\( \newcommand{\E}{\mathrm{E}} \) \( \newcommand{\A}{\mathrm{A}} \) \( \newcommand{\R}{\mathrm{R}} \) \( \newcommand{\N}{\mathrm{N}} \) \( \newcommand{\Q}{\mathrm{Q}} \) \( \newcommand{\Z}{\mathrm{Z}} \) \( \def\ccSum #1#2#3{ \sum_{#1}^{#2}{#3} } \def\ccProd #1#2#3{ \sum_{#1}^{#2}{#3} }\)
CGAL 4.7 - 2D Polygon Partitioning
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CGAL::Partition_traits_2< R > Class Template Reference
2D Polygon Partitioning Reference

#include <CGAL/Partition_traits_2.h>

Definition

Traits class that can be used with all the 2-dimensional polygon partitioning algorithms.

It is parameterized by a representation class R.

Is Model Of:

ConvexPartitionIsValidTraits_2

IsYMonotoneTraits_2

OptimalConvexPartitionTraits_2

PartitionTraits_2

YMonotonePartitionIsValidTraits_2

YMonotonePartitionTraits_2

See also
CGAL::approx_convex_partition_2()
CGAL::convex_partition_is_valid_2()
CGAL::greene_approx_convex_partition_2()
CGAL::optimal_convex_partition_2()
CGAL::partition_is_valid_2()
CGAL::Partition_is_valid_traits_2<Traits, PolygonIsValid>
CGAL::y_monotone_partition_2()
CGAL::y_monotone_partition_is_valid_2()
Examples:
Partition_2/approx_convex_partition_2.cpp, Partition_2/greene_approx_convex_partition_2.cpp, Partition_2/optimal_convex_partition_2.cpp, and Partition_2/y_monotone_partition_2.cpp.

Types

typedef R::Line_2 Line_2
 
typedef R::Segment_2 Segment_2
 
typedef R::Ray_2 Ray_2
 
typedef R::Less_yx_2 Less_yx_2
 
typedef R::Less_xy_2 Less_xy_2
 
typedef R::Left_turn_2 Left_turn_2
 
typedef R::Orientation_2 Orientation_2
 
typedef R::Compare_y_2 Compare_y_2
 
typedef R::Compare_x_2 Compare_x_2
 
typedef R::Construct_line_2 Construct_line_2
 
typedef R::Construct_ray_2 Construct_ray_2
 
typedef R::Construct_segment_2 Construct_segment_2
 
typedef
R::Collinear_are_ordered_along_line_2 		Collinear_are_ordered_along_line_2
 
typedef
R::Are_strictly_ordered_along_line_2 		Are_strictly_ordered_along_line_2
 
typedef CGAL::Polygon_traits_2< R > Poly_Traits
 
typedef Poly_Traits::Point_2 Point_2
 
typedef std::list< Point_2 > Container
 
typedef CGAL::Polygon_2
< Poly_Traits, Container > 		Polygon_2
 
typedef R::Less_xy_2 Less_xy
 
typedef Poly_Traits::Vector_2 Vector_2
 
typedef R::FT FT
 
typedef Partition_traits_2< R > Self
 
typedef CGAL::Is_convex_2< Self > Is_convex_2
 
typedef CGAL::Is_y_monotone_2
< Self > 		Is_y_monotone_2
 

Creation

A default constructor and copy constructor are defined.

 Partition_traits_2 ()
 
 Partition_traits_2 (Partition_traits_2 &tr)
 

Operations

For each predicate object type Pred_object_type listed above (i.e., Less_yx_2, Less_xy_2, Left_turn_2, Orientation_2, Compare_y_2, Compare_x_2, Construct_line_2, Construct_ray_2, Construct_segment_2, Collinear_are_ordered_along_line_2, Are_strictly_ordered_along_line_2, Is_convex_2, Is_y_monotone_2) there is a corresponding function of the following form defined:

Pred_object_type pred_object_type_object ()
 Returns an instance of Pred_object_type. More...
 

Member Typedef Documentation

template<typename R >
typedef R::Are_strictly_ordered_along_line_2 CGAL::Partition_traits_2< R >::Are_strictly_ordered_along_line_2
template<typename R >
typedef R::Collinear_are_ordered_along_line_2 CGAL::Partition_traits_2< R >::Collinear_are_ordered_along_line_2
template<typename R >
typedef R::Compare_x_2 CGAL::Partition_traits_2< R >::Compare_x_2
template<typename R >
typedef R::Compare_y_2 CGAL::Partition_traits_2< R >::Compare_y_2
template<typename R >
typedef R::Construct_line_2 CGAL::Partition_traits_2< R >::Construct_line_2
template<typename R >
typedef R::Construct_ray_2 CGAL::Partition_traits_2< R >::Construct_ray_2
template<typename R >
typedef R::Construct_segment_2 CGAL::Partition_traits_2< R >::Construct_segment_2
template<typename R >
typedef std::list<Point_2> CGAL::Partition_traits_2< R >::Container
template<typename R >
typedef R::FT CGAL::Partition_traits_2< R >::FT
template<typename R >
typedef CGAL::Is_convex_2<Self> CGAL::Partition_traits_2< R >::Is_convex_2
template<typename R >
typedef CGAL::Is_y_monotone_2<Self> CGAL::Partition_traits_2< R >::Is_y_monotone_2
template<typename R >
typedef R::Left_turn_2 CGAL::Partition_traits_2< R >::Left_turn_2
template<typename R >
typedef R::Less_xy_2 CGAL::Partition_traits_2< R >::Less_xy
template<typename R >
typedef R::Less_xy_2 CGAL::Partition_traits_2< R >::Less_xy_2
template<typename R >
typedef R::Less_yx_2 CGAL::Partition_traits_2< R >::Less_yx_2
template<typename R >
typedef R::Line_2 CGAL::Partition_traits_2< R >::Line_2
template<typename R >
typedef R::Orientation_2 CGAL::Partition_traits_2< R >::Orientation_2
template<typename R >
typedef Poly_Traits::Point_2 CGAL::Partition_traits_2< R >::Point_2
template<typename R >
typedef CGAL::Polygon_traits_2<R> CGAL::Partition_traits_2< R >::Poly_Traits
template<typename R >
typedef CGAL::Polygon_2<Poly_Traits, Container> CGAL::Partition_traits_2< R >::Polygon_2
template<typename R >
typedef R::Ray_2 CGAL::Partition_traits_2< R >::Ray_2
template<typename R >
typedef R::Segment_2 CGAL::Partition_traits_2< R >::Segment_2
template<typename R >
typedef Partition_traits_2<R> CGAL::Partition_traits_2< R >::Self
template<typename R >
typedef Poly_Traits::Vector_2 CGAL::Partition_traits_2< R >::Vector_2

Constructor & Destructor Documentation

template<typename R >
CGAL::Partition_traits_2< R >::Partition_traits_2 ( )
template<typename R >
CGAL::Partition_traits_2< R >::Partition_traits_2 ( Partition_traits_2< R > &  tr)

Member Function Documentation

template<typename R >
Pred_object_type CGAL::Partition_traits_2< R >::pred_object_type_object ( )

Returns an instance of Pred_object_type.