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// Copyright John Maddock 2007. // Copyright Matt Borland 2023. // 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_ROUND_HPP #define BOOST_MATH_ROUND_HPP #ifdef _MSC_VER #pragma once #endif #include #ifndef BOOST_MATH_HAS_NVRTC #include #include #include #include #include #include #include #if !defined(BOOST_MATH_NO_CCMATH) && !defined(BOOST_MATH_NO_CONSTEXPR_DETECTION) #include # define BOOST_MATH_HAS_CONSTEXPR_LDEXP #endif namespace boost{ namespace math{ namespace detail{ template BOOST_MATH_GPU_ENABLED inline tools::promote_args_t round(const T& v, const Policy& pol, const std::false_type&) { BOOST_MATH_STD_USING using result_type = tools::promote_args_t; if(!(boost::math::isfinite)(v)) { return policies::raise_rounding_error("boost::math::round<%1%>(%1%)", nullptr, static_cast(v), static_cast(v), pol); } // // The logic here is rather convoluted, but avoids a number of traps, // see discussion here https://github.com/boostorg/math/pull/8 // if (T(-0.5) < v && v < T(0.5)) { // special case to avoid rounding error on the direct // predecessor of +0.5 resp. the direct successor of -0.5 in // IEEE floating point types return static_cast(0); } else if (v > 0) { // subtract v from ceil(v) first in order to avoid rounding // errors on largest representable integer numbers result_type c(ceil(v)); return T(0.5) < c - v ? c - 1 : c; } else { // see former branch result_type f(floor(v)); return T(0.5) < v - f ? f + 1 : f; } } template BOOST_MATH_GPU_ENABLED inline tools::promote_args_t round(const T& v, const Policy&, const std::true_type&) { return v; } } // namespace detail template BOOST_MATH_GPU_ENABLED inline tools::promote_args_t round(const T& v, const Policy& pol) { return detail::round(v, pol, std::integral_constant::value>()); } template BOOST_MATH_GPU_ENABLED inline tools::promote_args_t round(const T& v) { return round(v, policies::policy<>()); } // // The following functions will not compile unless T has an // implicit conversion to the integer types. For user-defined // number types this will likely not be the case. In that case // these functions should either be specialized for the UDT in // question, or else overloads should be placed in the same // namespace as the UDT: these will then be found via argument // dependent lookup. See our concept archetypes for examples. // // Non-standard numeric limits syntax "(std::numeric_limits::max)()" // is to avoid macro substiution from MSVC // https://stackoverflow.com/questions/27442885/syntax-error-with-stdnumeric-limitsmax // template inline int iround(const T& v, const Policy& pol) { BOOST_MATH_STD_USING using result_type = tools::promote_args_t; result_type r = boost::math::round(v, pol); #if defined(BOOST_MATH_HAS_CONSTEXPR_LDEXP) && !defined(BOOST_MATH_HAS_GPU_SUPPORT) if constexpr (std::is_arithmetic_v #ifdef BOOST_MATH_FLOAT128_TYPE && !std::is_same_v #endif ) { constexpr result_type max_val = boost::math::ccmath::ldexp(static_cast(1), std::numeric_limits::digits); if (r >= max_val || r < -max_val) { return static_cast(boost::math::policies::raise_rounding_error("boost::math::iround<%1%>(%1%)", nullptr, v, static_cast(0), pol)); } } else { static const result_type max_val = ldexp(static_cast(1), std::numeric_limits::digits); if (r >= max_val || r < -max_val) { return static_cast(boost::math::policies::raise_rounding_error("boost::math::iround<%1%>(%1%)", nullptr, v, static_cast(0), pol)); } } #else BOOST_MATH_STATIC_LOCAL_VARIABLE const result_type max_val = ldexp(static_cast(1), std::numeric_limits::digits); if (r >= max_val || r < -max_val) { return static_cast(boost::math::policies::raise_rounding_error("boost::math::iround<%1%>(%1%)", nullptr, v, static_cast(0), pol)); } #endif return static_cast(r); } template BOOST_MATH_GPU_ENABLED inline int iround(const T& v) { return iround(v, policies::policy<>()); } template BOOST_MATH_GPU_ENABLED inline long lround(const T& v, const Policy& pol) { BOOST_MATH_STD_USING using result_type = tools::promote_args_t; result_type r = boost::math::round(v, pol); #if defined(BOOST_MATH_HAS_CONSTEXPR_LDEXP) && !defined(BOOST_MATH_HAS_GPU_SUPPORT) if constexpr (std::is_arithmetic_v #ifdef BOOST_MATH_FLOAT128_TYPE && !std::is_same_v #endif ) { constexpr result_type max_val = boost::math::ccmath::ldexp(static_cast(1), std::numeric_limits::digits); if (r >= max_val || r < -max_val) { return static_cast(boost::math::policies::raise_rounding_error("boost::math::lround<%1%>(%1%)", nullptr, v, static_cast(0), pol)); } } else { static const result_type max_val = ldexp(static_cast(1), std::numeric_limits::digits); if (r >= max_val || r < -max_val) { return static_cast(boost::math::policies::raise_rounding_error("boost::math::lround<%1%>(%1%)", nullptr, v, static_cast(0), pol)); } } #else BOOST_MATH_STATIC_LOCAL_VARIABLE const result_type max_val = ldexp(static_cast(1), std::numeric_limits::digits); if (r >= max_val || r < -max_val) { return static_cast(boost::math::policies::raise_rounding_error("boost::math::lround<%1%>(%1%)", nullptr, v, static_cast(0), pol)); } #endif return static_cast(r); } template BOOST_MATH_GPU_ENABLED inline long lround(const T& v) { return lround(v, policies::policy<>()); } template BOOST_MATH_GPU_ENABLED inline long long llround(const T& v, const Policy& pol) { BOOST_MATH_STD_USING using result_type = boost::math::tools::promote_args_t; result_type r = boost::math::round(v, pol); #if defined(BOOST_MATH_HAS_CONSTEXPR_LDEXP) && !defined(BOOST_MATH_HAS_GPU_SUPPORT) if constexpr (std::is_arithmetic_v #ifdef BOOST_MATH_FLOAT128_TYPE && !std::is_same_v #endif ) { constexpr result_type max_val = boost::math::ccmath::ldexp(static_cast(1), std::numeric_limits::digits); if (r >= max_val || r < -max_val) { return static_cast(boost::math::policies::raise_rounding_error("boost::math::llround<%1%>(%1%)", nullptr, v, static_cast(0), pol)); } } else { static const result_type max_val = ldexp(static_cast(1), std::numeric_limits::digits); if (r >= max_val || r < -max_val) { return static_cast(boost::math::policies::raise_rounding_error("boost::math::llround<%1%>(%1%)", nullptr, v, static_cast(0), pol)); } } #else BOOST_MATH_STATIC_LOCAL_VARIABLE const result_type max_val = ldexp(static_cast(1), std::numeric_limits::digits); if (r >= max_val || r < -max_val) { return static_cast(boost::math::policies::raise_rounding_error("boost::math::llround<%1%>(%1%)", nullptr, v, static_cast(0), pol)); } #endif return static_cast(r); } template BOOST_MATH_GPU_ENABLED inline long long llround(const T& v) { return llround(v, policies::policy<>()); } }} // namespaces #else // Specialized NVRTC overloads namespace boost { namespace math { template BOOST_MATH_GPU_ENABLED T round(T x) { return ::round(x); } template <> BOOST_MATH_GPU_ENABLED float round(float x) { return ::roundf(x); } template BOOST_MATH_GPU_ENABLED T round(T x, const Policy&) { return ::round(x); } template BOOST_MATH_GPU_ENABLED float round(float x, const Policy&) { return ::roundf(x); } template BOOST_MATH_GPU_ENABLED int iround(T x) { return static_cast(::lround(x)); } template <> BOOST_MATH_GPU_ENABLED int iround(float x) { return static_cast(::lroundf(x)); } template BOOST_MATH_GPU_ENABLED int iround(T x, const Policy&) { return static_cast(::lround(x)); } template BOOST_MATH_GPU_ENABLED int iround(float x, const Policy&) { return static_cast(::lroundf(x)); } template BOOST_MATH_GPU_ENABLED long lround(T x) { return ::lround(x); } template <> BOOST_MATH_GPU_ENABLED long lround(float x) { return ::lroundf(x); } template BOOST_MATH_GPU_ENABLED long lround(T x, const Policy&) { return ::lround(x); } template BOOST_MATH_GPU_ENABLED long lround(float x, const Policy&) { return ::lroundf(x); } template BOOST_MATH_GPU_ENABLED long long llround(T x) { return ::llround(x); } template <> BOOST_MATH_GPU_ENABLED long long llround(float x) { return ::llroundf(x); } template BOOST_MATH_GPU_ENABLED long long llround(T x, const Policy&) { return ::llround(x); } template BOOST_MATH_GPU_ENABLED long long llround(float x, const Policy&) { return ::llroundf(x); } } // Namespace math } // Namespace boost #endif // BOOST_MATH_HAS_NVRTC #endif // BOOST_MATH_ROUND_HPP