williamr@4: //  (C) Copyright John Maddock 2005.
williamr@4: //  Use, modification and distribution are subject to the
williamr@4: //  Boost Software License, Version 1.0. (See accompanying file
williamr@4: //  LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt)
williamr@2: 
williamr@4: #ifndef BOOST_MATH_COMPLEX_ASINH_INCLUDED
williamr@4: #define BOOST_MATH_COMPLEX_ASINH_INCLUDED
williamr@2: 
williamr@4: #ifndef BOOST_MATH_COMPLEX_DETAILS_INCLUDED
williamr@4: #  include <boost/math/complex/details.hpp>
williamr@4: #endif
williamr@4: #ifndef BOOST_MATH_COMPLEX_ASINH_INCLUDED
williamr@4: #  include <boost/math/complex/asinh.hpp>
williamr@4: #endif
williamr@2: 
williamr@4: namespace boost{ namespace math{
williamr@2: 
williamr@4: template<class T> 
williamr@4: inline std::complex<T> asinh(const std::complex<T>& x)
williamr@2: {
williamr@4:    //
williamr@4:    // We use asinh(z) = i asin(-i z);
williamr@4:    // Note that C99 defines this the other way around (which is
williamr@4:    // to say asin is specified in terms of asinh), this is consistent
williamr@4:    // with C99 though:
williamr@4:    //
williamr@4:    return ::boost::math::detail::mult_i(::boost::math::asin(::boost::math::detail::mult_minus_i(x)));
williamr@2: }
williamr@2: 
williamr@4: } } // namespaces
williamr@4: 
williamr@4: #endif // BOOST_MATH_COMPLEX_ASINH_INCLUDED