CGAL 5.3  2D Arrangements

#include <CGAL/Arr_algebraic_segment_traits_2.h>
Object Creation Functors  
template<class OutputIterator >  
OutputIterator  operator() (Curve_2 cv, Point_2 end_min, Point_2 end_max, OutputIterator out) 
Writes a sequence of X_monotone_curve_2 objects (terminal segments) into out . More...  
template<class OutputIterator >  
OutputIterator  operator() (Curve_2 cv, Point_2 p, Site_of_point site_of_p, OutputIterator out) 
Writes a sequence of X_monotone_curve_2 objects into out . More...  
template<class OutputIterator >  
OutputIterator  operator() (Point_2 p, Point_2 q, OutputIterator out) 
Writes a sequence of X_monotone_curve_2 objects into out . More...  
OutputIterator CGAL::Arr_algebraic_segment_traits_2< Coefficient >::Construct_x_monotone_segment_2::operator()  (  Curve_2  cv, 
Point_2  end_min,  
Point_2  end_max,  
OutputIterator  out  
) 
Writes a sequence of X_monotone_curve_2
objects (terminal segments) into out
.
These terminal segments compose an \( x\)monotone (or vertical) segment of the curve cv
that starts in end_min
, and ends in end_max
.
end_min
must have a unique \( x\)monotone segment to its right, or end_max
must have a unique \( x\)monotone segment to its left. Furthermore, end_min
and end_max
must be connected by an \( x\)monotone segment of cv
) OutputIterator CGAL::Arr_algebraic_segment_traits_2< Coefficient >::Construct_x_monotone_segment_2::operator()  (  Curve_2  cv, 
Point_2  p,  
Site_of_point  site_of_p,  
OutputIterator  out  
) 
Writes a sequence of X_monotone_curve_2
objects into out
.
These segments form an \( x\)monotone (or vertical) segment of the curve cv
.
If site_of_p==POINT_IN_INTERIOR
, the maximal segment is returned that contains p
in its interior.
returned that contains p
as its left endpoint.
returned that contains p
as its left endpoint.
site_of_p==POINT_IN_INTERIOR
, p
must be an interior point of an \( x\)monotone or a vertical segment. must either have a unique \( x\)monotone segment to the right, or a vertical segment from p
upwards. must either have a unique \( x\)monotone segment to the left, or a vertical segment from p
downwards.) OutputIterator CGAL::Arr_algebraic_segment_traits_2< Coefficient >::Construct_x_monotone_segment_2::operator()  (  Point_2  p, 
Point_2  q,  
OutputIterator  out  
) 
Writes a sequence of X_monotone_curve_2
objects into out
.
These segments form a straightline segment connecting the points p
and q
. If p
and q
share the same \( x\)coordinate, the constructed vertical segment consists of only one X_monotone_curve_2
object and can be computed efficiently. In the nonvertical case, the construction is only possible if p
and q
have both rational x and ycoordinates.
p
must not be equal to q
.)