// Copyright 2024 Matt Borland
// Distributed under the Boost Software License, Version 1.0.
// https://www.boost.org/LICENSE_1_0.txt

#ifndef BOOST_DECIMAL_decimal_fast128_t_HPP
#define BOOST_DECIMAL_decimal_fast128_t_HPP

#include <boost/decimal/fwd.hpp>
#include <boost/decimal/detail/attributes.hpp>
#include <boost/decimal/detail/apply_sign.hpp>
#include <boost/decimal/detail/bit_cast.hpp>
#include <boost/decimal/detail/config.hpp>
#include "detail/int128.hpp"
#include <boost/decimal/detail/fenv_rounding.hpp>
#include <boost/decimal/detail/integer_search_trees.hpp>
#include <boost/decimal/detail/parser.hpp>
#include <boost/decimal/detail/power_tables.hpp>
#include <boost/decimal/detail/ryu/ryu_generic_128.hpp>
#include <boost/decimal/detail/type_traits.hpp>
#include <boost/decimal/detail/utilities.hpp>
#include <boost/decimal/detail/normalize.hpp>
#include <boost/decimal/detail/comparison.hpp>
#include <boost/decimal/detail/mixed_decimal_arithmetic.hpp>
#include <boost/decimal/detail/to_integral.hpp>
#include <boost/decimal/detail/to_float.hpp>
#include <boost/decimal/detail/to_decimal.hpp>
#include <boost/decimal/detail/promotion.hpp>
#include <boost/decimal/detail/check_non_finite.hpp>
#include <boost/decimal/detail/shrink_significand.hpp>
#include <boost/decimal/detail/cmath/isfinite.hpp>
#include <boost/decimal/detail/cmath/fpclassify.hpp>
#include <boost/decimal/detail/cmath/abs.hpp>
#include <boost/decimal/detail/cmath/floor.hpp>
#include <boost/decimal/detail/cmath/ceil.hpp>
#include <boost/decimal/detail/add_impl.hpp>
#include <boost/decimal/detail/mul_impl.hpp>
#include <boost/decimal/detail/div_impl.hpp>
#include <boost/decimal/detail/cmath/next.hpp>
#include <boost/decimal/detail/to_chars_result.hpp>
#include <boost/decimal/detail/chars_format.hpp>
#include <boost/decimal/detail/components.hpp>
#include <boost/decimal/detail/construction_sign.hpp>
#include <boost/decimal/detail/from_chars_impl.hpp>
#include <boost/decimal/detail/mod_impl.hpp>

#ifndef BOOST_DECIMAL_BUILD_MODULE

#include <limits>
#include <cstdint>

#endif

namespace boost {
namespace decimal {

namespace detail {

BOOST_DECIMAL_INLINE_CONSTEXPR_VARIABLE auto d128_fast_inf_high_bits {UINT64_C(0b1) << 61U};
BOOST_DECIMAL_INLINE_CONSTEXPR_VARIABLE auto d128_fast_qnan_high_bits {UINT64_C(0b11) << 61U};
BOOST_DECIMAL_INLINE_CONSTEXPR_VARIABLE auto d128_fast_snan_high_bits {UINT64_C(0b111) << 61U};

BOOST_DECIMAL_INLINE_CONSTEXPR_VARIABLE auto d128_fast_inf = boost::int128::uint128_t {d128_fast_inf_high_bits, 0U};
BOOST_DECIMAL_INLINE_CONSTEXPR_VARIABLE auto d128_fast_qnan = boost::int128::uint128_t {d128_fast_qnan_high_bits, 0U};
BOOST_DECIMAL_INLINE_CONSTEXPR_VARIABLE auto d128_fast_snan = boost::int128::uint128_t {d128_fast_snan_high_bits, 0U};

template <BOOST_DECIMAL_DECIMAL_FLOATING_TYPE TargetDecimalType>
constexpr auto to_chars_scientific_impl(char* first, char* last, const TargetDecimalType& value, chars_format fmt) noexcept -> to_chars_result;

template <BOOST_DECIMAL_DECIMAL_FLOATING_TYPE TargetDecimalType>
constexpr auto to_chars_fixed_impl(char* first, char* last, const TargetDecimalType& value, const chars_format fmt) noexcept -> to_chars_result;

template <BOOST_DECIMAL_DECIMAL_FLOATING_TYPE TargetDecimalType>
constexpr auto to_chars_hex_impl(char* first, char* last, const TargetDecimalType& value) noexcept -> to_chars_result;

template <BOOST_DECIMAL_DECIMAL_FLOATING_TYPE TargetDecimalType>
constexpr auto to_chars_cohort_preserving_scientific(char* first, char* last, const TargetDecimalType& value) noexcept -> to_chars_result;

template <typename TargetDecimalType, bool is_snan>
constexpr auto write_payload(typename TargetDecimalType::significand_type payload_value)
    BOOST_DECIMAL_REQUIRES(detail::is_fast_type_v, TargetDecimalType);

} // namespace detail

#ifdef _MSC_VER
#  pragma warning(push)
#  pragma warning(disable : 4324) // Structure was padded due to alignment specifier
#endif

BOOST_DECIMAL_EXPORT class alignas(16) decimal_fast128_t final
{
public:
    using significand_type = int128::uint128_t;
    using exponent_type = std::uint32_t;
    using biased_exponent_type = std::int32_t;

private:
    // Instead of having to encode and decode at every operation
    // we store the constituent pieces directly

    significand_type significand_ {};
    exponent_type exponent_ {};
    bool sign_ {};
    char pad_[11] {};

    constexpr auto isneg() const noexcept -> bool
    {
        return sign_;
    }

    constexpr auto full_significand() const noexcept -> significand_type
    {
        return significand_;
    }

    constexpr auto unbiased_exponent() const noexcept -> exponent_type
    {
        return exponent_;
    }

    constexpr auto biased_exponent() const noexcept -> biased_exponent_type
    {
        return static_cast<biased_exponent_type>(exponent_) - detail::bias_v<decimal_fast128_t>;
    }

    constexpr auto to_components() const noexcept -> detail::decimal_fast128_t_components
    {
        return {full_significand(), biased_exponent(), isneg()};
    }

    template <typename Decimal, typename TargetType>
    friend constexpr auto to_integral_128(Decimal val) noexcept
        BOOST_DECIMAL_REQUIRES_TWO_RETURN(detail::is_decimal_floating_point_v, Decimal, detail::is_integral_v, TargetType, TargetType);

    template <typename Decimal, typename TargetType>
    friend BOOST_DECIMAL_CXX20_CONSTEXPR auto to_float(Decimal val) noexcept
        BOOST_DECIMAL_REQUIRES_TWO_RETURN(detail::is_decimal_floating_point_v, Decimal, detail::is_floating_point_v, TargetType, TargetType);

    template <BOOST_DECIMAL_DECIMAL_FLOATING_TYPE TargetType, BOOST_DECIMAL_DECIMAL_FLOATING_TYPE Decimal>
        friend constexpr auto to_decimal(Decimal val) noexcept -> TargetType;

    friend constexpr auto d128f_div_impl(const decimal_fast128_t& lhs, const decimal_fast128_t& rhs, decimal_fast128_t& q, decimal_fast128_t& r) noexcept -> void;

    // Equality template between any integer type and decimal128_t
    template <BOOST_DECIMAL_DECIMAL_FLOATING_TYPE Decimal, BOOST_DECIMAL_INTEGRAL Integer>
    friend constexpr auto mixed_equality_impl(Decimal lhs, Integer rhs) noexcept
        -> std::enable_if_t<(detail::is_decimal_floating_point_v<Decimal> && detail::is_integral_v<Integer>), bool>;

    template <BOOST_DECIMAL_DECIMAL_FLOATING_TYPE Decimal1, BOOST_DECIMAL_DECIMAL_FLOATING_TYPE Decimal2>
    friend constexpr auto mixed_decimal_equality_impl(Decimal1 lhs, Decimal2 rhs) noexcept
        -> std::enable_if_t<(detail::is_decimal_floating_point_v<Decimal1> &&
                             detail::is_decimal_floating_point_v<Decimal2>), bool>;

    // Template to compare operator< for any integer type and decimal128_t
    template <BOOST_DECIMAL_DECIMAL_FLOATING_TYPE Decimal, BOOST_DECIMAL_INTEGRAL Integer>
    friend constexpr auto less_impl(Decimal lhs, Integer rhs) noexcept
        -> std::enable_if_t<(detail::is_decimal_floating_point_v<Decimal> && detail::is_integral_v<Integer>), bool>;

    template <BOOST_DECIMAL_DECIMAL_FLOATING_TYPE Decimal1, BOOST_DECIMAL_DECIMAL_FLOATING_TYPE Decimal2>
    friend constexpr auto mixed_decimal_less_impl(Decimal1 lhs, Decimal2 rhs) noexcept
        -> std::enable_if_t<(detail::is_decimal_floating_point_v<Decimal1> &&
                             detail::is_decimal_floating_point_v<Decimal2>), bool>;

    template <typename T>
    friend constexpr auto ilogb(T d) noexcept
        BOOST_DECIMAL_REQUIRES_RETURN(detail::is_decimal_floating_point_v, T, int);

    template <typename T>
    friend constexpr auto logb(T num) noexcept
        BOOST_DECIMAL_REQUIRES(detail::is_decimal_floating_point_v, T);

    friend constexpr auto not_finite(const decimal_fast128_t& val) noexcept -> bool;

    template <typename DecimalType>
    friend constexpr auto to_dpd_d128(DecimalType val) noexcept
    BOOST_DECIMAL_REQUIRES_RETURN(detail::is_decimal_floating_point_v, DecimalType, int128::uint128_t);

    template <BOOST_DECIMAL_FAST_DECIMAL_FLOATING_TYPE DecimalType>
    BOOST_DECIMAL_FORCE_INLINE friend constexpr auto fast_equality_impl(const DecimalType& lhs, const DecimalType& rhs) noexcept -> bool;

    template <BOOST_DECIMAL_FAST_DECIMAL_FLOATING_TYPE DecimalType>
    BOOST_DECIMAL_FORCE_INLINE friend constexpr auto fast_inequality_impl(const DecimalType& lhs, const DecimalType& rhs) noexcept -> bool;

    template <BOOST_DECIMAL_FAST_DECIMAL_FLOATING_TYPE DecimalType>
    BOOST_DECIMAL_FORCE_INLINE friend constexpr auto fast_less_impl(const DecimalType& lhs, const DecimalType& rhs) noexcept -> bool;

    template <BOOST_DECIMAL_DECIMAL_FLOATING_TYPE DecimalType>
    friend constexpr auto detail::nextafter_impl(DecimalType val, bool direction) noexcept -> DecimalType;

    template <BOOST_DECIMAL_DECIMAL_FLOATING_TYPE TargetDecimalType>
    friend constexpr auto detail::to_chars_scientific_impl(char* first, char* last, const TargetDecimalType& value, chars_format fmt) noexcept -> to_chars_result;

    template <BOOST_DECIMAL_DECIMAL_FLOATING_TYPE TargetDecimalType>
    friend constexpr auto detail::to_chars_fixed_impl(char* first, char* last, const TargetDecimalType& value, const chars_format fmt) noexcept -> to_chars_result;

    template <BOOST_DECIMAL_DECIMAL_FLOATING_TYPE TargetDecimalType>
    friend constexpr auto detail::to_chars_hex_impl(char* first, char* last, const TargetDecimalType& value) noexcept -> to_chars_result;

    template <BOOST_DECIMAL_DECIMAL_FLOATING_TYPE TargetDecimalType>
    friend constexpr auto detail::to_chars_cohort_preserving_scientific(char* first, char* last, const TargetDecimalType& value) noexcept -> to_chars_result;

    template <typename TargetDecimalType, bool is_snan>
    friend constexpr auto detail::write_payload(typename TargetDecimalType::significand_type payload_value)
        BOOST_DECIMAL_REQUIRES(detail::is_fast_type_v, TargetDecimalType);

    template <typename T>
    friend constexpr auto read_payload(T value) noexcept
        BOOST_DECIMAL_REQUIRES_RETURN(detail::is_fast_type_v, T, typename T::significand_type);

    #if !defined(BOOST_DECIMAL_DISABLE_CLIB)
    constexpr decimal_fast128_t(const char* str, std::size_t len);
    #endif

    friend constexpr auto nan_conversion(const decimal_fast128_t& value) noexcept -> decimal_fast128_t
    {
        constexpr auto convert_nan_mask {detail::d128_fast_qnan ^ detail::d128_fast_snan};

        decimal_fast128_t return_value {value};
        return_value.significand_ ^= convert_nan_mask;

        return return_value;
    }

    template <typename Decimal>
    friend constexpr Decimal detail::check_non_finite(Decimal lhs, Decimal rhs) noexcept;

    template <typename Decimal>
    friend constexpr Decimal detail::check_non_finite(Decimal x) noexcept;

    template <typename ReturnType, typename T>
    friend constexpr auto detail::d128_add_impl_new(const T& lhs, const T& rhs) noexcept -> ReturnType;

public:
    constexpr decimal_fast128_t() noexcept = default;

    #ifdef BOOST_DECIMAL_HAS_CONCEPTS
    template <BOOST_DECIMAL_UNSIGNED_INTEGRAL T1, BOOST_DECIMAL_INTEGRAL T2>
    #else
    template <typename T1, typename T2, std::enable_if_t<detail::is_unsigned_v<T1> && detail::is_integral_v<T2>, bool> = true>
    #endif
    constexpr decimal_fast128_t(T1 coeff, T2 exp, detail::construction_sign_wrapper resultant_sign = construction_sign::positive) noexcept;

    #ifdef BOOST_DECIMAL_HAS_CONCEPTS
    template <BOOST_DECIMAL_SIGNED_INTEGRAL T1, BOOST_DECIMAL_INTEGRAL T2>
    #else
    template <typename T1, typename T2, std::enable_if_t<!detail::is_unsigned_v<T1> && detail::is_integral_v<T2>, bool> = true>
    #endif
    constexpr decimal_fast128_t(T1, T2, bool) noexcept { static_assert(detail::is_unsigned_v<T1>, "Construction from signed integer, exponent, and sign is ambiguous, so it is disallowed. You must use an Unsigned Integer for the coefficient to construct from {coefficient, exponent, sign}"); }

    #ifdef BOOST_DECIMAL_HAS_CONCEPTS
    template <BOOST_DECIMAL_SIGNED_INTEGRAL T1, BOOST_DECIMAL_INTEGRAL T2>
    #else
    template <typename T1, typename T2, std::enable_if_t<!detail::is_unsigned_v<T1> && detail::is_integral_v<T2>, bool> = true>
    #endif
    constexpr decimal_fast128_t(T1 coeff, T2 exp) noexcept;

    explicit constexpr decimal_fast128_t(bool value) noexcept;

    #ifdef BOOST_DECIMAL_HAS_CONCEPTS
    template <BOOST_DECIMAL_INTEGRAL Integer>
    #else
    template <typename Integer, std::enable_if_t<detail::is_integral_v<Integer>, bool> = true>
    #endif
    #if !defined(BOOST_DECIMAL_ALLOW_IMPLICIT_CONVERSIONS) && !defined(BOOST_DECIMAL_ALLOW_IMPLICIT_INTEGER_CONVERSIONS)
    explicit
    #endif
    constexpr decimal_fast128_t(Integer val) noexcept;

    #ifdef BOOST_DECIMAL_HAS_CONCEPTS
    template <BOOST_DECIMAL_REAL Float>
    #else
    template <typename Float, std::enable_if_t<detail::is_floating_point_v<Float>, bool> = true>
    #endif
    #if !defined(BOOST_DECIMAL_ALLOW_IMPLICIT_CONVERSIONS) && !defined(BOOST_DECIMAL_ALLOW_IMPLICIT_FLOAT_CONVERSIONS)
    explicit
    #endif
    BOOST_DECIMAL_CXX20_CONSTEXPR decimal_fast128_t(Float val) noexcept;

    #ifdef BOOST_DECIMAL_UNSUPPORTED_LONG_DOUBLE
    explicit BOOST_DECIMAL_CXX20_CONSTEXPR decimal_fast128_t(long double val) noexcept = delete;
    #endif

    friend constexpr auto direct_init_d128(significand_type significand, exponent_type exponent, bool sign) noexcept -> decimal_fast128_t;

    #if !defined(BOOST_DECIMAL_DISABLE_CLIB)

    constexpr decimal_fast128_t(const char* str);

    #ifndef BOOST_DECIMAL_HAS_STD_STRING_VIEW
    explicit inline decimal_fast128_t(const std::string& str);
    #else
    explicit constexpr decimal_fast128_t(std::string_view str);
    #endif

    #endif // BOOST_DECIMAL_DISABLE_CLIB

    // Classification functions
    friend constexpr auto signbit(const decimal_fast128_t& val) noexcept -> bool;
    friend constexpr auto isinf(const decimal_fast128_t& val) noexcept -> bool;
    friend constexpr auto isnan(const decimal_fast128_t& val) noexcept -> bool;
    friend constexpr auto issignaling(const decimal_fast128_t& val) noexcept -> bool;
    friend constexpr auto isnormal(const decimal_fast128_t& val) noexcept -> bool;
    friend constexpr auto isfinite(const decimal_fast128_t& val) noexcept -> bool;

    // Comparison operators
    friend constexpr auto operator==(const decimal_fast128_t& lhs, const decimal_fast128_t& rhs) noexcept -> bool;
    friend constexpr auto operator!=(const decimal_fast128_t& lhs, const decimal_fast128_t& rhs) noexcept -> bool;
    friend constexpr auto operator<(const decimal_fast128_t& lhs, const decimal_fast128_t& rhs) noexcept -> bool;
    friend constexpr auto operator<=(const decimal_fast128_t& lhs, const decimal_fast128_t& rhs) noexcept -> bool;
    friend constexpr auto operator>(const decimal_fast128_t& lhs, const decimal_fast128_t& rhs) noexcept -> bool;
    friend constexpr auto operator>=(const decimal_fast128_t& lhs, const decimal_fast128_t& rhs) noexcept -> bool;

    // Mixed comparison operators
    template <typename Integer>
    friend constexpr auto operator==(const decimal_fast128_t& lhs, Integer rhs) noexcept
        BOOST_DECIMAL_REQUIRES_RETURN(detail::is_integral_v, Integer, bool);

    template <typename Integer>
    friend constexpr auto operator==(Integer lhs, const decimal_fast128_t& rhs) noexcept
        BOOST_DECIMAL_REQUIRES_RETURN(detail::is_integral_v, Integer, bool);

    template <typename Integer>
    friend constexpr auto operator!=(const decimal_fast128_t& lhs, Integer rhs) noexcept
        BOOST_DECIMAL_REQUIRES_RETURN(detail::is_integral_v, Integer, bool);

    template <typename Integer>
    friend constexpr auto operator!=(Integer lhs, const decimal_fast128_t& rhs) noexcept
        BOOST_DECIMAL_REQUIRES_RETURN(detail::is_integral_v, Integer, bool);

    template <typename Integer>
    friend constexpr auto operator<(const decimal_fast128_t& lhs, Integer rhs) noexcept
        BOOST_DECIMAL_REQUIRES_RETURN(detail::is_integral_v, Integer, bool);

    template <typename Integer>
    friend constexpr auto operator<(Integer lhs, const decimal_fast128_t& rhs) noexcept
        BOOST_DECIMAL_REQUIRES_RETURN(detail::is_integral_v, Integer, bool);

    template <typename Integer>
    friend constexpr auto operator<=(const decimal_fast128_t& lhs, Integer rhs) noexcept
        BOOST_DECIMAL_REQUIRES_RETURN(detail::is_integral_v, Integer, bool);

    template <typename Integer>
    friend constexpr auto operator<=(Integer lhs, const decimal_fast128_t& rhs) noexcept
        BOOST_DECIMAL_REQUIRES_RETURN(detail::is_integral_v, Integer, bool);

    template <typename Integer>
    friend constexpr auto operator>(const decimal_fast128_t& lhs, Integer rhs) noexcept
        BOOST_DECIMAL_REQUIRES_RETURN(detail::is_integral_v, Integer, bool);

    template <typename Integer>
    friend constexpr auto operator>(Integer lhs, const decimal_fast128_t& rhs) noexcept
        BOOST_DECIMAL_REQUIRES_RETURN(detail::is_integral_v, Integer, bool);

    template <typename Integer>
    friend constexpr auto operator>=(const decimal_fast128_t& lhs, Integer rhs) noexcept
        BOOST_DECIMAL_REQUIRES_RETURN(detail::is_integral_v, Integer, bool);

    template <typename Integer>
    friend constexpr auto operator>=(Integer lhs, const decimal_fast128_t& rhs) noexcept
        BOOST_DECIMAL_REQUIRES_RETURN(detail::is_integral_v, Integer, bool);

    #ifdef BOOST_DECIMAL_HAS_SPACESHIP_OPERATOR
    friend constexpr auto operator<=>(const decimal_fast128_t& lhs, const decimal_fast128_t& rhs) noexcept -> std::partial_ordering;

    template <typename Integer>
    friend constexpr auto operator<=>(const decimal_fast128_t& lhs, Integer rhs) noexcept
        BOOST_DECIMAL_REQUIRES_RETURN(detail::is_integral_v, Integer, std::partial_ordering);

    template <typename Integer>
    friend constexpr auto operator<=>(Integer lhs, const decimal_fast128_t& rhs) noexcept
        BOOST_DECIMAL_REQUIRES_RETURN(detail::is_integral_v, Integer, std::partial_ordering);
    #endif

    // Unary arithmetic operators
    friend constexpr auto operator+(const decimal_fast128_t& rhs) noexcept -> decimal_fast128_t;
    friend constexpr auto operator-(decimal_fast128_t rhs) noexcept -> decimal_fast128_t;

    // Increment and Decrement
    constexpr auto operator++()    noexcept -> decimal_fast128_t&;
    constexpr auto operator++(int) noexcept -> decimal_fast128_t;  // NOLINT : C++14 so constexpr implies const
    constexpr auto operator--()    noexcept -> decimal_fast128_t&;
    constexpr auto operator--(int) noexcept -> decimal_fast128_t;  // NOLINT : C++14 so constexpr implies const

    // Binary arithmetic operators
    friend constexpr auto operator+(const decimal_fast128_t& lhs, const decimal_fast128_t& rhs) noexcept -> decimal_fast128_t;
    friend constexpr auto operator-(const decimal_fast128_t& lhs, const decimal_fast128_t& rhs) noexcept -> decimal_fast128_t;
    friend constexpr auto operator*(const decimal_fast128_t& lhs, const decimal_fast128_t& rhs) noexcept -> decimal_fast128_t;
    friend constexpr auto operator/(const decimal_fast128_t& lhs, const decimal_fast128_t& rhs) noexcept -> decimal_fast128_t;
    friend constexpr auto operator%(const decimal_fast128_t& lhs, const decimal_fast128_t& rhs) noexcept -> decimal_fast128_t;

    // Mixed type binary arithmetic operators
    template <typename Integer>
    friend constexpr auto operator+(const decimal_fast128_t& lhs, Integer rhs) noexcept
        BOOST_DECIMAL_REQUIRES_RETURN(detail::is_integral_v, Integer, decimal_fast128_t);

    template <typename Integer>
    friend constexpr auto operator+(Integer lhs, const decimal_fast128_t& rhs) noexcept
        BOOST_DECIMAL_REQUIRES_RETURN(detail::is_integral_v, Integer, decimal_fast128_t);

    template <typename Integer>
    friend constexpr auto operator-(const decimal_fast128_t& lhs, Integer rhs) noexcept
        BOOST_DECIMAL_REQUIRES_RETURN(detail::is_integral_v, Integer, decimal_fast128_t);

    template <typename Integer>
    friend constexpr auto operator-(Integer lhs, const decimal_fast128_t& rhs) noexcept
        BOOST_DECIMAL_REQUIRES_RETURN(detail::is_integral_v, Integer, decimal_fast128_t);

    template <typename Integer>
    friend constexpr auto operator*(const decimal_fast128_t& lhs, Integer rhs) noexcept
        BOOST_DECIMAL_REQUIRES_RETURN(detail::is_integral_v, Integer, decimal_fast128_t);

    template <typename Integer>
    friend constexpr auto operator*(Integer lhs, const decimal_fast128_t& rhs) noexcept
        BOOST_DECIMAL_REQUIRES_RETURN(detail::is_integral_v, Integer, decimal_fast128_t);

    template <typename Integer>
    friend constexpr auto operator/(const decimal_fast128_t& lhs, Integer rhs) noexcept
        BOOST_DECIMAL_REQUIRES_RETURN(detail::is_integral_v, Integer, decimal_fast128_t);

    template <typename Integer>
    friend constexpr auto operator/(Integer lhs, const decimal_fast128_t& rhs) noexcept
        BOOST_DECIMAL_REQUIRES_RETURN(detail::is_integral_v, Integer, decimal_fast128_t);

    // Compound Arithmetic Operators
    constexpr auto operator+=(const decimal_fast128_t& rhs) noexcept -> decimal_fast128_t&;

    template <typename Integer>
    constexpr auto operator+=(Integer rhs) noexcept
        BOOST_DECIMAL_REQUIRES_RETURN(detail::is_integral_v, Integer, decimal_fast128_t&);

    constexpr auto operator-=(const decimal_fast128_t& rhs) noexcept -> decimal_fast128_t&;

    template <typename Integer>
    constexpr auto operator-=(Integer rhs) noexcept
        BOOST_DECIMAL_REQUIRES_RETURN(detail::is_integral_v, Integer, decimal_fast128_t&);

    constexpr auto operator*=(const decimal_fast128_t& rhs) noexcept -> decimal_fast128_t&;

    template <typename Integer>
    constexpr auto operator*=(Integer rhs) noexcept
        BOOST_DECIMAL_REQUIRES_RETURN(detail::is_integral_v, Integer, decimal_fast128_t&);

    constexpr auto operator/=(const decimal_fast128_t& rhs) noexcept -> decimal_fast128_t&;

    template <typename Integer>
    constexpr auto operator/=(Integer rhs) noexcept
        BOOST_DECIMAL_REQUIRES_RETURN(detail::is_integral_v, Integer, decimal_fast128_t&);

    // Conversions
    explicit constexpr operator bool() const noexcept;
    explicit constexpr operator int() const noexcept;
    explicit constexpr operator unsigned() const noexcept;
    explicit constexpr operator long() const noexcept;
    explicit constexpr operator unsigned long() const noexcept;
    explicit constexpr operator long long() const noexcept;
    explicit constexpr operator unsigned long long() const noexcept;

    #ifdef BOOST_DECIMAL_HAS_INT128
    explicit constexpr operator int128::int128_t() const noexcept;
    explicit constexpr operator int128::uint128_t() const noexcept;
    #endif

    explicit BOOST_DECIMAL_CXX20_CONSTEXPR operator float() const noexcept;
    explicit BOOST_DECIMAL_CXX20_CONSTEXPR operator double() const noexcept;

    #ifndef BOOST_DECIMAL_UNSUPPORTED_LONG_DOUBLE
    explicit BOOST_DECIMAL_CXX20_CONSTEXPR operator long double() const noexcept;
    #endif

    #ifdef BOOST_DECIMAL_HAS_FLOAT16
    explicit constexpr operator std::float16_t() const noexcept;
    #endif
    #ifdef BOOST_DECIMAL_HAS_FLOAT32
    explicit constexpr operator std::float32_t() const noexcept;
    #endif
    #ifdef BOOST_DECIMAL_HAS_FLOAT64
    explicit constexpr operator std::float64_t() const noexcept;
    #endif
    #ifdef BOOST_DECIMAL_HAS_BRAINFLOAT16
    explicit constexpr operator std::bfloat16_t() const noexcept;
    #endif

    template <BOOST_DECIMAL_DECIMAL_FLOATING_TYPE Decimal, std::enable_if_t<detail::is_decimal_floating_point_v<Decimal>, bool> = true>
    explicit constexpr operator Decimal() const noexcept;

    // <cmath> functions that are better as friends
    template <BOOST_DECIMAL_DECIMAL_FLOATING_TYPE T>
    friend constexpr auto frexp10(T num, int* expptr) noexcept -> typename T::significand_type;

    friend constexpr auto copysignd128f(decimal_fast128_t mag, decimal_fast128_t sgn) noexcept -> decimal_fast128_t;
    friend constexpr auto scalblnd128f(decimal_fast128_t num, long exp) noexcept -> decimal_fast128_t;
    friend constexpr auto scalbnd128f(decimal_fast128_t num, int exp) noexcept -> decimal_fast128_t;
    friend constexpr auto fmad128f(decimal_fast128_t x, decimal_fast128_t y, decimal_fast128_t z) noexcept -> decimal_fast128_t;

    // Decimal functions
    // 3.6.4 Same Quantum
    friend constexpr auto samequantumd128f(const decimal_fast128_t& lhs, const decimal_fast128_t& rhs) noexcept -> bool;

    // 3.6.5 Quantum exponent
    friend constexpr auto quantexpd128f(const decimal_fast128_t& x) noexcept -> int;

    // 3.6.6 Quantize
    friend constexpr auto quantized128f(const decimal_fast128_t& lhs, const decimal_fast128_t& rhs) noexcept -> decimal_fast128_t;
};

#ifdef _MSC_VER
#  pragma warning(pop)
#endif

#ifdef BOOST_DECIMAL_HAS_CONCEPTS
template <BOOST_DECIMAL_UNSIGNED_INTEGRAL T1, BOOST_DECIMAL_INTEGRAL T2>
#else
template <typename T1, typename T2, std::enable_if_t<detail::is_unsigned_v<T1> && detail::is_integral_v<T2>, bool>>
#endif
constexpr decimal_fast128_t::decimal_fast128_t(T1 coeff, T2 exp, const detail::construction_sign_wrapper resultant_sign) noexcept
{
    using minimum_coefficient_size = std::conditional_t<(sizeof(T1) > sizeof(significand_type)), T1, significand_type>;

    minimum_coefficient_size min_coeff {coeff};

    const auto is_negative {static_cast<bool>(resultant_sign)};
    sign_ = is_negative;

    // Normalize the significand in the constructor, so we don't have
    // to calculate the number of digits for operations
    detail::normalize<decimal_fast128_t>(min_coeff, exp, is_negative);

    significand_ = static_cast<significand_type>(min_coeff);

    const auto biased_exp {significand_ == 0U ? 0 : exp + detail::bias_v<decimal_fast128_t>};

    if (biased_exp > detail::max_biased_exp_v<decimal_fast128_t>)
    {
        significand_ = detail::d128_fast_inf;
    }
    else if (biased_exp >= 0)
    {
        exponent_ = static_cast<exponent_type>(biased_exp);
    }
    else
    {
        // Flush denorms to zero
        significand_ = static_cast<significand_type>(0);
        exponent_ = static_cast<exponent_type>(detail::bias_v<decimal_fast128_t>);
        sign_ = false;
    }
}

#ifdef BOOST_DECIMAL_HAS_CONCEPTS
template <BOOST_DECIMAL_SIGNED_INTEGRAL T1, BOOST_DECIMAL_INTEGRAL T2>
#else
template <typename T1, typename T2, std::enable_if_t<!detail::is_unsigned_v<T1> && detail::is_integral_v<T2>, bool>>
#endif
constexpr decimal_fast128_t::decimal_fast128_t(const T1 coeff, const T2 exp) noexcept : decimal_fast128_t(detail::make_positive_unsigned(coeff), exp, coeff < 0) {}

constexpr decimal_fast128_t::decimal_fast128_t(const bool value) noexcept : decimal_fast128_t(static_cast<significand_type>(value), 0, false) {}

#ifdef BOOST_DECIMAL_HAS_CONCEPTS
template <BOOST_DECIMAL_INTEGRAL Integer>
#else
template <typename Integer, std::enable_if_t<detail::is_integral_v<Integer>, bool>>
#endif
constexpr decimal_fast128_t::decimal_fast128_t(const Integer val) noexcept : decimal_fast128_t{val, 0} {}

#if defined(__clang__)
#  pragma clang diagnostic push
#  pragma clang diagnostic ignored "-Wfloat-equal"
#elif defined(__GNUC__)
#  pragma GCC diagnostic push
#  pragma GCC diagnostic ignored "-Wfloat-equal"
#endif

#ifdef BOOST_DECIMAL_HAS_CONCEPTS
template <BOOST_DECIMAL_REAL Float>
#else
template <typename Float, std::enable_if_t<detail::is_floating_point_v<Float>, bool>>
#endif
BOOST_DECIMAL_CXX20_CONSTEXPR decimal_fast128_t::decimal_fast128_t(const Float val) noexcept
{
    #ifndef BOOST_DECIMAL_FAST_MATH
    if (val != val)
    {
        significand_ = detail::d128_fast_qnan;
    }
    else if (val == std::numeric_limits<Float>::infinity() || val == -std::numeric_limits<Float>::infinity())
    {
        significand_ = detail::d128_fast_inf;
    }
    else
    #endif
    {
        const auto components {detail::ryu::floating_point_to_fd128(val)};
        *this = decimal_fast128_t {components.mantissa, components.exponent, components.sign};
    }
}

#if defined(__clang__)
#  pragma clang diagnostic pop
#elif defined(__GNUC__)
#  pragma GCC diagnostic pop
#endif

constexpr auto direct_init_d128(const decimal_fast128_t::significand_type significand,
                                const decimal_fast128_t::exponent_type exponent,
                                const bool sign) noexcept -> decimal_fast128_t
{
    decimal_fast128_t val {};
    val.significand_ = significand;
    val.exponent_ = exponent;
    val.sign_ = sign;

    return val;
}

namespace detail {

template <bool>
class numeric_limits_impl128f
{
public:

    static constexpr bool is_specialized = true;
    static constexpr bool is_signed = true;
    static constexpr bool is_integer = false;
    static constexpr bool is_exact = false;
    static constexpr bool has_infinity = true;
    static constexpr bool has_quiet_NaN = true;
    static constexpr bool has_signaling_NaN = true;

    // These members were deprecated in C++23
    #if ((!defined(_MSC_VER) && (__cplusplus <= 202002L)) || (defined(_MSC_VER) && (_MSVC_LANG <= 202002L)))
    static constexpr std::float_denorm_style has_denorm = std::denorm_present;
    static constexpr bool has_denorm_loss = true;
    #endif

    static constexpr std::float_round_style round_style = std::round_indeterminate;
    static constexpr bool is_iec559 = false;
    static constexpr bool is_bounded = true;
    static constexpr bool is_modulo = false;
    static constexpr int  digits = 34;
    static constexpr int  digits10 = digits;
    static constexpr int  max_digits10 = digits;
    static constexpr int  radix = 10;
    static constexpr int  min_exponent = -6143;
    static constexpr int  min_exponent10 = min_exponent;
    static constexpr int  max_exponent = 6144;
    static constexpr int  max_exponent10 = max_exponent;
    static constexpr bool traps = std::numeric_limits<std::uint64_t>::traps;
    static constexpr bool tinyness_before = true;

    // Member functions
    static constexpr auto (min)        () -> boost::decimal::decimal_fast128_t { return {UINT32_C(1), min_exponent}; }
    static constexpr auto (max)        () -> boost::decimal::decimal_fast128_t { return {boost::int128::uint128_t{UINT64_C(0x1ED09BEAD87C0), UINT64_C(0x378D8E63FFFFFFFF)}, max_exponent - digits + 1}; }
    static constexpr auto lowest       () -> boost::decimal::decimal_fast128_t { return {boost::int128::uint128_t{UINT64_C(0x1ED09BEAD87C0), UINT64_C(0x378D8E63FFFFFFFF)}, max_exponent - digits + 1, construction_sign::negative}; }
    static constexpr auto epsilon      () -> boost::decimal::decimal_fast128_t { return {UINT32_C(1), -digits + 1}; }
    static constexpr auto round_error  () -> boost::decimal::decimal_fast128_t { return epsilon(); }
    static constexpr auto infinity     () -> boost::decimal::decimal_fast128_t { return boost::decimal::direct_init_d128(boost::decimal::detail::d128_fast_inf, 0, false); }
    static constexpr auto quiet_NaN    () -> boost::decimal::decimal_fast128_t { return boost::decimal::direct_init_d128(boost::decimal::detail::d128_fast_qnan, 0, false); }
    static constexpr auto signaling_NaN() -> boost::decimal::decimal_fast128_t { return boost::decimal::direct_init_d128(boost::decimal::detail::d128_fast_snan, 0, false); }
    static constexpr auto denorm_min   () -> boost::decimal::decimal_fast128_t { return min(); }
};

#if !defined(__cpp_inline_variables) || __cpp_inline_variables < 201606L

template <bool b> constexpr bool numeric_limits_impl128f<b>::is_specialized;
template <bool b> constexpr bool numeric_limits_impl128f<b>::is_signed;
template <bool b> constexpr bool numeric_limits_impl128f<b>::is_integer;
template <bool b> constexpr bool numeric_limits_impl128f<b>::is_exact;
template <bool b> constexpr bool numeric_limits_impl128f<b>::has_infinity;
template <bool b> constexpr bool numeric_limits_impl128f<b>::has_quiet_NaN;
template <bool b> constexpr bool numeric_limits_impl128f<b>::has_signaling_NaN;

// These members were deprecated in C++23
#if ((!defined(_MSC_VER) && (__cplusplus <= 202002L)) || (defined(_MSC_VER) && (_MSVC_LANG <= 202002L)))
template <bool b> constexpr std::float_denorm_style numeric_limits_impl128f<b>::has_denorm;
template <bool b> constexpr bool numeric_limits_impl128f<b>::has_denorm_loss;
#endif

template <bool b> constexpr std::float_round_style numeric_limits_impl128f<b>::round_style;
template <bool b> constexpr bool numeric_limits_impl128f<b>::is_iec559;
template <bool b> constexpr bool numeric_limits_impl128f<b>::is_bounded;
template <bool b> constexpr bool numeric_limits_impl128f<b>::is_modulo;
template <bool b> constexpr int numeric_limits_impl128f<b>::digits;
template <bool b> constexpr int numeric_limits_impl128f<b>::digits10;
template <bool b> constexpr int numeric_limits_impl128f<b>::max_digits10;
template <bool b> constexpr int numeric_limits_impl128f<b>::radix;
template <bool b> constexpr int numeric_limits_impl128f<b>::min_exponent;
template <bool b> constexpr int numeric_limits_impl128f<b>::min_exponent10;
template <bool b> constexpr int numeric_limits_impl128f<b>::max_exponent;
template <bool b> constexpr int numeric_limits_impl128f<b>::max_exponent10;
template <bool b> constexpr bool numeric_limits_impl128f<b>::traps;
template <bool b> constexpr bool numeric_limits_impl128f<b>::tinyness_before;

#endif // !defined(__cpp_inline_variables) || __cpp_inline_variables < 201606L

} // namespace detail

} // namespace decimal
} // namespace boost

namespace std {

#ifdef __clang__
#  pragma clang diagnostic push
#  pragma clang diagnostic ignored "-Wmismatched-tags"
#endif

template <>
class numeric_limits<boost::decimal::decimal_fast128_t> :
    public boost::decimal::detail::numeric_limits_impl128f<true> {};

#ifdef __clang__
#  pragma clang diagnostic pop
#endif

} // namespace std

namespace boost {
namespace decimal {

constexpr auto signbit(const decimal_fast128_t& val) noexcept -> bool
{
    return val.sign_;
}

constexpr auto isinf(const decimal_fast128_t& val) noexcept -> bool
{
    #ifndef BOOST_DECIMAL_FAST_MATH
    return val.significand_.high == detail::d128_fast_inf_high_bits;
    #else
    static_cast<void>(val);
    return false;
    #endif
}

constexpr auto isnan(const decimal_fast128_t& val) noexcept -> bool
{
    #ifndef BOOST_DECIMAL_FAST_MATH
    return val.significand_.high >= detail::d128_fast_qnan_high_bits;
    #else
    static_cast<void>(val);
    return false;
    #endif
}

constexpr auto issignaling(const decimal_fast128_t& val) noexcept -> bool
{
    #ifndef BOOST_DECIMAL_FAST_MATH
    return val.significand_.high >= detail::d128_fast_snan_high_bits;
    #else
    static_cast<void>(val);
    return false;
    #endif
}

constexpr auto isnormal(const decimal_fast128_t& val) noexcept -> bool
{
    #ifndef BOOST_DECIMAL_FAST_MATH
    if (val.exponent_ <= static_cast<decimal_fast128_t::exponent_type>(detail::precision_v<decimal_fast128_t> - 1))
    {
        return false;
    }

    return (val.significand_ != 0U) && isfinite(val);
    #else
    return val.significand_ != 0U;
    #endif
}

constexpr auto isfinite(const decimal_fast128_t& val) noexcept -> bool
{
    #ifndef BOOST_DECIMAL_FAST_MATH
    return val.significand_.high < detail::d128_fast_inf_high_bits;
    #else
    static_cast<void>(val);
    return true;
    #endif
}

BOOST_DECIMAL_FORCE_INLINE constexpr auto not_finite(const decimal_fast128_t& val) noexcept -> bool
{
    #ifndef BOOST_DECIMAL_FAST_MATH
    return val.significand_.high >= detail::d128_fast_inf_high_bits;
    #else
    static_cast<void>(val);
    return false;
    #endif
}

constexpr auto operator==(const decimal_fast128_t& lhs, const decimal_fast128_t& rhs) noexcept -> bool
{
    return fast_equality_impl(lhs, rhs);
}

template <typename Integer>
constexpr auto operator==(const decimal_fast128_t& lhs, const Integer rhs) noexcept
    BOOST_DECIMAL_REQUIRES_RETURN(detail::is_integral_v, Integer, bool)
{
    return mixed_equality_impl(lhs, rhs);
}

template <typename Integer>
constexpr auto operator==(const Integer lhs, const decimal_fast128_t& rhs) noexcept
    BOOST_DECIMAL_REQUIRES_RETURN(detail::is_integral_v, Integer, bool)
{
    return mixed_equality_impl(rhs, lhs);
}

constexpr auto operator!=(const decimal_fast128_t& lhs, const decimal_fast128_t& rhs) noexcept -> bool
{
    return fast_inequality_impl(lhs, rhs);
}

template <typename Integer>
constexpr auto operator!=(const decimal_fast128_t& lhs, const Integer rhs) noexcept
    BOOST_DECIMAL_REQUIRES_RETURN(detail::is_integral_v, Integer, bool)
{
    return !(lhs == rhs);
}

template <typename Integer>
constexpr auto operator!=(const Integer lhs, const decimal_fast128_t& rhs) noexcept
    BOOST_DECIMAL_REQUIRES_RETURN(detail::is_integral_v, Integer, bool)
{
    return !(lhs == rhs);
}

constexpr auto operator<(const decimal_fast128_t& lhs, const decimal_fast128_t& rhs) noexcept -> bool
{
    return fast_less_impl(lhs, rhs);
}

template <typename Integer>
constexpr auto operator<(const decimal_fast128_t& lhs, const Integer rhs) noexcept
    BOOST_DECIMAL_REQUIRES_RETURN(detail::is_integral_v, Integer, bool)
{
    return less_impl(lhs, rhs);
}

template <typename Integer>
constexpr auto operator<(const Integer lhs, const decimal_fast128_t& rhs) noexcept
    BOOST_DECIMAL_REQUIRES_RETURN(detail::is_integral_v, Integer, bool)
{
    #ifndef BOOST_DECIMAL_FAST_MATH
    if (isnan(rhs))
    {
        return false;
    }
    #endif

    return !less_impl(rhs, lhs) && lhs != rhs;
}

constexpr auto operator<=(const decimal_fast128_t& lhs, const decimal_fast128_t& rhs) noexcept -> bool
{
    #ifndef BOOST_DECIMAL_FAST_MATH
    if (isnan(lhs) || isnan(rhs))
    {
        return false;
    }
    #endif

    return !(rhs < lhs);
}

template <typename Integer>
constexpr auto operator<=(const decimal_fast128_t& lhs, const Integer rhs) noexcept
    BOOST_DECIMAL_REQUIRES_RETURN(detail::is_integral_v, Integer, bool)
{
    #ifndef BOOST_DECIMAL_FAST_MATH
    if (isnan(lhs))
    {
        return false;
    }
    #endif

    return !(rhs < lhs);
}

template <typename Integer>
constexpr auto operator<=(const Integer lhs, const decimal_fast128_t& rhs) noexcept
    BOOST_DECIMAL_REQUIRES_RETURN(detail::is_integral_v, Integer, bool)
{
    #ifndef BOOST_DECIMAL_FAST_MATH
    if (isnan(rhs))
    {
        return false;
    }
    #endif

    return !(rhs < lhs);
}

constexpr auto operator>(const decimal_fast128_t& lhs, const decimal_fast128_t& rhs) noexcept -> bool
{
    return rhs < lhs;
}

template <typename Integer>
constexpr auto operator>(const decimal_fast128_t& lhs, const Integer rhs) noexcept
    BOOST_DECIMAL_REQUIRES_RETURN(detail::is_integral_v, Integer, bool)
{
    return rhs < lhs;
}

template <typename Integer>
constexpr auto operator>(const Integer lhs, const decimal_fast128_t& rhs) noexcept
    BOOST_DECIMAL_REQUIRES_RETURN(detail::is_integral_v, Integer, bool)
{
    return rhs < lhs;
}

constexpr auto operator>=(const decimal_fast128_t& lhs, const decimal_fast128_t& rhs) noexcept -> bool
{
    #ifndef BOOST_DECIMAL_FAST_MATH
    if (isnan(lhs) || isnan(rhs))
    {
        return false;
    }
    #endif

    return !(lhs < rhs);
}

template <typename Integer>
constexpr auto operator>=(const decimal_fast128_t& lhs, const Integer rhs) noexcept
BOOST_DECIMAL_REQUIRES_RETURN(detail::is_integral_v, Integer, bool)
{
    #ifndef BOOST_DECIMAL_FAST_MATH
    if (isnan(lhs))
    {
        return false;
    }
    #endif

    return !(lhs < rhs);
}

template <typename Integer>
constexpr auto operator>=(const Integer lhs, const decimal_fast128_t& rhs) noexcept
BOOST_DECIMAL_REQUIRES_RETURN(detail::is_integral_v, Integer, bool)
{
    #ifndef BOOST_DECIMAL_FAST_MATH
    if (isnan(rhs))
    {
        return false;
    }
    #endif

    return !(lhs < rhs);
}

#ifdef BOOST_DECIMAL_HAS_SPACESHIP_OPERATOR

constexpr auto operator<=>(const decimal_fast128_t& lhs, const decimal_fast128_t& rhs) noexcept -> std::partial_ordering
{
    if (lhs < rhs)
    {
        return std::partial_ordering::less;
    }
    else if (lhs > rhs)
    {
        return std::partial_ordering::greater;
    }
    else if (lhs == rhs)
    {
        return std::partial_ordering::equivalent;
    }

    return std::partial_ordering::unordered;
}

template <typename Integer>
constexpr auto operator<=>(const decimal_fast128_t& lhs, const Integer rhs) noexcept
    BOOST_DECIMAL_REQUIRES_RETURN(detail::is_integral_v, Integer, std::partial_ordering)
{
    if (lhs < rhs)
    {
        return std::partial_ordering::less;
    }
    else if (lhs > rhs)
    {
        return std::partial_ordering::greater;
    }
    else if (lhs == rhs)
    {
        return std::partial_ordering::equivalent;
    }

    return std::partial_ordering::unordered;
}

template <typename Integer>
constexpr auto operator<=>(const Integer lhs, const decimal_fast128_t& rhs) noexcept
    BOOST_DECIMAL_REQUIRES_RETURN(detail::is_integral_v, Integer, std::partial_ordering)
{
    if (lhs < rhs)
    {
        return std::partial_ordering::less;
    }
    else if (lhs > rhs)
    {
        return std::partial_ordering::greater;
    }
    else if (lhs == rhs)
    {
        return std::partial_ordering::equivalent;
    }

    return std::partial_ordering::unordered;
}

#endif

constexpr auto operator+(const decimal_fast128_t& rhs) noexcept -> decimal_fast128_t
{
    return rhs;
}

constexpr auto operator-(decimal_fast128_t rhs) noexcept -> decimal_fast128_t
{
    rhs.sign_ = !rhs.sign_;
    return rhs;
}

constexpr auto operator+(const decimal_fast128_t& lhs, const decimal_fast128_t& rhs) noexcept -> decimal_fast128_t
{
    #ifndef BOOST_DECIMAL_FAST_MATH
    if (not_finite(lhs) || not_finite(rhs))
    {
        if (isinf(lhs) && isinf(rhs) && signbit(lhs) != signbit(rhs))
        {
            return direct_init_d128(detail::d128_fast_qnan, 0, false);
        }

        return detail::check_non_finite(lhs, rhs);
    }
    #endif

    return detail::d128_add_impl_new<decimal_fast128_t>(lhs, rhs);
}

template <typename Integer>
constexpr auto operator+(const decimal_fast128_t& lhs, const Integer rhs) noexcept
    BOOST_DECIMAL_REQUIRES_RETURN(detail::is_integral_v, Integer, decimal_fast128_t)
{
    using exp_type = decimal_fast128_t::biased_exponent_type;
    using sig_type = decimal_fast128_t::significand_type;

    #ifndef BOOST_DECIMAL_FAST_MATH
    if (not_finite(lhs))
    {
        return detail::check_non_finite(lhs);
    }
    #endif

    auto sig_rhs {static_cast<sig_type>(detail::make_positive_unsigned(rhs))};
    exp_type exp_rhs {0};
    detail::normalize<decimal_fast128_t>(sig_rhs, exp_rhs);
    const detail::decimal_fast128_t_components rhs_components {sig_rhs, exp_rhs, rhs < 0};

    return detail::d128_add_impl_new<decimal_fast128_t>(lhs.to_components(), rhs_components);
}

template <typename Integer>
constexpr auto operator+(const Integer lhs, const decimal_fast128_t& rhs) noexcept
    BOOST_DECIMAL_REQUIRES_RETURN(detail::is_integral_v, Integer, decimal_fast128_t)
{
    return rhs + lhs;
}

constexpr auto operator-(const decimal_fast128_t& lhs, const decimal_fast128_t& rhs) noexcept -> decimal_fast128_t
{
    #ifndef BOOST_DECIMAL_FAST_MATH
    if (not_finite(lhs) || not_finite(rhs))
    {
        if (isinf(lhs) && isinf(rhs) && signbit(lhs) == signbit(rhs))
        {
            return direct_init_d128(detail::d128_fast_qnan, 0, false);
        }
        if (isinf(rhs) && !isnan(lhs))
        {
            return -rhs;
        }

        return detail::check_non_finite(lhs, rhs);
    }
    #endif

    return detail::d128_add_impl_new<decimal_fast128_t>(lhs, -rhs);
}

template <typename Integer>
constexpr auto operator-(const decimal_fast128_t& lhs, const Integer rhs) noexcept
    BOOST_DECIMAL_REQUIRES_RETURN(detail::is_integral_v, Integer, decimal_fast128_t)
{
    using exp_type = decimal_fast128_t::biased_exponent_type;
    using sig_type = decimal_fast128_t::significand_type;

    #ifndef BOOST_DECIMAL_FAST_MATH
    if (not_finite(lhs))
    {
        return detail::check_non_finite(lhs);
    }
    #endif

    auto sig_rhs {static_cast<sig_type>(detail::make_positive_unsigned(rhs))};
    exp_type exp_rhs {0};
    detail::normalize<decimal_fast128_t>(sig_rhs, exp_rhs);
    const detail::decimal_fast128_t_components rhs_components {sig_rhs, exp_rhs, !(rhs < 0)};

    return detail::d128_add_impl_new<decimal_fast128_t>(lhs.to_components(), rhs_components);
}

template <typename Integer>
constexpr auto operator-(const Integer lhs, const decimal_fast128_t& rhs) noexcept
    BOOST_DECIMAL_REQUIRES_RETURN(detail::is_integral_v, Integer, decimal_fast128_t)
{
    #ifndef BOOST_DECIMAL_FAST_MATH
    if (not_finite(rhs))
    {
        if (isinf(rhs))
        {
            return -rhs;
        }

        return detail::check_non_finite(rhs);
    }
    #endif

    return -rhs + lhs;
}

constexpr auto operator*(const decimal_fast128_t& lhs, const decimal_fast128_t& rhs) noexcept -> decimal_fast128_t
{
    #ifndef BOOST_DECIMAL_FAST_MATH
    if (not_finite(lhs) || not_finite(rhs))
    {
        if ((isinf(lhs) && rhs == 0) || (isinf(rhs) && lhs == 0))
        {
            return direct_init_d128(detail::d128_fast_qnan, 0, false);
        }
        else if (isinf(lhs) && !isnan(rhs) && (signbit(lhs) != signbit(rhs)))
        {
            return signbit(lhs) ? lhs : -lhs;
        }
        else if (isinf(lhs) && !isnan(rhs) && (signbit(lhs) == signbit(rhs)))
        {
            return signbit(lhs) ? -lhs : lhs;
        }
        else if (isinf(rhs) && !isnan(lhs) && (signbit(rhs) != signbit(lhs)))
        {
            return signbit(rhs) ? rhs : -rhs;
        }
        else if (isinf(rhs) && !isnan(lhs) && (signbit(rhs) == signbit(lhs)))
        {
            return signbit(rhs) ? -rhs : rhs;
        }

        return detail::check_non_finite(lhs, rhs);
    }
    #endif

    return detail::d128_mul_impl<decimal_fast128_t>(lhs.significand_, lhs.biased_exponent(), lhs.sign_,
                                                 rhs.significand_, rhs.biased_exponent(), rhs.sign_);
}

template <typename Integer>
constexpr auto operator*(const decimal_fast128_t& lhs, const Integer rhs) noexcept
    BOOST_DECIMAL_REQUIRES_RETURN(detail::is_integral_v, Integer, decimal_fast128_t)
{
    using exp_type = decimal_fast128_t::biased_exponent_type;

    #ifndef BOOST_DECIMAL_FAST_MATH
    if (not_finite(lhs))
    {
        if (isinf(lhs) && (signbit(lhs) != (rhs < 0)))
        {
            return signbit(lhs) ? lhs : -lhs;
        }
        else if (isinf(lhs) && (signbit(lhs) == (rhs < 0)))
        {
            return signbit(lhs) ? -lhs : lhs;
        }

        return detail::check_non_finite(lhs);
    }
    #endif

    auto rhs_sig {static_cast<int128::uint128_t>(detail::make_positive_unsigned(rhs))};
    exp_type rhs_exp {0};
    detail::normalize<decimal_fast128_t>(rhs_sig, rhs_exp);

    return detail::d128_fast_mul_impl<decimal_fast128_t>(
            lhs.significand_, lhs.biased_exponent(), lhs.sign_,
            rhs_sig, rhs_exp, (rhs < 0));
}

template <typename Integer>
constexpr auto operator*(const Integer lhs, const decimal_fast128_t& rhs) noexcept
    BOOST_DECIMAL_REQUIRES_RETURN(detail::is_integral_v, Integer, decimal_fast128_t)
{
    return rhs * lhs;
}

constexpr auto d128f_div_impl(const decimal_fast128_t& lhs, const decimal_fast128_t& rhs, decimal_fast128_t& q, decimal_fast128_t& r) noexcept -> void
{
    const bool sign {lhs.isneg() != rhs.isneg()};

    #ifndef BOOST_DECIMAL_FAST_MATH
    // Check pre-conditions
    constexpr decimal_fast128_t zero {0, 0};
    constexpr decimal_fast128_t nan {direct_init_d128(detail::d128_fast_qnan, 0, false)};
    constexpr decimal_fast128_t inf {direct_init_d128(detail::d128_fast_inf, 0, false)};

    const auto lhs_fp {fpclassify(lhs)};
    const auto rhs_fp {fpclassify(rhs)};

    if (lhs_fp != FP_NORMAL || rhs_fp != FP_NORMAL)
    {
        // NAN has to come first
        if (lhs_fp == FP_NAN || rhs_fp == FP_NAN)
        {
            // Operations on an SNAN return a QNAN with the same payload
            decimal_fast128_t return_nan {};
            if (lhs_fp == rhs_fp)
            {
                // They are both NANs
                const bool lhs_signaling {issignaling(lhs)};
                const bool rhs_signaling {issignaling(rhs)};

                if (!lhs_signaling && rhs_signaling)
                {
                    return_nan = nan_conversion(rhs);
                }
                else
                {
                    return_nan = lhs_signaling ? nan_conversion(lhs) : lhs;
                }
            }
            else if (lhs_fp == FP_NAN)
            {
                return_nan = issignaling(lhs) ? nan_conversion(lhs) : lhs;
            }
            else
            {
                return_nan = issignaling(rhs) ? nan_conversion(rhs) : rhs;
            }

            q = return_nan;
            r = return_nan;

            return;
        }

        switch (lhs_fp)
        {
            case FP_INFINITE:
                if (rhs_fp == FP_INFINITE)
                {
                    q = nan;
                    r = nan;
                }
                else
                {
                    q = sign ? -inf : inf;
                    r = zero;
                }
                return;
            case FP_ZERO:
                if (rhs_fp == FP_ZERO)
                {
                    q = nan;
                    r = nan;
                }
                else
                {
                    q = sign ? -zero : zero;
                    r = sign ? -zero : zero;
                }
                return;
            default:
                static_cast<void>(lhs);
        }

        switch (rhs_fp)
        {
            case FP_ZERO:
                q = inf;
                r = zero;
                return;
            case FP_INFINITE:
                q = sign ? -zero : zero;
                r = lhs;
                return;
            default:
                static_cast<void>(rhs);
        }
    }
    #else
    static_cast<void>(r);
    #endif

    #ifdef BOOST_DECIMAL_DEBUG
    std::cerr << "sig lhs: " << sig_lhs
              << "\nexp lhs: " << exp_lhs
              << "\nsig rhs: " << sig_rhs
              << "\nexp rhs: " << exp_rhs << std::endl;
    #endif

    constexpr auto ten_pow_precision {detail::pow10(int128::uint128_t(detail::precision_v<decimal_fast128_t>))};
    const auto big_sig_lhs {detail::umul256(lhs.significand_, ten_pow_precision)};

    const auto res_sig {big_sig_lhs / rhs.significand_};
    const auto res_exp {lhs.biased_exponent() - rhs.biased_exponent() - detail::precision_v<decimal_fast128_t>};

    q = decimal_fast128_t(static_cast<int128::uint128_t>(res_sig), res_exp, sign);
}

constexpr auto operator/(const decimal_fast128_t& lhs, const decimal_fast128_t& rhs) noexcept -> decimal_fast128_t
{
    decimal_fast128_t q {};
    decimal_fast128_t r {};
    d128f_div_impl(lhs, rhs, q, r);

    return q;
}

template <typename Integer>
constexpr auto operator/(const decimal_fast128_t& lhs, const Integer rhs) noexcept
    BOOST_DECIMAL_REQUIRES_RETURN(detail::is_integral_v, Integer, decimal_fast128_t)
{
    #ifndef BOOST_DECIMAL_FAST_MATH
    // Check pre-conditions
    constexpr decimal_fast128_t zero {0, 0};
    constexpr decimal_fast128_t inf {direct_init_d128(detail::d128_fast_inf, 0, false)};

    const bool sign {lhs.isneg() != (rhs < 0)};

    const auto lhs_fp {fpclassify(lhs)};

    switch (lhs_fp)
    {
        case FP_NAN:
            return issignaling(lhs) ? nan_conversion(lhs) : lhs;;
        case FP_INFINITE:
            return sign ? -lhs : lhs;
        case FP_ZERO:
            return sign ? -zero : zero;
        default:
            static_cast<void>(lhs);
    }

    if (rhs == 0)
    {
        return sign ? -inf : inf;
    }
    #endif

    const detail::decimal_fast128_t_components lhs_components {lhs.significand_, lhs.biased_exponent(), lhs.isneg()};

    const auto rhs_sig {detail::make_positive_unsigned(rhs)};
    const detail::decimal_fast128_t_components rhs_components {rhs_sig, 0, rhs < 0};
    detail::decimal_fast128_t_components q_components {};

    detail::d128_generic_div_impl(lhs_components, rhs_components, q_components);

    return {q_components.sig, q_components.exp, q_components.sign};
}

template <typename Integer>
constexpr auto operator/(const Integer lhs, const decimal_fast128_t& rhs) noexcept
    BOOST_DECIMAL_REQUIRES_RETURN(detail::is_integral_v, Integer, decimal_fast128_t)
{
    #ifndef BOOST_DECIMAL_FAST_MATH
    // Check pre-conditions
    constexpr decimal_fast128_t zero {0, 0};
    constexpr decimal_fast128_t inf {direct_init_d128(detail::d128_fast_inf, 0, false)};

    const bool sign {(lhs < 0) != rhs.isneg()};

    const auto rhs_fp {fpclassify(rhs)};

    switch (rhs_fp)
    {
        case FP_NAN:
            return issignaling(rhs) ? nan_conversion(rhs) : rhs;
        case FP_INFINITE:
            return sign ? -zero : zero;
        case FP_ZERO:
            return sign ? -inf : inf;
        default:
            static_cast<void>(lhs);
    }
    #endif

    const detail::decimal_fast128_t_components lhs_components {detail::make_positive_unsigned(lhs), 0, lhs < 0};
    const detail::decimal_fast128_t_components rhs_components {rhs.significand_, rhs.biased_exponent(), rhs.isneg()};
    detail::decimal_fast128_t_components q_components {};

    detail::d128_generic_div_impl(lhs_components, rhs_components, q_components);

    return {q_components.sig, q_components.exp, q_components.sign};
}

constexpr auto operator%(const decimal_fast128_t& lhs, const decimal_fast128_t& rhs) noexcept -> decimal_fast128_t
{
    decimal_fast128_t q {};
    decimal_fast128_t r {};
    d128f_div_impl(lhs, rhs, q, r);

    if (BOOST_DECIMAL_LIKELY(isfinite(lhs) && isfinite(rhs)))
    {
        if (rhs == 0 || isinf(q))
        {
            r = std::numeric_limits<decimal_fast128_t>::quiet_NaN();
        }
        else
        {
            detail::generic_mod_impl(lhs, lhs.to_components(), rhs, rhs.to_components(), q, r);
        }
    }
    else if (isinf(lhs) && !isnan(rhs))
    {
        // Modulo of inf is undefined
        r = std::numeric_limits<decimal_fast128_t>::quiet_NaN();
    }
    else if (issignaling(lhs))
    {
        r = nan_conversion(lhs);
    }
    else if (issignaling(rhs))
    {
        r = nan_conversion(rhs);
    }
    else if (isnan(lhs))
    {
        r = lhs;
    }
    else if (isnan(rhs))
    {
        r = rhs;
    }
    else if (isinf(rhs))
    {
        r = lhs;
    }

    return r;
}

constexpr auto decimal_fast128_t::operator+=(const decimal_fast128_t& rhs) noexcept -> decimal_fast128_t&
{
    *this = *this + rhs;
    return *this;
}

template <typename Integer>
constexpr auto decimal_fast128_t::operator+=(const Integer rhs) noexcept
    BOOST_DECIMAL_REQUIRES_RETURN(detail::is_integral_v, Integer, decimal_fast128_t&)
{
    *this = *this + rhs;
    return *this;
}

constexpr auto decimal_fast128_t::operator-=(const decimal_fast128_t& rhs) noexcept -> decimal_fast128_t&
{
    *this = *this - rhs;
    return *this;
}

template <typename Integer>
constexpr auto decimal_fast128_t::operator-=(const Integer rhs) noexcept
    BOOST_DECIMAL_REQUIRES_RETURN(detail::is_integral_v, Integer, decimal_fast128_t&)
{
    *this = *this - rhs;
    return *this;
}

constexpr auto decimal_fast128_t::operator*=(const decimal_fast128_t& rhs) noexcept -> decimal_fast128_t&
{
    *this = *this * rhs;
    return *this;
}

template <typename Integer>
constexpr auto decimal_fast128_t::operator*=(const Integer rhs) noexcept
    BOOST_DECIMAL_REQUIRES_RETURN(detail::is_integral_v, Integer, decimal_fast128_t&)
{
    *this = *this * rhs;
    return *this;
}

constexpr auto decimal_fast128_t::operator/=(const decimal_fast128_t& rhs) noexcept -> decimal_fast128_t&
{
    *this = *this / rhs;
    return *this;
}

template <typename Integer>
constexpr auto decimal_fast128_t::operator/=(const Integer rhs) noexcept
    BOOST_DECIMAL_REQUIRES_RETURN(detail::is_integral_v, Integer, decimal_fast128_t&)
{
    *this = *this / rhs;
    return *this;
}

constexpr auto decimal_fast128_t::operator++() noexcept -> decimal_fast128_t&
{
    constexpr decimal_fast128_t one {1, 0};
    *this = *this + one;
    return *this;
}

constexpr auto decimal_fast128_t::operator++(int) noexcept -> decimal_fast128_t
{
    const auto temp {*this};
    ++(*this);
    return temp;
}

constexpr auto decimal_fast128_t::operator--() noexcept -> decimal_fast128_t&
{
    constexpr decimal_fast128_t one {1, 0};
    *this = *this - one;
    return *this;
}

constexpr auto decimal_fast128_t::operator--(int) noexcept -> decimal_fast128_t
{
    const auto temp {*this};
    --(*this);
    return temp;
}

constexpr decimal_fast128_t::operator bool() const noexcept
{
    constexpr decimal_fast128_t zero {0, 0};
    return *this != zero;
}

constexpr decimal_fast128_t::operator int() const noexcept
{
    return to_integral_128<decimal_fast128_t, int>(*this);
}

constexpr decimal_fast128_t::operator unsigned() const noexcept
{
    return to_integral_128<decimal_fast128_t, unsigned>(*this);
}

constexpr decimal_fast128_t::operator long() const noexcept
{
    return to_integral_128<decimal_fast128_t, long>(*this);
}

constexpr decimal_fast128_t::operator unsigned long() const noexcept
{
    return to_integral_128<decimal_fast128_t, unsigned long>(*this);
}

constexpr decimal_fast128_t::operator long long() const noexcept
{
    return to_integral_128<decimal_fast128_t, long long>(*this);
}

constexpr decimal_fast128_t::operator unsigned long long() const noexcept
{
    return to_integral_128<decimal_fast128_t, unsigned long long>(*this);
}

#ifdef BOOST_DECIMAL_HAS_INT128

constexpr decimal_fast128_t::operator boost::int128::int128_t() const noexcept
{
    return to_integral_128<decimal_fast128_t, int128::int128_t>(*this);
}

constexpr decimal_fast128_t::operator boost::int128::uint128_t() const noexcept
{
    return to_integral_128<decimal_fast128_t, int128::uint128_t>(*this);
}

#endif // BOOST_DECIMAL_HAS_INT128

BOOST_DECIMAL_CXX20_CONSTEXPR decimal_fast128_t::operator float() const noexcept
{
    return to_float<decimal_fast128_t, float>(*this);
}

BOOST_DECIMAL_CXX20_CONSTEXPR decimal_fast128_t::operator double() const noexcept
{
    return to_float<decimal_fast128_t, double>(*this);
}

#ifndef BOOST_DECIMAL_UNSUPPORTED_LONG_DOUBLE
BOOST_DECIMAL_CXX20_CONSTEXPR decimal_fast128_t::operator long double() const noexcept
{
    return to_float<decimal_fast128_t, long double>(*this);
}
#endif

#ifdef BOOST_DECIMAL_HAS_FLOAT16
constexpr decimal_fast128_t::operator std::float16_t() const noexcept
{
    return static_cast<std::float16_t>(to_float<decimal_fast128_t, float>(*this));
}
#endif
#ifdef BOOST_DECIMAL_HAS_FLOAT32
constexpr decimal_fast128_t::operator std::float32_t() const noexcept
{
    return static_cast<std::float32_t>(to_float<decimal_fast128_t, float>(*this));
}
#endif
#ifdef BOOST_DECIMAL_HAS_FLOAT64
constexpr decimal_fast128_t::operator std::float64_t() const noexcept
{
    return static_cast<std::float64_t>(to_float<decimal_fast128_t, double>(*this));
}
#endif
#ifdef BOOST_DECIMAL_HAS_BRAINFLOAT16
constexpr decimal_fast128_t::operator std::bfloat16_t() const noexcept
{
    return static_cast<std::bfloat16_t>(to_float<decimal_fast128_t, float>(*this));
}
#endif

template <BOOST_DECIMAL_DECIMAL_FLOATING_TYPE Decimal, std::enable_if_t<detail::is_decimal_floating_point_v<Decimal>, bool>>
constexpr decimal_fast128_t::operator Decimal() const noexcept
{
    return to_decimal<Decimal>(*this);
}

constexpr auto copysignd128f(decimal_fast128_t mag, const decimal_fast128_t sgn) noexcept -> decimal_fast128_t
{
    mag.sign_ = sgn.sign_;
    return mag;
}

constexpr auto scalblnd128f(decimal_fast128_t num, const long exp) noexcept -> decimal_fast128_t
{
    #ifndef BOOST_DECIMAL_FAST_MATH
    constexpr decimal_fast128_t zero {0, 0};

    if (num == zero || exp == 0 || not_finite(num))
    {
        return num;
    }
    #endif

    num = decimal_fast128_t(num.significand_, num.biased_exponent() + exp, num.sign_);

    return num;
}

constexpr auto scalbnd128f(const decimal_fast128_t num, const int exp) noexcept -> decimal_fast128_t
{
    return scalblnd128f(num, static_cast<long>(exp));
}

// 3.6.4
// Effects: determines if the quantum exponents of x and y are the same.
// If both x and y are NaN, or infinity, they have the same quantum exponents;
// if exactly one operand is infinity or exactly one operand is NaN, they do not have the same quantum exponents.
// The samequantum functions raise no exception.
constexpr auto samequantumd128f(const decimal_fast128_t& lhs, const decimal_fast128_t& rhs) noexcept -> bool
{
    #ifndef BOOST_DECIMAL_FAST_MATH
    const auto lhs_fp {fpclassify(lhs)};
    const auto rhs_fp {fpclassify(rhs)};

    if ((lhs_fp == FP_NAN && rhs_fp == FP_NAN) || (lhs_fp == FP_INFINITE && rhs_fp == FP_INFINITE))
    {
        return true;
    }
    if ((lhs_fp == FP_NAN || rhs_fp == FP_INFINITE) || (rhs_fp == FP_NAN || lhs_fp == FP_INFINITE))
    {
        return false;
    }
    #endif

    return lhs.unbiased_exponent() == rhs.unbiased_exponent();
}

// 3.6.5
// Effects: if x is finite, returns its quantum exponent.
// Otherwise, a domain error occurs and INT_MIN is returned.
constexpr auto quantexpd128f(const decimal_fast128_t& x) noexcept -> int
{
    #ifndef BOOST_DECIMAL_FAST_MATH
    if (!isfinite(x))
    {
        return INT_MIN;
    }
    #endif

    return static_cast<int>(x.unbiased_exponent());
}

// 3.6.6
// Returns: a number that is equal in value (except for any rounding) and sign to x,
// and which has an exponent set to be equal to the exponent of y.
// If the exponent is being increased, the value is correctly rounded according to the current rounding mode;
// if the result does not have the same value as x, the "inexact" floating-point exception is raised.
// If the exponent is being decreased and the significand of the result has more digits than the type would allow,
// the "invalid" floating-point exception is raised and the result is NaN.
// If one or both operands are NaN the result is NaN.
// Otherwise, if only one operand is infinity, the "invalid" floating-point exception is raised and the result is NaN.
// If both operands are infinity, the result is DEC_INFINITY, with the same sign as x, converted to the type of x.
// The quantize functions do not signal underflow.
constexpr auto quantized128f(const decimal_fast128_t& lhs, const decimal_fast128_t& rhs) noexcept -> decimal_fast128_t
{
    #ifndef BOOST_DECIMAL_FAST_MATH
    // Return the correct type of nan
    if (isnan(lhs))
    {
        return lhs;
    }
    else if (isnan(rhs))
    {
        return rhs;
    }

    // If one is infinity then return a signaling NAN
    if (isinf(lhs) != isinf(rhs))
    {
        return boost::decimal::direct_init_d128(boost::decimal::detail::d128_fast_qnan, 0, false);
    }
    else if (isinf(lhs) && isinf(rhs))
    {
        return lhs;
    }
    #endif

    return {lhs.full_significand(), rhs.biased_exponent(), lhs.isneg()};
}

#if !defined(BOOST_DECIMAL_DISABLE_CLIB)

constexpr decimal_fast128_t::decimal_fast128_t(const char* str, const std::size_t len)
{
    if (str == nullptr || len == 0)
    {
        *this = direct_init_d128(detail::d128_fast_qnan, 0, false);
        BOOST_DECIMAL_THROW_EXCEPTION(std::runtime_error("Can not construct from invalid string"));
        return; // LCOV_EXCL_LINE
    }

    // Normally plus signs aren't allowed
    auto first {str};
    if (*first == '+')
    {
        ++first;
    }

    decimal_fast128_t v;
    const auto r {detail::from_chars_general_impl(first, str + len, v, chars_format::general)};
    if (r)
    {
        *this = v;
    }
    else
    {
        *this = direct_init_d128(detail::d128_fast_qnan, 0, false);
        BOOST_DECIMAL_THROW_EXCEPTION(std::runtime_error("Can not construct from invalid string"));
    }
}

constexpr decimal_fast128_t::decimal_fast128_t(const char* str) : decimal_fast128_t(str, detail::strlen(str)) {}

#ifndef BOOST_DECIMAL_HAS_STD_STRING_VIEW
inline decimal_fast128_t::decimal_fast128_t(const std::string& str) : decimal_fast128_t(str.c_str(), str.size()) {}
#else
constexpr decimal_fast128_t::decimal_fast128_t(std::string_view str) : decimal_fast128_t(str.data(), str.size()) {}
#endif

#endif // BOOST_DECIMAL_DISABLE_CLIB

} // namespace decimal
} // namespace boost

#endif //BOOST_DECIMAL_decimal_fast128_t_HPP