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Conflicts: HISTORY.md bower.json component.json dist/math.js dist/math.map dist/math.min.js lib/function/arithmetic/abs.js lib/function/probability/gamma.js lib/version.js package.json
113 lines
4.1 KiB
JavaScript
113 lines
4.1 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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cot = math.cot,
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bigmath = math.create({number: 'bignumber', precision: 20}),
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biggermath = math.create({number: 'bignumber', precision: 22});
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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 null', function () {
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approx.equal(cot(null), 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*1/8), 0.414213562373095);
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approx.equal(1 / cot(pi*1/4), 1);
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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', 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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var arg1 = Big(0);
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var result1 = bigmath.cot(arg1);
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assert.ok(!result1.isFinite());
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assert.equal(result1.constructor.precision, 20);
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assert.deepEqual(arg1, Big(0));
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var result2 = bigmath.cot(bigPi.div(8));
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assert.deepEqual(result2.toString(), '2.4142135623730950488');
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assert.equal(result2.constructor.precision, 20);
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assert.equal(bigPi.constructor.precision, 20);
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assert.ok(bigmath.cot(bigPi.div(2)).isZero());
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assert.ok(!bigmath.cot(bigPi).isFinite());
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assert.ok(bigmath.cot(bigPi.times(3).div(2)).isZero());
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assert.ok(!bigmath.cot(bigPi.times(2)).isFinite());
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assert.ok(!bigmath.cot(bigmath.tau).isFinite());
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/* Pass in more digits of pi. */
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var biggerPi = biggermath.pi;
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//console.log(biggerPi.constructor.precision);
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assert.deepEqual(bigmath.cot(biggerPi.div(4)).toString(), '1');
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assert.deepEqual(bigmath.cot(biggerPi.times(3).div(4)).toString(), '-1');
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assert.deepEqual(bigmath.cot(biggerPi.times(5).div(4)).toString(), '1');
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assert.deepEqual(bigmath.cot(biggerPi.times(7).div(4)).toString(), '-1');
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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()}, /TypeError: Too few arguments/);
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assert.throws(function () {cot(1, 2)}, /TypeError: Too many arguments/);
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});
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it('should LaTeX cot', function () {
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var expression = math.parse('cot(1)');
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assert.equal(expression.toTex(), '\\cot\\left(1\\right)');
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});
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});
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