format-inl.h

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// Formatting library for C++ - implementation
//
// Copyright (c) 2012 - 2016, Victor Zverovich
// All rights reserved.
//
// For the license information refer to format.h.
 
#ifndef FMT_FORMAT_INL_H_
#define FMT_FORMAT_INL_H_
 
#include <algorithm>
#include <cctype>
#include <cerrno> // errno
#include <climits>
#include <cmath>
#include <cstdarg>
#include <cstring> // std::memmove
#include <cwchar>
#include <exception>
 
#ifndef FMT_STATIC_THOUSANDS_SEPARATOR
#include <locale>
#endif
 
#ifdef _WIN32
#include <io.h> // _isatty
#endif
 
#include "format.h"
 
FMT_BEGIN_NAMESPACE
namespace detail
{
 
    FMT_FUNC void assert_fail(const char* file, int line, const char* message)
    {
        // Use unchecked std::fprintf to avoid triggering another assertion when
        // writing to stderr fails
        std::fprintf(stderr, "%s:%d: assertion failed: %s", file, line, message);
        // Chosen instead of std::abort to satisfy Clang in CUDA mode during device
        // code pass.
        std::terminate();
    }
 
    FMT_FUNC void throw_format_error(const char* message)
    {
        FMT_THROW(format_error(message));
    }
 
    FMT_FUNC void format_error_code(detail::buffer<char>& out, int error_code, string_view message) noexcept
    {
        // Report error code making sure that the output fits into
        // inline_buffer_size to avoid dynamic memory allocation and potential
        // bad_alloc.
        out.try_resize(0);
        static const char SEP[]       = ": ";
        static const char ERROR_STR[] = "error ";
        // Subtract 2 to account for terminating null characters in SEP and ERROR_STR.
        size_t error_code_size = sizeof(SEP) + sizeof(ERROR_STR) - 2;
        auto   abs_value       = static_cast<uint32_or_64_or_128_t<int>>(error_code);
        if (detail::is_negative(error_code))
        {
            abs_value = 0 - abs_value;
            ++error_code_size;
        }
        error_code_size += detail::to_unsigned(detail::count_digits(abs_value));
        auto it = buffer_appender<char>(out);
        if (message.size() <= inline_buffer_size - error_code_size)
            format_to(it, FMT_STRING("{}{}"), message, SEP);
        format_to(it, FMT_STRING("{}{}"), ERROR_STR, error_code);
        FMT_ASSERT(out.size() <= inline_buffer_size, "");
    }
 
    FMT_FUNC void report_error(format_func func, int error_code, const char* message) noexcept
    {
        memory_buffer full_message;
        func(full_message, error_code, message);
        // Don't use fwrite_fully because the latter may throw.
        if (std::fwrite(full_message.data(), full_message.size(), 1, stderr) > 0)
            std::fputc('\n', stderr);
    }
 
    // A wrapper around fwrite that throws on error.
    inline void fwrite_fully(const void* ptr, size_t size, size_t count, FILE* stream)
    {
        size_t written = std::fwrite(ptr, size, count, stream);
        if (written < count)
            FMT_THROW(system_error(errno, FMT_STRING("cannot write to file")));
    }
 
#ifndef FMT_STATIC_THOUSANDS_SEPARATOR
    template <typename Locale>
    locale_ref::locale_ref(const Locale& loc)
        : locale_(&loc)
    {
        static_assert(std::is_same<Locale, std::locale>::value, "");
    }
 
    template <typename Locale>
    Locale locale_ref::get() const
    {
        static_assert(std::is_same<Locale, std::locale>::value, "");
        return locale_ ? *static_cast<const std::locale*>(locale_) : std::locale();
    }
 
    template <typename Char>
    FMT_FUNC auto thousands_sep_impl(locale_ref loc) -> thousands_sep_result<Char>
    {
        auto& facet         = std::use_facet<std::numpunct<Char>>(loc.get<std::locale>());
        auto  grouping      = facet.grouping();
        auto  thousands_sep = grouping.empty() ? Char() : facet.thousands_sep();
        return {std::move(grouping), thousands_sep};
    }
    template <typename Char>
    FMT_FUNC Char decimal_point_impl(locale_ref loc)
    {
        return std::use_facet<std::numpunct<Char>>(loc.get<std::locale>())
            .decimal_point();
    }
#else
    template <typename Char>
    FMT_FUNC auto thousands_sep_impl(locale_ref) -> thousands_sep_result<Char>
    {
        return {"\03", FMT_STATIC_THOUSANDS_SEPARATOR};
    }
    template <typename Char>
    FMT_FUNC Char decimal_point_impl(locale_ref)
    {
        return '.';
    }
#endif
} // namespace detail
 
#if !FMT_MSC_VERSION
FMT_API FMT_FUNC format_error::~format_error() noexcept = default;
#endif
 
FMT_FUNC std::system_error vsystem_error(int error_code, string_view format_str, format_args args)
{
    auto ec = std::error_code(error_code, std::generic_category());
    return std::system_error(ec, vformat(format_str, args));
}
 
namespace detail
{
 
    template <typename F>
    inline bool operator==(basic_fp<F> x, basic_fp<F> y)
    {
        return x.f == y.f && x.e == y.e;
    }
 
    // Compilers should be able to optimize this into the ror instruction.
    FMT_CONSTEXPR inline uint32_t rotr(uint32_t n, uint32_t r) noexcept
    {
        r &= 31;
        return (n >> r) | (n << (32 - r));
    }
    FMT_CONSTEXPR inline uint64_t rotr(uint64_t n, uint32_t r) noexcept
    {
        r &= 63;
        return (n >> r) | (n << (64 - r));
    }
 
    // Computes 128-bit result of multiplication of two 64-bit unsigned integers.
    inline uint128_fallback umul128(uint64_t x, uint64_t y) noexcept
    {
#if FMT_USE_INT128
        auto p = static_cast<uint128_opt>(x) * static_cast<uint128_opt>(y);
        return {static_cast<uint64_t>(p >> 64), static_cast<uint64_t>(p)};
#elif defined(_MSC_VER) && defined(_M_X64)
        auto result = uint128_fallback();
        result.lo_  = _umul128(x, y, &result.hi_);
        return result;
#else
        const uint64_t mask = static_cast<uint64_t>(max_value<uint32_t>());
 
        uint64_t a = x >> 32;
        uint64_t b = x & mask;
        uint64_t c = y >> 32;
        uint64_t d = y & mask;
 
        uint64_t ac = a * c;
        uint64_t bc = b * c;
        uint64_t ad = a * d;
        uint64_t bd = b * d;
 
        uint64_t intermediate = (bd >> 32) + (ad & mask) + (bc & mask);
 
        return {ac + (intermediate >> 32) + (ad >> 32) + (bc >> 32),
                (intermediate << 32) + (bd & mask)};
#endif
    }
 
    // Implementation of Dragonbox algorithm: https://github.com/jk-jeon/dragonbox.
    namespace dragonbox
    {
        // Computes upper 64 bits of multiplication of two 64-bit unsigned integers.
        inline uint64_t umul128_upper64(uint64_t x, uint64_t y) noexcept
        {
#if FMT_USE_INT128
            auto p = static_cast<uint128_opt>(x) * static_cast<uint128_opt>(y);
            return static_cast<uint64_t>(p >> 64);
#elif defined(_MSC_VER) && defined(_M_X64)
            return __umulh(x, y);
#else
            return umul128(x, y).high();
#endif
        }
 
        // Computes upper 128 bits of multiplication of a 64-bit unsigned integer and a
        // 128-bit unsigned integer.
        inline uint128_fallback umul192_upper128(uint64_t         x,
                                                 uint128_fallback y) noexcept
        {
            uint128_fallback r = umul128(x, y.high());
            r += umul128_upper64(x, y.low());
            return r;
        }
 
        // Computes upper 64 bits of multiplication of a 32-bit unsigned integer and a
        // 64-bit unsigned integer.
        inline uint64_t umul96_upper64(uint32_t x, uint64_t y) noexcept
        {
            return umul128_upper64(static_cast<uint64_t>(x) << 32, y);
        }
 
        // Computes lower 128 bits of multiplication of a 64-bit unsigned integer and a
        // 128-bit unsigned integer.
        inline uint128_fallback umul192_lower128(uint64_t         x,
                                                 uint128_fallback y) noexcept
        {
            uint64_t         high     = x * y.high();
            uint128_fallback high_low = umul128(x, y.low());
            return {high + high_low.high(), high_low.low()};
        }
 
        // Computes lower 64 bits of multiplication of a 32-bit unsigned integer and a
        // 64-bit unsigned integer.
        inline uint64_t umul96_lower64(uint32_t x, uint64_t y) noexcept
        {
            return x * y;
        }
 
        // Computes floor(log10(pow(2, e))) for e in [-2620, 2620] using the method from
        // https://fmt.dev/papers/Dragonbox.pdf#page=28, section 6.1.
        inline int floor_log10_pow2(int e) noexcept
        {
            FMT_ASSERT(e <= 2620 && e >= -2620, "too large exponent");
            static_assert((-1 >> 1) == -1, "right shift is not arithmetic");
            return (e * 315653) >> 20;
        }
 
        // Various fast log computations.
        inline int floor_log2_pow10(int e) noexcept
        {
            FMT_ASSERT(e <= 1233 && e >= -1233, "too large exponent");
            return (e * 1741647) >> 19;
        }
        inline int floor_log10_pow2_minus_log10_4_over_3(int e) noexcept
        {
            FMT_ASSERT(e <= 2936 && e >= -2985, "too large exponent");
            return (e * 631305 - 261663) >> 21;
        }
 
        static constexpr struct
        {
            uint32_t divisor;
            int      shift_amount;
        } div_small_pow10_infos[] = {{10, 16}, {100, 16}};
 
        // Replaces n by floor(n / pow(10, N)) returning true if and only if n is
        // divisible by pow(10, N).
        // Precondition: n <= pow(10, N + 1).
        template <int N>
        bool check_divisibility_and_divide_by_pow10(uint32_t& n) noexcept
        {
            // The numbers below are chosen such that:
            //   1. floor(n/d) = floor(nm / 2^k) where d=10 or d=100,
            //   2. nm mod 2^k < m if and only if n is divisible by d,
            // where m is magic_number, k is shift_amount
            // and d is divisor.
            //
            // Item 1 is a common technique of replacing division by a constant with
            // multiplication, see e.g. "Division by Invariant Integers Using
            // Multiplication" by Granlund and Montgomery (1994). magic_number (m) is set
            // to ceil(2^k/d) for large enough k.
            // The idea for item 2 originates from Schubfach.
            constexpr auto info = div_small_pow10_infos[N - 1];
            FMT_ASSERT(n <= info.divisor * 10, "n is too large");
            constexpr uint32_t magic_number =
                (1u << info.shift_amount) / info.divisor + 1;
            n *= magic_number;
            const uint32_t comparison_mask = (1u << info.shift_amount) - 1;
            bool           result          = (n & comparison_mask) < magic_number;
            n >>= info.shift_amount;
            return result;
        }
 
        // Computes floor(n / pow(10, N)) for small n and N.
        // Precondition: n <= pow(10, N + 1).
        template <int N>
        uint32_t small_division_by_pow10(uint32_t n) noexcept
        {
            constexpr auto info = div_small_pow10_infos[N - 1];
            FMT_ASSERT(n <= info.divisor * 10, "n is too large");
            constexpr uint32_t magic_number =
                (1u << info.shift_amount) / info.divisor + 1;
            return (n * magic_number) >> info.shift_amount;
        }
 
        // Computes floor(n / 10^(kappa + 1)) (float)
        inline uint32_t divide_by_10_to_kappa_plus_1(uint32_t n) noexcept
        {
            // 1374389535 = ceil(2^37/100)
            return static_cast<uint32_t>((static_cast<uint64_t>(n) * 1374389535) >> 37);
        }
        // Computes floor(n / 10^(kappa + 1)) (double)
        inline uint64_t divide_by_10_to_kappa_plus_1(uint64_t n) noexcept
        {
            // 2361183241434822607 = ceil(2^(64+7)/1000)
            return umul128_upper64(n, 2361183241434822607ull) >> 7;
        }
 
        // Various subroutines using pow10 cache
        template <class T>
        struct cache_accessor;
 
        template <>
        struct cache_accessor<float>
        {
            using carrier_uint     = float_info<float>::carrier_uint;
            using cache_entry_type = uint64_t;
 
            static uint64_t get_cached_power(int k) noexcept
            {
                FMT_ASSERT(k >= float_info<float>::min_k && k <= float_info<float>::max_k,
                           "k is out of range");
                static constexpr const uint64_t pow10_significands[] = {
                    0x81ceb32c4b43fcf5, 0xa2425ff75e14fc32, 0xcad2f7f5359a3b3f,
                    0xfd87b5f28300ca0e, 0x9e74d1b791e07e49, 0xc612062576589ddb,
                    0xf79687aed3eec552, 0x9abe14cd44753b53, 0xc16d9a0095928a28,
                    0xf1c90080baf72cb2, 0x971da05074da7bef, 0xbce5086492111aeb,
                    0xec1e4a7db69561a6, 0x9392ee8e921d5d08, 0xb877aa3236a4b44a,
                    0xe69594bec44de15c, 0x901d7cf73ab0acda, 0xb424dc35095cd810,
                    0xe12e13424bb40e14, 0x8cbccc096f5088cc, 0xafebff0bcb24aaff,
                    0xdbe6fecebdedd5bf, 0x89705f4136b4a598, 0xabcc77118461cefd,
                    0xd6bf94d5e57a42bd, 0x8637bd05af6c69b6, 0xa7c5ac471b478424,
                    0xd1b71758e219652c, 0x83126e978d4fdf3c, 0xa3d70a3d70a3d70b,
                    0xcccccccccccccccd, 0x8000000000000000, 0xa000000000000000,
                    0xc800000000000000, 0xfa00000000000000, 0x9c40000000000000,
                    0xc350000000000000, 0xf424000000000000, 0x9896800000000000,
                    0xbebc200000000000, 0xee6b280000000000, 0x9502f90000000000,
                    0xba43b74000000000, 0xe8d4a51000000000, 0x9184e72a00000000,
                    0xb5e620f480000000, 0xe35fa931a0000000, 0x8e1bc9bf04000000,
                    0xb1a2bc2ec5000000, 0xde0b6b3a76400000, 0x8ac7230489e80000,
                    0xad78ebc5ac620000, 0xd8d726b7177a8000, 0x878678326eac9000,
                    0xa968163f0a57b400, 0xd3c21bcecceda100, 0x84595161401484a0,
                    0xa56fa5b99019a5c8, 0xcecb8f27f4200f3a, 0x813f3978f8940985,
                    0xa18f07d736b90be6, 0xc9f2c9cd04674edf, 0xfc6f7c4045812297,
                    0x9dc5ada82b70b59e, 0xc5371912364ce306, 0xf684df56c3e01bc7,
                    0x9a130b963a6c115d, 0xc097ce7bc90715b4, 0xf0bdc21abb48db21,
                    0x96769950b50d88f5, 0xbc143fa4e250eb32, 0xeb194f8e1ae525fe,
                    0x92efd1b8d0cf37bf, 0xb7abc627050305ae, 0xe596b7b0c643c71a,
                    0x8f7e32ce7bea5c70, 0xb35dbf821ae4f38c, 0xe0352f62a19e306f};
                return pow10_significands[k - float_info<float>::min_k];
            }
 
            struct compute_mul_result
            {
                carrier_uint result;
                bool         is_integer;
            };
            struct compute_mul_parity_result
            {
                bool parity;
                bool is_integer;
            };
 
            static compute_mul_result compute_mul(
                carrier_uint u, const cache_entry_type& cache) noexcept
            {
                auto r = umul96_upper64(u, cache);
                return {static_cast<carrier_uint>(r >> 32),
                        static_cast<carrier_uint>(r) == 0};
            }
 
            static uint32_t compute_delta(const cache_entry_type& cache,
                                          int                     beta) noexcept
            {
                return static_cast<uint32_t>(cache >> (64 - 1 - beta));
            }
 
            static compute_mul_parity_result compute_mul_parity(
                carrier_uint two_f, const cache_entry_type& cache, int beta) noexcept
            {
                FMT_ASSERT(beta >= 1, "");
                FMT_ASSERT(beta < 64, "");
 
                auto r = umul96_lower64(two_f, cache);
                return {((r >> (64 - beta)) & 1) != 0,
                        static_cast<uint32_t>(r >> (32 - beta)) == 0};
            }
 
            static carrier_uint compute_left_endpoint_for_shorter_interval_case(
                const cache_entry_type& cache, int beta) noexcept
            {
                return static_cast<carrier_uint>(
                    (cache - (cache >> (num_significand_bits<float>() + 2))) >>
                    (64 - num_significand_bits<float>() - 1 - beta));
            }
 
            static carrier_uint compute_right_endpoint_for_shorter_interval_case(
                const cache_entry_type& cache, int beta) noexcept
            {
                return static_cast<carrier_uint>(
                    (cache + (cache >> (num_significand_bits<float>() + 1))) >>
                    (64 - num_significand_bits<float>() - 1 - beta));
            }
 
            static carrier_uint compute_round_up_for_shorter_interval_case(
                const cache_entry_type& cache, int beta) noexcept
            {
                return (static_cast<carrier_uint>(
                            cache >> (64 - num_significand_bits<float>() - 2 - beta)) +
                        1) /
                       2;
            }
        };
 
        template <>
        struct cache_accessor<double>
        {
            using carrier_uint     = float_info<double>::carrier_uint;
            using cache_entry_type = uint128_fallback;
 
            static uint128_fallback get_cached_power(int k) noexcept
            {
                FMT_ASSERT(k >= float_info<double>::min_k && k <= float_info<double>::max_k,
                           "k is out of range");
 
                static constexpr const uint128_fallback pow10_significands[] = {
#if FMT_USE_FULL_CACHE_DRAGONBOX
                    {0xff77b1fcbebcdc4f, 0x25e8e89c13bb0f7b},
                    {0x9faacf3df73609b1, 0x77b191618c54e9ad},
                    {0xc795830d75038c1d, 0xd59df5b9ef6a2418},
                    {0xf97ae3d0d2446f25, 0x4b0573286b44ad1e},
                    {0x9becce62836ac577, 0x4ee367f9430aec33},
                    {0xc2e801fb244576d5, 0x229c41f793cda740},
                    {0xf3a20279ed56d48a, 0x6b43527578c11110},
                    {0x9845418c345644d6, 0x830a13896b78aaaa},
                    {0xbe5691ef416bd60c, 0x23cc986bc656d554},
                    {0xedec366b11c6cb8f, 0x2cbfbe86b7ec8aa9},
                    {0x94b3a202eb1c3f39, 0x7bf7d71432f3d6aa},
                    {0xb9e08a83a5e34f07, 0xdaf5ccd93fb0cc54},
                    {0xe858ad248f5c22c9, 0xd1b3400f8f9cff69},
                    {0x91376c36d99995be, 0x23100809b9c21fa2},
                    {0xb58547448ffffb2d, 0xabd40a0c2832a78b},
                    {0xe2e69915b3fff9f9, 0x16c90c8f323f516d},
                    {0x8dd01fad907ffc3b, 0xae3da7d97f6792e4},
                    {0xb1442798f49ffb4a, 0x99cd11cfdf41779d},
                    {0xdd95317f31c7fa1d, 0x40405643d711d584},
                    {0x8a7d3eef7f1cfc52, 0x482835ea666b2573},
                    {0xad1c8eab5ee43b66, 0xda3243650005eed0},
                    {0xd863b256369d4a40, 0x90bed43e40076a83},
                    {0x873e4f75e2224e68, 0x5a7744a6e804a292},
                    {0xa90de3535aaae202, 0x711515d0a205cb37},
                    {0xd3515c2831559a83, 0x0d5a5b44ca873e04},
                    {0x8412d9991ed58091, 0xe858790afe9486c3},
                    {0xa5178fff668ae0b6, 0x626e974dbe39a873},
                    {0xce5d73ff402d98e3, 0xfb0a3d212dc81290},
                    {0x80fa687f881c7f8e, 0x7ce66634bc9d0b9a},
                    {0xa139029f6a239f72, 0x1c1fffc1ebc44e81},
                    {0xc987434744ac874e, 0xa327ffb266b56221},
                    {0xfbe9141915d7a922, 0x4bf1ff9f0062baa9},
                    {0x9d71ac8fada6c9b5, 0x6f773fc3603db4aa},
                    {0xc4ce17b399107c22, 0xcb550fb4384d21d4},
                    {0xf6019da07f549b2b, 0x7e2a53a146606a49},
                    {0x99c102844f94e0fb, 0x2eda7444cbfc426e},
                    {0xc0314325637a1939, 0xfa911155fefb5309},
                    {0xf03d93eebc589f88, 0x793555ab7eba27cb},
                    {0x96267c7535b763b5, 0x4bc1558b2f3458df},
                    {0xbbb01b9283253ca2, 0x9eb1aaedfb016f17},
                    {0xea9c227723ee8bcb, 0x465e15a979c1cadd},
                    {0x92a1958a7675175f, 0x0bfacd89ec191eca},
                    {0xb749faed14125d36, 0xcef980ec671f667c},
                    {0xe51c79a85916f484, 0x82b7e12780e7401b},
                    {0x8f31cc0937ae58d2, 0xd1b2ecb8b0908811},
                    {0xb2fe3f0b8599ef07, 0x861fa7e6dcb4aa16},
                    {0xdfbdcece67006ac9, 0x67a791e093e1d49b},
                    {0x8bd6a141006042bd, 0xe0c8bb2c5c6d24e1},
                    {0xaecc49914078536d, 0x58fae9f773886e19},
                    {0xda7f5bf590966848, 0xaf39a475506a899f},
                    {0x888f99797a5e012d, 0x6d8406c952429604},
                    {0xaab37fd7d8f58178, 0xc8e5087ba6d33b84},
                    {0xd5605fcdcf32e1d6, 0xfb1e4a9a90880a65},
                    {0x855c3be0a17fcd26, 0x5cf2eea09a550680},
                    {0xa6b34ad8c9dfc06f, 0xf42faa48c0ea481f},
                    {0xd0601d8efc57b08b, 0xf13b94daf124da27},
                    {0x823c12795db6ce57, 0x76c53d08d6b70859},
                    {0xa2cb1717b52481ed, 0x54768c4b0c64ca6f},
                    {0xcb7ddcdda26da268, 0xa9942f5dcf7dfd0a},
                    {0xfe5d54150b090b02, 0xd3f93b35435d7c4d},
                    {0x9efa548d26e5a6e1, 0xc47bc5014a1a6db0},
                    {0xc6b8e9b0709f109a, 0x359ab6419ca1091c},
                    {0xf867241c8cc6d4c0, 0xc30163d203c94b63},
                    {0x9b407691d7fc44f8, 0x79e0de63425dcf1e},
                    {0xc21094364dfb5636, 0x985915fc12f542e5},
                    {0xf294b943e17a2bc4, 0x3e6f5b7b17b2939e},
                    {0x979cf3ca6cec5b5a, 0xa705992ceecf9c43},
                    {0xbd8430bd08277231, 0x50c6ff782a838354},
                    {0xece53cec4a314ebd, 0xa4f8bf5635246429},
                    {0x940f4613ae5ed136, 0x871b7795e136be9a},
                    {0xb913179899f68584, 0x28e2557b59846e40},
                    {0xe757dd7ec07426e5, 0x331aeada2fe589d0},
                    {0x9096ea6f3848984f, 0x3ff0d2c85def7622},
                    {0xb4bca50b065abe63, 0x0fed077a756b53aa},
                    {0xe1ebce4dc7f16dfb, 0xd3e8495912c62895},
                    {0x8d3360f09cf6e4bd, 0x64712dd7abbbd95d},
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                    {0xacb92ed9397bf996, 0x49c2c37f07965405},
                    {0xd7e77a8f87daf7fb, 0xdc33745ec97be907},
                    {0x86f0ac99b4e8dafd, 0x69a028bb3ded71a4},
                    {0xa8acd7c0222311bc, 0xc40832ea0d68ce0d},
                    {0xd2d80db02aabd62b, 0xf50a3fa490c30191},
                    {0x83c7088e1aab65db, 0x792667c6da79e0fb},
                    {0xa4b8cab1a1563f52, 0x577001b891185939},
                    {0xcde6fd5e09abcf26, 0xed4c0226b55e6f87},
                    {0x80b05e5ac60b6178, 0x544f8158315b05b5},
                    {0xa0dc75f1778e39d6, 0x696361ae3db1c722},
                    {0xc913936dd571c84c, 0x03bc3a19cd1e38ea},
                    {0xfb5878494ace3a5f, 0x04ab48a04065c724},
                    {0x9d174b2dcec0e47b, 0x62eb0d64283f9c77},
                    {0xc45d1df942711d9a, 0x3ba5d0bd324f8395},
                    {0xf5746577930d6500, 0xca8f44ec7ee3647a},
                    {0x9968bf6abbe85f20, 0x7e998b13cf4e1ecc},
                    {0xbfc2ef456ae276e8, 0x9e3fedd8c321a67f},
                    {0xefb3ab16c59b14a2, 0xc5cfe94ef3ea101f},
                    {0x95d04aee3b80ece5, 0xbba1f1d158724a13},
                    {0xbb445da9ca61281f, 0x2a8a6e45ae8edc98},
                    {0xea1575143cf97226, 0xf52d09d71a3293be},
                    {0x924d692ca61be758, 0x593c2626705f9c57},
                    {0xb6e0c377cfa2e12e, 0x6f8b2fb00c77836d},
                    {0xe498f455c38b997a, 0x0b6dfb9c0f956448},
                    {0x8edf98b59a373fec, 0x4724bd4189bd5ead},
                    {0xb2977ee300c50fe7, 0x58edec91ec2cb658},
                    {0xdf3d5e9bc0f653e1, 0x2f2967b66737e3ee},
                    {0x8b865b215899f46c, 0xbd79e0d20082ee75},
                    {0xae67f1e9aec07187, 0xecd8590680a3aa12},
                    {0xda01ee641a708de9, 0xe80e6f4820cc9496},
                    {0x884134fe908658b2, 0x3109058d147fdcde},
                    {0xaa51823e34a7eede, 0xbd4b46f0599fd416},
                    {0xd4e5e2cdc1d1ea96, 0x6c9e18ac7007c91b},
                    {0x850fadc09923329e, 0x03e2cf6bc604ddb1},
                    {0xa6539930bf6bff45, 0x84db8346b786151d},
                    {0xcfe87f7cef46ff16, 0xe612641865679a64},
                    {0x81f14fae158c5f6e, 0x4fcb7e8f3f60c07f},
                    {0xa26da3999aef7749, 0xe3be5e330f38f09e},
                    {0xcb090c8001ab551c, 0x5cadf5bfd3072cc6},
                    {0xfdcb4fa002162a63, 0x73d9732fc7c8f7f7},
                    {0x9e9f11c4014dda7e, 0x2867e7fddcdd9afb},
                    {0xc646d63501a1511d, 0xb281e1fd541501b9},
                    {0xf7d88bc24209a565, 0x1f225a7ca91a4227},
                    {0x9ae757596946075f, 0x3375788de9b06959},
                    {0xc1a12d2fc3978937, 0x0052d6b1641c83af},
                    {0xf209787bb47d6b84, 0xc0678c5dbd23a49b},
                    {0x9745eb4d50ce6332, 0xf840b7ba963646e1},
                    {0xbd176620a501fbff, 0xb650e5a93bc3d899},
                    {0xec5d3fa8ce427aff, 0xa3e51f138ab4cebf},
                    {0x93ba47c980e98cdf, 0xc66f336c36b10138},
                    {0xb8a8d9bbe123f017, 0xb80b0047445d4185},
                    {0xe6d3102ad96cec1d, 0xa60dc059157491e6},
                    {0x9043ea1ac7e41392, 0x87c89837ad68db30},
                    {0xb454e4a179dd1877, 0x29babe4598c311fc},
                    {0xe16a1dc9d8545e94, 0xf4296dd6fef3d67b},
                    {0x8ce2529e2734bb1d, 0x1899e4a65f58660d},
                    {0xb01ae745b101e9e4, 0x5ec05dcff72e7f90},
                    {0xdc21a1171d42645d, 0x76707543f4fa1f74},
                    {0x899504ae72497eba, 0x6a06494a791c53a9},
                    {0xabfa45da0edbde69, 0x0487db9d17636893},
                    {0xd6f8d7509292d603, 0x45a9d2845d3c42b7},
                    {0x865b86925b9bc5c2, 0x0b8a2392ba45a9b3},
                    {0xa7f26836f282b732, 0x8e6cac7768d7141f},
                    {0xd1ef0244af2364ff, 0x3207d795430cd927},
                    {0x8335616aed761f1f, 0x7f44e6bd49e807b9},
                    {0xa402b9c5a8d3a6e7, 0x5f16206c9c6209a7},
                    {0xcd036837130890a1, 0x36dba887c37a8c10},
                    {0x802221226be55a64, 0xc2494954da2c978a},
                    {0xa02aa96b06deb0fd, 0xf2db9baa10b7bd6d},
                    {0xc83553c5c8965d3d, 0x6f92829494e5acc8},
                    {0xfa42a8b73abbf48c, 0xcb772339ba1f17fa},
                    {0x9c69a97284b578d7, 0xff2a760414536efc},
                    {0xc38413cf25e2d70d, 0xfef5138519684abb},
                    {0xf46518c2ef5b8cd1, 0x7eb258665fc25d6a},
                    {0x98bf2f79d5993802, 0xef2f773ffbd97a62},
                    {0xbeeefb584aff8603, 0xaafb550ffacfd8fb},
                    {0xeeaaba2e5dbf6784, 0x95ba2a53f983cf39},
                    {0x952ab45cfa97a0b2, 0xdd945a747bf26184},
                    {0xba756174393d88df, 0x94f971119aeef9e5},
                    {0xe912b9d1478ceb17, 0x7a37cd5601aab85e},
                    {0x91abb422ccb812ee, 0xac62e055c10ab33b},
                    {0xb616a12b7fe617aa, 0x577b986b314d600a},
                    {0xe39c49765fdf9d94, 0xed5a7e85fda0b80c},
                    {0x8e41ade9fbebc27d, 0x14588f13be847308},
                    {0xb1d219647ae6b31c, 0x596eb2d8ae258fc9},
                    {0xde469fbd99a05fe3, 0x6fca5f8ed9aef3bc},
                    {0x8aec23d680043bee, 0x25de7bb9480d5855},
                    {0xada72ccc20054ae9, 0xaf561aa79a10ae6b},
                    {0xd910f7ff28069da4, 0x1b2ba1518094da05},
                    {0x87aa9aff79042286, 0x90fb44d2f05d0843},
                    {0xa99541bf57452b28, 0x353a1607ac744a54},
                    {0xd3fa922f2d1675f2, 0x42889b8997915ce9},
                    {0x847c9b5d7c2e09b7, 0x69956135febada12},
                    {0xa59bc234db398c25, 0x43fab9837e699096},
                    {0xcf02b2c21207ef2e, 0x94f967e45e03f4bc},
                    {0x8161afb94b44f57d, 0x1d1be0eebac278f6},
                    {0xa1ba1ba79e1632dc, 0x6462d92a69731733},
                    {0xca28a291859bbf93, 0x7d7b8f7503cfdcff},
                    {0xfcb2cb35e702af78, 0x5cda735244c3d43f},
                    {0x9defbf01b061adab, 0x3a0888136afa64a8},
                    {0xc56baec21c7a1916, 0x088aaa1845b8fdd1},
                    {0xf6c69a72a3989f5b, 0x8aad549e57273d46},
                    {0x9a3c2087a63f6399, 0x36ac54e2f678864c},
                    {0xc0cb28a98fcf3c7f, 0x84576a1bb416a7de},
                    {0xf0fdf2d3f3c30b9f, 0x656d44a2a11c51d6},
                    {0x969eb7c47859e743, 0x9f644ae5a4b1b326},
                    {0xbc4665b596706114, 0x873d5d9f0dde1fef},
                    {0xeb57ff22fc0c7959, 0xa90cb506d155a7eb},
                    {0x9316ff75dd87cbd8, 0x09a7f12442d588f3},
                    {0xb7dcbf5354e9bece, 0x0c11ed6d538aeb30},
                    {0xe5d3ef282a242e81, 0x8f1668c8a86da5fb},
                    {0x8fa475791a569d10, 0xf96e017d694487bd},
                    {0xb38d92d760ec4455, 0x37c981dcc395a9ad},
                    {0xe070f78d3927556a, 0x85bbe253f47b1418},
                    {0x8c469ab843b89562, 0x93956d7478ccec8f},
                    {0xaf58416654a6babb, 0x387ac8d1970027b3},
                    {0xdb2e51bfe9d0696a, 0x06997b05fcc0319f},
                    {0x88fcf317f22241e2, 0x441fece3bdf81f04},
                    {0xab3c2fddeeaad25a, 0xd527e81cad7626c4},
                    {0xd60b3bd56a5586f1, 0x8a71e223d8d3b075},
                    {0x85c7056562757456, 0xf6872d5667844e4a},
                    {0xa738c6bebb12d16c, 0xb428f8ac016561dc},
                    {0xd106f86e69d785c7, 0xe13336d701beba53},
                    {0x82a45b450226b39c, 0xecc0024661173474},
                    {0xa34d721642b06084, 0x27f002d7f95d0191},
                    {0xcc20ce9bd35c78a5, 0x31ec038df7b441f5},
                    {0xff290242c83396ce, 0x7e67047175a15272},
                    {0x9f79a169bd203e41, 0x0f0062c6e984d387},
                    {0xc75809c42c684dd1, 0x52c07b78a3e60869},
                    {0xf92e0c3537826145, 0xa7709a56ccdf8a83},
                    {0x9bbcc7a142b17ccb, 0x88a66076400bb692},
                    {0xc2abf989935ddbfe, 0x6acff893d00ea436},
                    {0xf356f7ebf83552fe, 0x0583f6b8c4124d44},
                    {0x98165af37b2153de, 0xc3727a337a8b704b},
                    {0xbe1bf1b059e9a8d6, 0x744f18c0592e4c5d},
                    {0xeda2ee1c7064130c, 0x1162def06f79df74},
                    {0x9485d4d1c63e8be7, 0x8addcb5645ac2ba9},
                    {0xb9a74a0637ce2ee1, 0x6d953e2bd7173693},
                    {0xe8111c87c5c1ba99, 0xc8fa8db6ccdd0438},
                    {0x910ab1d4db9914a0, 0x1d9c9892400a22a3},
                    {0xb54d5e4a127f59c8, 0x2503beb6d00cab4c},
                    {0xe2a0b5dc971f303a, 0x2e44ae64840fd61e},
                    {0x8da471a9de737e24, 0x5ceaecfed289e5d3},
                    {0xb10d8e1456105dad, 0x7425a83e872c5f48},
                    {0xdd50f1996b947518, 0xd12f124e28f7771a},
                    {0x8a5296ffe33cc92f, 0x82bd6b70d99aaa70},
                    {0xace73cbfdc0bfb7b, 0x636cc64d1001550c},
                    {0xd8210befd30efa5a, 0x3c47f7e05401aa4f},
                    {0x8714a775e3e95c78, 0x65acfaec34810a72},
                    {0xa8d9d1535ce3b396, 0x7f1839a741a14d0e},
                    {0xd31045a8341ca07c, 0x1ede48111209a051},
                    {0x83ea2b892091e44d, 0x934aed0aab460433},
                    {0xa4e4b66b68b65d60, 0xf81da84d56178540},
                    {0xce1de40642e3f4b9, 0x36251260ab9d668f},
                    {0x80d2ae83e9ce78f3, 0xc1d72b7c6b42601a},
                    {0xa1075a24e4421730, 0xb24cf65b8612f820},
                    {0xc94930ae1d529cfc, 0xdee033f26797b628},
                    {0xfb9b7cd9a4a7443c, 0x169840ef017da3b2},
                    {0x9d412e0806e88aa5, 0x8e1f289560ee864f},
                    {0xc491798a08a2ad4e, 0xf1a6f2bab92a27e3},
                    {0xf5b5d7ec8acb58a2, 0xae10af696774b1dc},
                    {0x9991a6f3d6bf1765, 0xacca6da1e0a8ef2a},
                    {0xbff610b0cc6edd3f, 0x17fd090a58d32af4},
                    {0xeff394dcff8a948e, 0xddfc4b4cef07f5b1},
                    {0x95f83d0a1fb69cd9, 0x4abdaf101564f98f},
                    {0xbb764c4ca7a4440f, 0x9d6d1ad41abe37f2},
                    {0xea53df5fd18d5513, 0x84c86189216dc5ee},
                    {0x92746b9be2f8552c, 0x32fd3cf5b4e49bb5},
                    {0xb7118682dbb66a77, 0x3fbc8c33221dc2a2},
                    {0xe4d5e82392a40515, 0x0fabaf3feaa5334b},
                    {0x8f05b1163ba6832d, 0x29cb4d87f2a7400f},
                    {0xb2c71d5bca9023f8, 0x743e20e9ef511013},
                    {0xdf78e4b2bd342cf6, 0x914da9246b255417},
                    {0x8bab8eefb6409c1a, 0x1ad089b6c2f7548f},
                    {0xae9672aba3d0c320, 0xa184ac2473b529b2},
                    {0xda3c0f568cc4f3e8, 0xc9e5d72d90a2741f},
                    {0x8865899617fb1871, 0x7e2fa67c7a658893},
                    {0xaa7eebfb9df9de8d, 0xddbb901b98feeab8},
                    {0xd51ea6fa85785631, 0x552a74227f3ea566},
                    {0x8533285c936b35de, 0xd53a88958f872760},
                    {0xa67ff273b8460356, 0x8a892abaf368f138},
                    {0xd01fef10a657842c, 0x2d2b7569b0432d86},
                    {0x8213f56a67f6b29b, 0x9c3b29620e29fc74},
                    {0xa298f2c501f45f42, 0x8349f3ba91b47b90},
                    {0xcb3f2f7642717713, 0x241c70a936219a74},
                    {0xfe0efb53d30dd4d7, 0xed238cd383aa0111},
                    {0x9ec95d1463e8a506, 0xf4363804324a40ab},
                    {0xc67bb4597ce2ce48, 0xb143c6053edcd0d6},
                    {0xf81aa16fdc1b81da, 0xdd94b7868e94050b},
                    {0x9b10a4e5e9913128, 0xca7cf2b4191c8327},
                    {0xc1d4ce1f63f57d72, 0xfd1c2f611f63a3f1},
                    {0xf24a01a73cf2dccf, 0xbc633b39673c8ced},
                    {0x976e41088617ca01, 0xd5be0503e085d814},
                    {0xbd49d14aa79dbc82, 0x4b2d8644d8a74e19},
                    {0xec9c459d51852ba2, 0xddf8e7d60ed1219f},
                    {0x93e1ab8252f33b45, 0xcabb90e5c942b504},
                    {0xb8da1662e7b00a17, 0x3d6a751f3b936244},
                    {0xe7109bfba19c0c9d, 0x0cc512670a783ad5},
                    {0x906a617d450187e2, 0x27fb2b80668b24c6},
                    {0xb484f9dc9641e9da, 0xb1f9f660802dedf7},
                    {0xe1a63853bbd26451, 0x5e7873f8a0396974},
                    {0x8d07e33455637eb2, 0xdb0b487b6423e1e9},
                    {0xb049dc016abc5e5f, 0x91ce1a9a3d2cda63},
                    {0xdc5c5301c56b75f7, 0x7641a140cc7810fc},
                    {0x89b9b3e11b6329ba, 0xa9e904c87fcb0a9e},
                    {0xac2820d9623bf429, 0x546345fa9fbdcd45},
                    {0xd732290fbacaf133, 0xa97c177947ad4096},
                    {0x867f59a9d4bed6c0, 0x49ed8eabcccc485e},
                    {0xa81f301449ee8c70, 0x5c68f256bfff5a75},
                    {0xd226fc195c6a2f8c, 0x73832eec6fff3112},
                    {0x83585d8fd9c25db7, 0xc831fd53c5ff7eac},
                    {0xa42e74f3d032f525, 0xba3e7ca8b77f5e56},
                    {0xcd3a1230c43fb26f, 0x28ce1bd2e55f35ec},
                    {0x80444b5e7aa7cf85, 0x7980d163cf5b81b4},
                    {0xa0555e361951c366, 0xd7e105bcc3326220},
                    {0xc86ab5c39fa63440, 0x8dd9472bf3fefaa8},
                    {0xfa856334878fc150, 0xb14f98f6f0feb952},
                    {0x9c935e00d4b9d8d2, 0x6ed1bf9a569f33d4},
                    {0xc3b8358109e84f07, 0x0a862f80ec4700c9},
                    {0xf4a642e14c6262c8, 0xcd27bb612758c0fb},
                    {0x98e7e9cccfbd7dbd, 0x8038d51cb897789d},
                    {0xbf21e44003acdd2c, 0xe0470a63e6bd56c4},
                    {0xeeea5d5004981478, 0x1858ccfce06cac75},
                    {0x95527a5202df0ccb, 0x0f37801e0c43ebc9},
                    {0xbaa718e68396cffd, 0xd30560258f54e6bb},
                    {0xe950df20247c83fd, 0x47c6b82ef32a206a},
                    {0x91d28b7416cdd27e, 0x4cdc331d57fa5442},
                    {0xb6472e511c81471d, 0xe0133fe4adf8e953},
                    {0xe3d8f9e563a198e5, 0x58180fddd97723a7},
                    {0x8e679c2f5e44ff8f, 0x570f09eaa7ea7649},
                    {0xb201833b35d63f73, 0x2cd2cc6551e513db},
                    {0xde81e40a034bcf4f, 0xf8077f7ea65e58d2},
                    {0x8b112e86420f6191, 0xfb04afaf27faf783},
                    {0xadd57a27d29339f6, 0x79c5db9af1f9b564},
                    {0xd94ad8b1c7380874, 0x18375281ae7822bd},
                    {0x87cec76f1c830548, 0x8f2293910d0b15b6},
                    {0xa9c2794ae3a3c69a, 0xb2eb3875504ddb23},
                    {0xd433179d9c8cb841, 0x5fa60692a46151ec},
                    {0x849feec281d7f328, 0xdbc7c41ba6bcd334},
                    {0xa5c7ea73224deff3, 0x12b9b522906c0801},
                    {0xcf39e50feae16bef, 0xd768226b34870a01},
                    {0x81842f29f2cce375, 0xe6a1158300d46641},
                    {0xa1e53af46f801c53, 0x60495ae3c1097fd1},
                    {0xca5e89b18b602368, 0x385bb19cb14bdfc5},
                    {0xfcf62c1dee382c42, 0x46729e03dd9ed7b6},
                    {0x9e19db92b4e31ba9, 0x6c07a2c26a8346d2},
                    {0xc5a05277621be293, 0xc7098b7305241886},
                    { 0xf70867153aa2db38,
                      0xb8cbee4fc66d1ea8 }
#else
                    {0xff77b1fcbebcdc4f, 0x25e8e89c13bb0f7b},
                    {0xce5d73ff402d98e3, 0xfb0a3d212dc81290},
                    {0xa6b34ad8c9dfc06f, 0xf42faa48c0ea481f},
                    {0x86a8d39ef77164bc, 0xae5dff9c02033198},
                    {0xd98ddaee19068c76, 0x3badd624dd9b0958},
                    {0xafbd2350644eeacf, 0xe5d1929ef90898fb},
                    {0x8df5efabc5979c8f, 0xca8d3ffa1ef463c2},
                    {0xe55990879ddcaabd, 0xcc420a6a101d0516},
                    {0xb94470938fa89bce, 0xf808e40e8d5b3e6a},
                    {0x95a8637627989aad, 0xdde7001379a44aa9},
                    {0xf1c90080baf72cb1, 0x5324c68b12dd6339},
                    {0xc350000000000000, 0x0000000000000000},
                    {0x9dc5ada82b70b59d, 0xf020000000000000},
                    {0xfee50b7025c36a08, 0x02f236d04753d5b5},
                    {0xcde6fd5e09abcf26, 0xed4c0226b55e6f87},
                    {0xa6539930bf6bff45, 0x84db8346b786151d},
                    {0x865b86925b9bc5c2, 0x0b8a2392ba45a9b3},
                    {0xd910f7ff28069da4, 0x1b2ba1518094da05},
                    {0xaf58416654a6babb, 0x387ac8d1970027b3},
                    {0x8da471a9de737e24, 0x5ceaecfed289e5d3},
                    {0xe4d5e82392a40515, 0x0fabaf3feaa5334b},
                    {0xb8da1662e7b00a17, 0x3d6a751f3b936244},
                    { 0x95527a5202df0ccb,
                      0x0f37801e0c43ebc9 }
#endif
                };
 
#if FMT_USE_FULL_CACHE_DRAGONBOX
                return pow10_significands[k - float_info<double>::min_k];
#else
                static constexpr const uint64_t powers_of_5_64[] = {
                    0x0000000000000001, 0x0000000000000005, 0x0000000000000019,
                    0x000000000000007d, 0x0000000000000271, 0x0000000000000c35,
                    0x0000000000003d09, 0x000000000001312d, 0x000000000005f5e1,
                    0x00000000001dcd65, 0x00000000009502f9, 0x0000000002e90edd,
                    0x000000000e8d4a51, 0x0000000048c27395, 0x000000016bcc41e9,
                    0x000000071afd498d, 0x0000002386f26fc1, 0x000000b1a2bc2ec5,
                    0x000003782dace9d9, 0x00001158e460913d, 0x000056bc75e2d631,
                    0x0001b1ae4d6e2ef5, 0x000878678326eac9, 0x002a5a058fc295ed,
                    0x00d3c21bcecceda1, 0x0422ca8b0a00a425, 0x14adf4b7320334b9};
 
                static const int compression_ratio = 27;
 
                // Compute base index.
                int cache_index = (k - float_info<double>::min_k) / compression_ratio;
                int kb          = cache_index * compression_ratio + float_info<double>::min_k;
                int offset      = k - kb;
 
                // Get base cache.
                uint128_fallback base_cache = pow10_significands[cache_index];
                if (offset == 0)
                    return base_cache;
 
                // Compute the required amount of bit-shift.
                int alpha = floor_log2_pow10(kb + offset) - floor_log2_pow10(kb) - offset;
                FMT_ASSERT(alpha > 0 && alpha < 64, "shifting error detected");
 
                // Try to recover the real cache.
                uint64_t         pow5            = powers_of_5_64[offset];
                uint128_fallback recovered_cache = umul128(base_cache.high(), pow5);
                uint128_fallback middle_low      = umul128(base_cache.low(), pow5);
 
                recovered_cache += middle_low.high();
 
                uint64_t high_to_middle = recovered_cache.high() << (64 - alpha);
                uint64_t middle_to_low  = recovered_cache.low() << (64 - alpha);
 
                recovered_cache =
                    uint128_fallback{(recovered_cache.low() >> alpha) | high_to_middle,
                                     ((middle_low.low() >> alpha) | middle_to_low)};
                FMT_ASSERT(recovered_cache.low() + 1 != 0, "");
                return {recovered_cache.high(), recovered_cache.low() + 1};
#endif
            }
 
            struct compute_mul_result
            {
                carrier_uint result;
                bool         is_integer;
            };
            struct compute_mul_parity_result
            {
                bool parity;
                bool is_integer;
            };
 
            static compute_mul_result compute_mul(
                carrier_uint u, const cache_entry_type& cache) noexcept
            {
                auto r = umul192_upper128(u, cache);
                return {r.high(), r.low() == 0};
            }
 
            static uint32_t compute_delta(cache_entry_type const& cache,
                                          int                     beta) noexcept
            {
                return static_cast<uint32_t>(cache.high() >> (64 - 1 - beta));
            }
 
            static compute_mul_parity_result compute_mul_parity(
                carrier_uint two_f, const cache_entry_type& cache, int beta) noexcept
            {
                FMT_ASSERT(beta >= 1, "");
                FMT_ASSERT(beta < 64, "");
 
                auto r = umul192_lower128(two_f, cache);
                return {((r.high() >> (64 - beta)) & 1) != 0,
                        ((r.high() << beta) | (r.low() >> (64 - beta))) == 0};
            }
 
            static carrier_uint compute_left_endpoint_for_shorter_interval_case(
                const cache_entry_type& cache, int beta) noexcept
            {
                return (cache.high() -
                        (cache.high() >> (num_significand_bits<double>() + 2))) >>
                       (64 - num_significand_bits<double>() - 1 - beta);
            }
 
            static carrier_uint compute_right_endpoint_for_shorter_interval_case(
                const cache_entry_type& cache, int beta) noexcept
            {
                return (cache.high() +
                        (cache.high() >> (num_significand_bits<double>() + 1))) >>
                       (64 - num_significand_bits<double>() - 1 - beta);
            }
 
            static carrier_uint compute_round_up_for_shorter_interval_case(
                const cache_entry_type& cache, int beta) noexcept
            {
                return ((cache.high() >> (64 - num_significand_bits<double>() - 2 - beta)) +
                        1) /
                       2;
            }
        };
 
        // Various integer checks
        template <class T>
        bool is_left_endpoint_integer_shorter_interval(int exponent) noexcept
        {
            const int case_shorter_interval_left_endpoint_lower_threshold = 2;
            const int case_shorter_interval_left_endpoint_upper_threshold = 3;
            return exponent >= case_shorter_interval_left_endpoint_lower_threshold &&
                   exponent <= case_shorter_interval_left_endpoint_upper_threshold;
        }
 
        // Remove trailing zeros from n and return the number of zeros removed (float)
        FMT_INLINE int remove_trailing_zeros(uint32_t& n) noexcept
        {
            FMT_ASSERT(n != 0, "");
            const uint32_t mod_inv_5  = 0xcccccccd;
            const uint32_t mod_inv_25 = mod_inv_5 * mod_inv_5;
 
            int s = 0;
            while (true)
            {
                auto q = rotr(n * mod_inv_25, 2);
                if (q > max_value<uint32_t>() / 100)
                    break;
                n = q;
                s += 2;
            }
            auto q = rotr(n * mod_inv_5, 1);
            if (q <= max_value<uint32_t>() / 10)
            {
                n = q;
                s |= 1;
            }
 
            return s;
        }
 
        // Removes trailing zeros and returns the number of zeros removed (double)
        FMT_INLINE int remove_trailing_zeros(uint64_t& n) noexcept
        {
            FMT_ASSERT(n != 0, "");
 
            // This magic number is ceil(2^90 / 10^8).
            constexpr uint64_t magic_number = 12379400392853802749ull;
            auto               nm           = umul128(n, magic_number);
 
            // Is n is divisible by 10^8?
            if ((nm.high() & ((1ull << (90 - 64)) - 1)) == 0 && nm.low() < magic_number)
            {
                // If yes, work with the quotient.
                auto n32 = static_cast<uint32_t>(nm.high() >> (90 - 64));
 
                const uint32_t mod_inv_5  = 0xcccccccd;
                const uint32_t mod_inv_25 = mod_inv_5 * mod_inv_5;
 
                int s = 8;
                while (true)
                {
                    auto q = rotr(n32 * mod_inv_25, 2);
                    if (q > max_value<uint32_t>() / 100)
                        break;
                    n32 = q;
                    s += 2;
                }
                auto q = rotr(n32 * mod_inv_5, 1);
                if (q <= max_value<uint32_t>() / 10)
                {
                    n32 = q;
                    s |= 1;
                }
 
                n = n32;
                return s;
            }
 
            // If n is not divisible by 10^8, work with n itself.
            const uint64_t mod_inv_5 = 0xcccccccccccccccd;
 
            /* what the fuck */
            const uint64_t mod_inv_25 = mod_inv_5 * mod_inv_5;
 
            int s = 0;
            while (true)
            {
                auto q = rotr(n * mod_inv_25, 2);
                if (q > max_value<uint64_t>() / 100)
                    break;
                n = q;
                s += 2;
            }
            auto q = rotr(n * mod_inv_5, 1);
            if (q <= max_value<uint64_t>() / 10)
            {
                n = q;
                s |= 1;
            }
 
            return s;
        }
 
        // The main algorithm for shorter interval case
        template <class T>
        FMT_INLINE decimal_fp<T> shorter_interval_case(int exponent) noexcept
        {
            decimal_fp<T> ret_value;
            // Compute k and beta
            const int minus_k = floor_log10_pow2_minus_log10_4_over_3(exponent);
            const int beta    = exponent + floor_log2_pow10(-minus_k);
 
            // Compute xi and zi
            using cache_entry_type       = typename cache_accessor<T>::cache_entry_type;
            const cache_entry_type cache = cache_accessor<T>::get_cached_power(-minus_k);
 
            auto xi = cache_accessor<T>::compute_left_endpoint_for_shorter_interval_case(
                cache, beta);
            auto zi = cache_accessor<T>::compute_right_endpoint_for_shorter_interval_case(
                cache, beta);
 
            // If the left endpoint is not an integer, increase it
            if (!is_left_endpoint_integer_shorter_interval<T>(exponent))
                ++xi;
 
            // Try bigger divisor
            ret_value.significand = zi / 10;
 
            // If succeed, remove trailing zeros if necessary and return
            if (ret_value.significand * 10 >= xi)
            {
                ret_value.exponent = minus_k + 1;
                ret_value.exponent += remove_trailing_zeros(ret_value.significand);
                return ret_value;
            }
 
            // Otherwise, compute the round-up of y
            ret_value.significand =
                cache_accessor<T>::compute_round_up_for_shorter_interval_case(cache,
                                                                              beta);
            ret_value.exponent = minus_k;
 
            // When tie occurs, choose one of them according to the rule
            if (exponent >= float_info<T>::shorter_interval_tie_lower_threshold &&
                exponent <= float_info<T>::shorter_interval_tie_upper_threshold)
            {
                ret_value.significand = ret_value.significand % 2 == 0
                                            ? ret_value.significand
                                            : ret_value.significand - 1;
            }
            else if (ret_value.significand < xi)
            {
                ++ret_value.significand;
            }
            return ret_value;
        }
 
        template <typename T>
        decimal_fp<T> to_decimal(T x) noexcept
        {
            // Step 1: integer promotion & Schubfach multiplier calculation.
 
            using carrier_uint     = typename float_info<T>::carrier_uint;
            using cache_entry_type = typename cache_accessor<T>::cache_entry_type;
            auto br                = bit_cast<carrier_uint>(x);
 
            // Extract significand bits and exponent bits.
            const carrier_uint significand_mask =
                (static_cast<carrier_uint>(1) << num_significand_bits<T>()) - 1;
            carrier_uint significand = (br & significand_mask);
            int          exponent =
                static_cast<int>((br & exponent_mask<T>()) >> num_significand_bits<T>());
 
            if (exponent != 0)
            { // Check if normal.
                exponent -= exponent_bias<T>() + num_significand_bits<T>();
 
                // Shorter interval case; proceed like Schubfach.
                // In fact, when exponent == 1 and significand == 0, the interval is
                // regular. However, it can be shown that the end-results are anyway same.
                if (significand == 0)
                    return shorter_interval_case<T>(exponent);
 
                significand |= (static_cast<carrier_uint>(1) << num_significand_bits<T>());
            }
            else
            {
                // Subnormal case; the interval is always regular.
                if (significand == 0)
                    return {0, 0};
                exponent =
                    std::numeric_limits<T>::min_exponent - num_significand_bits<T>() - 1;
            }
 
            const bool include_left_endpoint  = (significand % 2 == 0);
            const bool include_right_endpoint = include_left_endpoint;
 
            // Compute k and beta.
            const int              minus_k = floor_log10_pow2(exponent) - float_info<T>::kappa;
            const cache_entry_type cache   = cache_accessor<T>::get_cached_power(-minus_k);
            const int              beta    = exponent + floor_log2_pow10(-minus_k);
 
            // Compute zi and deltai.
            // 10^kappa <= deltai < 10^(kappa + 1)
            const uint32_t     deltai = cache_accessor<T>::compute_delta(cache, beta);
            const carrier_uint two_fc = significand << 1;
 
            // For the case of binary32, the result of integer check is not correct for
            // 29711844 * 2^-82
            // = 6.1442653300000000008655037797566933477355632930994033813476... * 10^-18
            // and 29711844 * 2^-81
            // = 1.2288530660000000001731007559513386695471126586198806762695... * 10^-17,
            // and they are the unique counterexamples. However, since 29711844 is even,
            // this does not cause any problem for the endpoints calculations; it can only
            // cause a problem when we need to perform integer check for the center.
            // Fortunately, with these inputs, that branch is never executed, so we are
            // fine.
            const typename cache_accessor<T>::compute_mul_result z_mul =
                cache_accessor<T>::compute_mul((two_fc | 1) << beta, cache);
 
            // Step 2: Try larger divisor; remove trailing zeros if necessary.
 
            // Using an upper bound on zi, we might be able to optimize the division
            // better than the compiler; we are computing zi / big_divisor here.
            decimal_fp<T> ret_value;
            ret_value.significand = divide_by_10_to_kappa_plus_1(z_mul.result);
            uint32_t r            = static_cast<uint32_t>(z_mul.result - float_info<T>::big_divisor *
                                                                             ret_value.significand);
 
            if (r < deltai)
            {
                // Exclude the right endpoint if necessary.
                if (r == 0 && (z_mul.is_integer & !include_right_endpoint))
                {
                    --ret_value.significand;
                    r = float_info<T>::big_divisor;
                    goto small_divisor_case_label;
                }
            }
            else if (r > deltai)
            {
                goto small_divisor_case_label;
            }
            else
            {
                // r == deltai; compare fractional parts.
                const typename cache_accessor<T>::compute_mul_parity_result x_mul =
                    cache_accessor<T>::compute_mul_parity(two_fc - 1, cache, beta);
 
                if (!(x_mul.parity | (x_mul.is_integer & include_left_endpoint)))
                    goto small_divisor_case_label;
            }
            ret_value.exponent = minus_k + float_info<T>::kappa + 1;
 
            // We may need to remove trailing zeros.
            ret_value.exponent += remove_trailing_zeros(ret_value.significand);
            return ret_value;
 
            // Step 3: Find the significand with the smaller divisor.
 
        small_divisor_case_label:
            ret_value.significand *= 10;
            ret_value.exponent = minus_k + float_info<T>::kappa;
 
            uint32_t   dist = r - (deltai / 2) + (float_info<T>::small_divisor / 2);
            const bool approx_y_parity =
                ((dist ^ (float_info<T>::small_divisor / 2)) & 1) != 0;
 
            // Is dist divisible by 10^kappa?
            const bool divisible_by_small_divisor =
                check_divisibility_and_divide_by_pow10<float_info<T>::kappa>(dist);
 
            // Add dist / 10^kappa to the significand.
            ret_value.significand += dist;
 
            if (!divisible_by_small_divisor)
                return ret_value;
 
            // Check z^(f) >= epsilon^(f).
            // We have either yi == zi - epsiloni or yi == (zi - epsiloni) - 1,
            // where yi == zi - epsiloni if and only if z^(f) >= epsilon^(f).
            // Since there are only 2 possibilities, we only need to care about the
            // parity. Also, zi and r should have the same parity since the divisor
            // is an even number.
            const auto y_mul = cache_accessor<T>::compute_mul_parity(two_fc, cache, beta);
 
            // If z^(f) >= epsilon^(f), we might have a tie when z^(f) == epsilon^(f),
            // or equivalently, when y is an integer.
            if (y_mul.parity != approx_y_parity)
                --ret_value.significand;
            else if (y_mul.is_integer & (ret_value.significand % 2 != 0))
                --ret_value.significand;
            return ret_value;
        }
    } // namespace dragonbox
 
#ifdef _MSC_VER
    FMT_FUNC auto fmt_snprintf(char* buf, size_t size, const char* fmt, ...)
        -> int
    {
        auto args = va_list();
        va_start(args, fmt);
        int result = vsnprintf_s(buf, size, _TRUNCATE, fmt, args);
        va_end(args);
        return result;
    }
#endif
} // namespace detail
 
template <>
struct formatter<detail::bigint>
{
    FMT_CONSTEXPR auto parse(format_parse_context& ctx)
        -> format_parse_context::iterator
    {
        return ctx.begin();
    }
 
    template <typename FormatContext>
    auto format(const detail::bigint& n, FormatContext& ctx) const ->
        typename FormatContext::iterator
    {
        auto out   = ctx.out();
        bool first = true;
        for (auto i = n.bigits_.size(); i > 0; --i)
        {
            auto value = n.bigits_[i - 1u];
            if (first)
            {
                out   = format_to(out, FMT_STRING("{:x}"), value);
                first = false;
                continue;
            }
            out = format_to(out, FMT_STRING("{:08x}"), value);
        }
        if (n.exp_ > 0)
            out = format_to(out, FMT_STRING("p{}"),
                            n.exp_ * detail::bigint::bigit_bits);
        return out;
    }
};
 
FMT_FUNC detail::utf8_to_utf16::utf8_to_utf16(string_view s)
{
    for_each_codepoint(s, [this](uint32_t cp, string_view) {
        if (cp == invalid_code_point)
            FMT_THROW(std::runtime_error("invalid utf8"));
        if (cp <= 0xFFFF)
        {
            buffer_.push_back(static_cast<wchar_t>(cp));
        }
        else
        {
            cp -= 0x10000;
            buffer_.push_back(static_cast<wchar_t>(0xD800 + (cp >> 10)));
            buffer_.push_back(static_cast<wchar_t>(0xDC00 + (cp & 0x3FF)));
        }
        return true;
    });
    buffer_.push_back(0);
}
 
FMT_FUNC void format_system_error(detail::buffer<char>& out, int error_code, const char* message) noexcept
{
    FMT_TRY
    {
        auto ec = std::error_code(error_code, std::generic_category());
        write(std::back_inserter(out), std::system_error(ec, message).what());
        return;
    }
    FMT_CATCH(...)
    {
    }
    format_error_code(out, error_code, message);
}
 
FMT_FUNC void report_system_error(int         error_code,
                                  const char* message) noexcept
{
    report_error(format_system_error, error_code, message);
}
 
FMT_FUNC std::string vformat(string_view fmt, format_args args)
{
    // Don't optimize the "{}" case to keep the binary size small and because it
    // can be better optimized in fmt::format anyway.
    auto buffer = memory_buffer();
    detail::vformat_to(buffer, fmt, args);
    return to_string(buffer);
}
 
namespace detail
{
#ifdef _WIN32
    using dword = conditional_t<sizeof(long) == 4, unsigned long, unsigned>;
    extern "C" __declspec(dllimport) int __stdcall WriteConsoleW( //
        void*,
        const void*,
        dword,
        dword*,
        void*);
 
    FMT_FUNC bool write_console(std::FILE* f, string_view text)
    {
        auto fd = _fileno(f);
        if (_isatty(fd))
        {
            detail::utf8_to_utf16 u16(string_view(text.data(), text.size()));
            auto                  written = detail::dword();
            if (detail::WriteConsoleW(reinterpret_cast<void*>(_get_osfhandle(fd)),
                                      u16.c_str(), static_cast<uint32_t>(u16.size()),
                                      &written, nullptr))
            {
                return true;
            }
        }
        // We return false if the file descriptor was not TTY, or it was but
        // SetConsoleW failed which can happen if the output has been redirected to
        // NUL. In both cases when we return false, we should attempt to do regular
        // write via fwrite or std::ostream::write.
        return false;
    }
#endif
 
    FMT_FUNC void print(std::FILE* f, string_view text)
    {
#ifdef _WIN32
        if (write_console(f, text))
            return;
#endif
        detail::fwrite_fully(text.data(), 1, text.size(), f);
    }
} // namespace detail
 
FMT_FUNC void vprint(std::FILE* f, string_view format_str, format_args args)
{
    memory_buffer buffer;
    detail::vformat_to(buffer, format_str, args);
    detail::print(f, {buffer.data(), buffer.size()});
}
 
#ifdef _WIN32
// Print assuming legacy (non-Unicode) encoding.
FMT_FUNC void detail::vprint_mojibake(std::FILE* f, string_view format_str, format_args args)
{
    memory_buffer buffer;
    detail::vformat_to(buffer, format_str,
                       basic_format_args<buffer_context<char>>(args));
    fwrite_fully(buffer.data(), 1, buffer.size(), f);
}
#endif
 
FMT_FUNC void vprint(string_view format_str, format_args args)
{
    vprint(stdout, format_str, args);
}
 
namespace detail
{
 
    struct singleton
    {
        unsigned char upper;
        unsigned char lower_count;
    };
 
    inline auto is_printable(uint16_t x, const singleton* singletons, size_t singletons_size, const unsigned char* singleton_lowers, const unsigned char* normal, size_t normal_size)
        -> bool
    {
        auto upper       = x >> 8;
        auto lower_start = 0;
        for (size_t i = 0; i < singletons_size; ++i)
        {
            auto s         = singletons[i];
            auto lower_end = lower_start + s.lower_count;
            if (upper < s.upper)
                break;
            if (upper == s.upper)
            {
                for (auto j = lower_start; j < lower_end; ++j)
                {
                    if (singleton_lowers[j] == (x & 0xff))
                        return false;
                }
            }
            lower_start = lower_end;
        }
 
        auto xsigned = static_cast<int>(x);
        auto current = true;
        for (size_t i = 0; i < normal_size; ++i)
        {
            auto v   = static_cast<int>(normal[i]);
            auto len = (v & 0x80) != 0 ? (v & 0x7f) << 8 | normal[++i] : v;
            xsigned -= len;
            if (xsigned < 0)
                break;
            current = !current;
        }
        return current;
    }
 
    // This code is generated by support/printable.py.
    FMT_FUNC auto is_printable(uint32_t cp) -> bool
    {
        static constexpr singleton singletons0[] = {
            {0x00, 1},
            {0x03, 5},
            {0x05, 6},
            {0x06, 3},
            {0x07, 6},
            {0x08, 8},
            {0x09, 17},
            {0x0a, 28},
            {0x0b, 25},
            {0x0c, 20},
            {0x0d, 16},
            {0x0e, 13},
            {0x0f, 4},
            {0x10, 3},
            {0x12, 18},
            {0x13, 9},
            {0x16, 1},
            {0x17, 5},
            {0x18, 2},
            {0x19, 3},
            {0x1a, 7},
            {0x1c, 2},
            {0x1d, 1},
            {0x1f, 22},
            {0x20, 3},
            {0x2b, 3},
            {0x2c, 2},
            {0x2d, 11},
            {0x2e, 1},
            {0x30, 3},
            {0x31, 2},
            {0x32, 1},
            {0xa7, 2},
            {0xa9, 2},
            {0xaa, 4},
            {0xab, 8},
            {0xfa, 2},
            {0xfb, 5},
            {0xfd, 4},
            {0xfe, 3},
            {0xff, 9},
        };
        static constexpr unsigned char singletons0_lower[] = {
            0xad,
            0x78,
            0x79,
            0x8b,
            0x8d,
            0xa2,
            0x30,
            0x57,
            0x58,
            0x8b,
            0x8c,
            0x90,
            0x1c,
            0x1d,
            0xdd,
            0x0e,
            0x0f,
            0x4b,
            0x4c,
            0xfb,
            0xfc,
            0x2e,
            0x2f,
            0x3f,
            0x5c,
            0x5d,
            0x5f,
            0xb5,
            0xe2,
            0x84,
            0x8d,
            0x8e,
            0x91,
            0x92,
            0xa9,
            0xb1,
            0xba,
            0xbb,
            0xc5,
            0xc6,
            0xc9,
            0xca,
            0xde,
            0xe4,
            0xe5,
            0xff,
            0x00,
            0x04,
            0x11,
            0x12,
            0x29,
            0x31,
            0x34,
            0x37,
            0x3a,
            0x3b,
            0x3d,
            0x49,
            0x4a,
            0x5d,
            0x84,
            0x8e,
            0x92,
            0xa9,
            0xb1,
            0xb4,
            0xba,
            0xbb,
            0xc6,
            0xca,
            0xce,
            0xcf,
            0xe4,
            0xe5,
            0x00,
            0x04,
            0x0d,
            0x0e,
            0x11,
            0x12,
            0x29,
            0x31,
            0x34,
            0x3a,
            0x3b,
            0x45,
            0x46,
            0x49,
            0x4a,
            0x5e,
            0x64,
            0x65,
            0x84,
            0x91,
            0x9b,
            0x9d,
            0xc9,
            0xce,
            0xcf,
            0x0d,
            0x11,
            0x29,
            0x45,
            0x49,
            0x57,
            0x64,
            0x65,
            0x8d,
            0x91,
            0xa9,
            0xb4,
            0xba,
            0xbb,
            0xc5,
            0xc9,
            0xdf,
            0xe4,
            0xe5,
            0xf0,
            0x0d,
            0x11,
            0x45,
            0x49,
            0x64,
            0x65,
            0x80,
            0x84,
            0xb2,
            0xbc,
            0xbe,
            0xbf,
            0xd5,
            0xd7,
            0xf0,
            0xf1,
            0x83,
            0x85,
            0x8b,
            0xa4,
            0xa6,
            0xbe,
            0xbf,
            0xc5,
            0xc7,
            0xce,
            0xcf,
            0xda,
            0xdb,
            0x48,
            0x98,
            0xbd,
            0xcd,
            0xc6,
            0xce,
            0xcf,
            0x49,
            0x4e,
            0x4f,
            0x57,
            0x59,
            0x5e,
            0x5f,
            0x89,
            0x8e,
            0x8f,
            0xb1,
            0xb6,
            0xb7,
            0xbf,
            0xc1,
            0xc6,
            0xc7,
            0xd7,
            0x11,
            0x16,
            0x17,
            0x5b,
            0x5c,
            0xf6,
            0xf7,
            0xfe,
            0xff,
            0x80,
            0x0d,
            0x6d,
            0x71,
            0xde,
            0xdf,
            0x0e,
            0x0f,
            0x1f,
            0x6e,
            0x6f,
            0x1c,
            0x1d,
            0x5f,
            0x7d,
            0x7e,
            0xae,
            0xaf,
            0xbb,
            0xbc,
            0xfa,
            0x16,
            0x17,
            0x1e,
            0x1f,
            0x46,
            0x47,
            0x4e,
            0x4f,
            0x58,
            0x5a,
            0x5c,
            0x5e,
            0x7e,
            0x7f,
            0xb5,
            0xc5,
            0xd4,
            0xd5,
            0xdc,
            0xf0,
            0xf1,
            0xf5,
            0x72,
            0x73,
            0x8f,
            0x74,
            0x75,
            0x96,
            0x2f,
            0x5f,
            0x26,
            0x2e,
            0x2f,
            0xa7,
            0xaf,
            0xb7,
            0xbf,
            0xc7,
            0xcf,
            0xd7,
            0xdf,
            0x9a,
            0x40,
            0x97,
            0x98,
            0x30,
            0x8f,
            0x1f,
            0xc0,
            0xc1,
            0xce,
            0xff,
            0x4e,
            0x4f,
            0x5a,
            0x5b,
            0x07,
            0x08,
            0x0f,
            0x10,
            0x27,
            0x2f,
            0xee,
            0xef,
            0x6e,
            0x6f,
            0x37,
            0x3d,
            0x3f,
            0x42,
            0x45,
            0x90,
            0x91,
            0xfe,
            0xff,
            0x53,
            0x67,
            0x75,
            0xc8,
            0xc9,
            0xd0,
            0xd1,
            0xd8,
            0xd9,
            0xe7,
            0xfe,
            0xff,
        };
        static constexpr singleton singletons1[] = {
            {0x00, 6},
            {0x01, 1},
            {0x03, 1},
            {0x04, 2},
            {0x08, 8},
            {0x09, 2},
            {0x0a, 5},
            {0x0b, 2},
            {0x0e, 4},
            {0x10, 1},
            {0x11, 2},
            {0x12, 5},
            {0x13, 17},
            {0x14, 1},
            {0x15, 2},
            {0x17, 2},
            {0x19, 13},
            {0x1c, 5},
            {0x1d, 8},
            {0x24, 1},
            {0x6a, 3},
            {0x6b, 2},
            {0xbc, 2},
            {0xd1, 2},
            {0xd4, 12},
            {0xd5, 9},
            {0xd6, 2},
            {0xd7, 2},
            {0xda, 1},
            {0xe0, 5},
            {0xe1, 2},
            {0xe8, 2},
            {0xee, 32},
            {0xf0, 4},
            {0xf8, 2},
            {0xf9, 2},
            {0xfa, 2},
            {0xfb, 1},
        };
        static constexpr unsigned char singletons1_lower[] = {
            0x0c,
            0x27,
            0x3b,
            0x3e,
            0x4e,
            0x4f,
            0x8f,
            0x9e,
            0x9e,
            0x9f,
            0x06,
            0x07,
            0x09,
            0x36,
            0x3d,
            0x3e,
            0x56,
            0xf3,
            0xd0,
            0xd1,
            0x04,
            0x14,
            0x18,
            0x36,
            0x37,
            0x56,
            0x57,
            0x7f,
            0xaa,
            0xae,
            0xaf,
            0xbd,
            0x35,
            0xe0,
            0x12,
            0x87,
            0x89,
            0x8e,
            0x9e,
            0x04,
            0x0d,
            0x0e,
            0x11,
            0x12,
            0x29,
            0x31,
            0x34,
            0x3a,
            0x45,
            0x46,
            0x49,
            0x4a,
            0x4e,
            0x4f,
            0x64,
            0x65,
            0x5c,
            0xb6,
            0xb7,
            0x1b,
            0x1c,
            0x07,
            0x08,
            0x0a,
            0x0b,
            0x14,
            0x17,
            0x36,
            0x39,
            0x3a,
            0xa8,
            0xa9,
            0xd8,
            0xd9,
            0x09,
            0x37,
            0x90,
            0x91,
            0xa8,
            0x07,
            0x0a,
            0x3b,
            0x3e,
            0x66,
            0x69,
            0x8f,
            0x92,
            0x6f,
            0x5f,
            0xee,
            0xef,
            0x5a,
            0x62,
            0x9a,
            0x9b,
            0x27,
            0x28,
            0x55,
            0x9d,
            0xa0,
            0xa1,
            0xa3,
            0xa4,
            0xa7,
            0xa8,
            0xad,
            0xba,
            0xbc,
            0xc4,
            0x06,
            0x0b,
            0x0c,
            0x15,
            0x1d,
            0x3a,
            0x3f,
            0x45,
            0x51,
            0xa6,
            0xa7,
            0xcc,
            0xcd,
            0xa0,
            0x07,
            0x19,
            0x1a,
            0x22,
            0x25,
            0x3e,
            0x3f,
            0xc5,
            0xc6,
            0x04,
            0x20,
            0x23,
            0x25,
            0x26,
            0x28,
            0x33,
            0x38,
            0x3a,
            0x48,
            0x4a,
            0x4c,
            0x50,
            0x53,
            0x55,
            0x56,
            0x58,
            0x5a,
            0x5c,
            0x5e,
            0x60,
            0x63,
            0x65,
            0x66,
            0x6b,
            0x73,
            0x78,
            0x7d,
            0x7f,
            0x8a,
            0xa4,
            0xaa,
            0xaf,
            0xb0,
            0xc0,
            0xd0,
            0xae,
            0xaf,
            0x79,
            0xcc,
            0x6e,
            0x6f,
            0x93,
        };
        static constexpr unsigned char normal0[] = {
            0x00,
            0x20,
            0x5f,
            0x22,
            0x82,
            0xdf,
            0x04,
            0x82,
            0x44,
            0x08,
            0x1b,
            0x04,
            0x06,
            0x11,
            0x81,
            0xac,
            0x0e,
            0x80,
            0xab,
            0x35,
            0x28,
            0x0b,
            0x80,
            0xe0,
            0x03,
            0x19,
            0x08,
            0x01,
            0x04,
            0x2f,
            0x04,
            0x34,
            0x04,
            0x07,
            0x03,
            0x01,
            0x07,
            0x06,
            0x07,
            0x11,
            0x0a,
            0x50,
            0x0f,
            0x12,
            0x07,
            0x55,
            0x07,
            0x03,
            0x04,
            0x1c,
            0x0a,
            0x09,
            0x03,
            0x08,
            0x03,
            0x07,
            0x03,
            0x02,
            0x03,
            0x03,
            0x03,
            0x0c,
            0x04,
            0x05,
            0x03,
            0x0b,
            0x06,
            0x01,
            0x0e,
            0x15,
            0x05,
            0x3a,
            0x03,
            0x11,
            0x07,
            0x06,
            0x05,
            0x10,
            0x07,
            0x57,
            0x07,
            0x02,
            0x07,
            0x15,
            0x0d,
            0x50,
            0x04,
            0x43,
            0x03,
            0x2d,
            0x03,
            0x01,
            0x04,
            0x11,
            0x06,
            0x0f,
            0x0c,
            0x3a,
            0x04,
            0x1d,
            0x25,
            0x5f,
            0x20,
            0x6d,
            0x04,
            0x6a,
            0x25,
            0x80,
            0xc8,
            0x05,
            0x82,
            0xb0,
            0x03,
            0x1a,
            0x06,
            0x82,
            0xfd,
            0x03,
            0x59,
            0x07,
            0x15,
            0x0b,
            0x17,
            0x09,
            0x14,
            0x0c,
            0x14,
            0x0c,
            0x6a,
            0x06,
            0x0a,
            0x06,
            0x1a,
            0x06,
            0x59,
            0x07,
            0x2b,
            0x05,
            0x46,
            0x0a,
            0x2c,
            0x04,
            0x0c,
            0x04,
            0x01,
            0x03,
            0x31,
            0x0b,
            0x2c,
            0x04,
            0x1a,
            0x06,
            0x0b,
            0x03,
            0x80,
            0xac,
            0x06,
            0x0a,
            0x06,
            0x21,
            0x3f,
            0x4c,
            0x04,
            0x2d,
            0x03,
            0x74,
            0x08,
            0x3c,
            0x03,
            0x0f,
            0x03,
            0x3c,
            0x07,
            0x38,
            0x08,
            0x2b,
            0x05,
            0x82,
            0xff,
            0x11,
            0x18,
            0x08,
            0x2f,
            0x11,
            0x2d,
            0x03,
            0x20,
            0x10,
            0x21,
            0x0f,
            0x80,
            0x8c,
            0x04,
            0x82,
            0x97,
            0x19,
            0x0b,
            0x15,
            0x88,
            0x94,
            0x05,
            0x2f,
            0x05,
            0x3b,
            0x07,
            0x02,
            0x0e,
            0x18,
            0x09,
            0x80,
            0xb3,
            0x2d,
            0x74,
            0x0c,
            0x80,
            0xd6,
            0x1a,
            0x0c,
            0x05,
            0x80,
            0xff,
            0x05,
            0x80,
            0xdf,
            0x0c,
            0xee,
            0x0d,
            0x03,
            0x84,
            0x8d,
            0x03,
            0x37,
            0x09,
            0x81,
            0x5c,
            0x14,
            0x80,
            0xb8,
            0x08,
            0x80,
            0xcb,
            0x2a,
            0x38,
            0x03,
            0x0a,
            0x06,
            0x38,
            0x08,
            0x46,
            0x08,
            0x0c,
            0x06,
            0x74,
            0x0b,
            0x1e,
            0x03,
            0x5a,
            0x04,
            0x59,
            0x09,
            0x80,
            0x83,
            0x18,
            0x1c,
            0x0a,
            0x16,
            0x09,
            0x4c,
            0x04,
            0x80,
            0x8a,
            0x06,
            0xab,
            0xa4,
            0x0c,
            0x17,
            0x04,
            0x31,
            0xa1,
            0x04,
            0x81,
            0xda,
            0x26,
            0x07,
            0x0c,
            0x05,
            0x05,
            0x80,
            0xa5,
            0x11,
            0x81,
            0x6d,
            0x10,
            0x78,
            0x28,
            0x2a,
            0x06,
            0x4c,
            0x04,
            0x80,
            0x8d,
            0x04,
            0x80,
            0xbe,
            0x03,
            0x1b,
            0x03,
            0x0f,
            0x0d,
        };
        static constexpr unsigned char normal1[] = {
            0x5e,
            0x22,
            0x7b,
            0x05,
            0x03,
            0x04,
            0x2d,
            0x03,
            0x66,
            0x03,
            0x01,
            0x2f,
            0x2e,
            0x80,
            0x82,
            0x1d,
            0x03,
            0x31,
            0x0f,
            0x1c,
            0x04,
            0x24,
            0x09,
            0x1e,
            0x05,
            0x2b,
            0x05,
            0x44,
            0x04,
            0x0e,
            0x2a,
            0x80,
            0xaa,
            0x06,
            0x24,
            0x04,
            0x24,
            0x04,
            0x28,
            0x08,
            0x34,
            0x0b,
            0x01,
            0x80,
            0x90,
            0x81,
            0x37,
            0x09,
            0x16,
            0x0a,
            0x08,
            0x80,
            0x98,
            0x39,
            0x03,
            0x63,
            0x08,
            0x09,
            0x30,
            0x16,
            0x05,
            0x21,
            0x03,
            0x1b,
            0x05,
            0x01,
            0x40,
            0x38,
            0x04,
            0x4b,
            0x05,
            0x2f,
            0x04,
            0x0a,
            0x07,
            0x09,
            0x07,
            0x40,
            0x20,
            0x27,
            0x04,
            0x0c,
            0x09,
            0x36,
            0x03,
            0x3a,
            0x05,
            0x1a,
            0x07,
            0x04,
            0x0c,
            0x07,
            0x50,
            0x49,
            0x37,
            0x33,
            0x0d,
            0x33,
            0x07,
            0x2e,
            0x08,
            0x0a,
            0x81,
            0x26,
            0x52,
            0x4e,
            0x28,
            0x08,
            0x2a,
            0x56,
            0x1c,
            0x14,
            0x17,
            0x09,
            0x4e,
            0x04,
            0x1e,
            0x0f,
            0x43,
            0x0e,
            0x19,
            0x07,
            0x0a,
            0x06,
            0x48,
            0x08,
            0x27,
            0x09,
            0x75,
            0x0b,
            0x3f,
            0x41,
            0x2a,
            0x06,
            0x3b,
            0x05,
            0x0a,
            0x06,
            0x51,
            0x06,
            0x01,
            0x05,
            0x10,
            0x03,
            0x05,
            0x80,
            0x8b,
            0x62,
            0x1e,
            0x48,
            0x08,
            0x0a,
            0x80,
            0xa6,
            0x5e,
            0x22,
            0x45,
            0x0b,
            0x0a,
            0x06,
            0x0d,
            0x13,
            0x39,
            0x07,
            0x0a,
            0x36,
            0x2c,
            0x04,
            0x10,
            0x80,
            0xc0,
            0x3c,
            0x64,
            0x53,
            0x0c,
            0x48,
            0x09,
            0x0a,
            0x46,
            0x45,
            0x1b,
            0x48,
            0x08,
            0x53,
            0x1d,
            0x39,
            0x81,
            0x07,
            0x46,
            0x0a,
            0x1d,
            0x03,
            0x47,
            0x49,
            0x37,
            0x03,
            0x0e,
            0x08,
            0x0a,
            0x06,
            0x39,
            0x07,
            0x0a,
            0x81,
            0x36,
            0x19,
            0x80,
            0xb7,
            0x01,
            0x0f,
            0x32,
            0x0d,
            0x83,
            0x9b,
            0x66,
            0x75,
            0x0b,
            0x80,
            0xc4,
            0x8a,
            0xbc,
            0x84,
            0x2f,
            0x8f,
            0xd1,
            0x82,
            0x47,
            0xa1,
            0xb9,
            0x82,
            0x39,
            0x07,
            0x2a,
            0x04,
            0x02,
            0x60,
            0x26,
            0x0a,
            0x46,
            0x0a,
            0x28,
            0x05,
            0x13,
            0x82,
            0xb0,
            0x5b,
            0x65,
            0x4b,
            0x04,
            0x39,
            0x07,
            0x11,
            0x40,
            0x05,
            0x0b,
            0x02,
            0x0e,
            0x97,
            0xf8,
            0x08,
            0x84,
            0xd6,
            0x2a,
            0x09,
            0xa2,
            0xf7,
            0x81,
            0x1f,
            0x31,
            0x03,
            0x11,
            0x04,
            0x08,
            0x81,
            0x8c,
            0x89,
            0x04,
            0x6b,
            0x05,
            0x0d,
            0x03,
            0x09,
            0x07,
            0x10,
            0x93,
            0x60,
            0x80,
            0xf6,
            0x0a,
            0x73,
            0x08,
            0x6e,
            0x17,
            0x46,
            0x80,
            0x9a,
            0x14,
            0x0c,
            0x57,
            0x09,
            0x19,
            0x80,
            0x87,
            0x81,
            0x47,
            0x03,
            0x85,
            0x42,
            0x0f,
            0x15,
            0x85,
            0x50,
            0x2b,
            0x80,
            0xd5,
            0x2d,
            0x03,
            0x1a,
            0x04,
            0x02,
            0x81,
            0x70,
            0x3a,
            0x05,
            0x01,
            0x85,
            0x00,
            0x80,
            0xd7,
            0x29,
            0x4c,
            0x04,
            0x0a,
            0x04,
            0x02,
            0x83,
            0x11,
            0x44,
            0x4c,
            0x3d,
            0x80,
            0xc2,
            0x3c,
            0x06,
            0x01,
            0x04,
            0x55,
            0x05,
            0x1b,
            0x34,
            0x02,
            0x81,
            0x0e,
            0x2c,
            0x04,
            0x64,
            0x0c,
            0x56,
            0x0a,
            0x80,
            0xae,
            0x38,
            0x1d,
            0x0d,
            0x2c,
            0x04,
            0x09,
            0x07,
            0x02,
            0x0e,
            0x06,
            0x80,
            0x9a,
            0x83,
            0xd8,
            0x08,
            0x0d,
            0x03,
            0x0d,
            0x03,
            0x74,
            0x0c,
            0x59,
            0x07,
            0x0c,
            0x14,
            0x0c,
            0x04,
            0x38,
            0x08,
            0x0a,
            0x06,
            0x28,
            0x08,
            0x22,
            0x4e,
            0x81,
            0x54,
            0x0c,
            0x15,
            0x03,
            0x03,
            0x05,
            0x07,
            0x09,
            0x19,
            0x07,
            0x07,
            0x09,
            0x03,
            0x0d,
            0x07,
            0x29,
            0x80,
            0xcb,
            0x25,
            0x0a,
            0x84,
            0x06,
        };
        auto lower = static_cast<uint16_t>(cp);
        if (cp < 0x10000)
        {
            return is_printable(lower, singletons0,
                                sizeof(singletons0) / sizeof(*singletons0),
                                singletons0_lower, normal0, sizeof(normal0));
        }
        if (cp < 0x20000)
        {
            return is_printable(lower, singletons1,
                                sizeof(singletons1) / sizeof(*singletons1),
                                singletons1_lower, normal1, sizeof(normal1));
        }
        if (0x2a6de <= cp && cp < 0x2a700)
            return false;
        if (0x2b735 <= cp && cp < 0x2b740)
            return false;
        if (0x2b81e <= cp && cp < 0x2b820)
            return false;
        if (0x2cea2 <= cp && cp < 0x2ceb0)
            return false;
        if (0x2ebe1 <= cp && cp < 0x2f800)
            return false;
        if (0x2fa1e <= cp && cp < 0x30000)
            return false;
        if (0x3134b <= cp && cp < 0xe0100)
            return false;
        if (0xe01f0 <= cp && cp < 0x110000)
            return false;
        return cp < 0x110000;
    }
 
} // namespace detail
 
FMT_END_NAMESPACE
 
#endif // FMT_FORMAT_INL_H_