短版:当我在MaybeT (State <type>)()
类型的单子使用runMaybeT
然后runState
,它看起来即使Maybe
结果等于Just()
像没有发生状态变化。为什么?为什么我的MaybeT(状态<type>)()忽略状态更改?
完整版本:我在写一个程序来解决河内的塔。我所代表的溶液作为State
单子列表是,测序时,操纵初始Towers
状态:
data Towers = Towers [Int] [Int] [Int]
deriving (Show)
type Move = State Towers()
towerMoves :: Int -> Rod -> Rod -> [Move]
towerMoves 1 r1 r2 = [pop r1 >>= push r2]
towerMoves n r1 r2 = topToTemp ++ (towerMoves 1 r1 r2) ++ topToFinal
where
r3 = other r1 r2
topToTemp = towerMoves (n - 1) r1 r3
topToFinal = towerMoves (n - 1) r3 r2
moves = towerMoves 5 First Third
initTowers = Towers [1,2,3,4,5] [] []
main = print $ snd $ runState (sequence_ moves) initTowers
迄今为止,这种方案产生正确的输出:
Towers [] [] [1,2,3,4,5]
然后,我想验证该程序是否遵守该难题的规则,即在较小的光盘之前没有更大的光盘(以数字表示)出现。我想每一个Move
后插入某种验证的,所以我试图用MaybeT
单子转换到发送失败向下的动作列表:
verifiedMoves :: [MaybeT (State Towers)()]
verifiedMoves = map ((>> verify) . return) moves
where
check :: [Int] -> Bool
check [] = True
check [_] = True
check (x:y:ys) = (x < y) && check (y:ys)
verify :: MaybeT (State Towers)()
verify = do
(Towers xs ys zs) <- lift get
guard (check xs && check ys && check zs)
因此我改变了main
单子:
main = maybe (putStrLn "violation") (const $ print finalTowers) v
where
(v, finalTowers) = runState (runMaybeT $ sequence_ verifiedMoves) initTowers
现在输出看起来不对劲,好像没有发生任何状态变化:
Towers [1,2,3,4,5] [] []
如果我让初始状态invali d,它的确没有通过验证。因此,如果由于Move
的影响被打断而没有状态变化,我希望输出成为“违规”一词。
为什么,应用runMaybeT
后,是将runState
等于(Just(), Towers [1,2,3,4,5] [] [])
的结果呢?
以下是其余代码,供参考。我试过lifting the get
and put
monads in my pop
and push
functions,但是生成了相同的输出。
import Control.Monad
import Data.Functor.Identity
import Control.Monad.State
import Control.Monad.Trans.Maybe
import qualified Data.Map as M
data Rod = First | Second | Third
deriving (Show)
other :: Rod -> Rod -> Rod
other First Second = Third
other Second First = Third
other First Third = Second
other Third First = Second
other Second Third = First
other Third Second = First
getRod :: Towers -> Rod -> [Int]
getRod (Towers x y z) First = x
getRod (Towers x y z) Second = y
getRod (Towers x y z) Third = z
setRod :: Rod -> Towers -> [Int] -> Towers
setRod First t ds = Towers ds r2 r3
where
r2 = t `getRod` Second
r3 = t `getRod` Third
setRod Second t ds = Towers r1 ds r3
where
r1 = t `getRod` First
r3 = t `getRod` Third
setRod Third t ds = Towers r1 r2 ds
where
r1 = t `getRod` First
r2 = t `getRod` Second
pop :: Rod -> State Towers Int
pop r = do
t <- get
let ds = t `getRod` r
d = head ds
load = setRod r
put $ t `load` (tail ds)
return d
push :: Rod -> Int -> State Towers()
push r d = do
t <- get
let ds = t `getRod` r
load = setRod r
put $ t `load` (d:ds)
修复它并启发我。谢谢。 – Alex