// (C) Copyright John Maddock 2005.
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// Use, modification and distribution are subject to the
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// Boost Software License, Version 1.0. (See accompanying file
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// LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt)
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#ifndef BOOST_MATH_COMPLEX_ATAN_INCLUDED
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#define BOOST_MATH_COMPLEX_ATAN_INCLUDED
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#ifndef BOOST_MATH_COMPLEX_DETAILS_INCLUDED
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# include <boost/math/complex/details.hpp>
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#endif
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#ifndef BOOST_MATH_COMPLEX_ATANH_INCLUDED
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# include <boost/math/complex/atanh.hpp>
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#endif
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namespace boost{ namespace math{
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template<class T>
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std::complex<T> atan(const std::complex<T>& x)
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{
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//
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// We're using the C99 definition here; atan(z) = -i atanh(iz):
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//
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if(x.real() == 0)
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{
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if(x.imag() == 1)
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return std::complex<T>(0, std::numeric_limits<T>::has_infinity ? std::numeric_limits<T>::infinity() : static_cast<T>(HUGE_VAL));
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if(x.imag() == -1)
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return std::complex<T>(0, std::numeric_limits<T>::has_infinity ? -std::numeric_limits<T>::infinity() : -static_cast<T>(HUGE_VAL));
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}
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return ::boost::math::detail::mult_minus_i(::boost::math::atanh(::boost::math::detail::mult_i(x)));
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}
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} } // namespaces
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#endif // BOOST_MATH_COMPLEX_ATAN_INCLUDED
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