{-# LANGUAGE Safe #-}
-----------------------------------------------------------------------------
-- |
-- Module      :  Data.Functor.Classes
-- Copyright   :  (c) Ross Paterson 2013
-- License     :  BSD-style (see the file LICENSE)
--
-- Maintainer  :  libraries@haskell.org
-- Stability   :  experimental
-- Portability :  portable
--
-- Liftings of the Prelude classes 'Eq', 'Ord', 'Read' and 'Show' to
-- unary and binary type constructors.
--
-- These classes are needed to express the constraints on arguments of
-- transformers in portable Haskell.  Thus for a new transformer @T@,
-- one might write instances like
--
-- > instance (Eq1 f) => Eq1 (T f) where ...
-- > instance (Ord1 f) => Ord1 (T f) where ...
-- > instance (Read1 f) => Read1 (T f) where ...
-- > instance (Show1 f) => Show1 (T f) where ...
--
-- If these instances can be defined, defining instances of the base
-- classes is mechanical:
--
-- > instance (Eq1 f, Eq a) => Eq (T f a) where (==) = eq1
-- > instance (Ord1 f, Ord a) => Ord (T f a) where compare = compare1
-- > instance (Read1 f, Read a) => Read (T f a) where
-- >   readPrec     = readPrec1
-- >   readListPrec = readListPrecDefault
-- > instance (Show1 f, Show a) => Show (T f a) where showsPrec = showsPrec1
--
-- @since 4.9.0.0
-----------------------------------------------------------------------------

module Data.Functor.Classes (
    -- * Liftings of Prelude classes
    -- ** For unary constructors
    Eq1(..), eq1,
    Ord1(..), compare1,
    Read1(..), readsPrec1, readPrec1,
    liftReadListDefault, liftReadListPrecDefault,
    Show1(..), showsPrec1,
    -- ** For binary constructors
    Eq2(..), eq2,
    Ord2(..), compare2,
    Read2(..), readsPrec2, readPrec2,
    liftReadList2Default, liftReadListPrec2Default,
    Show2(..), showsPrec2,
    -- * Helper functions
    -- $example
    readsData, readData,
    readsUnaryWith, readUnaryWith,
    readsBinaryWith, readBinaryWith,
    showsUnaryWith,
    showsBinaryWith,
    -- ** Obsolete helpers
    readsUnary,
    readsUnary1,
    readsBinary1,
    showsUnary,
    showsUnary1,
    showsBinary1,
  ) where

import Control.Applicative (Alternative((<|>)), Const(Const))

import Data.Functor.Identity (Identity(Identity))
import Data.Proxy (Proxy(Proxy))
import Data.List.NonEmpty (NonEmpty(..))
import Data.Ord (Down(Down))
import Data.Complex (Complex((:+)))

import GHC.Tuple (Solo (..))
import GHC.Read (expectP, list, paren)
import Data.Fixed (Fixed (..))

import Text.ParserCombinators.ReadPrec (ReadPrec, readPrec_to_S, readS_to_Prec)
import Text.Read (Read(..), parens, prec, step)
import Text.Read.Lex (Lexeme(..))
import Text.Show (showListWith)

-- $setup
-- >>> import Prelude
-- >>> import Data.Complex (Complex (..))
-- >>> import Text.ParserCombinators.ReadPrec

-- | Lifting of the 'Eq' class to unary type constructors.
--
-- @since 4.9.0.0
class Eq1 f where
    -- | Lift an equality test through the type constructor.
    --
    -- The function will usually be applied to an equality function,
    -- but the more general type ensures that the implementation uses
    -- it to compare elements of the first container with elements of
    -- the second.
    --
    -- @since 4.9.0.0
    liftEq :: (a -> b -> Bool) -> f a -> f b -> Bool

-- | Lift the standard @('==')@ function through the type constructor.
--
-- @since 4.9.0.0
eq1 :: (Eq1 f, Eq a) => f a -> f a -> Bool
eq1 :: forall (f :: * -> *) a. (Eq1 f, Eq a) => f a -> f a -> Bool
eq1 = (a -> a -> Bool) -> f a -> f a -> Bool
forall (f :: * -> *) a b.
Eq1 f =>
(a -> b -> Bool) -> f a -> f b -> Bool
liftEq a -> a -> Bool
forall a. Eq a => a -> a -> Bool
(==)

-- | Lifting of the 'Ord' class to unary type constructors.
--
-- @since 4.9.0.0
class (Eq1 f) => Ord1 f where
    -- | Lift a 'compare' function through the type constructor.
    --
    -- The function will usually be applied to a comparison function,
    -- but the more general type ensures that the implementation uses
    -- it to compare elements of the first container with elements of
    -- the second.
    --
    -- @since 4.9.0.0
    liftCompare :: (a -> b -> Ordering) -> f a -> f b -> Ordering

-- | Lift the standard 'compare' function through the type constructor.
--
-- @since 4.9.0.0
compare1 :: (Ord1 f, Ord a) => f a -> f a -> Ordering
compare1 :: forall (f :: * -> *) a. (Ord1 f, Ord a) => f a -> f a -> Ordering
compare1 = (a -> a -> Ordering) -> f a -> f a -> Ordering
forall (f :: * -> *) a b.
Ord1 f =>
(a -> b -> Ordering) -> f a -> f b -> Ordering
liftCompare a -> a -> Ordering
forall a. Ord a => a -> a -> Ordering
compare

-- | Lifting of the 'Read' class to unary type constructors.
--
-- Both 'liftReadsPrec' and 'liftReadPrec' exist to match the interface
-- provided in the 'Read' type class, but it is recommended to implement
-- 'Read1' instances using 'liftReadPrec' as opposed to 'liftReadsPrec', since
-- the former is more efficient than the latter. For example:
--
-- @
-- instance 'Read1' T where
--   'liftReadPrec'     = ...
--   'liftReadListPrec' = 'liftReadListPrecDefault'
-- @
--
-- For more information, refer to the documentation for the 'Read' class.
--
-- @since 4.9.0.0
class Read1 f where
    {-# MINIMAL liftReadsPrec | liftReadPrec #-}

    -- | 'readsPrec' function for an application of the type constructor
    -- based on 'readsPrec' and 'readList' functions for the argument type.
    --
    -- @since 4.9.0.0
    liftReadsPrec :: (Int -> ReadS a) -> ReadS [a] -> Int -> ReadS (f a)
    liftReadsPrec Int -> ReadS a
rp ReadS [a]
rl = ReadPrec (f a) -> Int -> ReadS (f a)
forall a. ReadPrec a -> Int -> ReadS a
readPrec_to_S (ReadPrec (f a) -> Int -> ReadS (f a))
-> ReadPrec (f a) -> Int -> ReadS (f a)
forall a b. (a -> b) -> a -> b
$
        ReadPrec a -> ReadPrec [a] -> ReadPrec (f a)
forall (f :: * -> *) a.
Read1 f =>
ReadPrec a -> ReadPrec [a] -> ReadPrec (f a)
liftReadPrec ((Int -> ReadS a) -> ReadPrec a
forall a. (Int -> ReadS a) -> ReadPrec a
readS_to_Prec Int -> ReadS a
rp) ((Int -> ReadS [a]) -> ReadPrec [a]
forall a. (Int -> ReadS a) -> ReadPrec a
readS_to_Prec (ReadS [a] -> Int -> ReadS [a]
forall a b. a -> b -> a
const ReadS [a]
rl))

    -- | 'readList' function for an application of the type constructor
    -- based on 'readsPrec' and 'readList' functions for the argument type.
    -- The default implementation using standard list syntax is correct
    -- for most types.
    --
    -- @since 4.9.0.0
    liftReadList :: (Int -> ReadS a) -> ReadS [a] -> ReadS [f a]
    liftReadList Int -> ReadS a
rp ReadS [a]
rl = ReadPrec [f a] -> Int -> ReadS [f a]
forall a. ReadPrec a -> Int -> ReadS a
readPrec_to_S
        (ReadPrec (f a) -> ReadPrec [f a]
forall a. ReadPrec a -> ReadPrec [a]
list (ReadPrec (f a) -> ReadPrec [f a])
-> ReadPrec (f a) -> ReadPrec [f a]
forall a b. (a -> b) -> a -> b
$ ReadPrec a -> ReadPrec [a] -> ReadPrec (f a)
forall (f :: * -> *) a.
Read1 f =>
ReadPrec a -> ReadPrec [a] -> ReadPrec (f a)
liftReadPrec ((Int -> ReadS a) -> ReadPrec a
forall a. (Int -> ReadS a) -> ReadPrec a
readS_to_Prec Int -> ReadS a
rp) ((Int -> ReadS [a]) -> ReadPrec [a]
forall a. (Int -> ReadS a) -> ReadPrec a
readS_to_Prec (ReadS [a] -> Int -> ReadS [a]
forall a b. a -> b -> a
const ReadS [a]
rl))) Int
0

    -- | 'readPrec' function for an application of the type constructor
    -- based on 'readPrec' and 'readListPrec' functions for the argument type.
    --
    -- @since 4.10.0.0
    liftReadPrec :: ReadPrec a -> ReadPrec [a] -> ReadPrec (f a)
    liftReadPrec ReadPrec a
rp ReadPrec [a]
rl = (Int -> ReadS (f a)) -> ReadPrec (f a)
forall a. (Int -> ReadS a) -> ReadPrec a
readS_to_Prec ((Int -> ReadS (f a)) -> ReadPrec (f a))
-> (Int -> ReadS (f a)) -> ReadPrec (f a)
forall a b. (a -> b) -> a -> b
$
        (Int -> ReadS a) -> ReadS [a] -> Int -> ReadS (f a)
forall (f :: * -> *) a.
Read1 f =>
(Int -> ReadS a) -> ReadS [a] -> Int -> ReadS (f a)
liftReadsPrec (ReadPrec a -> Int -> ReadS a
forall a. ReadPrec a -> Int -> ReadS a
readPrec_to_S ReadPrec a
rp) (ReadPrec [a] -> Int -> ReadS [a]
forall a. ReadPrec a -> Int -> ReadS a
readPrec_to_S ReadPrec [a]
rl Int
0)

    -- | 'readListPrec' function for an application of the type constructor
    -- based on 'readPrec' and 'readListPrec' functions for the argument type.
    --
    -- The default definition uses 'liftReadList'. Instances that define
    -- 'liftReadPrec' should also define 'liftReadListPrec' as
    -- 'liftReadListPrecDefault'.
    --
    -- @since 4.10.0.0
    liftReadListPrec :: ReadPrec a -> ReadPrec [a] -> ReadPrec [f a]
    liftReadListPrec ReadPrec a
rp ReadPrec [a]
rl = (Int -> ReadS [f a]) -> ReadPrec [f a]
forall a. (Int -> ReadS a) -> ReadPrec a
readS_to_Prec ((Int -> ReadS [f a]) -> ReadPrec [f a])
-> (Int -> ReadS [f a]) -> ReadPrec [f a]
forall a b. (a -> b) -> a -> b
$ \Int
_ ->
        (Int -> ReadS a) -> ReadS [a] -> ReadS [f a]
forall (f :: * -> *) a.
Read1 f =>
(Int -> ReadS a) -> ReadS [a] -> ReadS [f a]
liftReadList (ReadPrec a -> Int -> ReadS a
forall a. ReadPrec a -> Int -> ReadS a
readPrec_to_S ReadPrec a
rp) (ReadPrec [a] -> Int -> ReadS [a]
forall a. ReadPrec a -> Int -> ReadS a
readPrec_to_S ReadPrec [a]
rl Int
0)

-- | Lift the standard 'readsPrec' and 'readList' functions through the
-- type constructor.
--
-- @since 4.9.0.0
readsPrec1 :: (Read1 f, Read a) => Int -> ReadS (f a)
readsPrec1 :: forall (f :: * -> *) a. (Read1 f, Read a) => Int -> ReadS (f a)
readsPrec1 = (Int -> ReadS a) -> ReadS [a] -> Int -> ReadS (f a)
forall (f :: * -> *) a.
Read1 f =>
(Int -> ReadS a) -> ReadS [a] -> Int -> ReadS (f a)
liftReadsPrec Int -> ReadS a
forall a. Read a => Int -> ReadS a
readsPrec ReadS [a]
forall a. Read a => ReadS [a]
readList

-- | Lift the standard 'readPrec' and 'readListPrec' functions through the
-- type constructor.
--
-- @since 4.10.0.0
readPrec1 :: (Read1 f, Read a) => ReadPrec (f a)
readPrec1 :: forall (f :: * -> *) a. (Read1 f, Read a) => ReadPrec (f a)
readPrec1 = ReadPrec a -> ReadPrec [a] -> ReadPrec (f a)
forall (f :: * -> *) a.
Read1 f =>
ReadPrec a -> ReadPrec [a] -> ReadPrec (f a)
liftReadPrec ReadPrec a
forall a. Read a => ReadPrec a
readPrec ReadPrec [a]
forall a. Read a => ReadPrec [a]
readListPrec

-- | A possible replacement definition for the 'liftReadList' method.
-- This is only needed for 'Read1' instances where 'liftReadListPrec' isn't
-- defined as 'liftReadListPrecDefault'.
--
-- @since 4.10.0.0
liftReadListDefault :: Read1 f => (Int -> ReadS a) -> ReadS [a] -> ReadS [f a]
liftReadListDefault :: forall (f :: * -> *) a.
Read1 f =>
(Int -> ReadS a) -> ReadS [a] -> ReadS [f a]
liftReadListDefault Int -> ReadS a
rp ReadS [a]
rl = ReadPrec [f a] -> Int -> ReadS [f a]
forall a. ReadPrec a -> Int -> ReadS a
readPrec_to_S
    (ReadPrec a -> ReadPrec [a] -> ReadPrec [f a]
forall (f :: * -> *) a.
Read1 f =>
ReadPrec a -> ReadPrec [a] -> ReadPrec [f a]
liftReadListPrec ((Int -> ReadS a) -> ReadPrec a
forall a. (Int -> ReadS a) -> ReadPrec a
readS_to_Prec Int -> ReadS a
rp) ((Int -> ReadS [a]) -> ReadPrec [a]
forall a. (Int -> ReadS a) -> ReadPrec a
readS_to_Prec (ReadS [a] -> Int -> ReadS [a]
forall a b. a -> b -> a
const ReadS [a]
rl))) Int
0

-- | A possible replacement definition for the 'liftReadListPrec' method,
-- defined using 'liftReadPrec'.
--
-- @since 4.10.0.0
liftReadListPrecDefault :: Read1 f => ReadPrec a -> ReadPrec [a]
                        -> ReadPrec [f a]
liftReadListPrecDefault :: forall (f :: * -> *) a.
Read1 f =>
ReadPrec a -> ReadPrec [a] -> ReadPrec [f a]
liftReadListPrecDefault ReadPrec a
rp ReadPrec [a]
rl = ReadPrec (f a) -> ReadPrec [f a]
forall a. ReadPrec a -> ReadPrec [a]
list (ReadPrec a -> ReadPrec [a] -> ReadPrec (f a)
forall (f :: * -> *) a.
Read1 f =>
ReadPrec a -> ReadPrec [a] -> ReadPrec (f a)
liftReadPrec ReadPrec a
rp ReadPrec [a]
rl)

-- | Lifting of the 'Show' class to unary type constructors.
--
-- @since 4.9.0.0
class Show1 f where
    -- | 'showsPrec' function for an application of the type constructor
    -- based on 'showsPrec' and 'showList' functions for the argument type.
    --
    -- @since 4.9.0.0
    liftShowsPrec :: (Int -> a -> ShowS) -> ([a] -> ShowS) ->
        Int -> f a -> ShowS

    -- | 'showList' function for an application of the type constructor
    -- based on 'showsPrec' and 'showList' functions for the argument type.
    -- The default implementation using standard list syntax is correct
    -- for most types.
    --
    -- @since 4.9.0.0
    liftShowList :: (Int -> a -> ShowS) -> ([a] -> ShowS) ->
        [f a] -> ShowS
    liftShowList Int -> a -> ShowS
sp [a] -> ShowS
sl = (f a -> ShowS) -> [f a] -> ShowS
forall a. (a -> ShowS) -> [a] -> ShowS
showListWith ((Int -> a -> ShowS) -> ([a] -> ShowS) -> Int -> f a -> ShowS
forall (f :: * -> *) a.
Show1 f =>
(Int -> a -> ShowS) -> ([a] -> ShowS) -> Int -> f a -> ShowS
liftShowsPrec Int -> a -> ShowS
sp [a] -> ShowS
sl Int
0)

-- | Lift the standard 'showsPrec' and 'showList' functions through the
-- type constructor.
--
-- @since 4.9.0.0
showsPrec1 :: (Show1 f, Show a) => Int -> f a -> ShowS
showsPrec1 :: forall (f :: * -> *) a. (Show1 f, Show a) => Int -> f a -> ShowS
showsPrec1 = (Int -> a -> ShowS) -> ([a] -> ShowS) -> Int -> f a -> ShowS
forall (f :: * -> *) a.
Show1 f =>
(Int -> a -> ShowS) -> ([a] -> ShowS) -> Int -> f a -> ShowS
liftShowsPrec Int -> a -> ShowS
forall a. Show a => Int -> a -> ShowS
showsPrec [a] -> ShowS
forall a. Show a => [a] -> ShowS
showList

-- | Lifting of the 'Eq' class to binary type constructors.
--
-- @since 4.9.0.0
class Eq2 f where
    -- | Lift equality tests through the type constructor.
    --
    -- The function will usually be applied to equality functions,
    -- but the more general type ensures that the implementation uses
    -- them to compare elements of the first container with elements of
    -- the second.
    --
    -- @since 4.9.0.0
    liftEq2 :: (a -> b -> Bool) -> (c -> d -> Bool) -> f a c -> f b d -> Bool

-- | Lift the standard @('==')@ function through the type constructor.
--
-- @since 4.9.0.0
eq2 :: (Eq2 f, Eq a, Eq b) => f a b -> f a b -> Bool
eq2 :: forall (f :: * -> * -> *) a b.
(Eq2 f, Eq a, Eq b) =>
f a b -> f a b -> Bool
eq2 = (a -> a -> Bool) -> (b -> b -> Bool) -> f a b -> f a b -> Bool
forall (f :: * -> * -> *) a b c d.
Eq2 f =>
(a -> b -> Bool) -> (c -> d -> Bool) -> f a c -> f b d -> Bool
liftEq2 a -> a -> Bool
forall a. Eq a => a -> a -> Bool
(==) b -> b -> Bool
forall a. Eq a => a -> a -> Bool
(==)

-- | Lifting of the 'Ord' class to binary type constructors.
--
-- @since 4.9.0.0
class (Eq2 f) => Ord2 f where
    -- | Lift 'compare' functions through the type constructor.
    --
    -- The function will usually be applied to comparison functions,
    -- but the more general type ensures that the implementation uses
    -- them to compare elements of the first container with elements of
    -- the second.
    --
    -- @since 4.9.0.0
    liftCompare2 :: (a -> b -> Ordering) -> (c -> d -> Ordering) ->
        f a c -> f b d -> Ordering

-- | Lift the standard 'compare' function through the type constructor.
--
-- @since 4.9.0.0
compare2 :: (Ord2 f, Ord a, Ord b) => f a b -> f a b -> Ordering
compare2 :: forall (f :: * -> * -> *) a b.
(Ord2 f, Ord a, Ord b) =>
f a b -> f a b -> Ordering
compare2 = (a -> a -> Ordering)
-> (b -> b -> Ordering) -> f a b -> f a b -> Ordering
forall (f :: * -> * -> *) a b c d.
Ord2 f =>
(a -> b -> Ordering)
-> (c -> d -> Ordering) -> f a c -> f b d -> Ordering
liftCompare2 a -> a -> Ordering
forall a. Ord a => a -> a -> Ordering
compare b -> b -> Ordering
forall a. Ord a => a -> a -> Ordering
compare

-- | Lifting of the 'Read' class to binary type constructors.
--
-- Both 'liftReadsPrec2' and 'liftReadPrec2' exist to match the interface
-- provided in the 'Read' type class, but it is recommended to implement
-- 'Read2' instances using 'liftReadPrec2' as opposed to 'liftReadsPrec2',
-- since the former is more efficient than the latter. For example:
--
-- @
-- instance 'Read2' T where
--   'liftReadPrec2'     = ...
--   'liftReadListPrec2' = 'liftReadListPrec2Default'
-- @
--
-- For more information, refer to the documentation for the 'Read' class.
-- @since 4.9.0.0
class Read2 f where
    {-# MINIMAL liftReadsPrec2 | liftReadPrec2 #-}

    -- | 'readsPrec' function for an application of the type constructor
    -- based on 'readsPrec' and 'readList' functions for the argument types.
    --
    -- @since 4.9.0.0
    liftReadsPrec2 :: (Int -> ReadS a) -> ReadS [a] ->
        (Int -> ReadS b) -> ReadS [b] -> Int -> ReadS (f a b)
    liftReadsPrec2 Int -> ReadS a
rp1 ReadS [a]
rl1 Int -> ReadS b
rp2 ReadS [b]
rl2 = ReadPrec (f a b) -> Int -> ReadS (f a b)
forall a. ReadPrec a -> Int -> ReadS a
readPrec_to_S (ReadPrec (f a b) -> Int -> ReadS (f a b))
-> ReadPrec (f a b) -> Int -> ReadS (f a b)
forall a b. (a -> b) -> a -> b
$
        ReadPrec a
-> ReadPrec [a] -> ReadPrec b -> ReadPrec [b] -> ReadPrec (f a b)
forall (f :: * -> * -> *) a b.
Read2 f =>
ReadPrec a
-> ReadPrec [a] -> ReadPrec b -> ReadPrec [b] -> ReadPrec (f a b)
liftReadPrec2 ((Int -> ReadS a) -> ReadPrec a
forall a. (Int -> ReadS a) -> ReadPrec a
readS_to_Prec Int -> ReadS a
rp1) ((Int -> ReadS [a]) -> ReadPrec [a]
forall a. (Int -> ReadS a) -> ReadPrec a
readS_to_Prec (ReadS [a] -> Int -> ReadS [a]
forall a b. a -> b -> a
const ReadS [a]
rl1))
                      ((Int -> ReadS b) -> ReadPrec b
forall a. (Int -> ReadS a) -> ReadPrec a
readS_to_Prec Int -> ReadS b
rp2) ((Int -> ReadS [b]) -> ReadPrec [b]
forall a. (Int -> ReadS a) -> ReadPrec a
readS_to_Prec (ReadS [b] -> Int -> ReadS [b]
forall a b. a -> b -> a
const ReadS [b]
rl2))

    -- | 'readList' function for an application of the type constructor
    -- based on 'readsPrec' and 'readList' functions for the argument types.
    -- The default implementation using standard list syntax is correct
    -- for most types.
    --
    -- @since 4.9.0.0
    liftReadList2 :: (Int -> ReadS a) -> ReadS [a] ->
        (Int -> ReadS b) -> ReadS [b] -> ReadS [f a b]
    liftReadList2 Int -> ReadS a
rp1 ReadS [a]
rl1 Int -> ReadS b
rp2 ReadS [b]
rl2 = ReadPrec [f a b] -> Int -> ReadS [f a b]
forall a. ReadPrec a -> Int -> ReadS a
readPrec_to_S
       (ReadPrec (f a b) -> ReadPrec [f a b]
forall a. ReadPrec a -> ReadPrec [a]
list (ReadPrec (f a b) -> ReadPrec [f a b])
-> ReadPrec (f a b) -> ReadPrec [f a b]
forall a b. (a -> b) -> a -> b
$ ReadPrec a
-> ReadPrec [a] -> ReadPrec b -> ReadPrec [b] -> ReadPrec (f a b)
forall (f :: * -> * -> *) a b.
Read2 f =>
ReadPrec a
-> ReadPrec [a] -> ReadPrec b -> ReadPrec [b] -> ReadPrec (f a b)
liftReadPrec2 ((Int -> ReadS a) -> ReadPrec a
forall a. (Int -> ReadS a) -> ReadPrec a
readS_to_Prec Int -> ReadS a
rp1) ((Int -> ReadS [a]) -> ReadPrec [a]
forall a. (Int -> ReadS a) -> ReadPrec a
readS_to_Prec (ReadS [a] -> Int -> ReadS [a]
forall a b. a -> b -> a
const ReadS [a]
rl1))
                             ((Int -> ReadS b) -> ReadPrec b
forall a. (Int -> ReadS a) -> ReadPrec a
readS_to_Prec Int -> ReadS b
rp2) ((Int -> ReadS [b]) -> ReadPrec [b]
forall a. (Int -> ReadS a) -> ReadPrec a
readS_to_Prec (ReadS [b] -> Int -> ReadS [b]
forall a b. a -> b -> a
const ReadS [b]
rl2))) Int
0

    -- | 'readPrec' function for an application of the type constructor
    -- based on 'readPrec' and 'readListPrec' functions for the argument types.
    --
    -- @since 4.10.0.0
    liftReadPrec2 :: ReadPrec a -> ReadPrec [a] ->
        ReadPrec b -> ReadPrec [b] -> ReadPrec (f a b)
    liftReadPrec2 ReadPrec a
rp1 ReadPrec [a]
rl1 ReadPrec b
rp2 ReadPrec [b]
rl2 = (Int -> ReadS (f a b)) -> ReadPrec (f a b)
forall a. (Int -> ReadS a) -> ReadPrec a
readS_to_Prec ((Int -> ReadS (f a b)) -> ReadPrec (f a b))
-> (Int -> ReadS (f a b)) -> ReadPrec (f a b)
forall a b. (a -> b) -> a -> b
$
        (Int -> ReadS a)
-> ReadS [a]
-> (Int -> ReadS b)
-> ReadS [b]
-> Int
-> ReadS (f a b)
forall (f :: * -> * -> *) a b.
Read2 f =>
(Int -> ReadS a)
-> ReadS [a]
-> (Int -> ReadS b)
-> ReadS [b]
-> Int
-> ReadS (f a b)
liftReadsPrec2 (ReadPrec a -> Int -> ReadS a
forall a. ReadPrec a -> Int -> ReadS a
readPrec_to_S ReadPrec a
rp1) (ReadPrec [a] -> Int -> ReadS [a]
forall a. ReadPrec a -> Int -> ReadS a
readPrec_to_S ReadPrec [a]
rl1 Int
0)
                       (ReadPrec b -> Int -> ReadS b
forall a. ReadPrec a -> Int -> ReadS a
readPrec_to_S ReadPrec b
rp2) (ReadPrec [b] -> Int -> ReadS [b]
forall a. ReadPrec a -> Int -> ReadS a
readPrec_to_S ReadPrec [b]
rl2 Int
0)

    -- | 'readListPrec' function for an application of the type constructor
    -- based on 'readPrec' and 'readListPrec' functions for the argument types.
    --
    -- The default definition uses 'liftReadList2'. Instances that define
    -- 'liftReadPrec2' should also define 'liftReadListPrec2' as
    -- 'liftReadListPrec2Default'.
    --
    -- @since 4.10.0.0
    liftReadListPrec2 :: ReadPrec a -> ReadPrec [a] ->
        ReadPrec b -> ReadPrec [b] -> ReadPrec [f a b]
    liftReadListPrec2 ReadPrec a
rp1 ReadPrec [a]
rl1 ReadPrec b
rp2 ReadPrec [b]
rl2 = (Int -> ReadS [f a b]) -> ReadPrec [f a b]
forall a. (Int -> ReadS a) -> ReadPrec a
readS_to_Prec ((Int -> ReadS [f a b]) -> ReadPrec [f a b])
-> (Int -> ReadS [f a b]) -> ReadPrec [f a b]
forall a b. (a -> b) -> a -> b
$ \Int
_ ->
        (Int -> ReadS a)
-> ReadS [a] -> (Int -> ReadS b) -> ReadS [b] -> ReadS [f a b]
forall (f :: * -> * -> *) a b.
Read2 f =>
(Int -> ReadS a)
-> ReadS [a] -> (Int -> ReadS b) -> ReadS [b] -> ReadS [f a b]
liftReadList2 (ReadPrec a -> Int -> ReadS a
forall a. ReadPrec a -> Int -> ReadS a
readPrec_to_S ReadPrec a
rp1) (ReadPrec [a] -> Int -> ReadS [a]
forall a. ReadPrec a -> Int -> ReadS a
readPrec_to_S ReadPrec [a]
rl1 Int
0)
                      (ReadPrec b -> Int -> ReadS b
forall a. ReadPrec a -> Int -> ReadS a
readPrec_to_S ReadPrec b
rp2) (ReadPrec [b] -> Int -> ReadS [b]
forall a. ReadPrec a -> Int -> ReadS a
readPrec_to_S ReadPrec [b]
rl2 Int
0)

-- | Lift the standard 'readsPrec' function through the type constructor.
--
-- @since 4.9.0.0
readsPrec2 :: (Read2 f, Read a, Read b) => Int -> ReadS (f a b)
readsPrec2 :: forall (f :: * -> * -> *) a b.
(Read2 f, Read a, Read b) =>
Int -> ReadS (f a b)
readsPrec2 = (Int -> ReadS a)
-> ReadS [a]
-> (Int -> ReadS b)
-> ReadS [b]
-> Int
-> ReadS (f a b)
forall (f :: * -> * -> *) a b.
Read2 f =>
(Int -> ReadS a)
-> ReadS [a]
-> (Int -> ReadS b)
-> ReadS [b]
-> Int
-> ReadS (f a b)
liftReadsPrec2 Int -> ReadS a
forall a. Read a => Int -> ReadS a
readsPrec ReadS [a]
forall a. Read a => ReadS [a]
readList Int -> ReadS b
forall a. Read a => Int -> ReadS a
readsPrec ReadS [b]
forall a. Read a => ReadS [a]
readList

-- | Lift the standard 'readPrec' function through the type constructor.
--
-- @since 4.10.0.0
readPrec2 :: (Read2 f, Read a, Read b) => ReadPrec (f a b)
readPrec2 :: forall (f :: * -> * -> *) a b.
(Read2 f, Read a, Read b) =>
ReadPrec (f a b)
readPrec2 = ReadPrec a
-> ReadPrec [a] -> ReadPrec b -> ReadPrec [b] -> ReadPrec (f a b)
forall (f :: * -> * -> *) a b.
Read2 f =>
ReadPrec a
-> ReadPrec [a] -> ReadPrec b -> ReadPrec [b] -> ReadPrec (f a b)
liftReadPrec2 ReadPrec a
forall a. Read a => ReadPrec a
readPrec ReadPrec [a]
forall a. Read a => ReadPrec [a]
readListPrec ReadPrec b
forall a. Read a => ReadPrec a
readPrec ReadPrec [b]
forall a. Read a => ReadPrec [a]
readListPrec

-- | A possible replacement definition for the 'liftReadList2' method.
-- This is only needed for 'Read2' instances where 'liftReadListPrec2' isn't
-- defined as 'liftReadListPrec2Default'.
--
-- @since 4.10.0.0
liftReadList2Default :: Read2 f => (Int -> ReadS a) -> ReadS [a] ->
    (Int -> ReadS b) -> ReadS [b] ->ReadS [f a b]
liftReadList2Default :: forall (f :: * -> * -> *) a b.
Read2 f =>
(Int -> ReadS a)
-> ReadS [a] -> (Int -> ReadS b) -> ReadS [b] -> ReadS [f a b]
liftReadList2Default Int -> ReadS a
rp1 ReadS [a]
rl1 Int -> ReadS b
rp2 ReadS [b]
rl2 = ReadPrec [f a b] -> Int -> ReadS [f a b]
forall a. ReadPrec a -> Int -> ReadS a
readPrec_to_S
    (ReadPrec a
-> ReadPrec [a] -> ReadPrec b -> ReadPrec [b] -> ReadPrec [f a b]
forall (f :: * -> * -> *) a b.
Read2 f =>
ReadPrec a
-> ReadPrec [a] -> ReadPrec b -> ReadPrec [b] -> ReadPrec [f a b]
liftReadListPrec2 ((Int -> ReadS a) -> ReadPrec a
forall a. (Int -> ReadS a) -> ReadPrec a
readS_to_Prec Int -> ReadS a
rp1) ((Int -> ReadS [a]) -> ReadPrec [a]
forall a. (Int -> ReadS a) -> ReadPrec a
readS_to_Prec (ReadS [a] -> Int -> ReadS [a]
forall a b. a -> b -> a
const ReadS [a]
rl1))
                       ((Int -> ReadS b) -> ReadPrec b
forall a. (Int -> ReadS a) -> ReadPrec a
readS_to_Prec Int -> ReadS b
rp2) ((Int -> ReadS [b]) -> ReadPrec [b]
forall a. (Int -> ReadS a) -> ReadPrec a
readS_to_Prec (ReadS [b] -> Int -> ReadS [b]
forall a b. a -> b -> a
const ReadS [b]
rl2))) Int
0

-- | A possible replacement definition for the 'liftReadListPrec2' method,
-- defined using 'liftReadPrec2'.
--
-- @since 4.10.0.0
liftReadListPrec2Default :: Read2 f => ReadPrec a -> ReadPrec [a] ->
    ReadPrec b -> ReadPrec [b] -> ReadPrec [f a b]
liftReadListPrec2Default :: forall (f :: * -> * -> *) a b.
Read2 f =>
ReadPrec a
-> ReadPrec [a] -> ReadPrec b -> ReadPrec [b] -> ReadPrec [f a b]
liftReadListPrec2Default ReadPrec a
rp1 ReadPrec [a]
rl1 ReadPrec b
rp2 ReadPrec [b]
rl2 = ReadPrec (f a b) -> ReadPrec [f a b]
forall a. ReadPrec a -> ReadPrec [a]
list (ReadPrec a
-> ReadPrec [a] -> ReadPrec b -> ReadPrec [b] -> ReadPrec (f a b)
forall (f :: * -> * -> *) a b.
Read2 f =>
ReadPrec a
-> ReadPrec [a] -> ReadPrec b -> ReadPrec [b] -> ReadPrec (f a b)
liftReadPrec2 ReadPrec a
rp1 ReadPrec [a]
rl1 ReadPrec b
rp2 ReadPrec [b]
rl2)

-- | Lifting of the 'Show' class to binary type constructors.
--
-- @since 4.9.0.0
class Show2 f where
    -- | 'showsPrec' function for an application of the type constructor
    -- based on 'showsPrec' and 'showList' functions for the argument types.
    --
    -- @since 4.9.0.0
    liftShowsPrec2 :: (Int -> a -> ShowS) -> ([a] -> ShowS) ->
        (Int -> b -> ShowS) -> ([b] -> ShowS) -> Int -> f a b -> ShowS

    -- | 'showList' function for an application of the type constructor
    -- based on 'showsPrec' and 'showList' functions for the argument types.
    -- The default implementation using standard list syntax is correct
    -- for most types.
    --
    -- @since 4.9.0.0
    liftShowList2 :: (Int -> a -> ShowS) -> ([a] -> ShowS) ->
        (Int -> b -> ShowS) -> ([b] -> ShowS) -> [f a b] -> ShowS
    liftShowList2 Int -> a -> ShowS
sp1 [a] -> ShowS
sl1 Int -> b -> ShowS
sp2 [b] -> ShowS
sl2 =
        (f a b -> ShowS) -> [f a b] -> ShowS
forall a. (a -> ShowS) -> [a] -> ShowS
showListWith ((Int -> a -> ShowS)
-> ([a] -> ShowS)
-> (Int -> b -> ShowS)
-> ([b] -> ShowS)
-> Int
-> f a b
-> ShowS
forall (f :: * -> * -> *) a b.
Show2 f =>
(Int -> a -> ShowS)
-> ([a] -> ShowS)
-> (Int -> b -> ShowS)
-> ([b] -> ShowS)
-> Int
-> f a b
-> ShowS
liftShowsPrec2 Int -> a -> ShowS
sp1 [a] -> ShowS
sl1 Int -> b -> ShowS
sp2 [b] -> ShowS
sl2 Int
0)

-- | Lift the standard 'showsPrec' function through the type constructor.
--
-- @since 4.9.0.0
showsPrec2 :: (Show2 f, Show a, Show b) => Int -> f a b -> ShowS
showsPrec2 :: forall (f :: * -> * -> *) a b.
(Show2 f, Show a, Show b) =>
Int -> f a b -> ShowS
showsPrec2 = (Int -> a -> ShowS)
-> ([a] -> ShowS)
-> (Int -> b -> ShowS)
-> ([b] -> ShowS)
-> Int
-> f a b
-> ShowS
forall (f :: * -> * -> *) a b.
Show2 f =>
(Int -> a -> ShowS)
-> ([a] -> ShowS)
-> (Int -> b -> ShowS)
-> ([b] -> ShowS)
-> Int
-> f a b
-> ShowS
liftShowsPrec2 Int -> a -> ShowS
forall a. Show a => Int -> a -> ShowS
showsPrec [a] -> ShowS
forall a. Show a => [a] -> ShowS
showList Int -> b -> ShowS
forall a. Show a => Int -> a -> ShowS
showsPrec [b] -> ShowS
forall a. Show a => [a] -> ShowS
showList

-- Instances for Prelude type constructors

-- | @since 4.9.0.0
instance Eq1 Maybe where
    liftEq :: forall a b. (a -> b -> Bool) -> Maybe a -> Maybe b -> Bool
liftEq a -> b -> Bool
_ Maybe a
Nothing Maybe b
Nothing = Bool
True
    liftEq a -> b -> Bool
_ Maybe a
Nothing (Just b
_) = Bool
False
    liftEq a -> b -> Bool
_ (Just a
_) Maybe b
Nothing = Bool
False
    liftEq a -> b -> Bool
eq (Just a
x) (Just b
y) = a -> b -> Bool
eq a
x b
y

-- | @since 4.9.0.0
instance Ord1 Maybe where
    liftCompare :: forall a b. (a -> b -> Ordering) -> Maybe a -> Maybe b -> Ordering
liftCompare a -> b -> Ordering
_ Maybe a
Nothing Maybe b
Nothing = Ordering
EQ
    liftCompare a -> b -> Ordering
_ Maybe a
Nothing (Just b
_) = Ordering
LT
    liftCompare a -> b -> Ordering
_ (Just a
_) Maybe b
Nothing = Ordering
GT
    liftCompare a -> b -> Ordering
comp (Just a
x) (Just b
y) = a -> b -> Ordering
comp a
x b
y

-- | @since 4.9.0.0
instance Read1 Maybe where
    liftReadPrec :: forall a. ReadPrec a -> ReadPrec [a] -> ReadPrec (Maybe a)
liftReadPrec ReadPrec a
rp ReadPrec [a]
_ =
        ReadPrec (Maybe a) -> ReadPrec (Maybe a)
forall a. ReadPrec a -> ReadPrec a
parens (Lexeme -> ReadPrec ()
expectP (String -> Lexeme
Ident String
"Nothing") ReadPrec () -> ReadPrec (Maybe a) -> ReadPrec (Maybe a)
forall (f :: * -> *) a b. Applicative f => f a -> f b -> f b
*> Maybe a -> ReadPrec (Maybe a)
forall (f :: * -> *) a. Applicative f => a -> f a
pure Maybe a
forall a. Maybe a
Nothing)
        ReadPrec (Maybe a) -> ReadPrec (Maybe a) -> ReadPrec (Maybe a)
forall (f :: * -> *) a. Alternative f => f a -> f a -> f a
<|>
        ReadPrec (Maybe a) -> ReadPrec (Maybe a)
forall a. ReadPrec a -> ReadPrec a
readData (ReadPrec a -> String -> (a -> Maybe a) -> ReadPrec (Maybe a)
forall a t. ReadPrec a -> String -> (a -> t) -> ReadPrec t
readUnaryWith ReadPrec a
rp String
"Just" a -> Maybe a
forall a. a -> Maybe a
Just)

    liftReadListPrec :: forall a. ReadPrec a -> ReadPrec [a] -> ReadPrec [Maybe a]
liftReadListPrec = ReadPrec a -> ReadPrec [a] -> ReadPrec [Maybe a]
forall (f :: * -> *) a.
Read1 f =>
ReadPrec a -> ReadPrec [a] -> ReadPrec [f a]
liftReadListPrecDefault
    liftReadList :: forall a. (Int -> ReadS a) -> ReadS [a] -> ReadS [Maybe a]
liftReadList     = (Int -> ReadS a) -> ReadS [a] -> ReadS [Maybe a]
forall (f :: * -> *) a.
Read1 f =>
(Int -> ReadS a) -> ReadS [a] -> ReadS [f a]
liftReadListDefault

-- | @since 4.9.0.0
instance Show1 Maybe where
    liftShowsPrec :: forall a.
(Int -> a -> ShowS) -> ([a] -> ShowS) -> Int -> Maybe a -> ShowS
liftShowsPrec Int -> a -> ShowS
_ [a] -> ShowS
_ Int
_ Maybe a
Nothing = String -> ShowS
showString String
"Nothing"
    liftShowsPrec Int -> a -> ShowS
sp [a] -> ShowS
_ Int
d (Just a
x) = (Int -> a -> ShowS) -> String -> Int -> a -> ShowS
forall a. (Int -> a -> ShowS) -> String -> Int -> a -> ShowS
showsUnaryWith Int -> a -> ShowS
sp String
"Just" Int
d a
x

-- | @since 4.9.0.0
instance Eq1 [] where
    liftEq :: forall a b. (a -> b -> Bool) -> [a] -> [b] -> Bool
liftEq a -> b -> Bool
_ [] [] = Bool
True
    liftEq a -> b -> Bool
_ [] (b
_:[b]
_) = Bool
False
    liftEq a -> b -> Bool
_ (a
_:[a]
_) [] = Bool
False
    liftEq a -> b -> Bool
eq (a
x:[a]
xs) (b
y:[b]
ys) = a -> b -> Bool
eq a
x b
y Bool -> Bool -> Bool
&& (a -> b -> Bool) -> [a] -> [b] -> Bool
forall (f :: * -> *) a b.
Eq1 f =>
(a -> b -> Bool) -> f a -> f b -> Bool
liftEq a -> b -> Bool
eq [a]
xs [b]
ys

-- | @since 4.9.0.0
instance Ord1 [] where
    liftCompare :: forall a b. (a -> b -> Ordering) -> [a] -> [b] -> Ordering
liftCompare a -> b -> Ordering
_ [] [] = Ordering
EQ
    liftCompare a -> b -> Ordering
_ [] (b
_:[b]
_) = Ordering
LT
    liftCompare a -> b -> Ordering
_ (a
_:[a]
_) [] = Ordering
GT
    liftCompare a -> b -> Ordering
comp (a
x:[a]
xs) (b
y:[b]
ys) = a -> b -> Ordering
comp a
x b
y Ordering -> Ordering -> Ordering
forall a. Monoid a => a -> a -> a
`mappend` (a -> b -> Ordering) -> [a] -> [b] -> Ordering
forall (f :: * -> *) a b.
Ord1 f =>
(a -> b -> Ordering) -> f a -> f b -> Ordering
liftCompare a -> b -> Ordering
comp [a]
xs [b]
ys

-- | @since 4.9.0.0
instance Read1 [] where
    liftReadPrec :: forall a. ReadPrec a -> ReadPrec [a] -> ReadPrec [a]
liftReadPrec ReadPrec a
_ ReadPrec [a]
rl = ReadPrec [a]
rl
    liftReadListPrec :: forall a. ReadPrec a -> ReadPrec [a] -> ReadPrec [[a]]
liftReadListPrec  = ReadPrec a -> ReadPrec [a] -> ReadPrec [[a]]
forall (f :: * -> *) a.
Read1 f =>
ReadPrec a -> ReadPrec [a] -> ReadPrec [f a]
liftReadListPrecDefault
    liftReadList :: forall a. (Int -> ReadS a) -> ReadS [a] -> ReadS [[a]]
liftReadList      = (Int -> ReadS a) -> ReadS [a] -> ReadS [[a]]
forall (f :: * -> *) a.
Read1 f =>
(Int -> ReadS a) -> ReadS [a] -> ReadS [f a]
liftReadListDefault

-- | @since 4.9.0.0
instance Show1 [] where
    liftShowsPrec :: forall a.
(Int -> a -> ShowS) -> ([a] -> ShowS) -> Int -> [a] -> ShowS
liftShowsPrec Int -> a -> ShowS
_ [a] -> ShowS
sl Int
_ = [a] -> ShowS
sl

-- | @since 4.10.0.0
instance Eq1 NonEmpty where
  liftEq :: forall a b. (a -> b -> Bool) -> NonEmpty a -> NonEmpty b -> Bool
liftEq a -> b -> Bool
eq (a
a :| [a]
as) (b
b :| [b]
bs) = a -> b -> Bool
eq a
a b
b Bool -> Bool -> Bool
&& (a -> b -> Bool) -> [a] -> [b] -> Bool
forall (f :: * -> *) a b.
Eq1 f =>
(a -> b -> Bool) -> f a -> f b -> Bool
liftEq a -> b -> Bool
eq [a]
as [b]
bs

-- | @since 4.10.0.0
instance Ord1 NonEmpty where
  liftCompare :: forall a b.
(a -> b -> Ordering) -> NonEmpty a -> NonEmpty b -> Ordering
liftCompare a -> b -> Ordering
cmp (a
a :| [a]
as) (b
b :| [b]
bs) = a -> b -> Ordering
cmp a
a b
b Ordering -> Ordering -> Ordering
forall a. Monoid a => a -> a -> a
`mappend` (a -> b -> Ordering) -> [a] -> [b] -> Ordering
forall (f :: * -> *) a b.
Ord1 f =>
(a -> b -> Ordering) -> f a -> f b -> Ordering
liftCompare a -> b -> Ordering
cmp [a]
as [b]
bs

-- | @since 4.10.0.0
instance Read1 NonEmpty where
  liftReadsPrec :: forall a.
(Int -> ReadS a) -> ReadS [a] -> Int -> ReadS (NonEmpty a)
liftReadsPrec Int -> ReadS a
rdP ReadS [a]
rdL Int
p String
s = Bool -> ReadS (NonEmpty a) -> ReadS (NonEmpty a)
forall a. Bool -> ReadS a -> ReadS a
readParen (Int
p Int -> Int -> Bool
forall a. Ord a => a -> a -> Bool
> Int
5) (\String
s' -> do
    (a
a, String
s'') <- Int -> ReadS a
rdP Int
6 String
s'
    (String
":|", String
s''') <- ReadS String
lex String
s''
    ([a]
as, String
s'''') <- ReadS [a]
rdL String
s'''
    (NonEmpty a, String) -> [(NonEmpty a, String)]
forall (m :: * -> *) a. Monad m => a -> m a
return (a
a a -> [a] -> NonEmpty a
forall a. a -> [a] -> NonEmpty a
:| [a]
as, String
s'''')) String
s

-- | @since 4.10.0.0
instance Show1 NonEmpty where
  liftShowsPrec :: forall a.
(Int -> a -> ShowS) -> ([a] -> ShowS) -> Int -> NonEmpty a -> ShowS
liftShowsPrec Int -> a -> ShowS
shwP [a] -> ShowS
shwL Int
p (a
a :| [a]
as) = Bool -> ShowS -> ShowS
showParen (Int
p Int -> Int -> Bool
forall a. Ord a => a -> a -> Bool
> Int
5) (ShowS -> ShowS) -> ShowS -> ShowS
forall a b. (a -> b) -> a -> b
$
    Int -> a -> ShowS
shwP Int
6 a
a ShowS -> ShowS -> ShowS
forall b c a. (b -> c) -> (a -> b) -> a -> c
. String -> ShowS
showString String
" :| " ShowS -> ShowS -> ShowS
forall b c a. (b -> c) -> (a -> b) -> a -> c
. [a] -> ShowS
shwL [a]
as


-- | @since 4.9.0.0
instance Eq2 (,) where
    liftEq2 :: forall a b c d.
(a -> b -> Bool) -> (c -> d -> Bool) -> (a, c) -> (b, d) -> Bool
liftEq2 a -> b -> Bool
e1 c -> d -> Bool
e2 (a
x1, c
y1) (b
x2, d
y2) = a -> b -> Bool
e1 a
x1 b
x2 Bool -> Bool -> Bool
&& c -> d -> Bool
e2 c
y1 d
y2

-- | @since 4.9.0.0
instance Ord2 (,) where
    liftCompare2 :: forall a b c d.
(a -> b -> Ordering)
-> (c -> d -> Ordering) -> (a, c) -> (b, d) -> Ordering
liftCompare2 a -> b -> Ordering
comp1 c -> d -> Ordering
comp2 (a
x1, c
y1) (b
x2, d
y2) =
        a -> b -> Ordering
comp1 a
x1 b
x2 Ordering -> Ordering -> Ordering
forall a. Monoid a => a -> a -> a
`mappend` c -> d -> Ordering
comp2 c
y1 d
y2

-- | @since 4.9.0.0
instance Read2 (,) where
    liftReadPrec2 :: forall a b.
ReadPrec a
-> ReadPrec [a] -> ReadPrec b -> ReadPrec [b] -> ReadPrec (a, b)
liftReadPrec2 ReadPrec a
rp1 ReadPrec [a]
_ ReadPrec b
rp2 ReadPrec [b]
_ = ReadPrec (a, b) -> ReadPrec (a, b)
forall a. ReadPrec a -> ReadPrec a
parens (ReadPrec (a, b) -> ReadPrec (a, b))
-> ReadPrec (a, b) -> ReadPrec (a, b)
forall a b. (a -> b) -> a -> b
$ ReadPrec (a, b) -> ReadPrec (a, b)
forall a. ReadPrec a -> ReadPrec a
paren (ReadPrec (a, b) -> ReadPrec (a, b))
-> ReadPrec (a, b) -> ReadPrec (a, b)
forall a b. (a -> b) -> a -> b
$ do
        a
x <- ReadPrec a
rp1
        Lexeme -> ReadPrec ()
expectP (String -> Lexeme
Punc String
",")
        b
y <- ReadPrec b
rp2
        (a, b) -> ReadPrec (a, b)
forall (m :: * -> *) a. Monad m => a -> m a
return (a
x,b
y)

    liftReadListPrec2 :: forall a b.
ReadPrec a
-> ReadPrec [a] -> ReadPrec b -> ReadPrec [b] -> ReadPrec [(a, b)]
liftReadListPrec2 = ReadPrec a
-> ReadPrec [a] -> ReadPrec b -> ReadPrec [b] -> ReadPrec [(a, b)]
forall (f :: * -> * -> *) a b.
Read2 f =>
ReadPrec a
-> ReadPrec [a] -> ReadPrec b -> ReadPrec [b] -> ReadPrec [f a b]
liftReadListPrec2Default
    liftReadList2 :: forall a b.
(Int -> ReadS a)
-> ReadS [a] -> (Int -> ReadS b) -> ReadS [b] -> ReadS [(a, b)]
liftReadList2     = (Int -> ReadS a)
-> ReadS [a] -> (Int -> ReadS b) -> ReadS [b] -> ReadS [(a, b)]
forall (f :: * -> * -> *) a b.
Read2 f =>
(Int -> ReadS a)
-> ReadS [a] -> (Int -> ReadS b) -> ReadS [b] -> ReadS [f a b]
liftReadList2Default

-- | @since 4.9.0.0
instance Show2 (,) where
    liftShowsPrec2 :: forall a b.
(Int -> a -> ShowS)
-> ([a] -> ShowS)
-> (Int -> b -> ShowS)
-> ([b] -> ShowS)
-> Int
-> (a, b)
-> ShowS
liftShowsPrec2 Int -> a -> ShowS
sp1 [a] -> ShowS
_ Int -> b -> ShowS
sp2 [b] -> ShowS
_ Int
_ (a
x, b
y) =
        Char -> ShowS
showChar Char
'(' ShowS -> ShowS -> ShowS
forall b c a. (b -> c) -> (a -> b) -> a -> c
. Int -> a -> ShowS
sp1 Int
0 a
x ShowS -> ShowS -> ShowS
forall b c a. (b -> c) -> (a -> b) -> a -> c
. Char -> ShowS
showChar Char
',' ShowS -> ShowS -> ShowS
forall b c a. (b -> c) -> (a -> b) -> a -> c
. Int -> b -> ShowS
sp2 Int
0 b
y ShowS -> ShowS -> ShowS
forall b c a. (b -> c) -> (a -> b) -> a -> c
. Char -> ShowS
showChar Char
')'

-- | @since 4.15
instance Eq1 Solo where
  liftEq :: forall a b. (a -> b -> Bool) -> Solo a -> Solo b -> Bool
liftEq a -> b -> Bool
eq (Solo a
a) (Solo b
b) = a
a a -> b -> Bool
`eq` b
b

-- | @since 4.9.0.0
instance (Eq a) => Eq1 ((,) a) where
    liftEq :: forall a b. (a -> b -> Bool) -> (a, a) -> (a, b) -> Bool
liftEq = (a -> a -> Bool) -> (a -> b -> Bool) -> (a, a) -> (a, b) -> Bool
forall (f :: * -> * -> *) a b c d.
Eq2 f =>
(a -> b -> Bool) -> (c -> d -> Bool) -> f a c -> f b d -> Bool
liftEq2 a -> a -> Bool
forall a. Eq a => a -> a -> Bool
(==)

-- | @since 4.15
instance Ord1 Solo where
  liftCompare :: forall a b. (a -> b -> Ordering) -> Solo a -> Solo b -> Ordering
liftCompare a -> b -> Ordering
cmp (Solo a
a) (Solo b
b) = a -> b -> Ordering
cmp a
a b
b

-- | @since 4.9.0.0
instance (Ord a) => Ord1 ((,) a) where
    liftCompare :: forall a b. (a -> b -> Ordering) -> (a, a) -> (a, b) -> Ordering
liftCompare = (a -> a -> Ordering)
-> (a -> b -> Ordering) -> (a, a) -> (a, b) -> Ordering
forall (f :: * -> * -> *) a b c d.
Ord2 f =>
(a -> b -> Ordering)
-> (c -> d -> Ordering) -> f a c -> f b d -> Ordering
liftCompare2 a -> a -> Ordering
forall a. Ord a => a -> a -> Ordering
compare

-- | @since 4.15
instance Read1 Solo where
    liftReadPrec :: forall a. ReadPrec a -> ReadPrec [a] -> ReadPrec (Solo a)
liftReadPrec ReadPrec a
rp ReadPrec [a]
_ = ReadPrec (Solo a) -> ReadPrec (Solo a)
forall a. ReadPrec a -> ReadPrec a
readData (ReadPrec a -> String -> (a -> Solo a) -> ReadPrec (Solo a)
forall a t. ReadPrec a -> String -> (a -> t) -> ReadPrec t
readUnaryWith ReadPrec a
rp String
"Solo" a -> Solo a
forall a. a -> Solo a
Solo)

    liftReadListPrec :: forall a. ReadPrec a -> ReadPrec [a] -> ReadPrec [Solo a]
liftReadListPrec = ReadPrec a -> ReadPrec [a] -> ReadPrec [Solo a]
forall (f :: * -> *) a.
Read1 f =>
ReadPrec a -> ReadPrec [a] -> ReadPrec [f a]
liftReadListPrecDefault
    liftReadList :: forall a. (Int -> ReadS a) -> ReadS [a] -> ReadS [Solo a]
liftReadList     = (Int -> ReadS a) -> ReadS [a] -> ReadS [Solo a]
forall (f :: * -> *) a.
Read1 f =>
(Int -> ReadS a) -> ReadS [a] -> ReadS [f a]
liftReadListDefault

-- | @since 4.9.0.0
instance (Read a) => Read1 ((,) a) where
    liftReadPrec :: forall a. ReadPrec a -> ReadPrec [a] -> ReadPrec (a, a)
liftReadPrec = ReadPrec a
-> ReadPrec [a] -> ReadPrec a -> ReadPrec [a] -> ReadPrec (a, a)
forall (f :: * -> * -> *) a b.
Read2 f =>
ReadPrec a
-> ReadPrec [a] -> ReadPrec b -> ReadPrec [b] -> ReadPrec (f a b)
liftReadPrec2 ReadPrec a
forall a. Read a => ReadPrec a
readPrec ReadPrec [a]
forall a. Read a => ReadPrec [a]
readListPrec

    liftReadListPrec :: forall a. ReadPrec a -> ReadPrec [a] -> ReadPrec [(a, a)]
liftReadListPrec = ReadPrec a -> ReadPrec [a] -> ReadPrec [(a, a)]
forall (f :: * -> *) a.
Read1 f =>
ReadPrec a -> ReadPrec [a] -> ReadPrec [f a]
liftReadListPrecDefault
    liftReadList :: forall a. (Int -> ReadS a) -> ReadS [a] -> ReadS [(a, a)]
liftReadList     = (Int -> ReadS a) -> ReadS [a] -> ReadS [(a, a)]
forall (f :: * -> *) a.
Read1 f =>
(Int -> ReadS a) -> ReadS [a] -> ReadS [f a]
liftReadListDefault

-- | @since 4.15
instance Show1 Solo where
    liftShowsPrec :: forall a.
(Int -> a -> ShowS) -> ([a] -> ShowS) -> Int -> Solo a -> ShowS
liftShowsPrec Int -> a -> ShowS
sp [a] -> ShowS
_ Int
d (Solo a
x) = (Int -> a -> ShowS) -> String -> Int -> a -> ShowS
forall a. (Int -> a -> ShowS) -> String -> Int -> a -> ShowS
showsUnaryWith Int -> a -> ShowS
sp String
"Solo" Int
d a
x

-- | @since 4.9.0.0
instance (Show a) => Show1 ((,) a) where
    liftShowsPrec :: forall a.
(Int -> a -> ShowS) -> ([a] -> ShowS) -> Int -> (a, a) -> ShowS
liftShowsPrec = (Int -> a -> ShowS)
-> ([a] -> ShowS)
-> (Int -> a -> ShowS)
-> ([a] -> ShowS)
-> Int
-> (a, a)
-> ShowS
forall (f :: * -> * -> *) a b.
Show2 f =>
(Int -> a -> ShowS)
-> ([a] -> ShowS)
-> (Int -> b -> ShowS)
-> ([b] -> ShowS)
-> Int
-> f a b
-> ShowS
liftShowsPrec2 Int -> a -> ShowS
forall a. Show a => Int -> a -> ShowS
showsPrec [a] -> ShowS
forall a. Show a => [a] -> ShowS
showList


-- | @since 4.16.0.0
--
-- >>> eq2 ('x', True, "str") ('x', True, "str")
-- True
--
instance Eq a => Eq2 ((,,) a) where
    liftEq2 :: forall a b c d.
(a -> b -> Bool)
-> (c -> d -> Bool) -> (a, a, c) -> (a, b, d) -> Bool
liftEq2 a -> b -> Bool
e1 c -> d -> Bool
e2 (a
u1, a
x1, c
y1) (a
v1, b
x2, d
y2) =
        a
u1 a -> a -> Bool
forall a. Eq a => a -> a -> Bool
== a
v1 Bool -> Bool -> Bool
&&
        a -> b -> Bool
e1 a
x1 b
x2 Bool -> Bool -> Bool
&& c -> d -> Bool
e2 c
y1 d
y2

-- | @since 4.16.0.0
--
-- >>> compare2 ('x', True, "aaa") ('x', True, "zzz")
-- LT
instance Ord a => Ord2 ((,,) a) where
    liftCompare2 :: forall a b c d.
(a -> b -> Ordering)
-> (c -> d -> Ordering) -> (a, a, c) -> (a, b, d) -> Ordering
liftCompare2 a -> b -> Ordering
comp1 c -> d -> Ordering
comp2 (a
u1, a
x1, c
y1) (a
v1, b
x2, d
y2) =
        a -> a -> Ordering
forall a. Ord a => a -> a -> Ordering
compare a
u1 a
v1 Ordering -> Ordering -> Ordering
forall a. Monoid a => a -> a -> a
`mappend`
        a -> b -> Ordering
comp1 a
x1 b
x2 Ordering -> Ordering -> Ordering
forall a. Monoid a => a -> a -> a
`mappend` c -> d -> Ordering
comp2 c
y1 d
y2

-- | @since 4.16.0.0
--
-- >>> readPrec_to_S readPrec2 0 "('x', True, 2)" :: [((Char, Bool, Int), String)]
-- [(('x',True,2),"")]
--
instance Read a => Read2 ((,,) a) where
    liftReadPrec2 :: forall a b.
ReadPrec a
-> ReadPrec [a] -> ReadPrec b -> ReadPrec [b] -> ReadPrec (a, a, b)
liftReadPrec2 ReadPrec a
rp1 ReadPrec [a]
_ ReadPrec b
rp2 ReadPrec [b]
_ = ReadPrec (a, a, b) -> ReadPrec (a, a, b)
forall a. ReadPrec a -> ReadPrec a
parens (ReadPrec (a, a, b) -> ReadPrec (a, a, b))
-> ReadPrec (a, a, b) -> ReadPrec (a, a, b)
forall a b. (a -> b) -> a -> b
$ ReadPrec (a, a, b) -> ReadPrec (a, a, b)
forall a. ReadPrec a -> ReadPrec a
paren (ReadPrec (a, a, b) -> ReadPrec (a, a, b))
-> ReadPrec (a, a, b) -> ReadPrec (a, a, b)
forall a b. (a -> b) -> a -> b
$ do
        a
x1 <- ReadPrec a
forall a. Read a => ReadPrec a
readPrec
        Lexeme -> ReadPrec ()
expectP (String -> Lexeme
Punc String
",")
        a
y1 <- ReadPrec a
rp1
        Lexeme -> ReadPrec ()
expectP (String -> Lexeme
Punc String
",")
        b
y2 <- ReadPrec b
rp2
        (a, a, b) -> ReadPrec (a, a, b)
forall (m :: * -> *) a. Monad m => a -> m a
return (a
x1,a
y1,b
y2)

    liftReadListPrec2 :: forall a b.
ReadPrec a
-> ReadPrec [a]
-> ReadPrec b
-> ReadPrec [b]
-> ReadPrec [(a, a, b)]
liftReadListPrec2 = ReadPrec a
-> ReadPrec [a]
-> ReadPrec b
-> ReadPrec [b]
-> ReadPrec [(a, a, b)]
forall (f :: * -> * -> *) a b.
Read2 f =>
ReadPrec a
-> ReadPrec [a] -> ReadPrec b -> ReadPrec [b] -> ReadPrec [f a b]
liftReadListPrec2Default
    liftReadList2 :: forall a b.
(Int -> ReadS a)
-> ReadS [a] -> (Int -> ReadS b) -> ReadS [b] -> ReadS [(a, a, b)]
liftReadList2     = (Int -> ReadS a)
-> ReadS [a] -> (Int -> ReadS b) -> ReadS [b] -> ReadS [(a, a, b)]
forall (f :: * -> * -> *) a b.
Read2 f =>
(Int -> ReadS a)
-> ReadS [a] -> (Int -> ReadS b) -> ReadS [b] -> ReadS [f a b]
liftReadList2Default

-- | @since 4.16.0.0
--
-- >>> showsPrec2 0 ('x', True, 2 :: Int) ""
-- "('x',True,2)"
--
instance Show a => Show2 ((,,) a) where
    liftShowsPrec2 :: forall a b.
(Int -> a -> ShowS)
-> ([a] -> ShowS)
-> (Int -> b -> ShowS)
-> ([b] -> ShowS)
-> Int
-> (a, a, b)
-> ShowS
liftShowsPrec2 Int -> a -> ShowS
sp1 [a] -> ShowS
_ Int -> b -> ShowS
sp2 [b] -> ShowS
_ Int
_ (a
x1,a
y1,b
y2)
        = Char -> ShowS
showChar Char
'(' ShowS -> ShowS -> ShowS
forall b c a. (b -> c) -> (a -> b) -> a -> c
. Int -> a -> ShowS
forall a. Show a => Int -> a -> ShowS
showsPrec Int
0 a
x1
        ShowS -> ShowS -> ShowS
forall b c a. (b -> c) -> (a -> b) -> a -> c
. Char -> ShowS
showChar Char
',' ShowS -> ShowS -> ShowS
forall b c a. (b -> c) -> (a -> b) -> a -> c
. Int -> a -> ShowS
sp1 Int
0 a
y1
        ShowS -> ShowS -> ShowS
forall b c a. (b -> c) -> (a -> b) -> a -> c
. Char -> ShowS
showChar Char
',' ShowS -> ShowS -> ShowS
forall b c a. (b -> c) -> (a -> b) -> a -> c
. Int -> b -> ShowS
sp2 Int
0 b
y2
        ShowS -> ShowS -> ShowS
forall b c a. (b -> c) -> (a -> b) -> a -> c
. Char -> ShowS
showChar Char
')'

-- | @since 4.16.0.0
instance (Eq a, Eq b) => Eq1 ((,,) a b) where
    liftEq :: forall a b. (a -> b -> Bool) -> (a, b, a) -> (a, b, b) -> Bool
liftEq = (b -> b -> Bool)
-> (a -> b -> Bool) -> (a, b, a) -> (a, b, b) -> Bool
forall (f :: * -> * -> *) a b c d.
Eq2 f =>
(a -> b -> Bool) -> (c -> d -> Bool) -> f a c -> f b d -> Bool
liftEq2 b -> b -> Bool
forall a. Eq a => a -> a -> Bool
(==)

-- | @since 4.16.0.0
instance (Ord a, Ord b) => Ord1 ((,,) a b) where
    liftCompare :: forall a b.
(a -> b -> Ordering) -> (a, b, a) -> (a, b, b) -> Ordering
liftCompare = (b -> b -> Ordering)
-> (a -> b -> Ordering) -> (a, b, a) -> (a, b, b) -> Ordering
forall (f :: * -> * -> *) a b c d.
Ord2 f =>
(a -> b -> Ordering)
-> (c -> d -> Ordering) -> f a c -> f b d -> Ordering
liftCompare2 b -> b -> Ordering
forall a. Ord a => a -> a -> Ordering
compare

-- | @since 4.16.0.0
instance (Read a, Read b) => Read1 ((,,) a b) where
    liftReadPrec :: forall a. ReadPrec a -> ReadPrec [a] -> ReadPrec (a, b, a)
liftReadPrec = ReadPrec b
-> ReadPrec [b] -> ReadPrec a -> ReadPrec [a] -> ReadPrec (a, b, a)
forall (f :: * -> * -> *) a b.
Read2 f =>
ReadPrec a
-> ReadPrec [a] -> ReadPrec b -> ReadPrec [b] -> ReadPrec (f a b)
liftReadPrec2 ReadPrec b
forall a. Read a => ReadPrec a
readPrec ReadPrec [b]
forall a. Read a => ReadPrec [a]
readListPrec

    liftReadListPrec :: forall a. ReadPrec a -> ReadPrec [a] -> ReadPrec [(a, b, a)]
liftReadListPrec = ReadPrec a -> ReadPrec [a] -> ReadPrec [(a, b, a)]
forall (f :: * -> *) a.
Read1 f =>
ReadPrec a -> ReadPrec [a] -> ReadPrec [f a]
liftReadListPrecDefault
    liftReadList :: forall a. (Int -> ReadS a) -> ReadS [a] -> ReadS [(a, b, a)]
liftReadList     = (Int -> ReadS a) -> ReadS [a] -> ReadS [(a, b, a)]
forall (f :: * -> *) a.
Read1 f =>
(Int -> ReadS a) -> ReadS [a] -> ReadS [f a]
liftReadListDefault

-- | @since 4.16.0.0
instance (Show a, Show b) => Show1 ((,,) a b) where
    liftShowsPrec :: forall a.
(Int -> a -> ShowS) -> ([a] -> ShowS) -> Int -> (a, b, a) -> ShowS
liftShowsPrec = (Int -> b -> ShowS)
-> ([b] -> ShowS)
-> (Int -> a -> ShowS)
-> ([a] -> ShowS)
-> Int
-> (a, b, a)
-> ShowS
forall (f :: * -> * -> *) a b.
Show2 f =>
(Int -> a -> ShowS)
-> ([a] -> ShowS)
-> (Int -> b -> ShowS)
-> ([b] -> ShowS)
-> Int
-> f a b
-> ShowS
liftShowsPrec2 Int -> b -> ShowS
forall a. Show a => Int -> a -> ShowS
showsPrec [b] -> ShowS
forall a. Show a => [a] -> ShowS
showList


-- | @since 4.16.0.0
--
-- >>> eq2 ('x', True, "str", 2) ('x', True, "str", 2 :: Int)
-- True
--
instance (Eq a, Eq b) => Eq2 ((,,,) a b) where
    liftEq2 :: forall a b c d.
(a -> b -> Bool)
-> (c -> d -> Bool) -> (a, b, a, c) -> (a, b, b, d) -> Bool
liftEq2 a -> b -> Bool
e1 c -> d -> Bool
e2 (a
u1, b
u2, a
x1, c
y1) (a
v1, b
v2, b
x2, d
y2) =
        a
u1 a -> a -> Bool
forall a. Eq a => a -> a -> Bool
== a
v1 Bool -> Bool -> Bool
&&
        b
u2 b -> b -> Bool
forall a. Eq a => a -> a -> Bool
== b
v2 Bool -> Bool -> Bool
&&
        a -> b -> Bool
e1 a
x1 b
x2 Bool -> Bool -> Bool
&& c -> d -> Bool
e2 c
y1 d
y2

-- | @since 4.16.0.0
--
-- >>> compare2 ('x', True, "str", 2) ('x', True, "str", 3 :: Int)
-- LT
--
instance (Ord a, Ord b) => Ord2 ((,,,) a b) where
    liftCompare2 :: forall a b c d.
(a -> b -> Ordering)
-> (c -> d -> Ordering) -> (a, b, a, c) -> (a, b, b, d) -> Ordering
liftCompare2 a -> b -> Ordering
comp1 c -> d -> Ordering
comp2 (a
u1, b
u2, a
x1, c
y1) (a
v1, b
v2, b
x2, d
y2) =
        a -> a -> Ordering
forall a. Ord a => a -> a -> Ordering
compare a
u1 a
v1 Ordering -> Ordering -> Ordering
forall a. Monoid a => a -> a -> a
`mappend`
        b -> b -> Ordering
forall a. Ord a => a -> a -> Ordering
compare b
u2 b
v2 Ordering -> Ordering -> Ordering
forall a. Monoid a => a -> a -> a
`mappend`
        a -> b -> Ordering
comp1 a
x1 b
x2 Ordering -> Ordering -> Ordering
forall a. Monoid a => a -> a -> a
`mappend` c -> d -> Ordering
comp2 c
y1 d
y2

-- | @since 4.16.0.0
--
-- >>> readPrec_to_S readPrec2 0 "('x', True, 2, 4.5)" :: [((Char, Bool, Int, Double), String)]
-- [(('x',True,2,4.5),"")]
--
instance (Read a, Read b) => Read2 ((,,,) a b) where
    liftReadPrec2 :: forall a b.
ReadPrec a
-> ReadPrec [a]
-> ReadPrec b
-> ReadPrec [b]
-> ReadPrec (a, b, a, b)
liftReadPrec2 ReadPrec a
rp1 ReadPrec [a]
_ ReadPrec b
rp2 ReadPrec [b]
_ = ReadPrec (a, b, a, b) -> ReadPrec (a, b, a, b)
forall a. ReadPrec a -> ReadPrec a
parens (ReadPrec (a, b, a, b) -> ReadPrec (a, b, a, b))
-> ReadPrec (a, b, a, b) -> ReadPrec (a, b, a, b)
forall a b. (a -> b) -> a -> b
$ ReadPrec (a, b, a, b) -> ReadPrec (a, b, a, b)
forall a. ReadPrec a -> ReadPrec a
paren (ReadPrec (a, b, a, b) -> ReadPrec (a, b, a, b))
-> ReadPrec (a, b, a, b) -> ReadPrec (a, b, a, b)
forall a b. (a -> b) -> a -> b
$ do
        a
x1 <- ReadPrec a
forall a. Read a => ReadPrec a
readPrec
        Lexeme -> ReadPrec ()
expectP (String -> Lexeme
Punc String
",")
        b
x2 <- ReadPrec b
forall a. Read a => ReadPrec a
readPrec
        Lexeme -> ReadPrec ()
expectP (String -> Lexeme
Punc String
",")
        a
y1 <- ReadPrec a
rp1
        Lexeme -> ReadPrec ()
expectP (String -> Lexeme
Punc String
",")
        b
y2 <- ReadPrec b
rp2
        (a, b, a, b) -> ReadPrec (a, b, a, b)
forall (m :: * -> *) a. Monad m => a -> m a
return (a
x1,b
x2,a
y1,b
y2)

    liftReadListPrec2 :: forall a b.
ReadPrec a
-> ReadPrec [a]
-> ReadPrec b
-> ReadPrec [b]
-> ReadPrec [(a, b, a, b)]
liftReadListPrec2 = ReadPrec a
-> ReadPrec [a]
-> ReadPrec b
-> ReadPrec [b]
-> ReadPrec [(a, b, a, b)]
forall (f :: * -> * -> *) a b.
Read2 f =>
ReadPrec a
-> ReadPrec [a] -> ReadPrec b -> ReadPrec [b] -> ReadPrec [f a b]
liftReadListPrec2Default
    liftReadList2 :: forall a b.
(Int -> ReadS a)
-> ReadS [a]
-> (Int -> ReadS b)
-> ReadS [b]
-> ReadS [(a, b, a, b)]
liftReadList2     = (Int -> ReadS a)
-> ReadS [a]
-> (Int -> ReadS b)
-> ReadS [b]
-> ReadS [(a, b, a, b)]
forall (f :: * -> * -> *) a b.
Read2 f =>
(Int -> ReadS a)
-> ReadS [a] -> (Int -> ReadS b) -> ReadS [b] -> ReadS [f a b]
liftReadList2Default

-- | @since 4.16.0.0
--
-- >>> showsPrec2 0 ('x', True, 2 :: Int, 4.5 :: Double) ""
-- "('x',True,2,4.5)"
--
instance (Show a, Show b) => Show2 ((,,,) a b) where
    liftShowsPrec2 :: forall a b.
(Int -> a -> ShowS)
-> ([a] -> ShowS)
-> (Int -> b -> ShowS)
-> ([b] -> ShowS)
-> Int
-> (a, b, a, b)
-> ShowS
liftShowsPrec2 Int -> a -> ShowS
sp1 [a] -> ShowS
_ Int -> b -> ShowS
sp2 [b] -> ShowS
_ Int
_ (a
x1,b
x2,a
y1,b
y2)
        = Char -> ShowS
showChar Char
'(' ShowS -> ShowS -> ShowS
forall b c a. (b -> c) -> (a -> b) -> a -> c
. Int -> a -> ShowS
forall a. Show a => Int -> a -> ShowS
showsPrec Int
0 a
x1
        ShowS -> ShowS -> ShowS
forall b c a. (b -> c) -> (a -> b) -> a -> c
. Char -> ShowS
showChar Char
',' ShowS -> ShowS -> ShowS
forall b c a. (b -> c) -> (a -> b) -> a -> c
. Int -> b -> ShowS
forall a. Show a => Int -> a -> ShowS
showsPrec Int
0 b
x2
        ShowS -> ShowS -> ShowS
forall b c a. (b -> c) -> (a -> b) -> a -> c
. Char -> ShowS
showChar Char
',' ShowS -> ShowS -> ShowS
forall b c a. (b -> c) -> (a -> b) -> a -> c
. Int -> a -> ShowS
sp1 Int
0 a
y1
        ShowS -> ShowS -> ShowS
forall b c a. (b -> c) -> (a -> b) -> a -> c
. Char -> ShowS
showChar Char
',' ShowS -> ShowS -> ShowS
forall b c a. (b -> c) -> (a -> b) -> a -> c
. Int -> b -> ShowS
sp2 Int
0 b
y2
        ShowS -> ShowS -> ShowS
forall b c a. (b -> c) -> (a -> b) -> a -> c
. Char -> ShowS
showChar Char
')'

-- | @since 4.16.0.0
instance (Eq a, Eq b, Eq c) => Eq1 ((,,,) a b c) where
    liftEq :: forall a b.
(a -> b -> Bool) -> (a, b, c, a) -> (a, b, c, b) -> Bool
liftEq = (c -> c -> Bool)
-> (a -> b -> Bool) -> (a, b, c, a) -> (a, b, c, b) -> Bool
forall (f :: * -> * -> *) a b c d.
Eq2 f =>
(a -> b -> Bool) -> (c -> d -> Bool) -> f a c -> f b d -> Bool
liftEq2 c -> c -> Bool
forall a. Eq a => a -> a -> Bool
(==)

-- | @since 4.16.0.0
instance (Ord a, Ord b, Ord c) => Ord1 ((,,,) a b c) where
    liftCompare :: forall a b.
(a -> b -> Ordering) -> (a, b, c, a) -> (a, b, c, b) -> Ordering
liftCompare = (c -> c -> Ordering)
-> (a -> b -> Ordering) -> (a, b, c, a) -> (a, b, c, b) -> Ordering
forall (f :: * -> * -> *) a b c d.
Ord2 f =>
(a -> b -> Ordering)
-> (c -> d -> Ordering) -> f a c -> f b d -> Ordering
liftCompare2 c -> c -> Ordering
forall a. Ord a => a -> a -> Ordering
compare

-- | @since 4.16.0.0
instance (Read a, Read b, Read c) => Read1 ((,,,) a b c) where
    liftReadPrec :: forall a. ReadPrec a -> ReadPrec [a] -> ReadPrec (a, b, c, a)
liftReadPrec = ReadPrec c
-> ReadPrec [c]
-> ReadPrec a
-> ReadPrec [a]
-> ReadPrec (a, b, c, a)
forall (f :: * -> * -> *) a b.
Read2 f =>
ReadPrec a
-> ReadPrec [a] -> ReadPrec b -> ReadPrec [b] -> ReadPrec (f a b)
liftReadPrec2 ReadPrec c
forall a. Read a => ReadPrec a
readPrec ReadPrec [c]
forall a. Read a => ReadPrec [a]
readListPrec

    liftReadListPrec :: forall a. ReadPrec a -> ReadPrec [a] -> ReadPrec [(a, b, c, a)]
liftReadListPrec = ReadPrec a -> ReadPrec [a] -> ReadPrec [(a, b, c, a)]
forall (f :: * -> *) a.
Read1 f =>
ReadPrec a -> ReadPrec [a] -> ReadPrec [f a]
liftReadListPrecDefault
    liftReadList :: forall a. (Int -> ReadS a) -> ReadS [a] -> ReadS [(a, b, c, a)]
liftReadList     = (Int -> ReadS a) -> ReadS [a] -> ReadS [(a, b, c, a)]
forall (f :: * -> *) a.
Read1 f =>
(Int -> ReadS a) -> ReadS [a] -> ReadS [f a]
liftReadListDefault

-- | @since 4.16.0.0
instance (Show a, Show b, Show c) => Show1 ((,,,) a b c) where
    liftShowsPrec :: forall a.
(Int -> a -> ShowS)
-> ([a] -> ShowS) -> Int -> (a, b, c, a) -> ShowS
liftShowsPrec = (Int -> c -> ShowS)
-> ([c] -> ShowS)
-> (Int -> a -> ShowS)
-> ([a] -> ShowS)
-> Int
-> (a, b, c, a)
-> ShowS
forall (f :: * -> * -> *) a b.
Show2 f =>
(Int -> a -> ShowS)
-> ([a] -> ShowS)
-> (Int -> b -> ShowS)
-> ([b] -> ShowS)
-> Int
-> f a b
-> ShowS
liftShowsPrec2 Int -> c -> ShowS
forall a. Show a => Int -> a -> ShowS
showsPrec [c] -> ShowS
forall a. Show a => [a] -> ShowS
showList


-- | @since 4.9.0.0
instance Eq2 Either where
    liftEq2 :: forall a b c d.
(a -> b -> Bool)
-> (c -> d -> Bool) -> Either a c -> Either b d -> Bool
liftEq2 a -> b -> Bool
e1 c -> d -> Bool
_ (Left a
x) (Left b
y) = a -> b -> Bool
e1 a
x b
y
    liftEq2 a -> b -> Bool
_ c -> d -> Bool
_ (Left a
_) (Right d
_) = Bool
False
    liftEq2 a -> b -> Bool
_ c -> d -> Bool
_ (Right c
_) (Left b
_) = Bool
False
    liftEq2 a -> b -> Bool
_ c -> d -> Bool
e2 (Right c
x) (Right d
y) = c -> d -> Bool
e2 c
x d
y

-- | @since 4.9.0.0
instance Ord2 Either where
    liftCompare2 :: forall a b c d.
(a -> b -> Ordering)
-> (c -> d -> Ordering) -> Either a c -> Either b d -> Ordering
liftCompare2 a -> b -> Ordering
comp1 c -> d -> Ordering
_ (Left a
x) (Left b
y) = a -> b -> Ordering
comp1 a
x b
y
    liftCompare2 a -> b -> Ordering
_ c -> d -> Ordering
_ (Left a
_) (Right d
_) = Ordering
LT
    liftCompare2 a -> b -> Ordering
_ c -> d -> Ordering
_ (Right c
_) (Left b
_) = Ordering
GT
    liftCompare2 a -> b -> Ordering
_ c -> d -> Ordering
comp2 (Right c
x) (Right d
y) = c -> d -> Ordering
comp2 c
x d
y

-- | @since 4.9.0.0
instance Read2 Either where
    liftReadPrec2 :: forall a b.
ReadPrec a
-> ReadPrec [a]
-> ReadPrec b
-> ReadPrec [b]
-> ReadPrec (Either a b)
liftReadPrec2 ReadPrec a
rp1 ReadPrec [a]
_ ReadPrec b
rp2 ReadPrec [b]
_ = ReadPrec (Either a b) -> ReadPrec (Either a b)
forall a. ReadPrec a -> ReadPrec a
readData (ReadPrec (Either a b) -> ReadPrec (Either a b))
-> ReadPrec (Either a b) -> ReadPrec (Either a b)
forall a b. (a -> b) -> a -> b
$
         ReadPrec a -> String -> (a -> Either a b) -> ReadPrec (Either a b)
forall a t. ReadPrec a -> String -> (a -> t) -> ReadPrec t
readUnaryWith ReadPrec a
rp1 String
"Left" a -> Either a b
forall a b. a -> Either a b
Left ReadPrec (Either a b)
-> ReadPrec (Either a b) -> ReadPrec (Either a b)
forall (f :: * -> *) a. Alternative f => f a -> f a -> f a
<|>
         ReadPrec b -> String -> (b -> Either a b) -> ReadPrec (Either a b)
forall a t. ReadPrec a -> String -> (a -> t) -> ReadPrec t
readUnaryWith ReadPrec b
rp2 String
"Right" b -> Either a b
forall a b. b -> Either a b
Right

    liftReadListPrec2 :: forall a b.
ReadPrec a
-> ReadPrec [a]
-> ReadPrec b
-> ReadPrec [b]
-> ReadPrec [Either a b]
liftReadListPrec2 = ReadPrec a
-> ReadPrec [a]
-> ReadPrec b
-> ReadPrec [b]
-> ReadPrec [Either a b]
forall (f :: * -> * -> *) a b.
Read2 f =>
ReadPrec a
-> ReadPrec [a] -> ReadPrec b -> ReadPrec [b] -> ReadPrec [f a b]
liftReadListPrec2Default
    liftReadList2 :: forall a b.
(Int -> ReadS a)
-> ReadS [a] -> (Int -> ReadS b) -> ReadS [b] -> ReadS [Either a b]
liftReadList2     = (Int -> ReadS a)
-> ReadS [a] -> (Int -> ReadS b) -> ReadS [b] -> ReadS [Either a b]
forall (f :: * -> * -> *) a b.
Read2 f =>
(Int -> ReadS a)
-> ReadS [a] -> (Int -> ReadS b) -> ReadS [b] -> ReadS [f a b]
liftReadList2Default

-- | @since 4.9.0.0
instance Show2 Either where
    liftShowsPrec2 :: forall a b.
(Int -> a -> ShowS)
-> ([a] -> ShowS)
-> (Int -> b -> ShowS)
-> ([b] -> ShowS)
-> Int
-> Either a b
-> ShowS
liftShowsPrec2 Int -> a -> ShowS
sp1 [a] -> ShowS
_ Int -> b -> ShowS
_ [b] -> ShowS
_ Int
d (Left a
x) = (Int -> a -> ShowS) -> String -> Int -> a -> ShowS
forall a. (Int -> a -> ShowS) -> String -> Int -> a -> ShowS
showsUnaryWith Int -> a -> ShowS
sp1 String
"Left" Int
d a
x
    liftShowsPrec2 Int -> a -> ShowS
_ [a] -> ShowS
_ Int -> b -> ShowS
sp2 [b] -> ShowS
_ Int
d (Right b
x) = (Int -> b -> ShowS) -> String -> Int -> b -> ShowS
forall a. (Int -> a -> ShowS) -> String -> Int -> a -> ShowS
showsUnaryWith Int -> b -> ShowS
sp2 String
"Right" Int
d b
x

-- | @since 4.9.0.0
instance (Eq a) => Eq1 (Either a) where
    liftEq :: forall a b. (a -> b -> Bool) -> Either a a -> Either a b -> Bool
liftEq = (a -> a -> Bool)
-> (a -> b -> Bool) -> Either a a -> Either a b -> Bool
forall (f :: * -> * -> *) a b c d.
Eq2 f =>
(a -> b -> Bool) -> (c -> d -> Bool) -> f a c -> f b d -> Bool
liftEq2 a -> a -> Bool
forall a. Eq a => a -> a -> Bool
(==)

-- | @since 4.9.0.0
instance (Ord a) => Ord1 (Either a) where
    liftCompare :: forall a b.
(a -> b -> Ordering) -> Either a a -> Either a b -> Ordering
liftCompare = (a -> a -> Ordering)
-> (a -> b -> Ordering) -> Either a a -> Either a b -> Ordering
forall (f :: * -> * -> *) a b c d.
Ord2 f =>
(a -> b -> Ordering)
-> (c -> d -> Ordering) -> f a c -> f b d -> Ordering
liftCompare2 a -> a -> Ordering
forall a. Ord a => a -> a -> Ordering
compare

-- | @since 4.9.0.0
instance (Read a) => Read1 (Either a) where
    liftReadPrec :: forall a. ReadPrec a -> ReadPrec [a] -> ReadPrec (Either a a)
liftReadPrec = ReadPrec a
-> ReadPrec [a]
-> ReadPrec a
-> ReadPrec [a]
-> ReadPrec (Either a a)
forall (f :: * -> * -> *) a b.
Read2 f =>
ReadPrec a
-> ReadPrec [a] -> ReadPrec b -> ReadPrec [b] -> ReadPrec (f a b)
liftReadPrec2 ReadPrec a
forall a. Read a => ReadPrec a
readPrec ReadPrec [a]
forall a. Read a => ReadPrec [a]
readListPrec

    liftReadListPrec :: forall a. ReadPrec a -> ReadPrec [a] -> ReadPrec [Either a a]
liftReadListPrec = ReadPrec a -> ReadPrec [a] -> ReadPrec [Either a a]
forall (f :: * -> *) a.
Read1 f =>
ReadPrec a -> ReadPrec [a] -> ReadPrec [f a]
liftReadListPrecDefault
    liftReadList :: forall a. (Int -> ReadS a) -> ReadS [a] -> ReadS [Either a a]
liftReadList     = (Int -> ReadS a) -> ReadS [a] -> ReadS [Either a a]
forall (f :: * -> *) a.
Read1 f =>
(Int -> ReadS a) -> ReadS [a] -> ReadS [f a]
liftReadListDefault

-- | @since 4.9.0.0
instance (Show a) => Show1 (Either a) where
    liftShowsPrec :: forall a.
(Int -> a -> ShowS) -> ([a] -> ShowS) -> Int -> Either a a -> ShowS
liftShowsPrec = (Int -> a -> ShowS)
-> ([a] -> ShowS)
-> (Int -> a -> ShowS)
-> ([a] -> ShowS)
-> Int
-> Either a a
-> ShowS
forall (f :: * -> * -> *) a b.
Show2 f =>
(Int -> a -> ShowS)
-> ([a] -> ShowS)
-> (Int -> b -> ShowS)
-> ([b] -> ShowS)
-> Int
-> f a b
-> ShowS
liftShowsPrec2 Int -> a -> ShowS
forall a. Show a => Int -> a -> ShowS
showsPrec [a] -> ShowS
forall a. Show a => [a] -> ShowS
showList

-- Instances for other functors defined in the base package

-- | @since 4.9.0.0
instance Eq1 Identity where
    liftEq :: forall a b. (a -> b -> Bool) -> Identity a -> Identity b -> Bool
liftEq a -> b -> Bool
eq (Identity a
x) (Identity b
y) = a -> b -> Bool
eq a
x b
y

-- | @since 4.9.0.0
instance Ord1 Identity where
    liftCompare :: forall a b.
(a -> b -> Ordering) -> Identity a -> Identity b -> Ordering
liftCompare a -> b -> Ordering
comp (Identity a
x) (Identity b
y) = a -> b -> Ordering
comp a
x b
y

-- | @since 4.9.0.0
instance Read1 Identity where
    liftReadPrec :: forall a. ReadPrec a -> ReadPrec [a] -> ReadPrec (Identity a)
liftReadPrec ReadPrec a
rp ReadPrec [a]
_ = ReadPrec (Identity a) -> ReadPrec (Identity a)
forall a. ReadPrec a -> ReadPrec a
readData (ReadPrec (Identity a) -> ReadPrec (Identity a))
-> ReadPrec (Identity a) -> ReadPrec (Identity a)
forall a b. (a -> b) -> a -> b
$
         ReadPrec a -> String -> (a -> Identity a) -> ReadPrec (Identity a)
forall a t. ReadPrec a -> String -> (a -> t) -> ReadPrec t
readUnaryWith ReadPrec a
rp String
"Identity" a -> Identity a
forall a. a -> Identity a
Identity

    liftReadListPrec :: forall a. ReadPrec a -> ReadPrec [a] -> ReadPrec [Identity a]
liftReadListPrec = ReadPrec a -> ReadPrec [a] -> ReadPrec [Identity a]
forall (f :: * -> *) a.
Read1 f =>
ReadPrec a -> ReadPrec [a] -> ReadPrec [f a]
liftReadListPrecDefault
    liftReadList :: forall a. (Int -> ReadS a) -> ReadS [a] -> ReadS [Identity a]
liftReadList     = (Int -> ReadS a) -> ReadS [a] -> ReadS [Identity a]
forall (f :: * -> *) a.
Read1 f =>
(Int -> ReadS a) -> ReadS [a] -> ReadS [f a]
liftReadListDefault

-- | @since 4.9.0.0
instance Show1 Identity where
    liftShowsPrec :: forall a.
(Int -> a -> ShowS) -> ([a] -> ShowS) -> Int -> Identity a -> ShowS
liftShowsPrec Int -> a -> ShowS
sp [a] -> ShowS
_ Int
d (Identity a
x) = (Int -> a -> ShowS) -> String -> Int -> a -> ShowS
forall a. (Int -> a -> ShowS) -> String -> Int -> a -> ShowS
showsUnaryWith Int -> a -> ShowS
sp String
"Identity" Int
d a
x

-- | @since 4.9.0.0
instance Eq2 Const where
    liftEq2 :: forall a b c d.
(a -> b -> Bool)
-> (c -> d -> Bool) -> Const a c -> Const b d -> Bool
liftEq2 a -> b -> Bool
eq c -> d -> Bool
_ (Const a
x) (Const b
y) = a -> b -> Bool
eq a
x b
y

-- | @since 4.9.0.0
instance Ord2 Const where
    liftCompare2 :: forall a b c d.
(a -> b -> Ordering)
-> (c -> d -> Ordering) -> Const a c -> Const b d -> Ordering
liftCompare2 a -> b -> Ordering
comp c -> d -> Ordering
_ (Const a
x) (Const b
y) = a -> b -> Ordering
comp a
x b
y

-- | @since 4.9.0.0
instance Read2 Const where
    liftReadPrec2 :: forall a b.
ReadPrec a
-> ReadPrec [a]
-> ReadPrec b
-> ReadPrec [b]
-> ReadPrec (Const a b)
liftReadPrec2 ReadPrec a
rp ReadPrec [a]
_ ReadPrec b
_ ReadPrec [b]
_ = ReadPrec (Const a b) -> ReadPrec (Const a b)
forall a. ReadPrec a -> ReadPrec a
readData (ReadPrec (Const a b) -> ReadPrec (Const a b))
-> ReadPrec (Const a b) -> ReadPrec (Const a b)
forall a b. (a -> b) -> a -> b
$
         ReadPrec a -> String -> (a -> Const a b) -> ReadPrec (Const a b)
forall a t. ReadPrec a -> String -> (a -> t) -> ReadPrec t
readUnaryWith ReadPrec a
rp String
"Const" a -> Const a b
forall {k} a (b :: k). a -> Const a b
Const

    liftReadListPrec2 :: forall a b.
ReadPrec a
-> ReadPrec [a]
-> ReadPrec b
-> ReadPrec [b]
-> ReadPrec [Const a b]
liftReadListPrec2 = ReadPrec a
-> ReadPrec [a]
-> ReadPrec b
-> ReadPrec [b]
-> ReadPrec [Const a b]
forall (f :: * -> * -> *) a b.
Read2 f =>
ReadPrec a
-> ReadPrec [a] -> ReadPrec b -> ReadPrec [b] -> ReadPrec [f a b]
liftReadListPrec2Default
    liftReadList2 :: forall a b.
(Int -> ReadS a)
-> ReadS [a] -> (Int -> ReadS b) -> ReadS [b] -> ReadS [Const a b]
liftReadList2     = (Int -> ReadS a)
-> ReadS [a] -> (Int -> ReadS b) -> ReadS [b] -> ReadS [Const a b]
forall (f :: * -> * -> *) a b.
Read2 f =>
(Int -> ReadS a)
-> ReadS [a] -> (Int -> ReadS b) -> ReadS [b] -> ReadS [f a b]
liftReadList2Default

-- | @since 4.9.0.0
instance Show2 Const where
    liftShowsPrec2 :: forall a b.
(Int -> a -> ShowS)
-> ([a] -> ShowS)
-> (Int -> b -> ShowS)
-> ([b] -> ShowS)
-> Int
-> Const a b
-> ShowS
liftShowsPrec2 Int -> a -> ShowS
sp [a] -> ShowS
_ Int -> b -> ShowS
_ [b] -> ShowS
_ Int
d (Const a
x) = (Int -> a -> ShowS) -> String -> Int -> a -> ShowS
forall a. (Int -> a -> ShowS) -> String -> Int -> a -> ShowS
showsUnaryWith Int -> a -> ShowS
sp String
"Const" Int
d a
x

-- | @since 4.9.0.0
instance (Eq a) => Eq1 (Const a) where
    liftEq :: forall a b. (a -> b -> Bool) -> Const a a -> Const a b -> Bool
liftEq = (a -> a -> Bool)
-> (a -> b -> Bool) -> Const a a -> Const a b -> Bool
forall (f :: * -> * -> *) a b c d.
Eq2 f =>
(a -> b -> Bool) -> (c -> d -> Bool) -> f a c -> f b d -> Bool
liftEq2 a -> a -> Bool
forall a. Eq a => a -> a -> Bool
(==)
-- | @since 4.9.0.0
instance (Ord a) => Ord1 (Const a) where
    liftCompare :: forall a b.
(a -> b -> Ordering) -> Const a a -> Const a b -> Ordering
liftCompare = (a -> a -> Ordering)
-> (a -> b -> Ordering) -> Const a a -> Const a b -> Ordering
forall (f :: * -> * -> *) a b c d.
Ord2 f =>
(a -> b -> Ordering)
-> (c -> d -> Ordering) -> f a c -> f b d -> Ordering
liftCompare2 a -> a -> Ordering
forall a. Ord a => a -> a -> Ordering
compare
-- | @since 4.9.0.0
instance (Read a) => Read1 (Const a) where
    liftReadPrec :: forall a. ReadPrec a -> ReadPrec [a] -> ReadPrec (Const a a)
liftReadPrec = ReadPrec a
-> ReadPrec [a]
-> ReadPrec a
-> ReadPrec [a]
-> ReadPrec (Const a a)
forall (f :: * -> * -> *) a b.
Read2 f =>
ReadPrec a
-> ReadPrec [a] -> ReadPrec b -> ReadPrec [b] -> ReadPrec (f a b)
liftReadPrec2 ReadPrec a
forall a. Read a => ReadPrec a
readPrec ReadPrec [a]
forall a. Read a => ReadPrec [a]
readListPrec

    liftReadListPrec :: forall a. ReadPrec a -> ReadPrec [a] -> ReadPrec [Const a a]
liftReadListPrec = ReadPrec a -> ReadPrec [a] -> ReadPrec [Const a a]
forall (f :: * -> *) a.
Read1 f =>
ReadPrec a -> ReadPrec [a] -> ReadPrec [f a]
liftReadListPrecDefault
    liftReadList :: forall a. (Int -> ReadS a) -> ReadS [a] -> ReadS [Const a a]
liftReadList     = (Int -> ReadS a) -> ReadS [a] -> ReadS [Const a a]
forall (f :: * -> *) a.
Read1 f =>
(Int -> ReadS a) -> ReadS [a] -> ReadS [f a]
liftReadListDefault
-- | @since 4.9.0.0
instance (Show a) => Show1 (Const a) where
    liftShowsPrec :: forall a.
(Int -> a -> ShowS) -> ([a] -> ShowS) -> Int -> Const a a -> ShowS
liftShowsPrec = (Int -> a -> ShowS)
-> ([a] -> ShowS)
-> (Int -> a -> ShowS)
-> ([a] -> ShowS)
-> Int
-> Const a a
-> ShowS
forall (f :: * -> * -> *) a b.
Show2 f =>
(Int -> a -> ShowS)
-> ([a] -> ShowS)
-> (Int -> b -> ShowS)
-> ([b] -> ShowS)
-> Int
-> f a b
-> ShowS
liftShowsPrec2 Int -> a -> ShowS
forall a. Show a => Int -> a -> ShowS
showsPrec [a] -> ShowS
forall a. Show a => [a] -> ShowS
showList

-- Proxy unfortunately imports this module, hence these instances are placed
-- here,
-- | @since 4.9.0.0
instance Eq1 Proxy where
  liftEq :: forall a b. (a -> b -> Bool) -> Proxy a -> Proxy b -> Bool
liftEq a -> b -> Bool
_ Proxy a
_ Proxy b
_ = Bool
True

-- | @since 4.9.0.0
instance Ord1 Proxy where
  liftCompare :: forall a b. (a -> b -> Ordering) -> Proxy a -> Proxy b -> Ordering
liftCompare a -> b -> Ordering
_ Proxy a
_ Proxy b
_ = Ordering
EQ

-- | @since 4.9.0.0
instance Show1 Proxy where
  liftShowsPrec :: forall a.
(Int -> a -> ShowS) -> ([a] -> ShowS) -> Int -> Proxy a -> ShowS
liftShowsPrec Int -> a -> ShowS
_ [a] -> ShowS
_ Int
_ Proxy a
_ = String -> ShowS
showString String
"Proxy"

-- | @since 4.9.0.0
instance Read1 Proxy where
  liftReadPrec :: forall a. ReadPrec a -> ReadPrec [a] -> ReadPrec (Proxy a)
liftReadPrec ReadPrec a
_ ReadPrec [a]
_ = ReadPrec (Proxy a) -> ReadPrec (Proxy a)
forall a. ReadPrec a -> ReadPrec a
parens (Lexeme -> ReadPrec ()
expectP (String -> Lexeme
Ident String
"Proxy") ReadPrec () -> ReadPrec (Proxy a) -> ReadPrec (Proxy a)
forall (f :: * -> *) a b. Applicative f => f a -> f b -> f b
*> Proxy a -> ReadPrec (Proxy a)
forall (f :: * -> *) a. Applicative f => a -> f a
pure Proxy a
forall {k} (t :: k). Proxy t
Proxy)

  liftReadListPrec :: forall a. ReadPrec a -> ReadPrec [a] -> ReadPrec [Proxy a]
liftReadListPrec = ReadPrec a -> ReadPrec [a] -> ReadPrec [Proxy a]
forall (f :: * -> *) a.
Read1 f =>
ReadPrec a -> ReadPrec [a] -> ReadPrec [f a]
liftReadListPrecDefault
  liftReadList :: forall a. (Int -> ReadS a) -> ReadS [a] -> ReadS [Proxy a]
liftReadList     = (Int -> ReadS a) -> ReadS [a] -> ReadS [Proxy a]
forall (f :: * -> *) a.
Read1 f =>
(Int -> ReadS a) -> ReadS [a] -> ReadS [f a]
liftReadListDefault

-- | @since 4.12.0.0
instance Eq1 Down where
    liftEq :: forall a b. (a -> b -> Bool) -> Down a -> Down b -> Bool
liftEq a -> b -> Bool
eq (Down a
x) (Down b
y) = a -> b -> Bool
eq a
x b
y

-- | @since 4.12.0.0
instance Ord1 Down where
    liftCompare :: forall a b. (a -> b -> Ordering) -> Down a -> Down b -> Ordering
liftCompare a -> b -> Ordering
comp (Down a
x) (Down b
y) = a -> b -> Ordering
comp a
x b
y

-- | @since 4.12.0.0
instance Read1 Down where
    liftReadsPrec :: forall a. (Int -> ReadS a) -> ReadS [a] -> Int -> ReadS (Down a)
liftReadsPrec Int -> ReadS a
rp ReadS [a]
_ = (String -> ReadS (Down a)) -> Int -> ReadS (Down a)
forall a. (String -> ReadS a) -> Int -> ReadS a
readsData ((String -> ReadS (Down a)) -> Int -> ReadS (Down a))
-> (String -> ReadS (Down a)) -> Int -> ReadS (Down a)
forall a b. (a -> b) -> a -> b
$
         (Int -> ReadS a)
-> String -> (a -> Down a) -> String -> ReadS (Down a)
forall a t.
(Int -> ReadS a) -> String -> (a -> t) -> String -> ReadS t
readsUnaryWith Int -> ReadS a
rp String
"Down" a -> Down a
forall a. a -> Down a
Down

-- | @since 4.12.0.0
instance Show1 Down where
    liftShowsPrec :: forall a.
(Int -> a -> ShowS) -> ([a] -> ShowS) -> Int -> Down a -> ShowS
liftShowsPrec Int -> a -> ShowS
sp [a] -> ShowS
_ Int
d (Down a
x) = (Int -> a -> ShowS) -> String -> Int -> a -> ShowS
forall a. (Int -> a -> ShowS) -> String -> Int -> a -> ShowS
showsUnaryWith Int -> a -> ShowS
sp String
"Down" Int
d a
x

-- | @since 4.16.0.0
--
-- >>> eq1 (1 :+ 2) (1 :+ 2)
-- True
--
-- >>> eq1 (1 :+ 2) (1 :+ 3)
-- False
--
instance Eq1 Complex where
    liftEq :: forall a b. (a -> b -> Bool) -> Complex a -> Complex b -> Bool
liftEq a -> b -> Bool
eq (a
x :+ a
y) (b
u :+ b
v) = a -> b -> Bool
eq a
x b
u Bool -> Bool -> Bool
&& a -> b -> Bool
eq a
y b
v

-- | @since 4.16.0.0
--
-- >>> readPrec_to_S readPrec1 0 "(2 % 3) :+ (3 % 4)" :: [(Complex Rational, String)]
-- [(2 % 3 :+ 3 % 4,"")]
--
instance Read1 Complex where
    liftReadPrec :: forall a. ReadPrec a -> ReadPrec [a] -> ReadPrec (Complex a)
liftReadPrec ReadPrec a
rp ReadPrec [a]
_  = ReadPrec (Complex a) -> ReadPrec (Complex a)
forall a. ReadPrec a -> ReadPrec a
parens (ReadPrec (Complex a) -> ReadPrec (Complex a))
-> ReadPrec (Complex a) -> ReadPrec (Complex a)
forall a b. (a -> b) -> a -> b
$ Int -> ReadPrec (Complex a) -> ReadPrec (Complex a)
forall a. Int -> ReadPrec a -> ReadPrec a
prec Int
complexPrec (ReadPrec (Complex a) -> ReadPrec (Complex a))
-> ReadPrec (Complex a) -> ReadPrec (Complex a)
forall a b. (a -> b) -> a -> b
$ do
        a
x <- ReadPrec a -> ReadPrec a
forall a. ReadPrec a -> ReadPrec a
step ReadPrec a
rp
        Lexeme -> ReadPrec ()
expectP (String -> Lexeme
Symbol String
":+")
        a
y <- ReadPrec a -> ReadPrec a
forall a. ReadPrec a -> ReadPrec a
step ReadPrec a
rp
        Complex a -> ReadPrec (Complex a)
forall (m :: * -> *) a. Monad m => a -> m a
return (a
x a -> a -> Complex a
forall a. a -> a -> Complex a
:+ a
y)
      where
        complexPrec :: Int
complexPrec = Int
6

    liftReadListPrec :: forall a. ReadPrec a -> ReadPrec [a] -> ReadPrec [Complex a]
liftReadListPrec = ReadPrec a -> ReadPrec [a] -> ReadPrec [Complex a]
forall (f :: * -> *) a.
Read1 f =>
ReadPrec a -> ReadPrec [a] -> ReadPrec [f a]
liftReadListPrecDefault
    liftReadList :: forall a. (Int -> ReadS a) -> ReadS [a] -> ReadS [Complex a]
liftReadList     = (Int -> ReadS a) -> ReadS [a] -> ReadS [Complex a]
forall (f :: * -> *) a.
Read1 f =>
(Int -> ReadS a) -> ReadS [a] -> ReadS [f a]
liftReadListDefault

-- | @since 4.16.0.0
--
-- >>> showsPrec1 0 (2 :+ 3) ""
-- "2 :+ 3"
--
instance Show1 Complex where
    liftShowsPrec :: forall a.
(Int -> a -> ShowS) -> ([a] -> ShowS) -> Int -> Complex a -> ShowS
liftShowsPrec Int -> a -> ShowS
sp [a] -> ShowS
_ Int
d (a
x :+ a
y) = Bool -> ShowS -> ShowS
showParen (Int
d Int -> Int -> Bool
forall a. Ord a => a -> a -> Bool
> Int
complexPrec) (ShowS -> ShowS) -> ShowS -> ShowS
forall a b. (a -> b) -> a -> b
$
        Int -> a -> ShowS
sp (Int
complexPrecInt -> Int -> Int
forall a. Num a => a -> a -> a
+Int
1) a
x ShowS -> ShowS -> ShowS
forall b c a. (b -> c) -> (a -> b) -> a -> c
. String -> ShowS
showString String
" :+ " ShowS -> ShowS -> ShowS
forall b c a. (b -> c) -> (a -> b) -> a -> c
. Int -> a -> ShowS
sp (Int
complexPrecInt -> Int -> Int
forall a. Num a => a -> a -> a
+Int
1) a
y
      where
        complexPrec :: Int
complexPrec = Int
6

-- | @since 4.16.0.0
instance Eq1 Fixed where
    liftEq :: forall a b. (a -> b -> Bool) -> Fixed a -> Fixed b -> Bool
liftEq a -> b -> Bool
_eq (MkFixed Integer
x) (MkFixed Integer
y) = Integer
x Integer -> Integer -> Bool
forall a. Eq a => a -> a -> Bool
== Integer
y

-- | @since 4.16.0.0
instance Ord1 Fixed where
    liftCompare :: forall a b. (a -> b -> Ordering) -> Fixed a -> Fixed b -> Ordering
liftCompare a -> b -> Ordering
_cmp (MkFixed Integer
x) (MkFixed Integer
y) = Integer -> Integer -> Ordering
forall a. Ord a => a -> a -> Ordering
compare Integer
x Integer
y

-- Building blocks

-- | @'readsData' p d@ is a parser for datatypes where each alternative
-- begins with a data constructor.  It parses the constructor and
-- passes it to @p@.  Parsers for various constructors can be constructed
-- with 'readsUnary', 'readsUnary1' and 'readsBinary1', and combined with
-- @mappend@ from the @Monoid@ class.
--
-- @since 4.9.0.0
readsData :: (String -> ReadS a) -> Int -> ReadS a
readsData :: forall a. (String -> ReadS a) -> Int -> ReadS a
readsData String -> ReadS a
reader Int
d =
    Bool -> ReadS a -> ReadS a
forall a. Bool -> ReadS a -> ReadS a
readParen (Int
d Int -> Int -> Bool
forall a. Ord a => a -> a -> Bool
> Int
10) (ReadS a -> ReadS a) -> ReadS a -> ReadS a
forall a b. (a -> b) -> a -> b
$ \ String
r -> [(a, String)
res | (String
kw,String
s) <- ReadS String
lex String
r, (a, String)
res <- String -> ReadS a
reader String
kw String
s]

-- | @'readData' p@ is a parser for datatypes where each alternative
-- begins with a data constructor.  It parses the constructor and
-- passes it to @p@.  Parsers for various constructors can be constructed
-- with 'readUnaryWith' and 'readBinaryWith', and combined with
-- '(<|>)' from the 'Alternative' class.
--
-- @since 4.10.0.0
readData :: ReadPrec a -> ReadPrec a
readData :: forall a. ReadPrec a -> ReadPrec a
readData ReadPrec a
reader = ReadPrec a -> ReadPrec a
forall a. ReadPrec a -> ReadPrec a
parens (ReadPrec a -> ReadPrec a) -> ReadPrec a -> ReadPrec a
forall a b. (a -> b) -> a -> b
$ Int -> ReadPrec a -> ReadPrec a
forall a. Int -> ReadPrec a -> ReadPrec a
prec Int
10 ReadPrec a
reader

-- | @'readsUnaryWith' rp n c n'@ matches the name of a unary data constructor
-- and then parses its argument using @rp@.
--
-- @since 4.9.0.0
readsUnaryWith :: (Int -> ReadS a) -> String -> (a -> t) -> String -> ReadS t
readsUnaryWith :: forall a t.
(Int -> ReadS a) -> String -> (a -> t) -> String -> ReadS t
readsUnaryWith Int -> ReadS a
rp String
name a -> t
cons String
kw String
s =
    [(a -> t
cons a
x,String
t) | String
kw String -> String -> Bool
forall a. Eq a => a -> a -> Bool
== String
name, (a
x,String
t) <- Int -> ReadS a
rp Int
11 String
s]

-- | @'readUnaryWith' rp n c'@ matches the name of a unary data constructor
-- and then parses its argument using @rp@.
--
-- @since 4.10.0.0
readUnaryWith :: ReadPrec a -> String -> (a -> t) -> ReadPrec t
readUnaryWith :: forall a t. ReadPrec a -> String -> (a -> t) -> ReadPrec t
readUnaryWith ReadPrec a
rp String
name a -> t
cons = do
    Lexeme -> ReadPrec ()
expectP (Lexeme -> ReadPrec ()) -> Lexeme -> ReadPrec ()
forall a b. (a -> b) -> a -> b
$ String -> Lexeme
Ident String
name
    a
x <- ReadPrec a -> ReadPrec a
forall a. ReadPrec a -> ReadPrec a
step ReadPrec a
rp
    t -> ReadPrec t
forall (m :: * -> *) a. Monad m => a -> m a
return (t -> ReadPrec t) -> t -> ReadPrec t
forall a b. (a -> b) -> a -> b
$ a -> t
cons a
x

-- | @'readsBinaryWith' rp1 rp2 n c n'@ matches the name of a binary
-- data constructor and then parses its arguments using @rp1@ and @rp2@
-- respectively.
--
-- @since 4.9.0.0
readsBinaryWith :: (Int -> ReadS a) -> (Int -> ReadS b) ->
    String -> (a -> b -> t) -> String -> ReadS t
readsBinaryWith :: forall a b t.
(Int -> ReadS a)
-> (Int -> ReadS b) -> String -> (a -> b -> t) -> String -> ReadS t
readsBinaryWith Int -> ReadS a
rp1 Int -> ReadS b
rp2 String
name a -> b -> t
cons String
kw String
s =
    [(a -> b -> t
cons a
x b
y,String
u) | String
kw String -> String -> Bool
forall a. Eq a => a -> a -> Bool
== String
name, (a
x,String
t) <- Int -> ReadS a
rp1 Int
11 String
s, (b
y,String
u) <- Int -> ReadS b
rp2 Int
11 String
t]

-- | @'readBinaryWith' rp1 rp2 n c'@ matches the name of a binary
-- data constructor and then parses its arguments using @rp1@ and @rp2@
-- respectively.
--
-- @since 4.10.0.0
readBinaryWith :: ReadPrec a -> ReadPrec b ->
    String -> (a -> b -> t) -> ReadPrec t
readBinaryWith :: forall a b t.
ReadPrec a -> ReadPrec b -> String -> (a -> b -> t) -> ReadPrec t
readBinaryWith ReadPrec a
rp1 ReadPrec b
rp2 String
name a -> b -> t
cons = do
    Lexeme -> ReadPrec ()
expectP (Lexeme -> ReadPrec ()) -> Lexeme -> ReadPrec ()
forall a b. (a -> b) -> a -> b
$ String -> Lexeme
Ident String
name
    a
x <- ReadPrec a -> ReadPrec a
forall a. ReadPrec a -> ReadPrec a
step ReadPrec a
rp1
    b
y <- ReadPrec b -> ReadPrec b
forall a. ReadPrec a -> ReadPrec a
step ReadPrec b
rp2
    t -> ReadPrec t
forall (m :: * -> *) a. Monad m => a -> m a
return (t -> ReadPrec t) -> t -> ReadPrec t
forall a b. (a -> b) -> a -> b
$ a -> b -> t
cons a
x b
y

-- | @'showsUnaryWith' sp n d x@ produces the string representation of a
-- unary data constructor with name @n@ and argument @x@, in precedence
-- context @d@.
--
-- @since 4.9.0.0
showsUnaryWith :: (Int -> a -> ShowS) -> String -> Int -> a -> ShowS
showsUnaryWith :: forall a. (Int -> a -> ShowS) -> String -> Int -> a -> ShowS
showsUnaryWith Int -> a -> ShowS
sp String
name Int
d a
x = Bool -> ShowS -> ShowS
showParen (Int
d Int -> Int -> Bool
forall a. Ord a => a -> a -> Bool
> Int
10) (ShowS -> ShowS) -> ShowS -> ShowS
forall a b. (a -> b) -> a -> b
$
    String -> ShowS
showString String
name ShowS -> ShowS -> ShowS
forall b c a. (b -> c) -> (a -> b) -> a -> c
. Char -> ShowS
showChar Char
' ' ShowS -> ShowS -> ShowS
forall b c a. (b -> c) -> (a -> b) -> a -> c
. Int -> a -> ShowS
sp Int
11 a
x

-- | @'showsBinaryWith' sp1 sp2 n d x y@ produces the string
-- representation of a binary data constructor with name @n@ and arguments
-- @x@ and @y@, in precedence context @d@.
--
-- @since 4.9.0.0
showsBinaryWith :: (Int -> a -> ShowS) -> (Int -> b -> ShowS) ->
    String -> Int -> a -> b -> ShowS
showsBinaryWith :: forall a b.
(Int -> a -> ShowS)
-> (Int -> b -> ShowS) -> String -> Int -> a -> b -> ShowS
showsBinaryWith Int -> a -> ShowS
sp1 Int -> b -> ShowS
sp2 String
name Int
d a
x b
y = Bool -> ShowS -> ShowS
showParen (Int
d Int -> Int -> Bool
forall a. Ord a => a -> a -> Bool
> Int
10) (ShowS -> ShowS) -> ShowS -> ShowS
forall a b. (a -> b) -> a -> b
$
    String -> ShowS
showString String
name ShowS -> ShowS -> ShowS
forall b c a. (b -> c) -> (a -> b) -> a -> c
. Char -> ShowS
showChar Char
' ' ShowS -> ShowS -> ShowS
forall b c a. (b -> c) -> (a -> b) -> a -> c
. Int -> a -> ShowS
sp1 Int
11 a
x ShowS -> ShowS -> ShowS
forall b c a. (b -> c) -> (a -> b) -> a -> c
. Char -> ShowS
showChar Char
' ' ShowS -> ShowS -> ShowS
forall b c a. (b -> c) -> (a -> b) -> a -> c
. Int -> b -> ShowS
sp2 Int
11 b
y

-- Obsolete building blocks

-- | @'readsUnary' n c n'@ matches the name of a unary data constructor
-- and then parses its argument using 'readsPrec'.
--
-- @since 4.9.0.0
{-# DEPRECATED readsUnary "Use 'readsUnaryWith' to define 'liftReadsPrec'" #-}
readsUnary :: (Read a) => String -> (a -> t) -> String -> ReadS t
readsUnary :: forall a t. Read a => String -> (a -> t) -> String -> ReadS t
readsUnary String
name a -> t
cons String
kw String
s =
    [(a -> t
cons a
x,String
t) | String
kw String -> String -> Bool
forall a. Eq a => a -> a -> Bool
== String
name, (a
x,String
t) <- Int -> ReadS a
forall a. Read a => Int -> ReadS a
readsPrec Int
11 String
s]

-- | @'readsUnary1' n c n'@ matches the name of a unary data constructor
-- and then parses its argument using 'readsPrec1'.
--
-- @since 4.9.0.0
{-# DEPRECATED readsUnary1 "Use 'readsUnaryWith' to define 'liftReadsPrec'" #-}
readsUnary1 :: (Read1 f, Read a) => String -> (f a -> t) -> String -> ReadS t
readsUnary1 :: forall (f :: * -> *) a t.
(Read1 f, Read a) =>
String -> (f a -> t) -> String -> ReadS t
readsUnary1 String
name f a -> t
cons String
kw String
s =
    [(f a -> t
cons f a
x,String
t) | String
kw String -> String -> Bool
forall a. Eq a => a -> a -> Bool
== String
name, (f a
x,String
t) <- Int -> ReadS (f a)
forall (f :: * -> *) a. (Read1 f, Read a) => Int -> ReadS (f a)
readsPrec1 Int
11 String
s]

-- | @'readsBinary1' n c n'@ matches the name of a binary data constructor
-- and then parses its arguments using 'readsPrec1'.
--
-- @since 4.9.0.0
{-# DEPRECATED readsBinary1
      "Use 'readsBinaryWith' to define 'liftReadsPrec'" #-}
readsBinary1 :: (Read1 f, Read1 g, Read a) =>
    String -> (f a -> g a -> t) -> String -> ReadS t
readsBinary1 :: forall (f :: * -> *) (g :: * -> *) a t.
(Read1 f, Read1 g, Read a) =>
String -> (f a -> g a -> t) -> String -> ReadS t
readsBinary1 String
name f a -> g a -> t
cons String
kw String
s =
    [(f a -> g a -> t
cons f a
x g a
y,String
u) | String
kw String -> String -> Bool
forall a. Eq a => a -> a -> Bool
== String
name,
        (f a
x,String
t) <- Int -> ReadS (f a)
forall (f :: * -> *) a. (Read1 f, Read a) => Int -> ReadS (f a)
readsPrec1 Int
11 String
s, (g a
y,String
u) <- Int -> ReadS (g a)
forall (f :: * -> *) a. (Read1 f, Read a) => Int -> ReadS (f a)
readsPrec1 Int
11 String
t]

-- | @'showsUnary' n d x@ produces the string representation of a unary data
-- constructor with name @n@ and argument @x@, in precedence context @d@.
--
-- @since 4.9.0.0
{-# DEPRECATED showsUnary "Use 'showsUnaryWith' to define 'liftShowsPrec'" #-}
showsUnary :: (Show a) => String -> Int -> a -> ShowS
showsUnary :: forall a. Show a => String -> Int -> a -> ShowS
showsUnary String
name Int
d a
x = Bool -> ShowS -> ShowS
showParen (Int
d Int -> Int -> Bool
forall a. Ord a => a -> a -> Bool
> Int
10) (ShowS -> ShowS) -> ShowS -> ShowS
forall a b. (a -> b) -> a -> b
$
    String -> ShowS
showString String
name ShowS -> ShowS -> ShowS
forall b c a. (b -> c) -> (a -> b) -> a -> c
. Char -> ShowS
showChar Char
' ' ShowS -> ShowS -> ShowS
forall b c a. (b -> c) -> (a -> b) -> a -> c
. Int -> a -> ShowS
forall a. Show a => Int -> a -> ShowS
showsPrec Int
11 a
x

-- | @'showsUnary1' n d x@ produces the string representation of a unary data
-- constructor with name @n@ and argument @x@, in precedence context @d@.
--
-- @since 4.9.0.0
{-# DEPRECATED showsUnary1 "Use 'showsUnaryWith' to define 'liftShowsPrec'" #-}
showsUnary1 :: (Show1 f, Show a) => String -> Int -> f a -> ShowS
showsUnary1 :: forall (f :: * -> *) a.
(Show1 f, Show a) =>
String -> Int -> f a -> ShowS
showsUnary1 String
name Int
d f a
x = Bool -> ShowS -> ShowS
showParen (Int
d Int -> Int -> Bool
forall a. Ord a => a -> a -> Bool
> Int
10) (ShowS -> ShowS) -> ShowS -> ShowS
forall a b. (a -> b) -> a -> b
$
    String -> ShowS
showString String
name ShowS -> ShowS -> ShowS
forall b c a. (b -> c) -> (a -> b) -> a -> c
. Char -> ShowS
showChar Char
' ' ShowS -> ShowS -> ShowS
forall b c a. (b -> c) -> (a -> b) -> a -> c
. Int -> f a -> ShowS
forall (f :: * -> *) a. (Show1 f, Show a) => Int -> f a -> ShowS
showsPrec1 Int
11 f a
x

-- | @'showsBinary1' n d x y@ produces the string representation of a binary
-- data constructor with name @n@ and arguments @x@ and @y@, in precedence
-- context @d@.
--
-- @since 4.9.0.0
{-# DEPRECATED showsBinary1
      "Use 'showsBinaryWith' to define 'liftShowsPrec'" #-}
showsBinary1 :: (Show1 f, Show1 g, Show a) =>
    String -> Int -> f a -> g a -> ShowS
showsBinary1 :: forall (f :: * -> *) (g :: * -> *) a.
(Show1 f, Show1 g, Show a) =>
String -> Int -> f a -> g a -> ShowS
showsBinary1 String
name Int
d f a
x g a
y = Bool -> ShowS -> ShowS
showParen (Int
d Int -> Int -> Bool
forall a. Ord a => a -> a -> Bool
> Int
10) (ShowS -> ShowS) -> ShowS -> ShowS
forall a b. (a -> b) -> a -> b
$
    String -> ShowS
showString String
name ShowS -> ShowS -> ShowS
forall b c a. (b -> c) -> (a -> b) -> a -> c
. Char -> ShowS
showChar Char
' ' ShowS -> ShowS -> ShowS
forall b c a. (b -> c) -> (a -> b) -> a -> c
. Int -> f a -> ShowS
forall (f :: * -> *) a. (Show1 f, Show a) => Int -> f a -> ShowS
showsPrec1 Int
11 f a
x ShowS -> ShowS -> ShowS
forall b c a. (b -> c) -> (a -> b) -> a -> c
.
        Char -> ShowS
showChar Char
' ' ShowS -> ShowS -> ShowS
forall b c a. (b -> c) -> (a -> b) -> a -> c
. Int -> g a -> ShowS
forall (f :: * -> *) a. (Show1 f, Show a) => Int -> f a -> ShowS
showsPrec1 Int
11 g a
y

{- $example
These functions can be used to assemble 'Read' and 'Show' instances for
new algebraic types.  For example, given the definition

> data T f a = Zero a | One (f a) | Two a (f a)

a standard 'Read1' instance may be defined as

> instance (Read1 f) => Read1 (T f) where
>     liftReadPrec rp rl = readData $
>         readUnaryWith rp "Zero" Zero <|>
>         readUnaryWith (liftReadPrec rp rl) "One" One <|>
>         readBinaryWith rp (liftReadPrec rp rl) "Two" Two
>     liftReadListPrec = liftReadListPrecDefault

and the corresponding 'Show1' instance as

> instance (Show1 f) => Show1 (T f) where
>     liftShowsPrec sp _ d (Zero x) =
>         showsUnaryWith sp "Zero" d x
>     liftShowsPrec sp sl d (One x) =
>         showsUnaryWith (liftShowsPrec sp sl) "One" d x
>     liftShowsPrec sp sl d (Two x y) =
>         showsBinaryWith sp (liftShowsPrec sp sl) "Two" d x y

-}