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

CGAL 4.8 - 2D Regularized Boolean Set-Operations

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Functions
Union Functions
2D Regularized Boolean Set-Operations Reference

##

Each one of these functions computes the union of two given polygons `p1` and `p2`. If the two given polygons overlap, it returns `true`, and places the resulting polygon in `p`. Otherwise, it returns `false`.

The signature of the function is

bool join(const Type1 & p1, const Type2 & p2, General_polygon_with_holes_2 & res);

Parameters

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

Type1 | Type2
--- | ---
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::difference()`
  `CGAL::symmetric_difference()`

## Functions
template<class Kernel , class Container >
bool | CGAL::join (const Polygon_2< Kernel, Container > &p1, const Polygon_2< Kernel, Container > &p2, General_polygon_with_holes_2< Polygon_2< Kernel, Container > > &res)
| writes the union of the polygons `p1` and `p2` into the polygon with holes `res`. More...
template<class Kernel , class Container >
bool | CGAL::join (const Polygon_2< Kernel, Container > &p1, const Polygon_with_holes_2< Kernel, Container > &p2, General_polygon_with_holes_2< Polygon_2< Kernel, Container > > &res)
| writes the union of the polygons `p1` and `p2` into the polygon with holes `res`. More...
template<class Kernel , class Container >
bool | CGAL::join (const Polygon_with_holes_2< Kernel, Container > &p2, const Polygon_2< Kernel, Container > &p1, General_polygon_with_holes_2< Polygon_2< Kernel, Container > > &res)
| writes the union of the polygons `p1` and `p2` into the polygon with holes `res`. More...
template<class Kernel , class Container >
bool | CGAL::join (const Polygon_with_holes_2< Kernel, Container > &p2, const Polygon_with_holes_2< Kernel, Container > &p1, General_polygon_with_holes_2< Polygon_2< Kernel, Container > > &res)
| writes the union of the polygons `p1` and `p2` into the polygon with holes `res`. More...
template<class Traits >
bool | CGAL::join (const General_polygon_2< Traits > &p1, const General_polygon_2< Traits > &p2, General_polygon_with_holes_2< General_polygon_2< Traits > > &res)
| writes the union of the general polygons `p1` and `p2` into the polygon with holes `res`. More...
template<class Traits >
bool | CGAL::join (const General_polygon_2< Traits > &p1, const General_polygon_with_holes_2< General_polygon_2< Traits > > &p2, General_polygon_with_holes_2< General_polygon_2< Traits > > &res)
| writes the union of the polygons `p1` and `p2` into the polygon with holes `res`. More...
template<class Traits >
bool | CGAL::join (const General_polygon_with_holes_2< General_polygon_2< Traits > > &p2, const General_polygon_2< Traits > &p1, General_polygon_with_holes_2< General_polygon_2< Traits > > &res)
| writes the union of the general polygons `p1` and `p2` into the polygon with holes `res`. More...
template<class Polygon >
bool | CGAL::join (const General_polygon_with_holes_2< Polygon > &p1, const General_polygon_with_holes_2< Polygon > &p2, Traits::Polygon_with_holes_2 &res)
| writes the union of the general polygons `p1` and `p2` into the polygon with holes `res`. More...
template<class InputIterator , class OutputIterator >
OutputIterator | CGAL::join (InputIterator begin, InputIterator end, OutputIterator oi)
| computes the union of the general polygons (or general polygons with holes) in the given range. More...
template<class InputIterator1 , class InputIterator2 , class OutputIterator >
OutputIterator | CGAL::join (InputIterator1 pgn_begin1, InputIterator1 pgn_end1, InputIterator2 pgn_begin2, InputIterator2 pgn_end2, OutputIterator oi)
| computes the union of the general polygons and general polygons with holes in the given two ranges. More...

## Function Documentation

template<class Kernel , class Container >

bool CGAL::join | ( | const Polygon_2< Kernel, Container > & | p1,
|  | const Polygon_2< Kernel, Container > & | p2,
|  | General_polygon_with_holes_2< Polygon_2< Kernel, Container > > & | res
| ) |  |

writes the union of the polygons `p1` and `p2` into the polygon with holes `res`.

Returns `true` if the two given polygons overlap.

`#include <CGAL/Boolean_set_operations_2.h>`

Examples:
  Boolean_set_operations_2/set_union.cpp, and Boolean_set_operations_2/simple_join_intersect.cpp.

template<class Kernel , class Container >

bool CGAL::join | ( | const Polygon_2< Kernel, Container > & | p1,
|  | const Polygon_with_holes_2< Kernel, Container > & | p2,
|  | General_polygon_with_holes_2< Polygon_2< Kernel, Container > > & | res
| ) |  |

writes the union of the polygons `p1` and `p2` into the polygon with holes `res`.

Returns `true` if the two given polygons overlap.

`#include <CGAL/Boolean_set_operations_2.h>`

template<class Kernel , class Container >

bool CGAL::join | ( | const Polygon_with_holes_2< Kernel, Container > & | p2,
|  | const Polygon_2< Kernel, Container > & | p1,
|  | General_polygon_with_holes_2< Polygon_2< Kernel, Container > > & | res
| ) |  |

writes the union of the polygons `p1` and `p2` into the polygon with holes `res`.

Returns `true` if the two given polygons overlap.

`#include <CGAL/Boolean_set_operations_2.h>`

template<class Kernel , class Container >

bool CGAL::join | ( | const Polygon_with_holes_2< Kernel, Container > & | p2,
|  | const Polygon_with_holes_2< Kernel, Container > & | p1,
|  | General_polygon_with_holes_2< Polygon_2< Kernel, Container > > & | res
| ) |  |

writes the union of the polygons `p1` and `p2` into the polygon with holes `res`.

Returns `true` if the two given polygons overlap.

`#include <CGAL/Boolean_set_operations_2.h>`

template<class Traits >

bool CGAL::join | ( | const General_polygon_2< Traits > & | p1,
|  | const General_polygon_2< Traits > & | p2,
|  | General_polygon_with_holes_2< General_polygon_2< Traits > > & | res
| ) |  |

writes the union of the general polygons `p1` and `p2` into the polygon with holes `res`.

Returns `true` if the two given polygons overlap.

`#include <CGAL/Boolean_set_operations_2.h>`

template<class Traits >

bool CGAL::join | ( | const General_polygon_2< Traits > & | p1,
|  | const General_polygon_with_holes_2< General_polygon_2< Traits > > & | p2,
|  | General_polygon_with_holes_2< General_polygon_2< Traits > > & | res
| ) |  |

writes the union of the polygons `p1` and `p2` into the polygon with holes `res`.

Returns `true` if the two given polygons overlap.

`#include <CGAL/Boolean_set_operations_2.h>`

template<class Traits >

bool CGAL::join | ( | const General_polygon_with_holes_2< General_polygon_2< Traits > > & | p2,
|  | const General_polygon_2< Traits > & | p1,
|  | General_polygon_with_holes_2< General_polygon_2< Traits > > & | res
| ) |  |

writes the union of the general polygons `p1` and `p2` into the polygon with holes `res`.

Returns `true` if the two given polygons overlap.

`#include <CGAL/Boolean_set_operations_2.h>`

template<class Polygon >

bool CGAL::join | ( | const General_polygon_with_holes_2< Polygon > & | p1,
|  | const General_polygon_with_holes_2< Polygon > & | p2,
|  | Traits::Polygon_with_holes_2 & | res
| ) |  |

writes the union of the general polygons `p1` and `p2` into the polygon with holes `res`.

Returns `true` if the two given polygons overlap.

`#include <CGAL/Boolean_set_operations_2.h>`

template<class InputIterator , class OutputIterator >

OutputIterator CGAL::join | ( | InputIterator | begin,
|  | InputIterator | end,
|  | OutputIterator | oi
| ) |  |

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

(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 written into the 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::join | ( | InputIterator1 | pgn_begin1,
|  | InputIterator1 | pgn_end1,
|  | InputIterator2 | pgn_begin2,
|  | InputIterator2 | pgn_end2,
|  | OutputIterator | oi
| ) |  |

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

The result, represented by a set of general polygon with holes, is written into the 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>`