From 7498e495d654de55dbba8517784f7c0da1f64a7a Mon Sep 17 00:00:00 2001 From: trcrsired Date: Fri, 23 Aug 2024 00:09:47 -0400 Subject: [PATCH 01/26] add division for unix_timestamp --- include/fast_io_core_impl/intrinsics/impl.h | 1 + .../fast_io_core_impl/intrinsics/msvc/x86.h | 1 + include/fast_io_core_impl/intrinsics/umul.h | 221 ++++++++++++++++++ 3 files changed, 223 insertions(+) create mode 100644 include/fast_io_core_impl/intrinsics/umul.h diff --git a/include/fast_io_core_impl/intrinsics/impl.h b/include/fast_io_core_impl/intrinsics/impl.h index 874caec15..c7642067f 100644 --- a/include/fast_io_core_impl/intrinsics/impl.h +++ b/include/fast_io_core_impl/intrinsics/impl.h @@ -2,3 +2,4 @@ #include "carry.h" #include "udivmod.h" +#include "umul.h" \ No newline at end of file diff --git a/include/fast_io_core_impl/intrinsics/msvc/x86.h b/include/fast_io_core_impl/intrinsics/msvc/x86.h index 97b01d214..9022f9cf3 100644 --- a/include/fast_io_core_impl/intrinsics/msvc/x86.h +++ b/include/fast_io_core_impl/intrinsics/msvc/x86.h @@ -20,6 +20,7 @@ extern "C" unsigned __int64 _udiv128(unsigned __int64, unsigned __int64, unsigned __int64, unsigned __int64 *); unsigned __int64 __shiftleft128(unsigned __int64, unsigned __int64, unsigned char); unsigned __int64 __shiftright128(unsigned __int64, unsigned __int64, unsigned char); + unsigned __int64 _umul128(unsigned __int64, unsigned __int64, unsigned __int64 *); } } // namespace fast_io::intrinsics::msvc::x86 diff --git a/include/fast_io_core_impl/intrinsics/umul.h b/include/fast_io_core_impl/intrinsics/umul.h new file mode 100644 index 000000000..ed103b39b --- /dev/null +++ b/include/fast_io_core_impl/intrinsics/umul.h @@ -0,0 +1,221 @@ +#pragma once + +namespace fast_io::intrinsics +{ + +template +struct ul_generic_x2_little_endian +{ + U low, high; +}; +template +struct ul_generic_x2_big_endian +{ + U high, low; +}; + +template +using ul_generic_x2 = ::std::conditional_t<::std::endian::native == ::std::endian::big, ul_generic_x2_big_endian, + ul_generic_x2_little_endian>; + +using ul32x2 = ul_generic_x2<::std::uint_least32_t>; +using ul64x2 = ul_generic_x2<::std::uint_least64_t>; + +template + requires(sizeof(T) == sizeof(U) * 2) +inline constexpr U unpack_generic(T a, U &high) noexcept +{ + if constexpr (::std::endian::native == ::std::endian::little) + { + auto [a0, a1] = __builtin_bit_cast(ul_generic_x2_little_endian, a); // get around gcc bug + high = a1; + return a0; + } + else if constexpr (::std::endian::native == ::std::endian::big) + { + auto [a1, a0] = __builtin_bit_cast(ul_generic_x2_big_endian, a); + high = a1; + return a0; + } + else + { + high = static_cast(a >> ::std::numeric_limits::digits); + return static_cast(a); + } +} + +template + requires(sizeof(T) == sizeof(U) * 2) +inline constexpr T pack_generic(T a, U &high) noexcept +{ + if constexpr (::std::endian::native == ::std::endian::little) + { + return __builtin_bit_cast(T, ::fast_io::intrinsics::ul_generic_x2_little_endian{low, high}); // get around gcc bug + } + else if constexpr (::std::endian::native == ::std::endian::big) + { + return __builtin_bit_cast(T, ::fast_io::intrinsics::ul_generic_x2_little_endian{high, low}); // get around gcc bug + } + else + { + return static_cast(high << ::std::numeric_limits::digits) | low; + } +} + +namespace details +{ + +template + requires(sizeof(T) == sizeof(U) * 2) +inline constexpr U umul_least_generic(U a, U b, U &high) noexcept +{ +#if defined(__has_builtin) && defined(__GNUC__) && !defined(__clang__) +#if __has_builtin(__builtin_bit_cast) + if constexpr (::std::endian::native == ::std::endian::little || ::std::endian::native == ::std::endian::big) + { + auto ret{__builtin_bit_cast(::fast_io::intrinsics::ul_generic_x2, static_cast(a) * b)}; + high = ret.high; + return ret.low; + } + else +#endif +#endif + { + T v{static_cast(a) * b}; + high = static_cast(v >> (::std::numeric_limits::digits)); + return static_cast(v); + } +} + +template + requires(sizeof(T) == sizeof(::std::uint_least64_t)) +inline constexpr T umul_least_generic_emulated(T a, T b, T &high) noexcept +{ + using U = ::std::uint_least32_t; + U a1; + U a0{::fast_io::intrinsics::unpack_generic(a, a1)}; + U b1; + U b0{::fast_io::intrinsics::unpack_generic(b, b1)}; + U c1; + U c0{::fast_io::intrinsics::details::umul_least_generic(a0, b0, c1)}; + U a0b1h; + U a0b1l{::fast_io::intrinsics::details::umul_least_generic(a0, b1, a0b1h)}; + U a1b0h; + U a1b0l{::fast_io::intrinsics::details::umul_least_generic(a1, b0, a1b0h)}; + U c3; + U c2{::fast_io::intrinsics::details::umul_least_generic(a1, b1, c3)}; + constexpr U zero{}; + bool carry{}; + c1 = ::fast_io::intrinsics::addc(c1, a0b1l, carry, carry); + c2 = ::fast_io::intrinsics::addc(c2, a0b1h, carry, carry); + c3 = ::fast_io::intrinsics::addc(c3, zero, carry, carry); + carry = false; + c1 = ::fast_io::intrinsics::addc(c1, a1b0l, carry, carry); + c2 = ::fast_io::intrinsics::addc(c2, a1b0h, carry, carry); + c3 = ::fast_io::intrinsics::addc(c3, zero, carry, carry); + + high = ::fast_io::intrinsics::pack_generic(c2, c3); + return ::fast_io::intrinsics::pack_generic(c0, c1); +} + +} // namespace details + +template <::std::unsigned_integral U> +inline constexpr U umul(U a, U b, U &high) noexcept +{ + if constexpr (sizeof(U) == sizeof(::std::uint_least64_t)) + { +#ifdef __SIZEOF_INT128__ +#if __cpp_if_consteval >= 202106L + if consteval + { + __uint128_t res{static_cast<__uint128_t>(a) * b}; + high = static_cast<::std::uint_least64_t>(res >> 64u); + return static_cast<::std::uint_least64_t>(res); + } + else +#elif __cpp_lib_is_constant_evaluated >= 201811L + if (::std::is_constant_evaluated()) + { + __uint128_t res{static_cast<__uint128_t>(a) * b}; + high = static_cast<::std::uint_least64_t>(res >> 64u); + return static_cast<::std::uint_least64_t>(res); + } + else + +#endif + { +#if defined(__has_builtin) + if constexpr (::std::endian::native == ::std::endian::little || ::std::endian::native == ::std::endian::big) + { + struct u64x2_little_endian_t + { + ::std::uint_least64_t low, high; + }; + struct u64x2_big_endian_t + { + ::std::uint_least64_t high, low; + }; + using u64x2_t = ::std::conditional_t<::std::endian::native == ::std::endian::little, u64x2_little_endian_t, + u64x2_big_endian_t>; + static_assert(sizeof(__uint128_t) == sizeof(u64x2_t)); +#if __has_builtin(__builtin_bit_cast) + auto u{__builtin_bit_cast(u64x2_t, static_cast<__uint128_t>(a) * b)}; + high = u.high; + return u.low; +#else + __uint128_t res{static_cast<__uint128_t>(a) * b}; + u64x2_t u; +#if __has_builtin(__builtin_memcpy) + __builtin_memcpy(__builtin_addressof(u), __builtin_addressof(res), sizeof(u64x2_t)); +#else + ::std::memcpy(__builtin_addressof(u), __builtin_addressof(res), sizeof(u64x2_t)); +#endif + high = u.high; + return u.low; +#endif + } + else +#endif + { + __uint128_t res{static_cast<__uint128_t>(a) * b}; + high = static_cast<::std::uint_least64_t>(res >> 64u); + return static_cast<::std::uint_least64_t>(res); + } + } +#elif defined(_MSC_VER) && defined(_M_X64) +#if __cpp_if_consteval >= 202106L + if consteval + { + return ::fast_io::intrinsics::details::umul_least_generic_emulated(a, b, high); + } + else +#elif __cpp_lib_is_constant_evaluated >= 201811L + if (::std::is_constant_evaluated()) + { + return ::fast_io::intrinsics::details::umul_least_generic_emulated(a, b, high); + } + else +#endif + { + return ::fast_io::intrinsics::msvc::_umul128(a, b, __builtin_addressof(high)); + } +#else + return ::fast_io::intrinsics::details::umul_least_generic_emulated(a, b, high); +#endif + } + else if constexpr (sizeof(U) == sizeof(::std::uint_least32_t)) + { + return ::fast_io::intrinsics::details::umul_least_generic<::std::uint_least64_t, U>(a, b, high); + } + else if constexpr (sizeof(U) == sizeof(::std::uint_least16_t)) + { + return ::fast_io::intrinsics::details::umul_least_generic<::std::uint_least32_t, U>(a, b, high); + } + else if constexpr (sizeof(U) == sizeof(::std::uint_least8_t)) + { + return ::fast_io::intrinsics::details::umul_least_generic<::std::uint_least16_t, U>(a, b, high); + } +} + +} // namespace fast_io::intrinsics \ No newline at end of file From c791194139c18d3e4ade22e8a485f519a3fc9e36 Mon Sep 17 00:00:00 2001 From: trcrsired Date: Fri, 23 Aug 2024 00:57:01 -0400 Subject: [PATCH 02/26] remove div --- include/fast_io_core_impl/iso/iso8601.h | 202 ++++++++++++++++++------ 1 file changed, 151 insertions(+), 51 deletions(-) diff --git a/include/fast_io_core_impl/iso/iso8601.h b/include/fast_io_core_impl/iso/iso8601.h index 5cf9b454b..7335a0f49 100644 --- a/include/fast_io_core_impl/iso/iso8601.h +++ b/include/fast_io_core_impl/iso/iso8601.h @@ -21,7 +21,7 @@ struct basic_timestamp explicit constexpr operator flt_type() noexcept { // I know this is not accurate. but it is better than nothing - constexpr flt_type precision{static_cast(uint_least64_subseconds_per_second)}; + constexpr flt_type precision{static_cast(::fast_io::uint_least64_subseconds_per_second)}; return static_cast(seconds) + static_cast(subseconds) / precision; } }; @@ -55,44 +55,22 @@ struct timestamp_u ::std::uint_least64_t subseconds; }; -inline constexpr timestamp_u add_impl(timestamp_u a, timestamp_u b) noexcept +inline constexpr timestamp_u add_impl(::std::uint_least64_t aseconds, ::std::uint_least64_t asubseconds, ::std::uint_least64_t bseconds, ::std::uint_least64_t bsubseconds) noexcept { - constexpr ::std::uint_least64_t max_digit{::std::numeric_limits<::std::uint_least64_t>::max() / - uint_least64_subseconds_per_second}; - ::std::uint_least64_t res; - bool cf; - if constexpr (max_digit == 1) - { - cf = intrinsics::add_carry(false, a.subseconds, b.subseconds, res); - if (uint_least64_subseconds_per_second <= res) - { - res -= uint_least64_subseconds_per_second; - cf = true; - } - } - else - { - if ((cf = (uint_least64_subseconds_per_second <= res))) - { - res -= uint_least64_subseconds_per_second; - } - } - ::std::uint_least64_t seconds; - intrinsics::add_carry(cf, a.seconds, b.seconds, seconds); - return {seconds, res}; + bool carry{}; + ::std::uint_least64_t res{::fast_io::intrinsics::addc(asubseconds, bsubseconds, carry, carry)}; + bool carry2{}; + ::fast_io::intrinsics::subc(res, ::fast_io::uint_least64_subseconds_per_second, carry2, carry2); + res += (static_cast<::std::uint_least64_t>(0u - static_cast<::std::uint_least64_t>(carry2)) & ::fast_io::uint_least64_subseconds_per_second); + return {::fast_io::intrinsics::addc(aseconds, bseconds, carry | carry2, carry), res}; } -inline constexpr timestamp_u sub_impl(timestamp_u a, timestamp_u b) noexcept +inline constexpr timestamp_u sub_impl(::std::uint_least64_t aseconds, ::std::uint_least64_t asubseconds, ::std::uint_least64_t bseconds, ::std::uint_least64_t bsubseconds) noexcept { - ::std::uint_least64_t res; - ::std::uint_least64_t seconds; - bool borrow{intrinsics::sub_borrow(false, a.subseconds, b.subseconds, res)}; - intrinsics::sub_borrow(borrow, a.seconds, b.seconds, seconds); - if (borrow) - { - res += uint_least64_subseconds_per_second; - } - return {seconds, res}; + bool carry{}; + ::std::uint_least64_t res{::fast_io::intrinsics::subc(asubseconds, bsubseconds, carry, carry)}; + res += (static_cast<::std::uint_least64_t>(0u - static_cast<::std::uint_least64_t>(carry)) & ::fast_io::uint_least64_subseconds_per_second); + return {::fast_io::intrinsics::subc(aseconds, bseconds, carry, carry), res}; } inline constexpr basic_timestamp<0> div_uint(::std::int_least64_t rseconds, ::std::uint_least64_t subseconds, @@ -110,7 +88,7 @@ inline constexpr basic_timestamp<0> div_uint(::std::int_least64_t rseconds, ::st seconds = zero - seconds; } #ifdef __SIZEOF_INT128__ - __uint128_t total_subseconds{static_cast<__uint128_t>(seconds) * uint_least64_subseconds_per_second + subseconds}; + __uint128_t total_subseconds{static_cast<__uint128_t>(seconds) * ::fast_io::uint_least64_subseconds_per_second + subseconds}; ::std::uint_least64_t mid{d >> 1}; __uint128_t rr{total_subseconds % d}; ::std::uint_least64_t r{static_cast<::std::uint_least64_t>(rr)}; @@ -126,8 +104,8 @@ inline constexpr basic_timestamp<0> div_uint(::std::int_least64_t rseconds, ::st ++q; } } - ::std::uint_least64_t result_seconds{static_cast<::std::uint_least64_t>(q / uint_least64_subseconds_per_second)}; - ::std::uint_least64_t result_subseconds{static_cast<::std::uint_least64_t>(q % uint_least64_subseconds_per_second)}; + ::std::uint_least64_t result_seconds{static_cast<::std::uint_least64_t>(q / ::fast_io::uint_least64_subseconds_per_second)}; + ::std::uint_least64_t result_subseconds{static_cast<::std::uint_least64_t>(q % ::fast_io::uint_least64_subseconds_per_second)}; if (minus) { result_seconds = zero - result_seconds; @@ -137,7 +115,7 @@ inline constexpr basic_timestamp<0> div_uint(::std::int_least64_t rseconds, ::st constexpr ::std::uint_least64_t one{1}; ::std::uint_least64_t total_seconds_high; ::std::uint_least64_t total_seconds_low{ - intrinsics::umul(seconds, uint_least64_subseconds_per_second, total_seconds_high)}; + ::fast_io::intrinsics::umul(seconds, ::fast_io::uint_least64_subseconds_per_second, total_seconds_high)}; bool carry{}; @@ -153,7 +131,7 @@ inline constexpr basic_timestamp<0> div_uint(::std::int_least64_t rseconds, ::st q_high = ::fast_io::intrinsics::addc(q_high, zero, carry, carry); } auto [result_seconds_low, result_seconds_high, result_subseconds_low, result_subseconds_high] = - ::fast_io::intrinsics::udivmod(q_low, q_high, uint_least64_subseconds_per_second, zero); + ::fast_io::intrinsics::udivmod(q_low, q_high, ::fast_io::uint_least64_subseconds_per_second, zero); if (minus) { result_seconds_low = zero - result_seconds_low; @@ -162,6 +140,96 @@ inline constexpr basic_timestamp<0> div_uint(::std::int_least64_t rseconds, ::st #endif } +inline constexpr basic_timestamp<0> div_unix_timestamp(::std::int_least64_t dividend_seconds, ::std::uint_least64_t dividend_subseconds, + ::std::int_least64_t divisor_seconds, ::std::uint_least64_t divisor_subseconds) noexcept +{ + if (divisor_seconds == 0 && divisor_subseconds == 0) + { + ::fast_io::fast_terminate(); + } + bool const dividend_negative{dividend_seconds < 0}; + bool const divisor_negative{divisor_seconds < 0}; + bool const result_negative{(static_cast(divisor_negative) ^ static_cast(dividend_negative)) != 0}; + constexpr ::std::uint_least64_t zero{}; + ::std::uint_least64_t udividend_seconds{static_cast<::std::uint_least64_t>(dividend_seconds)}; + ::std::uint_least64_t udivisor_seconds{static_cast<::std::uint_least64_t>(divisor_seconds)}; + + if (dividend_negative) + { + udividend_seconds = zero - udividend_seconds; + } + if (divisor_negative) + { + udivisor_seconds = zero - udivisor_seconds; + } + + ::std::uint_least64_t dividend_total_seconds_high; + ::std::uint_least64_t dividend_total_seconds_low{ + ::fast_io::intrinsics::umul(udividend_seconds, ::fast_io::uint_least64_subseconds_per_second, dividend_total_seconds_high)}; + + bool carry{}; + + dividend_total_seconds_low = ::fast_io::intrinsics::addc(dividend_total_seconds_low, dividend_subseconds, carry, carry); + dividend_total_seconds_high = ::fast_io::intrinsics::addc(dividend_total_seconds_high, zero, carry, carry); + + ::std::uint_least64_t divisor_total_seconds_high; + ::std::uint_least64_t divisor_total_seconds_low{ + ::fast_io::intrinsics::umul(udivisor_seconds, ::fast_io::uint_least64_subseconds_per_second, divisor_total_seconds_high)}; + + carry = 0; + + divisor_total_seconds_low = ::fast_io::intrinsics::addc(divisor_total_seconds_low, divisor_subseconds, carry, carry); + divisor_total_seconds_high = ::fast_io::intrinsics::addc(divisor_total_seconds_high, zero, carry, carry); + + auto [q_low, q_high, r_low, r_high] = ::fast_io::intrinsics::udivmod(dividend_total_seconds_low, dividend_total_seconds_high, divisor_total_seconds_low, divisor_total_seconds_high); + + auto divisor_total_seconds_div2_low{::fast_io::intrinsics::shiftright(divisor_total_seconds_low, divisor_total_seconds_high, 1u)}; + auto divisor_total_seconds_div2_high{divisor_total_seconds_high >> 1u}; + + carry = false; + + ::fast_io::intrinsics::subc(divisor_total_seconds_div2_low, r_low, carry, carry); + ::fast_io::intrinsics::subc(divisor_total_seconds_div2_high, r_high, carry, carry); + if ((!carry) && (((divisor_total_seconds_low & 1u) == 0u) && (r_low == divisor_total_seconds_div2_low || r_high == divisor_total_seconds_div2_high))) + { + // mid point case + carry = ((q_low & 1u) != 0u); + } + q_low = ::fast_io::intrinsics::addc(q_low, zero, carry, carry); + q_high = ::fast_io::intrinsics::addc(q_high, zero, carry, carry); + if (carry) + { + ::fast_io::fast_terminate(); + } + auto [seconds_low, seconds_high, subseconds_low, subseconds_high] = ::fast_io::intrinsics::udivmod(q_low, q_high, ::fast_io::uint_least64_subseconds_per_second, zero); +#if __has_cpp_attribute(assume) + [[assume(subseconds_high == 0u)]]; +#endif + if (seconds_high || subseconds_high) + { + ::fast_io::fast_terminate(); + } + + if (result_negative) + { + constexpr ::std::uint_least64_t mx{(::std::numeric_limits<::std::uint_least64_t>::max() >> 1u) + 1u}; + if (mx < seconds_low) + { + ::fast_io::fast_terminate(); + } + seconds_low = static_cast<::std::uint_least64_t>(zero - seconds_low); + } + else + { + constexpr ::std::uint_least64_t mx{(::std::numeric_limits<::std::uint_least64_t>::max() >> 1u)}; + if (mx < seconds_low) + { + ::fast_io::fast_terminate(); + } + } + return {static_cast<::std::int_least64_t>(seconds_low), subseconds_low}; +} + } // namespace details template <::std::int_least64_t off_to_epoch> @@ -184,7 +252,7 @@ inline constexpr basic_timestamp operator+(basic_timestamp(b.seconds)}; b_abs = 0u - b_abs; - auto res{details::add_impl({a_abs, a.subseconds}, {b_abs, b.subseconds})}; + auto res{::fast_io::details::add_impl(a_abs, a.subseconds, b_abs, b.subseconds)}; res.seconds = 0u - res.seconds; return {static_cast<::std::int_least64_t>(res.seconds), res.subseconds}; } @@ -193,12 +261,12 @@ inline constexpr basic_timestamp operator+(basic_timestamp(b.seconds)}; if (a_abs < b_abs || (a_abs == b_abs && a.subseconds < b.subseconds)) { - auto res{details::sub_impl({b_abs, b.subseconds}, {a_abs, a.subseconds})}; + auto res{::fast_io::details::sub_impl(b_abs, b.subseconds, a_abs, a.subseconds)}; return {static_cast<::std::int_least64_t>(res.seconds), res.subseconds}; } else { - auto res{details::sub_impl({a_abs, a.subseconds}, {b_abs, b.subseconds})}; + auto res{::fast_io::details::sub_impl(a_abs, a.subseconds, b_abs, b.subseconds)}; res.seconds = 0u - res.seconds; return {static_cast<::std::int_least64_t>(res.seconds), res.subseconds}; } @@ -213,20 +281,20 @@ inline constexpr basic_timestamp operator+(basic_timestamp(res.seconds), res.subseconds}; } else { - auto res{details::sub_impl({a_abs, a.subseconds}, {b_abs, b.subseconds})}; + auto res{::fast_io::details::sub_impl(a_abs, a.subseconds, b_abs, b.subseconds)}; return {static_cast<::std::int_least64_t>(res.seconds), res.subseconds}; } } else { ::std::uint_least64_t b_abs{static_cast<::std::uint_least64_t>(b.seconds)}; - auto res{details::add_impl({a_abs, a.subseconds}, {b_abs, b.subseconds})}; + auto res{::fast_io::details::add_impl(a_abs, a.subseconds, b_abs, b.subseconds)}; return {static_cast<::std::int_least64_t>(res.seconds), res.subseconds}; } } @@ -257,11 +325,11 @@ inline constexpr basic_timestamp operator/(basic_timestamp &operator/=(basic_timestamp +inline constexpr basic_timestamp &operator/=(basic_timestamp &a, + basic_timestamp b) noexcept +{ + if constexpr (off_to_epoch == 0) + { + return a = ::fast_io::details::div_unix_timestamp(a.seconds, a.subseconds, b.seconds, b.subseconds); } else { - auto [seconds, subseconds] = details::div_uint(a.seconds, a.subseconds, b); + auto [seconds, subseconds] = ::fast_io::details::div_unix_timestamp(a.seconds, a.subseconds, b.seconds, b.subseconds); a.seconds = seconds; a.subseconds = subseconds; return a; } } +template <::std::int_least64_t off_to_epoch> +inline constexpr basic_timestamp operator/(basic_timestamp a, + basic_timestamp b) noexcept +{ + if constexpr (off_to_epoch == 0) + { + return ::fast_io::details::div_unix_timestamp(a.seconds, a.subseconds, b.seconds, b.subseconds); + } + else + { + auto [seconds, subseconds] = ::fast_io::details::div_unix_timestamp(a.seconds, a.subseconds, b.seconds, b.subseconds); + return {seconds, subseconds}; + } +} +#endif /* https://www.epochconverter.com/seconds-days-since-y0 Seconds since year 0 (MySQL compatible) @@ -746,7 +846,7 @@ inline constexpr win32_timestamp to_win32_timestamp_ftu64(::std::uint_least64_t { ::std::uint_least64_t seconds{ftu64 / 10000000ULL}; ::std::uint_least64_t subseconds{ftu64 % 10000000ULL}; - constexpr ::std::uint_least64_t mul_factor{uint_least64_subseconds_per_second / 10000000u}; + constexpr ::std::uint_least64_t mul_factor{::fast_io::uint_least64_subseconds_per_second / 10000000u}; return {static_cast<::std::int_least64_t>(seconds), static_cast<::std::uint_least64_t>(subseconds * mul_factor)}; } From b16da3d9202057df078fa90884429df9e35bbd7f Mon Sep 17 00:00:00 2001 From: trcrsired Date: Fri, 23 Aug 2024 01:00:11 -0400 Subject: [PATCH 03/26] update .h --- include/fast_io_core_impl/intrinsics/umul.h | 31 +++------------------ 1 file changed, 4 insertions(+), 27 deletions(-) diff --git a/include/fast_io_core_impl/intrinsics/umul.h b/include/fast_io_core_impl/intrinsics/umul.h index ed103b39b..651e49230 100644 --- a/include/fast_io_core_impl/intrinsics/umul.h +++ b/include/fast_io_core_impl/intrinsics/umul.h @@ -46,7 +46,7 @@ inline constexpr U unpack_generic(T a, U &high) noexcept template requires(sizeof(T) == sizeof(U) * 2) -inline constexpr T pack_generic(T a, U &high) noexcept +inline constexpr T pack_generic(U low, U high) noexcept { if constexpr (::std::endian::native == ::std::endian::little) { @@ -134,7 +134,7 @@ inline constexpr U umul(U a, U b, U &high) noexcept return static_cast<::std::uint_least64_t>(res); } else -#elif __cpp_lib_is_constant_evaluated >= 201811L +#elif defined(__cpp_lib_is_constant_evaluated) if (::std::is_constant_evaluated()) { __uint128_t res{static_cast<__uint128_t>(a) * b}; @@ -145,35 +145,12 @@ inline constexpr U umul(U a, U b, U &high) noexcept #endif { -#if defined(__has_builtin) +#if defined(__cpp_lib_bit_cast) if constexpr (::std::endian::native == ::std::endian::little || ::std::endian::native == ::std::endian::big) { - struct u64x2_little_endian_t - { - ::std::uint_least64_t low, high; - }; - struct u64x2_big_endian_t - { - ::std::uint_least64_t high, low; - }; - using u64x2_t = ::std::conditional_t<::std::endian::native == ::std::endian::little, u64x2_little_endian_t, - u64x2_big_endian_t>; - static_assert(sizeof(__uint128_t) == sizeof(u64x2_t)); -#if __has_builtin(__builtin_bit_cast) - auto u{__builtin_bit_cast(u64x2_t, static_cast<__uint128_t>(a) * b)}; + auto u{__builtin_bit_cast(::fast_io::intrinsics::ul64x2, static_cast<__uint128_t>(a) * b)}; high = u.high; return u.low; -#else - __uint128_t res{static_cast<__uint128_t>(a) * b}; - u64x2_t u; -#if __has_builtin(__builtin_memcpy) - __builtin_memcpy(__builtin_addressof(u), __builtin_addressof(res), sizeof(u64x2_t)); -#else - ::std::memcpy(__builtin_addressof(u), __builtin_addressof(res), sizeof(u64x2_t)); -#endif - high = u.high; - return u.low; -#endif } else #endif From c2e4a108037aeaaf6535ff414502fdabf868b071 Mon Sep 17 00:00:00 2001 From: trcrsired Date: Fri, 23 Aug 2024 17:42:01 -0400 Subject: [PATCH 04/26] fix build error for msvc umul --- include/fast_io_core_impl/intrinsics/umul.h | 2 +- 1 file changed, 1 insertion(+), 1 deletion(-) diff --git a/include/fast_io_core_impl/intrinsics/umul.h b/include/fast_io_core_impl/intrinsics/umul.h index 651e49230..7bc74e874 100644 --- a/include/fast_io_core_impl/intrinsics/umul.h +++ b/include/fast_io_core_impl/intrinsics/umul.h @@ -175,7 +175,7 @@ inline constexpr U umul(U a, U b, U &high) noexcept else #endif { - return ::fast_io::intrinsics::msvc::_umul128(a, b, __builtin_addressof(high)); + return ::fast_io::intrinsics::msvc::x86::_umul128(a, b, __builtin_addressof(high)); } #else return ::fast_io::intrinsics::details::umul_least_generic_emulated(a, b, high); From 2b0d4744317e97fe446ecce7b603d07916785daf Mon Sep 17 00:00:00 2001 From: trcrsired Date: Fri, 23 Aug 2024 17:53:20 -0400 Subject: [PATCH 05/26] umul fix big endian --- include/fast_io_core_impl/intrinsics/umul.h | 2 +- 1 file changed, 1 insertion(+), 1 deletion(-) diff --git a/include/fast_io_core_impl/intrinsics/umul.h b/include/fast_io_core_impl/intrinsics/umul.h index 7bc74e874..2c35c0e78 100644 --- a/include/fast_io_core_impl/intrinsics/umul.h +++ b/include/fast_io_core_impl/intrinsics/umul.h @@ -54,7 +54,7 @@ inline constexpr T pack_generic(U low, U high) noexcept } else if constexpr (::std::endian::native == ::std::endian::big) { - return __builtin_bit_cast(T, ::fast_io::intrinsics::ul_generic_x2_little_endian{high, low}); // get around gcc bug + return __builtin_bit_cast(T, ::fast_io::intrinsics::ul_generic_x2_big_endian{high, low}); // get around gcc bug } else { From 3ae293cab89f2b64f5bcdcff0a06fd764ba50bfc Mon Sep 17 00:00:00 2001 From: trcrsired Date: Fri, 23 Aug 2024 17:59:10 -0400 Subject: [PATCH 06/26] avoid code duplications in umul --- include/fast_io_core_impl/intrinsics/umul.h | 15 +++++---------- 1 file changed, 5 insertions(+), 10 deletions(-) diff --git a/include/fast_io_core_impl/intrinsics/umul.h b/include/fast_io_core_impl/intrinsics/umul.h index 2c35c0e78..2899b7e33 100644 --- a/include/fast_io_core_impl/intrinsics/umul.h +++ b/include/fast_io_core_impl/intrinsics/umul.h @@ -126,23 +126,18 @@ inline constexpr U umul(U a, U b, U &high) noexcept if constexpr (sizeof(U) == sizeof(::std::uint_least64_t)) { #ifdef __SIZEOF_INT128__ -#if __cpp_if_consteval >= 202106L +#if defined(__cpp_lib_is_constant_evaluated) || defined(__cpp_if_consteval) +#if defined(__cpp_if_consteval) if consteval +#else + if (__builtin_is_constant_evaluated()) +#endif { __uint128_t res{static_cast<__uint128_t>(a) * b}; high = static_cast<::std::uint_least64_t>(res >> 64u); return static_cast<::std::uint_least64_t>(res); } else -#elif defined(__cpp_lib_is_constant_evaluated) - if (::std::is_constant_evaluated()) - { - __uint128_t res{static_cast<__uint128_t>(a) * b}; - high = static_cast<::std::uint_least64_t>(res >> 64u); - return static_cast<::std::uint_least64_t>(res); - } - else - #endif { #if defined(__cpp_lib_bit_cast) From 78a9718a2d1ecf753d945199d8c5b533d6b6a2e8 Mon Sep 17 00:00:00 2001 From: trcrsired Date: Fri, 23 Aug 2024 18:19:19 -0400 Subject: [PATCH 07/26] add __umulh builtin import for msvc --- include/fast_io_core_impl/intrinsics/msvc/x86.h | 1 + 1 file changed, 1 insertion(+) diff --git a/include/fast_io_core_impl/intrinsics/msvc/x86.h b/include/fast_io_core_impl/intrinsics/msvc/x86.h index 9022f9cf3..1551bed7e 100644 --- a/include/fast_io_core_impl/intrinsics/msvc/x86.h +++ b/include/fast_io_core_impl/intrinsics/msvc/x86.h @@ -21,6 +21,7 @@ extern "C" unsigned __int64 __shiftleft128(unsigned __int64, unsigned __int64, unsigned char); unsigned __int64 __shiftright128(unsigned __int64, unsigned __int64, unsigned char); unsigned __int64 _umul128(unsigned __int64, unsigned __int64, unsigned __int64 *); + unsigned __int64 __umulh(unsigned __int64, unsigned __int64); } } // namespace fast_io::intrinsics::msvc::x86 From a7f9ceac0a8932d6a7603396bcc3bda04c34c56f Mon Sep 17 00:00:00 2001 From: trcrsired Date: Fri, 23 Aug 2024 18:59:29 -0400 Subject: [PATCH 08/26] attempt to phase out old add_carry --- include/fast_io_core_impl/intrinsics/umul.h | 163 ++++++++++++++++++-- include/fast_io_unit/floating/roundtrip.h | 12 +- 2 files changed, 159 insertions(+), 16 deletions(-) diff --git a/include/fast_io_core_impl/intrinsics/umul.h b/include/fast_io_core_impl/intrinsics/umul.h index 2899b7e33..bde487b4b 100644 --- a/include/fast_io_core_impl/intrinsics/umul.h +++ b/include/fast_io_core_impl/intrinsics/umul.h @@ -15,11 +15,12 @@ struct ul_generic_x2_big_endian }; template -using ul_generic_x2 = ::std::conditional_t<::std::endian::native == ::std::endian::big, ul_generic_x2_big_endian, - ul_generic_x2_little_endian>; +using ul_generic_x2 = ::std::conditional_t<::std::endian::native == ::std::endian::big, + ::fast_io::intrinsics::ul_generic_x2_big_endian, + ::fast_io::intrinsics::ul_generic_x2_little_endian>; -using ul32x2 = ul_generic_x2<::std::uint_least32_t>; -using ul64x2 = ul_generic_x2<::std::uint_least64_t>; +using ul32x2 = ::fast_io::intrinsics::ul_generic_x2<::std::uint_least32_t>; +using ul64x2 = ::fast_io::intrinsics::ul_generic_x2<::std::uint_least64_t>; template requires(sizeof(T) == sizeof(U) * 2) @@ -118,6 +119,80 @@ inline constexpr T umul_least_generic_emulated(T a, T b, T &high) noexcept return ::fast_io::intrinsics::pack_generic(c0, c1); } + +template + requires(sizeof(T) == sizeof(U) * 2) +inline constexpr U umulh_least_generic(U a, U b) noexcept +{ +#if defined(__has_builtin) && defined(__GNUC__) && !defined(__clang__) +#if __has_builtin(__builtin_bit_cast) + if constexpr (::std::endian::native == ::std::endian::little || ::std::endian::native == ::std::endian::big) + { + auto ret{__builtin_bit_cast(::fast_io::intrinsics::ul_generic_x2, static_cast(a) * b)}; + return ret.high; + } + else +#endif +#endif + { + T v{static_cast(a) * b}; + return static_cast(v >> (::std::numeric_limits::digits)) + } +} + +template + requires(sizeof(T) == sizeof(::std::uint_least64_t)) +inline constexpr T umulh_least_generic_emulated(T a, T b) noexcept +{ + using U = ::std::uint_least32_t; + U a1; + U a0{::fast_io::intrinsics::unpack_generic(a, a1)}; + U b1; + U b0{::fast_io::intrinsics::unpack_generic(b, b1)}; + +#if 0 + U c1; + U c0{::fast_io::intrinsics::details::umul_least_generic(a0, b0, c1)}; + U a0b1h; + U a0b1l{::fast_io::intrinsics::details::umul_least_generic(a0, b1, a0b1h)}; + U a1b0h; + U a1b0l{::fast_io::intrinsics::details::umul_least_generic(a1, b0, a1b0h)}; + U c3; + U c2{::fast_io::intrinsics::details::umul_least_generic(a1, b1, c3)}; + constexpr U zero{}; + bool carry{}; + c1 = ::fast_io::intrinsics::addc(c1, a0b1l, carry, carry); + c2 = ::fast_io::intrinsics::addc(c2, a0b1h, carry, carry); + c3 = ::fast_io::intrinsics::addc(c3, zero, carry, carry); + carry = false; + c1 = ::fast_io::intrinsics::addc(c1, a1b0l, carry, carry); + c2 = ::fast_io::intrinsics::addc(c2, a1b0h, carry, carry); + c3 = ::fast_io::intrinsics::addc(c3, zero, carry, carry); + + high = ::fast_io::intrinsics::pack_generic(c2, c3); + return ::fast_io::intrinsics::pack_generic(c0, c1); +#else + U c1{::fast_io::intrinsics::details::umulh_least_generic(a0, b0)}; + U a0b1h; + U a0b1l{::fast_io::intrinsics::details::umul_least_generic(a0, b1, a0b1h)}; + U a1b0h; + U a1b0l{::fast_io::intrinsics::details::umul_least_generic(a1, b0, a1b0h)}; + U c3; + U c2{::fast_io::intrinsics::details::umul_least_generic(a1, b1, c3)}; + constexpr U zero{}; + bool carry{}; + c1 = ::fast_io::intrinsics::addc(c1, a0b1l, carry, carry); + c2 = ::fast_io::intrinsics::addc(c2, a0b1h, carry, carry); + c3 = ::fast_io::intrinsics::addc(c3, zero, carry, carry); + carry = false; + c1 = ::fast_io::intrinsics::addc(c1, a1b0l, carry, carry); + c2 = ::fast_io::intrinsics::addc(c2, a1b0h, carry, carry); + c3 = ::fast_io::intrinsics::addc(c3, zero, carry, carry); + + return ::fast_io::intrinsics::pack_generic(c2, c3); +#endif +} + } // namespace details template <::std::unsigned_integral U> @@ -156,14 +231,12 @@ inline constexpr U umul(U a, U b, U &high) noexcept } } #elif defined(_MSC_VER) && defined(_M_X64) -#if __cpp_if_consteval >= 202106L +#if defined(__cpp_lib_is_constant_evaluated) || defined(__cpp_if_consteval) +#if defined(__cpp_if_consteval) if consteval - { - return ::fast_io::intrinsics::details::umul_least_generic_emulated(a, b, high); - } - else -#elif __cpp_lib_is_constant_evaluated >= 201811L - if (::std::is_constant_evaluated()) +#else + if (__builtin_is_constant_evaluated()) +#endif { return ::fast_io::intrinsics::details::umul_least_generic_emulated(a, b, high); } @@ -190,4 +263,72 @@ inline constexpr U umul(U a, U b, U &high) noexcept } } +template <::std::unsigned_integral U> +inline constexpr U umulh(U a, U b) noexcept +{ + if constexpr (sizeof(U) == sizeof(::std::uint_least64_t)) + { +#ifdef __SIZEOF_INT128__ +#if defined(__cpp_lib_is_constant_evaluated) || defined(__cpp_if_consteval) +#if defined(__cpp_if_consteval) + if consteval +#else + if (__builtin_is_constant_evaluated()) +#endif + { + __uint128_t res{static_cast<__uint128_t>(a) * b}; + high = static_cast<::std::uint_least64_t>(res >> 64u); + return static_cast<::std::uint_least64_t>(res); + } + else +#endif + { +#if defined(__cpp_lib_bit_cast) + if constexpr (::std::endian::native == ::std::endian::little || ::std::endian::native == ::std::endian::big) + { + auto u{__builtin_bit_cast(::fast_io::intrinsics::ul64x2, static_cast<__uint128_t>(a) * b)}; + high = u.high; + return u.low; + } + else +#endif + { + __uint128_t res{static_cast<__uint128_t>(a) * b}; + high = static_cast<::std::uint_least64_t>(res >> 64u); + return static_cast<::std::uint_least64_t>(res); + } + } +#elif defined(_MSC_VER) && defined(_M_X64) +#if defined(__cpp_lib_is_constant_evaluated) || defined(__cpp_if_consteval) +#if defined(__cpp_if_consteval) + if consteval +#else + if (__builtin_is_constant_evaluated()) +#endif + { + return ::fast_io::intrinsics::details::umulh_least_generic_emulated(a, b); + } + else +#endif + { + return ::fast_io::intrinsics::msvc::x86::_umulh(a, b); + } +#else + return ::fast_io::intrinsics::details::umulh_least_generic_emulated(a, b); +#endif + } + else if constexpr (sizeof(U) == sizeof(::std::uint_least32_t)) + { + return ::fast_io::intrinsics::details::umulh_least_generic<::std::uint_least64_t, U>(a, b); + } + else if constexpr (sizeof(U) == sizeof(::std::uint_least16_t)) + { + return ::fast_io::intrinsics::details::umulh_least_generic<::std::uint_least32_t, U>(a, b); + } + else if constexpr (sizeof(U) == sizeof(::std::uint_least8_t)) + { + return ::fast_io::intrinsics::details::umulh_least_generic<::std::uint_least16_t, U>(a, b); + } +} + } // namespace fast_io::intrinsics \ No newline at end of file diff --git a/include/fast_io_unit/floating/roundtrip.h b/include/fast_io_unit/floating/roundtrip.h index 49d255443..8b96b0405 100644 --- a/include/fast_io_unit/floating/roundtrip.h +++ b/include/fast_io_unit/floating/roundtrip.h @@ -94,24 +94,26 @@ inline constexpr ::std::int_least32_t mul_ln10_div_ln2_floor(::std::int_least32_ inline constexpr ::std::uint_least64_t mulshift_float64(::std::uint_least64_t x, ::std::uint_least64_t ylow, ::std::uint_least64_t yhigh) noexcept { - ::std::uint_least64_t p0high{intrinsics::umul_least64_high(x, ylow)}; + ::std::uint_least64_t p0high{::fast_io::intrinsics::umulh(x, ylow)}; ::std::uint_least64_t p1high; - ::std::uint_least64_t p1low{intrinsics::umul(x, yhigh, p1high)}; + ::std::uint_least64_t p1low{::fast_io::intrinsics::umul(x, yhigh, p1high)}; constexpr ::std::uint_least64_t zero{}; - intrinsics::add_carry(intrinsics::add_carry(false, p1low, p0high, p1low), p1high, zero, p1high); + bool carry{}; + ::fast_io::intrinsics::addc(p1low, p0high, carry, carry); + p1high = ::fast_io::intrinsics::addc(p1high, zero, carry, carry); return p1high; } inline constexpr ::std::uint_least32_t mulshift_float32(::std::uint_least32_t x, ::std::uint_least64_t y) noexcept { - return static_cast<::std::uint_least32_t>(intrinsics::umul_least64_high(x, y)); + return static_cast<::std::uint_least32_t>(::fast_io::intrinsics::umulh(x, y)); } inline constexpr bool mul_parity_float64(::std::uint_least64_t two_f, ::std::uint_least64_t pow10_low, ::std::uint_least64_t pow10_high, ::std::int_least32_t beta_minus_1) noexcept { ::std::uint_least64_t const p01{two_f * pow10_high}; - ::std::uint_least64_t const p10{intrinsics::umul_least64_high(two_f, pow10_low)}; + ::std::uint_least64_t const p10{::fast_io::intrinsics::umulh(two_f, pow10_low)}; ::std::uint_least64_t const mid{p01 + p10}; constexpr ::std::uint_least64_t one{1}; return (mid & (one << (64 - beta_minus_1))); From e6910740c4bcb054bd8c95c2a93e8cf8c1460bd4 Mon Sep 17 00:00:00 2001 From: trcrsired Date: Fri, 23 Aug 2024 19:01:14 -0400 Subject: [PATCH 09/26] umul --- include/fast_io_core_impl/intrinsics/umul.h | 2 +- 1 file changed, 1 insertion(+), 1 deletion(-) diff --git a/include/fast_io_core_impl/intrinsics/umul.h b/include/fast_io_core_impl/intrinsics/umul.h index bde487b4b..05b87f8e3 100644 --- a/include/fast_io_core_impl/intrinsics/umul.h +++ b/include/fast_io_core_impl/intrinsics/umul.h @@ -136,7 +136,7 @@ inline constexpr U umulh_least_generic(U a, U b) noexcept #endif { T v{static_cast(a) * b}; - return static_cast(v >> (::std::numeric_limits::digits)) + return static_cast(v >> (::std::numeric_limits::digits)); } } From 76ec724ac95037d9712803d92cdd39c33f527cbe Mon Sep 17 00:00:00 2001 From: trcrsired Date: Fri, 23 Aug 2024 20:46:09 -0400 Subject: [PATCH 10/26] Fix umul.h --- include/fast_io_core_impl/intrinsics/umul.h | 263 +++++++++++--------- include/fast_io_unit/floating/roundtrip.h | 2 +- 2 files changed, 151 insertions(+), 114 deletions(-) diff --git a/include/fast_io_core_impl/intrinsics/umul.h b/include/fast_io_core_impl/intrinsics/umul.h index 05b87f8e3..1be2b9bc2 100644 --- a/include/fast_io_core_impl/intrinsics/umul.h +++ b/include/fast_io_core_impl/intrinsics/umul.h @@ -16,8 +16,8 @@ struct ul_generic_x2_big_endian template using ul_generic_x2 = ::std::conditional_t<::std::endian::native == ::std::endian::big, - ::fast_io::intrinsics::ul_generic_x2_big_endian, - ::fast_io::intrinsics::ul_generic_x2_little_endian>; + ::fast_io::intrinsics::ul_generic_x2_big_endian, + ::fast_io::intrinsics::ul_generic_x2_little_endian>; using ul32x2 = ::fast_io::intrinsics::ul_generic_x2<::std::uint_least32_t>; using ul64x2 = ::fast_io::intrinsics::ul_generic_x2<::std::uint_least64_t>; @@ -88,37 +88,57 @@ inline constexpr U umul_least_generic(U a, U b, U &high) noexcept } } -template +template requires(sizeof(T) == sizeof(::std::uint_least64_t)) -inline constexpr T umul_least_generic_emulated(T a, T b, T &high) noexcept +inline constexpr T umul_least64_generic_emulated(U a, T b, U &high) noexcept { - using U = ::std::uint_least32_t; - U a1; - U a0{::fast_io::intrinsics::unpack_generic(a, a1)}; - U b1; - U b0{::fast_io::intrinsics::unpack_generic(b, b1)}; - U c1; - U c0{::fast_io::intrinsics::details::umul_least_generic(a0, b0, c1)}; - U a0b1h; - U a0b1l{::fast_io::intrinsics::details::umul_least_generic(a0, b1, a0b1h)}; - U a1b0h; - U a1b0l{::fast_io::intrinsics::details::umul_least_generic(a1, b0, a1b0h)}; - U c3; - U c2{::fast_io::intrinsics::details::umul_least_generic(a1, b1, c3)}; - constexpr U zero{}; - bool carry{}; - c1 = ::fast_io::intrinsics::addc(c1, a0b1l, carry, carry); - c2 = ::fast_io::intrinsics::addc(c2, a0b1h, carry, carry); - c3 = ::fast_io::intrinsics::addc(c3, zero, carry, carry); - carry = false; - c1 = ::fast_io::intrinsics::addc(c1, a1b0l, carry, carry); - c2 = ::fast_io::intrinsics::addc(c2, a1b0h, carry, carry); - c3 = ::fast_io::intrinsics::addc(c3, zero, carry, carry); + using S = ::std::uint_least32_t; + if constexpr (sizeof(U) == sizeof(T)) + { + S a1; + S a0{::fast_io::intrinsics::unpack_generic(a, a1)}; + S b1; + S b0{::fast_io::intrinsics::unpack_generic(b, b1)}; + S c1; + S c0{::fast_io::intrinsics::details::umul_least_generic(a0, b0, c1)}; + S a0b1h; + S a0b1l{::fast_io::intrinsics::details::umul_least_generic(a0, b1, a0b1h)}; + S a1b0h; + S a1b0l{::fast_io::intrinsics::details::umul_least_generic(a1, b0, a1b0h)}; + S c3; + S c2{::fast_io::intrinsics::details::umul_least_generic(a1, b1, c3)}; + constexpr S zero{}; + bool carry{}; + c1 = ::fast_io::intrinsics::addc(c1, a0b1l, carry, carry); + c2 = ::fast_io::intrinsics::addc(c2, a0b1h, carry, carry); + c3 = ::fast_io::intrinsics::addc(c3, zero, carry, carry); + carry = false; + c1 = ::fast_io::intrinsics::addc(c1, a1b0l, carry, carry); + c2 = ::fast_io::intrinsics::addc(c2, a1b0h, carry, carry); + c3 = ::fast_io::intrinsics::addc(c3, zero, carry, carry); - high = ::fast_io::intrinsics::pack_generic(c2, c3); - return ::fast_io::intrinsics::pack_generic(c0, c1); -} + high = ::fast_io::intrinsics::pack_generic(c2, c3); + return ::fast_io::intrinsics::pack_generic(c0, c1); + } + else + { + S a0{a}; + S b1; + S b0{::fast_io::intrinsics::unpack_generic(b, b1)}; + S c1; + S c0{::fast_io::intrinsics::details::umul_least_generic(a0, b0, c1)}; + S a0b1h; + S a0b1l{::fast_io::intrinsics::details::umul_least_generic(a0, b1, a0b1h)}; + constexpr S zero{}; + bool carry{}; + c1 = ::fast_io::intrinsics::addc(c1, a0b1l, carry, carry); + a0b1h = ::fast_io::intrinsics::addc(zero, a0b1h, carry, carry); + + high = a0b1h; + return ::fast_io::intrinsics::pack_generic(c0, c1); + } +} template requires(sizeof(T) == sizeof(U) * 2) @@ -140,65 +160,64 @@ inline constexpr U umulh_least_generic(U a, U b) noexcept } } -template +template requires(sizeof(T) == sizeof(::std::uint_least64_t)) -inline constexpr T umulh_least_generic_emulated(T a, T b) noexcept +inline constexpr U umulh_least64_generic_emulated(U a, T b) noexcept { - using U = ::std::uint_least32_t; - U a1; - U a0{::fast_io::intrinsics::unpack_generic(a, a1)}; - U b1; - U b0{::fast_io::intrinsics::unpack_generic(b, b1)}; + using S = ::std::uint_least32_t; + if constexpr (sizeof(U) == sizeof(T)) + { + S a1; + S a0{::fast_io::intrinsics::unpack_generic(a, a1)}; + S b1; + S b0{::fast_io::intrinsics::unpack_generic(b, b1)}; -#if 0 - U c1; - U c0{::fast_io::intrinsics::details::umul_least_generic(a0, b0, c1)}; - U a0b1h; - U a0b1l{::fast_io::intrinsics::details::umul_least_generic(a0, b1, a0b1h)}; - U a1b0h; - U a1b0l{::fast_io::intrinsics::details::umul_least_generic(a1, b0, a1b0h)}; - U c3; - U c2{::fast_io::intrinsics::details::umul_least_generic(a1, b1, c3)}; - constexpr U zero{}; - bool carry{}; - c1 = ::fast_io::intrinsics::addc(c1, a0b1l, carry, carry); - c2 = ::fast_io::intrinsics::addc(c2, a0b1h, carry, carry); - c3 = ::fast_io::intrinsics::addc(c3, zero, carry, carry); - carry = false; - c1 = ::fast_io::intrinsics::addc(c1, a1b0l, carry, carry); - c2 = ::fast_io::intrinsics::addc(c2, a1b0h, carry, carry); - c3 = ::fast_io::intrinsics::addc(c3, zero, carry, carry); + S c1{::fast_io::intrinsics::details::umulh_least_generic(a0, b0)}; + S a0b1h; + S a0b1l{::fast_io::intrinsics::details::umul_least_generic(a0, b1, a0b1h)}; + S a1b0h; + S a1b0l{::fast_io::intrinsics::details::umul_least_generic(a1, b0, a1b0h)}; + S c3; + S c2{::fast_io::intrinsics::details::umul_least_generic(a1, b1, c3)}; + constexpr S zero{}; + bool carry{}; + c1 = ::fast_io::intrinsics::addc(c1, a0b1l, carry, carry); + c2 = ::fast_io::intrinsics::addc(c2, a0b1h, carry, carry); + c3 = ::fast_io::intrinsics::addc(c3, zero, carry, carry); + carry = false; + c1 = ::fast_io::intrinsics::addc(c1, a1b0l, carry, carry); + c2 = ::fast_io::intrinsics::addc(c2, a1b0h, carry, carry); + c3 = ::fast_io::intrinsics::addc(c3, zero, carry, carry); - high = ::fast_io::intrinsics::pack_generic(c2, c3); - return ::fast_io::intrinsics::pack_generic(c0, c1); -#else - U c1{::fast_io::intrinsics::details::umulh_least_generic(a0, b0)}; - U a0b1h; - U a0b1l{::fast_io::intrinsics::details::umul_least_generic(a0, b1, a0b1h)}; - U a1b0h; - U a1b0l{::fast_io::intrinsics::details::umul_least_generic(a1, b0, a1b0h)}; - U c3; - U c2{::fast_io::intrinsics::details::umul_least_generic(a1, b1, c3)}; - constexpr U zero{}; - bool carry{}; - c1 = ::fast_io::intrinsics::addc(c1, a0b1l, carry, carry); - c2 = ::fast_io::intrinsics::addc(c2, a0b1h, carry, carry); - c3 = ::fast_io::intrinsics::addc(c3, zero, carry, carry); - carry = false; - c1 = ::fast_io::intrinsics::addc(c1, a1b0l, carry, carry); - c2 = ::fast_io::intrinsics::addc(c2, a1b0h, carry, carry); - c3 = ::fast_io::intrinsics::addc(c3, zero, carry, carry); + return ::fast_io::intrinsics::pack_generic(c2, c3); + } + else + { + S a0{a}; + S b1; + S b0{::fast_io::intrinsics::unpack_generic(b, b1)}; - return ::fast_io::intrinsics::pack_generic(c2, c3); -#endif + S c1{::fast_io::intrinsics::details::umulh_least_generic(a0, b0)}; + S a0b1h; + S a0b1l{::fast_io::intrinsics::details::umul_least_generic(a0, b1, a0b1h)}; + constexpr S zero{}; + bool carry{}; + ::fast_io::intrinsics::addc(c1, a0b1l, carry, carry); + + return ::fast_io::intrinsics::addc(zero, a0b1h, carry, carry); + } } +template +concept umul_unsigned_integral = ::std::unsigned_integral || ::std::same_as; + } // namespace details -template <::std::unsigned_integral U> -inline constexpr U umul(U a, U b, U &high) noexcept +template <::fast_io::intrinsics::details::umul_unsigned_integral U, ::fast_io::intrinsics::details::umul_unsigned_integral T> + requires(sizeof(U) <= sizeof(T)) +inline constexpr T umul(U a, T b, U &high) noexcept { - if constexpr (sizeof(U) == sizeof(::std::uint_least64_t)) + if constexpr (sizeof(T) == sizeof(::std::uint_least64_t)) { #ifdef __SIZEOF_INT128__ #if defined(__cpp_lib_is_constant_evaluated) || defined(__cpp_if_consteval) @@ -208,9 +227,9 @@ inline constexpr U umul(U a, U b, U &high) noexcept if (__builtin_is_constant_evaluated()) #endif { - __uint128_t res{static_cast<__uint128_t>(a) * b}; - high = static_cast<::std::uint_least64_t>(res >> 64u); - return static_cast<::std::uint_least64_t>(res); + __uint128_t res{a * static_cast<__uint128_t>(b)}; + high = static_cast(res >> 64u); + return static_cast(res); } else #endif @@ -218,16 +237,16 @@ inline constexpr U umul(U a, U b, U &high) noexcept #if defined(__cpp_lib_bit_cast) if constexpr (::std::endian::native == ::std::endian::little || ::std::endian::native == ::std::endian::big) { - auto u{__builtin_bit_cast(::fast_io::intrinsics::ul64x2, static_cast<__uint128_t>(a) * b)}; - high = u.high; + auto u{__builtin_bit_cast(::fast_io::intrinsics::ul64x2, a * static_cast<__uint128_t>(b))}; + high = static_cast(u.high); return u.low; } else #endif { - __uint128_t res{static_cast<__uint128_t>(a) * b}; - high = static_cast<::std::uint_least64_t>(res >> 64u); - return static_cast<::std::uint_least64_t>(res); + __uint128_t res{a * static_cast<__uint128_t>(b)}; + high = static_cast(res >> 64u); + return static_cast(res); } } #elif defined(_MSC_VER) && defined(_M_X64) @@ -238,35 +257,56 @@ inline constexpr U umul(U a, U b, U &high) noexcept if (__builtin_is_constant_evaluated()) #endif { - return ::fast_io::intrinsics::details::umul_least_generic_emulated(a, b, high); + return ::fast_io::intrinsics::details::umul_least64_generic_emulated(a, b, high); } else #endif { - return ::fast_io::intrinsics::msvc::x86::_umul128(a, b, __builtin_addressof(high)); + if constexpr (sizeof(U) == sizeof(::std::uint_least64_t)) + { + return ::fast_io::intrinsics::msvc::x86::_umul128(a, b, __builtin_addressof(high)); + } + else + { + T h; + T low{::fast_io::intrinsics::msvc::x86::_umul128(a, b, __builtin_addressof(high))}; + high = static_cast(h); + return low; + } } #else - return ::fast_io::intrinsics::details::umul_least_generic_emulated(a, b, high); + return ::fast_io::intrinsics::details::umul_least64_generic_emulated(a, b, high); #endif } - else if constexpr (sizeof(U) == sizeof(::std::uint_least32_t)) + else if constexpr (sizeof(T) == sizeof(::std::uint_least32_t)) { - return ::fast_io::intrinsics::details::umul_least_generic<::std::uint_least64_t, U>(a, b, high); + return ::fast_io::intrinsics::details::umul_least_generic<::std::uint_least64_t, T>(a, b, high); } - else if constexpr (sizeof(U) == sizeof(::std::uint_least16_t)) + else if constexpr (sizeof(T) == sizeof(::std::uint_least16_t)) { - return ::fast_io::intrinsics::details::umul_least_generic<::std::uint_least32_t, U>(a, b, high); + return ::fast_io::intrinsics::details::umul_least_generic<::std::uint_least32_t, T>(a, b, high); } - else if constexpr (sizeof(U) == sizeof(::std::uint_least8_t)) + else if constexpr (sizeof(T) == sizeof(::std::uint_least8_t)) { - return ::fast_io::intrinsics::details::umul_least_generic<::std::uint_least16_t, U>(a, b, high); + return ::fast_io::intrinsics::details::umul_least_generic<::std::uint_least16_t, T>(a, b, high); } } -template <::std::unsigned_integral U> -inline constexpr U umulh(U a, U b) noexcept +template <::fast_io::intrinsics::details::umul_unsigned_integral U, ::fast_io::intrinsics::details::umul_unsigned_integral T> + requires(sizeof(U) <= sizeof(T)) +inline constexpr T umull(U a, T b) noexcept { - if constexpr (sizeof(U) == sizeof(::std::uint_least64_t)) + if constexpr (sizeof(T) <= sizeof(::std::uint_least64_t)) + { + return static_cast(a * b); + } +} + +template <::fast_io::intrinsics::details::umul_unsigned_integral U, ::fast_io::intrinsics::details::umul_unsigned_integral T> + requires(sizeof(U) <= sizeof(T)) +inline constexpr U umulh(U a, T b) noexcept +{ + if constexpr (sizeof(T) == sizeof(::std::uint_least64_t)) { #ifdef __SIZEOF_INT128__ #if defined(__cpp_lib_is_constant_evaluated) || defined(__cpp_if_consteval) @@ -276,9 +316,8 @@ inline constexpr U umulh(U a, U b) noexcept if (__builtin_is_constant_evaluated()) #endif { - __uint128_t res{static_cast<__uint128_t>(a) * b}; - high = static_cast<::std::uint_least64_t>(res >> 64u); - return static_cast<::std::uint_least64_t>(res); + __uint128_t res{a * static_cast<__uint128_t>(b)}; + return static_cast(res >> 64u); } else #endif @@ -286,16 +325,14 @@ inline constexpr U umulh(U a, U b) noexcept #if defined(__cpp_lib_bit_cast) if constexpr (::std::endian::native == ::std::endian::little || ::std::endian::native == ::std::endian::big) { - auto u{__builtin_bit_cast(::fast_io::intrinsics::ul64x2, static_cast<__uint128_t>(a) * b)}; - high = u.high; - return u.low; + auto u{__builtin_bit_cast(::fast_io::intrinsics::ul64x2, a * static_cast<__uint128_t>(b))}; + return u.high; } else #endif { - __uint128_t res{static_cast<__uint128_t>(a) * b}; - high = static_cast<::std::uint_least64_t>(res >> 64u); - return static_cast<::std::uint_least64_t>(res); + __uint128_t res{a * static_cast<__uint128_t>(b)}; + return static_cast(res >> 64u); } } #elif defined(_MSC_VER) && defined(_M_X64) @@ -306,26 +343,26 @@ inline constexpr U umulh(U a, U b) noexcept if (__builtin_is_constant_evaluated()) #endif { - return ::fast_io::intrinsics::details::umulh_least_generic_emulated(a, b); + return ::fast_io::intrinsics::details::umulh_least64_generic_emulated(a, b); } else #endif { - return ::fast_io::intrinsics::msvc::x86::_umulh(a, b); + return static_cast(::fast_io::intrinsics::msvc::x86::_umulh(a, b)); } #else - return ::fast_io::intrinsics::details::umulh_least_generic_emulated(a, b); + return ::fast_io::intrinsics::details::umulh_least64_generic_emulated(a, b); #endif } - else if constexpr (sizeof(U) == sizeof(::std::uint_least32_t)) + else if constexpr (sizeof(T) == sizeof(::std::uint_least32_t)) { return ::fast_io::intrinsics::details::umulh_least_generic<::std::uint_least64_t, U>(a, b); } - else if constexpr (sizeof(U) == sizeof(::std::uint_least16_t)) + else if constexpr (sizeof(T) == sizeof(::std::uint_least16_t)) { return ::fast_io::intrinsics::details::umulh_least_generic<::std::uint_least32_t, U>(a, b); } - else if constexpr (sizeof(U) == sizeof(::std::uint_least8_t)) + else if constexpr (sizeof(T) == sizeof(::std::uint_least8_t)) { return ::fast_io::intrinsics::details::umulh_least_generic<::std::uint_least16_t, U>(a, b); } diff --git a/include/fast_io_unit/floating/roundtrip.h b/include/fast_io_unit/floating/roundtrip.h index 8b96b0405..1458dee7e 100644 --- a/include/fast_io_unit/floating/roundtrip.h +++ b/include/fast_io_unit/floating/roundtrip.h @@ -106,7 +106,7 @@ inline constexpr ::std::uint_least64_t mulshift_float64(::std::uint_least64_t x, inline constexpr ::std::uint_least32_t mulshift_float32(::std::uint_least32_t x, ::std::uint_least64_t y) noexcept { - return static_cast<::std::uint_least32_t>(::fast_io::intrinsics::umulh(x, y)); + return ::fast_io::intrinsics::umulh(x, y); } inline constexpr bool mul_parity_float64(::std::uint_least64_t two_f, ::std::uint_least64_t pow10_low, From 67d7a60997d2a4ecd64bc47791dddecfe3519438 Mon Sep 17 00:00:00 2001 From: trcrsired Date: Fri, 23 Aug 2024 20:50:57 -0400 Subject: [PATCH 11/26] fix umul werror --- include/fast_io_core_impl/intrinsics/umul.h | 2 +- 1 file changed, 1 insertion(+), 1 deletion(-) diff --git a/include/fast_io_core_impl/intrinsics/umul.h b/include/fast_io_core_impl/intrinsics/umul.h index 1be2b9bc2..4882c917a 100644 --- a/include/fast_io_core_impl/intrinsics/umul.h +++ b/include/fast_io_core_impl/intrinsics/umul.h @@ -326,7 +326,7 @@ inline constexpr U umulh(U a, T b) noexcept if constexpr (::std::endian::native == ::std::endian::little || ::std::endian::native == ::std::endian::big) { auto u{__builtin_bit_cast(::fast_io::intrinsics::ul64x2, a * static_cast<__uint128_t>(b))}; - return u.high; + return static_cast(u.high); } else #endif From 5ea40138db75e556788ce1f3bbdbbcaf2cf6ad86 Mon Sep 17 00:00:00 2001 From: trcrsired Date: Fri, 23 Aug 2024 20:52:48 -0400 Subject: [PATCH 12/26] fix umul.h --- include/fast_io_core_impl/intrinsics/umul.h | 2 +- 1 file changed, 1 insertion(+), 1 deletion(-) diff --git a/include/fast_io_core_impl/intrinsics/umul.h b/include/fast_io_core_impl/intrinsics/umul.h index 4882c917a..599b658bf 100644 --- a/include/fast_io_core_impl/intrinsics/umul.h +++ b/include/fast_io_core_impl/intrinsics/umul.h @@ -348,7 +348,7 @@ inline constexpr U umulh(U a, T b) noexcept else #endif { - return static_cast(::fast_io::intrinsics::msvc::x86::_umulh(a, b)); + return static_cast(::fast_io::intrinsics::msvc::x86::__umulh(a, b)); } #else return ::fast_io::intrinsics::details::umulh_least64_generic_emulated(a, b); From 3b2d3ac68e7851ad557cd00a4d65a6efd99fc96c Mon Sep 17 00:00:00 2001 From: trcrsired Date: Fri, 23 Aug 2024 22:09:41 -0400 Subject: [PATCH 13/26] add umul implementation for ul64x2 --- include/fast_io_core_impl/intrinsics/umul.h | 190 +++++++++++++++++++- 1 file changed, 186 insertions(+), 4 deletions(-) diff --git a/include/fast_io_core_impl/intrinsics/umul.h b/include/fast_io_core_impl/intrinsics/umul.h index 599b658bf..9ee8f0427 100644 --- a/include/fast_io_core_impl/intrinsics/umul.h +++ b/include/fast_io_core_impl/intrinsics/umul.h @@ -63,6 +63,24 @@ inline constexpr T pack_generic(U low, U high) noexcept } } +namespace details +{ +template +concept umul_unsigned_integral = ::std::unsigned_integral || ::std::same_as; +} + +template <::fast_io::intrinsics::details::umul_unsigned_integral U, ::fast_io::intrinsics::details::umul_unsigned_integral T> + requires(sizeof(U) <= sizeof(T)) +inline constexpr T umul(U a, T b, U &high) noexcept; + +template <::fast_io::intrinsics::details::umul_unsigned_integral U, ::fast_io::intrinsics::details::umul_unsigned_integral T> + requires(sizeof(U) <= sizeof(T)) +inline constexpr U umulh(U a, T b) noexcept; + +template <::fast_io::intrinsics::details::umul_unsigned_integral U, ::fast_io::intrinsics::details::umul_unsigned_integral T> + requires(sizeof(U) <= sizeof(T)) +inline constexpr T umull(U a, T b) noexcept; + namespace details { @@ -209,7 +227,138 @@ inline constexpr U umulh_least64_generic_emulated(U a, T b) noexcept } template -concept umul_unsigned_integral = ::std::unsigned_integral || ::std::same_as; + requires(sizeof(U) <= sizeof(::std::uint_least64_t)) +inline constexpr ::fast_io::intrinsics::ul64x2 umul_a0_least128_generic_emulated(U a0, ::std::uint_least64_t b0, ::std::uint_least64_t b1, U &high) noexcept +{ + U a0b0h; + ::std::uint_least64_t c0{::fast_io::intrinsics::umul(a0, b0, a0b0h)}; + U c2; + ::std::uint_least64_t a0b1l{::fast_io::intrinsics::umul(a0, b1, c2)}; + bool carry{}; + constexpr ::std::uint_least64_t zero{}; + ::std::uint_least64_t c1{::fast_io::intrinsics::addc(static_cast<::std::uint_least64_t>(a0b0h), a0b1l, carry, carry)}; + high = ::fast_io::intrinsics::addc(zero, c2, carry, carry); + if constexpr (::std::endian::native == ::std::endian::big) + { + return {c1, c0}; + } + else + { + return {c0, c1}; + } +} + +inline constexpr ::fast_io::intrinsics::ul64x2 umul_least128_generic_emulated(::std::uint_least64_t a0, ::std::uint_least64_t a1, ::std::uint_least64_t b0, ::std::uint_least64_t b1, ::fast_io::intrinsics::ul64x2 &high) noexcept +{ + ::std::uint_least64_t c1; + ::std::uint_least64_t c0{::fast_io::intrinsics::umul(a0, b0, c1)}; + ::std::uint_least64_t a0b1h; + ::std::uint_least64_t a0b1l{::fast_io::intrinsics::umul(a0, b1, a0b1h)}; + ::std::uint_least64_t a1b0h; + ::std::uint_least64_t a1b0l{::fast_io::intrinsics::umul(a1, b0, a1b0h)}; + ::std::uint_least64_t c3; + ::std::uint_least64_t c2{::fast_io::intrinsics::umul(a1, b1, c3)}; + constexpr ::std::uint_least64_t zero{}; + bool carry{}; + c1 = ::fast_io::intrinsics::addc(c1, a0b1l, carry, carry); + c2 = ::fast_io::intrinsics::addc(c2, a0b1h, carry, carry); + c3 = ::fast_io::intrinsics::addc(c3, zero, carry, carry); + carry = false; + c1 = ::fast_io::intrinsics::addc(c1, a1b0l, carry, carry); + c2 = ::fast_io::intrinsics::addc(c2, a1b0h, carry, carry); + c3 = ::fast_io::intrinsics::addc(c3, zero, carry, carry); + + if constexpr (::std::endian::native == ::std::endian::big) + { + high = {c3, c2}; + return {c1, c0}; + } + else + { + high = {c2, c3}; + return {c0, c1}; + } +} + +template + requires(sizeof(U) <= sizeof(::std::uint_least64_t)) +inline constexpr ::fast_io::intrinsics::ul64x2 umull_a0_least128_generic_emulated(U a0, ::std::uint_least64_t b0, ::std::uint_least64_t b1) noexcept +{ + U a0b0h; + ::std::uint_least64_t c0{::fast_io::intrinsics::umul(a0, b0, a0b0h)}; + ::std::uint_least64_t c1{a0 * b1}; + c1 += a0b0h; + if constexpr (::std::endian::native == ::std::endian::big) + { + return {c0, c1}; + } + else + { + return {c1, c0}; + } +} + +inline constexpr ::fast_io::intrinsics::ul64x2 umull_least128_generic_emulated(::std::uint_least64_t a0, ::std::uint_least64_t a1, ::std::uint_least64_t b0, ::std::uint_least64_t b1) noexcept +{ + ::std::uint_least64_t c1; + ::std::uint_least64_t c0{::fast_io::intrinsics::umul(a0, b0, c1)}; + ::std::uint_least64_t a0b1h; + ::std::uint_least64_t a0b1l{a0 * b1}; + ::std::uint_least64_t a1b0h; + ::std::uint_least64_t a1b0l{a1 * b0}; + c1 += a0b1l; + c1 += a1b0l; + if constexpr (::std::endian::native == ::std::endian::big) + { + return {c1, c0}; + } + else + { + return {c0, c1}; + } +} + +template + requires(sizeof(U) <= sizeof(::std::uint_least64_t)) +inline constexpr U umulh_a0_least128_generic_emulated(U a0, ::std::uint_least64_t b0, ::std::uint_least64_t b1) noexcept +{ + U a0b0h{::fast_io::intrinsics::umulh(a0, b0)}; + U c2; + ::std::uint_least64_t a0b1l{::fast_io::intrinsics::umul(a0, b1, c2)}; + bool carry{}; + constexpr ::std::uint_least64_t zero{}; + ::fast_io::intrinsics::addc(static_cast<::std::uint_least64_t>(a0b0h), a0b1l, carry, carry); + return ::fast_io::intrinsics::addc(zero, c2, carry, carry); +} + +inline constexpr ::fast_io::intrinsics::ul64x2 umulh_least128_generic_emulated(::std::uint_least64_t a0, ::std::uint_least64_t a1, ::std::uint_least64_t b0, ::std::uint_least64_t b1) noexcept +{ + ::std::uint_least64_t c1{::fast_io::intrinsics::umulh(a0, b0)}; + ::std::uint_least64_t a0b1h; + ::std::uint_least64_t a0b1l{::fast_io::intrinsics::umul(a0, b1, a0b1h)}; + ::std::uint_least64_t a1b0h; + ::std::uint_least64_t a1b0l{::fast_io::intrinsics::umul(a1, b0, a1b0h)}; + ::std::uint_least64_t c3; + ::std::uint_least64_t c2{::fast_io::intrinsics::umul(a1, b1, c3)}; + constexpr ::std::uint_least64_t zero{}; + bool carry{}; + c1 = ::fast_io::intrinsics::addc(c1, a0b1l, carry, carry); + c2 = ::fast_io::intrinsics::addc(c2, a0b1h, carry, carry); + c3 = ::fast_io::intrinsics::addc(c3, zero, carry, carry); + carry = false; + ::fast_io::intrinsics::addc(c1, a1b0l, carry, carry); + c2 = ::fast_io::intrinsics::addc(c2, a1b0h, carry, carry); + c3 = ::fast_io::intrinsics::addc(c3, zero, carry, carry); + + if constexpr (::std::endian::native == ::std::endian::big) + { + return {c3, c2}; + } + else + { + return {c2, c3}; + } +} } // namespace details @@ -217,7 +366,18 @@ template <::fast_io::intrinsics::details::umul_unsigned_integral U, ::fast_io::i requires(sizeof(U) <= sizeof(T)) inline constexpr T umul(U a, T b, U &high) noexcept { - if constexpr (sizeof(T) == sizeof(::std::uint_least64_t)) + if constexpr (::std::same_as) + { + if constexpr (::std::same_as) + { + return ::fast_io::intrinsics::details::umul_least128_generic_emulated(a.low, a.high, b.low, b.high, high); + } + else + { + return ::fast_io::intrinsics::details::umul_a0_least128_generic_emulated(a, b.low, b.high, high); + } + } + else if constexpr (sizeof(T) == sizeof(::std::uint_least64_t)) { #ifdef __SIZEOF_INT128__ #if defined(__cpp_lib_is_constant_evaluated) || defined(__cpp_if_consteval) @@ -296,7 +456,18 @@ template <::fast_io::intrinsics::details::umul_unsigned_integral U, ::fast_io::i requires(sizeof(U) <= sizeof(T)) inline constexpr T umull(U a, T b) noexcept { - if constexpr (sizeof(T) <= sizeof(::std::uint_least64_t)) + if constexpr (::std::same_as) + { + if constexpr (::std::same_as) + { + return ::fast_io::intrinsics::details::umull_least128_generic_emulated(a.low, a.high, b.low, b.high); + } + else + { + return ::fast_io::intrinsics::details::umull_a0_least128_generic_emulated(a, b.low, b.high); + } + } + else if constexpr (sizeof(T) <= sizeof(::std::uint_least64_t)) { return static_cast(a * b); } @@ -306,7 +477,18 @@ template <::fast_io::intrinsics::details::umul_unsigned_integral U, ::fast_io::i requires(sizeof(U) <= sizeof(T)) inline constexpr U umulh(U a, T b) noexcept { - if constexpr (sizeof(T) == sizeof(::std::uint_least64_t)) + if constexpr (::std::same_as) + { + if constexpr (::std::same_as) + { + return ::fast_io::intrinsics::details::umulh_least128_generic_emulated(a.low, a.high, b.low, b.high); + } + else + { + return ::fast_io::intrinsics::details::umulh_a0_least128_generic_emulated(a, b.low, b.high); + } + } + else if constexpr (sizeof(T) == sizeof(::std::uint_least64_t)) { #ifdef __SIZEOF_INT128__ #if defined(__cpp_lib_is_constant_evaluated) || defined(__cpp_if_consteval) From 3075bf14016745be232800cd901d9c0425c527da Mon Sep 17 00:00:00 2001 From: trcrsired Date: Fri, 23 Aug 2024 22:10:54 -0400 Subject: [PATCH 14/26] umul fix unused variable --- include/fast_io_core_impl/intrinsics/umul.h | 2 -- 1 file changed, 2 deletions(-) diff --git a/include/fast_io_core_impl/intrinsics/umul.h b/include/fast_io_core_impl/intrinsics/umul.h index 9ee8f0427..db254280b 100644 --- a/include/fast_io_core_impl/intrinsics/umul.h +++ b/include/fast_io_core_impl/intrinsics/umul.h @@ -302,9 +302,7 @@ inline constexpr ::fast_io::intrinsics::ul64x2 umull_least128_generic_emulated(: { ::std::uint_least64_t c1; ::std::uint_least64_t c0{::fast_io::intrinsics::umul(a0, b0, c1)}; - ::std::uint_least64_t a0b1h; ::std::uint_least64_t a0b1l{a0 * b1}; - ::std::uint_least64_t a1b0h; ::std::uint_least64_t a1b0l{a1 * b0}; c1 += a0b1l; c1 += a1b0l; From 73980d5c19783555470de54d3da19f378024409b Mon Sep 17 00:00:00 2001 From: trcrsired Date: Fri, 23 Aug 2024 22:18:50 -0400 Subject: [PATCH 15/26] add pack_ul64 to pack ul64x2 easily --- include/fast_io_core_impl/intrinsics/umul.h | 12 ++++++++++++ 1 file changed, 12 insertions(+) diff --git a/include/fast_io_core_impl/intrinsics/umul.h b/include/fast_io_core_impl/intrinsics/umul.h index db254280b..ba6dacc04 100644 --- a/include/fast_io_core_impl/intrinsics/umul.h +++ b/include/fast_io_core_impl/intrinsics/umul.h @@ -63,6 +63,18 @@ inline constexpr T pack_generic(U low, U high) noexcept } } +inline constexpr ::fast_io::intrinsics::ul64x2 pack_ul64(::std::uint_least64_t low, ::std::uint_least64_t high) noexcept +{ + if constexpr (::std::endian::native == ::std::endian::big) + { + return {high,low}; + } + else + { + return {low,high}; + } +} + namespace details { template From dcda28cf874578659e5159a2f0175ac39fa75835 Mon Sep 17 00:00:00 2001 From: trcrsired Date: Fri, 23 Aug 2024 22:26:50 -0400 Subject: [PATCH 16/26] use umulh directly in dragonbox. --- include/fast_io_unit/floating/roundtrip.h | 22 ++-------------------- 1 file changed, 2 insertions(+), 20 deletions(-) diff --git a/include/fast_io_unit/floating/roundtrip.h b/include/fast_io_unit/floating/roundtrip.h index 1458dee7e..de76c74e8 100644 --- a/include/fast_io_unit/floating/roundtrip.h +++ b/include/fast_io_unit/floating/roundtrip.h @@ -91,24 +91,6 @@ inline constexpr ::std::int_least32_t mul_ln10_div_ln2_floor(::std::int_least32_ return (e * 1741647) >> 19; } -inline constexpr ::std::uint_least64_t mulshift_float64(::std::uint_least64_t x, ::std::uint_least64_t ylow, - ::std::uint_least64_t yhigh) noexcept -{ - ::std::uint_least64_t p0high{::fast_io::intrinsics::umulh(x, ylow)}; - ::std::uint_least64_t p1high; - ::std::uint_least64_t p1low{::fast_io::intrinsics::umul(x, yhigh, p1high)}; - constexpr ::std::uint_least64_t zero{}; - bool carry{}; - ::fast_io::intrinsics::addc(p1low, p0high, carry, carry); - p1high = ::fast_io::intrinsics::addc(p1high, zero, carry, carry); - return p1high; -} - -inline constexpr ::std::uint_least32_t mulshift_float32(::std::uint_least32_t x, ::std::uint_least64_t y) noexcept -{ - return ::fast_io::intrinsics::umulh(x, y); -} - inline constexpr bool mul_parity_float64(::std::uint_least64_t two_f, ::std::uint_least64_t pow10_low, ::std::uint_least64_t pow10_high, ::std::int_least32_t beta_minus_1) noexcept { @@ -343,7 +325,7 @@ dragonbox_main(typename iec559_traits::mantissa_type m2, ::std::int_least32 ::std::uint_least64_t const pow10_hi{pow10.hi}; ::std::uint_least32_t const delta{static_cast<::std::uint_least32_t>(pow10_hi >> (63 - beta_minus_1))}; ::std::uint_least64_t const two_fc{m2 << 1}, two_fl{two_fc - 1}, two_fr{two_fc + 1}; - ::std::uint_least64_t const zi{mulshift_float64(two_fr << beta_minus_1, pow10_lo, pow10_hi)}; + ::std::uint_least64_t const zi{::fast_io::intrinsics::umulh(two_fr << beta_minus_1, ::fast_io::intrinsics::pack_ul64(pow10_lo, pow10_hi))}; ::std::uint_least64_t q; ::std::uint_least32_t r; q = zi / big_divisor; @@ -386,7 +368,7 @@ dragonbox_main(typename iec559_traits::mantissa_type m2, ::std::int_least32 { ::std::uint_least64_t const pow10{compute_pow10_float32[plus_k]}; ::std::uint_least32_t const two_fc{m2 << 1}, two_fl{two_fc - 1}, two_fr{two_fc + 1}; - ::std::uint_least32_t const zi{mulshift_float32(two_fr << beta_minus_1, pow10)}; + ::std::uint_least32_t const zi{::fast_io::intrinsics::umulh(two_fr << beta_minus_1, pow10)}; ::std::uint_least32_t q{zi / big_divisor}; ::std::uint_least32_t r{zi % big_divisor}; ::std::uint_least32_t const delta{static_cast<::std::uint_least32_t>(pow10 >> (63 - beta_minus_1))}; From a233a03dbd41c1cf301bc324fc0cffedd240dfb9 Mon Sep 17 00:00:00 2001 From: trcrsired Date: Fri, 23 Aug 2024 22:37:07 -0400 Subject: [PATCH 17/26] fix umul for random types --- include/fast_io_core_impl/intrinsics/umul.h | 12 ++++++------ 1 file changed, 6 insertions(+), 6 deletions(-) diff --git a/include/fast_io_core_impl/intrinsics/umul.h b/include/fast_io_core_impl/intrinsics/umul.h index ba6dacc04..15374c113 100644 --- a/include/fast_io_core_impl/intrinsics/umul.h +++ b/include/fast_io_core_impl/intrinsics/umul.h @@ -23,7 +23,7 @@ using ul32x2 = ::fast_io::intrinsics::ul_generic_x2<::std::uint_least32_t>; using ul64x2 = ::fast_io::intrinsics::ul_generic_x2<::std::uint_least64_t>; template - requires(sizeof(T) == sizeof(U) * 2) + requires(sizeof(U) * 2 <= sizeof(T)) inline constexpr U unpack_generic(T a, U &high) noexcept { if constexpr (::std::endian::native == ::std::endian::little) @@ -46,7 +46,7 @@ inline constexpr U unpack_generic(T a, U &high) noexcept } template - requires(sizeof(T) == sizeof(U) * 2) + requires(sizeof(U) * 2 <= sizeof(T)) inline constexpr T pack_generic(U low, U high) noexcept { if constexpr (::std::endian::native == ::std::endian::little) @@ -67,11 +67,11 @@ inline constexpr ::fast_io::intrinsics::ul64x2 pack_ul64(::std::uint_least64_t l { if constexpr (::std::endian::native == ::std::endian::big) { - return {high,low}; + return {high, low}; } else { - return {low,high}; + return {low, high}; } } @@ -97,7 +97,7 @@ namespace details { template - requires(sizeof(T) == sizeof(U) * 2) + requires(sizeof(U) * 2 <= sizeof(T)) inline constexpr U umul_least_generic(U a, U b, U &high) noexcept { #if defined(__has_builtin) && defined(__GNUC__) && !defined(__clang__) @@ -171,7 +171,7 @@ inline constexpr T umul_least64_generic_emulated(U a, T b, U &high) noexcept } template - requires(sizeof(T) == sizeof(U) * 2) + requires(sizeof(U) * 2 <= sizeof(T)) inline constexpr U umulh_least_generic(U a, U b) noexcept { #if defined(__has_builtin) && defined(__GNUC__) && !defined(__clang__) From fc591929c0ecd55bddbaa3967051f2f2cd3daa9d Mon Sep 17 00:00:00 2001 From: trcrsired Date: Sat, 24 Aug 2024 02:08:58 -0400 Subject: [PATCH 18/26] add rtz bit ops --- include/fast_io_core.h | 1 + include/fast_io_core_impl/bitops/impl.h | 3 + include/fast_io_core_impl/bitops/rtz.h | 145 ++++++++++++++++++++++++ 3 files changed, 149 insertions(+) create mode 100644 include/fast_io_core_impl/bitops/impl.h create mode 100644 include/fast_io_core_impl/bitops/rtz.h diff --git a/include/fast_io_core.h b/include/fast_io_core.h index d6dea27c9..cfd0c01ce 100644 --- a/include/fast_io_core.h +++ b/include/fast_io_core.h @@ -43,6 +43,7 @@ #if defined(_MSC_VER) && !defined(__clang__) #include "fast_io_core_impl/intrinsics/msvc/impl.h" #endif +#include "fast_io_core_impl/bitops/impl.h" #include "fast_io_core_impl/freestanding/impl.h" #include "fast_io_core_impl/terminate.h" #include "fast_io_dsal/impl/freestanding.h" diff --git a/include/fast_io_core_impl/bitops/impl.h b/include/fast_io_core_impl/bitops/impl.h new file mode 100644 index 000000000..68737afb9 --- /dev/null +++ b/include/fast_io_core_impl/bitops/impl.h @@ -0,0 +1,3 @@ +#pragma once + +#include "rtz.h" diff --git a/include/fast_io_core_impl/bitops/rtz.h b/include/fast_io_core_impl/bitops/rtz.h new file mode 100644 index 000000000..12c817a4f --- /dev/null +++ b/include/fast_io_core_impl/bitops/rtz.h @@ -0,0 +1,145 @@ +#pragma once +/* +Reference from +https://github.com/jk-jeon/rtz_benchmark +granlund_montgomery_branchless +*/ +namespace fast_io::bitops +{ + +template +struct rtz_result +{ + using value_type = T; + T value; + std::size_t n; +}; + +template <::std::unsigned_integral T> +inline constexpr ::fast_io::bitops::rtz_result rtz(T n) noexcept +{ + if constexpr (::std::numeric_limits::digits == 64) + { + if constexpr (!::std::same_as) + { +#ifdef __cpp_lib_bit_cast + return __builtin_bit_cast(::fast_io::bitops::rtz_result, + ::fast_io::bitops::rtz(static_cast<::std::uint_least64_t>(n))); +#else + auto [v, s] = ::fast_io::bitops::rtz(static_cast<::std::uint_least64_t>(n)); + return {v, s}; +#endif + } + else + { + std::size_t s{}; + + constexpr ::std::uint_least64_t c0{28999941890838049u}; + ::std::uint_least64_t r{::std::rotr(static_cast(n * c0), 4)}; + constexpr ::std::uint_least64_t d0{184467440738u}; + bool b{r < d0}; + s += s; + s += b; + n = b ? r : n; + + constexpr ::std::uint_least64_t c1{182622766329724561u}; + r = ::std::rotr(static_cast(n * c1), 2); + constexpr ::std::uint_least64_t d1{1844674407370956u}; + b = r < d1; + s += s; + s += b; + n = b ? r : n; + + constexpr ::std::uint_least64_t c2{10330176681277348905u}; + r = ::std::rotr(static_cast(n * c2), 1); + constexpr ::std::uint_least64_t d2{184467440737095517u}; + b = r < d2; + s += s; + s += b; + n = b ? r : n; + + constexpr ::std::uint_least64_t c3{14757395258967641293u}; + r = ::std::rotr(static_cast(n * c3), 1); + constexpr ::std::uint_least64_t d3{1844674407370955162u}; + b = r < d3; + s += s; + s += b; + n = b ? r : n; + + return {n, s}; + } + } + else if constexpr (::std::numeric_limits::digits == 32) + { + if constexpr (!::std::same_as) + { +#ifdef __cpp_lib_bit_cast + return __builtin_bit_cast(::fast_io::bitops::rtz_result, + ::fast_io::bitops::rtz(static_cast<::std::uint_least32_t>(n))); +#else + auto [v, s] = ::fast_io::bitops::rtz(static_cast<::std::uint_least32_t>(n)); + return {v, s}; +#endif + } + else + { + std::size_t s{}; + + constexpr ::std::uint_least32_t c0{184254097u}; + ::std::uint_least32_t r{::std::rotr(static_cast(n * c0), 4)}; + constexpr ::std::uint_least32_t d0{429497u}; + bool b{r < d0}; + s += s; + s += b; + n = b ? r : n; + + constexpr ::std::uint_least32_t d1{42949673u}; + r = ::std::rotr(static_cast(n * d1), 2); + b = r < d1; + s += s; + s += b; + n = b ? r : n; + + constexpr ::std::uint_least32_t c2{1288490189u}; + r = ::std::rotr(static_cast(n * c2), 1); + constexpr ::std::uint_least32_t d2{429496730u}; + b = r < d2; + s += s; + s += b; + n = b ? r : n; + + return {n, s}; + } + } + else if constexpr (::std::numeric_limits::digits == 16 || ::std::numeric_limits::digits == 8) + { + auto [v, s] = ::fast_io::bitops::rtz(static_cast<::std::uint_least32_t>(n)); + return {static_cast(v), s}; + } + else + { + ::std::size_t s{}; + while (true) + { + auto const r{n % 100}; + if (r == 0) + { + n /= 100; + s += 2; + } + else + { + break; + } + } + auto const r{n % 10}; + if (r == 0) + { + n /= 10; + ++s; + } + return {n, s}; + } +} + +} // namespace fast_io::bitops \ No newline at end of file From b52e9b49ecaf94602c9a63f627c4e7425f58700e Mon Sep 17 00:00:00 2001 From: trcrsired Date: Sat, 24 Aug 2024 04:57:00 -0400 Subject: [PATCH 19/26] rtz --- include/fast_io_core_impl/bitops/rtz.h | 81 ++++++++++++++++++++++---- 1 file changed, 70 insertions(+), 11 deletions(-) diff --git a/include/fast_io_core_impl/bitops/rtz.h b/include/fast_io_core_impl/bitops/rtz.h index 12c817a4f..b27704812 100644 --- a/include/fast_io_core_impl/bitops/rtz.h +++ b/include/fast_io_core_impl/bitops/rtz.h @@ -1,7 +1,7 @@ #pragma once /* Reference from -https://github.com/jk-jeon/rtz_benchmark +https://github.com/cppalliance/decimal/blob/develop/include/boost/decimal/detail/remove_trailing_zeros.hpp granlund_montgomery_branchless */ namespace fast_io::bitops @@ -15,8 +15,11 @@ struct rtz_result std::size_t n; }; -template <::std::unsigned_integral T> -inline constexpr ::fast_io::bitops::rtz_result rtz(T n) noexcept +namespace details +{ + +template +inline constexpr ::fast_io::bitops::rtz_result rtz_impl(T n) noexcept { if constexpr (::std::numeric_limits::digits == 64) { @@ -24,9 +27,9 @@ inline constexpr ::fast_io::bitops::rtz_result rtz(T n) noexcept { #ifdef __cpp_lib_bit_cast return __builtin_bit_cast(::fast_io::bitops::rtz_result, - ::fast_io::bitops::rtz(static_cast<::std::uint_least64_t>(n))); + ::fast_io::bitops::details::rtz_impl(static_cast<::std::uint_least64_t>(n))); #else - auto [v, s] = ::fast_io::bitops::rtz(static_cast<::std::uint_least64_t>(n)); + auto [v, s] = ::fast_io::bitops::details::rtz_impl(static_cast<::std::uint_least64_t>(n)); return {v, s}; #endif } @@ -34,8 +37,19 @@ inline constexpr ::fast_io::bitops::rtz_result rtz(T n) noexcept { std::size_t s{}; + if constexpr(!iec559) + { + constexpr ::std::uint_least64_t c0{230079197716545u}; + ::std::uint_least64_t r{::std::rotr(static_cast(n * c0), 16)}; + constexpr ::std::uint_least64_t d0{1845u}; + bool b{r < d0}; + s += s; + s += b; + n = b ? r : n; + } + constexpr ::std::uint_least64_t c0{28999941890838049u}; - ::std::uint_least64_t r{::std::rotr(static_cast(n * c0), 4)}; + ::std::uint_least64_t r{::std::rotr(static_cast(n * c0), 8)}; constexpr ::std::uint_least64_t d0{184467440738u}; bool b{r < d0}; s += s; @@ -43,7 +57,7 @@ inline constexpr ::fast_io::bitops::rtz_result rtz(T n) noexcept n = b ? r : n; constexpr ::std::uint_least64_t c1{182622766329724561u}; - r = ::std::rotr(static_cast(n * c1), 2); + r = ::std::rotr(static_cast(n * c1), 4); constexpr ::std::uint_least64_t d1{1844674407370956u}; b = r < d1; s += s; @@ -51,7 +65,7 @@ inline constexpr ::fast_io::bitops::rtz_result rtz(T n) noexcept n = b ? r : n; constexpr ::std::uint_least64_t c2{10330176681277348905u}; - r = ::std::rotr(static_cast(n * c2), 1); + r = ::std::rotr(static_cast(n * c2), 2); constexpr ::std::uint_least64_t d2{184467440737095517u}; b = r < d2; s += s; @@ -75,9 +89,9 @@ inline constexpr ::fast_io::bitops::rtz_result rtz(T n) noexcept { #ifdef __cpp_lib_bit_cast return __builtin_bit_cast(::fast_io::bitops::rtz_result, - ::fast_io::bitops::rtz(static_cast<::std::uint_least32_t>(n))); + ::fast_io::bitops::details::rtz_impl(static_cast<::std::uint_least32_t>(n))); #else - auto [v, s] = ::fast_io::bitops::rtz(static_cast<::std::uint_least32_t>(n)); + auto [v, s] = ::fast_io::bitops::details::rtz_impl(static_cast<::std::uint_least32_t>(n)); return {v, s}; #endif } @@ -85,6 +99,17 @@ inline constexpr ::fast_io::bitops::rtz_result rtz(T n) noexcept { std::size_t s{}; + if constexpr(!iec559) + { + constexpr ::std::uint_least64_t c0{15273505u}; + ::std::uint_least64_t r{::std::rotr(static_cast(n * c0), 8)}; + constexpr ::std::uint_least64_t d0{43u}; + bool b{r < d0}; + s += s; + s += b; + n = b ? r : n; + } + constexpr ::std::uint_least32_t c0{184254097u}; ::std::uint_least32_t r{::std::rotr(static_cast(n * c0), 4)}; constexpr ::std::uint_least32_t d0{429497u}; @@ -111,9 +136,28 @@ inline constexpr ::fast_io::bitops::rtz_result rtz(T n) noexcept return {n, s}; } } +#if 0 + else if constexpr (::std::numeric_limits::digits == 16) + { + if constexpr (!::std::same_as) + { +#ifdef __cpp_lib_bit_cast + return __builtin_bit_cast(::fast_io::bitops::rtz_result, + ::fast_io::bitops::details::rtz_impl(static_cast<::std::uint_least32_t>(n))); +#else + auto [v, s] = ::fast_io::bitops::details::rtz_impl(static_cast<::std::uint_least32_t>(n)); + return {v, s}; +#endif + } + else + { + + } + } +#endif else if constexpr (::std::numeric_limits::digits == 16 || ::std::numeric_limits::digits == 8) { - auto [v, s] = ::fast_io::bitops::rtz(static_cast<::std::uint_least32_t>(n)); + auto [v, s] = ::fast_io::bitops::details::rtz_impl(static_cast<::std::uint_least32_t>(n)); return {static_cast(v), s}; } else @@ -142,4 +186,19 @@ inline constexpr ::fast_io::bitops::rtz_result rtz(T n) noexcept } } + +} + +template +inline constexpr ::fast_io::bitops::rtz_result rtz_iec559(T n) noexcept +{ + return ::fast_io::bitops::details::rtz_impl(n); +} + +template +inline constexpr ::fast_io::bitops::rtz_result rtz(T n) noexcept +{ + return ::fast_io::bitops::details::rtz_impl(n); +} + } // namespace fast_io::bitops \ No newline at end of file From a18fbed71812fd972e234c8132189186fca3f9cf Mon Sep 17 00:00:00 2001 From: trcrsired Date: Sat, 24 Aug 2024 05:38:56 -0400 Subject: [PATCH 20/26] fix rtz --- include/fast_io_core_impl/bitops/rtz.h | 4 ++-- 1 file changed, 2 insertions(+), 2 deletions(-) diff --git a/include/fast_io_core_impl/bitops/rtz.h b/include/fast_io_core_impl/bitops/rtz.h index b27704812..37989b984 100644 --- a/include/fast_io_core_impl/bitops/rtz.h +++ b/include/fast_io_core_impl/bitops/rtz.h @@ -40,7 +40,7 @@ inline constexpr ::fast_io::bitops::rtz_result rtz_impl(T n) noexcept if constexpr(!iec559) { constexpr ::std::uint_least64_t c0{230079197716545u}; - ::std::uint_least64_t r{::std::rotr(static_cast(n * c0), 16)}; + ::std::uint_least64_t r{::std::rotr(static_cast(n * c0), 16)}; constexpr ::std::uint_least64_t d0{1845u}; bool b{r < d0}; s += s; @@ -49,7 +49,7 @@ inline constexpr ::fast_io::bitops::rtz_result rtz_impl(T n) noexcept } constexpr ::std::uint_least64_t c0{28999941890838049u}; - ::std::uint_least64_t r{::std::rotr(static_cast(n * c0), 8)}; + ::std::uint_least64_t r{::std::rotr(static_cast(n * c0), 8)}; constexpr ::std::uint_least64_t d0{184467440738u}; bool b{r < d0}; s += s; From e4c9d5afb58621561976d6facd15868b2a57cc98 Mon Sep 17 00:00:00 2001 From: trcrsired Date: Sat, 24 Aug 2024 05:49:40 -0400 Subject: [PATCH 21/26] improve dragonbox performance by using fast trailing zeros --- benchmark/0004.file_io_floating/charconv_general.cc | 2 +- benchmark/0004.file_io_floating/charconv_general_float.cc | 2 +- benchmark/0004.file_io_floating/charconv_hexfloat.cc | 2 +- benchmark/0004.file_io_floating/charconv_hexfloat_float.cc | 2 +- include/fast_io_unit/floating/roundtrip.h | 7 +++++++ 5 files changed, 11 insertions(+), 4 deletions(-) diff --git a/benchmark/0004.file_io_floating/charconv_general.cc b/benchmark/0004.file_io_floating/charconv_general.cc index 76b366056..63383f494 100644 --- a/benchmark/0004.file_io_floating/charconv_general.cc +++ b/benchmark/0004.file_io_floating/charconv_general.cc @@ -26,7 +26,7 @@ int main() auto [res, ec] = std::to_chars(buffer, start + 40, e, std::chars_format::general); *res = '\n'; ++res; - write(file, start, res); + ::fast_io::operations::write_all(file, start, res); } } } diff --git a/benchmark/0004.file_io_floating/charconv_general_float.cc b/benchmark/0004.file_io_floating/charconv_general_float.cc index 86afb183a..0d250253c 100644 --- a/benchmark/0004.file_io_floating/charconv_general_float.cc +++ b/benchmark/0004.file_io_floating/charconv_general_float.cc @@ -26,7 +26,7 @@ int main() auto [res, ec] = std::to_chars(buffer, start + 40, e, std::chars_format::general); *res = '\n'; ++res; - write(file, start, res); + ::fast_io::operations::write_all(file, start, res); } } } diff --git a/benchmark/0004.file_io_floating/charconv_hexfloat.cc b/benchmark/0004.file_io_floating/charconv_hexfloat.cc index b67779654..70cf20ca4 100644 --- a/benchmark/0004.file_io_floating/charconv_hexfloat.cc +++ b/benchmark/0004.file_io_floating/charconv_hexfloat.cc @@ -26,7 +26,7 @@ int main() auto [res, ec] = std::to_chars(buffer, start + 40, e, std::chars_format::hex); *res = '\n'; ++res; - write(file, start, res); + ::fast_io::operations::write_all(file, start, res); } } } diff --git a/benchmark/0004.file_io_floating/charconv_hexfloat_float.cc b/benchmark/0004.file_io_floating/charconv_hexfloat_float.cc index b3e6c3ee2..7722200bb 100644 --- a/benchmark/0004.file_io_floating/charconv_hexfloat_float.cc +++ b/benchmark/0004.file_io_floating/charconv_hexfloat_float.cc @@ -26,7 +26,7 @@ int main() auto [res, ec] = std::to_chars(buffer, start + 40, e, std::chars_format::hex); *res = '\n'; ++res; - write(file, start, res); + ::fast_io::operations::write_all(file, start, res); } } } \ No newline at end of file diff --git a/include/fast_io_unit/floating/roundtrip.h b/include/fast_io_unit/floating/roundtrip.h index de76c74e8..73cffea61 100644 --- a/include/fast_io_unit/floating/roundtrip.h +++ b/include/fast_io_unit/floating/roundtrip.h @@ -420,6 +420,12 @@ dragonbox_impl(typename iec559_traits::mantissa_type m2, ::std::int_least32 using mantissa_type = typename iec559_traits::mantissa_type; auto [m10, e10] = dragonbox_main(m2, e2); // m10 should not ==0 + auto [v, n] = ::fast_io::bitops::rtz_iec559(m10); + + e10+=static_cast<::std::int_least32_t>(static_cast<::std::uint_least32_t>(n)); + + return {v, e10}; +#if 0 if constexpr (sizeof(::std::size_t) >= sizeof(::std::uint_least64_t) || sizeof(mantissa_type) < sizeof(::std::uint_least64_t)) { @@ -495,6 +501,7 @@ dragonbox_impl(typename iec559_traits::mantissa_type m2, ::std::int_least32 } return {static_cast(m10ul32), e10}; } +#endif } template From e53b4a8dc6d6f1618513f3049d057179a8bb043a Mon Sep 17 00:00:00 2001 From: trcrsired Date: Sat, 24 Aug 2024 05:59:34 -0400 Subject: [PATCH 22/26] optimize trailing zeros --- include/fast_io_core_impl/iso/isos.h | 9 +++------ 1 file changed, 3 insertions(+), 6 deletions(-) diff --git a/include/fast_io_core_impl/iso/isos.h b/include/fast_io_core_impl/iso/isos.h index 4988b91e5..5faef0b19 100644 --- a/include/fast_io_core_impl/iso/isos.h +++ b/include/fast_io_core_impl/iso/isos.h @@ -10,12 +10,9 @@ template <::std::integral char_type> inline constexpr char_type *output_iso8601_subseconds_main(char_type *iter, ::std::uint_least64_t subseconds) noexcept { constexpr ::std::size_t digitsm1(::std::numeric_limits<::std::uint_least64_t>::digits10); - ::std::size_t sz(digitsm1); - for (; subseconds % 10 == 0; --sz) - { - subseconds /= 10; - } - print_reserve_integral_main_impl<10, false>(iter += sz, subseconds, sz); + auto [v,n] = ::fast_io::bitops::rtz(subseconds); + ::std::size_t sz{static_cast<::std::size_t>(digitsm1-n)}; + print_reserve_integral_main_impl<10, false>(iter += sz, v, sz); return iter; } From b5bd2bba01cf4943b6c860fcdb85130b3cb3d0f5 Mon Sep 17 00:00:00 2001 From: trcrsired Date: Sat, 24 Aug 2024 06:02:07 -0400 Subject: [PATCH 23/26] fix warnings by removing old code --- include/fast_io_unit/floating/roundtrip.h | 80 ----------------------- 1 file changed, 80 deletions(-) diff --git a/include/fast_io_unit/floating/roundtrip.h b/include/fast_io_unit/floating/roundtrip.h index 73cffea61..387bb8ebf 100644 --- a/include/fast_io_unit/floating/roundtrip.h +++ b/include/fast_io_unit/floating/roundtrip.h @@ -417,91 +417,11 @@ template inline constexpr m10_result::mantissa_type> dragonbox_impl(typename iec559_traits::mantissa_type m2, ::std::int_least32_t e2) noexcept { - using mantissa_type = typename iec559_traits::mantissa_type; auto [m10, e10] = dragonbox_main(m2, e2); // m10 should not ==0 auto [v, n] = ::fast_io::bitops::rtz_iec559(m10); - e10+=static_cast<::std::int_least32_t>(static_cast<::std::uint_least32_t>(n)); - return {v, e10}; -#if 0 - if constexpr (sizeof(::std::size_t) >= sizeof(::std::uint_least64_t) || - sizeof(mantissa_type) < sizeof(::std::uint_least64_t)) - { - if constexpr (sizeof(::std::uint_least64_t) <= sizeof(mantissa_type)) - { - auto tmp_div100000000(m10 / 100000000u); - auto tmp_mod100000000(m10 % 100000000u); - if (tmp_mod100000000 == 0u) [[unlikely]] - { - m10 = tmp_div100000000; - e10 += 8; - } - } - for (;;) - { - auto tmp_div100(m10 / 100u); - auto tmp_mod100(m10 % 100u); - if (tmp_mod100) - { - break; - } - m10 = tmp_div100; - e10 += 2; - } - auto tmp_div10{m10 / 10u}; - auto tmp_mod10{m10 % 10u}; - if (!tmp_mod10) - { - m10 = tmp_div10; - ++e10; - } - return {m10, e10}; - } - else - { - auto tmp_div100000000(m10 / 100000000u); - auto tmp_mod100000000(m10 % 100000000u); - if (tmp_mod100000000 == 0u) [[unlikely]] - { - m10 = tmp_div100000000; - e10 += 8; - } - // 4294967296 - while (m10 >= 1000000000u) - { - auto tmp_div100(m10 / 100u); - auto tmp_mod100(m10 % 100u); - if (tmp_mod100) - { - auto tmp_div10{m10 / 10u}; - auto tmp_mod10{m10 % 10u}; - if (!tmp_mod10) - { - m10 = tmp_div10; - ++e10; - } - return {m10, e10}; - } - m10 = tmp_div100; - e10 += 2; - } - ::std::uint_least32_t m10ul32{static_cast<::std::uint_least32_t>(m10)}; - for (;;) - { - auto tmp_div100{m10ul32 / 100u}; - auto tmp_mod100{m10ul32 % 100u}; - if (tmp_mod100) - { - break; - } - m10ul32 = tmp_div100; - e10 += 2; - } - return {static_cast(m10ul32), e10}; - } -#endif } template From f931c5da6e51a2ea8cd65afaa06fc86e022f492f Mon Sep 17 00:00:00 2001 From: trcrsired Date: Sat, 24 Aug 2024 06:59:15 -0400 Subject: [PATCH 24/26] add ryu draft? --- .../fast_io_unit/floating/ryu/float64fixed.h | 165 +- .../floating/ryu/float64fixed_full_table.h | 1244 +++++++ .../floating/ryu/float64fixed_full_table2.h | 3163 +++++++++++++++++ .../floating/ryu/float64tos_full_table.h | 340 +- 4 files changed, 4566 insertions(+), 346 deletions(-) create mode 100644 include/fast_io_unit/floating/ryu/float64fixed_full_table.h create mode 100644 include/fast_io_unit/floating/ryu/float64fixed_full_table2.h diff --git a/include/fast_io_unit/floating/ryu/float64fixed.h b/include/fast_io_unit/floating/ryu/float64fixed.h index 24f219423..bf4f845e4 100644 --- a/include/fast_io_unit/floating/ryu/float64fixed.h +++ b/include/fast_io_unit/floating/ryu/float64fixed.h @@ -3,16 +3,16 @@ namespace fast_io::details { -template -inline constexpr char_type* prsv_fp_zero_precision_impl(char_type* iter, ::std::size_t precision) noexcept +template +inline constexpr char_type *prsv_fp_zero_precision_impl(char_type *iter, ::std::size_t precision) noexcept { - *iter=::fast_io::char_literal_v; + *iter = ::fast_io::char_literal_v; ++iter; if (!precision) { return iter; } - *iter=::fast_io::char_literal_v<(comma?u8',':u8'.'), char_type>; + *iter = ::fast_io::char_literal_v<(comma ? u8',' : u8'.'), char_type>; ++iter; return ::fast_io::details::prsv_fill_zero_impl(iter, precision); } @@ -20,8 +20,8 @@ inline constexpr char_type* prsv_fp_zero_precision_impl(char_type* iter, ::std:: namespace ryu { -template -inline constexpr char_type* float642fixed_buffered_n(char_type* iter, flt f, ::std::size_t precision) noexcept +template +inline constexpr char_type *float642fixed_buffered_n(char_type *iter, flt f, ::std::size_t precision) noexcept { using trait = ::fast_io::details::iec559_traits; using mantissa_type = typename trait::mantissa_type; @@ -40,7 +40,7 @@ inline constexpr char_type* float642fixed_buffered_n(char_type* iter, flt f, ::s } if (!mantissa && !exponent) { - return ::fast_io::details::prsv_fp_zero_precision_impl(iter,precision); + return ::fast_io::details::prsv_fp_zero_precision_impl(iter, precision); } ::std::int_least32_t e2; ::std::uint_least64_t m2; @@ -55,9 +55,156 @@ inline constexpr char_type* float642fixed_buffered_n(char_type* iter, flt f, ::s e2 -= exponent_bias; m2 |= mflags; } + +#if 0 + int index = 0; + bool nonzero = false; + if (ieeeSign) { + result[index++] = '-'; + } + if (e2 >= -52) { + const uint32_t idx = e2 < 0 ? 0 : indexForExponent((uint32_t) e2); + const uint32_t p10bits = pow10BitsForIndex(idx); + const int32_t len = (int32_t) lengthForIndex(idx); +#ifdef RYU_DEBUG + __builtin_printf("idx=%u\n", idx); + __builtin_printf("len=%d\n", len); +#endif + for (int32_t i = len - 1; i >= 0; --i) { + const uint32_t j = p10bits - e2; + // Temporary: j is usually around 128, and by shifting a bit, we push it to 128 or above, which is + // a slightly faster code path in mulShift_mod1e9. Instead, we can just increase the multipliers. + const uint32_t digits = mulShift_mod1e9(m2 << 8, POW10_SPLIT[POW10_OFFSET[idx] + i], (int32_t) (j + 8)); + if (nonzero) { + append_nine_digits(digits, result + index); + index += 9; + } else if (digits != 0) { + const uint32_t olength = decimalLength9(digits); + append_n_digits(olength, digits, result + index); + index += olength; + nonzero = true; + } + } + } + if (!nonzero) { + result[index++] = '0'; + } + if (precision > 0) { + result[index++] = '.'; + } +#ifdef RYU_DEBUG + __builtin_printf("e2=%d\n", e2); +#endif + if (e2 < 0) { + const int32_t idx = -e2 / 16; +#ifdef RYU_DEBUG + __builtin_printf("idx=%d\n", idx); +#endif + const uint32_t blocks = precision / 9 + 1; + // 0 = don't round up; 1 = round up unconditionally; 2 = round up if odd. + int roundUp = 0; + uint32_t i = 0; + if (blocks <= MIN_BLOCK_2[idx]) { + i = blocks; + memset(result + index, '0', precision); + index += precision; + } else if (i < MIN_BLOCK_2[idx]) { + i = MIN_BLOCK_2[idx]; + memset(result + index, '0', 9 * i); + index += 9 * i; + } + for (; i < blocks; ++i) { + const int32_t j = ADDITIONAL_BITS_2 + (-e2 - 16 * idx); + const uint32_t p = POW10_OFFSET_2[idx] + i - MIN_BLOCK_2[idx]; + if (p >= POW10_OFFSET_2[idx + 1]) { + // If the remaining digits are all 0, then we might as well use memset. + // No rounding required in this case. + const uint32_t fill = precision - 9 * i; + memset(result + index, '0', fill); + index += fill; + break; + } + // Temporary: j is usually around 128, and by shifting a bit, we push it to 128 or above, which is + // a slightly faster code path in mulShift_mod1e9. Instead, we can just increase the multipliers. + uint32_t digits = mulShift_mod1e9(m2 << 8, POW10_SPLIT_2[p], j + 8); +#ifdef RYU_DEBUG + __builtin_printf("digits=%u\n", digits); +#endif + if (i < blocks - 1) { + append_nine_digits(digits, result + index); + index += 9; + } else { + const uint32_t maximum = precision - 9 * i; + uint32_t lastDigit = 0; + for (uint32_t k = 0; k < 9 - maximum; ++k) { + lastDigit = digits % 10; + digits /= 10; + } +#ifdef RYU_DEBUG + __builtin_printf("lastDigit=%u\n", lastDigit); +#endif + if (lastDigit != 5) { + roundUp = lastDigit > 5; + } else { + // Is m * 10^(additionalDigits + 1) / 2^(-e2) integer? + const int32_t requiredTwos = -e2 - (int32_t) precision - 1; + const bool trailingZeros = requiredTwos <= 0 + || (requiredTwos < 60 && multipleOfPowerOf2(m2, (uint32_t) requiredTwos)); + roundUp = trailingZeros ? 2 : 1; +#ifdef RYU_DEBUG + __builtin_printf("requiredTwos=%d\n", requiredTwos); + __builtin_printf("trailingZeros=%s\n", trailingZeros ? "true" : "false"); +#endif + } + if (maximum > 0) { + append_c_digits(maximum, digits, result + index); + index += maximum; + } + break; + } + } +#ifdef RYU_DEBUG + __builtin_printf("roundUp=%d\n", roundUp); +#endif + if (roundUp != 0) { + int roundIndex = index; + int dotIndex = 0; // '.' can't be located at index 0 + while (true) { + --roundIndex; + char c; + if (roundIndex == -1 || (c = result[roundIndex], c == '-')) { + result[roundIndex + 1] = '1'; + if (dotIndex > 0) { + result[dotIndex] = '0'; + result[dotIndex + 1] = '.'; + } + result[index++] = '0'; + break; + } + if (c == '.') { + dotIndex = roundIndex; + continue; + } else if (c == '9') { + result[roundIndex] = '0'; + roundUp = 1; + continue; + } else { + if (roundUp == 2 && c % 2 == 0) { + break; + } + result[roundIndex] = c + 1; + break; + } + } + } + } else { + memset(result + index, '0', precision); + index += precision; + } +#endif return iter; } -} +} // namespace ryu -} +} // namespace fast_io::details diff --git a/include/fast_io_unit/floating/ryu/float64fixed_full_table.h b/include/fast_io_unit/floating/ryu/float64fixed_full_table.h new file mode 100644 index 000000000..b86c7ac36 --- /dev/null +++ b/include/fast_io_unit/floating/ryu/float64fixed_full_table.h @@ -0,0 +1,1244 @@ +#pragma once + +namespace fast_io::details::ryu +{ + +inline constexpr table_size{64}; + +inline constexpr ::std::uint_least16_t power_offset[table_size] = { + 0, 2, 5, 8, 12, 16, 21, 26, 32, 39, + 46, 54, 62, 71, 80, 90, 100, 111, 122, 134, + 146, 159, 173, 187, 202, 217, 233, 249, 266, 283, + 301, 319, 338, 357, 377, 397, 418, 440, 462, 485, + 508, 532, 556, 581, 606, 632, 658, 685, 712, 740, + 769, 798, 828, 858, 889, 920, 952, 984, 1017, 1050, + 1084, 1118, 1153, 1188}; + +inline constexpr ::std::uint_last64_t pow10_split[1224][3] = { + {1u, 72057594037927936u, 0u}, + {699646928636035157u, 72057594u, 0u}, + {1u, 0u, 256u}, + {11902091922964236229u, 4722366482869u, 0u}, + {6760415703743915872u, 4722u, 0u}, + {1u, 0u, 16777216u}, + {13369850649504950658u, 309485009821345068u, 0u}, + {15151142278969419334u, 309485009u, 0u}, + {1u, 0u, 75511627776u}, + {4635408826454083567u, 9437866644873197963u, 1099u}, + {12367138975830625353u, 20282409603651u, 0u}, + {7555853734021184432u, 20282u, 0u}, + {1u, 0u, 250037927936u}, + {5171444645924616995u, 699646928636035156u, 72057594u}, + {16672297533003297786u, 1329227995784915872u, 0u}, + {14479142226848862515u, 1329227995u, 0u}, + {1u, 0u, 181645213696u}, + {12214193123817091081u, 11902091922964236228u, 114366482869u}, + {16592893013671929435u, 6760415703743915871u, 4722u}, + {4549827147718617003u, 87112285931760u, 0u}, + {5274510003815168971u, 87112u, 0u}, + {1u, 0u, 44724781056u}, + {9794971998307800535u, 13369850649504950657u, 209821345068u}, + {14720142899209240169u, 15151142278969419333u, 309485009u}, + {4300745446091561535u, 5708990770823839524u, 0u}, + {15197156861335443364u, 5708990770u, 0u}, + {1u, 0u, 139251286016u}, + {13484604155038683037u, 4635408826454083566u, 67670423947u}, + {8356963862052375699u, 12367138975830625352u, 58409603651u}, + {5850852848337610021u, 7555853734021184431u, 20282u}, + {2712780827214982050u, 374144419156711u, 0u}, + {7732076577307618052u, 374144u, 0u}, + {1u, 0u, 84280344576u}, + {17296309485351745867u, 5171444645924616994u, 160903807060u}, + {16598859101615853088u, 16672297533003297785u, 219784915872u}, + {7469952526870444257u, 14479142226848862514u, 1329227995u}, + {13531654022114669524u, 6073184580144670117u, 1u}, + {15757609704383306943u, 24519928653u, 0u}, + {9590990814237149590u, 24u, 0u}, + {1u, 0u, 196662132736u}, + {15408590707489433890u, 12214193123817091080u, 95899502532u}, + {18332056844289122710u, 16592893013671929434u, 240246646623u}, + {11114572877353986193u, 4549827147718617002u, 72285931760u}, + {1703393793997526525u, 5274510003815168970u, 87112u}, + {5082852056285196265u, 1606938044258990u, 0u}, + {816434266573722365u, 1606938u, 0u}, + {1u, 0u, 129530986496u}, + {5736523019264798742u, 9794971998307800534u, 69797980545u}, + {10129314776268243339u, 14720142899209240168u, 36233143877u}, + {16511595775483995364u, 4300745446091561534u, 50823839524u}, + {12367293405401453325u, 15197156861335443363u, 5708990770u}, + {16934621733248854291u, 13078571300009428617u, 5u}, + {10278280417769171336u, 105312291668u, 0u}, + {5760764486226151240u, 105u, 0u}, + {1u, 0u, 238731001856u}, + {4128368337188369761u, 13484604155038683036u, 72453031918u}, + {10240941003671005056u, 8356963862052375698u, 175317175368u}, + {17933378316822368251u, 5850852848337610020u, 231147060143u}, + {8346249813075698616u, 2712780827214982049u, 128419156711u}, + {15906203609160902695u, 7732076577307618051u, 374144u}, + {14525607416135386328u, 6901746346790563u, 0u}, + {6397156777364256320u, 6901746u, 0u}, + {1u, 0u, 34937634816u}, + {16798760952716600048u, 17296309485351745866u, 249899825954u}, + {2419982808370854967u, 16598859101615853087u, 50404946937u}, + {2922947087773078956u, 7469952526870444256u, 165733552434u}, + {15419220167069510190u, 13531654022114669523u, 77854221733u}, + {3452124642157173416u, 15757609704383306942u, 24519928653u}, + {5979700067267186899u, 9590990814237149589u, 24u}, + {4913998146922579597u, 452312848583u, 0u}, + {5771037749337678924u, 452u, 0u}, + {1u, 0u, 8835301376u}, + {3464734175350698519u, 15408590707489433889u, 90993782792u}, + {9334527711335850125u, 18332056844289122709u, 170602522202u}, + {7269882896518450106u, 11114572877353986192u, 202092341162u}, + {1372511258182263196u, 1703393793997526524u, 174275541962u}, + {7571228438575951046u, 5082852056285196264u, 26044258990u}, + {2992506536646070406u, 816434266573722364u, 1606938u}, + {524517896824344606u, 29642774844752946u, 0u}, + {15582941400898702773u, 29642774u, 0u}, + {1u, 0u, 214310977536u}, + {3846112492507251066u, 5736523019264798741u, 104549111254u}, + {16681117750123089487u, 10129314776268243338u, 62895095400u}, + {14986314536556547267u, 16511595775483995363u, 163670432318u}, + {2573712825027107389u, 12367293405401453324u, 137918027683u}, + {7504855874008324928u, 16934621733248854290u, 84557186697u}, + {9572138030626879787u, 10278280417769171335u, 105312291668u}, + {8520676959353394843u, 5760764486226151239u, 105u}, + {13448984662897903496u, 1942668892225u, 0u}, + {12338883700918130648u, 1942u, 0u}, + {1u, 0u, 156223799296u}, + {2517285787892561600u, 4128368337188369760u, 146555162524u}, + {4338831817635138103u, 10240941003671005055u, 36972170386u}, + {1561495325934523196u, 17933378316822368250u, 161452451108u}, + {12262635050079398786u, 8346249813075698615u, 3862277025u}, + {11144065765517284188u, 15906203609160902694u, 163787434755u}, + {1212260522471875711u, 14525607416135386327u, 242346790563u}, + {9695352922247418869u, 6397156777364256319u, 6901746u}, + {7227025834627242948u, 127314748520905380u, 0u}, + {9609008238705447829u, 127314748u, 0u}, + {1u, 0u, 74910662656u}, + {3609144142396852269u, 16798760952716600047u, 31131187530u}, + {11568848377382068865u, 2419982808370854966u, 224158453279u}, + {10068303578029323957u, 2922947087773078955u, 211835877600u}, + {11645070846862630231u, 15419220167069510189u, 190187140051u}, + {12449386705878485055u, 3452124642157173415u, 149324160190u}, + {15025619323517318418u, 5979700067267186898u, 199266388373u}, + {14996237555047131272u, 4913998146922579596u, 196312848583u}, + {10211005638256058413u, 5771037749337678923u, 452u}, + {1014743503555840530u, 8343699359066u, 0u}, + {12900897707145290678u, 8343u, 0u}, + {1u, 0u, 33187823616u}, + {4718003016239473662u, 3464734175350698518u, 149506025761u}, + {14865830648693666725u, 9334527711335850124u, 144394101141u}, + {14754517212823091778u, 7269882896518450105u, 252074403984u}, + {11113946551474911901u, 1372511258182263195u, 232410437116u}, + {1963520352638130630u, 7571228438575951045u, 252162224104u}, + {13342587341404964200u, 2992506536646070405u, 50028434172u}, + {6240392545013573291u, 524517896824344605u, 22844752946u}, + {14377490861349714758u, 15582941400898702772u, 29642774u}, + {1717863312631397839u, 546812681195752981u, 0u}, + {3611005143890591770u, 546812681u, 0u}, + {1u, 0u, 21208498176u}, + {13168252824351245504u, 3846112492507251065u, 138904285205u}, + {735883891883379688u, 16681117750123089486u, 227812409738u}, + {10609203866866106404u, 14986314536556547266u, 12139521251u}, + {12358191111890306470u, 2573712825027107388u, 18406839052u}, + {15229916368406413528u, 7504855874008324927u, 135518906642u}, + {7241424335568075942u, 9572138030626879786u, 71461906823u}, + {6049715868779871913u, 8520676959353394842u, 65729070919u}, + {2000548404719336762u, 13448984662897903495u, 150668892225u}, + {1410974761895205301u, 12338883700918130647u, 1942u}, + {16000132467694084868u, 35835915874844u, 0u}, + {16894908866816792556u, 35835u, 0u}, + {1u, 0u, 96136462336u}, + {589096329272056762u, 2517285787892561599u, 127235208544u}, + {7097729792403256904u, 4338831817635138102u, 250084648831u}, + {8553736750439287020u, 1561495325934523195u, 183664758778u}, + {2114152625261065696u, 12262635050079398785u, 38604121015u}, + {9817523680007641224u, 11144065765517284187u, 215065716774u}, + {13047215537500048015u, 1212260522471875710u, 63525586135u}, + {16755544192002345880u, 9695352922247418868u, 164391777855u}, + {6930119832670648356u, 7227025834627242947u, 60520905380u}, + {14560698131901886167u, 9609008238705447828u, 127314748u}, + {16408020927503338035u, 2348542582773833227u, 0u}, + {14274703510609809116u, 2348542582u, 0u}, + {1u, 0u, 239195652096u}, + {16428432973129962470u, 3609144142396852268u, 54627148527u}, + {3721112279790863774u, 11568848377382068864u, 171545803830u}, + {18032764903259620753u, 10068303578029323956u, 45631280555u}, + {18058455550468776079u, 11645070846862630230u, 167674882605u}, + {15692090139033993190u, 12449386705878485054u, 210814540455u}, + {389416944300619393u, 15025619323517318417u, 140812947666u}, + {12009691357260487293u, 14996237555047131271u, 75553539724u}, + {13494259174449809900u, 10211005638256058412u, 90055009355u}, + {18288583400616279877u, 1014743503555840529u, 151699359066u}, + {7216107869057472u, 12900897707145290677u, 8343u}, + {17237061291959073878u, 153914086704665u, 0u}, + {1599418782488783273u, 153914u, 0u}, + {1u, 0u, 22255763456u}, + {9565464987240335777u, 4718003016239473661u, 140805878294u}, + {857713933775880687u, 14865830648693666724u, 185799843980u}, + {4621617820081363356u, 14754517212823091777u, 155602488249u}, + {9630162611715632528u, 11113946551474911900u, 197106442651u}, + {9283986497984645815u, 1963520352638130629u, 133723303109u}, + {8981807745082630996u, 13342587341404964199u, 29338292357u}, + {18350140531565934622u, 6240392545013573290u, 180779405341u}, + {4411619033127524143u, 14377490861349714757u, 21093125556u}, + {1852297584111266889u, 1717863312631397838u, 9195752981u}, + {11746243463811666096u, 3611005143890591769u, 546812681u}, + {6335244004343789147u, 10086913586276986678u, 0u}, + {5109502367228239844u, 10086913586u, 0u}, + {1603272682579847821u, 10u, 0u}, + {1u, 0u, 121713852416u}, + {6609546910952910052u, 13168252824351245503u, 78039892345u}, + {3911171343112928288u, 735883891883379687u, 194575126094u}, + {5254510615100863555u, 10609203866866106403u, 60669938882u}, + {3881927570803887650u, 12358191111890306469u, 63825615420u}, + {6379348759607163190u, 15229916368406413527u, 42392558399u}, + {14595733737222406466u, 7241424335568075941u, 154327955754u}, + {14670223432002373542u, 6049715868779871912u, 135108449946u}, + {4045087795619708513u, 2000548404719336761u, 215076489095u}, + {12598467307137142718u, 1410974761895205300u, 28867368919u}, + {734704388050777108u, 16000132467694084867u, 251915874844u}, + {5682201693687285822u, 16894908866816792555u, 35835u}, + {11048712694145438788u, 661055968790248u, 0u}, + {17871025777010319485u, 661055u, 0u}, + {1u, 0u, 191031934976u}, + {15268761435931663695u, 589096329272056761u, 54384768703u}, + {5016238054648555438u, 7097729792403256903u, 59463698998u}, + {14236047313993899750u, 8553736750439287019u, 129114608443u}, + {6957759675154690848u, 2114152625261065695u, 91532209025u}, + {18439367135478514473u, 9817523680007641223u, 126707290971u}, + {8539004472540641041u, 13047215537500048014u, 244908319870u}, + {1908462039431738399u, 16755544192002345879u, 195375682548u}, + {714690453250792146u, 6930119832670648355u, 148789337027u}, + {13782189447673929633u, 14560698131901886166u, 11889480596u}, + {3584742913798803164u, 16408020927503338034u, 118773833227u}, + {4347581515245125291u, 14274703510609809115u, 2348542582u}, + {16836742268156371392u, 6429475823218628948u, 2u}, + {11764082328865615308u, 43322963970u, 0u}, + {5957633711383291746u, 43u, 0u}, + {1u, 0u, 44890587136u}, + {9917186842884466953u, 16428432973129962469u, 128201721900u}, + {4751011869809829335u, 3721112279790863773u, 180977558144u}, + {11068497969931435029u, 18032764903259620752u, 86978950836u}, + {17118056985122509954u, 18058455550468776078u, 62850669910u}, + {14607066080907684459u, 15692090139033993189u, 17021110334u}, + {11768892370493391107u, 389416944300619392u, 135651046673u}, + {4043396447647747170u, 12009691357260487292u, 44731525255u}, + {1670341095362518057u, 13494259174449809899u, 17991426092u}, + {3190817644167043165u, 18288583400616279876u, 181000391185u}, + {10425820027224322486u, 7216107869057471u, 25934422965u}, + {13139964660506311565u, 17237061291959073877u, 58086704665u}, + {2297772885416059937u, 1599418782488783272u, 153914u}, + {7677687919964523763u, 2839213766779714u, 0u}, + {14144589152747892828u, 2839213u, 0u}, + {1u, 0u, 253518544896u}, + {17069730341503660290u, 9565464987240335776u, 164046496765u}, + {18167423787163077107u, 857713933775880686u, 65250538404u}, + {3765746945827805904u, 4621617820081363355u, 156522052161u}, + {10241734342430761691u, 9630162611715632527u, 197503285916u}, + {13345717282537140784u, 9283986497984645814u, 103486904773u}, + {9313926784816939953u, 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3355564873147047621u, 30100456398u}, + {12644999363867216251u, 1853093467828272926u, 105799888670u}, + {4553830511509832021u, 14755341584803008676u, 103254872681u}, + {8869400642218174412u, 4701571132542556620u, 87332245607u}, + {16570849151159054040u, 6128849686644853850u, 68651977815u}, + {16127119334101797673u, 12026867901170202093u, 86970890052u}, + {9686867250420930550u, 17909760324981426302u, 230157084246u}, + {10678226869774428035u, 2897692901883393663u, 163499238u}, + {7767227962910162068u, 3016028602530220424u, 0u}, + {9780840471948993674u, 3016028602u, 0u}, + {1u, 0u, 213668069376u}, + {6288709332106746357u, 12323704802554838153u, 16386837205u}, + {9066785620141948673u, 7135886931147821731u, 141831652624u}, + {8442375916704414909u, 15341283120292884946u, 14167660429u}, + {11604629218100425803u, 3092789040392634165u, 188477686542u}, + {3877248044010875762u, 8811761390822097864u, 134914571196u}, + {16435137704395217283u, 16870860798610218168u, 103946077062u}, + 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124958581275u}, + {16355477587312235322u, 17682703471239266775u, 227983788156u}, + {2411485149249320633u, 18147688354161351335u, 145361224931u}, + {12763114642070638360u, 6663423873348080050u, 183510511249u}, + {1147543073987366419u, 9417270363716235132u, 197503883703u}, + {8410777835225272692u, 9295013721571344178u, 63336074437u}, + {8134725822306818018u, 6199479138350037782u, 14048117055u}, + {8899607004752328377u, 887603005365085687u, 232018105614u}, + {690976506652396830u, 333989628642975695u, 140250490600u}, + {12281570945595192074u, 4620735991403939438u, 54673209484u}, + {12592957291365552899u, 12418523063962801200u, 219086071862u}, + {13595807339013970272u, 1587745622680169418u, 10715u}, + {9698096389749839992u, 197658450495420u, 0u}, + {8310173728816391804u, 197658u, 0u}, +}; + +} // namespace fast_io::details::ryu diff --git a/include/fast_io_unit/floating/ryu/float64fixed_full_table2.h b/include/fast_io_unit/floating/ryu/float64fixed_full_table2.h new file mode 100644 index 000000000..5d90a9c07 --- /dev/null +++ b/include/fast_io_unit/floating/ryu/float64fixed_full_table2.h @@ -0,0 +1,3163 @@ +#pragma once + +namespace fast_io::details::ryu +{ + +inline constexpr ::std::size_t table_size_2{69}; +inline constexpr ::std::size_t addtional_bits_2{120}; + +inline constexpr ::std::uint_least16_t pow10_offset_2[table_size_2] = { + 0, 2, 6, 12, 20, 29, 40, 52, 66, 80, + 95, 112, 130, 150, 170, 192, 215, 240, 265, 292, + 320, 350, 381, 413, 446, 480, 516, 552, 590, 629, + 670, 712, 755, 799, 845, 892, 940, 989, 1040, 1092, + 1145, 1199, 1254, 1311, 1369, 1428, 1488, 1550, 1613, 1678, + 1743, 1810, 1878, 1947, 2017, 2088, 2161, 2235, 2311, 2387, + 2465, 2544, 2625, 2706, 2789, 2873, 2959, 3046, 3133}; + +inline constexpr ::std::uint_least8_t min_block_2[table_size_2] = { + 0, 0, 0, 0, 0, 0, 1, 1, 2, 3, + 3, 4, 4, 5, 5, 6, 6, 7, 7, 8, + 8, 9, 9, 10, 11, 11, 12, 12, 13, 13, + 14, 14, 15, 15, 16, 16, 17, 17, 18, 19, + 19, 20, 20, 21, 21, 22, 22, 23, 23, 24, + 24, 25, 26, 26, 27, 27, 28, 28, 29, 29, + 30, 30, 31, 31, 32, 32, 33, 34, 0}; + +inline constexpr ::std::uint_least64_t pow10_split_2[3133][3] = { + {0u, 0u, 3906250u}, + {0u, 0u, 202000000000u}, + {0u, 11153727427136454656u, 59u}, + {0u, 7205759403792793600u, 59604644775u}, + {0u, 0u, 167390625000u}, + {0u, 0u, 232000000000u}, + {0u, 16777216000000000u, 0u}, + {0u, 12945425605062557696u, 909494u}, + {0u, 4388757836872548352u, 182701772928u}, + {0u, 1152921504606846976u, 128237915039u}, + {0u, 0u, 159062500000u}, + {0u, 0u, 160000000000u}, + {0u, 256000000000u, 0u}, + {0u, 16192327041775828992u, 13u}, + {0u, 15024075324038053888u, 13877787807u}, + {0u, 5449091666327633920u, 159814456755u}, + {0u, 2494994193563254784u, 179295395851u}, + {0u, 4611686018427387904u, 11135253906u}, + {0u, 0u, 146250000000u}, + {0u, 0u, 128000000000u}, + {0u, 3906250u, 0u}, + {0u, 3906250000000000u, 0u}, + {0u, 4368439412768899072u, 211758u}, + {0u, 1563676642168012800u, 46236813575u}, + {0u, 11532349341402398720u, 7084767080u}, + {0u, 9048364970084925440u, 104625169910u}, + {0u, 16609275425742389248u, 246490512847u}, + {0u, 0u, 207900390625u}, + {0u, 0u, 225000000000u}, + {11153727427136454656u, 59u, 0u}, + {7205759403792793600u, 59604644775u, 0u}, + {0u, 4264412554261970152u, 3u}, + {0u, 14485570586272534528u, 3231174267u}, + {0u, 17827675094632103936u, 123785264354u}, + {0u, 7347197909193981952u, 226966440203u}, + {0u, 13677404030777688064u, 11398292396u}, + {0u, 3810326759732150272u, 172741453558u}, + {0u, 9943947977234055168u, 246206558227u}, + {0u, 0u, 19539062500u}, + {0u, 0u, 228000000000u}, + {12945425605062557696u, 909494u, 0u}, + {4388757836872548352u, 909494701772928u, 0u}, + {1152921504606846976u, 14878706826214591391u, 49303u}, + {0u, 4387341015746028192u, 151806576313u}, + {0u, 651726680428265472u, 185237838233u}, + {0u, 2570638187944738816u, 153035330174u}, + {0u, 7419175577111756800u, 126139354575u}, + {0u, 17299322326264840192u, 207402194313u}, + {0u, 7990511638862102528u, 137937798142u}, + {0u, 16717361816799281152u, 254433166503u}, + {0u, 0u, 167906250000u}, + {0u, 0u, 16000000000u}, + {16192327041775828992u, 13u, 0u}, + {15024075324038053888u, 13877787807u, 0u}, + {5449091666327633920u, 13877787807814456755u, 0u}, + {2494994193563254784u, 9707857417284919307u, 752316384u}, + {4611686018427387904u, 1844515466944871826u, 224526264005u}, + {0u, 15167599819856275072u, 197099991383u}, + {0u, 14830185305589481472u, 87822237233u}, + {0u, 6163721531743535104u, 49803945956u}, + {0u, 14122847407012052992u, 228334136013u}, + {0u, 335491783960035328u, 205765601092u}, + {0u, 941252322120433664u, 68018187046u}, + {0u, 11529215046068469760u, 38051025390u}, + {0u, 0u, 238625000000u}, + {0u, 0u, 64000000000u}, + {4368439412768899072u, 211758u, 0u}, + {1563676642168012800u, 211758236813575u, 0u}, + {11532349341402398720u, 8061591463141767016u, 11479u}, + {9048364970084925440u, 16628725344207857142u, 215437019748u}, + {16609275425742389248u, 3555541870038531535u, 100901445007u}, + {0u, 18316647450161853665u, 143192746310u}, + {0u, 16709574568378075648u, 70992947447u}, + {0u, 7696022835795591168u, 247905827852u}, + {0u, 16664449640376041472u, 12417202233u}, + {0u, 3109186955116544000u, 57903381625u}, + {0u, 10515518101817131008u, 121168549362u}, + {0u, 9961962375743537152u, 242570047378u}, + {0u, 9223372036854775808u, 146540039062u}, + {0u, 0u, 150500000000u}, + {14485570586272534528u, 3231174267u, 0u}, + {17827675094632103936u, 3231174267785264354u, 0u}, + {7347197909193981952u, 748977172262750475u, 175162308u}, + {13677404030777688064u, 15965033457315095468u, 196040602133u}, + {3810326759732150272u, 16809402149066729206u, 21865466197u}, + {9943947977234055168u, 7563769067065700371u, 85911239516u}, + {0u, 13550322810840051428u, 92410032742u}, + {0u, 8663209637545764864u, 102734564471u}, + {0u, 8969247575312957440u, 119469633535u}, + {0u, 6193172891660451840u, 255486223885u}, + {0u, 3427954273864908800u, 13335732575u}, + {0u, 10058367555266936832u, 95185829773u}, + {0u, 13907115649320091648u, 141545265197u}, + {0u, 0u, 45753906250u}, + {0u, 0u, 74000000000u}, + {14878706826214591391u, 49303u, 0u}, + {4387341015746028192u, 49303806576313u, 0u}, + {651726680428265472u, 14106411361315920281u, 2672u}, + {2570638187944738816u, 3609034283485221502u, 112764710092u}, + {7419175577111756800u, 9896072247338192335u, 204195646140u}, + {17299322326264840192u, 8889095178479228297u, 188536467151u}, + {7990511638862102528u, 3631796911038383102u, 207481878815u}, + {16717361816799281152u, 898318840772166823u, 31196880105u}, + {0u, 17293677953982795024u, 233048697961u}, + {0u, 7353628266884669440u, 105937492160u}, + {0u, 2404693032470315008u, 192398640987u}, + {0u, 9191155893041889280u, 91130358670u}, + {0u, 6353946855033798656u, 142498253559u}, + {0u, 3767824038248841216u, 247344448149u}, + {0u, 7205759403792793600u, 149204254150u}, + {0u, 0u, 198390625000u}, + {0u, 0u, 232000000000u}, + {9707857417284919307u, 752316384u, 0u}, + {1844515466944871826u, 752316384526264005u, 0u}, + {15167599819856275072u, 17063068157692817751u, 40783152u}, + {14830185305589481472u, 5385330256507239985u, 48924990778u}, + {6163721531743535104u, 3373050282752075748u, 58291939338u}, + {14122847407012052992u, 4116064001262906061u, 10182853422u}, + {335491783960035328u, 11306582046748043076u, 46223132276u}, + {941252322120433664u, 17035410946089626406u, 116612931040u}, + {11529215046068469760u, 15618595715183448558u, 224923491477u}, + {0u, 5141740092277295680u, 149846685770u}, + {0u, 16973644291514990592u, 74278734288u}, + {0u, 14625255268443750400u, 208920143100u}, + {0u, 14021170507320131584u, 252792836676u}, + {0u, 4451355232865091584u, 68760089176u}, + {0u, 12891553933348044800u, 88241308450u}, + {0u, 1152921504606846976u, 34698852539u}, + {0u, 0u, 187062500000u}, + {0u, 0u, 160000000000u}, + {8061591463141767016u, 11479u, 0u}, + {16628725344207857142u, 11479437019748u, 0u}, + {3555541870038531535u, 5562205901560339855u, 622u}, + {18316647450161853665u, 2106077949367544134u, 110301527786u}, + {16709574568378075648u, 7496855998374373623u, 234114170714u}, + {7696022835795591168u, 229183437194837004u, 90406405378u}, + {16664449640376041472u, 465169186276472889u, 2012424059u}, + {3109186955116544000u, 2152980561625316473u, 123025216872u}, + {10515518101817131008u, 2059790725449340402u, 104116713310u}, + {9961962375743537152u, 17891190926410198930u, 94111661478u}, + {9223372036854775808u, 9930696175609809814u, 166969883403u}, + {0u, 7276914261609005312u, 11538344118u}, + {0u, 10539762974036983808u, 182394482312u}, + {0u, 12851089458992250880u, 136571361695u}, + {0u, 9449311677678878720u, 159696658955u}, + {0u, 8699564697382289408u, 11512248212u}, + {0u, 4224376450473525248u, 148471604347u}, + {0u, 4611686018427387904u, 123229003906u}, + {0u, 0u, 130250000000u}, + {0u, 0u, 128000000000u}, + {748977172262750475u, 175162308u, 0u}, + {15965033457315095468u, 175162308040602133u, 0u}, + {16809402149066729206u, 13756840147955779925u, 9495567u}, + {7563769067065700371u, 13788447602092505948u, 15745759798u}, + {13550322810840051428u, 4972540435632173670u, 54747473242u}, + {8663209637545764864u, 2844874687533091959u, 90269561957u}, + {8969247575312957440u, 15377573779532804095u, 101154220965u}, + {6193172891660451840u, 17824715805091194381u, 165833619944u}, + {3427954273864908800u, 18277569135638159711u, 232966279779u}, + {10058367555266936832u, 4254645803379752845u, 99990829008u}, + {13907115649320091648u, 2933643244178200621u, 208230644811u}, + {0u, 17188148801879487562u, 75159033118u}, + {0u, 11069762501163246592u, 30931771413u}, + {0u, 11676570643941818368u, 21600093027u}, + {0u, 17840016768744030208u, 99632988162u}, + {0u, 16463817321652158464u, 2967109246u}, + {0u, 6954191143357644800u, 126892505325u}, + {0u, 5080060379673919488u, 237376987457u}, + {0u, 0u, 65275390625u}, + {0u, 0u, 161000000000u}, + {14106411361315920281u, 2672u, 0u}, + {3609034283485221502u, 2672764710092u, 0u}, + {9896072247338192335u, 16433563478020213436u, 144u}, + {8889095178479228297u, 4194750497955655375u, 144890865261u}, + {3631796911038383102u, 2691539602252904735u, 109227397880u}, + {898318840772166823u, 3775467271962795241u, 248145908654u}, + {17293677953982795024u, 16980212613224918121u, 174204668490u}, + {7353628266884669440u, 4172857038337333440u, 74920499170u}, + {2404693032470315008u, 5936867627376461659u, 226226211033u}, + {9191155893041889280u, 17856837443266866062u, 217321838238u}, + {6353946855033798656u, 8956297047799810807u, 158968021097u}, + {3767824038248841216u, 15356974049716912789u, 105485521835u}, + {7205759403792793600u, 6923608913322982854u, 171832503231u}, + {0u, 4855902993563955944u, 191375329591u}, + {0u, 13835893222288330752u, 55263239028u}, + {0u, 9114973913760137216u, 116750045274u}, + {0u, 17937099003422310400u, 90494123725u}, + {0u, 7007960010734960640u, 205972372085u}, + {0u, 7683422439270776832u, 117379902273u}, + {0u, 720575940379279360u, 65416519165u}, + {0u, 0u, 253039062500u}, + {0u, 0u, 228000000000u}, + {17063068157692817751u, 40783152u, 0u}, + {5385330256507239985u, 40783152924990778u, 0u}, + {3373050282752075748u, 2768933352715741194u, 2210859u}, + {4116064001262906061u, 15201941611824153390u, 43150104177u}, + {11306582046748043076u, 1418128541727000180u, 113824098906u}, + {17035410946089626406u, 5353350204565757408u, 90076876902u}, + {15618595715183448558u, 1721001680354286741u, 102290205696u}, + {5141740092277295680u, 637631411660453962u, 93295688u}, + {16973644291514990592u, 1630012588870568400u, 72034566068u}, + {14625255268443750400u, 9253063571656828156u, 180088363159u}, + {14021170507320131584u, 6029146854993203780u, 151501609581u}, + {4451355232865091584u, 16987401965352759896u, 109326840705u}, + {12891553933348044800u, 14499131620542087970u, 129920888905u}, + {1152921504606846976u, 1978417255298660539u, 73785999500u}, + {0u, 5790079354402454176u, 140107250214u}, + {0u, 13748918935842078720u, 38313880830u}, + {0u, 18047438014740692992u, 254745330388u}, + {0u, 3116889656839372800u, 212978353575u}, + {0u, 15995952446606147584u, 167168966926u}, + {0u, 12530140063251562496u, 14867142319u}, + {0u, 16717361816799281152u, 175679260253u}, + {0u, 0u, 93906250000u}, + {0u, 0u, 16000000000u}, + {5562205901560339855u, 622u, 0u}, + {2106077949367544134u, 622301527786u, 0u}, + {7496855998374373623u, 13558973353698967386u, 33u}, + {229183437194837004u, 6228991722850501890u, 33735033418u}, + {465169186276472889u, 16886831391703377787u, 74337674317u}, + {2152980561625316473u, 1181713637872883048u, 77915436964u}, + {2059790725449340402u, 12393932434925221726u, 164064060824u}, + {17891190926410198930u, 10684799845419711910u, 152671876423u}, + {9930696175609809814u, 4590318792215640843u, 71579224160u}, + {7276914261609005312u, 6383712187366189238u, 96248841680u}, + {10539762974036983808u, 1904270214927675016u, 208346061731u}, + {12851089458992250880u, 3711506775113308575u, 163103230695u}, + {9449311677678878720u, 8091219444738793995u, 231201201185u}, + {8699564697382289408u, 39436684991068052u, 33438625885u}, + {4224376450473525248u, 18025182908196512891u, 93002137866u}, + {4611686018427387904u, 7853924592034603138u, 10977147123u}, + {0u, 4815749283615688320u, 243425762105u}, + {0u, 14242399906544287744u, 57261062291u}, + {0u, 76242322576113664u, 147772082046u}, + {0u, 10858088421377703936u, 126004133104u}, + {0u, 14293835879041466368u, 240588618152u}, + {0u, 12182236992037191680u, 168774870395u}, + {0u, 11529215046068469760u, 123660400390u}, + {0u, 0u, 6625000000u}, + {0u, 0u, 64000000000u}, + {13756840147955779925u, 9495567u, 0u}, + {13788447602092505948u, 9495567745759798u, 0u}, + {4972540435632173670u, 14000097438505379162u, 514755u}, + {2844874687533091959u, 16451062686452429925u, 195758946802u}, + {15377573779532804095u, 4009347599785716645u, 242891813895u}, + {17824715805091194381u, 16544162347546196456u, 7217347168u}, + {18277569135638159711u, 17674258299745817187u, 96896860837u}, + {4254645803379752845u, 5215238411201214416u, 165958123462u}, + {2933643244178200621u, 14253990228345322571u, 198282718640u}, + {17188148801879487562u, 11214836553940194590u, 176772710358u}, + {11069762501163246592u, 14620711348380590101u, 214607957507u}, + {11676570643941818368u, 6638710787931587427u, 3792590350u}, + {17840016768744030208u, 17320000343692853250u, 14359885232u}, + {16463817321652158464u, 75147386268843646u, 176938919100u}, + {6954191143357644800u, 17938801582125480173u, 188004073747u}, + {5080060379673919488u, 6573358613626446145u, 19972464382u}, + {0u, 8688505427903736481u, 254356342484u}, + {0u, 539870168696556032u, 212471004823u}, + {0u, 9002861336394465280u, 151029266420u}, + {0u, 17989846818158018560u, 244488046090u}, + {0u, 2700938287723315200u, 10975231550u}, + {0u, 17800090499088908288u, 62146418157u}, + {0u, 8809040871136690176u, 237964944839u}, + {0u, 9223372036854775808u, 199477539062u}, + {0u, 0u, 246500000000u}, + {16433563478020213436u, 144u, 0u}, + 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6683013428676659077u, 124403453701u}, + {4729646697422664063u, 16713703375071907588u, 5362286883u}, + {4090144564201555829u, 8791044883080637861u, 35906051675u}, + {2109480737093400002u, 602844107089214413u, 91476563498u}, + {16577155033369419739u, 9754832281172880875u, 42032680244u}, + {745377248603805917u, 10587846778003503903u, 52528810517u}, + {11305561465807999667u, 17206244172922947013u, 21573968323u}, + {2211245518782892177u, 11620628420699303875u, 195932752365u}, + {14170095199249735666u, 17864732368219338611u, 237629955528u}, + {17849973668116118927u, 4146383014621345887u, 200968449082u}, + {9020960204585720001u, 11445705075042688243u, 58224775873u}, + {10807134002871850916u, 7369147888966546592u, 193620472915u}, + {3925122626254791201u, 9762476865090597796u, 83399482307u}, + {17208463291312718997u, 5507001428194242827u, 195529224931u}, + {5145077219589447653u, 11371471148365328344u, 227298535145u}, + {17602397765035489468u, 3148788104946538618u, 233616448686u}, + {16422643262490753377u, 3762722308424507574u, 174170696145u}, + {2902509461400906224u, 1156171244825745915u, 209203977585u}, + {3422418805967265206u, 14208921674868257865u, 113062676168u}, + {4228874576277237392u, 7903080886897905503u, 200770267187u}, + {2553488530807495751u, 6367240794154270982u, 51428426873u}, + {11546099176912486413u, 1623672396662369850u, 121345168815u}, + {10460791037534167991u, 18323231215381674394u, 175088019456u}, + {8127117908566000904u, 9842279843006544554u, 993304354u}, + {11541304458088287306u, 7376839231308610600u, 34533551059u}, + {6249718665174839700u, 609751749293657672u, 211399899256u}, + {13102508413386290995u, 10386457966860989799u, 120033054708u}, + {6274675218640661911u, 11160336020836149780u, 244563051014u}, + {3404497118599817167u, 17947559933847409193u, 6605003027u}, + {11258566093988562335u, 10229787001712704590u, 19972939173u}, + {16762592482501635397u, 10441677090043619866u, 165554557864u}, + {5550125446725071998u, 4996681336392922375u, 168566044449u}, + {6370033225258510318u, 124497102381021895u, 33270870638u}, + {1503521728674735398u, 8180812057779384577u, 110006749001u}, + {4250415082606384364u, 5294232873532946716u, 73443482710u}, + {6020091901030562974u, 2885620189169448039u, 86287000939u}, + {16288222967151527138u, 16662526875008170507u, 107156429783u}, + {6377016228656203782u, 15663095032402672480u, 215903277391u}, + {8378856515587563750u, 1824281504410546614u, 79849098083u}, + {15812881490200838483u, 9506565509584809953u, 99098894498u}, + {4548570371183413652u, 16941136942345070055u, 162515351948u}, + {16731431495283420383u, 15924115693705937725u, 140918380873u}, + {14737727629551135532u, 9247807690406628462u, 73863248041u}, + {12413722258104293893u, 7993916633864834871u, 169501324659u}, + {800899742400762438u, 1018504409177639408u, 115433351089u}, + {603197008376033550u, 12097800686634130718u, 177055213234u}, + {6380777281587743935u, 6221488888422637551u, 178655823089u}, + {10001440249018225388u, 8229322865256080421u, 241337267588u}, + {5505914461980436708u, 7927745108183101786u, 132446112486u}, + {1105464290051876864u, 8488683721235326653u, 230429763923u}, + {4500443576769970176u, 11165516518170922283u, 83460172466u}, + {2843045143185981440u, 5463648141113596927u, 178605283863u}, + {660949699682893824u, 3958440403860778042u, 23296184959u}, + {276549164618219520u, 5091534813990256011u, 127214587484u}, + {4683743612465315840u, 6100166970623291280u, 92276012655u}, + {0u, 1913011027739012426u, 111330690714u}, + {0u, 11310957650604221440u, 154103704535u}, + {0u, 16303817257009020928u, 215613168242u}, + {0u, 9090406322154766336u, 114883831704u}, + {0u, 3003279315069566976u, 152492791914u}, + {0u, 16582887146675765248u, 106162808097u}, + {0u, 9691746398101307392u, 33898960113u}, + {0u, 0u, 241525390625u}, + {0u, 0u, 33000000000u}, +}; + +} // namespace fast_io::details::ryu diff --git a/include/fast_io_unit/floating/ryu/float64tos_full_table.h b/include/fast_io_unit/floating/ryu/float64tos_full_table.h index bd957723b..228be2118 100644 --- a/include/fast_io_unit/floating/ryu/float64tos_full_table.h +++ b/include/fast_io_unit/floating/ryu/float64tos_full_table.h @@ -10,342 +10,8 @@ inline constexpr ::std::size_t float64_pow_inv_table_size{342}; inline constexpr ::std::size_t float64_pow_inv_table_size{326}; inline constexpr ::std::uint_least64_t float64_pow5_inv_split[float64_pow_inv_table_size][2] = { -{ 1u, 2305843009213693952u }, { 11068046444225730970u, 1844674407370955161u }, -{ 5165088340638674453u, 1475739525896764129u }, { 7821419487252849886u, 1180591620717411303u }, -{ 8824922364862649494u, 1888946593147858085u }, { 7059937891890119595u, 1511157274518286468u }, -{ 13026647942995916322u, 1208925819614629174u }, { 9774590264567735146u, 1934281311383406679u }, -{ 11509021026396098440u, 1547425049106725343u }, { 16585914450600699399u, 1237940039285380274u }, -{ 15469416676735388068u, 1980704062856608439u }, { 16064882156130220778u, 1584563250285286751u }, -{ 9162556910162266299u, 1267650600228229401u }, { 7281393426775805432u, 2028240960365167042u }, -{ 16893161185646375315u, 1622592768292133633u }, { 2446482504291369283u, 1298074214633706907u }, -{ 7603720821608101175u, 2076918743413931051u }, { 2393627842544570617u, 1661534994731144841u }, -{ 16672297533003297786u, 1329227995784915872u }, { 11918280793837635165u, 2126764793255865396u }, -{ 5845275820328197809u, 1701411834604692317u }, { 15744267100488289217u, 1361129467683753853u }, -{ 3054734472329800808u, 2177807148294006166u }, { 17201182836831481939u, 1742245718635204932u }, -{ 6382248639981364905u, 1393796574908163946u }, { 2832900194486363201u, 2230074519853062314u }, -{ 5955668970331000884u, 1784059615882449851u }, { 1075186361522890384u, 1427247692705959881u }, -{ 12788344622662355584u, 2283596308329535809u }, { 13920024512871794791u, 1826877046663628647u }, -{ 3757321980813615186u, 1461501637330902918u }, { 10384555214134712795u, 1169201309864722334u }, -{ 5547241898389809503u, 1870722095783555735u }, { 4437793518711847602u, 1496577676626844588u }, -{ 10928932444453298728u, 1197262141301475670u }, { 17486291911125277965u, 1915619426082361072u }, -{ 6610335899416401726u, 1532495540865888858u }, { 12666966349016942027u, 1225996432692711086u }, -{ 12888448528943286597u, 1961594292308337738u }, { 17689456452638449924u, 1569275433846670190u }, -{ 14151565162110759939u, 1255420347077336152u }, { 7885109000409574610u, 2008672555323737844u }, -{ 9997436015069570011u, 1606938044258990275u }, { 7997948812055656009u, 1285550435407192220u }, -{ 12796718099289049614u, 2056880696651507552u }, { 2858676849947419045u, 1645504557321206042u }, -{ 13354987924183666206u, 1316403645856964833u }, { 17678631863951955605u, 2106245833371143733u }, -{ 3074859046935833515u, 1684996666696914987u }, { 13527933681774397782u, 1347997333357531989u }, -{ 10576647446613305481u, 2156795733372051183u }, { 15840015586774465031u, 1725436586697640946u }, -{ 8982663654677661702u, 1380349269358112757u }, { 18061610662226169046u, 2208558830972980411u }, -{ 10759939715039024913u, 1766847064778384329u }, { 12297300586773130254u, 1413477651822707463u }, -{ 15986332124095098083u, 2261564242916331941u }, { 9099716884534168143u, 1809251394333065553u }, -{ 14658471137111155161u, 1447401115466452442u }, { 4348079280205103483u, 1157920892373161954u }, -{ 14335624477811986218u, 1852673427797059126u }, { 7779150767507678651u, 1482138742237647301u }, -{ 2533971799264232598u, 1185710993790117841u }, { 15122401323048503126u, 1897137590064188545u }, -{ 12097921058438802501u, 1517710072051350836u }, { 5988988032009131678u, 1214168057641080669u }, -{ 16961078480698431330u, 1942668892225729070u }, { 13568862784558745064u, 1554135113780583256u }, -{ 7165741412905085728u, 1243308091024466605u }, { 11465186260648137165u, 1989292945639146568u }, -{ 16550846638002330379u, 1591434356511317254u }, { 16930026125143774626u, 1273147485209053803u }, -{ 4951948911778577463u, 2037035976334486086u }, { 272210314680951647u, 1629628781067588869u }, -{ 3907117066486671641u, 1303703024854071095u }, { 6251387306378674625u, 2085924839766513752u }, -{ 16069156289328670670u, 1668739871813211001u }, { 9165976216721026213u, 1334991897450568801u }, -{ 7286864317269821294u, 2135987035920910082u }, { 16897537898041588005u, 1708789628736728065u }, -{ 13518030318433270404u, 1367031702989382452u }, { 6871453250525591353u, 2187250724783011924u }, -{ 9186511415162383406u, 1749800579826409539u }, { 11038557946871817048u, 1399840463861127631u }, -{ 10282995085511086630u, 2239744742177804210u }, { 8226396068408869304u, 1791795793742243368u }, -{ 13959814484210916090u, 1433436634993794694u }, { 11267656730511734774u, 2293498615990071511u }, -{ 5324776569667477496u, 1834798892792057209u }, { 7949170070475892320u, 1467839114233645767u }, -{ 17427382500606444826u, 1174271291386916613u }, { 5747719112518849781u, 1878834066219066582u }, -{ 15666221734240810795u, 1503067252975253265u }, { 12532977387392648636u, 1202453802380202612u }, -{ 5295368560860596524u, 1923926083808324180u }, { 4236294848688477220u, 1539140867046659344u }, -{ 7078384693692692099u, 1231312693637327475u }, { 11325415509908307358u, 1970100309819723960u }, -{ 9060332407926645887u, 1576080247855779168u }, { 14626963555825137356u, 1260864198284623334u }, -{ 12335095245094488799u, 2017382717255397335u }, { 9868076196075591040u, 1613906173804317868u }, -{ 15273158586344293478u, 1291124939043454294u }, { 13369007293925138595u, 2065799902469526871u }, -{ 7005857020398200553u, 1652639921975621497u }, { 16672732060544291412u, 1322111937580497197u }, -{ 11918976037903224966u, 2115379100128795516u }, { 5845832015580669650u, 1692303280103036413u }, -{ 12055363241948356366u, 1353842624082429130u }, { 841837113407818570u, 2166148198531886609u }, -{ 4362818505468165179u, 1732918558825509287u }, { 14558301248600263113u, 1386334847060407429u }, -{ 12225235553534690011u, 2218135755296651887u }, { 2401490813343931363u, 1774508604237321510u }, -{ 1921192650675145090u, 1419606883389857208u }, { 17831303500047873437u, 2271371013423771532u }, -{ 6886345170554478103u, 1817096810739017226u }, { 1819727321701672159u, 1453677448591213781u }, -{ 16213177116328979020u, 1162941958872971024u }, { 14873036941900635463u, 1860707134196753639u }, -{ 15587778368262418694u, 1488565707357402911u }, { 8780873879868024632u, 1190852565885922329u }, -{ 2981351763563108441u, 1905364105417475727u }, { 13453127855076217722u, 1524291284333980581u }, -{ 7073153469319063855u, 1219433027467184465u }, { 11317045550910502167u, 1951092843947495144u }, -{ 12742985255470312057u, 1560874275157996115u }, { 10194388204376249646u, 1248699420126396892u }, -{ 1553625868034358140u, 1997919072202235028u }, { 8621598323911307159u, 1598335257761788022u }, -{ 17965325103354776697u, 1278668206209430417u }, { 13987124906400001422u, 2045869129935088668u }, -{ 121653480894270168u, 1636695303948070935u }, { 97322784715416134u, 1309356243158456748u }, -{ 14913111714512307107u, 2094969989053530796u }, { 8241140556867935363u, 1675975991242824637u }, -{ 17660958889720079260u, 1340780792994259709u }, { 17189487779326395846u, 2145249268790815535u }, -{ 13751590223461116677u, 1716199415032652428u }, { 18379969808252713988u, 1372959532026121942u }, -{ 14650556434236701088u, 2196735251241795108u }, { 652398703163629901u, 1757388200993436087u }, -{ 11589965406756634890u, 1405910560794748869u }, { 7475898206584884855u, 2249456897271598191u }, -{ 2291369750525997561u, 1799565517817278553u }, { 9211793429904618695u, 1439652414253822842u }, -{ 18428218302589300235u, 2303443862806116547u }, { 7363877012587619542u, 1842755090244893238u }, -{ 13269799239553916280u, 1474204072195914590u }, { 10615839391643133024u, 1179363257756731672u }, -{ 2227947767661371545u, 1886981212410770676u }, { 16539753473096738529u, 1509584969928616540u }, -{ 13231802778477390823u, 1207667975942893232u }, { 6413489186596184024u, 1932268761508629172u }, -{ 16198837793502678189u, 1545815009206903337u }, { 5580372605318321905u, 1236652007365522670u }, -{ 8928596168509315048u, 1978643211784836272u }, { 18210923379033183008u, 1582914569427869017u }, -{ 7190041073742725760u, 1266331655542295214u }, { 436019273762630246u, 2026130648867672343u }, -{ 7727513048493924843u, 1620904519094137874u }, { 9871359253537050198u, 1296723615275310299u }, -{ 4726128361433549347u, 2074757784440496479u }, { 7470251503888749801u, 1659806227552397183u }, -{ 13354898832594820487u, 1327844982041917746u }, { 13989140502667892133u, 2124551971267068394u }, -{ 14880661216876224029u, 1699641577013654715u }, { 11904528973500979224u, 1359713261610923772u }, -{ 4289851098633925465u, 2175541218577478036u }, { 18189276137874781665u, 1740432974861982428u }, -{ 3483374466074094362u, 1392346379889585943u }, { 1884050330976640656u, 2227754207823337509u }, -{ 5196589079523222848u, 1782203366258670007u }, { 15225317707844309248u, 1425762693006936005u }, -{ 5913764258841343181u, 2281220308811097609u }, { 8420360221814984868u, 1824976247048878087u }, -{ 17804334621677718864u, 1459980997639102469u }, { 17932816512084085415u, 1167984798111281975u }, -{ 10245762345624985047u, 1868775676978051161u }, { 4507261061758077715u, 1495020541582440929u }, -{ 7295157664148372495u, 1196016433265952743u }, { 7982903447895485668u, 1913626293225524389u }, -{ 10075671573058298858u, 1530901034580419511u }, { 4371188443704728763u, 1224720827664335609u }, -{ 14372599139411386667u, 1959553324262936974u }, { 15187428126271019657u, 1567642659410349579u }, -{ 15839291315758726049u, 1254114127528279663u }, { 3206773216762499739u, 2006582604045247462u }, -{ 13633465017635730761u, 1605266083236197969u }, { 14596120828850494932u, 1284212866588958375u }, -{ 4907049252451240275u, 2054740586542333401u }, { 236290587219081897u, 1643792469233866721u }, -{ 14946427728742906810u, 1315033975387093376u }, { 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1398383980394285215u}, {1756452758253807981u, 2237414368630856344u}, {5094511021344956708u, 1789931494904685075u}, {4075608817075965366u, 1431945195923748060u}, {6520974107321544586u, 2291112313477996896u}, {1527430471115325346u, 1832889850782397517u}, {12289990821117991246u, 1466311880625918013u}, {17210690286378213644u, 1173049504500734410u}, {9090360384495590213u, 1876879207201175057u}, {18340334751822203140u, 1501503365760940045u}, {14672267801457762512u, 1201202692608752036u}, {16096930852848599373u, 1921924308174003258u}, {1809498238053148529u, 1537539446539202607u}, {12515645034668249793u, 1230031557231362085u}, {1578287981759648052u, 1968050491570179337u}, {12330676829633449412u, 1574440393256143469u}, {13553890278448669853u, 1259552314604914775u}, {3239480371808320148u, 2015283703367863641u}, {17348979556414297411u, 1612226962694290912u}, {6500486015647617283u, 1289781570155432730u}, {10400777625036187652u, 2063650512248692368u}, {15699319729512770768u, 1650920409798953894u}, {16248804598352126938u, 1320736327839163115u}, {7551343283653851484u, 2113178124542660985u}, {6041074626923081187u, 1690542499634128788u}, {12211557331022285596u, 1352433999707303030u}, {1091747655926105338u, 2163894399531684849u}, {4562746939482794594u, 1731115519625347879u}, {7339546366328145998u, 1384892415700278303u}, {8053925371383123274u, 2215827865120445285u}, {6443140297106498619u, 1772662292096356228u}, {12533209867169019542u, 1418129833677084982u}, {5295740528502789974u, 2269007733883335972u}, {15304638867027962949u, 1815206187106668777u}, {4865013464138549713u, 1452164949685335022u}, {14960057215536570740u, 1161731959748268017u}, {9178696285890871890u, 1858771135597228828u}, {14721654658196518159u, 1487016908477783062u}, {4398626097073393881u, 1189613526782226450u}, {7037801755317430209u, 1903381642851562320u}, {5630241404253944167u, 1522705314281249856u}, {814844308661245011u, 1218164251424999885u}, {1303750893857992017u, 1949062802279999816u}, {15800395974054034906u, 1559250241823999852u}, {5261619149759407279u, 1247400193459199882u}, {12107939454356961969u, 1995840309534719811u}, {5997002748743659252u, 1596672247627775849u}, {8486951013736837725u, 1277337798102220679u}, {2511075177753209390u, 2043740476963553087u}, {13076906586428298482u, 1634992381570842469u}, {14150874083884549109u, 1307993905256673975u}, {4194654460505726958u, 2092790248410678361u}, {18113118827372222859u, 1674232198728542688u}, {3422448617672047318u, 1339385758982834151u}, {16543964232501006678u, 2143017214372534641u}, {9545822571258895019u, 1714413771498027713u}, {15015355686490936662u, 1371531017198422170u}, {5577825024675947042u, 2194449627517475473u}, {11840957649224578280u, 1755559702013980378u}, {16851463748863483271u, 1404447761611184302u}, {12204946739213931940u, 2247116418577894884u}, {13453306206113055875u, 1797693134862315907u}, {3383947335406624054u, 1438154507889852726u}, {16482362180876329456u, 2301047212623764361u}, {9496540929959153242u, 1840837770099011489u}, {11286581558709232917u, 1472670216079209191u}, {5339916432225476010u, 1178136172863367353u}, {4854517476818851293u, 1885017876581387765u}, {3883613981455081034u, 1508014301265110212u}, {14174937629389795797u, 1206411441012088169u}, {11611853762797942306u, 1930258305619341071u}, {5600134195496443521u, 1544206644495472857u}, {15548153800622885787u, 1235365315596378285u}, {6430302007287065643u, 1976584504954205257u}, {16212288050055383484u, 1581267603963364205u}, {12969830440044306787u, 1265014083170691364u}, {9683682259845159889u, 2024022533073106183u}, {15125643437359948558u, 1619218026458484946u}, {8411165935146048523u, 1295374421166787957u}, {17147214310975587960u, 2072599073866860731u}, {10028422634038560045u, 1658079259093488585u}, {8022738107230848036u, 1326463407274790868u}, {9147032156827446534u, 2122341451639665389u}, {11006974540203867551u, 1697873161311732311u}, {5116230817421183718u, 1358298529049385849u}, {15564666937357714594u, 2173277646479017358u}, {1383687105660440706u, 1738622117183213887u}, {12174996128754083534u, 1390897693746571109u}, {8411947361780802685u, 2225436309994513775u}, {6729557889424642148u, 1780349047995611020u}, {5383646311539713719u, 1424279238396488816u}, {1235136468979721303u, 2278846781434382106u}, {15745504434151418335u, 1823077425147505684u}, {16285752362063044992u, 1458461940118004547u}, {5649904260166615347u, 1166769552094403638u}, {5350498001524674232u, 1866831283351045821u}, {591049586477829062u, 1493465026680836657u}, {11540886113407994219u, 1194772021344669325u}, {18673707743239135u, 1911635234151470921u}, {14772334225162232601u, 1529308187321176736u}, {8128518565387875758u, 1223446549856941389u}, {1937583260394870242u, 1957514479771106223u}, {8928764237799716840u, 1566011583816884978u}, {14521709019723594119u, 1252809267053507982u}, {8477339172590109297u, 2004494827285612772u}, {17849917782297818407u, 1603595861828490217u}, {6901236596354434079u, 1282876689462792174u}, {18420676183650915173u, 2052602703140467478u}, {3668494502695001169u, 1642082162512373983u}, {10313493231639821582u, 1313665730009899186u}, {9122891541139893884u, 2101865168015838698u}, {14677010862395735754u, 1681492134412670958u}, {673562245690857633u, 1345193707530136767u}}; inline constexpr ::std::uint_least64_t float64_pow5_split[float64_pow5_table_size][2] = { -{ 0u, 1152921504606846976u }, { 0u, 1441151880758558720u }, -{ 0u, 1801439850948198400u }, { 0u, 2251799813685248000u }, -{ 0u, 1407374883553280000u }, { 0u, 1759218604441600000u }, -{ 0u, 2199023255552000000u }, { 0u, 1374389534720000000u }, -{ 0u, 1717986918400000000u }, { 0u, 2147483648000000000u }, -{ 0u, 1342177280000000000u }, { 0u, 1677721600000000000u }, -{ 0u, 2097152000000000000u }, { 0u, 1310720000000000000u }, -{ 0u, 1638400000000000000u }, { 0u, 2048000000000000000u }, -{ 0u, 1280000000000000000u }, { 0u, 1600000000000000000u }, -{ 0u, 2000000000000000000u }, { 0u, 1250000000000000000u }, -{ 0u, 1562500000000000000u }, { 0u, 1953125000000000000u }, -{ 0u, 1220703125000000000u }, { 0u, 1525878906250000000u }, -{ 0u, 1907348632812500000u }, { 0u, 1192092895507812500u }, -{ 0u, 1490116119384765625u }, { 4611686018427387904u, 1862645149230957031u }, -{ 9799832789158199296u, 1164153218269348144u }, { 12249790986447749120u, 1455191522836685180u }, -{ 15312238733059686400u, 1818989403545856475u }, { 14528612397897220096u, 2273736754432320594u }, -{ 13692068767113150464u, 1421085471520200371u }, { 12503399940464050176u, 1776356839400250464u }, -{ 15629249925580062720u, 2220446049250313080u }, { 9768281203487539200u, 1387778780781445675u }, -{ 7598665485932036096u, 1734723475976807094u }, { 274959820560269312u, 2168404344971008868u }, -{ 9395221924704944128u, 1355252715606880542u }, { 2520655369026404352u, 1694065894508600678u }, -{ 12374191248137781248u, 2117582368135750847u }, { 14651398557727195136u, 1323488980084844279u }, -{ 13702562178731606016u, 1654361225106055349u }, { 3293144668132343808u, 2067951531382569187u }, -{ 18199116482078572544u, 1292469707114105741u }, { 8913837547316051968u, 1615587133892632177u }, -{ 15753982952572452864u, 2019483917365790221u }, { 12152082354571476992u, 1262177448353618888u }, -{ 15190102943214346240u, 1577721810442023610u }, { 9764256642163156992u, 1972152263052529513u }, -{ 17631875447420442880u, 1232595164407830945u }, { 8204786253993389888u, 1540743955509788682u }, -{ 1032610780636961552u, 1925929944387235853u }, { 2951224747111794922u, 1203706215242022408u }, -{ 3689030933889743652u, 1504632769052528010u }, { 13834660704216955373u, 1880790961315660012u }, -{ 17870034976990372916u, 1175494350822287507u }, { 17725857702810578241u, 1469367938527859384u }, -{ 3710578054803671186u, 1836709923159824231u }, { 26536550077201078u, 2295887403949780289u }, -{ 11545800389866720434u, 1434929627468612680u }, { 14432250487333400542u, 1793662034335765850u }, -{ 8816941072311974870u, 2242077542919707313u }, { 17039803216263454053u, 1401298464324817070u }, -{ 12076381983474541759u, 1751623080406021338u }, { 5872105442488401391u, 2189528850507526673u }, -{ 15199280947623720629u, 1368455531567204170u }, { 9775729147674874978u, 1710569414459005213u }, -{ 16831347453020981627u, 2138211768073756516u }, { 1296220121283337709u, 1336382355046097823u }, -{ 15455333206886335848u, 1670477943807622278u }, { 10095794471753144002u, 2088097429759527848u }, -{ 6309871544845715001u, 1305060893599704905u }, { 12499025449484531656u, 1631326116999631131u }, -{ 11012095793428276666u, 2039157646249538914u }, { 11494245889320060820u, 1274473528905961821u }, -{ 532749306367912313u, 1593091911132452277u }, { 5277622651387278295u, 1991364888915565346u }, -{ 7910200175544436838u, 1244603055572228341u }, { 14499436237857933952u, 1555753819465285426u }, -{ 8900923260467641632u, 1944692274331606783u }, { 12480606065433357876u, 1215432671457254239u }, -{ 10989071563364309441u, 1519290839321567799u }, { 9124653435777998898u, 1899113549151959749u }, -{ 8008751406574943263u, 1186945968219974843u }, { 5399253239791291175u, 1483682460274968554u }, -{ 15972438586593889776u, 1854603075343710692u }, { 759402079766405302u, 1159126922089819183u }, -{ 14784310654990170340u, 1448908652612273978u }, { 9257016281882937117u, 1811135815765342473u }, -{ 16182956370781059300u, 2263919769706678091u }, { 7808504722524468110u, 1414949856066673807u }, -{ 5148944884728197234u, 1768687320083342259u }, { 1824495087482858639u, 2210859150104177824u }, -{ 1140309429676786649u, 1381786968815111140u }, { 1425386787095983311u, 1727233711018888925u }, -{ 6393419502297367043u, 2159042138773611156u }, { 13219259225790630210u, 1349401336733506972u }, -{ 16524074032238287762u, 1686751670916883715u }, { 16043406521870471799u, 2108439588646104644u }, -{ 803757039314269066u, 1317774742903815403u }, { 14839754354425000045u, 1647218428629769253u }, -{ 4714634887749086344u, 2059023035787211567u }, { 9864175832484260821u, 1286889397367007229u }, -{ 16941905809032713930u, 1608611746708759036u }, { 2730638187581340797u, 2010764683385948796u }, -{ 10930020904093113806u, 1256727927116217997u }, { 18274212148543780162u, 1570909908895272496u }, -{ 4396021111970173586u, 1963637386119090621u }, { 5053356204195052443u, 1227273366324431638u }, -{ 15540067292098591362u, 1534091707905539547u }, { 14813398096695851299u, 1917614634881924434u }, -{ 13870059828862294966u, 1198509146801202771u }, { 12725888767650480803u, 1498136433501503464u }, -{ 15907360959563101004u, 1872670541876879330u }, { 14553786618154326031u, 1170419088673049581u }, -{ 4357175217410743827u, 1463023860841311977u }, { 10058155040190817688u, 1828779826051639971u }, -{ 7961007781811134206u, 2285974782564549964u }, { 14199001900486734687u, 1428734239102843727u }, -{ 13137066357181030455u, 1785917798878554659u }, { 11809646928048900164u, 2232397248598193324u }, -{ 16604401366885338411u, 1395248280373870827u }, { 16143815690179285109u, 1744060350467338534u }, -{ 10956397575869330579u, 2180075438084173168u }, { 6847748484918331612u, 1362547148802608230u }, -{ 17783057643002690323u, 1703183936003260287u }, { 17617136035325974999u, 2128979920004075359u }, -{ 17928239049719816230u, 1330612450002547099u }, { 17798612793722382384u, 1663265562503183874u }, -{ 13024893955298202172u, 2079081953128979843u }, { 5834715712847682405u, 1299426220705612402u }, -{ 16516766677914378815u, 1624282775882015502u }, { 11422586310538197711u, 2030353469852519378u }, -{ 11750802462513761473u, 1268970918657824611u }, { 10076817059714813937u, 1586213648322280764u }, -{ 12596021324643517422u, 1982767060402850955u }, { 5566670318688504437u, 1239229412751781847u }, -{ 2346651879933242642u, 1549036765939727309u }, { 7545000868343941206u, 1936295957424659136u }, -{ 4715625542714963254u, 1210184973390411960u }, { 5894531928393704067u, 1512731216738014950u }, -{ 16591536947346905892u, 1890914020922518687u }, { 17287239619732898039u, 1181821263076574179u }, -{ 16997363506238734644u, 1477276578845717724u }, { 2799960309088866689u, 1846595723557147156u }, -{ 10973347230035317489u, 1154122327223216972u }, { 13716684037544146861u, 1442652909029021215u }, -{ 12534169028502795672u, 1803316136286276519u }, { 11056025267201106687u, 2254145170357845649u }, -{ 18439230838069161439u, 1408840731473653530u }, { 13825666510731675991u, 1761050914342066913u }, -{ 3447025083132431277u, 2201313642927583642u }, { 6766076695385157452u, 1375821026829739776u }, -{ 8457595869231446815u, 1719776283537174720u }, { 10571994836539308519u, 2149720354421468400u }, -{ 6607496772837067824u, 1343575221513417750u }, { 17482743002901110588u, 1679469026891772187u }, -{ 17241742735199000331u, 2099336283614715234u }, { 15387775227926763111u, 1312085177259197021u }, -{ 5399660979626290177u, 1640106471573996277u }, { 11361262242960250625u, 2050133089467495346u }, -{ 11712474920277544544u, 1281333180917184591u }, { 10028907631919542777u, 1601666476146480739u }, -{ 7924448521472040567u, 2002083095183100924u }, { 14176152362774801162u, 1251301934489438077u }, -{ 3885132398186337741u, 1564127418111797597u }, { 9468101516160310080u, 1955159272639746996u }, -{ 15140935484454969608u, 1221974545399841872u }, { 479425281859160394u, 1527468181749802341u }, -{ 5210967620751338397u, 1909335227187252926u }, { 17091912818251750210u, 1193334516992033078u }, -{ 12141518985959911954u, 1491668146240041348u }, { 15176898732449889943u, 1864585182800051685u }, -{ 11791404716994875166u, 1165365739250032303u }, { 10127569877816206054u, 1456707174062540379u }, -{ 8047776328842869663u, 1820883967578175474u }, { 836348374198811271u, 2276104959472719343u }, -{ 7440246761515338900u, 1422565599670449589u }, { 13911994470321561530u, 1778206999588061986u }, -{ 8166621051047176104u, 2222758749485077483u }, { 2798295147690791113u, 1389224218428173427u }, -{ 17332926989895652603u, 1736530273035216783u }, { 17054472718942177850u, 2170662841294020979u }, -{ 8353202440125167204u, 1356664275808763112u 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{9682642023980241782u, 1319147268013492901u}, {16714988548402690132u, 1648934085016866126u}, {11670363648648586857u, 2061167606271082658u}, {11905663298832754689u, 1288229753919426661u}, {1047021068258779650u, 1610287192399283327u}, {15143834390605638274u, 2012858990499104158u}, {4853210475701136017u, 1258036869061940099u}, {1454827076199032118u, 1572546086327425124u}, {1818533845248790147u, 1965682607909281405u}, {3442426662494187794u, 1228551629943300878u}, {13526405364972510550u, 1535689537429126097u}, {3072948650933474476u, 1919611921786407622u}, {15755650962115585259u, 1199757451116504763u}, {15082877684217093670u, 1499696813895630954u}, {9630225068416591280u, 1874621017369538693u}, {8324733676974063502u, 1171638135855961683u}, {5794231077790191473u, 1464547669819952104u}, {7242788847237739342u, 1830684587274940130u}, {18276858095901949986u, 2288355734093675162u}, {16034722328366106645u, 1430222333808546976u}, {1596658836748081690u, 1787777917260683721u}, {6607509564362490017u, 2234722396575854651u}, {1823850468512862308u, 1396701497859909157u}, {6891499104068465790u, 1745876872324886446u}, {17837745916940358045u, 2182346090406108057u}, {4231062170446641922u, 1363966306503817536u}, {5288827713058302403u, 1704957883129771920u}, {6611034641322878003u, 2131197353912214900u}, {13355268687681574560u, 1331998346195134312u}, {16694085859601968200u, 1664997932743917890u}, {11644235287647684442u, 2081247415929897363u}, {4971804045566108824u, 1300779634956185852u}, {6214755056957636030u, 1625974543695232315u}, {3156757802769657134u, 2032468179619040394u}, {6584659645158423613u, 1270292612261900246u}, {17454196593302805324u, 1587865765327375307u}, {17206059723201118751u, 1984832206659219134u}, {6142101308573311315u, 1240520129162011959u}, {3065940617289251240u, 1550650161452514949u}, {8444111790038951954u, 1938312701815643686u}, {665883850346957067u, 1211445438634777304u}, {832354812933696334u, 1514306798293471630u}, {10263815553021896226u, 1892883497866839537u}, {17944099766707154901u, 1183052186166774710u}, {13206752671529167818u, 1478815232708468388u}, {16508440839411459773u, 1848519040885585485u}, {12623618533845856310u, 1155324400553490928u}, {15779523167307320387u, 1444155500691863660u}, {1277659885424598868u, 1805194375864829576u}, {1597074856780748586u, 2256492969831036970u}, {5609857803915355770u, 1410308106144398106u}, {16235694291748970521u, 1762885132680497632u}, {1847873790976661535u, 2203606415850622041u}, {12684136165428883219u, 1377254009906638775u}, {11243484188358716120u, 1721567512383298469u}, {219297180166231438u, 2151959390479123087u}, {7054589765244976505u, 1344974619049451929u}, {13429923224983608535u, 1681218273811814911u}, {12175718012802122765u, 2101522842264768639u}, {14527352785642408584u, 1313451776415480399u}, {13547504963625622826u, 1641814720519350499u}, {12322695186104640628u, 2052268400649188124u}, {16925056528170176201u, 1282667750405742577u}, {7321262604930556539u, 1603334688007178222u}, {18374950293017971482u, 2004168360008972777u}, {4566814905495150320u, 1252605225005607986u}, {14931890668723713708u, 1565756531257009982u}, {9441491299049866327u, 1957195664071262478u}, {1289246043478778550u, 1223247290044539049u}, {6223243572775861092u, 1529059112555673811u}, {3167368447542438461u, 1911323890694592264u}, {1979605279714024038u, 1194577431684120165u}, {7086192618069917952u, 1493221789605150206u}, {18081112809442173248u, 1866527237006437757u}, {13606538515115052232u, 1166579523129023598u}, {7784801107039039482u, 1458224403911279498u}, {507629346944023544u, 1822780504889099373u}, {5246222702107417334u, 2278475631111374216u}, {3278889188817135834u, 1424047269444608885u}, {8710297504448807696u, 1780059086805761106u}}; +} // namespace fast_io::details::ryu From 8d90ec767e571b2dd85462a39f6c99836b9d6edf Mon Sep 17 00:00:00 2001 From: trcrsired Date: Tue, 27 Aug 2024 00:10:11 -0400 Subject: [PATCH 25/26] iso8601 add fix --- include/fast_io_core_impl/iso/iso8601.h | 8 ++++---- 1 file changed, 4 insertions(+), 4 deletions(-) diff --git a/include/fast_io_core_impl/iso/iso8601.h b/include/fast_io_core_impl/iso/iso8601.h index 7335a0f49..2c0fdc3dc 100644 --- a/include/fast_io_core_impl/iso/iso8601.h +++ b/include/fast_io_core_impl/iso/iso8601.h @@ -59,10 +59,10 @@ inline constexpr timestamp_u add_impl(::std::uint_least64_t aseconds, ::std::uin { bool carry{}; ::std::uint_least64_t res{::fast_io::intrinsics::addc(asubseconds, bsubseconds, carry, carry)}; - bool carry2{}; - ::fast_io::intrinsics::subc(res, ::fast_io::uint_least64_subseconds_per_second, carry2, carry2); - res += (static_cast<::std::uint_least64_t>(0u - static_cast<::std::uint_least64_t>(carry2)) & ::fast_io::uint_least64_subseconds_per_second); - return {::fast_io::intrinsics::addc(aseconds, bseconds, carry | carry2, carry), res}; + carry|=(::fast_io::uint_least64_subseconds_per_second<=res); + res-=carry?::fast_io::uint_least64_subseconds_per_second:0; + ::std::uint_least64_t secs{::fast_io::intrinsics::addc(aseconds, bseconds, carry, carry)}; + return {secs, res}; } inline constexpr timestamp_u sub_impl(::std::uint_least64_t aseconds, ::std::uint_least64_t asubseconds, ::std::uint_least64_t bseconds, ::std::uint_least64_t bsubseconds) noexcept From eb1bdd124fe1b981ad68f308e8f3c4949851f8fa Mon Sep 17 00:00:00 2001 From: trcrsired Date: Tue, 27 Aug 2024 00:29:39 -0400 Subject: [PATCH 26/26] const --- include/fast_io_core_impl/iso/iso8601.h | 2 +- 1 file changed, 1 insertion(+), 1 deletion(-) diff --git a/include/fast_io_core_impl/iso/iso8601.h b/include/fast_io_core_impl/iso/iso8601.h index 2c0fdc3dc..61949e707 100644 --- a/include/fast_io_core_impl/iso/iso8601.h +++ b/include/fast_io_core_impl/iso/iso8601.h @@ -18,7 +18,7 @@ struct basic_timestamp } template <::std::floating_point flt_type> - explicit constexpr operator flt_type() noexcept + explicit constexpr operator flt_type() const noexcept { // I know this is not accurate. but it is better than nothing constexpr flt_type precision{static_cast(::fast_io::uint_least64_subseconds_per_second)};