mirror of
https://codeberg.org/ProgramSnail/pattern_matching.git
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106 lines
4.6 KiB
Haskell
106 lines
4.6 KiB
Haskell
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--- NOTE: IS NOT COMPLETED ---
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import Data.Map.Strict as Map
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import Data.Bifunctor as Bifunctor
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import Data.Maybe as Maybe
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import Control.Monad as Monad
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type Symb = String
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infixl 4 :@:
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-------------------------------------------------------------------------
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-- %x + 3 := 12
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-- addp :: BoxT Int -> Int -> Int -> ???
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-- addp :: Out Int -> In Int -> In Int
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-- addp :: {x: Box Int} -> {_: Int} -> {_: Int} -> ??? {x: Int}
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-- addp :: Box Int -> In Int -> In Int -> Ctx
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-- addp :: Box x Int -> Int -> Int -> {x: Int}
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-- addp (Box x Int) 3 <- type ??? {_: Int} -> {x: Int}
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-- Match ((+') (Box x Int) 3) 12
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type CtxT = Map Symb Type
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-- TODO: proper types for all nodes
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data Type = Boo
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| Type :-> Type
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| ContextT CtxT
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| BoxT Symb Type
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deriving (Read,Show,Eq)
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type Ctx = Map Symb Term
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data Term = Fls
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| Tru
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| OpenContext {ctx :: Term, term :: Term}
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| GetFromContext {x :: Symb, ctx :: Term}
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| Context Ctx
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| Var Symb
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| Box Symb Type
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| Term :@: Term
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| Match {pattern :: Term, doThen :: Term, doElse :: Term}
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deriving (Read,Show)
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assign :: Term -> Term -> Maybe Ctx
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assign Fls Fls = Just Map.empty
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assign Tru Tru = Just Map.empty
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-- assign (OpenContext ctx term) term = Just Map.empty -- TODO ?? no meaning, should have been evaluated
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-- assign (GetFromContext x ctx) term = Just Map.empty -- TODO ?? no meaning, should have biie evaluated
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-- assign (Context ctx) term = Just Map.empty -- TODO ?? can't assign term, no meaning ??
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assign (Var x) (Var y) | x == y = Just Map.empty
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assign (Box x t) term = Just $ Map.singleton x term
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-- assign (left :@: right) (left' :@: right') = do ctxLeft <- assign left left' -- TODO: ?? probably should hav been evaluated first
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-- ctxRight <- assign right right'
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-- Just $ Map.union ctxLeft ctxRight
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assign match@(Match {}) term = case whnf (match :@: term) of
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Context ctx -> Just ctx
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_ -> Nothing
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assign _ _ = Nothing
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-- TODO: check
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-- TODO: choose eval trategy
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-- TODO: separate unsuccessful assignment and camputation error during assignment ??
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oneStep :: Term -> Maybe Term
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oneStep Fls = Nothing
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oneStep Tru = Nothing
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oneStep (OpenContext {ctx, term}) = error "not implemented yet" -- TODO
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oneStep (GetFromContext {x, ctx}) | Just ctx' <- oneStep ctx = Just $ GetFromContext {x, ctx = ctx'}
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| Context c <- ctx = Map.lookup x c
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oneStep (Context {}) = Nothing
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oneStep (Var {}) = Nothing
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oneStep (Box {}) = Nothing
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oneStep (left :@: right) | Just left' <- oneStep left = Just $ left' :@: right
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| Just right' <- oneStep right = Just $ left :@: right'
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oneStep (Match {pattern, doThen, doElse}) | Just pattern' <- oneStep pattern = Just pattern'
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-- | Just doThen' <- oneStep doThen = Just doThen'
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-- | Just doElse' <- oneStep doElse = Just doElse'
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oneStep (Match {pattern, doThen, doElse} :@: term) | Just c <- assign pattern term = Just $ OpenContext (Context c) doThen
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| otherwise = Just doElse
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oneStep _ = Nothing
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whnf :: Term -> Term
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whnf u = maybe u whnf (oneStep u)
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-----------------------
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-- TODO: all cases, check proper context usage
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-- all functions should return context ??, need to fill variables and use returned expression in some way
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infer :: CtxT -> Term -> Maybe Type
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infer env Tru = Just Boo
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infer env Fls = Just Boo
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infer env (OpenContext {ctx, term}) | Just (ContextT ctxT) <- infer env ctx = infer (Map.union env ctxT) term -- TODO: better intersection, properly check duplicates
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infer env (GetFromContext {x, ctx}) | Just (ContextT ctxT) <- infer env ctx = Map.lookup x ctxT
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infer env (Context ctx) = Just $ ContextT $ Map.fromList $ Maybe.mapMaybe (\(x, term) -> (,) x <$> infer env term) $ Map.toList ctx -- TODO: real context ??
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infer env (Var x) = Map.lookup x env
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infer env (Box x t) = Just $ BoxT x t -- TODO ??
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infer env (left :@: right) = error "TODO" -- let sould be match
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infer env (Match {pattern, doThen, doElse}) = let env' = env in -- TODO: context from pattern, infer assignment
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let patternT = Boo in -- TODO: real type of pattern
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do thenT <- infer env' doThen
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elseT <- infer env' doElse
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Monad.guard $ thenT == elseT
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Just $ patternT :-> thenT
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infer _ _ = Nothing
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