greenkeeper[bot] c5971b371a Update standard to the latest version 🚀 (#1226)
* chore(package): update standard to version 12.0.0

* update to new lint version with --fix

I believe this mainly adds whitespace to `{}`'s.

* Replace assert.equal with assert.strictEqual

This breaks a lot of tests which I will endevour to fix in the next
commits.

* Fix most errors due to assert.strictEquals

Some instances of `strictEquals` are replaced by `deepEquals`.
`toString` has been used to make some string comparisions explicit.
Tests will still fail untill #1236 and #1237 are fixed.

* Fix assertion erros due to -0

With node 10, assert.strictEqual no longer considers `0 === -0`.
I missed these first time round as I was using node 8.

* Put toString correct side of bracket

I was converting the constructor to a string rather
than the result of the computation. Oops.

* Fixed #1236: quantileSeq has inconsistant return

* Update package-lock

* Fixed #1237: norm sometimes returning a complex number instead of number

* Fix cli tests

* More changes for standardjs, and fixes in unit tests
2018-09-08 16:33:58 +02:00

110 lines
4.4 KiB
JavaScript

const assert = require('assert')
const math = require('../../../src/main')
const approx = require('../../../tools/approx')
const pi = math.pi
const complex = math.complex
const matrix = math.matrix
const unit = math.unit
const sec = math.sec
const bigmath = math.create({ number: 'BigNumber', precision: 20 })
const biggermath = math.create({ number: 'BigNumber', precision: 21 })
describe('sec', function () {
it('should return the secant of a boolean', function () {
approx.equal(sec(true), 1.85081571768093)
assert.strictEqual(sec(false), 1)
})
it('should return the secant of a number', function () {
approx.equal(1 / sec(0), 1)
approx.equal(1 / sec(pi * 1 / 4), 0.707106781186548)
approx.equal(1 / sec(pi * 1 / 8), 0.923879532511287)
approx.equal(1 / sec(pi * 2 / 4), 0)
approx.equal(1 / sec(pi * 3 / 4), -0.707106781186548)
approx.equal(1 / sec(pi * 4 / 4), -1)
approx.equal(1 / sec(pi * 5 / 4), -0.707106781186548)
approx.equal(1 / sec(pi * 6 / 4), 0)
approx.equal(1 / sec(pi * 7 / 4), 0.707106781186548)
approx.equal(1 / sec(pi * 8 / 4), 1)
approx.equal(1 / sec(pi / 4), math.sqrt(2) / 2)
approx.equal(math.pow(sec(pi / 4), 2), 2)
approx.equal(sec(0), 1)
approx.equal(sec(pi), -1)
approx.equal(sec(-pi), -1)
approx.equal(math.pow(sec(-pi / 4), 2), 2)
approx.equal(sec(2 * pi), 1)
approx.equal(sec(-2 * pi), 1)
})
it('should return the secant of a bignumber', function () {
const Big = bigmath.bignumber
let bigPi = bigmath.pi
const sqrt2 = bigmath.SQRT2.toString()
assert.deepStrictEqual(bigmath.sec(Big(0)), Big(1))
assert.deepStrictEqual(bigmath.sec(bigPi.div(8)).toString(), '1.0823922002923939688')
assert.deepStrictEqual(bigmath.sec(bigPi.div(4)).toString(), sqrt2)
assert.deepStrictEqual(bigmath.sec(bigPi).toString(), '-1')
assert.deepStrictEqual(bigmath.sec(bigPi.times(2)).toString(), '1')
assert.deepStrictEqual(bigmath.sec(bigmath.tau).toString(), '1')
assert.deepStrictEqual(bigmath.sec(bigmath.tau.times(-2)).toString(), '1')
/* Pass in one more digit of pi. */
bigPi = biggermath.pi
assert.deepStrictEqual(bigmath.sec(bigPi.div(2)), Big('756606132568153667460')) // (large number, about infinity)
assert.deepStrictEqual(bigmath.sec(bigPi.times(3).div(4)).toString(), '-' + sqrt2)
assert.deepStrictEqual(bigmath.sec(bigPi.times(5).div(4)).toString(), '-' + sqrt2)
})
it('should return the secant of a complex number', function () {
const re = 0.0416749644111443
const im = 0.0906111371962376
approx.deepEqual(sec(complex('2+3i')), complex(-re, im))
approx.deepEqual(sec(complex('2-3i')), complex(-re, -im))
approx.deepEqual(sec(complex('-2+3i')), complex(-re, -im))
approx.deepEqual(sec(complex('-2-3i')), complex(-re, im))
approx.deepEqual(sec(complex('i')), complex(0.648054273663885, 0))
approx.deepEqual(sec(complex('1')), complex(1.85081571768093, 0))
approx.deepEqual(sec(complex('1+i')), complex(0.498337030555187, 0.591083841721045))
})
it('should return the secant of an angle', function () {
approx.equal(sec(unit('45deg')), 1.41421356237310)
approx.equal(sec(unit('-45deg')), 1.41421356237310)
assert(math.type.isBigNumber(sec(unit(math.bignumber(45), 'deg'))))
approx.equal(sec(unit(math.bignumber(45), 'deg')).toNumber(), 1.41421356237310)
approx.deepEqual(sec(unit(complex('1+i'), 'rad')), complex(0.498337030555187, 0.591083841721045))
})
it('should throw an error if called with an invalid unit', function () {
assert.throws(function () { sec(unit('5 celsius')) })
})
it('should throw an error if called with a string', function () {
assert.throws(function () { sec('string') })
})
const sec123 = [1.85081571768093, -2.40299796172238, -1.01010866590799]
it('should return the secant of each element of an array', function () {
approx.deepEqual(sec([1, 2, 3]), sec123)
})
it('should return the secant of each element of a matrix', function () {
approx.deepEqual(sec(matrix([1, 2, 3])), matrix(sec123))
})
it('should throw an error in case of invalid number of arguments', function () {
assert.throws(function () { sec() }, /TypeError: Too few arguments/)
assert.throws(function () { sec(1, 2) }, /TypeError: Too many arguments/)
})
it('should LaTeX sec', function () {
const expression = math.parse('sec(1)')
assert.strictEqual(expression.toTex(), '\\sec\\left(1\\right)')
})
})