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- import { arraySize as size } from '../../utils/array.js';
- import { factory } from '../../utils/factory.js';
- var name = 'kron';
- var dependencies = ['typed', 'matrix', 'multiplyScalar'];
- export var createKron = /* #__PURE__ */factory(name, dependencies, _ref => {
- var {
- typed,
- matrix,
- multiplyScalar
- } = _ref;
- /**
- * Calculates the kronecker product of 2 matrices or vectors.
- *
- * NOTE: If a one dimensional vector / matrix is given, it will be
- * wrapped so its two dimensions.
- * See the examples.
- *
- * Syntax:
- *
- * math.kron(x, y)
- *
- * Examples:
- *
- * math.kron([[1, 0], [0, 1]], [[1, 2], [3, 4]])
- * // returns [ [ 1, 2, 0, 0 ], [ 3, 4, 0, 0 ], [ 0, 0, 1, 2 ], [ 0, 0, 3, 4 ] ]
- *
- * math.kron([1,1], [2,3,4])
- * // returns [ [ 2, 3, 4, 2, 3, 4 ] ]
- *
- * See also:
- *
- * multiply, dot, cross
- *
- * @param {Array | Matrix} x First vector
- * @param {Array | Matrix} y Second vector
- * @return {Array | Matrix} Returns the kronecker product of `x` and `y`
- */
- return typed(name, {
- 'Matrix, Matrix': function MatrixMatrix(x, y) {
- return matrix(_kron(x.toArray(), y.toArray()));
- },
- 'Matrix, Array': function MatrixArray(x, y) {
- return matrix(_kron(x.toArray(), y));
- },
- 'Array, Matrix': function ArrayMatrix(x, y) {
- return matrix(_kron(x, y.toArray()));
- },
- 'Array, Array': _kron
- });
- /**
- * Calculate the kronecker product of two matrices / vectors
- * @param {Array} a First vector
- * @param {Array} b Second vector
- * @returns {Array} Returns the kronecker product of x and y
- * @private
- */
- function _kron(a, b) {
- // Deal with the dimensions of the matricies.
- if (size(a).length === 1) {
- // Wrap it in a 2D Matrix
- a = [a];
- }
- if (size(b).length === 1) {
- // Wrap it in a 2D Matrix
- b = [b];
- }
- if (size(a).length > 2 || size(b).length > 2) {
- throw new RangeError('Vectors with dimensions greater then 2 are not supported expected ' + '(Size x = ' + JSON.stringify(a.length) + ', y = ' + JSON.stringify(b.length) + ')');
- }
- var t = [];
- var r = [];
- return a.map(function (a) {
- return b.map(function (b) {
- r = [];
- t.push(r);
- return a.map(function (y) {
- return b.map(function (x) {
- return r.push(multiplyScalar(y, x));
- });
- });
- });
- }) && t;
- }
- });
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