I am looking for a monad transformer that can be used to track the progress of a procedure. To explain how it would be used, consider the following code:
procedure :: ProgressT IO ()
procedure = task "Print some lines" 3 $ do
liftIO $ putStrLn "line1"
step
task "Print a complicated line" 2 $ do
liftIO $ putStr "li"
step
liftIO $ putStrLn "ne2"
step
liftIO $ putStrLn "line3"
-- Wraps an action in a task
task :: Monad m
=> String -- Name of task
-> Int -- Number of steps to complete task
-> ProgressT m a -- Action performing the task
-> ProgressT m a
-- Marks one step of the current task as completed
step :: Monad m => ProgressT m ()
I realize that step
has to exist explicitly because of the monadic laws, and that task
has to have an explicit step number parameter because of program determinism/the halting problem.
The monad as described above could, as I see it, be implemented in one of two ways:
For solution (1), I have looked at Control.Monad.Coroutine
with the Yield
suspension functor. For solution (2), I don't know of any already available monad transformers that would be useful.
The solution I'm looking for should not have too much performance overhead and allow as much control over the procedure as possible (e.g. not require IO access or something).
Do one of these solutions sound viable, or are there other solutions to this problem somewhere already? Has this problem already been solved with a monad transformer that I've been unable to find?
EDIT: The goal isn't to check whether all the steps have been performed. The goal is to be able to "monitor" the process while it is running, so that one can tell how much of it has been completed.
Monad transformer. In functional programming, a monad transformer is a type constructor which takes a monad as an argument and returns a monad as a result. Monad transformers can be used to compose features encapsulated by monads – such as state, exception handling, and I/O – in a modular way.
In a monad transformer, the lift function allows you to run actions in the underlying monad. This behavior is encompassed by the MonadTrans class: So using lift in the ReaderT Env IO action allows IO functions. Using the type template from the class, we can substitute Reader Env for t, and IO for m.
Luckily, we can get the desired behavior by using monad transformers to combine monads. In this example, we'll wrap the IO actions within a transformer called MaybeT. A monad transformer is fundamentally a wrapper type.
Monads are a convenient way to to sequence computation with effects. Different monads can provide different kinds of effects: This has nothing to do with a monad transformer, just review. Let's talk about something totally different. The typical left fold we've seen requires you to consume the entire list.
This is my pessimistic solution to this problem. It uses Coroutine
s to suspend the computation on each step, which lets the user perform an arbitrary computation to report some progress.
EDIT: The full implementation of this solution can be found here.
Can this solution be improved?
First, how it is used:
-- The procedure that we want to run.
procedure :: ProgressT IO ()
procedure = task "Print some lines" 3 $ do
liftIO $ putStrLn "--> line 1"
step
task "Print a set of lines" 2 $ do
liftIO $ putStrLn "--> line 2.1"
step
liftIO $ putStrLn "--> line 2.2"
step
liftIO $ putStrLn "--> line 3"
main :: IO ()
main = runConsole procedure
-- A "progress reporter" that simply prints the task stack on each step
-- Note that the monad used for reporting, and the monad used in the procedure,
-- can be different.
runConsole :: ProgressT IO a -> IO a
runConsole proc = do
result <- runProgress proc
case result of
-- We stopped at a step:
Left (cont, stack) -> do
print stack -- Print the stack
runConsole cont -- Continue the procedure
-- We are done with the computation:
Right a -> return a
The above program outputs:
--> line 1
[Print some lines (1/3)]
--> line 2.1
[Print a set of lines (1/2),Print some lines (1/3)]
--> line 2.2
[Print a set of lines (2/2),Print some lines (1/3)]
[Print some lines (2/3)]
--> line 3
[Print some lines (3/3)]
The actual implementation (See this for a commented version):
type Progress l = ProgressT l Identity
runProgress :: Progress l a
-> Either (Progress l a, TaskStack l) a
runProgress = runIdentity . runProgressT
newtype ProgressT l m a =
ProgressT
{
procedure ::
Coroutine
(Yield (TaskStack l))
(StateT (TaskStack l) m) a
}
instance MonadTrans (ProgressT l) where
lift = ProgressT . lift . lift
instance Monad m => Monad (ProgressT l m) where
return = ProgressT . return
p >>= f = ProgressT (procedure p >>= procedure . f)
instance MonadIO m => MonadIO (ProgressT l m) where
liftIO = lift . liftIO
runProgressT :: Monad m
=> ProgressT l m a
-> m (Either (ProgressT l m a, TaskStack l) a)
runProgressT action = do
result <- evalStateT (resume . procedure $ action) []
return $ case result of
Left (Yield stack cont) -> Left (ProgressT cont, stack)
Right a -> Right a
type TaskStack l = [Task l]
data Task l =
Task
{ taskLabel :: l
, taskTotalSteps :: Word
, taskStep :: Word
} deriving (Show, Eq)
task :: Monad m
=> l
-> Word
-> ProgressT l m a
-> ProgressT l m a
task label steps action = ProgressT $ do
-- Add the task to the task stack
lift . modify $ pushTask newTask
-- Perform the procedure for the task
result <- procedure action
-- Insert an implicit step at the end of the task
procedure step
-- The task is completed, and is removed
lift . modify $ popTask
return result
where
newTask = Task label steps 0
pushTask = (:)
popTask = tail
step :: Monad m => ProgressT l m ()
step = ProgressT $ do
(current : tasks) <- lift get
let currentStep = taskStep current
nextStep = currentStep + 1
updatedTask = current { taskStep = nextStep }
updatedTasks = updatedTask : tasks
when (currentStep > taskTotalSteps current) $
fail "The task has already completed"
yield updatedTasks
lift . put $ updatedTasks
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