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re-implementation complex transcendental functions

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This commit is contained in:
bolero-MURAKAMI 2014-07-19 20:03:13 +09:00
parent c830cab086
commit 22c3f6e132
32 changed files with 1460 additions and 486 deletions
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sprout/complex/polar.hpp Normal file
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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_POLER_HPP
#define SPROUT_COMPLEX_POLER_HPP
#include <type_traits>
#include <sprout/config.hpp>
#include <sprout/limits.hpp>
#include <sprout/complex/complex.hpp>
#include <sprout/math/isnan.hpp>
#include <sprout/math/isinf.hpp>
#include <sprout/math/signbit.hpp>
#include <sprout/math/cos.hpp>
#include <sprout/math/sin.hpp>
#include <sprout/type_traits/complex_promote.hpp>
#include <sprout/type_traits/enabler_if.hpp>
namespace sprout {
//
// polar
//
namespace detail {
template<typename T>
inline SPROUT_CONSTEXPR sprout::complex<T>
polar_impl(T const& x, T const& y) {
return sprout::complex<T>(
sprout::math::isnan(x) ? T() : x,
sprout::math::isnan(y) ? T() : y
);
}
} // namespace detail
template<typename T>
inline SPROUT_CONSTEXPR sprout::complex<T>
polar(T const& rho, T const& theta = T()) {
typedef sprout::complex<T> type;
return sprout::math::isnan(rho) || sprout::math::signbit(rho)
? type(sprout::numeric_limits<T>::quiet_NaN(), sprout::numeric_limits<T>::quiet_NaN())
: sprout::math::isnan(theta)
? sprout::math::isinf(rho) ? type(rho, theta)
: type(theta, theta)
: sprout::math::isinf(theta)
? sprout::math::isinf(rho) ? type(rho, sprout::numeric_limits<T>::quiet_NaN())
: type(sprout::numeric_limits<T>::quiet_NaN(), sprout::numeric_limits<T>::quiet_NaN())
: sprout::detail::polar_impl(rho * sprout::math::cos(theta), rho * sprout::math::sin(theta))
;
}
template<
typename ArithmeticType1, typename ArithmeticType2,
typename sprout::enabler_if<std::is_arithmetic<ArithmeticType1>::value && std::is_arithmetic<ArithmeticType2>::value>::type = sprout::enabler
>
inline SPROUT_CONSTEXPR typename sprout::complex_promote<ArithmeticType1, ArithmeticType2>::type
polar(ArithmeticType1 const& rho, ArithmeticType2 const& theta) {
typedef typename sprout::complex_promote<ArithmeticType1, ArithmeticType2>::type::value_type value_type;
return sprout::polar(static_cast<value_type>(rho), static_cast<value_type>(theta));
}
} // namespace sprout
#endif // #ifndef SPROUT_COMPLEX_POLER_HPP