{-# LANGUAGE DataKinds #-} -- | -- Module: Data.Tuple.Optics -- Description: 'Lens'es for tuple types. -- -- This module defines 'Lens'es for the fields of tuple types. These are -- overloaded using the 'Field1' to 'Field9' typeclasses, so that '_1' can be -- used as a 'Lens' for the first field of a tuple with any number of fields (up -- to the maximum supported tuple size, which is currently 9). For example: -- -- >>> view _1 ('a','b','c') -- 'a' -- -- >>> set _3 True ('a','b','c') -- ('a','b',True) -- -- If a datatype has a 'Generic' instance, the corresponding @FieldN@ instances -- can be defined using their default methods: -- -- >>> :set -XDeriveGeneric -- >>> import GHC.Generics (Generic) -- >>> data T a b = MkT a Int b deriving (Generic, Show) -- >>> instance Field1 (T a c) (T b c) a b -- >>> instance Field2 (T a b) (T a b) Int Int -- >>> instance Field3 (T c a) (T c b) a b -- -- >>> set _3 'x' (MkT False 1 ()) -- MkT False 1 'x' -- -- For a generalization of this pattern see 'GPosition'. -- module Data.Tuple.Optics ( -- * Tuples Field1(..) , Field2(..) , Field3(..) , Field4(..) , Field5(..) , Field6(..) , Field7(..) , Field8(..) , Field9(..) -- * Strict variations , _1', _2', _3', _4', _5', _6', _7', _8', _9' ) where import Data.Functor.Identity import Data.Functor.Product import GHC.Generics ((:*:)(..)) import Optics.Generic import Optics.Lens import Optics.Optic -- | Provides access to 1st field of a tuple. class Field1 s t a b | s -> a, t -> b, s b -> t, t a -> s where -- | Access the 1st field of a tuple (and possibly change its type). -- -- >>> (1,2) ^. _1 -- 1 -- -- >>> (1,2) & _1 .~ "hello" -- ("hello",2) -- -- >>> traverseOf _1 putStrLn ("hello","world") -- hello -- ((),"world") -- -- This can also be used on larger tuples as well: -- -- >>> (1,2,3,4,5) & _1 %~ (+41) -- (42,2,3,4,5) _1 :: Lens s t a b default _1 :: GPosition 1 s t a b => Lens s t a b _1 = gposition @1 {-# INLINE[1] _1 #-} instance Field1 (Identity a) (Identity b) a b where _1 = lensVL $ \f (Identity a) -> Identity <$> f a {-# INLINE[1] _1 #-} instance Field1 (Product f g a) (Product f' g a) (f a) (f' a) where _1 = lensVL $ \f ~(Pair a b) -> flip Pair b <$> f a {-# INLINE[1] _1 #-} instance Field1 ((f :*: g) p) ((f' :*: g) p) (f p) (f' p) where _1 = lensVL $ \f ~(l :*: r) -> (:*: r) <$> f l {-# INLINE[1] _1 #-} instance Field1 (a,b) (a',b) a a' where _1 = lensVL $ \k ~(a,b) -> k a <&> \a' -> (a',b) {-# INLINE[1] _1 #-} instance Field1 (a,b,c) (a',b,c) a a' where _1 = lensVL $ \k ~(a,b,c) -> k a <&> \a' -> (a',b,c) {-# INLINE[1] _1 #-} instance Field1 (a,b,c,d) (a',b,c,d) a a' where _1 = lensVL $ \k ~(a,b,c,d) -> k a <&> \a' -> (a',b,c,d) {-# INLINE[1] _1 #-} instance Field1 (a,b,c,d,e) (a',b,c,d,e) a a' where _1 = lensVL $ \k ~(a,b,c,d,e) -> k a <&> \a' -> (a',b,c,d,e) {-# INLINE[1] _1 #-} instance Field1 (a,b,c,d,e,f) (a',b,c,d,e,f) a a' where _1 = lensVL $ \k ~(a,b,c,d,e,f) -> k a <&> \a' -> (a',b,c,d,e,f) {-# INLINE[1] _1 #-} instance Field1 (a,b,c,d,e,f,g) (a',b,c,d,e,f,g) a a' where _1 = lensVL $ \k ~(a,b,c,d,e,f,g) -> k a <&> \a' -> (a',b,c,d,e,f,g) {-# INLINE[1] _1 #-} instance Field1 (a,b,c,d,e,f,g,h) (a',b,c,d,e,f,g,h) a a' where _1 = lensVL $ \k ~(a,b,c,d,e,f,g,h) -> k a <&> \a' -> (a',b,c,d,e,f,g,h) {-# INLINE[1] _1 #-} instance Field1 (a,b,c,d,e,f,g,h,i) (a',b,c,d,e,f,g,h,i) a a' where _1 = lensVL $ \k ~(a,b,c,d,e,f,g,h,i) -> k a <&> \a' -> (a',b,c,d,e,f,g,h,i) {-# INLINE[1] _1 #-} -- | Provides access to the 2nd field of a tuple. class Field2 s t a b | s -> a, t -> b, s b -> t, t a -> s where -- | Access the 2nd field of a tuple. -- -- >>> _2 .~ "hello" $ (1,(),3,4) -- (1,"hello",3,4) -- -- >>> (1,2,3,4) & _2 %~ (*3) -- (1,6,3,4) -- -- >>> traverseOf _2 print (1,2) -- 2 -- (1,()) _2 :: Lens s t a b default _2 :: GPosition 2 s t a b => Lens s t a b _2 = gposition @2 {-# INLINE[1] _2 #-} instance Field2 (Product f g a) (Product f g' a) (g a) (g' a) where _2 = lensVL $ \f ~(Pair a b) -> Pair a <$> f b {-# INLINE[1] _2 #-} instance Field2 ((f :*: g) p) ((f :*: g') p) (g p) (g' p) where _2 = lensVL $ \f ~(l :*: r) -> (l :*:) <$> f r {-# INLINE[1] _2 #-} instance Field2 (a,b) (a,b') b b' where _2 = lensVL $ \k ~(a,b) -> k b <&> \b' -> (a,b') {-# INLINE[1] _2 #-} instance Field2 (a,b,c) (a,b',c) b b' where _2 = lensVL $ \k ~(a,b,c) -> k b <&> \b' -> (a,b',c) {-# INLINE[1] _2 #-} instance Field2 (a,b,c,d) (a,b',c,d) b b' where _2 = lensVL $ \k ~(a,b,c,d) -> k b <&> \b' -> (a,b',c,d) {-# INLINE[1] _2 #-} instance Field2 (a,b,c,d,e) (a,b',c,d,e) b b' where _2 = lensVL $ \k ~(a,b,c,d,e) -> k b <&> \b' -> (a,b',c,d,e) {-# INLINE[1] _2 #-} instance Field2 (a,b,c,d,e,f) (a,b',c,d,e,f) b b' where _2 = lensVL $ \k ~(a,b,c,d,e,f) -> k b <&> \b' -> (a,b',c,d,e,f) {-# INLINE[1] _2 #-} instance Field2 (a,b,c,d,e,f,g) (a,b',c,d,e,f,g) b b' where _2 = lensVL $ \k ~(a,b,c,d,e,f,g) -> k b <&> \b' -> (a,b',c,d,e,f,g) {-# INLINE[1] _2 #-} instance Field2 (a,b,c,d,e,f,g,h) (a,b',c,d,e,f,g,h) b b' where _2 = lensVL $ \k ~(a,b,c,d,e,f,g,h) -> k b <&> \b' -> (a,b',c,d,e,f,g,h) {-# INLINE[1] _2 #-} instance Field2 (a,b,c,d,e,f,g,h,i) (a,b',c,d,e,f,g,h,i) b b' where _2 = lensVL $ \k ~(a,b,c,d,e,f,g,h,i) -> k b <&> \b' -> (a,b',c,d,e,f,g,h,i) {-# INLINE[1] _2 #-} -- | Provides access to the 3rd field of a tuple. class Field3 s t a b | s -> a, t -> b, s b -> t, t a -> s where -- | Access the 3rd field of a tuple. _3 :: Lens s t a b default _3 :: GPosition 3 s t a b => Lens s t a b _3 = gposition @3 {-# INLINE[1] _3 #-} instance Field3 (a,b,c) (a,b,c') c c' where _3 = lensVL $ \k ~(a,b,c) -> k c <&> \c' -> (a,b,c') {-# INLINE[1] _3 #-} instance Field3 (a,b,c,d) (a,b,c',d) c c' where _3 = lensVL $ \k ~(a,b,c,d) -> k c <&> \c' -> (a,b,c',d) {-# INLINE[1] _3 #-} instance Field3 (a,b,c,d,e) (a,b,c',d,e) c c' where _3 = lensVL $ \k ~(a,b,c,d,e) -> k c <&> \c' -> (a,b,c',d,e) {-# INLINE[1] _3 #-} instance Field3 (a,b,c,d,e,f) (a,b,c',d,e,f) c c' where _3 = lensVL $ \k ~(a,b,c,d,e,f) -> k c <&> \c' -> (a,b,c',d,e,f) {-# INLINE[1] _3 #-} instance Field3 (a,b,c,d,e,f,g) (a,b,c',d,e,f,g) c c' where _3 = lensVL $ \k ~(a,b,c,d,e,f,g) -> k c <&> \c' -> (a,b,c',d,e,f,g) {-# INLINE[1] _3 #-} instance Field3 (a,b,c,d,e,f,g,h) (a,b,c',d,e,f,g,h) c c' where _3 = lensVL $ \k ~(a,b,c,d,e,f,g,h) -> k c <&> \c' -> (a,b,c',d,e,f,g,h) {-# INLINE[1] _3 #-} instance Field3 (a,b,c,d,e,f,g,h,i) (a,b,c',d,e,f,g,h,i) c c' where _3 = lensVL $ \k ~(a,b,c,d,e,f,g,h,i) -> k c <&> \c' -> (a,b,c',d,e,f,g,h,i) {-# INLINE[1] _3 #-} -- | Provide access to the 4th field of a tuple. class Field4 s t a b | s -> a, t -> b, s b -> t, t a -> s where -- | Access the 4th field of a tuple. _4 :: Lens s t a b default _4 :: GPosition 4 s t a b => Lens s t a b _4 = gposition @4 {-# INLINE[1] _4 #-} instance Field4 (a,b,c,d) (a,b,c,d') d d' where _4 = lensVL $ \k ~(a,b,c,d) -> k d <&> \d' -> (a,b,c,d') {-# INLINE[1] _4 #-} instance Field4 (a,b,c,d,e) (a,b,c,d',e) d d' where _4 = lensVL $ \k ~(a,b,c,d,e) -> k d <&> \d' -> (a,b,c,d',e) {-# INLINE[1] _4 #-} instance Field4 (a,b,c,d,e,f) (a,b,c,d',e,f) d d' where _4 = lensVL $ \k ~(a,b,c,d,e,f) -> k d <&> \d' -> (a,b,c,d',e,f) {-# INLINE[1] _4 #-} instance Field4 (a,b,c,d,e,f,g) (a,b,c,d',e,f,g) d d' where _4 = lensVL $ \k ~(a,b,c,d,e,f,g) -> k d <&> \d' -> (a,b,c,d',e,f,g) {-# INLINE[1] _4 #-} instance Field4 (a,b,c,d,e,f,g,h) (a,b,c,d',e,f,g,h) d d' where _4 = lensVL $ \k ~(a,b,c,d,e,f,g,h) -> k d <&> \d' -> (a,b,c,d',e,f,g,h) {-# INLINE[1] _4 #-} instance Field4 (a,b,c,d,e,f,g,h,i) (a,b,c,d',e,f,g,h,i) d d' where _4 = lensVL $ \k ~(a,b,c,d,e,f,g,h,i) -> k d <&> \d' -> (a,b,c,d',e,f,g,h,i) {-# INLINE[1] _4 #-} -- | Provides access to the 5th field of a tuple. class Field5 s t a b | s -> a, t -> b, s b -> t, t a -> s where -- | Access the 5th field of a tuple. _5 :: Lens s t a b default _5 :: GPosition 5 s t a b => Lens s t a b _5 = gposition @5 {-# INLINE[1] _5 #-} instance Field5 (a,b,c,d,e) (a,b,c,d,e') e e' where _5 = lensVL $ \k ~(a,b,c,d,e) -> k e <&> \e' -> (a,b,c,d,e') {-# INLINE[1] _5 #-} instance Field5 (a,b,c,d,e,f) (a,b,c,d,e',f) e e' where _5 = lensVL $ \k ~(a,b,c,d,e,f) -> k e <&> \e' -> (a,b,c,d,e',f) {-# INLINE[1] _5 #-} instance Field5 (a,b,c,d,e,f,g) (a,b,c,d,e',f,g) e e' where _5 = lensVL $ \k ~(a,b,c,d,e,f,g) -> k e <&> \e' -> (a,b,c,d,e',f,g) {-# INLINE[1] _5 #-} instance Field5 (a,b,c,d,e,f,g,h) (a,b,c,d,e',f,g,h) e e' where _5 = lensVL $ \k ~(a,b,c,d,e,f,g,h) -> k e <&> \e' -> (a,b,c,d,e',f,g,h) {-# INLINE[1] _5 #-} instance Field5 (a,b,c,d,e,f,g,h,i) (a,b,c,d,e',f,g,h,i) e e' where _5 = lensVL $ \k ~(a,b,c,d,e,f,g,h,i) -> k e <&> \e' -> (a,b,c,d,e',f,g,h,i) {-# INLINE[1] _5 #-} -- | Provides access to the 6th element of a tuple. class Field6 s t a b | s -> a, t -> b, s b -> t, t a -> s where -- | Access the 6th field of a tuple. _6 :: Lens s t a b default _6 :: GPosition 6 s t a b => Lens s t a b _6 = gposition @6 {-# INLINE[1] _6 #-} instance Field6 (a,b,c,d,e,f) (a,b,c,d,e,f') f f' where _6 = lensVL $ \k ~(a,b,c,d,e,f) -> k f <&> \f' -> (a,b,c,d,e,f') {-# INLINE[1] _6 #-} instance Field6 (a,b,c,d,e,f,g) (a,b,c,d,e,f',g) f f' where _6 = lensVL $ \k ~(a,b,c,d,e,f,g) -> k f <&> \f' -> (a,b,c,d,e,f',g) {-# INLINE[1] _6 #-} instance Field6 (a,b,c,d,e,f,g,h) (a,b,c,d,e,f',g,h) f f' where _6 = lensVL $ \k ~(a,b,c,d,e,f,g,h) -> k f <&> \f' -> (a,b,c,d,e,f',g,h) {-# INLINE[1] _6 #-} instance Field6 (a,b,c,d,e,f,g,h,i) (a,b,c,d,e,f',g,h,i) f f' where _6 = lensVL $ \k ~(a,b,c,d,e,f,g,h,i) -> k f <&> \f' -> (a,b,c,d,e,f',g,h,i) {-# INLINE[1] _6 #-} -- | Provide access to the 7th field of a tuple. class Field7 s t a b | s -> a, t -> b, s b -> t, t a -> s where -- | Access the 7th field of a tuple. _7 :: Lens s t a b default _7 :: GPosition 7 s t a b => Lens s t a b _7 = gposition @7 {-# INLINE[1] _7 #-} instance Field7 (a,b,c,d,e,f,g) (a,b,c,d,e,f,g') g g' where _7 = lensVL $ \k ~(a,b,c,d,e,f,g) -> k g <&> \g' -> (a,b,c,d,e,f,g') {-# INLINE[1] _7 #-} instance Field7 (a,b,c,d,e,f,g,h) (a,b,c,d,e,f,g',h) g g' where _7 = lensVL $ \k ~(a,b,c,d,e,f,g,h) -> k g <&> \g' -> (a,b,c,d,e,f,g',h) {-# INLINE[1] _7 #-} instance Field7 (a,b,c,d,e,f,g,h,i) (a,b,c,d,e,f,g',h,i) g g' where _7 = lensVL $ \k ~(a,b,c,d,e,f,g,h,i) -> k g <&> \g' -> (a,b,c,d,e,f,g',h,i) {-# INLINE[1] _7 #-} -- | Provide access to the 8th field of a tuple. class Field8 s t a b | s -> a, t -> b, s b -> t, t a -> s where -- | Access the 8th field of a tuple. _8 :: Lens s t a b default _8 :: GPosition 8 s t a b => Lens s t a b _8 = gposition @8 {-# INLINE[1] _8 #-} instance Field8 (a,b,c,d,e,f,g,h) (a,b,c,d,e,f,g,h') h h' where _8 = lensVL $ \k ~(a,b,c,d,e,f,g,h) -> k h <&> \h' -> (a,b,c,d,e,f,g,h') {-# INLINE[1] _8 #-} instance Field8 (a,b,c,d,e,f,g,h,i) (a,b,c,d,e,f,g,h',i) h h' where _8 = lensVL $ \k ~(a,b,c,d,e,f,g,h,i) -> k h <&> \h' -> (a,b,c,d,e,f,g,h',i) {-# INLINE[1] _8 #-} -- | Provides access to the 9th field of a tuple. class Field9 s t a b | s -> a, t -> b, s b -> t, t a -> s where -- | Access the 9th field of a tuple. _9 :: Lens s t a b default _9 :: GPosition 9 s t a b => Lens s t a b _9 = gposition @9 {-# INLINE[1] _9 #-} instance Field9 (a,b,c,d,e,f,g,h,i) (a,b,c,d,e,f,g,h,i') i i' where _9 = lensVL $ \k ~(a,b,c,d,e,f,g,h,i) -> k i <&> \i' -> (a,b,c,d,e,f,g,h,i') {-# INLINE[1] _9 #-} -- Strict versions of the _1 .. _9 operations -- | Strict version of '_1' _1' :: Field1 s t a b => Lens s t a b _1' = equality' % _1 {-# INLINE _1' #-} -- | Strict version of '_2' _2' :: Field2 s t a b => Lens s t a b _2' = equality' % _2 {-# INLINE _2' #-} -- | Strict version of '_3' _3' :: Field3 s t a b => Lens s t a b _3' = equality' % _3 {-# INLINE _3' #-} -- | Strict version of '_4' _4' :: Field4 s t a b => Lens s t a b _4' = equality' % _4 {-# INLINE _4' #-} -- | Strict version of '_5' _5' :: Field5 s t a b => Lens s t a b _5' = equality' % _5 {-# INLINE _5' #-} -- | Strict version of '_6' _6' :: Field6 s t a b => Lens s t a b _6' = equality' % _6 {-# INLINE _6' #-} -- | Strict version of '_7' _7' :: Field7 s t a b => Lens s t a b _7' = equality' % _7 {-# INLINE _7' #-} -- | Strict version of '_8' _8' :: Field8 s t a b => Lens s t a b _8' = equality' % _8 {-# INLINE _8' #-} -- | Strict version of '_9' _9' :: Field9 s t a b => Lens s t a b _9' = equality' % _9 {-# INLINE _9' #-} -- $setup -- >>> import Optics.Core