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/////////////////////////////////////////////////////////////// // Copyright 2012 John Maddock. Distributed under the Boost // Software License, Version 1.0. (See accompanying file // LICENSE_1_0.txt or copy at https://www.boost.org/LICENSE_1_0.txt #ifndef BOOST_MP_MAX_DIGITS10_HPP #define BOOST_MP_MAX_DIGITS10_HPP namespace boost { namespace multiprecision { namespace detail { template struct calc_max_digits10 { static constexpr unsigned max_digits_10(unsigned d) { // // We need ceil(log10(2) * d) + 1 decimal places to // guarantee round tripping, see: https://www.exploringbinary.com/number-of-digits-required-for-round-trip-conversions/ // and references therein. Since log10(2) is irrational, then d*log10(2) will // never be exactly an integer so we can replace by trunc(log10(2) * d) + 2 // and avoid the call to ceil: // return static_cast(0.301029995663981195213738894724493026768189881462108541310 * d) + 2; } static constexpr unsigned value = max_digits_10(digits); }; template struct calc_max_digits10_s { static constexpr std::size_t max_digits_10(std::size_t d) { // // We need ceil(log10(2) * d) + 1 decimal places to // guarantee round tripping, see: https://www.exploringbinary.com/number-of-digits-required-for-round-trip-conversions/ // and references therein. Since log10(2) is irrational, then d*log10(2) will // never be exactly an integer so we can replace by trunc(log10(2) * d) + 2 // and avoid the call to ceil: // return static_cast(static_cast(0.301029995663981195213738894724493026768189881462108541310 * static_cast(d)) + 2u); } static constexpr std::size_t value = max_digits_10(digits); }; template struct calc_digits10 { static constexpr unsigned digits_10(unsigned d) { // // We need floor(log10(2) * (d-1)), see: // https://www.exploringbinary.com/number-of-digits-required-for-round-trip-conversions/ // and references therein. // return static_cast(0.301029995663981195213738894724493026768189881462108541310 * static_cast(d - 1u)); } static constexpr unsigned value = digits_10(digits); }; template struct calc_digits10_s { static constexpr std::size_t digits_10(std::size_t d) { // // We need floor(log10(2) * (d-1)), see: // https://www.exploringbinary.com/number-of-digits-required-for-round-trip-conversions/ // and references therein. // return static_cast(0.301029995663981195213738894724493026768189881462108541310 * static_cast(d - 1u)); } static constexpr std::size_t value = digits_10(digits); }; }}} // namespace boost::multiprecision::detail #endif