{-# LANGUAGE ExistentialQuantification #-} {-# LANGUAGE Rank2Types #-} -- | Concurrent monads with a fixed scheduler: internal types and -- functions. module Control.Monad.Conc.Fixed.Internal where import Control.DeepSeq (NFData(..)) import Control.Monad (liftM, mapAndUnzipM) import Control.Monad.Cont (Cont, runCont) import Data.Map (Map) import Data.Maybe (catMaybes, fromJust, isNothing) import qualified Data.Map as M -- * The @Conc@ Monad -- | The underlying monad is based on continuations over Actions. type M n r a = Cont (Action n r) a -- | CVars are represented as a reference containing a maybe value, -- and a list of things blocked on it. type R r a = r (Maybe a, [Block]) -- | Dict of methods for concrete implementations to override. data Fixed c n r t = F { newRef :: forall a. a -> n (r a) -- ^ Create a new reference , readRef :: forall a. r a -> n a -- ^ Read a reference. , writeRef :: forall a. r a -> a -> n () -- ^ Overwrite the contents of a reference. , liftN :: forall a. n a -> c t a -- ^ Lift an action from the underlying monad , getCont :: forall a. c t a -> M n r a -- ^ Unpack the continuation-based computation from its wrapping -- type. } -- * Non-Empty Lists -- | The type of non-empty lists. data NonEmpty a = a :| [a] deriving (Eq, Ord, Read, Show) instance Functor NonEmpty where fmap f (a :| as) = f a :| map f as instance NFData a => NFData (NonEmpty a) where rnf (x:|xs) = rnf (x, xs) -- | Convert a 'NonEmpty' to a regular non-empty list. toList :: NonEmpty a -> [a] toList (a :| as) = a : as -- * Running @Conc@ Computations -- | Scheduling is done in terms of a trace of 'Action's. Blocking can -- only occur as a result of an action, and they cover (most of) the -- primitives of the concurrency. 'spawn' is absent as it is -- implemented in terms of 'newEmptyCVar', 'fork', and 'putCVar'. data Action n r = AFork (Action n r) (Action n r) | forall a. APut (R r a) a (Action n r) | forall a. ATryPut (R r a) a (Bool -> Action n r) | forall a. AGet (R r a) (a -> Action n r) | forall a. ATake (R r a) (a -> Action n r) | forall a. ATryTake (R r a) (Maybe a -> Action n r) | ANew (n (Action n r)) | ALift (n (Action n r)) | AStop -- | Every live thread has a unique identitifer. These are implemented -- as integers, but you shouldn't assume they are necessarily -- contiguous. type ThreadId = Int -- | A @Scheduler@ maintains some internal state, @s@, takes the -- 'ThreadId' of the last thread scheduled, and the list of runnable -- threads. It produces a 'ThreadId' to schedule, and a new state. -- -- Note: In order to prevent computation from hanging, the 'Conc' -- runtime will assume that a deadlock situation has arisen if the -- scheduler attempts to (a) schedule a blocked thread, or (b) -- schedule a nonexistent thread. In either of those cases, the -- computation will be halted. type Scheduler s = s -> ThreadId -> NonEmpty ThreadId -> (ThreadId, s) -- | One of the outputs of the runner is a @Trace@, which is just a -- log of threads and actions they have taken. type Trace = [(ThreadId, ThreadAction)] -- | All the actions that a thread can perform. data ThreadAction = Fork ThreadId -- ^ Start a new thread. | New -- ^ Create a new 'CVar'. | Put [ThreadId] -- ^ Put into a 'CVar', possibly waking up some threads. | BlockedPut -- ^ Get blocked on a put. | TryPut Bool [ThreadId] -- ^ Try to put into a 'CVar', possibly waking up some threads. | Read -- ^ Read from a 'CVar'. | BlockedRead -- ^ Get blocked on a read. | Take [ThreadId] -- ^ Take from a 'CVar', possibly waking up some threads. | BlockedTake -- ^ Get blocked on a take. | TryTake Bool [ThreadId] -- ^ Try to take from a 'CVar', possibly waking up some threads. | Lift -- ^ Lift an action from the underlying monad. Note that the -- penultimate action in a trace will always be a @Lift@, this is an -- artefact of how the runner works. | Stop -- ^ Cease execution and terminate. deriving (Eq, Show) instance NFData ThreadAction where rnf (TryTake b tids) = rnf (b, tids) rnf (TryPut b tids) = rnf (b, tids) rnf (Fork tid) = rnf tid rnf (Take tids) = rnf tids rnf (Put tids) = rnf tids rnf BlockedRead = () rnf BlockedTake = () rnf BlockedPut = () rnf New = () rnf Read = () rnf Lift = () rnf Stop = () -- | Run a concurrent computation with a given 'Scheduler' and initial -- state, returning a 'Just' if it terminates, and 'Nothing' if a -- deadlock is detected. runFixed :: (Monad (c t), Monad n) => Fixed c n r t -> Scheduler s -> s -> c t a -> n (Maybe a) runFixed fixed sched s ma = liftM (\(a,_,_) -> a) $ runFixed' fixed sched s ma -- | Variant of 'runFixed' which returns the final state of the -- scheduler and an execution trace. runFixed' :: (Monad (c t), Monad n) => Fixed c n r t -> Scheduler s -> s -> c t a -> n (Maybe a, s, Trace) runFixed' fixed sched s ma = do ref <- newRef fixed Nothing let c = getCont fixed $ ma >>= liftN fixed . writeRef fixed ref . Just let threads = M.fromList [(0, (runCont c $ const AStop, False))] (s', trace) <- runThreads fixed [] (negate 1) sched s threads ref out <- readRef fixed ref return (out, s', reverse trace) -- * Running threads -- | A @Block@ is used to determine what sort of block a thread is -- experiencing. data Block = WaitFull ThreadId | WaitEmpty ThreadId deriving Eq -- | Threads are represented as a tuple of (next action, is blocked). type Threads n r = Map ThreadId (Action n r, Bool) -- | Run a collection of threads, until there are no threads left. -- -- A thread is represented as a tuple of (next action, is blocked). -- -- Note: this returns the trace in reverse order, because it's more -- efficient to prepend to a list than append. As this function isn't -- exposed to users of the library, this is just an internal gotcha to -- watch out for. runThreads :: (Monad (c t), Monad n) => Fixed c n r t -> Trace -> ThreadId -> Scheduler s -> s -> Threads n r -> r (Maybe a) -> n (s, Trace) runThreads fixed sofar prior sched s threads ref | isTerminated = return (s, sofar) | isDeadlocked = writeRef fixed ref Nothing >> return (s, sofar) | isNonexistant = writeRef fixed ref Nothing >> return (s, sofar) | isBlocked = writeRef fixed ref Nothing >> return (s, sofar) | otherwise = do (threads', act) <- stepThread (fst $ fromJust thread) fixed chosen threads let sofar' = (chosen, act) : sofar runThreads fixed sofar' chosen sched s' threads' ref where (chosen, s') = if prior == -1 then (0, s) else sched s prior $ head runnable' :| tail runnable' runnable' = M.keys runnable runnable = M.filter (not . snd) threads thread = M.lookup chosen threads isBlocked = snd $ fromJust thread isNonexistant = isNothing thread isTerminated = 0 `notElem` M.keys threads isDeadlocked = M.null runnable -- | Run a single thread one step, by dispatching on the type of -- 'Action'. stepThread :: (Monad (c t), Monad n) => Action n r -> Fixed c n r t -> ThreadId -> Threads n r -> n (Threads n r, ThreadAction) stepThread (AFork a b) = stepFork a b stepThread (APut ref a c) = stepPut ref a c stepThread (ATryPut ref a c) = stepTryPut ref a c stepThread (AGet ref c) = stepGet ref c stepThread (ATake ref c) = stepTake ref c stepThread (ATryTake ref c) = stepTryTake ref c stepThread (ANew na) = stepNew na stepThread (ALift na) = stepLift na stepThread AStop = stepStop -- | Start a new thread, assigning it a unique 'ThreadId' stepFork :: (Monad (c t), Monad n) => Action n r -> Action n r -> Fixed c n r t -> ThreadId -> Threads n r -> n (Threads n r, ThreadAction) stepFork a b _ i threads = let (threads', newid) = launch a threads in return (goto b i threads', Fork newid) -- | Put a value into a @CVar@, blocking the thread until it's empty. stepPut :: (Monad (c t), Monad n) => R r a -> a -> Action n r -> Fixed c n r t -> ThreadId -> Threads n r -> n (Threads n r, ThreadAction) stepPut ref a c fixed i threads = do (val, blocks) <- readRef fixed ref case val of Just _ -> do threads' <- block fixed ref WaitEmpty i threads return (threads', BlockedPut) Nothing -> do writeRef fixed ref (Just a, blocks) (threads', woken) <- wake fixed ref WaitFull threads return (goto c i threads', Put woken) -- | Try to put a value into a @CVar@, without blocking. stepTryPut :: (Monad (c t), Monad n) => R r a -> a -> (Bool -> Action n r) -> Fixed c n r t -> ThreadId -> Threads n r -> n (Threads n r, ThreadAction) stepTryPut ref a c fixed i threads = do (val, blocks) <- readRef fixed ref case val of Just _ -> return (goto (c False) i threads, TryPut False []) Nothing -> do writeRef fixed ref (Just a, blocks) (threads', woken) <- wake fixed ref WaitFull threads return (goto (c True) i threads', TryPut True woken) -- | Get the value from a @CVar@, without emptying, blocking the -- thread until it's full. stepGet :: (Monad (c t), Monad n) => R r a -> (a -> Action n r) -> Fixed c n r t -> ThreadId -> Threads n r -> n (Threads n r, ThreadAction) stepGet ref c fixed i threads = do (val, _) <- readRef fixed ref case val of Just val' -> return (goto (c val') i threads, Read) Nothing -> do threads' <- block fixed ref WaitFull i threads return (threads', BlockedRead) -- | Take the value from a @CVar@, blocking the thread until it's -- full. stepTake :: (Monad (c t), Monad n) => R r a -> (a -> Action n r) -> Fixed c n r t -> ThreadId -> Threads n r -> n (Threads n r, ThreadAction) stepTake ref c fixed i threads = do (val, blocks) <- readRef fixed ref case val of Just val' -> do writeRef fixed ref (Nothing, blocks) (threads', woken) <- wake fixed ref WaitEmpty threads return (goto (c val') i threads', Take woken) Nothing -> do threads' <- block fixed ref WaitFull i threads return (threads', BlockedTake) -- | Try to take the value from a @CVar@, without blocking. stepTryTake :: (Monad (c t), Monad n) => R r a -> (Maybe a -> Action n r) -> Fixed c n r t -> ThreadId -> Threads n r -> n (Threads n r, ThreadAction) stepTryTake ref c fixed i threads = do (val, blocks) <- readRef fixed ref case val of Just _ -> do writeRef fixed ref (Nothing, blocks) (threads', woken) <- wake fixed ref WaitEmpty threads return (goto (c val) i threads', TryTake True woken) Nothing -> return (goto (c Nothing) i threads, TryTake False []) -- | Create a new @CVar@. This is exactly the same as lifting a value, -- except by separating the two we can (a) produce a more useful -- trace, and (b) make smarter pre-emption decisions. stepNew :: (Monad (c t), Monad n) => n (Action n r) -> Fixed c n r t -> ThreadId -> Threads n r -> n (Threads n r, ThreadAction) stepNew na _ i threads = do a <- na return (goto a i threads, New) -- | Lift an action from the underlying monad into the @Conc@ -- computation. stepLift :: (Monad (c t), Monad n) => n (Action n r) -> Fixed c n r t -> ThreadId -> Threads n r -> n (Threads n r, ThreadAction) stepLift na _ i threads = do a <- na return (goto a i threads, Lift) -- | Kill the current thread. stepStop :: (Monad (c t), Monad n) => Fixed c n r t -> ThreadId -> Threads n r -> n (Threads n r, ThreadAction) stepStop _ i threads = return (kill i threads, Stop) -- * Manipulating threads -- | Replace the @Action@ of a thread. goto :: Action n r -> ThreadId -> Threads n r -> Threads n r goto a = M.alter $ \(Just (_, b)) -> Just (a, b) -- | Block a thread on a @CVar@. block :: (Monad (c t), Monad n) => Fixed c n r t -> R r a -> (ThreadId -> Block) -> ThreadId -> Threads n r -> n (Threads n r) block fixed ref typ tid threads = do (val, blocks) <- readRef fixed ref writeRef fixed ref (val, typ tid : blocks) return $ M.alter (\(Just (a, _)) -> Just (a, True)) tid threads -- | Start a thread with the next free ID. launch :: Action n r -> Threads n r -> (Threads n r, ThreadId) launch a m = (M.insert k (a, False) m, k) where k = succ . maximum $ M.keys m -- | Kill a thread. kill :: ThreadId -> Threads n r -> Threads n r kill = M.delete -- | Wake every thread blocked on a @CVar@ read/write. wake :: (Monad (c t), Monad n) => Fixed c n r t -> R r a -> (ThreadId -> Block) -> Threads n r -> n (Threads n r, [ThreadId]) wake fixed ref typ m = do (m', woken) <- mapAndUnzipM wake' (M.toList m) return (M.fromList m', catMaybes woken) where wake' a@(tid, (act, True)) = do let blck = typ tid (val, blocks) <- readRef fixed ref if blck `elem` blocks then writeRef fixed ref (val, filter (/= blck) blocks) >> return ((tid, (act, False)), Just tid) else return (a, Nothing) wake' a = return (a, Nothing)