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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_ATAN_INCLUDED
#define BOOST_MATH_COMPLEX_ATAN_INCLUDED
#ifndef BOOST_MATH_COMPLEX_DETAILS_INCLUDED
# include <boost/math/complex/details.hpp>
#endif
#ifndef BOOST_MATH_COMPLEX_ATANH_INCLUDED
# include <boost/math/complex/atanh.hpp>
#endif
namespace boost{ namespace math{
template<class T>
std::complex<T> atan(const std::complex<T>& x)
{
//
// We're using the C99 definition here; atan(z) = -i atanh(iz):
//
if(x.real() == 0)
{
if(x.imag() == 1)
return std::complex<T>(0, std::numeric_limits<T>::has_infinity ? std::numeric_limits<T>::infinity() : static_cast<T>(HUGE_VAL));
if(x.imag() == -1)
return std::complex<T>(0, std::numeric_limits<T>::has_infinity ? -std::numeric_limits<T>::infinity() : -static_cast<T>(HUGE_VAL));
}
return ::boost::math::detail::mult_minus_i(::boost::math::atanh(::boost::math::detail::mult_i(x)));
}
} } // namespaces
#endif // BOOST_MATH_COMPLEX_ATAN_INCLUDED