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Sprout/sprout/math/erfc.hpp
bolero-MURAKAMI c58c9cc0fc fix: math functions (support for inferior C++14 standard)
add C++14 constexpr modifying algorithms
2013-10-25 12:29:16 +09:00

75 lines
2.3 KiB
C++

/*=============================================================================
Copyright (c) 2011-2013 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_ERFC_HPP
#define SPROUT_MATH_ERFC_HPP
#include <type_traits>
#include <sprout/config.hpp>
#include <sprout/math/detail/config.hpp>
#include <sprout/math/detail/float_compute.hpp>
#include <sprout/math/isnan.hpp>
#include <sprout/math/erf.hpp>
#include <sprout/type_traits/enabler_if.hpp>
namespace sprout {
namespace math {
namespace detail {
#if SPROUT_USE_BUILTIN_CMATH_FUNCTION
inline SPROUT_CONSTEXPR float
builtin_erfc(float x) {
return __builtin_erfcf(x);
}
inline SPROUT_CONSTEXPR double
builtin_erfc(double x) {
return __builtin_erfc(x);
}
inline SPROUT_CONSTEXPR long double
builtin_erfc(long double x) {
return __builtin_erfcl(x);
}
#endif
template<typename T>
inline SPROUT_CONSTEXPR T
erfc_impl(T x) {
return T(1) - sprout::math::erf(x);
}
} // namespace detail
//
// erfc
//
template<
typename FloatType,
typename sprout::enabler_if<std::is_floating_point<FloatType>::value>::type = sprout::enabler
>
inline SPROUT_CONSTEXPR FloatType
erfc(FloatType x) {
return sprout::math::isnan(x) ? x
: x == sprout::numeric_limits<FloatType>::infinity() ? FloatType(0)
: x == -sprout::numeric_limits<FloatType>::infinity() ? FloatType(2)
#if SPROUT_USE_BUILTIN_CMATH_FUNCTION
: sprout::math::detail::builtin_erfc(x)
#else
: static_cast<FloatType>(sprout::math::detail::erfc_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
erfc(IntType x) {
return sprout::math::erfc(static_cast<double>(x));
}
} // namespace math
using sprout::math::erfc;
} // namespace sprout
#endif // #ifndef SPROUT_MATH_ERFC_HPP