From: TomᚠMusil Date: Wed, 24 Dec 2014 20:09:55 +0000 (+0100) Subject: documentation X-Git-Url: http://git.tomasm.cz/fp.git/commitdiff_plain/7be2a6546f666dbbc5e3fe756766ee17e3c3d46a?ds=sidebyside documentation --- diff --git a/fp.cabal b/fp.cabal index 4c137d1..363a35c 100644 --- a/fp.cabal +++ b/fp.cabal @@ -17,8 +17,8 @@ cabal-version: >=1.10 library exposed-modules: Lambda - other-modules: Lambda.Term Lambda.Parser.Fancy + other-modules: Lambda.Term build-depends: base >=4.7 && <4.8 , text >=1.2 && <1.3 , attoparsec >=0.12 && <0.13 diff --git a/src/Lambda.hs b/src/Lambda.hs index b3a25ce..3026b75 100644 --- a/src/Lambda.hs +++ b/src/Lambda.hs @@ -14,6 +14,7 @@ module Lambda ( -- * Types VarName , Term(..) + , pattern RedEx -- * Reduction , alphaNorm , reduce @@ -75,9 +76,9 @@ reduce (App t u) = app (reduce t) u data Strategy = Eager | Lazy -reduceStep :: (Monad m) => Term -> m Term -reduceStep (RedEx x s t) = return $ substitute x t s -reduceStep t = return t +reduceStep :: Term -> Term +reduceStep (RedEx x s t) = substitute x t s +reduceStep t = t data Z = R Term Z | L Z Term | ZL VarName Z | E data D = Up | Down @@ -96,6 +97,8 @@ unmove :: TermZipper -> TermZipper unmove (t, L c r, Down) = (App t r, c, Down) unmove x = x +-- getTerm :: TermZipper -> Term + travPost :: (Monad m) => (Term -> m Term) -> Term -> m Term travPost fnc term = tr fnc (term, E, Down) where @@ -130,12 +133,13 @@ travPre fnc term = tr fnc (term, E, Down) -- >>> toNormalForm Lazy 100 $ (App (App cK cI) cY) -- Just (λx.x) -- --- prop> (\ t u -> t == u || t == Nothing || u == Nothing) (alphaNorm <$> toNormalForm Lazy 1000 x) (alphaNorm <$> toNormalForm Eager 1000 x) +-- prop> within 10000000 $ (\ t u -> t == u || t == Nothing || u == Nothing) (alphaNorm <$> toNormalForm Lazy 1000 x) (alphaNorm <$> toNormalForm Eager 1000 x) +-- inf = tRead "(\\d.a ((\\d c.c d c) (\\x y z.x z (y z)) (\\f.(\\x.f (x x)) (\\x.f (x x))) e))" toNormalForm :: Strategy -> Int -> Term -> Maybe Term -toNormalForm Eager n = flip evalStateT 0 . travPost (cnt >=> short n >=> reduceStep) -toNormalForm Lazy n = flip evalStateT 0 . travPre (cnt >=> short n >=> reduceStep) +toNormalForm Eager n = flip evalStateT 0 . travPost (cnt >=> short n >=> return . reduceStep) +toNormalForm Lazy n = flip evalStateT 0 . travPre (cnt >=> short n >=> return . reduceStep) cnt :: (Monad m) => Term -> StateT Int m Term cnt t@RedEx{} = do diff --git a/src/Lambda/Parser/Fancy.hs b/src/Lambda/Parser/Fancy.hs index 48593dd..b0f0c2d 100644 --- a/src/Lambda/Parser/Fancy.hs +++ b/src/Lambda/Parser/Fancy.hs @@ -16,7 +16,10 @@ -- TODO: proper documentation -module Lambda.Parser.Fancy where +module Lambda.Parser.Fancy + ( tRead + , parseTerm + ) where import Data.Text as T hiding (map) import Data.Attoparsec.Text diff --git a/src/Lambda/Term.hs b/src/Lambda/Term.hs index e3682c1..a783a66 100644 --- a/src/Lambda/Term.hs +++ b/src/Lambda/Term.hs @@ -11,7 +11,15 @@ -- Data types for λ terms. -module Lambda.Term where +module Lambda.Term + ( -- * Types + VarName + , Term(..) + -- * Pattern synonyms + , pattern RedEx + , pattern AppApp + , pattern EmLambda + ) where type VarName = String @@ -20,5 +28,3 @@ data Term = Var VarName | Lambda VarName Term | App Term Term deriving (Eq) pattern RedEx x t s = App (Lambda x t) s pattern AppApp a b c = App a (App b c) pattern EmLambda x y t = Lambda x (Lambda y t) - -