details.hpp
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// (C) Copyright John Maddock 2005.
// 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_COMPLEX_DETAILS_INCLUDED
#define BOOST_MATH_COMPLEX_DETAILS_INCLUDED
//
// This header contains all the support code that is common to the
// inverse trig complex functions, it also contains all the includes
// that we need to implement all these functions.
//
#include <cmath>
#include <complex>
#include <limits>
#include <boost/math/special_functions/sign.hpp>
#include <boost/math/special_functions/fpclassify.hpp>
#include <boost/math/special_functions/sign.hpp>
#include <boost/math/constants/constants.hpp>
namespace boost{ namespace math{ namespace detail{
template <class T>
inline T mult_minus_one(const T& t)
{
return (boost::math::isnan)(t) ? t : (boost::math::changesign)(t);
}
template <class T>
inline std::complex<T> mult_i(const std::complex<T>& t)
{
return std::complex<T>(mult_minus_one(t.imag()), t.real());
}
template <class T>
inline std::complex<T> mult_minus_i(const std::complex<T>& t)
{
return std::complex<T>(t.imag(), mult_minus_one(t.real()));
}
template <class T>
inline T safe_max(T t)
{
return std::sqrt((std::numeric_limits<T>::max)()) / t;
}
inline long double safe_max(long double t)
{
// long double sqrt often returns infinity due to
// insufficient internal precision:
return std::sqrt((std::numeric_limits<double>::max)()) / t;
}
template <class T>
inline T safe_min(T t)
{
return std::sqrt((std::numeric_limits<T>::min)()) * t;
}
inline long double safe_min(long double t)
{
// long double sqrt often returns zero due to
// insufficient internal precision:
return std::sqrt((std::numeric_limits<double>::min)()) * t;
}
} } } // namespaces
#endif // BOOST_MATH_COMPLEX_DETAILS_INCLUDED