2014-07-19 11:03:13 +00:00
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/*=============================================================================
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2017-07-29 05:20:01 +00:00
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Copyright (c) 2011-2017 Bolero MURAKAMI
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2014-07-19 11:03:13 +00:00
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https://github.com/bolero-MURAKAMI/Sprout
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Distributed under the Boost Software License, Version 1.0. (See accompanying
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file LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt)
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=============================================================================*/
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#ifndef SPROUT_COMPLEX_POLER_HPP
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#define SPROUT_COMPLEX_POLER_HPP
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#include <type_traits>
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#include <sprout/config.hpp>
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#include <sprout/limits.hpp>
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#include <sprout/complex/complex.hpp>
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#include <sprout/math/isnan.hpp>
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#include <sprout/math/isinf.hpp>
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#include <sprout/math/signbit.hpp>
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#include <sprout/math/cos.hpp>
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#include <sprout/math/sin.hpp>
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#include <sprout/type_traits/complex_promote.hpp>
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#include <sprout/type_traits/enabler_if.hpp>
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namespace sprout {
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//
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// polar
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//
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namespace detail {
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template<typename T>
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inline SPROUT_CONSTEXPR sprout::complex<T>
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polar_impl(T const& x, T const& y) {
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return sprout::complex<T>(
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sprout::math::isnan(x) ? T() : x,
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sprout::math::isnan(y) ? T() : y
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);
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}
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} // namespace detail
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template<typename T>
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inline SPROUT_CONSTEXPR sprout::complex<T>
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polar(T const& rho, T const& theta = T()) {
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typedef sprout::complex<T> type;
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return sprout::math::isnan(rho) || sprout::math::signbit(rho)
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? type(sprout::numeric_limits<T>::quiet_NaN(), sprout::numeric_limits<T>::quiet_NaN())
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: sprout::math::isnan(theta)
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? sprout::math::isinf(rho) ? type(rho, theta)
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: type(theta, theta)
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: sprout::math::isinf(theta)
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? sprout::math::isinf(rho) ? type(rho, sprout::numeric_limits<T>::quiet_NaN())
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: type(sprout::numeric_limits<T>::quiet_NaN(), sprout::numeric_limits<T>::quiet_NaN())
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: sprout::detail::polar_impl(rho * sprout::math::cos(theta), rho * sprout::math::sin(theta))
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;
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}
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template<
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typename ArithmeticType1, typename ArithmeticType2,
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typename sprout::enabler_if<std::is_arithmetic<ArithmeticType1>::value && std::is_arithmetic<ArithmeticType2>::value>::type = sprout::enabler
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>
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inline SPROUT_CONSTEXPR typename sprout::complex_promote<ArithmeticType1, ArithmeticType2>::type
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polar(ArithmeticType1 const& rho, ArithmeticType2 const& theta) {
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typedef typename sprout::complex_promote<ArithmeticType1, ArithmeticType2>::type::value_type value_type;
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return sprout::polar(static_cast<value_type>(rho), static_cast<value_type>(theta));
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}
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} // namespace sprout
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#endif // #ifndef SPROUT_COMPLEX_POLER_HPP
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