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103 lines
3.8 KiB
JavaScript
103 lines
3.8 KiB
JavaScript
// test dotMultiply (element-wise multiply)
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var assert = require('assert'),
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math = require('../../../index'),
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approx = require('../../../tools/approx'),
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error = require('../../../lib/error/index'),
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dotMultiply = math.dotMultiply,
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divide = math.divide,
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matrix = math.matrix,
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complex = math.complex,
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range = math.range,
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i = math.i,
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unit = math.unit;
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describe('dotMultiply', function() {
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it('should multiply 2 numbers', function() {
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// number
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approx.equal(dotMultiply(2, 3), 6);
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approx.equal(dotMultiply(-2, 3), -6);
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approx.equal(dotMultiply(-2, -3), 6);
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approx.equal(dotMultiply(5, 0), 0);
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approx.equal(dotMultiply(0, 5), 0);
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});
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it('should multiply booleans', function() {
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assert.equal(dotMultiply(true, true), 1);
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assert.equal(dotMultiply(true, false), 0);
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assert.equal(dotMultiply(false, true), 0);
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assert.equal(dotMultiply(false, false), 0);
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});
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it('should multiply mixed numbers and booleans', function() {
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assert.equal(dotMultiply(2, true), 2);
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assert.equal(dotMultiply(2, false), 0);
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assert.equal(dotMultiply(true, 2), 2);
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assert.equal(dotMultiply(false, 2), 0);
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});
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it('should multiply numbers and null', function () {
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assert.equal(dotMultiply(1, null), 0);
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assert.equal(dotMultiply(null, 1), 0);
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});
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it('should multiply 2 complex numbers', function() {
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// complex
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approx.deepEqual(dotMultiply(complex(2, 3), 2), complex(4, 6));
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approx.deepEqual(dotMultiply(complex(2, -3), 2), complex(4, -6));
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approx.deepEqual(dotMultiply(complex(0, 1), complex(2, 3)), complex(-3, 2));
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approx.deepEqual(dotMultiply(complex(2, 3), complex(2, 3)), complex(-5, 12));
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approx.deepEqual(dotMultiply(2, complex(2, 3)), complex(4, 6));
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approx.deepEqual(divide(complex(-5, 12), complex(2, 3)), complex(2, 3));
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});
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it('should multiply a unit by a number', function() {
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// unit
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assert.equal(dotMultiply(2, unit('5 mm')).toString(), '10 mm');
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assert.equal(dotMultiply(2, unit('5 mm')).toString(), '10 mm');
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assert.equal(dotMultiply(unit('5 mm'), 2).toString(), '10 mm');
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assert.equal(dotMultiply(unit('5 mm'), 0).toString(), '0 m');
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});
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it('should throw an error with strings', function() {
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// string
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assert.throws(function () {dotMultiply("hello", "world")});
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assert.throws(function () {dotMultiply("hello", 2)});
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});
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var a = matrix([[1,2],[3,4]]);
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var b = matrix([[5,6],[7,8]]);
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var c = matrix([[5],[6]]);
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var d = matrix([[5,6]]);
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it('should multiply a all elements in a matrix by a number', function() {
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// matrix, array, range
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approx.deepEqual(dotMultiply(a, 3), matrix([[3,6],[9,12]]));
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approx.deepEqual(dotMultiply(3, a), matrix([[3,6],[9,12]]));
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});
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it('should perform element-wise matrix multiplication', function() {
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approx.deepEqual(dotMultiply(a, b), matrix([[5,12],[21,32]]));
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approx.deepEqual(dotMultiply([[1,2],[3,4]], [[5,6],[7,8]]), [[5,12],[21,32]]);
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approx.deepEqual(dotMultiply([1,2,3,4], 2), [2, 4, 6, 8]);
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});
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it('should throw an error if matrices are of different sizes', function() {
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assert.throws(function () {dotMultiply(a, c)});
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assert.throws(function () {dotMultiply(d, a)});
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assert.throws(function () {dotMultiply(d, b)});
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assert.throws(function () {dotMultiply(d, c)});
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assert.throws(function () {dotMultiply(c, b)});
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});
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it('should throw an error in case of invalid number of arguments', function() {
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assert.throws(function () {dotMultiply(1)}, error.ArgumentsError);
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assert.throws(function () {dotMultiply(1, 2, 3)}, error.ArgumentsError);
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});
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it('should LaTeX dotMultiply', function () {
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var expression = math.parse('dotMultiply([1,2],[3,4])');
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assert.equal(expression.toTex(), '\\left(\\begin{bmatrix}1\\\\2\\\\\\end{bmatrix}.\\cdot\\begin{bmatrix}3\\\\4\\\\\\end{bmatrix}\\right)');
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});
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});
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