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