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Sprout/sprout/math/quaternion/abs.hpp
2016-02-27 01:21:46 +09:00

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/*=============================================================================
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_MATH_QUATERNION_ABS_HPP
#define SPROUT_MATH_QUATERNION_ABS_HPP
#include <sprout/config.hpp>
#include <sprout/array/array.hpp>
#include <sprout/math/sqrt.hpp>
#include <sprout/math/quaternion/quaternion.hpp>
#include <sprout/math/quaternion/detail/abs_max.hpp>
#include <sprout/math/quaternion/detail/sum.hpp>
#include <sprout/math/quaternion/detail/mul.hpp>
namespace sprout {
namespace math {
//
// abs
//
namespace detail {
template<typename T>
inline SPROUT_CONSTEXPR T
abs_q_impl_3(sprout::array<T, 4> const& temp, T const& maxim) {
return maxim * sprout::math::sqrt(sprout::math::detail::sum(sprout::math::detail::mul(temp, temp)));
}
template<typename T>
inline SPROUT_CONSTEXPR T
abs_q_impl_2(sprout::array<T, 4> const& temp, T const& maxim) {
return sprout::math::detail::abs_q_impl_3(
sprout::math::detail::mul(temp, maxim), maxim
);
}
template<typename T>
inline SPROUT_CONSTEXPR T
abs_q_impl_1(sprout::array<T, 4> const& temp, T const& maxim) {
return maxim == static_cast<T>(0) ? sprout::math::quaternion<T>(maxim)
: sprout::math::detail::abs_q_impl_2(
temp, static_cast<T>(1) / maxim
)
;
}
template<typename T>
inline SPROUT_CONSTEXPR T
abs_q_impl(sprout::array<T, 4> const& temp) {
return sprout::math::detail::abs_q_impl_1(
temp, sprout::math::detail::abs_max(temp)
);
}
} // namespace detail
template<typename T>
inline SPROUT_CONSTEXPR T
abs(sprout::math::quaternion<T> const& q) {
return sprout::math::detail::abs_q_impl(
sprout::array<T, 4>{{
q.R_component_1(),
q.R_component_2(),
q.R_component_3(),
q.R_component_4()
}}
);
}
} // namespace math
using sprout::math::abs;
} // namespace sprout
#endif // #ifndef SPROUT_MATH_QUATERNION_ABS_HPP