EitherT
API Documentation: EitherT
Either can be used for error handling in most situations. However, when
        Either is placed into effectful types such as Option orFuture, a large
        amount of boilerplate is required to handle errors. For example, consider the
        following program:
import scala.util.Try
import cats.syntax.all._
def parseDouble(s: String): Either[String, Double] =
  Try(s.toDouble).map(Right(_)).getOrElse(Left(s"$s is not a number"))
def divide(a: Double, b: Double): Either[String, Double] =
  Either.cond(b != 0, a / b, "Cannot divide by zero")
def divisionProgram(inputA: String, inputB: String): Either[String, Double] =
  for {
    a <- parseDouble(inputA)
    b <- parseDouble(inputB)
    result <- divide(a, b)
  } yield result
divisionProgram("4", "2") // Right(2.0)
// res0: Either[String, Double] = Right(value = 2.0)
divisionProgram("a", "b") // Left("a is not a number")
// res1: Either[String, Double] = Left(value = "a is not a number")
        Suppose parseDouble and divide are rewritten to be asynchronous and return
        Future[Either[String, Double]] instead. The for-comprehension can no longer be
        used since divisionProgram must now compose Future and Either together,
        which means that the error handling must be performed explicitly to ensure that
        the proper types are returned:
import scala.concurrent.ExecutionContext.Implicits.global
import scala.concurrent.Future
def parseDoubleAsync(s: String): Future[Either[String, Double]] =
  Future.successful(parseDouble(s))
def divideAsync(a: Double, b: Double): Future[Either[String, Double]] =
  Future.successful(divide(a, b))
def divisionProgramAsync(inputA: String, inputB: String): Future[Either[String, Double]] =
  parseDoubleAsync(inputA) flatMap { eitherA =>
    parseDoubleAsync(inputB) flatMap { eitherB =>
      (eitherA, eitherB) match {
        case (Right(a), Right(b)) => divideAsync(a, b)
        case (Left(err), _) => Future.successful(Left(err))
        case (_, Left(err)) => Future.successful(Left(err))
      }
    }
  }
        Clearly, the updated code is less readable and more verbose: the details of the
        program are now mixed with the error handling. In addition, as more Eithers
        and Futures are included, the amount of boilerplate required to properly
        handle the errors will increase dramatically.
EitherT
EitherT[F[_], A, B] is a lightweight wrapper for F[Either[A, B]] that makes
        it easy to compose Eithers and Fs together. To use EitherT, values of
        Either, F, A, and B are first converted into EitherT, and the
        resulting EitherT values are then composed using combinators. For example, the
        asynchronous division program can be rewritten as follows:
import cats.data.EitherT
import cats.syntax.all._
def divisionProgramAsync(inputA: String, inputB: String): EitherT[Future, String, Double] =
  for {
    a <- EitherT(parseDoubleAsync(inputA))
    b <- EitherT(parseDoubleAsync(inputB))
    result <- EitherT(divideAsync(a, b))
  } yield result
divisionProgramAsync("4", "2").value
// res2: Future[Either[String, Double]] = Future(Success(Right(2.0)))
divisionProgramAsync("a", "b").value
// res3: Future[Either[String, Double]] = Future(Success(Left(a is not a number)))
        Note that when F is a monad, then EitherT will also form a monad, allowing
        monadic combinators such as flatMap to be used in composing EitherT values.
From A or B to EitherT[F, A, B]
        To obtain a left version or a right version of EitherT when given an A or a
        B, use EitherT.leftT and EitherT.rightT (which is an alias for
        EitherT.pure), respectively.
val number: EitherT[Option, String, Int] = EitherT.rightT(5)
val error: EitherT[Option, String, Int] = EitherT.leftT("Not a number")
        
        From F[A] or F[B] to EitherT[F, A, B]
        Similarly, use EitherT.left and EitherT.right to convert an F[A] or an F[B]
        into an EitherT. It is also possible to use EitherT.liftF as an alias for
        EitherT.right.
val numberO: Option[Int] = Some(5)
val errorO: Option[String] = Some("Not a number")
val number: EitherT[Option, String, Int] = EitherT.right(numberO)
val error: EitherT[Option, String, Int] = EitherT.left(errorO)
        
        From Either[A, B] or F[Either[A, B]] to EitherT[F, A, B]
        Use EitherT.fromEither to lift a value of Either[A, B] into EitherT[F, A, B].
        An F[Either[A, B]] can be converted into EitherT using the EitherT constructor.
val numberE: Either[String, Int] = Right(100)
val errorE: Either[String, Int] = Left("Not a number")
val numberFE: List[Either[String, Int]] = List(Right(250))
val numberET: EitherT[List, String, Int] = EitherT.fromEither(numberE)
val errorET: EitherT[List, String, Int] = EitherT.fromEither(errorE)
val numberFET: EitherT[List, String, Int] = EitherT(numberFE)
        
        From Option[B] or F[Option[B]] to EitherT[F, A, B]
        An Option[B] or an F[Option[B]], along with a default value, can be passed to
        EitherT.fromOption and EitherT.fromOptionF, respectively, to produce an
        EitherT. For F[Option[B]] and default F[A], there is EitherT.fromOptionM.
val myOption: Option[Int] = None
// myOption: Option[Int] = None
val myOptionList: List[Option[Int]] = List(None, Some(2), Some(3), None, Some(5))
// myOptionList: List[Option[Int]] = List(
//   None,
//   Some(value = 2),
//   Some(value = 3),
//   None,
//   Some(value = 5)
// )
val myOptionET = EitherT.fromOption[Future](myOption, "option not defined")
// myOptionET: EitherT[Future, String, Int] = EitherT(
//   value = Future(Success(Left(option not defined)))
// )
val myOptionListET = EitherT.fromOptionF(myOptionList, "option not defined")
// myOptionListET: EitherT[List, String, Int] = EitherT(
//   value = List(
//     Left(value = "option not defined"),
//     Right(value = 2),
//     Right(value = 3),
//     Left(value = "option not defined"),
//     Right(value = 5)
//   )
// )
val myOptionListETM = EitherT.fromOptionM(myOptionList, List("option not defined"))
// myOptionListETM: EitherT[List, String, Int] = EitherT(
//   value = List(
//     Left(value = "option not defined"),
//     Right(value = 2),
//     Right(value = 3),
//     Left(value = "option not defined"),
//     Right(value = 5)
//   )
// )
        
        From ApplicativeError[F, E] to EitherT[F, E, A]
        An ApplicativeError[F, E] or a MonadError[F, E], can be converted into EitherT[F, E, A] 
        using the attemptT method on them.
val myTry: Try[Int] = Try(2)
val myFuture: Future[String] = Future.failed(new Exception())
val myTryET: EitherT[Try, Throwable, Int] = myTry.attemptT
val myFutureET: EitherT[Future, Throwable, String] = myFuture.attemptT
        
        Extracting an F[Either[A, B]] from an EitherT[F, A, B]
        Use the value method defined on EitherT to retrieve the underlying F[Either[A, B]]:
val errorT: EitherT[Future, String, Int] = EitherT.leftT("foo")
// errorT: EitherT[Future, String, Int] = EitherT(
//   value = Future(Success(Left(foo)))
// )
val error: Future[Either[String, Int]] = errorT.value
// error: Future[Either[String, Int]] = Future(Success(Left(foo)))