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+{-# LANGUAGE CPP #-}
+#if __GLASGOW_HASKELL__ >= 700
+{-# LANGUAGE DeriveDataTypeable #-}
+#endif
+#if __GLASGOW_HASKELL__ >= 702
+{-# LANGUAGE DeriveGeneric #-}
+{-# LANGUAGE Trustworthy #-}
+#endif
+#if __GLASGOW_HASKELL__ >= 706
+{-# LANGUAGE PolyKinds #-}
+#endif
+#if __GLASGOW_HASKELL__ >= 708
+{-# LANGUAGE AutoDeriveTypeable #-}
+{-# LANGUAGE DataKinds #-}
+#endif
+#if MIN_VERSION_base(4,7,0)
+-- We need to implement bitSize for the Bits instance, but it's deprecated.
+{-# OPTIONS_GHC -fno-warn-deprecations #-}
+#endif
+-----------------------------------------------------------------------------
+-- |
+-- Module      :  Data.Functor.Identity
+-- Copyright   :  (c) Andy Gill 2001,
+--                (c) Oregon Graduate Institute of Science and Technology 2001
+-- License     :  BSD-style (see the file LICENSE)
+--
+-- Maintainer  :  ross@soi.city.ac.uk
+-- Stability   :  experimental
+-- Portability :  portable
+--
+-- The identity functor and monad.
+--
+-- This trivial type constructor serves two purposes:
+--
+-- * It can be used with functions parameterized by functor or monad classes.
+--
+-- * It can be used as a base monad to which a series of monad
+--   transformers may be applied to construct a composite monad.
+--   Most monad transformer modules include the special case of
+--   applying the transformer to 'Identity'.  For example, @State s@
+--   is an abbreviation for @StateT s 'Identity'@.
+-----------------------------------------------------------------------------
+
+module Data.Functor.Identity (
+    Identity(..),
+  ) where
+
+import Data.Bits
+import Control.Applicative
+import Control.Arrow (Arrow((***)))
+import Control.Monad.Fix
+#if MIN_VERSION_base(4,4,0)
+import Control.Monad.Zip (MonadZip(mzipWith, munzip))
+#endif
+import Data.Foldable (Foldable(foldMap))
+import Data.Monoid (Monoid(mempty, mappend))
+import Data.String (IsString(fromString))
+import Data.Traversable (Traversable(traverse))
+#if __GLASGOW_HASKELL__ >= 700
+import Data.Data
+#endif
+import Data.Ix (Ix(..))
+import Foreign (Storable(..), castPtr)
+#if __GLASGOW_HASKELL__ >= 702
+import GHC.Generics
+#endif
+
+-- | Identity functor and monad. (a non-strict monad)
+newtype Identity a = Identity { runIdentity :: a }
+    deriving ( Eq, Ord
+#if __GLASGOW_HASKELL__ >= 700
+             , Data, Typeable
+#endif
+#if __GLASGOW_HASKELL__ >= 702
+             , Generic
+#endif
+#if __GLASGOW_HASKELL__ >= 706
+             , Generic1
+#endif
+             )
+
+instance (Bits a) => Bits (Identity a) where
+    Identity x .&. Identity y     = Identity (x .&. y)
+    Identity x .|. Identity y     = Identity (x .|. y)
+    xor (Identity x) (Identity y) = Identity (xor x y)
+    complement   (Identity x)     = Identity (complement x)
+    shift        (Identity x) i   = Identity (shift    x i)
+    rotate       (Identity x) i   = Identity (rotate   x i)
+    setBit       (Identity x) i   = Identity (setBit   x i)
+    clearBit     (Identity x) i   = Identity (clearBit x i)
+    shiftL       (Identity x) i   = Identity (shiftL   x i)
+    shiftR       (Identity x) i   = Identity (shiftR   x i)
+    rotateL      (Identity x) i   = Identity (rotateL  x i)
+    rotateR      (Identity x) i   = Identity (rotateR  x i)
+    testBit      (Identity x) i   = testBit x i
+    bitSize      (Identity x)     = bitSize x
+    isSigned     (Identity x)     = isSigned x
+    bit i                         = Identity (bit i)
+#if MIN_VERSION_base(4,5,0)
+    unsafeShiftL (Identity x) i   = Identity (unsafeShiftL x i)
+    unsafeShiftR (Identity x) i   = Identity (unsafeShiftR x i)
+    popCount     (Identity x)     = popCount x
+#endif
+#if MIN_VERSION_base(4,7,0)
+    zeroBits                      = Identity zeroBits
+    bitSizeMaybe (Identity x)     = bitSizeMaybe x
+#endif
+
+instance (Bounded a) => Bounded (Identity a) where
+    minBound = Identity minBound
+    maxBound = Identity maxBound
+
+instance (Enum a) => Enum (Identity a) where
+    succ (Identity x)     = Identity (succ x)
+    pred (Identity x)     = Identity (pred x)
+    toEnum i              = Identity (toEnum i)
+    fromEnum (Identity x) = fromEnum x
+    enumFrom (Identity x) = map Identity (enumFrom x)
+    enumFromThen (Identity x) (Identity y) = map Identity (enumFromThen x y)
+    enumFromTo   (Identity x) (Identity y) = map Identity (enumFromTo   x y)
+    enumFromThenTo (Identity x) (Identity y) (Identity z) =
+        map Identity (enumFromThenTo x y z)
+
+#if MIN_VERSION_base(4,7,0)
+instance (FiniteBits a) => FiniteBits (Identity a) where
+    finiteBitSize (Identity x) = finiteBitSize x
+#endif
+
+instance (Floating a) => Floating (Identity a) where
+    pi                                = Identity pi
+    exp   (Identity x)                = Identity (exp x)
+    log   (Identity x)                = Identity (log x)
+    sqrt  (Identity x)                = Identity (sqrt x)
+    sin   (Identity x)                = Identity (sin x)
+    cos   (Identity x)                = Identity (cos x)
+    tan   (Identity x)                = Identity (tan x)
+    asin  (Identity x)                = Identity (asin x)
+    acos  (Identity x)                = Identity (acos x)
+    atan  (Identity x)                = Identity (atan x)
+    sinh  (Identity x)                = Identity (sinh x)
+    cosh  (Identity x)                = Identity (cosh x)
+    tanh  (Identity x)                = Identity (tanh x)
+    asinh (Identity x)                = Identity (asinh x)
+    acosh (Identity x)                = Identity (acosh x)
+    atanh (Identity x)                = Identity (atanh x)
+    Identity x ** Identity y          = Identity (x ** y)
+    logBase (Identity x) (Identity y) = Identity (logBase x y)
+
+instance (Fractional a) => Fractional (Identity a) where
+    Identity x / Identity y = Identity (x / y)
+    recip (Identity x)      = Identity (recip x)
+    fromRational r          = Identity (fromRational r)
+
+instance (IsString a) => IsString (Identity a) where
+    fromString s = Identity (fromString s)
+
+instance (Ix a) => Ix (Identity a) where
+    range     (Identity x, Identity y) = map Identity (range (x, y))
+    index     (Identity x, Identity y) (Identity i) = index     (x, y) i
+    inRange   (Identity x, Identity y) (Identity e) = inRange   (x, y) e
+    rangeSize (Identity x, Identity y) = rangeSize (x, y)
+
+instance (Integral a) => Integral (Identity a) where
+    quot    (Identity x) (Identity y) = Identity (quot x y)
+    rem     (Identity x) (Identity y) = Identity (rem  x y)
+    div     (Identity x) (Identity y) = Identity (div  x y)
+    mod     (Identity x) (Identity y) = Identity (mod  x y)
+    quotRem (Identity x) (Identity y) = (Identity *** Identity) (quotRem x y)
+    divMod  (Identity x) (Identity y) = (Identity *** Identity) (divMod  x y)
+    toInteger (Identity x)            = toInteger x
+
+instance (Monoid a) => Monoid (Identity a) where
+    mempty = Identity mempty
+    mappend (Identity x) (Identity y) = Identity (mappend x y)
+
+instance (Num a) => Num (Identity a) where
+    Identity x + Identity y = Identity (x + y)
+    Identity x - Identity y = Identity (x - y)
+    Identity x * Identity y = Identity (x * y)
+    negate (Identity x)     = Identity (negate x)
+    abs    (Identity x)     = Identity (abs    x)
+    signum (Identity x)     = Identity (signum x)
+    fromInteger n           = Identity (fromInteger n)
+
+instance (Real a) => Real (Identity a) where
+    toRational (Identity x) = toRational x
+
+instance (RealFloat a) => RealFloat (Identity a) where
+    floatRadix     (Identity x)     = floatRadix     x
+    floatDigits    (Identity x)     = floatDigits    x
+    floatRange     (Identity x)     = floatRange     x
+    decodeFloat    (Identity x)     = decodeFloat    x
+    exponent       (Identity x)     = exponent       x
+    isNaN          (Identity x)     = isNaN          x
+    isInfinite     (Identity x)     = isInfinite     x
+    isDenormalized (Identity x)     = isDenormalized x
+    isNegativeZero (Identity x)     = isNegativeZero x
+    isIEEE         (Identity x)     = isIEEE         x
+    significand    (Identity x)     = significand (Identity x)
+    scaleFloat s   (Identity x)     = Identity (scaleFloat s x)
+    encodeFloat m n                 = Identity (encodeFloat m n)
+    atan2 (Identity x) (Identity y) = Identity (atan2 x y)
+
+instance (RealFrac a) => RealFrac (Identity a) where
+    properFraction (Identity x) = (id *** Identity) (properFraction x)
+    truncate       (Identity x) = truncate x
+    round          (Identity x) = round    x
+    ceiling        (Identity x) = ceiling  x
+    floor          (Identity x) = floor    x
+
+instance (Storable a) => Storable (Identity a) where
+    sizeOf    (Identity x)       = sizeOf x
+    alignment (Identity x)       = alignment x
+    peekElemOff p i              = fmap Identity (peekElemOff (castPtr p) i)
+    pokeElemOff p i (Identity x) = pokeElemOff (castPtr p) i x
+    peekByteOff p i              = fmap Identity (peekByteOff p i)
+    pokeByteOff p i (Identity x) = pokeByteOff p i x
+    peek p                       = fmap runIdentity (peek (castPtr p))
+    poke p (Identity x)          = poke (castPtr p) x
+
+-- These instances would be equivalent to the derived instances of the
+-- newtype if the field were removed.
+
+instance (Read a) => Read (Identity a) where
+    readsPrec d = readParen (d > 10) $ \ r ->
+        [(Identity x,t) | ("Identity",s) <- lex r, (x,t) <- readsPrec 11 s]
+
+instance (Show a) => Show (Identity a) where
+    showsPrec d (Identity x) = showParen (d > 10) $
+        showString "Identity " . showsPrec 11 x
+
+-- ---------------------------------------------------------------------------
+-- Identity instances for Functor and Monad
+
+instance Functor Identity where
+    fmap f m = Identity (f (runIdentity m))
+
+instance Foldable Identity where
+    foldMap f (Identity x) = f x
+
+instance Traversable Identity where
+    traverse f (Identity x) = Identity <$> f x
+
+instance Applicative Identity where
+    pure a = Identity a
+    Identity f <*> Identity x = Identity (f x)
+
+instance Monad Identity where
+    return a = Identity a
+    m >>= k  = k (runIdentity m)
+
+instance MonadFix Identity where
+    mfix f = Identity (fix (runIdentity . f))
+
+#if MIN_VERSION_base(4,4,0)
+instance MonadZip Identity where
+    mzipWith f (Identity x) (Identity y) = Identity (f x y)
+    munzip (Identity (a, b)) = (Identity a, Identity b)
+#endif