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CGAL 4.4 - 2D Polygon Partitioning
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YMonotonePartitionTraits_2 Concept Reference
Concepts

Definition

Requirements of a traits class to be used with the function y_monotone_partition_2().

Refines:
PartitionTraits_2
Has Models:
CGAL::Partition_traits_2<R>

Types

In addition to the types defined for the concept PartitionTraits_2, the following types are also required:

typedef unspecified_type Line_2
 
typedef unspecified_type Compare_x_at_y_2
 Predicate object type that provides CGAL::Comparision_result operator()(Point_2 p, Line_2 h) to compare the \( x\) coordinate of p and the horizontal projection of p on h. More...
 
typedef unspecified_type Construct_line_2
 Function object type that provides Line_2 operator()(Point_2 p, Point_2 q), which constructs and returns the line defined by the points \( p\) and \( q\). More...
 
typedef unspecified_type Is_horizontal_2
 Function object type that provides bool operator()(Line_2 l), which returns true iff the line l is horizontal. More...
 

Creation

A copy constructor and default constructor are required.

 YMonotonePartitionTraits ()
 
 YMonotonePartitionTraits (const YMonotonePartitionTraits tr)
 

Operations

In addition to the functions required for the concept PartitionTraits_2, the following functions that create instances of the above function object types must exist.

Construct_line_2 construct_line_2_object ()
 
Compare_x_at_y_2 compare_x_at_y_2_object ()
 
Is_horizontal_2 is_horizontal_2_object ()
 

Member Typedef Documentation

typedef unspecified_type YMonotonePartitionTraits_2::Compare_x_at_y_2

Predicate object type that provides CGAL::Comparision_result operator()(Point_2 p, Line_2 h) to compare the \( x\) coordinate of p and the horizontal projection of p on h.

typedef unspecified_type YMonotonePartitionTraits_2::Construct_line_2

Function object type that provides Line_2 operator()(Point_2 p, Point_2 q), which constructs and returns the line defined by the points \( p\) and \( q\).

typedef unspecified_type YMonotonePartitionTraits_2::Is_horizontal_2

Function object type that provides bool operator()(Line_2 l), which returns true iff the line l is horizontal.

typedef unspecified_type YMonotonePartitionTraits_2::Line_2

Member Function Documentation

Compare_x_at_y_2 YMonotonePartitionTraits_2::compare_x_at_y_2_object ( )
Construct_line_2 YMonotonePartitionTraits_2::construct_line_2_object ( )
Is_horizontal_2 YMonotonePartitionTraits_2::is_horizontal_2_object ( )
YMonotonePartitionTraits_2::YMonotonePartitionTraits ( )
YMonotonePartitionTraits_2::YMonotonePartitionTraits ( const YMonotonePartitionTraits  tr)