mathjs/test/function/matrix/identity.test.js

77 lines
3.3 KiB
JavaScript

var assert = require('assert');
var math = require('../../../src/index');
var matrix = math.matrix;
var identity = math.identity;
describe('identity', function() {
it('should create an empty matrix', function () {
assert.deepEqual(identity(), matrix());
assert.deepEqual(identity([]), []);
assert.deepEqual(identity(matrix([])), matrix());
});
it('should create an empty sparse matrix', function () {
assert.deepEqual(identity('sparse'), matrix('sparse'));
assert.deepEqual(identity(matrix([], 'sparse')), matrix('sparse'));
});
it('should create an identity matrix of the given size', function() {
assert.deepEqual(identity(1), matrix([[1]]));
assert.deepEqual(identity(2), matrix([[1,0],[0,1]]));
assert.deepEqual(identity([2]), [[1,0],[0,1]]);
assert.deepEqual(identity(2,3), matrix([[1,0,0],[0,1,0]]));
assert.deepEqual(identity(3,2), matrix([[1,0],[0,1],[0,0]]));
assert.deepEqual(identity([3,2]), [[1,0],[0,1],[0,0]]);
assert.deepEqual(identity(math.matrix([3,2])), matrix([[1,0],[0,1],[0,0]]));
assert.deepEqual(identity(3,3), matrix([[1,0,0],[0,1,0],[0,0,1]]));
});
it('should create an identity matrix with storage type css of the given size', function() {
assert.deepEqual(identity(1, 'sparse'), matrix([[1]], 'sparse'));
assert.deepEqual(identity(2, 'sparse'), matrix([[1,0],[0,1]], 'sparse'));
assert.deepEqual(identity(2,3, 'sparse'), matrix([[1,0,0],[0,1,0]], 'sparse'));
assert.deepEqual(identity(3,2, 'sparse'), matrix([[1,0],[0,1],[0,0]], 'sparse'));
assert.deepEqual(identity(3,3, 'sparse'), matrix([[1,0,0],[0,1,0],[0,0,1]], 'sparse'));
});
it('should create an identity matrix with bignumbers', function() {
var zero = math.bignumber(0);
var one = math.bignumber(1);
var two = math.bignumber(2);
var three = math.bignumber(3);
assert.deepEqual(identity(two), matrix([[one,zero],[zero,one]]));
//assert.deepEqual(identity(two, 'sparse'), matrix([[one,zero],[zero,one]], 'sparse')); // FIXME: identity css
assert.deepEqual(identity(two, three), matrix([[one,zero,zero],[zero,one,zero]]));
//assert.deepEqual(identity(two, three, 'sparse'), matrix([[one,zero,zero],[zero,one,zero]], 'sparse')); // FIXME: identity css
});
it('should return an array when setting matrix=="array"', function() {
var math2 = math.create({matrix: 'Array'});
assert.deepEqual(math2.identity(2), [[1,0],[0,1]]);
});
it('should throw an error with an invalid input', function() {
assert.throws(function () {identity(3, 3, 2);});
assert.throws(function () {identity([3, 3, 2]);});
assert.throws(function () {identity([3, 3], 2);});
assert.throws(function () {identity([3.2, 3]);});
assert.throws(function () {identity([3, 3.2]);});
assert.throws(function () {identity([3.2, 3.2]);});
assert.throws(function () {identity([2, 'str']);});
assert.throws(function () {identity(['str', 2]);});
assert.throws(function () {identity([-2, 2]);});
assert.throws(function () {identity([2, -2]);});
});
it('should LaTeX identity', function () {
var expression = math.parse('identity(2)');
assert.equal(expression.toTex(), '\\mathrm{identity}\\left(2\\right)');
});
it('should throw an error when using the deprecated function eye', function () {
assert.throws(function () {math.eye(2);}, /Function "eye" is renamed to "identity"/);
});
});