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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 | ||
16 | namespace boost{ namespace math{ | |
17 | ||
18 | template<class T> | |
19 | inline 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 |