ceph/src/boost/boost/math/complex/asinh.hpp

   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