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// (C) Copyright John Maddock 2005-2006. // 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_HYPOT_INCLUDED #define BOOST_MATH_HYPOT_INCLUDED #ifdef _MSC_VER #pragma once #endif #include #include #include #include #include #include #include #include namespace boost{ namespace math{ namespace detail{ template BOOST_MATH_GPU_ENABLED T hypot_imp(T x, T y, const Policy& pol) { // // Normalize x and y, so that both are positive and x >= y: // BOOST_MATH_STD_USING x = fabs(x); y = fabs(y); #ifdef _MSC_VER #pragma warning(push) #pragma warning(disable: 4127) #endif // special case, see C99 Annex F: if(boost::math::numeric_limits::has_infinity && ((x == boost::math::numeric_limits::infinity()) || (y == boost::math::numeric_limits::infinity()))) return policies::raise_overflow_error("boost::math::hypot<%1%>(%1%,%1%)", nullptr, pol); #ifdef _MSC_VER #pragma warning(pop) #endif if(y > x) BOOST_MATH_GPU_SAFE_SWAP(x, y); if(x * tools::epsilon() >= y) return x; T rat = y / x; return x * sqrt(1 + rat*rat); } // template T hypot(T x, T y) template BOOST_MATH_GPU_ENABLED T hypot_imp(T x, T y, T z, const Policy& pol) { BOOST_MATH_STD_USING x = fabs(x); y = fabs(y); z = fabs(z); #ifdef _MSC_VER #pragma warning(push) #pragma warning(disable: 4127) #endif // special case, see C99 Annex F: BOOST_MATH_IF_CONSTEXPR (boost::math::numeric_limits::has_infinity) { if(((x == boost::math::numeric_limits::infinity()) || (y == boost::math::numeric_limits::infinity()) || (z == boost::math::numeric_limits::infinity()))) return policies::raise_overflow_error("boost::math::hypot<%1%>(%1%,%1%,%1%)", nullptr, pol); } #ifdef _MSC_VER #pragma warning(pop) #endif const T a {(max)((max)(x, y), z)}; if (a == T(0)) { return a; } const T x_div_a {x / a}; const T y_div_a {y / a}; const T z_div_a {z / a}; return a * sqrt(x_div_a * x_div_a + y_div_a * y_div_a + z_div_a * z_div_a); } } template BOOST_MATH_GPU_ENABLED inline typename tools::promote_args::type hypot(T1 x, T2 y) { typedef typename tools::promote_args::type result_type; return detail::hypot_imp( static_cast(x), static_cast(y), policies::policy<>()); } template , bool>> BOOST_MATH_GPU_ENABLED inline typename tools::promote_args::type hypot(T1 x, T2 y, const Policy& pol) { typedef typename tools::promote_args::type result_type; return detail::hypot_imp( static_cast(x), static_cast(y), pol); } template , bool>> BOOST_MATH_GPU_ENABLED inline tools::promote_args_t hypot(T1 x, T2 y, T3 z) { using result_type = tools::promote_args_t; return detail::hypot_imp(static_cast(x), static_cast(y), static_cast(z), policies::policy<>()); } template BOOST_MATH_GPU_ENABLED inline tools::promote_args_t hypot(T1 x, T2 y, T3 z, const Policy& pol) { using result_type = tools::promote_args_t; return detail::hypot_imp(static_cast(x), static_cast(y), static_cast(z), pol); } } // namespace math } // namespace boost #endif // BOOST_MATH_HYPOT_INCLUDED