    {-# LANGUAGE CPP #-}
    #if __GLASGOW_HASKELL__ >= 702
    {-# LANGUAGE Safe #-}
    #endif
    #if __GLASGOW_HASKELL__ >= 710
    {-# LANGUAGE AutoDeriveTypeable #-}
    #endif
    -----------------------------------------------------------------------------
    -- |
    -- Module      :  Control.Monad.Trans.State.Strict
    -- Copyright   :  (c) Andy Gill 2001,
    --                (c) Oregon Graduate Institute of Science and Technology, 2001
    -- License     :  BSD-style (see the file LICENSE)
    --
    -- Maintainer  :  R.Paterson@city.ac.uk
    -- Stability   :  experimental
    -- Portability :  portable
    --
    -- Strict state monads, passing an updatable state through a computation.
    -- See below for examples.
    --
    -- Some computations may not require the full power of state transformers:
    --
    -- * For a read-only state, see "Control.Monad.Trans.Reader".
    --
    -- * To accumulate a value without using it on the way, see
    --   "Control.Monad.Trans.Writer".
    --
    -- In this version, sequencing of computations is strict (but computations
    -- are not strict in the state unless you force it with 'seq' or the like).
    -- For a lazy version with the same interface, see
    -- "Control.Monad.Trans.State.Lazy".
    -----------------------------------------------------------------------------

    module Control.Monad.Trans.State.Strict (
        -- * The State monad
        State,
        state,
        runState,
        evalState,
        execState,
        mapState,
        withState,
        -- * The StateT monad transformer
        StateT(..),
        evalStateT,
        execStateT,
        mapStateT,
        withStateT,
        -- * State operations
        get,
        put,
        modify,
        modify',
        gets,
        -- * Lifting other operations
        liftCallCC,
        liftCallCC',
        liftCatch,
        liftListen,
        liftPass,
        -- * Examples
        -- ** State monads
        -- $examples

        -- ** Counting
        -- $counting

        -- ** Labelling trees
        -- $labelling
      ) where

    import Control.Monad.IO.Class
    import Control.Monad.Signatures
    import Control.Monad.Trans.Class
    #if MIN_VERSION_base(4,12,0)
    import Data.Functor.Contravariant
    #endif
    import Data.Functor.Identity

    import Control.Applicative
    import Control.Monad
    #if MIN_VERSION_base(4,9,0)
    import qualified Control.Monad.Fail as Fail
    #endif
    import Control.Monad.Fix

    -- ---------------------------------------------------------------------------
    -- | A state monad parameterized by the type @s@ of the state to carry.
    --
    -- The 'return' function leaves the state unchanged, while @>>=@ uses
    -- the final state of the first computation as the initial state of
    -- the second.
    type State s = StateT s Identity

    -- | Construct a state monad computation from a function.
    -- (The inverse of 'runState'.)
    state :: (Monad m)
          => (s -> (a, s))  -- ^pure state transformer
          -> StateT s m a   -- ^equivalent state-passing computation
    state :: forall (m :: * -> *) s a. Monad m => (s -> (a, s)) -> StateT s m a
    state s -> (a, s)
    f = (s -> m (a, s)) -> StateT s m a
    forall s (m :: * -> *) a. (s -> m (a, s)) -> StateT s m a
    StateT ((a, s) -> m (a, s)
    forall a. a -> m a
    forall (m :: * -> *) a. Monad m => a -> m a
    return ((a, s) -> m (a, s)) -> (s -> (a, s)) -> s -> m (a, s)
    forall b c a. (b -> c) -> (a -> b) -> a -> c
    . s -> (a, s)
    f)
    {-# INLINE state #-}

    -- | Unwrap a state monad computation as a function.
    -- (The inverse of 'state'.)
    runState :: State s a   -- ^state-passing computation to execute
             -> s           -- ^initial state
             -> (a, s)      -- ^return value and final state
    runState :: forall s a. State s a -> s -> (a, s)
    runState State s a
    m = Identity (a, s) -> (a, s)
    forall a. Identity a -> a
    runIdentity (Identity (a, s) -> (a, s))
    -> (s -> Identity (a, s)) -> s -> (a, s)
    forall b c a. (b -> c) -> (a -> b) -> a -> c
    . State s a -> s -> Identity (a, s)
    forall s (m :: * -> *) a. StateT s m a -> s -> m (a, s)
    runStateT State s a
    m
    {-# INLINE runState #-}

    -- | Evaluate a state computation with the given initial state
    -- and return the final value, discarding the final state.
    --
    -- * @'evalState' m s = 'fst' ('runState' m s)@
    evalState :: State s a  -- ^state-passing computation to execute
              -> s          -- ^initial value
              -> a          -- ^return value of the state computation
    evalState :: forall s a. State s a -> s -> a
    evalState State s a
    m s
    s = (a, s) -> a
    forall a b. (a, b) -> a
    fst (State s a -> s -> (a, s)
    forall s a. State s a -> s -> (a, s)
    runState State s a
    m s
    s)
    {-# INLINE evalState #-}

    -- | Evaluate a state computation with the given initial state
    -- and return the final state, discarding the final value.
    --
    -- * @'execState' m s = 'snd' ('runState' m s)@
    execState :: State s a  -- ^state-passing computation to execute
              -> s          -- ^initial value
              -> s          -- ^final state
    execState :: forall s a. State s a -> s -> s
    execState State s a
    m s
    s = (a, s) -> s
    forall a b. (a, b) -> b
    snd (State s a -> s -> (a, s)
    forall s a. State s a -> s -> (a, s)
    runState State s a
    m s
    s)
    {-# INLINE execState #-}

    -- | Map both the return value and final state of a computation using
    -- the given function.
    --
    -- * @'runState' ('mapState' f m) = f . 'runState' m@
    mapState :: ((a, s) -> (b, s)) -> State s a -> State s b
    mapState :: forall a s b. ((a, s) -> (b, s)) -> State s a -> State s b
    mapState (a, s) -> (b, s)
    f = (Identity (a, s) -> Identity (b, s))
    -> StateT s Identity a -> StateT s Identity b
    forall (m :: * -> *) a s (n :: * -> *) b.
    (m (a, s) -> n (b, s)) -> StateT s m a -> StateT s n b
    mapStateT ((b, s) -> Identity (b, s)
    forall a. a -> Identity a
    Identity ((b, s) -> Identity (b, s))
    -> (Identity (a, s) -> (b, s))
    -> Identity (a, s)
    -> Identity (b, s)
    forall b c a. (b -> c) -> (a -> b) -> a -> c
    . (a, s) -> (b, s)
    f ((a, s) -> (b, s))
    -> (Identity (a, s) -> (a, s)) -> Identity (a, s) -> (b, s)
    forall b c a. (b -> c) -> (a -> b) -> a -> c
    . Identity (a, s) -> (a, s)
    forall a. Identity a -> a
    runIdentity)
    {-# INLINE mapState #-}

    -- | @'withState' f m@ executes action @m@ on a state modified by
    -- applying @f@.
    --
    -- * @'withState' f m = 'modify' f >> m@
    withState :: (s -> s) -> State s a -> State s a
    withState :: forall s a. (s -> s) -> State s a -> State s a
    withState = (s -> s) -> StateT s Identity a -> StateT s Identity a
    forall s (m :: * -> *) a. (s -> s) -> StateT s m a -> StateT s m a
    withStateT
    {-# INLINE withState #-}

    -- ---------------------------------------------------------------------------
    -- | A state transformer monad parameterized by:
    --
    --   * @s@ - The state.
    --
    --   * @m@ - The inner monad.
    --
    -- The 'return' function leaves the state unchanged, while @>>=@ uses
    -- the final state of the first computation as the initial state of
    -- the second.
    newtype StateT s m a = StateT { forall s (m :: * -> *) a. StateT s m a -> s -> m (a, s)
    runStateT :: s -> m (a,s) }

    -- | Evaluate a state computation with the given initial state
    -- and return the final value, discarding the final state.
    --
    -- * @'evalStateT' m s = 'liftM' 'fst' ('runStateT' m s)@
    evalStateT :: (Monad m) => StateT s m a -> s -> m a
    evalStateT :: forall (m :: * -> *) s a. Monad m => StateT s m a -> s -> m a
    evalStateT StateT s m a
    m s
    s = do
        (a
    a, s
    _) <- StateT s m a -> s -> m (a, s)
    forall s (m :: * -> *) a. StateT s m a -> s -> m (a, s)
    runStateT StateT s m a
    m s
    s
        a -> m a
    forall a. a -> m a
    forall (m :: * -> *) a. Monad m => a -> m a
    return a
    a
    {-# INLINE evalStateT #-}

    -- | Evaluate a state computation with the given initial state
    -- and return the final state, discarding the final value.
    --
    -- * @'execStateT' m s = 'liftM' 'snd' ('runStateT' m s)@
    execStateT :: (Monad m) => StateT s m a -> s -> m s
    execStateT :: forall (m :: * -> *) s a. Monad m => StateT s m a -> s -> m s
    execStateT StateT s m a
    m s
    s = do
        (a
    _, s
    s') <- StateT s m a -> s -> m (a, s)
    forall s (m :: * -> *) a. StateT s m a -> s -> m (a, s)
    runStateT StateT s m a
    m s
    s
        s -> m s
    forall a. a -> m a
    forall (m :: * -> *) a. Monad m => a -> m a
    return s
    s'
    {-# INLINE execStateT #-}

    -- | Map both the return value and final state of a computation using
    -- the given function.
    --
    -- * @'runStateT' ('mapStateT' f m) = f . 'runStateT' m@
    mapStateT :: (m (a, s) -> n (b, s)) -> StateT s m a -> StateT s n b
    mapStateT :: forall (m :: * -> *) a s (n :: * -> *) b.
    (m (a, s) -> n (b, s)) -> StateT s m a -> StateT s n b
    mapStateT m (a, s) -> n (b, s)
    f StateT s m a
    m = (s -> n (b, s)) -> StateT s n b
    forall s (m :: * -> *) a. (s -> m (a, s)) -> StateT s m a
    StateT ((s -> n (b, s)) -> StateT s n b)
    -> (s -> n (b, s)) -> StateT s n b
    forall a b. (a -> b) -> a -> b
    $ m (a, s) -> n (b, s)
    f (m (a, s) -> n (b, s)) -> (s -> m (a, s)) -> s -> n (b, s)
    forall b c a. (b -> c) -> (a -> b) -> a -> c
    . StateT s m a -> s -> m (a, s)
    forall s (m :: * -> *) a. StateT s m a -> s -> m (a, s)
    runStateT StateT s m a
    m
    {-# INLINE mapStateT #-}

    -- | @'withStateT' f m@ executes action @m@ on a state modified by
    -- applying @f@.
    --
    -- * @'withStateT' f m = 'modify' f >> m@
    withStateT :: (s -> s) -> StateT s m a -> StateT s m a
    withStateT :: forall s (m :: * -> *) a. (s -> s) -> StateT s m a -> StateT s m a
    withStateT s -> s
    f StateT s m a
    m = (s -> m (a, s)) -> StateT s m a
    forall s (m :: * -> *) a. (s -> m (a, s)) -> StateT s m a
    StateT ((s -> m (a, s)) -> StateT s m a)
    -> (s -> m (a, s)) -> StateT s m a
    forall a b. (a -> b) -> a -> b
    $ StateT s m a -> s -> m (a, s)
    forall s (m :: * -> *) a. StateT s m a -> s -> m (a, s)
    runStateT StateT s m a
    m (s -> m (a, s)) -> (s -> s) -> s -> m (a, s)
    forall b c a. (b -> c) -> (a -> b) -> a -> c
    . s -> s
    f
    {-# INLINE withStateT #-}

    instance (Functor m) => Functor (StateT s m) where
        fmap :: forall a b. (a -> b) -> StateT s m a -> StateT s m b
    fmap a -> b
    f StateT s m a
    m = (s -> m (b, s)) -> StateT s m b
    forall s (m :: * -> *) a. (s -> m (a, s)) -> StateT s m a
    StateT ((s -> m (b, s)) -> StateT s m b)
    -> (s -> m (b, s)) -> StateT s m b
    forall a b. (a -> b) -> a -> b
    $ \ s
    s ->
            ((a, s) -> (b, s)) -> m (a, s) -> m (b, s)
    forall a b. (a -> b) -> m a -> m b
    forall (f :: * -> *) a b. Functor f => (a -> b) -> f a -> f b
    fmap (\ (a
    a, s
    s') -> (a -> b
    f a
    a, s
    s')) (m (a, s) -> m (b, s)) -> m (a, s) -> m (b, s)
    forall a b. (a -> b) -> a -> b
    $ StateT s m a -> s -> m (a, s)
    forall s (m :: * -> *) a. StateT s m a -> s -> m (a, s)
    runStateT StateT s m a
    m s
    s
        {-# INLINE fmap #-}

    instance (Functor m, Monad m) => Applicative (StateT s m) where
        pure :: forall a. a -> StateT s m a
    pure a
    a = (s -> m (a, s)) -> StateT s m a
    forall s (m :: * -> *) a. (s -> m (a, s)) -> StateT s m a
    StateT ((s -> m (a, s)) -> StateT s m a)
    -> (s -> m (a, s)) -> StateT s m a
    forall a b. (a -> b) -> a -> b
    $ \ s
    s -> (a, s) -> m (a, s)
    forall a. a -> m a
    forall (m :: * -> *) a. Monad m => a -> m a
    return (a
    a, s
    s)
        {-# INLINE pure #-}
        StateT s -> m (a -> b, s)
    mf <*> :: forall a b. StateT s m (a -> b) -> StateT s m a -> StateT s m b
    <*> StateT s -> m (a, s)
    mx = (s -> m (b, s)) -> StateT s m b
    forall s (m :: * -> *) a. (s -> m (a, s)) -> StateT s m a
    StateT ((s -> m (b, s)) -> StateT s m b)
    -> (s -> m (b, s)) -> StateT s m b
    forall a b. (a -> b) -> a -> b
    $ \ s
    s -> do
            (a -> b
    f, s
    s') <- s -> m (a -> b, s)
    mf s
    s
            (a
    x, s
    s'') <- s -> m (a, s)
    mx s
    s'
            (b, s) -> m (b, s)
    forall a. a -> m a
    forall (m :: * -> *) a. Monad m => a -> m a
    return (a -> b
    f a
    x, s
    s'')
        {-# INLINE (<*>) #-}
        StateT s m a
    m *> :: forall a b. StateT s m a -> StateT s m b -> StateT s m b
    *> StateT s m b
    k = StateT s m a
    m StateT s m a -> (a -> StateT s m b) -> StateT s m b
    forall a b. StateT s m a -> (a -> StateT s m b) -> StateT s m b
    forall (m :: * -> *) a b. Monad m => m a -> (a -> m b) -> m b
    >>= \a
    _ -> StateT s m b
    k
        {-# INLINE (*>) #-}

    instance (Functor m, MonadPlus m) => Alternative (StateT s m) where
        empty :: forall a. StateT s m a
    empty = (s -> m (a, s)) -> StateT s m a
    forall s (m :: * -> *) a. (s -> m (a, s)) -> StateT s m a
    StateT ((s -> m (a, s)) -> StateT s m a)
    -> (s -> m (a, s)) -> StateT s m a
    forall a b. (a -> b) -> a -> b
    $ \ s
    _ -> m (a, s)
    forall a. m a
    forall (m :: * -> *) a. MonadPlus m => m a
    mzero
        {-# INLINE empty #-}
        StateT s -> m (a, s)
    m <|> :: forall a. StateT s m a -> StateT s m a -> StateT s m a
    <|> StateT s -> m (a, s)
    n = (s -> m (a, s)) -> StateT s m a
    forall s (m :: * -> *) a. (s -> m (a, s)) -> StateT s m a
    StateT ((s -> m (a, s)) -> StateT s m a)
    -> (s -> m (a, s)) -> StateT s m a
    forall a b. (a -> b) -> a -> b
    $ \ s
    s -> s -> m (a, s)
    m s
    s m (a, s) -> m (a, s) -> m (a, s)
    forall a. m a -> m a -> m a
    forall (m :: * -> *) a. MonadPlus m => m a -> m a -> m a
    `mplus` s -> m (a, s)
    n s
    s
        {-# INLINE (<|>) #-}

    instance (Monad m) => Monad (StateT s m) where
    #if !(MIN_VERSION_base(4,8,0))
        return a = StateT $ \ s -> return (a, s)
        {-# INLINE return #-}
    #endif
        StateT s m a
    m >>= :: forall a b. StateT s m a -> (a -> StateT s m b) -> StateT s m b
    >>= a -> StateT s m b
    k  = (s -> m (b, s)) -> StateT s m b
    forall s (m :: * -> *) a. (s -> m (a, s)) -> StateT s m a
    StateT ((s -> m (b, s)) -> StateT s m b)
    -> (s -> m (b, s)) -> StateT s m b
    forall a b. (a -> b) -> a -> b
    $ \ s
    s -> do
            (a
    a, s
    s') <- StateT s m a -> s -> m (a, s)
    forall s (m :: * -> *) a. StateT s m a -> s -> m (a, s)
    runStateT StateT s m a
    m s
    s
            StateT s m b -> s -> m (b, s)
    forall s (m :: * -> *) a. StateT s m a -> s -> m (a, s)
    runStateT (a -> StateT s m b
    k a
    a) s
    s'
        {-# INLINE (>>=) #-}
    #if !(MIN_VERSION_base(4,13,0))
        fail str = StateT $ \ _ -> fail str
        {-# INLINE fail #-}
    #endif

    #if MIN_VERSION_base(4,9,0)
    instance (Fail.MonadFail m) => Fail.MonadFail (StateT s m) where
        fail :: forall a. String -> StateT s m a
    fail String
    str = (s -> m (a, s)) -> StateT s m a
    forall s (m :: * -> *) a. (s -> m (a, s)) -> StateT s m a
    StateT ((s -> m (a, s)) -> StateT s m a)
    -> (s -> m (a, s)) -> StateT s m a
    forall a b. (a -> b) -> a -> b
    $ \ s
    _ -> String -> m (a, s)
    forall a. String -> m a
    forall (m :: * -> *) a. MonadFail m => String -> m a
    Fail.fail String
    str
        {-# INLINE fail #-}
    #endif

    instance (MonadPlus m) => MonadPlus (StateT s m) where
        mzero :: forall a. StateT s m a
    mzero       = (s -> m (a, s)) -> StateT s m a
    forall s (m :: * -> *) a. (s -> m (a, s)) -> StateT s m a
    StateT ((s -> m (a, s)) -> StateT s m a)
    -> (s -> m (a, s)) -> StateT s m a
    forall a b. (a -> b) -> a -> b
    $ \ s
    _ -> m (a, s)
    forall a. m a
    forall (m :: * -> *) a. MonadPlus m => m a
    mzero
        {-# INLINE mzero #-}
        StateT s -> m (a, s)
    m mplus :: forall a. StateT s m a -> StateT s m a -> StateT s m a
    `mplus` StateT s -> m (a, s)
    n = (s -> m (a, s)) -> StateT s m a
    forall s (m :: * -> *) a. (s -> m (a, s)) -> StateT s m a
    StateT ((s -> m (a, s)) -> StateT s m a)
    -> (s -> m (a, s)) -> StateT s m a
    forall a b. (a -> b) -> a -> b
    $ \ s
    s -> s -> m (a, s)
    m s
    s m (a, s) -> m (a, s) -> m (a, s)
    forall a. m a -> m a -> m a
    forall (m :: * -> *) a. MonadPlus m => m a -> m a -> m a
    `mplus` s -> m (a, s)
    n s
    s
        {-# INLINE mplus #-}

    instance (MonadFix m) => MonadFix (StateT s m) where
        mfix :: forall a. (a -> StateT s m a) -> StateT s m a
    mfix a -> StateT s m a
    f = (s -> m (a, s)) -> StateT s m a
    forall s (m :: * -> *) a. (s -> m (a, s)) -> StateT s m a
    StateT ((s -> m (a, s)) -> StateT s m a)
    -> (s -> m (a, s)) -> StateT s m a
    forall a b. (a -> b) -> a -> b
    $ \ s
    s -> ((a, s) -> m (a, s)) -> m (a, s)
    forall a. (a -> m a) -> m a
    forall (m :: * -> *) a. MonadFix m => (a -> m a) -> m a
    mfix (((a, s) -> m (a, s)) -> m (a, s))
    -> ((a, s) -> m (a, s)) -> m (a, s)
    forall a b. (a -> b) -> a -> b
    $ \ ~(a
    a, s
    _) -> StateT s m a -> s -> m (a, s)
    forall s (m :: * -> *) a. StateT s m a -> s -> m (a, s)
    runStateT (a -> StateT s m a
    f a
    a) s
    s
        {-# INLINE mfix #-}

    instance MonadTrans (StateT s) where
        lift :: forall (m :: * -> *) a. Monad m => m a -> StateT s m a
    lift m a
    m = (s -> m (a, s)) -> StateT s m a
    forall s (m :: * -> *) a. (s -> m (a, s)) -> StateT s m a
    StateT ((s -> m (a, s)) -> StateT s m a)
    -> (s -> m (a, s)) -> StateT s m a
    forall a b. (a -> b) -> a -> b
    $ \ s
    s -> do
            a
    a <- m a
    m
            (a, s) -> m (a, s)
    forall a. a -> m a
    forall (m :: * -> *) a. Monad m => a -> m a
    return (a
    a, s
    s)
        {-# INLINE lift #-}

    instance (MonadIO m) => MonadIO (StateT s m) where
        liftIO :: forall a. IO a -> StateT s m a
    liftIO = m a -> StateT s m a
    forall (m :: * -> *) a. Monad m => m a -> StateT s m a
    forall (t :: (* -> *) -> * -> *) (m :: * -> *) a.
    (MonadTrans t, Monad m) =>
    m a -> t m a
    lift (m a -> StateT s m a) -> (IO a -> m a) -> IO a -> StateT s m a
    forall b c a. (b -> c) -> (a -> b) -> a -> c
    . IO a -> m a
    forall a. IO a -> m a
    forall (m :: * -> *) a. MonadIO m => IO a -> m a
    liftIO
        {-# INLINE liftIO #-}

    #if MIN_VERSION_base(4,12,0)
    instance Contravariant m => Contravariant (StateT s m) where
        contramap :: forall a' a. (a' -> a) -> StateT s m a -> StateT s m a'
    contramap a' -> a
    f StateT s m a
    m = (s -> m (a', s)) -> StateT s m a'
    forall s (m :: * -> *) a. (s -> m (a, s)) -> StateT s m a
    StateT ((s -> m (a', s)) -> StateT s m a')
    -> (s -> m (a', s)) -> StateT s m a'
    forall a b. (a -> b) -> a -> b
    $ \s
    s ->
          ((a', s) -> (a, s)) -> m (a, s) -> m (a', s)
    forall a' a. (a' -> a) -> m a -> m a'
    forall (f :: * -> *) a' a.
    Contravariant f =>
    (a' -> a) -> f a -> f a'
    contramap (\ (a'
    a, s
    s') -> (a' -> a
    f a'
    a, s
    s')) (m (a, s) -> m (a', s)) -> m (a, s) -> m (a', s)
    forall a b. (a -> b) -> a -> b
    $ StateT s m a -> s -> m (a, s)
    forall s (m :: * -> *) a. StateT s m a -> s -> m (a, s)
    runStateT StateT s m a
    m s
    s
        {-# INLINE contramap #-}
    #endif

    -- | Fetch the current value of the state within the monad.
    get :: (Monad m) => StateT s m s
    get :: forall (m :: * -> *) s. Monad m => StateT s m s
    get = (s -> (s, s)) -> StateT s m s
    forall (m :: * -> *) s a. Monad m => (s -> (a, s)) -> StateT s m a
    state ((s -> (s, s)) -> StateT s m s) -> (s -> (s, s)) -> StateT s m s
    forall a b. (a -> b) -> a -> b
    $ \ s
    s -> (s
    s, s
    s)
    {-# INLINE get #-}

    -- | @'put' s@ sets the state within the monad to @s@.
    put :: (Monad m) => s -> StateT s m ()
    put :: forall (m :: * -> *) s. Monad m => s -> StateT s m ()
    put s
    s = (s -> ((), s)) -> StateT s m ()
    forall (m :: * -> *) s a. Monad m => (s -> (a, s)) -> StateT s m a
    state ((s -> ((), s)) -> StateT s m ())
    -> (s -> ((), s)) -> StateT s m ()
    forall a b. (a -> b) -> a -> b
    $ \ s
    _ -> ((), s
    s)
    {-# INLINE put #-}

    -- | @'modify' f@ is an action that updates the state to the result of
    -- applying @f@ to the current state.
    --
    -- * @'modify' f = 'get' >>= ('put' . f)@
    modify :: (Monad m) => (s -> s) -> StateT s m ()
    modify :: forall (m :: * -> *) s. Monad m => (s -> s) -> StateT s m ()
    modify s -> s
    f = (s -> ((), s)) -> StateT s m ()
    forall (m :: * -> *) s a. Monad m => (s -> (a, s)) -> StateT s m a
    state ((s -> ((), s)) -> StateT s m ())
    -> (s -> ((), s)) -> StateT s m ()
    forall a b. (a -> b) -> a -> b
    $ \ s
    s -> ((), s -> s
    f s
    s)
    {-# INLINE modify #-}

    -- | A variant of 'modify' in which the computation is strict in the
    -- new state.
    --
    -- * @'modify'' f = 'get' >>= (('$!') 'put' . f)@
    modify' :: (Monad m) => (s -> s) -> StateT s m ()
    modify' :: forall (m :: * -> *) s. Monad m => (s -> s) -> StateT s m ()
    modify' s -> s
    f = do
        s
    s <- StateT s m s
    forall (m :: * -> *) s. Monad m => StateT s m s
    get
        s -> StateT s m ()
    forall (m :: * -> *) s. Monad m => s -> StateT s m ()
    put (s -> StateT s m ()) -> s -> StateT s m ()
    forall a b. (a -> b) -> a -> b
    $! s -> s
    f s
    s
    {-# INLINE modify' #-}

    -- | Get a specific component of the state, using a projection function
    -- supplied.
    --
    -- * @'gets' f = 'liftM' f 'get'@
    gets :: (Monad m) => (s -> a) -> StateT s m a
    gets :: forall (m :: * -> *) s a. Monad m => (s -> a) -> StateT s m a
    gets s -> a
    f = (s -> (a, s)) -> StateT s m a
    forall (m :: * -> *) s a. Monad m => (s -> (a, s)) -> StateT s m a
    state ((s -> (a, s)) -> StateT s m a) -> (s -> (a, s)) -> StateT s m a
    forall a b. (a -> b) -> a -> b
    $ \ s
    s -> (s -> a
    f s
    s, s
    s)
    {-# INLINE gets #-}

    -- | Uniform lifting of a @callCC@ operation to the new monad.
    -- This version rolls back to the original state on entering the
    -- continuation.
    liftCallCC :: CallCC m (a,s) (b,s) -> CallCC (StateT s m) a b
    liftCallCC :: forall (m :: * -> *) a s b.
    CallCC m (a, s) (b, s) -> CallCC (StateT s m) a b
    liftCallCC CallCC m (a, s) (b, s)
    callCC (a -> StateT s m b) -> StateT s m a
    f = (s -> m (a, s)) -> StateT s m a
    forall s (m :: * -> *) a. (s -> m (a, s)) -> StateT s m a
    StateT ((s -> m (a, s)) -> StateT s m a)
    -> (s -> m (a, s)) -> StateT s m a
    forall a b. (a -> b) -> a -> b
    $ \ s
    s ->
        CallCC m (a, s) (b, s)
    callCC CallCC m (a, s) (b, s) -> CallCC m (a, s) (b, s)
    forall a b. (a -> b) -> a -> b
    $ \ (a, s) -> m (b, s)
    c ->
        StateT s m a -> s -> m (a, s)
    forall s (m :: * -> *) a. StateT s m a -> s -> m (a, s)
    runStateT ((a -> StateT s m b) -> StateT s m a
    f (\ a
    a -> (s -> m (b, s)) -> StateT s m b
    forall s (m :: * -> *) a. (s -> m (a, s)) -> StateT s m a
    StateT ((s -> m (b, s)) -> StateT s m b)
    -> (s -> m (b, s)) -> StateT s m b
    forall a b. (a -> b) -> a -> b
    $ \ s
    _ -> (a, s) -> m (b, s)
    c (a
    a, s
    s))) s
    s
    {-# INLINE liftCallCC #-}

    -- | In-situ lifting of a @callCC@ operation to the new monad.
    -- This version uses the current state on entering the continuation.
    -- It does not satisfy the uniformity property (see "Control.Monad.Signatures").
    liftCallCC' :: CallCC m (a,s) (b,s) -> CallCC (StateT s m) a b
    liftCallCC' :: forall (m :: * -> *) a s b.
    CallCC m (a, s) (b, s) -> CallCC (StateT s m) a b
    liftCallCC' CallCC m (a, s) (b, s)
    callCC (a -> StateT s m b) -> StateT s m a
    f = (s -> m (a, s)) -> StateT s m a
    forall s (m :: * -> *) a. (s -> m (a, s)) -> StateT s m a
    StateT ((s -> m (a, s)) -> StateT s m a)
    -> (s -> m (a, s)) -> StateT s m a
    forall a b. (a -> b) -> a -> b
    $ \ s
    s ->
        CallCC m (a, s) (b, s)
    callCC CallCC m (a, s) (b, s) -> CallCC m (a, s) (b, s)
    forall a b. (a -> b) -> a -> b
    $ \ (a, s) -> m (b, s)
    c ->
        StateT s m a -> s -> m (a, s)
    forall s (m :: * -> *) a. StateT s m a -> s -> m (a, s)
    runStateT ((a -> StateT s m b) -> StateT s m a
    f (\ a
    a -> (s -> m (b, s)) -> StateT s m b
    forall s (m :: * -> *) a. (s -> m (a, s)) -> StateT s m a
    StateT ((s -> m (b, s)) -> StateT s m b)
    -> (s -> m (b, s)) -> StateT s m b
    forall a b. (a -> b) -> a -> b
    $ \ s
    s' -> (a, s) -> m (b, s)
    c (a
    a, s
    s'))) s
    s
    {-# INLINE liftCallCC' #-}

    -- | Lift a @catchE@ operation to the new monad.
    liftCatch :: Catch e m (a,s) -> Catch e (StateT s m) a
    liftCatch :: forall e (m :: * -> *) a s.
    Catch e m (a, s) -> Catch e (StateT s m) a
    liftCatch Catch e m (a, s)
    catchE StateT s m a
    m e -> StateT s m a
    h =
        (s -> m (a, s)) -> StateT s m a
    forall s (m :: * -> *) a. (s -> m (a, s)) -> StateT s m a
    StateT ((s -> m (a, s)) -> StateT s m a)
    -> (s -> m (a, s)) -> StateT s m a
    forall a b. (a -> b) -> a -> b
    $ \ s
    s -> StateT s m a -> s -> m (a, s)
    forall s (m :: * -> *) a. StateT s m a -> s -> m (a, s)
    runStateT StateT s m a
    m s
    s Catch e m (a, s)
    `catchE` \ e
    e -> StateT s m a -> s -> m (a, s)
    forall s (m :: * -> *) a. StateT s m a -> s -> m (a, s)
    runStateT (e -> StateT s m a
    h e
    e) s
    s
    {-# INLINE liftCatch #-}

    -- | Lift a @listen@ operation to the new monad.
    liftListen :: (Monad m) => Listen w m (a,s) -> Listen w (StateT s m) a
    liftListen :: forall (m :: * -> *) w a s.
    Monad m =>
    Listen w m (a, s) -> Listen w (StateT s m) a
    liftListen Listen w m (a, s)
    listen StateT s m a
    m = (s -> m ((a, w), s)) -> StateT s m (a, w)
    forall s (m :: * -> *) a. (s -> m (a, s)) -> StateT s m a
    StateT ((s -> m ((a, w), s)) -> StateT s m (a, w))
    -> (s -> m ((a, w), s)) -> StateT s m (a, w)
    forall a b. (a -> b) -> a -> b
    $ \ s
    s -> do
        ((a
    a, s
    s'), w
    w) <- Listen w m (a, s)
    listen (StateT s m a -> s -> m (a, s)
    forall s (m :: * -> *) a. StateT s m a -> s -> m (a, s)
    runStateT StateT s m a
    m s
    s)
        ((a, w), s) -> m ((a, w), s)
    forall a. a -> m a
    forall (m :: * -> *) a. Monad m => a -> m a
    return ((a
    a, w
    w), s
    s')
    {-# INLINE liftListen #-}

    -- | Lift a @pass@ operation to the new monad.
    liftPass :: (Monad m) => Pass w m (a,s) -> Pass w (StateT s m) a
    liftPass :: forall (m :: * -> *) w a s.
    Monad m =>
    Pass w m (a, s) -> Pass w (StateT s m) a
    liftPass Pass w m (a, s)
    pass StateT s m (a, w -> w)
    m = (s -> m (a, s)) -> StateT s m a
    forall s (m :: * -> *) a. (s -> m (a, s)) -> StateT s m a
    StateT ((s -> m (a, s)) -> StateT s m a)
    -> (s -> m (a, s)) -> StateT s m a
    forall a b. (a -> b) -> a -> b
    $ \ s
    s -> Pass w m (a, s)
    pass Pass w m (a, s) -> Pass w m (a, s)
    forall a b. (a -> b) -> a -> b
    $ do
        ((a
    a, w -> w
    f), s
    s') <- StateT s m (a, w -> w) -> s -> m ((a, w -> w), s)
    forall s (m :: * -> *) a. StateT s m a -> s -> m (a, s)
    runStateT StateT s m (a, w -> w)
    m s
    s
        ((a, s), w -> w) -> m ((a, s), w -> w)
    forall a. a -> m a
    forall (m :: * -> *) a. Monad m => a -> m a
    return ((a
    a, s
    s'), w -> w
    f)
    {-# INLINE liftPass #-}

    {- $examples

    Parser from ParseLib with Hugs:

    > type Parser a = StateT String [] a
    >    ==> StateT (String -> [(a,String)])

    For example, item can be written as:

    > item = do (x:xs) <- get
    >        put xs
    >        return x
    >
    > type BoringState s a = StateT s Identity a
    >      ==> StateT (s -> Identity (a,s))
    >
    > type StateWithIO s a = StateT s IO a
    >      ==> StateT (s -> IO (a,s))
    >
    > type StateWithErr s a = StateT s Maybe a
    >      ==> StateT (s -> Maybe (a,s))

    -}

    {- $counting

    A function to increment a counter.
    Taken from the paper \"Generalising Monads to Arrows\",
    John Hughes (<http://www.cse.chalmers.se/~rjmh/>), November 1998:

    > tick :: State Int Int
    > tick = do n <- get
    >           put (n+1)
    >           return n

    Add one to the given number using the state monad:

    > plusOne :: Int -> Int
    > plusOne n = execState tick n

    A contrived addition example. Works only with positive numbers:

    > plus :: Int -> Int -> Int
    > plus n x = execState (sequence $ replicate n tick) x

    -}

    {- $labelling

    An example from /The Craft of Functional Programming/, Simon
    Thompson (<http://www.cs.kent.ac.uk/people/staff/sjt/>),
    Addison-Wesley 1999: \"Given an arbitrary tree, transform it to a
    tree of integers in which the original elements are replaced by
    natural numbers, starting from 0.  The same element has to be
    replaced by the same number at every occurrence, and when we meet
    an as-yet-unvisited element we have to find a \'new\' number to match
    it with:\"

    > data Tree a = Nil | Node a (Tree a) (Tree a) deriving (Show, Eq)
    > type Table a = [a]

    > numberTree :: Eq a => Tree a -> State (Table a) (Tree Int)
    > numberTree Nil = return Nil
    > numberTree (Node x t1 t2) = do
    >     num <- numberNode x
    >     nt1 <- numberTree t1
    >     nt2 <- numberTree t2
    >     return (Node num nt1 nt2)
    >   where
    >     numberNode :: Eq a => a -> State (Table a) Int
    >     numberNode x = do
    >         table <- get
    >         case elemIndex x table of
    >             Nothing -> do
    >                 put (table ++ [x])
    >                 return (length table)
    >             Just i -> return i

    numTree applies numberTree with an initial state:

    > numTree :: (Eq a) => Tree a -> Tree Int
    > numTree t = evalState (numberTree t) []

    > testTree = Node "Zero" (Node "One" (Node "Two" Nil Nil) (Node "One" (Node "Zero" Nil Nil) Nil)) Nil
    > numTree testTree => Node 0 (Node 1 (Node 2 Nil Nil) (Node 1 (Node 0 Nil Nil) Nil)) Nil

    -}