mirror of
https://github.com/josdejong/mathjs.git
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109 lines
4.2 KiB
JavaScript
109 lines
4.2 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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csc = math.csc,
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bigmath = math.create({number: 'bignumber', precision: 20}),
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biggermath = math.create({number: 'bignumber', precision: 21});
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describe('csc', function() {
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it('should return the cosecant of a boolean', function () {
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approx.equal(csc(true), 1.18839510577812);
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approx.equal(csc(false), Infinity);
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});
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it('should return the cosecant of null', function () {
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approx.equal(csc(null), Infinity);
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});
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it('should return the cosecant of a number', function() {
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approx.equal(1 / csc(0), 0);
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approx.equal(1 / csc(pi*1/4), 0.707106781186548);
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approx.equal(1 / csc(pi*1/8), 0.382683432365090);
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approx.equal(1 / csc(pi*2/4), 1);
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approx.equal(1 / csc(pi*3/4), 0.707106781186548);
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approx.equal(1 / csc(pi*4/4), 0);
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approx.equal(1 / csc(pi*5/4), -0.707106781186548);
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approx.equal(1 / csc(pi*6/4), -1);
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approx.equal(1 / csc(pi*7/4), -0.707106781186548);
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approx.equal(1 / csc(pi*8/4), 0);
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approx.equal(1 / csc(pi/4), math.sqrt(2)/2);
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});
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it('should return the cosecant of a bignumber', function() {
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var Big = bigmath.bignumber;
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var bigPi = bigmath.pi;
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var sqrt2 = bigmath.SQRT2.toString();
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assert.deepEqual(bigmath.csc(Big(0)), Big(Infinity));
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assert.deepEqual(bigmath.csc(bigPi.div(8)).toString(), '2.6131259297527530557');
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assert.deepEqual(bigmath.csc(bigPi.div(4)).toString(), sqrt2);
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assert.deepEqual(bigmath.csc(bigPi.div(2)).toString(), '1');
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assert.ok(!bigmath.csc(bigPi).isFinite());
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assert.deepEqual(bigmath.csc(bigPi.times(3).div(2)).toString(), '-1');
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assert.ok(!bigmath.csc(bigPi.times(2)).isFinite());
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assert.ok(!bigmath.csc(bigmath.tau).isFinite());
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/* Pass in more digits of pi. */
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bigPi = biggermath.pi;
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assert.deepEqual(bigmath.csc(bigPi.times(3).div(4)).toString(), sqrt2);
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assert.deepEqual(bigmath.csc(bigPi.times(5).div(4)).toString(), '-'+sqrt2);
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assert.deepEqual(bigmath.csc(bigPi.times(7).div(4)).toString(), '-'+sqrt2);
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});
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it('should return the cosecant of a complex number', function() {
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var re = 0.0904732097532074;
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var im = 0.0412009862885741;
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approx.deepEqual(csc(complex('2+3i')), complex(re, im));
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approx.deepEqual(csc(complex('2-3i')), complex(re, -im));
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approx.deepEqual(csc(complex('-2+3i')), complex(-re, im));
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approx.deepEqual(csc(complex('-2-3i')), complex(-re, -im));
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approx.deepEqual(csc(complex('i')), complex(0, -0.850918128239322));
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approx.deepEqual(csc(complex('1')), complex(1.18839510577812, 0));
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approx.deepEqual(csc(complex('1+i')), complex(0.621518017170428, -0.303931001628426));
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});
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it('should return the cosecant of an angle', function() {
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approx.equal(csc(unit('45deg')), 1.41421356237310);
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approx.equal(csc(unit('-45deg')), -1.41421356237310);
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assert(csc(unit(math.bignumber(45), 'deg')).isBigNumber);
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approx.equal(csc(unit(math.bignumber(45), 'deg')).toNumber(), 1.41421356237310);
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approx.deepEqual(csc(unit(complex('1+i'), 'rad')), complex(0.621518017170428, -0.303931001628426));
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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 () {csc(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 () {csc('string')});
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});
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var csc123 = [1.18839510577812, 1.09975017029462, 7.08616739573719];
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it('should return the cosecant of each element of an array', function() {
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approx.deepEqual(csc([1,2,3]), csc123);
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});
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it('should return the cosecant of each element of a matrix', function() {
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approx.deepEqual(csc(matrix([1,2,3])), matrix(csc123));
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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 () {csc()}, /TypeError: Too few arguments/);
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assert.throws(function () {csc(1, 2)}, /TypeError: Too many arguments/);
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});
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it('should LaTeX csc', function () {
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var expression = math.parse('csc(1)');
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assert.equal(expression.toTex(), '\\csc\\left(1\\right)');
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});
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});
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