## CGAL::Partition_traits_2<R>

### Definition

Traits class that can be used with all the 2-dimensional polygon partitioning algorithms. It is parameterized by a representation class R.

#include <CGAL/Partition_traits_2.h>

### Is Model for the Concept

ConvexPartitionIsValidTraits_2
IsYMonotoneTraits_2
OptimalConvexPartitionTraits_2
PartitionTraits_2
YMonotonePartitionIsValidTraits_2
YMonotonePartitionTraits_2

### 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<R> traits;

Partition_traits_2<R> traits ( 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 | traits.pred_object_type_object ()
|  | Returns an instance of Pred_object_type.

### 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