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104 lines
3.4 KiB
JavaScript
104 lines
3.4 KiB
JavaScript
// test kronecker product
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var assert = require('assert'),
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math = require('../../../index');
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describe('kron', function() {
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it('should calculate the kronecker product of two arrays', function() {
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assert.deepEqual(math.kron([
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[1, -2, 1],
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[1, 1, 0]
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], [
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[1, 0],
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[0, 1]
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]), [
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[1, 0, -2, -0, 1, 0],
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[0, 1, -0, -2, 0, 1],
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[1, 0, 1, 0, 0, 0],
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[0, 1, 0, 1, 0, 0]
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]);
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assert.deepEqual(math.kron([
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[53, 12, -9, 0],
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[2, 2, 5, 2]
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], [
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[99, 56, 22, 7]
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]), [
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[5247, 2968, 1166, 371, 1188, 672, 264, 84, -891, -504, -198, -63, 0, 0, 0, 0],
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[198, 112, 44, 14, 198, 112, 44, 14, 495, 280, 110, 35, 198, 112, 44, 14]
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]);
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});
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it('should calculate product for empty 2D Arrays', function() {
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assert.deepEqual(math.kron([[]], [[]]), [[]]);
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});
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it('should calculate product for 1D Arrays', function() {
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assert.deepEqual(math.kron([1,1], [[1,0],[0,1]]), [[1, 0, 1, 0],[0, 1, 0, 1]]);
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assert.deepEqual(math.kron([[1,0],[0,1]], [1,1]), [[1, 1, 0, 0],[0, 0, 1, 1]]);
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assert.deepEqual(math.kron([1,2,6,8], [12,1,2,3]), [[12,1,2,3,24,2,4,6,72,6,12,18,96,8,16,24]]);
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});
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it('should support complex numbers', function() {
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assert.deepEqual(math.kron([
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[1,math.complex(0,1)],
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[math.complex(0,1),2]
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],
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[
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[2,2],
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[2,2]
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]),
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[
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[2,2,math.complex(0,2),math.complex(0,2)],
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[2,2,math.complex(0,2),math.complex(0,2)],
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[math.complex(0,2),math.complex(0,2),4,4],
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[math.complex(0,2),math.complex(0,2),4,4]
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]);
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});
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it('should throw an error for greater then 2 dimensions', function() {
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assert.throws(function () {
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math.kron([[[1, 1], [1, 1]], [[1, 1], [1, 1]]], [[[1, 2, 3], [4, 5, 6]], [[6, 7, 8], [9, 10, 11]]]);
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});
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});
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it('should throw an error if called with an invalid number of arguments', function() {
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assert.throws(function () {math.kron();}, TypeError);
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assert.throws(function () {math.kron([[1,2]]);}, TypeError);
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});
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describe('DenseMatrix', function () {
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it('should calculate the kronecker product of a 2d matrix', function() {
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var y = math.matrix([[1, 1], [1, 1]]);
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var x = math.matrix([[1, 0], [0, 1]]);
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var product = math.kron(x, y);
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assert.deepEqual(product.valueOf(), [[1,1,0,0],[1,1,0,0],[0,0,1,1],[0,0,1,1]]);
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var y = math.matrix([[1, 2], [55, -1]]);
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var x = math.matrix([[13, 0], [0, -1]]);
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var product = math.kron(x, y);
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assert.deepEqual(product.toArray(), [[13,26,0,0],[715,-13,0,-0],[0,0,-1,-2],[0,0,-55,1]]);
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});
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it('should throw an error for invalid kronecker product of matrix', function() {
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y = math.matrix([[[]]]);
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x = math.matrix([[[1,1], [1,1]], [[1,1], [1,1]]]);
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assert.throws(function () { math.kron(y, x) });
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});
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});
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describe('SparseMatrix', function () {
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it('should calculate the kronecker product of a 2d matrix', function() {
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var y = math.sparse([[1, 1], [1, 1]]);
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var x = math.sparse([[1, 0], [0, 1]]);
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var product = math.kron(x, y);
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assert.deepEqual(product.valueOf(), [[1,1,0,0],[1,1,0,0],[0,0,1,1],[0,0,1,1]]);
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var y = math.matrix([[1, 2], [55, -1]], 'sparse');
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var x = math.matrix([[13, 0], [0, -1]], 'sparse');
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var product = math.kron(x, y);
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assert.deepEqual(product.toArray(), [[13,26,0,0],[715,-13,0,-0],[0,0,-1,-2],[0,0,-55,1]]);
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});
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});
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});
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