CGAL 5.5.2 - Manual
CGAL Namespace Reference

Namespaces

 Barycentric_coordinates
 
 Box_intersection_d
 
 Classification
 
 collect_garbage_internal
 
 cpp11
 
 cpp98
 
 Heat_method_3
 
 IO
 
 Mesh_2
 
 Mesh_3
 
 OpenGR
 
 Orthtrees
 
 parameters
 
 Point_set_processing_3
 
 pointmatcher
 
 Polygon_mesh_processing
 
 Polyline_simplification_2
 
 Qt
 
 Scale_space_reconstruction_3
 
 Set_movable_separability_2
 
 Shape_detection
 
 Shape_regularization
 
 Subdivision_method_3
 
 Surface_mesh_approximation
 
 Surface_mesh_parameterization
 
 Surface_mesh_shortest_paths_3
 
 Surface_mesh_simplification
 
 Surface_mesh_topology
 
 Surface_mesher
 
 Tetrahedral_remeshing
 
 Weights
 

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_bounded_planar_topology_traits_2
 
class  Arr_circle_segment_traits_2
 
class  Arr_circular_arc_traits_2
 
class  Arr_circular_line_arc_traits_2
 
struct  Arr_closed_side_tag
 
class  Arr_conic_traits_2
 
class  Arr_consolidated_curve_data_traits_2
 
struct  Arr_contracted_side_tag
 
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_geodesic_arc_on_sphere_traits_2
 
struct  Arr_identified_side_tag
 
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_spherical_topology_traits_2
 
class  Arr_text_formatter
 
class  Arr_trapezoid_ric_point_location
 
class  Arr_triangulation_point_location
 
class  Arr_unb_planar_topology_traits_2
 
class  Arr_vertex_index_map
 
class  Arr_walk_along_line_point_location
 
class  Arr_with_history_text_formatter
 
class  Arrangement_2
 
class  Arrangement_on_surface_2
 
class  Arrangement_on_surface_with_history_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  Combination_enumerator
 
class  Combinatorial_map
 
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  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
 
class  Delaunay_triangulation_on_sphere_2
 
class  Delaunay_triangulation_on_sphere_traits_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
 
struct  Get_address
 
class  GLPK_mixed_integer_program_traits
 
class  Gmpfi
 
class  Gmpfr
 
class  Gmpq
 
class  Gmpz
 
class  Gmpzf
 
class  Gps_circle_segment_traits_2
 
class  Gps_default_dcel
 
class  Gps_face_base
 
class  Gps_halfedge_base
 
class  Gps_segment_traits_2
 
class  Gps_traits_2
 
struct  graph_has_property
 
struct  Graph_with_descriptor_with_graph
 
struct  Graph_with_descriptor_with_graph_property_map
 
class  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
 
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_constraint_intersection_requiring_constructions_tag
 
struct  No_constraint_intersection_tag
 
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  Octree
 
class  Oneset_iterator
 
class  Optimal_convex_decomposition_2
 
class  Optimal_transportation_reconstruction_2
 
class  Oriented_bounding_box_traits_3
 
class  Origin
 
class  Orthogonal_incremental_neighbor_search
 
class  Orthogonal_k_neighbor_search
 
class  Orthtree
 
struct  Orthtree_traits_2
 
struct  Orthtree_traits_3
 
struct  Orthtree_traits_d
 
class  OSQP_quadratic_program_traits
 
class  Ostream_iterator
 
class  Output_rep
 
struct  Parallel_if_available_tag
 
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
 
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
 
struct  Polyhedral_envelope
 
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_on_sphere_traits_3
 
class  Projection_traits_3
 
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  Quadtree
 
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  SCIP_mixed_integer_program_traits
 
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
 
class  Segment_Delaunay_graph_face_base_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
 
class  Segment_Delaunay_graph_storage_site_with_info_2
 
class  Segment_Delaunay_graph_storage_traits_2
 
class  Segment_Delaunay_graph_storage_traits_with_info_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  Sizing_field
 
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_on_sphere_2
 
class  Triangulation_on_sphere_face_base_2
 
class  Triangulation_on_sphere_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  Trisegment_2
 
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_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< MedianHilbert_sort_median_policy
 
typedef Hilbert_policy< MiddleHilbert_sort_middle_policy
 
typedef Location_policy< CompactCompact_location
 
typedef Location_policy< FastFast_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
 
enum  vertex_index_t
 
enum  halfedge_index_t
 
enum  edge_index_t
 
enum  face_index_t
 
enum  vertex_point_t
 

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)
 
max (const T &x, const T &y)
 
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))
 
enum_cast (const U &u)
 
Oriented_side opposite (const Oriented_side &o)
 
Bounded_side opposite (const Bounded_side &o)
 
bool do_intersect (Type1< Kernel > obj1, Type2< Kernel > obj2)
 
bool do_intersect (Plane_3< Kernel > obj1, Plane_3< Kernel > obj2, Plane_3< Kernel > obj3)
 
decltype(auto) intersection (Type1< Kernel > obj1, Type2< Kernel > obj2)
 
decltype(auto) intersection (const Plane_3< Kernel > &pl1, const Plane_3< Kernel > &pl2, const Plane_3< Kernel > &pl3)
 
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< Kernelbarycenter (const CGAL::Point_2< Kernel > &p1, const Kernel::FT &w1, const CGAL::Point_2< Kernel > &p2)
 
CGAL::Point_2< Kernelbarycenter (const CGAL::Point_2< Kernel > &p1, const Kernel::FT &w1, const CGAL::Point_2< Kernel > &p2, const Kernel::FT &w2)
 
CGAL::Point_2< Kernelbarycenter (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< Kernelbarycenter (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< Kernelbarycenter (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< Kernelbarycenter (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< Kernelbarycenter (const CGAL::Point_3< Kernel > &p1, const Kernel::FT &w1, const CGAL::Point_3< Kernel > &p2)
 
CGAL::Point_3< Kernelbarycenter (const CGAL::Point_3< Kernel > &p1, const Kernel::FT &w1, const CGAL::Point_3< Kernel > &p2, const Kernel::FT &w2)
 
CGAL::Point_3< Kernelbarycenter (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< Kernelbarycenter (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< Kernelbarycenter (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< Kernelbarycenter (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< Kernelbisector (const CGAL::Point_2< Kernel > &p, const CGAL::Point_2< Kernel > &q)
 
CGAL::Line_2< Kernelbisector (const CGAL::Line_2< Kernel > &l1, const CGAL::Line_2< Kernel > &l2)
 
CGAL::Plane_3< Kernelbisector (const CGAL::Point_3< Kernel > &p, const CGAL::Point_3< Kernel > &q)
 
CGAL::Plane_3< Kernelbisector (const CGAL::Plane_3< Kernel > &h1, const CGAL::Plane_3< Kernel > &h2)
 
CGAL::Point_2< Kernelcentroid (const CGAL::Point_2< Kernel > &p, const CGAL::Point_2< Kernel > &q, const CGAL::Point_2< Kernel > &r)
 
CGAL::Point_2< Kernelcentroid (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< Kernelcentroid (const CGAL::Triangle_2< Kernel > &t)
 
CGAL::Point_3< Kernelcentroid (const CGAL::Point_3< Kernel > &p, const CGAL::Point_3< Kernel > &q, const CGAL::Point_3< Kernel > &r)
 
CGAL::Point_3< Kernelcentroid (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< Kernelcentroid (const CGAL::Triangle_3< Kernel > &t)
 
CGAL::Point_3< Kernelcentroid (const CGAL::Tetrahedron_3< Kernel > &t)
 
CGAL::Point_2< Kernelcircumcenter (const CGAL::Point_2< Kernel > &p, const CGAL::Point_2< Kernel > &q)
 
CGAL::Point_2< Kernelcircumcenter (const CGAL::Point_2< Kernel > &p, const CGAL::Point_2< Kernel > &q, const CGAL::Point_2< Kernel > &r)
 
CGAL::Point_2< Kernelcircumcenter (const CGAL::Triangle_2< Kernel > &t)
 
CGAL::Point_3< Kernelcircumcenter (const CGAL::Point_3< Kernel > &p, const CGAL::Point_3< Kernel > &q)
 
CGAL::Point_3< Kernelcircumcenter (const CGAL::Point_3< Kernel > &p, const CGAL::Point_3< Kernel > &q, const CGAL::Point_3< Kernel > &r)
 
CGAL::Point_3< Kernelcircumcenter (const CGAL::Triangle_3< Kernel > &t)
 
CGAL::Point_3< Kernelcircumcenter (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< Kernelcircumcenter (const CGAL::Tetrahedron_3< Kernel > &t)
 
bool collinear_are_ordered_along_line (const CGAL::Point_2< Kernel > &p, const CGAL::Point_2< Kernel > &q, const CGAL::Point_2< Kernel > &r)
 
bool collinear_are_ordered_along_line (const CGAL::Point_3< Kernel > &p, const CGAL::Point_3< Kernel > &q, const CGAL::Point_3< Kernel > &r)
 
bool collinear_are_strictly_ordered_along_line (const CGAL::Point_2< Kernel > &p, const CGAL::Point_2< Kernel > &q, const CGAL::Point_2< Kernel > &r)
 
bool collinear_are_strictly_ordered_along_line (const CGAL::Point_3< Kernel > &p, const CGAL::Point_3< Kernel > &q, const CGAL::Point_3< Kernel > &r)
 
bool collinear (const CGAL::Point_2< Kernel > &p, const CGAL::Point_2< Kernel > &q, const CGAL::Point_2< Kernel > &r)
 
bool collinear (const CGAL::Point_3< Kernel > &p, const CGAL::Point_3< Kernel > &q, const CGAL::Point_3< Kernel > &r)
 
Comparison_result compare_dihedral_angle (const CGAL::Point_3< Kernel > &a1, const CGAL::Point_3< Kernel > &b1, const CGAL::Point_3< Kernel > &c1, const CGAL::Point_3< Kernel > &d1, const Kernel::FT &cosine)
 
Comparison_result compare_dihedral_angle (const CGAL::Point_3< Kernel > &a1, const CGAL::Point_3< Kernel > &b1, const CGAL::Point_3< Kernel > &c1, const CGAL::Point_3< Kernel > &d1, const CGAL::Point_3< Kernel > &a2, const CGAL::Point_3< Kernel > &b2, const CGAL::Point_3< Kernel > &c2, const CGAL::Point_3< Kernel > &d2)
 
Comparison_result compare_dihedral_angle (const CGAL::Vector_3< Kernel > &u1, const CGAL::Vector_3< Kernel > &v1, const CGAL::Vector_3< Kernel > &w1, const Kernel::FT &cosine)
 
Comparison_result compare_dihedral_angle (const CGAL::Vector_3< Kernel > &u1, const CGAL::Vector_3< Kernel > &v1, const CGAL::Vector_3< Kernel > &w1, const CGAL::Vector_3< Kernel > &u2, const CGAL::Vector_3< Kernel > &v2, const CGAL::Vector_3< Kernel > &w2)
 
Comparison_result compare_distance_to_point (const CGAL::Point_2< Kernel > &p, const CGAL::Point_2< Kernel > &q, const CGAL::Point_2< Kernel > &r)
 
Comparison_result compare_distance_to_point (const CGAL::Point_3< Kernel > &p, const CGAL::Point_3< Kernel > &q, const CGAL::Point_3< Kernel > &r)
 
Comparison_result compare_lexicographically (const CGAL::Point_2< Kernel > &p, const CGAL::Point_2< Kernel > &q)
 
Comparison_result compare_lexicographically (const CGAL::Point_3< Kernel > &p, const CGAL::Point_3< Kernel > &q)
 
Comparison_result compare_signed_distance_to_line (const CGAL::Line_2< Kernel > &l, const CGAL::Point_2< Kernel > &p, const CGAL::Point_2< Kernel > &q)
 
Comparison_result compare_signed_distance_to_line (const CGAL::Point_2< Kernel > &p, const CGAL::Point_2< Kernel > &q, const CGAL::Point_2< Kernel > &r, const CGAL::Point_2< Kernel > &s)
 
Comparison_result compare_signed_distance_to_plane (const CGAL::Plane_3< Kernel > &h, const CGAL::Point_3< Kernel > &p, const CGAL::Point_3< Kernel > &q)
 
Comparison_result compare_signed_distance_to_plane (const CGAL::Point_3< Kernel > &p, const CGAL::Point_3< Kernel > &q, const CGAL::Point_3< Kernel > &r, const CGAL::Point_3< Kernel > &s, const CGAL::Point_3< Kernel > &t)
 
Comparison_result compare_slope (const CGAL::Line_2< Kernel > &l1, const CGAL::Line_2< Kernel > &l2)
 
Comparison_result compare_slope (const CGAL::Segment_2< Kernel > &s1, const CGAL::Segment_2< Kernel > &s2)
 
Comparison_result compare_slope (const CGAL::Point_2< Kernel > &s1s, const CGAL::Point_2< Kernel > &s1t, const CGAL::Point_2< Kernel > &s2s, const CGAL::Point_2< Kernel > &s2t)
 
Comparison_result compare_slope (const CGAL::Point_3< Kernel > &p, const CGAL::Point_3< Kernel > &q, const CGAL::Point_3< Kernel > &r, const CGAL::Point_3< Kernel > &s)
 
Comparison_result compare_squared_distance (const CGAL::Point_2< Kernel > &p, const CGAL::Point_2< Kernel > &q, const typename Kernel::FT &d2)
 
Comparison_result compare_squared_distance (const CGAL::Point_3< Kernel > &p, const CGAL::Point_3< Kernel > &q, const typename Kernel::FT &d2)
 
Comparison_result compare_squared_radius (const CGAL::Point_3< Kernel > &p, const typename Kernel::FT &sr)
 
Comparison_result compare_squared_radius (const CGAL::Point_3< Kernel > &p, const CGAL::Point_3< Kernel > &q, const typename Kernel::FT &sr)
 
Comparison_result compare_squared_radius (const CGAL::Point_3< Kernel > &p, const CGAL::Point_3< Kernel > &q, const CGAL::Point_3< Kernel > &r, const typename Kernel::FT &sr)
 
Comparison_result compare_squared_radius (const CGAL::Point_3< Kernel > &p, const CGAL::Point_3< Kernel > &q, const CGAL::Point_3< Kernel > &r, const CGAL::Point_3< Kernel > &s, const typename Kernel::FT &sr)
 
Comparison_result compare_x (const CGAL::Point_2< Kernel > &p, const CGAL::Point_2< Kernel > &q)
 
Comparison_result compare_x (const CGAL::Point_3< Kernel > &p, const CGAL::Point_3< Kernel > &q)
 
Comparison_result compare_x (const CGAL::Point_2< Kernel > &p, const CGAL::Line_2< Kernel > &l1, const CGAL::Line_2< Kernel > &l2)
 
Comparison_result compare_x (const CGAL::Line_2< Kernel > &l, const CGAL::Line_2< Kernel > &h1, const CGAL::Line_2< Kernel > &h2)
 
Comparison_result compare_x (const CGAL::Line_2< Kernel > &l1, const CGAL::Line_2< Kernel > &l2, const CGAL::Line_2< Kernel > &h1, const CGAL::Line_2< Kernel > &h2)
 
Comparison_result compare_x (const CGAL::Circular_arc_point_2< CircularKernel > &p, const CGAL::Circular_arc_point_2< CircularKernel > &q)
 
Comparison_result compare_x (const CGAL::Circular_arc_point_2< CircularKernel > &p, const CGAL::Point_2< CircularKernel > &q)
 
Comparison_result compare_x (const CGAL::Circular_arc_point_3< SphericalKernel > &p, const CGAL::Circular_arc_point_3< SphericalKernel > &q)
 
Comparison_result compare_x (const CGAL::Circular_arc_point_3< SphericalKernel > &p, const CGAL::Point_3< SphericalKernel > &q)
 
Comparison_result compare_xy (const CGAL::Point_2< Kernel > &p, const CGAL::Point_2< Kernel > &q)
 
Comparison_result compare_xy (const CGAL::Point_3< Kernel > &p, const CGAL::Point_3< Kernel > &q)
 
Comparison_result compare_xy (const CGAL::Circular_arc_point_2< CircularKernel > &p, const CGAL::Circular_arc_point_2< CircularKernel > &q)
 
Comparison_result compare_xy (const CGAL::Circular_arc_point_2< CircularKernel > &p, const CGAL::Point_2< CircularKernel > &q)
 
Comparison_result compare_xy (const CGAL::Circular_arc_point_3< SphericalKernel > &p, const CGAL::Circular_arc_point_3< SphericalKernel > &q)
 
Comparison_result compare_xy (const CGAL::Circular_arc_point_3< SphericalKernel > &p, const CGAL::Point_3< SphericalKernel > &q)
 
Comparison_result compare_x_at_y (const CGAL::Point_2< Kernel > &p, const CGAL::Line_2< Kernel > &h)
 
Comparison_result compare_x_at_y (const CGAL::Point_2< Kernel > &p, const CGAL::Line_2< Kernel > &h1, const CGAL::Line_2< Kernel > &h2)
 
Comparison_result compare_x_at_y (const CGAL::Line_2< Kernel > &l1, const CGAL::Line_2< Kernel > &l2, const CGAL::Line_2< Kernel > &h)
 
Comparison_result compare_x_at_y (const CGAL::Line_2< Kernel > &l1, const CGAL::Line_2< Kernel > &l2, const CGAL::Line_2< Kernel > &h1, const CGAL::Line_2< Kernel > &h2)
 
Comparison_result compare_y_at_x (const CGAL::Point_2< Kernel > &p, const CGAL::Line_2< Kernel > &h)
 
Comparison_result compare_y_at_x (const CGAL::Point_2< Kernel > &p, const CGAL::Line_2< Kernel > &h1, const CGAL::Line_2< Kernel > &h2)
 
Comparison_result compare_y_at_x (const CGAL::Line_2< Kernel > &l1, const CGAL::Line_2< Kernel > &l2, const CGAL::Line_2< Kernel > &h)
 
Comparison_result compare_y_at_x (const CGAL::Line_2< Kernel > &l1, const CGAL::Line_2< Kernel > &l2, const CGAL::Line_2< Kernel > &h1, const CGAL::Line_2< Kernel > &h2)
 
Comparison_result compare_y_at_x (const CGAL::Point_2< Kernel > &p, const CGAL::Segment_2< Kernel > &s)
 
Comparison_result compare_y_at_x (const CGAL::Point_2< Kernel > &p, const CGAL::Segment_2< Kernel > &s1, const CGAL::Segment_2< Kernel > &s2)
 
Comparison_result compare_y (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< Kernelcross_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< Kernelequidistant_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< Kernelmax_vertex (const CGAL::Iso_rectangle_2< Kernel > &ir)
 
CGAL::Point_3< Kernelmax_vertex (const CGAL::Iso_cuboid_3< Kernel > &ic)
 
CGAL::Point_2< Kernelmidpoint (const CGAL::Point_2< Kernel > &p, const CGAL::Point_2< Kernel > &q)
 
CGAL::Point_2< Kernelmidpoint (const CGAL::Segment_2< Kernel > &s)
 
CGAL::Point_3< Kernelmidpoint (const CGAL::Point_3< Kernel > &p, const CGAL::Point_3< Kernel > &q)
 
CGAL::Point_3< Kernelmidpoint (const CGAL::Segment_3< Kernel > &s)
 
CGAL::Point_2< Kernelmin_vertex (const CGAL::Iso_rectangle_2< Kernel > &ir)
 
CGAL::Point_3< Kernelmin_vertex (const CGAL::Iso_cuboid_3< Kernel > &ic)
 
CGAL::Vector_3< Kernelnormal (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< Kernelorthogonal_vector (const CGAL::Plane_3< Kernel > &p)
 
CGAL::Vector_3< Kernelorthogonal_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< Kernelradical_plane (const CGAL::Sphere_3< Kernel > &s1, const CGAL::Sphere_3< Kernel > &s2)
 
CGAL::Line_2< Kernelradical_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< Kernelunit_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)
 
decltype(auto) 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< CircularKernelx_extremal_point (const Circle_2< CircularKernel > &c, bool b)
 
OutputIterator x_extremal_points (const Circle_2< CircularKernel > &c, OutputIterator res)
 
Circular_arc_point_2< CircularKernely_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< SphericalKerneltheta_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< SphericalKernelx_extremal_point (const CGAL::Sphere_3< SphericalKernel > &c, bool b)
 
CGAL::Circular_arc_point_3< SphericalKernelx_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< SphericalKernely_extremal_point (const CGAL::Sphere_3< SphericalKernel > &c, bool b)
 
CGAL::Circular_arc_point_3< SphericalKernely_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< SphericalKernelz_extremal_point (const CGAL::Sphere_3< SphericalKernel > &c, bool b)
 
CGAL::Circular_arc_point_3< SphericalKernelz_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 (ForwardIterator first, ForwardIterator 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 (const VertexListGraph &g, PolygonMesh &pm, const NamedParameters &np=parameters::default_values())
 
void convex_hull_3 (InputIterator first, InputIterator last, Object &ch_object, const Traits &ch_traits=Default_traits)
 
void convex_hull_3 (InputIterator first, InputIterator last, PointRange &vertices, PolygonRange &faces, 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)
 
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)
 
boost::optional< typename Kernel_traits< typename std::iterator_traits< PlaneIterator >::value_type >::Kernel::Point_3halfspace_intersection_interior_point_3 (PlaneIterator begin, PlaneIterator end)
 
void complement (const Polygon_2< Kernel, Container > &pgn, Polygon_with_holes_2< Kernel, Container > &res)
 
void complement (const Polygon_2< Kernel, Container > &pgn, Polygon_with_holes_2< Kernel, Container > &res, UsePolylines=Tag_true())
 
void complement (const General_polygon_2< ArrTraits > &pgn, General_polygon_with_holes_2< General_polygon_2< Arr_traits >> &res)
 
OutputIterator complement (const Polygon_with_holes_2< Kernel, Container > &pgn, OutputIterator oi)
 
OutputIterator complement (const Polygon_with_holes_2< Kernel, Container > &pgn, OutputIterator oi, UsePolylines=Tag_true())
 
OutputIterator complement (const General_polygon_with_holes_2< General_polygon_2< ArrTraits >> &pgn, OutputIterator oi)
 
void complement (const Polygon_2< Kernel, Container > &pgn, Polygon_with_holes_2< Kernel, Container > &res, const GpsTraits &traits)
 
void complement (const General_polygon_2< ArrTraits > &pgn, General_polygon_with_holes_2< General_polygon_2< Arr_traits >> &res, const GpsTraits &traits)
 
OutputIterator complement (const