--- /dev/null
+// (C) Copyright Matt Borland 2021.
+// Use, modification and distribution are subject to 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 BOOST_MATH_CCMATH_ROUND_HPP
+#define BOOST_MATH_CCMATH_ROUND_HPP
+
+#include <cmath>
+#include <type_traits>
+#include <stdexcept>
+#include <boost/math/tools/is_constant_evaluated.hpp>
+#include <boost/math/ccmath/abs.hpp>
+#include <boost/math/ccmath/isinf.hpp>
+#include <boost/math/ccmath/isnan.hpp>
+#include <boost/math/ccmath/modf.hpp>
+
+namespace boost::math::ccmath {
+
+namespace detail {
+
+// Computes the nearest integer value to arg (in floating-point format),
+// rounding halfway cases away from zero, regardless of the current rounding mode.
+template <typename T>
+inline constexpr T round_impl(T arg) noexcept
+{
+ T iptr = 0;
+ const T x = boost::math::ccmath::modf(arg, &iptr);
+ constexpr T half = T(1)/2;
+
+ if(x >= half && iptr > 0)
+ {
+ return iptr + 1;
+ }
+ else if(boost::math::ccmath::abs(x) >= half && iptr < 0)
+ {
+ return iptr - 1;
+ }
+ else
+ {
+ return iptr;
+ }
+}
+
+template <typename ReturnType, typename T>
+inline constexpr ReturnType int_round_impl(T arg)
+{
+ const T rounded_arg = round_impl(arg);
+
+ if(rounded_arg > static_cast<T>((std::numeric_limits<ReturnType>::max)()))
+ {
+ if constexpr (std::is_same_v<ReturnType, long long>)
+ {
+ throw std::domain_error("Rounded value cannot be represented by a long long type without overflow");
+ }
+ else
+ {
+ throw std::domain_error("Rounded value cannot be represented by a long type without overflow");
+ }
+ }
+ else
+ {
+ return static_cast<ReturnType>(rounded_arg);
+ }
+}
+
+} // Namespace detail
+
+template <typename Real, std::enable_if_t<!std::is_integral_v<Real>, bool> = true>
+inline constexpr Real round(Real arg) noexcept
+{
+ if(BOOST_MATH_IS_CONSTANT_EVALUATED(arg))
+ {
+ return boost::math::ccmath::abs(arg) == Real(0) ? arg :
+ boost::math::ccmath::isinf(arg) ? arg :
+ boost::math::ccmath::isnan(arg) ? arg :
+ boost::math::ccmath::detail::round_impl(arg);
+ }
+ else
+ {
+ using std::round;
+ return round(arg);
+ }
+}
+
+template <typename Z, std::enable_if_t<std::is_integral_v<Z>, bool> = true>
+inline constexpr double round(Z arg) noexcept
+{
+ return boost::math::ccmath::round(static_cast<double>(arg));
+}
+
+inline constexpr float roundf(float arg) noexcept
+{
+ return boost::math::ccmath::round(arg);
+}
+
+#ifndef BOOST_MATH_NO_LONG_DOUBLE_MATH_FUNCTIONS
+inline constexpr long double roundl(long double arg) noexcept
+{
+ return boost::math::ccmath::round(arg);
+}
+#endif
+
+template <typename Real, std::enable_if_t<!std::is_integral_v<Real>, bool> = true>
+inline constexpr long lround(Real arg)
+{
+ if(BOOST_MATH_IS_CONSTANT_EVALUATED(arg))
+ {
+ return boost::math::ccmath::abs(arg) == Real(0) ? 0l :
+ boost::math::ccmath::isinf(arg) ? 0l :
+ boost::math::ccmath::isnan(arg) ? 0l :
+ boost::math::ccmath::detail::int_round_impl<long>(arg);
+ }
+ else
+ {
+ using std::lround;
+ return lround(arg);
+ }
+}
+
+template <typename Z, std::enable_if_t<std::is_integral_v<Z>, bool> = true>
+inline constexpr long lround(Z arg)
+{
+ return boost::math::ccmath::lround(static_cast<double>(arg));
+}
+
+inline constexpr long lroundf(float arg)
+{
+ return boost::math::ccmath::lround(arg);
+}
+
+#ifndef BOOST_MATH_NO_LONG_DOUBLE_MATH_FUNCTIONS
+inline constexpr long lroundl(long double arg)
+{
+ return boost::math::ccmath::lround(arg);
+}
+#endif
+
+template <typename Real, std::enable_if_t<!std::is_integral_v<Real>, bool> = true>
+inline constexpr long long llround(Real arg)
+{
+ if(BOOST_MATH_IS_CONSTANT_EVALUATED(arg))
+ {
+ return boost::math::ccmath::abs(arg) == Real(0) ? 0ll :
+ boost::math::ccmath::isinf(arg) ? 0ll :
+ boost::math::ccmath::isnan(arg) ? 0ll :
+ boost::math::ccmath::detail::int_round_impl<long long>(arg);
+ }
+ else
+ {
+ using std::llround;
+ return llround(arg);
+ }
+}
+
+template <typename Z, std::enable_if_t<std::is_integral_v<Z>, bool> = true>
+inline constexpr long llround(Z arg)
+{
+ return boost::math::ccmath::llround(static_cast<double>(arg));
+}
+
+inline constexpr long long llroundf(float arg)
+{
+ return boost::math::ccmath::llround(arg);
+}
+
+#ifndef BOOST_MATH_NO_LONG_DOUBLE_MATH_FUNCTIONS
+inline constexpr long long llroundl(long double arg)
+{
+ return boost::math::ccmath::llround(arg);
+}
+#endif
+
+} // Namespaces
+
+#endif // BOOST_MATH_CCMATH_ROUND_HPP