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// Copyright (c) 2000
// Utrecht University (The Netherlands),
// ETH Zurich (Switzerland),
// INRIA Sophia-Antipolis (France),
// Max-Planck-Institute Saarbruecken (Germany),
// and Tel-Aviv University (Israel). All rights reserved.
//
// This file is part of CGAL (www.cgal.org)
//
// $URL: https://github.com/CGAL/cgal/blob/v6.1/Cartesian_kernel/include/CGAL/Cartesian/Rotation_rep_2.h $
// $Id: include/CGAL/Cartesian/Rotation_rep_2.h b26b07a1242 $
// SPDX-License-Identifier: LGPL-3.0-or-later OR LicenseRef-Commercial
//
//
// Author(s) : Andreas Fabri, Herve Bronnimann
#ifndef CGAL_CARTESIAN_ROTATION_REP_2_H
#define CGAL_CARTESIAN_ROTATION_REP_2_H
#include <CGAL/rational_rotation.h>
namespace CGAL {
template < class R >
class Rotation_repC2: public Aff_transformation_rep_baseC2<R>
{
friend class Aff_transformation_repC2<R>;
friend class Translation_repC2<R>;
friend class Scaling_repC2<R>;
friend class Reflection_repC2<R>;
public:
typedef Aff_transformation_rep_baseC2<R> Aff_t_base;
typedef typename Aff_t_base::FT FT;
typedef typename Aff_t_base::Point_2 Point_2;
typedef typename Aff_t_base::Vector_2 Vector_2;
typedef typename Aff_t_base::Direction_2 Direction_2;
typedef typename Aff_t_base::Aff_transformation_2 Aff_transformation_2;
typedef Aff_transformation_repC2<R> Transformation;
typedef Translation_repC2<R> Translation;
typedef Rotation_repC2<R> Rotation;
typedef Scaling_repC2<R> Scaling;
typedef Reflection_repC2<R> Reflection;
Rotation_repC2() {}
Rotation_repC2(const FT &sinus, const FT &cosinus)
: sinus_(sinus), cosinus_(cosinus) {}
Rotation_repC2(const Direction_2 &d,
const FT &eps_num,
const FT &eps_den = FT(1))
{
FT sin_num;
FT cos_num;
FT denom;
rational_rotation_approximation(d.dx(),
d.dy(),
sin_num,
cos_num,
denom,
eps_num,
eps_den);
sinus_ = sin_num/denom;
cosinus_ = cos_num/denom;
}
Point_2 transform(const Point_2 &p) const
{
return Point_2(cosinus_ * p.x() - sinus_ * p.y(),
sinus_ * p.x() + cosinus_ * p.y());
}
Vector_2 transform(const Vector_2 &v) const
{
return Vector_2(cosinus_ * v.x() - sinus_ * v.y(),
sinus_ * v.x() + cosinus_ * v.y());
}
Direction_2 transform(const Direction_2 &d) const
{
return Direction_2(cosinus_ * d.dx() - sinus_ * d.dy(),
sinus_ * d.dx() + cosinus_ * d.dy());
}
Aff_transformation_2 inverse() const
{
return Aff_transformation_2(ROTATION, - sinus_, cosinus_, FT(1));
}
Aff_transformation_2 operator*(const Aff_t_base &t) const
{
return t.compose(*this);
}
Aff_transformation_2 compose(const Translation &t) const
{
return Aff_transformation_2(cosinus_,
-sinus_,
t.translationvector_.x(),
sinus_,
cosinus_,
t.translationvector_.y());
}
Aff_transformation_2 compose(const Rotation &t) const
{
return Aff_transformation_2(ROTATION,
t.sinus_*cosinus_ + t.cosinus_*sinus_,
t.cosinus_*cosinus_-t.sinus_*sinus_ );
}
Aff_transformation_2 compose(const Scaling &t) const
{
return Aff_transformation_2(t.scalefactor_*cosinus_,
t.scalefactor_*-sinus_,
t.scalefactor_*sinus_,
t.scalefactor_*cosinus_);
}
Aff_transformation_2 compose(const Reflection &r) const
{
return Aff_transformation_2(
r.cosinus_*cosinus_+r.sinus_*sinus_,
-r.cosinus_*sinus_+r.sinus_*cosinus_,
r.t13(),
r.sinus_*cosinus_-r.cosinus_*sinus_,
-r.sinus_*sinus_-r.cosinus_*cosinus_
, r.t23());
}
Aff_transformation_2 compose(const Transformation &t) const
{
return Aff_transformation_2(cosinus_*t.t11 + sinus_*t.t12,
-sinus_*t.t11 + cosinus_*t.t12,
t.t13,
cosinus_*t.t21 + sinus_*t.t22,
-sinus_*t.t21 + cosinus_*t.t22,
t.t23);
}
bool is_even() const
{
return true;
}
bool is_rotation() const
{
return true;
}
FT cartesian(int i, int j) const
{
switch (i)
{
case 0: switch (j)
{
case 0: return cosinus_;
case 1: return -sinus_;
default: return FT(0);
}
case 1: switch (j)
{
case 0: return sinus_;
case 1: return cosinus_;
default: return FT(0);
}
case 2: switch (j)
{
case 0: return FT(0);
case 1: return FT(0);
default: return FT(1);
}
}
return FT(0);
}
std::ostream &print(std::ostream &os) const
{
os << "Aff_transformationC2(" << sinus_ << ", " << cosinus_ << ")";
return os;
}
private:
FT sinus_, cosinus_;
};
} //namespace CGAL
#endif // CGAL_CARTESIAN_ROTATION_REP_2_H
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