\( \newcommand{\E}{\mathrm{E}} \) \( \newcommand{\A}{\mathrm{A}} \) \( \newcommand{\R}{\mathrm{R}} \) \( \newcommand{\N}{\mathrm{N}} \) \( \newcommand{\Q}{\mathrm{Q}} \) \( \newcommand{\Z}{\mathrm{Z}} \) \( \def\ccSum #1#2#3{ \sum_{#1}^{#2}{#3} } \def\ccProd #1#2#3{ \sum_{#1}^{#2}{#3} }\)

CGAL 4.8 - 2D Polygon Partitioning

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YMonotonePartitionIsValidTraits_2 Concept Reference
Concepts

## Definition

Requirements of a traits class that is used by `y_monotone_partition_is_valid_2` for testing the validity of a \( y\)-monotone partition of a polygon.

Has Models:
  `CGAL::Partition_traits_2<R>`

See Also
  `CGAL::partition_is_valid_2()`
  `CGAL::y_monotone_partition_2()`

## Types
All types required by the concept `PartitionIsValidTraits_2` are required except the function object type `Is_valid`. The following type is required instead:
typedef unspecified_type | Is_y_monotone_2
| Model of the concept `PolygonIsValid` that tests if a sequence of points is \( y\)-monotone or not.

## Creation
Only a copy constructor is required.
| YMonotonePartitionIsValidTraits_2 (YMonotonePartitionIsValidTraits_2 tr)

## Operations
The following function that creates an instance of the above predicate object type must exist instead of the function `is_valid_object` required by `PartitionIsValidTraits_2`.
Is_y_monotone_2 | is_y_monotone_2_object (YMonotonePartitionIsValidTraits_2 tr)