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877 lines
29 KiB
JavaScript
877 lines
29 KiB
JavaScript
// test 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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market = require('../../../tools/matrixmarket'),
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multiply = math.multiply,
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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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bignumber = math.bignumber,
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i = math.i,
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unit = math.unit;
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describe('multiply', function() {
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describe('Scalar', function () {
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it('should multiply two numbers correctly', function() {
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approx.equal(multiply(2, 3), 6);
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approx.equal(multiply(-2, 3), -6);
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approx.equal(multiply(-2, -3), 6);
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approx.equal(multiply(5, 0), 0);
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approx.equal(multiply(0, 5), 0);
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approx.deepEqual(multiply(0, Infinity), NaN);
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approx.deepEqual(multiply(2, Infinity), Infinity);
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approx.deepEqual(multiply(-2, Infinity), -Infinity);
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});
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it('should multiply booleans', function() {
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assert.equal(multiply(true, true), 1);
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assert.equal(multiply(true, false), 0);
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assert.equal(multiply(false, true), 0);
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assert.equal(multiply(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(multiply(2, true), 2);
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assert.equal(multiply(2, false), 0);
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assert.equal(multiply(true, 2), 2);
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assert.equal(multiply(false, 2), 0);
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});
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it('should multiply numbers and null', function () {
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assert.equal(multiply(1, null), 0);
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assert.equal(multiply(null, 1), 0);
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});
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it('should multiply bignumbers', function() {
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assert.deepEqual(multiply(bignumber(1.5), bignumber(0.2)), bignumber(0.3));
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assert.deepEqual(multiply(bignumber('1.3e5000'), bignumber('2')), bignumber('2.6e5000'));
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});
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it('should multiply mixed numbers and bignumbers', function() {
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assert.deepEqual(multiply(bignumber(1.5), 0.2), bignumber(0.3));
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assert.deepEqual(multiply(1.5, bignumber(0.2)), bignumber(0.3));
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assert.deepEqual(multiply(bignumber('1.3e5000'), 2), bignumber('2.6e5000'));
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assert.throws(function () {multiply(1/3, bignumber(1).div(3));}, /Cannot implicitly convert a number with >15 significant digits to BigNumber/);
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assert.throws(function () {multiply(bignumber(1).div(3), 1/3);}, /Cannot implicitly convert a number with >15 significant digits to BigNumber/);
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});
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it('should multiply mixed booleans and bignumbers', function() {
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assert.deepEqual(multiply(bignumber(0.3), true), bignumber(0.3));
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assert.deepEqual(multiply(bignumber(0.3), false), bignumber(0));
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assert.deepEqual(multiply(false, bignumber('2')), bignumber(0));
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assert.deepEqual(multiply(true, bignumber('2')), bignumber(2));
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});
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it('should multiply two complex numbers correctly', function() {
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approx.deepEqual(multiply(complex(2, 3), 2), complex(4, 6));
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approx.deepEqual(multiply(complex(2, -3), -2), complex(-4, 6));
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approx.deepEqual(multiply(complex(2, -3), 2), complex(4, -6));
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approx.deepEqual(multiply(complex(-2, 3), 2), complex(-4, 6));
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approx.deepEqual(multiply(complex(-2, -3), 2), complex(-4, -6));
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approx.deepEqual(multiply(2, complex(2, 3)), complex(4, 6));
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approx.deepEqual(multiply(i, complex(2, 3)), complex(-3, 2));
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approx.deepEqual(multiply(complex(0, 1), complex(2, 3)), complex(-3, 2));
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approx.deepEqual(multiply(complex(1, 1), complex(2, 3)), complex(-1, 5));
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approx.deepEqual(multiply(complex(2, 3), complex(1, 1)), complex(-1, 5));
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approx.deepEqual(multiply(complex(2, 3), complex(2, 3)), complex(-5, 12));
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approx.deepEqual(divide(complex(-5, 12), complex(2, 3)), complex(2, 3));
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approx.deepEqual(multiply(complex(2, 3), 0), complex(0, 0));
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approx.deepEqual(multiply(complex(0, 3), complex(0, -4)), complex(12, 0));
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approx.deepEqual(multiply(multiply(3, i), multiply(-4, i)), complex(12, 0));
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approx.deepEqual(multiply(math.i, Infinity), complex(NaN, Infinity));
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approx.deepEqual(multiply(Infinity, math.i), complex(NaN, Infinity));
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approx.deepEqual(multiply(complex(2,0), complex(0,2)), complex(0, 4));
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approx.deepEqual(multiply(complex(0,2), complex(0,2)), -4);
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approx.deepEqual(multiply(complex(2,2), complex(0,2)), complex(-4, 4));
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approx.deepEqual(multiply(complex(2,0), complex(2,2)), complex(4, 4));
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approx.deepEqual(multiply(complex(0,2), complex(2,2)), complex(-4, 4));
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approx.deepEqual(multiply(complex(2,2), complex(2,2)), complex(0, 8));
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approx.deepEqual(multiply(complex(2,0), complex(2,0)), 4);
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approx.deepEqual(multiply(complex(0,2), complex(2,0)), complex(0, 4));
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approx.deepEqual(multiply(complex(2,2), complex(2,0)), complex(4, 4));
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approx.deepEqual(multiply(complex(2, 3), complex(4, 5)), complex(-7, 22));
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approx.deepEqual(multiply(complex(2, 3), complex(4, -5)), complex(23, 2));
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approx.deepEqual(multiply(complex(2, 3), complex(-4, 5)), complex(-23, -2));
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approx.deepEqual(multiply(complex(2, 3), complex(-4, -5)), complex(7, -22));
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approx.deepEqual(multiply(complex(2, -3), complex(4, 5)), complex(23, -2));
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approx.deepEqual(multiply(complex(2, -3), complex(4, -5)), complex(-7, -22));
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approx.deepEqual(multiply(complex(2, -3), complex(-4, 5)), complex(7, 22));
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approx.deepEqual(multiply(complex(2, -3), complex(-4, -5)), complex(-23, 2));
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approx.deepEqual(multiply(complex(-2, 3), complex(4, 5)), complex(-23, 2));
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approx.deepEqual(multiply(complex(-2, 3), complex(4, -5)), complex(7, 22));
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approx.deepEqual(multiply(complex(-2, 3), complex(-4, 5)), complex(-7, -22));
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approx.deepEqual(multiply(complex(-2, 3), complex(-4, -5)), complex(23, -2));
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approx.deepEqual(multiply(complex(-2, -3), complex(4, 5)), complex(7, -22));
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approx.deepEqual(multiply(complex(-2, -3), complex(4, -5)), complex(-23, -2));
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approx.deepEqual(multiply(complex(-2, -3), complex(-4, 5)), complex(23, 2));
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approx.deepEqual(multiply(complex(-2, -3), complex(-4, -5)), complex(-7, 22));
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});
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it('should multiply mixed complex numbers and numbers', function() {
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assert.deepEqual(multiply(math.complex(6, -4), 2), math.complex(12, -8));
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assert.deepEqual(multiply(2, math.complex(2, 4)), math.complex(4, 8));
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});
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it('should multiply mixed complex numbers and big numbers', function() {
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assert.deepEqual(multiply(math.complex(6, -4), math.bignumber(2)), math.complex(12, -8));
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assert.deepEqual(multiply(math.bignumber(2), math.complex(2, 4)), math.complex(4, 8));
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});
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it('should multiply two fractions', function() {
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var a = math.fraction(1,4);
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assert.equal(multiply(a, math.fraction(1,2)).toString(), '0.125');
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assert.equal(a.toString(), '0.25');
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assert.equal(multiply(math.fraction(2), math.fraction(1,3)).toString(), '0.(6)');
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});
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it('should multiply mixed fractions and numbers', function() {
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assert.deepEqual(multiply(2, math.fraction(1,3)), math.fraction(2,3));
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assert.deepEqual(multiply(math.fraction(1,3), 2), math.fraction(2,3));
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});
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it('should multiply a number and a unit correctly', function() {
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assert.equal(multiply(2, unit('5 mm')).toString(), '10 mm');
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assert.equal(multiply(2, unit('5 mm')).toString(), '10 mm');
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assert.equal(multiply(10, unit('celsius')).toString(), '10 celsius');
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assert.equal(multiply(unit('5 mm'), 2).toString(), '10 mm');
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assert.equal(multiply(unit('5 mm'), 0).toString(), '0 mm');
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assert.equal(multiply(unit('celsius'), 10).toString(), '10 celsius');
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assert.equal(multiply(unit(math.fraction(1,4), 'm'), 3).toString(), '3/4 m');
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assert.equal(multiply(3, unit(math.fraction(1,4), 'm')).toString(), '3/4 m');
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assert.equal(multiply(math.fraction(1,4), unit(3, 'm')).toString(), '3/4 m');
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assert.equal(multiply(unit(3, 'm'), math.fraction(1,4)).toString(), '3/4 m');
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assert.equal(multiply(unit(math.complex(9, 8), 'm'), 2).toString(), '(18 + 16i) m');
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assert.equal(math.format(multiply(unit(math.complex(2, 3), 'g'), math.complex(4, 5)), 14), '(-7 + 22i) g');
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});
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it('should multiply a number and a unit without value correctly', function() {
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assert.equal(multiply(2, unit('mm')).toString(), '2 mm');
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assert.equal(multiply(2, unit('km')).toString(), '2 km');
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assert.equal(multiply(2, unit('inch')).toString(), '2 inch');
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assert.equal(multiply(unit('mm'), 2).toString(), '2 mm');
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assert.equal(multiply(unit('km'), 2).toString(), '2 km');
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assert.equal(multiply(unit('inch'), 2).toString(), '2 inch');
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});
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it('should multiply two units correctly', function() {
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assert.equal(multiply(unit('2 m'), unit('4 m')).toString(), '8 m^2');
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assert.equal(multiply(unit('2 ft'), unit('4 ft')).toString(), '8 ft^2');
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assert.equal(multiply(unit('65 mi/h'), unit('2 h')).to('mi').toString(), '130 mi');
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assert.equal(multiply(unit('2 L'), unit('1 s^-1')).toString(), '2 L / s');
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assert.equal(multiply(unit('2 m/s'), unit('0.5 s/m')).toString(), '1');
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assert.equal(multiply(unit(math.complex(3,-4), 'N'), unit(math.complex(7,-2), 'm')).toString(), '(13 - 34i) J');
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});
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it('should multiply valueless units correctly', function() {
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assert.equal(multiply(unit('m'), unit('4 m')).toString(), '4 m^2');
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assert.equal(multiply(unit('ft'), unit('4 ft')).format(5), '4 ft^2');
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assert.equal(multiply(unit('65 mi/h'), unit('h')).to('mi').toString(), '65 mi');
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assert.equal(multiply(unit('2 L'), unit('s^-1')).toString(), '2 L / s');
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assert.equal(multiply(unit('m/s'), unit('h/m')).toString(), '(m h) / (s m)');
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});
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// TODO: cleanup once decided to not downgrade BigNumber to number
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it.skip('should multiply a bignumber and a unit correctly', function() {
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assert.equal(multiply(bignumber(2), unit('5 mm')).toString(), '10 mm');
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assert.equal(multiply(bignumber(2), unit('5 mm')).toString(), '10 mm');
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assert.equal(multiply(unit('5 mm'), bignumber(2)).toString(), '10 mm');
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assert.equal(multiply(unit('5 mm'), bignumber(0)).toString(), '0 m');
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});
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// TODO: cleanup once decided to not downgrade BigNumber to number
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it.skip('should multiply a bignumber and a unit without value correctly', function() {
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assert.equal(multiply(bignumber(2), unit('mm')).toString(), '2 mm');
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assert.equal(multiply(bignumber(2), unit('km')).toString(), '2 km');
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assert.equal(multiply(bignumber(2), unit('inch')).toString(), '2 inch');
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assert.equal(multiply(unit('mm'), bignumber(2)).toString(), '2 mm');
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assert.equal(multiply(unit('km'), bignumber(2)).toString(), '2 km');
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assert.equal(multiply(unit('inch'), bignumber(2)).toString(), '2 inch');
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});
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it('should throw an error in case of unit non-numeric argument', function() {
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// Multiplying two units is supported now
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//assert.throws(function () {multiply(math.unit('5cm'), math.unit('4cm'));}, /TypeError: Unexpected type/);
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// Complex units are supported now
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//assert.throws(function () {multiply(math.unit('5cm'), math.complex('2+3i'));}, /TypeError: Unexpected type/);
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//assert.throws(function () {multiply(math.complex('2+3i'), math.unit('5cm'));}, /TypeError: Unexpected type/);
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});
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it('should throw an error if used with strings', function() {
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assert.throws(function () {multiply("hello", "world");});
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assert.throws(function () {multiply("hello", 2);});
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});
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});
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it('should multiply mixed array and matrix', function () {
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var a = [[1, 2], [3, 4]];
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var b = [[2, 0], [0, 2]];
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approx.deepEqual(multiply(a, matrix(b)), matrix([[2, 4], [6, 8]]));
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approx.deepEqual(multiply(matrix(a), b), matrix([[2, 4], [6, 8]]));
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// test with vectors, returning a scalar
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var c = [1, 2, 3];
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var d = [4, 5, 6];
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assert.strictEqual(multiply(c, matrix(d)), 32);
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assert.strictEqual(multiply(matrix(c), d), 32);
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});
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describe('squeeze', function () {
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it ('should squeeze scalar results of matrix * matrix', function () {
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var a = [[1, 2, 3]];
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var b = [[4], [5], [6]];
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assert.strictEqual(multiply(a, b), 32);
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});
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it ('should squeeze scalar results of vector * matrix', function () {
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var a = [1, 2, 3];
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var b = [[4], [5], [6]];
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assert.strictEqual(multiply(a, b), 32);
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});
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it ('should squeeze scalar results of matrix * vector', function () {
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var a = [[1, 2, 3]];
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var b = [4, 5, 6];
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assert.strictEqual(multiply(a, b), 32);
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});
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});
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it('should throw an error when multiplying matrices with incompatible sizes', function() {
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// vector * vector
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assert.throws(function () {multiply([1,1], [1,1, 1]);});
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// matrix * matrix
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assert.throws(function () {multiply([[1,1]], [[1,1]]);});
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assert.throws(function () {multiply([[1,1]], [[1,1], [1,1], [1,1]]);});
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// matrix * vector
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assert.throws(function () {multiply([[1,1], [1,1]], [1,1,1]);});
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// vector * matrix
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assert.throws(function () {multiply([1,1,1], [[1,1], [1,1]]);});
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});
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it('should throw an error when multiplying multi dimensional matrices', function() {
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assert.throws(function () {multiply([[[1]]], [1]);});
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assert.throws(function () {multiply([[[1]]], [[1]]);});
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assert.throws(function () {multiply([1], [[[1]]]);});
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assert.throws(function () {multiply([[1]], [[[1]]]);});
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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 () {multiply(1);}, /TypeError: Too few arguments/);
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assert.throws(function () {multiply(1, 2, 3);}, /TypeError: Too many arguments/);
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});
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describe('Vector', function () {
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it('should multiply vectors correctly (dot product)', function () {
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var a = [1, 2, 3];
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var b = [4, 5, 6];
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approx.deepEqual(multiply(a, b), 32);
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approx.deepEqual(multiply(matrix(a), matrix(b)), 32);
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});
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it('should multiply row vector x column vector', function () {
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var v = [[1, 2, 3, 0, 0, 5, 6]];
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var r = multiply(v, [[3], [4], [6], [0], [1], [2], [0]]);
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assert.equal(r, 39);
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r = multiply(v, math.matrix([[3], [4], [6], [0], [1], [2], [0]], 'dense'));
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assert.equal(r, 39);
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r = multiply(v, math.matrix([[3], [4], [6], [0], [1], [2], [0]], 'sparse'));
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assert.equal(r, 39);
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});
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it('should multiply dense row vector x column vector', function () {
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var v = math.matrix([[1, 2, 3, 0, 0, 5, 6]], 'dense');
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var r = multiply(v, [[3], [4], [6], [0], [1], [2], [0]]);
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assert.equal(r, 39);
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r = multiply(v, math.matrix([[3], [4], [6], [0], [1], [2], [0]], 'dense'));
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assert.equal(r, 39);
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r = multiply(v, math.matrix([[3], [4], [6], [0], [1], [2], [0]], 'sparse'));
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assert.equal(r, 39);
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});
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it('should throw an error when multiplying empty vectors', function () {
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assert.throws(function () {multiply([], []);}, /Cannot multiply two empty vectors/);
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});
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it('should multiply a vector with a matrix correctly', function () {
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var a = [1, 2, 3];
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var b = [
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[8, 1, 6],
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[3, 5, 7],
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[4, 9, 2]
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];
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approx.deepEqual(multiply(a, b), [26, 38, 26]);
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approx.deepEqual(multiply(b, a), [28, 34, 28]);
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approx.deepEqual(multiply(matrix(a), matrix(b)), matrix([26, 38, 26]));
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approx.deepEqual(multiply(matrix(b), matrix(a)), matrix([28, 34, 28]));
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});
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});
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describe('Dense Matrix', function () {
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it('should multiply matrix x scalar', function() {
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var m = math.matrix([
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[2, 0],
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[4, 0]
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]);
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var r = multiply(m, 3);
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assert.deepEqual(r._size, m._size);
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assert.deepEqual(r._data, [[6, 0], [12, 0]]);
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r = multiply(m, math.complex(3, 3));
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assert.deepEqual(r._size, m._size);
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assert.deepEqual(r._data, [[math.complex(6, 6), math.complex(0, 0)], [math.complex(12, 12), math.complex(0, 0)]]);
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r = multiply(m, math.bignumber(3));
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assert.deepEqual(r._size, m._size);
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assert.deepEqual(r._data, [[math.bignumber(6), math.bignumber(0)], [math.bignumber(12), math.bignumber(0)]]);
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r = multiply(m, true);
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assert.deepEqual(r._size, m._size);
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assert.deepEqual(r._data, [[2, 0], [4, 0]]);
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r = multiply(m, false);
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assert.deepEqual(r._size, m._size);
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assert.deepEqual(r._data, [[0, 0], [0, 0]]);
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});
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it('should multiply matrix x matrix with zeros', function() {
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var m = math.matrix([
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[2, 0],
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[4, 0]
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]);
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var r = multiply(m, math.matrix([
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[2, 0],
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[4, 0]
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]));
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assert.deepEqual(
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r.valueOf(),
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[
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[4, 0],
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[8, 0]
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]);
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r = multiply(m, math.matrix([
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[2, 0],
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[4, 0]
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], 'sparse'));
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assert.deepEqual(
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r.valueOf(),
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[
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[4, 0],
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[8, 0]
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]);
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});
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it('should multiply matrix x matrix', function() {
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var m = math.matrix([[1, 2], [3, 4]], 'dense');
|
|
|
|
var r = multiply(m, math.matrix([[5, 6], [7, 8]], 'sparse'));
|
|
assert.deepEqual(
|
|
r.valueOf(),
|
|
[
|
|
[19, 22],
|
|
[43, 50]
|
|
]);
|
|
|
|
r = multiply(m, math.matrix([[5, 6], [7, 8]], 'dense'));
|
|
assert.deepEqual(
|
|
r.valueOf(),
|
|
[
|
|
[19, 22],
|
|
[43, 50]
|
|
]);
|
|
});
|
|
|
|
it('should multiply matrix x matrix, number datatype', function() {
|
|
var m1 = math.matrix([[1, 2], [3, 4]], 'dense', 'number');
|
|
var m2 = math.matrix([[5, 6], [7, 8]], 'dense', 'number');
|
|
|
|
var r = multiply(m1, m2);
|
|
assert(r.datatype() === 'number');
|
|
assert.deepEqual(
|
|
r.valueOf(),
|
|
[
|
|
[19, 22],
|
|
[43, 50]
|
|
]);
|
|
});
|
|
|
|
it('should multiply matrix x array', function() {
|
|
var m = math.matrix([
|
|
[2, 0],
|
|
[4, 0]
|
|
]);
|
|
|
|
var r = multiply(
|
|
m,
|
|
[
|
|
[2, 0],
|
|
[4, 0]
|
|
]);
|
|
assert.deepEqual(
|
|
r.valueOf(),
|
|
[
|
|
[4, 0],
|
|
[8, 0]
|
|
]);
|
|
|
|
r = multiply(
|
|
m,
|
|
[
|
|
[2, 0, 1],
|
|
[4, 0, 1]
|
|
]);
|
|
assert.deepEqual(
|
|
r.valueOf(),
|
|
[
|
|
[4, 0, 2],
|
|
[8, 0, 4]
|
|
]);
|
|
});
|
|
|
|
it('should multiply matrix x vector array', function() {
|
|
var m = math.matrix([
|
|
[2, 0],
|
|
[4, 0]
|
|
]);
|
|
|
|
var r = multiply(
|
|
m,
|
|
[
|
|
[2],
|
|
[4]
|
|
]);
|
|
assert.deepEqual(
|
|
r.valueOf(),
|
|
[
|
|
[4],
|
|
[8]
|
|
]);
|
|
});
|
|
|
|
it ('should squeeze scalar results of matrix * matrix', function () {
|
|
var a = math.matrix(
|
|
[
|
|
[1, 2, 3]
|
|
]);
|
|
var b = math.matrix(
|
|
[
|
|
[4],
|
|
[5],
|
|
[6]
|
|
]);
|
|
assert.strictEqual(multiply(a, b), 32);
|
|
});
|
|
|
|
it ('should squeeze scalar results of matrix * vector', function () {
|
|
var a = math.matrix(
|
|
[
|
|
[1, 2, 3]
|
|
]);
|
|
var b = [4, 5, 6];
|
|
assert.strictEqual(multiply(a, b), 32);
|
|
});
|
|
|
|
it('should throw an error when multiplying matrices with incompatible sizes', function() {
|
|
// vector * vector
|
|
assert.throws(function () {multiply(math.matrix([1,1], 'dense'), [1, 1, 1]);});
|
|
|
|
// matrix * matrix
|
|
assert.throws(function () {multiply(math.matrix([[1,1]], 'dense'), [[1,1]]);});
|
|
assert.throws(function () {multiply(math.matrix([[1,1]], 'dense'), [[1,1], [1,1], [1,1]]);});
|
|
|
|
// matrix * vector
|
|
assert.throws(function () {multiply(math.matrix([[1,1], [1,1]], 'dense'), [1,1,1]);});
|
|
|
|
// vector * matrix
|
|
assert.throws(function () {multiply(math.matrix([1,1,1], 'dense'), [[1,1], [1,1]]);});
|
|
});
|
|
|
|
it('should multiply triangular matrices', function () {
|
|
var l = [
|
|
[1, 0, 0, 0],
|
|
[-0.5, 1, 0, 0],
|
|
[0, -0.7, 1, 0],
|
|
[0.0666667, -0.4, -0.5714286, 1]
|
|
];
|
|
var u = [
|
|
[240, -2700, 6480, -4200],
|
|
[0, -150, 540, -420],
|
|
[0, 0, -42, 56],
|
|
[0, 0, 0, 4]
|
|
];
|
|
|
|
var r = multiply(l, u);
|
|
|
|
approx.deepEqual(
|
|
r.valueOf(),
|
|
[
|
|
[240, -2700, 6480, -4200],
|
|
[-120, 1200, -2700, 1680],
|
|
[0, 105, -420, 350],
|
|
[16, -120, 240, -140]
|
|
]);
|
|
});
|
|
|
|
var a = matrix([[1,2],[3,4]]);
|
|
var b = matrix([[5,6],[7,8]]);
|
|
var c = matrix([[5],[6]]);
|
|
var d = matrix([[5,6]]);
|
|
|
|
it('should perform element-wise multiplication if multiplying a matrix and a number', function() {
|
|
approx.deepEqual(multiply(a, 3), matrix([[3,6],[9,12]]));
|
|
approx.deepEqual(multiply(3, a), matrix([[3,6],[9,12]]));
|
|
});
|
|
|
|
it('should perform matrix multiplication', function () {
|
|
approx.deepEqual(multiply(a, b), matrix([[19,22],[43,50]]));
|
|
approx.deepEqual(multiply(a, c), matrix([[17],[39]]));
|
|
approx.deepEqual(multiply(d, a), matrix([[23,34]]));
|
|
approx.deepEqual(multiply(d, b), matrix([[67,78]]));
|
|
approx.deepEqual(multiply(d, c), 61);
|
|
approx.deepEqual(multiply([[1,2],[3,4]], [[5,6],[7,8]]), [[19,22],[43,50]]);
|
|
approx.deepEqual(multiply([1,2,3,4], 2), [2, 4, 6, 8]);
|
|
approx.deepEqual(multiply(matrix([1,2,3,4]), 2), matrix([2, 4, 6, 8]));
|
|
});
|
|
});
|
|
|
|
describe('Sparse Matrix', function () {
|
|
|
|
it('should multiply matrix x scalar', function() {
|
|
var m = math.matrix([[2, 0], [4, 0]], 'sparse');
|
|
|
|
var r = multiply(m, 3);
|
|
assert.deepEqual(r._size, m._size);
|
|
assert.deepEqual(r._values, [6, 12]);
|
|
assert.deepEqual(r._index, m._index);
|
|
assert.deepEqual(r._ptr, m._ptr);
|
|
|
|
r = multiply(m, math.complex(3, 3));
|
|
assert.deepEqual(r._size, m._size);
|
|
assert.deepEqual(r._values, [math.complex(6, 6), math.complex(12, 12)]);
|
|
assert.deepEqual(r._index, m._index);
|
|
assert.deepEqual(r._ptr, m._ptr);
|
|
|
|
r = multiply(m, math.bignumber(3));
|
|
assert.deepEqual(r._size, m._size);
|
|
assert.deepEqual(r._values, [math.bignumber(6), math.bignumber(12)]);
|
|
assert.deepEqual(r._index, m._index);
|
|
assert.deepEqual(r._ptr, m._ptr);
|
|
|
|
r = multiply(m, true);
|
|
assert.deepEqual(r._size, m._size);
|
|
assert.deepEqual(r._values, [2, 4]);
|
|
assert.deepEqual(r._index, m._index);
|
|
assert.deepEqual(r._ptr, m._ptr);
|
|
|
|
r = multiply(m, false);
|
|
assert.deepEqual(r._size, m._size);
|
|
assert.deepEqual(r._values, []);
|
|
assert.deepEqual(r._index, []);
|
|
assert.deepEqual(r._ptr, [0, 0, 0]);
|
|
});
|
|
|
|
it('should multiply matrix x matrix with zeros', function() {
|
|
var m = math.matrix([[2, 0], [4, 0]], 'sparse');
|
|
|
|
var r = multiply(m, math.matrix([[2, 0], [4, 0]], 'sparse'));
|
|
assert.deepEqual(
|
|
r.valueOf(),
|
|
[
|
|
[4, 0],
|
|
[8, 0]
|
|
]);
|
|
|
|
r = multiply(m, math.matrix([[2, 0], [4, 0]], 'dense'));
|
|
assert.deepEqual(
|
|
r.valueOf(),
|
|
[
|
|
[4, 0],
|
|
[8, 0]
|
|
]);
|
|
});
|
|
|
|
it('should multiply matrix x matrix', function() {
|
|
var m = math.matrix([[1, 2], [3, 4]], 'sparse');
|
|
|
|
var r = multiply(m, math.matrix([[5, 6], [7, 8]], 'sparse'));
|
|
assert.deepEqual(
|
|
r.valueOf(),
|
|
[
|
|
[19, 22],
|
|
[43, 50]
|
|
]);
|
|
|
|
r = multiply(m, math.matrix([[5, 6], [7, 8]], 'dense'));
|
|
assert.deepEqual(
|
|
r.valueOf(),
|
|
[
|
|
[19, 22],
|
|
[43, 50]
|
|
]);
|
|
});
|
|
|
|
it('should multiply matrix x matrix, number datatype', function() {
|
|
var m1 = math.matrix([[1, 2], [3, 4]], 'sparse', 'number');
|
|
var m2 = math.matrix([[5, 6], [7, 8]], 'sparse', 'number');
|
|
|
|
var r = multiply(m1, m2);
|
|
assert(r.datatype() === 'number');
|
|
assert.deepEqual(
|
|
r.valueOf(),
|
|
[
|
|
[19, 22],
|
|
[43, 50]
|
|
]);
|
|
});
|
|
|
|
it('should multiply matrix x array', function() {
|
|
var m = math.matrix([[2, 0], [4, 0]], 'sparse');
|
|
|
|
var r = multiply(m,
|
|
[
|
|
[2, 0],
|
|
[4, 0]
|
|
]);
|
|
assert.deepEqual(
|
|
r.valueOf(),
|
|
[
|
|
[4, 0],
|
|
[8, 0]
|
|
]);
|
|
|
|
r = multiply(m,
|
|
[
|
|
[2, 0, 1],
|
|
[4, 0, 1]
|
|
]);
|
|
assert.deepEqual(
|
|
r.valueOf(),
|
|
[
|
|
[4, 0, 2],
|
|
[8, 0, 4]
|
|
]);
|
|
});
|
|
|
|
it('should multiply matrix x vector array', function() {
|
|
var m = math.matrix([[2, 0], [4, 0]], 'sparse');
|
|
|
|
var r = multiply(m,
|
|
[
|
|
[2],
|
|
[4]
|
|
]);
|
|
assert.deepEqual(
|
|
r.valueOf(),
|
|
[
|
|
[4],
|
|
[8]
|
|
]);
|
|
});
|
|
|
|
it ('should squeeze scalar results of matrix * matrix', function () {
|
|
var a = math.matrix([[1, 2, 3]], 'sparse');
|
|
var b = math.matrix([[4], [5], [6]], 'sparse');
|
|
assert.strictEqual(multiply(a, b), 32);
|
|
});
|
|
|
|
it ('should squeeze scalar results of matrix * vector', function () {
|
|
var a = math.matrix([[1, 2, 3]], 'sparse');
|
|
var b = [4, 5, 6];
|
|
assert.strictEqual(multiply(a, b), 32);
|
|
});
|
|
|
|
it('should throw an error when multiplying matrices with incompatible sizes', function() {
|
|
// vector * vector
|
|
assert.throws(function () {math.matrix([1,1], 'sparse').multiply([1, 1, 1]);});
|
|
|
|
// matrix * matrix
|
|
assert.throws(function () {math.matrix([[1,1]], 'sparse').multiply([[1,1]]);});
|
|
assert.throws(function () {math.matrix([[1,1]], 'sparse').multiply([[1,1], [1,1], [1,1]]);});
|
|
|
|
// matrix * vector
|
|
assert.throws(function () {math.matrix([[1,1], [1,1]], 'sparse').multiply([1,1,1]);});
|
|
|
|
// vector * matrix
|
|
assert.throws(function () {math.matrix([1,1,1], 'sparse').multiply([[1,1], [1,1]]);});
|
|
});
|
|
|
|
it('should multiply triangular matrices', function () {
|
|
var l = math.matrix([
|
|
[1, 0, 0, 0],
|
|
[-0.5, 1, 0, 0],
|
|
[0, -0.7, 1, 0],
|
|
[0.0666667, -0.4, -0.5714286, 1]
|
|
], 'sparse');
|
|
var u = math.matrix([
|
|
[240, -2700, 6480, -4200],
|
|
[0, -150, 540, -420],
|
|
[0, 0, -42, 56],
|
|
[0, 0, 0, 4]
|
|
], 'sparse');
|
|
|
|
var r = multiply(l, u);
|
|
|
|
assert(r.storage(), 'sparse');
|
|
approx.deepEqual(
|
|
r.valueOf(),
|
|
[
|
|
[240, -2700, 6480, -4200],
|
|
[-120, 1200, -2700, 1680],
|
|
[0, 105, -420, 350],
|
|
[16, -120, 240, -140]
|
|
]);
|
|
});
|
|
|
|
var a = matrix([[1,2],[3,4]], 'sparse');
|
|
var b = matrix([[5,6],[7,8]], 'sparse');
|
|
var c = matrix([[5],[6]], 'sparse');
|
|
var d = matrix([[5,6]], 'sparse');
|
|
|
|
it('should perform element-wise multiplication if multiplying a matrix and a number', function() {
|
|
approx.deepEqual(multiply(a, 3), matrix([[3,6],[9,12]], 'sparse'));
|
|
approx.deepEqual(multiply(3, a), matrix([[3,6],[9,12]], 'sparse'));
|
|
});
|
|
|
|
it('should perform matrix multiplication', function () {
|
|
approx.deepEqual(multiply(a, b), matrix([[19,22],[43,50]], 'sparse'));
|
|
approx.deepEqual(multiply(a, c), matrix([[17],[39]], 'sparse'));
|
|
approx.deepEqual(multiply(d, a), matrix([[23,34]], 'sparse'));
|
|
approx.deepEqual(multiply(d, b), matrix([[67,78]], 'sparse'));
|
|
approx.deepEqual(multiply(d, c), 61);
|
|
});
|
|
|
|
it('should multiply two pattern matrices correctly', function() {
|
|
|
|
var a = new math.type.SparseMatrix({
|
|
values: undefined,
|
|
index: [0, 1, 2, 0],
|
|
ptr: [0, 2, 3, 4],
|
|
size: [3, 3]
|
|
});
|
|
|
|
var b = new math.type.SparseMatrix({
|
|
values: undefined,
|
|
index: [0, 1, 2, 1],
|
|
ptr: [0, 3, 3, 4],
|
|
size: [3, 3]
|
|
});
|
|
|
|
var c = multiply(a, b);
|
|
|
|
assert.deepEqual(
|
|
c.valueOf(),
|
|
[
|
|
[1, 0, 0],
|
|
[1, 0, 0],
|
|
[1, 0, 1]
|
|
]);
|
|
});
|
|
|
|
it('should multiply pattern and value matrices correctly', function() {
|
|
|
|
var a = new math.type.SparseMatrix({
|
|
values: undefined,
|
|
index: [0, 1, 2, 0],
|
|
ptr: [0, 2, 3, 4],
|
|
size: [3, 3]
|
|
});
|
|
|
|
var b = new math.type.SparseMatrix({
|
|
values: [1, 2, 3, 4],
|
|
index: [0, 1, 2, 1],
|
|
ptr: [0, 3, 3, 4],
|
|
size: [3, 3]
|
|
});
|
|
|
|
var c = multiply(a, b);
|
|
|
|
assert.deepEqual(
|
|
c.valueOf(),
|
|
[
|
|
[1, 0, 0],
|
|
[1, 0, 0],
|
|
[1, 0, 1]
|
|
]);
|
|
});
|
|
|
|
it('should multiply value and pattern matrices correctly', function() {
|
|
|
|
var a = new math.type.SparseMatrix({
|
|
values: [1, 2, 3, 4],
|
|
index: [0, 1, 2, 0],
|
|
ptr: [0, 2, 3, 4],
|
|
size: [3, 3]
|
|
});
|
|
|
|
var b = new math.type.SparseMatrix({
|
|
values: undefined,
|
|
index: [0, 1, 2, 1],
|
|
ptr: [0, 3, 3, 4],
|
|
size: [3, 3]
|
|
});
|
|
|
|
var c = multiply(a, b);
|
|
|
|
assert.deepEqual(
|
|
c.valueOf(),
|
|
[
|
|
[1, 0, 0],
|
|
[1, 0, 0],
|
|
[1, 0, 1]
|
|
]);
|
|
});
|
|
});
|
|
|
|
describe('Matrix Market', function () {
|
|
|
|
it('should multiply matrix x matrix 1220 x 1220, Matrix Market, sparse x sparse', function (done) {
|
|
// import matrix
|
|
market.import('tools/matrices/fpga_dcop_01.tar.gz', ['fpga_dcop_01/fpga_dcop_01.mtx'])
|
|
.then(function (matrices) {
|
|
// matrix
|
|
var m = matrices[0];
|
|
// multiply matrices, used to compare performance in different implementations
|
|
math.multiply(m, m);
|
|
// indicate test has completed
|
|
done();
|
|
})
|
|
.fail(function (error) {
|
|
// indicate test has completed
|
|
done(error);
|
|
});
|
|
});
|
|
});
|
|
|
|
it('should LaTeX mutliply', function () {
|
|
var expression = math.parse('multiply(2,3)');
|
|
assert.equal(expression.toTex(), '\\left(2\\cdot3\\right)');
|
|
});
|
|
});
|