STAmount.cpp

#include <xrpl/basics/LocalValue.h>
#include <xrpl/basics/Log.h>
#include <xrpl/basics/Number.h>
#include <xrpl/basics/base_uint.h>
#include <xrpl/basics/contract.h>
#include <xrpl/basics/safe_cast.h>
#include <xrpl/beast/core/LexicalCast.h>
#include <xrpl/beast/utility/Zero.h>
#include <xrpl/beast/utility/instrumentation.h>
#include <xrpl/json/json_forwards.h>
#include <xrpl/json/json_value.h>
#include <xrpl/protocol/AccountID.h>
#include <xrpl/protocol/Asset.h>
#include <xrpl/protocol/IOUAmount.h>
#include <xrpl/protocol/Issue.h>
#include <xrpl/protocol/MPTAmount.h>
#include <xrpl/protocol/MPTIssue.h>
#include <xrpl/protocol/Protocol.h>
#include <xrpl/protocol/SField.h>
#include <xrpl/protocol/STAmount.h>
#include <xrpl/protocol/STBase.h>
#include <xrpl/protocol/STNumber.h>
#include <xrpl/protocol/Serializer.h>
#include <xrpl/protocol/SystemParameters.h>
#include <xrpl/protocol/UintTypes.h>
#include <xrpl/protocol/XRPAmount.h>
#include <xrpl/protocol/jss.h>
 
#include <boost/algorithm/string/classification.hpp>
#include <boost/algorithm/string/split.hpp>
#include <boost/multiprecision/detail/default_ops.hpp>
#include <boost/multiprecision/fwd.hpp>
#include <boost/regex/v5/regbase.hpp>
#include <boost/regex/v5/regex.hpp>
#include <boost/regex/v5/regex_fwd.hpp>
#include <boost/regex/v5/regex_match.hpp>
 
#include <algorithm>
#include <cstddef>
#include <cstdint>
#include <exception>
#include <iterator>
#include <limits>
#include <memory>
#include <stdexcept>
#include <string>
#include <utility>
#include <vector>
 
namespace xrpl {
 
static std::uint64_t const tenTo14 = 100000000000000ull;
static std::uint64_t const tenTo14m1 = tenTo14 - 1;
static std::uint64_t const tenTo17 = tenTo14 * 1000;
 
//------------------------------------------------------------------------------
static std::int64_t
getInt64Value(STAmount const& amount, bool valid, char const* error)
{
    if (!valid)
        Throw<std::runtime_error>(error);
    XRPL_ASSERT(
        amount.exponent() == 0, "xrpl::getInt64Value : exponent is zero");
 
    auto ret = static_cast<std::int64_t>(amount.mantissa());
 
    XRPL_ASSERT(
        static_cast<std::uint64_t>(ret) == amount.mantissa(),
        "xrpl::getInt64Value : mantissa must roundtrip");
 
    if (amount.negative())
        ret = -ret;
 
    return ret;
}
 
static std::int64_t
getSNValue(STAmount const& amount)
{
    return getInt64Value(amount, amount.native(), "amount is not native!");
}
 
static std::int64_t
getMPTValue(STAmount const& amount)
{
    return getInt64Value(
        amount, amount.holds<MPTIssue>(), "amount is not MPT!");
}
 
static bool
areComparable(STAmount const& v1, STAmount const& v2)
{
    if (v1.holds<Issue>() && v2.holds<Issue>())
        return v1.native() == v2.native() &&
            v1.get<Issue>().currency == v2.get<Issue>().currency;
    if (v1.holds<MPTIssue>() && v2.holds<MPTIssue>())
        return v1.get<MPTIssue>() == v2.get<MPTIssue>();
    return false;
}
 
STAmount::STAmount(SerialIter& sit, SField const& name) : STBase(name)
{
    std::uint64_t value = sit.get64();
 
    // native or MPT
    if ((value & cIssuedCurrency) == 0)
    {
        if ((value & cMPToken) != 0)
        {
            // is MPT
            mOffset = 0;
            mIsNegative = (value & cPositive) == 0;
            mValue = (value << 8) | sit.get8();
            mAsset = sit.get192();
            return;
        }
        // else is XRP
        mAsset = xrpIssue();
        // positive
        if ((value & cPositive) != 0)
        {
            mValue = value & cValueMask;
            mOffset = 0;
            mIsNegative = false;
            return;
        }
 
        // negative
        if (value == 0)
            Throw<std::runtime_error>("negative zero is not canonical");
 
        mValue = value & cValueMask;
        mOffset = 0;
        mIsNegative = true;
        return;
    }
 
    Issue issue;
    issue.currency = sit.get160();
 
    if (isXRP(issue.currency))
        Throw<std::runtime_error>("invalid native currency");
 
    issue.account = sit.get160();
 
    if (isXRP(issue.account))
        Throw<std::runtime_error>("invalid native account");
 
    // 10 bits for the offset, sign and "not native" flag
    int offset = static_cast<int>(value >> (64 - 10));
 
    value &= ~(1023ull << (64 - 10));
 
    if (value)
    {
        bool isNegative = (offset & 256) == 0;
        offset = (offset & 255) - 97;  // center the range
 
        if (value < cMinValue || value > cMaxValue || offset < cMinOffset ||
            offset > cMaxOffset)
        {
            Throw<std::runtime_error>("invalid currency value");
        }
 
        mAsset = issue;
        mValue = value;
        mOffset = offset;
        mIsNegative = isNegative;
        canonicalize();
        return;
    }
 
    if (offset != 512)
        Throw<std::runtime_error>("invalid currency value");
 
    mAsset = issue;
    mValue = 0;
    mOffset = 0;
    mIsNegative = false;
    canonicalize();
}
 
STAmount::STAmount(SField const& name, std::int64_t mantissa)
    : STBase(name), mAsset(xrpIssue()), mOffset(0)
{
    set(mantissa);
}
 
STAmount::STAmount(SField const& name, std::uint64_t mantissa, bool negative)
    : STBase(name)
    , mAsset(xrpIssue())
    , mValue(mantissa)
    , mOffset(0)
    , mIsNegative(negative)
{
    XRPL_ASSERT(
        mValue <= std::numeric_limits<std::int64_t>::max(),
        "xrpl::STAmount::STAmount(SField, std::uint64_t, bool) : maximum "
        "mantissa input");
}
 
STAmount::STAmount(SField const& name, STAmount const& from)
    : STBase(name)
    , mAsset(from.mAsset)
    , mValue(from.mValue)
    , mOffset(from.mOffset)
    , mIsNegative(from.mIsNegative)
{
    XRPL_ASSERT(
        mValue <= std::numeric_limits<std::int64_t>::max(),
        "xrpl::STAmount::STAmount(SField, STAmount) : maximum input");
    canonicalize();
}
 
//------------------------------------------------------------------------------
 
STAmount::STAmount(std::uint64_t mantissa, bool negative)
    : mAsset(xrpIssue())
    , mValue(mantissa)
    , mOffset(0)
    , mIsNegative(mantissa != 0 && negative)
{
    XRPL_ASSERT(
        mValue <= std::numeric_limits<std::int64_t>::max(),
        "xrpl::STAmount::STAmount(std::uint64_t, bool) : maximum mantissa "
        "input");
}
 
STAmount::STAmount(XRPAmount const& amount)
    : mAsset(xrpIssue()), mOffset(0), mIsNegative(amount < beast::zero)
{
    if (mIsNegative)
        mValue = unsafe_cast<std::uint64_t>(-amount.drops());
    else
        mValue = unsafe_cast<std::uint64_t>(amount.drops());
 
    canonicalize();
}
 
std::unique_ptr<STAmount>
STAmount::construct(SerialIter& sit, SField const& name)
{
    return std::make_unique<STAmount>(sit, name);
}
 
STBase*
STAmount::copy(std::size_t n, void* buf) const
{
    return emplace(n, buf, *this);
}
 
STBase*
STAmount::move(std::size_t n, void* buf)
{
    return emplace(n, buf, std::move(*this));
}
 
//------------------------------------------------------------------------------
//
// Conversion
//
//------------------------------------------------------------------------------
XRPAmount
STAmount::xrp() const
{
    if (!native())
        Throw<std::logic_error>(
            "Cannot return non-native STAmount as XRPAmount");
 
    auto drops = static_cast<XRPAmount::value_type>(mValue);
    XRPL_ASSERT(mOffset == 0, "xrpl::STAmount::xrp : amount is canonical");
 
    if (mIsNegative)
        drops = -drops;
 
    return XRPAmount{drops};
}
 
IOUAmount
STAmount::iou() const
{
    if (integral())
        Throw<std::logic_error>("Cannot return non-IOU STAmount as IOUAmount");
 
    auto mantissa = static_cast<std::int64_t>(mValue);
    auto exponent = mOffset;
 
    if (mIsNegative)
        mantissa = -mantissa;
 
    return {mantissa, exponent};
}
 
MPTAmount
STAmount::mpt() const
{
    if (!holds<MPTIssue>())
        Throw<std::logic_error>("Cannot return STAmount as MPTAmount");
 
    auto value = static_cast<MPTAmount::value_type>(mValue);
    XRPL_ASSERT(mOffset == 0, "xrpl::STAmount::mpt : amount is canonical");
 
    if (mIsNegative)
        value = -value;
 
    return MPTAmount{value};
}
 
STAmount&
STAmount::operator=(IOUAmount const& iou)
{
    XRPL_ASSERT(
        native() == false, "xrpl::STAmount::operator=(IOUAmount) : is not XRP");
    mOffset = iou.exponent();
    mIsNegative = iou < beast::zero;
    if (mIsNegative)
        mValue = static_cast<std::uint64_t>(-iou.mantissa());
    else
        mValue = static_cast<std::uint64_t>(iou.mantissa());
    return *this;
}
 
//------------------------------------------------------------------------------
//
// Operators
//
//------------------------------------------------------------------------------
 
STAmount&
STAmount::operator+=(STAmount const& a)
{
    *this = *this + a;
    return *this;
}
 
STAmount&
STAmount::operator-=(STAmount const& a)
{
    *this = *this - a;
    return *this;
}
 
STAmount
operator+(STAmount const& v1, STAmount const& v2)
{
    if (!areComparable(v1, v2))
        Throw<std::runtime_error>("Can't add amounts that are't comparable!");
 
    if (v2 == beast::zero)
        return v1;
 
    if (v1 == beast::zero)
    {
        // Result must be in terms of v1 currency and issuer.
        return {
            v1.getFName(),
            v1.asset(),
            v2.mantissa(),
            v2.exponent(),
            v2.negative()};
    }
 
    if (v1.native())
        return {v1.getFName(), getSNValue(v1) + getSNValue(v2)};
    if (v1.holds<MPTIssue>())
        return {v1.mAsset, v1.mpt().value() + v2.mpt().value()};
 
    if (getSTNumberSwitchover())
    {
        auto x = v1;
        x = v1.iou() + v2.iou();
        return x;
    }
 
    int ov1 = v1.exponent(), ov2 = v2.exponent();
    std::int64_t vv1 = static_cast<std::int64_t>(v1.mantissa());
    std::int64_t vv2 = static_cast<std::int64_t>(v2.mantissa());
 
    if (v1.negative())
        vv1 = -vv1;
 
    if (v2.negative())
        vv2 = -vv2;
 
    while (ov1 < ov2)
    {
        vv1 /= 10;
        ++ov1;
    }
 
    while (ov2 < ov1)
    {
        vv2 /= 10;
        ++ov2;
    }
 
    // This addition cannot overflow an std::int64_t. It can overflow an
    // STAmount and the constructor will throw.
 
    std::int64_t fv = vv1 + vv2;
 
    if ((fv >= -10) && (fv <= 10))
        return {v1.getFName(), v1.asset()};
 
    if (fv >= 0)
        return STAmount{
            v1.getFName(),
            v1.asset(),
            static_cast<std::uint64_t>(fv),
            ov1,
            false};
 
    return STAmount{
        v1.getFName(), v1.asset(), static_cast<std::uint64_t>(-fv), ov1, true};
}
 
STAmount
operator-(STAmount const& v1, STAmount const& v2)
{
    return v1 + (-v2);
}
 
//------------------------------------------------------------------------------
 
std::uint64_t const STAmount::uRateOne = getRate(STAmount(1), STAmount(1));
 
void
STAmount::setIssue(Asset const& asset)
{
    mAsset = asset;
}
 
// Convert an offer into an index amount so they sort by rate.
// A taker will take the best, lowest, rate first.
// (e.g. a taker will prefer pay 1 get 3 over pay 1 get 2.
// --> offerOut: takerGets: How much the offerer is selling to the taker.
// -->  offerIn: takerPays: How much the offerer is receiving from the taker.
// <--    uRate: normalize(offerIn/offerOut)
//             A lower rate is better for the person taking the order.
//             The taker gets more for less with a lower rate.
// Zero is returned if the offer is worthless.
std::uint64_t
getRate(STAmount const& offerOut, STAmount const& offerIn)
{
    if (offerOut == beast::zero)
        return 0;
    try
    {
        STAmount r = divide(offerIn, offerOut, noIssue());
        if (r == beast::zero)  // offer is too good
            return 0;
        XRPL_ASSERT(
            (r.exponent() >= -100) && (r.exponent() <= 155),
            "xrpl::getRate : exponent inside range");
        std::uint64_t ret = r.exponent() + 100;
        return (ret << (64 - 8)) | r.mantissa();
    }
    catch (std::exception const&)
    {
    }
 
    // overflow -- very bad offer
    return 0;
}
 
bool
canAdd(STAmount const& a, STAmount const& b)
{
    // cannot add different currencies
    if (!areComparable(a, b))
        return false;
 
    // special case: adding anything to zero is always fine
    if (a == beast::zero || b == beast::zero)
        return true;
 
    // XRP case (overflow & underflow check)
    if (isXRP(a) && isXRP(b))
    {
        XRPAmount A = a.xrp();
        XRPAmount B = b.xrp();
 
        if ((B > XRPAmount{0} &&
             A > XRPAmount{std::numeric_limits<XRPAmount::value_type>::max()} -
                     B) ||
            (B < XRPAmount{0} &&
             A < XRPAmount{std::numeric_limits<XRPAmount::value_type>::min()} -
                     B))
        {
            return false;
        }
        return true;
    }
 
    // IOU case (precision check)
    if (a.holds<Issue>() && b.holds<Issue>())
    {
        static STAmount const one{IOUAmount{1, 0}, noIssue()};
        static STAmount const maxLoss{IOUAmount{1, -4}, noIssue()};
        STAmount lhs = divide((a - b) + b, a, noIssue()) - one;
        STAmount rhs = divide((b - a) + a, b, noIssue()) - one;
        return ((rhs.negative() ? -rhs : rhs) +
                (lhs.negative() ? -lhs : lhs)) <= maxLoss;
    }
 
    // MPT (overflow & underflow check)
    if (a.holds<MPTIssue>() && b.holds<MPTIssue>())
    {
        MPTAmount A = a.mpt();
        MPTAmount B = b.mpt();
        if ((B > MPTAmount{0} &&
             A > MPTAmount{std::numeric_limits<MPTAmount::value_type>::max()} -
                     B) ||
            (B < MPTAmount{0} &&
             A < MPTAmount{std::numeric_limits<MPTAmount::value_type>::min()} -
                     B))
        {
            return false;
        }
 
        return true;
    }
    // LCOV_EXCL_START
    UNREACHABLE("STAmount::canAdd : unexpected STAmount type");
    return false;
    // LCOV_EXCL_STOP
}
 
bool
canSubtract(STAmount const& a, STAmount const& b)
{
    // Cannot subtract different currencies
    if (!areComparable(a, b))
        return false;
 
    // Special case: subtracting zero is always fine
    if (b == beast::zero)
        return true;
 
    // XRP case (underflow & overflow check)
    if (isXRP(a) && isXRP(b))
    {
        XRPAmount A = a.xrp();
        XRPAmount B = b.xrp();
        // Check for underflow
        if (B > XRPAmount{0} && A < B)
            return false;
 
        // Check for overflow
        if (B < XRPAmount{0} &&
            A > XRPAmount{std::numeric_limits<XRPAmount::value_type>::max()} +
                    B)
            return false;
 
        return true;
    }
 
    // IOU case (no underflow)
    if (a.holds<Issue>() && b.holds<Issue>())
    {
        return true;
    }
 
    // MPT case (underflow & overflow check)
    if (a.holds<MPTIssue>() && b.holds<MPTIssue>())
    {
        MPTAmount A = a.mpt();
        MPTAmount B = b.mpt();
 
        // Underflow check
        if (B > MPTAmount{0} && A < B)
            return false;
 
        // Overflow check
        if (B < MPTAmount{0} &&
            A > MPTAmount{std::numeric_limits<MPTAmount::value_type>::max()} +
                    B)
            return false;
        return true;
    }
    // LCOV_EXCL_START
    UNREACHABLE("STAmount::canSubtract : unexpected STAmount type");
    return false;
    // LCOV_EXCL_STOP
}
 
void
STAmount::setJson(Json::Value& elem) const
{
    elem = Json::objectValue;
 
    if (!native())
    {
        // It is an error for currency or issuer not to be specified for valid
        // json.
        elem[jss::value] = getText();
        mAsset.setJson(elem);
    }
    else
    {
        elem = getText();
    }
}
 
//------------------------------------------------------------------------------
//
// STBase
//
//------------------------------------------------------------------------------
 
SerializedTypeID
STAmount::getSType() const
{
    return STI_AMOUNT;
}
 
std::string
STAmount::getFullText() const
{
    std::string ret;
 
    ret.reserve(64);
    ret = getText() + "/" + mAsset.getText();
    return ret;
}
 
std::string
STAmount::getText() const
{
    // keep full internal accuracy, but make more human friendly if possible
    if (*this == beast::zero)
        return "0";
 
    std::string const raw_value(std::to_string(mValue));
    std::string ret;
 
    if (mIsNegative)
        ret.append(1, '-');
 
    bool const scientific(
        (mOffset != 0) && ((mOffset < -25) || (mOffset > -5)));
 
    if (native() || mAsset.holds<MPTIssue>() || scientific)
    {
        ret.append(raw_value);
 
        if (scientific)
        {
            ret.append(1, 'e');
            ret.append(std::to_string(mOffset));
        }
 
        return ret;
    }
 
    XRPL_ASSERT(mOffset + 43 > 0, "xrpl::STAmount::getText : minimum offset");
 
    size_t const pad_prefix = 27;
    size_t const pad_suffix = 23;
 
    std::string val;
    val.reserve(raw_value.length() + pad_prefix + pad_suffix);
    val.append(pad_prefix, '0');
    val.append(raw_value);
    val.append(pad_suffix, '0');
 
    size_t const offset(mOffset + 43);
 
    auto pre_from(val.begin());
    auto const pre_to(val.begin() + offset);
 
    auto const post_from(val.begin() + offset);
    auto post_to(val.end());
 
    // Crop leading zeroes. Take advantage of the fact that there's always a
    // fixed amount of leading zeroes and skip them.
    if (std::distance(pre_from, pre_to) > pad_prefix)
        pre_from += pad_prefix;
 
    XRPL_ASSERT(
        post_to >= post_from, "xrpl::STAmount::getText : first distance check");
 
    pre_from = std::find_if(pre_from, pre_to, [](char c) { return c != '0'; });
 
    // Crop trailing zeroes. Take advantage of the fact that there's always a
    // fixed amount of trailing zeroes and skip them.
    if (std::distance(post_from, post_to) > pad_suffix)
        post_to -= pad_suffix;
 
    XRPL_ASSERT(
        post_to >= post_from,
        "xrpl::STAmount::getText : second distance check");
 
    post_to = std::find_if(
                  std::make_reverse_iterator(post_to),
                  std::make_reverse_iterator(post_from),
                  [](char c) { return c != '0'; })
                  .base();
 
    // Assemble the output:
    if (pre_from == pre_to)
        ret.append(1, '0');
    else
        ret.append(pre_from, pre_to);
 
    if (post_to != post_from)
    {
        ret.append(1, '.');
        ret.append(post_from, post_to);
    }
 
    return ret;
}
 
Json::Value
STAmount::getJson(JsonOptions) const
{
    Json::Value elem;
    setJson(elem);
    return elem;
}
 
void
STAmount::add(Serializer& s) const
{
    if (native())
    {
        XRPL_ASSERT(mOffset == 0, "xrpl::STAmount::add : zero offset");
 
        if (!mIsNegative)
            s.add64(mValue | cPositive);
        else
            s.add64(mValue);
    }
    else if (mAsset.holds<MPTIssue>())
    {
        auto u8 = static_cast<unsigned char>(cMPToken >> 56);
        if (!mIsNegative)
            u8 |= static_cast<unsigned char>(cPositive >> 56);
        s.add8(u8);
        s.add64(mValue);
        s.addBitString(mAsset.get<MPTIssue>().getMptID());
    }
    else
    {
        if (*this == beast::zero)
            s.add64(cIssuedCurrency);
        else if (mIsNegative)  // 512 = not native
            s.add64(
                mValue |
                (static_cast<std::uint64_t>(mOffset + 512 + 97) << (64 - 10)));
        else  // 256 = positive
            s.add64(
                mValue |
                (static_cast<std::uint64_t>(mOffset + 512 + 256 + 97)
                 << (64 - 10)));
        s.addBitString(mAsset.get<Issue>().currency);
        s.addBitString(mAsset.get<Issue>().account);
    }
}
 
bool
STAmount::isEquivalent(STBase const& t) const
{
    STAmount const* v = dynamic_cast<STAmount const*>(&t);
    return v && (*v == *this);
}
 
bool
STAmount::isDefault() const
{
    return (mValue == 0) && native();
}
 
//------------------------------------------------------------------------------
 
// amount = mValue * [10 ^ mOffset]
// Representation range is 10^80 - 10^(-80).
//
// On the wire:
// - high bit is 0 for XRP, 1 for issued currency
// - next bit is 1 for positive, 0 for negative (except 0 issued currency, which
//      is a special case of 0x8000000000000000
// - for issued currencies, the next 8 bits are (mOffset+97).
//   The +97 is so that this value is always positive.
// - The remaining bits are significant digits (mantissa)
//   That's 54 bits for issued currency and 62 bits for native
//   (but XRP only needs 57 bits for the max value of 10^17 drops)
//
// mValue is zero if the amount is zero, otherwise it's within the range
//    10^15 to (10^16 - 1) inclusive.
// mOffset is in the range -96 to +80.
void
STAmount::canonicalize()
{
    if (integral())
    {
        // native and MPT currency amounts should always have an offset of zero
        // log(2^64,10) ~ 19.2
        if (mValue == 0 || mOffset <= -20)
        {
            mValue = 0;
            mOffset = 0;
            mIsNegative = false;
            return;
        }
 
        // log(cMaxNativeN, 10) == 17
        if (native() && mOffset > 17)
            Throw<std::runtime_error>("Native currency amount out of range");
        // log(maxMPTokenAmount, 10) ~ 18.96
        if (mAsset.holds<MPTIssue>() && mOffset > 18)
            Throw<std::runtime_error>("MPT amount out of range");
 
        if (getSTNumberSwitchover())
        {
            Number num(
                mIsNegative ? -mValue : mValue, mOffset, Number::unchecked{});
            auto set = [&](auto const& val) {
                mIsNegative = val.value() < 0;
                mValue = mIsNegative ? -val.value() : val.value();
            };
            if (native())
                set(XRPAmount{num});
            else if (mAsset.holds<MPTIssue>())
                set(MPTAmount{num});
            else
                Throw<std::runtime_error>("Unknown integral asset type");
            mOffset = 0;
        }
        else
        {
            while (mOffset < 0)
            {
                mValue /= 10;
                ++mOffset;
            }
 
            while (mOffset > 0)
            {
                // N.B. do not move the overflow check to after the
                // multiplication
                if (native() && mValue > cMaxNativeN)
                    Throw<std::runtime_error>(
                        "Native currency amount out of range");
                else if (!native() && mValue > maxMPTokenAmount)
                    Throw<std::runtime_error>("MPT amount out of range");
 
                mValue *= 10;
                --mOffset;
            }
        }
 
        if (native() && mValue > cMaxNativeN)
            Throw<std::runtime_error>("Native currency amount out of range");
        else if (!native() && mValue > maxMPTokenAmount)
            Throw<std::runtime_error>("MPT amount out of range");
 
        return;
    }
 
    if (getSTNumberSwitchover())
    {
        *this = iou();
        return;
    }
 
    if (mValue == 0)
    {
        mOffset = -100;
        mIsNegative = false;
        return;
    }
 
    while ((mValue < cMinValue) && (mOffset > cMinOffset))
    {
        mValue *= 10;
        --mOffset;
    }
 
    while (mValue > cMaxValue)
    {
        if (mOffset >= cMaxOffset)
            Throw<std::runtime_error>("value overflow");
 
        mValue /= 10;
        ++mOffset;
    }
 
    if ((mOffset < cMinOffset) || (mValue < cMinValue))
    {
        mValue = 0;
        mIsNegative = false;
        mOffset = -100;
        return;
    }
 
    if (mOffset > cMaxOffset)
        Throw<std::runtime_error>("value overflow");
 
    XRPL_ASSERT(
        (mValue == 0) || ((mValue >= cMinValue) && (mValue <= cMaxValue)),
        "xrpl::STAmount::canonicalize : value inside range");
    XRPL_ASSERT(
        (mValue == 0) || ((mOffset >= cMinOffset) && (mOffset <= cMaxOffset)),
        "xrpl::STAmount::canonicalize : offset inside range");
    XRPL_ASSERT(
        (mValue != 0) || (mOffset != -100),
        "xrpl::STAmount::canonicalize : value or offset set");
}
 
void
STAmount::set(std::int64_t v)
{
    if (v < 0)
    {
        mIsNegative = true;
        mValue = static_cast<std::uint64_t>(-v);
    }
    else
    {
        mIsNegative = false;
        mValue = static_cast<std::uint64_t>(v);
    }
}
 
//------------------------------------------------------------------------------
 
STAmount
amountFromQuality(std::uint64_t rate)
{
    if (rate == 0)
        return STAmount(noIssue());
 
    std::uint64_t mantissa = rate & ~(255ull << (64 - 8));
    int exponent = static_cast<int>(rate >> (64 - 8)) - 100;
 
    return STAmount(noIssue(), mantissa, exponent);
}
 
STAmount
amountFromString(Asset const& asset, std::string const& amount)
{
    auto const parts = partsFromString(amount);
    if ((asset.native() || asset.holds<MPTIssue>()) && parts.exponent < 0)
        Throw<std::runtime_error>(
            "XRP and MPT must be specified as integral amount.");
    return {asset, parts.mantissa, parts.exponent, parts.negative};
}
 
STAmount
amountFromJson(SField const& name, Json::Value const& v)
{
    Asset asset;
 
    Json::Value value;
    Json::Value currencyOrMPTID;
    Json::Value issuer;
    bool isMPT = false;
 
    if (v.isNull())
    {
        Throw<std::runtime_error>(
            "XRP may not be specified with a null Json value");
    }
    else if (v.isObject())
    {
        if (!validJSONAsset(v))
            Throw<std::runtime_error>("Invalid Asset's Json specification");
 
        value = v[jss::value];
        if (v.isMember(jss::mpt_issuance_id))
        {
            isMPT = true;
            currencyOrMPTID = v[jss::mpt_issuance_id];
        }
        else
        {
            currencyOrMPTID = v[jss::currency];
            issuer = v[jss::issuer];
        }
    }
    else if (v.isArray())
    {
        value = v.get(Json::UInt(0), 0);
        currencyOrMPTID = v.get(Json::UInt(1), Json::nullValue);
        issuer = v.get(Json::UInt(2), Json::nullValue);
    }
    else if (v.isString())
    {
        std::string val = v.asString();
        std::vector<std::string> elements;
        boost::split(elements, val, boost::is_any_of("\t\n\r ,/"));
 
        if (elements.size() > 3)
            Throw<std::runtime_error>("invalid amount string");
 
        value = elements[0];
 
        if (elements.size() > 1)
            currencyOrMPTID = elements[1];
 
        if (elements.size() > 2)
            issuer = elements[2];
    }
    else
    {
        value = v;
    }
 
    bool const native = !currencyOrMPTID.isString() ||
        currencyOrMPTID.asString().empty() ||
        (currencyOrMPTID.asString() == systemCurrencyCode());
 
    if (native)
    {
        if (v.isObjectOrNull())
            Throw<std::runtime_error>("XRP may not be specified as an object");
        asset = xrpIssue();
    }
    else
    {
        if (isMPT)
        {
            // sequence (32 bits) + account (160 bits)
            uint192 u;
            if (!u.parseHex(currencyOrMPTID.asString()))
                Throw<std::runtime_error>("invalid MPTokenIssuanceID");
            asset = u;
        }
        else
        {
            Issue issue;
            if (!to_currency(issue.currency, currencyOrMPTID.asString()))
                Throw<std::runtime_error>("invalid currency");
            if (!issuer.isString() ||
                !to_issuer(issue.account, issuer.asString()))
                Throw<std::runtime_error>("invalid issuer");
            if (issue.native())
                Throw<std::runtime_error>("invalid issuer");
            asset = issue;
        }
    }
 
    NumberParts parts;
 
    if (value.isInt())
    {
        if (value.asInt() >= 0)
        {
            parts.mantissa = value.asInt();
        }
        else
        {
            parts.mantissa = value.asAbsUInt();
            parts.negative = true;
        }
    }
    else if (value.isUInt())
    {
        parts.mantissa = v.asUInt();
    }
    else if (value.isString())
    {
        parts = partsFromString(value.asString());
        // Can't specify XRP or MPT using fractional representation
        if ((asset.native() || asset.holds<MPTIssue>()) && parts.exponent < 0)
            Throw<std::runtime_error>(
                "XRP and MPT must be specified as integral amount.");
    }
    else
    {
        Throw<std::runtime_error>("invalid amount type");
    }
 
    return {name, asset, parts.mantissa, parts.exponent, parts.negative};
}
 
bool
amountFromJsonNoThrow(STAmount& result, Json::Value const& jvSource)
{
    try
    {
        result = amountFromJson(sfGeneric, jvSource);
        return true;
    }
    catch (std::exception const& e)
    {
        JLOG(debugLog().warn())
            << "amountFromJsonNoThrow: caught: " << e.what();
    }
    return false;
}
 
//------------------------------------------------------------------------------
//
// Operators
//
//------------------------------------------------------------------------------
 
bool
operator==(STAmount const& lhs, STAmount const& rhs)
{
    return areComparable(lhs, rhs) && lhs.negative() == rhs.negative() &&
        lhs.exponent() == rhs.exponent() && lhs.mantissa() == rhs.mantissa();
}
 
bool
operator<(STAmount const& lhs, STAmount const& rhs)
{
    if (!areComparable(lhs, rhs))
        Throw<std::runtime_error>(
            "Can't compare amounts that are't comparable!");
 
    if (lhs.negative() != rhs.negative())
        return lhs.negative();
 
    if (lhs.mantissa() == 0)
    {
        if (rhs.negative())
            return false;
        return rhs.mantissa() != 0;
    }
 
    // We know that lhs is non-zero and both sides have the same sign. Since
    // rhs is zero (and thus not negative), lhs must, therefore, be strictly
    // greater than zero. So if rhs is zero, the comparison must be false.
    if (rhs.mantissa() == 0)
        return false;
 
    if (lhs.exponent() > rhs.exponent())
        return lhs.negative();
    if (lhs.exponent() < rhs.exponent())
        return !lhs.negative();
    if (lhs.mantissa() > rhs.mantissa())
        return lhs.negative();
    if (lhs.mantissa() < rhs.mantissa())
        return !lhs.negative();
 
    return false;
}
 
STAmount
operator-(STAmount const& value)
{
    if (value.mantissa() == 0)
        return value;
    return STAmount(
        value.getFName(),
        value.asset(),
        value.mantissa(),
        value.exponent(),
        !value.negative(),
        STAmount::unchecked{});
}
 
//------------------------------------------------------------------------------
//
// Arithmetic
//
//------------------------------------------------------------------------------
 
// Calculate (a * b) / c when all three values are 64-bit
// without loss of precision:
static std::uint64_t
muldiv(
    std::uint64_t multiplier,
    std::uint64_t multiplicand,
    std::uint64_t divisor)
{
    boost::multiprecision::uint128_t ret;
 
    boost::multiprecision::multiply(ret, multiplier, multiplicand);
    ret /= divisor;
 
    if (ret > std::numeric_limits<std::uint64_t>::max())
    {
        Throw<std::overflow_error>(
            "overflow: (" + std::to_string(multiplier) + " * " +
            std::to_string(multiplicand) + ") / " + std::to_string(divisor));
    }
 
    return static_cast<uint64_t>(ret);
}
 
static std::uint64_t
muldiv_round(
    std::uint64_t multiplier,
    std::uint64_t multiplicand,
    std::uint64_t divisor,
    std::uint64_t rounding)
{
    boost::multiprecision::uint128_t ret;
 
    boost::multiprecision::multiply(ret, multiplier, multiplicand);
    ret += rounding;
    ret /= divisor;
 
    if (ret > std::numeric_limits<std::uint64_t>::max())
    {
        Throw<std::overflow_error>(
            "overflow: ((" + std::to_string(multiplier) + " * " +
            std::to_string(multiplicand) + ") + " + std::to_string(rounding) +
            ") / " + std::to_string(divisor));
    }
 
    return static_cast<uint64_t>(ret);
}
 
STAmount
divide(STAmount const& num, STAmount const& den, Asset const& asset)
{
    if (den == beast::zero)
        Throw<std::runtime_error>("division by zero");
 
    if (num == beast::zero)
        return {asset};
 
    std::uint64_t numVal = num.mantissa();
    std::uint64_t denVal = den.mantissa();
    int numOffset = num.exponent();
    int denOffset = den.exponent();
 
    if (num.native() || num.holds<MPTIssue>())
    {
        while (numVal < STAmount::cMinValue)
        {
            // Need to bring into range
            numVal *= 10;
            --numOffset;
        }
    }
 
    if (den.native() || den.holds<MPTIssue>())
    {
        while (denVal < STAmount::cMinValue)
        {
            denVal *= 10;
            --denOffset;
        }
    }
 
    // We divide the two mantissas (each is between 10^15
    // and 10^16). To maintain precision, we multiply the
    // numerator by 10^17 (the product is in the range of
    // 10^32 to 10^33) followed by a division, so the result
    // is in the range of 10^16 to 10^15.
    return STAmount(
        asset,
        muldiv(numVal, tenTo17, denVal) + 5,
        numOffset - denOffset - 17,
        num.negative() != den.negative());
}
 
STAmount
multiply(STAmount const& v1, STAmount const& v2, Asset const& asset)
{
    if (v1 == beast::zero || v2 == beast::zero)
        return STAmount(asset);
 
    if (v1.native() && v2.native() && asset.native())
    {
        std::uint64_t const minV = std::min(getSNValue(v1), getSNValue(v2));
        std::uint64_t const maxV = std::max(getSNValue(v1), getSNValue(v2));
 
        if (minV > 3000000000ull)  // sqrt(cMaxNative)
            Throw<std::runtime_error>("Native value overflow");
 
        if (((maxV >> 32) * minV) > 2095475792ull)  // cMaxNative / 2^32
            Throw<std::runtime_error>("Native value overflow");
 
        return STAmount(v1.getFName(), minV * maxV);
    }
    if (v1.holds<MPTIssue>() && v2.holds<MPTIssue>() && asset.holds<MPTIssue>())
    {
        std::uint64_t const minV = std::min(getMPTValue(v1), getMPTValue(v2));
        std::uint64_t const maxV = std::max(getMPTValue(v1), getMPTValue(v2));
 
        if (minV > 3037000499ull)  // sqrt(maxMPTokenAmount) ~ 3037000499.98
            Throw<std::runtime_error>("MPT value overflow");
 
        if (((maxV >> 32) * minV) > 2147483648ull)  // maxMPTokenAmount / 2^32
            Throw<std::runtime_error>("MPT value overflow");
 
        return STAmount(asset, minV * maxV);
    }
 
    if (getSTNumberSwitchover())
    {
        auto const r = Number{v1} * Number{v2};
        return STAmount{asset, r.mantissa(), r.exponent()};
    }
 
    std::uint64_t value1 = v1.mantissa();
    std::uint64_t value2 = v2.mantissa();
    int offset1 = v1.exponent();
    int offset2 = v2.exponent();
 
    if (v1.native() || v1.holds<MPTIssue>())
    {
        while (value1 < STAmount::cMinValue)
        {
            value1 *= 10;
            --offset1;
        }
    }
 
    if (v2.native() || v2.holds<MPTIssue>())
    {
        while (value2 < STAmount::cMinValue)
        {
            value2 *= 10;
            --offset2;
        }
    }
 
    // We multiply the two mantissas (each is between 10^15
    // and 10^16), so their product is in the 10^30 to 10^32
    // range. Dividing their product by 10^14 maintains the
    // precision, by scaling the result to 10^16 to 10^18.
    return STAmount(
        asset,
        muldiv(value1, value2, tenTo14) + 7,
        offset1 + offset2 + 14,
        v1.negative() != v2.negative());
}
 
// This is the legacy version of canonicalizeRound.  It's been in use
// for years, so it is deeply embedded in the behavior of cross-currency
// transactions.
//
// However in 2022 it was noticed that the rounding characteristics were
// surprising.  When the code converts from IOU-like to XRP-like there may
// be a fraction of the IOU-like representation that is too small to be
// represented in drops.  `canonicalizeRound()` currently does some unusual
// rounding.
//
//  1. If the fractional part is greater than or equal to 0.1, then the
//     number of drops is rounded up.
//
//  2. However, if the fractional part is less than 0.1 (for example,
//     0.099999), then the number of drops is rounded down.
//
// The XRP Ledger has this rounding behavior baked in.  But there are
// situations where this rounding behavior led to undesirable outcomes.
// So an alternative rounding approach was introduced.  You'll see that
// alternative below.
static void
canonicalizeRound(bool native, std::uint64_t& value, int& offset, bool)
{
    if (native)
    {
        if (offset < 0)
        {
            int loops = 0;
 
            while (offset < -1)
            {
                value /= 10;
                ++offset;
                ++loops;
            }
 
            value += (loops >= 2) ? 9 : 10;  // add before last divide
            value /= 10;
            ++offset;
        }
    }
    else if (value > STAmount::cMaxValue)
    {
        while (value > (10 * STAmount::cMaxValue))
        {
            value /= 10;
            ++offset;
        }
 
        value += 9;  // add before last divide
        value /= 10;
        ++offset;
    }
}
 
// The original canonicalizeRound did not allow the rounding direction to
// be specified.  It also ignored some of the bits that could contribute to
// rounding decisions.  canonicalizeRoundStrict() tracks all of the bits in
// the value being rounded.
static void
canonicalizeRoundStrict(
    bool native,
    std::uint64_t& value,
    int& offset,
    bool roundUp)
{
    if (native)
    {
        if (offset < 0)
        {
            bool hadRemainder = false;
 
            while (offset < -1)
            {
                // It would be better to use std::lldiv than to separately
                // compute the remainder.  But std::lldiv does not support
                // unsigned arguments.
                std::uint64_t const newValue = value / 10;
                hadRemainder |= (value != (newValue * 10));
                value = newValue;
                ++offset;
            }
            value +=
                (hadRemainder && roundUp) ? 10 : 9;  // Add before last divide
            value /= 10;
            ++offset;
        }
    }
    else if (value > STAmount::cMaxValue)
    {
        while (value > (10 * STAmount::cMaxValue))
        {
            value /= 10;
            ++offset;
        }
        value += 9;  // add before last divide
        value /= 10;
        ++offset;
    }
}
 
STAmount
roundToScale(
    STAmount const& value,
    std::int32_t scale,
    Number::rounding_mode rounding)
{
    // Nothing to do for integral types.
    if (value.integral())
        return value;
 
    // If the value's exponent is greater than or equal to the scale, then
    // rounding will do nothing, and might even lose precision, so just return
    // the value.
    if (value.exponent() >= scale)
        return value;
 
    STAmount const referenceValue{
        value.asset(), STAmount::cMinValue, scale, value.negative()};
 
    NumberRoundModeGuard mg(rounding);
    // With an IOU, the the result of addition will be truncated to the
    // precision of the larger value, which in this case is referenceValue. Then
    // remove the reference value via subtraction, and we're left with the
    // rounded value.
    return (value + referenceValue) - referenceValue;
}
 
namespace {
 
// We need a class that has an interface similar to NumberRoundModeGuard
// but does nothing.
class DontAffectNumberRoundMode
{
public:
    explicit DontAffectNumberRoundMode(Number::rounding_mode mode) noexcept
    {
    }
 
    DontAffectNumberRoundMode(DontAffectNumberRoundMode const&) = delete;
 
    DontAffectNumberRoundMode&
    operator=(DontAffectNumberRoundMode const&) = delete;
};
 
}  // anonymous namespace
 
// Pass the canonicalizeRound function pointer as a template parameter.
//
// We might need to use NumberRoundModeGuard.  Allow the caller
// to pass either that or a replacement as a template parameter.
template <
    void (*CanonicalizeFunc)(bool, std::uint64_t&, int&, bool),
    typename MightSaveRound>
static STAmount
mulRoundImpl(
    STAmount const& v1,
    STAmount const& v2,
    Asset const& asset,
    bool roundUp)
{
    if (v1 == beast::zero || v2 == beast::zero)
        return {asset};
 
    bool const xrp = asset.native();
 
    if (v1.native() && v2.native() && xrp)
    {
        std::uint64_t minV = std::min(getSNValue(v1), getSNValue(v2));
        std::uint64_t maxV = std::max(getSNValue(v1), getSNValue(v2));
 
        if (minV > 3000000000ull)  // sqrt(cMaxNative)
            Throw<std::runtime_error>("Native value overflow");
 
        if (((maxV >> 32) * minV) > 2095475792ull)  // cMaxNative / 2^32
            Throw<std::runtime_error>("Native value overflow");
 
        return STAmount(v1.getFName(), minV * maxV);
    }
 
    if (v1.holds<MPTIssue>() && v2.holds<MPTIssue>() && asset.holds<MPTIssue>())
    {
        std::uint64_t const minV = std::min(getMPTValue(v1), getMPTValue(v2));
        std::uint64_t const maxV = std::max(getMPTValue(v1), getMPTValue(v2));
 
        if (minV > 3037000499ull)  // sqrt(maxMPTokenAmount) ~ 3037000499.98
            Throw<std::runtime_error>("MPT value overflow");
 
        if (((maxV >> 32) * minV) > 2147483648ull)  // maxMPTokenAmount / 2^32
            Throw<std::runtime_error>("MPT value overflow");
 
        return STAmount(asset, minV * maxV);
    }
 
    std::uint64_t value1 = v1.mantissa(), value2 = v2.mantissa();
    int offset1 = v1.exponent(), offset2 = v2.exponent();
 
    if (v1.native() || v1.holds<MPTIssue>())
    {
        while (value1 < STAmount::cMinValue)
        {
            value1 *= 10;
            --offset1;
        }
    }
 
    if (v2.native() || v2.holds<MPTIssue>())
    {
        while (value2 < STAmount::cMinValue)
        {
            value2 *= 10;
            --offset2;
        }
    }
 
    bool const resultNegative = v1.negative() != v2.negative();
 
    // We multiply the two mantissas (each is between 10^15
    // and 10^16), so their product is in the 10^30 to 10^32
    // range. Dividing their product by 10^14 maintains the
    // precision, by scaling the result to 10^16 to 10^18.
    //
    // If the we're rounding up, we want to round up away
    // from zero, and if we're rounding down, truncation
    // is implicit.
    std::uint64_t amount = muldiv_round(
        value1, value2, tenTo14, (resultNegative != roundUp) ? tenTo14m1 : 0);
 
    int offset = offset1 + offset2 + 14;
    if (resultNegative != roundUp)
    {
        CanonicalizeFunc(xrp, amount, offset, roundUp);
    }
    STAmount result = [&]() {
        // If appropriate, tell Number to round down.  This gives the desired
        // result from STAmount::canonicalize.
        MightSaveRound const savedRound(Number::towards_zero);
        return STAmount(asset, amount, offset, resultNegative);
    }();
 
    if (roundUp && !resultNegative && !result)
    {
        if (xrp)
        {
            // return the smallest value above zero
            amount = 1;
            offset = 0;
        }
        else
        {
            // return the smallest value above zero
            amount = STAmount::cMinValue;
            offset = STAmount::cMinOffset;
        }
        return STAmount(asset, amount, offset, resultNegative);
    }
    return result;
}
 
STAmount
mulRound(
    STAmount const& v1,
    STAmount const& v2,
    Asset const& asset,
    bool roundUp)
{
    return mulRoundImpl<canonicalizeRound, DontAffectNumberRoundMode>(
        v1, v2, asset, roundUp);
}
 
STAmount
mulRoundStrict(
    STAmount const& v1,
    STAmount const& v2,
    Asset const& asset,
    bool roundUp)
{
    return mulRoundImpl<canonicalizeRoundStrict, NumberRoundModeGuard>(
        v1, v2, asset, roundUp);
}
 
// We might need to use NumberRoundModeGuard.  Allow the caller
// to pass either that or a replacement as a template parameter.
template <typename MightSaveRound>
static STAmount
divRoundImpl(
    STAmount const& num,
    STAmount const& den,
    Asset const& asset,
    bool roundUp)
{
    if (den == beast::zero)
        Throw<std::runtime_error>("division by zero");
 
    if (num == beast::zero)
        return {asset};
 
    std::uint64_t numVal = num.mantissa(), denVal = den.mantissa();
    int numOffset = num.exponent(), denOffset = den.exponent();
 
    if (num.native() || num.holds<MPTIssue>())
    {
        while (numVal < STAmount::cMinValue)
        {
            numVal *= 10;
            --numOffset;
        }
    }
 
    if (den.native() || den.holds<MPTIssue>())
    {
        while (denVal < STAmount::cMinValue)
        {
            denVal *= 10;
            --denOffset;
        }
    }
 
    bool const resultNegative = (num.negative() != den.negative());
 
    // We divide the two mantissas (each is between 10^15
    // and 10^16). To maintain precision, we multiply the
    // numerator by 10^17 (the product is in the range of
    // 10^32 to 10^33) followed by a division, so the result
    // is in the range of 10^16 to 10^15.
    //
    // We round away from zero if we're rounding up or
    // truncate if we're rounding down.
    std::uint64_t amount = muldiv_round(
        numVal, tenTo17, denVal, (resultNegative != roundUp) ? denVal - 1 : 0);
 
    int offset = numOffset - denOffset - 17;
 
    if (resultNegative != roundUp)
        canonicalizeRound(
            asset.native() || asset.holds<MPTIssue>(), amount, offset, roundUp);
 
    STAmount result = [&]() {
        // If appropriate, tell Number the rounding mode we are using.
        // Note that "roundUp == true" actually means "round away from zero".
        // Otherwise round toward zero.
        using enum Number::rounding_mode;
        MightSaveRound const savedRound(
            roundUp ^ resultNegative ? upward : downward);
        return STAmount(asset, amount, offset, resultNegative);
    }();
 
    if (roundUp && !resultNegative && !result)
    {
        if (asset.native() || asset.holds<MPTIssue>())
        {
            // return the smallest value above zero
            amount = 1;
            offset = 0;
        }
        else
        {
            // return the smallest value above zero
            amount = STAmount::cMinValue;
            offset = STAmount::cMinOffset;
        }
        return STAmount(asset, amount, offset, resultNegative);
    }
    return result;
}
 
STAmount
divRound(
    STAmount const& num,
    STAmount const& den,
    Asset const& asset,
    bool roundUp)
{
    return divRoundImpl<DontAffectNumberRoundMode>(num, den, asset, roundUp);
}
 
STAmount
divRoundStrict(
    STAmount const& num,
    STAmount const& den,
    Asset const& asset,
    bool roundUp)
{
    return divRoundImpl<NumberRoundModeGuard>(num, den, asset, roundUp);
}
 
}  // namespace xrpl