mirror of
https://github.com/bolero-MURAKAMI/Sprout
synced 2024-11-12 21:09:01 +00:00
46 lines
1.6 KiB
C++
46 lines
1.6 KiB
C++
/*=============================================================================
|
|
Copyright (c) 2011-2016 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_NORM_HPP
|
|
#define SPROUT_COMPLEX_NORM_HPP
|
|
|
|
#include <type_traits>
|
|
#include <sprout/config.hpp>
|
|
#include <sprout/type_traits/float_promote.hpp>
|
|
#include <sprout/type_traits/enabler_if.hpp>
|
|
#include <sprout/math/isnan.hpp>
|
|
#include <sprout/math/isinf.hpp>
|
|
#include <sprout/complex/complex.hpp>
|
|
|
|
namespace sprout {
|
|
//
|
|
// norm
|
|
//
|
|
template<typename T>
|
|
inline SPROUT_CONSTEXPR T
|
|
norm(sprout::complex<T> const& x) {
|
|
return sprout::math::isinf(x.imag()) || sprout::math::isinf(x.real()) ? sprout::numeric_limits<T>::infinity()
|
|
: sprout::math::isnan(x.real()) ? x.real()
|
|
: sprout::math::isnan(x.imag()) ? x.imag()
|
|
: x.real() * x.real() + x.imag() * x.imag()
|
|
;
|
|
}
|
|
template<
|
|
typename ArithmeticType,
|
|
typename sprout::enabler_if<std::is_arithmetic<ArithmeticType>::value>::type = sprout::enabler
|
|
>
|
|
inline SPROUT_CONSTEXPR typename sprout::float_promote<ArithmeticType>::type
|
|
norm(ArithmeticType x) {
|
|
typedef typename sprout::float_promote<ArithmeticType>::type type;
|
|
return sprout::math::isinf(x) ? sprout::numeric_limits<type>::infinity()
|
|
: sprout::math::isnan(x) ? type(x)
|
|
: type(x) * type(x)
|
|
;
|
|
}
|
|
} // namespace sprout
|
|
|
|
#endif // #ifndef SPROUT_COMPLEX_NORM_HPP
|