mirror of
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107 lines
4.1 KiB
JavaScript
107 lines
4.1 KiB
JavaScript
// test atan2
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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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divide = math.divide,
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atan2 = math.atan2,
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bigmath = math.create({precision: 20}),
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Big = bigmath.bignumber,
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atan2Big = bigmath.atan2;
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describe('atan2', function() {
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it('should calculate atan2 correctly', function() {
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approx.equal(atan2(0, 0) / pi, 0);
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approx.equal(atan2(0, 1) / pi, 0);
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approx.equal(atan2(1, 1) / pi, 0.25);
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approx.equal(atan2(1, 0) / pi, 0.5);
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approx.equal(atan2(1, -1) / pi, 0.75);
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approx.equal(atan2(0, -1) / pi, 1);
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approx.equal(atan2(-1, -1) / pi, -0.75);
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approx.equal(atan2(-1, 0) / pi, -0.5);
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approx.equal(atan2(-1, 1) / pi, -0.25);
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});
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it('should calculate atan2 for booleans', function() {
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assert.equal(atan2(true, true), 0.25 * pi);
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assert.equal(atan2(true, false), 0.5 * pi);
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assert.equal(atan2(false, true), 0);
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assert.equal(atan2(false, false), 0);
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});
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it('should calculate atan2 with mixed numbers and booleans', function() {
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assert.equal(atan2(1, true), 0.25 * pi);
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assert.equal(atan2(1, false), 0.5 * pi);
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assert.equal(atan2(true, 1), 0.25 * pi);
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assert.equal(atan2(false, 1), 0);
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});
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it('should calculate atan2 with mixed numbers and null', function() {
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assert.equal(atan2(1, null), 0.5 * pi);
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assert.equal(atan2(null, 1), 0);
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});
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it('should return the arctan of for bignumbers', function() {
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assert.deepEqual(atan2Big(Big(0), Big(0)), Big(NaN));
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assert.deepEqual(atan2Big(Big(0), Big(1)), Big(0));
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assert.deepEqual(atan2Big(Big(1), Big(1)), Big('0.7853981633974483096'));
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assert.deepEqual(atan2Big(Big(1), Big(0)), Big('1.5707963267948966192'));
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assert.deepEqual(atan2Big(Big(1), Big(-1)), Big('2.3561944901923449288'));
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assert.deepEqual(atan2Big(Big(0), Big(-1)), Big('3.1415926535897932385'));
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assert.deepEqual(atan2Big(Big(-1), Big(-1)), Big('-2.3561944901923449288'));
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assert.deepEqual(atan2Big(Big(-1), Big(0)), Big('-1.5707963267948966192'));
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assert.deepEqual(atan2Big(Big(-1), Big(1)), Big('-0.7853981633974483096'));
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});
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it('should return the arctan of for mixed numbers and bignumbers', function() {
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assert.deepEqual(atan2Big(1, Big(1)), Big('0.7853981633974483096'));
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assert.deepEqual(atan2Big(Big(1), 1), Big('0.7853981633974483096'));
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});
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it('should return the arctan of for mixed bignumbers and booleans', function() {
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assert.deepEqual(atan2Big(Big(1), true), Big('0.7853981633974483096'));
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assert.deepEqual(atan2Big(Big(1), false), Big('1.5707963267948966192'));
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assert.deepEqual(atan2Big(true, Big(1)), Big('0.7853981633974483096'));
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assert.deepEqual(atan2Big(false, Big(1)), Big(0));
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});
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it('should calculate atan2 with mixed bignumbers and null', function() {
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assert.deepEqual(atan2Big(Big(1), null), Big('1.5707963267948966192'));
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assert.deepEqual(atan2Big(null, Big(1)), Big(0));
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});
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it('should throw an error if called with a complex', function() {
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assert.throws(function () {atan2(complex('2+3i'), complex('1-2i')); });
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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 () {atan2('string', 1)});
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});
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it('should throw an error if called with a unit', function() {
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assert.throws(function () {atan2(unit('5cm'), 1)});
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});
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it('should calculate the atan2 element-wise for arrays and matrices', function() {
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// array, matrix, range
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approx.deepEqual(divide(atan2([1,0,-1], [1,0,-1]), pi), [0.25, 0, -0.75]);
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approx.deepEqual(divide(atan2(
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matrix([1,0,-1]),
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matrix([1,0,-1])), pi),
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matrix([0.25, 0, -0.75]));
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approx.equal(atan2(0, 2) / pi, 0);
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approx.equal(atan2(0, -2) / pi, 1);
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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 () {atan2(1)}, error.ArgumentsError);
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assert.throws(function () {atan2(1, 2, 3)}, error.ArgumentsError);
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});
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});
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