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

CGAL 4.8 - 2D Snap Rounding

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SnapRoundingTraits_2 Concept Reference
Concepts

## Definition

The concept `SnapRoundingTraits_2` lists the set of requirements that must be fulfilled by an instance of the `Traits` template-parameter of the free function CGAL::snap_rounding_2() `CGAL::snap_rounding_2<Traits,InputIterator,OutputContainer>()`. The list includes the nested types of the geometric primitives used in this class and some function object types for the required predicates on those primitives.

Refines:
  `ArrangementTraits_2`

Has Models:
  `CGAL::Snap_rounding_traits_2<Kernel>`

## Types
typedef unspecified_type | FT
| The number type. More...
typedef unspecified_type | Point_2
| Models the concept `ArrTraits::Point_2`.
typedef unspecified_type | Segment_2
| Models the concept `ArrTraits::XMonotoneCurve_2`.
typedef unspecified_type | Iso_rectangle_2
| Models the concept `SRTraits_2::IsoRectangle_2`
typedef unspecified_type | Cartesian_const_iterator_2
| Models the concept `SearchTraits::Cartesian_const_iterator_2`

## Functor Types
typedef unspecified_type | Construct_vertex_2
| Models the concept `SRTraits_2::ConstructVertex_2`.
typedef unspecified_type | Construct_segment_2
| Models the concept `SRTraits_2::ConstructSegment_2`.
typedef unspecified_type | Construct_iso_rectangle_2
| Models the concept `SRTraits_2::ConstructIsoRectangle_2`.
typedef unspecified_type | To_double
| Models the concept `RealEmbeddableTraits::ToDouble`. More...
typedef unspecified_type | Compare_x_2
| Models the concept `SRTraits_2::CompareX_2`.
typedef unspecified_type | Compare_y_2
| Models the concept `SRTraits_2::CompareY_2`.
typedef unspecified_type | Snap_2
| Models the concept `SRTraits_2::Snap_2`.
typedef unspecified_type | Integer_grid_point_2
| Models the concept `SRTraits_2::IntegerGridPoint_2`.
typedef unspecified_type | Minkowski_sum_with_pixel_2
| Models the concept `SRTraits_2::MinkowskiSumWithPixel_2`.
typedef unspecified_type | Construct_min_vertex_2
| Models the concept `ArrTraits::ConstructMinVertex_2`.
typedef unspecified_type | Construct_max_vertex_2
| Models the concept `ArrTraits::ConstructMaxVertex_2`.
typedef unspecified_type | Construct_cartesian_const_iterator_2
| Models the concept `SearchTraits::Construct_cartesian_const_iterator_2`.

## Accessing Functor Objects
Construct_vertex_2 | construct_vertex_2_object ()
Construct_segment_2 | construct_segment_2_object ()
Construct_iso_rectangle_2 | construct_iso_rectangle_2_object ()
Compare_x_2 | compare_x_2_object ()
Compare_y_2 | compare_y_2_object ()
Snap_2 | snap_2_object ()
Integer_grid_point_2 | integer_grid_point_2_object ()
Minkowski_sum_with_pixel_2 | minkowski_sum_with_pixel_2_object ()

## Member Typedef Documentation

typedef unspecified_type SnapRoundingTraits_2::FT

The number type.

This type must fulfill the requirements on `FieldNumberType`

typedef unspecified_type SnapRoundingTraits_2::To_double

Models the concept `RealEmbeddableTraits::ToDouble`.

The precision of this operation is of not high significance, as it is only used in the implementation of the heuristic technique to exploit a cluster of kd-trees rather than just one.