%
% (c) The University of Glasgow 2006
% (c) The GRASP/AQUA Project, Glasgow University, 1992-1998
%
Typecheck arrow notation
\begin{code}
module TcArrows ( tcProc ) where
import TcExpr( tcMonoExpr, tcInferRho, tcSyntaxOp, tcCheckId, tcPolyExpr )
import HsSyn
import TcMatches
import TcHsSyn( hsLPatType )
import TcType
import TcMType
import TcBinds
import TcPat
import TcUnify
import TcRnMonad
import TcEnv
import TcEvidence
import Id( mkLocalId )
import Inst
import Name
import Coercion ( Role(..) )
import TysWiredIn
import VarSet
import TysPrim
import BasicTypes( Arity )
import SrcLoc
import Outputable
import FastString
import Util
import Control.Monad
\end{code}
Note [Arrow overivew]
~~~~~~~~~~~~~~~~~~~~~
Here's a summary of arrows and how they typecheck. First, here's
a cut-down syntax:
expr ::= ....
| proc pat cmd
cmd ::= cmd exp -- Arrow application
| \pat -> cmd -- Arrow abstraction
| (| exp cmd1 ... cmdn |) -- Arrow form, n>=0
| ... -- If, case in the usual way
cmd_type ::= carg_type --> type
carg_type ::= ()
| (type, carg_type)
Note that
* The 'exp' in an arrow form can mention only
"arrow-local" variables
* An "arrow-local" variable is bound by an enclosing
cmd binding form (eg arrow abstraction)
* A cmd_type is here written with a funny arrow "-->",
The bit on the left is a carg_type (command argument type)
which itself is a nested tuple, finishing with ()
* The arrow-tail operator (e1 -< e2) means
(| e1 <<< arr snd |) e2
%************************************************************************
%* *
Proc
%* *
%************************************************************************
\begin{code}
tcProc :: InPat Name -> LHsCmdTop Name
-> TcRhoType
-> TcM (OutPat TcId, LHsCmdTop TcId, TcCoercion)
tcProc pat cmd exp_ty
= newArrowScope $
do { (co, (exp_ty1, res_ty)) <- matchExpectedAppTy exp_ty
; (co1, (arr_ty, arg_ty)) <- matchExpectedAppTy exp_ty1
; let cmd_env = CmdEnv { cmd_arr = arr_ty }
; (pat', cmd') <- tcPat ProcExpr pat arg_ty $
tcCmdTop cmd_env cmd (unitTy, res_ty)
; let res_co = mkTcTransCo co (mkTcAppCo co1 (mkTcNomReflCo res_ty))
; return (pat', cmd', res_co) }
\end{code}
%************************************************************************
%* *
Commands
%* *
%************************************************************************
\begin{code}
type CmdType = (CmdArgType, TcTauType)
type CmdArgType = TcTauType
data CmdEnv
= CmdEnv {
cmd_arr :: TcType
}
mkCmdArrTy :: CmdEnv -> TcTauType -> TcTauType -> TcTauType
mkCmdArrTy env t1 t2 = mkAppTys (cmd_arr env) [t1, t2]
tcCmdTop :: CmdEnv
-> LHsCmdTop Name
-> CmdType
-> TcM (LHsCmdTop TcId)
tcCmdTop env (L loc (HsCmdTop cmd _ _ names)) cmd_ty@(cmd_stk, res_ty)
= setSrcSpan loc $
do { cmd' <- tcCmd env cmd cmd_ty
; names' <- mapM (tcSyntaxName ProcOrigin (cmd_arr env)) names
; return (L loc $ HsCmdTop cmd' cmd_stk res_ty names') }
tcCmd :: CmdEnv -> LHsCmd Name -> CmdType -> TcM (LHsCmd TcId)
tcCmd env (L loc cmd) res_ty
= setSrcSpan loc $ do
{ cmd' <- tc_cmd env cmd res_ty
; return (L loc cmd') }
tc_cmd :: CmdEnv -> HsCmd Name -> CmdType -> TcM (HsCmd TcId)
tc_cmd env (HsCmdPar cmd) res_ty
= do { cmd' <- tcCmd env cmd res_ty
; return (HsCmdPar cmd') }
tc_cmd env (HsCmdLet binds (L body_loc body)) res_ty
= do { (binds', body') <- tcLocalBinds binds $
setSrcSpan body_loc $
tc_cmd env body res_ty
; return (HsCmdLet binds' (L body_loc body')) }
tc_cmd env in_cmd@(HsCmdCase scrut matches) (stk, res_ty)
= addErrCtxt (cmdCtxt in_cmd) $ do
(scrut', scrut_ty) <- tcInferRho scrut
matches' <- tcMatchesCase match_ctxt scrut_ty matches res_ty
return (HsCmdCase scrut' matches')
where
match_ctxt = MC { mc_what = CaseAlt,
mc_body = mc_body }
mc_body body res_ty' = tcCmd env body (stk, res_ty')
tc_cmd env (HsCmdIf Nothing pred b1 b2) res_ty
= do { pred' <- tcMonoExpr pred boolTy
; b1' <- tcCmd env b1 res_ty
; b2' <- tcCmd env b2 res_ty
; return (HsCmdIf Nothing pred' b1' b2')
}
tc_cmd env (HsCmdIf (Just fun) pred b1 b2) res_ty
= do { pred_ty <- newFlexiTyVarTy openTypeKind
; (_, [r_tv]) <- tcInstSkolTyVars [alphaTyVar]
; let r_ty = mkTyVarTy r_tv
; let if_ty = mkFunTys [pred_ty, r_ty, r_ty] r_ty
; checkTc (not (r_tv `elemVarSet` tyVarsOfType pred_ty))
(ptext (sLit "Predicate type of `ifThenElse' depends on result type"))
; fun' <- tcSyntaxOp IfOrigin fun if_ty
; pred' <- tcMonoExpr pred pred_ty
; b1' <- tcCmd env b1 res_ty
; b2' <- tcCmd env b2 res_ty
; return (HsCmdIf (Just fun') pred' b1' b2')
}
tc_cmd env cmd@(HsCmdArrApp fun arg _ ho_app lr) (_, res_ty)
= addErrCtxt (cmdCtxt cmd) $
do { arg_ty <- newFlexiTyVarTy openTypeKind
; let fun_ty = mkCmdArrTy env arg_ty res_ty
; fun' <- select_arrow_scope (tcMonoExpr fun fun_ty)
; arg' <- tcMonoExpr arg arg_ty
; return (HsCmdArrApp fun' arg' fun_ty ho_app lr) }
where
select_arrow_scope tc = case ho_app of
HsHigherOrderApp -> tc
HsFirstOrderApp -> escapeArrowScope tc
tc_cmd env cmd@(HsCmdApp fun arg) (cmd_stk, res_ty)
= addErrCtxt (cmdCtxt cmd) $
do { arg_ty <- newFlexiTyVarTy openTypeKind
; fun' <- tcCmd env fun (mkPairTy arg_ty cmd_stk, res_ty)
; arg' <- tcMonoExpr arg arg_ty
; return (HsCmdApp fun' arg') }
tc_cmd env
(HsCmdLam (MG { mg_alts = [L mtch_loc (match@(Match pats _maybe_rhs_sig grhss))], mg_origin = origin }))
(cmd_stk, res_ty)
= addErrCtxt (pprMatchInCtxt match_ctxt match) $
do { (co, arg_tys, cmd_stk') <- matchExpectedCmdArgs n_pats cmd_stk
; (pats', grhss') <- setSrcSpan mtch_loc $
tcPats LambdaExpr pats arg_tys $
tc_grhss grhss cmd_stk' res_ty
; let match' = L mtch_loc (Match pats' Nothing grhss')
arg_tys = map hsLPatType pats'
cmd' = HsCmdLam (MG { mg_alts = [match'], mg_arg_tys = arg_tys
, mg_res_ty = res_ty, mg_origin = origin })
; return (mkHsCmdCast co cmd') }
where
n_pats = length pats
match_ctxt = (LambdaExpr :: HsMatchContext Name)
pg_ctxt = PatGuard match_ctxt
tc_grhss (GRHSs grhss binds) stk_ty res_ty
= do { (binds', grhss') <- tcLocalBinds binds $
mapM (wrapLocM (tc_grhs stk_ty res_ty)) grhss
; return (GRHSs grhss' binds') }
tc_grhs stk_ty res_ty (GRHS guards body)
= do { (guards', rhs') <- tcStmtsAndThen pg_ctxt tcGuardStmt guards res_ty $
\ res_ty -> tcCmd env body (stk_ty, res_ty)
; return (GRHS guards' rhs') }
tc_cmd env (HsCmdDo stmts _) (cmd_stk, res_ty)
= do { co <- unifyType unitTy cmd_stk
; stmts' <- tcStmts ArrowExpr (tcArrDoStmt env) stmts res_ty
; return (mkHsCmdCast co (HsCmdDo stmts' res_ty)) }
tc_cmd env cmd@(HsCmdArrForm expr fixity cmd_args) (cmd_stk, res_ty)
= addErrCtxt (cmdCtxt cmd) $
do { (cmd_args', cmd_tys) <- mapAndUnzipM tc_cmd_arg cmd_args
; let e_ty = mkForAllTy alphaTyVar $
mkFunTys cmd_tys $
mkCmdArrTy env (mkPairTy alphaTy cmd_stk) res_ty
; expr' <- tcPolyExpr expr e_ty
; return (HsCmdArrForm expr' fixity cmd_args') }
where
tc_cmd_arg :: LHsCmdTop Name -> TcM (LHsCmdTop TcId, TcType)
tc_cmd_arg cmd
= do { arr_ty <- newFlexiTyVarTy arrowTyConKind
; stk_ty <- newFlexiTyVarTy liftedTypeKind
; res_ty <- newFlexiTyVarTy liftedTypeKind
; let env' = env { cmd_arr = arr_ty }
; cmd' <- tcCmdTop env' cmd (stk_ty, res_ty)
; return (cmd', mkCmdArrTy env' (mkPairTy alphaTy stk_ty) res_ty) }
tc_cmd _ cmd _
= failWithTc (vcat [ptext (sLit "The expression"), nest 2 (ppr cmd),
ptext (sLit "was found where an arrow command was expected")])
matchExpectedCmdArgs :: Arity -> TcType -> TcM (TcCoercion, [TcType], TcType)
matchExpectedCmdArgs 0 ty
= return (mkTcNomReflCo ty, [], ty)
matchExpectedCmdArgs n ty
= do { (co1, [ty1, ty2]) <- matchExpectedTyConApp pairTyCon ty
; (co2, tys, res_ty) <- matchExpectedCmdArgs (n1) ty2
; return (mkTcTyConAppCo Nominal pairTyCon [co1, co2], ty1:tys, res_ty) }
\end{code}
%************************************************************************
%* *
Stmts
%* *
%************************************************************************
\begin{code}
tcArrDoStmt :: CmdEnv -> TcCmdStmtChecker
tcArrDoStmt env _ (LastStmt rhs _) res_ty thing_inside
= do { rhs' <- tcCmd env rhs (unitTy, res_ty)
; thing <- thing_inside (panic "tcArrDoStmt")
; return (LastStmt rhs' noSyntaxExpr, thing) }
tcArrDoStmt env _ (BodyStmt rhs _ _ _) res_ty thing_inside
= do { (rhs', elt_ty) <- tc_arr_rhs env rhs
; thing <- thing_inside res_ty
; return (BodyStmt rhs' noSyntaxExpr noSyntaxExpr elt_ty, thing) }
tcArrDoStmt env ctxt (BindStmt pat rhs _ _) res_ty thing_inside
= do { (rhs', pat_ty) <- tc_arr_rhs env rhs
; (pat', thing) <- tcPat (StmtCtxt ctxt) pat pat_ty $
thing_inside res_ty
; return (BindStmt pat' rhs' noSyntaxExpr noSyntaxExpr, thing) }
tcArrDoStmt env ctxt (RecStmt { recS_stmts = stmts, recS_later_ids = later_names
, recS_rec_ids = rec_names }) res_ty thing_inside
= do { let tup_names = rec_names ++ filterOut (`elem` rec_names) later_names
; tup_elt_tys <- newFlexiTyVarTys (length tup_names) liftedTypeKind
; let tup_ids = zipWith mkLocalId tup_names tup_elt_tys
; tcExtendIdEnv tup_ids $ do
{ (stmts', tup_rets)
<- tcStmtsAndThen ctxt (tcArrDoStmt env) stmts res_ty $ \ _res_ty' ->
zipWithM tcCheckId tup_names tup_elt_tys
; thing <- thing_inside res_ty
; let rec_ids = takeList rec_names tup_ids
; later_ids <- tcLookupLocalIds later_names
; let rec_rets = takeList rec_names tup_rets
; let ret_table = zip tup_ids tup_rets
; let later_rets = [r | i <- later_ids, (j, r) <- ret_table, i == j]
; return (emptyRecStmt { recS_stmts = stmts', recS_later_ids = later_ids
, recS_later_rets = later_rets
, recS_rec_ids = rec_ids, recS_rec_rets = rec_rets
, recS_ret_ty = res_ty }, thing)
}}
tcArrDoStmt _ _ stmt _ _
= pprPanic "tcArrDoStmt: unexpected Stmt" (ppr stmt)
tc_arr_rhs :: CmdEnv -> LHsCmd Name -> TcM (LHsCmd TcId, TcType)
tc_arr_rhs env rhs = do { ty <- newFlexiTyVarTy liftedTypeKind
; rhs' <- tcCmd env rhs (unitTy, ty)
; return (rhs', ty) }
\end{code}
%************************************************************************
%* *
Helpers
%* *
%************************************************************************
\begin{code}
mkPairTy :: Type -> Type -> Type
mkPairTy t1 t2 = mkTyConApp pairTyCon [t1,t2]
arrowTyConKind :: Kind
arrowTyConKind = mkArrowKinds [liftedTypeKind, liftedTypeKind] liftedTypeKind
\end{code}
%************************************************************************
%* *
Errors
%* *
%************************************************************************
\begin{code}
cmdCtxt :: HsCmd Name -> SDoc
cmdCtxt cmd = ptext (sLit "In the command:") <+> ppr cmd
\end{code}