mirror of
https://github.com/josdejong/mathjs.git
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100 lines
3.6 KiB
JavaScript
100 lines
3.6 KiB
JavaScript
var assert = require('assert'),
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error = require('../../../lib/error/index'),
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math = require('../../../index'),
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approx = require('../../../tools/approx'),
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pi = math.pi,
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complex = math.complex,
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matrix = math.matrix,
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unit = math.unit,
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tan = math.tan,
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piBigmath = math.create({number: 'BigNumber', precision: 21}),
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bigmath = math.create({precision: 20}),
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Big = bigmath.bignumber,
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bigTan = bigmath.tan;
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describe('tan', function() {
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it('should return the tangent of a boolean', function () {
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approx.equal(tan(true), 1.55740772465490);
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approx.equal(tan(false), 0);
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});
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it('should return the tangent of null', function () {
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approx.equal(tan(null), 0);
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});
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it('should return the tangent of a number', function() {
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approx.equal(tan(0), 0);
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approx.equal(tan(pi*1/4), 1);
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approx.equal(tan(pi*1/8), 0.414213562373095);
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assert.ok(tan(pi*2/4) > 1e10);
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approx.equal(tan(pi*3/4), -1);
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approx.equal(tan(pi*4/4), 0);
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approx.equal(tan(pi*5/4), 1);
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assert.ok(tan(pi*6/4) > 1e10);
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approx.equal(tan(pi*7/4), -1);
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approx.equal(tan(pi*8/4), 0);
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});
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it('should return the tangent of a bignumber', function() {
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var bigPi = piBigmath.pi;
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assert.deepEqual(bigTan(Big(0)), Big(0));
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assert.deepEqual(bigTan(Big(-1)), Big('-1.5574077246549022305'));
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assert.deepEqual(bigTan(bigPi.div(8)).toString(), '0.414213562373095048802');
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// Wolfram: 0.414213562373095048801688724209698078569671875376948073176
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assert.deepEqual(bigTan(bigPi.div(4)).toString(), '0.999999999999999999999');
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});
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it('should return the tangent of a complex number', function() {
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var re = 0.00376402564150425,
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im = 1.00323862735360980;
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approx.deepEqual(tan(complex('2+3i')), complex(-re, im));
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approx.deepEqual(tan(complex('2-3i')), complex(-re, -im));
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approx.deepEqual(tan(complex('-2+3i')), complex(re, im));
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approx.deepEqual(tan(complex('-2-3i')), complex(re, -im));
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approx.deepEqual(tan(complex('i')), complex(0, 0.761594155955765));
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approx.deepEqual(tan(complex('1')), complex(1.55740772465490, 0));
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approx.deepEqual(tan(complex('1+i')), complex(0.271752585319512, 1.083923327338695));
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});
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it('should return the tangent of an angle', function() {
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approx.equal(tan(unit(' 60deg')), math.sqrt(3));
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approx.equal(tan(unit('-135deg')), 1);
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assert(math.type.isBigNumber(tan(unit(math.bignumber(60), 'deg'))));
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approx.equal(tan(unit(math.bignumber(60), 'deg')).toNumber(), math.sqrt(3));
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approx.deepEqual(tan(unit(complex('1+i'), 'rad')), complex(0.271752585319512, 1.083923327338695));
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});
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it('should throw an error if called with an invalid unit', function() {
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assert.throws(function () {tan(unit('5 celsius'))});
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});
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it('should throw an error if called with a string', function() {
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assert.throws(function () {tan('string')});
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});
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var tan123 = [1.557407724654902, -2.185039863261519, -0.142546543074278];
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it('should return the tan of each element of an array', function() {
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approx.deepEqual(tan([1,2,3]), tan123);
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});
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it('should return the tan of each element of a matrix', function() {
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approx.deepEqual(tan(matrix([1,2,3])), matrix(tan123));
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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 () {tan()}, /TypeError: Too few arguments/);
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assert.throws(function () {tan(1, 2)}, /TypeError: Too many arguments/);
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});
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it('should LaTeX tan', function () {
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var expression = math.parse('tan(1)');
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assert.equal(expression.toTex(), '\\tan\\left(1\\right)');
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});
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});
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