Lens: Finish the exercises based on Profunctors
Signed-off-by: Sanchayan Maity <maitysanchayan@gmail.com>
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src/Lets/Lens.hs
107
src/Lets/Lens.hs
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@ -78,7 +78,7 @@ import Data.Char(toUpper)
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import Data.Foldable(Foldable(foldMap))
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import Data.Functor((<$>))
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import Data.Map(Map)
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import qualified Data.Map as Map(insert, delete, lookup)
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import qualified Data.Map as Map(insert, delete, lookup, alterF)
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import Data.Monoid(Monoid)
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import qualified Data.Set as Set(Set, insert, delete, member)
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import Data.Traversable(Traversable(traverse))
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@ -274,43 +274,39 @@ type Prism s t a b =
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_Left ::
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Prism (Either a x) (Either b x) a b
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_Left = _
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-- _Left h = let rh = right h in dimap (either Right (Left . Right)) (either pure (fmap Left)) rh
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_Left h = let lh = left h in dimap (either Left (Right . Right)) (either (fmap Left) pure) lh
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_Right ::
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Prism (Either x a) (Either x b) a b
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_Right =
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error "todo: _Right"
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_Right h = let rh = right h in dimap (either (Left . Left) Right) (either pure (fmap Right)) rh
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prism ::
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(b -> t)
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-> (s -> Either t a)
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-> Prism s t a b
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prism =
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error "todo: prism"
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prism bToT sToEta pafb = let rh = right pafb in dimap sToEta (either pure (fmap bToT)) rh
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_Just ::
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Prism (Maybe a) (Maybe b) a b
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_Just =
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error "todo: _Just"
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_Just = prism Just (maybe (Left Nothing) Right)
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_Nothing ::
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Prism (Maybe a) (Maybe a) () ()
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_Nothing =
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error "todo: _Nothing"
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_Nothing = prism (\_ -> Nothing) (maybe (Right ()) (Left . Just))
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setP ::
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Prism s t a b
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-> s
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-> Either t a
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setP _ _ =
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error "todo: setP"
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setP p = let pl = p Left in either Right Left . pl
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getP ::
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Prism s t a b
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-> b
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-> t
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getP _ _ =
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error "todo: getP"
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-- Copied :(
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getP p = let pti = p . Tagged . Identity in getIdentity . getTagged . pti
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type Prism' a b =
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Prism a a b b
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@ -333,8 +329,7 @@ modify ::
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-> (a -> b)
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-> s
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-> t
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modify _ _ _ =
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error "todo: modify"
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modify l f = getIdentity . l (Identity . f)
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-- | An alias for @modify@.
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(%~) ::
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@ -363,8 +358,7 @@ infixr 4 %~
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-> b
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-> s
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-> t
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(.~) _ _ _ =
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error "todo: (.~)"
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(.~) l = let ml = modify l in ml . const
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infixl 5 .~
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@ -384,8 +378,7 @@ fmodify ::
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-> (a -> f b)
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-> s
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-> f t
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fmodify _ _ _ =
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error "todo: fmodify"
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fmodify l = l
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-- |
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--
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@ -400,8 +393,7 @@ fmodify _ _ _ =
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-> f b
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-> s
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-> f t
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(|=) _ _ _ =
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error "todo: (|=)"
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(|=) l = let fl = fmodify l in fl . const
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infixl 5 |=
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@ -411,8 +403,7 @@ infixl 5 |=
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-- (30,"abc")
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fstL ::
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Lens (a, x) (b, x) a b
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fstL =
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error "todo: fstL"
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fstL f (x, y) = let fx = f x in fmap (\x' -> (x', y)) fx
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-- |
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--
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@ -420,8 +411,7 @@ fstL =
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-- (13,"abcdef")
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sndL ::
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Lens (x, a) (x, b) a b
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sndL =
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error "todo: sndL"
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sndL f (x, y) = let fy = f y in fmap (\y' -> (x, y')) fy
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-- |
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--
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@ -496,8 +486,7 @@ compose ::
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Lens s t a b
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-> Lens q r s t
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-> Lens q r a b
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compose _ _ =
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error "todo: compose"
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compose l1 l2 = l2 . l1
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-- | An alias for @compose@.
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(|.) ::
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@ -518,8 +507,7 @@ infixr 9 |.
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-- 4
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identity ::
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Lens a b a b
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identity =
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error "todo: identity"
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identity = id
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-- |
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--
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@ -562,8 +550,9 @@ choice ::
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Lens s t a b
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-> Lens q r a b
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-> Lens (Either s q) (Either t r) a b
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choice _ _ =
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error "todo: choice"
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choice l1 l2 = (\f esq -> case esq of
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Left s -> Left <$> (l1 f s)
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Right q -> Right <$> (l2 f q))
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-- | An alias for @choice@.
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(|||) ::
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@ -646,8 +635,7 @@ intAndL p (IntAnd n a) =
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getSuburb ::
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Person
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-> String
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getSuburb =
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error "todo: getSuburb"
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getSuburb = get $ (compose suburbL addressL)
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-- |
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--
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@ -660,8 +648,7 @@ setStreet ::
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Person
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-> String
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-> Person
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setStreet =
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error "todo: setStreet"
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setStreet = set $ (compose streetL addressL)
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-- |
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--
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@ -673,8 +660,8 @@ setStreet =
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getAgeAndCountry ::
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(Person, Locality)
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-> (Int, String)
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getAgeAndCountry =
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error "todo: getAgeAndCountry"
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getAgeAndCountry (person, locality) = (get ageL person,
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get countryL locality)
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-- |
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--
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@ -685,8 +672,9 @@ getAgeAndCountry =
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-- (Person 28 "Mary" (Address "83 Mary Ln" "Maryland" (Locality "Some Other City" "Western Mary" "Maristan")),Address "15 Fred St" "Fredville" (Locality "Mary Mary" "Western Mary" "Maristan"))
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setCityAndLocality ::
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(Person, Address) -> (String, Locality) -> (Person, Address)
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setCityAndLocality =
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error "todo: setCityAndLocality"
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setCityAndLocality (person, address) (city, locality) =
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(set (cityL |. localityL |. addressL) person city,
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set localityL address locality)
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-- |
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--
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@ -699,7 +687,7 @@ getSuburbOrCity ::
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Either Address Locality
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-> String
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getSuburbOrCity =
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error "todo: getSuburbOrCity"
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get (suburbL ||| cityL)
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-- |
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--
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@ -713,7 +701,7 @@ setStreetOrState ::
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-> String
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-> Either Person Locality
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setStreetOrState =
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error "todo: setStreetOrState"
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set (streetL |. addressL ||| stateL)
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-- |
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--
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@ -726,22 +714,20 @@ modifyCityUppercase ::
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Person
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-> Person
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modifyCityUppercase =
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error "todo: modifyCityUppercase"
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cityL |. localityL |. addressL %~ map toUpper
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-- |
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--
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-- >>> modifyIntAndLengthEven (IntAnd 10 "abc")
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-- >>> modify intAndL (even . length) (IntAnd 10 "abc")
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-- IntAnd 10 False
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--
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-- >>> modifyIntAndLengthEven (IntAnd 10 "abcd")
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-- >>> modify intAndL (even . length) (IntAnd 10 "abcd")
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-- IntAnd 10 True
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modifyIntAndLengthEven ::
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IntAnd [a]
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-> IntAnd Bool
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modifyIntAndLengthEven =
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error "todo: modifyIntAndLengthEven"
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----
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intAndL %~ even . length
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-- |
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--
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@ -749,8 +735,8 @@ modifyIntAndLengthEven =
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-- Locality "ABC" "DEF" "GHI"
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traverseLocality ::
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Traversal' Locality String
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traverseLocality =
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error "todo: traverseLocality"
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traverseLocality f (Locality c t y) =
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Locality <$> f c <*> f t <*> f y
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-- |
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--
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@ -762,25 +748,32 @@ traverseLocality =
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intOrIntP ::
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Prism' (IntOr a) Int
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intOrIntP =
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error "todo: intOrIntP"
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prism
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IntOrIs
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(\i -> case i of
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IntOrIs n -> Right n
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IntOrIsNot a -> Left (IntOrIsNot a))
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intOrP ::
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Prism (IntOr a) (IntOr b) a b
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intOrP =
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error "todo: intOrP"
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prism
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IntOrIsNot
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(\i -> case i of
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IntOrIs n -> Left (IntOrIs n)
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IntOrIsNot a -> Right a)
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-- |
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--
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-- >> intOrLengthEven (IntOrIsNot "abc")
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-- >> over intOrP (even . length) (IntOrIsNot "abc")
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-- IntOrIsNot False
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--
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-- >>> intOrLengthEven (IntOrIsNot "abcd")
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-- >>> over intOrP (even . length) (IntOrIsNot "abcd")
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-- IntOrIsNot True
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--
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-- >>> intOrLengthEven (IntOrIs 10)
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-- >>> over intOrP (even . length) (IntOrIs 10)
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-- IntOrIs 10
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intOrLengthEven ::
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IntOr [a]
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-> IntOr Bool
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intOrLengthEven =
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error "todo: intOrLengthEven"
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intOrLengthEven = over intOrP (even . length)
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@ -64,12 +64,12 @@ data Lens s t a b =
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Lens
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(forall f. Functor f => (a -> f b) -> s -> f t)
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-- Const :: forall b . a -> Const a b
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get ::
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Lens s t a b
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-> s
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-> a
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get (Lens r) =
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getConst . r Const
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get (Lens r) s = let rc = r Const in getConst $ rc s
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set ::
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Lens s t a b
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