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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)
5
6#ifndef BOOST_MATH_COMPLEX_ASINH_INCLUDED
7#define BOOST_MATH_COMPLEX_ASINH_INCLUDED
8
9#ifndef BOOST_MATH_COMPLEX_DETAILS_INCLUDED
10# include <boost/math/complex/details.hpp>
11#endif
12#ifndef BOOST_MATH_COMPLEX_ASIN_INCLUDED
13# include <boost/math/complex/asin.hpp>
14#endif
15
16namespace boost{ namespace math{
17
18template<class T>
19inline std::complex<T> asinh(const std::complex<T>& x)
20{
21 //
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
25 // with C99 though:
26 //
27 return ::boost::math::detail::mult_i(::boost::math::asin(::boost::math::detail::mult_minus_i(x)));
28}
29
30} } // namespaces
31
32#endif // BOOST_MATH_COMPLEX_ASINH_INCLUDED