395 lines
9.1 KiB
C++
395 lines
9.1 KiB
C++
// Copyright (c) 1999
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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/Kernel_23/include/CGAL/Vector_2.h $
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// $Id: Vector_2.h 8bb22d5 2020-03-26T14:23:37+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, Stefan Schirra
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#ifndef CGAL_VECTOR_2_H
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#define CGAL_VECTOR_2_H
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#include <CGAL/Origin.h>
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#include <CGAL/Kernel/mpl.h>
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#include <CGAL/assertions.h>
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#include <boost/type_traits/is_same.hpp>
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#include <CGAL/Kernel/Return_base_tag.h>
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#include <CGAL/kernel_assertions.h>
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#include <CGAL/representation_tags.h>
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#include <CGAL/Dimension.h>
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#include <CGAL/result_of.h>
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#include <CGAL/IO/io.h>
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namespace CGAL {
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template <class R_>
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class Vector_2 : public R_::Kernel_base::Vector_2
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{
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typedef typename R_::RT RT;
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typedef typename R_::FT FT;
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typedef typename R_::Segment_2 Segment_2;
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typedef typename R_::Ray_2 Ray_2;
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typedef typename R_::Line_2 Line_2;
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typedef typename R_::Point_2 Point_2;
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typedef typename R_::Direction_2 Direction_2;
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typedef typename R_::Aff_transformation_2 Aff_transformation_2;
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typedef typename R_::Kernel_base::Vector_2 RVector_2;
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typedef Vector_2 Self;
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CGAL_static_assertion((boost::is_same<Self, typename R_::Vector_2>::value));
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public:
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typedef Dimension_tag<2> Ambient_dimension;
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typedef Dimension_tag<0> Feature_dimension;
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typedef RVector_2 Rep;
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typedef typename R_::Cartesian_const_iterator_2 Cartesian_const_iterator;
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const Rep& rep() const noexcept
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{
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return *this;
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}
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Rep& rep() noexcept
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{
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return *this;
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}
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typedef R_ R;
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Vector_2() {}
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Vector_2(const RVector_2& v)
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: RVector_2(v) {}
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Vector_2(const Point_2& a, const Point_2& b)
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: RVector_2(typename R::Construct_vector_2()(Return_base_tag(), a, b)) {}
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explicit Vector_2(const Segment_2 &s)
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: RVector_2(typename R::Construct_vector_2()(Return_base_tag(), s)) {}
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explicit Vector_2(const Ray_2 &r)
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: RVector_2(typename R::Construct_vector_2()(Return_base_tag(), r)) {}
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explicit Vector_2(const Line_2 &l)
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: RVector_2(typename R::Construct_vector_2()(Return_base_tag(), l)) {}
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Vector_2(const Null_vector &v)
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: RVector_2(typename R::Construct_vector_2()(Return_base_tag(), v)) {}
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template < typename T1, typename T2 >
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Vector_2(const T1 &x, const T2 &y)
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: RVector_2(typename R::Construct_vector_2()(Return_base_tag(), x,y)) {}
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Vector_2(const RT &x, const RT &y, const RT &w)
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: RVector_2(typename R::Construct_vector_2()(Return_base_tag(), x,y,w)) {}
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friend void swap(Self& a, Self& b)
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#ifdef __cpp_lib_is_swappable
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noexcept(std::is_nothrow_swappable_v<Rep>)
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#endif
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{
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using std::swap;
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swap(a.rep(), b.rep());
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}
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typename cpp11::result_of<typename R::Compute_x_2(Vector_2)>::type
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x() const
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{
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return R().compute_x_2_object()(*this);
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}
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typename cpp11::result_of<typename R::Compute_y_2(Vector_2)>::type
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y() const
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{
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return R().compute_y_2_object()(*this);
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}
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typename cpp11::result_of<typename R::Compute_y_2(Vector_2)>::type
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cartesian(int i) const
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{
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CGAL_kernel_precondition( (i == 0) || (i == 1) );
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return (i==0) ? x() : y();
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}
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typename cpp11::result_of<typename R::Compute_x_2(Vector_2)>::type
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operator[](int i) const
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{
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return cartesian(i);
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}
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Cartesian_const_iterator cartesian_begin() const
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{
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return typename R::Construct_cartesian_const_iterator_2()(*this);
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}
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Cartesian_const_iterator cartesian_end() const
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{
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return typename R::Construct_cartesian_const_iterator_2()(*this,2);
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}
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typename cpp11::result_of<typename R::Compute_hx_2(Vector_2)>::type
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hx() const
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{
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return R().compute_hx_2_object()(*this);
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}
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typename cpp11::result_of<typename R::Compute_hy_2(Vector_2)>::type
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hy() const
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{
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return R().compute_hy_2_object()(*this);
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}
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typename cpp11::result_of<typename R::Compute_hw_2(Vector_2)>::type
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hw() const
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{
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return R().compute_hw_2_object()(*this);
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}
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typename cpp11::result_of<typename R::Compute_hx_2(Vector_2)>::type
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homogeneous(int i) const
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{
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CGAL_kernel_precondition( (i >= 0) || (i <= 2) );
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return (i==0) ? hx() : (i==1)? hy() : hw();
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}
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int dimension() const
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{
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return 2;
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}
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Vector_2 operator-() const
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{
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return R().construct_opposite_vector_2_object()(*this);
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}
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Vector_2 operator-(const Vector_2& v) const
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{
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return R().construct_difference_of_vectors_2_object()(*this,v);
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}
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Vector_2& operator-=(const Vector_2& v)
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{
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*this = R().construct_difference_of_vectors_2_object()(*this,v);
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return *this;
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}
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Vector_2 operator+(const Vector_2& v) const
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{
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return R().construct_sum_of_vectors_2_object()(*this,v);
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}
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Vector_2& operator+=(const Vector_2& v)
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{
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*this = R().construct_sum_of_vectors_2_object()(*this,v);
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return *this;
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}
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Vector_2 operator/(const RT& c) const
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{
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return R().construct_divided_vector_2_object()(*this,c);
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}
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Vector_2& operator/=(const RT& c)
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{
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*this = R().construct_divided_vector_2_object()(*this,c);
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return *this;
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}
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Vector_2 operator/(const typename First_if_different<FT,RT>::Type & c) const
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{
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return R().construct_divided_vector_2_object()(*this,c);
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}
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Vector_2& operator/=(const typename First_if_different<FT,RT>::Type & c)
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{
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*this = R().construct_divided_vector_2_object()(*this,c);
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return *this;
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}
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Vector_2& operator*=(const RT& c)
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{
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*this = R().construct_scaled_vector_2_object()(*this,c);
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return *this;
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}
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Vector_2& operator*=(const typename First_if_different<FT,RT>::Type & c)
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{
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*this = R().construct_scaled_vector_2_object()(*this,c);
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return *this;
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}
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FT squared_length() const
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{
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return R().compute_squared_length_2_object()(*this);
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}
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Direction_2 direction() const
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{
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return R().construct_direction_2_object()(*this);
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}
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Vector_2 perpendicular(const Orientation &o) const
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{
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return R().construct_perpendicular_vector_2_object()(*this,o);
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}
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Vector_2 transform(const Aff_transformation_2 &t) const
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{
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return t.transform(*this);
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}
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};
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template < class R >
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inline
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bool
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operator==(const Vector_2<R> &v, const Null_vector &n)
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{
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return R().equal_2_object()(v, n);
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}
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template < class R >
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inline
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bool
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operator==(const Null_vector &n, const Vector_2<R> &v)
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{
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return v == n;
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}
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template < class R >
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inline
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bool
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operator!=(const Vector_2<R> &v, const Null_vector &n)
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{
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return !(v == n);
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}
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template < class R >
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inline
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bool
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operator!=(const Null_vector &n, const Vector_2<R> &v)
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{
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return !(v == n);
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}
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template <class R >
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std::ostream&
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insert(std::ostream& os, const Vector_2<R>& v, const Cartesian_tag&)
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{
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switch(get_mode(os)) {
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case IO::ASCII :
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return os << v.x() << ' ' << v.y();
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case IO::BINARY :
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write(os, v.x());
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write(os, v.y());
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return os;
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default:
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return os << "VectorC2(" << v.x() << ", " << v.y() << ')';
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}
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}
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template <class R >
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std::ostream&
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insert(std::ostream& os, const Vector_2<R>& v, const Homogeneous_tag&)
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{
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switch(get_mode(os))
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{
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case IO::ASCII :
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return os << v.hx() << ' ' << v.hy() << ' ' << v.hw();
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case IO::BINARY :
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write(os, v.hx());
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write(os, v.hy());
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write(os, v.hw());
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return os;
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default:
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return os << "VectorH2(" << v.hx() << ", "
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<< v.hy() << ", "
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<< v.hw() << ')';
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}
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}
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template < class R >
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std::ostream&
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operator<<(std::ostream& os, const Vector_2<R>& v)
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{
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return insert(os, v, typename R::Kernel_tag() );
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}
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template <class R >
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std::istream&
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extract(std::istream& is, Vector_2<R>& v, const Cartesian_tag&)
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{
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typename R::FT x(0), y(0);
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switch(get_mode(is)) {
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case IO::ASCII :
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is >> iformat(x) >> iformat(y);
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break;
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case IO::BINARY :
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read(is, x);
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read(is, y);
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break;
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default:
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is.setstate(std::ios::failbit);
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std::cerr << "" << std::endl;
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std::cerr << "Stream must be in ascii or binary mode" << std::endl;
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break;
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}
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if (is)
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v = Vector_2<R>(x, y);
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return is;
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}
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template <class R >
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std::istream&
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extract(std::istream& is, Vector_2<R>& v, const Homogeneous_tag&)
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{
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typename R::RT hx, hy, hw;
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switch(get_mode(is))
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{
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case IO::ASCII :
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is >> hx >> hy >> hw;
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break;
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case IO::BINARY :
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read(is, hx);
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read(is, hy);
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read(is, hw);
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break;
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default:
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is.setstate(std::ios::failbit);
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std::cerr << "" << std::endl;
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std::cerr << "Stream must be in ascii or binary mode" << std::endl;
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break;
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}
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v = Vector_2<R>(hx, hy, hw);
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return is;
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}
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template < class R >
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std::istream&
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operator>>(std::istream& is, Vector_2<R>& v)
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{
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return extract(is, v, typename R::Kernel_tag() );
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}
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} //namespace CGAL
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#endif // CGAL_VECTOR_2_H
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