259 lines
11 KiB
C++
259 lines
11 KiB
C++
// Copyright (c) 2005,2006,2007,2008,2009,2010,2011 Tel-Aviv University (Israel).
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// All rights reserved.
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//
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// This file is part of CGAL (www.cgal.org).
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//
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// $URL: https://github.com/CGAL/cgal/blob/v5.1/Arrangement_on_surface_2/include/CGAL/Arr_overlay_2.h $
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// $Id: Arr_overlay_2.h 254d60f 2019-10-19T15:23:19+02:00 Sébastien Loriot
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// SPDX-License-Identifier: GPL-3.0-or-later OR LicenseRef-Commercial
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//
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//
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// Author(s) : Baruch Zukerman <baruchzu@post.tau.ac.il>
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// Efi Fogel <efifogel@gmail.com>
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#ifndef CGAL_ARR_OVERLAY_2_H
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#define CGAL_ARR_OVERLAY_2_H
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#include <CGAL/license/Arrangement_on_surface_2.h>
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#include <CGAL/disable_warnings.h>
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/*! \file
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*
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* Definition of the global Arr_overlay_2() function.
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*/
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#include <vector>
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#include <boost/optional/optional.hpp>
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#include <boost/mpl/if.hpp>
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#include <boost/mpl/or.hpp>
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#include <boost/type_traits.hpp>
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#include <CGAL/Arrangement_on_surface_2.h>
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#include <CGAL/Surface_sweep_2.h>
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#include <CGAL/Surface_sweep_2/Arr_default_overlay_traits_base.h>
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#include <CGAL/Surface_sweep_2/Arr_overlay_traits_2.h>
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#include <CGAL/Surface_sweep_2/Arr_overlay_ss_visitor.h>
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#include <CGAL/Surface_sweep_2/Arr_overlay_event.h>
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#include <CGAL/Surface_sweep_2/Arr_overlay_subcurve.h>
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#include <CGAL/assertions.h>
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namespace CGAL {
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/*! Compute the overlay of two input arrangements.
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* \tparam GeometryTraitsA_2 the geometry traits of the first arrangement.
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* \tparam GeometryTraitsB_2 the geometry traits of the second arrangement.
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* \tparam GeometryTraitsRes_2 the geometry traits of the resulting arrangement.
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* \tparam TopologyTraitsA the topology traits of the first arrangement.
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* \tparam TopologyTraitsB the topology traits of the second arrangement.
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* \tparam TopologyTraitsRes the topology traits of the resulting arrangement.
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* \tparam OverlayTraits An overlay-traits class. As arr1, arr2 and res can be
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* templated with different geometry-traits class and
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* different DCELs (encapsulated in the various topology-traits
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* classes). The geometry-traits of the result arrangement is
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* used to construct the result arrangement. This means that all
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* the types (e.g., Point_2, Curve_2 and X_monotone_2) of both
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* arr1 and arr2 have to be convertible to the types
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* in the result geometry-traits.
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* The overlay-traits class defines the various
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* overlay operations of pairs of DCEL features from
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* TopologyTraitsA and TopologyTraitsB to the resulting ResDcel.
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*/
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template <typename GeometryTraitsA_2,
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typename GeometryTraitsB_2,
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typename GeometryTraitsRes_2,
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typename TopologyTraitsA,
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typename TopologyTraitsB,
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typename TopologyTraitsRes,
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typename OverlayTraits>
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void
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overlay(const Arrangement_on_surface_2<GeometryTraitsA_2, TopologyTraitsA>& arr1,
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const Arrangement_on_surface_2<GeometryTraitsB_2, TopologyTraitsB>& arr2,
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Arrangement_on_surface_2<GeometryTraitsRes_2, TopologyTraitsRes>& arr,
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OverlayTraits& ovl_tr)
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{
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typedef GeometryTraitsA_2 Agt2;
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typedef GeometryTraitsB_2 Bgt2;
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typedef GeometryTraitsRes_2 Rgt2;
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typedef TopologyTraitsA Att;
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typedef TopologyTraitsB Btt;
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typedef TopologyTraitsRes Rtt;
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typedef OverlayTraits Overlay_traits;
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typedef Arrangement_on_surface_2<Agt2, Att> Arr_a;
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typedef Arrangement_on_surface_2<Bgt2, Btt> Arr_b;
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typedef Arrangement_on_surface_2<Rgt2, Rtt> Arr_res;
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typedef typename Arr_res::Allocator Allocator;
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// some type assertions (not all, but better then nothing).
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#if !defined(CGAL_NO_ASSERTIONS)
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typedef typename Agt2::Point_2 A_point;
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typedef typename Bgt2::Point_2 B_point;
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typedef typename Rgt2::Point_2 Res_point;
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#endif
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CGAL_static_assertion((boost::is_convertible<A_point, Res_point>::value));
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CGAL_static_assertion((boost::is_convertible<B_point, Res_point>::value));
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#if !defined(CGAL_NO_ASSERTIONS)
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typedef typename Agt2::X_monotone_curve_2 A_xcv;
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typedef typename Bgt2::X_monotone_curve_2 B_xcv;
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typedef typename Rgt2::X_monotone_curve_2 Res_xcv;
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#endif
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CGAL_static_assertion((boost::is_convertible<A_xcv, Res_xcv>::value));
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CGAL_static_assertion((boost::is_convertible<B_xcv, Res_xcv>::value));
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typedef Arr_traits_basic_adaptor_2<Rgt2> Gt_adaptor_2;
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typedef Arr_overlay_traits_2<Gt_adaptor_2, Arr_a, Arr_b>
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Ovl_gt2;
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typedef Arr_overlay_event<Ovl_gt2, Arr_res, Allocator>
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Ovl_event;
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typedef Arr_overlay_subcurve<Ovl_gt2, Ovl_event, Allocator>
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Ovl_curve;
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typedef typename TopologyTraitsRes::template
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Overlay_helper<Ovl_gt2, Ovl_event, Ovl_curve, Arr_a, Arr_b>
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Ovl_helper;
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typedef Arr_overlay_ss_visitor<Ovl_helper, Overlay_traits>
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Ovl_visitor;
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typedef typename Ovl_gt2::X_monotone_curve_2 Ovl_x_monotone_curve_2;
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typedef typename Ovl_gt2::Point_2 Ovl_point_2;
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typedef typename Ovl_gt2::Cell_handle_red Cell_handle_red;
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typedef typename Ovl_gt2::Optional_cell_red Optional_cell_red;
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typedef typename Ovl_gt2::Cell_handle_blue Cell_handle_blue;
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typedef typename Ovl_gt2::Optional_cell_blue Optional_cell_blue;
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CGAL_USE_TYPE(Optional_cell_red);
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CGAL_USE_TYPE(Optional_cell_blue);
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// The result arrangement cannot be on of the input arrangements.
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CGAL_precondition(((void*)(&arr) != (void*)(&arr1)) &&
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((void*)(&arr) != (void*)(&arr2)));
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// Prepare a vector of extended x-monotone curves that represent all edges
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// in both input arrangements. Each curve is associated with a halfedge
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// directed from right to left.
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typename Arr_a::Halfedge_const_handle invalid_he1;
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typename Arr_b::Halfedge_const_handle invalid_he2;
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std::vector<Ovl_x_monotone_curve_2>
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xcvs_vec(arr1.number_of_edges() + arr2.number_of_edges());
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unsigned int i = 0;
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typename Arr_a::Edge_const_iterator eit1;
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for (eit1 = arr1.edges_begin(); eit1 != arr1.edges_end(); ++eit1, ++i) {
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typename Arr_a::Halfedge_const_handle he1 = eit1;
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if (he1->direction() != ARR_RIGHT_TO_LEFT) he1 = he1->twin();
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xcvs_vec[i] = Ovl_x_monotone_curve_2(eit1->curve(), he1, invalid_he2);
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}
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typename Arr_b::Edge_const_iterator eit2;
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for (eit2 = arr2.edges_begin(); eit2 != arr2.edges_end(); ++eit2, ++i) {
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typename Arr_b::Halfedge_const_handle he2 = eit2;
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if (he2->direction() != ARR_RIGHT_TO_LEFT) he2 = he2->twin();
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xcvs_vec[i] = Ovl_x_monotone_curve_2(eit2->curve(), invalid_he1, he2);
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}
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// Obtain a extended traits-class object and define the sweep-line visitor.
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const typename Arr_res::Traits_adaptor_2* traits_adaptor =
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arr.traits_adaptor();
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/* We would like to avoid copy construction of the geometry traits class.
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* Copy construction is undesired, because it may results with data
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* duplication or even data loss.
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*
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* If the type Ovl_gt2 is the same as the type
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* GeomTraits, use a reference to GeomTraits to avoid constructing a new one.
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* Otherwise, instantiate a local variable of the former and provide
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* the later as a single parameter to the constructor.
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*
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* Use the form 'A a(*b);' and not ''A a = b;' to handle the case where A has
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* only an implicit constructor, (which takes *b as a parameter).
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*/
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typename boost::mpl::if_<boost::is_same<Gt_adaptor_2, Ovl_gt2>,
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const Ovl_gt2&, Ovl_gt2>::type
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ex_traits(*traits_adaptor);
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Ovl_visitor visitor(&arr1, &arr2, &arr, &ovl_tr);
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Ss2::Surface_sweep_2<Ovl_visitor> surface_sweep(&ex_traits, &visitor);
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// In case both arrangement do not contain isolated vertices, go on and
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// overlay them.
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const std::size_t total_iso_verts =
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arr1.number_of_isolated_vertices() + arr2.number_of_isolated_vertices();
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if (total_iso_verts == 0) {
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// Clear the result arrangement and perform the sweep to construct it.
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arr.clear();
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surface_sweep.sweep(xcvs_vec.begin(), xcvs_vec.end());
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xcvs_vec.clear();
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return;
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}
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// Prepare a vector of extended points that represent all isolated vertices
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// in both input arrangements.
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std::vector<Ovl_point_2> pts_vec(total_iso_verts);
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i = 0;
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typename Arr_a::Vertex_const_iterator vit1;
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for (vit1 = arr1.vertices_begin(); vit1 != arr1.vertices_end(); ++vit1) {
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if (vit1->is_isolated()) {
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typename Arr_a::Vertex_const_handle v1 = vit1;
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pts_vec[i++] =
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Ovl_point_2(vit1->point(), boost::make_optional(Cell_handle_red(v1)),
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boost::optional<Cell_handle_blue>());
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}
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}
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typename Arr_b::Vertex_const_iterator vit2;
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for (vit2 = arr2.vertices_begin(); vit2 != arr2.vertices_end(); ++vit2) {
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if (vit2->is_isolated()) {
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typename Arr_b::Vertex_const_handle v2 = vit2;
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pts_vec[i++] =
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Ovl_point_2(vit2->point(), boost::optional<Cell_handle_red>(),
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boost::make_optional(Cell_handle_blue(v2)));
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}
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}
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// Clear the result arrangement and perform the sweep to construct it.
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arr.clear();
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surface_sweep.sweep(xcvs_vec.begin(), xcvs_vec.end(),
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pts_vec.begin(), pts_vec.end());
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xcvs_vec.clear();
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pts_vec.clear();
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}
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/*! Compute the (simple) overlay of two input arrangements.
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* \param[in] arr1 the first arrangement.
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* \param[in] arr2 the second arrangement.
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* \param[out] arr the resulting arrangement.
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*/
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template <typename GeometryTraitsA_2,
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typename GeometryTraitsB_2,
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typename GeometryTraitsRes_2,
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typename TopologyTraitsA,
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typename TopologyTraitsB,
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typename TopologyTraitsRes>
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void
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overlay(const Arrangement_on_surface_2<GeometryTraitsA_2, TopologyTraitsA>& arr1,
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const Arrangement_on_surface_2<GeometryTraitsB_2, TopologyTraitsB>& arr2,
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Arrangement_on_surface_2<GeometryTraitsRes_2, TopologyTraitsRes>& arr)
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{
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typedef GeometryTraitsA_2 Agt2;
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typedef GeometryTraitsB_2 Bgt2;
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typedef GeometryTraitsRes_2 Rgt2;
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typedef TopologyTraitsA Att;
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typedef TopologyTraitsB Btt;
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typedef TopologyTraitsRes Rtt;
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typedef Arrangement_on_surface_2<Agt2, Att> Arr_a;
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typedef Arrangement_on_surface_2<Bgt2, Btt> Arr_b;
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typedef Arrangement_on_surface_2<Rgt2, Rtt> Arr_res;
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_Arr_default_overlay_traits_base<Arr_a, Arr_b, Arr_res> ovl_traits;
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overlay(arr1, arr2, arr, ovl_traits);
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}
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} // namespace CGAL
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#include <CGAL/enable_warnings.h>
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#endif
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