mirror of
https://github.com/josdejong/mathjs.git
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103 lines
4.2 KiB
JavaScript
103 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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asinh = math.asinh,
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sinh = math.sinh,
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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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asinhBig = bigmath.asinh,
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Big = bigmath.bignumber;
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describe('asinh', function() {
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it('should return the hyperbolic arcsin of a boolean', function () {
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approx.equal(asinh(true), 0.8813735870195430);
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assert.equal(asinh(false), 0);
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});
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it('should return the hyperbolic arcsin of null', function () {
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assert.equal(asinh(null), 0);
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});
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it('should return the hyperbolic arcsin of a number', function() {
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approx.equal(asinh(-2), -1.44363547517881034249327674027311);
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approx.equal(asinh(-1), -0.88137358701954302523260932497979);
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approx.equal(asinh(0), 0);
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approx.equal(asinh(1), 0.88137358701954302523260932497979);
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approx.equal(asinh(2), 1.44363547517881034249327674027311);
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approx.equal(asinh(pi), 1.8622957433108482198883613251826);
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});
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it('should return the hyperbolic arcsin of a bignumber', function() {
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var arg = Big(-2);
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assert.deepEqual(asinhBig(arg), Big('-1.4436354751788103425'));
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assert.deepEqual(asinhBig(Big(-1)), Big('-0.88137358701954302523'));
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assert.deepEqual(asinhBig(Big(0)), Big(0));
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assert.deepEqual(asinhBig(Big(1)), Big('0.88137358701954302523'));
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assert.deepEqual(asinhBig(Big(2)), Big('1.4436354751788103425'));
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assert.deepEqual(asinhBig(bigmath.pi).toString(), '1.8622957433108482199');
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//Make sure arg was not changed
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assert.deepEqual(arg, Big(-2));
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});
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it('should be the inverse function of hyperbolic sin', function() {
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approx.equal(asinh(sinh(-1)), -1);
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approx.equal(asinh(sinh(0)), 0);
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approx.equal(asinh(sinh(0.1)), 0.1);
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approx.equal(asinh(sinh(0.5)), 0.5);
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approx.equal(asinh(sinh(2)), 2);
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});
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it('should be the inverse function of bignumber sinh', function() {
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assert.deepEqual(asinhBig(bigmath.sinh(Big(-1))), Big(-1));
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assert.deepEqual(asinhBig(bigmath.sinh(Big(0))), Big(0));
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assert.deepEqual(asinhBig(bigmath.sinh(Big(0.5))), Big(0.5));
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assert.deepEqual(asinhBig(bigmath.sinh(Big(2))), Big(2));
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/* Pass in more digits to pi. */
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assert.deepEqual(asinhBig(biggermath.sinh(Big(0.1))), Big('0.099999999999999999996'));
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});
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it('should return the arcsinh of a complex number', function() {
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approx.deepEqual(asinh(complex('2+3i')), complex(1.9686379257931, 0.9646585044076028));
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approx.deepEqual(asinh(complex('2-3i')), complex(1.9686379257931, -0.9646585044076028));
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approx.deepEqual(asinh(complex('-2+3i')), complex(-1.9686379257931, 0.9646585044076028));
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approx.deepEqual(asinh(complex('-2-3i')), complex(-1.9686379257931, -0.9646585044076028));
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approx.deepEqual(asinh(complex('1+i')), complex(1.0612750619050357, 0.6662394324925153));
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approx.deepEqual(asinh(complex('i')), complex(0, pi / 2));
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approx.deepEqual(asinh(complex('1')), complex(0.881373587019543025, 0));
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assert.deepEqual(asinh(complex('0')), complex(0, 0));
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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 () {asinh(unit('45deg'))});
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assert.throws(function () {asinh(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 () {asinh('string')});
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});
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it('should calculate the arcsin element-wise for arrays and matrices', function() {
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var asinh123 = [0.881373587019543025, 1.4436354751788103, 1.8184464592320668];
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approx.deepEqual(asinh([1,2,3]), asinh123);
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approx.deepEqual(asinh(matrix([1,2,3])), matrix(asinh123));
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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 () {asinh()}, /TypeError: Too few arguments/);
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assert.throws(function () {asinh(1, 2)}, /TypeError: Too many arguments/);
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});
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it('should LaTeX asinh', function () {
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var expression = math.parse('asinh(2)');
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assert.equal(expression.toTex(), '\\sinh^{-1}\\left(2\\right)');
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});
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});
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