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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/Gmpq.h $ // $Id: include/CGAL/Gmpq.h b26b07a1242 $ // SPDX-License-Identifier: LGPL-3.0-or-later OR LicenseRef-Commercial // // // Author(s) : Michael Hemmer #ifndef CGAL_GMPQ_H #define CGAL_GMPQ_H #include #include #include namespace CGAL { // AST for Gmpq-class template <> class Algebraic_structure_traits< Gmpq > : public Algebraic_structure_traits_base< Gmpq, Field_tag > { public: typedef Tag_true Is_exact; typedef Tag_false Is_numerical_sensitive; class Is_zero : public CGAL::cpp98::unary_function< Type, bool > { public: bool operator()( const Type& x_) const { return mpq_sgn(x_.mpq()) == 0; } }; class Is_square : public CGAL::cpp98::binary_function< Type, Type&, bool > { public: bool operator()( const Type& x_, Type& y ) const { Gmpq x( x_ ); mpq_canonicalize( x.mpq() ); Algebraic_structure_traits< Gmpz >::Sqrt sqrt; y = Gmpq( sqrt( x.numerator() ), sqrt( x.denominator() ) ); return y*y == x; } bool operator()( const Type& x) const { Type y; return operator()(x,y); } }; class Simplify : public CGAL::cpp98::unary_function< Type&, void > { public: void operator()( Type& x) const { mpq_canonicalize( x.mpq() ); } }; }; // RET for Gmpq-class template <> class Real_embeddable_traits< Gmpq > : public INTERN_RET::Real_embeddable_traits_base< Gmpq , CGAL::Tag_true > { public: class Is_positive : public CGAL::cpp98::unary_function< Type, bool > { public: bool operator()( const Type& x_) const { return mpq_sgn(x_.mpq()) > 0; } }; class Is_negative : public CGAL::cpp98::unary_function< Type, bool > { public: bool operator()( const Type& x_) const { return mpq_sgn(x_.mpq()) < 0; } }; class Sgn : public CGAL::cpp98::unary_function< Type, ::CGAL::Sign > { public: ::CGAL::Sign operator()( const Type& x ) const { return x.sign(); } }; class To_double : public CGAL::cpp98::unary_function< Type, double > { public: double operator()( const Type& x ) const { return x.to_double(); } }; class To_interval : public CGAL::cpp98::unary_function< Type, std::pair< double, double > > { public: std::pair operator()( const Type& x ) const { #if MPFR_VERSION_MAJOR >= 3 mpfr_exp_t emin = mpfr_get_emin(); mpfr_set_emin(-1073); MPFR_DECL_INIT (y, 53); /* Assume IEEE-754 */ int r = mpfr_set_q (y, x.mpq(), MPFR_RNDA); r = mpfr_subnormalize (y, r, MPFR_RNDA); /* Round subnormals */ double i = mpfr_get_d (y, MPFR_RNDA); /* EXACT but can overflow */ mpfr_set_emin(emin); /* Restore old value, users may care */ // With mpfr_set_emax(1024) we could drop the is_finite test if (r == 0 && is_finite (i)) return std::pair(i, i); else { double s = nextafter (i, 0); if (i < 0) return std::pair(i, s); else return std::pair(s, i); } #else mpfr_t y; mpfr_init2 (y, 53); /* Assume IEEE-754 */ mpfr_set_q (y, x.mpq(), GMP_RNDD); double i = mpfr_get_d (y, GMP_RNDD); /* EXACT but can overflow */ mpfr_set_q (y, x.mpq(), GMP_RNDU); double s = mpfr_get_d (y, GMP_RNDU); /* EXACT but can overflow */ mpfr_clear (y); return std::pair(i, s); #endif } }; }; /*! \ingroup NiX_Fraction_traits_spec * \brief Specialization of Fraction_traits for Gmpq */ template <> class Fraction_traits< Gmpq > { public: typedef Gmpq Type; typedef ::CGAL::Tag_true Is_fraction; typedef Gmpz Numerator_type; typedef Gmpz Denominator_type; typedef Algebraic_structure_traits< Gmpz >::Gcd Common_factor; class Decompose { public: typedef Gmpq first_argument_type; typedef Gmpz& second_argument_type; typedef Gmpz& third_argument_type; void operator () (const Gmpq& rat, Gmpz& num,Gmpz& den) { num = rat.numerator(); den = rat.denominator(); } }; class Compose { public: typedef Gmpz first_argument_type; typedef Gmpz second_argument_type; typedef Gmpq result_type; Gmpq operator () (const Gmpz& num,const Gmpz& den) { return Gmpq(num, den); } }; }; } //namespace CGAL namespace Eigen { template struct NumTraits; template<> struct NumTraits { typedef CGAL::Gmpq Real; typedef CGAL::Gmpq NonInteger; typedef CGAL::Gmpq Nested; typedef CGAL::Gmpq Literal; static inline Real epsilon() { return 0; } static inline Real dummy_precision() { return 0; } enum { IsInteger = 0, IsSigned = 1, IsComplex = 0, RequireInitialization = 1, ReadCost = 6, AddCost = 150, MulCost = 100 }; }; namespace internal { template<> struct significant_decimals_impl { static inline int run() { return 0; } }; } } //since types are included by Gmp_coercion_traits.h: #include #include #include #endif // CGAL_GMPQ_H