Chris@16: //  (C) Copyright John Maddock 2005.
Chris@16: //  Use, modification and distribution are subject to the
Chris@16: //  Boost Software License, Version 1.0. (See accompanying file
Chris@16: //  LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt)
Chris@16: 
Chris@16: #ifndef BOOST_MATH_COMPLEX_ASINH_INCLUDED
Chris@16: #define BOOST_MATH_COMPLEX_ASINH_INCLUDED
Chris@16: 
Chris@16: #ifndef BOOST_MATH_COMPLEX_DETAILS_INCLUDED
Chris@16: #  include <boost/math/complex/details.hpp>
Chris@16: #endif
Chris@16: #ifndef BOOST_MATH_COMPLEX_ASIN_INCLUDED
Chris@16: #  include <boost/math/complex/asin.hpp>
Chris@16: #endif
Chris@16: 
Chris@16: namespace boost{ namespace math{
Chris@16: 
Chris@16: template<class T> 
Chris@16: inline std::complex<T> asinh(const std::complex<T>& x)
Chris@16: {
Chris@16:    //
Chris@16:    // We use asinh(z) = i asin(-i z);
Chris@16:    // Note that C99 defines this the other way around (which is
Chris@16:    // to say asin is specified in terms of asinh), this is consistent
Chris@16:    // with C99 though:
Chris@16:    //
Chris@16:    return ::boost::math::detail::mult_i(::boost::math::asin(::boost::math::detail::mult_minus_i(x)));
Chris@16: }
Chris@16: 
Chris@16: } } // namespaces
Chris@16: 
Chris@16: #endif // BOOST_MATH_COMPLEX_ASINH_INCLUDED