\( \newcommand{\E}{\mathrm{E}} \) \( \newcommand{\A}{\mathrm{A}} \) \( \newcommand{\R}{\mathrm{R}} \) \( \newcommand{\N}{\mathrm{N}} \) \( \newcommand{\Q}{\mathrm{Q}} \) \( \newcommand{\Z}{\mathrm{Z}} \) \( \def\ccSum #1#2#3{ \sum_{#1}^{#2}{#3} } \def\ccProd #1#2#3{ \sum_{#1}^{#2}{#3} }\)
CGAL 4.11 - 2D Circular Geometry Kernel
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CGAL Namespace Reference

Namespaces

 Scale_space_reconstruction_3
 
 Shape_detection_3
 
 Surface_mesh_parameterization
 

Classes

class  Aff_transformation_2
 
class  Aff_transformation_3
 
class  Identity_transformation
 
class  Reflection
 
class  Rotation
 
class  Scaling
 
class  Translation
 
class  Bbox_2
 
class  Bbox_3
 
class  Cartesian
 
class  Cartesian_converter
 
class  Circle_2
 
class  Circle_3
 
class  Ambient_dimension
 
class  Dimension_tag
 
class  Dynamic_dimension_tag
 
class  Feature_dimension
 
class  Direction_2
 
class  Direction_3
 
class  Exact_predicates_exact_constructions_kernel
 
class  Exact_predicates_exact_constructions_kernel_with_kth_root
 
class  Exact_predicates_exact_constructions_kernel_with_root_of
 
class  Exact_predicates_exact_constructions_kernel_with_sqrt
 
class  Exact_predicates_inexact_constructions_kernel
 
class  Filtered_kernel_adaptor
 
class  Filtered_kernel
 
class  Filtered_predicate
 
class  Homogeneous
 
class  Homogeneous_converter
 
class  Iso_cuboid_3
 
class  Iso_rectangle_2
 
class  Kernel_traits
 
class  Line_2
 
class  Line_3
 
class  Null_vector
 
class  Origin
 
class  Plane_3
 
class  Point_2
 
class  Point_3
 
class  Projection_traits_xy_3
 
class  Projection_traits_xz_3
 
class  Projection_traits_yz_3
 
class  Ray_2
 
class  Ray_3
 
class  Segment_2
 
class  Segment_3
 
class  Simple_cartesian
 
class  Simple_homogeneous
 
class  Sphere_3
 
class  Tetrahedron_3
 
class  Triangle_2
 
class  Triangle_3
 
class  Vector_2
 
class  Vector_3
 
class  Weighted_point_2
 
class  Weighted_point_3
 
class  Protect_FPU_rounding
 
class  Set_ieee_double_precision
 
class  Gmpfi
 
class  Gmpfr
 
class  Gmpq
 
class  Gmpz
 
class  Gmpzf
 
class  Interval_nt
 
class  Lazy_exact_nt
 
class  MP_Float
 
class  Mpzf
 
class  NT_converter
 
class  Number_type_checker
 
class  Quotient
 
class  Rational_traits
 
class  Root_of_traits
 
class  Sqrt_extension
 
class  Is_valid
 
class  Max
 
class  Min
 
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_face_overlay_traits
 
class  Arr_extended_dcel
 
class  Arr_extended_face
 
class  Arr_extended_halfedge
 
class  Arr_extended_vertex
 
class  Arr_face_extended_dcel
 
class  Arr_face_index_map
 
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
 
class  Arr_observer
 
class  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_oblivious_side_tag
 
class  Arr_open_side_tag
 
class  Arr_trapezoid_ric_point_location
 
class  Arr_vertex_index_map
 
class  Arr_walk_along_line_point_location
 
class  Arrangement_2
 
class  Arrangement_with_history_2
 
class  Arr_extended_dcel_text_formatter
 
class  Arr_face_extended_text_formatter
 
class  Arr_text_formatter
 
class  Arr_with_history_text_formatter
 
class  Algebraic_kernel_for_circles_2_2
 
class  Circular_arc_2
 
class  Circular_arc_point_2
 
class  Circular_kernel_2
 
class  Exact_circular_kernel_2
 A typedef to a circular kernel that provides both exact geometric predicates and exact geometric constructions. More...
 
class  Line_arc_2
 
class  Polynomial_1_2
 
class  Polynomial_for_circles_2_2
 
class  Root_for_circles_2_2
 

Functions

bool has_in_x_range (const Circular_arc_2< CircularKernel > &ca, const Circular_arc_point_2< CircularKernel > &p)
 Checks whether the point lies in the vertical range defined by the arc.
 
bool has_in_x_range (const Line_arc_2< CircularKernel > &ca, const Circular_arc_point_2< CircularKernel > &p)
 Checks whether the point lies in the vertical range defined by the line segment.
 
bool has_on (const Circle_2< CircularKernel > &c, const Circular_arc_point_2< CircularKernel > &p)
 Checks whether the point lies on the circle.
 
template<class OutputIterator >
OutputIterator make_x_monotone (const Circular_arc_2< CircularKernel > &ca, OutputIterator res)
 Copies in the output iterator the x-monotone sub-arcs of ca.
 
template<class OutputIterator >
OutputIterator make_xy_monotone (const Circular_arc_2< CircularKernel > &ca, OutputIterator res)
 Copies in the output iterator the xy-monotone sub-arcs of ca.
 
Circular_arc_point_2
< CircularKernel
x_extremal_point (const Circle_2< CircularKernel > &c, bool b)
 Returns the leftmost (resp. rightmost) point of the circle if b is true (resp. false).
 
template<class OutputIterator >
OutputIterator x_extremal_points (const Circle_2< CircularKernel > &c, OutputIterator res)
 Copies in the output iterator the x-extremal points of the circle. More...
 
Circular_arc_point_2
< CircularKernel
y_extremal_point (const Circle_2< CircularKernel > &c, bool b)
 Returns the bottommost (resp. topmost) point of the circle if b is true (resp. false).
 
template<class OutputIterator >
OutputIterator y_extremal_points (const Circle_2< CircularKernel > &c, OutputIterator res)
 Copies in the output iterator the y-extremal points of the circle. More...
 
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)
 Compares vertically the two arcs, to the right of the point p,. More...