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// Copyright (c) 1999,2007 // Utrecht University (The Netherlands), // ETH Zurich (Switzerland), // INRIA Sophia-Antipolis (France), // Max-Planck-Institute Saarbruecken (Germany), // and Tel-Aviv University (Israel). 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/leda_bigfloat.h $ // $Id: include/CGAL/leda_bigfloat.h b26b07a1242 $ // SPDX-License-Identifier: LGPL-3.0-or-later OR LicenseRef-Commercial // // // Author(s) : Stefan Schirra, Michael Hemmer #ifndef CGAL_LEDA_BIGFLOAT_H #define CGAL_LEDA_BIGFLOAT_H #include #include #include #include #include #include namespace CGAL { template <> class Algebraic_structure_traits< leda_bigfloat > : public Algebraic_structure_traits_base< leda_bigfloat, Field_with_kth_root_tag > { public: typedef Tag_false Is_exact; typedef Tag_true Is_numerical_sensitive; class Sqrt : public CGAL::cpp98::unary_function< Type, Type > { public: Type operator()( const Type& x ) const { return CGAL_LEDA_SCOPE::sqrt( x ); } }; class Kth_root : public CGAL::cpp98::binary_function { public: Type operator()( int k, const Type& x) const { CGAL_precondition_msg(k > 0, "'k' must be positive for k-th roots"); // heuristic: we ask for as many precision as the argument has long d = x.get_significant_length(); if ( d < 53) // O.K. we want at least double precision d = 53; return CGAL_LEDA_SCOPE::sqrt_d( x, d, k); } }; }; template <> class Real_embeddable_traits< leda_bigfloat > : public INTERN_RET::Real_embeddable_traits_base< leda_bigfloat , CGAL::Tag_true > { public: class Abs : public CGAL::cpp98::unary_function< Type, Type > { public: Type operator()( const Type& x ) const { return CGAL_LEDA_SCOPE::abs( x ); } }; class Sgn : public CGAL::cpp98::unary_function< Type, ::CGAL::Sign > { public: ::CGAL::Sign operator()( const Type& x ) const { return (::CGAL::Sign) CGAL_LEDA_SCOPE::sign( x ); } }; class Compare : public CGAL::cpp98::binary_function< Type, Type, Comparison_result > { public: Comparison_result operator()( const Type& x, const Type& y ) const { return (Comparison_result) CGAL_LEDA_SCOPE::compare( x, y ); } CGAL_IMPLICIT_INTEROPERABLE_BINARY_OPERATOR_WITH_RT( Type, Comparison_result ) }; 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 { // assuming leda_bigfloat guarantee 1 bit error max Protect_FPU_rounding P (CGAL_FE_TONEAREST); Interval_nt_advanced approx (CGAL_LEDA_SCOPE::to_double(x)); FPU_set_cw(CGAL_FE_UPWARD); approx += Interval_nt::smallest(); return approx.pair(); } }; class Is_finite : public CGAL::cpp98::unary_function< Type, bool > { public: bool operator()( const Type& x ) const { return !( CGAL_LEDA_SCOPE::isInf(x) || CGAL_LEDA_SCOPE::isNaN(x) ); } }; }; template<> class Is_valid< leda_bigfloat > : public CGAL::cpp98::unary_function< leda_bigfloat, bool > { public : bool operator()( const leda_bigfloat& x ) const { return !( CGAL_LEDA_SCOPE::isNaN(x) ); } }; } //namespace CGAL // Unary + is missing for leda::bigfloat namespace leda { inline bigfloat operator+( const bigfloat& i) { return i; } } // namespace leda //since types are included by LEDA_coercion_traits.h: #include #include #include #include #endif // CGAL_LEDA_BIGFLOAT_H