mirror of
https://github.com/josdejong/mathjs.git
synced 2025-12-08 19:46:04 +00:00
88 lines
3.2 KiB
JavaScript
88 lines
3.2 KiB
JavaScript
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,
|
|
sech = math.sech,
|
|
bigmath = math.create({precision: 20}),
|
|
biggermath = math.create({number: 'BigNumber', precision: 21});
|
|
|
|
describe('sech', function() {
|
|
it('should return the sech of a boolean', function () {
|
|
approx.equal(sech(true), 0.64805427366389);
|
|
approx.equal(sech(false), 1);
|
|
});
|
|
|
|
it('should return the sech of null', function () {
|
|
approx.equal(sech(null), 1);
|
|
});
|
|
|
|
it('should return the sech of a number', function() {
|
|
approx.equal(sech(0), 1);
|
|
approx.equal(sech(pi), 0.086266738334054);
|
|
approx.equal(sech(1), 0.64805427366389);
|
|
approx.equal(sech(2), 0.26580222883408);
|
|
approx.equal(sech(3), 0.099327927419433);
|
|
});
|
|
|
|
it('should return the sech of a bignumber', function() {
|
|
var sechBig = bigmath.sech;
|
|
var Big = bigmath.bignumber;
|
|
|
|
assert.deepEqual(sechBig(Big(0)), Big(1));
|
|
assert.deepEqual(sechBig(Big(1)), Big('0.64805427366388539957'));
|
|
assert.deepEqual(sechBig(Big(2)), Big('0.26580222883407969212'));
|
|
assert.deepEqual(sechBig(Big(3)), Big('0.099327927419433207829'));
|
|
|
|
/* Pass in extra digits to pi. */
|
|
assert.deepEqual(sechBig(biggermath.pi), Big('0.086266738334054414697'));
|
|
});
|
|
|
|
it('should return the sech of a complex number', function() {
|
|
approx.deepEqual(sech(complex('1')), complex(0.64805427366389, 0));
|
|
approx.deepEqual(sech(complex('i')), complex(1.8508157176809, 0));
|
|
approx.deepEqual(sech(complex('2 + i')), complex(0.15117629826558, -0.22697367539372));
|
|
});
|
|
|
|
it('should return the sech of an angle', function() {
|
|
approx.equal(sech(unit('90deg')), 0.39853681533839);
|
|
approx.equal(sech(unit('-45deg')), 0.75493970871413);
|
|
|
|
assert(math.type.isBigNumber(sech(unit(math.bignumber(90), 'deg'))));
|
|
approx.equal(sech(unit(math.bignumber(90), 'deg')).toNumber(), 0.39853681533839);
|
|
|
|
approx.deepEqual(sech(unit(complex('2 + i'), 'rad')), complex(0.15117629826558, -0.22697367539372));
|
|
});
|
|
|
|
it('should throw an error if called with an invalid unit', function() {
|
|
assert.throws(function () {sech(unit('5 celsius'))});
|
|
});
|
|
|
|
it('should throw an error if called with a string', function() {
|
|
assert.throws(function () {sech('string')});
|
|
});
|
|
|
|
var sech123 = [0.64805427366389, 0.26580222883408, 0.099327927419433];
|
|
|
|
it('should return the sech of each element of an array', function() {
|
|
approx.deepEqual(sech([1,2,3]), sech123);
|
|
});
|
|
|
|
it('should return the sech of each element of a matrix', function() {
|
|
approx.deepEqual(sech(matrix([1,2,3])), matrix(sech123));
|
|
});
|
|
|
|
it('should throw an error in case of invalid number of arguments', function() {
|
|
assert.throws(function () {sech()}, /TypeError: Too few arguments/);
|
|
assert.throws(function () {sech(1, 2)}, /TypeError: Too many arguments/);
|
|
});
|
|
|
|
it('should LaTeX sech', function () {
|
|
var expression = math.parse('sech(1)');
|
|
assert.equal(expression.toTex(), '\\mathrm{sech}\\left(1\\right)');
|
|
});
|
|
});
|