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website/node_modules/fraction.js/examples/rational-pow.js
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Co-Authored-By: Claude Sonnet 4.6 <noreply@anthropic.com>
2026-06-28 10:16:43 +02:00

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JavaScript

/*
Fraction.js v5.0.0 10/1/2024
https://raw.org/article/rational-numbers-in-javascript/
Copyright (c) 2024, Robert Eisele (https://raw.org/)
Licensed under the MIT license.
*/
const Fraction = require('fraction.js');
// Calculates (a/b)^(c/d) if result is rational
// Derivation: https://raw.org/book/analysis/rational-numbers/
function root(a, b, c, d) {
// Initial estimate
let x = Fraction(100 * (Math.floor(Math.pow(a / b, c / d)) || 1), 100);
const abc = Fraction(a, b).pow(c);
for (let i = 0; i < 30; i++) {
const n = abc.mul(x.pow(1 - d)).sub(x).div(d).add(x)
if (x.n === n.n && x.d === n.d) {
return n;
}
x = n;
}
return null;
}
root(18, 2, 1, 2); // 3/1