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

44 lines
1.5 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_MATH_QUATERNION_POW_HPP
#define SPROUT_MATH_QUATERNION_POW_HPP
#include <sprout/config.hpp>
#include <sprout/math/quaternion/quaternion.hpp>
namespace sprout {
namespace math {
//
// pow
//
namespace detail {
template<typename T>
inline SPROUT_CONSTEXPR sprout::math::quaternion<T>
pow_q_impl(sprout::math::quaternion<T> const& q, int n, int m, sprout::math::quaternion<T> const& result) {
return n != m << 1 ? result * result * q
: result * result
;
}
} // namespace detail
template<typename T>
inline SPROUT_CONSTEXPR sprout::math::quaternion<T>
pow(sprout::math::quaternion<T> const& q, int n) {
return n > 1 ? sprout::math::detail::pow_q_impl(
q, n, n >> 1, sprout::math::pow(q, n >> 1)
)
: n == 1 ? q
: n == 0 ? sprout::math::quaternion<T>(static_cast<T>(1))
: sprout::math::pow(sprout::math::quaternion<T>(static_cast<T>(1)) / q, -n)
;
}
} // namespace math
using sprout::math::pow;
} // namespace sprout
#endif // #ifndef SPROUT_MATH_QUATERNION_POW_HPP