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// 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/v6.1/Homogeneous_kernel/include/CGAL/Homogeneous/DirectionH3.h $ // $Id: include/CGAL/Homogeneous/DirectionH3.h b26b07a1242 $ // SPDX-License-Identifier: LGPL-3.0-or-later OR LicenseRef-Commercial // // // Author(s) : Stefan Schirra #ifndef CGAL_HOMOGENEOUS_DIRECTION_3_H #define CGAL_HOMOGENEOUS_DIRECTION_3_H #include #include #include #include namespace CGAL { template < class R_ > class DirectionH3 { typedef typename R_::RT RT; typedef typename R_::FT FT; typedef typename R_::Point_3 Point_3; typedef typename R_::Vector_3 Vector_3; typedef typename R_::Segment_3 Segment_3; typedef typename R_::Line_3 Line_3; typedef typename R_::Ray_3 Ray_3; typedef std::array Rep; typedef typename R_::template Handle::type Base; Base base; public: typedef R_ R; DirectionH3() {} //DirectionH3(const Point_3 & p ) //: base(p) {} DirectionH3(const Vector_3 & v ) { *this = v.rep().direction(); } DirectionH3(const Line_3 & l ) { *this = l.rep().direction(); } DirectionH3(const Ray_3 & r ) { *this = r.rep().direction(); } DirectionH3(const Segment_3 & s ) { *this = s.rep().direction(); } // the fourth argument is not documented. Should go away ? DirectionH3(const RT& x, const RT& y, const RT& z, const RT& w = RT(1) ) : base( w >= RT(0) ? CGAL::make_array(x, y, z, w) : CGAL::make_array(-x, -y, -z, -w) ) {} typename R::Boolean is_degenerate() const; typename R::Boolean operator==( const DirectionH3& d) const; typename R::Boolean operator!=( const DirectionH3& d) const; Vector_3 to_vector() const; Vector_3 vector() const { return to_vector(); } const RT & dx() const { return get_pointee_or_identity(base)[0]; } const RT & dy() const { return get_pointee_or_identity(base)[1]; } const RT & dz() const { return get_pointee_or_identity(base)[2]; } const RT & x() const { return get_pointee_or_identity(base)[0]; } const RT & y() const { return get_pointee_or_identity(base)[1]; } const RT & z() const { return get_pointee_or_identity(base)[2]; } const RT & hx() const { return get_pointee_or_identity(base)[0]; } const RT & hy() const { return get_pointee_or_identity(base)[1]; } const RT & hz() const { return get_pointee_or_identity(base)[2]; } }; template CGAL_KERNEL_INLINE typename R::Boolean DirectionH3::operator==( const DirectionH3& d) const { return ( ( hx()*d.hy() == hy()*d.hx() ) &&( hx()*d.hz() == hz()*d.hx() ) &&( hy()*d.hz() == hz()*d.hy() ) &&( CGAL_NTS sign( hx() ) == CGAL_NTS sign( d.hx() ) ) &&( CGAL_NTS sign( hy() ) == CGAL_NTS sign( d.hy() ) ) &&( CGAL_NTS sign( hz() ) == CGAL_NTS sign( d.hz() ) ) ); } template inline typename R::Boolean DirectionH3::operator!=( const DirectionH3& d) const { return !operator==(d); } template CGAL_KERNEL_INLINE typename R::Boolean DirectionH3::is_degenerate() const { return ((hx() == RT(0)) && (hy() == RT(0)) && (hz() == RT(0))); } template inline typename DirectionH3::Vector_3 DirectionH3::to_vector() const { return Vector_3(dx(), dy(), dz(), RT(1)); } template CGAL_KERNEL_INLINE DirectionH3 cross_product( const DirectionH3& d1, const DirectionH3& d2) { return cross_product(d1.to_vector(),d2.to_vector()).direction(); } } //namespace CGAL #endif // CGAL_HOMOGENEOUS_DIRECTION_3_H