mirror of
https://github.com/josdejong/mathjs.git
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367 lines
11 KiB
JavaScript
367 lines
11 KiB
JavaScript
var assert = require('assert'),
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math = require('../../index')(),
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index = math.index;
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describe('matrix', function() {
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describe('constructor', function() {
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it('should build an emtpy if called with no argument', function() {
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var m = math.matrix();
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assert.deepEqual(m.toArray(), []);
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});
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});
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describe('isScalar', function() {
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it('should be true for single values', function() {
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assert.equal(math.matrix([[23]]).isScalar(), true);
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assert.equal(math.matrix().isScalar(), true);
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assert.equal(math.matrix([[[3]]]).isScalar(), true);
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assert.equal(math.matrix([[]]).isScalar(), true);
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});
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it('should be false for matrices', function() {
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assert.equal(math.matrix([[1,2,3],[4,5,6]]).isScalar(), false);
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assert.equal(math.matrix([1,2,3]).isScalar(), false);
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assert.equal(math.matrix([[1],[2],[3]]).isScalar(), false);
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assert.equal(math.matrix([[[1],[2],[3]]]).isScalar(), false);
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});
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});
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describe('isVector', function() {
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it('should be true for vectors', function() {
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assert.equal(math.matrix().isVector(), true);
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assert.equal(math.matrix([[23]]).isVector(), true);
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assert.equal(math.matrix([1,2,3]).isVector(), true);
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assert.equal(math.matrix([[1],[2],[3]]).isVector(), true);
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assert.equal(math.matrix([[[1],[2],[3]]]).isVector(), true);
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assert.equal(math.matrix([[[3]]]).isVector(), true);
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assert.equal(math.matrix([[]]).isVector(), true);
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assert.equal(math.matrix().isVector(), true);
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});
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it('should be false for matrices', function() {
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assert.equal(math.matrix([[1,2,3],[4,5,6]]).isVector(), false);
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});
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});
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describe('size', function() {
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it('should return the expected size', function() {
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assert.deepEqual(math.matrix().size(), [0]);
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assert.deepEqual(math.matrix([[23]]).size(), [1,1]);
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assert.deepEqual(math.matrix([[1,2,3],[4,5,6]]).size(), [2,3]);
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assert.deepEqual(math.matrix([1,2,3]).size(), [3]);
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assert.deepEqual(math.matrix([[1],[2],[3]]).size(), [3,1]);
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assert.deepEqual(math.matrix([[[1],[2],[3]]]).size(), [1,3,1]);
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assert.deepEqual(math.matrix([[[3]]]).size(), [1,1,1]);
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assert.deepEqual(math.matrix([[]]).size(), [1,0]);
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});
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});
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describe('toScalar', function() {
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it('should return a scalar if the matrix is a scalar', function() {
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assert.deepEqual(math.matrix().toScalar(), null);
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assert.deepEqual(math.matrix([[23]]).toScalar(), 23);
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});
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it('should return null if the matrix is not a scalar', function() {
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assert.equal(math.matrix([[1,2,3],[4,5,6]]).toScalar(), null);
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});
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});
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describe('toVector', function() {
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it('should return a vector if the matrix is a vector', function() {
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assert.deepEqual(math.matrix([1,2,3]).toVector(), [1,2,3]);
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assert.deepEqual(math.matrix([[1],[2],[3]]).toVector(), [1,2,3]);
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assert.deepEqual(math.matrix([[[1],[2],[3]]]).toVector(), [1,2,3]);
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assert.deepEqual(math.matrix([[[3]]]).toVector(), [3]);
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assert.deepEqual(math.matrix([[]]).toVector(), []);
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assert.deepEqual(math.matrix().toVector(), []);
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});
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it('should return null if the matrix is not a vector', function() {
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assert.deepEqual(math.matrix([[1,2,3],[4,5,6]]).toVector(), null);
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});
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});
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it('toString', function() {
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assert.equal(math.matrix([[1,2],[3,4]]).toString(), '[[1, 2], [3, 4]]');
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assert.equal(math.matrix([[1,2],[3,1/3]]).toString(), '[[1, 2], [3, 0.3333333333333333]]');
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});
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it('format', function() {
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assert.equal(math.matrix([[1,2],[3,1/3]]).format(), '[[1, 2], [3, 0.3333333333333333]]');
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assert.equal(math.matrix([[1,2],[3,1/3]]).format(3), '[[1, 2], [3, 0.333]]');
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assert.equal(math.matrix([[1,2],[3,1/3]]).format(4), '[[1, 2], [3, 0.3333]]');
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});
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describe('resize', function() {
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it('should resize the matrix correctly', function() {
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var m = math.matrix([[1,2,3],[4,5,6]]);
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m.resize([2,4]);
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assert.deepEqual(m.valueOf(), [[1,2,3,0],[4,5,6,0]]);
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m.resize([1,2]);
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assert.deepEqual(m.valueOf(), [[1,2]]);
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m.resize([1,2,2], 8);
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assert.deepEqual(m.valueOf(), [[[1,8],[2,8]]]);
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m.resize([2,3], 9);
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assert.deepEqual(m.valueOf(), [[1, 2, 9], [9, 9, 9]]);
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m = math.matrix();
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m.resize([3,3,3], 6);
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assert.deepEqual(m.valueOf(), [
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[[6,6,6],[6,6,6],[6,6,6]],
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[[6,6,6],[6,6,6],[6,6,6]],
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[[6,6,6],[6,6,6],[6,6,6]]
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]);
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m.resize([2,2]);
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assert.deepEqual(m.valueOf(), [[6,6],[6,6]]);
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m.resize([0]);
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assert.deepEqual(m.valueOf(), []);
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});
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});
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describe('get subset', function() {
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it('should get the right subset of the matrix', function() {
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var m;
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// get 1-dimensional
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m = math.matrix(math.range(0,10));
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assert.deepEqual(m.size(), [10]);
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assert.deepEqual(m.subset(index([2,5])).valueOf(), [2,3,4]);
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// get 2-dimensional
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m = math.matrix([[1,2,3],[4,5,6],[7,8,9]]);
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assert.deepEqual(m.size(), [3,3]);
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assert.deepEqual(m.subset(index(1,1)), 5);
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assert.deepEqual(m.subset(index([0,2],[0,2])).valueOf(), [[1,2],[4,5]]);
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assert.deepEqual(m.subset(index(1, [1,3])).valueOf(), [5,6]);
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assert.deepEqual(m.subset(index(0, [1,3])).valueOf(), [2,3]);
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assert.deepEqual(m.subset(index([1,3], 1)).valueOf(), [[5],[8]]);
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assert.deepEqual(m.subset(index([1,3], 2)).valueOf(), [[6],[9]]);
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// get n-dimensional
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m = math.matrix([[[1,2],[3,4]], [[5,6],[7,8]]]);
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assert.deepEqual(m.size(), [2,2,2]);
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assert.deepEqual(m.subset(index([0,2],[0,2],[0,2])).valueOf(), m.valueOf());
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assert.deepEqual(m.subset(index(0,0,0)), 1);
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assert.deepEqual(m.subset(index(1,1,1)).valueOf(), 8);
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assert.deepEqual(m.subset(index(1,1,[0,2])).valueOf(), [7,8]);
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assert.deepEqual(m.subset(index(1,[0,2],1)).valueOf(), [[6],[8]]);
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});
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it('should throw an error if the given subset is invalid', function() {
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var m = math.matrix();
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assert.throws(function () { m.subset([-1]); });
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m = math.matrix([[1,2,3],[4,5,6]]);
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assert.throws(function () { m.subset([1,2,3]); });
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assert.throws(function () { m.subset([3,0]); });
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assert.throws(function () { m.subset([1]); });
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});
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});
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describe('set subset', function() {
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it('should set the given subset', function() {
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// set 1-dimensional
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var m = math.matrix(math.range(0,7));
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m.subset(index([2,4]), [20,30]);
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assert.deepEqual(m.valueOf(), [0,1,20,30,4,5,6]);
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m.subset(index(4), 40);
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assert.deepEqual(m.valueOf(), [0,1,20,30,40,5,6]);
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// set 2-dimensional
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m = math.matrix();
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m.resize([3,3]);
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assert.deepEqual(m.valueOf(), [[0,0,0],[0,0,0],[0,0,0]]);
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m.subset(index([1,3], [1,3]), [[1,2],[3,4]]);
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assert.deepEqual(m.valueOf(), [[0,0,0],[0,1,2],[0,3,4]]);
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m.subset(index(0, [0,3]), [5,6,7]); // unsqueezes the submatrix
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assert.deepEqual(m.valueOf(), [[5,6,7],[0,1,2],[0,3,4]]);
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});
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it('should resize the matrix if the replacement subset is different size than selected subset', function() {
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// set 2-dimensional with resize
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var m = math.matrix([[123]]);
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m.subset(index([1,3], [1,3]), [[1,2],[3,4]]);
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assert.deepEqual(m.valueOf(), [[123,0,0],[0,1,2],[0,3,4]]);
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// set resize dimensions
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m = math.matrix([123]);
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assert.deepEqual(m.size(), [1]);
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m.subset(index([1,3], [1,3]), [[1,2],[3,4]]);
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assert.deepEqual(m.valueOf(), [[123,0,0],[0,1,2],[0,3,4]]);
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m.subset(index([0,2], [0,2]), [[55,55],[55,55]]);
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assert.deepEqual(m.valueOf(), [[55,55,0],[55,55,2],[0,3,4]]);
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m = math.matrix();
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m.subset(index([1,3], [1,3], [1,3]), [[[1,2],[3,4]],[[5,6],[7,8]]]);
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assert.deepEqual(m.valueOf(), [
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[
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[0,0,0],
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[0,0,0],
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[0,0,0]
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],
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[
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[0,0,0],
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[0,1,2],
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[0,3,4]
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],
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[
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[0,0,0],
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[0,5,6],
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[0,7,8]
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]
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]);
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});
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});
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describe('map', function() {
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it('should apply the given function to all elements in the matrix', function() {
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var m, m2;
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m = math.matrix([
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[[1,2],[3,4]],
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[[5,6],[7,8]],
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[[9,10],[11,12]],
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[[13,14],[15,16]]
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]);
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m2 = m.map(function (value) { return value * 2; });
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assert.deepEqual(m2.valueOf(), [
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[[2,4],[6,8]],
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[[10,12],[14,16]],
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[[18,20],[22,24]],
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[[26,28],[30,32]]
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]);
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m = math.matrix([1]);
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m2 = m.map(function (value) { return value * 2; });
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assert.deepEqual(m2.valueOf(), [2]);
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m = math.matrix([1,2,3]);
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m2 = m.map(function (value) { return value * 2; });
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assert.deepEqual(m2.valueOf(), [2,4,6]);
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});
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it('should work on empty matrices', function() {
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var m, m2;
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m = math.matrix([]);
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m2 = m.map(function (value) { return value * 2; });
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assert.deepEqual(m2.valueOf(), []);
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});
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it('should invoke callback with parameters value, index, obj', function() {
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var m = math.matrix([[1,2,3], [4,5,6]]);
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assert.deepEqual(m.map(function (value, index, obj) {
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return math.clone([value, index, obj === m]);
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}).valueOf(), [
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[
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[1, [0, 0], true ],
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[2, [0, 1], true ],
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[3, [0, 2], true ]
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],
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[
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[4, [1, 0], true ],
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[5, [1, 1], true ],
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[6, [1, 2], true ]
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]
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]);
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});
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});
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describe('forEach', function() {
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it('should run on all elements of the matrix, last dimension first', function() {
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var m, output;
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m = math.matrix([
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[[1,2],[3,4]],
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[[5,6],[7,8]],
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[[9,10],[11,12]],
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[[13,14],[15,16]]
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]);
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output = [];
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m.forEach(function (value) { output.push(value); });
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assert.deepEqual(output, [1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16]);
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m = math.matrix([1]);
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output = [];
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m.forEach(function (value) { output.push(value); });
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assert.deepEqual(output, [1]);
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m = math.matrix([1,2,3]);
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output = [];
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m.forEach(function (value) { output.push(value); });
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assert.deepEqual(output, [1,2,3]);
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});
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it('should work on empty matrices', function() {
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m = math.matrix([]);
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output = [];
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m.forEach(function (value) { output.push(value); });
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assert.deepEqual(output, []);
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});
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it('should invoke callback with parameters value, index, obj', function() {
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var m = math.matrix([[1,2,3], [4,5,6]]);
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var output = [];
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m.forEach(function (value, index, obj) {
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output.push(math.clone([value, index, obj === m]));
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});
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assert.deepEqual(output, [
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[1, [0, 0], true ],
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[2, [0, 1], true ],
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[3, [0, 2], true ],
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[4, [1, 0], true ],
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[5, [1, 1], true ],
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[6, [1, 2], true ]
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]);
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});
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});
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describe('clone', function() {
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it('should clone the matrix properly', function() {
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var m = math.matrix([[1,2,3], [4,5,6]]);
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var m4 = m.clone();
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assert.deepEqual(m4.size(), [2,3]);
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assert.deepEqual(m4.valueOf(), [[1,2,3], [4,5,6]]);
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});
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});
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});
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// TODO: extensively test Matrix
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