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// Copyright (c) 2006-2008 Max-Planck-Institute Saarbruecken (Germany). // 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/Sqrt_extension/Fraction_traits.h $ // $Id: include/CGAL/Sqrt_extension/Fraction_traits.h b26b07a1242 $ // SPDX-License-Identifier: LGPL-3.0-or-later OR LicenseRef-Commercial // // // Author(s) : Michael Hemmer #ifndef CGAL_SQRT_EXTENSION_FRACTION_TRAITS_H #define CGAL_SQRT_EXTENSION_FRACTION_TRAITS_H #include namespace CGAL { //################################# CGAL::Fraction_traits ################## // Select the right alternative as Fraction_traits // The actual Type traits is Intern::Sqrt_ext_Ftr_base_2 // The selection is done in two steps: // 1. Inter::Sqrt_ext_Ftr_base_1 selects by the BOOL_TAG whether the COEFF type // Is_fraction // 2. Intern::Sqrt_ext_Ftr_base_2 checks whether the internal type of the ROOT // is still implicitly convertible to the new COEFF type. // since the ROOT type it self can not be converted. namespace Intern{ template class Sqrt_ext_Ftr_base_2; template class Sqrt_ext_Ftr_base_1; } /*! \ingroup CGAL_Sqrt_extension \ingroup CGAL_Fraction_traits_spec \brief Specialization of CGAL::Fraction_traits for CGAL::Sqrt_extension. * * Extensions provide suitable specializations of \c CGAL::Fraction_traits. * They are decomposable iff their coefficient type is. * The denominator \e d of an extension \e ext is a low common multiple * (see \c CGAL::Fraction_traits::Common_factor for details) of the * denominators of its coefficients. The numerator is the extension * \e d*ext with a fraction-free coefficient type. * * This works for nested Sqrt_extensions, too. */ template class Fraction_traits< Sqrt_extension > : public Intern::Sqrt_ext_Ftr_base_1< Sqrt_extension, typename CGAL::Fraction_traits::Is_fraction > { // nothing new }; namespace Intern { // Use this if the coefficients cannot be decomposed // into numerator and denominator template class Sqrt_ext_Ftr_base_2< NT_, false > { public: typedef NT_ NT; typedef ::CGAL::Tag_false Is_fraction; typedef ::CGAL::Null_tag Numerator_type; typedef ::CGAL::Null_tag Denominator_type; typedef ::CGAL::Null_tag Common_factor; typedef ::CGAL::Null_tag Decompose; typedef ::CGAL::Null_tag Compose; }; template class Sqrt_ext_Ftr_base_2< Sqrt_extension, true > { private: typedef Fraction_traits CFT; public: typedef Sqrt_extension NT; typedef CGAL::Tag_true Is_fraction; typedef Sqrt_extension Numerator_type; typedef typename CFT::Denominator_type Denominator_type; typedef typename Algebraic_structure_traits::Gcd Common_factor; class Decompose { public: typedef NT first_argument_type; typedef Numerator_type second_argument_type; typedef Denominator_type& third_argument_type; void operator () (const NT& ext, Numerator_type& num, Denominator_type& den){ typename CFT::Decompose decompose; typename CFT::Common_factor common_factor; typedef typename CFT::Numerator_type NUM; typedef typename CFT::Denominator_type DEN; if(ext.is_extended()){ NUM a0_num, a1_num; DEN a0_den, a1_den; DEN common_den; decompose(ext.a0(),a0_num,a0_den); decompose(ext.a1(),a1_num,a1_den); common_den=common_factor(a0_den,a1_den); typename CGAL::Coercion_traits::Cast cast; a0_num = cast(a0_num) * cast(CGAL::integral_division(a1_den,common_den)); a1_num = cast(a1_num) * cast(CGAL::integral_division(a0_den,common_den)); den = CGAL::integral_division(a0_den,common_den)*a1_den; num = Numerator_type(a0_num,a1_num,ext.root()); }else{ NUM a0_num; decompose(ext.a0(),a0_num,den); num = Numerator_type(a0_num); } } }; class Compose { public: typedef Numerator_type first_argument_type; typedef Denominator_type second_argument_type; typedef NT result_type; NT operator () (const Numerator_type& num, const Denominator_type& den){ if(num.is_extended()){ typename CFT::Compose compose; COEFF a0=compose(num.a0(),den); COEFF a1=compose(num.a1(),den); return NT(a0,a1,num.root()); }else{ typename CFT::Compose compose; COEFF a0=compose(num.a0(),den); return NT(a0); } } }; }; template class Sqrt_ext_Ftr_base_1; template class Sqrt_ext_Ftr_base_1< Sqrt_extension, CGAL::Tag_true > : public Sqrt_ext_Ftr_base_2< Sqrt_extension, ::std::is_same< typename CGAL::Coercion_traits::Numerator_type>::Type, typename CGAL::Fraction_traits::Numerator_type>::value > { //nothing new }; template class Sqrt_ext_Ftr_base_1< Sqrt_extension, CGAL::Tag_false > : public Sqrt_ext_Ftr_base_2< Sqrt_extension, false> { //nothing new }; } // namespace Intern /* namespace Intern{ template class Sqrt_ext_Coftr_base_1; template class Sqrt_ext_Coftr_base_1< SqrtExt, CGAL::Tag_false >{ public: typedef SqrtExt Numerator_type; typedef ::CGAL::Tag_false Is_composable; typedef ::CGAL::Null_tag Denominator_type; typedef ::CGAL::Null_tag Type; typedef ::CGAL::Null_tag Compose; }; template class Sqrt_ext_Coftr_base_1< SqrtExt, CGAL::Tag_true >{ typedef typename SqrtExt::NT Coeff; typedef typename SqrtExt::ROOT Root; typedef typename CGAL::Cofraction_traits CFT; typedef typename CFT::Type Type_coeff; public: typedef SqrtExt Numerator_type; typedef ::CGAL::Tag_true Is_composable; typedef typename CFT::Denominator_type Denominator; typedef CGAL::Sqrt_extension Type; class Compose { public: //! first argument type typedef Numerator_type first_argument_type; //! second argument type typedef Denominator_type second_argument_type; //! result type typedef Type result_type; //! Compose fraction Type operator() (Numerator_type num, Denominator_type den){ if(num.is_extended()){ typename CFT::Compose compose_coeff; Type_coeff a0_new(compose_coeff(num.a0(),den)); Type_coeff a1_new(compose_coeff(num.a1(),den)); return result_type(a0_new, a1_new, num.root()); }else{ typename CFT::Compose compose_coeff; return result_type(compose_coeff(num.a0(),den)); } }; }; }; } template class Cofraction_traits > :public Intern::Sqrt_ext_Coftr_base_1< Sqrt_extension, typename CGAL::Cofraction_traits::Is_composable>{ //nothing new; }; */ } //namespace CGAL #endif