@catalabs/catalyst-sdk/build/math/math.lib.js

Catalyst AMM SDK

"use strict";
Object.defineProperty(exports, "__esModule", { value: true });
exports.WAD = void 0;
exports.powWad = powWad;
exports.expWad = expWad;
exports.lnWad = lnWad;
exports.log2 = log2;
exports.WAD = 10n ** 18n;
function powWad(x, y) {
    return expWad((lnWad(x) * y) / exports.WAD);
}
function expWad(x) {
    if (x < -42139678854452767551n) {
        return 0n;
    }
    if (x > 135305999368893231589n) {
        throw new Error('EXP_OVERFLOW');
    }
    x = (x << 78n) / 5n ** 18n;
    const k = ((x << 96n) / 54916777467707473351141471128n + 2n ** 95n) >> 96n;
    x = x - k * 54916777467707473351141471128n;
    let y = x + 1346386616545796478920950773328n;
    y = ((y * x) >> 96n) + 57155421227552351082224309758442n;
    let p = y + x - 94201549194550492254356042504812n;
    p = ((p * y) >> 96n) + 28719021644029726153956944680412240n;
    p = p * x + (4385272521454847904659076985693276n << 96n);
    let q = x - 2855989394907223263936484059900n;
    q = ((q * x) >> 96n) + 50020603652535783019961831881945n;
    q = ((q * x) >> 96n) - 533845033583426703283633433725380n;
    q = ((q * x) >> 96n) + 3604857256930695427073651918091429n;
    q = ((q * x) >> 96n) - 14423608567350463180887372962807573n;
    q = ((q * x) >> 96n) + 26449188498355588339934803723976023n;
    let r = p / q;
    r = (r * 3822833074963236453042738258902158003155416615667n) >> (195n - k);
    return r;
}
function lnWad(x) {
    if (x < 0n) {
        throw new Error('UNDEFINED');
    }
    const k = log2(x) - 96n;
    x <<= 159n - k;
    x = x % 2n ** 256n;
    x >>= 159n;
    let p = x + 3273285459638523848632254066296n;
    p = ((p * x) >> 96n) + 24828157081833163892658089445524n;
    p = ((p * x) >> 96n) + 43456485725739037958740375743393n;
    p = ((p * x) >> 96n) - 11111509109440967052023855526967n;
    p = ((p * x) >> 96n) - 45023709667254063763336534515857n;
    p = ((p * x) >> 96n) - 14706773417378608786704636184526n;
    p = p * x - (795164235651350426258249787498n << 96n);
    let q = x + 5573035233440673466300451813936n;
    q = ((q * x) >> 96n) + 71694874799317883764090561454958n;
    q = ((q * x) >> 96n) + 283447036172924575727196451306956n;
    q = ((q * x) >> 96n) + 401686690394027663651624208769553n;
    q = ((q * x) >> 96n) + 204048457590392012362485061816622n;
    q = ((q * x) >> 96n) + 31853899698501571402653359427138n;
    q = ((q * x) >> 96n) + 909429971244387300277376558375n;
    let r = p / q;
    r *= 1677202110996718588342820967067443963516166n;
    r +=
        16597577552685614221487285958193947469193820559219878177908093499208371n *
            k;
    r +=
        600920179829731861736702779321621459595472258049074101567377883020018308n;
    r >>= 174n;
    return r;
}
function log2(x) {
    if (x < 0n) {
        throw new Error('UNDEFINED');
    }
    let r = 0n;
    if (x >> r > 340282366920938463463374607431768211455n) {
        r += 1n << 7n;
    }
    if (x >> r > 18446744073709551615n) {
        r += 1n << 6n;
    }
    if (x >> r > 4294967295n) {
        r += 1n << 5n;
    }
    if (x >> r > 65535n) {
        r += 1n << 4n;
    }
    if (x >> r > 255n) {
        r += 1n << 3n;
    }
    if (x >> r > 15n) {
        r += 1n << 2n;
    }
    if (x >> r > 3n) {
        r += 1n << 1n;
    }
    if (x >> r > 1n) {
        r += 1n << 0n;
    }
    return r;
}
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