+%
+% (c) The University of Glasgow 2006
+%
- Module for type coercions, as in System FC.
+Module for type coercions, as in System FC.
Coercions are represented as types, and their kinds tell what types the
coercion works on.
#include "HsVersions.h"
import TypeRep
-import Type ( Type, Kind, PredType, substTyWith, mkAppTy, mkForAllTy,
- mkFunTy, splitAppTy_maybe, splitForAllTy_maybe, coreView,
- kindView, mkTyConApp, isCoercionKind, isEqPred, mkAppTys,
- coreEqType, splitAppTys, isTyVarTy, splitTyConApp_maybe,
- tyVarsOfType
- )
-import TyCon ( TyCon, tyConArity, mkCoercionTyCon, isNewTyCon,
- newTyConRhs, newTyConCo,
- isCoercionTyCon, isCoercionTyCon_maybe )
-import Var ( Var, TyVar, isTyVar, tyVarKind )
-import VarSet ( elemVarSet )
-import Name ( BuiltInSyntax(..), Name, mkWiredInName, tcName )
-import OccName ( mkOccNameFS )
-import PrelNames ( symCoercionTyConKey,
- transCoercionTyConKey, leftCoercionTyConKey,
- rightCoercionTyConKey, instCoercionTyConKey,
- unsafeCoercionTyConKey, gHC_PRIM
- )
-import Util ( lengthIs, snocView )
-import Unique ( hasKey )
-import BasicTypes ( Arity )
+import Type
+import TyCon
+import Var
+import Name
+import OccName
+import PrelNames
+import Util
+import Unique
+import BasicTypes
import Outputable
-
------------------------------
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
-isCoVar :: Var -> Bool
-isCoVar tv = isTyVar tv && isCoercionKind (tyVarKind tv)
-
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)
-coercionKind (TyVarTy a) | isCoVar a = splitCoercionKind (tyVarKind a)
- | otherwise = let t = (TyVarTy a) in (t, t)
+coercionKind ty@(TyVarTy a) | isCoVar a = splitCoercionKind (tyVarKind a)
+ | otherwise = (ty, ty)
coercionKind (AppTy ty1 ty2)
= let (t1, t2) = coercionKind ty1
(s1, s2) = coercionKind ty2 in
coercionKind (TyConApp tc args)
| Just (ar, rule) <- isCoercionTyCon_maybe tc
-- CoercionTyCons carry their kinding rule, so we use it here
- = if length args >= ar
- then splitCoercionKind (rule args)
- else pprPanic ("arity/arguments mismatch in coercionKind:")
- (ppr ar $$ ppr tc <+> ppr args)
+ = ASSERT( length args >= ar ) -- Always saturated
+ let (ty1,ty2) = rule (take ar args) -- Apply the rule to the right number of args
+ (tys1, tys2) = coercionKinds (drop ar args)
+ in (mkAppTys ty1 tys1, mkAppTys ty2 tys2)
+
| otherwise
= let (lArgs, rArgs) = coercionKinds args in
(TyConApp tc lArgs, TyConApp tc rArgs)
-- See note [Newtype coercions] in TyCon
-mkNewTypeCoercion :: Name -> TyCon -> [TyVar] -> Type -> TyCon
-mkNewTypeCoercion name tycon tvs rhs_ty
- = ASSERT (length tvs == tyConArity tycon)
- mkCoercionTyCon name co_con_arity (mkKindingFun rule)
+mkNewTypeCoercion :: Name -> TyCon -> ([TyVar], Type) -> TyCon
+mkNewTypeCoercion name tycon (tvs, rhs_ty)
+ = mkCoercionTyCon name co_con_arity rule
where
- rule args = (TyConApp tycon tys, substTyWith tvs_eta tys rhs_eta, rest)
- where
- tys = take co_con_arity args
- rest = drop co_con_arity args
-
- -- if the rhs_ty is a type application and it has a tail equal to a tail
- -- of the tvs, then we eta-contract the type of the coercion
- rhs_args = let (ty, ty_args) = splitAppTys rhs_ty in ty_args
-
- n_eta_tys = count_eta (reverse rhs_args) (reverse tvs)
-
- count_eta ((TyVarTy tv):rest_ty) (tv':rest_tv)
- | tv == tv' && (not $ any (elemVarSet tv . tyVarsOfType) rest_ty)
- -- if the last types are the same, and not free anywhere else
- -- then eta contract
- = 1 + (count_eta rest_ty rest_tv)
- | otherwise -- don't
- = 0
- count_eta _ _ = 0
-
-
- eqVar (TyVarTy tv) tv' = tv == tv'
- eqVar _ _ = False
+ co_con_arity = length tvs
- co_con_arity = (tyConArity tycon) - n_eta_tys
-
- tvs_eta = (reverse (drop n_eta_tys (reverse tvs)))
-
- rhs_eta
- | (ty, ty_args) <- splitAppTys rhs_ty
- = mkAppTys ty (reverse (drop n_eta_tys (reverse ty_args)))
+ rule args = ASSERT( co_con_arity == length args )
+ (TyConApp tycon args, substTyWith tvs args rhs_ty)
-- 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
-> TyCon -- representation tycon (`R')
-> TyCon -- => coercion tycon (`Co')
mkDataInstCoercion name tvs family instTys rep_tycon
- = mkCoercionTyCon name coArity (mkKindingFun rule)
+ = mkCoercionTyCon name coArity rule
where
coArity = length tvs
-
- rule args = (substTyWith tvs tys $ -- with sigma = [tys/tvs],
- TyConApp family instTys, -- sigma (F ts)
- TyConApp rep_tycon instTys, -- :=: R tys
- rest) -- surplus arguments
- where
- tys = take coArity args
- rest = drop coArity args
+ rule args = (substTyWith tvs args $ -- with sigma = [tys/tvs],
+ TyConApp family instTys, -- sigma (F ts)
+ TyConApp rep_tycon args) -- :=: R tys
--------------------------------------
-- Coercion Type Constructors...
-- sym d :: p2=q2
-- sym e :: p3=q3
-- 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 f args =
- let (ty1, ty2, rest) = f args in
- let (argtys1, argtys2) = unzip (map coercionKind rest) in
- mkCoKind (mkAppTys ty1 argtys1) (mkAppTys ty2 argtys2)
-
symCoercionTyCon, transCoercionTyCon, leftCoercionTyCon, rightCoercionTyCon, instCoercionTyCon :: TyCon
-- Each coercion TyCon is built with the special CoercionTyCon record and
-- by any TyConApp in which they are applied, however they may also be over
-- applied (see example above) and the kinding function must deal with this.
symCoercionTyCon =
- mkCoercionTyCon symCoercionTyConName 1 (mkKindingFun flipCoercionKindOf)
+ mkCoercionTyCon symCoercionTyConName 1 flipCoercionKindOf
where
- flipCoercionKindOf (co:rest) = (ty2, ty1, rest)
+ flipCoercionKindOf (co:rest) = ASSERT( null rest ) (ty2, ty1)
where
(ty1, ty2) = coercionKind co
transCoercionTyCon =
- mkCoercionTyCon transCoercionTyConName 2 (mkKindingFun composeCoercionKindsOf)
+ mkCoercionTyCon transCoercionTyConName 2 composeCoercionKindsOf
where
- composeCoercionKindsOf (co1:co2:rest) =
+ composeCoercionKindsOf (co1:co2:rest)
+ = ASSERT( null rest )
WARN( not (r1 `coreEqType` a2), text "Strange! Type mismatch in trans coercion, probably a bug")
- (a1, r2, rest)
+ (a1, r2)
where
(a1, r1) = coercionKind co1
(a2, r2) = coercionKind co2
leftCoercionTyCon =
- mkCoercionTyCon leftCoercionTyConName 1 (mkKindingFun leftProjectCoercionKindOf)
+ mkCoercionTyCon leftCoercionTyConName 1 leftProjectCoercionKindOf
where
- leftProjectCoercionKindOf (co:rest) = (ty1, ty2, rest)
+ leftProjectCoercionKindOf (co:rest) = ASSERT( null rest ) (ty1, ty2)
where
(ty1,ty2) = fst (splitCoercionKindOf co)
rightCoercionTyCon =
- mkCoercionTyCon rightCoercionTyConName 1 (mkKindingFun rightProjectCoercionKindOf)
+ mkCoercionTyCon rightCoercionTyConName 1 rightProjectCoercionKindOf
where
- rightProjectCoercionKindOf (co:rest) = (ty1, ty2, rest)
+ rightProjectCoercionKindOf (co:rest) = ASSERT( null rest ) (ty1, ty2)
where
(ty1,ty2) = snd (splitCoercionKindOf co)
= ((ty_fun1, ty_fun2),(ty_arg1, ty_arg2))
instCoercionTyCon
- = mkCoercionTyCon instCoercionTyConName 2 (mkKindingFun instCoercionKind)
+ = mkCoercionTyCon instCoercionTyConName 2 instCoercionKind
where
instantiateCo t s =
let Just (tv, ty) = splitForAllTy_maybe t in
substTyWith [tv] [s] ty
- instCoercionKind (co1:ty:rest) = (instantiateCo t1 ty, instantiateCo t2 ty, rest)
+ instCoercionKind (co1:ty:rest) = ASSERT( null rest )
+ (instantiateCo t1 ty, instantiateCo t2 ty)
where (t1, t2) = coercionKind co1
unsafeCoercionTyCon
- = mkCoercionTyCon unsafeCoercionTyConName 2 (mkKindingFun unsafeCoercionKind)
+ = mkCoercionTyCon unsafeCoercionTyConName 2 unsafeCoercionKind
where
- unsafeCoercionKind (ty1:ty2:rest) = (ty1,ty2,rest)
+ unsafeCoercionKind (ty1:ty2:rest) = ASSERT( null rest ) (ty1,ty2)
--------------------------------------
-- ...and their names
mkCoConName occ key coCon = mkWiredInName gHC_PRIM (mkOccNameFS tcName occ)
- key Nothing (ATyCon coCon) BuiltInSyntax
+ key (ATyCon coCon) BuiltInSyntax
transCoercionTyConName = mkCoConName FSLIT("trans") transCoercionTyConKey transCoercionTyCon
symCoercionTyConName = mkCoConName FSLIT("sym") symCoercionTyConKey symCoercionTyCon
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}