CGAL 5.5 - 2D Regularized Boolean Set-Operations
ArrDirectionalTraits::Intersect_2 Concept Reference

## Definition

Refines:
AdaptableBinaryFunction
Has Models:
ArrangementDirectionalXMonotoneTraits_2::Intersect_2

## Operations

A model of this concept must provide:

OutputIterator operator() (ArrDirectionalTraits::X_monotone_curve_2 xc1, ArrDirectionalTraits::X_monotone_curve_2 xc2, Output_iterator &oi)
computes the intersections of xc1 and xc2 and inserts them in an ascending lexicographic $$xy$$-order into a range beginning at oi. More...

## ◆ operator()()

 OutputIterator ArrDirectionalTraits::Intersect_2::operator() ( ArrDirectionalTraits::X_monotone_curve_2 xc1, ArrDirectionalTraits::X_monotone_curve_2 xc2, Output_iterator & oi )

computes the intersections of xc1 and xc2 and inserts them in an ascending lexicographic $$xy$$-order into a range beginning at oi.

The type OutputIterator dereferences a boost::variant of either the type pair<ArrDirectionalTraits::Point_2, ArrDirectionalTraits::Multiplicity> or the type ArrDirectionalTraits::X_monotone_curve_2. An object of the former type represents an intersection point with its multiplicity (in case the multiplicity is undefined or unknown, it is set to $$0$$). An object of the latter type representing an overlapping subcurve of xc1 and xc2. The overlapping subcurves are given the direction of xc1 and xc2 if their directions are identical. Otherwise, the overlapping subcurves are given an arbitrary direction. The operator returns a past-the-end iterator of the destination range.