\( \newcommand{\E}{\mathrm{E}} \) \( \newcommand{\A}{\mathrm{A}} \) \( \newcommand{\R}{\mathrm{R}} \) \( \newcommand{\N}{\mathrm{N}} \) \( \newcommand{\Q}{\mathrm{Q}} \) \( \newcommand{\Z}{\mathrm{Z}} \) \( \def\ccSum #1#2#3{ \sum_{#1}^{#2}{#3} } \def\ccProd #1#2#3{ \sum_{#1}^{#2}{#3} }\)
CGAL 4.7 - 2D Arrangements
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ArrTraits::Intersect_2 Concept Reference
2D Arrangement Reference » Concepts » Function Object Concepts

Definition

Refines:
Functor
Has Models:
ArrangementXMonotoneTraits_2::Intersect_2

Operations

A model of this concept must provide:

Output_iterator operator() (ArrTraits::X_monotone_curve_2 xc1, ArrTraits::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 the output iterator oi. More...
 

Member Function Documentation

Output_iterator ArrTraits::Intersect_2::operator() ( ArrTraits::X_monotone_curve_2  xc1,
ArrTraits::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 the output iterator oi.

The value-type of Output_iterator is CGAL::Object, where each Object wraps either a pair<ArrTraits::Point_2,ArrTraits::Multiplicity> object, which represents an intersection point with its multiplicity (in case the multiplicity is undefined or unknown, it should be set to \( 0\)) or an ArrTraits::X_monotone_curve_2 object, representing an overlapping subcurve of xc1 and xc2. The operator returns a past-the-end iterator for the output sequence.