CGAL::Arr_curve_data_traits_2< Tr, XData, Mrg, CData, Cnv > Class Template Reference

#include <CGAL/Arr_curve_data_traits_2.h>

Inherits from

Tr.

Definition

template<typename Tr, typename XData, typename Mrg, typename CData, typename Cnv>
class CGAL::Arr_curve_data_traits_2< Tr, XData, Mrg, CData, Cnv >

The class Arr_curve_data_traits_2 is a model of the ArrangementTraits_2 concept and serves as a decorator class that allows the extension of the curves defined by the base traits-class (the Tr parameter), which serves as a geometric traits-class (a model of the ArrangementTraits_2 concept), with extraneous (non-geometric) data fields.

The traits class inherits its point type from Traits::Point_2, and defines an extended Curve_2 and X_monotone_curve_2 types, as detailed below.

Each Curve_2 object is associated with a single data field of type CData, and each X_monotone_curve_2 object is associated with a single data field of type XData. When a curve is subdivided into \( x\)-monotone subcurves, its data field is converted using the conversion functor, which is specified by the Cnv template-parameter, and the resulting objects is copied to all X_monotone_curve_2 objects induced by this curve. The conversion functor should provide an operator with the following prototype:

XData operator() (const CData& d) const;

By default, the two data types are the same, so the conversion operator is trivial:

CData =	XData
Cnv =	_Default_convert_functor<CData,XData>

In case two (or more) \( x\)-monotone curves overlap, their data fields are merged to a single field, using the merge functor functor, which is specified by the Mrg template-parameter. This functor should provide an operator with the following prototype:

XData operator() (const XData& d1, const XData& d2) const;

which returns a single data object that represents the merged data field of d1 and d2. The \( x\)-monotone curve that represents the overlap is associated with the output of this functor.

Is model of

ArrangementTraits_2

Examples

Arrangement_on_surface_2/dual_with_data.cpp, and Arrangement_on_surface_2/generic_curve_data.cpp.

Classes
class	Curve_2
	The Curve_2 class nested within the curve-data traits extends the Base_traits_2::Curve_2 type with an extra data field of type Data. More...
class	X_monotone_curve_2
	The X_monotone_curve_2 class nested within the curve-data traits extends the Base_traits_2::X_monotone_curve_2 type with an extra data field. More...

Types
typedef Tr	Base_traits_2
	the base traits-class.
typedef Base_traits_2::Curve_2	Base_curve_2
	the base curve.
typedef Base_traits_2::X_monotone_curve_2	Base_x_monotone_curve_2
	the base \( x\)-monotone curve curve.
typedef Base_traits_2::Point_2	Point_2
	the point type.
typedef Mrg	Merge
	the merge functor.
typedef Cnv	Convert
	the conversion functor.
typedef CData	Curve_data
	the type of data associated with curves.
typedef XData	X_monotone_curve_data
	the type of data associated with \( x\)-monotone curves.