150 lines
4.7 KiB
C++
150 lines
4.7 KiB
C++
// Copyright (c) 2000
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// Utrecht University (The Netherlands),
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// ETH Zurich (Switzerland),
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// INRIA Sophia-Antipolis (France),
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// Max-Planck-Institute Saarbruecken (Germany),
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// and Tel-Aviv University (Israel). All rights reserved.
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//
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// This file is part of CGAL (www.cgal.org)
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//
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// $URL: https://github.com/CGAL/cgal/blob/v5.1/Cartesian_kernel/include/CGAL/Cartesian/Translation_rep_2.h $
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// $Id: Translation_rep_2.h 0779373 2020-03-26T13:31:46+01:00 Sébastien Loriot
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// SPDX-License-Identifier: LGPL-3.0-or-later OR LicenseRef-Commercial
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//
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//
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// Author(s) : Andreas Fabri, Herve Bronnimann
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#ifndef CGAL_CARTESIAN_TRANSLATION_REP_2_H
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#define CGAL_CARTESIAN_TRANSLATION_REP_2_H
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#include <CGAL/Cartesian/Aff_transformation_rep_2.h>
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namespace CGAL {
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template < class R >
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class Translation_repC2 : public Aff_transformation_rep_baseC2<R>
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{
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friend class Aff_transformation_repC2<R>;
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friend class Rotation_repC2<R>;
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friend class Scaling_repC2<R>;
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friend class Reflection_repC2<R>;
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public:
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typedef typename R::FT FT;
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typedef Aff_transformation_rep_baseC2<R> Aff_t_base;
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typedef Aff_transformation_repC2<R> Transformation;
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typedef Translation_repC2<R> Translation;
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typedef Rotation_repC2<R> Rotation;
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typedef Reflection_repC2<R> Reflection;
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typedef Scaling_repC2<R> Scaling;
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typedef typename Aff_t_base::Point_2 Point_2;
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typedef typename Aff_t_base::Vector_2 Vector_2;
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typedef typename Aff_t_base::Direction_2 Direction_2;
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typedef typename Aff_t_base::Aff_transformation_2 Aff_transformation_2;
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Translation_repC2() {}
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Translation_repC2(const Vector_2 &tv)
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: translationvector_(tv)
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{}
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Point_2 transform(const Point_2 &p) const
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{
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typename R::Construct_translated_point_2 translated_point;
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return translated_point(p, translationvector_);
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}
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Vector_2 transform(const Vector_2 &v) const { return v; }
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Direction_2 transform(const Direction_2 &d) const { return d; }
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Aff_transformation_2 operator*(const Aff_t_base &t) const
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{
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return t.compose(*this);
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}
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Aff_transformation_2 compose(const Translation &t) const
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{
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return Aff_transformation_2(TRANSLATION,
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translationvector_ + t.translationvector_);
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}
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Aff_transformation_2 compose(const Rotation &t) const
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{
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return Aff_transformation_2(t.cosinus_,
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-t.sinus_,
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t.cosinus_*translationvector_.x() -
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t.sinus_*translationvector_.y(),
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t.sinus_,
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t.cosinus_,
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t.sinus_*translationvector_.x() +
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t.cosinus_*translationvector_.y());
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}
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Aff_transformation_2 compose(const Scaling &t) const
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{
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return Aff_transformation_2(t.scalefactor_,
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FT(0),
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t.scalefactor_*translationvector_.x(),
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FT(0),
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t.scalefactor_,
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t.scalefactor_*translationvector_.y());
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}
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Aff_transformation_2 compose(const Transformation &t) const
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{
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return Aff_transformation_2(t.t11,
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t.t12,
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t.t11 * translationvector_.x()
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+ t.t12 * translationvector_.y()
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+ t.t13,
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t.t21,
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t.t22,
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t.t21 * translationvector_.x()
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+ t.t22*translationvector_.y()
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+ t.t23);
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}
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Aff_transformation_2 compose(const Reflection &r) const
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{
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return Aff_transformation_2(r.cosinus_, r.sinus_,
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r.cosinus_*(translationvector_.x()-r.t.x())+r.sinus_*(translationvector_.y() - r.t.y()) +r.t.x(),
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r.sinus_, -r.cosinus_,
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r.sinus_*(translationvector_.x()-r.t.x())-r.cosinus_*(translationvector_.y() - r.t.y())+r.t.y());
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}
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Aff_transformation_2 inverse() const
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{
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return Aff_transformation_2(TRANSLATION, - translationvector_);
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}
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bool is_even() const
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{
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return true;
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}
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FT cartesian(int i, int j) const
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{
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if (j==i) return FT(1);
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if (j==2) return translationvector_[i];
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return FT(0);
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}
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std::ostream &print(std::ostream &os) const
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{
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os << "Aff_transformationC2(VectorC2(" << translationvector_.x() << ", "
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<< translationvector_.y() << "))";
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return os;
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}
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private:
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Vector_2 translationvector_;
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};
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} //namespace CGAL
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#endif // CGAL_CARTESIAN_TRANSLATION_REP_2_H
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