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// Copyright (c) 2005,2007 // 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/long_double.h $ // $Id: include/CGAL/long_double.h b26b07a1242 $ // SPDX-License-Identifier: LGPL-3.0-or-later OR LicenseRef-Commercial // // // Author(s) : Sylvain Pion, Michael Hemmer #ifndef CGAL_LONG_DOUBLE_H #define CGAL_LONG_DOUBLE_H #include #include #ifdef CGAL_CFG_IEEE_754_BUG # include #endif // #include #include #include #include namespace CGAL { // Is_valid moved to top, since used by is_finite #ifdef CGAL_CFG_IEEE_754_BUG #define CGAL_EXPONENT_DOUBLE_MASK 0x7ff00000 #define CGAL_MANTISSA_DOUBLE_MASK 0x000fffff inline bool is_finite_by_mask_long_double(unsigned int h) { unsigned int e = h & CGAL_EXPONENT_DOUBLE_MASK; return ( ( e ^ CGAL_EXPONENT_DOUBLE_MASK ) != 0 ); } inline bool is_nan_by_mask_long_double(unsigned int h, unsigned int l) { if ( is_finite_by_mask_long_double(h) ) return false; return (( h & CGAL_MANTISSA_DOUBLE_MASK ) != 0) || (( l & 0xffffffff ) != 0); } template<> class Is_valid< long double > : public CGAL::cpp98::unary_function< long double, bool > { public : bool operator()( const long double& x ) const { double d = x; IEEE_754_double* p = reinterpret_cast(&d); return ! ( is_nan_by_mask_long_double( p->c.H, p->c.L )); } }; #else template<> class Is_valid< long double > : public CGAL::cpp98::unary_function< long double, bool > { public : bool operator()( const long double& x ) const { return (x == x); } }; #endif template <> class Algebraic_structure_traits< long double > : public Algebraic_structure_traits_base< long double, 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 std::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"); return std::pow(x, (long double)1.0 / (long double)(k)); }; }; }; template <> class Real_embeddable_traits< long double > : public INTERN_RET::Real_embeddable_traits_base< long double , CGAL::Tag_true > { public: class To_interval : public CGAL::cpp98::unary_function< Type, std::pair< double, double > > { public: std::pair operator()( const Type& x ) const { // The conversion long double to double does not always follow the // rounding mode (e.g. on MacIntel/g++-4.0.2). So let's do a naive // conversion to double, then widen the interval. return (Interval_nt<>((double)x)+Interval_nt<>::smallest()).pair(); #if 0 // We hope that the long double -> double conversion // follows the current rounding mode. Protect_FPU_rounding P(CGAL_FE_UPWARD); volatile long double mx = -x; // needed otherwise the conversion can // get factorized between d and -d... if (x>0) return std::make_pair(- static_cast(CGAL_IA_FORCE_TO_DOUBLE(mx)), static_cast(CGAL_IA_FORCE_TO_DOUBLE(x))); else return std::make_pair((double) CGAL_IA_FORCE_TO_DOUBLE(x), - (double) CGAL_IA_FORCE_TO_DOUBLE(mx)); #endif } }; // Is_finite depends on platform class Is_finite : public CGAL::cpp98::unary_function< Type, bool > { public: bool operator()( const Type& x ) const { #ifdef CGAL_CFG_IEEE_754_BUG Type d = x; IEEE_754_double* p = reinterpret_cast(&d); return is_finite_by_mask_long_double( p->c.H ); #else return (x == x) && (is_valid(x-x)); #endif } }; }; } //namespace CGAL #endif // CGAL_LONG_DOUBLE_H