// (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