195 lines
		
	
	
		
			5.7 KiB
		
	
	
	
		
			Plaintext
		
	
	
	
	
	
		
		
			
		
	
	
			195 lines
		
	
	
		
			5.7 KiB
		
	
	
	
		
			Plaintext
		
	
	
	
	
	
|   | //  (C) Copyright John Maddock 2006. | ||
|  | //  (C) Copyright Johan Rade 2006. | ||
|  | //  (C) Copyright Paul A. Bristow 2011 (added changesign). | ||
|  | 
 | ||
|  | //  Use, modification and distribution are subject to the | ||
|  | //  Boost Software License, Version 1.0. (See accompanying file | ||
|  | //  LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt) | ||
|  | 
 | ||
|  | #ifndef BOOST_MATH_TOOLS_SIGN_HPP | ||
|  | #define BOOST_MATH_TOOLS_SIGN_HPP | ||
|  | 
 | ||
|  | #ifdef _MSC_VER | ||
|  | #pragma once | ||
|  | #endif | ||
|  | 
 | ||
|  | #include <boost/math/tools/config.hpp> | ||
|  | #include <boost/math/special_functions/math_fwd.hpp> | ||
|  | #include <boost/math/special_functions/detail/fp_traits.hpp> | ||
|  | 
 | ||
|  | namespace boost{ namespace math{  | ||
|  | 
 | ||
|  | namespace detail { | ||
|  | 
 | ||
|  |   // signbit | ||
|  | 
 | ||
|  | #ifdef BOOST_MATH_USE_STD_FPCLASSIFY | ||
|  |     template<class T>  | ||
|  |     inline int signbit_impl(T x, native_tag const&) | ||
|  |     { | ||
|  |         return (std::signbit)(x); | ||
|  |     } | ||
|  | #endif | ||
|  | 
 | ||
|  |     // Generic versions first, note that these do not handle | ||
|  |     // signed zero or NaN. | ||
|  | 
 | ||
|  |     template<class T> | ||
|  |     inline int signbit_impl(T x, generic_tag<true> const&) | ||
|  |     { | ||
|  |         return x < 0; | ||
|  |     } | ||
|  | 
 | ||
|  |     template<class T>  | ||
|  |     inline int signbit_impl(T x, generic_tag<false> const&) | ||
|  |     { | ||
|  |         return x < 0; | ||
|  |     } | ||
|  | 
 | ||
|  | #if defined(__GNUC__) && (LDBL_MANT_DIG == 106) | ||
|  |     // | ||
|  |     // Special handling for GCC's "double double" type,  | ||
|  |     // in this case the sign is the same as the sign we | ||
|  |     // get by casting to double, no overflow/underflow | ||
|  |     // can occur since the exponents are the same magnitude | ||
|  |     // for the two types: | ||
|  |     // | ||
|  |     inline int signbit_impl(long double x, generic_tag<true> const&) | ||
|  |     { | ||
|  |        return (boost::math::signbit)(static_cast<double>(x)); | ||
|  |     } | ||
|  |     inline int signbit_impl(long double x, generic_tag<false> const&) | ||
|  |     { | ||
|  |        return (boost::math::signbit)(static_cast<double>(x)); | ||
|  |     } | ||
|  | #endif | ||
|  | 
 | ||
|  |     template<class T> | ||
|  |     inline int signbit_impl(T x, ieee_copy_all_bits_tag const&) | ||
|  |     { | ||
|  |         typedef BOOST_DEDUCED_TYPENAME fp_traits<T>::type traits; | ||
|  | 
 | ||
|  |         BOOST_DEDUCED_TYPENAME traits::bits a; | ||
|  |         traits::get_bits(x,a); | ||
|  |         return a & traits::sign ? 1 : 0; | ||
|  |     } | ||
|  | 
 | ||
|  |     template<class T>  | ||
|  |     inline int signbit_impl(T x, ieee_copy_leading_bits_tag const&) | ||
|  |     { | ||
|  |         typedef BOOST_DEDUCED_TYPENAME fp_traits<T>::type traits; | ||
|  | 
 | ||
|  |         BOOST_DEDUCED_TYPENAME traits::bits a; | ||
|  |         traits::get_bits(x,a); | ||
|  | 
 | ||
|  |         return a & traits::sign ? 1 : 0; | ||
|  |     } | ||
|  | 
 | ||
|  |     // Changesign | ||
|  |      | ||
|  |     // Generic versions first, note that these do not handle | ||
|  |     // signed zero or NaN. | ||
|  | 
 | ||
|  |     template<class T> | ||
|  |     inline T (changesign_impl)(T x, generic_tag<true> const&) | ||
|  |     { | ||
|  |         return -x; | ||
|  |     } | ||
|  | 
 | ||
|  |     template<class T> | ||
|  |     inline T (changesign_impl)(T x, generic_tag<false> const&) | ||
|  |     { | ||
|  |         return -x; | ||
|  |     } | ||
|  | #if defined(__GNUC__) && (LDBL_MANT_DIG == 106) | ||
|  |     // | ||
|  |     // Special handling for GCC's "double double" type,  | ||
|  |     // in this case we need to change the sign of both | ||
|  |     // components of the "double double": | ||
|  |     // | ||
|  |     inline long double (changesign_impl)(long double x, generic_tag<true> const&) | ||
|  |     { | ||
|  |        double* pd = reinterpret_cast<double*>(&x); | ||
|  |        pd[0] = boost::math::changesign(pd[0]); | ||
|  |        pd[1] = boost::math::changesign(pd[1]); | ||
|  |        return x; | ||
|  |     } | ||
|  |     inline long double (changesign_impl)(long double x, generic_tag<false> const&) | ||
|  |     { | ||
|  |        double* pd = reinterpret_cast<double*>(&x); | ||
|  |        pd[0] = boost::math::changesign(pd[0]); | ||
|  |        pd[1] = boost::math::changesign(pd[1]); | ||
|  |        return x; | ||
|  |     } | ||
|  | #endif | ||
|  | 
 | ||
|  |     template<class T> | ||
|  |     inline T changesign_impl(T x, ieee_copy_all_bits_tag const&) | ||
|  |     { | ||
|  |         typedef BOOST_DEDUCED_TYPENAME fp_traits<T>::sign_change_type traits; | ||
|  | 
 | ||
|  |         BOOST_DEDUCED_TYPENAME traits::bits a; | ||
|  |         traits::get_bits(x,a); | ||
|  |         a ^= traits::sign; | ||
|  |         traits::set_bits(x,a); | ||
|  |         return x; | ||
|  |     } | ||
|  | 
 | ||
|  |     template<class T> | ||
|  |     inline T (changesign_impl)(T x, ieee_copy_leading_bits_tag const&) | ||
|  |     { | ||
|  |         typedef BOOST_DEDUCED_TYPENAME fp_traits<T>::sign_change_type traits; | ||
|  | 
 | ||
|  |         BOOST_DEDUCED_TYPENAME traits::bits a; | ||
|  |         traits::get_bits(x,a); | ||
|  |         a ^= traits::sign; | ||
|  |         traits::set_bits(x,a); | ||
|  |         return x; | ||
|  |     } | ||
|  | 
 | ||
|  | 
 | ||
|  | }   // namespace detail | ||
|  | 
 | ||
|  | template<class T> int (signbit)(T x) | ||
|  | {  | ||
|  |    typedef typename detail::fp_traits<T>::type traits; | ||
|  |    typedef typename traits::method method; | ||
|  |    // typedef typename boost::is_floating_point<T>::type fp_tag; | ||
|  |    typedef typename tools::promote_args_permissive<T>::type result_type; | ||
|  |    return detail::signbit_impl(static_cast<result_type>(x), method()); | ||
|  | } | ||
|  | 
 | ||
|  | template <class T> | ||
|  | inline int sign BOOST_NO_MACRO_EXPAND(const T& z) | ||
|  | { | ||
|  |    return (z == 0) ? 0 : (boost::math::signbit)(z) ? -1 : 1; | ||
|  | } | ||
|  | 
 | ||
|  | template <class T> typename tools::promote_args_permissive<T>::type (changesign)(const T& x) | ||
|  | { //!< \brief return unchanged binary pattern of x, except for change of sign bit.  | ||
|  |    typedef typename detail::fp_traits<T>::sign_change_type traits; | ||
|  |    typedef typename traits::method method; | ||
|  |    // typedef typename boost::is_floating_point<T>::type fp_tag; | ||
|  |    typedef typename tools::promote_args_permissive<T>::type result_type; | ||
|  | 
 | ||
|  |    return detail::changesign_impl(static_cast<result_type>(x), method()); | ||
|  | } | ||
|  | 
 | ||
|  | template <class T, class U> | ||
|  | inline typename tools::promote_args_permissive<T, U>::type  | ||
|  |    copysign BOOST_NO_MACRO_EXPAND(const T& x, const U& y) | ||
|  | { | ||
|  |    BOOST_MATH_STD_USING | ||
|  |    typedef typename tools::promote_args_permissive<T, U>::type result_type; | ||
|  |    return (boost::math::signbit)(static_cast<result_type>(x)) != (boost::math::signbit)(static_cast<result_type>(y))  | ||
|  |       ? (boost::math::changesign)(static_cast<result_type>(x)) : static_cast<result_type>(x); | ||
|  | } | ||
|  | 
 | ||
|  | } // namespace math | ||
|  | } // namespace boost | ||
|  | 
 | ||
|  | 
 | ||
|  | #endif // BOOST_MATH_TOOLS_SIGN_HPP | ||
|  | 
 | ||
|  | 
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