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-rw-r--r--compiler/deSugar/Check.hs191
1 files changed, 142 insertions, 49 deletions
diff --git a/compiler/deSugar/Check.hs b/compiler/deSugar/Check.hs
index d57e34a79c..24ce3a9ebb 100644
--- a/compiler/deSugar/Check.hs
+++ b/compiler/deSugar/Check.hs
@@ -438,7 +438,7 @@ checkEmptyCase' var = do
-- A list of inhabitant candidates is available: Check for each
-- one for the satisfiability of the constraints it gives rise to.
- Right candidates -> do
+ Right (_, candidates) -> do
missing_m <- flip mapMaybeM candidates $
\InhabitationCandidate{ ic_val_abs = va, ic_tm_ct = tm_ct
, ic_ty_cs = ty_cs
@@ -610,18 +610,15 @@ pmIsSatisfiable amb_cs new_tm_c new_ty_cs strict_arg_tys = do
Just delta -> do
-- We know that the term and type constraints are inhabitable, so now
-- check if each strict argument type is inhabitable.
- non_voids <- traverse (nonVoid delta) strict_arg_tys
- pure $ if and non_voids -- Check if each strict argument type
- -- is inhabitable
+ all_non_void <- checkAllNonVoid initRecTc delta strict_arg_tys
+ pure $ if all_non_void -- Check if each strict argument type
+ -- is inhabitable
then Just delta
else Nothing
-- | Like 'pmIsSatisfiable', but only checks if term and type constraints are
-- satisfiable, and doesn't bother checking anything related to strict argument
--- types. It's handy to have this factored out into is own function since term
--- and type constraints are the only forms of constraints that are checked for
--- each 'InhabitationCandidate' in 'nonVoid'
--- (as discussed in @Note [Extensions to GADTs Meet Their Match]@).
+-- types.
tmTyCsAreSatisfiable
:: Delta -- ^ The ambient term and type constraints
-- (known to be satisfiable).
@@ -642,38 +639,85 @@ tmTyCsAreSatisfiable
, delta_tm_cs = term_cs }
_unsat -> Nothing
+-- | Implements two performance optimizations, as described in the
+-- \"Strict argument type constraints\" section of
+-- @Note [Extensions to GADTs Meet Their Match]@.
+checkAllNonVoid :: RecTcChecker -> Delta -> [Type] -> PmM Bool
+checkAllNonVoid rec_ts amb_cs strict_arg_tys = do
+ fam_insts <- liftD dsGetFamInstEnvs
+ let tys_to_check = filterOut (definitelyInhabitedType fam_insts)
+ strict_arg_tys
+ rec_max_bound | tys_to_check `lengthExceeds` 1
+ = 1
+ | otherwise
+ = defaultRecTcMaxBound
+ rec_ts' = setRecTcMaxBound rec_max_bound rec_ts
+ allM (nonVoid rec_ts' amb_cs) tys_to_check
+
-- | Checks if a strict argument type of a conlike is inhabitable by a
-- terminating value (i.e, an 'InhabitationCandidate').
-- See @Note [Extensions to GADTs Meet Their Match]@.
nonVoid
- :: Delta -- ^ The ambient term/type constraints (known to be satisfiable).
- -> Type -- ^ The strict argument type.
- -> PmM Bool -- ^ 'True' if the strict argument type might be inhabited by a
- -- terminating value (i.e., an 'InhabitationCandidate').
- -- 'False' if it is definitely uninhabitable by anything
- -- (except bottom).
-nonVoid amb_cs strict_arg_ty = do
+ :: RecTcChecker -- ^ The per-'TyCon' recursion depth limit.
+ -> Delta -- ^ The ambient term/type constraints (known to be
+ -- satisfiable).
+ -> Type -- ^ The strict argument type.
+ -> PmM Bool -- ^ 'True' if the strict argument type might be inhabited by
+ -- a terminating value (i.e., an 'InhabitationCandidate').
+ -- 'False' if it is definitely uninhabitable by anything
+ -- (except bottom).
+nonVoid rec_ts amb_cs strict_arg_ty = do
fam_insts <- liftD dsGetFamInstEnvs
mb_cands <- inhabitationCandidates fam_insts strict_arg_ty
case mb_cands of
- Left _ -> pure True -- The type is trivially inhabited
- Right cands -> do
- cand_inhabs <- traverse cand_tm_ty_cs_are_satisfiable cands
- pure $ or cand_inhabs
- -- A strict argument type is inhabitable by a terminating value if at
- -- least one InhabitationCandidate is satisfiable
+ Right (tc, cands)
+ | Just rec_ts' <- checkRecTc rec_ts tc
+ -> anyM (cand_is_inhabitable rec_ts' amb_cs) cands
+ -- A strict argument type is inhabitable by a terminating value if
+ -- at least one InhabitationCandidate is inhabitable.
+ _ -> pure True
+ -- Either the type is trivially inhabited or we have exceeded the
+ -- recursion depth for some TyCon (so bail out and conservatively
+ -- claim the type is inhabited).
where
- -- Checks if an InhabitationCandidate for a strict argument type has
- -- satisfiable term and type constraints. We deliberately don't call
- -- nonVoid on the InhabitationCandidate's own strict argument types, since
- -- that can result in infinite loops.
+ -- Checks if an InhabitationCandidate for a strict argument type:
+ --
+ -- (1) Has satisfiable term and type constraints.
+ -- (2) Has 'nonVoid' strict argument types (we bail out of this
+ -- check if recursion is detected).
+ --
-- See Note [Extensions to GADTs Meet Their Match]
- cand_tm_ty_cs_are_satisfiable :: InhabitationCandidate -> PmM Bool
- cand_tm_ty_cs_are_satisfiable
- (InhabitationCandidate{ ic_tm_ct = new_term_c
- , ic_ty_cs = new_ty_cs }) = do
+ cand_is_inhabitable :: RecTcChecker -> Delta
+ -> InhabitationCandidate -> PmM Bool
+ cand_is_inhabitable rec_ts amb_cs
+ (InhabitationCandidate{ ic_tm_ct = new_term_c
+ , ic_ty_cs = new_ty_cs
+ , ic_strict_arg_tys = new_strict_arg_tys }) = do
mb_sat <- tmTyCsAreSatisfiable amb_cs new_term_c new_ty_cs
- pure $ isJust mb_sat
+ case mb_sat of
+ Nothing -> pure False
+ Just new_delta -> do
+ checkAllNonVoid rec_ts new_delta new_strict_arg_tys
+
+-- | @'definitelyInhabitedType' ty@ returns 'True' if @ty@ has at least one
+-- constructor @C@ such that:
+--
+-- 1. @C@ has no equality constraints.
+-- 2. @C@ has no strict argument types.
+--
+-- See the \"Strict argument type constraints\" section of
+-- @Note [Extensions to GADTs Meet Their Match]@.
+definitelyInhabitedType :: FamInstEnvs -> Type -> Bool
+definitelyInhabitedType env ty
+ | Just (_, cons, _) <- pmTopNormaliseType_maybe env ty
+ = any meets_criteria cons
+ | otherwise
+ = False
+ where
+ meets_criteria :: DataCon -> Bool
+ meets_criteria con =
+ null (dataConEqSpec con) && -- (1)
+ null (dataConImplBangs con) -- (2)
{- Note [Type normalisation for EmptyCase]
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
@@ -733,7 +777,7 @@ Which means that in source Haskell:
-- one accompanied by the term- and type- constraints it gives rise to.
-- See also Note [Checking EmptyCase Expressions]
inhabitationCandidates :: FamInstEnvs -> Type
- -> PmM (Either Type [InhabitationCandidate])
+ -> PmM (Either Type (TyCon, [InhabitationCandidate]))
inhabitationCandidates fam_insts ty
= case pmTopNormaliseType_maybe fam_insts ty of
Just (src_ty, dcs, core_ty) -> alts_to_check src_ty core_ty dcs
@@ -751,7 +795,7 @@ inhabitationCandidates fam_insts ty
-- Inhabitation candidates, using the result of pmTopNormaliseType_maybe
alts_to_check :: Type -> Type -> [DataCon]
- -> PmM (Either Type [InhabitationCandidate])
+ -> PmM (Either Type (TyCon, [InhabitationCandidate]))
alts_to_check src_ty core_ty dcs = case splitTyConApp_maybe core_ty of
Just (tc, _)
| tc `elem` trivially_inhabited
@@ -759,9 +803,9 @@ inhabitationCandidates fam_insts ty
[] -> return (Left src_ty)
(_:_) -> do var <- liftD $ mkPmId core_ty
let va = build_tm (PmVar var) dcs
- return $ Right [InhabitationCandidate
+ return $ Right (tc, [InhabitationCandidate
{ ic_val_abs = va, ic_tm_ct = mkIdEq var
- , ic_ty_cs = emptyBag, ic_strict_arg_tys = [] }]
+ , ic_ty_cs = emptyBag, ic_strict_arg_tys = [] }])
| pmIsClosedType core_ty && not (isAbstractTyCon tc)
-- Don't consider abstract tycons since we don't know what their
@@ -770,8 +814,9 @@ inhabitationCandidates fam_insts ty
-> liftD $ do
var <- mkPmId core_ty -- it would be wrong to unify x
alts <- mapM (mkOneConFull var . RealDataCon) (tyConDataCons tc)
- return $ Right [ alt{ic_val_abs = build_tm (ic_val_abs alt) dcs}
- | alt <- alts ]
+ return $ Right
+ (tc, [ alt{ic_val_abs = build_tm (ic_val_abs alt) dcs}
+ | alt <- alts ])
-- For other types conservatively assume that they are inhabited.
_other -> return (Left src_ty)
@@ -1419,7 +1464,8 @@ determine whether a strict type is inhabitable by a terminating value or not.
`nonVoid ty` returns True when either:
1. `ty` has at least one InhabitationCandidate for which both its term and type
- constraints are satifiable.
+ constraints are satifiable, and `nonVoid` returns `True` for all of the
+ strict argument types in that InhabitationCandidate.
2. We're unsure if it's inhabited by a terminating value.
`nonVoid ty` returns False when `ty` is definitely uninhabited by anything
@@ -1433,12 +1479,19 @@ determine whether a strict type is inhabitable by a terminating value or not.
* `nonVoid (Int :~: Bool)` returns False. Although it has an
InhabitationCandidate (by way of Refl), its type constraint (Int ~ Bool) is
not satisfiable.
+* Given the following definition of `MyVoid`:
+
+ data MyVoid = MkMyVoid !Void
-Observe that the definition of `nonVoid ty` does not say whether `ty`'s
-InhabitationCandidate must itself have `nonVoid` return True for all its own
-strict argument types. This is a deliberate choice, because trying to take
-these into account in a naïve way can lead to infinite loops. Consider the
-following example:
+ `nonVoid MyVoid` returns False. The InhabitationCandidate for the MkMyVoid
+ constructor contains Void as a strict argument type, and since `nonVoid Void`
+ returns False, that InhabitationCandidate is discarded, leaving no others.
+
+* Performance considerations
+
+We must be careful when recursively calling `nonVoid` on the strict argument
+types of an InhabitationCandidate, because doing so naïvely can cause GHC to
+fall into an infinite loop. Consider the following example:
data Abyss = MkAbyss !Abyss
@@ -1453,13 +1506,53 @@ There is only one InhabitationCandidate for Abyss—MkAbyss—and both its term
and type constraints are satisfiable, so we'd need to check if `nonVoid Abyss`
returns False... and now we've entered an infinite loop!
-To avoid this sort of conundrum, `nonVoid ty` doesn't call `nonVoid` on any of
-the strict argument types of `ty`'s InhabitationCandidates. This means
-that `nonVoid` is incomplete. For instance, GHC will warn that
-stareIntoTheAbyss is non-exhaustive, even though it actually is. Properly
-detecting that stareIntoTheAbyss is non-exhaustive would require a much more
-sophisticated implementation for `nonVoid`, however, so for now we simply
-implement the current, more straightforward approach.
+To avoid this sort of conundrum, `nonVoid` uses a simple test to detect the
+presence of recursive types (through `checkRecTc`), and if recursion is
+detected, we bail out and conservatively assume that the type is inhabited by
+some terminating value. This avoids infinite loops at the expense of making
+the coverage checker incomplete with respect to functions like
+stareIntoTheAbyss above. Then again, the same problem occurs with recursive
+newtypes, like in the following code:
+
+ newtype Chasm = MkChasm Chasm
+
+ gazeIntoTheChasm :: Chasm -> a
+ gazeIntoTheChasm x = case x of {} -- Erroneously warned as non-exhaustive
+
+So this limitation is somewhat understandable.
+
+Note that even with this recursion detection, there is still a possibility that
+`nonVoid` can run in exponential time. Consider the following data type:
+
+ data T = MkT !T !T !T
+
+If we call `nonVoid` on each of its fields, that will require us to once again
+check if `MkT` is inhabitable in each of those three fields, which in turn will
+require us to check if `MkT` is inhabitable again... As you can see, the
+branching factor adds up quickly, and if the recursion depth limit is, say,
+100, then `nonVoid T` will effectively take forever.
+
+To mitigate this, we check the branching factor every time we are about to call
+`nonVoid` on a list of strict argument types. If the branching factor exceeds 1
+(i.e., if there is potential for exponential runtime), then we limit the
+maximum recursion depth to 1 to mitigate the problem. If the branching factor
+is exactly 1 (i.e., we have a linear chain instead of a tree), then it's okay
+to stick with a larger maximum recursion depth.
+
+Another microoptimization applies to data types like this one:
+
+ data S a = ![a] !T
+
+Even though there is a strict field of type [a], it's quite silly to call
+nonVoid on it, since it's "obvious" that it is inhabitable. To make this
+intuition formal, we say that a type is definitely inhabitable (DI) if:
+
+ * It has at least one constructor C such that:
+ 1. C has no equality constraints (since they might be unsatisfiable)
+ 2. C has no strict argument types (since they might be uninhabitable)
+
+It's relatively cheap to cheap if a type is DI, so before we call `nonVoid`
+on a list of strict argument types, we filter out all of the DI ones.
-}
instance Outputable InhabitationCandidate where