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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
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