Sprout/sprout/complex/norm.hpp
2014-07-19 20:03:13 +09:00

37 lines
1.2 KiB
C++

/*=============================================================================
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_NORM_HPP
#define SPROUT_COMPLEX_NORM_HPP
#include <type_traits>
#include <sprout/config.hpp>
#include <sprout/complex/complex.hpp>
#include <sprout/type_traits/float_promote.hpp>
#include <sprout/type_traits/enabler_if.hpp>
namespace sprout {
//
// norm
//
template<typename T>
inline SPROUT_CONSTEXPR T
norm(sprout::complex<T> const& x) {
return 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 type(x) * type(x);
}
} // namespace sprout
#endif // #ifndef SPROUT_COMPLEX_NORM_HPP