MonoTraversable.hs

{-# LANGUAGE ConstrainedClassMethods #-}
{-# LANGUAGE CPP                     #-}
{-# LANGUAGE DefaultSignatures       #-}
{-# LANGUAGE FlexibleContexts        #-}
{-# LANGUAGE FlexibleInstances       #-}
{-# LANGUAGE TypeFamilies            #-}
{-# LANGUAGE UndecidableInstances    #-}
-- | Type classes mirroring standard typeclasses, but working with monomorphic containers.
--
-- The motivation is that some commonly used data types (i.e., 'ByteString' and
-- 'Text') do not allow for instances of typeclasses like 'Functor' and
-- 'Foldable', since they are monomorphic structures. This module allows both
-- monomorphic and polymorphic data types to be instances of the same
-- typeclasses.
--
-- All of the laws for the polymorphic typeclasses apply to their monomorphic
-- cousins. Thus, even though a 'MonoFunctor' instance for 'Set' could
-- theoretically be defined, it is omitted since it could violate the functor
-- law of @'omap' f . 'omap' g = 'omap' (f . g)@.
--
-- Note that all typeclasses have been prefixed with @Mono@, and functions have
-- been prefixed with @o@. The mnemonic for @o@ is "only one", or alternatively
-- \"it's mono, but m is overused in Haskell, so we'll use the second letter
-- instead.\" (Agreed, it's not a great mangling scheme, input is welcome!)
module Data.MonoTraversable where

import           Control.Applicative
import           Control.Category
#if MIN_VERSION_base(4,8,0)
import           Control.Monad        (Monad (..))
#else
import           Control.Monad        (Monad (..), liftM)
#endif
import qualified Data.ByteString      as S
import qualified Data.ByteString.Lazy as L
import qualified Data.Foldable        as F
import           Data.Functor
import           Data.Maybe           (fromMaybe)
import           Data.Monoid (Monoid (..), Any (..), All (..))
import qualified Data.Text            as T
import qualified Data.Text.Lazy       as TL
import           Data.Traversable
import           Data.Word            (Word8)
import Data.Int (Int, Int64)
import           GHC.Exts             (build)
import           Prelude              (Bool (..), const, Char, flip, IO, Maybe (..), Either (..),
                                       (+), Integral, Ordering (..), compare, fromIntegral, Num, (>=),
                                       (==), seq, otherwise, Eq, Ord, (-), (*))
import qualified Prelude
import qualified Data.ByteString.Internal as Unsafe
import qualified Foreign.ForeignPtr.Unsafe as Unsafe
import Foreign.Ptr (plusPtr)
import Foreign.ForeignPtr (touchForeignPtr)
import Foreign.Storable (peek)
import Control.Arrow (Arrow)
import Data.Tree (Tree (..))
import Data.Sequence (Seq, ViewL (..), ViewR (..))
import qualified Data.Sequence as Seq
import Data.IntMap (IntMap)
import Data.IntSet (IntSet)
import qualified Data.List as List
import Data.List.NonEmpty (NonEmpty)
import Data.Functor.Identity (Identity)
import Data.Map (Map)
import Data.HashMap.Strict (HashMap)
import Data.Vector (Vector)
import Control.Monad.Trans.Maybe (MaybeT (..))
import Control.Monad.Trans.List (ListT)
import Control.Monad.Trans.Writer (WriterT)
import qualified Control.Monad.Trans.Writer.Strict as Strict (WriterT)
import Control.Monad.Trans.State (StateT(..))
import qualified Control.Monad.Trans.State.Strict as Strict (StateT(..))
import Control.Monad.Trans.RWS (RWST(..))
import qualified Control.Monad.Trans.RWS.Strict as Strict (RWST(..))
import Control.Monad.Trans.Reader (ReaderT)
import Control.Monad.Trans.Cont (ContT)
import Data.Functor.Compose (Compose)
import Data.Functor.Product (Product)
import Data.Set (Set)
import qualified Data.Set as Set
import Data.HashSet (HashSet)
import qualified Data.HashSet as HashSet
import Data.Hashable (Hashable)
import qualified Data.Vector as V
import qualified Data.Vector.Unboxed as U
import qualified Data.Vector.Storable as VS
import qualified Data.IntSet as IntSet
import Data.Semigroup (Semigroup, Option (..), Arg)
import qualified Data.ByteString.Unsafe as SU
import Control.Monad.Trans.Identity (IdentityT)

-- | Type family for getting the type of the elements
-- of a monomorphic container.
type family Element mono
type instance Element S.ByteString = Word8
type instance Element L.ByteString = Word8
type instance Element T.Text = Char
type instance Element TL.Text = Char
type instance Element [a] = a
type instance Element (IO a) = a
type instance Element (ZipList a) = a
type instance Element (Maybe a) = a
type instance Element (Tree a) = a
type instance Element (Seq a) = a
type instance Element (ViewL a) = a
type instance Element (ViewR a) = a
type instance Element (IntMap a) = a
type instance Element IntSet = Int
type instance Element (Option a) = a
type instance Element (NonEmpty a) = a
type instance Element (Identity a) = a
type instance Element (r -> a) = a
type instance Element (Either a b) = b
type instance Element (a, b) = b
type instance Element (Const m a) = a
type instance Element (WrappedMonad m a) = a
type instance Element (Map k v) = v
type instance Element (HashMap k v) = v
type instance Element (Set e) = e
type instance Element (HashSet e) = e
type instance Element (Vector a) = a
type instance Element (WrappedArrow a b c) = c
type instance Element (MaybeT m a) = a
type instance Element (ListT m a) = a
type instance Element (IdentityT m a) = a
type instance Element (WriterT w m a) = a
type instance Element (Strict.WriterT w m a) = a
type instance Element (StateT s m a) = a
type instance Element (Strict.StateT s m a) = a
type instance Element (RWST r w s m a) = a
type instance Element (Strict.RWST r w s m a) = a
type instance Element (ReaderT r m a) = a
type instance Element (ContT r m a) = a
type instance Element (Compose f g a) = a
type instance Element (Product f g a) = a
type instance Element (U.Vector a) = a
type instance Element (VS.Vector a) = a
type instance Element (Arg a b) = b

-- | Monomorphic containers that can be mapped over.
class MonoFunctor mono where
    -- | Map over a monomorphic container
    omap :: (Element mono -> Element mono) -> mono -> mono
    default omap :: (Functor f, Element (f a) ~ a, f a ~ mono) => (a -> a) -> f a -> f a
    omap = fmap
    {-# INLINE omap #-}

instance MonoFunctor S.ByteString where
    omap = S.map
    {-# INLINE omap #-}
instance MonoFunctor L.ByteString where
    omap = L.map
    {-# INLINE omap #-}
instance MonoFunctor T.Text where
    omap = T.map
    {-# INLINE omap #-}
instance MonoFunctor TL.Text where
    omap = TL.map
    {-# INLINE omap #-}
instance MonoFunctor [a]
instance MonoFunctor (IO a)
instance MonoFunctor (ZipList a)
instance MonoFunctor (Maybe a)
instance MonoFunctor (Tree a)
instance MonoFunctor (Seq a)
instance MonoFunctor (ViewL a)
instance MonoFunctor (ViewR a)
instance MonoFunctor (IntMap a)
instance MonoFunctor (Option a)
instance MonoFunctor (NonEmpty a)
instance MonoFunctor (Identity a)
instance MonoFunctor (r -> a)
instance MonoFunctor (Either a b)
instance MonoFunctor (a, b)
instance MonoFunctor (Const m a)
instance Monad m => MonoFunctor (WrappedMonad m a)
instance MonoFunctor (Map k v)
instance MonoFunctor (HashMap k v)
instance MonoFunctor (Vector a)
instance MonoFunctor (Arg a b)
instance Arrow a => MonoFunctor (WrappedArrow a b c)
instance Functor m => MonoFunctor (MaybeT m a)
instance Functor m => MonoFunctor (ListT m a)
instance Functor m => MonoFunctor (IdentityT m a)
instance Functor m => MonoFunctor (WriterT w m a)
instance Functor m => MonoFunctor (Strict.WriterT w m a)
instance Functor m => MonoFunctor (StateT s m a)
instance Functor m => MonoFunctor (Strict.StateT s m a)
instance Functor m => MonoFunctor (RWST r w s m a)
instance Functor m => MonoFunctor (Strict.RWST r w s m a)
instance Functor m => MonoFunctor (ReaderT r m a)
instance Functor m => MonoFunctor (ContT r m a)
instance (Functor f, Functor g) => MonoFunctor (Compose f g a)
instance (Functor f, Functor g) => MonoFunctor (Product f g a)
instance U.Unbox a => MonoFunctor (U.Vector a) where
    omap = U.map
    {-# INLINE omap #-}
instance VS.Storable a => MonoFunctor (VS.Vector a) where
    omap = VS.map
    {-# INLINE omap #-}

-- | @'replaceElem' old new@ replaces all @old@ elements with @new@.
--
-- @since 1.0.1
replaceElem :: (MonoFunctor mono, Eq (Element mono)) => Element mono -> Element mono -> mono -> mono
replaceElem old new = omap (\x -> if x == old then new else x)

{-# INLINE [0] replaceElem #-}
{-# RULES "strict Text replaceElem" replaceElem = replaceElemStrictText #-}
replaceElemStrictText :: Char -> Char -> T.Text -> T.Text
replaceElemStrictText old new = T.replace (T.singleton old) (T.singleton new)
{-# RULES "lazy Text replaceElem" replaceElem = replaceElemLazyText #-}
replaceElemLazyText :: Char -> Char -> TL.Text -> TL.Text
replaceElemLazyText old new = TL.replace (TL.singleton old) (TL.singleton new)


-- | Monomorphic containers that can be folded.
class MonoFoldable mono where
    -- | Map each element of a monomorphic container to a 'Monoid'
    -- and combine the results.
    ofoldMap :: Monoid m => (Element mono -> m) -> mono -> m
    default ofoldMap :: (t a ~ mono, a ~ Element (t a), F.Foldable t, Monoid m) => (Element mono -> m) -> mono -> m
    ofoldMap = F.foldMap
    {-# INLINE ofoldMap #-}

    -- | Right-associative fold of a monomorphic container.
    ofoldr :: (Element mono -> b -> b) -> b -> mono -> b
    default ofoldr :: (t a ~ mono, a ~ Element (t a), F.Foldable t) => (Element mono -> b -> b) -> b -> mono -> b
    ofoldr = F.foldr
    {-# INLINE ofoldr #-}

    -- | Strict left-associative fold of a monomorphic container.
    ofoldl' :: (a -> Element mono -> a) -> a -> mono -> a
    default ofoldl' :: (t b ~ mono, b ~ Element (t b), F.Foldable t) => (a -> Element mono -> a) -> a -> mono -> a
    ofoldl' = F.foldl'
    {-# INLINE ofoldl' #-}

    -- | Convert a monomorphic container to a list.
    otoList :: mono -> [Element mono]
    otoList t = build (\ mono n -> ofoldr mono n t)
    {-# INLINE otoList #-}

    -- | Are __all__ of the elements in a monomorphic container
    -- converted to booleans 'True'?
    oall :: (Element mono -> Bool) -> mono -> Bool
    oall f = getAll . ofoldMap (All . f)
    {-# INLINE oall #-}

    -- | Are __any__ of the elements in a monomorphic container
    -- converted to booleans 'True'?
    oany :: (Element mono -> Bool) -> mono -> Bool
    oany f = getAny . ofoldMap (Any . f)
    {-# INLINE oany #-}

    -- | Is the monomorphic container empty?
    onull :: mono -> Bool
    onull = oall (const False)
    {-# INLINE onull #-}

    -- | Length of a monomorphic container, returns a 'Int'.
    olength :: mono -> Int
    olength = ofoldl' (\i _ -> i + 1) 0
    {-# INLINE olength #-}

    -- | Length of a monomorphic container, returns a 'Int64'.
    olength64 :: mono -> Int64
    olength64 = ofoldl' (\i _ -> i + 1) 0
    {-# INLINE olength64 #-}

    -- | Compare the length of a monomorphic container and a given number.
    ocompareLength :: Integral i => mono -> i -> Ordering
    -- Basic implementation using length for most instance. See the list
    -- instance below for support for infinite structures. Arguably, that
    -- should be the default instead of this.
    ocompareLength c0 i0 = olength c0 `compare` fromIntegral i0
    {-# INLINE ocompareLength #-}

    -- | Map each element of a monomorphic container to an action,
    -- evaluate these actions from left to right, and ignore the results.
    otraverse_ :: Applicative f => (Element mono -> f b) -> mono -> f ()
    otraverse_ f = ofoldr ((*>) . f) (pure ())
    {-# INLINE otraverse_ #-}

    -- | 'ofor_' is 'otraverse_' with its arguments flipped.
    ofor_ :: Applicative f => mono -> (Element mono -> f b) -> f ()
    ofor_ = flip otraverse_
    {-# INLINE ofor_ #-}

    -- | Map each element of a monomorphic container to a monadic action,
    -- evaluate these actions from left to right, and ignore the results.
#if MIN_VERSION_base(4,8,0)
    omapM_ :: Applicative m => (Element mono -> m ()) -> mono -> m ()
    omapM_ = otraverse_
#else
    omapM_ :: Monad m => (Element mono -> m ()) -> mono -> m ()
    omapM_ f = ofoldr ((>>) . f) (return ())
#endif
    {-# INLINE omapM_ #-}

    -- | 'oforM_' is 'omapM_' with its arguments flipped.
#if MIN_VERSION_base(4,8,0)
    oforM_ :: Applicative m => mono -> (Element mono -> m ()) -> m ()
    oforM_ = flip omapM_
#else
    oforM_ :: Monad m => mono -> (Element mono -> m ()) -> m ()
    oforM_ = flip omapM_
#endif
    {-# INLINE oforM_ #-}

    -- | Monadic fold over the elements of a monomorphic container, associating to the left.
    ofoldlM :: Monad m => (a -> Element mono -> m a) -> a -> mono -> m a
    ofoldlM f z0 xs = ofoldr f' return xs z0
      where f' x k z = f z x >>= k
    {-# INLINE ofoldlM #-}

    -- | Map each element of a monomorphic container to a semigroup,
    -- and combine the results.
    --
    -- Note: this is a partial function. On an empty 'MonoFoldable', it will
    -- throw an exception.
    --
    -- /See 'Data.NonNull.ofoldMap1' from "Data.NonNull" for a total version of this function./
    ofoldMap1Ex :: Semigroup m => (Element mono -> m) -> mono -> m
    ofoldMap1Ex f = fromMaybe (Prelude.error "Data.MonoTraversable.ofoldMap1Ex")
                       . getOption . ofoldMap (Option . Just . f)

    -- | Right-associative fold of a monomorphic container with no base element.
    --
    -- Note: this is a partial function. On an empty 'MonoFoldable', it will
    -- throw an exception.
    --
    -- /See 'Data.NonNull.ofoldr1Ex' from "Data.NonNull" for a total version of this function./
    ofoldr1Ex :: (Element mono -> Element mono -> Element mono) -> mono -> Element mono
    default ofoldr1Ex :: (t a ~ mono, a ~ Element (t a), F.Foldable t)
                           => (a -> a -> a) -> mono -> a
    ofoldr1Ex = F.foldr1
    {-# INLINE ofoldr1Ex #-}

    -- | Strict left-associative fold of a monomorphic container with no base
    -- element.
    --
    -- Note: this is a partial function. On an empty 'MonoFoldable', it will
    -- throw an exception.
    --
    -- /See 'Data.NonNull.ofoldl1Ex'' from "Data.NonNull" for a total version of this function./
    ofoldl1Ex' :: (Element mono -> Element mono -> Element mono) -> mono -> Element mono
    default ofoldl1Ex' :: (t a ~ mono, a ~ Element (t a), F.Foldable t)
                            => (a -> a -> a) -> mono -> a
    ofoldl1Ex' = F.foldl1
    {-# INLINE ofoldl1Ex' #-}

    -- | Get the first element of a monomorphic container.
    --
    -- Note: this is a partial function. On an empty 'MonoFoldable', it will
    -- throw an exception.
    --
    -- /See 'Data.NonNull.head' from "Data.NonNull" for a total version of this function./
    headEx :: mono -> Element mono
    headEx = ofoldr const (Prelude.error "Data.MonoTraversable.headEx: empty")
    {-# INLINE headEx #-}

    -- | Get the last element of a monomorphic container.
    --
    -- Note: this is a partial function. On an empty 'MonoFoldable', it will
    -- throw an exception.
    --
    -- /See 'Data.NonNull.last from "Data.NonNull" for a total version of this function./
    lastEx :: mono -> Element mono
    lastEx = ofoldl1Ex' (flip const)
    {-# INLINE lastEx #-}

    -- | Equivalent to 'headEx'.
    unsafeHead :: mono -> Element mono
    unsafeHead = headEx
    {-# INLINE unsafeHead #-}

    -- | Equivalent to 'lastEx'.
    unsafeLast :: mono -> Element mono
    unsafeLast = lastEx
    {-# INLINE unsafeLast #-}

    -- | Get the maximum element of a monomorphic container,
    -- using a supplied element ordering function.
    --
    -- Note: this is a partial function. On an empty 'MonoFoldable', it will
    -- throw an exception.
    --
    -- /See 'Data.NonNull.maximiumBy' from "Data.NonNull" for a total version of this function./
    maximumByEx :: (Element mono -> Element mono -> Ordering) -> mono -> Element mono
    maximumByEx f =
        ofoldl1Ex' go
      where
        go x y =
            case f x y of
                LT -> y
                _  -> x
    {-# INLINE maximumByEx #-}

    -- | Get the minimum element of a monomorphic container,
    -- using a supplied element ordering function.
    --
    -- Note: this is a partial function. On an empty 'MonoFoldable', it will
    -- throw an exception.
    --
    -- /See 'Data.NonNull.minimumBy' from "Data.NonNull" for a total version of this function./
    minimumByEx :: (Element mono -> Element mono -> Ordering) -> mono -> Element mono
    minimumByEx f =
        ofoldl1Ex' go
      where
        go x y =
            case f x y of
                GT -> y
                _  -> x
    {-# INLINE minimumByEx #-}

instance MonoFoldable S.ByteString where
    ofoldMap f = ofoldr (mappend . f) mempty
    ofoldr = S.foldr
    ofoldl' = S.foldl'
    otoList = S.unpack
    oall = S.all
    oany = S.any
    onull = S.null
    olength = S.length

    omapM_ f (Unsafe.PS fptr offset len) = do
        let start = Unsafe.unsafeForeignPtrToPtr fptr `plusPtr` offset
            end = start `plusPtr` len
            loop ptr
                | ptr >= end = evil (touchForeignPtr fptr) `seq`
#if MIN_VERSION_base(4,8,0)
                    pure ()
#else
                    return ()
#endif
                | otherwise =
#if MIN_VERSION_base(4,8,0)
                    f (evil (peek ptr)) *>
                    loop (ptr `plusPtr` 1)
#else
                    f (evil (peek ptr)) >>
                    loop (ptr `plusPtr` 1)
#endif
        loop start
      where
#if MIN_VERSION_bytestring(0,10,6)
        evil = Unsafe.accursedUnutterablePerformIO
#else
        evil = Unsafe.inlinePerformIO
#endif
        {-# INLINE evil #-}
    ofoldr1Ex = S.foldr1
    ofoldl1Ex' = S.foldl1'
    headEx = S.head
    lastEx = S.last
    unsafeHead = SU.unsafeHead
    {-# INLINE ofoldMap #-}
    {-# INLINE ofoldr #-}
    {-# INLINE ofoldl' #-}
    {-# INLINE otoList #-}
    {-# INLINE oall #-}
    {-# INLINE oany #-}
    {-# INLINE onull #-}
    {-# INLINE olength #-}
    {-# INLINE omapM_ #-}
    {-# INLINE ofoldr1Ex #-}
    {-# INLINE ofoldl1Ex' #-}
    {-# INLINE headEx #-}
    {-# INLINE lastEx #-}
    {-# INLINE unsafeHead #-}
{-# RULES "strict ByteString: ofoldMap = concatMap" ofoldMap = S.concatMap #-}

instance MonoFoldable L.ByteString where
    ofoldMap f = ofoldr (mappend . f) mempty
    ofoldr = L.foldr
    ofoldl' = L.foldl'
    otoList = L.unpack
    oall = L.all
    oany = L.any
    onull = L.null
    olength64 = L.length
    omapM_ f = omapM_ (omapM_ f) . L.toChunks
    ofoldr1Ex = L.foldr1
    ofoldl1Ex' = L.foldl1'
    headEx = L.head
    lastEx = L.last
    {-# INLINE ofoldMap #-}
    {-# INLINE ofoldr #-}
    {-# INLINE ofoldl' #-}
    {-# INLINE otoList #-}
    {-# INLINE oall #-}
    {-# INLINE oany #-}
    {-# INLINE onull #-}
    {-# INLINE olength64 #-}
    {-# INLINE omapM_ #-}
    {-# INLINE ofoldr1Ex #-}
    {-# INLINE ofoldl1Ex' #-}
    {-# INLINE headEx #-}
    {-# INLINE lastEx #-}
{-# RULES "lazy ByteString: ofoldMap = concatMap" ofoldMap = L.concatMap #-}

instance MonoFoldable T.Text where
    ofoldMap f = ofoldr (mappend . f) mempty
    ofoldr = T.foldr
    ofoldl' = T.foldl'
    otoList = T.unpack
    oall = T.all
    oany = T.any
    onull = T.null
    olength = T.length
    ofoldr1Ex = T.foldr1
    ofoldl1Ex' = T.foldl1'
    headEx = T.head
    lastEx = T.last
    {-# INLINE ofoldMap #-}
    {-# INLINE ofoldr #-}
    {-# INLINE ofoldl' #-}
    {-# INLINE otoList #-}
    {-# INLINE oall #-}
    {-# INLINE oany #-}
    {-# INLINE onull #-}
    {-# INLINE olength #-}
    {-# INLINE ofoldr1Ex #-}
    {-# INLINE ofoldl1Ex' #-}
    {-# INLINE headEx #-}
    {-# INLINE lastEx #-}
{-# RULES "strict Text: ofoldMap = concatMap" ofoldMap = T.concatMap #-}

instance MonoFoldable TL.Text where
    ofoldMap f = ofoldr (mappend . f) mempty
    ofoldr = TL.foldr
    ofoldl' = TL.foldl'
    otoList = TL.unpack
    oall = TL.all
    oany = TL.any
    onull = TL.null
    olength64 = TL.length
    ofoldr1Ex = TL.foldr1
    ofoldl1Ex' = TL.foldl1'
    headEx = TL.head
    lastEx = TL.last
    {-# INLINE ofoldMap #-}
    {-# INLINE ofoldr #-}
    {-# INLINE ofoldl' #-}
    {-# INLINE otoList #-}
    {-# INLINE oall #-}
    {-# INLINE oany #-}
    {-# INLINE onull #-}
    {-# INLINE ofoldr1Ex #-}
    {-# INLINE ofoldl1Ex' #-}
    {-# INLINE headEx #-}
    {-# INLINE lastEx #-}
{-# RULES "lazy Text: ofoldMap = concatMap" ofoldMap = TL.concatMap #-}

instance MonoFoldable IntSet where
    ofoldMap f = ofoldr (mappend . f) mempty
    ofoldr = IntSet.foldr
    ofoldl' = IntSet.foldl'
    otoList = IntSet.toList
    onull = IntSet.null
    olength = IntSet.size
    ofoldr1Ex f = ofoldr1Ex f . IntSet.toList
    ofoldl1Ex' f = ofoldl1Ex' f . IntSet.toList
    {-# INLINE ofoldMap #-}
    {-# INLINE ofoldr #-}
    {-# INLINE ofoldl' #-}
    {-# INLINE otoList #-}
    {-# INLINE onull #-}
    {-# INLINE olength #-}
    {-# INLINE ofoldr1Ex #-}
    {-# INLINE ofoldl1Ex' #-}
instance MonoFoldable [a] where
    otoList = id
    {-# INLINE otoList #-}

    ocompareLength [] i = 0 `compare` i
    ocompareLength (_:xs) i
        | i Prelude.<= 0 = GT
        | otherwise = ocompareLength xs (i - 1)
instance MonoFoldable (Maybe a) where
#if MIN_VERSION_base(4,8,0)
    omapM_ _ Nothing = pure ()
#else
    omapM_ _ Nothing = return ()
#endif
    omapM_ f (Just x) = f x
    {-# INLINE omapM_ #-}
instance MonoFoldable (Tree a)
instance MonoFoldable (Seq a) where
    headEx = flip Seq.index 0
    lastEx xs = Seq.index xs (Seq.length xs - 1)
    {-# INLINE headEx #-}
    {-# INLINE lastEx #-}
instance MonoFoldable (ViewL a)
instance MonoFoldable (ViewR a)
instance MonoFoldable (IntMap a)
instance MonoFoldable (Option a)
instance MonoFoldable (NonEmpty a)
instance MonoFoldable (Identity a)
instance MonoFoldable (Map k v)
instance MonoFoldable (HashMap k v)
instance MonoFoldable (Vector a) where
    ofoldr = V.foldr
    ofoldl' = V.foldl'
    otoList = V.toList
    oall = V.all
    oany = V.any
    onull = V.null
    olength = V.length
    ofoldr1Ex = V.foldr1
    ofoldl1Ex' = V.foldl1'
    headEx = V.head
    lastEx = V.last
    unsafeHead = V.unsafeHead
    unsafeLast = V.unsafeLast
    maximumByEx = V.maximumBy
    minimumByEx = V.minimumBy
    {-# INLINE ofoldr #-}
    {-# INLINE ofoldl' #-}
    {-# INLINE otoList #-}
    {-# INLINE oall #-}
    {-# INLINE oany #-}
    {-# INLINE onull #-}
    {-# INLINE olength #-}
    {-# INLINE ofoldr1Ex #-}
    {-# INLINE ofoldl1Ex' #-}
    {-# INLINE headEx #-}
    {-# INLINE lastEx #-}
    {-# INLINE unsafeHead #-}
    {-# INLINE maximumByEx #-}
    {-# INLINE minimumByEx #-}
instance MonoFoldable (Set e)
instance MonoFoldable (HashSet e)

instance U.Unbox a => MonoFoldable (U.Vector a) where
    ofoldMap f = ofoldr (mappend . f) mempty
    ofoldr = U.foldr
    ofoldl' = U.foldl'
    otoList = U.toList
    oall = U.all
    oany = U.any
    onull = U.null
    olength = U.length
    ofoldr1Ex = U.foldr1
    ofoldl1Ex' = U.foldl1'
    headEx = U.head
    lastEx = U.last
    unsafeHead = U.unsafeHead
    unsafeLast = U.unsafeLast
    maximumByEx = U.maximumBy
    minimumByEx = U.minimumBy
    {-# INLINE ofoldMap #-}
    {-# INLINE ofoldr #-}
    {-# INLINE ofoldl' #-}
    {-# INLINE otoList #-}
    {-# INLINE oall #-}
    {-# INLINE oany #-}
    {-# INLINE onull #-}
    {-# INLINE olength #-}
    {-# INLINE ofoldr1Ex #-}
    {-# INLINE ofoldl1Ex' #-}
    {-# INLINE headEx #-}
    {-# INLINE lastEx #-}
    {-# INLINE unsafeHead #-}
    {-# INLINE maximumByEx #-}
    {-# INLINE minimumByEx #-}
instance VS.Storable a => MonoFoldable (VS.Vector a) where
    ofoldMap f = ofoldr (mappend . f) mempty
    ofoldr = VS.foldr
    ofoldl' = VS.foldl'
    otoList = VS.toList
    oall = VS.all
    oany = VS.any
    onull = VS.null
    olength = VS.length
    ofoldr1Ex = VS.foldr1
    ofoldl1Ex' = VS.foldl1'
    headEx = VS.head
    lastEx = VS.last
    unsafeHead = VS.unsafeHead
    unsafeLast = VS.unsafeLast
    maximumByEx = VS.maximumBy
    minimumByEx = VS.minimumBy
    {-# INLINE ofoldMap #-}
    {-# INLINE ofoldr #-}
    {-# INLINE ofoldl' #-}
    {-# INLINE otoList #-}
    {-# INLINE oall #-}
    {-# INLINE oany #-}
    {-# INLINE onull #-}
    {-# INLINE olength #-}
    {-# INLINE ofoldr1Ex #-}
    {-# INLINE ofoldl1Ex' #-}
    {-# INLINE headEx #-}
    {-# INLINE lastEx #-}
    {-# INLINE unsafeHead #-}
    {-# INLINE maximumByEx #-}
    {-# INLINE minimumByEx #-}
instance MonoFoldable (Either a b) where
    ofoldMap f = ofoldr (mappend . f) mempty
    ofoldr f b (Right a) = f a b
    ofoldr _ b (Left _) = b
    ofoldl' f a (Right b) = f a b
    ofoldl' _ a (Left _) = a
    otoList (Left _) = []
    otoList (Right b) = [b]
    oall _ (Left _) = True
    oall f (Right b) = f b
    oany _ (Left _) = False
    oany f (Right b) = f b
    onull (Left _) = True
    onull (Right _) = False
    olength (Left _) = 0
    olength (Right _) = 1
    ofoldr1Ex _ (Left _) = Prelude.error "ofoldr1Ex on Either"
    ofoldr1Ex _ (Right x) = x
    ofoldl1Ex' _ (Left _) = Prelude.error "ofoldl1Ex' on Either"
    ofoldl1Ex' _ (Right x) = x
#if MIN_VERSION_base(4,8,0)
    omapM_ _ (Left _) = pure ()
#else
    omapM_ _ (Left _) = return ()
#endif
    omapM_ f (Right x) = f x
    {-# INLINE ofoldMap #-}
    {-# INLINE ofoldr #-}
    {-# INLINE ofoldl' #-}
    {-# INLINE otoList #-}
    {-# INLINE oall #-}
    {-# INLINE oany #-}
    {-# INLINE onull #-}
    {-# INLINE olength #-}
    {-# INLINE omapM_ #-}
    {-# INLINE ofoldr1Ex #-}
    {-# INLINE ofoldl1Ex' #-}
instance MonoFoldable (a, b)
instance MonoFoldable (Const m a)
instance F.Foldable f => MonoFoldable (MaybeT f a)
instance F.Foldable f => MonoFoldable (ListT f a)
instance F.Foldable f => MonoFoldable (IdentityT f a)
instance F.Foldable f => MonoFoldable (WriterT w f a)
instance F.Foldable f => MonoFoldable (Strict.WriterT w f a)
instance (F.Foldable f, F.Foldable g) => MonoFoldable (Compose f g a)
instance (F.Foldable f, F.Foldable g) => MonoFoldable (Product f g a)

-- | Safe version of 'headEx'.
--
-- Returns 'Nothing' instead of throwing an exception when encountering
-- an empty monomorphic container.
headMay :: MonoFoldable mono => mono -> Maybe (Element mono)
headMay mono
    | onull mono = Nothing
    | otherwise = Just (headEx mono)
{-# INLINE headMay #-}

-- | Safe version of 'lastEx'.
--
-- Returns 'Nothing' instead of throwing an exception when encountering
-- an empty monomorphic container.
lastMay :: MonoFoldable mono => mono -> Maybe (Element mono)
lastMay mono
    | onull mono = Nothing
    | otherwise = Just (lastEx mono)
{-# INLINE lastMay #-}

-- | 'osum' computes the sum of the numbers of a monomorphic container.
osum :: (MonoFoldable mono, Num (Element mono)) => mono -> Element mono
osum = ofoldl' (+) 0
{-# INLINE osum #-}

-- | 'oproduct' computes the product of the numbers of a monomorphic container.
oproduct :: (MonoFoldable mono, Num (Element mono)) => mono -> Element mono
oproduct = ofoldl' (*) 1
{-# INLINE oproduct #-}

-- | Are __all__ of the elements 'True'?
--
-- Since 0.6.0
oand :: (Element mono ~ Bool, MonoFoldable mono) => mono -> Bool
oand = oall id
{-# INLINE oand #-}

-- | Are __any__ of the elements 'True'?
--
-- Since 0.6.0
oor :: (Element mono ~ Bool, MonoFoldable mono) => mono -> Bool
oor = oany id
{-# INLINE oor #-}

-- | Synonym for 'ofoldMap'
--
-- @since 1.0.0
oconcatMap :: (MonoFoldable mono, Monoid m) => (Element mono -> m) -> mono -> m
oconcatMap = ofoldMap

-- | Monoidally combine all values in the container
--
-- @since 1.0.0
ofold :: (MonoFoldable mono, Monoid (Element mono)) => mono -> Element mono
ofold = ofoldMap id
{-# INLINE ofold #-}

-- | Synonym for 'ofold'
--
-- @since 1.0.0
oconcat :: (MonoFoldable mono, Monoid (Element mono)) => mono -> Element mono
oconcat = ofold
{-# INLINE oconcat #-}

-- | Synonym for 'ofoldlM'
--
-- @since 1.0.0
ofoldM :: (MonoFoldable mono, Monad m) => (a -> Element mono -> m a) -> a -> mono -> m a
ofoldM = ofoldlM
{-# INLINE ofoldM #-}

-- | Perform all actions in the given container
--
-- @since 1.0.0
#if MIN_VERSION_base(4,8,0)
osequence_ :: (Applicative m, MonoFoldable mono, Element mono ~ (m ())) => mono -> m ()
#else
osequence_ :: (Monad m, MonoFoldable mono, Element mono ~ (m ())) => mono -> m ()
#endif
osequence_ = omapM_ id
{-# INLINE osequence_ #-}

-- | Checks if the monomorphic container includes the supplied element.
oelem :: (MonoFoldable mono, Eq (Element mono)) => Element mono -> mono -> Bool
oelem e = List.elem e . otoList
{-# INLINE [0] oelem #-}

-- | Checks if the monomorphic container does not include the supplied element.
onotElem :: (MonoFoldable mono, Eq (Element mono)) => Element mono -> mono -> Bool
onotElem e = List.notElem e . otoList
{-# INLINE [0] onotElem #-}

{-# RULES "strict ByteString elem" oelem = S.elem #-}
{-# RULES "strict ByteString notElem" oelem = S.notElem #-}

{-# RULES "lazy ByteString elem" oelem = L.elem #-}
{-# RULES "lazy ByteString notElem" oelem = L.notElem #-}

{-# RULES "Set elem" forall (k :: Ord k => k). oelem k = Set.member k #-}
{-# RULES "Set notElem" forall (k :: Ord k => k). oelem k = Set.notMember k #-}

-- | Get the minimum element of a monomorphic container.
--
-- Note: this is a partial function. On an empty 'MonoFoldable', it will
-- throw an exception.
--
-- /See 'Data.NonNull.maximum' from "Data.NonNull" for a total version of this function./
maximumEx :: (MonoFoldable mono, Ord (Element mono)) => mono -> Element mono
maximumEx = maximumByEx compare
{-# INLINE [0] maximumEx #-}

-- | Get the maximum element of a monomorphic container.
--
-- Note: this is a partial function. On an empty 'MonoFoldable', it will
-- throw an exception.
--
-- /See 'Data.NonNull.minimum' from "Data.NonNull" for a total version of this function./
minimumEx :: (MonoFoldable mono, Ord (Element mono)) => mono -> Element mono
minimumEx = minimumByEx compare
{-# INLINE [0] minimumEx #-}

{-# RULES "strict ByteString maximumEx" maximumEx = S.maximum #-}
{-# RULES "strict ByteString minimumEx" minimumEx = S.minimum #-}

{-# RULES "lazy ByteString maximumEx" maximumEx = L.maximum #-}
{-# RULES "lazy ByteString minimumEx" minimumEx = L.minimum #-}

{-# RULES "strict Text maximumEx" maximumEx = T.maximum #-}
{-# RULES "strict Text minimumEx" minimumEx = T.minimum #-}

{-# RULES "lazy Text maximumEx" maximumEx = TL.maximum #-}
{-# RULES "lazy Text minimumEx" minimumEx = TL.minimum #-}

{-# RULES "boxed Vector maximumEx" maximumEx = V.maximum #-}
{-# RULES "boxed Vector minimumEx" minimumEx = V.minimum #-}

{-# RULES "unboxed Vector maximumEx" forall (u :: U.Unbox a => U.Vector a). maximumEx u = U.maximum u #-}
{-# RULES "unboxed Vector minimumEx" forall (u :: U.Unbox a => U.Vector a). minimumEx u = U.minimum u #-}

{-# RULES "storable Vector maximumEx" forall (v :: VS.Storable a => VS.Vector a). maximumEx v = VS.maximum v #-}
{-# RULES "storable Vector minimumEx" forall (v :: VS.Storable a => VS.Vector a). minimumEx v = VS.minimum v #-}

-- | Safe version of 'maximumEx'.
--
-- Returns 'Nothing' instead of throwing an exception when
-- encountering an empty monomorphic container.
maximumMay :: (MonoFoldable mono, Ord (Element mono)) => mono -> Maybe (Element mono)
maximumMay mono
    | onull mono = Nothing
    | otherwise = Just (maximumEx mono)
{-# INLINE maximumMay #-}

-- | Safe version of 'maximumByEx'.
--
-- Returns 'Nothing' instead of throwing an exception when
-- encountering an empty monomorphic container.
maximumByMay :: MonoFoldable mono
             => (Element mono -> Element mono -> Ordering)
             -> mono
             -> Maybe (Element mono)
maximumByMay f mono
    | onull mono = Nothing
    | otherwise = Just (maximumByEx f mono)
{-# INLINE maximumByMay #-}

-- | Safe version of 'minimumEx'.
--
-- Returns 'Nothing' instead of throwing an exception when
-- encountering an empty monomorphic container.
minimumMay :: (MonoFoldable mono, Ord (Element mono)) => mono -> Maybe (Element mono)
minimumMay mono
    | onull mono = Nothing
    | otherwise = Just (minimumEx mono)
{-# INLINE minimumMay #-}

-- | Safe version of 'minimumByEx'.
--
-- Returns 'Nothing' instead of throwing an exception when
-- encountering an empty monomorphic container.
minimumByMay :: MonoFoldable mono
             => (Element mono -> Element mono -> Ordering)
             -> mono
             -> Maybe (Element mono)
minimumByMay f mono
    | onull mono = Nothing
    | otherwise = Just (minimumByEx f mono)
{-# INLINE minimumByMay #-}

-- | Monomorphic containers that can be traversed from left to right.
class (MonoFunctor mono, MonoFoldable mono) => MonoTraversable mono where
    -- | Map each element of a monomorphic container to an action,
    -- evaluate these actions from left to right, and
    -- collect the results.
    otraverse :: Applicative f => (Element mono -> f (Element mono)) -> mono -> f mono
    default otraverse :: (Traversable t, mono ~ t a, a ~ Element mono, Applicative f) => (Element mono -> f (Element mono)) -> mono -> f mono
    otraverse = traverse

    -- | Map each element of a monomorphic container to a monadic action,
    -- evaluate these actions from left to right, and
    -- collect the results.
#if MIN_VERSION_base(4,8,0)
    omapM :: Applicative m => (Element mono -> m (Element mono)) -> mono -> m mono
    omapM = otraverse
#else
    omapM :: Monad m => (Element mono -> m (Element mono)) -> mono -> m mono
    default omapM :: (Traversable t, mono ~ t a, a ~ Element mono, Monad m) => (Element mono -> m (Element mono)) -> mono -> m mono
    omapM = mapM
#endif
    {-# INLINE otraverse #-}
    {-# INLINE omapM #-}

instance MonoTraversable S.ByteString where
    otraverse f = fmap S.pack . traverse f . S.unpack
    {-# INLINE otraverse #-}
#if !MIN_VERSION_base(4,8,0)
    omapM f = liftM S.pack . mapM f . S.unpack
    {-# INLINE omapM #-}
#endif
instance MonoTraversable L.ByteString where
    otraverse f = fmap L.pack . traverse f . L.unpack
    {-# INLINE otraverse #-}
#if !MIN_VERSION_base(4,8,0)
    omapM f = liftM L.pack . mapM f . L.unpack
    {-# INLINE omapM #-}
#endif
instance MonoTraversable T.Text where
    otraverse f = fmap T.pack . traverse f . T.unpack
    {-# INLINE otraverse #-}
#if !MIN_VERSION_base(4,8,0)
    omapM f = liftM T.pack . mapM f . T.unpack
    {-# INLINE omapM #-}
#endif
instance MonoTraversable TL.Text where
    otraverse f = fmap TL.pack . traverse f . TL.unpack
    {-# INLINE otraverse #-}
#if !MIN_VERSION_base(4,8,0)
    omapM f = liftM TL.pack . mapM f . TL.unpack
    {-# INLINE omapM #-}
#endif
instance MonoTraversable [a]
instance MonoTraversable (Maybe a)
instance MonoTraversable (Tree a)
instance MonoTraversable (Seq a)
instance MonoTraversable (ViewL a)
instance MonoTraversable (ViewR a)
instance MonoTraversable (IntMap a)
instance MonoTraversable (Option a)
instance MonoTraversable (NonEmpty a)
instance MonoTraversable (Identity a)
instance MonoTraversable (Map k v)
instance MonoTraversable (HashMap k v)
instance MonoTraversable (Vector a)
instance U.Unbox a => MonoTraversable (U.Vector a) where
    -- FIXME do something more efficient
    otraverse f = fmap U.fromList . traverse f . U.toList
#if MIN_VERSION_base(4,8,0)
    omapM = otraverse
#else
    omapM = U.mapM
#endif
    {-# INLINE otraverse #-}
    {-# INLINE omapM #-}
instance VS.Storable a => MonoTraversable (VS.Vector a) where
    -- FIXME do something more efficient
    otraverse f = fmap VS.fromList . traverse f . VS.toList
#if MIN_VERSION_base(4,8,0)
    omapM = otraverse
#else
    omapM = VS.mapM
#endif
    {-# INLINE otraverse #-}
    {-# INLINE omapM #-}
instance MonoTraversable (Either a b) where
    otraverse _ (Left a) = pure (Left a)
    otraverse f (Right b) = fmap Right (f b)
#if MIN_VERSION_base(4,8,0)
    omapM _ (Left a) = pure (Left a)
    omapM f (Right b) = fmap Right (f b)
#else
    omapM _ (Left a) = return (Left a)
    omapM f (Right b) = liftM Right (f b)
#endif
    {-# INLINE otraverse #-}
    {-# INLINE omapM #-}
instance MonoTraversable (a, b)
instance MonoTraversable (Const m a)
instance Traversable f => MonoTraversable (MaybeT f a)
instance Traversable f => MonoTraversable (ListT f a)
instance Traversable f => MonoTraversable (IdentityT f a)
instance Traversable f => MonoTraversable (WriterT w f a)
instance Traversable f => MonoTraversable (Strict.WriterT w f a)
instance (Traversable f, Traversable g) => MonoTraversable (Compose f g a)
instance (Traversable f, Traversable g) => MonoTraversable (Product f g a)

-- | 'ofor' is 'otraverse' with its arguments flipped.
ofor :: (MonoTraversable mono, Applicative f) => mono -> (Element mono -> f (Element mono)) -> f mono
ofor = flip otraverse
{-# INLINE ofor #-}

-- | 'oforM' is 'omapM' with its arguments flipped.
#if MIN_VERSION_base(4,8,0)
oforM :: (MonoTraversable mono, Applicative f) => mono -> (Element mono -> f (Element mono)) -> f mono
#else
oforM :: (MonoTraversable mono, Monad f) => mono -> (Element mono -> f (Element mono)) -> f mono
#endif
oforM = flip omapM
{-# INLINE oforM #-}

-- | A strict left fold, together with an unwrap function.
--
-- This is convenient when the accumulator value is not the same as the final
-- expected type. It is provided mainly for integration with the @foldl@
-- package, to be used in conjunction with @purely@.
--
-- Since 0.3.1
ofoldlUnwrap :: MonoFoldable mono
             => (x -> Element mono -> x) -> x -> (x -> b) -> mono -> b
ofoldlUnwrap f x unwrap mono = unwrap (ofoldl' f x mono)

-- | A monadic strict left fold, together with an unwrap function.
--
-- Similar to 'foldlUnwrap', but allows monadic actions. To be used with
-- @impurely@ from @foldl@.
--
-- Since 0.3.1
ofoldMUnwrap :: (Monad m, MonoFoldable mono)
             => (x -> Element mono -> m x) -> m x -> (x -> m b) -> mono -> m b
ofoldMUnwrap f mx unwrap mono = do
    x <- mx
    x' <- ofoldlM f x mono
    unwrap x'

-- | Typeclass for monomorphic containers that an element can be
-- lifted into.
--
-- For any 'MonoFunctor', the following law holds:
--
-- @
-- 'omap' f . 'opoint' = 'opoint' . f
-- @
class MonoPointed mono where
    -- | Lift an element into a monomorphic container.
    --
    -- 'opoint' is the same as 'Control.Applicative.pure' for an 'Applicative'
    opoint :: Element mono -> mono
    default opoint :: (Applicative f, (f a) ~ mono, Element (f a) ~ a)
                   => Element mono -> mono
    opoint = pure
    {-# INLINE opoint #-}

-- monomorphic
instance MonoPointed S.ByteString where
    opoint = S.singleton
    {-# INLINE opoint #-}
instance MonoPointed L.ByteString where
    opoint = L.singleton
    {-# INLINE opoint #-}
instance MonoPointed T.Text where
    opoint = T.singleton
    {-# INLINE opoint #-}
instance MonoPointed TL.Text where
    opoint = TL.singleton
    {-# INLINE opoint #-}

-- Applicative
instance MonoPointed [a]
instance MonoPointed (Maybe a)
instance MonoPointed (Option a)
instance MonoPointed (NonEmpty a)
instance MonoPointed (Identity a)
instance MonoPointed (Vector a)
instance MonoPointed (IO a)
instance MonoPointed (ZipList a)
instance MonoPointed (r -> a)
instance Monoid a => MonoPointed (a, b)
instance Monoid m => MonoPointed (Const m a)
instance Monad m => MonoPointed (WrappedMonad m a)
instance Applicative m => MonoPointed (ListT m a)
instance Applicative m => MonoPointed (IdentityT m a)
instance Arrow a => MonoPointed (WrappedArrow a b c)
instance (Monoid w, Applicative m) => MonoPointed (WriterT w m a)
instance (Monoid w, Applicative m) => MonoPointed (Strict.WriterT w m a)
instance Applicative m => MonoPointed (ReaderT r m a)
instance MonoPointed (ContT r m a)
instance (Applicative f, Applicative g) => MonoPointed (Compose f g a)
instance (Applicative f, Applicative g) => MonoPointed (Product f g a)

-- Not Applicative
instance MonoPointed (Seq a) where
    opoint = Seq.singleton
    {-# INLINE opoint #-}
instance U.Unbox a => MonoPointed (U.Vector a) where
    opoint = U.singleton
    {-# INLINE opoint #-}
instance VS.Storable a => MonoPointed (VS.Vector a) where
    opoint = VS.singleton
    {-# INLINE opoint #-}
instance MonoPointed (Either a b) where
    opoint = Right
    {-# INLINE opoint #-}
instance MonoPointed IntSet.IntSet where
    opoint = IntSet.singleton
    {-# INLINE opoint #-}
instance MonoPointed (Set a) where
    opoint = Set.singleton
    {-# INLINE opoint #-}
instance Hashable a => MonoPointed (HashSet a) where
    opoint = HashSet.singleton
    {-# INLINE opoint #-}
instance Applicative f => MonoPointed (MaybeT f a) where
    opoint = MaybeT . fmap Just . pure
    {-# INLINE opoint #-}
instance (Monoid w, Applicative m) => MonoPointed (RWST r w s m a) where
    opoint a = RWST (\_ s -> pure (a, s, mempty))
    {-# INLINE opoint #-}
instance (Monoid w, Applicative m) => MonoPointed (Strict.RWST r w s m a) where
    opoint a = Strict.RWST (\_ s -> pure (a, s, mempty))
    {-# INLINE opoint #-}
instance Applicative m => MonoPointed (StateT s m a) where
    opoint a = StateT (\s -> pure (a, s))
    {-# INLINE opoint #-}
instance Applicative m => MonoPointed (Strict.StateT s m a) where
    opoint a = Strict.StateT (\s -> pure (a, s))
    {-# INLINE opoint #-}
instance MonoPointed (ViewL a) where
    opoint a = a :< Seq.empty
    {-# INLINE opoint #-}
instance MonoPointed (ViewR a) where
    opoint a = Seq.empty :> a
    {-# INLINE opoint #-}
instance MonoPointed (Tree a) where
    opoint a = Node a []
    {-# INLINE opoint #-}


-- | Typeclass for monomorphic containers where it is always okay to
-- "extract" a value from with 'oextract', and where you can extrapolate
-- any "extracting" function to be a function on the whole part with
-- 'oextend'.
--
-- 'oextend' and 'oextract' should work together following the laws:
--
-- @
-- 'oextend' 'oextract'      = 'id'
-- 'oextract' . 'oextend' f  = f
-- 'oextend' f . 'oextend' g = 'oextend' (f . 'oextend' g)
-- @
--
-- As an intuition, @'oextend' f@ uses @f@ to "build up" a new @mono@ with
-- pieces from the old one received by @f@.
--
class MonoFunctor mono => MonoComonad mono where
    -- | Extract an element from @mono@.  Can be thought of as a dual
    -- concept to @opoint@.
    oextract :: mono -> Element mono
    -- | "Extend" a @mono -> 'Element' mono@ function to be a @mono ->
    -- mono@; that is, builds a new @mono@ from the old one by using pieces
    -- glimpsed from the given function.
    oextend :: (mono -> Element mono) -> mono -> mono

-- Not Comonad
instance MonoComonad (ViewL a) where
    oextract ~(x :< _) = x
    {-# INLINE oextract #-}
    oextend f w@ ~(_ :< xxs) =
        f w :< case Seq.viewl xxs of
                 EmptyL -> Seq.empty
                 xs     -> case oextend f xs of
                             EmptyL  -> Seq.empty
                             y :< ys -> y Seq.<| ys

instance MonoComonad (ViewR a) where
    oextract ~(_ :> x) = x
    {-# INLINE oextract #-}
    oextend f w@ ~(xxs :> _) =
        (case Seq.viewr xxs of
           EmptyR -> Seq.empty
           xs     -> case oextend f xs of
                       EmptyR  -> Seq.empty
                       ys :> y -> ys Seq.|> y
        ) :> f w

-- | Containers which, when two values are combined, the combined length is no
-- less than the larger of the two inputs. In code:
--
-- @
-- olength (x <> y) >= max (olength x) (olength y)
-- @
--
-- This class has no methods, and is simply used to assert that this law holds,
-- in order to provide guarantees of correctness (see, for instance,
-- "Data.NonNull").
--
-- This should have a @Semigroup@ superclass constraint, however, due to
-- @Semigroup@ only recently moving to base, some packages do not provide
-- instances.
class MonoFoldable mono => GrowingAppend mono

instance GrowingAppend (Seq.Seq a)
instance GrowingAppend [a]
instance GrowingAppend (V.Vector a)
instance U.Unbox a => GrowingAppend (U.Vector a)
instance VS.Storable a => GrowingAppend (VS.Vector a)
instance GrowingAppend S.ByteString
instance GrowingAppend L.ByteString
instance GrowingAppend T.Text
instance GrowingAppend TL.Text
instance GrowingAppend (NonEmpty a)
instance Ord k => GrowingAppend (Map k v)
instance (Eq k, Hashable k) => GrowingAppend (HashMap k v)
instance Ord v => GrowingAppend (Set.Set v)
instance (Eq v, Hashable v) => GrowingAppend (HashSet.HashSet v)
instance GrowingAppend IntSet.IntSet
instance GrowingAppend (IntMap v)

-- | 'intercalate' @seq seqs@ inserts @seq@ in between @seqs@ and
-- concatenates the result.
--
-- @since 1.0.0
ointercalate :: (MonoFoldable mono, Monoid (Element mono))
             => Element mono
             -> mono
             -> Element mono
ointercalate x = mconcat . List.intersperse x . otoList
{-# INLINE [0] ointercalate #-}
{-# RULES "ointercalate list" forall x.
        ointercalate x = List.intercalate x . otoList #-}
{-# RULES "intercalate ByteString" forall x.
        ointercalate x = S.intercalate x . otoList #-}
{-# RULES "intercalate LByteString" forall x.
        ointercalate x = L.intercalate x . otoList #-}
{-# RULES "intercalate Text" forall x.
        ointercalate x = T.intercalate x . otoList #-}
{-# RULES "intercalate LText" forall x.
        ointercalate x = TL.intercalate x . otoList #-}