typeKind (symCoercion type) :: TyConApp CoercionTyCon{...} [type, type]
\begin{code}
+{-# OPTIONS -w #-}
+-- The above warning supression flag is a temporary kludge.
+-- While working on this module you are encouraged to remove it and fix
+-- any warnings in the module. See
+-- http://hackage.haskell.org/trac/ghc/wiki/Commentary/CodingStyle#Warnings
+-- for details
+
module Coercion (
Coercion,
isEqPred, mkEqPred, getEqPredTys, isEqPredTy,
-- Coercion transformations
+ mkCoercion,
mkSymCoercion, mkTransCoercion,
- mkLeftCoercion, mkRightCoercion, mkInstCoercion, mkAppCoercion,
+ mkLeftCoercion, mkRightCoercion, mkRightCoercions,
+ mkInstCoercion, mkAppCoercion,
mkForAllCoercion, mkFunCoercion, mkInstsCoercion, mkUnsafeCoercion,
mkNewTypeCoercion, mkFamInstCoercion, mkAppsCoercion,
- splitNewTypeRepCo_maybe, decomposeCo,
+ splitNewTypeRepCo_maybe, instNewTyCon_maybe, decomposeCo,
unsafeCoercionTyCon, symCoercionTyCon,
transCoercionTyCon, leftCoercionTyCon,
- rightCoercionTyCon, instCoercionTyCon -- needed by TysWiredIn
+ rightCoercionTyCon, instCoercionTyCon, -- needed by TysWiredIn
+
+ -- CoercionI
+ CoercionI(..),
+ isIdentityCoercion,
+ mkSymCoI, mkTransCoI,
+ mkTyConAppCoI, mkAppTyCoI, mkFunTyCoI,
+ mkNoteTyCoI, mkForAllTyCoI,
+ fromCoI, fromACo,
+ mkClassPPredCoI, mkIParamPredCoI, mkEqPredCoI
+
) where
#include "HsVersions.h"
import TypeRep
import Type
import TyCon
+import Class
import Var
import Name
import OccName
import Outputable
+type Coercion = Type
+type CoercionKind = Kind -- A CoercionKind is always of form (ty1 :=: ty2)
+
------------------------------
decomposeCo :: Arity -> Coercion -> [Coercion]
-- (decomposeCo 3 c) = [right (left (left c)), right (left c), right c]
splitCoercionKind_maybe (PredTy (EqPred ty1 ty2)) = Just (ty1, ty2)
splitCoercionKind_maybe other = Nothing
-type Coercion = Type
-type CoercionKind = Kind -- A CoercionKind is always of form (ty1 :=: ty2)
-
coercionKind :: Coercion -> (Type, Type)
-- c :: (t1 :=: t2)
-- Then (coercionKind c) = (t1,t2)
| Just (co1, co2) <- splitAppCoercion_maybe co = co2
| otherwise = mkCoercion rightCoercionTyCon [co]
+mkRightCoercions n co
+ = go n co []
+ where
+ go n co acc
+ | n > 0
+ = case splitAppCoercion_maybe co of
+ Just (co1,co2) -> go (n-1) co1 (co2:acc)
+ Nothing -> go (n-1) (mkCoercion leftCoercionTyCon [co]) (mkCoercion rightCoercionTyCon [co]:acc)
+ | otherwise
+ = acc
+
mkInstCoercion co ty
| Just (tv,co') <- splitForAllTy_maybe co
= substTyWith [tv] [ty] co' -- (forall a.co) @ ty --> co[ty/a]
where
composeCoercionKindsOf (co1:co2:rest)
= ASSERT( null rest )
- WARN( not (r1 `coreEqType` a2), text "Strange! Type mismatch in trans coercion, probably a bug")
+ WARN( not (r1 `coreEqType` a2),
+ text "Strange! Type mismatch in trans coercion, probably a bug"
+ $$
+ ppr r1 <+> text "=/=" <+> ppr a2)
(a1, r2)
where
(a1, r1) = coercionKind co1
, Just (ty_fun1, ty_arg1) <- splitAppTy_maybe ty1
, Just (ty_fun2, ty_arg2) <- splitAppTy_maybe ty2
= ((ty_fun1, ty_fun2),(ty_arg1, ty_arg2))
+splitCoercionKindOf co
+ = pprPanic "Coercion.splitCoercionKindOf"
+ (ppr co $$ ppr (coercionKindPredTy co))
instCoercionTyCon
= mkCoercionTyCon instCoercionTyConName 2 instCoercionKind
+instNewTyCon_maybe :: TyCon -> [Type] -> Maybe (Type, CoercionI)
+-- instNewTyCon_maybe T ts
+-- = Just (rep_ty, co) if co : T ts ~ rep_ty
+instNewTyCon_maybe tc tys
+ | Just (tvs, ty, mb_co_tc) <- unwrapNewTyCon_maybe tc
+ = ASSERT( tys `lengthIs` tyConArity tc )
+ Just (substTyWith tvs tys ty,
+ case mb_co_tc of
+ Nothing -> IdCo
+ Just co_tc -> ACo (mkTyConApp co_tc tys))
+ | otherwise
+ = Nothing
+
-- this is here to avoid module loops
splitNewTypeRepCo_maybe :: Type -> Maybe (Type, Coercion)
-- Sometimes we want to look through a newtype and get its associated coercion
-- It only strips *one layer* off, so the caller will usually call itself recursively
-- Only applied to types of kind *, hence the newtype is always saturated
+-- splitNewTypeRepCo_maybe ty
+-- = Just (ty', co) if co : ty ~ ty'
+-- Returns Nothing for non-newtypes or fully-transparent newtypes
splitNewTypeRepCo_maybe ty
| Just ty' <- coreView ty = splitNewTypeRepCo_maybe ty'
splitNewTypeRepCo_maybe (TyConApp tc tys)
- | isClosedNewTyCon tc
- = ASSERT( tys `lengthIs` tyConArity tc ) -- splitNewTypeRepCo_maybe only be applied
- -- to *types* (of kind *)
- case newTyConRhs tc of
- (tvs, rep_ty) ->
- 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_maybe tc)
-splitNewTypeRepCo_maybe other = Nothing
+ | Just (ty', coi) <- instNewTyCon_maybe tc tys
+ = case coi of
+ ACo co -> Just (ty', co)
+ IdCo -> panic "splitNewTypeRepCo_maybe"
+ -- This case handled by coreView
+splitNewTypeRepCo_maybe other
+ = Nothing
\end{code}
+
+
+--------------------------------------
+-- CoercionI smart constructors
+-- lifted smart constructors of ordinary coercions
+
+\begin{code}
+ -- CoercionI is either
+ -- (a) proper coercion
+ -- (b) the identity coercion
+data CoercionI = IdCo | ACo Coercion
+
+isIdentityCoercion :: CoercionI -> Bool
+isIdentityCoercion IdCo = True
+isIdentityCoercion _ = False
+
+allIdCos :: [CoercionI] -> Bool
+allIdCos = all isIdentityCoercion
+
+zipCoArgs :: [CoercionI] -> [Type] -> [Coercion]
+zipCoArgs cois tys = zipWith fromCoI cois tys
+
+fromCoI :: CoercionI -> Type -> Type
+fromCoI IdCo ty = ty -- Identity coercion represented
+fromCoI (ACo co) ty = co -- by the type itself
+
+mkSymCoI :: CoercionI -> CoercionI
+mkSymCoI IdCo = IdCo
+mkSymCoI (ACo co) = ACo $ mkCoercion symCoercionTyCon [co]
+ -- the smart constructor
+ -- is too smart with tyvars
+
+mkTransCoI :: CoercionI -> CoercionI -> CoercionI
+mkTransCoI IdCo aco = aco
+mkTransCoI aco IdCo = aco
+mkTransCoI (ACo co1) (ACo co2) = ACo $ mkTransCoercion co1 co2
+
+mkTyConAppCoI :: TyCon -> [Type] -> [CoercionI] -> CoercionI
+mkTyConAppCoI tyCon tys cois
+ | allIdCos cois = IdCo
+ | otherwise = ACo (TyConApp tyCon (zipCoArgs cois tys))
+
+mkAppTyCoI :: Type -> CoercionI -> Type -> CoercionI -> CoercionI
+mkAppTyCoI ty1 IdCo ty2 IdCo = IdCo
+mkAppTyCoI ty1 coi1 ty2 coi2 =
+ ACo $ AppTy (fromCoI coi1 ty1) (fromCoI coi2 ty2)
+
+mkFunTyCoI :: Type -> CoercionI -> Type -> CoercionI -> CoercionI
+mkFunTyCoI ty1 IdCo ty2 IdCo = IdCo
+mkFunTyCoI ty1 coi1 ty2 coi2 =
+ ACo $ FunTy (fromCoI coi1 ty1) (fromCoI coi2 ty2)
+
+mkNoteTyCoI :: TyNote -> CoercionI -> CoercionI
+mkNoteTyCoI _ IdCo = IdCo
+mkNoteTyCoI note (ACo co) = ACo $ NoteTy note co
+
+mkForAllTyCoI :: TyVar -> CoercionI -> CoercionI
+mkForAllTyCoI _ IdCo = IdCo
+mkForAllTyCoI tv (ACo co) = ACo $ ForAllTy tv co
+
+fromACo :: CoercionI -> Coercion
+fromACo (ACo co) = co
+
+mkClassPPredCoI :: Class -> [Type] -> [CoercionI] -> CoercionI
+-- mkClassPPredCoI cls tys cois = coi
+-- coi : PredTy (cls tys) ~ predTy (cls (tys `cast` cois))
+mkClassPPredCoI cls tys cois
+ | allIdCos cois = IdCo
+ | otherwise = ACo $ PredTy $ ClassP cls (zipCoArgs cois tys)
+
+mkIParamPredCoI :: (IPName Name) -> CoercionI -> CoercionI
+-- Similar invariant to mkclassPPredCoI
+mkIParamPredCoI ipn IdCo = IdCo
+mkIParamPredCoI ipn (ACo co) = ACo $ PredTy $ IParam ipn co
+
+mkEqPredCoI :: Type -> CoercionI -> Type -> CoercionI -> CoercionI
+-- Similar invariant to mkclassPPredCoI
+mkEqPredCoI _ IdCo _ IdCo = IdCo
+mkEqPredCoI ty1 IdCo _ (ACo co2) = ACo $ PredTy $ EqPred ty1 co2
+mkEqPredCoI ty1 (ACo co1) ty2 coi2 = ACo $ PredTy $ EqPred co1 (fromCoI coi2 ty2)
+\end{code}
+