\( \newcommand{\E}{\mathrm{E}} \) \( \newcommand{\A}{\mathrm{A}} \) \( \newcommand{\R}{\mathrm{R}} \) \( \newcommand{\N}{\mathrm{N}} \) \( \newcommand{\Q}{\mathrm{Q}} \) \( \newcommand{\Z}{\mathrm{Z}} \) \( \def\ccSum #1#2#3{ \sum_{#1}^{#2}{#3} } \def\ccProd #1#2#3{ \sum_{#1}^{#2}{#3} }\)
CGAL 4.13.1 - 2D Minkowski Sums
Namespaces | Classes | Typedefs | Enumerations | Functions | Variables
CGAL Namespace Reference

Namespaces

 cpp11
 
 cpp98
 
 IO
 

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  Aff_transformation_2
 
class  Aff_transformation_3
 
class  Algebraic_structure_traits
 
struct  Ambient_dimension
 
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_tag
 
struct  Cartesian
 
class  Cartesian_converter
 
struct  Cast_function_object
 
class  CC_safe_handle
 
class  Circle_2
 
class  Circle_3
 
struct  Circulator_base
 
class  Circulator_from_container
 
class  Circulator_from_iterator
 
struct  Circulator_tag
 
struct  Circulator_traits
 
struct  Coercion_traits
 
class  Color
 
struct  Compact
 
class  Compact_container
 
class  Compact_container_base
 
struct  Compact_container_traits
 
class  Compare_to_less
 
class  Concurrent_compact_container
 
struct  Concurrent_compact_container_traits
 
class  Const_oneset_iterator
 
class  Constrained_Delaunay_triangulation_2
 
class  Constrained_triangulation_2
 
class  Constrained_triangulation_face_base_2
 
class  Constrained_triangulation_plus_2
 
struct  Construct_array
 
class  Container_from_circulator
 
class  Counting_iterator
 
class  Creator_1
 
class  Creator_2
 
class  Creator_3
 
class  Creator_4
 
class  Creator_5
 
class  Creator_uniform_2
 
class  Creator_uniform_3
 
class  Creator_uniform_4
 
class  Creator_uniform_5
 
class  Creator_uniform_6
 
class  Creator_uniform_7
 
class  Creator_uniform_8
 
class  Creator_uniform_9
 
class  Creator_uniform_d
 
struct  Default
 
class  Delaunay_triangulation_2
 
struct  Dereference
 
struct  Dimension_tag
 
class  Direction_2
 
class  Direction_3
 
class  Dispatch_or_drop_output_iterator
 
class  Dispatch_output_iterator
 
struct  Dynamic_dimension_tag
 
struct  Emptyset_iterator
 
struct  Euclidean_ring_tag
 
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
 
struct  Fast
 
struct  Feature_dimension
 
struct  Field_tag
 
struct  Field_with_kth_root_tag
 
struct  Field_with_root_of_tag
 
struct  Field_with_sqrt_tag
 
struct  Filter_iterator
 
struct  Filtered_kernel
 
struct  Filtered_kernel_adaptor
 
class  Filtered_predicate
 
struct  Forward_circulator_base
 
class  Forward_circulator_ptrbase
 
struct  Forward_circulator_tag
 
class  Fourtuple
 
class  Fraction_traits
 
class  General_polygon_2
 
class  General_polygon_set_2
 
class  General_polygon_with_holes_2
 
struct  Get_address
 
class  Gmpfi
 
class  Gmpfr
 
class  Gmpq
 
class  Gmpz
 
class  Gmpzf
 
class  Gps_circle_segment_traits_2
 
class  Gps_default_dcel
 
class  Gps_face_base
 
class  Gps_halfedge_base
 
class  Gps_segment_traits_2
 
class  Gps_traits_2
 
class  Greene_convex_decomposition_2
 The Greene_convex_decomposition_2 class implements the approximation algorithm of Greene for the decomposition of an input polygon into convex sub-polygons [6]. More...
 
class  Hertel_Mehlhorn_convex_decomposition_2
 The Hertel_Mehlhorn_convex_decomposition_2 class implements the approximation algorithm of Hertel and Mehlhorn for decomposing a polygon into convex sub-polygons [8]. More...
 
struct  Homogeneous
 
class  Homogeneous_converter
 
struct  Identity
 
class  Identity_transformation
 
class  In_place_list
 
class  In_place_list_base
 
class  Input_rep
 
class  Insert_iterator
 
struct  Integral_domain_tag
 
struct  Integral_domain_without_division_tag
 
class  Interval_nt
 
class  Inverse_index
 
class  Is_convex_2
 
class  Is_vacuously_valid
 
class  Is_valid
 
class  Is_y_monotone_2
 
class  Iso_cuboid_3
 
class  Iso_rectangle_2
 
class  Istream_iterator
 
class  Iterator_range
 
struct  Iterator_tag
 
class  Join_input_iterator_1
 
class  Join_input_iterator_2
 
class  Join_input_iterator_3
 
struct  Kernel_traits
 
class  Lazy_exact_nt
 
class  Line_2
 
class  Line_3
 
struct  Location_policy
 
struct  Max
 
struct  Min
 
class  MP_Float
 
struct  Mpzf
 
class  Multiset
 
class  N_step_adaptor
 
struct  No_intersection_tag
 
struct  NT_converter
 
struct  Null_functor
 
struct  Null_tag
 
class  Null_vector
 
class  Number_type_checker
 
class  Object
 
class  Oneset_iterator
 
class  Optimal_convex_decomposition_2
 The Optimal_convex_decomposition_2 class provides an implementation of Greene's dynamic programming algorithm for optimal decomposition of a polygon into convex sub-polygons [6]. More...
 
class  Origin
 
class  Ostream_iterator
 
class  Output_rep
 
struct  Parallel_tag
 
class  Partition_is_valid_traits_2
 
class  Partition_traits_2
 
class  Plane_3
 
class  Point_2
 
class  Point_3
 
class  Polygon_2
 
class  Polygon_nop_decomposition_2
 The Polygon_nop_decomposition_2 class implements a convex decomposition of a polygon, which merely passes the input polygon to the list of output convex polygons. More...
 
class  Polygon_set_2
 
class  Polygon_triangulation_decomposition_2
 The Polygon_triangulation_decomposition_2 class implements a convex decomposition of a polygon or a polygon with holes into triangles using the Delaunay constrained triangulation functionality of the 2D Triangulation package. More...
 
class  Polygon_vertical_decomposition_2
 The Polygon_vertical_decomposition_2 class implements a convex decompistion of a polygon or a polygon with holes into pseudo trapezoids utilizing the CGAL::decompose() free function of the 2D Arrangements package. More...
 
class  Polygon_with_holes_2
 
struct  Project_facet
 
struct  Project_next
 
struct  Project_next_opposite
 
struct  Project_normal
 
struct  Project_opposite_prev
 
struct  Project_plane
 
struct  Project_point
 
struct  Project_prev
 
struct  Project_vertex
 
class  Projection_traits_xy_3
 
class  Projection_traits_xz_3
 
class  Projection_traits_yz_3
 
struct  Protect_FPU_rounding
 
class  Quadruple
 
class  Quotient
 
class  Random_access_adaptor
 
struct  Random_access_circulator_base
 
class  Random_access_circulator_ptrbase
 
struct  Random_access_circulator_tag
 
class  Random_access_value_adaptor
 
class  Rational_traits
 
class  Ray_2
 
class  Ray_3
 
class  Real_embeddable_traits
 
class  Reflection
 
class  Regular_triangulation_2
 
class  Regular_triangulation_euclidean_traits_2
 
class  Regular_triangulation_face_base_2
 
class  Regular_triangulation_filtered_traits_2
 
class  Regular_triangulation_vertex_base_2
 
struct  Root_of_traits
 
class  Rotation
 
class  Scaling
 
class  Segment_2
 
class  Segment_3
 
struct  Sequential_tag
 
class  Set_ieee_double_precision
 
struct  Simple_cartesian
 
struct  Simple_homogeneous
 
class  Sixtuple
 
class  Small_side_angle_bisector_decomposition_2
 The Small_side_angle_bisector_decomposition_2 class implements a simple yet efficient heuristic for decomposing an input polygon into convex sub-polygons. More...
 
class  Spatial_lock_grid_3
 
class  Sphere_3
 
class  Sqrt_extension
 
class  Tetrahedron_3
 
class  Threetuple
 
class  Translation
 
class  Triangle_2
 
class  Triangle_3
 
class  Triangulation_2
 
class  Triangulation_cw_ccw_2
 
class  Triangulation_euclidean_traits_2
 
class  Triangulation_face_base_2
 
class  Triangulation_face_base_with_info_2
 
class  Triangulation_hierarchy_2
 
class  Triangulation_hierarchy_vertex_base_2
 
class  Triangulation_vertex_base_2
 
class  Triangulation_vertex_base_with_info_2
 
class  Triple
 
class  Twotuple
 
class  Uncertain
 
struct  Unique_factorization_domain_tag
 
struct  value_type_traits
 
struct  value_type_traits< std::back_insert_iterator< Container > >
 
struct  value_type_traits< std::front_insert_iterator< Container > >
 
struct  value_type_traits< std::insert_iterator< Container > >
 
class  Vector_2
 
class  Vector_3
 
class  Verbose_ostream
 
class  Weighted_point
 
class  Weighted_point_2
 
class  Weighted_point_3
 

Typedefs

typedef Sign Orientation
 
typedef Location_policy< Compact > Compact_location
 
typedef Location_policy< Fast > Fast_location
 
typedef CGAL::Boolean_tag< false > Tag_false
 
typedef CGAL::Boolean_tag< true > Tag_true
 
typedef void(* Failure_function) (const char *type, const char *expression, const char *file, int line, const char *explanation)
 
typedef Box_parameter_space_2 Arr_parameter_space
 
typedef Interval_nt< false > Interval_nt_advanced
 
typedef unspecified_type Exact_integer
 
typedef unspecified_type Exact_rational
 

Enumerations

enum  Angle
 
enum  Bounded_side
 
enum  Comparison_result
 
enum  Sign
 
enum  Oriented_side
 
enum  Box_parameter_space_2
 
enum  Failure_behaviour
 
enum  Arr_curve_end
 
enum  Arr_halfedge_direction
 

Functions

T enum_cast (const U &u)
 
Oriented_side opposite (const Oriented_side &o)
 
Bounded_side opposite (const Bounded_side &o)
 
bool do_intersect (Type1< Kernel > obj1, Type2< Kernel > obj2)
 
cpp11::result_of< Kernel::Intersect_23(Type1, Type2)>::type intersection (Type1< Kernel > obj1, Type2< Kernel > obj2)
 
boost::optional< boost::variant< Point_3, Line_3, Plane_3 > > intersection (const Plane_3< Kernel > &pl1, const Plane_3< Kernel > &pl2, const Plane_3< Kernel > &pl3)
 
Angle angle (const CGAL::Vector_2< Kernel > &u, const CGAL::Vector_2< Kernel > &v)
 
Angle angle (const CGAL::Point_2< Kernel > &p, const CGAL::Point_2< Kernel > &q, const CGAL::Point_2< Kernel > &r)
 
Angle angle (const CGAL::Point_2< Kernel > &p, const CGAL::Point_2< Kernel > &q, const CGAL::Point_2< Kernel > &r, const CGAL::Point_2< Kernel > &s)
 
Angle angle (const CGAL::Vector_3< Kernel > &u, const CGAL::Vector_3< Kernel > &v)
 
Angle angle (const CGAL::Point_3< Kernel > &p, const CGAL::Point_3< Kernel > &q, const CGAL::Point_3< Kernel > &r)
 
Angle angle (const CGAL::Point_3< Kernel > &p, const CGAL::Point_3< Kernel > &q, const CGAL::Point_3< Kernel > &r, const CGAL::Point_3< Kernel > &s)
 
Angle angle (const CGAL::Point_3< Kernel > &p, const CGAL::Point_3< Kernel > &q, const CGAL::Point_3< Kernel > &r, const CGAL::Vector_3< Kernel > &v)
 
Kernel::FT approximate_dihedral_angle (const CGAL::Point_3< Kernel > &p, const CGAL::Point_3< Kernel > &q, const CGAL::Point_3< Kernel > &r, const CGAL::Point_3< Kernel > &s)
 
Kernel::FT area (const CGAL::Point_2< Kernel > &p, const CGAL::Point_2< Kernel > &q, const CGAL::Point_2< Kernel > &r)
 
bool are_ordered_along_line (const CGAL::Point_2< Kernel > &p, const CGAL::Point_2< Kernel > &q, const CGAL::Point_2< Kernel > &r)
 
bool are_ordered_along_line (const CGAL::Point_3< Kernel > &p, const CGAL::Point_3< Kernel > &q, const CGAL::Point_3< Kernel > &r)
 
bool are_strictly_ordered_along_line (const CGAL::Point_2< Kernel > &p, const CGAL::Point_2< Kernel > &q, const CGAL::Point_2< Kernel > &r)
 
bool are_strictly_ordered_along_line (const CGAL::Point_3< Kernel > &p, const CGAL::Point_3< Kernel > &q, const CGAL::Point_3< Kernel > &r)
 
CGAL::Point_2< Kernel > barycenter (const CGAL::Point_2< Kernel > &p1, const Kernel::FT &w1, const CGAL::Point_2< Kernel > &p2)
 
CGAL::Point_2< Kernel > barycenter (const CGAL::Point_2< Kernel > &p1, const Kernel::FT &w1, const CGAL::Point_2< Kernel > &p2, const Kernel::FT &w2)
 
CGAL::Point_2< Kernel > barycenter (const CGAL::Point_2< Kernel > &p1, const Kernel::FT &w1, const CGAL::Point_2< Kernel > &p2, const Kernel::FT &w2, const CGAL::Point_2< Kernel > &p3)
 
CGAL::Point_2< Kernel > barycenter (const CGAL::Point_2< Kernel > &p1, const Kernel::FT &w1, const CGAL::Point_2< Kernel > &p2, const Kernel::FT &w2, const CGAL::Point_2< Kernel > &p3, const Kernel::FT &w3)
 
CGAL::Point_2< Kernel > barycenter (const CGAL::Point_2< Kernel > &p1, const Kernel::FT &w1, const CGAL::Point_2< Kernel > &p2, const Kernel::FT &w2, const CGAL::Point_2< Kernel > &p3, const Kernel::FT &w3, const CGAL::Point_2< Kernel > &p4)
 
CGAL::Point_2< Kernel > barycenter (const CGAL::Point_2< Kernel > &p1, const Kernel::FT &w1, const CGAL::Point_2< Kernel > &p2, const Kernel::FT &w2, const CGAL::Point_2< Kernel > &p3, const Kernel::FT &w3, const CGAL::Point_2< Kernel > &p4, const Kernel::FT &w4)
 
CGAL::Point_3< Kernel > barycenter (const CGAL::Point_3< Kernel > &p1, const Kernel::FT &w1, const CGAL::Point_3< Kernel > &p2)
 
CGAL::Point_3< Kernel > barycenter (const CGAL::Point_3< Kernel > &p1, const Kernel::FT &w1, const CGAL::Point_3< Kernel > &p2, const Kernel::FT &w2)
 
CGAL::Point_3< Kernel > barycenter (const CGAL::Point_3< Kernel > &p1, const Kernel::FT &w1, const CGAL::Point_3< Kernel > &p2, const Kernel::FT &w2, const CGAL::Point_3< Kernel > &p3)
 
CGAL::Point_3< Kernel > barycenter (const CGAL::Point_3< Kernel > &p1, const Kernel::FT &w1, const CGAL::Point_3< Kernel > &p2, const Kernel::FT &w2, const CGAL::Point_3< Kernel > &p3, const Kernel::FT &w3)
 
CGAL::Point_3< Kernel > barycenter (const CGAL::Point_3< Kernel > &p1, const Kernel::FT &w1, const CGAL::Point_3< Kernel > &p2, const Kernel::FT &w2, const CGAL::Point_3< Kernel > &p3, const Kernel::FT &w3, const CGAL::Point_3< Kernel > &p4)
 
CGAL::Point_3< Kernel > barycenter (const CGAL::Point_3< Kernel > &p1, const Kernel::FT &w1, const CGAL::Point_3< Kernel > &p2, const Kernel::FT &w2, const CGAL::Point_3< Kernel > &p3, const Kernel::FT &w3, const CGAL::Point_3< Kernel > &p4, const Kernel::FT &w4)
 
CGAL::Line_2< Kernel > bisector (const CGAL::Point_2< Kernel > &p, const CGAL::Point_2< Kernel > &q)
 
CGAL::Line_2< Kernel > bisector (const CGAL::Line_2< Kernel > &l1, const CGAL::Line_2< Kernel > &l2)
 
CGAL::Plane_3< Kernel > bisector (const CGAL::Point_3< Kernel > &p, const CGAL::Point_3< Kernel > &q)
 
CGAL::Plane_3< Kernel > bisector (const CGAL::Plane_3< Kernel > &h1, const CGAL::Plane_3< Kernel > &h2)
 
CGAL::Point_2< Kernel > centroid (const CGAL::Point_2< Kernel > &p, const CGAL::Point_2< Kernel > &q, const CGAL::Point_2< Kernel > &r)
 
CGAL::Point_2< Kernel > centroid (const CGAL::Point_2< Kernel > &p, const CGAL::Point_2< Kernel > &q, const CGAL::Point_2< Kernel > &r, const CGAL::Point_2< Kernel > &s)
 
CGAL::Point_2< Kernel > centroid (const CGAL::Triangle_2< Kernel > &t)
 
CGAL::Point_3< Kernel > centroid (const CGAL::Point_3< Kernel > &p, const CGAL::Point_3< Kernel > &q, const CGAL::Point_3< Kernel > &r)
 
CGAL::Point_3< Kernel > centroid (const CGAL::Point_3< Kernel > &p, const CGAL::Point_3< Kernel > &q, const CGAL::Point_3< Kernel > &r, const CGAL::Point_3< Kernel > &s)
 
CGAL::Point_3< Kernel > centroid (const CGAL::Triangle_3< Kernel > &t)
 
CGAL::Point_3< Kernel > centroid (const CGAL::Tetrahedron_3< Kernel > &t)
 
CGAL::Point_2< Kernel > circumcenter (const CGAL::Point_2< Kernel > &p, const CGAL::Point_2< Kernel > &q)
 
CGAL::Point_2< Kernel > circumcenter (const CGAL::Point_2< Kernel > &p, const CGAL::Point_2< Kernel > &q, const CGAL::Point_2< Kernel > &r)
 
CGAL::Point_2< Kernel > circumcenter (const CGAL::Triangle_2< Kernel > &t)
 
CGAL::Point_3< Kernel > circumcenter (const CGAL::Point_3< Kernel > &p, const CGAL::Point_3< Kernel > &q)
 
CGAL::Point_3< Kernel > circumcenter (const CGAL::Point_3< Kernel > &p, const CGAL::Point_3< Kernel > &q, const CGAL::Point_3< Kernel > &r)
 
CGAL::Point_3< Kernel > circumcenter (const CGAL::Triangle_3< Kernel > &t)
 
CGAL::Point_3< Kernel > circumcenter (const CGAL::Point_3< Kernel > &p, const CGAL::Point_3< Kernel > &q, const CGAL::Point_3< Kernel > &r, const CGAL::Point_3< Kernel > &s)
 
CGAL::Point_3< Kernel > circumcenter (const CGAL::Tetrahedron_3< Kernel > &t)
 
bool collinear_are_ordered_along_line (const CGAL::Point_2< Kernel > &p, const CGAL::Point_2< Kernel > &q, const CGAL::Point_2< Kernel > &r)
 
bool collinear_are_ordered_along_line (const CGAL::Point_3< Kernel > &p, const CGAL::Point_3< Kernel > &q, const CGAL::Point_3< Kernel > &r)
 
bool collinear_are_strictly_ordered_along_line (const CGAL::Point_2< Kernel > &p, const CGAL::Point_2< Kernel > &q, const CGAL::Point_2< Kernel > &r)
 
bool collinear_are_strictly_ordered_along_line (const CGAL::Point_3< Kernel > &p, const CGAL::Point_3< Kernel > &q, const CGAL::Point_3< Kernel > &r)
 
bool collinear (const CGAL::Point_2< Kernel > &p, const CGAL::Point_2< Kernel > &q, const CGAL::Point_2< Kernel > &r)
 
bool collinear (const CGAL::Point_3< Kernel > &p, const CGAL::Point_3< Kernel > &q, const CGAL::Point_3< Kernel > &r)
 
Comparison_result compare_dihedral_angle (const CGAL::Point_3< Kernel > &a1, const CGAL::Point_3< Kernel > &b1, const CGAL::Point_3< Kernel > &c1, const CGAL::Point_3< Kernel > &d1, const Kernel::FT &cosine)
 
Comparison_result compare_dihedral_angle (const CGAL::Point_3< Kernel > &a1, const CGAL::Point_3< Kernel > &b1, const CGAL::Point_3< Kernel > &c1, const CGAL::Point_3< Kernel > &d1, const CGAL::Point_3< Kernel > &a2, const CGAL::Point_3< Kernel > &b2, const CGAL::Point_3< Kernel > &c2, const CGAL::Point_3< Kernel > &d2)
 
Comparison_result compare_dihedral_angle (const CGAL::Vector_3< Kernel > &u1, const CGAL::Vector_3< Kernel > &v1, const CGAL::Vector_3< Kernel > &w1, const Kernel::FT &cosine)
 
Comparison_result compare_dihedral_angle (const CGAL::Vector_3< Kernel > &u1, const CGAL::Vector_3< Kernel > &v1, const CGAL::Vector_3< Kernel > &w1, const CGAL::Vector_3< Kernel > &u2, const CGAL::Vector_3< Kernel > &v2, const CGAL::Vector_3< Kernel > &w2)
 
Comparison_result compare_distance_to_point (const CGAL::Point_2< Kernel > &p, const CGAL::Point_2< Kernel > &q, const CGAL::Point_2< Kernel > &r)
 
Comparison_result compare_distance_to_point (const CGAL::Point_3< Kernel > &p, const CGAL::Point_3< Kernel > &q, const CGAL::Point_3< Kernel > &r)
 
Comparison_result compare_lexicographically (const CGAL::Point_2< Kernel > &p, const CGAL::Point_2< Kernel > &q)
 
Comparison_result compare_lexicographically (const CGAL::Point_3< Kernel > &p, const CGAL::Point_3< Kernel > &q)
 
Comparison_result compare_signed_distance_to_line (const CGAL::Line_2< Kernel > &l, const CGAL::Point_2< Kernel > &p, const CGAL::Point_2< Kernel > &q)
 
Comparison_result compare_signed_distance_to_line (const CGAL::Point_2< Kernel > &p, const CGAL::Point_2< Kernel > &q, const CGAL::Point_2< Kernel > &r, const CGAL::Point_2< Kernel > &s)
 
Comparison_result compare_signed_distance_to_plane (const CGAL::Plane_3< Kernel > &h, const CGAL::Point_3< Kernel > &p, const CGAL::Point_3< Kernel > &q)
 
Comparison_result compare_signed_distance_to_plane (const CGAL::Point_3< Kernel > &p, const CGAL::Point_3< Kernel > &q, const CGAL::Point_3< Kernel > &r, const CGAL::Point_3< Kernel > &s, const CGAL::Point_3< Kernel > &t)
 
Comparison_result compare_slope (const CGAL::Line_2< Kernel > &l1, const CGAL::Line_2< Kernel > &l2)
 
Comparison_result compare_slope (const CGAL::Segment_2< Kernel > &s1, const CGAL::Segment_2< Kernel > &s2)
 
Comparison_result compare_slope (const CGAL::Point_3< Kernel > &p, const CGAL::Point_3< Kernel > &q, const CGAL::Point_3< Kernel > &r, const CGAL::Point_3< Kernel > &s)
 
Comparison_result compare_squared_distance (const CGAL::Point_2< Kernel > &p, const CGAL::Point_2< Kernel > &q, const typename Kernel::FT &d2)
 
Comparison_result compare_squared_distance (const CGAL::Point_3< Kernel > &p, const CGAL::Point_3< Kernel > &q, const typename Kernel::FT &d2)
 
Comparison_result compare_squared_radius (const CGAL::Point_3< Kernel > &p, const typename Kernel::FT &sr)
 
Comparison_result compare_squared_radius (const CGAL::Point_3< Kernel > &p, const CGAL::Point_3< Kernel > &q, const typename Kernel::FT &sr)
 
Comparison_result compare_squared_radius (const CGAL::Point_3< Kernel > &p, const CGAL::Point_3< Kernel > &q, const CGAL::Point_3< Kernel > &r, const typename Kernel::FT &sr)
 
Comparison_result compare_squared_radius (const CGAL::Point_3< Kernel > &p, const CGAL::Point_3< Kernel > &q, const CGAL::Point_3< Kernel > &r, const CGAL::Point_3< Kernel > &s, const typename Kernel::FT &sr)
 
Comparison_result compare_x (const CGAL::Point_2< Kernel > &p, const CGAL::Point_2< Kernel > &q)
 
Comparison_result compare_x (const CGAL::Point_3< Kernel > &p, const CGAL::Point_3< Kernel > &q)
 
Comparison_result compare_x (const CGAL::Point_2< Kernel > &p, const CGAL::Line_2< Kernel > &l1, const CGAL::Line_2< Kernel > &l2)
 
Comparison_result compare_x (const CGAL::Line_2< Kernel > &l, const CGAL::Line_2< Kernel > &h1, const CGAL::Line_2< Kernel > &h2)
 
Comparison_result compare_x (const CGAL::Line_2< Kernel > &l1, const CGAL::Line_2< Kernel > &l2, const CGAL::Line_2< Kernel > &h1, const CGAL::Line_2< Kernel > &h2)
 
Comparison_result compare_x (const CGAL::Circular_arc_point_2< CircularKernel > &p, const CGAL::Circular_arc_point_2< CircularKernel > &q)
 
Comparison_result compare_x (const CGAL::Circular_arc_point_2< CircularKernel > &p, const CGAL::Point_2< CircularKernel > &q)
 
Comparison_result compare_x (const CGAL::Circular_arc_point_3< SphericalKernel > &p, const CGAL::Circular_arc_point_3< SphericalKernel > &q)
 
Comparison_result compare_x (const CGAL::Circular_arc_point_3< SphericalKernel > &p, const CGAL::Point_3< SphericalKernel > &q)
 
Comparison_result compare_xy (const CGAL::Point_2< Kernel > &p, const CGAL::Point_2< Kernel > &q)
 
Comparison_result compare_xy (const CGAL::Point_3< Kernel > &p, const CGAL::Point_3< Kernel > &q)
 
Comparison_result compare_xy (const CGAL::Circular_arc_point_2< CircularKernel > &p, const CGAL::Circular_arc_point_2< CircularKernel > &q)
 
Comparison_result compare_xy (const CGAL::Circular_arc_point_2< CircularKernel > &p, const CGAL::Point_2< CircularKernel > &q)
 
Comparison_result compare_xy (const CGAL::Circular_arc_point_3< SphericalKernel > &p, const CGAL::Circular_arc_point_3< SphericalKernel > &q)
 
Comparison_result compare_xy (const CGAL::Circular_arc_point_3< SphericalKernel > &p, const CGAL::Point_3< SphericalKernel > &q)
 
Comparison_result compare_x_at_y (const CGAL::Point_2< Kernel > &p, const CGAL::Line_2< Kernel > &h)
 
Comparison_result compare_x_at_y (const CGAL::Point_2< Kernel > &p, const CGAL::Line_2< Kernel > &h1, const CGAL::Line_2< Kernel > &h2)
 
Comparison_result compare_x_at_y (const CGAL::Line_2< Kernel > &l1, const CGAL::Line_2< Kernel > &l2, const CGAL::Line_2< Kernel > &h)
 
Comparison_result compare_x_at_y (const CGAL::Line_2< Kernel > &l1, const CGAL::Line_2< Kernel > &l2, const CGAL::Line_2< Kernel > &h1, const CGAL::Line_2< Kernel > &h2)
 
Comparison_result compare_y_at_x (const CGAL::Point_2< Kernel > &p, const CGAL::Line_2< Kernel > &h)
 
Comparison_result compare_y_at_x (const CGAL::Point_2< Kernel > &p, const CGAL::Line_2< Kernel > &h1, const CGAL::Line_2< Kernel > &h2)
 
Comparison_result compare_y_at_x (const CGAL::Line_2< Kernel > &l1, const CGAL::Line_2< Kernel > &l2, const CGAL::Line_2< Kernel > &h)
 
Comparison_result compare_y_at_x (const CGAL::Line_2< Kernel > &l1, const CGAL::Line_2< Kernel > &l2, const CGAL::Line_2< Kernel > &h1, const CGAL::Line_2< Kernel > &h2)
 
Comparison_result compare_y_at_x (const CGAL::Point_2< Kernel > &p, const CGAL::Segment_2< Kernel > &s)
 
Comparison_result compare_y_at_x (const CGAL::Point_2< Kernel > &p, const CGAL::Segment_2< Kernel > &s1, const CGAL::Segment_2< Kernel > &s2)
 
Comparison_result compare_y (const CGAL::Point_2< Kernel > &p, const CGAL::Point_2< Kernel > &q)
 
Comparison_result compare_y (const CGAL::Point_3< Kernel > &p, const CGAL::Point_3< Kernel > &q)
 
Comparison_result compare_y (const CGAL::Point_2< Kernel > &p, const CGAL::Line_2< Kernel > &l1, const CGAL::Line_2< Kernel > &l2)
 
Comparison_result compare_y (const CGAL::Line_2< Kernel > &l, const CGAL::Line_2< Kernel > &h1, const CGAL::Line_2< Kernel > &h2)
 
Comparison_result compare_y (const CGAL::Line_2< Kernel > &l1, const CGAL::Line_2< Kernel > &l2, const CGAL::Line_2< Kernel > &h1, const CGAL::Line_2< Kernel > &h2)
 
Comparison_result compare_y (const CGAL::Circular_arc_point_2< CircularKernel > &p, const CGAL::Circular_arc_point_2< CircularKernel > &q)
 
Comparison_result compare_y (const CGAL::Circular_arc_point_2< CircularKernel > &p, const CGAL::Point_2< CircularKernel > &q)
 
Comparison_result compare_y (const CGAL::Circular_arc_point_3< SphericalKernel > &p, const CGAL::Circular_arc_point_3< SphericalKernel > &q)
 
Comparison_result compare_y (const CGAL::Circular_arc_point_3< SphericalKernel > &p, const CGAL::Point_3< SphericalKernel > &q)
 
Comparison_result compare_xyz (const CGAL::Point_3< Kernel > &p, const CGAL::Point_3< Kernel > &q)
 
Comparison_result compare_xyz (const CGAL::Circular_arc_point_3< SphericalKernel > &p, const CGAL::Circular_arc_point_3< SphericalKernel > &q)
 
Comparison_result compare_xyz (const CGAL::Circular_arc_point_3< SphericalKernel > &p, const CGAL::Point_3< SphericalKernel > &q)
 
Comparison_result compare_z (const CGAL::Point_3< Kernel > &p, const CGAL::Point_3< Kernel > &q)
 
Comparison_result compare_z (const CGAL::Circular_arc_point_3< SphericalKernel > &p, const CGAL::Circular_arc_point_3< SphericalKernel > &q)
 
Comparison_result compare_z (const CGAL::Circular_arc_point_3< SphericalKernel > &p, const CGAL::Point_3< SphericalKernel > &q)
 
Comparison_result compare_yx (const CGAL::Point_2< Kernel > &p, const CGAL::Point_2< Kernel > &q)
 
bool coplanar (const CGAL::Point_3< Kernel > &p, const CGAL::Point_3< Kernel > &q, const CGAL::Point_3< Kernel > &r, const CGAL::Point_3< Kernel > &s)
 
Orientation coplanar_orientation (const CGAL::Point_3< Kernel > &p, const CGAL::Point_3< Kernel > &q, const CGAL::Point_3< Kernel > &r, const CGAL::Point_3< Kernel > &s)
 
Orientation coplanar_orientation (const CGAL::Point_3< Kernel > &p, const CGAL::Point_3< Kernel > &q, const CGAL::Point_3< Kernel > &r)
 
Bounded_side coplanar_side_of_bounded_circle (const CGAL::Point_3< Kernel > &p, const CGAL::Point_3< Kernel > &q, const CGAL::Point_3< Kernel > &r, const CGAL::Point_3< Kernel > &s)
 
CGAL::Vector_3< Kernel > cross_product (const CGAL::Vector_3< Kernel > &u, const CGAL::Vector_3< Kernel > &v)
 
Kernel::FT determinant (const CGAL::Vector_2< Kernel > &v, const CGAL::Vector_2< Kernel > &w)
 
Kernel::FT determinant (const CGAL::Vector_3< Kernel > &u, const CGAL::Vector_3< Kernel > &v, const CGAL::Vector_3< Kernel > &w)
 
CGAL::Line_3< Kernel > equidistant_line (const CGAL::Point_3< Kernel > &p, const CGAL::Point_3< Kernel > &q, const CGAL::Point_3< Kernel > &r)
 
bool has_larger_distance_to_point (const CGAL::Point_2< Kernel > &p, const CGAL::Point_2< Kernel > &q, const CGAL::Point_2< Kernel > &r)
 
bool has_larger_distance_to_point (const CGAL::Point_3< Kernel > &p, const CGAL::Point_3< Kernel > &q, const CGAL::Point_3< Kernel > &r)
 
bool has_larger_signed_distance_to_line (const CGAL::Line_2< Kernel > &l, const CGAL::Point_2< Kernel > &p, const CGAL::Point_2< Kernel > &q)
 
bool has_larger_signed_distance_to_line (const CGAL::Point_2< Kernel > &p, const CGAL::Point_2< Kernel > &q, const CGAL::Point_2< Kernel > &r, const CGAL::Point_2< Kernel > &s)
 
bool has_larger_signed_distance_to_plane (const CGAL::Plane_3< Kernel > &h, const CGAL::Point_3< Kernel > &p, const CGAL::Point_3< Kernel > &q)
 
bool has_larger_signed_distance_to_plane (const CGAL::Point_3< Kernel > &p, const CGAL::Point_3< Kernel > &q, const CGAL::Point_3< Kernel > &r, const CGAL::Point_3< Kernel > &s, const CGAL::Point_3< Kernel > &t)
 
bool has_smaller_distance_to_point (const CGAL::Point_2< Kernel > &p, const CGAL::Point_2< Kernel > &q, const CGAL::Point_2< Kernel > &r)
 
bool has_smaller_distance_to_point (const CGAL::Point_3< Kernel > &p, const CGAL::Point_3< Kernel > &q, const CGAL::Point_3< Kernel > &r)
 
bool has_smaller_signed_distance_to_line (const CGAL::Line_2< Kernel > &l, const CGAL::Point_2< Kernel > &p, const CGAL::Point_2< Kernel > &q)
 
bool has_smaller_signed_distance_to_line (const CGAL::Point_2< Kernel > &p, const CGAL::Point_2< Kernel > &q, const CGAL::Point_2< Kernel > &r, const CGAL::Point_2< Kernel > &s)
 
bool has_smaller_signed_distance_to_plane (const CGAL::Plane_3< Kernel > &h, const CGAL::Point_3< Kernel > &p, const CGAL::Point_3< Kernel > &q)
 
bool has_smaller_signed_distance_to_plane (const CGAL::Point_3< Kernel > &p, const CGAL::Point_3< Kernel > &q, const CGAL::Point_3< Kernel > &r, const CGAL::Point_3< Kernel > &s, const CGAL::Point_3< Kernel > &t)
 
Kernel::FT l_infinity_distance (const CGAL::Point_2< Kernel > &p, const CGAL::Point_2< Kernel > &q)
 
Kernel::FT l_infinity_distance (const CGAL::Point_3< Kernel > &p, const CGAL::Point_3< Kernel > &q)
 
bool left_turn (const CGAL::Point_2< Kernel > &p, const CGAL::Point_2< Kernel > &q, const CGAL::Point_2< Kernel > &r)
 
bool lexicographically_xy_larger (const CGAL::Point_2< Kernel > &p, const CGAL::Point_2< Kernel > &q)
 
bool lexicographically_xy_larger_or_equal (const CGAL::Point_2< Kernel > &p, const CGAL::Point_2< Kernel > &q)
 
bool lexicographically_xy_smaller (const CGAL::Point_2< Kernel > &p, const CGAL::Point_2< Kernel > &q)
 
bool lexicographically_xy_smaller_or_equal (const CGAL::Point_2< Kernel > &p, const CGAL::Point_2< Kernel > &q)
 
bool lexicographically_xyz_smaller (const CGAL::Point_3< Kernel > &p, const CGAL::Point_3< Kernel > &q)
 
bool lexicographically_xyz_smaller_or_equal (const CGAL::Point_3< Kernel > &p, const CGAL::Point_3< Kernel > &q)
 
CGAL::Point_2< Kernel > max_vertex (const CGAL::Iso_rectangle_2< Kernel > &ir)
 
CGAL::Point_3< Kernel > max_vertex (const CGAL::Iso_cuboid_3< Kernel > &ic)
 
CGAL::Point_2< Kernel > midpoint (const CGAL::Point_2< Kernel > &p, const CGAL::Point_2< Kernel > &q)
 
CGAL::Point_3< Kernel > midpoint (const CGAL::Point_3< Kernel > &p, const CGAL::Point_3< Kernel > &q)
 
CGAL::Point_2< Kernel > min_vertex (const CGAL::Iso_rectangle_2< Kernel > &ir)
 
CGAL::Point_3< Kernel > min_vertex (const CGAL::Iso_cuboid_3< Kernel > &ic)
 
CGAL::Vector_3< Kernel > normal (const CGAL::Point_3< Kernel > &p, const CGAL::Point_3< Kernel > &q, const CGAL::Point_3< Kernel > &r)
 
Orientation orientation (const CGAL::Point_2< Kernel > &p, const CGAL::Point_2< Kernel > &q, const CGAL::Point_2< Kernel > &r)
 
Orientation orientation (const CGAL::Vector_2< Kernel > &u, const CGAL::Vector_2< Kernel > &v)
 
Orientation orientation (const CGAL::Point_3< Kernel > &p, const CGAL::Point_3< Kernel > &q, const CGAL::Point_3< Kernel > &r, const CGAL::Point_3< Kernel > &s)
 
Orientation orientation (const CGAL::Vector_3< Kernel > &u, const CGAL::Vector_3< Kernel > &v, const CGAL::Vector_3< Kernel > &w)
 
CGAL::Vector_3< Kernel > orthogonal_vector (const CGAL::Plane_3< Kernel > &p)
 
CGAL::Vector_3< Kernel > orthogonal_vector (const CGAL::Point_3< Kernel > &p, const CGAL::Point_3< Kernel > &q, const CGAL::Point_3< Kernel > &r)
 
bool parallel (const CGAL::Line_2< Kernel > &l1, const CGAL::Line_2< Kernel > &l2)
 
bool parallel (const CGAL::Ray_2< Kernel > &r1, const CGAL::Ray_2< Kernel > &r2)
 
bool parallel (const CGAL::Segment_2< Kernel > &s1, const CGAL::Segment_2< Kernel > &s2)
 
bool parallel (const CGAL::Line_3< Kernel > &l1, const CGAL::Line_3< Kernel > &l2)
 
bool parallel (const CGAL::Plane_3< Kernel > &h1, const CGAL::Plane_3< Kernel > &h2)
 
bool parallel (const CGAL::Ray_3< Kernel > &r1, const CGAL::Ray_3< Kernel > &r2)
 
bool parallel (const CGAL::Segment_3< Kernel > &s1, const CGAL::Segment_3< Kernel > &s2)
 
CGAL::Plane_3< Kernel > radical_plane (const CGAL::Sphere_3< Kernel > &s1, const CGAL::Sphere_3< Kernel > &s2)
 
CGAL::Line_2< Kernel > radical_line (const CGAL::Circle_2< Kernel > &c1, const CGAL::Circle_2< Kernel > &c2)
 
bool right_turn (const CGAL::Point_2< Kernel > &p, const CGAL::Point_2< Kernel > &q, const CGAL::Point_2< Kernel > &r)
 
Kernel::FT scalar_product (const CGAL::Vector_2< Kernel > &u, const CGAL::Vector_2< Kernel > &v)
 
Kernel::FT scalar_product (const CGAL::Vector_3< Kernel > &u, const CGAL::Vector_3< Kernel > &v)
 
Bounded_side side_of_bounded_circle (const CGAL::Point_2< Kernel > &p, const CGAL::Point_2< Kernel > &q, const CGAL::Point_2< Kernel > &r, const CGAL::Point_2< Kernel > &t)
 
Bounded_side side_of_bounded_circle (const CGAL::Point_2< Kernel > &p, const CGAL::Point_2< Kernel > &q, const CGAL::Point_2< Kernel > &t)
 
Bounded_side side_of_bounded_sphere (const CGAL::Point_3< Kernel > &p, const CGAL::Point_3< Kernel > &q, const CGAL::Point_3< Kernel > &r, const CGAL::Point_3< Kernel > &s, const CGAL::Point_3< Kernel > &t)
 
Bounded_side side_of_bounded_sphere (const CGAL::Point_3< Kernel > &p, const CGAL::Point_3< Kernel > &q, const CGAL::Point_3< Kernel > &r, const CGAL::Point_3< Kernel > &t)
 
Bounded_side side_of_bounded_sphere (const CGAL::Point_3< Kernel > &p, const CGAL::Point_3< Kernel > &q, const CGAL::Point_3< Kernel > &t)
 
Oriented_side side_of_oriented_circle (const CGAL::Point_2< Kernel > &p, const CGAL::Point_2< Kernel > &q, const CGAL::Point_2< Kernel > &r, const CGAL::Point_2< Kernel > &test)
 
Oriented_side side_of_oriented_sphere (const CGAL::Point_3< Kernel > &p, const CGAL::Point_3< Kernel > &q, const CGAL::Point_3< Kernel > &r, const CGAL::Point_3< Kernel > &s, const CGAL::Point_3< Kernel > &test)
 
Kernel::FT squared_area (const CGAL::Point_3< Kernel > &p, const CGAL::Point_3< Kernel > &q, const CGAL::Point_3< Kernel > &r)
 
FT squared_radius (const CGAL::Point_2< Kernel > &p, const CGAL::Point_2< Kernel > &q, const CGAL::Point_2< Kernel > &r)
 
FT squared_radius (const CGAL::Point_2< Kernel > &p, const CGAL::Point_2< Kernel > &q)
 
FT squared_radius (const CGAL::Point_2< Kernel > &p)
 
FT squared_radius (const CGAL::Point_3< Kernel > &p, const CGAL::Point_3< Kernel > &q, const CGAL::Point_3< Kernel > &r, const CGAL::Point_3< Kernel > &s)
 
FT squared_radius (const CGAL::Point_3< Kernel > &p, const CGAL::Point_3< Kernel > &q, const CGAL::Point_3< Kernel > &r)
 
FT squared_radius (const CGAL::Point_3< Kernel > &p, const CGAL::Point_3< Kernel > &q)
 
FT squared_radius (const CGAL::Point_3< Kernel > &p)
 
CGAL::Vector_3< Kernel > unit_normal (const CGAL::Point_3< Kernel > &p, const CGAL::Point_3< Kernel > &q, const CGAL::Point_3< Kernel > &r)
 
Kernel::FT volume (const CGAL::Point_3< Kernel > &p0, const CGAL::Point_3< Kernel > &p1, const CGAL::Point_3< Kernel > &p2, const CGAL::Point_3< Kernel > &p3)
 
bool x_equal (const CGAL::Point_2< Kernel > &p, const CGAL::Point_2< Kernel > &q)
 
bool x_equal (const CGAL::Point_3< Kernel > &p, const CGAL::Point_3< Kernel > &q)
 
bool y_equal (const CGAL::Point_2< Kernel > &p, const CGAL::Point_2< Kernel > &q)
 
bool y_equal (const CGAL::Point_3< Kernel > &p, const CGAL::Point_3< Kernel > &q)
 
bool z_equal (const CGAL::Point_3< Kernel > &p, const CGAL::Point_3< Kernel > &q)
 
void rational_rotation_approximation (const RingNumberType &dirx, const RingNumberType &diry, RingNumberType &sin_num, RingNumberType &cos_num, RingNumberType &denom, const RingNumberType &eps_num, const RingNumberType &eps_den)
 
Kernel::FT squared_distance (Type1< Kernel > obj1, Type2< Kernel > obj2)
 
Point_2< Homogeneous< RT > > cartesian_to_homogeneous (const Point_2< Cartesian< RT > > &cp)
 
Point_3< Homogeneous< RT > > cartesian_to_homogeneous (const Point_3< Cartesian< RT > > &cp)
 
Point_2< Cartesian< FT > > homogeneous_to_cartesian (const Point_2< Homogeneous< FT > > &hp)
 
Point_3< Cartesian< FT > > homogeneous_to_cartesian (const Point_3< Homogeneous< FT > > &hp)
 
Point_2< Cartesian< Quotient< RT > > > homogeneous_to_quotient_cartesian (const Point_2< Homogeneous< RT > > &hp)
 
Point_3< Cartesian< Quotient< RT > > > homogeneous_to_quotient_cartesian (const Point_3< Homogeneous< RT > > &hp)
 
Point_2< Homogeneous< RT > > quotient_cartesian_to_homogeneous (const Point_2< Cartesian< Quotient< RT > > > &cp)
 
Point_3< Homogeneous< RT > > quotient_cartesian_to_homogeneous (const Point_3< Cartesian< Quotient< RT > > > &cp)
 
bool do_intersect (Type1< CircularKernel > obj1, Type2< CircularKernel > obj2)
 
OutputIterator intersection (const Type1 &obj1, const Type2 &obj2, OutputIterator intersections)
 
Comparison_result compare_y_at_x (const CGAL::Circular_arc_point_2< CircularKernel > &p, const CGAL::Circular_arc_2< CircularKernel > &a)
 
Comparison_result compare_y_at_x (const CGAL::Circular_arc_point_2< CircularKernel > &p, const CGAL::Line_arc_2< CircularKernel > &a)
 
bool do_intersect (Type1< SphericalKernel > obj1, Type2< SphericalKernel > obj2)
 
bool do_intersect (Type1< SphericalKernel > obj1, Type2< SphericalKernel > obj2, Type3< SphericalKernel > obj3)
 
OutputIterator intersection (const SphericalType1 &obj1, const SphericalType2 &obj2, OutputIterator intersections)
 
OutputIterator intersection (const Type1 &obj1, const Type2 &obj2, const Type3 &obj3, OutputIterator intersections)
 
OutputIterator copy_n (InputIterator first, Size n, OutputIterator result)
 
std::pair< ForwardIterator, ForwardIterator > min_max_element (ForwardIterator first, ForwardIterator last)
 
std::pair< ForwardIterator, ForwardIterator > min_max_element (ForwardIterator first, ForwardIterator last, CompareMin comp_min, CompareMax comp_max)
 
BidirectionalIterator predecessor (BidirectionalIterator it)
 
ForwardIterator successor (ForwardIterator it)
 
CC_safe_handle< CC_iterator > make_cc_safe_handle (CC_iterator iterator)
 
Compare_to_less< F > compare_to_less (const F &f)
 
Iterator_range< T > make_range (const T &b, const T &e)
 
T range_begin (Iterator_range< T > &x)
 
T range_end (Iterator_range< T > &x)
 
T range_begin (const Iterator_range< T > &x)
 
T range_end (const Iterator_range< T > &x)
 
Failure_function set_error_handler (Failure_function handler)
 
Failure_function set_warning_handler (Failure_function handler)
 
Failure_behaviour set_error_behaviour (Failure_behaviour eb)
 
Failure_behaviour set_warning_behaviour (Failure_behaviour eb)
 
NT abs (const NT &x)
 
result_type compare (const NT &x, const NT &y)
 
result_type div (const NT1 &x, const NT2 &y)
 
void div_mod (const NT1 &x, const NT2 &y, result_type &q, result_type &r)
 
result_type gcd (const NT1 &x, const NT2 &y)
 
result_type integral_division (const NT1 &x, const NT2 &y)
 
NT inverse (const NT &x)
 
result_type is_negative (const NT &x)
 
result_type is_one (const NT &x)
 
result_type is_positive (const NT &x)
 
result_type is_square (const NT &x)
 
result_type is_square (const NT &x, NT &y)
 
result_type is_zero (const NT &x)
 
NT kth_root (int k, const NT &x)
 
result_type mod (const NT1 &x, const NT2 &y)
 
NT root_of (int k, InputIterator begin, InputIterator end)
 
result_type sign (const NT &x)
 
void simplify (const NT &x)
 
NT sqrt (const NT &x)
 
NT square (const NT &x)
 
double to_double (const NT &x)
 
std::pair< double, double > to_interval (const NT &x)
 
NT unit_part (const NT &x)
 
void Assert_circulator (const C &c)
 
void Assert_iterator (const I &i)
 
void Assert_circulator_or_iterator (const IC &i)
 
void Assert_input_category (const I &i)
 
void Assert_output_category (const I &i)
 
void Assert_forward_category (const IC &ic)
 
void Assert_bidirectional_category (const IC &ic)
 
void Assert_random_access_category (const IC &ic)
 
C::difference_type circulator_distance (C c, C d)
 
C::size_type circulator_size (C c)
 
bool is_empty_range (const IC &i, const IC &j)
 
iterator_traits< IC >::difference_type iterator_distance (IC ic1, IC ic2)
 
Iterator_tag query_circulator_or_iterator (const I &i)
 
Circulator_tag query_circulator_or_iterator (const C &c)
 
IO::Mode get_mode (std::ios &s)
 
IO::Mode set_ascii_mode (std::ios &s)
 
IO::Mode set_binary_mode (std::ios &s)
 
IO::Mode set_mode (std::ios &s, IO::Mode m)
 
IO::Mode set_pretty_mode (std::ios &s)
 
bool is_ascii (std::ios &s)
 
bool is_binary (std::ios &s)
 
bool is_pretty (std::ios &s)
 
Output_rep< T > oformat (const T &t)
 
Input_rep< T > iformat (const T &t)
 
Output_rep< T, F > oformat (const T &t, F)
 
ostream & operator<< (ostream &os, Class c)
 
istream & operator>> (istream &is, Class c)
 
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)
 
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)
 
void complement (const Polygon_2< Kernel, Container > &pgn, Polygon_with_holes_2< Kernel, Container > &res)
 
void complement (const General_polygon_2< Traits > &pgn, General_polygon_with_holes_2< Traits > &res)
 
OutputIterator complement (const Polygon_with_holes_2< Kernel, Container > &pgn, OutputIterator oi)
 
OutputIterator complement (const General_polygon_with_holes_2< General_polygon_2< Traits > > &pgn, OutputIterator oi)
 
OutputIterator difference (const Polygon_2< Kernel, Container > &p1, const Polygon_2< Kernel, Container > &p2, OutputIterator oi)
 
OutputIterator difference (const Polygon_2< Kernel, Container > &p1, const Polygon_with_holes_2< Kernel, Container > &p2, OutputIterator oi)
 
OutputIterator difference (const Polygon_with_holes_2< Kernel, Container > &p1, const Polygon_2< Kernel, Container > &p2, OutputIterator oi)
 
OutputIterator difference (const Polygon_with_holes_2< Kernel, Container > &p1, const Polygon_with_holes_2< Kernel, Container > &p2, OutputIterator oi)
 
OutputIterator difference (const General_polygon_2< Traits > &p1, const General_polygon_2< Traits > &p2, OutputIterator oi)
 
OutputIterator difference (const General_polygon_with_holes_2< General_polygon_2< Traits > > &p1, const General_polygon_2< Traits > &p2, OutputIterator oi)
 
OutputIterator difference (const General_polygon_2< Traits > &p1, const General_polygon_with_holes_2< General_polygon_2< Traits > > &p2, OutputIterator oi)
 
OutputIterator difference (const General_polygon_with_holes_2< Polygon > &p1, const General_polygon_with_holes_2< Polygon > &p2, OutputIterator oi)
 
bool do_intersect (const Polygon_2< Kernel, Container > &p1, const Polygon_2< Kernel, Container > &p2)
 
bool do_intersect (const Polygon_2< Kernel, Container > &p1, const Polygon_with_holes_2< Kernel, Container > &p2)
 
bool do_intersect (const Polygon_with_holes_2< Kernel, Container > &p1, const Polygon_2< Kernel, Container > &p2)
 
bool do_intersect (const Polygon_with_holes_2< Kernel, Container > &p1, const Polygon_with_holes_2< Kernel, Container > &p2)
 
bool do_intersect (const General_polygon_2< Traits > &p1, const General_polygon_2< Traits > &p2)
 
bool do_intersect (const General_polygon_2< Traits > &p1, const General_polygon_with_holes_2< General_polygon_2< Traits > > &p2)
 
bool do_intersect (const General_polygon_with_holes_2< General_polygon_2< Traits > > &p1, const General_polygon_2< Traits > &p2)
 
bool do_intersect (const General_polygon_with_holes_2< Polygon > &p1, const General_polygon_with_holes_2< Polygon > &p2)
 
bool do_intersect (InputIterator begin, InputIterator end)
 
bool do_intersect (InputIterator1 pgn_begin1, InputIterator1 pgn_end1, InputIterator2 pgn_begin2, InputIterator2 pgn_end2)
 
OutputIterator intersection (const Polygon_2< Kernel, Container > &p1, const Polygon_2< Kernel, Container > &p2, OutputIterator oi)
 
OutputIterator intersection (const Polygon_2< Kernel, Container > &p1, const Polygon_with_holes_2< Kernel, Container > &p2, OutputIterator oi)
 
OutputIterator intersection (const Polygon_with_holes_2< Kernel, Container > &p1, const Polygon_2< Kernel, Container > &p2, OutputIterator oi)
 
OutputIterator intersection (const Polygon_with_holes_2< Kernel, Container > &p1, const Polygon_with_holes_2< Kernel, Container > &p2, OutputIterator oi)
 
OutputIterator intersection (const General_polygon_2< Traits > &p1, const General_polygon_2< Traits > &p2, OutputIterator oi)
 
OutputIterator intersection (const General_polygon_with_holes_2< General_polygon_2< Traits > > &p1, const General_polygon_2< Traits > &p2, OutputIterator oi)
 
OutputIterator intersection (const General_polygon_2< Traits > &p1, const General_polygon_with_holes_2< General_polygon_2< Traits > > &p2, OutputIterator oi)
 
OutputIterator intersection (const General_polygon_with_holes_2< Polygon > &p1, const General_polygon_with_holes_2< Polygon > &p2, OutputIterator oi)
 
OutputIterator intersection (InputIterator begin, InputIterator end, OutputIterator oi)
 
OutputIterator intersection (InputIterator1 pgn_begin1, InputIterator1 pgn_end1, InputIterator2 pgn_begin2, InputIterator2 pgn_end2, OutputIterator oi)
 
bool join (const Polygon_2< Kernel, Container > &p1, const Polygon_2< Kernel, Container > &p2, General_polygon_with_holes_2< Polygon_2< Kernel, Container > > &res)
 
bool join (const Polygon_2< Kernel, Container > &p1, const Polygon_with_holes_2< Kernel, Container > &p2, General_polygon_with_holes_2< Polygon_2< Kernel, Container > > &res)
 
bool join (const Polygon_with_holes_2< Kernel, Container > &p2, const Polygon_2< Kernel, Container > &p1, General_polygon_with_holes_2< Polygon_2< Kernel, Container > > &res)
 
bool join (const Polygon_with_holes_2< Kernel, Container > &p2, const Polygon_with_holes_2< Kernel, Container > &p1, General_polygon_with_holes_2< Polygon_2< Kernel, Container > > &res)
 
bool join (const General_polygon_2< Traits > &p1, const General_polygon_2< Traits > &p2, General_polygon_with_holes_2< General_polygon_2< Traits > > &res)
 
bool join (const General_polygon_2< Traits > &p1, const General_polygon_with_holes_2< General_polygon_2< Traits > > &p2, General_polygon_with_holes_2< General_polygon_2< Traits > > &res)
 
bool join (const General_polygon_with_holes_2< General_polygon_2< Traits > > &p2, const General_polygon_2< Traits > &p1, General_polygon_with_holes_2< General_polygon_2< Traits > > &res)
 
bool join (const General_polygon_with_holes_2< Polygon > &p1, const General_polygon_with_holes_2< Polygon > &p2, Traits::Polygon_with_holes_2 &res)
 
OutputIterator join (InputIterator begin, InputIterator end, OutputIterator oi)
 
OutputIterator join (InputIterator1 pgn_begin1, InputIterator1 pgn_end1, InputIterator2 pgn_begin2, InputIterator2 pgn_end2, OutputIterator oi)
 
Oriented_side oriented_side (const Polygon_2< Kernel, Container > &p1, const Polygon_2< Kernel, Container > &p2)
 
Oriented_side oriented_side (const Polygon_2< Kernel, Container > &p1, const Polygon_with_holes_2< Kernel, Container > &p2)
 
Oriented_side oriented_side (const Polygon_with_holes_2< Kernel, Container > &p1, const Polygon_2< Kernel, Container > &p2)
 
Oriented_side oriented_side (const Polygon_with_holes_2< Kernel, Container > &p1, const Polygon_with_holes_2< Kernel, Container > &p2)
 
Oriented_side oriented_side (const General_polygon_2< Traits > &p1, const General_polygon_2< Traits > &p2)
 
Oriented_side oriented_side (const General_polygon_2< Traits > &p1, const General_polygon_with_holes_2< General_polygon_2< Traits > > &p2)
 
Oriented_side oriented_side (const General_polygon_with_holes_2< General_polygon_2< Traits > > &p1, const General_polygon_2< Traits > &p2)
 
Oriented_side oriented_side (const General_polygon_with_holes_2< Polygon > &p1, const General_polygon_with_holes_2< Polygon > &p2)
 
OutputIterator symmetric_difference (const Type1 &p1, const Type2 &p2, OutputIterator oi)
 
OutputIterator symmetric_difference (const Polygon_2< Kernel, Container > &p1, const Polygon_2< Kernel, Container > &p2, OutputIterator oi)
 
OutputIterator symmetric_difference (const Polygon_2< Kernel, Container > &p1, const Polygon_with_holes_2< Kernel, Container > &p2, OutputIterator oi)
 
OutputIterator symmetric_difference (const Polygon_with_holes_2< Kernel, Container > &p1, const Polygon_2< Kernel, Container > &p2, OutputIterator oi)
 
OutputIterator symmetric_difference (const Polygon_with_holes_2< Kernel, Container > &p1, const Polygon_with_holes_2< Kernel, Container > &p2, OutputIterator oi)
 
OutputIterator symmetric_difference (const General_polygon_2< Traits > &p1, const General_polygon_2< Traits > &p2, OutputIterator oi)
 
OutputIterator symmetric_difference (const General_polygon_with_holes_2< General_polygon_2< Traits > > &p1, const General_polygon_2< Traits > &p2, OutputIterator oi)
 
OutputIterator symmetric_difference (const General_polygon_2< Traits > &p1, const General_polygon_with_holes_2< General_polygon_2< Traits > > &p2, OutputIterator oi)
 
OutputIterator symmetric_difference (const General_polygon_with_holes_2< Polygon > &p1, const General_polygon_with_holes_2< Polygon > &p2, OutputIterator oi)
 
OutputIterator symmetric_difference (InputIterator begin, InputIterator end, OutputIterator oi)
 
OutputIterator symmetric_difference (InputIterator1 pgn_begin1, InputIterator1 pgn_end1, InputIterator2 pgn_begin2, InputIterator2 pgn_end2, OutputIterator oi)
 
OutputIterator connect_holes (const Polygon_with_holes_2< Kernel, Container > &pwh, OutputIterator oi)
 
bool is_finite (double x)
 
bool is_finite (float x)
 
bool is_finite (long double x)
 
OutputIterator compute_roots_of_2 (const RT &a, const RT &b, const RT &c, OutputIterator oit)
 
Root_of_traits< RT >::Root_of_2 make_root_of_2 (const RT &a, const RT &b, const RT &c, bool s)
 
Root_of_traits< RT >::Root_of_2 make_root_of_2 (RT alpha, RT beta, RT gamma)
 
Root_of_traits< RT >::Root_of_2 make_sqrt (const RT &x)
 
Rational simplest_rational_in_interval (double d1, double d2)
 
Rational to_rational (double d)
 
bool is_valid (const T &x)
 
T max (const T &x, const T &y)
 
T min (const T &x, const T &y)
 
void draw (const T2 &at2)
 
template<class Kernel , class Container , class OutputIterator >
OutputIterator approximated_inset_2 (const Polygon_2< Kernel, Container > &pgn, const typename Kernel::FT &r, const double &eps, OutputIterator oi)
 Provides a guaranteed approximation of the inset, or inner offset, of the given polygon P by a given radius r. More...
 
template<class Kernel , class Container >
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)
 Provides a guaranteed approximation of the offset of the given polygon P by a given radius r - namely, the function computes the Minkowski sum \( P \oplus B_r\), where \( B_r\) is a disc of radius r centered at the origin. More...
 
template<class Kernel , class Container >
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)
 Provides a guaranteed approximation of offset the given polygon with holes pwh by a given radius r, such that the approximation error is bounded by eps. More...
 
template<class Kernel , class Container , class DecompositionStrategy >
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)
 Provides a guaranteed approximation of the offset of the given polygon P by a radius r, as described above. More...
 
template<typename Kernel , typename Container >
Polygon_with_holes_2< Kernel, Container > minkowski_sum_2 (const PolygonType1< Kernel, Container > &P, const PolygonType2< Kernel, Container > &Q)
 Computes the Minkowski sum \( P \oplus Q\) of two given polygons (which may have holes). More...
 
template<typename Kernel , typename Container >
Polygon_with_holes_2< Kernel, Container > minkowski_sum_by_reduced_convolution_2 (const PolygonType1< Kernel, Container > &P, const PolygonType2< Kernel, Container > &Q)
 Computes the Minkowski sum \( P \oplus Q\) of the two given polygons. More...
 
template<typename Kernel , typename Container >
Polygon_with_holes_2< Kernel, Container > minkowski_sum_by_full_convolution_2 (const Polygon_2< Kernel, Container > &P, const Polygon_2< Kernel, Container > &Q)
 Computes the Minkowski sum \( P \oplus Q\) of the two given polygons. More...
 
template<typename Kernel , typename Container , typename PolygonConvexDecompositionP_2_ , typename PolygonConvexDecompositionQ_2_ >
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 >())
 Computes the Minkowski sum \( P \oplus Q\) of the two given polygons. More...
 
template<typename Kernel , typename Container , typename PolygonConvexDecomposition_2_ >
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 >())
 Computes the Minkowski sum \( P \oplus Q\) of the two given polygons. More...
 
template<typename Kernel , typename Container , typename PolygonNoHolesConvexDecomposition_2_ , typename PolygonWithHolesConvexDecomposition_2_ >
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 >())
 Computes the Minkowski sum \( P \oplus Q\) of the two given polygons using the decomposition strategy. More...
 
template<class ConicTraits , class Container , class OutputIterator >
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)
 Computes the inset, or inner offset, of the given polygon P by a given radius r - namely, the function computes the set of points inside the polygon whose distance from \( P\)'s boundary is at least \( r\): \( \{ p \in P \;|\; {\rm dist}(p, \partial P) \geq r \}\). More...
 
template<class ConicTraits , class Container >
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)
 Computes the offset of the given polygon P by a given radius r - namely, the function computes the Minkowski sum \( P \oplus B_r\), where \( B_r\) is a disc of radius r centered at the origin. More...
 
template<class ConicTraits , class Container >
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)
 Computes the offset of the given polygon with holes pwh by a given radius r. More...
 
template<class ConicTraits , class Container , class DecompositionStrategy >
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)
 Computes the exact representation of the offset of the given polygon P by a radius r, as described above. More...
 

Variables

 OBTUSE
 
 RIGHT
 
 ACUTE
 
 ON_UNBOUNDED_SIDE
 
 ON_BOUNDARY
 
 ON_BOUNDED_SIDE
 
 SMALLER
 
 EQUAL
 
 LARGER
 
 NEGATIVE
 
 ZERO
 
 POSITIVE
 
 ON_NEGATIVE_SIDE
 
 ON_ORIENTED_BOUNDARY
 
 ON_POSITIVE_SIDE
 
 LEFT_BOUNDARY
 
 RIGHT_BOUNDARY
 
 BOTTOM_BOUNDARY
 
 TOP_BOUNDARY
 
 INTERIOR
 
 EXTERIOR
 
const CGAL::Orientation CLOCKWISE
 
const CGAL::Orientation COUNTERCLOCKWISE
 
const CGAL::Orientation COLLINEAR
 
const CGAL::Orientation LEFT_TURN
 
const CGAL::Orientation RIGHT_TURN
 
const CGAL::Orientation COPLANAR
 
const CGAL::Orientation DEGENERATE
 
const CGAL::Null_vector NULL_VECTOR
 
const CGAL::Origin ORIGIN
 
 ABORT
 
 EXIT
 
 EXIT_WITH_SUCCESS
 
 CONTINUE
 
 THROW_EXCEPTION
 
 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