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// Copyright (c) 2010 GeometryFactory // Copyright (c) 1999-2007 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/Number_types/include/CGAL/Root_of_traits_specializations.h $ // $Id: include/CGAL/Root_of_traits_specializations.h b26b07a1242 $ // SPDX-License-Identifier: LGPL-3.0-or-later OR LicenseRef-Commercial // // // Author(s) : Michael Hemmer // Sebastien Loriot // Sylvain Pion #ifndef CGAL_ROOT_OF_TRAITS_SPECIALIZATIONS_H #define CGAL_ROOT_OF_TRAITS_SPECIALIZATIONS_H #include #include namespace CGAL { // We create a type of new node in Lazy_exact_nt's DAG // for the make_root_of_2() and solve_1(of degree 2) operation. template struct Lazy_exact_ro2 : public Lazy_exact_nt_rep< typename Root_of_traits::Root_of_2 > { typedef typename Root_of_traits::Root_of_2 RO2; typedef Lazy_exact_nt_rep Base; typedef typename Base::AT::Protector P; mutable Lazy_exact_nt op1, op2, op3; bool smaller; bool old_rep;//if the rep=true then representation with polynomial coeff, else alpha, beta, gamma Lazy_exact_ro2 (const Lazy_exact_nt &a, const Lazy_exact_nt &b, const Lazy_exact_nt &c, bool s) : Base((P(), make_root_of_2(a.approx(), b.approx(), c.approx(), s))), op1(a), op2(b), op3(c), smaller(s), old_rep(true) {} Lazy_exact_ro2 (const Lazy_exact_nt &a, const Lazy_exact_nt &b, const Lazy_exact_nt &c) : Base((P(), make_root_of_2(a.approx(), b.approx(), c.approx()))), op1(a), op2(b), op3(c), smaller(true), old_rep(false) {} void update_exact() const { typedef typename Base::Indirect I; I* pet; if (old_rep) pet = new I(make_root_of_2(op1.exact(), op2.exact(), op3.exact(), smaller)); else pet = new I(make_root_of_2(op1.exact(), op2.exact(), op3.exact())); if (!this->approx().is_point()) this->set_at(pet); this->set_ptr(pet); this->prune_dag(); } void prune_dag() const { op1.reset(); op2.reset(); op3.reset(); } }; template struct Root_of_traits< Lazy_exact_nt < NT > > { private: typedef Root_of_traits T; public: typedef Root_of_traits< Lazy_exact_nt < NT > > Base; typedef Lazy_exact_nt< typename T::Root_of_1 > Root_of_1; typedef Lazy_exact_nt< typename T::Root_of_2 > Root_of_2; typedef Root_of_2 RootOf_2; typedef Root_of_1 RootOf_1; struct Make_root_of_2{ typedef Root_of_2 result_type; Root_of_2 operator()(const Lazy_exact_nt& a, const Lazy_exact_nt& b, const Lazy_exact_nt& c) const { return new Lazy_exact_ro2(a, b, c); }; Root_of_2 operator()(const Lazy_exact_nt& a, const Lazy_exact_nt& b, const Lazy_exact_nt& c, bool smaller) const{ return new Lazy_exact_ro2(a, b, c, smaller); }; }; private: typedef CGAL::Algebraic_structure_traits AST; public: typedef typename AST::Square Square; typedef typename AST::Inverse Inverse; struct Make_sqrt{ typedef Root_of_2 result_type; Root_of_2 operator()(const Lazy_exact_nt& x) const { return new Lazy_exact_ro2( Lazy_exact_nt(0), Lazy_exact_nt(1) , x); } }; }; //these two functions for test suite requirement template < typename RT > typename CGAL::Root_of_traits >::Root_of_2 make_sqrt(const CGAL::Lazy_exact_nt< RT> & r) { typedef Lazy_exact_nt< RT> TT; CGAL_assertion(r >= 0); if(CGAL_NTS is_zero(r)) return make_root_of_2((TT) 1,(TT) 0,(TT) 0); return make_root_of_2((TT) 1,(TT) 0,-r,false); } } //namespace CGAL #endif // CGAL_ROOT_OF_TRAITS_SPECIALIZATIONS_H