CGAL::insert
Definition
The function insert inserts one or more curves or x-monotone curves
into a given arrangement, where no restrictions are imposed on the inserted
curves. If an inserted curve is not x-monotone curve, it is subdivided
into x-monotone subcurves (and perhaps isolated points), which are
inserted into the arrangement.
#include <CGAL/Arrangement_2.h>
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template<class Traits, class Dcel, class Curve, class PointLocation>
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void
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insert ( Arrangement_2<Traits,Dcel>& arr, Curve c, PointLocation pl = walk_pl)
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Inserts the given curve c into the arrangement arr.
c is subdivided into x-monotone subcurves (and perhaps isolated
points). Each subcurve is in turn inserted into the arrangement by locating
its left endpoint and computing its zone until reaching the right endpoint.
The given point-location object pl is used to locate the left
endpoints of the x-monotone curves. By default, the function uses the
``walk along line'' point-location strategy - namely an instance of
the class Arr_walk_along_line_point_location<Arrangement_2<Traits,Dcel> >.
Precondition
If provided, pl must be attached to the given arrangement
arr.
Inserts thex-monotone (only) curve xc into the
arrangement arr. The object obj, which either
wraps a Vertex_const_handle, a Halfedge_const_handle, or a
Face_const_handle, represents the location of xc's left
endpoint in the arrangement. The zone of xc is computed starting
from the feature represented by obj. As in the case above, the
zone computation terminates, when the right endpoint is reached.
Thus, point-location is not required.
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template<class Traits, class Dcel, class InputIterator>
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void
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insert ( Arrangement_2<Traits,Dcel>& arr, InputIterator first, InputIterator last)
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Aggregately inserts the curves or x-monotone curves in the range
[first,last) into the arrangement arr using the sweep-line
framework.
#include <CGAL/Arrangement_with_history_2.h>
Inserts the given curve c into the arrangement with history arr,
and returns a handle to the inserted curve. c is subdivided into
x-monotone subcurves (and perhaps isolated points). Each subcurve is in
turn inserted into the arrangement by locating its left endpoint and
computing its zone until reaching the right endpoint.
The given point-location object pl is used to locate the left
endpoints of the x-monotone curves. By default, the function uses the
``walk along line'' point-location strategy - namely an instance of
the class Arr_walk_along_line_point_location<Arrangement_2<Traits,Dcel> >.
Precondition
If provided, pl is attached to the given arrangement
arr.
Aggregately inserts the curves in the range [first,last) into the
arrangement with history arr using the sweep-line framework.
Requirements
- If the curve is x-monotone curve then The instantiated
Traits class must model the ArrangementXMonotoneTraits_2
concept. In case that the curve is not x-monotone then the
instantiated Traits class must model the
ArrangementTraits_2 concept. That is, it should define the
Curve_2 type, and support its subdivision into x-monotone
subcurves (and perhaps isolated points).
- The point-location object pl, must model the
ArrangementPointLocation_2 concept.
