How to preserve the state of the monad stack in the IO exception handler?

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Consider the following program.

import Control.Monad.State
import Control.Monad.Catch

ex1 :: StateT Int IO ()
ex1 = do
    modify (+10)
    liftIO . ioError $ userError "something went wrong"

ex2 :: StateT Int IO ()
ex2 = do
    x <- get
    liftIO $ print x

ex3 :: StateT Int IO ()
ex3 = ex1 `onException` ex2

main :: IO ()
main = evalStateT ex3 0

When we run the program we get the following output.

$ runhaskell Test.hs
0
Test.hs: user error (something went wrong)

However, I expected the output to be as follows.

$ runhaskell Test.hs
10
Test.hs: user error (something went wrong)

How do I preserve the intermediate state in ex1 in the exception handler ex2?

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Daniel Wagner On BEST ANSWER

Use an IORef (or MVar or TVar or whatever) instead.

newtype IOStateT s m a = IOStateT { unIOStateT :: ReaderT (IORef s) m a }
    deriving (Functor, Applicative, Monad, MonadTrans, MonadIO)
    -- N.B. not MonadReader! you want that instance to pass through,
    -- unlike ReaderT's instance, so you have to write the instance
    -- by hand

runIOStateT :: IOStateT s m a -> IORef s -> m a
runIOStateT = runReaderT . unIOStateT -- or runIOStateT = coerce if you're feeling cheeky

instance MonadIO m => MonadState s (IOStateT s m) where
    state f = IOStateT $ do
        ref <- ask
        liftIO $ do
            s <- readIORef ref
            let (a, s') = f s
            writeIORef ref s'
            pure a

This feels like a pattern I've seen enough times that there ought to be a Hackage package for it, but I don't know of one.