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@@ -1,10 +1,16 @@
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module GF.Compile.TypeCheck.ConcreteNew( checkLType, inferLType ) where
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-- The code here is based on the paper:
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-- Simon Peyton Jones, Dimitrios Vytiniotis, Stephanie Weirich.
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-- Practical type inference for arbitrary-rank types.
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-- 14 September 2011
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import GF.Grammar hiding (Env, VGen, VApp, VRecType)
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import GF.Grammar.Lookup
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import GF.Grammar.Predef
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import GF.Grammar.Lockfield
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import GF.Compile.Compute.ConcreteNew1
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import GF.Compile.Compute.ConcreteNew
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import GF.Compile.Compute.Predef(predef)
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import GF.Compile.TypeCheck.Primitives
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import GF.Infra.CheckM
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--import GF.Infra.UseIO
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@@ -16,253 +22,275 @@ import GF.Text.Pretty
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import Data.List (nub, (\\), tails)
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import qualified Data.IntMap as IntMap
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--import GF.Grammar.Parser
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--import System.IO
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--import Debug.Trace
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checkLType :: SourceGrammar -> Term -> Type -> Check (Term, Type)
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checkLType gr t ty = runTcM $ do
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t <- checkSigma gr [] t (eval gr [] ty)
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checkLType :: GlobalEnv -> Term -> Type -> Check (Term, Type)
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checkLType ge t ty = runTcM $ do
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vty <- runErr (eval ge ty)
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t <- checkSigma ge [] t vty
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t <- zonkTerm t
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return (t,ty)
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inferLType :: SourceGrammar -> Term -> Check (Term, Type)
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inferLType gr t = runTcM $ do
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(t,ty) <- inferSigma gr [] t
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inferLType :: GlobalEnv -> Term -> Check (Term, Type)
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inferLType ge@(GE _ _ _ gloc) t = runTcM $ do
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(t,ty) <- inferSigma ge [] t
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t <- zonkTerm t
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ty <- zonkTerm (value2term gr [] ty)
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ty <- zonkTerm (value2term gloc [] ty)
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return (t,ty)
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inferSigma :: SourceGrammar -> Scope -> Term -> TcM (Term,Sigma)
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inferSigma gr scope t = do -- GEN1
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(t,ty) <- tcRho gr scope t Nothing
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env_tvs <- getMetaVars gr (scopeTypes scope)
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res_tvs <- getMetaVars gr [(scope,ty)]
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inferSigma :: GlobalEnv -> Scope -> Term -> TcM (Term,Sigma)
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inferSigma ge scope t = do -- GEN1
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(t,ty) <- tcRho ge scope t Nothing
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let GE _ _ _ loc = ge
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env_tvs <- getMetaVars loc (scopeTypes scope)
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res_tvs <- getMetaVars loc [(scope,ty)]
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let forall_tvs = res_tvs \\ env_tvs
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quantify gr scope t forall_tvs ty
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quantify ge scope t forall_tvs ty
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checkSigma :: SourceGrammar -> Scope -> Term -> Sigma -> TcM Term
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checkSigma gr scope t sigma = do -- GEN2
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(abs, scope, t, rho) <- skolemise id gr scope t sigma
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checkSigma :: GlobalEnv -> Scope -> Term -> Sigma -> TcM Term
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checkSigma ge scope t sigma = do -- GEN2
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(abs, scope, t, rho) <- skolemise id scope t sigma
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let skol_tvs = []
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(t,rho) <- tcRho gr scope t (Just rho)
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esc_tvs <- getFreeVars gr ((scope,sigma) : scopeTypes scope)
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(t,rho) <- tcRho ge scope t (Just rho)
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let GE _ _ _ loc = ge
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esc_tvs <- getFreeVars loc ((scope,sigma) : scopeTypes scope)
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let bad_tvs = filter (`elem` esc_tvs) skol_tvs
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if null bad_tvs
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then return (abs t)
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else tcError (pp "Type not polymorphic enough")
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tcRho :: SourceGrammar -> Scope -> Term -> Maybe Rho -> TcM (Term, Rho)
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tcRho gr scope t@(EInt _) mb_ty = instSigma gr scope t (eval gr [] typeInt) mb_ty
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tcRho gr scope t@(EFloat _) mb_ty = instSigma gr scope t (eval gr [] typeFloat) mb_ty
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tcRho gr scope t@(K _) mb_ty = instSigma gr scope t (eval gr [] typeStr) mb_ty
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tcRho gr scope t@(Empty) mb_ty = instSigma gr scope t (eval gr [] typeStr) mb_ty
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tcRho gr scope t@(Vr v) mb_ty = do -- VAR
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Just vtypeInt = fmap (flip VApp []) (predef cInt)
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Just vtypeFloat = fmap (flip VApp []) (predef cFloat)
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vtypeStr = VSort cStr
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vtypeStrs = VSort cStrs
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vtypeType = VSort cType
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vtypePType = VSort cPType
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tcRho :: GlobalEnv -> Scope -> Term -> Maybe Rho -> TcM (Term, Rho)
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tcRho ge scope t@(EInt _) mb_ty = instSigma ge scope t vtypeInt mb_ty
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tcRho ge scope t@(EFloat _) mb_ty = instSigma ge scope t vtypeFloat mb_ty
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tcRho ge scope t@(K _) mb_ty = instSigma ge scope t vtypeStr mb_ty
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tcRho ge scope t@(Empty) mb_ty = instSigma ge scope t vtypeStr mb_ty
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tcRho ge scope t@(Vr v) mb_ty = do -- VAR
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case lookup v scope of
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Just v_sigma -> instSigma gr scope t v_sigma mb_ty
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Just v_sigma -> instSigma ge scope t v_sigma mb_ty
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Nothing -> tcError ("Unknown variable" <+> v)
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tcRho gr scope t@(Q id) mb_ty
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| elem (fst id) [cPredef,cPredefAbs] =
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case typPredefined (snd id) of
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Just ty -> instSigma gr scope t (eval gr [] ty) mb_ty
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Nothing -> tcError (pp "unknown in Predef:" <+> ppQIdent Qualified id)
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| otherwise = do
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case lookupResType gr id of
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Ok ty -> instSigma gr scope t (eval gr [] ty) mb_ty
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Bad err -> tcError (pp err)
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tcRho gr scope t@(QC id) mb_ty = do
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case lookupResType gr id of
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Ok ty -> instSigma gr scope t (eval gr [] ty) mb_ty
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Bad err -> tcError (pp err)
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tcRho gr scope (App fun arg) mb_ty = do -- APP
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(fun,fun_ty) <- tcRho gr scope fun Nothing
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(arg_ty, res_ty) <- unifyFun gr scope (eval gr (scopeEnv scope) arg) fun_ty
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arg <- checkSigma gr scope arg arg_ty
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instSigma gr scope (App fun arg) res_ty mb_ty
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tcRho ge scope t@(Q id) mb_ty =
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let GE gr _ _ _ = ge
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in case lookupResType gr id of
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Ok ty -> do vty <- runErr (eval ge ty)
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instSigma ge scope t vty mb_ty
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Bad err -> tcError (pp err)
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tcRho ge scope t@(QC id) mb_ty =
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let GE gr _ _ _ = ge
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in case lookupResType gr id of
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Ok ty -> do vty <- runErr (eval ge ty)
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instSigma ge scope t vty mb_ty
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Bad err -> tcError (pp err)
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tcRho ge scope (App fun arg) mb_ty = do -- APP
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(fun,fun_ty) <- tcRho ge scope fun Nothing
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varg <- runErr (value (toplevel ge) arg)
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let GE _ _ _ loc = ge
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(arg_ty, res_ty) <- unifyFun loc scope (varg (scopeStack scope)) fun_ty
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arg <- checkSigma ge scope arg arg_ty
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instSigma ge scope (App fun arg) res_ty mb_ty
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tcRho gr scope (Abs bt var body) Nothing = do -- ABS1
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i <- newMeta (eval gr [] typeType)
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(body,body_ty) <- tcRho gr ((var,VMeta i (scopeEnv scope) []):scope) body Nothing
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return (Abs bt var body, (VClosure (scopeEnv scope)
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(Prod bt identW (Meta i) (value2term gr (scopeVars scope) body_ty))))
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tcRho gr scope (Abs bt var body) (Just ty) = do -- ABS2
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(var_ty, body_ty) <- unifyFun gr scope (VGen (length scope) []) ty
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(body, body_ty) <- tcRho gr ((var,var_ty):scope) body (Just body_ty)
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i <- newMeta vtypeType
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let arg_ty = VMeta i (scopeEnv scope) []
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(body,body_ty) <- tcRho gr ((var,arg_ty):scope) body Nothing
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return (Abs bt var body, (VProd bt arg_ty identW (Bind (const body_ty))))
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tcRho ge scope (Abs bt var body) (Just ty) = do -- ABS2
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let GE _ _ _ loc = ge
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(var_ty, body_ty) <- unifyFun loc scope (VGen (length scope) []) ty
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(body, body_ty) <- tcRho ge ((var,var_ty):scope) body (Just body_ty)
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return (Abs bt var body,ty)
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tcRho gr scope (Let (var, (mb_ann_ty, rhs)) body) mb_ty = do -- LET
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tcRho ge scope (Let (var, (mb_ann_ty, rhs)) body) mb_ty = do -- LET
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(rhs,var_ty) <- case mb_ann_ty of
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Nothing -> inferSigma gr scope rhs
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Just ann_ty -> do (ann_ty, _) <- tcRho gr scope ann_ty (Just (eval gr [] typeType))
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let v_ann_ty = eval gr (scopeEnv scope) ann_ty
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rhs <- checkSigma gr scope rhs v_ann_ty
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Nothing -> inferSigma ge scope rhs
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Just ann_ty -> do (ann_ty, _) <- tcRho ge scope ann_ty (Just vtypeType)
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ov_ann_ty <- runErr (value (toplevel ge) ann_ty)
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let v_ann_ty = ov_ann_ty (scopeStack scope)
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rhs <- checkSigma ge scope rhs v_ann_ty
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return (rhs, v_ann_ty)
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(body, body_ty) <- tcRho gr ((var,var_ty):scope) body mb_ty
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return (Let (var, (Just (value2term gr (scopeVars scope) var_ty), rhs)) body, body_ty)
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tcRho gr scope (Typed body ann_ty) mb_ty = do -- ANNOT
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(ann_ty, _) <- tcRho gr scope ann_ty (Just (eval gr [] typeType))
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let v_ann_ty = eval gr (scopeEnv scope) ann_ty
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body <- checkSigma gr scope body v_ann_ty
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instSigma gr scope (Typed body ann_ty) v_ann_ty mb_ty
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tcRho gr scope (FV ts) mb_ty = do
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(body, body_ty) <- tcRho ge ((var,var_ty):scope) body mb_ty
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let GE _ _ _ loc = ge
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return (Let (var, (Just (value2term loc (scopeVars scope) var_ty), rhs)) body, body_ty)
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tcRho ge scope (Typed body ann_ty) mb_ty = do -- ANNOT
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(ann_ty, _) <- tcRho ge scope ann_ty (Just vtypeType)
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ov_ann_ty <- runErr (value (toplevel ge) ann_ty)
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let v_ann_ty = ov_ann_ty (scopeStack scope)
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body <- checkSigma ge scope body v_ann_ty
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instSigma ge scope (Typed body ann_ty) v_ann_ty mb_ty
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tcRho ge scope (FV ts) mb_ty = do
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case ts of
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[] -> do i <- newMeta (eval gr [] typeType)
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instSigma gr scope (FV []) (VMeta i (scopeEnv scope) []) mb_ty
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(t:ts) -> do (t,ty) <- tcRho gr scope t mb_ty
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[] -> do i <- newMeta vtypeType
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instSigma ge scope (FV []) (VMeta i (scopeEnv scope) []) mb_ty
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(t:ts) -> do (t,ty) <- tcRho ge scope t mb_ty
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let go [] ty = return ([],ty)
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go (t:ts) ty = do (t, ty) <- tcRho gr scope t (Just ty)
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go (t:ts) ty = do (t, ty) <- tcRho ge scope t (Just ty)
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(ts,ty) <- go ts ty
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return (t:ts,ty)
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(ts,ty) <- go ts ty
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return (FV (t:ts), ty)
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tcRho gr scope t@(Sort s) mb_ty = do
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instSigma gr scope t (eval gr [] typeType) mb_ty
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tcRho gr scope t@(RecType rs) mb_ty = do
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mapM_ (\(l,ty) -> tcRho gr scope ty (Just (eval gr [] typeType))) rs
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instSigma gr scope t (eval gr [] typeType) mb_ty
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tcRho gr scope t@(Table p res) mb_ty = do
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(p, p_ty) <- tcRho gr scope p (Just (eval gr [] typePType))
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(res,res_ty) <- tcRho gr scope res Nothing
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subsCheckRho gr scope t res_ty (eval gr [] typeType)
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instSigma gr scope (Table p res) res_ty mb_ty
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tcRho gr scope (Prod bt x ty1 ty2) mb_ty = do
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(ty1,ty1_ty) <- tcRho gr scope ty1 (Just (eval gr [] typeType))
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(ty2,ty2_ty) <- tcRho gr ((x,eval gr (scopeEnv scope) ty1):scope) ty2 (Just (eval gr [] typeType))
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instSigma gr scope (Prod bt x ty1 ty2) (eval gr [] typeType) mb_ty
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tcRho gr scope (S t p) mb_ty = do
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p_ty <- fmap Meta $ newMeta (eval gr [] typePType)
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res_ty <- fmap Meta $ newMeta (eval gr [] typeType)
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let t_ty = eval gr (scopeEnv scope) (Table p_ty res_ty)
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(t,t_ty) <- tcRho gr scope t (Just t_ty)
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p <- checkSigma gr scope p (eval gr (scopeEnv scope) p_ty)
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instSigma gr scope (S t p) (eval gr (scopeEnv scope) res_ty) mb_ty
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tcRho gr scope (T tt ps) mb_ty = do
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tcRho ge scope t@(Sort s) mb_ty = do
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instSigma ge scope t vtypeType mb_ty
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tcRho ge scope t@(RecType rs) mb_ty = do
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mapM_ (\(l,ty) -> tcRho ge scope ty (Just vtypeType)) rs
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instSigma ge scope t vtypeType mb_ty
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tcRho ge scope t@(Table p res) mb_ty = do
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(p, p_ty) <- tcRho ge scope p (Just vtypePType)
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(res,res_ty) <- tcRho ge scope res Nothing
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let GE _ _ _ loc = ge
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subsCheckRho loc scope t res_ty vtypeType
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instSigma ge scope (Table p res) res_ty mb_ty
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tcRho ge scope (Prod bt x ty1 ty2) mb_ty = do
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(ty1,ty1_ty) <- tcRho ge scope ty1 (Just vtypeType)
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ov_ty1 <- runErr (value (toplevel ge) ty1)
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let vty1 = ov_ty1 (scopeStack scope)
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(ty2,ty2_ty) <- tcRho ge ((x,vty1):scope) ty2 (Just vtypeType)
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instSigma ge scope (Prod bt x ty1 ty2) vtypeType mb_ty
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tcRho ge scope (S t p) mb_ty = do
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p_ty <- fmap (\i -> VMeta i (scopeEnv scope) []) $ newMeta vtypePType
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res_ty <- fmap (\i -> VMeta i (scopeEnv scope) []) $ newMeta vtypeType
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let t_ty = VTblType p_ty res_ty
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(t,t_ty) <- tcRho ge scope t (Just t_ty)
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p <- checkSigma ge scope p p_ty
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instSigma ge scope (S t p) res_ty mb_ty
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tcRho ge scope (T tt ps) mb_ty = do
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p_ty <- case tt of
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TRaw -> fmap Meta $ newMeta (eval gr [] typePType)
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TTyped ty -> do (ty, _) <- tcRho gr scope ty (Just (eval gr [] typeType))
|
|
|
|
|
return ty
|
|
|
|
|
res_ty <- fmap Meta $ newMeta (eval gr [] typeType)
|
|
|
|
|
ps <- mapM (tcCase gr scope (eval gr (scopeEnv scope) p_ty) (eval gr (scopeEnv scope) res_ty)) ps
|
|
|
|
|
instSigma gr scope (T (TTyped p_ty) ps) (eval gr (scopeEnv scope) (Table p_ty res_ty)) mb_ty
|
|
|
|
|
tcRho gr scope t@(R rs) mb_ty = do
|
|
|
|
|
TRaw -> fmap (\i -> VMeta i (scopeEnv scope) []) $ newMeta vtypePType
|
|
|
|
|
TTyped ty -> do (ty, _) <- tcRho ge scope ty (Just vtypeType)
|
|
|
|
|
ov_arg <- runErr (value (toplevel ge) ty)
|
|
|
|
|
return (ov_arg (scopeStack scope))
|
|
|
|
|
res_ty <- fmap (\i -> VMeta i (scopeEnv scope) []) $ newMeta vtypeType
|
|
|
|
|
ps <- mapM (tcCase ge scope p_ty res_ty) ps
|
|
|
|
|
let GE _ _ _ loc = ge
|
|
|
|
|
instSigma ge scope (T (TTyped (value2term loc [] p_ty)) ps) (VTblType p_ty res_ty) mb_ty
|
|
|
|
|
tcRho ge scope t@(R rs) mb_ty = do
|
|
|
|
|
let GE _ _ _ loc = ge
|
|
|
|
|
lttys <- case mb_ty of
|
|
|
|
|
Nothing -> inferRecFields gr scope rs
|
|
|
|
|
Nothing -> inferRecFields ge scope rs
|
|
|
|
|
Just ty -> case ty of
|
|
|
|
|
VRecType ltys -> checkRecFields gr scope rs ltys
|
|
|
|
|
VMeta _ _ _ -> inferRecFields gr scope rs
|
|
|
|
|
VRecType ltys -> checkRecFields ge scope rs ltys
|
|
|
|
|
VMeta _ _ _ -> inferRecFields ge scope rs
|
|
|
|
|
_ -> tcError ("Record type is inferred but:" $$
|
|
|
|
|
nest 2 (ppTerm Unqualified 0 (value2term gr (scopeVars scope) ty)) $$
|
|
|
|
|
nest 2 (ppTerm Unqualified 0 (value2term loc (scopeVars scope) ty)) $$
|
|
|
|
|
"is expected in the expresion:" $$
|
|
|
|
|
nest 2 (ppTerm Unqualified 0 t))
|
|
|
|
|
return (R [(l, (Just (value2term gr (scopeVars scope) ty), t)) | (l,t,ty) <- lttys],
|
|
|
|
|
VRecType [(l, ty) | (l,t,ty) <- lttys]
|
|
|
|
|
return (R [(l, (Just (value2term loc (scopeVars scope) ty), t)) | (l,t,ty) <- lttys],
|
|
|
|
|
VRecType [(l, ty) | (l,t,ty) <- lttys]
|
|
|
|
|
)
|
|
|
|
|
tcRho gr scope (P t l) mb_ty = do
|
|
|
|
|
tcRho ge scope (P t l) mb_ty = do
|
|
|
|
|
x_ty <- case mb_ty of
|
|
|
|
|
Just ty -> return ty
|
|
|
|
|
Nothing -> do i <- newMeta (eval gr [] typeType)
|
|
|
|
|
Nothing -> do i <- newMeta vtypeType
|
|
|
|
|
return (VMeta i (scopeEnv scope) [])
|
|
|
|
|
(t,t_ty) <- tcRho gr scope t (Just (VRecType [(l,x_ty)]))
|
|
|
|
|
(t,t_ty) <- tcRho ge scope t (Just (VRecType [(l,x_ty)]))
|
|
|
|
|
return (P t l,x_ty)
|
|
|
|
|
tcRho gr scope (C t1 t2) mb_ty = do
|
|
|
|
|
(t1,t1_ty) <- tcRho gr scope t1 (Just (eval gr [] typeStr))
|
|
|
|
|
(t2,t2_ty) <- tcRho gr scope t2 (Just (eval gr [] typeStr))
|
|
|
|
|
instSigma gr scope (C t1 t2) (eval gr [] typeStr) mb_ty
|
|
|
|
|
tcRho gr scope (Glue t1 t2) mb_ty = do
|
|
|
|
|
(t1,t1_ty) <- tcRho gr scope t1 (Just (eval gr [] typeStr))
|
|
|
|
|
(t2,t2_ty) <- tcRho gr scope t2 (Just (eval gr [] typeStr))
|
|
|
|
|
instSigma gr scope (Glue t1 t2) (eval gr [] typeStr) mb_ty
|
|
|
|
|
tcRho gr scope t@(ExtR t1 t2) mb_ty = do
|
|
|
|
|
(t1,t1_ty) <- tcRho gr scope t1 Nothing
|
|
|
|
|
(t2,t2_ty) <- tcRho gr scope t2 Nothing
|
|
|
|
|
tcRho ge scope (C t1 t2) mb_ty = do
|
|
|
|
|
(t1,t1_ty) <- tcRho ge scope t1 (Just vtypeStr)
|
|
|
|
|
(t2,t2_ty) <- tcRho ge scope t2 (Just vtypeStr)
|
|
|
|
|
instSigma ge scope (C t1 t2) vtypeStr mb_ty
|
|
|
|
|
tcRho ge scope (Glue t1 t2) mb_ty = do
|
|
|
|
|
(t1,t1_ty) <- tcRho ge scope t1 (Just vtypeStr)
|
|
|
|
|
(t2,t2_ty) <- tcRho ge scope t2 (Just vtypeStr)
|
|
|
|
|
instSigma ge scope (Glue t1 t2) vtypeStr mb_ty
|
|
|
|
|
tcRho ge scope t@(ExtR t1 t2) mb_ty = do
|
|
|
|
|
(t1,t1_ty) <- tcRho ge scope t1 Nothing
|
|
|
|
|
(t2,t2_ty) <- tcRho ge scope t2 Nothing
|
|
|
|
|
case (t1_ty,t2_ty) of
|
|
|
|
|
(VSort s1,VSort s2)
|
|
|
|
|
| s1 == cType && s2 == cType -> instSigma gr scope (ExtR t1 t2) (VSort cType) mb_ty
|
|
|
|
|
| s1 == cType && s2 == cType -> instSigma ge scope (ExtR t1 t2) (VSort cType) mb_ty
|
|
|
|
|
(VRecType rs1, VRecType rs2)
|
|
|
|
|
| otherwise -> do tcWarn (pp "bbbb")
|
|
|
|
|
instSigma gr scope (ExtR t1 t2) (VRecType (rs1 ++ rs2)) mb_ty
|
|
|
|
|
instSigma ge scope (ExtR t1 t2) (VRecType (rs1 ++ rs2)) mb_ty
|
|
|
|
|
_ -> tcError ("Cannot type check" <+> ppTerm Unqualified 0 t)
|
|
|
|
|
tcRho gr scope (ELin cat t) mb_ty = do -- this could be done earlier, i.e. in the parser
|
|
|
|
|
tcRho gr scope (ExtR t (R [(lockLabel cat,(Just (RecType []),R []))])) mb_ty
|
|
|
|
|
tcRho gr scope (ELincat cat t) mb_ty = do -- this could be done earlier, i.e. in the parser
|
|
|
|
|
tcRho gr scope (ExtR t (RecType [(lockLabel cat,RecType [])])) mb_ty
|
|
|
|
|
tcRho gr scope (Alts t ss) mb_ty = do
|
|
|
|
|
(t,_) <- tcRho gr scope t (Just (eval gr [] typeStr))
|
|
|
|
|
tcRho ge scope (ELin cat t) mb_ty = do -- this could be done earlier, i.e. in the parser
|
|
|
|
|
tcRho ge scope (ExtR t (R [(lockLabel cat,(Just (RecType []),R []))])) mb_ty
|
|
|
|
|
tcRho ge scope (ELincat cat t) mb_ty = do -- this could be done earlier, i.e. in the parser
|
|
|
|
|
tcRho ge scope (ExtR t (RecType [(lockLabel cat,RecType [])])) mb_ty
|
|
|
|
|
tcRho ge scope (Alts t ss) mb_ty = do
|
|
|
|
|
(t,_) <- tcRho ge scope t (Just vtypeStr)
|
|
|
|
|
ss <- flip mapM ss $ \(t1,t2) -> do
|
|
|
|
|
(t1,_) <- tcRho gr scope t1 (Just (eval gr [] typeStr))
|
|
|
|
|
(t2,_) <- tcRho gr scope t2 (Just (eval gr [] typeStrs))
|
|
|
|
|
(t1,_) <- tcRho ge scope t1 (Just vtypeStr)
|
|
|
|
|
(t2,_) <- tcRho ge scope t2 (Just vtypeStrs)
|
|
|
|
|
return (t1,t2)
|
|
|
|
|
instSigma gr scope (Alts t ss) (eval gr [] typeStr) mb_ty
|
|
|
|
|
tcRho gr scope (Strs ss) mb_ty = do
|
|
|
|
|
instSigma ge scope (Alts t ss) vtypeStr mb_ty
|
|
|
|
|
tcRho ge scope (Strs ss) mb_ty = do
|
|
|
|
|
ss <- flip mapM ss $ \t -> do
|
|
|
|
|
(t,_) <- tcRho gr scope t (Just (eval gr [] typeStr))
|
|
|
|
|
(t,_) <- tcRho ge scope t (Just vtypeStr)
|
|
|
|
|
return t
|
|
|
|
|
instSigma gr scope (Strs ss) (eval gr [] typeStrs) mb_ty
|
|
|
|
|
instSigma ge scope (Strs ss) vtypeStrs mb_ty
|
|
|
|
|
tcRho gr scope t _ = error ("tcRho "++show t)
|
|
|
|
|
|
|
|
|
|
tcCase gr scope p_ty res_ty (p,t) = do
|
|
|
|
|
scope <- tcPatt gr scope p p_ty
|
|
|
|
|
(t,res_ty) <- tcRho gr scope t (Just res_ty)
|
|
|
|
|
tcCase ge scope p_ty res_ty (p,t) = do
|
|
|
|
|
scope <- tcPatt ge scope p p_ty
|
|
|
|
|
(t,res_ty) <- tcRho ge scope t (Just res_ty)
|
|
|
|
|
return (p,t)
|
|
|
|
|
|
|
|
|
|
tcPatt gr scope PW ty0 =
|
|
|
|
|
tcPatt ge scope PW ty0 =
|
|
|
|
|
return scope
|
|
|
|
|
tcPatt gr scope (PV x) ty0 =
|
|
|
|
|
tcPatt ge scope (PV x) ty0 =
|
|
|
|
|
return ((x,ty0):scope)
|
|
|
|
|
tcPatt gr scope (PP c ps) ty0 =
|
|
|
|
|
case lookupResType gr c of
|
|
|
|
|
Ok ty -> do let go scope ty [] = return (scope,ty)
|
|
|
|
|
go scope ty (p:ps) = do (arg_ty,res_ty) <- unifyFun gr scope (VGen (length scope) []) ty
|
|
|
|
|
scope <- tcPatt gr scope p arg_ty
|
|
|
|
|
go scope res_ty ps
|
|
|
|
|
(scope,ty) <- go scope (eval gr [] ty) ps
|
|
|
|
|
unify gr scope ty0 ty
|
|
|
|
|
return scope
|
|
|
|
|
Bad err -> tcError (pp err)
|
|
|
|
|
tcPatt gr scope (PString s) ty0 = do
|
|
|
|
|
unify gr scope ty0 (eval gr [] typeStr)
|
|
|
|
|
tcPatt ge scope (PP c ps) ty0 =
|
|
|
|
|
let GE gr _ _ loc = ge
|
|
|
|
|
in case lookupResType gr c of
|
|
|
|
|
Ok ty -> do let go scope ty [] = return (scope,ty)
|
|
|
|
|
go scope ty (p:ps) = do (arg_ty,res_ty) <- unifyFun loc scope (VGen (length scope) []) ty
|
|
|
|
|
scope <- tcPatt ge scope p arg_ty
|
|
|
|
|
go scope res_ty ps
|
|
|
|
|
vty <- runErr (eval ge ty)
|
|
|
|
|
(scope,ty) <- go scope vty ps
|
|
|
|
|
unify loc scope ty0 ty
|
|
|
|
|
return scope
|
|
|
|
|
Bad err -> tcError (pp err)
|
|
|
|
|
tcPatt ge scope (PString s) ty0 = do
|
|
|
|
|
let GE _ _ _ loc = ge
|
|
|
|
|
unify loc scope ty0 vtypeStr
|
|
|
|
|
return scope
|
|
|
|
|
tcPatt gr scope PChar ty0 = do
|
|
|
|
|
unify gr scope ty0 (eval gr [] typeStr)
|
|
|
|
|
tcPatt ge scope PChar ty0 = do
|
|
|
|
|
let GE _ _ _ loc = ge
|
|
|
|
|
unify loc scope ty0 vtypeStr
|
|
|
|
|
return scope
|
|
|
|
|
tcPatt gr scope (PSeq p1 p2) ty0 = do
|
|
|
|
|
unify gr scope ty0 (eval gr [] typeStr)
|
|
|
|
|
scope <- tcPatt gr scope p1 (eval gr [] typeStr)
|
|
|
|
|
scope <- tcPatt gr scope p2 (eval gr [] typeStr)
|
|
|
|
|
tcPatt ge scope (PSeq p1 p2) ty0 = do
|
|
|
|
|
let GE _ _ _ loc = ge
|
|
|
|
|
unify loc scope ty0 vtypeStr
|
|
|
|
|
scope <- tcPatt ge scope p1 vtypeStr
|
|
|
|
|
scope <- tcPatt ge scope p2 vtypeStr
|
|
|
|
|
return scope
|
|
|
|
|
tcPatt gr scope (PAs x p) ty0 = do
|
|
|
|
|
tcPatt gr ((x,ty0):scope) p ty0
|
|
|
|
|
tcPatt gr scope (PR rs) ty0 = do
|
|
|
|
|
tcPatt ge scope (PAs x p) ty0 = do
|
|
|
|
|
tcPatt ge ((x,ty0):scope) p ty0
|
|
|
|
|
tcPatt ge scope (PR rs) ty0 = do
|
|
|
|
|
let go scope [] = return (scope,[])
|
|
|
|
|
go scope ((l,p):rs) = do i <- newMeta (eval gr [] typePType)
|
|
|
|
|
go scope ((l,p):rs) = do i <- newMeta vtypePType
|
|
|
|
|
let ty = VMeta i (scopeEnv scope) []
|
|
|
|
|
scope <- tcPatt gr scope p ty
|
|
|
|
|
scope <- tcPatt ge scope p ty
|
|
|
|
|
(scope,rs) <- go scope rs
|
|
|
|
|
return (scope,(l,ty) : rs)
|
|
|
|
|
(scope',rs) <- go scope rs
|
|
|
|
|
unify gr scope ty0 (VRecType rs)
|
|
|
|
|
let GE _ _ _ loc = ge
|
|
|
|
|
unify loc scope ty0 (VRecType rs)
|
|
|
|
|
return scope'
|
|
|
|
|
tcPatt gr scope (PAlt p1 p2) ty0 = do
|
|
|
|
|
tcPatt gr scope p1 ty0
|
|
|
|
|
tcPatt gr scope p2 ty0
|
|
|
|
|
return scope
|
|
|
|
|
tcPatt gr scope p ty = unimplemented ("tcPatt "++show p)
|
|
|
|
|
tcPatt ge scope p ty = unimplemented ("tcPatt "++show p)
|
|
|
|
|
|
|
|
|
|
inferRecFields ge scope rs =
|
|
|
|
|
mapM (\(l,r) -> tcRecField ge scope l r Nothing) rs
|
|
|
|
|
|
|
|
|
|
inferRecFields gr scope rs =
|
|
|
|
|
mapM (\(l,r) -> tcRecField gr scope l r Nothing) rs
|
|
|
|
|
|
|
|
|
|
checkRecFields gr scope [] ltys
|
|
|
|
|
checkRecFields ge scope [] ltys
|
|
|
|
|
| null ltys = return []
|
|
|
|
|
| otherwise = tcError ("Missing fields:" <+> hsep (map fst ltys))
|
|
|
|
|
checkRecFields gr scope ((l,t):lts) ltys =
|
|
|
|
|
checkRecFields ge scope ((l,t):lts) ltys =
|
|
|
|
|
case takeIt l ltys of
|
|
|
|
|
(Just ty,ltys) -> do ltty <- tcRecField gr scope l t (Just ty)
|
|
|
|
|
lttys <- checkRecFields gr scope lts ltys
|
|
|
|
|
(Just ty,ltys) -> do ltty <- tcRecField ge scope l t (Just ty)
|
|
|
|
|
lttys <- checkRecFields ge scope lts ltys
|
|
|
|
|
return (ltty : lttys)
|
|
|
|
|
(Nothing,ltys) -> do tcWarn ("Discarded field:" <+> l)
|
|
|
|
|
ltty <- tcRecField gr scope l t Nothing
|
|
|
|
|
lttys <- checkRecFields gr scope lts ltys
|
|
|
|
|
ltty <- tcRecField ge scope l t Nothing
|
|
|
|
|
lttys <- checkRecFields ge scope lts ltys
|
|
|
|
|
return lttys -- ignore the field
|
|
|
|
|
where
|
|
|
|
|
takeIt l1 [] = (Nothing, [])
|
|
|
|
|
@@ -271,63 +299,64 @@ checkRecFields gr scope ((l,t):lts) ltys =
|
|
|
|
|
| otherwise = let (mb_ty,ltys') = takeIt l1 ltys
|
|
|
|
|
in (mb_ty,lty:ltys')
|
|
|
|
|
|
|
|
|
|
tcRecField gr scope l (mb_ann_ty,t) mb_ty = do
|
|
|
|
|
tcRecField ge scope l (mb_ann_ty,t) mb_ty = do
|
|
|
|
|
(t,ty) <- case mb_ann_ty of
|
|
|
|
|
Just ann_ty -> do (ann_ty, _) <- tcRho gr scope ann_ty (Just (eval gr [] typeType))
|
|
|
|
|
let v_ann_ty = eval gr (scopeEnv scope) ann_ty
|
|
|
|
|
t <- checkSigma gr scope t v_ann_ty
|
|
|
|
|
instSigma gr scope t v_ann_ty mb_ty
|
|
|
|
|
Nothing -> tcRho gr scope t mb_ty
|
|
|
|
|
Just ann_ty -> do (ann_ty, _) <- tcRho ge scope ann_ty (Just vtypeType)
|
|
|
|
|
ov_ann_ty <- runErr (value (toplevel ge) ann_ty)
|
|
|
|
|
let v_ann_ty = ov_ann_ty (scopeStack scope)
|
|
|
|
|
t <- checkSigma ge scope t v_ann_ty
|
|
|
|
|
instSigma ge scope t v_ann_ty mb_ty
|
|
|
|
|
Nothing -> tcRho ge scope t mb_ty
|
|
|
|
|
return (l,t,ty)
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
-- | Invariant: if the third argument is (Just rho),
|
|
|
|
|
-- then rho is in weak-prenex form
|
|
|
|
|
instSigma :: SourceGrammar -> Scope -> Term -> Sigma -> Maybe Rho -> TcM (Term, Rho)
|
|
|
|
|
instSigma gr scope t ty1 Nothing = instantiate gr t ty1 -- INST1
|
|
|
|
|
instSigma gr scope t ty1 (Just ty2) = do -- INST2
|
|
|
|
|
t <- subsCheckRho gr scope t ty1 ty2
|
|
|
|
|
instSigma :: GlobalEnv -> Scope -> Term -> Sigma -> Maybe Rho -> TcM (Term, Rho)
|
|
|
|
|
instSigma ge scope t ty1 Nothing = instantiate t ty1 -- INST1
|
|
|
|
|
instSigma ge scope t ty1 (Just ty2) = do -- INST2
|
|
|
|
|
let GE _ _ _ loc = ge
|
|
|
|
|
t <- subsCheckRho loc scope t ty1 ty2
|
|
|
|
|
return (t,ty2)
|
|
|
|
|
|
|
|
|
|
-- | (subsCheck scope args off exp) checks that
|
|
|
|
|
-- 'off' is at least as polymorphic as 'args -> exp'
|
|
|
|
|
subsCheck :: SourceGrammar -> Scope -> Term -> Sigma -> Sigma -> TcM Term
|
|
|
|
|
subsCheck gr scope t sigma1 sigma2 = do -- DEEP-SKOL
|
|
|
|
|
(abs, scope, t, rho2) <- skolemise id gr scope t sigma2
|
|
|
|
|
subsCheck :: GLocation -> Scope -> Term -> Sigma -> Sigma -> TcM Term
|
|
|
|
|
subsCheck loc scope t sigma1 sigma2 = do -- DEEP-SKOL
|
|
|
|
|
(abs, scope, t, rho2) <- skolemise id scope t sigma2
|
|
|
|
|
let skol_tvs = []
|
|
|
|
|
t <- subsCheckRho gr scope t sigma1 rho2
|
|
|
|
|
esc_tvs <- getFreeVars gr [(scope,sigma1),(scope,sigma2)]
|
|
|
|
|
t <- subsCheckRho loc scope t sigma1 rho2
|
|
|
|
|
esc_tvs <- getFreeVars loc [(scope,sigma1),(scope,sigma2)]
|
|
|
|
|
let bad_tvs = filter (`elem` esc_tvs) skol_tvs
|
|
|
|
|
if null bad_tvs
|
|
|
|
|
then return (abs t)
|
|
|
|
|
else tcError (vcat [pp "Subsumption check failed:",
|
|
|
|
|
nest 2 (ppTerm Unqualified 0 (value2term gr (scopeVars scope) sigma1)),
|
|
|
|
|
nest 2 (ppTerm Unqualified 0 (value2term loc (scopeVars scope) sigma1)),
|
|
|
|
|
pp "is not as polymorphic as",
|
|
|
|
|
nest 2 (ppTerm Unqualified 0 (value2term gr (scopeVars scope) sigma2))])
|
|
|
|
|
|
|
|
|
|
nest 2 (ppTerm Unqualified 0 (value2term loc (scopeVars scope) sigma2))])
|
|
|
|
|
|
|
|
|
|
-- | Invariant: the second argument is in weak-prenex form
|
|
|
|
|
subsCheckRho :: SourceGrammar -> Scope -> Term -> Sigma -> Rho -> TcM Term
|
|
|
|
|
subsCheckRho gr scope t sigma1@(VClosure env (Prod Implicit _ _ _)) rho2 = do -- Rule SPEC
|
|
|
|
|
(t,rho1) <- instantiate gr t sigma1
|
|
|
|
|
subsCheckRho gr scope t rho1 rho2
|
|
|
|
|
subsCheckRho gr scope t rho1 (VClosure env (Prod Explicit _ a2 r2)) = do -- Rule FUN
|
|
|
|
|
(a1,r1) <- unifyFun gr scope (VGen (length scope) []) rho1
|
|
|
|
|
subsCheckFun gr scope t a1 r1 (eval gr env a2) (eval gr env r2)
|
|
|
|
|
subsCheckRho gr scope t (VClosure env (Prod Explicit _ a1 r1)) rho2 = do -- Rule FUN
|
|
|
|
|
(a2,r2) <- unifyFun gr scope (VGen (length scope) []) rho2
|
|
|
|
|
subsCheckFun gr scope t (eval gr env a1) (eval gr env r1) a2 r2
|
|
|
|
|
subsCheckRho gr scope t (VSort s1) (VSort s2)
|
|
|
|
|
subsCheckRho :: GLocation -> Scope -> Term -> Sigma -> Rho -> TcM Term
|
|
|
|
|
subsCheckRho loc scope t sigma1@(VProd Implicit _ _ _) rho2 = do -- Rule SPEC
|
|
|
|
|
(t,rho1) <- instantiate t sigma1
|
|
|
|
|
subsCheckRho loc scope t rho1 rho2
|
|
|
|
|
subsCheckRho loc scope t rho1 (VProd Explicit a2 _ (Bind r2)) = do -- Rule FUN
|
|
|
|
|
(a1,r1) <- unifyFun loc scope (VGen (length scope) []) rho1
|
|
|
|
|
subsCheckFun loc scope t a1 r1 a2 (r2 (VGen (length scope) []))
|
|
|
|
|
subsCheckRho loc scope t (VProd Explicit a1 _ (Bind r1)) rho2 = do -- Rule FUN
|
|
|
|
|
(a2,r2) <- unifyFun loc scope (VGen (length scope) []) rho2
|
|
|
|
|
subsCheckFun loc scope t a1 (r1 (VGen (length scope) [])) a2 r2
|
|
|
|
|
subsCheckRho loc scope t (VSort s1) (VSort s2)
|
|
|
|
|
| s1 == cPType && s2 == cType = return t
|
|
|
|
|
subsCheckRho gr scope t tau1 tau2 = do -- Rule MONO
|
|
|
|
|
unify gr scope tau1 tau2 -- Revert to ordinary unification
|
|
|
|
|
subsCheckRho loc scope t tau1 tau2 = do -- Rule MONO
|
|
|
|
|
unify loc scope tau1 tau2 -- Revert to ordinary unification
|
|
|
|
|
return t
|
|
|
|
|
|
|
|
|
|
subsCheckFun :: SourceGrammar -> Scope -> Term -> Sigma -> Rho -> Sigma -> Rho -> TcM Term
|
|
|
|
|
subsCheckFun gr scope t a1 r1 a2 r2 = do
|
|
|
|
|
subsCheckFun :: GLocation -> Scope -> Term -> Sigma -> Rho -> Sigma -> Rho -> TcM Term
|
|
|
|
|
subsCheckFun loc scope t a1 r1 a2 r2 = do
|
|
|
|
|
let v = newVar scope
|
|
|
|
|
vt <- subsCheck gr scope (Vr v) a2 a1
|
|
|
|
|
t <- subsCheckRho gr ((v,eval gr [] typeType):scope) (App t vt) r1 r2 ;
|
|
|
|
|
vt <- subsCheck loc scope (Vr v) a2 a1
|
|
|
|
|
t <- subsCheckRho loc ((v,vtypeType):scope) (App t vt) r1 r2 ;
|
|
|
|
|
return (Abs Explicit v t)
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
@@ -335,102 +364,97 @@ subsCheckFun gr scope t a1 r1 a2 r2 = do
|
|
|
|
|
-- Unification
|
|
|
|
|
-----------------------------------------------------------------------
|
|
|
|
|
|
|
|
|
|
unifyFun :: SourceGrammar -> Scope -> Value -> Rho -> TcM (Sigma, Rho)
|
|
|
|
|
unifyFun gr scope arg_v (VClosure env (Prod Explicit x arg res))
|
|
|
|
|
| x /= identW = return (eval gr env arg,eval gr ((x,arg_v):env) res)
|
|
|
|
|
| otherwise = return (eval gr env arg,eval gr env res)
|
|
|
|
|
unifyFun gr scope arg_v tau = do
|
|
|
|
|
arg_ty <- newMeta (eval gr [] typeType)
|
|
|
|
|
res_ty <- newMeta (eval gr [] typeType)
|
|
|
|
|
unify gr scope tau (VClosure [] (Prod Explicit identW (Meta arg_ty) (Meta res_ty)))
|
|
|
|
|
unifyFun :: GLocation -> Scope -> Value -> Rho -> TcM (Sigma, Rho)
|
|
|
|
|
unifyFun loc scope arg_v (VProd Explicit arg x (Bind res)) =
|
|
|
|
|
return (arg,res arg_v)
|
|
|
|
|
unifyFun loc scope arg_v tau = do
|
|
|
|
|
arg_ty <- newMeta vtypeType
|
|
|
|
|
res_ty <- newMeta vtypeType
|
|
|
|
|
unify loc scope tau (VProd Explicit (VMeta arg_ty [] []) identW (Bind (const (VMeta arg_ty [] []))))
|
|
|
|
|
return (VMeta arg_ty [] [], VMeta res_ty [] [])
|
|
|
|
|
|
|
|
|
|
unify gr scope (VApp f1 vs1) (VApp f2 vs2)
|
|
|
|
|
| f1 == f2 = sequence_ (zipWith (unify gr scope) vs1 vs2)
|
|
|
|
|
unify gr scope (VSort s1) (VSort s2)
|
|
|
|
|
unify loc scope (VApp f1 vs1) (VApp f2 vs2)
|
|
|
|
|
| f1 == f2 = sequence_ (zipWith (unify loc scope) vs1 vs2)
|
|
|
|
|
unify loc scope (VSort s1) (VSort s2)
|
|
|
|
|
| s1 == s2 = return ()
|
|
|
|
|
unify gr scope (VGen i vs1) (VGen j vs2)
|
|
|
|
|
| i == j = sequence_ (zipWith (unify gr scope) vs1 vs2)
|
|
|
|
|
unify gr scope (VMeta i env1 vs1) (VMeta j env2 vs2)
|
|
|
|
|
| i == j = sequence_ (zipWith (unify gr scope) vs1 vs2)
|
|
|
|
|
unify loc scope (VGen i vs1) (VGen j vs2)
|
|
|
|
|
| i == j = sequence_ (zipWith (unify loc scope) vs1 vs2)
|
|
|
|
|
unify loc scope (VMeta i env1 vs1) (VMeta j env2 vs2)
|
|
|
|
|
| i == j = sequence_ (zipWith (unify loc scope) vs1 vs2)
|
|
|
|
|
| otherwise = do mv <- getMeta j
|
|
|
|
|
case mv of
|
|
|
|
|
Bound t2 -> unify gr scope (VMeta i env1 vs1) (apply gr env2 t2 vs2)
|
|
|
|
|
--Bound t2 -> unify gr scope (VMeta i env1 vs1) (apply gr env2 t2 vs2)
|
|
|
|
|
Unbound _ -> setMeta i (Bound (Meta j))
|
|
|
|
|
unify gr scope (VMeta i env vs) v = unifyVar gr scope i env vs v
|
|
|
|
|
unify gr scope v (VMeta i env vs) = unifyVar gr scope i env vs v
|
|
|
|
|
unify gr scope (VTblType p1 res1) (VTblType p2 res2) = do
|
|
|
|
|
unify gr scope p1 p2
|
|
|
|
|
unify gr scope res1 res2
|
|
|
|
|
unify gr scope (VRecType rs1) (VRecType rs2) = do
|
|
|
|
|
sequence_ [unify gr scope ty1 ty2 | (l,ty1) <- rs1, Just ty2 <- [lookup l rs2]]
|
|
|
|
|
unify gr scope v1 v2 = do
|
|
|
|
|
t1 <- zonkTerm (value2term gr (scopeVars scope) v1)
|
|
|
|
|
t2 <- zonkTerm (value2term gr (scopeVars scope) v2)
|
|
|
|
|
unify loc scope (VMeta i env vs) v = unifyVar loc scope i env vs v
|
|
|
|
|
unify loc scope v (VMeta i env vs) = unifyVar loc scope i env vs v
|
|
|
|
|
unify loc scope (VTblType p1 res1) (VTblType p2 res2) = do
|
|
|
|
|
unify loc scope p1 p2
|
|
|
|
|
unify loc scope res1 res2
|
|
|
|
|
unify loc scope (VRecType rs1) (VRecType rs2) = do
|
|
|
|
|
sequence_ [unify loc scope ty1 ty2 | (l,ty1) <- rs1, Just ty2 <- [lookup l rs2]]
|
|
|
|
|
unify loc scope v1 v2 = do
|
|
|
|
|
t1 <- zonkTerm (value2term loc (scopeVars scope) v1)
|
|
|
|
|
t2 <- zonkTerm (value2term loc (scopeVars scope) v2)
|
|
|
|
|
tcError ("Cannot unify types:" <+> (ppTerm Unqualified 0 t1 $$
|
|
|
|
|
ppTerm Unqualified 0 t2))
|
|
|
|
|
|
|
|
|
|
-- | Invariant: tv1 is a flexible type variable
|
|
|
|
|
unifyVar :: SourceGrammar -> Scope -> MetaId -> Env -> [Value] -> Tau -> TcM ()
|
|
|
|
|
unifyVar gr scope i env vs ty2 = do -- Check whether i is bound
|
|
|
|
|
unifyVar :: GLocation -> Scope -> MetaId -> Env -> [Value] -> Tau -> TcM ()
|
|
|
|
|
unifyVar loc scope i env vs ty2 = do -- Check whether i is bound
|
|
|
|
|
mv <- getMeta i
|
|
|
|
|
case mv of
|
|
|
|
|
Bound ty1 -> unify gr scope (apply gr env ty1 vs) ty2
|
|
|
|
|
Unbound _ -> do let ty2' = value2term gr (scopeVars scope) ty2
|
|
|
|
|
ms2 <- getMetaVars gr [(scope,ty2)]
|
|
|
|
|
-- Bound ty1 -> unify gr scope (apply gr env ty1 vs) ty2
|
|
|
|
|
Unbound _ -> do let ty2' = value2term loc (scopeVars scope) ty2
|
|
|
|
|
ms2 <- getMetaVars loc [(scope,ty2)]
|
|
|
|
|
if i `elem` ms2
|
|
|
|
|
then tcError ("Occurs check for" <+> ppMeta i <+> "in:" $$
|
|
|
|
|
nest 2 (ppTerm Unqualified 0 ty2'))
|
|
|
|
|
else setMeta i (Bound ty2')
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
-----------------------------------------------------------------------
|
|
|
|
|
-- Instantiation and quantification
|
|
|
|
|
-----------------------------------------------------------------------
|
|
|
|
|
|
|
|
|
|
-- | Instantiate the topmost for-alls of the argument type
|
|
|
|
|
-- with metavariables
|
|
|
|
|
instantiate :: SourceGrammar -> Term -> Sigma -> TcM (Term,Rho)
|
|
|
|
|
instantiate gr t (VClosure env (Prod Implicit x ty1 ty2)) = do
|
|
|
|
|
i <- newMeta (eval gr env ty1)
|
|
|
|
|
instantiate gr (App t (ImplArg (Meta i))) (eval gr ((x,VMeta i [] []):env) ty2)
|
|
|
|
|
instantiate gr t ty = do
|
|
|
|
|
instantiate :: Term -> Sigma -> TcM (Term,Rho)
|
|
|
|
|
instantiate t (VProd Implicit ty1 x (Bind ty2)) = do
|
|
|
|
|
i <- newMeta ty1
|
|
|
|
|
instantiate (App t (ImplArg (Meta i))) (ty2 (VMeta i [] []))
|
|
|
|
|
instantiate t ty = do
|
|
|
|
|
return (t,ty)
|
|
|
|
|
|
|
|
|
|
skolemise f gr scope t (VClosure env (Prod Implicit x arg_ty res_ty)) -- Rule PRPOLY
|
|
|
|
|
skolemise f scope t (VProd Implicit arg_ty x (Bind res_ty)) -- Rule PRPOLY
|
|
|
|
|
| x /= identW =
|
|
|
|
|
let (y,body) = case t of
|
|
|
|
|
Abs Implicit y body -> (y, body)
|
|
|
|
|
body -> (newVar scope, body)
|
|
|
|
|
in skolemise (f . Abs Implicit y)
|
|
|
|
|
gr
|
|
|
|
|
((y,eval gr env arg_ty):scope) body
|
|
|
|
|
(eval gr ((x,VGen (length scope) []):env) res_ty)
|
|
|
|
|
skolemise f gr scope t (VClosure env (Prod Explicit x arg_ty res_ty)) -- Rule PRFUN
|
|
|
|
|
| x /= identW =
|
|
|
|
|
((y,arg_ty):scope) body
|
|
|
|
|
(res_ty (VGen (length scope) []))
|
|
|
|
|
skolemise f scope t (VProd Explicit arg_ty x (Bind res_ty)) -- Rule PRFUN
|
|
|
|
|
| x /= identW =
|
|
|
|
|
let (y,body) = case t of
|
|
|
|
|
Abs Explicit y body -> (y, body)
|
|
|
|
|
body -> let y = newVar scope
|
|
|
|
|
in (y, App body (Vr y))
|
|
|
|
|
in skolemise (f . Abs Explicit y)
|
|
|
|
|
gr
|
|
|
|
|
((y,eval gr env arg_ty):scope) body
|
|
|
|
|
(eval gr ((x,VGen (length scope) []):env) res_ty)
|
|
|
|
|
skolemise f gr scope t ty -- Rule PRMONO
|
|
|
|
|
((y,arg_ty):scope) body
|
|
|
|
|
(res_ty (VGen (length scope) []))
|
|
|
|
|
skolemise f scope t ty -- Rule PRMONO
|
|
|
|
|
= return (f, scope, t, ty)
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
-- | Quantify over the specified type variables (all flexible)
|
|
|
|
|
quantify :: SourceGrammar -> Scope -> Term -> [MetaId] -> Rho -> TcM (Term,Sigma)
|
|
|
|
|
quantify gr scope t tvs ty0 = do
|
|
|
|
|
quantify :: GlobalEnv -> Scope -> Term -> [MetaId] -> Rho -> TcM (Term,Sigma)
|
|
|
|
|
quantify ge scope t tvs ty0 = do
|
|
|
|
|
mapM_ bind (tvs `zip` new_bndrs) -- 'bind' is just a cunning way
|
|
|
|
|
ty <- zonkTerm ty -- of doing the substitution
|
|
|
|
|
return (foldr (Abs Implicit) t new_bndrs
|
|
|
|
|
,eval gr [] (foldr (\v ty -> Prod Implicit v typeType ty) ty new_bndrs)
|
|
|
|
|
)
|
|
|
|
|
vty <- runErr (eval ge (foldr (\v ty -> Prod Implicit v typeType ty) ty new_bndrs))
|
|
|
|
|
return (foldr (Abs Implicit) t new_bndrs,vty)
|
|
|
|
|
where
|
|
|
|
|
ty = value2term gr (scopeVars scope) ty0
|
|
|
|
|
|
|
|
|
|
GE _ _ _ loc = ge
|
|
|
|
|
ty = value2term loc (scopeVars scope) ty0
|
|
|
|
|
|
|
|
|
|
used_bndrs = nub (bndrs ty) -- Avoid quantified type variables in use
|
|
|
|
|
new_bndrs = take (length tvs) (allBinders \\ used_bndrs)
|
|
|
|
|
bind (i, name) = setMeta i (Bound (Vr name))
|
|
|
|
|
@@ -491,6 +515,10 @@ runTcM f = case unTcM f IntMap.empty [] of
|
|
|
|
|
TcOk x _ msgs -> do checkWarnings msgs; return x
|
|
|
|
|
TcFail (msg:msgs) -> do checkWarnings msgs; checkError msg
|
|
|
|
|
|
|
|
|
|
runErr :: Err a -> TcM a
|
|
|
|
|
runErr (Bad msg) = TcM (\ms msgs -> TcFail (pp msg:msgs))
|
|
|
|
|
runErr (Ok x) = TcM (\ms msgs -> TcOk x ms msgs)
|
|
|
|
|
|
|
|
|
|
newMeta :: Sigma -> TcM MetaId
|
|
|
|
|
newMeta ty = TcM (\ms msgs ->
|
|
|
|
|
let i = IntMap.size ms
|
|
|
|
|
@@ -514,14 +542,15 @@ newVar scope = head [x | i <- [1..],
|
|
|
|
|
isFree ((y,_):scope) x = x /= y && isFree scope x
|
|
|
|
|
|
|
|
|
|
scopeEnv scope = zipWith (\(x,ty) i -> (x,VGen i [])) (reverse scope) [0..]
|
|
|
|
|
scopeStack scope = zipWith (\(x,ty) i -> VGen i []) (reverse scope) [0..]
|
|
|
|
|
scopeVars scope = map fst scope
|
|
|
|
|
scopeTypes scope = zipWith (\(_,ty) scope -> (scope,ty)) scope (tails scope)
|
|
|
|
|
|
|
|
|
|
-- | This function takes account of zonking, and returns a set
|
|
|
|
|
-- (no duplicates) of unbound meta-type variables
|
|
|
|
|
getMetaVars :: SourceGrammar -> [(Scope,Sigma)] -> TcM [MetaId]
|
|
|
|
|
getMetaVars gr sc_tys = do
|
|
|
|
|
tys <- mapM (\(scope,ty) -> zonkTerm (value2term gr (scopeVars scope) ty)) sc_tys
|
|
|
|
|
getMetaVars :: GLocation -> [(Scope,Sigma)] -> TcM [MetaId]
|
|
|
|
|
getMetaVars loc sc_tys = do
|
|
|
|
|
tys <- mapM (\(scope,ty) -> zonkTerm (value2term loc (scopeVars scope) ty)) sc_tys
|
|
|
|
|
return (foldr go [] tys)
|
|
|
|
|
where
|
|
|
|
|
-- Get the MetaIds from a term; no duplicates in result
|
|
|
|
|
@@ -539,9 +568,9 @@ getMetaVars gr sc_tys = do
|
|
|
|
|
|
|
|
|
|
-- | This function takes account of zonking, and returns a set
|
|
|
|
|
-- (no duplicates) of free type variables
|
|
|
|
|
getFreeVars :: SourceGrammar -> [(Scope,Sigma)] -> TcM [Ident]
|
|
|
|
|
getFreeVars gr sc_tys = do
|
|
|
|
|
tys <- mapM (\(scope,ty) -> zonkTerm (value2term gr (scopeVars scope) ty)) sc_tys
|
|
|
|
|
getFreeVars :: GLocation -> [(Scope,Sigma)] -> TcM [Ident]
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getFreeVars loc sc_tys = do
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tys <- mapM (\(scope,ty) -> zonkTerm (value2term loc (scopeVars scope) ty)) sc_tys
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return (foldr (go []) [] tys)
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where
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go bound (Vr tv) acc
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@@ -566,3 +595,4 @@ zonkTerm (Meta i) = do
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return t
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zonkTerm t = composOp zonkTerm t
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