在ErrorT之上为变换器定义MonadPlus实例

时间:2012-12-18 19:59:47

标签: haskell monads monad-transformers

我想定义一个monad转换器,除其他外,它赋予一个具有错误功能的基本monad。如果基本monad是变换的monad应该是MonadPlus的一个实例,但我无法弄清楚如何定义MonadPlus实例,以便ErrorT转换器将返回多个答案(如果有多个答案)。我的两次尝试都在下面的代码中。在代码的末尾,是一个语句,显示monad转换器在基本monad为[]时应该如何表现。感谢。

import Control.Monad.Error
import Control.Monad.Trans.Class

data MyTrans m a = MyTrans {runMyTrans :: ErrorT String m a}

instance Monad m => Monad (MyTrans m) where
    return  = MyTrans . lift . return
    m >>= f = MyTrans $ do x <- runMyTrans m
                           runMyTrans (f x)

instance MonadTrans MyTrans where
    lift m = MyTrans $ lift m

instance MonadPlus m => MonadPlus (MyTrans m) where
    mzero = MyTrans $ lift mzero
    -- Attempt #1 (Only reveals the first element)
    m `mplus` n = MyTrans $ (runMyTrans m) `mplus` (runMyTrans n)
    -- Attempt #2 (Incomplete: see undefined statements)
--     m `mplus` n = MyTrans $
--                   lift $ do a <- runErrorT $ runMyTrans m
--                             b <- runErrorT $ runMyTrans n
--                             case a of
--                               Right r 1
--                               Left _ -> undefined
--                                   -> case b of
--                                        Left _ -> undefined
--                                        Right t -> return r `mplus` return t



type MyMonad = MyTrans []

x = return 1 :: MyMonad Int
y = MyTrans $ throwError "Error" :: MyMonad Int

z = x `mplus` y

main = do
  print $ (runErrorT $ runMyTrans z) -- should be [Right 1, Left "Error"] 

1 个答案:

答案 0 :(得分:4)

instance MonadPlus m => MonadPlus (MyTrans m a) where
    mzero = MyTrans (ErrorT mzero)
    MyTrans (ErrorT m) `mplus` MyTrans (ErrorT n) = MyTrans (ErrorT (m `mplus` n))

小心:我只是确认这有您要求的行为,而不是检查它是否符合MonadPlus法律。有可能违反其中的部分或全部内容!使用风险自负。