var assert = require('assert'), error = require('../../../lib/error/index'), math = require('../../../index'), approx = require('../../../tools/approx'), pi = math.pi, complex = math.complex, matrix = math.matrix, unit = math.unit, tanh = math.tanh, bigmath = math.create({number: 'BigNumber', precision: 20}); describe('tanh', function() { it('should return the tanh of a boolean', function () { approx.equal(tanh(true), 0.76159415595576); approx.equal(tanh(false), 0); }); it('should return the tanh of null', function () { approx.equal(tanh(null), 0); }); it('should return the tanh of a number', function() { approx.equal(tanh(0), 0); approx.equal(tanh(pi), 0.99627207622075); approx.equal(tanh(1), 0.76159415595576); approx.equal(tanh(2), 0.96402758007582); approx.equal(tanh(3), 0.99505475368673); }); it('should return the tanh of a bignumber', function() { var tanhBig = bigmath.tanh; var Big = bigmath.bignumber; var arg1 = Big(-Infinity); var arg2 = Big(-3); var arg10 = Big(Infinity); assert.deepEqual(tanhBig(arg1), Big(-1)); assert.deepEqual(tanhBig(arg2), Big('-0.99505475368673045133')); assert.deepEqual(tanhBig(Big(-2)), Big('-0.96402758007581688395')); assert.deepEqual(tanhBig(Big(-1)), Big('-0.76159415595576488812')); assert.deepEqual(tanhBig(Big(0)), Big(0)); assert.deepEqual(tanhBig(Big(1)), Big('0.76159415595576488812')); assert.deepEqual(tanhBig(Big(2)), Big('0.96402758007581688395')); assert.deepEqual(tanhBig(Big(3)), Big('0.99505475368673045133')); assert.deepEqual(tanhBig(bigmath.pi).toString(), '0.99627207622074994426'); assert.deepEqual(tanhBig(arg10), Big(1)); // Make sure args were not changed assert.deepEqual(arg1.toString(), '-Infinity'); assert.deepEqual(arg2, Big(-3)); assert.deepEqual(arg10.toString(), 'Infinity'); }); it('should return the tanh of a complex number', function() { approx.deepEqual(tanh(complex('1')), complex(0.76159415595576, 0)); approx.deepEqual(tanh(complex('i')), complex(0, 1.5574077246549)); approx.deepEqual(tanh(complex('2 + i')), complex(1.0147936161466, 0.033812826079897)); }); it('should return the tanh of an angle', function() { approx.equal(tanh(unit('90deg')), 0.91715233566727); approx.equal(tanh(unit('-45deg')), -0.65579420263267); assert(math.type.isBigNumber(tanh(unit(math.bignumber(90), 'deg')))); approx.equal(tanh(unit(math.bignumber(90), 'deg')).toNumber(), 0.91715233566727); approx.deepEqual(tanh(unit(complex('2 + i'), 'rad')), complex(1.0147936161466, 0.033812826079897)); }); it('should throw an error if called with an invalid unit', function() { assert.throws(function () {tanh(unit('5 celsius'))}); }); it('should throw an error if called with a string', function() { assert.throws(function () {tanh('string')}); }); var tanh123 = [0.76159415595576, 0.96402758007582, 0.99505475368673]; it('should return the tanh of each element of an array', function() { approx.deepEqual(tanh([1,2,3]), tanh123); }); it('should return the tanh of each element of a matrix', function() { approx.deepEqual(tanh(matrix([1,2,3])), matrix(tanh123)); }); it('should throw an error in case of invalid number of arguments', function() { assert.throws(function () {tanh()}, /TypeError: Too few arguments/); assert.throws(function () {tanh(1, 2)}, /TypeError: Too many arguments/); }); it('should LaTeX tanh', function () { var expression = math.parse('tanh(1)'); assert.equal(expression.toTex(), '\\tanh\\left(1\\right)'); }); });