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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/Iso_cuboidH3.h $ // $Id: include/CGAL/Homogeneous/Iso_cuboidH3.h b26b07a1242 $ // SPDX-License-Identifier: LGPL-3.0-or-later OR LicenseRef-Commercial // // // Author(s) : Stefan Schirra #ifndef CGAL_ISO_CUBOIDH3_H #define CGAL_ISO_CUBOIDH3_H #include #include #include #include namespace CGAL { template class Iso_cuboidH3 { typedef typename R_::RT RT; typedef typename R_::FT FT; typedef typename R_::Point_3 Point_3; typedef typename R_::Aff_transformation_3 Aff_transformation_3; typedef std::array Rep; typedef typename R_::template Handle::type Base; Base base; public: typedef R_ R; Iso_cuboidH3() {} Iso_cuboidH3(const Point_3& p, const Point_3& q, int) : base{p, q} { CGAL_kernel_assertion(p.x()<=q.x()); CGAL_kernel_assertion(p.y()<=q.y()); CGAL_kernel_assertion(p.z()<=q.z()); } Iso_cuboidH3(const Point_3& p, const Point_3& q); Iso_cuboidH3(const Point_3& left, const Point_3& right, const Point_3& bottom, const Point_3& top, const Point_3& far_, const Point_3& close); Iso_cuboidH3(const RT& min_hx, const RT& min_hy, const RT& min_hz, const RT& max_hx, const RT& max_hy, const RT& max_hz, const RT& hw); Iso_cuboidH3(const RT& min_hx, const RT& min_hy, const RT& min_hz, const RT& max_hx, const RT& max_hy, const RT& max_hz); typename R::Boolean operator==(const Iso_cuboidH3& s) const; typename R::Boolean operator!=(const Iso_cuboidH3& s) const; const Point_3 & min BOOST_PREVENT_MACRO_SUBSTITUTION () const; const Point_3 & max BOOST_PREVENT_MACRO_SUBSTITUTION () const; Point_3 vertex(int i) const; Point_3 operator[](int i) const; Iso_cuboidH3 transform(const Aff_transformation_3& t) const; typename R::Bounded_side bounded_side(const Point_3& p) const; typename R::Boolean has_on(const Point_3& p) const; typename R::Boolean has_on_boundary(const Point_3& p) const; typename R::Boolean has_on_bounded_side(const Point_3& p) const; typename R::Boolean has_on_unbounded_side(const Point_3& p) const; typename R::Boolean is_degenerate() const; FT xmin() const; FT ymin() const; FT zmin() const; FT xmax() const; FT ymax() const; FT zmax() const; FT min_coord(int i) const; FT max_coord(int i) const; FT volume() const; }; template < class R > CGAL_KERNEL_LARGE_INLINE Iso_cuboidH3:: Iso_cuboidH3(const typename Iso_cuboidH3::Point_3& p, const typename Iso_cuboidH3::Point_3& q) { bool px_k_qx = ( p.hx()*q.hw() < q.hx()*p.hw() ); bool py_k_qy = ( p.hy()*q.hw() < q.hy()*p.hw() ); bool pz_k_qz = ( p.hz()*q.hw() < q.hz()*p.hw() ); RT minx; RT miny; RT minz; RT maxx; RT maxy; RT maxz; RT minw = p.hw()*q.hw(); RT maxw = p.hw()*q.hw(); if ( px_k_qx ) { minx = p.hx()*q.hw(); maxx = q.hx()*p.hw(); } else { minx = q.hx()*p.hw(); maxx = p.hx()*q.hw(); } if ( py_k_qy ) { miny = p.hy()*q.hw(); maxy = q.hy()*p.hw(); } else { miny = q.hy()*p.hw(); maxy = p.hy()*q.hw(); } if ( pz_k_qz ) { minz = p.hz()*q.hw(); maxz = q.hz()*p.hw(); } else { minz = q.hz()*p.hw(); maxz = p.hz()*q.hw(); } base = Rep(CGAL::make_array(Point_3(minx, miny, minz, minw), Point_3(maxx, maxy, maxz, maxw))); } template < class R > CGAL_KERNEL_LARGE_INLINE Iso_cuboidH3:: Iso_cuboidH3(const typename Iso_cuboidH3::Point_3& left, const typename Iso_cuboidH3::Point_3& right, const typename Iso_cuboidH3::Point_3& bottom, const typename Iso_cuboidH3::Point_3& top, const typename Iso_cuboidH3::Point_3& far_, const typename Iso_cuboidH3::Point_3& close) : base(CGAL::make_array(Point_3(left.hx() * bottom.hw() * far_.hw(), bottom.hy() * left.hw() * far_.hw(), far_.hz() * left.hw() * bottom.hw(), left.hw() * bottom.hw() * far_.hw()), Point_3(right.hx() * top.hw() * close.hw(), top.hy() * right.hw() * close.hw(), close.hz() * right.hw() * top.hw(), right.hw() * top.hw() * close.hw()))) { CGAL_kernel_precondition(!less_x(right, left)); CGAL_kernel_precondition(!less_y(top, bottom)); CGAL_kernel_precondition(!less_z(close, far_)); } template < class R > CGAL_KERNEL_LARGE_INLINE Iso_cuboidH3:: Iso_cuboidH3(const RT& min_hx, const RT& min_hy, const RT& min_hz, const RT& max_hx, const RT& max_hy, const RT& max_hz) : base{Point_3(min_hx, min_hy, min_hz, RT(1)), Point_3(max_hx, max_hy, max_hz, RT(1))} {} template < class R > CGAL_KERNEL_LARGE_INLINE Iso_cuboidH3:: Iso_cuboidH3(const RT& min_hx, const RT& min_hy, const RT& min_hz, const RT& max_hx, const RT& max_hy, const RT& max_hz, const RT& hw) : base(CGAL::make_array(Point_3(min_hx, min_hy, min_hz, hw), Point_3(max_hx, max_hy, max_hz, hw))) {} template < class R > CGAL_KERNEL_INLINE typename R::Boolean Iso_cuboidH3:: operator==(const Iso_cuboidH3& r) const { return ((this->min)() == (r.min)()) && ((this->max)() == (r.max)()); } template < class R > inline typename R::Boolean Iso_cuboidH3:: operator!=(const Iso_cuboidH3& r) const { return !(*this == r); } template < class R > inline const typename Iso_cuboidH3::Point_3 & Iso_cuboidH3::min BOOST_PREVENT_MACRO_SUBSTITUTION () const { return get_pointee_or_identity(base)[0]; } template < class R > inline const typename Iso_cuboidH3::Point_3 & Iso_cuboidH3::max BOOST_PREVENT_MACRO_SUBSTITUTION () const { return get_pointee_or_identity(base)[1]; } template < class R > inline typename Iso_cuboidH3::FT Iso_cuboidH3::xmin() const { return FT( (this->min)().hx() ) / FT( (this->min)().hw() ); } template < class R > inline typename Iso_cuboidH3::FT Iso_cuboidH3::ymin() const { return FT( (this->min)().hy() ) / FT( (this->min)().hw() ); } template < class R > inline typename Iso_cuboidH3::FT Iso_cuboidH3::zmin() const { return FT( (this->min)().hz() ) / FT( (this->min)().hw() ); } template < class R > inline typename Iso_cuboidH3::FT Iso_cuboidH3::xmax() const { return FT( (this->max)().hx() ) / FT( (this->max)().hw() ); } template < class R > inline typename Iso_cuboidH3::FT Iso_cuboidH3::ymax() const { return FT( (this->max)().hy() ) / FT( (this->max)().hw() ); } template < class R > inline typename Iso_cuboidH3::FT Iso_cuboidH3::zmax() const { return FT( (this->max)().hz() ) / FT( (this->max)().hw() ); } template < class R > inline typename Iso_cuboidH3::FT Iso_cuboidH3::min_coord(int i) const { CGAL_kernel_precondition(i == 0 || i == 1 || i == 2); if ( i == 0 ) return xmin(); else if (i == 1) return ymin(); return zmin(); } template < class R > inline typename Iso_cuboidH3::FT Iso_cuboidH3::max_coord(int i) const { CGAL_kernel_precondition(i == 0 || i == 1 || i == 2); if ( i == 0 ) return xmax(); else if ( i == 1 ) return ymax(); return zmax(); } template < class R > inline typename Iso_cuboidH3::FT Iso_cuboidH3::volume() const { return (xmax() - xmin()) * (ymax() - ymin()) * (zmax() - zmin()); } template < class R > CGAL_KERNEL_LARGE_INLINE typename Iso_cuboidH3::Point_3 Iso_cuboidH3::vertex(int i) const { switch (i%8) { case 0: return (this->min)(); case 1: return Point_3( (this->max)().hx(), (this->min)().hy(), (this->min)().hz(), (this->min)().hw() ); case 2: return Point_3( (this->max)().hx(), (this->max)().hy(), (this->min)().hz(), (this->min)().hw() ); case 3: return Point_3( (this->min)().hx(), (this->max)().hy(), (this->min)().hz(), (this->min)().hw() ); case 4: return Point_3( (this->min)().hx(), (this->max)().hy(), (this->max)().hz(), (this->min)().hw() ); case 5: return Point_3( (this->min)().hx(), (this->min)().hy(), (this->max)().hz(), (this->min)().hw() ); case 6: return Point_3( (this->max)().hx(), (this->min)().hy(), (this->max)().hz(), (this->min)().hw() ); default: /*case 7:*/ return (this->max)(); } } template < class R > inline typename Iso_cuboidH3::Point_3 Iso_cuboidH3::operator[](int i) const { return vertex(i); } template < class R > CGAL_KERNEL_MEDIUM_INLINE typename R::Bounded_side Iso_cuboidH3:: bounded_side(const typename Iso_cuboidH3::Point_3& p) const { if ( (p.hx()*(this->min)().hw() < (this->min)().hx()*p.hw() ) ||(p.hy()*(this->min)().hw() < (this->min)().hy()*p.hw() ) ||(p.hz()*(this->min)().hw() < (this->min)().hz()*p.hw() ) ||(p.hx()*(this->max)().hw() > (this->max)().hx()*p.hw() ) ||(p.hy()*(this->max)().hw() > (this->max)().hy()*p.hw() ) ||(p.hz()*(this->max)().hw() > (this->max)().hz()*p.hw() ) ) { return ON_UNBOUNDED_SIDE; } if ( (p.hx()*(this->min)().hw() == (this->min)().hx()*p.hw() ) ||(p.hy()*(this->min)().hw() == (this->min)().hy()*p.hw() ) ||(p.hz()*(this->min)().hw() == (this->min)().hz()*p.hw() ) ||(p.hx()*(this->max)().hw() == (this->max)().hx()*p.hw() ) ||(p.hy()*(this->max)().hw() == (this->max)().hy()*p.hw() ) ||(p.hz()*(this->max)().hw() == (this->max)().hz()*p.hw() ) ) { return ON_BOUNDARY; } else { return ON_BOUNDED_SIDE; } } template < class R > inline typename R::Boolean Iso_cuboidH3:: has_on_boundary(const typename Iso_cuboidH3::Point_3& p) const { return ( bounded_side(p) == ON_BOUNDARY ); } template < class R > inline typename R::Boolean Iso_cuboidH3::has_on(const typename Iso_cuboidH3::Point_3& p) const { return ( bounded_side(p) == ON_BOUNDARY ); } template < class R > inline typename R::Boolean Iso_cuboidH3:: has_on_bounded_side(const typename Iso_cuboidH3::Point_3& p) const { return ( bounded_side(p) == ON_BOUNDED_SIDE ); } template < class R > CGAL_KERNEL_INLINE typename R::Boolean Iso_cuboidH3:: has_on_unbounded_side(const typename Iso_cuboidH3::Point_3& p) const { return ( bounded_side(p) == ON_UNBOUNDED_SIDE ); } template < class R > CGAL_KERNEL_INLINE typename R::Boolean Iso_cuboidH3::is_degenerate() const { return ( ( (this->min)().hx() == (this->max)().hx() ) || ( (this->min)().hy() == (this->max)().hy() ) || ( (this->min)().hz() == (this->max)().hz() ) ); } template < class R > CGAL_KERNEL_INLINE Iso_cuboidH3 Iso_cuboidH3:: transform(const typename Iso_cuboidH3::Aff_transformation_3&t) const { return Iso_cuboidH3(t.transform((this->min)() ), t.transform((this->max)() ) ); } } //namespace CGAL #endif // CGAL_ISO_CUBOIDH3_H