mirror of
https://github.com/josdejong/mathjs.git
synced 2025-12-08 19:46:04 +00:00
121 lines
4.6 KiB
JavaScript
121 lines
4.6 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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atanh = math.atanh,
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tanh = math.tanh,
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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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bigmath = math.create({number: 'bignumber', precision: 20}),
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biggermath = math.create({precision: 21}),
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atanhBig = bigmath.atanh,
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Big = bigmath.bignumber;
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describe('atanh', function() {
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it('should return the hyperbolic arctan of a boolean', function () {
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assert.equal(atanh(true), Infinity);
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assert.equal(atanh(false), 0);
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});
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it('should return the hyperbolic arctan of null', function () {
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assert.equal(atanh(null), 0);
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});
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it('should return the hyperbolic arctan of a number', function() {
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approx.deepEqual(atanh(-2), complex(-0.54930614433405485, pi / 2));
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approx.deepEqual(atanh(2), complex(0.54930614433405485, -pi / 2));
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//assert.ok(isNaN(atanh(-2)));
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//assert.ok(isNaN(atanh(2)));
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approx.equal(atanh(-1), -Infinity);
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approx.equal(atanh(-0.5), -0.54930614433405484569762261846);
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approx.equal(atanh(0), 0);
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approx.equal(atanh(0.5), 0.54930614433405484569762261846);
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approx.equal(atanh(1), Infinity);
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});
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it('should return the hyperbolic arctan of a bignumber', function() {
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var arg1 = Big(-1);
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var arg2 = Big(-0.5);
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assert.deepEqual(atanhBig(arg1), Big(-Infinity));
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assert.deepEqual(atanhBig(arg2), Big('-0.5493061443340548457'));
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assert.deepEqual(atanhBig(Big(0)), Big(0));
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assert.deepEqual(atanhBig(Big(0.5)), Big('0.5493061443340548457'));
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assert.deepEqual(atanhBig(Big(1)), Big(Infinity));
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//Make sure arg was not changed
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assert.deepEqual(arg1, Big(-1));
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assert.deepEqual(arg2, Big(-0.5));
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});
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it('should be the inverse function of hyperbolic tan', function() {
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approx.equal(atanh(tanh(-1)), -1);
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approx.equal(atanh(tanh(0)), 0);
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approx.equal(atanh(tanh(0.1)), 0.1);
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approx.equal(atanh(tanh(0.5)), 0.5);
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});
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it('should be the inverse function of bignumber tanh', function() {
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assert.deepEqual(atanhBig(bigmath.tanh(Big(-0.5))), Big(-0.5));
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assert.deepEqual(atanhBig(bigmath.tanh(Big(0))), Big(0));
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assert.deepEqual(atanhBig(bigmath.tanh(Big(0.5))), Big(0.5));
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/* Pass in more digits to pi. */
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var arg = Big(-1);
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assert.deepEqual(atanhBig(biggermath.tanh(arg)), Big(-1));
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assert.deepEqual(atanhBig(biggermath.tanh(Big(0.1))), Big(0.1));
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assert.deepEqual(arg, Big(-1));
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});
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it('should throw an error if the bignumber result is complex', function() {
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assert.throws(function () {
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atanh(Big(1.1));
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}, /atanh() only has non-complex values for |x| <= 1./);
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assert.throws(function () {
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atanh(Big(-1.1));
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}, /atanh() only has non-complex values for |x| <= 1./);
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});
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it('should return the arctanh of a complex number', function() {
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approx.deepEqual(atanh(complex('2+3i')), complex(0.1469466662255, 1.33897252229449));
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approx.deepEqual(atanh(complex('2-3i')), complex(0.1469466662255, -1.33897252229449));
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approx.deepEqual(atanh(complex('-2+3i')), complex(-0.1469466662255, 1.33897252229449));
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approx.deepEqual(atanh(complex('-2-3i')), complex(-0.1469466662255, -1.33897252229449));
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approx.deepEqual(atanh(complex('1+i')), complex(0.402359478108525, 1.01722196789785137));
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approx.deepEqual(atanh(complex('i')), complex(0, pi / 4));
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approx.deepEqual(atanh(complex('2')), complex(0.54930614433405485, -pi / 2));
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assert.deepEqual(atanh(complex('1')), complex(Infinity, 0));
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assert.deepEqual(atanh(complex('0')), complex(0, 0));
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approx.deepEqual(atanh(complex('-2')), complex(-0.54930614433405485, pi / 2));
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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 () {atanh(unit('45deg'))});
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assert.throws(function () {atanh(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 () {atanh('string')});
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});
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it('should calculate the arctan element-wise for arrays and matrices', function() {
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var atanh101 = [-Infinity, 0, Infinity];
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assert.deepEqual(atanh([-1,0,1]), atanh101);
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assert.deepEqual(atanh(matrix([-1,0,1])), matrix(atanh101));
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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 () {atanh()}, error.ArgumentsError);
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assert.throws(function () {atanh(1, 2)}, error.ArgumentsError);
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});
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it('should LaTeX atanh', function () {
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var expression = math.parse('atanh(0.5)');
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assert.equal(expression.toTex(), '\\tanh^{-1}\\left(0.5\\right)');
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});
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});
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