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Sprout/sprout/math/round.hpp
2013-08-07 00:15:09 +09:00

74 lines
2.4 KiB
C++

#ifndef SPROUT_MATH_ROUND_HPP
#define SPROUT_MATH_ROUND_HPP
#include <cstdint>
#include <type_traits>
#include <stdexcept>
#include <sprout/config.hpp>
#include <sprout/limits.hpp>
#include <sprout/math/detail/config.hpp>
#include <sprout/math/detail/float_compute.hpp>
#include <sprout/math/isnan.hpp>
#include <sprout/type_traits/enabler_if.hpp>
namespace sprout {
namespace math {
namespace detail {
template<typename T>
inline SPROUT_CONSTEXPR T
round_impl_positive(T x, T x0) {
return x - x0 < T(0.5) ? x0
: x0 + T(1)
;
}
template<typename T>
inline SPROUT_CONSTEXPR T
round_impl_nagative(T x, T x0) {
return x0 - x < T(0.5) ? x0
: x0 - T(1)
;
}
template<typename T>
inline SPROUT_CONSTEXPR T
round_impl(T x) {
return x < 0 ? sprout::math::detail::round_impl_nagative(x, -static_cast<T>(static_cast<std::uintmax_t>(-x)))
: sprout::math::detail::round_impl_positive(x, static_cast<T>(static_cast<std::uintmax_t>(x)))
;
}
template<
typename FloatType,
typename sprout::enabler_if<std::is_floating_point<FloatType>::value>::type = sprout::enabler
>
inline SPROUT_CONSTEXPR FloatType
round(FloatType x) {
return sprout::math::isnan(x) ? x
: x == sprout::numeric_limits<FloatType>::infinity() ? sprout::numeric_limits<FloatType>::infinity()
: x == -sprout::numeric_limits<FloatType>::infinity() ? -sprout::numeric_limits<FloatType>::infinity()
#if SPROUT_USE_BUILTIN_CMATH_FUNCTION
: std::round(x)
#else
: x == 0 ? x
: sprout::numeric_limits<std::uintmax_t>::max() < x || sprout::numeric_limits<std::uintmax_t>::max() < -x
? SPROUT_MATH_THROW_LARGE_FLOAT_ROUNDING(std::runtime_error("round: large float rounding."), x)
: static_cast<FloatType>(sprout::math::detail::round_impl(static_cast<typename sprout::math::detail::float_compute<FloatType>::type>(x)))
#endif
;
}
template<
typename IntType,
typename sprout::enabler_if<std::is_integral<IntType>::value>::type = sprout::enabler
>
inline SPROUT_CONSTEXPR double
round(IntType x) {
return sprout::math::detail::round(static_cast<double>(x));
}
} // namespace detail
using sprout::math::detail::round;
} // namespace math
using sprout::math::round;
} // namespace sprout
#endif // #ifndef SPROUT_MATH_ROUND_HPP