Free.hs

{-# LANGUAGE CPP #-}
{-# LANGUAGE FlexibleInstances #-}
{-# LANGUAGE UndecidableInstances #-}
{-# LANGUAGE MultiParamTypeClasses #-}
{-# LANGUAGE StandaloneDeriving #-}
{-# LANGUAGE Rank2Types #-}
#if __GLASGOW_HASKELL__ >= 707
{-# LANGUAGE DeriveDataTypeable #-}
{-# LANGUAGE DeriveGeneric #-}
#endif
#include "free-common.h"

-----------------------------------------------------------------------------
-- |
-- Module      :  Control.Monad.Trans.Free
-- Copyright   :  (C) 2008-2013 Edward Kmett
-- License     :  BSD-style (see the file LICENSE)
--
-- Maintainer  :  Edward Kmett <ekmett@gmail.com>
-- Stability   :  provisional
-- Portability :  MPTCs, fundeps
--
-- The free monad transformer
--
----------------------------------------------------------------------------
module Control.Monad.Trans.Free
  (
  -- * The base functor
    FreeF(..)
  -- * The free monad transformer
  , FreeT(..)
  -- * The free monad
  , Free, free, runFree
  -- * Operations
  , liftF
  , iterT
  , iterTM
  , hoistFreeT
  , foldFreeT
  , transFreeT
  , joinFreeT
  , cutoff
  , partialIterT
  , intersperseT
  , intercalateT
  , retractT
  -- * Operations of free monad
  , retract
  , iter
  , iterM
  -- * Free Monads With Class
  , MonadFree(..)
  ) where

import Control.Applicative
import Control.Monad (liftM, MonadPlus(..), ap, join)
import Control.Monad.Base (MonadBase(..))
import Control.Monad.Catch (MonadThrow(..), MonadCatch(..))
import Control.Monad.Trans.Class
import Control.Monad.Free.Class
import qualified Control.Monad.Fail as Fail
import Control.Monad.IO.Class
import Control.Monad.Reader.Class
import Control.Monad.Writer.Class
import Control.Monad.State.Class
import Control.Monad.Error.Class
import Control.Monad.Cont.Class
import Data.Functor.Bind hiding (join)
import Data.Functor.Classes.Compat
import Data.Functor.Identity
import Data.Traversable
import Data.Bifunctor
import Data.Bifoldable
import Data.Bitraversable
import Data.Data
#if __GLASGOW_HASKELL__ >= 707
import GHC.Generics
#endif

#if !(MIN_VERSION_base(4,8,0))
import Data.Foldable
import Data.Monoid
#endif

-- | The base functor for a free monad.
data FreeF f a b = Pure a | Free (f b)
  deriving (Eq,Ord,Show,Read
#if __GLASGOW_HASKELL__ >= 707
           ,Typeable ,Generic ,Generic1
#endif
           )

#ifdef LIFTED_FUNCTOR_CLASSES
instance Show1 f => Show2 (FreeF f) where
  liftShowsPrec2 spa _sla _spb _slb d (Pure a) =
    showsUnaryWith spa "Pure" d a
  liftShowsPrec2 _spa _sla spb slb d (Free as) =
    showsUnaryWith (liftShowsPrec spb slb) "Free" d as

instance (Show1 f, Show a) => Show1 (FreeF f a) where
  liftShowsPrec = liftShowsPrec2 showsPrec showList
#else
instance (Show1 f, Show a) => Show1 (FreeF f a) where
  showsPrec1 d (Pure a)  = showParen (d > 10) $ showString "Pure " . showsPrec 11 a
  showsPrec1 d (Free as) = showParen (d > 10) $ showString "Free " . showsPrec1 11 as
#endif

#ifdef LIFTED_FUNCTOR_CLASSES
instance Read1 f => Read2 (FreeF f) where
  liftReadsPrec2 rpa _rla rpb rlb = readsData $
    readsUnaryWith rpa "Pure" Pure `mappend`
    readsUnaryWith (liftReadsPrec rpb rlb) "Free" Free

instance (Read1 f, Read a) => Read1 (FreeF f a) where
  liftReadsPrec = liftReadsPrec2 readsPrec readList
#else
instance (Read1 f, Read a) => Read1 (FreeF f a) where
  readsPrec1 d r = readParen (d > 10)
      (\r' -> [ (Pure m, t)
             | ("Pure", s) <- lex r'
             , (m, t) <- readsPrec 11 s]) r
    ++ readParen (d > 10)
      (\r' -> [ (Free m, t)
             | ("Free", s) <- lex r'
             , (m, t) <- readsPrec1 11 s]) r
#endif

#ifdef LIFTED_FUNCTOR_CLASSES
instance Eq1 f => Eq2 (FreeF f) where
  liftEq2 eq _ (Pure a) (Pure b) = eq a b
  liftEq2 _ eq (Free as) (Free bs) = liftEq eq as bs
  liftEq2 _ _ _ _ = False

instance (Eq1 f, Eq a) => Eq1 (FreeF f a) where
  liftEq = liftEq2 (==)
#else
instance (Eq1 f, Eq a) => Eq1 (FreeF f a) where
  Pure a  `eq1` Pure b = a == b
  Free as `eq1` Free bs = as `eq1` bs
  _       `eq1` _ = False
#endif

#ifdef LIFTED_FUNCTOR_CLASSES
instance Ord1 f => Ord2 (FreeF f) where
  liftCompare2 cmp _ (Pure a) (Pure b) = cmp a b
  liftCompare2 _ _ (Pure _) (Free _) = LT
  liftCompare2 _ _ (Free _) (Pure _) = GT
  liftCompare2 _ cmp (Free fa) (Free fb) = liftCompare cmp fa fb

instance (Ord1 f, Ord a) => Ord1 (FreeF f a) where
  liftCompare = liftCompare2 compare
#else
instance (Ord1 f, Ord a) => Ord1 (FreeF f a) where
  Pure a `compare1` Pure b = a `compare` b
  Pure _ `compare1` Free _ = LT
  Free _ `compare1` Pure _ = GT
  Free fa `compare1` Free fb = fa `compare1` fb
#endif

instance Functor f => Functor (FreeF f a) where
  fmap _ (Pure a)  = Pure a
  fmap f (Free as) = Free (fmap f as)
  {-# INLINE fmap #-}

instance Foldable f => Foldable (FreeF f a) where
  foldMap f (Free as) = foldMap f as
  foldMap _ _         = mempty
  {-# INLINE foldMap #-}

instance Traversable f => Traversable (FreeF f a) where
  traverse _ (Pure a)  = pure (Pure a)
  traverse f (Free as) = Free <$> traverse f as
  {-# INLINE traverse #-}

instance Functor f => Bifunctor (FreeF f) where
  bimap f _ (Pure a)  = Pure (f a)
  bimap _ g (Free as) = Free (fmap g as)
  {-# INLINE bimap #-}

instance Foldable f => Bifoldable (FreeF f) where
  bifoldMap f _ (Pure a)  = f a
  bifoldMap _ g (Free as) = foldMap g as
  {-# INLINE bifoldMap #-}

instance Traversable f => Bitraversable (FreeF f) where
  bitraverse f _ (Pure a)  = Pure <$> f a
  bitraverse _ g (Free as) = Free <$> traverse g as
  {-# INLINE bitraverse #-}

transFreeF :: (forall x. f x -> g x) -> FreeF f a b -> FreeF g a b
transFreeF _ (Pure a) = Pure a
transFreeF t (Free as) = Free (t as)
{-# INLINE transFreeF #-}

-- | The \"free monad transformer\" for a functor @f@
newtype FreeT f m a = FreeT { runFreeT :: m (FreeF f a (FreeT f m a)) }

-- | The \"free monad\" for a functor @f@.
type Free f = FreeT f Identity

-- | Evaluates the first layer out of a free monad value.
runFree :: Free f a -> FreeF f a (Free f a)
runFree = runIdentity . runFreeT
{-# INLINE runFree #-}

-- | Pushes a layer into a free monad value.
free :: FreeF f a (Free f a) -> Free f a
free = FreeT . Identity
{-# INLINE free #-}

#ifdef LIFTED_FUNCTOR_CLASSES
instance (Eq1 f, Eq1 m, Eq a) => Eq (FreeT f m a) where
#else
instance (Functor f, Eq1 f, Functor m, Eq1 m, Eq a)=> Eq (FreeT f m a) where
#endif
    (==) = eq1

#ifdef LIFTED_FUNCTOR_CLASSES
instance (Eq1 f, Eq1 m) => Eq1 (FreeT f m) where
  liftEq eq = go
    where
      go (FreeT x) (FreeT y) = liftEq (liftEq2 eq go) x y
#else
instance (Functor f, Eq1 f, Functor m, Eq1 m) => Eq1 (FreeT f m) where
  eq1 = on eq1 (fmap (Lift1 . fmap Lift1) . runFreeT)
#endif

#ifdef LIFTED_FUNCTOR_CLASSES
instance (Ord1 f, Ord1 m, Ord a) => Ord (FreeT f m a) where
#else
instance (Functor f, Ord1 f, Functor m, Ord1 m, Ord a) => Ord (FreeT f m a) where
#endif
    compare = compare1

#ifdef LIFTED_FUNCTOR_CLASSES
instance (Ord1 f, Ord1 m) => Ord1 (FreeT f m) where
  liftCompare cmp = go
    where
      go (FreeT x) (FreeT y) = liftCompare (liftCompare2 cmp go) x y
#else
instance (Functor f, Ord1 f, Functor m, Ord1 m) => Ord1 (FreeT f m) where
  compare1 = on compare1 (fmap (Lift1 . fmap Lift1) . runFreeT)
#endif

#ifdef LIFTED_FUNCTOR_CLASSES
instance (Show1 f, Show1 m) => Show1 (FreeT f m) where
  liftShowsPrec sp sl = go
    where
      goList = liftShowList sp sl
      go d (FreeT x) = showsUnaryWith
        (liftShowsPrec (liftShowsPrec2 sp sl go goList) (liftShowList2 sp sl go goList))
        "FreeT" d x
#else
instance (Functor f, Show1 f, Functor m, Show1 m) => Show1 (FreeT f m) where
  showsPrec1 d (FreeT m) = showParen (d > 10) $
    showString "FreeT " . showsPrec1 11 (Lift1 . fmap Lift1 <$> m)
#endif

#ifdef LIFTED_FUNCTOR_CLASSES
instance (Show1 f, Show1 m, Show a) => Show (FreeT f m a) where
#else
instance (Functor f, Show1 f, Functor m, Show1 m, Show a) => Show (FreeT f m a) where
#endif
  showsPrec = showsPrec1

#ifdef LIFTED_FUNCTOR_CLASSES
instance (Read1 f, Read1 m) => Read1 (FreeT f m) where
  liftReadsPrec rp rl = go
    where
      goList = liftReadList rp rl
      go = readsData $ readsUnaryWith
        (liftReadsPrec (liftReadsPrec2 rp rl go goList) (liftReadList2 rp rl go goList))
        "FreeT" FreeT
#else
instance (Functor f, Read1 f, Functor m, Read1 m) => Read1 (FreeT f m) where
  readsPrec1 d =  readParen (d > 10) $ \r ->
    [ (FreeT (fmap lower1 . lower1 <$> m),t) | ("FreeT",s) <- lex r, (m,t) <- readsPrec1 11 s]
#endif

#ifdef LIFTED_FUNCTOR_CLASSES
instance (Read1 f, Read1 m, Read a) => Read (FreeT f m a) where
#else
instance (Functor f, Read1 f, Functor m, Read1 m, Read a) => Read (FreeT f m a) where
#endif
  readsPrec = readsPrec1

instance (Functor f, Monad m) => Functor (FreeT f m) where
  fmap f (FreeT m) = FreeT (liftM f' m) where
    f' (Pure a)  = Pure (f a)
    f' (Free as) = Free (fmap (fmap f) as)

instance (Functor f, Monad m) => Applicative (FreeT f m) where
  pure a = FreeT (return (Pure a))
  {-# INLINE pure #-}
  (<*>) = ap
  {-# INLINE (<*>) #-}

instance (Functor f, Monad m) => Apply (FreeT f m) where
  (<.>) = (<*>)

instance (Functor f, Monad m) => Bind (FreeT f m) where
  (>>-) = (>>=)

instance (Functor f, Monad m) => Monad (FreeT f m) where
  return = pure
  {-# INLINE return #-}
  FreeT m >>= f = FreeT $ m >>= \v -> case v of
    Pure a -> runFreeT (f a)
    Free w -> return (Free (fmap (>>= f) w))

#if !MIN_VERSION_base(4,13,0)
  fail e = FreeT (fail e)
#endif

instance (Functor f, Fail.MonadFail m) => Fail.MonadFail (FreeT f m) where
  fail e = FreeT (Fail.fail e)

instance MonadTrans (FreeT f) where
  lift = FreeT . liftM Pure
  {-# INLINE lift #-}

instance (Functor f, MonadIO m) => MonadIO (FreeT f m) where
  liftIO = lift . liftIO
  {-# INLINE liftIO #-}

instance (Functor f, MonadBase b m) => MonadBase b (FreeT f m) where
  liftBase = lift . liftBase
  {-# INLINE liftBase #-}

instance (Functor f, MonadReader r m) => MonadReader r (FreeT f m) where
  ask = lift ask
  {-# INLINE ask #-}
  local f = hoistFreeT (local f)
  {-# INLINE local #-}

instance (Functor f, MonadWriter w m) => MonadWriter w (FreeT f m) where
  tell = lift . tell
  {-# INLINE tell #-}
  listen (FreeT m) = FreeT $ liftM concat' $ listen (fmap listen `liftM` m)
    where
      concat' (Pure x, w) = Pure (x, w)
      concat' (Free y, w) = Free $ fmap (second (w `mappend`)) <$> y
  pass m = FreeT . pass' . runFreeT . hoistFreeT clean $ listen m
    where
      clean = pass . liftM (\x -> (x, const mempty))
      pass' = join . liftM g
      g (Pure ((x, f), w)) = tell (f w) >> return (Pure x)
      g (Free f)           = return . Free . fmap (FreeT . pass' . runFreeT) $ f
#if MIN_VERSION_mtl(2,1,1)
  writer w = lift (writer w)
  {-# INLINE writer #-}
#endif

instance (Functor f, MonadState s m) => MonadState s (FreeT f m) where
  get = lift get
  {-# INLINE get #-}
  put = lift . put
  {-# INLINE put #-}
#if MIN_VERSION_mtl(2,1,1)
  state f = lift (state f)
  {-# INLINE state #-}
#endif

instance (Functor f, MonadError e m) => MonadError e (FreeT f m) where
  throwError = lift . throwError
  {-# INLINE throwError #-}
  FreeT m `catchError` f = FreeT $ liftM (fmap (`catchError` f)) m `catchError` (runFreeT . f)

instance (Functor f, MonadCont m) => MonadCont (FreeT f m) where
  callCC f = FreeT $ callCC (\k -> runFreeT $ f (lift . k . Pure))

instance (Functor f, MonadPlus m) => Alternative (FreeT f m) where
  empty = FreeT mzero
  FreeT ma <|> FreeT mb = FreeT (mplus ma mb)
  {-# INLINE (<|>) #-}

instance (Functor f, MonadPlus m) => MonadPlus (FreeT f m) where
  mzero = FreeT mzero
  {-# INLINE mzero #-}
  mplus (FreeT ma) (FreeT mb) = FreeT (mplus ma mb)
  {-# INLINE mplus #-}

instance (Functor f, Monad m) => MonadFree f (FreeT f m) where
  wrap = FreeT . return . Free
  {-# INLINE wrap #-}

instance (Functor f, MonadThrow m) => MonadThrow (FreeT f m) where
  throwM = lift . throwM
  {-# INLINE throwM #-}

instance (Functor f, MonadCatch m) => MonadCatch (FreeT f m) where
  FreeT m `catch` f = FreeT $ liftM (fmap (`Control.Monad.Catch.catch` f)) m
                                `Control.Monad.Catch.catch` (runFreeT . f)
  {-# INLINE catch #-}

-- | Tear down a free monad transformer using iteration.
iterT :: (Functor f, Monad m) => (f (m a) -> m a) -> FreeT f m a -> m a
iterT f (FreeT m) = do
    val <- m
    case fmap (iterT f) val of
        Pure x -> return x
        Free y -> f y

-- | Tear down a free monad transformer using iteration over a transformer.
iterTM :: (Functor f, Monad m, MonadTrans t, Monad (t m)) => (f (t m a) -> t m a) -> FreeT f m a -> t m a
iterTM f (FreeT m) = do
    val <- lift m
    case fmap (iterTM f) val of
        Pure x -> return x
        Free y -> f y

instance (Foldable m, Foldable f) => Foldable (FreeT f m) where
  foldMap f (FreeT m) = foldMap (bifoldMap f (foldMap f)) m

instance (Monad m, Traversable m, Traversable f) => Traversable (FreeT f m) where
  traverse f (FreeT m) = FreeT <$> traverse (bitraverse f (traverse f)) m

-- | Lift a monad homomorphism from @m@ to @n@ into a monad homomorphism from @'FreeT' f m@ to @'FreeT' f n@
--
-- @'hoistFreeT' :: ('Monad' m, 'Functor' f) => (m ~> n) -> 'FreeT' f m ~> 'FreeT' f n@
hoistFreeT :: (Monad m, Functor f) => (forall a. m a -> n a) -> FreeT f m b -> FreeT f n b
hoistFreeT mh = FreeT . mh . liftM (fmap (hoistFreeT mh)) . runFreeT

-- | The very definition of a free monad transformer is that given a natural
-- transformation you get a monad transformer homomorphism.
foldFreeT :: (MonadTrans t, Monad (t m), Monad m)
          => (forall n x. Monad n => f x -> t n x) -> FreeT f m a -> t m a
foldFreeT f (FreeT m) = lift m >>= foldFreeF
  where
    foldFreeF (Pure a) = return a
    foldFreeF (Free as) = f as >>= foldFreeT f

-- | Lift a natural transformation from @f@ to @g@ into a monad homomorphism from @'FreeT' f m@ to @'FreeT' g m@
transFreeT :: (Monad m, Functor g) => (forall a. f a -> g a) -> FreeT f m b -> FreeT g m b
transFreeT nt = FreeT . liftM (fmap (transFreeT nt) . transFreeF nt) . runFreeT

-- | Pull out and join @m@ layers of @'FreeT' f m a@.
joinFreeT :: (Monad m, Traversable f) => FreeT f m a -> m (Free f a)
joinFreeT (FreeT m) = m >>= joinFreeF
  where
    joinFreeF (Pure x) = return (return x)
    joinFreeF (Free f) = wrap `liftM` Data.Traversable.mapM joinFreeT f

-- |
-- 'retract' is the left inverse of 'liftF'
--
-- @
-- 'retract' . 'liftF' = 'id'
-- @
retract :: Monad f => Free f a -> f a
retract m =
  case runIdentity (runFreeT m) of
    Pure a  -> return a
    Free as -> as >>= retract

-- | Tear down a 'Free' 'Monad' using iteration.
iter :: Functor f => (f a -> a) -> Free f a -> a
iter phi = runIdentity . iterT (Identity . phi . fmap runIdentity)

-- | Like 'iter' for monadic values.
iterM :: (Functor f, Monad m) => (f (m a) -> m a) -> Free f a -> m a
iterM phi = iterT phi . hoistFreeT (return . runIdentity)

-- | Cuts off a tree of computations at a given depth.
-- If the depth is @0@ or less, no computation nor
-- monadic effects will take place.
--
-- Some examples (@n ≥ 0@):
--
-- @
-- 'cutoff' 0     _        ≡ 'return' 'Nothing'
-- 'cutoff' (n+1) '.' 'return' ≡ 'return' '.' 'Just'
-- 'cutoff' (n+1) '.' 'lift'   ≡ 'lift' '.' 'liftM' 'Just'
-- 'cutoff' (n+1) '.' 'wrap'   ≡ 'wrap' '.' 'fmap' ('cutoff' n)
-- @
--
-- Calling @'retract' '.' 'cutoff' n@ is always terminating, provided each of the
-- steps in the iteration is terminating.
cutoff :: (Functor f, Monad m) => Integer -> FreeT f m a -> FreeT f m (Maybe a)
cutoff n _ | n <= 0 = return Nothing
cutoff n (FreeT m) = FreeT $ bimap Just (cutoff (n - 1)) `liftM` m

-- | @partialIterT n phi m@ interprets first @n@ layers of @m@ using @phi@.
-- This is sort of the opposite for @'cutoff'@.
--
-- Some examples (@n ≥ 0@):
--
-- @
-- 'partialIterT' 0 _ m              ≡ m
-- 'partialIterT' (n+1) phi '.' 'return' ≡ 'return'
-- 'partialIterT' (n+1) phi '.' 'lift'   ≡ 'lift'
-- 'partialIterT' (n+1) phi '.' 'wrap'   ≡ 'join' . 'lift' . phi
-- @
partialIterT :: Monad m => Integer -> (forall a. f a -> m a) -> FreeT f m b -> FreeT f m b
partialIterT n phi m
  | n <= 0 = m
  | otherwise = FreeT $ do
      val <- runFreeT m
      case val of
        Pure a -> return (Pure a)
        Free f -> phi f >>= runFreeT . partialIterT (n - 1) phi

-- | @intersperseT f m@ inserts a layer @f@ between every two layers in
-- @m@.
--
-- @
-- 'intersperseT' f '.' 'return' ≡ 'return'
-- 'intersperseT' f '.' 'lift'   ≡ 'lift'
-- 'intersperseT' f '.' 'wrap'   ≡ 'wrap' '.' 'fmap' ('iterTM' ('wrap' '.' ('<$' f) '.' 'wrap'))
-- @
intersperseT :: (Monad m, Functor f) => f a -> FreeT f m b -> FreeT f m b
intersperseT f (FreeT m) = FreeT $ do
  val <- m
  case val of
    Pure x -> return $ Pure x
    Free y -> return . Free $ fmap (iterTM (wrap . (<$ f) . wrap)) y

-- | Tear down a free monad transformer using Monad instance for @t m@.
retractT :: (MonadTrans t, Monad (t m), Monad m) => FreeT (t m) m a -> t m a
retractT (FreeT m) = do
  val <- lift m
  case val of
    Pure x -> return x
    Free y -> y >>= retractT

-- | @intercalateT f m@ inserts a layer @f@ between every two layers in
-- @m@ and then retracts the result.
--
-- @
-- 'intercalateT' f ≡ 'retractT' . 'intersperseT' f
-- @
#if __GLASGOW_HASKELL__ < 710
intercalateT :: (Monad m, MonadTrans t, Monad (t m), Functor (t m)) => t m a -> FreeT (t m) m b -> t m b
#else
intercalateT :: (Monad m, MonadTrans t, Monad (t m)) => t m a -> FreeT (t m) m b -> t m b
#endif
intercalateT f (FreeT m) = do
  val <- lift m
  case val of
    Pure x -> return x
    Free y -> y >>= iterTM (\x -> f >> join x)

#if __GLASGOW_HASKELL__ < 707
instance Typeable1 f => Typeable2 (FreeF f) where
  typeOf2 t = mkTyConApp freeFTyCon [typeOf1 (f t)] where
    f :: FreeF f a b -> f a
    f = undefined

instance (Typeable1 f, Typeable1 w) => Typeable1 (FreeT f w) where
  typeOf1 t = mkTyConApp freeTTyCon [typeOf1 (f t), typeOf1 (w t)] where
    f :: FreeT f w a -> f a
    f = undefined
    w :: FreeT f w a -> w a
    w = undefined

freeFTyCon, freeTTyCon :: TyCon
#if __GLASGOW_HASKELL__ < 704
freeTTyCon = mkTyCon "Control.Monad.Trans.Free.FreeT"
freeFTyCon = mkTyCon "Control.Monad.Trans.Free.FreeF"
#else
freeTTyCon = mkTyCon3 "free" "Control.Monad.Trans.Free" "FreeT"
freeFTyCon = mkTyCon3 "free" "Control.Monad.Trans.Free" "FreeF"
#endif
{-# NOINLINE freeTTyCon #-}
{-# NOINLINE freeFTyCon #-}

instance
  ( Typeable1 f, Typeable a, Typeable b
  , Data a, Data (f b), Data b
  ) => Data (FreeF f a b) where
    gfoldl f z (Pure a) = z Pure `f` a
    gfoldl f z (Free as) = z Free `f` as
    toConstr Pure{} = pureConstr
    toConstr Free{} = freeConstr
    gunfold k z c = case constrIndex c of
        1 -> k (z Pure)
        2 -> k (z Free)
        _ -> error "gunfold"
    dataTypeOf _ = freeFDataType
    dataCast1 f = gcast1 f

instance
  ( Typeable1 f, Typeable1 w, Typeable a
  , Data (w (FreeF f a (FreeT f w a)))
  , Data a
  ) => Data (FreeT f w a) where
    gfoldl f z (FreeT w) = z FreeT `f` w
    toConstr _ = freeTConstr
    gunfold k z c = case constrIndex c of
        1 -> k (z FreeT)
        _ -> error "gunfold"
    dataTypeOf _ = freeTDataType
    dataCast1 f = gcast1 f

pureConstr, freeConstr, freeTConstr :: Constr
pureConstr = mkConstr freeFDataType "Pure" [] Prefix
freeConstr = mkConstr freeFDataType "Free" [] Prefix
freeTConstr = mkConstr freeTDataType "FreeT" [] Prefix
{-# NOINLINE pureConstr #-}
{-# NOINLINE freeConstr #-}
{-# NOINLINE freeTConstr #-}

freeFDataType, freeTDataType :: DataType
freeFDataType = mkDataType "Control.Monad.Trans.Free.FreeF" [pureConstr, freeConstr]
freeTDataType = mkDataType "Control.Monad.Trans.Free.FreeT" [freeTConstr]
{-# NOINLINE freeFDataType #-}
{-# NOINLINE freeTDataType #-}
#endif