Taken quite directly from the Peyton Jones/Lester paper.
\begin{code}
-#include "HsVersions.h"
-
module FreeVars (
- freeVars,
-
- -- cheap and cheerful variant...
- addTopBindsFVs,
+ -- Cheap and cheerful variant...
+ exprFreeVars,
+ -- Complicated and expensive variant for float-out
+ freeVars,
freeVarsOf, freeTyVarsOf,
- FVCoreExpr(..), FVCoreBinding(..),
-
- CoreExprWithFVs(..), -- For the above functions
- AnnCoreExpr(..), -- Dito
+ CoreExprWithFVs, -- For the above functions
+ AnnCoreExpr, -- Dito
FVInfo(..), LeakInfo(..)
) where
-import Ubiq{-uitous-}
+#include "HsVersions.h"
import AnnCoreSyn -- output
import CoreSyn
+import CoreUtils ( idSpecVars )
import Id ( idType, getIdArity, isBottomingId,
- emptyIdSet, unitIdSet, mkIdSet,
+ emptyIdSet, unitIdSet, mkIdSet, unionIdSets,
elementOfIdSet, minusIdSet, unionManyIdSets,
- IdSet(..)
+ IdSet, Id
)
-import IdInfo ( arityMaybe )
+import IdInfo ( ArityInfo(..) )
import PrimOp ( PrimOp(..) )
-import Type ( tyVarsOfType )
+import Type ( tyVarsOfType, Type )
import TyVar ( emptyTyVarSet, unitTyVarSet, minusTyVarSet,
intersectTyVarSets,
- TyVarSet(..)
+ TyVarSet, TyVar
)
-import UniqSet ( unionUniqSets )
-import Usage ( UVar(..) )
+import BasicTypes ( Unused )
+import UniqSet ( unionUniqSets, addOneToUniqSet )
import Util ( panic, assertPanic )
+
\end{code}
%************************************************************************
but I might be wrong. (SLPJ, date unknown)
\begin{code}
-type CoreExprWithFVs = AnnCoreExpr Id Id TyVar UVar FVInfo
+type CoreExprWithFVs = AnnCoreExpr Id Id Unused FVInfo
type TyVarCands = TyVarSet -- for when we carry around lists of
type IdCands = IdSet -- "candidate" TyVars/Ids.
is_among = elementOfIdSet
munge_id_ty i = tyVarsOfType (idType i)
combine = unionUniqSets -- used both for {Id,TyVar}Sets
+add = addOneToUniqSet
combineFVInfo (FVInfo fvs1 tfvs1 leak1) (FVInfo fvs2 tfvs2 leak2)
= FVInfo (fvs1 `combine` fvs2)
freeVars :: CoreExpr -> CoreExprWithFVs
freeVars expr = fvExpr noIdCands noTyVarCands expr
+
\end{code}
%************************************************************************
-> CoreExprWithFVs
fvExpr id_cands tyvar_cands (Var v)
- = (FVInfo (if (v `is_among` id_cands)
- then aFreeId v
- else noFreeIds)
- noFreeTyVars
- leakiness,
- AnnVar v)
+ = (FVInfo fvs noFreeTyVars leakiness, AnnVar v)
where
+ {-
+ ToDo: insert motivating example for why we *need*
+ to include the idSpecVars in the FV list.
+ -}
+ fvs = fvs_v `unionIdSets` mkIdSet (idSpecVars v)
+
+ fvs_v
+ | v `is_among` id_cands = aFreeId v
+ | otherwise = noFreeIds
+
leakiness
| isBottomingId v = lEAK_FREE_BIG -- Hack
- | otherwise = case arityMaybe (getIdArity v) of
- Nothing -> lEAK_FREE_0
- Just arity -> LeakFree arity
+ | otherwise = case getIdArity v of
+ UnknownArity -> lEAK_FREE_0
+ ArityAtLeast arity -> LeakFree arity
+ ArityExactly arity -> LeakFree arity
fvExpr id_cands tyvar_cands (Lit k)
= (FVInfo noFreeIds noFreeTyVars lEAK_FREE_0, AnnLit k)
-- this Lam stuff could probably be improved by rewriting (WDP 96/03)
-fvExpr id_cands tyvar_cands (Lam (UsageBinder uvar) body)
- = panic "fvExpr:Lam UsageBinder"
-
fvExpr id_cands tyvar_cands (Lam b@(ValBinder binder) body)
= (FVInfo (freeVarsOf body2 `minusIdSet` unitIdSet binder)
(freeTyVarsOf body2 `combine` munge_id_ty binder)
binder_ftvs = munge_id_ty binder
-- We need to collect free tyvars from the binder
+-- Don't forget to notice that the idSpecVars of the binder
+-- are free in the whole expression; albeit not in the RHS or body
+
fvExpr id_cands tyvar_cands (Let (NonRec binder rhs) body)
- = (FVInfo (freeVarsOf rhs' `combine` body_fvs)
+ = (FVInfo (freeVarsOf rhs' `combine` body_fvs `combine` mkIdSet (idSpecVars binder))
(freeTyVarsOf rhs' `combine` freeTyVarsOf body2 `combine` binder_ftvs)
(leakinessOf rhs' `orLeak` leakinessOf body2),
AnnLet (AnnNonRec binder rhs') body2)
where
- rhs' = fvExpr id_cands tyvar_cands rhs
+ rhs' = fvRhs id_cands tyvar_cands (binder, rhs)
body2 = fvExpr (aFreeId binder `combine` id_cands) tyvar_cands body
body_fvs = freeVarsOf body2 `minusIdSet` aFreeId binder
binder_ftvs = munge_id_ty binder
(binders, rhss) = unzip binds
new_id_cands = binders_set `combine` id_cands
binders_set = mkIdSet binders
- rhss' = map (fvExpr new_id_cands tyvar_cands) rhss
+ rhss' = map (fvRhs new_id_cands tyvar_cands) binds
FVInfo rhss_fvs rhss_tfvs leakiness_of_rhss
= foldr1 combineFVInfo [info | (info,_) <- rhss']
- binds_fvs = rhss_fvs `minusIdSet` binders_set
+ -- Don't forget to notice that the idSpecVars of the binder
+ -- are free in the whole expression; albeit not in the RHS or body
+ binds_fvs = (foldr (unionIdSets . mkIdSet . idSpecVars) rhss_fvs binders)
+ `minusIdSet`
+ binders_set
+
body2 = fvExpr new_id_cands tyvar_cands body
body_fvs = freeVarsOf body2 `minusIdSet` binders_set
binders_ftvs = foldr (combine . munge_id_ty) noFreeTyVars binders
-- We need to collect free tyvars from the binders
-fvExpr id_cands tyvar_cands (SCC label expr)
- = (fvinfo, AnnSCC label expr2)
- where
- expr2@(fvinfo,_) = fvExpr id_cands tyvar_cands expr
-
-fvExpr id_cands tyvar_cands (Coerce c ty expr)
+fvExpr id_cands tyvar_cands (Note (Coerce to_ty from_ty) expr)
= (FVInfo (freeVarsOf expr2)
- (freeTyVarsOf expr2 `combine` tfvs)
+ (freeTyVarsOf expr2 `combine` tfvs1 `combine` tfvs2)
(leakinessOf expr2),
- AnnCoerce c ty expr2)
+ AnnNote (Coerce to_ty from_ty) expr2)
where
expr2 = fvExpr id_cands tyvar_cands expr
- tfvs = freeTy tyvar_cands ty
+ tfvs1 = freeTy tyvar_cands from_ty
+ tfvs2 = freeTy tyvar_cands to_ty
+
+fvExpr id_cands tyvar_cands (Note other_note expr)
+ = (fvinfo, AnnNote other_note expr2)
+ where
+ expr2@(fvinfo,_) = fvExpr id_cands tyvar_cands expr
+
+fvRhs id_cands tyvar_cands (bndr,rhs)
+ = fvExpr id_cands tyvar_cands rhs
\end{code}
\begin{code}
(arg_fvs `combine` irest, tfvs `combine` trest) }
where
free_arg (LitArg _) = noFreeAnything
- free_arg (UsageArg _) = noFreeAnything
free_arg (TyArg ty) = (noFreeIds, freeTy tcands ty)
free_arg (VarArg v)
| v `is_among` icands = (aFreeId v, noFreeTyVars)
%************************************************************************
%* *
-\section[freevars-binders]{Attaching free variables to binders
+\section{Finding the free variables of an expression}
%* *
%************************************************************************
-
-Here's an variant of the free-variable pass, which pins free-variable
-information on {\em binders} rather than every single jolly
-expression!
-\begin{itemize}
-\item
- The free vars attached to a lambda binder are the free vars of the
- whole lambda abstraction. If there are multiple binders, they are
- each given the same free-var set.
-\item
- The free vars attached to a let(rec) binder are the free vars of the
- rhs of the binding. In the case of letrecs, this set excludes the
- binders themselves.
-\item
- The free vars attached to a case alternative binder are the free
- vars of the alternative, excluding the alternative's binders.
-\end{itemize}
-
-There's a predicate carried in which tells what is a free-var
-candidate. It is passed the Id and a set of in-scope Ids.
-
-(Global) constructors used on the rhs in a Con are also treated as
-potential free-var candidates (though they will not be recorded in the
-in-scope set). The predicate must decide if they are to be recorded as
-free-vars.
-
-As it happens this is only ever used by the Specialiser!
+This function simply finds the free variables of an expression.
\begin{code}
-type FVCoreBinder = (Id, IdSet)
-type FVCoreExpr = GenCoreExpr FVCoreBinder Id TyVar UVar
-type FVCoreBinding = GenCoreBinding FVCoreBinder Id TyVar UVar
-
type InterestingIdFun
- = IdSet -- Non-top-level in-scope variables
- -> Id -- The Id being looked at
+ = Id -- The Id being looked at
-> Bool -- True <=> interesting
-\end{code}
-
-\begin{code}
-addExprFVs :: InterestingIdFun -- "Interesting id" predicate
- -> IdSet -- In scope ids
- -> CoreExpr
- -> (FVCoreExpr, IdSet)
-addExprFVs fv_cand in_scope (Var v)
- = (Var v, if fv_cand in_scope v
- then aFreeId v
- else noFreeIds)
-
-addExprFVs fv_cand in_scope (Lit lit) = (Lit lit, noFreeIds)
-
-addExprFVs fv_cand in_scope (Con con args)
- = (Con con args,
- if fv_cand in_scope con
- then aFreeId con
- else noFreeIds `combine` fvsOfArgs fv_cand in_scope args)
-
-addExprFVs fv_cand in_scope (Prim op args)
- = (Prim op args, fvsOfArgs fv_cand in_scope args)
+exprFreeVars :: InterestingIdFun -> CoreExpr -> IdSet
+exprFreeVars fv_cand e = expr_fvs fv_cand emptyIdSet e
+\end{code}
-addExprFVs fv_cand in_scope (Lam binder body)
- = (Lam new_binder new_body, lam_fvs)
- where
- (new_binder, binder_set)
- = case binder of
- TyBinder t -> (TyBinder t, emptyIdSet)
- UsageBinder u -> (UsageBinder u, emptyIdSet)
- ValBinder b -> (ValBinder (b, lam_fvs),
- unitIdSet b)
-
- new_in_scope = in_scope `combine` binder_set
- (new_body, body_fvs) = addExprFVs fv_cand new_in_scope body
- lam_fvs = body_fvs `minusIdSet` binder_set
-
-addExprFVs fv_cand in_scope (App fun arg)
- = (App fun2 arg, fun_fvs `combine` fvsOfArgs fv_cand in_scope [arg])
- where
- (fun2, fun_fvs) = addExprFVs fv_cand in_scope fun
-addExprFVs fv_cand in_scope (Case scrut alts)
- = (Case scrut' alts', scrut_fvs `combine` alts_fvs)
+\begin{code}
+expr_fvs :: InterestingIdFun -- "Interesting id" predicate
+ -> IdSet -- In scope ids
+ -> CoreExpr
+ -> IdSet
+
+expr_fvs fv_cand in_scope (Var v) = id_fvs fv_cand in_scope v
+expr_fvs fv_cand in_scope (Lit lit) = noFreeIds
+expr_fvs fv_cand in_scope (Con con args) = args_fvs fv_cand in_scope args
+expr_fvs fv_cand in_scope (Prim op args) = args_fvs fv_cand in_scope args
+expr_fvs fv_cand in_scope (Note _ expr) = expr_fvs fv_cand in_scope expr
+expr_fvs fv_cand in_scope (App fun arg) = expr_fvs fv_cand in_scope fun `combine`
+ arg_fvs fv_cand in_scope arg
+
+
+expr_fvs fv_cand in_scope (Lam (ValBinder b) body)
+ = (expr_fvs fv_cand (in_scope `add` b) body)
+expr_fvs fv_cand in_scope (Lam (TyBinder b) body)
+ = expr_fvs fv_cand in_scope body
+
+expr_fvs fv_cand in_scope (Case scrut alts)
+ = expr_fvs fv_cand in_scope scrut `combine` alts_fvs
where
- (scrut', scrut_fvs) = addExprFVs fv_cand in_scope scrut
-
- (alts', alts_fvs)
+ alts_fvs
= case alts of
- AlgAlts alg_alts deflt -> (AlgAlts alg_alts' deflt', fvs)
+ AlgAlts alg_alts deflt -> unionManyIdSets (deflt_fvs : alt_fvs)
where
- (alg_alts', alt_fvs) = unzip (map do_alg_alt alg_alts)
- (deflt', deflt_fvs) = do_deflt deflt
- fvs = unionManyIdSets (deflt_fvs : alt_fvs)
+ alt_fvs = map do_alg_alt alg_alts
+ deflt_fvs = do_deflt deflt
- PrimAlts prim_alts deflt -> (PrimAlts prim_alts' deflt', fvs)
+ PrimAlts prim_alts deflt -> unionManyIdSets (deflt_fvs : alt_fvs)
where
- (prim_alts', alt_fvs) = unzip (map do_prim_alt prim_alts)
- (deflt', deflt_fvs) = do_deflt deflt
- fvs = unionManyIdSets (deflt_fvs : alt_fvs)
-
- do_alg_alt :: (Id, [Id], CoreExpr)
- -> ((Id, [FVCoreBinder], FVCoreExpr), IdSet)
+ alt_fvs = map do_prim_alt prim_alts
+ deflt_fvs = do_deflt deflt
- do_alg_alt (con, args, rhs) = ((con, args `zip` (repeat fvs), rhs'), fvs)
+ do_alg_alt :: (Id, [Id], CoreExpr) -> IdSet
+ do_alg_alt (con, args, rhs) = expr_fvs fv_cand new_in_scope rhs
where
- new_in_scope = in_scope `combine` arg_set
- (rhs', rhs_fvs) = addExprFVs fv_cand new_in_scope rhs
- fvs = rhs_fvs `minusIdSet` arg_set
- arg_set = mkIdSet args
+ new_in_scope = in_scope `combine` mkIdSet args
- do_prim_alt (lit, rhs) = ((lit, rhs'), rhs_fvs)
- where
- (rhs', rhs_fvs) = addExprFVs fv_cand in_scope rhs
+ do_prim_alt (lit, rhs) = expr_fvs fv_cand in_scope rhs
- do_deflt NoDefault = (NoDefault, noFreeIds)
- do_deflt (BindDefault var rhs)
- = (BindDefault (var,fvs) rhs', fvs)
- where
- new_in_scope = in_scope `combine` var_set
- (rhs', rhs_fvs) = addExprFVs fv_cand new_in_scope rhs
- fvs = rhs_fvs `minusIdSet` var_set
- var_set = aFreeId var
+ do_deflt NoDefault = noFreeIds
+ do_deflt (BindDefault b rhs) = expr_fvs fv_cand (in_scope `add` b) rhs
+
+expr_fvs fv_cand in_scope (Let (NonRec b r) body)
+ = expr_fvs fv_cand in_scope r `combine`
+ expr_fvs fv_cand (in_scope `add` b) body
-addExprFVs fv_cand in_scope (Let binds body)
- = (Let binds' body2, fvs_binds `combine` (fvs_body `minusIdSet` binder_set))
+expr_fvs fv_cand in_scope (Let (Rec pairs) body)
+ = foldr (combine . expr_fvs fv_cand in_scope' . snd) noFreeIds pairs `combine`
+ expr_fvs fv_cand in_scope' body
where
- (binds', fvs_binds, new_in_scope, binder_set)
- = addBindingFVs fv_cand in_scope binds
+ in_scope' = in_scope `combine` mkIdSet (map fst pairs)
- (body2, fvs_body) = addExprFVs fv_cand new_in_scope body
-addExprFVs fv_cand in_scope (SCC label expr)
- = (SCC label expr2, expr_fvs)
- where
- (expr2, expr_fvs) = addExprFVs fv_cand in_scope expr
-addExprFVs fv_cand in_scope (Coerce c ty expr)
- = (Coerce c ty expr2, expr_fvs)
- where
- (expr2, expr_fvs) = addExprFVs fv_cand in_scope expr
-\end{code}
-\begin{code}
-addBindingFVs
- :: InterestingIdFun -- "Interesting id" predicate
- -> IdSet -- In scope ids
- -> CoreBinding
- -> (FVCoreBinding,
- IdSet, -- Free vars of binding group
- IdSet, -- Augmented in-scope Ids
- IdSet) -- Set of Ids bound by this binding
-
-addBindingFVs fv_cand in_scope (NonRec binder rhs)
- = (NonRec binder' rhs', fvs, new_in_scope, binder_set)
- where
- ((binder', rhs'), fvs) = do_pair fv_cand in_scope binder_set (binder, rhs)
- new_in_scope = in_scope `combine` binder_set
- binder_set = aFreeId binder
+--------------------------------------
+arg_fvs fv_cand in_scope (VarArg v) = id_fvs fv_cand in_scope v
+arg_fvs fv_cand in_scope other_arg = noFreeIds
-addBindingFVs fv_cand in_scope (Rec pairs)
- = (Rec pairs', unionManyIdSets fvs_s, new_in_scope, binder_set)
- where
- binders = [binder | (binder,_) <- pairs]
- binder_set = mkIdSet binders
- new_in_scope = in_scope `combine` binder_set
- (pairs', fvs_s) = unzip (map (do_pair fv_cand new_in_scope binder_set) pairs)
-\end{code}
+--------------------------------------
+args_fvs fv_cand in_scope args = foldr (combine . arg_fvs fv_cand in_scope) noFreeIds args
-\begin{code}
-addTopBindsFVs
- :: InterestingIdFun -- "Interesting id" predicate
- -> [CoreBinding]
- -> ([FVCoreBinding],
- IdSet)
-
-addTopBindsFVs fv_cand [] = ([], noFreeIds)
-addTopBindsFVs fv_cand (b:bs)
- = let
- (b', fvs_b, _, _) = addBindingFVs fv_cand noFreeIds b
- (bs', fvs_bs) = addTopBindsFVs fv_cand bs
- in
- (b' : bs', fvs_b `combine` fvs_bs)
-\end{code}
-\begin{code}
-fvsOfArgs :: InterestingIdFun -- "Interesting id" predicate
- -> IdSet -- In scope ids
- -> [CoreArg]
- -> IdSet
-
-fvsOfArgs _ _ [] = noFreeIds
-
-fvsOfArgs fv_cand in_scope [VarArg v] -- this is only a short-cut...
- = if (fv_cand in_scope v) then aFreeId v else noFreeIds
-fvsOfArgs _ _ [ _ ] = noFreeIds
-
-fvsOfArgs fv_cand in_scope args
- = mkIdSet [ v | (VarArg v) <- args, fv_cand in_scope v ]
- -- all other types of args are uninteresting here...
-
-----------
-do_pair :: InterestingIdFun -- "Interesting id" predicate
- -> IdSet -- In scope ids
- -> IdSet
- -> (Id, CoreExpr)
- -> ((FVCoreBinder, FVCoreExpr), IdSet)
-
-do_pair fv_cand in_scope binder_set (binder,rhs)
- = (((binder, fvs), rhs'), fvs)
- where
- (rhs', rhs_fvs) = addExprFVs fv_cand in_scope rhs
- fvs = rhs_fvs `minusIdSet` binder_set
+--------------------------------------
+id_fvs fv_cand in_scope v
+ | v `elementOfIdSet` in_scope = noFreeIds
+ | fv_cand v = aFreeId v
+ | otherwise = noFreeIds
\end{code}