377 lines
9.2 KiB
C++
377 lines
9.2 KiB
C++
// Copyright (c) 1999
|
|
// 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/v5.1/Kernel_23/include/CGAL/Vector_3.h $
|
|
// $Id: Vector_3.h 8bb22d5 2020-03-26T14:23:37+01:00 Sébastien Loriot
|
|
// SPDX-License-Identifier: LGPL-3.0-or-later OR LicenseRef-Commercial
|
|
//
|
|
//
|
|
// Author(s) : Andreas Fabri, Stefan Schirra
|
|
|
|
#ifndef CGAL_VECTOR_3_H
|
|
#define CGAL_VECTOR_3_H
|
|
|
|
#include <CGAL/Origin.h>
|
|
#include <CGAL/Kernel/mpl.h>
|
|
#include <CGAL/representation_tags.h>
|
|
#include <CGAL/kernel_assertions.h>
|
|
#include <CGAL/assertions.h>
|
|
#include <boost/type_traits/is_same.hpp>
|
|
#include <CGAL/Kernel/Return_base_tag.h>
|
|
#include <CGAL/Dimension.h>
|
|
#include <CGAL/result_of.h>
|
|
#include <CGAL/IO/io.h>
|
|
|
|
namespace CGAL {
|
|
|
|
template <class R_>
|
|
class Vector_3 : public R_::Kernel_base::Vector_3
|
|
{
|
|
typedef typename R_::RT RT;
|
|
// https://doc.cgal.org/latest/Manual/devman_code_format.html#secprogramming_conventions
|
|
typedef typename R_::FT FT_;
|
|
typedef typename R_::Segment_3 Segment_3;
|
|
typedef typename R_::Ray_3 Ray_3;
|
|
typedef typename R_::Line_3 Line_3;
|
|
typedef typename R_::Point_3 Point_3;
|
|
typedef typename R_::Direction_3 Direction_3;
|
|
typedef typename R_::Aff_transformation_3 Aff_transformation_3;
|
|
|
|
typedef Vector_3 Self;
|
|
CGAL_static_assertion((boost::is_same<Self, typename R_::Vector_3>::value));
|
|
|
|
public:
|
|
|
|
typedef Dimension_tag<3> Ambient_dimension;
|
|
typedef Dimension_tag<0> Feature_dimension;
|
|
|
|
typedef typename R_::Cartesian_const_iterator_3 Cartesian_const_iterator;
|
|
typedef typename R_::Kernel_base::Vector_3 Rep;
|
|
|
|
const Rep& rep() const
|
|
{
|
|
return *this;
|
|
}
|
|
|
|
Rep& rep()
|
|
{
|
|
return *this;
|
|
}
|
|
|
|
typedef R_ R;
|
|
|
|
Vector_3() {}
|
|
|
|
Vector_3(const Rep& v)
|
|
: Rep(v) {}
|
|
|
|
Vector_3(const Point_3& a, const Point_3& b)
|
|
: Rep(typename R::Construct_vector_3()(Return_base_tag(), a, b)) {}
|
|
|
|
explicit Vector_3(const Segment_3& s)
|
|
: Rep(typename R::Construct_vector_3()(Return_base_tag(), s)) {}
|
|
|
|
explicit Vector_3(const Ray_3& r)
|
|
: Rep(typename R::Construct_vector_3()(Return_base_tag(), r)) {}
|
|
|
|
explicit Vector_3(const Line_3& l)
|
|
: Rep(typename R::Construct_vector_3()(Return_base_tag(), l)) {}
|
|
|
|
Vector_3(const Null_vector& v)
|
|
: Rep(typename R::Construct_vector_3()(Return_base_tag(), v)) {}
|
|
|
|
template < typename T1, typename T2, typename T3 >
|
|
Vector_3(const T1 &x, const T2 &y, const T3 &z)
|
|
: Rep(typename R::Construct_vector_3()(Return_base_tag(), x, y, z)) {}
|
|
|
|
Vector_3(const RT& x, const RT& y, const RT& z, const RT& w)
|
|
: Rep(typename R::Construct_vector_3()(Return_base_tag(), x, y, z, w)) {}
|
|
|
|
friend void swap(Self& a, Self& b)
|
|
#ifdef __cpp_lib_is_swappable
|
|
noexcept(std::is_nothrow_swappable_v<Rep>)
|
|
#endif
|
|
{
|
|
using std::swap;
|
|
swap(a.rep(), b.rep());
|
|
}
|
|
|
|
Direction_3 direction() const
|
|
{
|
|
return R().construct_direction_3_object()(*this);
|
|
}
|
|
|
|
Vector_3 transform(const Aff_transformation_3 &t) const
|
|
{
|
|
return t.transform(*this);
|
|
}
|
|
|
|
Vector_3 operator-() const
|
|
{
|
|
return R().construct_opposite_vector_3_object()(*this);
|
|
}
|
|
|
|
Vector_3 operator-(const Vector_3& v) const
|
|
{
|
|
return R().construct_difference_of_vectors_3_object()(*this,v);
|
|
}
|
|
|
|
Vector_3& operator-=(const Vector_3& v)
|
|
{
|
|
*this = R().construct_difference_of_vectors_3_object()(*this,v);
|
|
return *this;
|
|
}
|
|
|
|
Vector_3 operator+(const Vector_3& v) const
|
|
{
|
|
return R().construct_sum_of_vectors_3_object()(*this,v);
|
|
}
|
|
|
|
Vector_3& operator+=(const Vector_3& v)
|
|
{
|
|
*this = R().construct_sum_of_vectors_3_object()(*this,v);
|
|
return *this;
|
|
}
|
|
|
|
Vector_3 operator/(const RT& c) const
|
|
{
|
|
return R().construct_divided_vector_3_object()(*this,c);
|
|
}
|
|
|
|
Vector_3& operator/=(const RT& c)
|
|
{
|
|
*this = R().construct_divided_vector_3_object()(*this,c);
|
|
return *this;
|
|
}
|
|
|
|
Vector_3 operator/(const typename First_if_different<FT_,RT>::Type & c) const
|
|
{
|
|
return R().construct_divided_vector_3_object()(*this,c);
|
|
}
|
|
|
|
Vector_3& operator/=(const typename First_if_different<FT_,RT>::Type & c)
|
|
{
|
|
*this = R().construct_divided_vector_3_object()(*this,c);
|
|
return *this;
|
|
}
|
|
|
|
Vector_3& operator*=(const RT& c)
|
|
{
|
|
*this = R().construct_scaled_vector_3_object()(*this,c);
|
|
return *this;
|
|
}
|
|
|
|
Vector_3& operator*=(const typename First_if_different<FT_,RT>::Type & c)
|
|
{
|
|
*this = R().construct_scaled_vector_3_object()(*this,c);
|
|
return *this;
|
|
}
|
|
|
|
typename cpp11::result_of<typename R::Compute_x_3(Vector_3)>::type
|
|
x() const
|
|
{
|
|
return R().compute_x_3_object()(*this);
|
|
}
|
|
|
|
typename cpp11::result_of<typename R::Compute_y_3(Vector_3)>::type
|
|
y() const
|
|
{
|
|
return R().compute_y_3_object()(*this);
|
|
}
|
|
|
|
typename cpp11::result_of<typename R::Compute_z_3(Vector_3)>::type
|
|
z() const
|
|
{
|
|
return R().compute_z_3_object()(*this);
|
|
}
|
|
|
|
typename cpp11::result_of<typename R::Compute_hx_3(Vector_3)>::type
|
|
hx() const
|
|
{
|
|
return R().compute_hx_3_object()(*this);
|
|
}
|
|
|
|
typename cpp11::result_of<typename R::Compute_hy_3(Vector_3)>::type
|
|
hy() const
|
|
{
|
|
return R().compute_hy_3_object()(*this);
|
|
}
|
|
|
|
typename cpp11::result_of<typename R::Compute_hz_3(Vector_3)>::type
|
|
hz() const
|
|
{
|
|
return R().compute_hz_3_object()(*this);
|
|
}
|
|
|
|
typename cpp11::result_of<typename R::Compute_hw_3(Vector_3)>::type
|
|
hw() const
|
|
{
|
|
return R().compute_hw_3_object()(*this);
|
|
}
|
|
|
|
typename cpp11::result_of<typename R::Compute_x_3(Vector_3)>::type
|
|
cartesian(int i) const
|
|
{
|
|
CGAL_kernel_precondition( (i == 0) || (i == 1) || (i == 2) );
|
|
if (i==0) return x();
|
|
if (i==1) return y();
|
|
return z();
|
|
}
|
|
|
|
typename cpp11::result_of<typename R::Compute_hw_3(Vector_3)>::type
|
|
homogeneous(int i) const
|
|
{
|
|
CGAL_kernel_precondition( (i >= 0) || (i <= 3) );
|
|
if (i==0) return hx();
|
|
if (i==1) return hy();
|
|
if (i==2) return hz();
|
|
return hw();
|
|
}
|
|
|
|
int dimension() const
|
|
{
|
|
return 3;
|
|
}
|
|
|
|
typename cpp11::result_of<typename R::Compute_x_3(Vector_3)>::type
|
|
operator[](int i) const
|
|
{
|
|
return cartesian(i);
|
|
}
|
|
|
|
Cartesian_const_iterator cartesian_begin() const
|
|
{
|
|
return typename R::Construct_cartesian_const_iterator_3()(*this);
|
|
}
|
|
|
|
Cartesian_const_iterator cartesian_end() const
|
|
{
|
|
return typename R::Construct_cartesian_const_iterator_3()(*this,3);
|
|
}
|
|
|
|
typename cpp11::result_of<typename R::Compute_squared_length_3(Vector_3)>::type
|
|
squared_length() const
|
|
{
|
|
return R().compute_squared_length_3_object()(*this);
|
|
}
|
|
|
|
};
|
|
|
|
|
|
template <class R >
|
|
std::ostream&
|
|
insert(std::ostream& os, const Vector_3<R>& v, const Cartesian_tag&)
|
|
{
|
|
switch(get_mode(os)) {
|
|
case IO::ASCII :
|
|
return os << v.x() << ' ' << v.y() << ' ' << v.z();
|
|
case IO::BINARY :
|
|
write(os, v.x());
|
|
write(os, v.y());
|
|
write(os, v.z());
|
|
return os;
|
|
default:
|
|
os << "VectorC3(" << v.x() << ", " << v.y() << ", " << v.z() << ")";
|
|
return os;
|
|
}
|
|
}
|
|
|
|
template <class R >
|
|
std::ostream&
|
|
insert(std::ostream& os, const Vector_3<R>& v, const Homogeneous_tag&)
|
|
{
|
|
switch(get_mode(os))
|
|
{
|
|
case IO::ASCII :
|
|
return os << v.hx() << ' ' << v.hy() << ' ' << v.hz() << ' ' << v.hw();
|
|
case IO::BINARY :
|
|
write(os, v.hx());
|
|
write(os, v.hy());
|
|
write(os, v.hz());
|
|
write(os, v.hw());
|
|
return os;
|
|
default:
|
|
return os << "VectorH3(" << v.hx() << ", "
|
|
<< v.hy() << ", "
|
|
<< v.hz() << ", "
|
|
<< v.hw() << ')';
|
|
}
|
|
}
|
|
|
|
template < class R >
|
|
std::ostream&
|
|
operator<<(std::ostream& os, const Vector_3<R>& v)
|
|
{
|
|
return insert(os, v, typename R::Kernel_tag() );
|
|
}
|
|
|
|
|
|
template <class R >
|
|
std::istream&
|
|
extract(std::istream& is, Vector_3<R>& v, const Cartesian_tag&)
|
|
{
|
|
typename R::FT x(0), y(0), z(0);
|
|
switch(get_mode(is)) {
|
|
case IO::ASCII :
|
|
is >> iformat(x) >> iformat(y) >> iformat(z);
|
|
break;
|
|
case IO::BINARY :
|
|
read(is, x);
|
|
read(is, y);
|
|
read(is, z);
|
|
break;
|
|
default:
|
|
is.setstate(std::ios::failbit);
|
|
std::cerr << "" << std::endl;
|
|
std::cerr << "Stream must be in ascii or binary mode" << std::endl;
|
|
break;
|
|
}
|
|
if (is)
|
|
v = Vector_3<R>(x, y, z);
|
|
return is;
|
|
}
|
|
|
|
template <class R >
|
|
std::istream&
|
|
extract(std::istream& is, Vector_3<R>& v, const Homogeneous_tag&)
|
|
{
|
|
typename R::RT hx, hy, hz, hw;
|
|
switch(get_mode(is))
|
|
{
|
|
case IO::ASCII :
|
|
is >> hx >> hy >> hz >> hw;
|
|
break;
|
|
case IO::BINARY :
|
|
read(is, hx);
|
|
read(is, hy);
|
|
read(is, hz);
|
|
read(is, hw);
|
|
break;
|
|
default:
|
|
is.setstate(std::ios::failbit);
|
|
std::cerr << "" << std::endl;
|
|
std::cerr << "Stream must be in ascii or binary mode" << std::endl;
|
|
break;
|
|
}
|
|
if (is)
|
|
v = Vector_3<R>(hx, hy, hz, hw);
|
|
return is;
|
|
}
|
|
|
|
template < class R >
|
|
std::istream&
|
|
operator>>(std::istream& is, Vector_3<R>& v)
|
|
{
|
|
return extract(is, v, typename R::Kernel_tag() );
|
|
}
|
|
|
|
} //namespace CGAL
|
|
|
|
#endif // CGAL_VECTOR_3_H
|