445 lines
10 KiB
C++
445 lines
10 KiB
C++
// Copyright (c) 1997-2000 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/Nef_2/include/CGAL/Bounded_kernel.h $
|
|
// $Id: Bounded_kernel.h 0779373 2020-03-26T13:31:46+01:00 Sébastien Loriot
|
|
// SPDX-License-Identifier: GPL-3.0-or-later OR LicenseRef-Commercial
|
|
//
|
|
//
|
|
// Author(s) : Michael Seel <seel@mpi-sb.mpg.de>
|
|
#ifndef CGAL_BOUNDED_KERNEL_H
|
|
#define CGAL_BOUNDED_KERNEL_H
|
|
|
|
#include <CGAL/license/Nef_2.h>
|
|
|
|
#include <CGAL/disable_warnings.h>
|
|
|
|
#include <CGAL/Simple_cartesian.h>
|
|
#include <CGAL/Point_2.h>
|
|
#include <CGAL/Intersections_2/Line_2_Line_2.h>
|
|
|
|
|
|
#undef CGAL_NEF_DEBUG
|
|
#define CGAL_NEF_DEBUG 51
|
|
#include <CGAL/Nef_2/debug.h>
|
|
#include <CGAL/Nef_2/Line_to_epoint.h>
|
|
|
|
namespace CGAL {
|
|
|
|
template <class T> class Bounded_kernel;
|
|
|
|
template<class Kernel>
|
|
struct Is_extended_kernel;
|
|
|
|
template<class T>
|
|
struct Is_extended_kernel<Bounded_kernel<T> > {
|
|
typedef Tag_false value_type;
|
|
};
|
|
|
|
/*{\Xanpage {Bounded_kernel}{}{An extended geometric kernel model}{K}}*/
|
|
|
|
template <class T>
|
|
class Bounded_kernel
|
|
: public T
|
|
{
|
|
|
|
public:
|
|
typedef T Base;
|
|
typedef Bounded_kernel<T> Self;
|
|
typedef T Standard_kernel;
|
|
|
|
|
|
typedef typename Standard_kernel::RT Standard_RT;
|
|
/*{\Xtypemember the standard ring type.}*/
|
|
|
|
typedef typename Standard_kernel::FT Standard_FT;
|
|
/*{\Xtypemember the field type.}*/
|
|
|
|
typedef typename Standard_kernel::Point_2 Standard_point_2;
|
|
/*{\Xtypemember standard points.}*/
|
|
|
|
typedef typename Standard_kernel::Segment_2 Standard_segment_2;
|
|
/*{\Xtypemember standard segments.}*/
|
|
|
|
typedef typename Standard_kernel::Line_2 Standard_line_2;
|
|
/*{\Xtypemember standard oriented lines.}*/
|
|
|
|
typedef typename Standard_kernel::Direction_2 Standard_direction_2;
|
|
/*{\Xtypemember standard directions.}*/
|
|
|
|
typedef typename Standard_kernel::Ray_2 Standard_ray_2;
|
|
/*{\Xtypemember standard rays.}*/
|
|
|
|
typedef typename Standard_kernel::Aff_transformation_2
|
|
Standard_aff_transformation_2;
|
|
/*{\Xtypemember standard affine transformations.}*/
|
|
|
|
/*{\Xtext \headerline{Extended kernel types}}*/
|
|
|
|
typedef typename Base::RT RT;
|
|
/*{\Xtypemember the ring type of our extended kernel.}*/
|
|
|
|
typedef typename Base::FT FT;
|
|
/*{\Xtypemember the ring type of our extended kernel.}*/
|
|
|
|
typedef typename Base::Point_2 Point_2;
|
|
/*{\Xtypemember extended points.}*/
|
|
|
|
typedef typename Base::Segment_2 Segment_2;
|
|
/*{\Xtypemember extended segments.}*/
|
|
|
|
typedef typename Base::Line_2 Line_2;
|
|
/*{\Xtypemember extended lines.}*/
|
|
|
|
typedef typename Base::Direction_2 Direction_2;
|
|
/*{\Xtypemember extended directions.}*/
|
|
|
|
enum Point_type { SWCORNER=1, LEFTFRAME, NWCORNER,
|
|
BOTTOMFRAME, STANDARD, TOPFRAME,
|
|
SECORNER, RIGHTFRAME, NECORNER };
|
|
/*{\Xenum a type descriptor for extended points.}*/
|
|
|
|
Point_2 epoint(const Standard_FT& /*m1*/, const Standard_FT& /*n1*/,
|
|
const Standard_FT& /*m2*/, const Standard_FT& /*n2*/) const
|
|
{
|
|
CGAL_error_msg( "Bounded_kernel::epoint(..) should not be called");
|
|
return Point_2();
|
|
}
|
|
|
|
public:
|
|
|
|
Point_2
|
|
construct_point(const Standard_point_2& p) const
|
|
{
|
|
return p;
|
|
}
|
|
|
|
Point_2
|
|
construct_point(const Standard_line_2& , Point_type& ) const
|
|
{
|
|
CGAL_error_msg( "Bounded_kernel::construct_point(Line,Point_type) should not be called");
|
|
return Point_2();
|
|
}
|
|
|
|
Point_2
|
|
construct_point(const Standard_point_2& ,
|
|
const Standard_point_2& ,
|
|
Point_type& /*t*/) const
|
|
{
|
|
CGAL_error_msg( "Bounded_kernel::construct_point(Point,Point) should not be called");
|
|
return Point_2();
|
|
}
|
|
|
|
Point_2
|
|
construct_point(const Standard_line_2& ) const
|
|
{
|
|
CGAL_error_msg( "Bounded_kernel::construct_point(Line) should not be called");
|
|
return Point_2();
|
|
}
|
|
|
|
Point_2
|
|
construct_point(const Standard_point_2& ,
|
|
const Standard_point_2& ) const
|
|
{
|
|
CGAL_error_msg( "Bounded_kernel::construct_point(Point,Point) should not be called");
|
|
return Point_2();
|
|
}
|
|
|
|
Point_2 construct_point(const Standard_point_2& ,
|
|
const Standard_direction_2& ) const
|
|
{
|
|
CGAL_error_msg( "Bounded_kernel::construct_point(Point,Direction) should not be called");
|
|
return Point_2();
|
|
}
|
|
|
|
Point_2
|
|
construct_opposite_point(const Standard_line_2& /*l*/) const
|
|
{
|
|
CGAL_error_msg( "Bounded_kernel::construct_opposite_point(..) should not be called");
|
|
return Point_2();
|
|
}
|
|
|
|
Point_type
|
|
type(const Point_2& /*p*/) const
|
|
{
|
|
return STANDARD;
|
|
}
|
|
|
|
|
|
bool
|
|
is_standard(const Point_2& /*p*/) const
|
|
{
|
|
return true;
|
|
}
|
|
|
|
Standard_point_2
|
|
standard_point(const Point_2& p) const
|
|
{
|
|
return p;
|
|
}
|
|
|
|
Standard_line_2
|
|
standard_line(const Point_2& /*p*/) const
|
|
{
|
|
CGAL_error_msg( "Bounded_kernel::standard_line(..) should not be called");
|
|
return Standard_line_2();
|
|
}
|
|
|
|
Standard_ray_2
|
|
standard_ray(const Point_2& /*p*/) const
|
|
{
|
|
CGAL_error_msg( "Bounded_kernel::standard_ray(..) should not be called");
|
|
return Standard_ray_2();
|
|
}
|
|
|
|
Point_2
|
|
NE() const
|
|
{
|
|
CGAL_error_msg( "Bounded_kernel::NE(..) should not be called");
|
|
return Point_2();
|
|
}
|
|
|
|
|
|
Point_2
|
|
SE() const
|
|
{
|
|
CGAL_error_msg( "Bounded_kernel::SE(..) should not be called");
|
|
return Point_2();
|
|
}
|
|
|
|
|
|
Point_2
|
|
NW() const
|
|
{
|
|
CGAL_error_msg( "Bounded_kernel::NW(..) should not be called");
|
|
return Point_2();
|
|
}
|
|
|
|
|
|
Point_2
|
|
SW() const
|
|
{
|
|
CGAL_error_msg( "Bounded_kernel::SW(..) should not be called");
|
|
return Point_2();
|
|
}
|
|
|
|
|
|
Line_2
|
|
upper() const
|
|
{
|
|
CGAL_error_msg( "Bounded_kernel::upper(..) should not be called");
|
|
return Line_2();
|
|
}
|
|
|
|
|
|
Line_2
|
|
lower() const
|
|
{
|
|
CGAL_error_msg( "Bounded_kernel::lower(..) should not be called");
|
|
return Line_2();
|
|
}
|
|
|
|
|
|
Line_2
|
|
left() const
|
|
{
|
|
CGAL_error_msg( "Bounded_kernel::left(..) should not be called");
|
|
return Line_2();
|
|
}
|
|
|
|
|
|
|
|
Line_2
|
|
right() const
|
|
{
|
|
CGAL_error_msg( "Bounded_kernel::right(..) should not be called");
|
|
return Line_2();
|
|
}
|
|
|
|
|
|
|
|
Point_2
|
|
source(const Segment_2& s) const
|
|
{
|
|
typename Base::Construct_vertex_2 _source =
|
|
this->construct_vertex_2_object();
|
|
return _source(s,0); }
|
|
|
|
Point_2
|
|
target(const Segment_2& s) const
|
|
{
|
|
typename Base::Construct_vertex_2 _target =
|
|
this->construct_vertex_2_object();
|
|
return _target(s,1); }
|
|
|
|
Segment_2
|
|
construct_segment(const Point_2& p, const Point_2& q) const
|
|
{
|
|
typename Base::Construct_segment_2 _segment =
|
|
this->construct_segment_2_object();
|
|
return _segment(p,q);
|
|
}
|
|
|
|
Line_2
|
|
construct_line(const Standard_line_2& l) const
|
|
{
|
|
return Line_2(l.a(),l.b(),l.c());
|
|
}
|
|
|
|
Line_2
|
|
construct_line(const Point_2& p1, const Point_2& p2) const
|
|
{
|
|
return Line_2(p1,p2);
|
|
}
|
|
|
|
|
|
int
|
|
orientation(const Segment_2& s, const Point_2& p) const
|
|
{
|
|
typename Base::Orientation_2 _orientation =
|
|
this->orientation_2_object();
|
|
return static_cast<int> ( _orientation(source(s),target(s),p) );
|
|
}
|
|
|
|
int
|
|
orientation(const Point_2& p1, const Point_2& p2, const Point_2& p3) const
|
|
{
|
|
typename Base::Orientation_2 _orientation =
|
|
this->orientation_2_object();
|
|
return static_cast<int> ( _orientation(p1,p2,p3) );
|
|
}
|
|
|
|
bool
|
|
left_turn(const Point_2& p1, const Point_2& p2, const Point_2& p3) const
|
|
{
|
|
return orientation(p1,p2,p3) > 0;
|
|
}
|
|
|
|
bool
|
|
is_degenerate(const Segment_2& s) const
|
|
{
|
|
typename Base::Is_degenerate_2 _is_degenerate =
|
|
this->is_degenerate_2_object();
|
|
return _is_degenerate(s);
|
|
}
|
|
|
|
int
|
|
compare_xy(const Point_2& p1, const Point_2& p2) const
|
|
{
|
|
typename Base::Compare_xy_2 _compare_xy =
|
|
this->compare_xy_2_object();
|
|
return static_cast<int>( _compare_xy(p1,p2) );
|
|
}
|
|
|
|
int
|
|
compare_x(const Point_2& p1, const Point_2& p2) const
|
|
{
|
|
typename Base::Compare_x_2 _compare_x =
|
|
this->compare_x_2_object();
|
|
return static_cast<int>( _compare_x(p1,p2) );
|
|
}
|
|
|
|
int
|
|
compare_y(const Point_2& p1, const Point_2& p2) const
|
|
{
|
|
typename Base::Compare_y_2 _compare_y =
|
|
this->compare_y_2_object();
|
|
return static_cast<int>( _compare_y(p1,p2) );
|
|
}
|
|
|
|
|
|
Point_2
|
|
intersection(const Segment_2& s1, const Segment_2& s2) const
|
|
{
|
|
typename Base::Intersect_2 _intersect =
|
|
this->intersect_2_object();
|
|
typename Base::Construct_line_2 _line =
|
|
this->construct_line_2_object();
|
|
Point_2 p;
|
|
Line_2 l1 = _line(s1);
|
|
Line_2 l2 = _line(s2);
|
|
|
|
CGAL::Object result =
|
|
_intersect(l1, l2);
|
|
if ( !CGAL::assign(p, result) )
|
|
CGAL_error_msg("intersection: no intersection.");
|
|
return p;
|
|
}
|
|
|
|
Direction_2
|
|
construct_direction(const Point_2& p1, const Point_2& p2) const
|
|
{
|
|
typename Base::Construct_direction_2 _direction =
|
|
this->construct_direction_2_object();
|
|
return _direction(construct_line(p1,p2));
|
|
}
|
|
|
|
bool
|
|
strictly_ordered_ccw(const Direction_2& d1,
|
|
const Direction_2& d2, const Direction_2& d3) const
|
|
{
|
|
if ( d1 < d2 ) return ( d2 < d3 )||( d3 <= d1 );
|
|
if ( d1 > d2 ) return ( d2 < d3 )&&( d3 <= d1 );
|
|
return false;
|
|
}
|
|
|
|
bool
|
|
contains(const Segment_2& s, const Point_2& p) const
|
|
{
|
|
typename Base::Has_on_2 _contains = this->has_on_2_object();
|
|
return _contains(s,p);
|
|
}
|
|
|
|
bool
|
|
strictly_ordered_along_line(const Point_2& p1, const Point_2& p2, const Point_2& p3) const
|
|
{
|
|
typename Base::Are_strictly_ordered_along_line_2 _ordered =
|
|
this->are_strictly_ordered_along_line_2_object();
|
|
return _ordered(p1,p2,p3);
|
|
}
|
|
|
|
bool
|
|
first_pair_closer_than_second(const Point_2& p1, const Point_2& p2,
|
|
const Point_2& p3, const Point_2& p4) const
|
|
{
|
|
return ( squared_distance(p1,p2) < squared_distance(p3,p4) );
|
|
}
|
|
|
|
template <class Forward_iterator>
|
|
void
|
|
determine_frame_radius(Forward_iterator start, Forward_iterator end,
|
|
Standard_RT& R0) const
|
|
{
|
|
Standard_RT R;
|
|
while ( start != end ) {
|
|
Point_2 p = *start++;
|
|
if ( is_standard(p) ) {
|
|
R = (CGAL::max)(CGAL_NTS abs(p.x()[0]), CGAL_NTS abs(p.y()[0]));
|
|
} else {
|
|
RT rx = CGAL_NTS abs(p.x()), ry = CGAL_NTS abs(p.y());
|
|
if ( rx[1] > ry[1] ) R = CGAL_NTS abs(ry[0]-rx[0])/(rx[1]-ry[1]);
|
|
else if ( rx[1] < ry[1] ) R = CGAL_NTS abs(rx[0]-ry[0])/(ry[1]-rx[1]);
|
|
else /* rx[1] == ry[1] */ R = CGAL_NTS abs(rx[0]-ry[0])/2;
|
|
}
|
|
R0 = (CGAL::max)(R+1,R0);
|
|
}
|
|
}
|
|
|
|
|
|
|
|
const char*
|
|
output_identifier() const
|
|
{
|
|
return "Bounded_kernel";
|
|
}
|
|
|
|
};
|
|
|
|
} //namespace CGAL
|
|
|
|
#include <CGAL/enable_warnings.h>
|
|
|
|
#endif // CGAL_BOUNDED_KERNEL_H
|