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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_ATAN_INCLUDED
7#define BOOST_MATH_COMPLEX_ATAN_INCLUDED
8
9#ifndef BOOST_MATH_COMPLEX_DETAILS_INCLUDED
10# include <boost/math/complex/details.hpp>
11#endif
12#ifndef BOOST_MATH_COMPLEX_ATANH_INCLUDED
13# include <boost/math/complex/atanh.hpp>
14#endif
15
16namespace boost{ namespace math{
17
18template<class T>
19std::complex<T> atan(const std::complex<T>& x)
20{
21 //
22 // We're using the C99 definition here; atan(z) = -i atanh(iz):
23 //
24 if(x.real() == 0)
25 {
26 if(x.imag() == 1)
27 return std::complex<T>(0, std::numeric_limits<T>::has_infinity ? std::numeric_limits<T>::infinity() : static_cast<T>(HUGE_VAL));
28 if(x.imag() == -1)
29 return std::complex<T>(0, std::numeric_limits<T>::has_infinity ? -std::numeric_limits<T>::infinity() : -static_cast<T>(HUGE_VAL));
30 }
31 return ::boost::math::detail::mult_minus_i(::boost::math::atanh(::boost::math::detail::mult_i(x)));
32}
33
34} } // namespaces
35
36#endif // BOOST_MATH_COMPLEX_ATAN_INCLUDED