CGAL 5.4.4  2D Regularized Boolean SetOperations

#include <CGAL/Polygon_set_2.h>
CGAL::General_polygon_set_2< Gps_segment_traits_2< Kernel, Container > >.
The class Polygon_set_2
represents sets of linear polygons with holes.
The first two template parameters (Kernel
and Container
) are used to instantiate the type Polygon_2<Kernel,Container>
. This type is used to represent the outer boundary of every set member and the boundaries of all holes of every set member.
The third template parameter Dcel
must be instantiated with a model of the concept GeneralPolygonSetDcel
. It is instantiated by default with the type Gps_default_dcel<Traits>
. You can override this default, with a different DCEL class, typically an extension of the Gps_default_dcel
class template. Overriding the default is necessary only if you intend to obtain the underlying internal arrangement and process it further.
Additional Inherited Members  
Public Types inherited from CGAL::General_polygon_set_2< Gps_segment_traits_2< Kernel, Container > >  
typedef unspecified_type  Traits_2 
the traits class in use.  
typedef unspecified_type  Polygon_2 
the general polygon type. More...  
typedef unspecified_type  Polygon_with_holes_2 
the general polygon with holes type. More...  
typedef unspecified_type  Size 
number of polygons with holes size type.  
typedef unspecified_type  Arrangement_2 
the arrangement type used internally.  
Public Member Functions inherited from CGAL::General_polygon_set_2< Gps_segment_traits_2< Kernel, Container > >  
General_polygon_set_2 ()  
default constructor; constructs an empty set of polygons gps represented by an empty arrangement.  
General_polygon_set_2 (const Self &other)  
copy constructor.  
General_polygon_set_2 (const Gps_segment_traits_2< Kernel, Container > &traits)  
constructs an empty set of polygons that uses the given traits object for performing the geometric operations.  
General_polygon_set_2 (const Polygon_2 &pgn)  
constructs a set of polygons that consists of the single polygon pgn .  
General_polygon_set_2 (const Polygon_with_holes_2 &pgn_with_holes)  
constructs a set of polygons that consists of the single polygon with holes pgn_with_holes .  
General_polygon_set_2 (const Polygon_2 &pgn, const Gps_segment_traits_2< Kernel, Container > &traits)  
constructs a set of polygons that uses the given traits object and consists of the single polygon pgn .  
General_polygon_set_2 (const Polygon_with_holes_2 &pgn_with_holes, const Gps_segment_traits_2< Kernel, Container > &traits)  
constructs a set of polygons that uses the given traits object and consists of the single polygon with holes pgn_with_holes .  
OutputIterator  polygons_with_holes (OutputIterator out) 
obtains the polygons with holes represented by gps .  
Size  number_of_polygons_with_holes () const 
returns the total number of general polygons represented by gps .  
bool  is_empty () const 
returns true if gps represents an empty set.  
bool  is_plane () const 
returns true if gps represents the entire plane.  
Gps_segment_traits_2< Kernel, Container > &  traits () const 
obtains an instance of the traits. More...  
const Arrangement_2 &  arrangement () const 
obtains the arrangement data structure that internally represents the generalpolygon set.  
void  clear () 
clears gps .  
void  insert (Polygon_2 &pgn) 
inserts pgn into gps . More...  
void  insert (Polygon_with_holes_2 &pgn_with_holes) 
inserts pgn_with_holes into gps . More...  
void  insert (InputIterator begin, InputIterator end) 
inserts the range of polygons (or polygons with holes) into gps . More...  
void  insert (InputIterator1 pgn_begin, InputIterator1 pgn_end, InputIterator2 pgn_with_holes_begin, InputIterator2 pgn_with_holes_end) 
inserts the two ranges of polygons and polygons with holes into gps . More...  
void  complement () 
computes the complement of gps .  
void  complement (const Polygon_set_2 &other) 
computes the complement of other . More...  
void  intersection (const General_polygon_set_2 &other) 
computes the intersection of gps and other .  
void  intersection (const Polygon_2 &pgn) 
computes the intersection of gps and pgn .  
void  intersection (const Polygon_with_holes_2 &pgn) 
computes the intersection of gps and pgn .  
void  intersection (InputIterator begin, InputIterator end) 
computes the intersection of a collection of point sets. More...  
void  intersection (InputIterator1 pgn_begin, InputIterator1 pgn_end, InputIterator2 pgn_with_holes_begin, InputIterator2 pgn_with_holes_end) 
computes the intersection of a collection of point sets. More...  
void  join (const General_polygon_set_2 &other) 
computes the union of gps and other .  
void  join (const Polygon_2 &pgn) 
computes the union of gps and pgn .  
void  join (const Polygon_with_holes_2 &pgn) 
computes the union of gps and pgn .  
void  join (InputIterator begin, InputIterator end) 
computes the union of the polygons (or polygons with holes) in the given range and the point set represented by gps . More...  
void  join (InputIterator1 pgn_begin, InputIterator1 pgn_end, InputIterator2 pgn_with_holes_begin, InputIterator2 pgn_with_holes_end) 
computes the union of the polygons and polygons with holes in the given two ranges and the point set represented by gps .  
void  difference (const General_polygon_set_2 &other) 
computes the difference between gps and other .  
void  difference (const Polygon_2 &pgn) 
computes the difference between gps and pgn .  
void  difference (const Polygon_with_holes_2 &pgn) 
computes the difference between gps and pgn .  
void  symmetric_difference (const General_polygon_set_2 &other) 
computes the symmetric difference between gps and other .  
void  symmetric_difference (const Polygon_2 &pgn) 
computes the symmetric difference between gps and pgn .  
void  symmetric_difference (const Polygon_with_holes_2 &pgn) 
computes the symmetric difference between gps and pgn .  
void  symmetric_difference (InputIterator begin, InputIterator end) 
computes the symmetric difference (xor) of a collection of point sets. More...  
void  symmetric_difference (InputIterator1 pgn_begin, InputIterator1 pgn_end, InputIterator2 pgn_with_holes_begin, InputIterator2 pgn_with_holes_end) 
computes the symmetric difference (xor) of a collection of point sets. More...  
void  intersection (const General_polygon_set_2 &gps1, const General_polygon_set_2 &gps2) 
computes the intersection of gps1 and gps2 .  
void  join (const General_polygon_set_2 &gps1, const General_polygon_set_2 &gps2) 
computes the union of gps1 and gps2 .  
void  difference (const General_polygon_set_2 &gps1, const General_polygon_set_2 &gps2) 
computes the difference between gps1 and gps2 .  
void  symmetric_difference (const General_polygon_set_2 &gps1, const General_polygon_set_2 &gps2) 
computes the symmetric difference between gps1 and gps2 .  
bool  do_intersect (const General_polygon_set_2 &other) 
returns true if gps and other intersect in their interior, and false otherwise.  
bool  do_intersect (const Polygon_2 &pgn) 
returns true if gps and pgn intersect in their interior, and false otherwise.  
bool  do_intersect (const Polygon_with_holes_2 &pgn) 
returns true if gps and pgn intersect in their interior, and false otherwise.  
void  do_intersect (InputIterator begin, InputIterator end) 
returns true if the interior of the point sets in a collection intersect, and false otherwise. More...  
void  do_intersect (InputIterator1 pgn_begin, InputIterator1 pgn_end, InputIterator2 pgn_with_holes_begin, InputIterator2 pgn_with_holes_end) 
returns true if the interior of the point sets in a collection intersect, and false otherwise. More...  
bool  locate (const Point_2 &p, Polygon_with_holes_2 &pgn) 
obtains a polygon with holes that contains the query point p , if exists, through pgn , and returns true . More...  
Oriented_side  oriented_side (const Point_2 &q) 
returns either the constant ON_ORIENTED_BOUNDARY , ON_POSITIVE_SIDE , or ON_NEGATIVE_SIDE , iff p lies on the boundary, properly on the positive side, or properly on the negative side of gps respectively.  
Oriented_side  oriented_side (const General_polygon_set_2 &other) 
returns either the constant ON_NEGATIVE_SIDE , ON_ORIENTED_BOUNDARY , or ON_POSITIVE_SIDE , iff other and gps are completely disjoint, in contact, or intersect in their interior, respectively.  
Oriented_side  oriented_side (const Polygon_2 &pgn) 
returns either the constant ON_NEGATIVE_SIDE , ON_ORIENTED_BOUNDARY , or ON_POSITIVE_SIDE , iff pgn and gps are completely disjoint, in contact, or intersect in their interior, respectively.  
Oriented_side  oriented_side (const Polygon_with_holes_2 &pgn) 
returns either the constant ON_NEGATIVE_SIDE , ON_ORIENTED_BOUNDARY , or ON_POSITIVE_SIDE , iff pgn and gps are completely disjoint, in contact, or intersect in their interior, respectively.  
bool  is_valid () const 
returns true if gps represents a valid point set.  