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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/double.h $ // $Id: include/CGAL/double.h b26b07a1242 $ // SPDX-License-Identifier: LGPL-3.0-or-later OR LicenseRef-Commercial // // // Author(s) : Geert-Jan Giezeman, Michael Hemmer #ifndef CGAL_DOUBLE_H #define CGAL_DOUBLE_H #include #include #include #include #include #include #include // for nextafter #include #ifdef CGAL_USE_SSE2_FABS #include #endif #ifdef _MSC_VER #include #endif #ifdef CGAL_CFG_IEEE_754_BUG # include #endif namespace CGAL { #ifdef CGAL_CFG_IEEE_754_BUG #define CGAL_EXPONENT_DOUBLE_MASK 0x7ff00000 #define CGAL_MANTISSA_DOUBLE_MASK 0x000fffff inline bool is_finite_by_mask_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_double(unsigned int h, unsigned int l) { if ( is_finite_by_mask_double(h) ) return false; return (( h & CGAL_MANTISSA_DOUBLE_MASK ) != 0) || (( l & 0xffffffff ) != 0); } template<> class Is_valid< double > : public CGAL::cpp98::unary_function< double, bool > { public : bool operator()( const double& x ) const{ double d = x; IEEE_754_double* p = reinterpret_cast(&d); return ! ( is_nan_by_mask_double( p->c.H, p->c.L )); } }; #else template<> class Is_valid< double > : public CGAL::cpp98::unary_function< double, bool > { public : bool operator()( const double& x ) const { #ifdef _MSC_VER return ! _isnan(x); #else return (x == x); #endif } }; #endif template <> class Algebraic_structure_traits< double > : public Algebraic_structure_traits_base< 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, 1.0 / double(k)); } }; }; #ifdef CGAL_USE_SSE2_FABS inline double sse2fabs(double a) { static CGAL_ALIGN_16 const union{ __int64 i[2]; __m128d m; } absMask = { {0x7fffffffffffffff, 0x7fffffffffffffff} }; __m128d temp = _mm_set1_pd(a); temp = _mm_and_pd(temp, absMask.m); return _mm_cvtsd_f64 (temp); } #endif template <> class Real_embeddable_traits< double > : public INTERN_RET::Real_embeddable_traits_base< double , CGAL::Tag_true> { public: // GCC is faster with std::fabs(). #if defined(__GNUG__) || defined(CGAL_MSVC_USE_STD_FABS) || defined(CGAL_USE_SSE2_FABS) class Abs : public CGAL::cpp98::unary_function< Type, Type > { public: Type operator()( const Type& x ) const { #ifdef CGAL_USE_SSE2_FABS return sse2fabs(x); #else return std::fabs( x ); #endif } }; #endif // Is_finite depends on platform class Is_finite : public CGAL::cpp98::unary_function< Type, bool > { public : bool operator()( const Type& x ) const { #if defined CGAL_CFG_IEEE_754_BUG Type d = x; IEEE_754_double* p = reinterpret_cast(&d); return is_finite_by_mask_double( p->c.H ); #else return std::isfinite(x); #endif } }; }; inline double nextafter(double d1, double d2) { #ifdef CGAL_CFG_NO_NEXTAFTER return _nextafter(d1, d2); // works at least for VC++-7.1 #else return ::nextafter(d1,d2); #endif } inline bool is_integer(double d) { return CGAL::is_finite(d) && (std::ceil(d) == d); } // Returns a pair of integers such that d == num/den. inline std::pair split_numerator_denominator(double d) { // Note that it could probably be optimized. double num = d; double den = 1.0; while (std::ceil(num) != num) { num *= 2.0; den *= 2.0; } CGAL_postcondition(d == num/den); return std::make_pair(num, den); } } //namespace CGAL #endif // CGAL_DOUBLE_H