robot/include/boost/charconv/detail/dragonbox/dragonbox_common.hpp

// Copyright 2020-2022 Junekey Jeon
//
// The contents of this file may be used under the terms of
// the Apache License v2.0 with LLVM Exceptions.
//
//    (See accompanying file LICENSE-Apache or copy at
//     https://llvm.org/foundation/relicensing/LICENSE.txt)
//
// Alternatively, the contents of this file may be used under the terms of
// the Boost Software License, Version 1.0.
//    (See accompanying file LICENSE-Boost or copy at
//     https://www.boost.org/LICENSE_1_0.txt)
//
// Unless required by applicable law or agreed to in writing, this software
// is distributed on an "AS IS" BASIS, WITHOUT WARRANTIES OR CONDITIONS OF ANY
// KIND, either express or implied.
//
// Some parts are copied from Dragonbox project.
//
// Copyright 2023 Matt Borland
// Distributed under the Boost Software License, Version 1.0.
// https://www.boost.org/LICENSE_1_0.txt

#ifndef BOOST_CHARCONV_DETAIL_DRAGONBOX_COMMON_HPP
#define BOOST_CHARCONV_DETAIL_DRAGONBOX_COMMON_HPP

#include <boost/charconv/detail/config.hpp>
#include <boost/charconv/detail/bit_layouts.hpp>
#include <boost/charconv/detail/emulated128.hpp>
#include <boost/charconv/chars_format.hpp>
#include <boost/core/bit.hpp>
#include <type_traits>
#include <limits>
#include <cstdint>
#include <cstring>
#include <cstddef>
#include <climits>

namespace boost { namespace charconv { namespace detail {

template <typename T>
struct physical_bits
{
    static constexpr std::size_t value = sizeof(T) * CHAR_BIT;
};

template <typename T>
struct value_bits
{
    static constexpr std::size_t value = std::numeric_limits<typename std::enable_if<std::is_unsigned<T>::value, T>::type>::digits;
};

#ifdef BOOST_NO_CXX17_INLINE_VARIABLES

template <typename T> constexpr std::size_t physical_bits<T>::value;
template <typename T> constexpr std::size_t value_bits<T>::value;

#endif

// A floating-point traits class defines ways to interpret a bit pattern of given size as an
// encoding of floating-point number. This is a default implementation of such a traits class,
// supporting ways to interpret 32-bits into a binary32-encoded floating-point number and to
// interpret 64-bits into a binary64-encoded floating-point number. Users might specialize this
// class to change the default behavior for certain types.
template <typename T>
struct default_float_traits 
{
    // I don't know if there is a truly reliable way of detecting
    // IEEE-754 binary32/binary64 formats; I just did my best here.
    static_assert(std::numeric_limits<T>::is_iec559 && std::numeric_limits<T>::radix == 2 &&
                  (detail::physical_bits<T>::value == 32 || detail::physical_bits<T>::value == 64),
                    "default_ieee754_traits only works for 32-bits or 64-bits types "
                    "supporting binary32 or binary64 formats!");

    // The type that is being viewed.
    using type = T;

    // Refers to the format specification class.
    using format =
        typename std::conditional<detail::physical_bits<T>::value == 32, detail::ieee754_binary32, detail::ieee754_binary64>::type;

    // Defines an unsignedeger type that is large enough to carry a variable of type T.
    // Most of the operations will be done on this integer type.
    using carrier_uint = typename std::conditional<detail::physical_bits<T>::value == 32, std::uint32_t, std::uint64_t>::type;
    
    static_assert(sizeof(carrier_uint) == sizeof(T), "carrier_uint must be T");

    // Number of bits in the above unsignedeger type.
    static constexpr int carrier_bits = static_cast<int>(detail::physical_bits<carrier_uint>::value);

    // Convert from carrier_uint into the original type.
    // Depending on the floating-point encoding format, this operation might not be possible for
    // some specific bit patterns. However, the contract is that u always denotes a
    // valid bit pattern, so this function must be assumed to be noexcept.
    static T carrier_to_float(carrier_uint u) noexcept
    {
        T x;
        std::memcpy(&x, &u, sizeof(carrier_uint));
        return x;
    }

    // Same as above.
    static carrier_uint float_to_carrier(T x) noexcept
    {
        carrier_uint u;
        std::memcpy(&u, &x, sizeof(carrier_uint));
        return u;
    }

    // Extract exponent bits from a bit pattern.
    // The result must be aligned to the LSB so that there is no additional zero paddings
    // on the right. This function does not do bias adjustment.
    static constexpr unsigned extract_exponent_bits(carrier_uint u) noexcept
    {
        return static_cast<unsigned>(u >> format::exponent_bits) & static_cast<unsigned>((1U << format::exponent_bits) - 1);
    }

    // Extract significand bits from a bit pattern.
    // The result must be aligned to the LSB so that there is no additional zero paddings
    // on the right. The result does not contain the implicit bit.
    static constexpr carrier_uint extract_significand_bits(carrier_uint u) noexcept 
    {
        return static_cast<carrier_uint>(u & static_cast<carrier_uint>((static_cast<carrier_uint>(1) << format::significand_bits) - 1));
    }

    // Remove the exponent bits and extract significand bits together with the sign bit.
    static constexpr carrier_uint remove_exponent_bits(carrier_uint u, unsigned exponent_bits) noexcept
    {
        return u ^ (static_cast<carrier_uint>(exponent_bits) << format::significand_bits);
    }

    // Shift the obtained signed significand bits to the left by 1 to remove the sign bit.
    static constexpr carrier_uint remove_sign_bit_and_shift(carrier_uint u) noexcept
    {
        return static_cast<carrier_uint>(static_cast<carrier_uint>(u) << 1);
    }

    // The actual value of exponent is obtained by adding this value to the extracted exponent bits
    static constexpr int exponent_bias = 1 - (1 << (carrier_bits - format::significand_bits - 2));

    // Obtain the actual value of the binary exponent from the extracted exponent bits.
    static constexpr int binary_exponent(unsigned exponent_bits) noexcept 
    {
        return exponent_bits == 0 ? format::min_exponent : static_cast<int>(exponent_bits) + format::exponent_bias;
    }

    // Obtain the actual value of the binary exponent from the extracted significand bits and
    // exponent bits.
    static constexpr carrier_uint binary_significand(carrier_uint significand_bits, unsigned exponent_bits) noexcept 
    {
        return exponent_bits == 0 ? significand_bits : (significand_bits | (static_cast<carrier_uint>(1) << format::significand_bits));
    }


    // Various boolean observer functions

    static constexpr bool is_nonzero(carrier_uint u) noexcept { return (u << 1) != 0; }
    
    static constexpr bool is_positive(carrier_uint u) noexcept 
    {
        return u < static_cast<carrier_uint>(1) << (format::significand_bits + format::exponent_bits);
    }
    
    static constexpr bool is_negative(carrier_uint u) noexcept { return !is_positive(u); }
    
    static constexpr bool is_finite(unsigned exponent_bits) noexcept
    {
        //constexpr unsigned exponent_bits_all_set = (1u << format::exponent_bits) - 1;
        return exponent_bits != (1u << format::exponent_bits) - 1;
    }
    
    static constexpr bool has_all_zero_significand_bits(carrier_uint u) noexcept
    {
        return (u << 1) == 0;
    }
    
    static constexpr bool has_even_significand_bits(carrier_uint u) noexcept
    {
        return u % 2 == 0;
    }
};

// Convenient wrappers for floating-point traits classes.
// In order to reduce the argument passing overhead, these classes should be as simple as
// possible (e.g., no inheritance, no private non-static data member, etc.; this is an
// unfortunate fact about common ABI convention).

template <typename T, typename Traits = default_float_traits<T>>
struct float_bits;

template <typename T, typename Traits = default_float_traits<T>>
struct signed_significand_bits;

template <typename T, typename Traits>
struct float_bits
{
    using type = T;
    using traits_type = Traits;
    using carrier_uint = typename traits_type::carrier_uint;

    carrier_uint u;

    float_bits() = default;
    constexpr explicit float_bits(carrier_uint bit_pattern) noexcept : u{bit_pattern} {}
    constexpr explicit float_bits(T float_value) noexcept : u{traits_type::float_to_carrier(float_value)} {}

    constexpr T to_float() const noexcept { return traits_type::carrier_to_float(u); }

    // Extract exponent bits from a bit pattern.
    // The result must be aligned to the LSB so that there is no additional zero paddings
    // on the right. This function does not do bias adjustment.
    constexpr unsigned extract_exponent_bits() const noexcept
    {
        return traits_type::extract_exponent_bits(u);
    }

    // Extract significand bits from a bit pattern.
    // The result must be aligned to the LSB so that there is no additional zero paddings
    // on the right. The result does not contain the implicit bit.
    constexpr carrier_uint extract_significand_bits() const noexcept
    {
        return traits_type::extract_significand_bits(u);
    }

    // Remove the exponent bits and extract significand bits together with the sign bit.
    constexpr signed_significand_bits<type, traits_type> remove_exponent_bits(unsigned exponent_bits) const noexcept 
    {
        return signed_significand_bits<type, traits_type>(traits_type::remove_exponent_bits(u, exponent_bits));
    }

    // Obtain the actual value of the binary exponent from the extracted exponent bits.
    static constexpr int binary_exponent(unsigned exponent_bits) noexcept 
    {
        return traits_type::binary_exponent(exponent_bits);
    }

    constexpr int binary_exponent() const noexcept
    {
        return binary_exponent(extract_exponent_bits());
    }

    // Obtain the actual value of the binary exponent from the extracted significand bits and
    // exponent bits.
    static constexpr carrier_uint binary_significand(carrier_uint significand_bits, unsigned exponent_bits) noexcept 
    {
        return traits_type::binary_significand(significand_bits, exponent_bits);
    }

    constexpr carrier_uint binary_significand() const noexcept 
    {
        return binary_significand(extract_significand_bits(), extract_exponent_bits());
    }

    constexpr bool is_nonzero() const noexcept { return traits_type::is_nonzero(u); }
    
    constexpr bool is_positive() const noexcept { return traits_type::is_positive(u); }
    
    constexpr bool is_negative() const noexcept { return traits_type::is_negative(u); }
    
    constexpr bool is_finite(unsigned exponent_bits) const noexcept { return traits_type::is_finite(exponent_bits); }
    
    constexpr bool is_finite() const noexcept { return traits_type::is_finite(extract_exponent_bits()); }
    
    constexpr bool has_even_significand_bits() const noexcept { return traits_type::has_even_significand_bits(u); }
};

template <typename T, typename Traits>
struct signed_significand_bits 
{
    using type = T;
    using traits_type = Traits;
    using carrier_uint = typename traits_type::carrier_uint;

    carrier_uint u;

    signed_significand_bits() = default;
    constexpr explicit signed_significand_bits(carrier_uint bit_pattern) noexcept
        : u{bit_pattern} {}

    // Shift the obtained signed significand bits to the left by 1 to remove the sign bit.
    constexpr carrier_uint remove_sign_bit_and_shift() const noexcept 
    {
        return traits_type::remove_sign_bit_and_shift(u);
    }

    constexpr bool is_positive() const noexcept { return traits_type::is_positive(u); }
    
    constexpr bool is_negative() const noexcept { return traits_type::is_negative(u); }
    
    constexpr bool has_all_zero_significand_bits() const noexcept 
    {
        return traits_type::has_all_zero_significand_bits(u);
    }
    
    constexpr bool has_even_significand_bits() const noexcept
    {
        return traits_type::has_even_significand_bits(u);
    }
};

////////////////////////////////////////////////////////////////////////////////////////
// Some simple utilities for constexpr computation.
////////////////////////////////////////////////////////////////////////////////////////

template <class Int, class Int2>
BOOST_CHARCONV_CXX14_CONSTEXPR Int compute_power(Int a, Int2 exp) noexcept
{
    BOOST_CHARCONV_ASSERT(exp >= 0);

    Int res = 1;
    while (exp > 0)
    {
        if (exp % 2 != 0)
        {
            res *= a;
        }

        a *= a;
        exp >>= 1;
    }
    return res;
}

static constexpr std::uint64_t power_of_10[] = {
    UINT64_C(1), UINT64_C(10), UINT64_C(100), UINT64_C(1000), UINT64_C(10000), 
    UINT64_C(100000), UINT64_C(1000000), UINT64_C(10000000), UINT64_C(100000000),
    UINT64_C(1000000000), UINT64_C(10000000000), UINT64_C(100000000000), UINT64_C(1000000000000),
    UINT64_C(10000000000000), UINT64_C(100000000000000), UINT64_C(1000000000000000), 
    UINT64_C(10000000000000000), UINT64_C(100000000000000000), UINT64_C(1000000000000000000), 
    UINT64_C(10000000000000000000)
};

static_assert(sizeof(power_of_10) == 20 * sizeof(std::uint64_t), "There should be the first 20 powers of 10");


template <unsigned a, typename UInt>
BOOST_CHARCONV_CXX14_CONSTEXPR int count_factors(UInt n) noexcept
{
    int c = 0;

    while (n % a == 0)
    {
        n /= a;
        ++c;
    }
    return c;
}

////////////////////////////////////////////////////////////////////////////////////////
// Utilities for fast/constexpr log computation.
////////////////////////////////////////////////////////////////////////////////////////

namespace log  {
static_assert((-1 >> 1) == -1, "right-shift for signed integers must be arithmetic");

// Compute floor(e * c - s).
enum class multiply : std::uint32_t {};
enum class subtract : std::uint32_t {};
enum class shift : std::size_t {};
enum class min_exponent : std::int32_t {};
enum class max_exponent : std::int32_t {};

template <multiply m, subtract f, shift k, min_exponent e_min, max_exponent e_max>
constexpr int compute(int e) noexcept
{
    return static_cast<int>((std::int32_t(e) * std::int32_t(m) - std::int32_t(f)) >> std::size_t(k));
}

// For constexpr computation.
// Returns -1 when n = 0.
template <class UInt>
BOOST_CHARCONV_CXX14_CONSTEXPR int floor_log2(UInt n) noexcept
{
    int count = -1;
    while (n != 0) 
    {
        ++count;
        n >>= 1;
    }
    
    return count;
}

static constexpr int floor_log10_pow2_min_exponent = -2620;

static constexpr int floor_log10_pow2_max_exponent = 2620;

constexpr int floor_log10_pow2(int e) noexcept
{
    using namespace log;
    return compute<multiply(315653), subtract(0), shift(20),
                    min_exponent(floor_log10_pow2_min_exponent),
                    max_exponent(floor_log10_pow2_max_exponent)>(e);
}

static constexpr int floor_log2_pow10_min_exponent = -1233;

static constexpr int floor_log2_pow10_max_exponent = 1233;

constexpr int floor_log2_pow10(int e) noexcept 
{
    using namespace log;
    return compute<multiply(1741647), subtract(0), shift(19),
                    min_exponent(floor_log2_pow10_min_exponent),
                    max_exponent(floor_log2_pow10_max_exponent)>(e);
}

static constexpr int floor_log10_pow2_minus_log10_4_over_3_min_exponent = -2985;

static constexpr int floor_log10_pow2_minus_log10_4_over_3_max_exponent = 2936;

constexpr int floor_log10_pow2_minus_log10_4_over_3(int e) noexcept
{
    using namespace log;
    return compute<multiply(631305), subtract(261663), shift(21),
                    min_exponent(floor_log10_pow2_minus_log10_4_over_3_min_exponent),
                    max_exponent(floor_log10_pow2_minus_log10_4_over_3_max_exponent)>(e);
}

static constexpr int floor_log5_pow2_min_exponent = -1831;

static constexpr int floor_log5_pow2_max_exponent = 1831;

constexpr int floor_log5_pow2(int e) noexcept
{
    using namespace log;
    return compute<multiply(225799), subtract(0), shift(19),
                    min_exponent(floor_log5_pow2_min_exponent),
                    max_exponent(floor_log5_pow2_max_exponent)>(e);
}

static constexpr int floor_log5_pow2_minus_log5_3_min_exponent = -3543;

static constexpr int floor_log5_pow2_minus_log5_3_max_exponent = 2427;

constexpr int floor_log5_pow2_minus_log5_3(int e) noexcept 
{
    using namespace log;
    return compute<multiply(451597), subtract(715764), shift(20),
                    min_exponent(floor_log5_pow2_minus_log5_3_min_exponent),
                    max_exponent(floor_log5_pow2_minus_log5_3_max_exponent)>(e);
}
} // Namespace log

template <bool b>
struct main_cache_holder_impl
{
    using cache_entry_type = boost::charconv::detail::uint128;
    static constexpr int cache_bits = 128;
    static constexpr int min_k = -292;
    static constexpr int max_k = 326;
    static constexpr cache_entry_type cache[] = {
        {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},
        {0xb080392cc4349dec, 0xbd8d794d96aacfb4}, {0xdca04777f541c567, 0xecf0d7a0fc5583a1},
        {0x89e42caaf9491b60, 0xf41686c49db57245}, {0xac5d37d5b79b6239, 0x311c2875c522ced6},
        {0xd77485cb25823ac7, 0x7d633293366b828c}, {0x86a8d39ef77164bc, 0xae5dff9c02033198},
        {0xa8530886b54dbdeb, 0xd9f57f830283fdfd}, {0xd267caa862a12d66, 0xd072df63c324fd7c},
        {0x8380dea93da4bc60, 0x4247cb9e59f71e6e}, {0xa46116538d0deb78, 0x52d9be85f074e609},
        {0xcd795be870516656, 0x67902e276c921f8c}, {0x806bd9714632dff6, 0x00ba1cd8a3db53b7},
        {0xa086cfcd97bf97f3, 0x80e8a40eccd228a5}, {0xc8a883c0fdaf7df0, 0x6122cd128006b2ce},
        {0xfad2a4b13d1b5d6c, 0x796b805720085f82}, {0x9cc3a6eec6311a63, 0xcbe3303674053bb1},
        {0xc3f490aa77bd60fc, 0xbedbfc4411068a9d}, {0xf4f1b4d515acb93b, 0xee92fb5515482d45},
        {0x991711052d8bf3c5, 0x751bdd152d4d1c4b}, {0xbf5cd54678eef0b6, 0xd262d45a78a0635e},
        {0xef340a98172aace4, 0x86fb897116c87c35}, {0x9580869f0e7aac0e, 0xd45d35e6ae3d4da1},
        {0xbae0a846d2195712, 0x8974836059cca10a}, {0xe998d258869facd7, 0x2bd1a438703fc94c},
        {0x91ff83775423cc06, 0x7b6306a34627ddd0}, {0xb67f6455292cbf08, 0x1a3bc84c17b1d543},
        {0xe41f3d6a7377eeca, 0x20caba5f1d9e4a94}, {0x8e938662882af53e, 0x547eb47b7282ee9d},
        {0xb23867fb2a35b28d, 0xe99e619a4f23aa44}, {0xdec681f9f4c31f31, 0x6405fa00e2ec94d5},
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        {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}};
};

#if (defined(BOOST_NO_CXX17_INLINE_VARIABLES) && (!defined(BOOST_MSVC) || BOOST_MSVC != 1900)) || \
    (defined(__clang_major__) && __clang_major__ == 5)

template <bool b> constexpr int main_cache_holder_impl<b>::cache_bits;
template <bool b> constexpr int main_cache_holder_impl<b>::min_k;
template <bool b> constexpr int main_cache_holder_impl<b>::max_k;
template <bool b> constexpr typename main_cache_holder_impl<b>::cache_entry_type main_cache_holder_impl<b>::cache[];

#endif

using main_cache_holder = main_cache_holder_impl<true>;

// Compressed cache for double
struct compressed_cache_detail 
{
    static constexpr int compression_ratio = 27;
    static constexpr std::size_t compressed_table_size = (main_cache_holder::max_k - main_cache_holder::min_k + compression_ratio) /
                                                         compression_ratio;

    struct cache_holder_t 
    {
        static constexpr uint128 table[] = {
            {0xff77b1fcbebcdc4f, 0x25e8e89c13bb0f7b},
            {0xa5178fff668ae0b6, 0x626e974dbe39a873},
            {0x855c3be0a17fcd26, 0x5cf2eea09a550680},
            {0xd77485cb25823ac7, 0x7d633293366b828c},
            {0xae0b158b4738705e, 0x9624ab50b148d446},
            {0x8c974f7383725573, 0x1e414218c73a13fc},
            {0xe3231912d5bf60e6, 0x10e1fff697ed6c6a},
            {0xb77ada0617e3bbcb, 0x09ce6ebb40173745},
            {0x9436c0760c86e30b, 0xf9a0b6720aaf6522},
            {0xef73d256a5c0f77c, 0x963e66858f6d4441},
            {0xc16d9a0095928a27, 0x75b7053c0f178294},
            {0x9c40000000000000, 0x0000000000000000},
            {0xfc6f7c4045812296, 0x4d00000000000000},
            {0xcbea6f8ceb02bb39, 0x9bf4f8a69f764491},
            {0xa4b8cab1a1563f52, 0x577001b891185939},
            {0x850fadc09923329e, 0x03e2cf6bc604ddb1},
            {0xd6f8d7509292d603, 0x45a9d2845d3c42b7},
            {0xada72ccc20054ae9, 0xaf561aa79a10ae6b},
            {0x8c469ab843b89562, 0x93956d7478ccec8f},
            {0xe2a0b5dc971f303a, 0x2e44ae64840fd61e},
            {0xb7118682dbb66a77, 0x3fbc8c33221dc2a2},
            {0x93e1ab8252f33b45, 0xcabb90e5c942b504},
            {0xeeea5d5004981478, 0x1858ccfce06cac75},
        };

        static_assert(sizeof(table) == compressed_table_size * sizeof(uint128), "Table should have 23 elements");
    };

    struct pow5_holder_t 
    {
        static constexpr std::uint64_t table[] = {
            1, 5, 25, 125, 625, 3125, 15625, 78125, 390625, 1953125, 9765625, 48828125, 244140625, 1220703125,
            6103515625, 30517578125, 152587890625, 762939453125, 3814697265625, 19073486328125, 95367431640625,
            476837158203125, 2384185791015625, 11920928955078125, 59604644775390625, 298023223876953125, 1490116119384765625
        };

        static_assert(sizeof(table) == compression_ratio * sizeof(std::uint64_t), "Table should have 27 elements");
    };
};

}}}

#endif // BOOST_CHARCONV_DETAIL_DRAGONBOX_COMMON_HPP