feat:node-modules

node_modules/mathjs/lib/esm/function/arithmetic/xgcd.js

@@ -0,0 +1,91 @@
+import { factory } from '../../utils/factory.js';
+import { xgcdNumber } from '../../plain/number/index.js';
+var name = 'xgcd';
+var dependencies = ['typed', 'config', 'matrix', 'BigNumber'];
+export var createXgcd = /* #__PURE__ */factory(name, dependencies, _ref => {
+  var {
+    typed,
+    config,
+    matrix,
+    BigNumber
+  } = _ref;
+  /**
+   * Calculate the extended greatest common divisor for two values.
+   * See https://en.wikipedia.org/wiki/Extended_Euclidean_algorithm.
+   *
+   * Syntax:
+   *
+   *    math.xgcd(a, b)
+   *
+   * Examples:
+   *
+   *    math.xgcd(8, 12)             // returns [4, -1, 1]
+   *    math.gcd(8, 12)              // returns 4
+   *    math.xgcd(36163, 21199)      // returns [1247, -7, 12]
+   *
+   * See also:
+   *
+   *    gcd, lcm
+   *
+   * @param {number | BigNumber} a  An integer number
+   * @param {number | BigNumber} b  An integer number
+   * @return {Array}              Returns an array containing 3 integers `[div, m, n]`
+   *                              where `div = gcd(a, b)` and `a*m + b*n = div`
+   */
+  return typed(name, {
+    'number, number': function number_number(a, b) {
+      var res = xgcdNumber(a, b);
+      return config.matrix === 'Array' ? res : matrix(res);
+    },
+    'BigNumber, BigNumber': _xgcdBigNumber
+    // TODO: implement support for Fraction
+  });
+
+  /**
+   * Calculate xgcd for two BigNumbers
+   * @param {BigNumber} a
+   * @param {BigNumber} b
+   * @return {BigNumber[]} result
+   * @private
+   */
+  function _xgcdBigNumber(a, b) {
+    // source: https://en.wikipedia.org/wiki/Extended_Euclidean_algorithm
+    var
+    // used to swap two variables
+    t;
+    var
+    // quotient
+    q;
+    var
+    // remainder
+    r;
+    var zero = new BigNumber(0);
+    var one = new BigNumber(1);
+    var x = zero;
+    var lastx = one;
+    var y = one;
+    var lasty = zero;
+    if (!a.isInt() || !b.isInt()) {
+      throw new Error('Parameters in function xgcd must be integer numbers');
+    }
+    while (!b.isZero()) {
+      q = a.div(b).floor();
+      r = a.mod(b);
+      t = x;
+      x = lastx.minus(q.times(x));
+      lastx = t;
+      t = y;
+      y = lasty.minus(q.times(y));
+      lasty = t;
+      a = b;
+      b = r;
+    }
+    var res;
+    if (a.lt(zero)) {
+      res = [a.neg(), lastx.neg(), lasty.neg()];
+    } else {
+      res = [a, !a.isZero() ? lastx : 0, lasty];
+    }
+    return config.matrix === 'Array' ? res : matrix(res);
+  }
+});