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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_3.h $
// $Id: include/CGAL/Cartesian/Translation_rep_3.h b26b07a1242 $
// SPDX-License-Identifier: LGPL-3.0-or-later OR LicenseRef-Commercial
//
//
// Author(s) : Herve Bronnimann
#ifndef CGAL_CARTESIAN_TRANSLATION_REP_3_H
#define CGAL_CARTESIAN_TRANSLATION_REP_3_H
namespace CGAL {
template < class R >
class Translation_repC3 : public Aff_transformation_rep_baseC3<R>
{
friend class Aff_transformation_repC3<R>;
friend class Scaling_repC3<R>;
public:
typedef typename R::FT FT;
typedef Aff_transformation_rep_baseC3<R> Transformation_base_3;
typedef Aff_transformation_repC3<R> Transformation_3;
typedef Translation_repC3<R> Translation_3;
typedef Scaling_repC3<R> Scaling_3;
typedef typename Transformation_base_3::Point_3 Point_3;
typedef typename Transformation_base_3::Vector_3 Vector_3;
typedef typename Transformation_base_3::Direction_3 Direction_3;
typedef typename Transformation_base_3::Plane_3 Plane_3;
typedef typename Transformation_base_3::Aff_transformation_3
Aff_transformation_3;
Translation_repC3() {}
Translation_repC3(const Vector_3 &tv) : translationvector_(tv) {}
virtual ~Translation_repC3() {}
virtual Point_3 transform(const Point_3 &p) const
{
return p + translationvector_;
}
virtual Vector_3 transform(const Vector_3 &v) const
{
return v;
}
virtual Direction_3 transform(const Direction_3 &d) const
{
return d;
}
virtual Plane_3 transform(const Plane_3 &p) const
{
// direction ( which is (p.a(), p.b(), p.c())) does not change
return Plane_3(p.a(),
p.b(),
p.c(),
p.d() - ( p.a()*translationvector_.x() + p.b()*translationvector_.y() + p.c()*translationvector_.z()));
}
virtual Aff_transformation_3 operator*(const Transformation_base_3 &t) const
{
return t.compose(*this);
}
virtual Aff_transformation_3 compose(const Transformation_3 &t) const
{
return Aff_transformation_3(t.t11,
t.t12,
t.t13,
t.t11 * translationvector_.x()
+ t.t12 * translationvector_.y()
+ t.t13 * translationvector_.z() + t.t14,
t.t21,
t.t22,
t.t23,
t.t21 * translationvector_.x()
+ t.t22 * translationvector_.y()
+ t.t23 * translationvector_.z() + t.t24,
t.t31,
t.t32,
t.t33,
t.t31 * translationvector_.x()
+ t.t32 * translationvector_.y()
+ t.t33 * translationvector_.z() + t.t34);
}
virtual Aff_transformation_3 compose(const Translation_3 &t) const
{
return Aff_transformation_3(TRANSLATION,
translationvector_ + t.translationvector_);
}
virtual Aff_transformation_3 compose(const Scaling_3 &t) const
{
FT ft0(0);
return Aff_transformation_3(t.scalefactor_,
ft0,
ft0,
t.scalefactor_ * translationvector_.x(),
ft0,
t.scalefactor_,
ft0,
t.scalefactor_ * translationvector_.y(),
ft0,
ft0,
t.scalefactor_,
t.scalefactor_ * translationvector_.z());
}
virtual Aff_transformation_3 inverse() const
{
return Aff_transformation_3(TRANSLATION, - translationvector_);
}
virtual Aff_transformation_3 transpose() const
{
return Aff_transformation_3(TRANSLATION, translationvector_);
}
virtual bool is_even() const
{
return true;
}
virtual bool is_translation() const
{
return true;
}
virtual FT cartesian(int i, int j) const
{
if (j==i) return FT(1);
if (j==3) return translationvector_[i];
return FT(0);
}
virtual std::ostream &print(std::ostream &os) const
{
os << "Aff_transformationC3(VectorC3("<< translationvector_.x() << ","
<< translationvector_.y() << ","
<< translationvector_.z() << "))\n";
return os;
}
private:
Vector_3 translationvector_;
};
} //namespace CGAL
#endif // CGAL_CARTESIAN_TRANSLATION_REP_3_H
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