// test expm1
import assert from 'assert'

import approx from '../../../../tools/approx.js'
import math from '../../../../src/defaultInstance.js'
const complex = math.complex
const matrix = math.matrix
const sparse = math.sparse
const unit = math.unit
const expm1 = math.expm1

describe('expm1', function () {
  it('should exponentiate a boolean', function () {
    approx.equal(expm1(true), 1.71828182845905)
    approx.equal(expm1(false), 0)
  })

  it('should exponentiate a number', function () {
    approx.equal(expm1(-3), -0.9502129316321360)
    approx.equal(expm1(-2), -0.8646647167633873)
    approx.equal(expm1(-1), -0.6321205588285577)
    approx.equal(expm1(0), 0)
    approx.equal(expm1(1), 1.71828182845905)
    approx.equal(expm1(2), 6.38905609893065)
    approx.equal(expm1(3), 19.0855369231877)
    approx.equal(expm1(math.log(100)) + 1, 100)

    // function requirements
    assert.ok(isNaN(expm1(NaN)))
    assert.strictEqual(expm1(+0), 0)
    assert.strictEqual(expm1(-0), -0)
    assert.strictEqual(expm1(+Infinity), Infinity)
    assert.strictEqual(expm1(-Infinity), -1)
  })

  it('should exponentiate a bignumber', function () {
    const bigmath = math.create({ precision: 100 })

    assert.deepStrictEqual(bigmath.expm1(bigmath.bignumber(1)), bigmath.bignumber('1.718281828459045235360287471352662497757247093699959574966967627724076630353547594571382178525166427'))
  })

  it('should throw an error if there\'s wrong number of arguments', function () {
    assert.throws(function () { expm1() }, /TypeError: Too few arguments/)
    assert.throws(function () { expm1(1, 2) }, /TypeError: Too many arguments/)
  })

  it('should exponentiate a complex number correctly', function () {
    approx.deepEqual(expm1(math.i), complex('-0.45969769413186 + 0.841470984807897i'))
    approx.deepEqual(expm1(complex(0, -1)), complex('-0.45969769413186 - 0.841470984807897i'))
    approx.deepEqual(expm1(complex(1, 1)), complex('0.46869393991589 + 2.28735528717884i'))
    approx.deepEqual(expm1(complex(1, -1)), complex('0.46869393991589 - 2.28735528717884i'))
    approx.deepEqual(expm1(complex(-1, -1)), complex('-0.80123388965359 - 0.309559875653112i'))
    approx.deepEqual(expm1(complex(-1, 1)), complex('-0.80123388965359 + 0.309559875653112i'))
    approx.deepEqual(expm1(complex(1, 0)), complex('1.71828182845905'))

    // test some logic identities
    const multiply = math.multiply
    const pi = math.pi
    const i = math.i
    approx.deepEqual(expm1(multiply(0.5, multiply(pi, i))), complex(-1, 1))
    approx.deepEqual(expm1(multiply(1, multiply(pi, i))), complex(-2, 0))
    approx.deepEqual(expm1(multiply(1.5, multiply(pi, i))), complex(-1, -1))
    approx.deepEqual(expm1(multiply(2, multiply(pi, i))), complex(0, 0))
    approx.deepEqual(expm1(multiply(-0.5, multiply(pi, i))), complex(-1, -1))
    approx.deepEqual(expm1(multiply(-1, multiply(pi, i))), complex(-2, 0))
    approx.deepEqual(expm1(multiply(-1.5, multiply(pi, i))), complex(-1, 1))
  })

  it('should throw an error on a unit', function () {
    assert.throws(function () { expm1(unit('5cm')) })
  })

  it('should throw an error with a string', function () {
    assert.throws(function () { expm1('text') })
  })

  it('should exponentiate matrices, arrays and ranges correctly', function () {
    // array
    approx.deepEqual(expm1([0, 1, 2, 3]), [0, 1.71828182845905, 6.38905609893065, 19.0855369231877])
    approx.deepEqual(expm1([[0, 1], [2, 3]]), [[0, 1.71828182845905], [6.38905609893065, 19.0855369231877]])
    // dense matrix
    approx.deepEqual(expm1(matrix([0, 1, 2, 3])), matrix([0, 1.71828182845905, 6.38905609893065, 19.0855369231877]))
    approx.deepEqual(expm1(matrix([[0, 1], [2, 3]])), matrix([[0, 1.71828182845905], [6.38905609893065, 19.0855369231877]]))
    approx.deepEqual(expm1(sparse([[0, 1], [2, 3]])), sparse([[0, 1.71828182845905], [6.38905609893065, 19.0855369231877]]))
  })

  it('should LaTeX expm1', function () {
    const expression = math.parse('expm1(0)')
    assert.strictEqual(expression.toTex(), '\\left(e^{0}-1\\right)')
  })
})