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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_ACOSH_INCLUDED
7 #define BOOST_MATH_COMPLEX_ACOSH_INCLUDED
8
9 #ifndef BOOST_MATH_COMPLEX_DETAILS_INCLUDED
10 # include <boost/math/complex/details.hpp>
11 #endif
12 #ifndef BOOST_MATH_COMPLEX_ATANH_INCLUDED
13 # include <boost/math/complex/acos.hpp>
14 #endif
15
16 namespace boost{ namespace math{
17
18 template<class T>
19 inline std::complex<T> acosh(const std::complex<T>& z)
20 {
21 //
22 // We use the relation acosh(z) = +-i acos(z)
23 // Choosing the sign of multiplier to give real(acosh(z)) >= 0
24 // as well as compatibility with C99.
25 //
26 std::complex<T> result = boost::math::acos(z);
27 if(!(boost::math::isnan)(result.imag()) && signbit(result.imag()))
28 return detail::mult_i(result);
29 return detail::mult_minus_i(result);
30 }
31
32 } } // namespaces
33
34 #endif // BOOST_MATH_COMPLEX_ACOSH_INCLUDED