Sprout/sprout/complex/atan.hpp

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/*=============================================================================
Copyright (c) 2011-2014 Bolero MURAKAMI
https://github.com/bolero-MURAKAMI/Sprout
Distributed under 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 SPROUT_COMPLEX_ATAN_HPP
#define SPROUT_COMPLEX_ATAN_HPP
#include <sprout/config.hpp>
#include <sprout/complex/complex.hpp>
#include <sprout/complex/operators.hpp>
#include <sprout/complex/perp.hpp>
#include <sprout/complex/atanh.hpp>
namespace sprout {
//
// atan
//
// catan(z) = -i catanh(iz)
//
template<typename T>
inline SPROUT_CONSTEXPR sprout::complex<T>
atan(sprout::complex<T> const& x) {
return -sprout::perp(sprout::atanh(sprout::perp(x)));
}
} // namespace sprout
#endif // #ifndef SPROUT_COMPLEX_ATAN_HPP