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// (C) Copyright John Maddock 2005.
// Use, modification and distribution are subject to the
// Boost Software License, Version 1.0. (See accompanying file
// LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt)
#ifndef BOOST_MATH_COMPLEX_ACOSH_INCLUDED
#define BOOST_MATH_COMPLEX_ACOSH_INCLUDED
#ifndef BOOST_MATH_COMPLEX_DETAILS_INCLUDED
# include <boost/math/complex/details.hpp>
#endif
#ifndef BOOST_MATH_COMPLEX_ATANH_INCLUDED
# include <boost/math/complex/acos.hpp>
#endif
namespace boost{ namespace math{
template<class T>
inline std::complex<T> acosh(const std::complex<T>& z)
{
//
// We use the relation acosh(z) = +-i acos(z)
// Choosing the sign of multiplier to give real(acosh(z)) >= 0
// as well as compatibility with C99.
//
std::complex<T> result = boost::math::acos(z);
if(!detail::test_is_nan(result.imag()) && result.imag() <= 0)
return detail::mult_i(result);
return detail::mult_minus_i(result);
}
} } // namespaces
#endif // BOOST_MATH_COMPLEX_ACOSH_INCLUDED