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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/Translation_rep_2.h $
// $Id: include/CGAL/Cartesian/Translation_rep_2.h b26b07a1242 $
// SPDX-License-Identifier: LGPL-3.0-or-later OR LicenseRef-Commercial
//
//
// Author(s) : Andreas Fabri, Herve Bronnimann
#ifndef CGAL_CARTESIAN_TRANSLATION_REP_2_H
#define CGAL_CARTESIAN_TRANSLATION_REP_2_H
#include <CGAL/Cartesian/Aff_transformation_rep_2.h>
namespace CGAL {
template < class R >
class Translation_repC2 : public Aff_transformation_rep_baseC2<R>
{
friend class Aff_transformation_repC2<R>;
friend class Rotation_repC2<R>;
friend class Scaling_repC2<R>;
friend class Reflection_repC2<R>;
public:
typedef typename R::FT FT;
typedef Aff_transformation_rep_baseC2<R> Aff_t_base;
typedef Aff_transformation_repC2<R> Transformation;
typedef Translation_repC2<R> Translation;
typedef Rotation_repC2<R> Rotation;
typedef Reflection_repC2<R> Reflection;
typedef Scaling_repC2<R> Scaling;
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;
Translation_repC2() {}
Translation_repC2(const Vector_2 &tv)
: translationvector_(tv)
{}
Point_2 transform(const Point_2 &p) const
{
typename R::Construct_translated_point_2 translated_point;
return translated_point(p, translationvector_);
}
Vector_2 transform(const Vector_2 &v) const { return v; }
Direction_2 transform(const Direction_2 &d) const { return d; }
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(TRANSLATION,
translationvector_ + t.translationvector_);
}
Aff_transformation_2 compose(const Rotation &t) const
{
return Aff_transformation_2(t.cosinus_,
-t.sinus_,
t.cosinus_*translationvector_.x() -
t.sinus_*translationvector_.y(),
t.sinus_,
t.cosinus_,
t.sinus_*translationvector_.x() +
t.cosinus_*translationvector_.y());
}
Aff_transformation_2 compose(const Scaling &t) const
{
return Aff_transformation_2(t.scalefactor_,
FT(0),
t.scalefactor_*translationvector_.x(),
FT(0),
t.scalefactor_,
t.scalefactor_*translationvector_.y());
}
Aff_transformation_2 compose(const Transformation &t) const
{
return Aff_transformation_2(t.t11,
t.t12,
t.t11 * translationvector_.x()
+ t.t12 * translationvector_.y()
+ t.t13,
t.t21,
t.t22,
t.t21 * translationvector_.x()
+ t.t22*translationvector_.y()
+ t.t23);
}
Aff_transformation_2 compose(const Reflection &r) const
{
return Aff_transformation_2(r.cosinus_, r.sinus_,
r.cosinus_*(translationvector_.x()-r.t.x())+r.sinus_*(translationvector_.y() - r.t.y()) +r.t.x(),
r.sinus_, -r.cosinus_,
r.sinus_*(translationvector_.x()-r.t.x())-r.cosinus_*(translationvector_.y() - r.t.y())+r.t.y());
}
Aff_transformation_2 inverse() const
{
return Aff_transformation_2(TRANSLATION, - translationvector_);
}
bool is_even() const
{
return true;
}
virtual bool is_translation() const
{
return true;
}
FT cartesian(int i, int j) const
{
if (j==i) return FT(1);
if (j==2) return translationvector_[i];
return FT(0);
}
std::ostream &print(std::ostream &os) const
{
os << "Aff_transformationC2(VectorC2(" << translationvector_.x() << ", "
<< translationvector_.y() << "))";
return os;
}
private:
Vector_2 translationvector_;
};
} //namespace CGAL
#endif // CGAL_CARTESIAN_TRANSLATION_REP_2_H
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