\( \newcommand{\E}{\mathrm{E}} \) \( \newcommand{\A}{\mathrm{A}} \) \( \newcommand{\R}{\mathrm{R}} \) \( \newcommand{\N}{\mathrm{N}} \) \( \newcommand{\Q}{\mathrm{Q}} \) \( \newcommand{\Z}{\mathrm{Z}} \) \( \def\ccSum #1#2#3{ \sum_{#1}^{#2}{#3} } \def\ccProd #1#2#3{ \sum_{#1}^{#2}{#3} }\)
CGAL 5.0 - 2D Regularized Boolean Set-Operations
Functions
Symmetric Difference Functions
2D Regularized Boolean Set-Operations Reference

Each one of these functions computes the symmetric difference between two given polygons p1 and p2, and inserts the resulting polygons with holes into an output container through the output iterator oi. The value type of the OutputIterator is either Polygon_with_holes_2 or General_polygon_with_holes_2.

The signature of the function is

OutputIterator symmetric_difference(const Type1 & p1, const Type2 & p2, OutputIterator oi);

Parameters

The types of the paramters of the symmetric_difference() function are any of the following combinations.

Arg 1 typeArg 2 type
Polygon_2Polygon_2
Polygon_2Polygon_with_holes_2
Polygon_with_holes_2Polygon_2
Polygon_with_holes_2Polygon_with_holes_2
General_polygon_2General_polygon_2
General_polygon_2General_polygon_with_holes_2
General_polygon_with_holes_2General_polygon_2
General_polygon_with_holes_2General_polygon_with_holes_2
See also
CGAL::do_intersect()
CGAL::intersection()
CGAL::join()
CGAL::difference()

Functions

OutputIterator CGAL::symmetric_difference (const Type1 &p1, const Type2 &p2, OutputIterator oi)
 
template<class Kernel , class Container , class OutputIterator >
OutputIterator CGAL::symmetric_difference (const Polygon_2< Kernel, Container > &p1, const Polygon_2< Kernel, Container > &p2, OutputIterator oi)
 
template<class Kernel , class Container , class OutputIterator >
OutputIterator CGAL::symmetric_difference (const Polygon_2< Kernel, Container > &p1, const Polygon_with_holes_2< Kernel, Container > &p2, OutputIterator oi)
 
template<class Kernel , class Container , class OutputIterator >
OutputIterator CGAL::symmetric_difference (const Polygon_with_holes_2< Kernel, Container > &p1, const Polygon_2< Kernel, Container > &p2, OutputIterator oi)
 
template<class Kernel , class Container , class OutputIterator >
OutputIterator CGAL::symmetric_difference (const Polygon_with_holes_2< Kernel, Container > &p1, const Polygon_with_holes_2< Kernel, Container > &p2, OutputIterator oi)
 
template<class Traits , class OutputIterator >
OutputIterator CGAL::symmetric_difference (const General_polygon_2< Traits > &p1, const General_polygon_2< Traits > &p2, OutputIterator oi)
 
template<class Traits , class OutputIterator >
OutputIterator CGAL::symmetric_difference (const General_polygon_with_holes_2< General_polygon_2< Traits > > &p1, const General_polygon_2< Traits > &p2, OutputIterator oi)
 
template<class Traits , class OutputIterator >
OutputIterator CGAL::symmetric_difference (const General_polygon_2< Traits > &p1, const General_polygon_with_holes_2< General_polygon_2< Traits > > &p2, OutputIterator oi)
 
template<class Polygon , class OutputIterator >
OutputIterator CGAL::symmetric_difference (const General_polygon_with_holes_2< Polygon > &p1, const General_polygon_with_holes_2< Polygon > &p2, OutputIterator oi)
 
template<class InputIterator , class OutputIterator >
OutputIterator CGAL::symmetric_difference (InputIterator begin, InputIterator end, OutputIterator oi)
 computes the symmetric difference of the general polygons (or general polygons with holes) in the given range. More...
 
template<class InputIterator1 , class InputIterator2 , class OutputIterator >
OutputIterator CGAL::symmetric_difference (InputIterator1 pgn_begin1, InputIterator1 pgn_end1, InputIterator2 pgn_begin2, InputIterator2 pgn_end2, OutputIterator oi)
 computes the symmetric difference of the general polygons and general polygons with holes in the given two ranges. More...
 

Function Documentation

◆ symmetric_difference() [1/2]

template<class InputIterator , class OutputIterator >
OutputIterator CGAL::symmetric_difference ( InputIterator  begin,
InputIterator  end,
OutputIterator  oi 
)

#include <CGAL/Boolean_set_operations_2.h>

computes the symmetric difference of the general polygons (or general polygons with holes) in the given range.

A point is contained in the symmetric difference, if and only if it is contained in an odd number of input polygons. (The value type of the input iterator is used to distinguish between the two.) The result, represented by a set of general polygon with holes, is inserted into an output container through a given output iterator oi. The output iterator is returned. The value type of the OutputIterator is Traits::Polygon_with_holes_2.

◆ symmetric_difference() [2/2]

template<class InputIterator1 , class InputIterator2 , class OutputIterator >
OutputIterator CGAL::symmetric_difference ( InputIterator1  pgn_begin1,
InputIterator1  pgn_end1,
InputIterator2  pgn_begin2,
InputIterator2  pgn_end2,
OutputIterator  oi 
)

#include <CGAL/Boolean_set_operations_2.h>

computes the symmetric difference of the general polygons and general polygons with holes in the given two ranges.

A point is contained in the symmetric difference, if and only if it is contained in an odd number of input polygons. The result, represented by a set of general polygon with holes, is inserted into an output container through a given output iterator oi. The output iterator is returned. The value type of the OutputIterator is Traits::Polygon_with_holes_2.