From: TomᚠMusil Date: Wed, 3 Dec 2014 23:41:22 +0000 (+0100) Subject: documentation X-Git-Url: http://git.tomasm.cz/fp.git/commitdiff_plain/d276bbe5bee77bc96200366978c283993b8154c8 documentation --- diff --git a/fp.cabal b/fp.cabal index 77325ab..789b94c 100644 --- a/fp.cabal +++ b/fp.cabal @@ -15,6 +15,15 @@ build-type: Simple -- extra-source-files: cabal-version: >=1.10 +library + exposed-modules: Lambda + build-depends: base >=4.7 && <4.8 + , text >=1.2 && <1.3 + , attoparsec >=0.12 && <0.13 + , containers + hs-source-dirs: src + default-language: Haskell2010 + executable fp main-is: Main.hs other-modules: Lambda diff --git a/src/Lambda.hs b/src/Lambda.hs index f54a100..c570199 100644 --- a/src/Lambda.hs +++ b/src/Lambda.hs @@ -1,19 +1,32 @@ {-# OPTIONS_GHC -fno-warn-unused-do-bind #-} {-# LANGUAGE PatternSynonyms #-} -module Lambda where +-- | +-- Module : Lambda +-- Copyright : Tomáš Musil 2014 +-- License : BSD-3 +-- +-- Maintainer : tomik.musil@gmail.com +-- Stability : experimental +-- +-- This is a toy λ-calculus implementation. + +module Lambda + ( -- * Types + VarName + , Term(..) + -- * Parsing terms + , parseTerm + , tRead + -- * Reduction + , reduce + ) where + import Data.Text as T import Data.Attoparsec.Text import Control.Applicative -type VarName = String -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) - -- $setup -- >>> import Test.QuickCheck -- >>> import Control.Applicative @@ -21,12 +34,18 @@ pattern EmLambda x y t = Lambda x (Lambda y t) -- >>> let aTerm n = oneof [pure (Var "x"), liftA (Lambda "x") $ aTerm (n - 1), liftA2 App (aTerm (n `div` 2)) (aTerm (n `div` 2))] -- >>> instance Arbitrary Term where arbitrary = sized aTerm --- | Read and show λ-terms --- --- >>> print $ Lambda "x" (Var "x") --- (λx.x) --- --- prop> t == tRead (show (t :: Term)) +type VarName = String + +-- | +-- >>> print $ Lambda "x" (Var "x") +-- (λx.x) + +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) + instance Show Term where show (Var x) = x @@ -38,7 +57,9 @@ instance Show Term where braced :: Term -> String braced t = "(" ++ show t ++ ")" ---instance Read Term where +-- | +-- prop> t == tRead (show (t :: Term)) + tRead :: String -> Term tRead s = case parseOnly (parseTerm <* endOfInput) (T.pack s) of (Right t) -> t