--- /dev/null
+// (C) Copyright Matt Borland 2022.
+// 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_FMAX_HPP
+#define BOOST_MATH_CCMATH_FMAX_HPP
+
+#include <cmath>
+#include <limits>
+#include <type_traits>
+#include <boost/math/tools/is_constant_evaluated.hpp>
+#include <boost/math/ccmath/isnan.hpp>
+
+namespace boost::math::ccmath {
+
+namespace detail {
+
+template <typename T>
+inline constexpr T fmax_impl(const T x, const T y) noexcept
+{
+ if (x > y)
+ {
+ return x;
+ }
+ else
+ {
+ return y;
+ }
+}
+
+} // Namespace detail
+
+template <typename Real, std::enable_if_t<!std::is_integral_v<Real>, bool> = true>
+inline constexpr Real fmax(Real x, Real y) noexcept
+{
+ if (BOOST_MATH_IS_CONSTANT_EVALUATED(x))
+ {
+ return boost::math::ccmath::isnan(x) && boost::math::ccmath::isnan(y) ? std::numeric_limits<Real>::quiet_NaN() :
+ boost::math::ccmath::isnan(x) ? y :
+ boost::math::ccmath::isnan(y) ? x :
+ boost::math::ccmath::detail::fmax_impl(x, y);
+ }
+ else
+ {
+ using std::fmax;
+ return fmax(x, y);
+ }
+}
+
+template <typename T1, typename T2>
+inline constexpr auto fmax(T1 x, T2 y) noexcept
+{
+ if (BOOST_MATH_IS_CONSTANT_EVALUATED(x))
+ {
+ // If the type is an integer (e.g. epsilon == 0) then set the epsilon value to 1 so that type is at a minimum
+ // cast to double
+ constexpr auto T1p = std::numeric_limits<T1>::epsilon() > 0 ? std::numeric_limits<T1>::epsilon() : 1;
+ constexpr auto T2p = std::numeric_limits<T2>::epsilon() > 0 ? std::numeric_limits<T2>::epsilon() : 1;
+
+ using promoted_type =
+ #ifndef BOOST_MATH_NO_LONG_DOUBLE_MATH_FUNCTIONS
+ std::conditional_t<T1p <= LDBL_EPSILON && T1p <= T2p, T1,
+ std::conditional_t<T2p <= LDBL_EPSILON && T2p <= T1p, T2,
+ #endif
+ std::conditional_t<T1p <= DBL_EPSILON && T1p <= T2p, T1,
+ std::conditional_t<T2p <= DBL_EPSILON && T2p <= T1p, T2, double
+ #ifndef BOOST_MATH_NO_LONG_DOUBLE_MATH_FUNCTIONS
+ >>>>;
+ #else
+ >>;
+ #endif
+
+ return boost::math::ccmath::fmax(promoted_type(x), promoted_type(y));
+ }
+ else
+ {
+ using std::fmax;
+ return fmax(x, y);
+ }
+}
+
+inline constexpr float fmaxf(float x, float y) noexcept
+{
+ return boost::math::ccmath::fmax(x, y);
+}
+
+#ifndef BOOST_MATH_NO_LONG_DOUBLE_MATH_FUNCTIONS
+inline constexpr long double fmaxl(long double x, long double y) noexcept
+{
+ return boost::math::ccmath::fmax(x, y);
+}
+#endif
+
+} // Namespace boost::math::ccmath
+
+#endif // BOOST_MATH_CCMATH_FMAX_HPP