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

CGAL 4.8 - 2D Regularized Boolean Set-Operations

All Classes Namespaces Files Functions Variables Typedefs Enumerations Enumerator Groups Pages
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 type | Arg 2 type
--- | ---
Polygon_2 | Polygon_2
Polygon_2 | Polygon_with_holes_2
Polygon_with_holes_2 | Polygon_2
Polygon_with_holes_2 | Polygon_with_holes_2
General_polygon_2 | General_polygon_2
General_polygon_2 | General_polygon_with_holes_2
General_polygon_with_holes_2 | General_polygon_2
General_polygon_with_holes_2 | General_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

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.

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`.

`#include <CGAL/Boolean_set_operations_2.h>`

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.

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`.

`#include <CGAL/Boolean_set_operations_2.h>`