@numio/bigmath/src/cbrt/utils.js

@numio/bigmath is an arbitrary-precision arithmetic library. It can be used for basic operations with decimal numbers (integers and float)

import { isLeftGreaterInner } from "../compare/utils.js";
import { divInner } from "../operations/div/utils.js";
import { PipeInner } from "../pipe/utils.js";
import { calcInner } from "../shared/utils.js";
export const cbrtInner = (value, prec = [1n, 13], max = 100) => {
    if (value[0] < 0n) {
        throw new Error("Invalid input: Cannot take the cube root of a negative value.");
    }
    let guess = value;
    for (let i = 0; i < max; i++) {
        const mul = calcInner([guess, guess], (a, b) => a * b);
        const { bi: nextGuess } = new PipeInner().add([
            calcInner([guess, [2n, 0]], (a, b) => a * b),
            divInner([value, mul], 20),
        ]).div([[3n, 0]]);
        const { bi } = new PipeInner().sub([nextGuess, guess]).abs();
        if (isLeftGreaterInner({ left: prec, right: bi })) {
            return [nextGuess, prec[1]];
        }
        guess = nextGuess;
    }
    return [guess, prec[1]];
};