mirror of
https://github.com/josdejong/mathjs.git
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87 lines
3.3 KiB
JavaScript
87 lines
3.3 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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coth = math.coth,
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bigmath = math.create({precision: 20}),
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biggermath = math.create({number: 'bignumber', precision: 21});
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describe('coth', function() {
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it('should return the coth of a boolean', function () {
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approx.equal(coth(true), 1.3130352854993);
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approx.equal(coth(false), Number.POSITIVE_INFINITY);
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});
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it('should return the coth of null', function () {
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approx.equal(coth(null), Number.POSITIVE_INFINITY);
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});
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it('should return the coth of a number', function() {
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approx.equal(coth(0), Number.POSITIVE_INFINITY);
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approx.equal(coth(pi), 1.0037418731973);
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approx.equal(coth(1), 1.3130352854993);
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approx.equal(coth(2), 1.0373147207275);
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approx.equal(coth(3), 1.0049698233137);
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});
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it('should return the coth of a bignumber', function() {
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var cothBig = bigmath.coth;
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var Big = bigmath.bignumber;
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assert.deepEqual(cothBig(Big(0)), Big(Number.POSITIVE_INFINITY));
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assert.deepEqual(cothBig(Big(1)), Big('1.3130352854993313036'));
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assert.deepEqual(cothBig(Big(2)), Big('1.0373147207275480959'));
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assert.deepEqual(cothBig(Big(3)), Big('1.0049698233136891711'));
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/* Pass in extra digits to pi. */
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assert.deepEqual(cothBig(biggermath.pi), Big('1.0037418731973212882'));
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});
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it('should return the coth of a complex number', function() {
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approx.deepEqual(coth(complex('1')), complex(1.3130352854993, 0));
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approx.deepEqual(coth(complex('i')), complex(0, -0.64209261593433));
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approx.deepEqual(coth(complex('2 + i')), complex(0.98432922645819, -0.032797755533753));
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});
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it('should return the coth of an angle', function() {
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approx.equal(coth(unit('90deg')), 1.0903314107274);
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approx.equal(coth(unit('-45deg')), -1.5248686188221);
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assert(coth(unit(math.bignumber(90), 'deg')).isBigNumber);
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approx.equal(coth(unit(math.bignumber(90), 'deg')).toNumber(), 1.0903314107274);
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approx.deepEqual(coth(math.unit(complex('2 + i'), 'rad')), complex(0.98432922645819, -0.032797755533753));
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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 () {coth(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 () {coth('string')});
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});
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var coth123 = [1.3130352854993, 1.0373147207275, 1.0049698233137];
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it('should return the coth of each element of an array', function() {
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approx.deepEqual(coth([1,2,3]), coth123);
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});
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it('should return the coth of each element of a matrix', function() {
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approx.deepEqual(coth(matrix([1,2,3])), matrix(coth123));
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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 () {coth()}, /TypeError: Too few arguments/);
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assert.throws(function () {coth(1, 2)}, /TypeError: Too many arguments/);
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});
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it('should LaTeX coth', function () {
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var expression = math.parse('coth(1)');
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assert.equal(expression.toTex(), '\\coth\\left(1\\right)');
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});
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});
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