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46 lines
1.6 KiB
C++
46 lines
1.6 KiB
C++
/*=============================================================================
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Copyright (c) 2011-2018 Bolero MURAKAMI
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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_NORM_HPP
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#define SPROUT_COMPLEX_NORM_HPP
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#include <type_traits>
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#include <sprout/config.hpp>
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#include <sprout/type_traits/float_promote.hpp>
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#include <sprout/type_traits/enabler_if.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/complex/complex.hpp>
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namespace sprout {
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//
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// norm
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//
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template<typename T>
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inline SPROUT_CONSTEXPR T
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norm(sprout::complex<T> const& x) {
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return sprout::math::isinf(x.imag()) || sprout::math::isinf(x.real()) ? sprout::numeric_limits<T>::infinity()
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: sprout::math::isnan(x.real()) ? x.real()
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: sprout::math::isnan(x.imag()) ? x.imag()
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: x.real() * x.real() + x.imag() * x.imag()
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;
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}
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template<
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typename ArithmeticType,
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typename sprout::enabler_if<std::is_arithmetic<ArithmeticType>::value>::type = sprout::enabler
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>
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inline SPROUT_CONSTEXPR typename sprout::float_promote<ArithmeticType>::type
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norm(ArithmeticType x) {
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typedef typename sprout::float_promote<ArithmeticType>::type type;
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return sprout::math::isinf(x) ? sprout::numeric_limits<type>::infinity()
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: sprout::math::isnan(x) ? type(x)
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: type(x) * type(x)
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;
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}
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} // namespace sprout
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#endif // #ifndef SPROUT_COMPLEX_NORM_HPP
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