chore: update to version 14.0.11 and align website URLs

packages/util/bi/sqrt.js

@@ -0,0 +1,29 @@
+import { BigInt } from '@pezkuwi/x-bigint';
+import { _0n, _1n, _2pow53n, _sqrt2pow53n } from './consts.js';
+import { nToBigInt } from './toBigInt.js';
+/**
+ * @name nSqrt
+ * @summary Calculates the integer square root of a bigint
+ */
+export function nSqrt(value) {
+    const n = nToBigInt(value);
+    if (n < _0n) {
+        throw new Error('square root of negative numbers is not supported');
+    }
+    // https://stackoverflow.com/questions/53683995/javascript-big-integer-square-root/
+    // shortcut <= 2^53 - 1 to use the JS utils
+    if (n <= _2pow53n) {
+        // ~~ is more performant that Math.floor
+        return BigInt(~~Math.sqrt(Number(n)));
+    }
+    // Use sqrt(MAX_SAFE_INTEGER) as starting point. since we already know the
+    // output will be larger than this, we expect this to be a safe start
+    let x0 = _sqrt2pow53n;
+    while (true) {
+        const x1 = ((n / x0) + x0) >> _1n;
+        if (x0 === x1 || (x0 === (x1 - _1n))) {
+            return x0;
+        }
+        x0 = x1;
+    }
+}