CGAL 4.7 - 2D Polygon Partitioning: YMonotonePartitionTraits_2 Concept Reference

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CGAL 4.7 - 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`.
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 \( q\).
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.

## 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 ()