85 lines
3.2 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 csch = math.csch
const bigmath = math.create({ precision: 20 })
const biggermath = math.create({ number: 'BigNumber', precision: 22 })
describe('csch', function () {
it('should return the csch of a boolean', function () {
approx.equal(csch(true), 0.85091812823932)
approx.equal(csch(false), Number.POSITIVE_INFINITY)
})
it('should return the csch of a number', function () {
approx.equal(csch(0), Number.POSITIVE_INFINITY)
approx.equal(csch(pi), 0.086589537530047)
approx.equal(csch(1), 0.85091812823932)
approx.equal(csch(2), 0.27572056477178)
approx.equal(csch(3), 0.099821569668823)
approx.equal(csch(1e-22), Number.POSITIVE_INFINITY)
approx.equal(csch(-1e-22), Number.NEGATIVE_INFINITY)
})
it('should return the csch of a bignumber', function () {
const cschBig = bigmath.csch
const Big = bigmath.bignumber
assert.deepStrictEqual(cschBig(Big(0)).toString(), 'Infinity')
assert.deepStrictEqual(cschBig(Big(1)), Big('0.85091812823932154512'))
assert.deepStrictEqual(cschBig(Big(2)), Big('0.27572056477178320776'))
assert.deepStrictEqual(cschBig(Big(3)), Big('0.099821569668822732851'))
/* Pass in extra digits to pi. */
assert.deepStrictEqual(cschBig(biggermath.pi).toString(), '0.086589537530046941828')
})
it('should return the csch of a complex number', function () {
approx.deepEqual(csch(complex('1')), complex(0.85091812823932, 0))
approx.deepEqual(csch(complex('i')), complex(0, -1.1883951057781))
approx.deepEqual(csch(complex('2 + i')), complex(0.14136302161241, -0.22837506559969))
})
it('should return the csch of an angle', function () {
approx.equal(csch(unit('90deg')), 0.4345372080947)
approx.equal(csch(unit('-45deg')), -1.1511838709208)
assert(math.isBigNumber(csch(unit(math.bignumber(90), 'deg'))))
approx.equal(csch(unit(math.bignumber(90), 'deg')).toNumber(), 0.4345372080947)
approx.deepEqual(csch(unit(complex('2 + i'), 'rad')), complex(0.14136302161241, -0.22837506559969))
})
it('should throw an error if called with an invalid unit', function () {
assert.throws(function () { csch(unit('5 celsius')) })
})
it('should throw an error if called with a string', function () {
assert.throws(function () { csch('string') })
})
const csch123 = [0.85091812823932, 0.27572056477178, 0.099821569668823]
it('should return the csch of each element of an array', function () {
approx.deepEqual(csch([1, 2, 3]), csch123)
})
it('should return the csch of each element of a matrix', function () {
approx.deepEqual(csch(matrix([1, 2, 3])), matrix(csch123))
})
it('should throw an error in case of invalid number of arguments', function () {
assert.throws(function () { csch() }, /TypeError: Too few arguments/)
assert.throws(function () { csch(1, 2) }, /TypeError: Too many arguments/)
})
it('should LaTeX csch', function () {
const expression = math.parse('csch(1)')
assert.strictEqual(expression.toTex(), '\\mathrm{csch}\\left(1\\right)')
})
})