mirror of
https://github.com/josdejong/mathjs.git
synced 2025-12-08 19:46:04 +00:00
94 lines
3.7 KiB
JavaScript
94 lines
3.7 KiB
JavaScript
import assert from 'assert'
|
|
import math from '../../../../src/bundleAny'
|
|
import approx from '../../../../tools/approx'
|
|
const pi = math.pi
|
|
const complex = math.complex
|
|
const matrix = math.matrix
|
|
const unit = math.unit
|
|
const csc = math.csc
|
|
const bigmath = math.create({ number: 'BigNumber', precision: 20 })
|
|
|
|
describe('csc', function () {
|
|
it('should return the cosecant of a boolean', function () {
|
|
approx.equal(csc(true), 1.18839510577812)
|
|
approx.equal(csc(false), Infinity)
|
|
})
|
|
|
|
it('should return the cosecant of a number', function () {
|
|
approx.equal(1 / csc(0), 0)
|
|
approx.equal(1 / csc(pi * 1 / 4), 0.707106781186548)
|
|
approx.equal(1 / csc(pi * 1 / 8), 0.382683432365090)
|
|
approx.equal(1 / csc(pi * 2 / 4), 1)
|
|
approx.equal(1 / csc(pi * 3 / 4), 0.707106781186548)
|
|
approx.equal(1 / csc(pi * 4 / 4), 0)
|
|
approx.equal(1 / csc(pi * 5 / 4), -0.707106781186548)
|
|
approx.equal(1 / csc(pi * 6 / 4), -1)
|
|
approx.equal(1 / csc(pi * 7 / 4), -0.707106781186548)
|
|
approx.equal(1 / csc(pi * 8 / 4), 0)
|
|
approx.equal(1 / csc(pi / 4), math.sqrt(2) / 2)
|
|
})
|
|
|
|
it('should return the cosecant of a bignumber', function () {
|
|
const Big = bigmath.bignumber
|
|
const bigPi = bigmath.pi
|
|
const sqrt2 = bigmath.SQRT2.toString()
|
|
|
|
assert.deepStrictEqual(bigmath.csc(Big(0)).toString(), 'Infinity')
|
|
assert.deepStrictEqual(bigmath.csc(bigPi.div(8)).toString(), '2.6131259297527530557')
|
|
assert.deepStrictEqual(bigmath.csc(bigPi.div(4)).toString(), sqrt2)
|
|
assert.deepStrictEqual(bigmath.csc(bigPi.div(2)).toString(), '1')
|
|
assert.deepStrictEqual(bigmath.csc(bigPi), Big('-26769019461318409709')) // large number (about infinity)
|
|
assert.deepStrictEqual(bigmath.csc(bigPi.times(3).div(2)).toString(), '-1')
|
|
})
|
|
|
|
it('should return the cosecant of a complex number', function () {
|
|
const re = 0.0904732097532074
|
|
const im = 0.0412009862885741
|
|
approx.deepEqual(csc(complex('2+3i')), complex(re, im))
|
|
approx.deepEqual(csc(complex('2-3i')), complex(re, -im))
|
|
approx.deepEqual(csc(complex('-2+3i')), complex(-re, im))
|
|
approx.deepEqual(csc(complex('-2-3i')), complex(-re, -im))
|
|
approx.deepEqual(csc(complex('i')), complex(0, -0.850918128239322))
|
|
approx.deepEqual(csc(complex('1')), complex(1.18839510577812, 0))
|
|
approx.deepEqual(csc(complex('1+i')), complex(0.621518017170428, -0.303931001628426))
|
|
})
|
|
|
|
it('should return the cosecant of an angle', function () {
|
|
approx.equal(csc(unit('45deg')), 1.41421356237310)
|
|
approx.equal(csc(unit('-45deg')), -1.41421356237310)
|
|
|
|
assert(math.isBigNumber(csc(unit(math.bignumber(45), 'deg'))))
|
|
approx.equal(csc(unit(math.bignumber(45), 'deg')).toNumber(), 1.41421356237310)
|
|
|
|
approx.deepEqual(csc(unit(complex('1+i'), 'rad')), complex(0.621518017170428, -0.303931001628426))
|
|
})
|
|
|
|
it('should throw an error if called with an invalid unit', function () {
|
|
assert.throws(function () { csc(unit('5 celsius')) })
|
|
})
|
|
|
|
it('should throw an error if called with a string', function () {
|
|
assert.throws(function () { csc('string') })
|
|
})
|
|
|
|
const csc123 = [1.18839510577812, 1.09975017029462, 7.08616739573719]
|
|
|
|
it('should return the cosecant of each element of an array', function () {
|
|
approx.deepEqual(csc([1, 2, 3]), csc123)
|
|
})
|
|
|
|
it('should return the cosecant of each element of a matrix', function () {
|
|
approx.deepEqual(csc(matrix([1, 2, 3])), matrix(csc123))
|
|
})
|
|
|
|
it('should throw an error in case of invalid number of arguments', function () {
|
|
assert.throws(function () { csc() }, /TypeError: Too few arguments/)
|
|
assert.throws(function () { csc(1, 2) }, /TypeError: Too many arguments/)
|
|
})
|
|
|
|
it('should LaTeX csc', function () {
|
|
const expression = math.parse('csc(1)')
|
|
assert.strictEqual(expression.toTex(), '\\csc\\left(1\\right)')
|
|
})
|
|
})
|