mkSymCoercion, mkTransCoercion,
mkLeftCoercion, mkRightCoercion, mkInstCoercion, mkAppCoercion,
mkForAllCoercion, mkFunCoercion, mkInstsCoercion, mkUnsafeCoercion,
- mkNewTypeCoercion, mkAppsCoercion,
+ mkNewTypeCoercion, mkDataInstCoercion, mkAppsCoercion,
splitNewTypeRepCo_maybe, decomposeCo,
import Type ( Type, Kind, PredType, substTyWith, mkAppTy, mkForAllTy,
mkFunTy, splitAppTy_maybe, splitForAllTy_maybe, coreView,
kindView, mkTyConApp, isCoercionKind, isEqPred, mkAppTys,
- coreEqType
+ coreEqType, splitAppTys, isTyVarTy, splitTyConApp_maybe
)
-import TyCon ( TyCon, tyConArity, mkCoercionTyCon, isNewTyCon,
- newTyConRhs, newTyConCo,
+import TyCon ( TyCon, tyConArity, mkCoercionTyCon, isClosedNewTyCon,
+ newTyConRhs, newTyConCo_maybe,
isCoercionTyCon, isCoercionTyCon_maybe )
import Var ( Var, TyVar, isTyVar, tyVarKind )
import Name ( BuiltInSyntax(..), Name, mkWiredInName, tcName )
mkForAllCoercion tv co = ASSERT ( isTyVar tv ) mkForAllTy tv co
mkFunCoercion co1 co2 = mkFunTy co1 co2
+
+-- This smart constructor creates a sym'ed version its argument,
+-- but tries to push the sym's down to the leaves. If we come to
+-- sym tv or sym tycon then we can drop the sym because tv and tycon
+-- are reflexive coercions
mkSymCoercion co
| Just co2 <- splitSymCoercion_maybe co = co2
- | Just (co1, co2) <- splitAppCoercion_maybe co
- -- should make this case better
- = mkAppCoercion (mkSymCoercion co1) (mkSymCoercion co2)
+ -- sym (sym co) --> co
+ | Just (co1, arg_tys) <- splitTyConApp_maybe co
+ , not (isCoercionTyCon co1) = mkTyConApp co1 (map mkSymCoercion arg_tys)
+ -- we can drop the sym for a TyCon
+ -- sym (ty [t1, ..., tn]) --> ty [sym t1, ..., sym tn]
+ | (co1, arg_tys) <- splitAppTys co
+ , isTyVarTy co1 = mkAppTys (maybe_drop co1) (map mkSymCoercion arg_tys)
+ -- sym (tv [t1, ..., tn]) --> tv [sym t1, ..., sym tn]
+ -- if tv type variable
+ -- sym (cv [t1, ..., tn]) --> (sym cv) [sym t1, ..., sym tn]
+ -- if cv is a coercion variable
+ -- fall through if head is a CoercionTyCon
| Just (co1, co2) <- splitTransCoercion_maybe co
+ -- sym (co1 `trans` co2) --> (sym co2) `trans (sym co2)
= mkTransCoercion (mkSymCoercion co2) (mkSymCoercion co1)
| Just (co, ty) <- splitInstCoercion_maybe co
+ -- sym (co @ ty) --> (sym co) @ ty
= mkInstCoercion (mkSymCoercion co) ty
| Just co <- splitLeftCoercion_maybe co
+ -- sym (left co) --> left (sym co)
= mkLeftCoercion (mkSymCoercion co)
| Just co <- splitRightCoercion_maybe co
+ -- sym (right co) --> right (sym co)
= mkRightCoercion (mkSymCoercion co)
+ where
+ maybe_drop (TyVarTy tv)
+ | isCoVar tv = mkCoercion symCoercionTyCon [TyVarTy tv]
+ | otherwise = TyVarTy tv
+ maybe_drop other = other
mkSymCoercion (ForAllTy tv ty) = ForAllTy tv (mkSymCoercion ty)
-- for atomic types and constructors, we can just ignore sym since these
-- are reflexive coercions
| isCoVar tv = mkCoercion symCoercionTyCon [TyVarTy tv]
| otherwise = TyVarTy tv
mkSymCoercion co = mkCoercion symCoercionTyCon [co]
- -- this should not happen but does
-- Smart constructors for left and right
mkLeftCoercion co
splitRightCoercion_maybe other = Nothing
-- Unsafe coercion is not safe, it is used when we know we are dealing with
--- bottom, which is the one case in which it is safe. It is also used to
+-- bottom, which is one case in which it is safe. It is also used to
-- implement the unsafeCoerce# primitive.
mkUnsafeCoercion :: Type -> Type -> Coercion
mkUnsafeCoercion ty1 ty2
= mkCoercion unsafeCoercionTyCon [ty1, ty2]
--- Make the coercion associated with a newtype. If we have
---
--- newtype T a b = MkT (Int, a, b)
---
--- Then (mkNewTypeCoercion CoT T [a,b] (Int, a, b)) creates the coercion
--- CoT, such kinding rule such that
+-- See note [Newtype coercions] in TyCon
+mkNewTypeCoercion :: Name -> TyCon -> ([TyVar], Type) -> TyCon
+mkNewTypeCoercion name tycon (tvs, rhs_ty)
+ = mkCoercionTyCon name co_con_arity (mkKindingFun rule)
+ where
+ co_con_arity = length tvs
+
+ rule args = (TyConApp tycon tys, substTyWith tvs tys rhs_ty, rest)
+ where
+ tys = take co_con_arity args
+ rest = drop co_con_arity args
+
+-- Coercion identifying a data/newtype representation type and its family
+-- instance. It has the form `Co tvs :: F ts :=: R tvs', where `Co' is the
+-- coercion tycon built here, `F' the family tycon and `R' the (derived)
+-- representation tycon.
--
--- CoT S U :: (Int, S, U) :=: T S U
-mkNewTypeCoercion :: Name -> TyCon -> [TyVar] -> Type -> TyCon
-mkNewTypeCoercion name tycon tvs rhs_ty
- = ASSERT (length tvs == tyConArity tycon)
- mkCoercionTyCon name (tyConArity tycon) rule
+mkDataInstCoercion :: Name -- unique name for the coercion tycon
+ -> [TyVar] -- type parameters of the coercion (`tvs')
+ -> TyCon -- family tycon (`F')
+ -> [Type] -- type instance (`ts')
+ -> TyCon -- representation tycon (`R')
+ -> TyCon -- => coercion tycon (`Co')
+mkDataInstCoercion name tvs family instTys rep_tycon
+ = mkCoercionTyCon name coArity (mkKindingFun rule)
where
- rule args = mkCoKind (substTyWith tvs args rhs_ty) (TyConApp tycon args)
+ coArity = length tvs
+
+ rule args = (substTyWith tvs tys $ -- with sigma = [tys/tvs],
+ TyConApp family instTys, -- sigma (F ts)
+ TyConApp rep_tycon tys, -- :=: R tys
+ rest) -- surplus arguments
+ where
+ tys = take coArity args
+ rest = drop coArity args
--------------------------------------
-- Coercion Type Constructors...
-- then ((sym c) (sym d) (sym e)) :: (p1 p2 p3)=(q1 q2 q3)
--
-- (mkKindingFun f) is given the args [c, sym d, sym e]
-mkKindingFun :: ([Type] -> (Type, Type, [Type])) -> [Type] -> Kind
+mkKindingFun :: ([Type] -> (Type, Type, [Type]))
+ -> [Type] -> Kind
mkKindingFun f args =
let (ty1, ty2, rest) = f args in
let (argtys1, argtys2) = unzip (map coercionKind rest) in
splitNewTypeRepCo_maybe ty
| Just ty' <- coreView ty = splitNewTypeRepCo_maybe ty'
splitNewTypeRepCo_maybe (TyConApp tc tys)
- | isNewTyCon tc
+ | isClosedNewTyCon tc
= ASSERT( tys `lengthIs` tyConArity tc ) -- splitNewTypeRepCo_maybe only be applied
-- to *types* (of kind *)
case newTyConRhs tc of
ASSERT( length tvs == length tys )
Just (substTyWith tvs tys rep_ty, mkTyConApp co_con tys)
where
- co_con = maybe (pprPanic "splitNewTypeRepCo_maybe" (ppr tc)) id (newTyConCo tc)
+ co_con = maybe (pprPanic "splitNewTypeRepCo_maybe" (ppr tc)) id (newTyConCo_maybe tc)
splitNewTypeRepCo_maybe other = Nothing
\end{code}
projects / ghc-hetmet.git / blobdiff