如何在scalaz中堆叠ReaderT和WriterT变换器？

Question

我正在玩monad变形金刚scalaz.我正在尝试将读取器顶部的Writer与底层Idmonad 堆叠在一起.为了组合它们,我正在使用MonadReader和MonadWriter输入类.

我设法编译并运行以下代码示例而没有编写器(即使用Readermonad,即ReaderT[Id.Id, String, A]).在向WriterT堆栈添加时,我收到编译错误:

Gist.scala:10: could not find implicit value for parameter F: scalaz.MonadReader[Gist.R,String]
   val MR = MonadReader[R, String]
                       ^

如何获取MonadReader变压器堆栈的实例？我是否必须使用ReaderWriterStateT或有其他方式吗？

完整代码:

import scalaz.{Id, MonadListen, MonadReader, ReaderT, WriterT}

object Gist {
  import scalaz.std.list._
  import scalaz.syntax.monad._

  type P[A] = ReaderT[Id.Id, String, A]
  type R[A] = WriterT[P, List[String], A]

  val MR = MonadReader[R, String]
  val MW = MonadListen[R, List[String]]

  def apply: R[String] = MR.ask >>= { greeting =>
    MW.tell(List(s"greeting $greeting")) >>= { _ =>
      MW.point(s"Hello $greeting")
    }
  }
}

Answer 1

我不完全确定Scalaz为什么不提供这个实例(或MonadReader类似的monad变换器的实例),但我猜这个答案与WriterTInstanceN已经过去11的事实有关,并且加入MonadReader会让事情变得更加平稳更多的是一团糟.

您可以在Scalaz的GitHub问题中进行挖掘(或者甚至在IRC频道询问您是否有这种事情的胃),但我不确定答案是否重要.

您可以非常直接地从Haskell的mtl移植实例:

instance (Monoid w, MonadReader r m) => MonadReader r (Strict.WriterT w m) where
    ask   = lift ask
    local = Strict.mapWriterT . local
    reader = lift . reader

翻译成Scala的内容如下所示:

import scalaz.{ MonadReader, MonadTrans, Monoid, WriterT }
import scalaz.syntax.monad._

implicit def monadReaderForWriterT[F[_], I, W](implicit
  F: MonadReader[F, I],
  W: Monoid[W]
): MonadReader[WriterT[F, W, ?], I] = new MonadReader[WriterT[F, W, ?], I] {
  def ask: WriterT[F, W, I] = MonadTrans[WriterT[?[_], W, ?]].liftM(F.ask)

  def local[A](f: I => I)(fa: WriterT[F, W, A]): WriterT[F, W, A] =
    fa.mapT(F.local(f))

  def point[A](a: => A): WriterT[F, W, A] = a.point[WriterT[F, W, ?]]
  def bind[A, B](fa: WriterT[F, W, A])(
    f: A => WriterT[F, W, B]
  ): WriterT[F, W, B] = fa.flatMap(f)
}

请注意,我使用的是kind-projector,因为lambda版本的类型将比Haskell版本长四倍或五倍,而不是仅仅三倍.

一旦定义了此实例,就可以编写以下内容:

import scalaz.{ Id, MonadListen, ReaderT }
import scalaz.std.list._

type P[A] = ReaderT[Id.Id, String, A]
type R[A] = WriterT[P, List[String], A]

val MR = MonadReader[R, String]
val MW = MonadListen[R, List[String]]

def apply: R[String] = MR.ask >>= { greeting =>
  MW.tell(List(s"greeting $greeting")) >>= { _ =>
    MW.point(s"Hello $greeting")
  }
}