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- "use strict";
- Object.defineProperty(exports, "__esModule", {
- value: true
- });
- exports.createGcd = void 0;
- var _factory = require("../../utils/factory.js");
- var _matAlgo01xDSid = require("../../type/matrix/utils/matAlgo01xDSid.js");
- var _matAlgo04xSidSid = require("../../type/matrix/utils/matAlgo04xSidSid.js");
- var _matAlgo10xSids = require("../../type/matrix/utils/matAlgo10xSids.js");
- var _matrixAlgorithmSuite = require("../../type/matrix/utils/matrixAlgorithmSuite.js");
- var _index = require("../../plain/number/index.js");
- var name = 'gcd';
- var dependencies = ['typed', 'matrix', 'equalScalar', 'BigNumber', 'DenseMatrix'];
- var createGcd = /* #__PURE__ */(0, _factory.factory)(name, dependencies, function (_ref) {
- var typed = _ref.typed,
- matrix = _ref.matrix,
- equalScalar = _ref.equalScalar,
- BigNumber = _ref.BigNumber,
- DenseMatrix = _ref.DenseMatrix;
- var matAlgo01xDSid = (0, _matAlgo01xDSid.createMatAlgo01xDSid)({
- typed: typed
- });
- var matAlgo04xSidSid = (0, _matAlgo04xSidSid.createMatAlgo04xSidSid)({
- typed: typed,
- equalScalar: equalScalar
- });
- var matAlgo10xSids = (0, _matAlgo10xSids.createMatAlgo10xSids)({
- typed: typed,
- DenseMatrix: DenseMatrix
- });
- var matrixAlgorithmSuite = (0, _matrixAlgorithmSuite.createMatrixAlgorithmSuite)({
- typed: typed,
- matrix: matrix
- });
- var gcdTypes = 'number | BigNumber | Fraction | Matrix | Array';
- var gcdManySignature = {};
- gcdManySignature["".concat(gcdTypes, ", ").concat(gcdTypes, ", ...").concat(gcdTypes)] = typed.referToSelf(function (self) {
- return function (a, b, args) {
- var res = self(a, b);
- for (var i = 0; i < args.length; i++) {
- res = self(res, args[i]);
- }
- return res;
- };
- });
- /**
- * Calculate the greatest common divisor for two or more values or arrays.
- *
- * For matrices, the function is evaluated element wise.
- *
- * Syntax:
- *
- * math.gcd(a, b)
- * math.gcd(a, b, c, ...)
- *
- * Examples:
- *
- * math.gcd(8, 12) // returns 4
- * math.gcd(-4, 6) // returns 2
- * math.gcd(25, 15, -10) // returns 5
- *
- * math.gcd([8, -4], [12, 6]) // returns [4, 2]
- *
- * See also:
- *
- * lcm, xgcd
- *
- * @param {... number | BigNumber | Fraction | Array | Matrix} args Two or more integer numbers
- * @return {number | BigNumber | Fraction | Array | Matrix} The greatest common divisor
- */
- return typed(name, {
- 'number, number': _index.gcdNumber,
- 'BigNumber, BigNumber': _gcdBigNumber,
- 'Fraction, Fraction': function FractionFraction(x, y) {
- return x.gcd(y);
- }
- }, matrixAlgorithmSuite({
- SS: matAlgo04xSidSid,
- DS: matAlgo01xDSid,
- Ss: matAlgo10xSids
- }), gcdManySignature);
- /**
- * Calculate gcd for BigNumbers
- * @param {BigNumber} a
- * @param {BigNumber} b
- * @returns {BigNumber} Returns greatest common denominator of a and b
- * @private
- */
- function _gcdBigNumber(a, b) {
- if (!a.isInt() || !b.isInt()) {
- throw new Error('Parameters in function gcd must be integer numbers');
- }
- // https://en.wikipedia.org/wiki/Euclidean_algorithm
- var zero = new BigNumber(0);
- while (!b.isZero()) {
- var r = a.mod(b);
- a = b;
- b = r;
- }
- return a.lt(zero) ? a.neg() : a;
- }
- });
- exports.createGcd = createGcd;
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