (ForwardIterator first, ForwardIterator last, const Point_d< R > &p)
 
bool contained_in_linear_hull (ForwardIterator first, ForwardIterator last, const Vector_d< R > &v)
 
bool contained_in_simplex (ForwardIterator first, ForwardIterator last, const Point_d< R > &p)
 
bool lexicographically_smaller (const Point_d< R > &p, const Point_d< R > &q)
 
bool lexicographically_smaller_or_equal (const Point_d< R > &p, const Point_d< R > &q)
 
bool linearly_independent (ForwardIterator first, ForwardIterator last)
 
int linear_rank (ForwardIterator first, ForwardIterator last)
 
Orientation orientation (ForwardIterator first, ForwardIterator last)
 
Bounded_side side_of_bounded_sphere (ForwardIterator first, ForwardIterator last, const Point_d< R > &p)
 
Oriented_side side_of_oriented_sphere (ForwardIterator first, ForwardIterator last, const Point_d< R > &p)
 
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)
 
CGAL::Circle_type classify (const CGAL::Circle_3< SphericalKernel > &c, const CGAL::Sphere_3< SphericalKernel > &sphere)
 
Comparison_result compare_theta (const CGAL::Circular_arc_point_3< SphericalKernel > &p, const CGAL::Circular_arc_point_3< SphericalKernel > &q, const CGAL::Sphere_3< SphericalKernel > &sphere)
 
Comparison_result compare_theta (const CGAL::Circular_arc_point_3< SphericalKernel > &p, const CGAL::Vector_3< SphericalKernel > &m, const CGAL::Sphere_3< SphericalKernel > &sphere)
 
Comparison_result compare_theta (const CGAL::Vector_3< SphericalKernel > &m, const CGAL::Circular_arc_point_3< SphericalKernel > &p, const CGAL::Sphere_3< SphericalKernel > &sphere)
 
bool compare_theta_z (const CGAL::Circular_arc_point_3< SphericalKernel > &p, const CGAL::Circular_arc_point_3< SphericalKernel > &q, const CGAL::Sphere_3< SphericalKernel > &sphere)
 
bool is_theta_monotone (const CGAL::Circular_arc_3< SphericalKernel > &a, const CGAL::Sphere_3< SphericalKernel > &sphere)
 
CGAL::Circular_arc_point_3< SphericalKernel > theta_extremal_point (const CGAL::Circle_3< SphericalKernel > &c, const CGAL::Sphere_3< SphericalKernel > sphere, bool b)
 
OutputIterator theta_extremal_points (const CGAL::Circle_3< SphericalKernel > &c, const CGAL::Sphere_3< SphericalKernel > &sphere, OutputIterator res)
 
CGAL::Circular_arc_point_3< SphericalKernel > x_extremal_point (const CGAL::Sphere_3< SphericalKernel > &c, bool b)
 
CGAL::Circular_arc_point_3< SphericalKernel > x_extremal_point (const CGAL::Circle_3< SphericalKernel > &c, bool b)
 
OutputIterator x_extremal_points (const CGAL::Sphere_3< SphericalKernel > &c, OutputIterator res)
 
OutputIterator x_extremal_points (const CGAL::Circle_3< SphericalKernel > &c, OutputIterator res)
 
CGAL::Circular_arc_point_3< SphericalKernel > y_extremal_point (const CGAL::Sphere_3< SphericalKernel > &c, bool b)
 
CGAL::Circular_arc_point_3< SphericalKernel > y_extremal_point (const CGAL::Circle_3< SphericalKernel > &c, bool b)
 
OutputIterator y_extremal_points (const CGAL::Sphere_3< SphericalKernel > &c, OutputIterator res)
 
OutputIterator y_extremal_points (const CGAL::Circle_3< SphericalKernel > &c, OutputIterator res)
 
CGAL::Circular_arc_point_3< SphericalKernel > z_extremal_point (const CGAL::Sphere_3< SphericalKernel > &c, bool b)
 
CGAL::Circular_arc_point_3< SphericalKernel > z_extremal_point (const CGAL::Circle_3< SphericalKernel > &c, bool b)
 
OutputIterator z_extremal_points (const CGAL::Sphere_3< SphericalKernel > &c, OutputIterator res)
 
OutputIterator z_extremal_points (const CGAL::Circle_3< SphericalKernel > &c, OutputIterator res)
 
OutputIterator ch_akl_toussaint (ForwardIterator first, ForwardIterator beyond, OutputIterator result, const Traits &ch_traits=Default_traits())
 
OutputIterator ch_bykat (InputIterator first, InputIterator beyond, OutputIterator result, const Traits &ch_traits=Default_traits)
 
OutputIterator ch_eddy (InputIterator first, InputIterator beyond, OutputIterator result, const Traits &ch_traits=Default_traits)
 
OutputIterator ch_graham_andrew (InputIterator first, InputIterator beyond, OutputIterator result, const Traits &ch_traits=Default_traits)
 
OutputIterator ch_graham_andrew_scan (BidirectionalIterator first, BidirectionalIterator beyond, OutputIterator result, const Traits &ch_traits=Default_traits)
 
OutputIterator ch_jarvis (InputIterator first, InputIterator beyond, OutputIterator result, const Traits &ch_traits=Default_traits)
 
OutputIterator ch_jarvis_march (ForwardIterator first, ForwardIterator beyond, const Traits::Point_2 &start_p, const Traits::Point_2 &stop_p, OutputIterator result, const Traits &ch_traits=Default_traits)
 
OutputIterator ch_melkman (InputIterator first, InputIterator last, OutputIterator result, const Traits &ch_traits=Default_traits)
 
void ch_e_point (ForwardIterator first, ForwardIterator beyond, ForwardIterator &e, const Traits &ch_traits=Default_traits)
 
void ch_n_point (ForwardIterator first, ForwardIterator beyond, ForwardIterator &n, const Traits &ch_traits=Default_traits)
 
void ch_ns_point (ForwardIterator first, ForwardIterator beyond, ForwardIterator &n, ForwardIterator &s, const Traits &ch_traits=Default_traits)
 
void ch_nswe_point (ForwardIterator first, ForwardIterator beyond, ForwardIterator &n, ForwardIterator &s, ForwardIterator &w, ForwardIterator &e, const Traits &ch_traits=Default_traits)
 
void ch_s_point (ForwardIterator first, ForwardIterator beyond, ForwardIterator &s, const Traits &ch_traits=Default_traits)
 
void ch_we_point (ForwardIterator first, ForwardIterator beyond, ForwardIterator &w, ForwardIterator &e, const Traits &ch_traits=Default_traits)
 
void ch_w_point (ForwardIterator first, ForwardIterator beyond, ForwardIterator &w, const Traits &ch_traits=Default_traits)
 
OutputIterator convex_hull_2 (InputIterator first, InputIterator beyond, OutputIterator result, const Traits &ch_traits)
 
OutputIterator convex_hull_2 (InputIterator first, InputIterator beyond, OutputIterator result)
 
OutputIterator lower_hull_points_2 (InputIterator first, InputIterator beyond, OutputIterator result, const Traits &ch_traits=Default_traits)
 
OutputIterator upper_hull_points_2 (InputIterator first, InputIterator beyond, OutputIterator result, const Traits &ch_traits=Default_traits)
 
bool is_ccw_strongly_convex_2 (ForwardIterator first, ForwardIterator beyond, const Traits &ch_traits=Default_traits)
 
bool is_cw_strongly_convex_2 (ForwardIterator first, ForwardIterator beyond, const Traits &ch_traits=Default_traits)
 
void halfspace_intersection_3 (PlaneIterator begin, PlaneIterator end, PolygonMesh &pm, boost::optional< Kernel_traits< std::iterator_traits< PlaneIterator >::value_type >::Kernel::Point_3 > > origin=boost::none)
 
void halfspace_intersection_with_constructions_3 (PlaneIterator pbegin, PlaneIterator pend, PolygonMesh &pm, boost::optional< Kernel_traits< std::iterator_traits< PlaneIterator >::value_type >::Kernel::Point_3 > > origin=boost::none, const Traits &ch_traits=Default_traits)
 
void convex_hull_3 (InputIterator first, InputIterator last, PolygonMesh &pm, const Traits &ch_traits=Default_traits)
 
void convex_hull_3 (InputIterator first, InputIterator last, Object &ch_object, const Traits &ch_traits=Default_traits)
 
OutputIterator extreme_points_3 (InputRange range, OutputIterator out, const Traits &traits)
 
void convex_hull_3_to_face_graph (const Triangulation &T, PolygonMesh &pm)
 
void convex_hull_3_to_polyhedron_3 (const Triangulation &T, Polyhedron &P)
 
bool is_strongly_convex_3 (PolygonMesh &pm, const Traits &traits=Default_traits)
 
Extreme_points_traits_adapter_3< PointPropertyMap, Base_traits > make_extreme_points_traits_adapter (const PointPropertyMap &pmap, Base_traits traits)
 
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_y_monotone_2 (InputIterator first, InputIterator beyond, const Traits &traits)
 
OutputIterator approx_convex_partition_2 (InputIterator first, InputIterator beyond, OutputIterator result, const Traits &traits=Default_traits)
 
OutputIterator greene_approx_convex_partition_2 (InputIterator first, InputIterator beyond, OutputIterator result, const Traits &traits=Default_traits)
 
OutputIterator optimal_convex_partition_2 (InputIterator first, InputIterator beyond, OutputIterator result, const Traits &traits=Default_traits)
 
OutputIterator y_monotone_partition_2 (InputIterator first, InputIterator beyond, OutputIterator result, const Traits &traits=Default_traits)
 
bool convex_partition_is_valid_2 (InputIterator point_first, InputIterator point_beyond, ForwardIterator poly_first, ForwardIterator poly_beyond, const Traits &traits=Default_traits)
 
bool partition_is_valid_2 (InputIterator point_first, InputIterator point_beyond, ForwardIterator poly_first, ForwardIterator poly_beyond, const Traits &traits=Default_traits)
 
bool y_monotone_partition_is_valid_2 (InputIterator point_first, InputIterator point_beyond, ForwardIterator poly_first, ForwardIterator poly_beyond, const Traits &traits=Default_traits)
 
bool arrange_offset_polygons_2 (InputPolygonPtrIterator begin, InputPolygonPtrIterator end, OutputPolygonWithHolesPtrIterator out, K const &k)
 
boost::optional< typename Traits::FT > compute_outer_frame_margin (InputIterator first, InputIterator beyond, typename Traits::FT offset, Traits const &traits=Default_traits)
 
std::vector< boost::shared_ptr< Polygon > > create_offset_polygons_2 (FT offset, StraightSkeleton const &s,, K const &k=Exact_predicates_inexact_constructions_kernel)
 
std::vector< boost::shared_ptr< Polygon > > create_exterior_skeleton_and_offset_polygons_2 (FT offset, Polygon const &poly, OffsettingK ofk=Exact_predicates_inexact_constructions_kernel, SkeletonK ssk=Exact_predicates_inexact_constructions_kernel)
 
std::vector< boost::shared_ptr< Polygon > > create_interior_skeleton_and_offset_polygons_2 (FT offset, Polygon const &outer_boundary, HoleIterator holes_begin, HoleIterator holes_end, OffsettingK ofk=CGAL::Exact_predicates_inexact_constructions_kernel, SkeletonK ssk=CGAL::Exact_predicates_inexact_constructions_kernel)
 
std::vector< boost::shared_ptr< Polygon > > create_interior_skeleton_and_offset_polygons_2 (FT offset, Polygon const &poly, OffsettingK ofk=CGAL::Exact_predicates_inexact_constructions_kernel, SkeletonK ssk=CGAL::Exact_predicates_inexact_constructions_kernel)
 
std::vector< boost::shared_ptr< Polygon_with_holes_2< OffsettingK, C > > > create_exterior_skeleton_and_offset_polygons_with_holes_2 (FT offset, CGAL::Polygon_2< OffsettingK, C > poly_with_holes, OffsettingK ofk=Exact_predicates_inexact_constructions_kernel, SkeletonK ssk=Exact_predicates_inexact_constructions_kernel)
 
std::vector< boost::shared_ptr< Polygon_2< OffsettingK, C > > > create_interior_skeleton_and_offset_polygons_2 (FT offset, CGAL::Polygon_with_holes< OffsettingK, C > poly_with_holes, OffsettingK ofk=CGAL::Exact_predicates_inexact_constructions_kernel, SkeletonK ssk=CGAL::Exact_predicates_inexact_constructions_kernel)
 
std::vector< boost::shared_ptr< Polygon_with_holes_2< OffsettingK, C > > > create_interior_skeleton_and_offset_polygons_with_holes_2 (FT offset, CGAL::Polygon_2< OffsettingK, C > poly, OffsettingK ofk=CGAL::Exact_predicates_inexact_constructions_kernel, SkeletonK ssk=CGAL::Exact_predicates_inexact_constructions_kernel)
 
std::vector< boost::shared_ptr< Polygon_with_holes_2< OffsettingK, C > > > create_interior_skeleton_and_offset_polygons_with_holes_2 (FT offset, CGAL::Polygon_with_holes_2< OffsettingK, C > poly_with_holes, OffsettingK ofk=CGAL::Exact_predicates_inexact_constructions_kernel, SkeletonK ssk=CGAL::Exact_predicates_inexact_constructions_kernel)
 
boost::shared_ptr< Straight_skeleton_2< K > > create_exterior_straight_skeleton_2 (FT max_offset, PointIterator vertices_begin, PointIterator vertices_end, K const &k=Exact_predicates_inexact_constructions_kernel)
 
boost::shared_ptr< Straight_skeleton_2< K > > create_exterior_straight_skeleton_2 (FT max_offset, Polygon P, K const &k=Exact_predicates_inexact_constructions_kernel)
 
boost::shared_ptr< Straight_skeleton_2< K > > create_interior_straight_skeleton_2 (PointIterator outer_contour_vertices_begin, PointIterator outer_contour_vertices_end, HoleIterator holes_begin, HoleIterator holes_end, K const &k=Exact_predicates_inexact_constructions_kernel)
 
boost::shared_ptr< Straight_skeleton_2< K > > create_interior_straight_skeleton_2 (PointIterator outer_contour_vertices_begin, PointIterator outer_contour_vertices_end, K const &k=Exact_predicates_inexact_constructions_kernel)
 
boost::shared_ptr< Straight_skeleton_2< K > > create_interior_straight_skeleton_2 (Polygon const &outer_contour, K const &k=Exact_predicates_inexact_constructions_kernel)
 
boost::shared_ptr< Straight_skeleton_2< K > > create_interior_straight_skeleton_2 (Polygon_with_holes< K, C > poly_with_holes, K const &k=Exact_predicates_inexact_constructions_kernel)
 
boost::shared_ptr< Target_skeleton, Source_skeleton, Items_converter > convert_straight_skeleton_2 (Source_skeleton const &s, Items_converted const &ic=Items_converter())
 
OutputIterator approximated_inset_2 (const Polygon_2< Kernel, Container > &pgn, const typename Kernel::FT &r, const double &eps, OutputIterator oi)
 
Gps_circle_segment_traits_2< Kernel >::Polygon_with_holes_2 approximated_offset_2 (const Polygon_2< Kernel, Container > &P, const typename Kernel::FT &r, const double &eps)
 
Gps_circle_segment_traits_2< Kernel >::Polygon_with_holes_2 approximated_offset_2 (const Polygon_with_holes_2< Kernel, Container > &wh, const typename Kernel::FT &r, const double &eps)
 
Gps_circle_segment_traits_2< Kernel >::Polygon_with_holes_2 approximated_offset_2 (const Polygon_2< Kernel, Container > &P, const typename Kernel::FT &r, const double &eps, const DecompositionStrategy &decomp)
 
Polygon_with_holes_2< Kernel, Container > minkowski_sum_2 (const PolygonType1< Kernel, Container > &P, const PolygonType2< Kernel, Container > &Q)
 
Polygon_with_holes_2< Kernel, Container > minkowski_sum_by_reduced_convolution_2 (const PolygonType1< Kernel, Container > &P, const PolygonType2< Kernel, Container > &Q)
 
Polygon_with_holes_2< Kernel, Container > minkowski_sum_by_full_convolution_2 (const Polygon_2< Kernel, Container > &P, const Polygon_2< Kernel, Container > &Q)
 
Polygon_with_holes_2< Kernel, Container > minkowski_sum_2 (const PolygonType1< Kernel, Container > &P, const PolygonType2< Kernel, Container > &Q, const PolygonConvexDecompositionP_2_ &decomp_P, const PolygonConvexDecompositionQ_2_ &decomp_Q, const Gps_segment_traits_2 &traits=Gps_segment_traits_2< Kernel, Container, Arr_segment_traits >())
 
Polygon_with_holes_2< Kernel, Container > minkowski_sum_2 (const PolygonType1< Kernel, Container > &P, const PolygonType2< Kernel, Container > &Q, const PolygonConvexDecomposition_2_ &decomp, const Gps_segment_traits_2 &traits=Gps_segment_traits_2< Kernel, Container, Arr_segment_traits >())
 
Polygon_with_holes_2< Kernel, Container > minkowski_sum_by_decomposition_2 (const PolygonType1< Kernel, Container > &P, const PolygonType2< Kernel, Container > &Q, const PolygonNoHolesConvexDecomposition_2_ &no_holes_decomp, const PolygonWithHolesConvexDecomposition_2_ &with_holes_decomp, const Gps_segment_traits_2 &traits=Gps_segment_traits_2< Kernel, Container, Arr_segment_traits >())
 
OutputIterator inset_polygon_2 (const Polygon_2< typename ConicTraits::Rat_kernel, Container > &P, const typename ConicTraits::Rat_kernel::FT &r, const ConicTraits &traits, OutputIterator oi)
 
Gps_traits_2< ConicTraits >::Polygon_with_holes_2 offset_polygon_2 (const Polygon_2< typename ConicTraits::Rat_kernel, Container > &P, const typename ConicTraits::Rat_kernel::FT &r, const ConicTraits &traits)
 
Gps_traits_2< ConicTraits >::Polygon_with_holes_2 offset_polygon_2 (const Polygon_with_holes_2< typename ConicTraits::Rat_kernel, Container > &pwh, const typename ConicTraits::Rat_kernel::FT &r, const ConicTraits &traits)
 
Gps_traits_2< ConicTraits >::Polygon_with_holes_2 offset_polygon_2 (const Polygon_2< typename ConicTraits::Rat_kernel, Container > &P, const typename ConicTraits::Rat_kernel::FT &r, const DecompositionStrategy &decomp, const ConicTraits &traits)
 
void draw (const POLY &apoly)
 
bool read_off (Surface_mesh< K > &mesh, const std::string &filename)
 
bool write_off (const Surface_mesh< K > &mesh, const std::string &filename)
 
bool read_mesh (Surface_mesh< K > &mesh, const std::string &filename)
 
bool write_mesh (const Surface_mesh< K > &mesh, const std::string &filename)
 
void generic_print_surface_mesh (std::ostream &out, const Surface_mesh< P > &M, Writer &writer)
 
int read_3mf (const std::string &file_name, std::vector< CGAL::Surface_mesh< Point > > &output)
 
bool write_off (std::ostream &os, const Surface_mesh< P > &sm)
 
bool read_off (std::istream &is, Surface_mesh< P > &sm)
 
CMap::Dart_handle make_combinatorial_hexahedron (CMap &cm)
 
CMap::Dart_handle make_combinatorial_polygon (CMap &cm, unsigned int lg)
 
CMap::Dart_handle make_combinatorial_tetrahedron (CMap &cm)
 
CMap::Dart_handle make_edge (CMap &cm)
 
CMap::Dart_handle insert_cell_0_in_cell_1 (CMap &cm, typename CMap::Dart_handle dh)
 
CMap::Dart_handle insert_cell_0_in_cell_2 (CMap &cm, typename CMap::Dart_handle dh)
 
CMap::Dart_handle insert_cell_1_in_cell_2 (CMap &cm, typename CMap::Dart_handle dh1, typename CMap::Dart_handle dh2)
 
CMap::Dart_handle insert_cell_2_in_cell_3 (CMap &cm, InputIterator afirst, InputIterator alast)
 
CMap::Dart_handle insert_dangling_cell_1_in_cell_2 (CMap &cm, typename CMap::Dart_handle dh)
 
bool is_insertable_cell_1_in_cell_2 (const CMap &cm, typename CMap::Dart_const_handle dh1, typename CMap::Dart_const_handle dh2)
 
bool is_insertable_cell_2_in_cell_3 (const CMap &cm, InputIterator afirst, InputIterator alast)
 
bool is_removable (const CMap &cm, typename CMap::Dart_const_handle dh)
 
CMap::size_type remove_cell (CMap &cm, typename CMap::Dart_handle dh)
 
void draw (const LCC &alcc)
 
LCC::Dart_handle import_from_plane_graph (LCC &lcc, std::istream &ais)
 
LCC::Vector compute_normal_of_cell_0 (const LCC &lcc, typename LCC::Dart_const_handle dh)
 
LCC::Vector compute_normal_of_cell_2 (const LCC &lcc, typename LCC::Dart_const_handle dh)
 
LCC::Dart_handle import_from_polyhedron_3 (LCC &lcc, const Polyhedron &apoly)
 
LCC::Dart_handle import_from_triangulation_3 (LCC &lcc, const Triangulation_ &atr)
 
void convert_nef_polyhedron_to_polygon_mesh (const Nef_polyhedron &nef, Polygon_mesh &pm, bool triangulate_all_faces=false)
 
void convert_nef_polyhedron_to_polygon_soup (const Nef_polyhedron &nef, PointRange &points, PolygonRange &polygons, bool triangulate_all_faces=false)
 
istream & operator>> (std::istream &in, CGAL::Nef_polyhedron_3< Traits > &N)
 
ostream & operator<< (std::ostream &out, CGAL::Nef_polyhedron_3< Traits > &N)
 
std::size_t OFF_to_nef_3 (std::istream &in, Nef_polyhedron_3 &N)
 
void convex_decomposition_3 (Nef_polyhedron &N)
 
OutputIterator locate (const Arrangement_2< Traits, Dcel > &arr, InputIterator points_begin, InputIterator points_end, OutputIterator oi)
 
void overlay (const Arrangement_2< GeomTraitsA, TopTraitsA > &arr1, const Arrangement_2< GeomTraitsB, TopTraitsB > &arr2, Arrangement_2< GeomTraitsRes, TopTraitsRes > &arr_res, OverlayTraits &ovl_tr)
 
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)
 
OutputIterator decompose (const Arrangement_2< Traits, Dcel > &arr, OutputIterator oi)
 
bool do_intersect (Arrangement_on_surface_2< GeomTraits, TopTraits > &arr, const Curve &c, const PointLocation &pl)
 
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)
 
void insert_non_intersecting_curves (Arrangement_2< Traits, Dcel > &arr, InputIterator first, InputIterator last)
 
Arrangement_2< Traits, Dcel >::Vertex_handle insert_point (Arrangement_2< Traits, Dcel > &arr, const typename Traits::Point_2 &p, const PointLocation &pl=walk_pl)
 
bool is_valid (const Arrangement_2< Traits, Dcel > &arr)
 
Arrangement_2< Traits, Dcel >::Face_handle remove_edge (Arrangement_2< Traits, Dcel > &arr, typename Arrangement_2< Traits, Dcel >::Halfedge_handle e)
 
bool remove_vertex (Arrangement_2< Traits, Dcel > &arr, typename Arrangement_2< Traits, Dcel >::Vertex_handle v)
 
OutputIterator zone (Arrangement_on_surface_2< GeomTraits, TopTraits > &arr, const typename GeomTraits::X_monotone_curve_2 &c, OutputIterator oi, const PointLocation &pl)
 
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)
 
void insert (Arrangement_with_history_2< Traits, Dcel > &arr, InputIterator first, InputIterator last)
 
Size remove_curve (Arrangement_with_history_2< Traits, Dcel > &arr, typename Arrangement_with_history_2< Traits, Dcel >::Curve_handle ch)
 
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)
 
std::istream & read (Arrangement_2< Traits, Dcel > &arr, std::istream &is, Formatter &formatter)
 
std::ostream & write (const Arrangement_2< Traits, Dcel > &arr, std::ostream &os, Formatter &formatter)
 
std::ostream & operator<< (std::ostream &os, const Arrangement_2< Traits, Dcel > &arr)
 
std::istream & operator>> (std::istream &is, Arrangement_2< Traits, Dcel > &arr)
 
std::istream & read (Arrangement_with_history_2< Traits, Dcel > &arr, std::istream &is, WithHistoryFormatter &formatter)
 
std::ostream & write (const Arrangement_with_history_2< Traits, Dcel > &arr, std::ostream &os, WithHistoryFormatter &formatter)
 
std::ostream & operator<< (std::ostream &os, const Arrangement_with_history_2< Traits, Dcel > &arr)
 
std::istream & operator>> (std::istream &is, Arrangement_with_history_2< Traits, Dcel > &arr)
 
void insert (Arrangement_2< Traits, Dcel > &arr, const Curve &c, const PointLocation &pl=walk_pl)
 
void insert (Arrangement_2< Traits, Dcel > &arr, const typename Traits::X_monotone_curve_2 &xc, const Object &obj)
 
void insert (Arrangement_2< Traits, Dcel > &arr, InputIterator first, InputIterator last)
 
OutputIterator compute_intersection_points (InputIterator curves_begin, InputIterator curves_end, OutputIterator points, bool report_endpoints=false)
 
OutputIterator compute_intersection_points (InputIterator curves_begin, InputIterator curves_end, OutputIterator points, bool report_endpoints=false, Traits traits)
 
OutputIterator compute_subcurves (InputIterator curves_begin, InputIterator curves_end, OutputIterator subcurves, bool multiple_overlaps=false)
 
OutputIterator compute_subcurves (InputIterator curves_begin, InputIterator curves_end, OutputIterator subcurves, bool multiple_overlaps=false, Traits traits=Default_traits())
 
bool do_curves_intersect (InputIterator curves_begin, InputIterator curves_end)
 
bool do_curves_intersect (InputIterator curves_begin, InputIterator curves_end, Traits traits=Default_traits())
 
void snap_rounding_2 (InputIterator begin, InputIterator end, OutputContainer &output_container, typename Traits::FT pixel_size, bool do_isr=true, bool int_output=true, unsigned int number_of_kd_trees=1)
 
void lower_envelope_2 (InputIterator begin, InputIterator end, EnvelopeDiagram &diag)
 
void lower_envelope_x_monotone_2 (InputIterator begin, InputIterator end, EnvelopeDiagram &diag)
 
void upper_envelope_2 (InputIterator begin, InputIterator end, EnvelopeDiagram &diag)
 
void upper_envelope_x_monotone_2 (InputIterator begin, InputIterator end, EnvelopeDiagram &diag)
 
void lower_envelope_3 (InputIterator begin, InputIterator end, Envelope_diagram_2< Traits > &diag)
 
void lower_envelope_xy_monotone_3 (InputIterator begin, InputIterator end, Envelope_diagram_2< Traits > &diag)
 
void upper_envelope_3 (InputIterator begin, InputIterator end, Envelope_diagram_2< Traits > &diag)
 
void upper_envelope_xy_monotone_3 (InputIterator begin, InputIterator end, Envelope_diagram_2< Traits > &diag)
 
void draw (const T2 &at2)
 
void draw (const T3 &at3)
 
boost::graph_trait< FG >::vertex_descriptor link_to_face_graph (const Triangulation &t, typename Triangulation::Vertex_handle vh, TriangleMesh &tm, bool no_infinite_faces=true)
 
void refine_Delaunay_mesh_2 (CDT &t, const Criteria &criteria=Criteria())
 
void refine_Delaunay_mesh_2 (CDT &t, InputIterator begin, InputIterator end, const Criteria &criteria=Criteria(), bool mark=false)
 
void write_vtu (std::ostream &os, const CDT &tr, IO::Mode mode=IO::BINARY)
 
CGAL::Mesh_optimization_return_code lloyd_optimize_mesh_2 (CDT &cdt, double parameters::time_limit=0, std::size_t parameters::max_iteration_number=0, double parameters::convergence=0.001, double parameters::freeze_bound=0.001, PointIterator parameters::seeds_begin=PointIterator(), PointIterator parameters::seeds_end=PointIterator(), bool parameters::mark=false)
 
void make_conforming_Delaunay_2 (CDT &t)
 
void make_conforming_Gabriel_2 (CDT &t)
 
bool output_surface_facets_to_off (std::ostream &os, const SurfaceMeshComplex_2InTriangulation_3 &c2t3, int options=Surface_mesher::IO_ORIENT_SURFACE)
 
void facets_in_complex_2_to_triangle_mesh (const C2T3 &c2t3, TriangleMesh &graph)
 
bool output_surface_facets_to_polyhedron (const SurfaceMeshComplex_2InTriangulation_3 &c2t3, Polyhedron &output_polyhedron)
 
void make_surface_mesh (SurfaceMeshC2T3 &c2t3, Surface surface, FacetsCriteria criteria, Tag tag, int initial_number_of_points=20)
 
void make_surface_mesh (SurfaceMeshC2T3 &c2t3, SurfaceMeshTraits::Surface_3 surface, SurfaceMeshTraits traits, FacetsCriteria criteria, Tag tag, int initial_number_of_points=20)
 
void make_skin_surface_mesh_3 (Polyhedron &p, WP_iterator begin, WP_iterator end, double shrink_factor=.5, int nSubdivisions=0, bool grow_balls=true)
 
void mesh_skin_surface_3 (const SkinSurface_3 &skin_surface, Polyhedron &p)
 
void subdivide_skin_surface_mesh_3 (const SkinSurface_3 &skin_surface, Polyhedron &p, int nSubdiv=1)
 
Mesh_optimization_return_code exude_mesh_3 (C3T3 &c3t3, double parameters::time_limit=0, double parameters::sliver_bound=0)
 
void facets_in_complex_3_to_triangle_mesh (const C3T3 &c3t3, TriangleMesh &graph)
 
void output_to_medit (std::ostream &os, const C3T3 &c3t3, bool rebind=false, bool show_patches=false)
 
void output_to_vtu (std::ostream &os, const C3T3 &c3t3, IO::Mode mode=IO::BINARY)
 
Mesh_optimization_return_code lloyd_optimize_mesh_3 (C3T3 &c3t3, const MD &domain, double parameters::time_limit=0, std::size_t parameters::max_iteration_number=0, double parameters::convergence=0.02, double parameters::freeze_bound=0.01, bool parameters::do_freeze=true)
 
C3T3 make_mesh_3 (const MD &domain, const MC &criteria, parameters::internal::Features_options features=parameters::features(domain), parameters::internal::Lloyd_options lloyd=parameters::no_lloyd(), parameters::internal::Odt_options odt=parameters::no_odt(), parameters::internal::Perturb_options perturb=parameters::perturb(), parameters::internal::Exude_options exude=parameters::exude(), parameters::internal::Manifold_options manifold=parameters::non_manifold())
 
Mesh_optimization_return_code odt_optimize_mesh_3 (C3T3 &c3t3, const MD &domain, double parameters::time_limit=0, std::size_t parameters::max_iteration_number=0, double parameters::convergence=0.02, double parameters::freeze_bound=0.01, bool parameters::do_freeze=true)
 
Mesh_optimization_return_code perturb_mesh_3 (C3T3 &c3t3, const MD &domain, double parameters::time_limit=0, double parameters::sliver_bound=0)
 
void refine_mesh_3 (C3T3 &c3t3, const MD &mesh_domain, const MC &mesh_criteria, parameters::internal::Lloyd_options lloyd=parameters::no_lloyd(), parameters::internal::Odt_options odt=parameters::no_odt(), parameters::internal::Perturb_options perturb=parameters::perturb(), parameters::internal::Exude_options exude=parameters::exude(), parameters::internal::Manifold_options manifold=parameters::non_manifold())
 
OutputIterator compute_crest_ridges (const TriangleMesh &tm, VertexFTMap vertex_k1_pm, VertexFTMap vertex_k2_pm, VertexFTMap vertex_b0_pm, VertexFTMap vertex_b3_pm, VertexVectorMap vertex_d1_pm, VertexVectorMap vertex_d2_pm, VertexFTMap vertex_P1_pm, VertexFTMap vertex_P2_pm, OutputIterator it, CGAL::Ridge_order order=CGAL::Ridge_order_3)
 
OutputIterator compute_max_ridges (const TriangleMesh &tm, VertexFTMap vertex_k1_pm, VertexFTMap vertex_k2_pm, VertexFTMap vertex_b0_pm, VertexFTMap vertex_b3_pm, VertexVectorMap vertex_d1_pm, VertexVectorMap vertex_d2_pm, VertexFTMap vertex_P1_pm, const VertexFTMap vertex_P2_pm, OutputIterator it, CGAL::Ridge_order order=CGAL::Ridge_order_3)
 
OutputIterator compute_min_ridges (const TriangleMesh &tm, VertexFTMap vertex_k1_pm, VertexFTMap vertex_k2_pm, VertexFTMap vertex_b0_pm, VertexFTMap vertex_b3_pm, VertexVectorMap vertex_d1_pm, VertexVectorMap vertex_d2_pm, VertexFTMap vertex_P1_pm, VertexFTMap vertex_P2_pm, OutputIterator it, CGAL::Ridge_order order=CGAL::Ridge_order_3)
 
OutputIterator compute_umbilics (const TriangleMesh &tm, VertexFTMap vertex_k1_pm, VertexFTMap vertex_k2_pm, VertexVectorMap vertex_d1_pm, VertexVectorMap vertex_d2_pm, OutputIterator it, double size)
 
bool read_xyz_point_set (std::istream &stream, CGAL::Point_set_3< Point, Vector > &point_set)
 
bool read_off_point_set (std::istream &stream, CGAL::Point_set_3< Point, Vector > &point_set)
 
bool read_ply_point_set (std::istream &stream, CGAL::Point_set_3< Point, Vector > &point_set, std::string &comments)
 
bool write_ply_point_set (std::ostream &stream, const CGAL::Point_set_3< Point, Vector > &point_set, const std::string &comments=std::string())
 
bool read_las_point_set (std::istream &stream, CGAL::Point_set_3< Point, Vector > &point_set)
 
bool write_las_point_set (std::ostream &stream, CGAL::Point_set_3< Point, Vector > &point_set)
 
bool write_xyz_point_set (std::ostream &stream, const CGAL::Point_set_3< Point, Vector > &point_set)
 
bool write_off_point_set (std::ostream &stream, const CGAL::Point_set_3< Point, Vector > &point_set)
 
void draw (const PS &aps)
 
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)
 
bool read_las_points_with_properties (std::istream &stream, OutputIterator output, PropertyHandler &&... properties)
 
bool read_las_points (std::istream &stream, OutputIterator output, const NamedParameters &np)
 
bool read_off_points (std::istream &stream, OutputIterator output, const NamedParameters &np)
 
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)
 
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)
 
bool read_ply_points_with_properties (std::istream &stream, OutputIterator output, PropertyHandler &&... properties)
 
bool read_ply_points (std::istream &stream, OutputIterator output, const NamedParameters &np)
 
bool read_xyz_points (std::istream &stream, OutputIterator output, const NamedParameters &np)
 
std::tuple< PointMap, LAS_property::X, LAS_property::Y, LAS_property::Z > make_las_point_writer (PointMap point_map)
 
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)
 
bool write_las_points (std::ostream &stream, const PointRange &points, const NamedParameters &np)
 
bool write_off_points (std::ostream &stream, const PointRange &points, const NamedParameters &np)
 
std::tuple< PointMap, PLY_property< FT >, PLY_property< FT >, PLY_property< FT > > make_ply_point_writer (PointMap point_map)
 
std::tuple< VectorMap, PLY_property< FT >, PLY_property< FT >, PLY_property< FT > > make_ply_normal_writer (VectorMap normal_map)
 
bool write_ply_points_with_properties (std::ostream &stream, const PointRange &points, PropertyHandler &&... properties)
 
bool write_ply_points (std::ostream &stream, const PointRange &points, const NamedParameters &np)
 
bool write_xyz_points (std::ostream &stream, const PointRange &points, const NamedParameters &np)
 
double bilateral_smooth_point_set (PointRange &points, unsigned int k, const NamedParameters &np)
 
FT compute_average_spacing (const PointRange &points, unsigned int k, const CGAL_BGL_NP_CLASS &np)
 
OutputIterator edge_aware_upsample_point_set (const PointRange &points, OutputIterator output, const NamedParameters &np)
 
OutputIterator estimate_local_k_neighbor_scales (const PointRange &points, const QueryPointRange &queries, OutputIterator output, const NamedParameters &np)
 
std::size_t estimate_global_k_neighbor_scale (const PointRange &points, const NamedParameters &np)
 
OutputIterator estimate_local_range_scales (const PointRange &points, const QueryPointRange &queries, OutputIterator output, const NamedParameters &np)
 
FT estimate_global_range_scale (const PointRange &points, const NamedParameters &np)
 
PointRange::iterator grid_simplify_point_set (PointRange &points, double epsilon, const NamedParameters &np)
 
PointRange::iterator hierarchy_simplify_point_set (PointRange &points, const NamedParameters &np)
 
void jet_estimate_normals (PointRange &points, unsigned int k, const NamedParameters &np)
 
void jet_smooth_point_set (PointRange &points, unsigned int k, const NamedParameters &np)
 
PointRange::iterator mst_orient_normals (PointRange &points, unsigned int k, const NamedParameters &np)
 
void pca_estimate_normals (PointRange &points, unsigned int k, const NamedParameters &np)
 
PointRange::iterator random_simplify_point_set (PointRange &points, double removed_percentage)
 
PointRange::iterator remove_outliers (PointRange &points, unsigned int k, const NamedParameters &np)
 
OutputIterator structure_point_set (const PointRange &points, const PlaneRange &planes, OutputIterator output, double epsilon, const NamedParameters &np)
 
bool vcm_is_on_feature_edge (std::array< FT, 6 > &cov, double threshold, VCMTraits)
 
bool vcm_is_on_feature_edge (std::array< FT, 6 > &cov, double threshold)
 
void compute_vcm (const PointRange &points, std::vector< std::array< double, 6 > > &ccov, double offset_radius, double convolution_radius, const NamedParameters &np)
 
void vcm_estimate_normals (PointRange &points, double offset_radius, double convolution_radius, const NamedParameters &np)
 
void vcm_estimate_normals (PointRange &points, double offset_radius, unsigned int k, const NamedParameters &np)
 
OutputIterator wlop_simplify_and_regularize_point_set (PointRange &points, OutputIterator output, const NamedParameters &np)
 
Dt::Vertex_handle nearest_neighbor (const Dt &delau, Dt::Vertex_handle v)
 
OutputIterator nearest_neighbors (Dt &delau, const Dt::Point &p, Dt::size_type k, OutputIterator res)
 
OutputIterator nearest_neighbors (Dt &delau, Dt::Vertex_handle v, Dt::size_type k, OutputIterator res)
 
OutputIterator range_search (Dt &delau, const Circle &C, OutputIterator res)
 
OutputIterator range_search (Dt &delau, const Dt::Point &a, const Dt::Point &b, const Dt::Point &c, OutputIterator res)
 
OutputIterator range_search (Dt &delau, const Dt::Point &a, const Dt::Point &b, const Dt::Point &c, const Dt::Point &d, OutputIterator res)
 
OutputIterator range_search (Dt &delau, const Circle &C, OutputIterator res, Pred &pred, bool return_if_succeded)
 
OutputIterator range_search (Dt &delau, const Dt::Point &a, const Dt::Point &b, const Dt::Point &c, OutputIterator res, Pred &pred, bool return_if_succeded)
 
OutputIterator range_search (Dt &delau, const Dt::Point &a, const Dt::Point &b, const Dt::Point &c, const Dt::Point &d, OutputIterator res, Pred &pred, bool return_if_succeded)
 
void box_intersection_all_pairs_d (ForwardIterator1 begin1, ForwardIterator1 end1, ForwardIterator2 begin2, ForwardIterator2 end2, Callback callback, CGAL::Box_intersection_d::Topology topology=CGAL::Box_intersection_d::CLOSED)
 
void box_intersection_all_pairs_d (ForwardIterator1 begin1, ForwardIterator1 end1, ForwardIterator2 begin2, ForwardIterator2 end2, Callback callback, BoxTraits box_traits, CGAL::Box_intersection_d::Topology topology=CGAL::Box_intersection_d::CLOSED)
 
void box_intersection_d (RandomAccessIterator1 begin1, RandomAccessIterator1 end1, RandomAccessIterator2 begin2, RandomAccessIterator2 end2, Callback callback, std::ptrdiff_t cutoff=10, CGAL::Box_intersection_d::Topology topology=CGAL::Box_intersection_d::CLOSED, CGAL::Box_intersection_d::Setting setting=CGAL::Box_intersection_d::BIPARTITE)
 
void box_intersection_d (RandomAccessIterator1 begin1, RandomAccessIterator1 end1, RandomAccessIterator2 begin2, RandomAccessIterator2 end2, Callback callback, BoxTraits box_traits, std::ptrdiff_t cutoff=10, CGAL::Box_intersection_d::Topology topology=CGAL::Box_intersection_d::CLOSED, CGAL::Box_intersection_d::Setting setting=CGAL::Box_intersection_d::BIPARTITE)
 
void box_self_intersection_all_pairs_d (ForwardIter begin, ForwardIter end, Callback callback, CGAL::Box_intersection_d::Topology topology=CGAL::Box_intersection_d::CLOSED)
 
void box_self_intersection_all_pairs_d (ForwardIter begin, ForwardIter end, Callback callback, BoxTraits box_traits, CGAL::Box_intersection_d::Topology topology=CGAL::Box_intersection_d::CLOSED)
 
void box_self_intersection_d (RandomAccessIterator begin, RandomAccessIterator end, Callback callback, std::ptrdiff_t cutoff=10, CGAL::Box_intersection_d::Topology topology=CGAL::Box_intersection_d::CLOSED)
 
void box_self_intersection_d (RandomAccessIterator begin, RandomAccessIterator end, Callback callback, BoxTraits box_traits, std::ptrdiff_t cutoff=10, CGAL::Box_intersection_d::Topology topology=CGAL::Box_intersection_d::CLOSED)
 
void hilbert_sort (RandomAccessIterator begin, RandomAccessIterator end, const Traits &traits=Default_traits, PolicyTag policy=Default_policy)
 
void hilbert_sort_on_sphere (RandomAccessIterator begin, RandomAccessIterator end, const Traits &traits=Default_traits, PolicyTag policy=Default_policy, double sqr_radius=1.0, const Traits::Point_3 &center=Default_center)
 
void spatial_sort (RandomAccessIterator begin, RandomAccessIterator end, const Traits &traits=Default_traits, PolicyTag policy=Default_policy, std::ptrdiff_t threshold_hilbert=default, std::ptrdiff_t threshold_multiscale=default, double ratio=default)
 
void spatial_sort_on_sphere (RandomAccessIterator begin, RandomAccessIterator end, const Traits &traits=Default_traits, PolicyTag policy=Default_policy, double sqr_radius=1.0, const Traits::Point_3 &center=Default_center, std::ptrdiff_t threshold_hilbert=default, std::ptrdiff_t threshold_multiscale=default, double ratio=default)
 
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)
 
OutputIterator extremal_polygon_2 (RandomAccessIterator points_begin, RandomAccessIterator points_end, int k, OutputIterator o, const Traits &t)
 
OutputIterator maximum_area_inscribed_k_gon_2 (RandomAccessIterator points_begin, RandomAccessIterator points_end, int k, OutputIterator o)
 
OutputIterator maximum_perimeter_inscribed_k_gon_2 (RandomAccessIterator points_begin, RandomAccessIterator points_end, int k, OutputIterator o)
 
OutputIterator all_furthest_neighbors_2 (RandomAccessIterator points_begin, RandomAccessIterator points_end, OutputIterator o, 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)
 
ValueFunctor::result_type::first_type linear_interpolation (CoordinateInputIterator first, CoordinateInputIterator beyond, const typename std::iterator_traits< CoordinateInputIterator >::value_type::second_type &norm, ValueFunctor value_function)
 
ValueFunctor::result_type quadratic_interpolation (CoordinateInputIterator first, CoordinateInputIterator beyond, const typename std::iterator_traits< CoordinateInputIterator >::value_type::second_type &norm, const Point &p, ValueFunctor value_function, GradFunctor gradient_function, const Traits &traits)
 
std::pair< typename ValueFunctor::result_type, bool > sibson_c1_interpolation (CoordinateInputIterator first, CoordinateInputIterator beyond, const typename std::iterator_traits< CoordinateInputIterator >::value_type::second_type &norm, const Point &p, ValueFunctor value_function, GradFunctor gradient_function, const Traits &traits)
 
ValueFunctor::result_type sibson_c1_interpolation_square (CoordinateInputIterator first, CoordinateInputIterator beyond, const typename std::iterator_traits< CoordinateInputIterator >::value_type::second_type &norm, const Point &p, ValueFunctor value_function, GradFunctor gradient_function, const Traits &traits)
 
ValueFunctor::result_type farin_c1_interpolation (CoordinateInputIterator first, CoordinateInputIterator beyond, const typename std::iterator_traits< CoordinateInputIterator >::value_type::second_type &norm, const Point &p, ValueFunctor value_function, GradFunctor gradient_function, const Traits &traits)
 
CGAL::Triple< CoordinateOutputIterator, typename Dt::Geom_traits::FT, bool > natural_neighbor_coordinates_2 (const Dt &dt, const typename Dt::Geom_traits::Point_2 &p, CoordinateOutputIterator out, OutputFunctor fct, typename Dt::Face_handle start=typename Dt::Face_handle())
 
CGAL::Triple< CoordinateOutputIterator, typename Dt::Geom_traits::FT, bool > natural_neighbor_coordinates_2 (const Dt &dt, const typename Dt::Geom_traits::Point_2 &p, CoordinateOutputIterator out, OutputFunctor fct, EdgeIterator hole_begin, EdgeIterator hole_end)
 
CGAL::Triple< CoordinateOutputIterator, typename Dt::Geom_traits::FT, bool > natural_neighbor_coordinates_2 (const Dt &dt, typename Dt::Vertex_handle vh, CoordinateOutputIterator out, OutputFunctor fct)
 
CGAL::Triple< CoordinateOutputIterator, typename Rt::Geom_traits::FT, bool > regular_neighbor_coordinates_2 (const Rt &rt, const typename Rt::Weighted_point &p, CoordinateOutputIterator out, OutputFunctor fct, typename Rt::Face_handle start=typename Rt::Face_handle())
 
CGAL::Triple< CoordinateOutputIterator, typename Traits::FT, bool > regular_neighbor_coordinates_2 (const Rt &rt, const typename Traits::Weighted_point &p, CoordinateOutputIterator out, OutputFunctor fct, EdgeIterator hole_begin, EdgeIterator hole_end, VertexIterator hidden_vertices_begin, VertexIterator hidden_vertices_end)
 
CGAL::Triple< CoordinateOutputIterator, typename Rt::Geom_traits::FT, bool > regular_neighbor_coordinates_2 (const Rt &rt, typename Rt::Vertex_handle vh, CoordinateOutputIterator out, OutputFunctor fct)
 
Traits::Vector_d sibson_gradient_fitting (CoordinateInputIterator first, CoordinateInputIterator beyond, const typename std::iterator_traits< CoordinateInputIterator >::value_type::second_type &norm, const Point &p, ValueFunctor value_function, const typename ValueFunctor::result_type::first_type fn, const Traits &traits)
 
GradientOutputIterator sibson_gradient_fitting_nn_2 (const Dt &dt, GradientOutputIterator out, OutputFunctor fct, ValueFunctor value_function, const Traits &traits)
 
GradientOutputIterator sibson_gradient_fitting_rn_2 (const Rt &rt, GradientOutputIterator out, OutputFunctor fct, ValueFunctor value_function, const Traits &traits)
 
CGAL::Triple< OutputIterator, typename Kernel::FT, bool > surface_neighbor_coordinates_3 (InputIterator first, InputIterator beyond, const typename Kernel::Point_3 &p, const typename Kernel::Vector_3 &normal, OutputIterator out, const Kernel &K)
 
CGAL::Triple< OutputIterator, typename ITraits::FT, bool > surface_neighbor_coordinates_3 (InputIterator first, InputIterator beyond, const typename ITraits::Point_2 &p, OutputIterator out, const ITraits &traits)
 
CGAL::Quadruple< OutputIterator, typename Kernel::FT, bool, bool > surface_neighbor_coordinates_certified_3 (InputIterator first, InputIterator beyond, const typename Kernel::Point_3 &p, const typename Kernel::Vector_3 &normal, OutputIterator out, const Kernel &K)
 
CGAL::Quadruple< OutputIterator, typename Kernel::FT, bool, bool > surface_neighbor_coordinates_certified_3 (InputIterator first, InputIterator beyond, const typename Kernel::Point_3 &p, const typename Kernel::FT &max_distance, OutputIterator out, const Kernel &kernel)
 
CGAL::Quadruple< OutputIterator, typename ITraits::FT, bool, bool > surface_neighbor_coordinates_certified_3 (InputIterator first, InputIterator beyond, const typename ITraits::Point_2 &p, OutputIterator out, const ITraits &traits)
 
CGAL::Quadruple< OutputIterator, typename ITraits::FT, bool, bool > surface_neighbor_coordinates_certified_3 (InputIterator first, InputIterator beyond, const typename ITraits::Point_2 &p, const typename ITraits::FT &max_distance, OutputIterator out, const ITraits &traits)
 
CGAL::Triple< OutputIterator, typename Dt::Geom_traits::FT, bool > surface_neighbor_coordinates_3 (const Dt &dt, const typename Dt::Geom_traits::Point_3 &p, const typename Dt::Geom_traits::Vector_3 &normal, OutputIterator out, typename Dt::Cell_handle start=typename Dt::Cell_handle())
 
CGAL::Triple< OutputIterator, typename Dt::Geom_traits::FT, bool > surface_neighbor_coordinates_3 (const Dt &dt, const typename Dt::Geom_traits::Point_3 &p, OutputIterator out, const ITraits &traits, typename Dt::Cell_handle start=typename Dt::Cell_handle())
 
OutputIterator surface_neighbors_3 (InputIterator first, InputIterator beyond, const typename Kernel::Point_3 &p, const typename Kernel::Vector_3 &normal, OutputIterator out, const Kernel &K)
 
OutputIterator surface_neighbors_3 (InputIterator first, InputIterator beyond, const typename ITraits::Point_2 &p, OutputIterator out, const ITraits &traits)
 
std::pair< OutputIterator, bool > surface_neighbors_certified_3 (InputIterator first, InputIterator beyond, const typename Kernel::Point_3 &p, const typename Kernel::Vector_3 &normal, OutputIterator out, const Kernel &K)
 
std::pair< OutputIterator, bool > surface_neighbors_certified_3 (InputIterator first, InputIterator beyond, const typename Kernel::Point_3 &p, const typename Kernel::Vector_3 &normal, const typename Kernel::FT &max_distance, OutputIterator out, const Kernel &kernel)
 
std::pair< OutputIterator, bool > surface_neighbors_certified_3 (InputIterator first, InputIterator beyond, const typename ITraits::Point_2 &p, OutputIterator out, const ITraits &traits)
 
std::pair< OutputIterator, bool > surface_neighbors_certified_3 (InputIterator first, InputIterator beyond, const typename ITraits::Point_2 &p, const typename ITraits::FT &max_distance, OutputIterator out, const ITraits &traits)
 
OutputIterator surface_neighbors_3 (const Dt &dt, const typename Dt::Geom_traits::Point_3 &p, const typename Dt::Geom_traits::Vector_3 &normal, OutputIterator out, typename Dt::Cell_handle start=typename Dt::Cell_handle())
 
OutputIterator surface_neighbors_3 (const Dt &dt, const typename ITraits::Point_2 &p, OutputIterator out, const ITraits &traits, typename Dt::Cell_handle start=typename Dt::Cell_handle())
 
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)
 
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)
 
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 perturb_points_2 (ForwardIterator first, ForwardIterator last, double xeps, double yeps=xeps, Random &rnd=get_default_random(), Creator creator=Creator_uniform_2< Kernel_traits< P >::Kernel::RT, P >)
 
OutputIterator points_on_segment_2 (const P &p, const P &q, std::size_t n, OutputIterator o)
 
OutputIterator points_on_square_grid_2 (double a, std::size_t n, OutputIterator o, Creator creator=Creator_uniform_2< Kernel_traits< P >::Kernel::RT, P >)
 
OutputIterator random_collinear_points_2 (RandomAccessIterator first, RandomAccessIterator last, std::size_t n, OutputIterator first2, Random &rnd=get_default_random(), Creator creator=Creator_uniform_2< Kernel_traits< P >::Kernel::RT, P >)
 
OutputIterator points_on_cube_grid_3 (double a, std::size_t n, OutputIterator o, Creator creator=Creator_uniform_3< Kernel_traits< Point_3 >::Kernel::RT, Point_3 >)
 
OutputIterator points_on_cube_grid_d (int dim, double a, std::size_t n, OutputIterator o, Creator creator)
 
Random & get_default_random ()
 
void random_convex_hull_in_disc_2 (std::size_t n, double radius, Generator &gen, OutputIterator it, const Traits &traits, bool fast=true)
 
OutputIterator random_convex_set_2 (std::size_t n, OutputIterator o, const PointGenerator &pg, Traits t=Random_convex_set_traits_2)
 
OutputIterator random_polygon_2 (std::size_t n, OutputIterator result, const PointGenerator &pg, Traits t=Default_traits)
 
OutputIterator random_selection (RandomAccessIterator first, RandomAccessIterator last, Size n, OutputIterator result, Random &rnd=get_default_random())
 

Variables

 QP_CHOOSE_DEFAULT
 
 QP_PARTIAL_DANTZIG
 
 QP_DANTZIG
 
 QP_PARTIAL_FILTERED_DANTZIG
 
 QP_FILTERED_DANTZIG
 
 QP_BLAND
 
 QP_OPTIMAL
 
 QP_INFEASIBLE
 
 QP_UNBOUNDED
 
 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
 
 NORMAL
 
 THREADED
 
 POLAR
 
 BIPOLAR
 
 ARR_MIN_END
 
 ARR_MAX_END
 
 ARR_LEFT_TO_RIGHT
 
 ARR_RIGHT_TO_LEFT
 
const Arr_parameter_space ARR_LEFT_BOUNDARY
 
const Arr_parameter_space ARR_RIGHT_BOUNDARY
 
const Arr_parameter_space ARR_BOTTOM_BOUNDARY
 
const Arr_parameter_space ARR_TOP_BOUNDARY
 
const Arr_parameter_space ARR_INTERIOR
 
 BOUND_REACHED
 
 TIME_LIMIT_REACHED
 
 CANT_IMPROVE_ANYMORE
 
 CONVERGENCE_REACHED
 
 MAX_ITERATION_NUMBER_REACHED
 
 ALL_VERTICES_FROZEN
 
 FACET_VERTICES_ON_SURFACE
 
 FACET_VERTICES_ON_SAME_SURFACE_PATCH
 
 FACET_VERTICES_ON_SAME_SURFACE_PATCH_WITH_ADJACENCY_CHECK
 
 Ridge_order_3
 
 Ridge_order_4
 
 MAX_ELLIPTIC_RIDGE
 
 MAX_HYPERBOLIC_RIDGE
 
 MAX_CREST_RIDGE
 
 MIN_ELLIPTIC_RIDGE
 
 MIN_HYPERBOLIC_RIDGE
 
 MIN_CREST_RIDGE
 
 NON_GENERIC_UMBILIC
 
 ELLIPTIC_UMBILIC
 
 HYPERBOLIC_UMBILIC
 
 ABORT
 
 EXIT
 
 EXIT_WITH_SUCCESS
 
 CONTINUE
 
 THROW_EXCEPTION
 
CGAL::Random default_random