summaryrefslogtreecommitdiff
path: root/src/GF/Compile/TC.hs
diff options
context:
space:
mode:
authoraarne <aarne@cs.chalmers.se>2008-06-25 16:54:35 +0000
committeraarne <aarne@cs.chalmers.se>2008-06-25 16:54:35 +0000
commite9e80fc389365e24d4300d7d5390c7d833a96c50 (patch)
treef0b58473adaa670bd8fc52ada419d8cad470ee03 /src/GF/Compile/TC.hs
parentb96b36f43de3e2f8b58d5f539daa6f6d47f25870 (diff)
changed names of resource-1.3; added a note on homepage on release
Diffstat (limited to 'src/GF/Compile/TC.hs')
-rw-r--r--src/GF/Compile/TC.hs292
1 files changed, 292 insertions, 0 deletions
diff --git a/src/GF/Compile/TC.hs b/src/GF/Compile/TC.hs
new file mode 100644
index 000000000..c0c8a83ae
--- /dev/null
+++ b/src/GF/Compile/TC.hs
@@ -0,0 +1,292 @@
+----------------------------------------------------------------------
+-- |
+-- Module : TC
+-- Maintainer : AR
+-- Stability : (stable)
+-- Portability : (portable)
+--
+-- > CVS $Date: 2005/10/02 20:50:19 $
+-- > CVS $Author: aarne $
+-- > CVS $Revision: 1.11 $
+--
+-- Thierry Coquand's type checking algorithm that creates a trace
+-----------------------------------------------------------------------------
+
+module GF.Compile.TC (AExp(..),
+ Theory,
+ checkExp,
+ inferExp,
+ checkEqs,
+ eqVal,
+ whnf
+ ) where
+
+import GF.Data.Operations
+import GF.Grammar.Predef
+import GF.Grammar.Abstract
+
+import Control.Monad
+import Data.List (sortBy)
+
+data AExp =
+ AVr Ident Val
+ | ACn QIdent Val
+ | AType
+ | AInt Integer
+ | AFloat Double
+ | AStr String
+ | AMeta MetaSymb Val
+ | AApp AExp AExp Val
+ | AAbs Ident Val AExp
+ | AProd Ident AExp AExp
+ | AEqs [([Exp],AExp)] --- not used
+ | AData Val
+ deriving (Eq,Show)
+
+type Theory = QIdent -> Err Val
+
+lookupConst :: Theory -> QIdent -> Err Val
+lookupConst th f = th f
+
+lookupVar :: Env -> Ident -> Err Val
+lookupVar g x = maybe (prtBad "unknown variable" x) return $ lookup x ((IW,uVal):g)
+-- wild card IW: no error produced, ?0 instead.
+
+type TCEnv = (Int,Env,Env)
+
+emptyTCEnv :: TCEnv
+emptyTCEnv = (0,[],[])
+
+whnf :: Val -> Err Val
+whnf v = ---- errIn ("whnf" +++ prt v) $ ---- debug
+ case v of
+ VApp u w -> do
+ u' <- whnf u
+ w' <- whnf w
+ app u' w'
+ VClos env e -> eval env e
+ _ -> return v
+
+app :: Val -> Val -> Err Val
+app u v = case u of
+ VClos env (Abs x e) -> eval ((x,v):env) e
+ _ -> return $ VApp u v
+
+eval :: Env -> Exp -> Err Val
+eval env e = ---- errIn ("eval" +++ prt e +++ "in" +++ prEnv env) $
+ case e of
+ Vr x -> lookupVar env x
+ Q m c -> return $ VCn (m,c)
+ QC m c -> return $ VCn (m,c) ---- == Q ?
+ Sort c -> return $ VType --- the only sort is Type
+ App f a -> join $ liftM2 app (eval env f) (eval env a)
+ _ -> return $ VClos env e
+
+eqVal :: Int -> Val -> Val -> Err [(Val,Val)]
+eqVal k u1 u2 = ---- errIn (prt u1 +++ "<>" +++ prBracket (show k) +++ prt u2) $
+ do
+ w1 <- whnf u1
+ w2 <- whnf u2
+ let v = VGen k
+ case (w1,w2) of
+ (VApp f1 a1, VApp f2 a2) -> liftM2 (++) (eqVal k f1 f2) (eqVal k a1 a2)
+ (VClos env1 (Abs x1 e1), VClos env2 (Abs x2 e2)) ->
+ eqVal (k+1) (VClos ((x1,v x1):env1) e1) (VClos ((x2,v x1):env2) e2)
+ (VClos env1 (Prod x1 a1 e1), VClos env2 (Prod x2 a2 e2)) ->
+ liftM2 (++)
+ (eqVal k (VClos env1 a1) (VClos env2 a2))
+ (eqVal (k+1) (VClos ((x1,v x1):env1) e1) (VClos ((x2,v x1):env2) e2))
+ (VGen i _, VGen j _) -> return [(w1,w2) | i /= j]
+ (VCn (_, i), VCn (_,j)) -> return [(w1,w2) | i /= j]
+ --- thus ignore qualifications; valid because inheritance cannot
+ --- be qualified. Simplifies annotation. AR 17/3/2005
+ _ -> return [(w1,w2) | w1 /= w2]
+-- invariant: constraints are in whnf
+
+checkType :: Theory -> TCEnv -> Exp -> Err (AExp,[(Val,Val)])
+checkType th tenv e = checkExp th tenv e vType
+
+checkExp :: Theory -> TCEnv -> Exp -> Val -> Err (AExp, [(Val,Val)])
+checkExp th tenv@(k,rho,gamma) e ty = do
+ typ <- whnf ty
+ let v = VGen k
+ case e of
+ Meta m -> return $ (AMeta m typ,[])
+ EData -> return $ (AData typ,[])
+
+ Abs x t -> case typ of
+ VClos env (Prod y a b) -> do
+ a' <- whnf $ VClos env a ---
+ (t',cs) <- checkExp th
+ (k+1,(x,v x):rho, (x,a'):gamma) t (VClos ((y,v x):env) b)
+ return (AAbs x a' t', cs)
+ _ -> prtBad ("function type expected for" +++ prt e +++ "instead of") typ
+
+-- {- --- to get deprec when checkEqs works (15/9/2005)
+ Eqs es -> do
+ bcs <- mapM (\b -> checkBranch th tenv b typ) es
+ let (bs,css) = unzip bcs
+ return (AEqs bs, concat css)
+-- - }
+ Prod x a b -> do
+ testErr (typ == vType) "expected Type"
+ (a',csa) <- checkType th tenv a
+ (b',csb) <- checkType th (k+1, (x,v x):rho, (x,VClos rho a):gamma) b
+ return (AProd x a' b', csa ++ csb)
+
+ _ -> checkInferExp th tenv e typ
+
+checkInferExp :: Theory -> TCEnv -> Exp -> Val -> Err (AExp, [(Val,Val)])
+checkInferExp th tenv@(k,_,_) e typ = do
+ (e',w,cs1) <- inferExp th tenv e
+ cs2 <- eqVal k w typ
+ return (e',cs1 ++ cs2)
+
+inferExp :: Theory -> TCEnv -> Exp -> Err (AExp, Val, [(Val,Val)])
+inferExp th tenv@(k,rho,gamma) e = case e of
+ Vr x -> mkAnnot (AVr x) $ noConstr $ lookupVar gamma x
+ Q m c | m == cPredefAbs && isPredefCat c
+ -> return (ACn (m,c) vType, vType, [])
+ | otherwise -> mkAnnot (ACn (m,c)) $ noConstr $ lookupConst th (m,c)
+ QC m c -> mkAnnot (ACn (m,c)) $ noConstr $ lookupConst th (m,c) ----
+ EInt i -> return (AInt i, valAbsInt, [])
+ EFloat i -> return (AFloat i, valAbsFloat, [])
+ K i -> return (AStr i, valAbsString, [])
+ Sort _ -> return (AType, vType, [])
+ App f t -> do
+ (f',w,csf) <- inferExp th tenv f
+ typ <- whnf w
+ case typ of
+ VClos env (Prod x a b) -> do
+ (a',csa) <- checkExp th tenv t (VClos env a)
+ b' <- whnf $ VClos ((x,VClos rho t):env) b
+ return $ (AApp f' a' b', b', csf ++ csa)
+ _ -> prtBad ("Prod expected for function" +++ prt f +++ "instead of") typ
+ _ -> prtBad "cannot infer type of expression" e
+
+checkEqs :: Theory -> TCEnv -> (Fun,Trm) -> Val -> Err [(Val,Val)]
+checkEqs th tenv@(k,rho,gamma) (fun@(m,f),def) val = case def of
+ Eqs es -> liftM concat $ mapM checkBranch es
+ _ -> liftM snd $ checkExp th tenv def val
+ where
+ checkBranch (ps,df) =
+ let
+ (ps',_,vars) = foldr p2t ([],0,[]) ps
+ fps = mkApp (Q m f) ps'
+ in errIn ("branch" +++ prt fps) $ do
+ (aexp, typ, cs1) <- inferExp th tenv fps
+ let
+ bds = binds vars aexp
+ tenv' = (k, rho, bds ++ gamma)
+ (_,cs2) <- errIn (show bds) $ checkExp th tenv' df typ
+ return $ (cs1 ++ cs2)
+ p2t p (ps,i,g) = case p of
+ PW -> (Meta (MetaSymb i) : ps, i+1, g)
+ PV IW -> (Meta (MetaSymb i) : ps, i+1, g)
+ PV x -> (Meta (MetaSymb i) : ps, i+1,upd x i g)
+ PString s -> ( K s : ps, i, g)
+ PInt n -> (EInt n : ps, i, g)
+ PFloat n -> (EFloat n : ps, i, g)
+ PP m c xs -> (mkApp (qq (m,c)) xss : ps, i', g')
+ where (xss,i',g') = foldr p2t ([],i,g) xs
+ _ -> error $ "undefined p2t case" +++ prt p +++ "in checkBranch"
+ upd x i g = (x,i) : g --- to annotate pattern variables: treat as metas
+
+ -- notice: in vars, the sequence 0.. is sorted. In subst aexp, all
+ -- this occurs and nothing else.
+ binds vars aexp = [(x,v) | ((x,_),v) <- zip vars metas] where
+ metas = map snd $ sortBy (\ (x,_) (y,_) -> compare x y) $ subst aexp
+ subst aexp = case aexp of
+ AMeta (MetaSymb i) v -> [(i,v)]
+ AApp c a _ -> subst c ++ subst a
+ _ -> [] -- never matter in patterns
+
+checkBranch :: Theory -> TCEnv -> Equation -> Val -> Err (([Exp],AExp),[(Val,Val)])
+checkBranch th tenv b@(ps,t) ty = errIn ("branch" +++ show b) $
+ chB tenv' ps' ty
+ where
+
+ (ps',_,rho2,k') = ps2ts k ps
+ tenv' = (k, rho2++rho, gamma) ---- k' ?
+ (k,rho,gamma) = tenv
+
+ chB tenv@(k,rho,gamma) ps ty = case ps of
+ p:ps2 -> do
+ typ <- whnf ty
+ case typ of
+ VClos env (Prod y a b) -> do
+ a' <- whnf $ VClos env a
+ (p', sigma, binds, cs1) <- checkP tenv p y a'
+ let tenv' = (length binds, sigma ++ rho, binds ++ gamma)
+ ((ps',exp),cs2) <- chB tenv' ps2 (VClos ((y,p'):env) b)
+ return ((p:ps',exp), cs1 ++ cs2) -- don't change the patt
+ _ -> prtBad ("Product expected for definiens" +++prt t +++ "instead of") typ
+ [] -> do
+ (e,cs) <- checkExp th tenv t ty
+ return (([],e),cs)
+ checkP env@(k,rho,gamma) t x a = do
+ (delta,cs) <- checkPatt th env t a
+ let sigma = [(x, VGen i x) | ((x,_),i) <- zip delta [k..]]
+ return (VClos sigma t, sigma, delta, cs)
+
+ ps2ts k = foldr p2t ([],0,[],k)
+ p2t p (ps,i,g,k) = case p of
+ PW -> (Meta (MetaSymb i) : ps, i+1,g,k)
+ PV IW -> (Meta (MetaSymb i) : ps, i+1,g,k)
+ PV x -> (Vr x : ps, i, upd x k g,k+1)
+ PString s -> (K s : ps, i, g, k)
+ PInt n -> (EInt n : ps, i, g, k)
+ PFloat n -> (EFloat n : ps, i, g, k)
+ PP m c xs -> (mkApp (qq (m,c)) xss : ps, j, g',k')
+ where (xss,j,g',k') = foldr p2t ([],i,g,k) xs
+ _ -> error $ "undefined p2t case" +++ prt p +++ "in checkBranch"
+
+ upd x k g = (x, VGen k x) : g --- hack to recognize pattern variables
+
+
+checkPatt :: Theory -> TCEnv -> Exp -> Val -> Err (Binds,[(Val,Val)])
+checkPatt th tenv exp val = do
+ (aexp,_,cs) <- checkExpP tenv exp val
+ let binds = extrBinds aexp
+ return (binds,cs)
+ where
+ extrBinds aexp = case aexp of
+ AVr i v -> [(i,v)]
+ AApp f a _ -> extrBinds f ++ extrBinds a
+ _ -> [] -- no other cases are possible
+
+--- ad hoc, to find types of variables
+ checkExpP tenv@(k,rho,gamma) exp val = case exp of
+ Meta m -> return $ (AMeta m val, val, [])
+ Vr x -> return $ (AVr x val, val, [])
+ EInt i -> return (AInt i, valAbsInt, [])
+ EFloat i -> return (AFloat i, valAbsFloat, [])
+ K s -> return (AStr s, valAbsString, [])
+
+ Q m c -> do
+ typ <- lookupConst th (m,c)
+ return $ (ACn (m,c) typ, typ, [])
+ QC m c -> do
+ typ <- lookupConst th (m,c)
+ return $ (ACn (m,c) typ, typ, []) ----
+ App f t -> do
+ (f',w,csf) <- checkExpP tenv f val
+ typ <- whnf w
+ case typ of
+ VClos env (Prod x a b) -> do
+ (a',_,csa) <- checkExpP tenv t (VClos env a)
+ b' <- whnf $ VClos ((x,VClos rho t):env) b
+ return $ (AApp f' a' b', b', csf ++ csa)
+ _ -> prtBad ("Prod expected for function" +++ prt f +++ "instead of") typ
+ _ -> prtBad "cannot typecheck pattern" exp
+
+-- auxiliaries
+
+noConstr :: Err Val -> Err (Val,[(Val,Val)])
+noConstr er = er >>= (\v -> return (v,[]))
+
+mkAnnot :: (Val -> AExp) -> Err (Val,[(Val,Val)]) -> Err (AExp,Val,[(Val,Val)])
+mkAnnot a ti = do
+ (v,cs) <- ti
+ return (a v, v, cs)
+