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// Copyright (c) 2003-2006 INRIA Sophia-Antipolis (France). // All rights reserved. // // This file is part of CGAL (www.cgal.org). // // $URL: https://github.com/CGAL/cgal/blob/v6.1/Algebraic_kernel_for_circles/include/CGAL/Root_for_circles_2_2.h $ // $Id: include/CGAL/Root_for_circles_2_2.h b26b07a1242 $ // SPDX-License-Identifier: GPL-3.0-or-later OR LicenseRef-Commercial // // Author(s) : Monique Teillaud, Sylvain Pion // Partially supported by the IST Programme of the EU as a Shared-cost // RTD (FET Open) Project under Contract No IST-2000-26473 // (ECG - Effective Computational Geometry for Curves and Surfaces) // and a STREP (FET Open) Project under Contract No IST-006413 // (ACS -- Algorithms for Complex Shapes) #ifndef CGAL_ALGEBRAIC_KERNEL_FOR_CIRCLES_ROOT_FOR_CIRCLES_2_2_H #define CGAL_ALGEBRAIC_KERNEL_FOR_CIRCLES_ROOT_FOR_CIRCLES_2_2_H #include #include #include #include #include #include namespace CGAL { template < typename RT_ > class Root_for_circles_2_2 { typedef RT_ RT; typedef typename Root_of_traits< RT >::RootOf_2 Root_of_2; typedef typename Root_of_traits< RT >::RootOf_1 FT; private: Handle_for x_; Handle_for y_; public: Root_for_circles_2_2(){} Root_for_circles_2_2(const Root_of_2& r1, const Root_of_2& r2) : x_(r1), y_(r2) { // When it is an interval this assertion doesn't compile //CGAL_assertion((r1.is_rational() || r2.is_rational()) || // (r1.gamma() == r2.gamma())); } const Root_of_2& x() const { return get_pointee_or_identity(x_); } const Root_of_2& y() const { return get_pointee_or_identity(y_); } CGAL::Bbox_2 bbox() const { CGAL::Interval_nt<> ix=to_interval(x()), iy=to_interval(y()); return CGAL::Bbox_2(ix.inf(),iy.inf(), ix.sup(),iy.sup()); /* const Root_of_2 &ox = x(); const Root_of_2 &oy = y(); if(ox.is_rational() || oy.is_rational()) { CGAL::Interval_nt<> ix=to_interval(ox), iy=to_interval(oy); return CGAL::Bbox_2(ix.inf(),iy.inf(), ix.sup(),iy.sup()); } // delta must be the same // WE HAVE TO TEST THE EXECUTION TIME // IT STILL NOT POSSIBLE BECAUSE OF THE // PROBLEM ON THE ARRANGEMENT // (it is very likely to make it better with this changing) const CGAL::Interval_nt alpha1 = to_interval(ox.alpha()); const CGAL::Interval_nt beta1 = to_interval(ox.beta()); const CGAL::Interval_nt alpha2 = to_interval(oy.alpha()); const CGAL::Interval_nt beta2 = to_interval(oy.beta()); const CGAL::Interval_nt g = to_interval(ox.gamma()); const CGAL::Interval_nt sqrtg = CGAL::sqrt(g); const CGAL::Interval_nt ix = alpha1 + beta1 * sqrtg; const CGAL::Interval_nt iy = alpha2 + beta2 * sqrtg; return CGAL::Bbox_2(ix.inf(),iy.inf(), ix.sup(),iy.sup()); */ } template < typename RT > friend bool operator == ( const Root_for_circles_2_2& r1, const Root_for_circles_2_2& r2 ); }; template < typename RT > bool operator == ( const Root_for_circles_2_2& r1, const Root_for_circles_2_2& r2 ) { if (CGAL::identical(r1.x_, r2.x_) && CGAL::identical(r1.y_, r2.y_)) return true; return (r1.x() == r2.x()) && (r1.y() == r2.y()); } template < typename RT > std::ostream & operator<<(std::ostream & os, const Root_for_circles_2_2 &r) { return os << r.x() << " " << r.y() << " "; } template < typename RT > std::istream & operator>>(std::istream & is, Root_for_circles_2_2 &r) { typedef typename Root_of_traits< RT >::RootOf_2 Root_of_2; Root_of_2 x,y; is >> x >> y; if(is) r = Root_for_circles_2_2(x,y); return is; } } //namespace CGAL #endif // CGAL_ALGEBRAIC_KERNEL_FOR_CIRCLES_ROOT_FOR_CIRCLES_2_2_H