mirror of
https://github.com/bolero-MURAKAMI/Sprout.git
synced 2024-12-27 21:45:42 +00:00
59 lines
2.1 KiB
C++
59 lines
2.1 KiB
C++
/*=============================================================================
|
|
Copyright (c) 2011-2018 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_POW_HPP
|
|
#define SPROUT_COMPLEX_POW_HPP
|
|
|
|
#include <sprout/config.hpp>
|
|
#include <sprout/math/pow.hpp>
|
|
#include <sprout/complex/complex.hpp>
|
|
#include <sprout/complex/arithmetic_operators.hpp>
|
|
#include <sprout/complex/exp.hpp>
|
|
#include <sprout/complex/log.hpp>
|
|
|
|
namespace sprout {
|
|
//
|
|
// pow
|
|
//
|
|
// G.6.4.1 The cpow functions
|
|
// 1 The cpow functions raise floating-point exceptions if appropriate for the calculation of
|
|
// the parts of the result, and may raise spurious exceptions.317)
|
|
//
|
|
// 317) This allows cpow(z, c) to be implemented as cexp(c clog(z)) without precluding
|
|
// implementations that treat special cases more carefully.
|
|
//
|
|
template<typename T>
|
|
inline SPROUT_CONSTEXPR sprout::complex<T>
|
|
pow(sprout::complex<T> const& x, sprout::complex<T> const& y) {
|
|
return x == T() ? T()
|
|
: sprout::exp(y * sprout::log(x))
|
|
;
|
|
}
|
|
namespace detail {
|
|
template<typename T>
|
|
inline SPROUT_CONSTEXPR sprout::complex<T> pow_impl(sprout::complex<T> const& t, T const& y) {
|
|
return sprout::polar(sprout::exp(y * t.real()), y * t.imag());
|
|
}
|
|
} // namespace detail
|
|
template<typename T>
|
|
inline SPROUT_CONSTEXPR sprout::complex<T>
|
|
pow(sprout::complex<T> const& x, T const& y) {
|
|
return x == T() ? T()
|
|
: x.imag() == T() && x.real() > T() ? sprout::math::pow(x.real(), y)
|
|
: sprout::detail::pow_impl(sprout::log(x), y)
|
|
;
|
|
}
|
|
template<typename T>
|
|
inline SPROUT_CONSTEXPR sprout::complex<T>
|
|
pow(T const& x, sprout::complex<T> const& y) {
|
|
return x > T() ? sprout::polar(sprout::pow(x, y.real()), y.imag() * sprout::log(x))
|
|
: sprout::pow(sprout::complex<T>(x), y)
|
|
;
|
|
}
|
|
} // namespace sprout
|
|
|
|
#endif // #ifndef SPROUT_COMPLEX_POW_HPP
|