dust3d/thirdparty/cgal/CGAL-5.1/include/CGAL/Snap_rounding_traits_2.h

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// Copyright (c) 2001,2009,2014 Tel-Aviv University (Israel), Max-Planck-Institute Saarbruecken (Germany).
// All rights reserved.
//
// This file is part of CGAL (www.cgal.org).
//
// $URL: https://github.com/CGAL/cgal/blob/v5.1/Snap_rounding_2/include/CGAL/Snap_rounding_traits_2.h $
// $Id: Snap_rounding_traits_2.h 254d60f 2019-10-19T15:23:19+02:00 Sébastien Loriot
// SPDX-License-Identifier: GPL-3.0-or-later OR LicenseRef-Commercial
//
//
// author(s) : Eli Packer <elip@post.tau.ac.il>,
// Waqar Khan <wkhan@mpi-inf.mpg.de>
#ifndef CGAL_SNAP_ROUNDING_2_TRAITS_H
#define CGAL_SNAP_ROUNDING_2_TRAITS_H
#include <CGAL/license/Snap_rounding_2.h>
#include <CGAL/basic.h>
#include <map>
#include <list>
#include <CGAL/Arr_segment_traits_2.h>
namespace CGAL {
template<class Base_kernel>
class Snap_rounding_traits_2 :
public CGAL::Arr_segment_traits_2<Base_kernel> {
public: // otherwise Segment_data cannot access the types
typedef typename Base_kernel::FT NT;
typedef typename Base_kernel::FT FT;
typedef typename Base_kernel::Point_2 Point_2;
typedef typename Base_kernel::Segment_2 Segment_2;
typedef typename Base_kernel::Iso_rectangle_2 Iso_rectangle_2;
typedef typename Base_kernel::Vector_2 Vector_2;
typedef typename Base_kernel::Line_2 Line_2;
typedef typename Base_kernel::Aff_transformation_2 Aff_transformation_2;
typedef typename Base_kernel::Direction_2 Direction_2;
typedef typename Base_kernel::Construct_vertex_2 Construct_vertex_2 ;
typedef typename Base_kernel::Construct_segment_2 Construct_segment_2 ;
typedef typename Base_kernel::Construct_iso_rectangle_2 Construct_iso_rectangle_2;
typedef typename Base_kernel::Compare_y_2 Compare_y_2;
typedef typename Base_kernel::Construct_min_vertex_2 Construct_min_vertex_2;
typedef typename Base_kernel::Construct_max_vertex_2 Construct_max_vertex_2;
typedef typename Base_kernel::Cartesian_const_iterator_2 Cartesian_const_iterator_2;
typedef typename Base_kernel::Construct_cartesian_const_iterator_2 Construct_cartesian_const_iterator_2;
typedef CGAL::Arr_segment_traits_2<Base_kernel> Base_traits;
typedef typename Base_traits::Compare_x_2 Compare_x_2;
typedef CGAL::To_double<NT> To_double;
public:
/*! Functor */
class Snap_2 {
public:
void operator()(const Point_2& p, NT pixel_size, NT &x, NT &y)
{
NT x_tmp = p.x() / pixel_size;
NT y_tmp = p.y() / pixel_size;
NT x_floor = std::floor(CGAL::to_double(x_tmp));
NT y_floor = std::floor(CGAL::to_double(y_tmp));
// fix the usage of to_double and floor:
// there is no guarantee that the double approximation of *_tmp
// has the same integer part as the NT version. The while loops
// is a simple way to ensure that *_tmp are the true floor.
while(x_floor>x_tmp) x_floor-=NT(1);
while(y_floor>y_tmp) y_floor-=NT(1);
while(x_floor+1<=x_tmp) x_floor+=NT(1);
while(y_floor+1<=y_tmp) y_floor+=NT(1);
CGAL_assertion(x_floor<=x_tmp);
CGAL_assertion(y_floor<=y_tmp);
CGAL_assertion(x_floor+1>x_tmp);
CGAL_assertion(y_floor+1>y_tmp);
x = x_floor * pixel_size + pixel_size / NT(2.0);
y = y_floor * pixel_size + pixel_size / NT(2.0);
}
};
Snap_2 snap_2_object() const { return Snap_2(); }
/*! Functor */
class Integer_grid_point_2 {
public:
Point_2 operator()(const Point_2& p, NT pixel_size)
{
NT x = (p.x() - pixel_size / NT(2.0)) / pixel_size;
NT y = (p.y() - pixel_size / NT(2.0)) / pixel_size;
Point_2 out_p(x,y);
return(out_p);
}
};
/*! */
Integer_grid_point_2 integer_grid_point_2_object() const
{
return Integer_grid_point_2();
}
/*! Functor */
class Minkowski_sum_with_pixel_2 {
private:
typedef Snap_rounding_traits_2<Base_kernel> Traits;
typedef std::list<Point_2> Point_list;
const Traits * m_gt;
Minkowski_sum_with_pixel_2(const Traits * gt) : m_gt(gt) {}
public:
void operator()(Point_list & points_list, const Segment_2& s, NT unit_square)
{
Construct_vertex_2 construct_ver = m_gt->construct_vertex_2_object();
Compare_y_2 compare_y = m_gt->compare_y_2_object();
Compare_x_2 compare_x = m_gt->compare_x_2_object();
Point_2 src = construct_ver(s, 0);
Point_2 trg = construct_ver(s, 1);
Comparison_result cx = compare_x(src, trg);
Comparison_result cy = compare_y(src, trg);
NT x1 = src.x();
NT y1 = src.y();
NT x2 = trg.x();
NT y2 = trg.y();
Point_2 ms1, ms2, ms3, ms4, ms5, ms6;// minkowski sum points
if (cx == SMALLER) {
if (cy == SMALLER) {
// we use unit_square instead of unit_square / 2 in order to
// find tangency points which are not supported by kd-tree
ms1 = Point_2(x1 - unit_square, y1 - unit_square);
ms2 = Point_2(x1 - unit_square, y1 + unit_square);
ms3 = Point_2(x1 + unit_square, y1 - unit_square);
ms4 = Point_2(x2 + unit_square, y2 - unit_square);
ms5 = Point_2(x2 + unit_square, y2 + unit_square);
ms6 = Point_2(x2 - unit_square, y2 + unit_square);
} else {
ms1 = Point_2(x1 - unit_square, y1 - unit_square);
ms2 = Point_2(x1 - unit_square, y1 + unit_square);
ms3 = Point_2(x1 + unit_square, y1 + unit_square);
ms4 = Point_2(x2 + unit_square, y2 - unit_square);
ms5 = Point_2(x2 + unit_square, y2 + unit_square);
ms6 = Point_2(x2 - unit_square, y2 - unit_square);
}
} else {
if(cy == SMALLER) {
ms1 = Point_2(x1 + unit_square, y1 - unit_square);
ms2 = Point_2(x1 + unit_square, y1 + unit_square);
ms3 = Point_2(x1 - unit_square, y1 - unit_square);
ms4 = Point_2(x2 + unit_square, y2 + unit_square);
ms5 = Point_2(x2 - unit_square, y2 + unit_square);
ms6 = Point_2(x2 - unit_square, y2 - unit_square);
} else {
ms1 = Point_2(x1 + unit_square, y1 - unit_square);
ms2 = Point_2(x1 + unit_square, y1 + unit_square);
ms3 = Point_2(x1 - unit_square, y1 + unit_square);
ms4 = Point_2(x2 + unit_square, y2 - unit_square);
ms5 = Point_2(x2 - unit_square, y2 - unit_square);
ms6 = Point_2(x2 - unit_square, y2 + unit_square);
}
}
points_list.push_back(ms1);
points_list.push_back(ms2);
points_list.push_back(ms3);
points_list.push_back(ms4);
points_list.push_back(ms5);
points_list.push_back(ms6);
}
friend class Snap_rounding_traits_2<Base_kernel>;
};
/*! */
Minkowski_sum_with_pixel_2 minkowski_sum_with_pixel_2_object() const
{
return Minkowski_sum_with_pixel_2(this);
}
Construct_segment_2 construct_segment_2_object() const
{
Base_kernel k;
return k.construct_segment_2_object();
}
Construct_vertex_2 construct_vertex_2_object() const
{
Base_kernel k;
return k.construct_vertex_2_object();
}
Compare_y_2 compare_y_2_object() const
{
Base_kernel k;
return k.compare_y_2_object();
}
Construct_iso_rectangle_2 construct_iso_rectangle_2_object() const
{
Base_kernel k;
return k.construct_iso_rectangle_2_object();
}
};
} //namespace CGAL
#endif // CGAL_ISR_2_TRAITS_H