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73 lines
2.6 KiB
JavaScript
73 lines
2.6 KiB
JavaScript
var assert = require('assert'),
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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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cot = math.cot;
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describe('cot', function() {
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it('should return the cotan of a boolean', function () {
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approx.equal(cot(true), 0.642092615934331);
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approx.equal(cot(false), Infinity);
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});
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it('should return the cotan of a number', function() {
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approx.equal(cot(0), Infinity);
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approx.equal(1 / cot(pi*1/4), 1);
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approx.equal(1 / cot(pi*1/8), 0.414213562373095);
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approx.equal(cot(pi*2/4), 0);
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approx.equal(1 / cot(pi*3/4), -1);
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approx.equal(1 / cot(pi*4/4), 0);
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approx.equal(1 / cot(pi*5/4), 1);
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approx.equal(cot(pi*6/4), 0);
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approx.equal(1 / cot(pi*7/4), -1);
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approx.equal(1 / cot(pi*8/4), 0);
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});
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it('should return the cotan of a bignumber (downgrades to number)', function() {
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approx.equal(cot(math.bignumber(1)), 0.642092615934331);
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});
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it('should return the cotan of a complex number', function() {
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var re = 0.00373971037633696;
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var im = 0.99675779656935837;
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approx.deepEqual(cot(complex('2+3i')), complex(-re, -im));
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approx.deepEqual(cot(complex('2-3i')), complex(-re, im));
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approx.deepEqual(cot(complex('-2+3i')), complex(re, -im));
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approx.deepEqual(cot(complex('-2-3i')), complex(re, im));
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approx.deepEqual(cot(complex('i')), complex(0, -1.313035285499331));
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approx.deepEqual(cot(complex('1')), complex(0.642092615934331, 0));
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approx.deepEqual(cot(complex('1+i')), complex(0.217621561854403, -0.868014142895925));
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});
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it('should return the cotan of an angle', function() {
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approx.equal(cot(unit('45deg')), 1);
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approx.equal(cot(unit('-45deg')), -1);
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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 () {cot(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 () {cot('string')});
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});
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var cot123 = [0.642092615934331, -0.457657554360286, -7.015252551434534];
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it('should return the cotan of each element of an array', function() {
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approx.deepEqual(cot([1,2,3]), cot123);
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});
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it('should return the cotan of each element of a matrix', function() {
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approx.deepEqual(cot(matrix([1,2,3])), matrix(cot123));
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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 () {cot()}, math.error.ArgumentsError);
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assert.throws(function () {cot(1, 2)}, math.error.ArgumentsError);
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});
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}); |