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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/Gmpzf.h $ // $Id: include/CGAL/Gmpzf.h b26b07a1242 $ // SPDX-License-Identifier: LGPL-3.0-or-later OR LicenseRef-Commercial // // // Author(s) : Michael Hemmer #ifndef CGAL_GMPZF_H #define CGAL_GMPZF_H // includes #include #include #include #include namespace CGAL { // Algebraic structure traits template <> class Algebraic_structure_traits< Gmpzf > : public Algebraic_structure_traits_base< Gmpzf, Euclidean_ring_tag > { public: typedef Tag_true Is_exact; struct Is_zero : public CGAL::cpp98::unary_function< Type, bool > { public: bool operator()( const Type& x ) const { return x.is_zero(); } }; struct Integral_division : public CGAL::cpp98::binary_function< Type, Type, Type > { public: Type operator()( const Type& x, const Type& y ) const { return x.integral_division(y); } }; struct Gcd : public CGAL::cpp98::binary_function< Type, Type, Type > { public: Type operator()( const Type& x, const Type& y ) const { return x.gcd(y); } CGAL_IMPLICIT_INTEROPERABLE_BINARY_OPERATOR(int) }; class Div : public CGAL::cpp98::binary_function< Type, Type, Type > { public: Type operator()( const Type& x, const Type& y ) const { return Type(x).div( y ); } }; typedef INTERN_AST::Mod_per_operator< Type > Mod; class Is_square : public CGAL::cpp98::binary_function< Type, Type&, bool > { public: bool operator()( const Type& x, Type& y ) const { y = CGAL::approximate_sqrt(x); return y * y == x; } bool operator()( const Type& x) const { Type dummy; return operator()(x,dummy); } }; }; // Real embeddable traits template <> class Real_embeddable_traits< Gmpzf > : public INTERN_RET::Real_embeddable_traits_base< Gmpzf , CGAL::Tag_true > { typedef Algebraic_structure_traits AST; public: typedef AST::Is_zero Is_zero; struct Sgn : public CGAL::cpp98::unary_function< Type, ::CGAL::Sign > { public: ::CGAL::Sign operator()( const Type& x ) const { return x.sign(); } }; struct Compare : public CGAL::cpp98::binary_function< Type, Type, Comparison_result > { public: Comparison_result operator()( const Type& x, const Type& y ) const { return x.compare(y); } }; struct To_double : public CGAL::cpp98::unary_function< Type, double > { public: double operator()( const Type& x ) const { return x.to_double(); } }; struct To_interval : public CGAL::cpp98::unary_function< Type, std::pair< double, double > > { public: std::pair operator()( const Type& x ) const { return x.to_interval(); } }; }; // specialization of to double functor template<> class Real_embeddable_traits< Quotient > : public INTERN_QUOTIENT::Real_embeddable_traits_quotient_base< Quotient > { public: struct To_double: public CGAL::cpp98::unary_function, double>{ inline double operator()(const Quotient& q) const { std::pair n = q.numerator().to_double_exp(); std::pair d = q.denominator().to_double_exp(); double scale = std::ldexp(1.0, static_cast(n.second - d.second)); return (n.first / d.first) * scale; } }; struct To_interval : public CGAL::cpp98::unary_function, std::pair >{ inline std::pair operator()(const Quotient& q) const { // do here as MP_Float does std::pair, long> n = q.numerator().to_interval_exp(); std::pair, long> d = q.denominator().to_interval_exp(); CGAL_assertion_msg(CGAL::abs(double(n.second) - double(d.second)) < (1<<30)*2.0, "Exponent overflow in Quotient to_interval"); return ldexp(Interval_nt<>(n.first) / Interval_nt<>(d.first), static_cast(n.second - d.second)).pair(); } }; }; } //namespace CGAL //since types are included by Gmp_coercion_traits.h: #include #include #endif // CGAL_GMPZF_H // ===== EOF ==================================================================