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// Copyright 2023 Matt Borland // Distributed under the Boost Software License, Version 1.0. // https://www.boost.org/LICENSE_1_0.txt #ifndef BOOST_CHARCONV_DETAIL_COMPUTE_FLOAT80_HPP #define BOOST_CHARCONV_DETAIL_COMPUTE_FLOAT80_HPP #include #include #include #include #include #include #include #include #include #include #ifdef BOOST_CHARCONV_DEBUG_FLOAT128 #include #include #include #endif namespace boost { namespace charconv { namespace detail { #if BOOST_CHARCONV_LDBL_BITS > 64 static constexpr long double powers_of_ten_ld[] = { 1e0L, 1e1L, 1e2L, 1e3L, 1e4L, 1e5L, 1e6L, 1e7L, 1e8L, 1e9L, 1e10L, 1e11L, 1e12L, 1e13L, 1e14L, 1e15L, 1e16L, 1e17L, 1e18L, 1e19L, 1e20L, 1e21L, 1e22L, 1e23L, 1e24L, 1e25L, 1e26L, 1e27L, 1e28L, 1e29L, 1e30L, 1e31L, 1e32L, 1e33L, 1e34L, 1e35L, 1e36L, 1e37L, 1e38L, 1e39L, 1e40L, 1e41L, 1e42L, 1e43L, 1e44L, 1e45L, 1e46L, 1e47L, 1e48L, 1e49L, 1e50L, 1e51L, 1e52L, 1e53L, 1e54L, 1e55L }; template inline ResultType fast_path(std::int64_t q, Unsigned_Integer w, bool negative, ArrayPtr table) noexcept { // The general idea is as follows. // if 0 <= s <= 2^64 and if 10^0 <= p <= 10^27 // Both s and p can be represented exactly // because of this s*p and s/p will produce // correctly rounded values auto ld = static_cast(w); if (q < 0) { ld /= table[-q]; } else { ld *= table[q]; } if (negative) { ld = -ld; } return ld; } template inline ResultType compute_float80(std::int64_t q, Unsigned_Integer w, bool negative, std::errc& success) noexcept { // GLIBC uses 2^-16444 but MPFR uses 2^-16445 as the smallest subnormal value for 80 bit // 39 is the max number of digits in an uint128_t static constexpr auto smallest_power = -4951 - 39; static constexpr auto largest_power = 4932; // We start with a fast path // It is an extension of what was described in Clinger WD. // How to read floating point numbers accurately. // ACM SIGPLAN Notices. 1990 // https://dl.acm.org/doi/pdf/10.1145/93542.93557 static constexpr auto clinger_max_exp = BOOST_CHARCONV_LDBL_BITS == 80 ? 27 : 48; // NOLINT : Only changes by platform static constexpr auto clinger_min_exp = BOOST_CHARCONV_LDBL_BITS == 80 ? -34 : -55; // NOLINT if (clinger_min_exp <= q && q <= clinger_max_exp && w <= static_cast(1) << 113) { success = std::errc(); return fast_path(q, w, negative, powers_of_ten_ld); } if (w == 0) { success = std::errc(); return negative ? -0.0L : 0.0L; } else if (q > largest_power) { success = std::errc::result_out_of_range; return negative ? -HUGE_VALL : HUGE_VALL; } else if (q < smallest_power) { success = std::errc::result_out_of_range; return negative ? -0.0L : 0.0L; } success = std::errc::not_supported; return 0; } #endif // BOOST_CHARCONV_LDBL_BITS > 64 }}} // Namespaces #endif // BOOST_CHARCONV_DETAIL_COMPUTE_FLOAT80_HPP