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> asinh(const std::complex<T> & x)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 33