219 lines
7.5 KiB
C
219 lines
7.5 KiB
C
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// Copyright (c) 2001,2009,2014 Tel-Aviv University (Israel), Max-Planck-Institute Saarbruecken (Germany).
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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/Snap_rounding_2/include/CGAL/Snap_rounding_traits_2.h $
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// $Id: Snap_rounding_traits_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) : Eli Packer <elip@post.tau.ac.il>,
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// Waqar Khan <wkhan@mpi-inf.mpg.de>
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#ifndef CGAL_SNAP_ROUNDING_2_TRAITS_H
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#define CGAL_SNAP_ROUNDING_2_TRAITS_H
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#include <CGAL/license/Snap_rounding_2.h>
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#include <CGAL/basic.h>
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#include <map>
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#include <list>
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#include <CGAL/Arr_segment_traits_2.h>
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namespace CGAL {
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template<class Base_kernel>
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class Snap_rounding_traits_2 :
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public CGAL::Arr_segment_traits_2<Base_kernel> {
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public: // otherwise Segment_data cannot access the types
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typedef typename Base_kernel::FT NT;
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typedef typename Base_kernel::FT FT;
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typedef typename Base_kernel::Point_2 Point_2;
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typedef typename Base_kernel::Segment_2 Segment_2;
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typedef typename Base_kernel::Iso_rectangle_2 Iso_rectangle_2;
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typedef typename Base_kernel::Vector_2 Vector_2;
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typedef typename Base_kernel::Line_2 Line_2;
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typedef typename Base_kernel::Aff_transformation_2 Aff_transformation_2;
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typedef typename Base_kernel::Direction_2 Direction_2;
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typedef typename Base_kernel::Construct_vertex_2 Construct_vertex_2 ;
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typedef typename Base_kernel::Construct_segment_2 Construct_segment_2 ;
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typedef typename Base_kernel::Construct_iso_rectangle_2 Construct_iso_rectangle_2;
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typedef typename Base_kernel::Compare_y_2 Compare_y_2;
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typedef typename Base_kernel::Construct_min_vertex_2 Construct_min_vertex_2;
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typedef typename Base_kernel::Construct_max_vertex_2 Construct_max_vertex_2;
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typedef typename Base_kernel::Cartesian_const_iterator_2 Cartesian_const_iterator_2;
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typedef typename Base_kernel::Construct_cartesian_const_iterator_2 Construct_cartesian_const_iterator_2;
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typedef CGAL::Arr_segment_traits_2<Base_kernel> Base_traits;
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typedef typename Base_traits::Compare_x_2 Compare_x_2;
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typedef CGAL::To_double<NT> To_double;
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public:
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/*! Functor */
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class Snap_2 {
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public:
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void operator()(const Point_2& p, NT pixel_size, NT &x, NT &y)
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{
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NT x_tmp = p.x() / pixel_size;
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NT y_tmp = p.y() / pixel_size;
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NT x_floor = std::floor(CGAL::to_double(x_tmp));
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NT y_floor = std::floor(CGAL::to_double(y_tmp));
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// fix the usage of to_double and floor:
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// there is no guarantee that the double approximation of *_tmp
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// has the same integer part as the NT version. The while loops
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// is a simple way to ensure that *_tmp are the true floor.
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while(x_floor>x_tmp) x_floor-=NT(1);
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while(y_floor>y_tmp) y_floor-=NT(1);
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while(x_floor+1<=x_tmp) x_floor+=NT(1);
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while(y_floor+1<=y_tmp) y_floor+=NT(1);
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CGAL_assertion(x_floor<=x_tmp);
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CGAL_assertion(y_floor<=y_tmp);
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CGAL_assertion(x_floor+1>x_tmp);
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CGAL_assertion(y_floor+1>y_tmp);
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x = x_floor * pixel_size + pixel_size / NT(2.0);
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y = y_floor * pixel_size + pixel_size / NT(2.0);
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}
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};
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Snap_2 snap_2_object() const { return Snap_2(); }
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/*! Functor */
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class Integer_grid_point_2 {
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public:
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Point_2 operator()(const Point_2& p, NT pixel_size)
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{
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NT x = (p.x() - pixel_size / NT(2.0)) / pixel_size;
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NT y = (p.y() - pixel_size / NT(2.0)) / pixel_size;
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Point_2 out_p(x,y);
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return(out_p);
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}
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};
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/*! */
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Integer_grid_point_2 integer_grid_point_2_object() const
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{
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return Integer_grid_point_2();
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}
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/*! Functor */
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class Minkowski_sum_with_pixel_2 {
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private:
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typedef Snap_rounding_traits_2<Base_kernel> Traits;
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typedef std::list<Point_2> Point_list;
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const Traits * m_gt;
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Minkowski_sum_with_pixel_2(const Traits * gt) : m_gt(gt) {}
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public:
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void operator()(Point_list & points_list, const Segment_2& s, NT unit_square)
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{
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Construct_vertex_2 construct_ver = m_gt->construct_vertex_2_object();
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Compare_y_2 compare_y = m_gt->compare_y_2_object();
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Compare_x_2 compare_x = m_gt->compare_x_2_object();
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Point_2 src = construct_ver(s, 0);
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Point_2 trg = construct_ver(s, 1);
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Comparison_result cx = compare_x(src, trg);
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Comparison_result cy = compare_y(src, trg);
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NT x1 = src.x();
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NT y1 = src.y();
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NT x2 = trg.x();
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NT y2 = trg.y();
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Point_2 ms1, ms2, ms3, ms4, ms5, ms6;// minkowski sum points
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if (cx == SMALLER) {
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if (cy == SMALLER) {
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// we use unit_square instead of unit_square / 2 in order to
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// find tangency points which are not supported by kd-tree
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ms1 = Point_2(x1 - unit_square, y1 - unit_square);
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ms2 = Point_2(x1 - unit_square, y1 + unit_square);
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ms3 = Point_2(x1 + unit_square, y1 - unit_square);
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ms4 = Point_2(x2 + unit_square, y2 - unit_square);
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ms5 = Point_2(x2 + unit_square, y2 + unit_square);
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ms6 = Point_2(x2 - unit_square, y2 + unit_square);
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} else {
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ms1 = Point_2(x1 - unit_square, y1 - unit_square);
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ms2 = Point_2(x1 - unit_square, y1 + unit_square);
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ms3 = Point_2(x1 + unit_square, y1 + unit_square);
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ms4 = Point_2(x2 + unit_square, y2 - unit_square);
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ms5 = Point_2(x2 + unit_square, y2 + unit_square);
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ms6 = Point_2(x2 - unit_square, y2 - unit_square);
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}
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} else {
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if(cy == SMALLER) {
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ms1 = Point_2(x1 + unit_square, y1 - unit_square);
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ms2 = Point_2(x1 + unit_square, y1 + unit_square);
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ms3 = Point_2(x1 - unit_square, y1 - unit_square);
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ms4 = Point_2(x2 + unit_square, y2 + unit_square);
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ms5 = Point_2(x2 - unit_square, y2 + unit_square);
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ms6 = Point_2(x2 - unit_square, y2 - unit_square);
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} else {
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ms1 = Point_2(x1 + unit_square, y1 - unit_square);
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ms2 = Point_2(x1 + unit_square, y1 + unit_square);
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ms3 = Point_2(x1 - unit_square, y1 + unit_square);
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ms4 = Point_2(x2 + unit_square, y2 - unit_square);
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ms5 = Point_2(x2 - unit_square, y2 - unit_square);
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ms6 = Point_2(x2 - unit_square, y2 + unit_square);
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}
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}
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points_list.push_back(ms1);
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points_list.push_back(ms2);
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points_list.push_back(ms3);
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points_list.push_back(ms4);
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points_list.push_back(ms5);
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points_list.push_back(ms6);
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}
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friend class Snap_rounding_traits_2<Base_kernel>;
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};
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/*! */
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Minkowski_sum_with_pixel_2 minkowski_sum_with_pixel_2_object() const
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{
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return Minkowski_sum_with_pixel_2(this);
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}
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Construct_segment_2 construct_segment_2_object() const
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{
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Base_kernel k;
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return k.construct_segment_2_object();
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}
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Construct_vertex_2 construct_vertex_2_object() const
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{
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Base_kernel k;
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return k.construct_vertex_2_object();
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}
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Compare_y_2 compare_y_2_object() const
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{
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Base_kernel k;
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return k.compare_y_2_object();
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}
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Construct_iso_rectangle_2 construct_iso_rectangle_2_object() const
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{
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Base_kernel k;
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return k.construct_iso_rectangle_2_object();
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}
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};
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} //namespace CGAL
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#endif // CGAL_ISR_2_TRAITS_H
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