// (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 |