1 // (C) Copyright John Maddock 2005.
2 // Use, modification and distribution are subject to the
3 // Boost Software License, Version 1.0. (See accompanying file
4 // LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt)
6 #ifndef BOOST_MATH_COMPLEX_ASINH_INCLUDED
7 #define BOOST_MATH_COMPLEX_ASINH_INCLUDED
9 #ifndef BOOST_MATH_COMPLEX_DETAILS_INCLUDED
10 # include <boost/math/complex/details.hpp>
12 #ifndef BOOST_MATH_COMPLEX_ASINH_INCLUDED
13 # include <boost/math/complex/asinh.hpp>
16 namespace boost{ namespace math{
19 inline std::complex<T> asinh(const std::complex<T>& x)
22 // We use asinh(z) = i asin(-i z);
23 // Note that C99 defines this the other way around (which is
24 // to say asin is specified in terms of asinh), this is consistent
27 return ::boost::math::detail::mult_i(::boost::math::asin(::boost::math::detail::mult_minus_i(x)));
32 #endif // BOOST_MATH_COMPLEX_ASINH_INCLUDED