{-# LANGUAGE CPP #-}
module TcSimplify(
simplifyInfer, InferMode(..),
growThetaTyVars,
simplifyAmbiguityCheck,
simplifyDefault,
simplifyTop, simplifyTopImplic, captureTopConstraints,
simplifyInteractive, solveEqualities,
simplifyWantedsTcM,
tcCheckSatisfiability,
tcSubsumes,
-- For Rules we need these
solveWanteds, solveWantedsAndDrop,
approximateWC, runTcSDeriveds
) where
#include "HsVersions.h"
import GhcPrelude
import Bag
import Class ( Class, classKey, classTyCon )
import DynFlags ( WarningFlag ( Opt_WarnMonomorphism )
, WarnReason ( Reason )
, DynFlags( solverIterations ) )
import Id ( idType )
import Inst
import ListSetOps
import Maybes
import Name
import Outputable
import PrelInfo
import PrelNames
import TcErrors
import TcEvidence
import TcInteract
import TcCanonical ( makeSuperClasses, solveCallStack )
import TcMType as TcM
import TcRnMonad as TcM
import TcSMonad as TcS
import TcType
import TrieMap () -- DV: for now
import Type
import TysWiredIn ( liftedRepTy )
import Unify ( tcMatchTyKi )
import TcUnify ( tcSubType_NC )
import Util
import Var
import VarSet
import UniqSet
import BasicTypes ( IntWithInf, intGtLimit )
import ErrUtils ( emptyMessages )
import qualified GHC.LanguageExtensions as LangExt
import Control.Monad
import Data.Foldable ( toList )
import Data.List ( partition )
import Data.List.NonEmpty ( NonEmpty(..) )
{-
*********************************************************************************
* *
* External interface *
* *
*********************************************************************************
-}
captureTopConstraints :: TcM a -> TcM (a, WantedConstraints)
-- (captureTopConstraints m) runs m, and returns the type constraints it
-- generates plus the constraints produced by static forms inside.
-- If it fails with an exception, it reports any insolubles
-- (out of scope variables) before doing so
captureTopConstraints thing_inside
= do { static_wc_var <- TcM.newTcRef emptyWC ;
; (mb_res, lie) <- TcM.updGblEnv (\env -> env { tcg_static_wc = static_wc_var } ) $
TcM.tryCaptureConstraints thing_inside
; stWC <- TcM.readTcRef static_wc_var
-- See TcRnMonad Note [Constraints and errors]
-- If the thing_inside threw an exception, but generated some insoluble
-- constraints, report the latter before propagating the exception
-- Otherwise they will be lost altogether
; case mb_res of
Right res -> return (res, lie `andWC` stWC)
Left {} -> do { _ <- reportUnsolved lie; failM } }
-- This call to reportUnsolved is the reason
-- this function is here instead of TcRnMonad
simplifyTopImplic :: Bag Implication -> TcM ()
simplifyTopImplic implics
= do { empty_binds <- simplifyTop (mkImplicWC implics)
-- Since all the inputs are implications the returned bindings will be empty
; MASSERT2( isEmptyBag empty_binds, ppr empty_binds )
; return () }
simplifyTop :: WantedConstraints -> TcM (Bag EvBind)
-- Simplify top-level constraints
-- Usually these will be implications,
-- but when there is nothing to quantify we don't wrap
-- in a degenerate implication, so we do that here instead
simplifyTop wanteds
= do { traceTc "simplifyTop {" $ text "wanted = " <+> ppr wanteds
; ((final_wc, unsafe_ol), binds1) <- runTcS $
do { final_wc <- simpl_top wanteds
; unsafe_ol <- getSafeOverlapFailures
; return (final_wc, unsafe_ol) }
; traceTc "End simplifyTop }" empty
; traceTc "reportUnsolved {" empty
; binds2 <- reportUnsolved final_wc
; traceTc "reportUnsolved }" empty
; traceTc "reportUnsolved (unsafe overlapping) {" empty
; unless (isEmptyCts unsafe_ol) $ do {
-- grab current error messages and clear, warnAllUnsolved will
-- update error messages which we'll grab and then restore saved
-- messages.
; errs_var <- getErrsVar
; saved_msg <- TcM.readTcRef errs_var
; TcM.writeTcRef errs_var emptyMessages
; warnAllUnsolved $ WC { wc_simple = unsafe_ol
, wc_impl = emptyBag }
; whyUnsafe <- fst <$> TcM.readTcRef errs_var
; TcM.writeTcRef errs_var saved_msg
; recordUnsafeInfer whyUnsafe
}
; traceTc "reportUnsolved (unsafe overlapping) }" empty
; return (evBindMapBinds binds1 `unionBags` binds2) }
-- | Type-check a thing that emits only equality constraints, then
-- solve those constraints. Fails outright if there is trouble.
solveEqualities :: TcM a -> TcM a
solveEqualities thing_inside
= checkNoErrs $ -- See Note [Fail fast on kind errors]
do { (result, wanted) <- captureConstraints thing_inside
; traceTc "solveEqualities {" $ text "wanted = " <+> ppr wanted
; final_wc <- runTcSEqualities $ simpl_top wanted
; traceTc "End solveEqualities }" empty
; traceTc "reportAllUnsolved {" empty
; reportAllUnsolved final_wc
; traceTc "reportAllUnsolved }" empty
; return result }
simpl_top :: WantedConstraints -> TcS WantedConstraints
-- See Note [Top-level Defaulting Plan]
simpl_top wanteds
= do { wc_first_go <- nestTcS (solveWantedsAndDrop wanteds)
-- This is where the main work happens
; try_tyvar_defaulting wc_first_go }
where
try_tyvar_defaulting :: WantedConstraints -> TcS WantedConstraints
try_tyvar_defaulting wc
| isEmptyWC wc
= return wc
| otherwise
= do { free_tvs <- TcS.zonkTyCoVarsAndFVList (tyCoVarsOfWCList wc)
; let meta_tvs = filter (isTyVar <&&> isMetaTyVar) free_tvs
-- zonkTyCoVarsAndFV: the wc_first_go is not yet zonked
-- filter isMetaTyVar: we might have runtime-skolems in GHCi,
-- and we definitely don't want to try to assign to those!
-- The isTyVar is needed to weed out coercion variables
; defaulted <- mapM defaultTyVarTcS meta_tvs -- Has unification side effects
; if or defaulted
then do { wc_residual <- nestTcS (solveWanteds wc)
-- See Note [Must simplify after defaulting]
; try_class_defaulting wc_residual }
else try_class_defaulting wc } -- No defaulting took place
try_class_defaulting :: WantedConstraints -> TcS WantedConstraints
try_class_defaulting wc
| isEmptyWC wc
= return wc
| otherwise -- See Note [When to do type-class defaulting]
= do { something_happened <- applyDefaultingRules wc
-- See Note [Top-level Defaulting Plan]
; if something_happened
then do { wc_residual <- nestTcS (solveWantedsAndDrop wc)
; try_class_defaulting wc_residual }
-- See Note [Overview of implicit CallStacks] in TcEvidence
else try_callstack_defaulting wc }
try_callstack_defaulting :: WantedConstraints -> TcS WantedConstraints
try_callstack_defaulting wc
| isEmptyWC wc
= return wc
| otherwise
= defaultCallStacks wc
-- | Default any remaining @CallStack@ constraints to empty @CallStack@s.
defaultCallStacks :: WantedConstraints -> TcS WantedConstraints
-- See Note [Overview of implicit CallStacks] in TcEvidence
defaultCallStacks wanteds
= do simples <- handle_simples (wc_simple wanteds)
mb_implics <- mapBagM handle_implic (wc_impl wanteds)
return (wanteds { wc_simple = simples
, wc_impl = catBagMaybes mb_implics })
where
handle_simples simples
= catBagMaybes <$> mapBagM defaultCallStack simples
handle_implic :: Implication -> TcS (Maybe Implication)
-- The Maybe is because solving the CallStack constraint
-- may well allow us to discard the implication entirely
handle_implic implic
| isSolvedStatus (ic_status implic)
= return (Just implic)
| otherwise
= do { wanteds <- setEvBindsTcS (ic_binds implic) $
-- defaultCallStack sets a binding, so
-- we must set the correct binding group
defaultCallStacks (ic_wanted implic)
; setImplicationStatus (implic { ic_wanted = wanteds }) }
defaultCallStack ct
| ClassPred cls tys <- classifyPredType (ctPred ct)
, Just {} <- isCallStackPred cls tys
= do { solveCallStack (cc_ev ct) EvCsEmpty
; return Nothing }
defaultCallStack ct
= return (Just ct)
{- Note [Fail fast on kind errors]
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
solveEqualities is used to solve kind equalities when kind-checking
user-written types. If solving fails we should fail outright, rather
than just accumulate an error message, for two reasons:
* A kind-bogus type signature may cause a cascade of knock-on
errors if we let it pass
* More seriously, we don't have a convenient term-level place to add
deferred bindings for unsolved kind-equality constraints, so we
don't build evidence bindings (by usine reportAllUnsolved). That
means that we'll be left with with a type that has coercion holes
in it, something like
|> co-hole
where co-hole is not filled in. Eeek! That un-filled-in
hole actually causes GHC to crash with "fvProv falls into a hole"
See Trac #11563, #11520, #11516, #11399
So it's important to use 'checkNoErrs' here!
Note [When to do type-class defaulting]
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
In GHC 7.6 and 7.8.2, we did type-class defaulting only if insolubleWC
was false, on the grounds that defaulting can't help solve insoluble
constraints. But if we *don't* do defaulting we may report a whole
lot of errors that would be solved by defaulting; these errors are
quite spurious because fixing the single insoluble error means that
defaulting happens again, which makes all the other errors go away.
This is jolly confusing: Trac #9033.
So it seems better to always do type-class defaulting.
However, always doing defaulting does mean that we'll do it in
situations like this (Trac #5934):
run :: (forall s. GenST s) -> Int
run = fromInteger 0
We don't unify the return type of fromInteger with the given function
type, because the latter involves foralls. So we're left with
(Num alpha, alpha ~ (forall s. GenST s) -> Int)
Now we do defaulting, get alpha := Integer, and report that we can't
match Integer with (forall s. GenST s) -> Int. That's not totally
stupid, but perhaps a little strange.
Another potential alternative would be to suppress *all* non-insoluble
errors if there are *any* insoluble errors, anywhere, but that seems
too drastic.
Note [Must simplify after defaulting]
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
We may have a deeply buried constraint
(t:*) ~ (a:Open)
which we couldn't solve because of the kind incompatibility, and 'a' is free.
Then when we default 'a' we can solve the constraint. And we want to do
that before starting in on type classes. We MUST do it before reporting
errors, because it isn't an error! Trac #7967 was due to this.
Note [Top-level Defaulting Plan]
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
We have considered two design choices for where/when to apply defaulting.
(i) Do it in SimplCheck mode only /whenever/ you try to solve some
simple constraints, maybe deep inside the context of implications.
This used to be the case in GHC 7.4.1.
(ii) Do it in a tight loop at simplifyTop, once all other constraints have
finished. This is the current story.
Option (i) had many disadvantages:
a) Firstly, it was deep inside the actual solver.
b) Secondly, it was dependent on the context (Infer a type signature,
or Check a type signature, or Interactive) since we did not want
to always start defaulting when inferring (though there is an exception to
this, see Note [Default while Inferring]).
c) It plainly did not work. Consider typecheck/should_compile/DfltProb2.hs:
f :: Int -> Bool
f x = const True (\y -> let w :: a -> a
w a = const a (y+1)
in w y)
We will get an implication constraint (for beta the type of y):
[untch=beta] forall a. 0 => Num beta
which we really cannot default /while solving/ the implication, since beta is
untouchable.
Instead our new defaulting story is to pull defaulting out of the solver loop and
go with option (ii), implemented at SimplifyTop. Namely:
- First, have a go at solving the residual constraint of the whole
program
- Try to approximate it with a simple constraint
- Figure out derived defaulting equations for that simple constraint
- Go round the loop again if you did manage to get some equations
Now, that has to do with class defaulting. However there exists type variable /kind/
defaulting. Again this is done at the top-level and the plan is:
- At the top-level, once you had a go at solving the constraint, do
figure out /all/ the touchable unification variables of the wanted constraints.
- Apply defaulting to their kinds
More details in Note [DefaultTyVar].
Note [Safe Haskell Overlapping Instances]
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
In Safe Haskell, we apply an extra restriction to overlapping instances. The
motive is to prevent untrusted code provided by a third-party, changing the
behavior of trusted code through type-classes. This is due to the global and
implicit nature of type-classes that can hide the source of the dictionary.
Another way to state this is: if a module M compiles without importing another
module N, changing M to import N shouldn't change the behavior of M.
Overlapping instances with type-classes can violate this principle. However,
overlapping instances aren't always unsafe. They are just unsafe when the most
selected dictionary comes from untrusted code (code compiled with -XSafe) and
overlaps instances provided by other modules.
In particular, in Safe Haskell at a call site with overlapping instances, we
apply the following rule to determine if it is a 'unsafe' overlap:
1) Most specific instance, I1, defined in an `-XSafe` compiled module.
2) I1 is an orphan instance or a MPTC.
3) At least one overlapped instance, Ix, is both:
A) from a different module than I1
B) Ix is not marked `OVERLAPPABLE`
This is a slightly involved heuristic, but captures the situation of an
imported module N changing the behavior of existing code. For example, if
condition (2) isn't violated, then the module author M must depend either on a
type-class or type defined in N.
Secondly, when should these heuristics be enforced? We enforced them when the
type-class method call site is in a module marked `-XSafe` or `-XTrustworthy`.
This allows `-XUnsafe` modules to operate without restriction, and for Safe
Haskell inferrence to infer modules with unsafe overlaps as unsafe.
One alternative design would be to also consider if an instance was imported as
a `safe` import or not and only apply the restriction to instances imported
safely. However, since instances are global and can be imported through more
than one path, this alternative doesn't work.
Note [Safe Haskell Overlapping Instances Implementation]
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
How is this implemented? It's complicated! So we'll step through it all:
1) `InstEnv.lookupInstEnv` -- Performs instance resolution, so this is where
we check if a particular type-class method call is safe or unsafe. We do this
through the return type, `ClsInstLookupResult`, where the last parameter is a
list of instances that are unsafe to overlap. When the method call is safe,
the list is null.
2) `TcInteract.matchClassInst` -- This module drives the instance resolution
/ dictionary generation. The return type is `LookupInstResult`, which either
says no instance matched, or one found, and if it was a safe or unsafe
overlap.
3) `TcInteract.doTopReactDict` -- Takes a dictionary / class constraint and
tries to resolve it by calling (in part) `matchClassInst`. The resolving
mechanism has a work list (of constraints) that it process one at a time. If
the constraint can't be resolved, it's added to an inert set. When compiling
an `-XSafe` or `-XTrustworthy` module, we follow this approach as we know
compilation should fail. These are handled as normal constraint resolution
failures from here-on (see step 6).
Otherwise, we may be inferring safety (or using `-Wunsafe`), and
compilation should succeed, but print warnings and/or mark the compiled module
as `-XUnsafe`. In this case, we call `insertSafeOverlapFailureTcS` which adds
the unsafe (but resolved!) constraint to the `inert_safehask` field of
`InertCans`.
4) `TcSimplify.simplifyTop`:
* Call simpl_top, the top-level function for driving the simplifier for
constraint resolution.
* Once finished, call `getSafeOverlapFailures` to retrieve the
list of overlapping instances that were successfully resolved,
but unsafe. Remember, this is only applicable for generating warnings
(`-Wunsafe`) or inferring a module unsafe. `-XSafe` and `-XTrustworthy`
cause compilation failure by not resolving the unsafe constraint at all.
* For unresolved constraints (all types), call `TcErrors.reportUnsolved`,
while for resolved but unsafe overlapping dictionary constraints, call
`TcErrors.warnAllUnsolved`. Both functions convert constraints into a
warning message for the user.
* In the case of `warnAllUnsolved` for resolved, but unsafe
dictionary constraints, we collect the generated warning
message (pop it) and call `TcRnMonad.recordUnsafeInfer` to
mark the module we are compiling as unsafe, passing the
warning message along as the reason.
5) `TcErrors.*Unsolved` -- Generates error messages for constraints by
actually calling `InstEnv.lookupInstEnv` again! Yes, confusing, but all we
know is the constraint that is unresolved or unsafe. For dictionary, all we
know is that we need a dictionary of type C, but not what instances are
available and how they overlap. So we once again call `lookupInstEnv` to
figure that out so we can generate a helpful error message.
6) `TcRnMonad.recordUnsafeInfer` -- Save the unsafe result and reason in an
IORef called `tcg_safeInfer`.
7) `HscMain.tcRnModule'` -- Reads `tcg_safeInfer` after type-checking, calling
`HscMain.markUnsafeInfer` (passing the reason along) when safe-inferrence
failed.
Note [No defaulting in the ambiguity check]
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
When simplifying constraints for the ambiguity check, we use
solveWantedsAndDrop, not simpl_top, so that we do no defaulting.
Trac #11947 was an example:
f :: Num a => Int -> Int
This is ambiguous of course, but we don't want to default the
(Num alpha) constraint to (Num Int)! Doing so gives a defaulting
warning, but no error.
-}
------------------
simplifyAmbiguityCheck :: Type -> WantedConstraints -> TcM ()
simplifyAmbiguityCheck ty wanteds
= do { traceTc "simplifyAmbiguityCheck {" (text "type = " <+> ppr ty $$ text "wanted = " <+> ppr wanteds)
; (final_wc, _) <- runTcS $ solveWantedsAndDrop wanteds
-- NB: no defaulting! See Note [No defaulting in the ambiguity check]
; traceTc "End simplifyAmbiguityCheck }" empty
-- Normally report all errors; but with -XAllowAmbiguousTypes
-- report only insoluble ones, since they represent genuinely
-- inaccessible code
; allow_ambiguous <- xoptM LangExt.AllowAmbiguousTypes
; traceTc "reportUnsolved(ambig) {" empty
; unless (allow_ambiguous && not (insolubleWC final_wc))
(discardResult (reportUnsolved final_wc))
; traceTc "reportUnsolved(ambig) }" empty
; return () }
------------------
simplifyInteractive :: WantedConstraints -> TcM (Bag EvBind)
simplifyInteractive wanteds
= traceTc "simplifyInteractive" empty >>
simplifyTop wanteds
------------------
simplifyDefault :: ThetaType -- Wanted; has no type variables in it
-> TcM () -- Succeeds if the constraint is soluble
simplifyDefault theta
= do { traceTc "simplifyDefault" empty
; wanteds <- newWanteds DefaultOrigin theta
; unsolved <- runTcSDeriveds (solveWantedsAndDrop (mkSimpleWC wanteds))
; traceTc "reportUnsolved {" empty
; reportAllUnsolved unsolved
; traceTc "reportUnsolved }" empty
; return () }
-- | Reports whether first type (ty_a) subsumes the second type (ty_b),
-- discarding any errors. Subsumption here means that the ty_b can fit into the
-- ty_a, i.e. `tcSubsumes a b == True` if b is a subtype of a.
-- N.B.: Make sure that the types contain all the constraints
-- contained in any associated implications.
tcSubsumes :: TcSigmaType -> TcSigmaType -> TcM Bool
tcSubsumes ty_a ty_b | ty_a `eqType` ty_b = return True
tcSubsumes ty_a ty_b = discardErrs $
do { (_, wanted, _) <- pushLevelAndCaptureConstraints $
tcSubType_NC ExprSigCtxt ty_b ty_a
; (rem, _) <- runTcS (simpl_top wanted)
-- We don't want any insoluble or simple constraints left,
-- but solved implications are ok (and neccessary for e.g. undefined)
; return (isEmptyBag (wc_simple rem)
&& allBag (isSolvedStatus . ic_status) (wc_impl rem))
}
------------------
tcCheckSatisfiability :: Bag EvVar -> TcM Bool
-- Return True if satisfiable, False if definitely contradictory
tcCheckSatisfiability given_ids
= do { lcl_env <- TcM.getLclEnv
; let given_loc = mkGivenLoc topTcLevel UnkSkol lcl_env
; (res, _ev_binds) <- runTcS $
do { traceTcS "checkSatisfiability {" (ppr given_ids)
; let given_cts = mkGivens given_loc (bagToList given_ids)
-- See Note [Superclasses and satisfiability]
; solveSimpleGivens given_cts
; insols <- getInertInsols
; insols <- try_harder insols
; traceTcS "checkSatisfiability }" (ppr insols)
; return (isEmptyBag insols) }
; return res }
where
try_harder :: Cts -> TcS Cts
-- Maybe we have to search up the superclass chain to find
-- an unsatisfiable constraint. Example: pmcheck/T3927b.
-- At the moment we try just once
try_harder insols
| not (isEmptyBag insols) -- We've found that it's definitely unsatisfiable
= return insols -- Hurrah -- stop now.
| otherwise
= do { pending_given <- getPendingScDicts
; new_given <- makeSuperClasses pending_given
; solveSimpleGivens new_given
; getInertInsols }
{- Note [Superclasses and satisfiability]
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
Expand superclasses before starting, because (Int ~ Bool), has
(Int ~~ Bool) as a superclass, which in turn has (Int ~N# Bool)
as a superclass, and it's the latter that is insoluble. See
Note [The equality types story] in TysPrim.
If we fail to prove unsatisfiability we (arbitrarily) try just once to
find superclasses, using try_harder. Reason: we might have a type
signature
f :: F op (Implements push) => ..
where F is a type function. This happened in Trac #3972.
We could do more than once but we'd have to have /some/ limit: in the
the recursive case, we would go on forever in the common case where
the constraints /are/ satisfiable (Trac #10592 comment:12!).
For stratightforard situations without type functions the try_harder
step does nothing.
***********************************************************************************
* *
* Inference
* *
***********************************************************************************
Note [Inferring the type of a let-bound variable]
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
Consider
f x = rhs
To infer f's type we do the following:
* Gather the constraints for the RHS with ambient level *one more than*
the current one. This is done by the call
pushLevelAndCaptureConstraints (tcMonoBinds...)
in TcBinds.tcPolyInfer
* Call simplifyInfer to simplify the constraints and decide what to
quantify over. We pass in the level used for the RHS constraints,
here called rhs_tclvl.
This ensures that the implication constraint we generate, if any,
has a strictly-increased level compared to the ambient level outside
the let binding.
-}
-- | How should we choose which constraints to quantify over?
data InferMode = ApplyMR -- ^ Apply the monomorphism restriction,
-- never quantifying over any constraints
| EagerDefaulting -- ^ See Note [TcRnExprMode] in TcRnDriver,
-- the :type +d case; this mode refuses
-- to quantify over any defaultable constraint
| NoRestrictions -- ^ Quantify over any constraint that
-- satisfies TcType.pickQuantifiablePreds
instance Outputable InferMode where
ppr ApplyMR = text "ApplyMR"
ppr EagerDefaulting = text "EagerDefaulting"
ppr NoRestrictions = text "NoRestrictions"
simplifyInfer :: TcLevel -- Used when generating the constraints
-> InferMode
-> [TcIdSigInst] -- Any signatures (possibly partial)
-> [(Name, TcTauType)] -- Variables to be generalised,
-- and their tau-types
-> WantedConstraints
-> TcM ([TcTyVar], -- Quantify over these type variables
[EvVar], -- ... and these constraints (fully zonked)
TcEvBinds, -- ... binding these evidence variables
Bool) -- True <=> there was an insoluble type error
-- in these bindings
simplifyInfer rhs_tclvl infer_mode sigs name_taus wanteds
| isEmptyWC wanteds
= do { gbl_tvs <- tcGetGlobalTyCoVars
; dep_vars <- zonkTcTypesAndSplitDepVars (map snd name_taus)
; qtkvs <- quantifyTyVars gbl_tvs dep_vars
; traceTc "simplifyInfer: empty WC" (ppr name_taus $$ ppr qtkvs)
; return (qtkvs, [], emptyTcEvBinds, False) }
| otherwise
= do { traceTc "simplifyInfer {" $ vcat
[ text "sigs =" <+> ppr sigs
, text "binds =" <+> ppr name_taus
, text "rhs_tclvl =" <+> ppr rhs_tclvl
, text "infer_mode =" <+> ppr infer_mode
, text "(unzonked) wanted =" <+> ppr wanteds
]
; let partial_sigs = filter isPartialSig sigs
psig_theta = concatMap sig_inst_theta partial_sigs
-- First do full-blown solving
-- NB: we must gather up all the bindings from doing
-- this solving; hence (runTcSWithEvBinds ev_binds_var).
-- And note that since there are nested implications,
-- calling solveWanteds will side-effect their evidence
-- bindings, so we can't just revert to the input
-- constraint.
; tc_lcl_env <- TcM.getLclEnv
; ev_binds_var <- TcM.newTcEvBinds
; psig_theta_vars <- mapM TcM.newEvVar psig_theta
; wanted_transformed_incl_derivs
<- setTcLevel rhs_tclvl $
runTcSWithEvBinds ev_binds_var $
do { let loc = mkGivenLoc rhs_tclvl UnkSkol tc_lcl_env
psig_givens = mkGivens loc psig_theta_vars
; _ <- solveSimpleGivens psig_givens
-- See Note [Add signature contexts as givens]
; wanteds' <- solveWanteds wanteds
; TcS.zonkWC wanteds' }
-- Find quant_pred_candidates, the predicates that
-- we'll consider quantifying over
-- NB1: wanted_transformed does not include anything provable from
-- the psig_theta; it's just the extra bit
-- NB2: We do not do any defaulting when inferring a type, this can lead
-- to less polymorphic types, see Note [Default while Inferring]
; let definite_error = insolubleWC wanted_transformed_incl_derivs
-- See Note [Quantification with errors]
-- NB: must include derived errors in this test,
-- hence "incl_derivs"
wanted_transformed = dropDerivedWC wanted_transformed_incl_derivs
quant_pred_candidates
| definite_error = []
| otherwise = ctsPreds (approximateWC False wanted_transformed)
-- Decide what type variables and constraints to quantify
-- NB: quant_pred_candidates is already fully zonked
-- NB: bound_theta are constraints we want to quantify over,
-- /apart from/ the psig_theta, which we always quantify over
; (qtvs, bound_theta, co_vars) <- decideQuantification infer_mode rhs_tclvl
name_taus partial_sigs
quant_pred_candidates
-- We must retain the psig_theta_vars, because we've used them in
-- evidence bindings constructed by solveWanteds earlier
; psig_theta_vars <- mapM zonkId psig_theta_vars
; bound_theta_vars <- mapM TcM.newEvVar bound_theta
; let full_theta_vars = psig_theta_vars ++ bound_theta_vars
; emitResidualConstraints rhs_tclvl tc_lcl_env ev_binds_var
name_taus co_vars qtvs
full_theta_vars wanted_transformed
-- All done!
; traceTc "} simplifyInfer/produced residual implication for quantification" $
vcat [ text "quant_pred_candidates =" <+> ppr quant_pred_candidates
, text "psig_theta =" <+> ppr psig_theta
, text "bound_theta =" <+> ppr bound_theta
, text "full_theta =" <+> ppr (map idType full_theta_vars)
, text "qtvs =" <+> ppr qtvs
, text "definite_error =" <+> ppr definite_error ]
; return ( qtvs, full_theta_vars, TcEvBinds ev_binds_var, definite_error ) }
-- NB: full_theta_vars must be fully zonked
--------------------
emitResidualConstraints :: TcLevel -> TcLclEnv -> EvBindsVar
-> [(Name, TcTauType)]
-> VarSet -> [TcTyVar] -> [EvVar]
-> WantedConstraints -> TcM ()
-- Emit the remaining constraints from the RHS.
-- See Note [Emitting the residual implication in simplifyInfer]
emitResidualConstraints rhs_tclvl tc_lcl_env ev_binds_var
name_taus co_vars qtvs full_theta_vars wanteds
| isEmptyWC wanteds
= return ()
| otherwise
= do { wanted_simple <- TcM.zonkSimples (wc_simple wanteds)
; let (outer_simple, inner_simple) = partitionBag is_mono wanted_simple
is_mono ct = isWantedCt ct && ctEvId ct `elemVarSet` co_vars
; tc_lvl <- TcM.getTcLevel
; mapM_ (promoteTyVar tc_lvl) (tyCoVarsOfCtsList outer_simple)
; unless (isEmptyCts outer_simple) $
do { traceTc "emitResidualConstrants:simple" (ppr outer_simple)
; emitSimples outer_simple }
; let inner_wanted = wanteds { wc_simple = inner_simple }
implic = mk_implic inner_wanted
; unless (isEmptyWC inner_wanted) $
do { traceTc "emitResidualConstraints:implic" (ppr implic)
; emitImplication implic }
}
where
mk_implic inner_wanted
= Implic { ic_tclvl = rhs_tclvl
, ic_skols = qtvs
, ic_no_eqs = False
, ic_given = full_theta_vars
, ic_wanted = inner_wanted
, ic_status = IC_Unsolved
, ic_binds = ev_binds_var
, ic_info = skol_info
, ic_needed = emptyVarSet
, ic_env = tc_lcl_env }
full_theta = map idType full_theta_vars
skol_info = InferSkol [ (name, mkSigmaTy [] full_theta ty)
| (name, ty) <- name_taus ]
-- Don't add the quantified variables here, because
-- they are also bound in ic_skols and we want them
-- to be tidied uniformly
--------------------
ctsPreds :: Cts -> [PredType]
ctsPreds cts = [ ctEvPred ev | ct <- bagToList cts
, let ev = ctEvidence ct ]
{- Note [Emitting the residual implication in simplifyInfer]
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
Consider
f = e
where f's type is infeered to be something like (a, Proxy k (Int |> co))
and we have an as-yet-unsolved, or perhaps insoluble, constraint
[W] co :: Type ~ k
We can't form types like (forall co. blah), so we can't generalise over
the coercion variable, and hence we can't generalise over things free in
its kind, in the case 'k'. But we can still generalise over 'a'. So
we'll generalise to
f :: forall a. (a, Proxy k (Int |> co))
Now we do NOT want to form the residual implication constraint
forall a. [W] co :: Type ~ k
because then co's eventual binding (which will be a value binding if we
use -fdefer-type-errors) won't scope over the entire binding for 'f' (whose
type mentions 'co'). Instead, just as we don't generalise over 'co', we
should not bury its constraint inside the implication. Instead, we must
put it outside.
That is the reason for the partitionBag in emitResidualConstraints,
which takes the CoVars free in the inferred type, and pulls their
constraints out. (NB: this set of CoVars should be
closed-over-kinds.)
All rather subtle; see Trac #14584.
Note [Add signature contexts as givens]
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
Consider this (Trac #11016):
f2 :: (?x :: Int) => _
f2 = ?x
or this
f3 :: a ~ Bool => (a, _)
f3 = (True, False)
or theis
f4 :: (Ord a, _) => a -> Bool
f4 x = x==x
We'll use plan InferGen because there are holes in the type. But:
* For f2 we want to have the (?x :: Int) constraint floating around
so that the functional dependencies kick in. Otherwise the
occurrence of ?x on the RHS produces constraint (?x :: alpha), and
we won't unify alpha:=Int.
* For f3 we want the (a ~ Bool) available to solve the wanted (a ~ Bool)
in the RHS
* For f4 we want to use the (Ord a) in the signature to solve the Eq a
constraint.
Solution: in simplifyInfer, just before simplifying the constraints
gathered from the RHS, add Given constraints for the context of any
type signatures.
************************************************************************
* *
Quantification
* *
************************************************************************
Note [Deciding quantification]
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
If the monomorphism restriction does not apply, then we quantify as follows:
* Step 1. Take the global tyvars, and "grow" them using the equality
constraints
E.g. if x:alpha is in the environment, and alpha ~ [beta] (which can
happen because alpha is untouchable here) then do not quantify over
beta, because alpha fixes beta, and beta is effectively free in
the environment too
We also account for the monomorphism restriction; if it applies,
add the free vars of all the constraints.
Result is mono_tvs; we will not quantify over these.
* Step 2. Default any non-mono tyvars (i.e ones that are definitely
not going to become further constrained), and re-simplify the
candidate constraints.
Motivation for re-simplification (Trac #7857): imagine we have a
constraint (C (a->b)), where 'a :: TYPE l1' and 'b :: TYPE l2' are
not free in the envt, and instance forall (a::*) (b::*). (C a) => C
(a -> b) The instance doesn't match while l1,l2 are polymorphic, but
it will match when we default them to LiftedRep.
This is all very tiresome.
* Step 3: decide which variables to quantify over, as follows:
- Take the free vars of the tau-type (zonked_tau_tvs) and "grow"
them using all the constraints. These are tau_tvs_plus
- Use quantifyTyVars to quantify over (tau_tvs_plus - mono_tvs), being
careful to close over kinds, and to skolemise the quantified tyvars.
(This actually unifies each quantifies meta-tyvar with a fresh skolem.)
Result is qtvs.
* Step 4: Filter the constraints using pickQuantifiablePreds and the
qtvs. We have to zonk the constraints first, so they "see" the
freshly created skolems.
-}
decideQuantification
:: InferMode
-> TcLevel
-> [(Name, TcTauType)] -- Variables to be generalised
-> [TcIdSigInst] -- Partial type signatures (if any)
-> [PredType] -- Candidate theta; already zonked
-> TcM ( [TcTyVar] -- Quantify over these (skolems)
, [PredType] -- and this context (fully zonked)
, VarSet)
-- See Note [Deciding quantification]
decideQuantification infer_mode rhs_tclvl name_taus psigs candidates
= do { -- Step 1: find the mono_tvs
; (mono_tvs, candidates) <- decideMonoTyVars infer_mode
name_taus psigs candidates
-- Step 2: default any non-mono tyvars, and re-simplify
-- This step may do some unification, but result candidates is zonked
; candidates <- defaultTyVarsAndSimplify rhs_tclvl mono_tvs candidates
-- Step 3: decide which kind/type variables to quantify over
; (qtvs, co_vars) <- decideQuantifiedTyVars mono_tvs name_taus psigs candidates
-- Step 4: choose which of the remaining candidate
-- predicates to actually quantify over
-- NB: decideQuantifiedTyVars turned some meta tyvars
-- into quantified skolems, so we have to zonk again
; candidates <- TcM.zonkTcTypes candidates
; let theta = pickQuantifiablePreds (mkVarSet qtvs) $
mkMinimalBySCs id $ -- See Note [Minimize by Superclasses]
candidates
; traceTc "decideQuantification"
(vcat [ text "infer_mode:" <+> ppr infer_mode
, text "candidates:" <+> ppr candidates
, text "mono_tvs:" <+> ppr mono_tvs
, text "co_vars:" <+> ppr co_vars
, text "qtvs:" <+> ppr qtvs
, text "theta:" <+> ppr theta ])
; return (qtvs, theta, co_vars) }
------------------
decideMonoTyVars :: InferMode
-> [(Name,TcType)]
-> [TcIdSigInst]
-> [PredType]
-> TcM (TcTyCoVarSet, [PredType])
-- Decide which tyvars and covars cannot be generalised:
-- (a) Free in the environment
-- (b) Mentioned in a constraint we can't generalise
-- (c) Connected by an equality to (a) or (b)
-- Also return the reduced set of constraint we can generalise
decideMonoTyVars infer_mode name_taus psigs candidates
= do { (no_quant, maybe_quant) <- pick infer_mode candidates
-- If possible, we quantify over partial-sig qtvs, so they are
-- not mono. Need to zonk them because they are meta-tyvar SigTvs
; psig_qtvs <- mapM zonkTcTyVarToTyVar $
concatMap (map snd . sig_inst_skols) psigs
; mono_tvs0 <- tcGetGlobalTyCoVars
; let eq_constraints = filter isEqPred candidates
mono_tvs1 = growThetaTyVars eq_constraints mono_tvs0
constrained_tvs = (growThetaTyVars eq_constraints
(tyCoVarsOfTypes no_quant)
`minusVarSet` mono_tvs1)
`delVarSetList` psig_qtvs
-- constrained_tvs: the tyvars that we are not going to
-- quantify solely because of the moonomorphism restriction
--
-- (`minusVarSet` mono_tvs1`): a type variable is only
-- "constrained" (so that the MR bites) if it is not
-- free in the environment (Trac #13785)
--
-- (`delVarSetList` psig_qtvs): if the user has explicitly
-- asked for quantification, then that request "wins"
-- over the MR. Note: do /not/ delete psig_qtvs from
-- mono_tvs1, because mono_tvs1 cannot under any circumstances
-- be quantified (Trac #14479); see
-- Note [Quantification and partial signatures], Wrinkle 3, 4
mono_tvs = mono_tvs1 `unionVarSet` constrained_tvs
-- Warn about the monomorphism restriction
; warn_mono <- woptM Opt_WarnMonomorphism
; when (case infer_mode of { ApplyMR -> warn_mono; _ -> False}) $
do { taus <- mapM (TcM.zonkTcType . snd) name_taus
; warnTc (Reason Opt_WarnMonomorphism)
(constrained_tvs `intersectsVarSet` tyCoVarsOfTypes taus)
mr_msg }
; traceTc "decideMonoTyVars" $ vcat
[ text "mono_tvs0 =" <+> ppr mono_tvs0
, text "mono_tvs1 =" <+> ppr mono_tvs1
, text "no_quant =" <+> ppr no_quant
, text "maybe_quant =" <+> ppr maybe_quant
, text "eq_constraints =" <+> ppr eq_constraints
, text "mono_tvs =" <+> ppr mono_tvs ]
; return (mono_tvs, maybe_quant) }
where
pick :: InferMode -> [PredType] -> TcM ([PredType], [PredType])
-- Split the candidates into ones we definitely
-- won't quantify, and ones that we might
pick NoRestrictions cand = return ([], cand)
pick ApplyMR cand = return (cand, [])
pick EagerDefaulting cand = do { os <- xoptM LangExt.OverloadedStrings
; return (partition (is_int_ct os) cand) }
-- For EagerDefaulting, do not quantify over
-- over any interactive class constraint
is_int_ct ovl_strings pred
| Just (cls, _) <- getClassPredTys_maybe pred
= isInteractiveClass ovl_strings cls
| otherwise
= False
pp_bndrs = pprWithCommas (quotes . ppr . fst) name_taus
mr_msg =
hang (sep [ text "The Monomorphism Restriction applies to the binding"
<> plural name_taus
, text "for" <+> pp_bndrs ])
2 (hsep [ text "Consider giving"
, text (if isSingleton name_taus then "it" else "them")
, text "a type signature"])
-------------------
defaultTyVarsAndSimplify :: TcLevel
-> TyCoVarSet
-> [PredType] -- Assumed zonked
-> TcM [PredType] -- Guaranteed zonked
-- Default any tyvar free in the constraints,
-- and re-simplify in case the defaulting allows further simplification
defaultTyVarsAndSimplify rhs_tclvl mono_tvs candidates
= do { -- Promote any tyvars that we cannot generalise
-- See Note [Promote momomorphic tyvars]
; outer_tclvl <- TcM.getTcLevel
; let prom_tvs = nonDetEltsUniqSet mono_tvs
-- It's OK to use nonDetEltsUniqSet here
-- because promoteTyVar is commutative
; traceTc "decideMonoTyVars: promotion:" (ppr prom_tvs)
; proms <- mapM (promoteTyVar outer_tclvl) prom_tvs
-- Default any kind/levity vars
; let DV {dv_kvs = cand_kvs, dv_tvs = cand_tvs}
= candidateQTyVarsOfTypes candidates
; poly_kinds <- xoptM LangExt.PolyKinds
; default_kvs <- mapM (default_one poly_kinds True)
(dVarSetElems cand_kvs)
; default_tvs <- mapM (default_one poly_kinds False)
(dVarSetElems (cand_tvs `minusDVarSet` cand_kvs))
; let some_default = or default_kvs || or default_tvs
; case () of
_ | some_default -> simplify_cand candidates
| or proms -> mapM TcM.zonkTcType candidates
| otherwise -> return candidates
}
where
default_one poly_kinds is_kind_var tv
| not (isMetaTyVar tv)
= return False
| tv `elemVarSet` mono_tvs
= return False
| otherwise
= defaultTyVar (not poly_kinds && is_kind_var) tv
simplify_cand candidates
= do { clone_wanteds <- newWanteds DefaultOrigin candidates
; WC { wc_simple = simples } <- setTcLevel rhs_tclvl $
simplifyWantedsTcM clone_wanteds
-- Discard evidence; simples is fully zonked
; let new_candidates = ctsPreds simples
; traceTc "Simplified after defaulting" $
vcat [ text "Before:" <+> ppr candidates
, text "After:" <+> ppr new_candidates ]
; return new_candidates }
------------------
decideQuantifiedTyVars
:: TyCoVarSet -- Monomorphic tyvars
-> [(Name,TcType)] -- Annotated theta and (name,tau) pairs
-> [TcIdSigInst] -- Partial signatures
-> [PredType] -- Candidates, zonked
-> TcM ([TyVar], CoVarSet)
-- Fix what tyvars we are going to quantify over, and quantify them
-- Also return CoVars that appear free in the final quatified types
-- we can't quantify over these, and we must make sure they are in scope
decideQuantifiedTyVars mono_tvs name_taus psigs candidates
= do { -- Why psig_tys? We try to quantify over everything free in here
-- See Note [Quantification and partial signatures]
-- Wrinkles 2 and 3
; psig_tv_tys <- mapM TcM.zonkTcTyVar [ tv | sig <- psigs
, (_,tv) <- sig_inst_skols sig ]
; psig_theta <- mapM TcM.zonkTcType [ pred | sig <- psigs
, pred <- sig_inst_theta sig ]
; tau_tys <- mapM (TcM.zonkTcType . snd) name_taus
; mono_tvs <- TcM.zonkTyCoVarsAndFV mono_tvs
; let -- Try to quantify over variables free in these types
psig_tys = psig_tv_tys ++ psig_theta
seed_tys = psig_tys ++ tau_tys
-- Now "grow" those seeds to find ones reachable via 'candidates'
grown_tcvs = growThetaTyVars candidates (tyCoVarsOfTypes seed_tys)
-- We cannot quantify a type over a coercion (term-level) variable
-- So, if any CoVars appear in grow_tcvs (they might for example
-- appear in a cast in a type) we must remove them from the quantified
-- variables, along with any type variables free in their kinds
-- E.g. If we can't quantify over co :: k~Type, then we can't
-- quantify over k either! Hence closeOverKinds
; let co_vars = filterVarSet isCoVar grown_tcvs
proto_qtvs = grown_tcvs `minusVarSet` closeOverKinds co_vars
-- Now we have to classify them into kind variables and type variables
-- (sigh) just for the benefit of -XNoPolyKinds; see quantifyTyVars
--
-- Keep the psig_tys first, so that candidateQTyVarsOfTypes produces
-- them in that order, so that the final qtvs quantifies in the same
-- order as the partial signatures do (Trac #13524)
; let DV {dv_kvs = cand_kvs, dv_tvs = cand_tvs}
= candidateQTyVarsOfTypes $
psig_tys ++ candidates ++ tau_tys
pick = (`dVarSetIntersectVarSet` proto_qtvs)
dvs_plus = DV { dv_kvs = pick cand_kvs, dv_tvs = pick cand_tvs }
; traceTc "decideQuantifiedTyVars" (vcat
[ text "seed_tys =" <+> ppr seed_tys
, text "seed_tcvs =" <+> ppr (tyCoVarsOfTypes seed_tys)
, text "grown_tcvs =" <+> ppr grown_tcvs
, text "co_vars =" <+> ppr co_vars
, text "proto_qtvs =" <+> ppr proto_qtvs])
; qtvs <- quantifyTyVars mono_tvs dvs_plus
; return (qtvs, co_vars) }
------------------
growThetaTyVars :: ThetaType -> TyCoVarSet -> TyCoVarSet
-- See Note [Growing the tau-tvs using constraints]
growThetaTyVars theta tcvs
| null theta = tcvs
| otherwise = transCloVarSet mk_next seed_tcvs
where
seed_tcvs = tcvs `unionVarSet` tyCoVarsOfTypes ips
(ips, non_ips) = partition isIPPred theta
-- See Note [Inheriting implicit parameters] in TcType
mk_next :: VarSet -> VarSet -- Maps current set to newly-grown ones
mk_next so_far = foldr (grow_one so_far) emptyVarSet non_ips
grow_one so_far pred tcvs
| pred_tcvs `intersectsVarSet` so_far = tcvs `unionVarSet` pred_tcvs
| otherwise = tcvs
where
pred_tcvs = tyCoVarsOfType pred
{- Note [Promote momomorphic tyvars]
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
Promote any type variables that are free in the environment. Eg
f :: forall qtvs. bound_theta => zonked_tau
The free vars of f's type become free in the envt, and hence will show
up whenever 'f' is called. They may currently at rhs_tclvl, but they
had better be unifiable at the outer_tclvl! Example: envt mentions
alpha[1]
tau_ty = beta[2] -> beta[2]
constraints = alpha ~ [beta]
we don't quantify over beta (since it is fixed by envt)
so we must promote it! The inferred type is just
f :: beta -> beta
NB: promoteTyVar ignores coercion variables
Note [Quantification and partial signatures]
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
When choosing type variables to quantify, the basic plan is to
quantify over all type variables that are
* free in the tau_tvs, and
* not forced to be monomorphic (mono_tvs),
for example by being free in the environment.
However, in the case of a partial type signature, be doing inference
*in the presence of a type signature*. For example:
f :: _ -> a
f x = ...
or
g :: (Eq _a) => _b -> _b
In both cases we use plan InferGen, and hence call simplifyInfer. But
those 'a' variables are skolems (actually SigTvs), and we should be
sure to quantify over them. This leads to several wrinkles:
* Wrinkle 1. In the case of a type error
f :: _ -> Maybe a
f x = True && x
The inferred type of 'f' is f :: Bool -> Bool, but there's a
left-over error of form (HoleCan (Maybe a ~ Bool)). The error-reporting
machine expects to find a binding site for the skolem 'a', so we
add it to the quantified tyvars.
* Wrinkle 2. Consider the partial type signature
f :: (Eq _) => Int -> Int
f x = x
In normal cases that makes sense; e.g.
g :: Eq _a => _a -> _a
g x = x
where the signature makes the type less general than it could
be. But for 'f' we must therefore quantify over the user-annotated
constraints, to get
f :: forall a. Eq a => Int -> Int
(thereby correctly triggering an ambiguity error later). If we don't
we'll end up with a strange open type
f :: Eq alpha => Int -> Int
which isn't ambiguous but is still very wrong.
Bottom line: Try to quantify over any variable free in psig_theta,
just like the tau-part of the type.
* Wrinkle 3 (Trac #13482). Also consider
f :: forall a. _ => Int -> Int
f x = if (undefined :: a) == undefined then x else 0
Here we get an (Eq a) constraint, but it's not mentioned in the
psig_theta nor the type of 'f'. But we still want to quantify
over 'a' even if the monomorphism restriction is on.
* Wrinkle 4 (Trac #14479)
foo :: Num a => a -> a
foo xxx = g xxx
where
g :: forall b. Num b => _ -> b
g y = xxx + y
In the signature for 'g', we cannot quantify over 'b' because it turns out to
get unified with 'a', which is free in g's environment. So we carefully
refrain from bogusly quantifying, in TcSimplify.decideMonoTyVars. We
report the error later, in TcBinds.chooseInferredQuantifiers.
Note [Quantifying over equality constraints]
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
Should we quantify over an equality constraint (s ~ t)? In general, we don't.
Doing so may simply postpone a type error from the function definition site to
its call site. (At worst, imagine (Int ~ Bool)).
However, consider this
forall a. (F [a] ~ Int) => blah
Should we quantify over the (F [a] ~ Int)? Perhaps yes, because at the call
site we will know 'a', and perhaps we have instance F [Bool] = Int.
So we *do* quantify over a type-family equality where the arguments mention
the quantified variables.
Note [Growing the tau-tvs using constraints]
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
(growThetaTyVars insts tvs) is the result of extending the set
of tyvars, tvs, using all conceivable links from pred
E.g. tvs = {a}, preds = {H [a] b, K (b,Int) c, Eq e}
Then growThetaTyVars preds tvs = {a,b,c}
Notice that
growThetaTyVars is conservative if v might be fixed by vs
=> v `elem` grow(vs,C)
Note [Quantification with errors]
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
If we find that the RHS of the definition has some absolutely-insoluble
constraints (including especially "variable not in scope"), we
* Abandon all attempts to find a context to quantify over,
and instead make the function fully-polymorphic in whatever
type we have found
* Return a flag from simplifyInfer, indicating that we found an
insoluble constraint. This flag is used to suppress the ambiguity
check for the inferred type, which may well be bogus, and which
tends to obscure the real error. This fix feels a bit clunky,
but I failed to come up with anything better.
Reasons:
- Avoid downstream errors
- Do not perform an ambiguity test on a bogus type, which might well
fail spuriously, thereby obfuscating the original insoluble error.
Trac #14000 is an example
I tried an alternative approach: simply failM, after emitting the
residual implication constraint; the exception will be caught in
TcBinds.tcPolyBinds, which gives all the binders in the group the type
(forall a. a). But that didn't work with -fdefer-type-errors, because
the recovery from failM emits no code at all, so there is no function
to run! But -fdefer-type-errors aspires to produce a runnable program.
NB that we must include *derived* errors in the check for insolubles.
Example:
(a::*) ~ Int#
We get an insoluble derived error *~#, and we don't want to discard
it before doing the isInsolubleWC test! (Trac #8262)
Note [Default while Inferring]
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
Our current plan is that defaulting only happens at simplifyTop and
not simplifyInfer. This may lead to some insoluble deferred constraints.
Example:
instance D g => C g Int b
constraint inferred = (forall b. 0 => C gamma alpha b) /\ Num alpha
type inferred = gamma -> gamma
Now, if we try to default (alpha := Int) we will be able to refine the implication to
(forall b. 0 => C gamma Int b)
which can then be simplified further to
(forall b. 0 => D gamma)
Finally, we /can/ approximate this implication with (D gamma) and infer the quantified
type: forall g. D g => g -> g
Instead what will currently happen is that we will get a quantified type
(forall g. g -> g) and an implication:
forall g. 0 => (forall b. 0 => C g alpha b) /\ Num alpha
Which, even if the simplifyTop defaults (alpha := Int) we will still be left with an
unsolvable implication:
forall g. 0 => (forall b. 0 => D g)
The concrete example would be:
h :: C g a s => g -> a -> ST s a
f (x::gamma) = (\_ -> x) (runST (h x (undefined::alpha)) + 1)
But it is quite tedious to do defaulting and resolve the implication constraints, and
we have not observed code breaking because of the lack of defaulting in inference, so
we don't do it for now.
Note [Minimize by Superclasses]
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
When we quantify over a constraint, in simplifyInfer we need to
quantify over a constraint that is minimal in some sense: For
instance, if the final wanted constraint is (Eq alpha, Ord alpha),
we'd like to quantify over Ord alpha, because we can just get Eq alpha
from superclass selection from Ord alpha. This minimization is what
mkMinimalBySCs does. Then, simplifyInfer uses the minimal constraint
to check the original wanted.
Note [Avoid unnecessary constraint simplification]
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
-------- NB NB NB (Jun 12) -------------
This note not longer applies; see the notes with Trac #4361.
But I'm leaving it in here so we remember the issue.)
----------------------------------------
When inferring the type of a let-binding, with simplifyInfer,
try to avoid unnecessarily simplifying class constraints.
Doing so aids sharing, but it also helps with delicate
situations like
instance C t => C [t] where ..
f :: C [t] => ....
f x = let g y = ...(constraint C [t])...
in ...
When inferring a type for 'g', we don't want to apply the
instance decl, because then we can't satisfy (C t). So we
just notice that g isn't quantified over 't' and partition
the constraints before simplifying.
This only half-works, but then let-generalisation only half-works.
*********************************************************************************
* *
* Main Simplifier *
* *
***********************************************************************************
-}
simplifyWantedsTcM :: [CtEvidence] -> TcM WantedConstraints
-- Solve the specified Wanted constraints
-- Discard the evidence binds
-- Discards all Derived stuff in result
-- Postcondition: fully zonked and unflattened constraints
simplifyWantedsTcM wanted
= do { traceTc "simplifyWantedsTcM {" (ppr wanted)
; (result, _) <- runTcS (solveWantedsAndDrop (mkSimpleWC wanted))
; result <- TcM.zonkWC result
; traceTc "simplifyWantedsTcM }" (ppr result)
; return result }
solveWantedsAndDrop :: WantedConstraints -> TcS WantedConstraints
-- Since solveWanteds returns the residual WantedConstraints,
-- it should always be called within a runTcS or something similar,
-- Result is not zonked
solveWantedsAndDrop wanted
= do { wc <- solveWanteds wanted
; return (dropDerivedWC wc) }
solveWanteds :: WantedConstraints -> TcS WantedConstraints
-- so that the inert set doesn't mindlessly propagate.
-- NB: wc_simples may be wanted /or/ derived now
solveWanteds wc@(WC { wc_simple = simples, wc_impl = implics })
= do { traceTcS "solveWanteds {" (ppr wc)
; wc1 <- solveSimpleWanteds simples
-- Any insoluble constraints are in 'simples' and so get rewritten
-- See Note [Rewrite insolubles] in TcSMonad
; let WC { wc_simple = simples1, wc_impl = implics1 } = wc1
; (floated_eqs, implics2) <- solveNestedImplications (implics `unionBags` implics1)
; (no_new_scs, simples2) <- expandSuperClasses simples1
; traceTcS "solveWanteds middle" $ vcat [ text "simples1 =" <+> ppr simples1
, text "simples2 =" <+> ppr simples2 ]
; dflags <- getDynFlags
; final_wc <- simpl_loop 0 (solverIterations dflags) floated_eqs
no_new_scs
(WC { wc_simple = simples2
, wc_impl = implics2 })
; ev_binds_var <- getTcEvBindsVar
; bb <- TcS.getTcEvBindsMap ev_binds_var
; traceTcS "solveWanteds }" $
vcat [ text "final wc =" <+> ppr final_wc
, text "current evbinds =" <+> ppr (evBindMapBinds bb) ]
; return final_wc }
simpl_loop :: Int -> IntWithInf -> Cts -> Bool
-> WantedConstraints
-> TcS WantedConstraints
simpl_loop n limit floated_eqs no_new_deriveds
wc@(WC { wc_simple = simples, wc_impl = implics })
| isEmptyBag floated_eqs && no_new_deriveds
= return wc -- Done!
| n `intGtLimit` limit
= do { -- Add an error (not a warning) if we blow the limit,
-- Typically if we blow the limit we are going to report some other error
-- (an unsolved constraint), and we don't want that error to suppress
-- the iteration limit warning!
addErrTcS (hang (text "solveWanteds: too many iterations"
<+> parens (text "limit =" <+> ppr limit))
2 (vcat [ text "Unsolved:" <+> ppr wc
, ppUnless (isEmptyBag floated_eqs) $
text "Floated equalities:" <+> ppr floated_eqs
, ppUnless no_new_deriveds $
text "New deriveds found"
, text "Set limit with -fconstraint-solver-iterations=n; n=0 for no limit"
]))
; return wc }
| otherwise
= do { let n_floated = lengthBag floated_eqs
; csTraceTcS $
text "simpl_loop iteration=" <> int n
<+> (parens $ hsep [ text "no new deriveds =" <+> ppr no_new_deriveds <> comma
, int n_floated <+> text "floated eqs" <> comma
, int (lengthBag simples) <+> text "simples to solve" ])
-- solveSimples may make progress if either float_eqs hold
; (unifs1, wc1) <- reportUnifications $
solveSimpleWanteds $
floated_eqs `unionBags` simples
-- Notes:
-- - Put floated_eqs first so they get solved first
-- NB: the floated_eqs may include /derived/ equalities
-- arising from fundeps inside an implication
; let WC { wc_simple = simples1, wc_impl = implics1 } = wc1
; (no_new_scs, simples2) <- expandSuperClasses simples1
-- We have already tried to solve the nested implications once
-- Try again only if we have unified some meta-variables
-- (which is a bit like adding more givens)
-- See Note [Cutting off simpl_loop]
; (floated_eqs2, implics2) <- if unifs1 == 0 && isEmptyBag implics1
then return (emptyBag, implics)
else solveNestedImplications (implics `unionBags` implics1)
; simpl_loop (n+1) limit floated_eqs2 no_new_scs
(WC { wc_simple = simples2
, wc_impl = implics2 }) }
expandSuperClasses :: Cts -> TcS (Bool, Cts)
-- If there are any unsolved wanteds, expand one step of
-- superclasses for deriveds
-- Returned Bool is True <=> no new superclass constraints added
-- See Note [The superclass story] in TcCanonical
expandSuperClasses unsolved
| not (anyBag superClassesMightHelp unsolved)
= return (True, unsolved)
| otherwise
= do { traceTcS "expandSuperClasses {" empty
; let (pending_wanted, unsolved') = mapAccumBagL get [] unsolved
get acc ct | Just ct' <- isPendingScDict ct
= (ct':acc, ct')
| otherwise
= (acc, ct)
; pending_given <- getPendingScDicts
; if null pending_given && null pending_wanted
then do { traceTcS "End expandSuperClasses no-op }" empty
; return (True, unsolved) }
else
do { new_given <- makeSuperClasses pending_given
; solveSimpleGivens new_given
; new_wanted <- makeSuperClasses pending_wanted
; traceTcS "End expandSuperClasses }"
(vcat [ text "Given:" <+> ppr pending_given
, text "Wanted:" <+> ppr new_wanted ])
; return (False, unsolved' `unionBags` listToBag new_wanted) } }
solveNestedImplications :: Bag Implication
-> TcS (Cts, Bag Implication)
-- Precondition: the TcS inerts may contain unsolved simples which have
-- to be converted to givens before we go inside a nested implication.
solveNestedImplications implics
| isEmptyBag implics
= return (emptyBag, emptyBag)
| otherwise
= do { traceTcS "solveNestedImplications starting {" empty
; (floated_eqs_s, unsolved_implics) <- mapAndUnzipBagM solveImplication implics
; let floated_eqs = concatBag floated_eqs_s
-- ... and we are back in the original TcS inerts
-- Notice that the original includes the _insoluble_simples so it was safe to ignore
-- them in the beginning of this function.
; traceTcS "solveNestedImplications end }" $
vcat [ text "all floated_eqs =" <+> ppr floated_eqs
, text "unsolved_implics =" <+> ppr unsolved_implics ]
; return (floated_eqs, catBagMaybes unsolved_implics) }
solveImplication :: Implication -- Wanted
-> TcS (Cts, -- All wanted or derived floated equalities: var = type
Maybe Implication) -- Simplified implication (empty or singleton)
-- Precondition: The TcS monad contains an empty worklist and given-only inerts
-- which after trying to solve this implication we must restore to their original value
solveImplication imp@(Implic { ic_tclvl = tclvl
, ic_binds = ev_binds_var
, ic_skols = skols
, ic_given = given_ids
, ic_wanted = wanteds
, ic_info = info
, ic_status = status
, ic_env = env })
| isSolvedStatus status
= return (emptyCts, Just imp) -- Do nothing
| otherwise -- Even for IC_Insoluble it is worth doing more work
-- The insoluble stuff might be in one sub-implication
-- and other unsolved goals in another; and we want to
-- solve the latter as much as possible
= do { inerts <- getTcSInerts
; traceTcS "solveImplication {" (ppr imp $$ text "Inerts" <+> ppr inerts)
-- Solve the nested constraints
; (no_given_eqs, given_insols, residual_wanted)
<- nestImplicTcS ev_binds_var tclvl $
do { let loc = mkGivenLoc tclvl info env
givens = mkGivens loc given_ids
; solveSimpleGivens givens
; residual_wanted <- solveWanteds wanteds
-- solveWanteds, *not* solveWantedsAndDrop, because
-- we want to retain derived equalities so we can float
-- them out in floatEqualities
; (no_eqs, given_insols) <- getNoGivenEqs tclvl skols
-- Call getNoGivenEqs /after/ solveWanteds, because
-- solveWanteds can augment the givens, via expandSuperClasses,
-- to reveal given superclass equalities
; return (no_eqs, given_insols, residual_wanted) }
; (floated_eqs, residual_wanted)
<- floatEqualities skols given_ids ev_binds_var
no_given_eqs residual_wanted
; traceTcS "solveImplication 2"
(ppr given_insols $$ ppr residual_wanted)
; let final_wanted = residual_wanted `addInsols` given_insols
-- Don't lose track of the insoluble givens,
-- which signal unreachable code; put them in ic_wanted
; res_implic <- setImplicationStatus (imp { ic_no_eqs = no_given_eqs
, ic_wanted = final_wanted })
; (evbinds, tcvs) <- TcS.getTcEvBindsAndTCVs ev_binds_var
; traceTcS "solveImplication end }" $ vcat
[ text "no_given_eqs =" <+> ppr no_given_eqs
, text "floated_eqs =" <+> ppr floated_eqs
, text "res_implic =" <+> ppr res_implic
, text "implication evbinds =" <+> ppr (evBindMapBinds evbinds)
, text "implication tvcs =" <+> ppr tcvs ]
; return (floated_eqs, res_implic) }
----------------------
setImplicationStatus :: Implication -> TcS (Maybe Implication)
-- Finalise the implication returned from solveImplication:
-- * Set the ic_status field
-- * Trim the ic_wanted field to remove Derived constraints
-- Precondition: the ic_status field is not already IC_Solved
-- Return Nothing if we can discard the implication altogether
setImplicationStatus implic@(Implic { ic_binds = ev_binds_var
, ic_status = status
, ic_info = info
, ic_wanted = wc
, ic_needed = old_discarded_needs
, ic_given = givens })
| ASSERT2( not (isSolvedStatus status ), ppr info )
-- Precondition: we only set the status if it is not already solved
some_insoluble
= return $ Just $
implic { ic_status = IC_Insoluble
, ic_needed = new_discarded_needs
, ic_wanted = pruned_wc }
| some_unsolved
= do { traceTcS "setImplicationStatus" $
vcat [ppr givens $$ ppr simples $$ ppr mb_implic_needs]
; return $ Just $
implic { ic_status = IC_Unsolved
, ic_needed = new_discarded_needs
, ic_wanted = pruned_wc }
}
| otherwise -- Everything is solved; look at the implications
-- See Note [Tracking redundant constraints]
= do { ev_binds <- TcS.getTcEvBindsAndTCVs ev_binds_var
; let all_needs = neededEvVars ev_binds $
solved_implic_needs `unionVarSet` new_discarded_needs
dead_givens | warnRedundantGivens info
= filterOut (`elemVarSet` all_needs) givens
| otherwise = [] -- None to report
final_needs = all_needs `delVarSetList` givens
discard_entire_implication -- Can we discard the entire implication?
= null dead_givens -- No warning from this implication
&& isEmptyBag pruned_implics -- No live children
&& isEmptyVarSet final_needs -- No needed vars to pass up to parent
final_status = IC_Solved { ics_need = final_needs
, ics_dead = dead_givens }
final_implic = implic { ic_status = final_status
, ic_needed = emptyVarSet -- Irrelevant for IC_Solved
, ic_wanted = pruned_wc }
-- Check that there are no term-level evidence bindings
-- in the cases where we have no place to put them
; MASSERT2( termEvidenceAllowed info || isEmptyEvBindMap (fst ev_binds)
, ppr info $$ ppr ev_binds )
; traceTcS "setImplicationStatus 2" $
vcat [ppr givens $$ ppr ev_binds $$ ppr all_needs]
; return $ if discard_entire_implication
then Nothing
else Just final_implic }
where
WC { wc_simple = simples, wc_impl = implics } = wc
some_insoluble = insolubleWC wc
some_unsolved = not (isEmptyBag simples)
|| isNothing mb_implic_needs
pruned_simples = dropDerivedSimples simples
(pruned_implics, discarded_needs) = partitionBagWith discard_me implics
pruned_wc = wc { wc_simple = pruned_simples
, wc_impl = pruned_implics }
new_discarded_needs = foldrBag unionVarSet old_discarded_needs discarded_needs
mb_implic_needs :: Maybe VarSet
-- Just vs => all implics are IC_Solved, with 'vs' needed
-- Nothing => at least one implic is not IC_Solved
mb_implic_needs = foldrBag add_implic (Just emptyVarSet) pruned_implics
Just solved_implic_needs = mb_implic_needs
add_implic implic acc
| Just vs_acc <- acc
, IC_Solved { ics_need = vs } <- ic_status implic
= Just (vs `unionVarSet` vs_acc)
| otherwise = Nothing
discard_me :: Implication -> Either Implication VarSet
discard_me ic
| IC_Solved { ics_dead = dead_givens, ics_need = needed } <- ic_status ic
-- Fully solved
, null dead_givens -- No redundant givens to report
, isEmptyBag (wc_impl (ic_wanted ic))
-- And no children that might have things to report
= Right needed
| otherwise
= Left ic
warnRedundantGivens :: SkolemInfo -> Bool
warnRedundantGivens (SigSkol ctxt _ _)
= case ctxt of
FunSigCtxt _ warn_redundant -> warn_redundant
ExprSigCtxt -> True
_ -> False
-- To think about: do we want to report redundant givens for
-- pattern synonyms, PatSynSigSkol? c.f Trac #9953, comment:21.
warnRedundantGivens (InstSkol {}) = True
warnRedundantGivens _ = False
neededEvVars :: (EvBindMap, TcTyVarSet) -> VarSet -> VarSet
-- Find all the evidence variables that are "needed",
-- and then delete all those bound by the evidence bindings
-- See Note [Tracking redundant constraints]
--
-- - Start from initial_seeds (from nested implications)
-- - Add free vars of RHS of all Wanted evidence bindings
-- and coercion variables accumulated in tcvs (all Wanted)
-- - Do transitive closure through Given bindings
-- e.g. Neede {a,b}
-- Given a = sc_sel a2
-- Then a2 is needed too
-- - Finally delete all the binders of the evidence bindings
--
neededEvVars (ev_binds, tcvs) initial_seeds
= needed `minusVarSet` bndrs
where
needed = transCloVarSet also_needs seeds
seeds = foldEvBindMap add_wanted initial_seeds ev_binds
`unionVarSet` tcvs
bndrs = foldEvBindMap add_bndr emptyVarSet ev_binds
add_wanted :: EvBind -> VarSet -> VarSet
add_wanted (EvBind { eb_is_given = is_given, eb_rhs = rhs }) needs
| is_given = needs -- Add the rhs vars of the Wanted bindings only
| otherwise = evVarsOfTerm rhs `unionVarSet` needs
also_needs :: VarSet -> VarSet
also_needs needs
= nonDetFoldUniqSet add emptyVarSet needs
-- It's OK to use nonDetFoldUFM here because we immediately forget
-- about the ordering by creating a set
where
add v needs
| Just ev_bind <- lookupEvBind ev_binds v
, EvBind { eb_is_given = is_given, eb_rhs = rhs } <- ev_bind
, is_given
= evVarsOfTerm rhs `unionVarSet` needs
| otherwise
= needs
add_bndr :: EvBind -> VarSet -> VarSet
add_bndr (EvBind { eb_lhs = v }) vs = extendVarSet vs v
{-
Note [Tracking redundant constraints]
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
With Opt_WarnRedundantConstraints, GHC can report which
constraints of a type signature (or instance declaration) are
redundant, and can be omitted. Here is an overview of how it
works:
----- What is a redundant constraint?
* The things that can be redundant are precisely the Given
constraints of an implication.
* A constraint can be redundant in two different ways:
a) It is implied by other givens. E.g.
f :: (Eq a, Ord a) => blah -- Eq a unnecessary
g :: (Eq a, a~b, Eq b) => blah -- Either Eq a or Eq b unnecessary
b) It is not needed by the Wanted constraints covered by the
implication E.g.
f :: Eq a => a -> Bool
f x = True -- Equality not used
* To find (a), when we have two Given constraints,
we must be careful to drop the one that is a naked variable (if poss).
So if we have
f :: (Eq a, Ord a) => blah
then we may find [G] sc_sel (d1::Ord a) :: Eq a
[G] d2 :: Eq a
We want to discard d2 in favour of the superclass selection from
the Ord dictionary. This is done by TcInteract.solveOneFromTheOther
See Note [Replacement vs keeping].
* To find (b) we need to know which evidence bindings are 'wanted';
hence the eb_is_given field on an EvBind.
----- How tracking works
* When the constraint solver finishes solving all the wanteds in
an implication, it sets its status to IC_Solved
- The ics_dead field, of IC_Solved, records the subset of this
implication's ic_given that are redundant (not needed).
- The ics_need field of IC_Solved then records all the
in-scope (given) evidence variables bound by the context, that
were needed to solve this implication, including all its nested
implications. (We remove the ic_given of this implication from
the set, of course.)
* We compute which evidence variables are needed by an implication
in setImplicationStatus. A variable is needed if
a) it is free in the RHS of a Wanted EvBind,
b) it is free in the RHS of an EvBind whose LHS is needed,
c) it is in the ics_need of a nested implication.
* We need to be careful not to discard an implication
prematurely, even one that is fully solved, because we might
thereby forget which variables it needs, and hence wrongly
report a constraint as redundant. But we can discard it once
its free vars have been incorporated into its parent; or if it
simply has no free vars. This careful discarding is also
handled in setImplicationStatus.
----- Reporting redundant constraints
* TcErrors does the actual warning, in warnRedundantConstraints.
* We don't report redundant givens for *every* implication; only
for those which reply True to TcSimplify.warnRedundantGivens:
- For example, in a class declaration, the default method *can*
use the class constraint, but it certainly doesn't *have* to,
and we don't want to report an error there.
- More subtly, in a function definition
f :: (Ord a, Ord a, Ix a) => a -> a
f x = rhs
we do an ambiguity check on the type (which would find that one
of the Ord a constraints was redundant), and then we check that
the definition has that type (which might find that both are
redundant). We don't want to report the same error twice, so we
disable it for the ambiguity check. Hence using two different
FunSigCtxts, one with the warn-redundant field set True, and the
other set False in
- TcBinds.tcSpecPrag
- TcBinds.tcTySig
This decision is taken in setImplicationStatus, rather than TcErrors
so that we can discard implication constraints that we don't need.
So ics_dead consists only of the *reportable* redundant givens.
----- Shortcomings
Consider (see Trac #9939)
f2 :: (Eq a, Ord a) => a -> a -> Bool
-- Ord a redundant, but Eq a is reported
f2 x y = (x == y)
We report (Eq a) as redundant, whereas actually (Ord a) is. But it's
really not easy to detect that!
Note [Cutting off simpl_loop]
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
It is very important not to iterate in simpl_loop unless there is a chance
of progress. Trac #8474 is a classic example:
* There's a deeply-nested chain of implication constraints.
?x:alpha => ?y1:beta1 => ... ?yn:betan => [W] ?x:Int
* From the innermost one we get a [D] alpha ~ Int,
but alpha is untouchable until we get out to the outermost one
* We float [D] alpha~Int out (it is in floated_eqs), but since alpha
is untouchable, the solveInteract in simpl_loop makes no progress
* So there is no point in attempting to re-solve
?yn:betan => [W] ?x:Int
via solveNestedImplications, because we'll just get the
same [D] again
* If we *do* re-solve, we'll get an ininite loop. It is cut off by
the fixed bound of 10, but solving the next takes 10*10*...*10 (ie
exponentially many) iterations!
Conclusion: we should call solveNestedImplications only if we did
some unification in solveSimpleWanteds; because that's the only way
we'll get more Givens (a unification is like adding a Given) to
allow the implication to make progress.
-}
promoteTyVar :: TcLevel -> TcTyVar -> TcM Bool
-- When we float a constraint out of an implication we must restore
-- invariant (MetaTvInv) in Note [TcLevel and untouchable type variables] in TcType
-- Return True <=> we did some promotion
-- See Note [Promoting unification variables]
promoteTyVar tclvl tv
| isFloatedTouchableMetaTyVar tclvl tv
= do { cloned_tv <- TcM.cloneMetaTyVar tv
; let rhs_tv = setMetaTyVarTcLevel cloned_tv tclvl
; TcM.writeMetaTyVar tv (mkTyVarTy rhs_tv)
; return True }
| otherwise
= return False
promoteTyVarTcS :: TcLevel -> TcTyVar -> TcS ()
-- When we float a constraint out of an implication we must restore
-- invariant (MetaTvInv) in Note [TcLevel and untouchable type variables] in TcType
-- See Note [Promoting unification variables]
-- We don't just call promoteTyVar because we want to use unifyTyVar,
-- not writeMetaTyVar
promoteTyVarTcS tclvl tv
| isFloatedTouchableMetaTyVar tclvl tv
= do { cloned_tv <- TcS.cloneMetaTyVar tv
; let rhs_tv = setMetaTyVarTcLevel cloned_tv tclvl
; unifyTyVar tv (mkTyVarTy rhs_tv) }
| otherwise
= return ()
-- | Like 'defaultTyVar', but in the TcS monad.
defaultTyVarTcS :: TcTyVar -> TcS Bool
defaultTyVarTcS the_tv
| isRuntimeRepVar the_tv
, not (isSigTyVar the_tv) -- SigTvs should only be unified with a tyvar
-- never with a type; c.f. TcMType.defaultTyVar
-- See Note [Kind generalisation and SigTvs]
= do { traceTcS "defaultTyVarTcS RuntimeRep" (ppr the_tv)
; unifyTyVar the_tv liftedRepTy
; return True }
| otherwise
= return False -- the common case
approximateWC :: Bool -> WantedConstraints -> Cts
-- Postcondition: Wanted or Derived Cts
-- See Note [ApproximateWC]
approximateWC float_past_equalities wc
= float_wc emptyVarSet wc
where
float_wc :: TcTyCoVarSet -> WantedConstraints -> Cts
float_wc trapping_tvs (WC { wc_simple = simples, wc_impl = implics })
= filterBag (is_floatable trapping_tvs) simples `unionBags`
do_bag (float_implic trapping_tvs) implics
where
float_implic :: TcTyCoVarSet -> Implication -> Cts
float_implic trapping_tvs imp
| float_past_equalities || ic_no_eqs imp
= float_wc new_trapping_tvs (ic_wanted imp)
| otherwise -- Take care with equalities
= emptyCts -- See (1) under Note [ApproximateWC]
where
new_trapping_tvs = trapping_tvs `extendVarSetList` ic_skols imp
do_bag :: (a -> Bag c) -> Bag a -> Bag c
do_bag f = foldrBag (unionBags.f) emptyBag
is_floatable skol_tvs ct
| isGivenCt ct = False
| isHoleCt ct = False
| insolubleEqCt ct = False
| otherwise = tyCoVarsOfCt ct `disjointVarSet` skol_tvs
{- Note [ApproximateWC]
~~~~~~~~~~~~~~~~~~~~~~~
approximateWC takes a constraint, typically arising from the RHS of a
let-binding whose type we are *inferring*, and extracts from it some
*simple* constraints that we might plausibly abstract over. Of course
the top-level simple constraints are plausible, but we also float constraints
out from inside, if they are not captured by skolems.
The same function is used when doing type-class defaulting (see the call
to applyDefaultingRules) to extract constraints that that might be defaulted.
There is one caveat:
1. When infering most-general types (in simplifyInfer), we do *not*
float anything out if the implication binds equality constraints,
because that defeats the OutsideIn story. Consider
data T a where
TInt :: T Int
MkT :: T a
f TInt = 3::Int
We get the implication (a ~ Int => res ~ Int), where so far we've decided
f :: T a -> res
We don't want to float (res~Int) out because then we'll infer
f :: T a -> Int
which is only on of the possible types. (GHC 7.6 accidentally *did*
float out of such implications, which meant it would happily infer
non-principal types.)
HOWEVER (Trac #12797) in findDefaultableGroups we are not worried about
the most-general type; and we /do/ want to float out of equalities.
Hence the boolean flag to approximateWC.
------ Historical note -----------
There used to be a second caveat, driven by Trac #8155
2. We do not float out an inner constraint that shares a type variable
(transitively) with one that is trapped by a skolem. Eg
forall a. F a ~ beta, Integral beta
We don't want to float out (Integral beta). Doing so would be bad
when defaulting, because then we'll default beta:=Integer, and that
makes the error message much worse; we'd get
Can't solve F a ~ Integer
rather than
Can't solve Integral (F a)
Moreover, floating out these "contaminated" constraints doesn't help
when generalising either. If we generalise over (Integral b), we still
can't solve the retained implication (forall a. F a ~ b). Indeed,
arguably that too would be a harder error to understand.
But this transitive closure stuff gives rise to a complex rule for
when defaulting actually happens, and one that was never documented.
Moreover (Trac #12923), the more complex rule is sometimes NOT what
you want. So I simply removed the extra code to implement the
contamination stuff. There was zero effect on the testsuite (not even
#8155).
------ End of historical note -----------
Note [DefaultTyVar]
~~~~~~~~~~~~~~~~~~~
defaultTyVar is used on any un-instantiated meta type variables to
default any RuntimeRep variables to LiftedRep. This is important
to ensure that instance declarations match. For example consider
instance Show (a->b)
foo x = show (\_ -> True)
Then we'll get a constraint (Show (p ->q)) where p has kind (TYPE r),
and that won't match the typeKind (*) in the instance decl. See tests
tc217 and tc175.
We look only at touchable type variables. No further constraints
are going to affect these type variables, so it's time to do it by
hand. However we aren't ready to default them fully to () or
whatever, because the type-class defaulting rules have yet to run.
An alternate implementation would be to emit a derived constraint setting
the RuntimeRep variable to LiftedRep, but this seems unnecessarily indirect.
Note [Promote _and_ default when inferring]
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
When we are inferring a type, we simplify the constraint, and then use
approximateWC to produce a list of candidate constraints. Then we MUST
a) Promote any meta-tyvars that have been floated out by
approximateWC, to restore invariant (MetaTvInv) described in
Note [TcLevel and untouchable type variables] in TcType.
b) Default the kind of any meta-tyvars that are not mentioned in
in the environment.
To see (b), suppose the constraint is (C ((a :: OpenKind) -> Int)), and we
have an instance (C ((x:*) -> Int)). The instance doesn't match -- but it
should! If we don't solve the constraint, we'll stupidly quantify over
(C (a->Int)) and, worse, in doing so zonkQuantifiedTyVar will quantify over
(b:*) instead of (a:OpenKind), which can lead to disaster; see Trac #7332.
Trac #7641 is a simpler example.
Note [Promoting unification variables]
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
When we float an equality out of an implication we must "promote" free
unification variables of the equality, in order to maintain Invariant
(MetaTvInv) from Note [TcLevel and untouchable type variables] in TcType. for the
leftover implication.
This is absolutely necessary. Consider the following example. We start
with two implications and a class with a functional dependency.
class C x y | x -> y
instance C [a] [a]
(I1) [untch=beta]forall b. 0 => F Int ~ [beta]
(I2) [untch=beta]forall c. 0 => F Int ~ [[alpha]] /\ C beta [c]
We float (F Int ~ [beta]) out of I1, and we float (F Int ~ [[alpha]]) out of I2.
They may react to yield that (beta := [alpha]) which can then be pushed inwards
the leftover of I2 to get (C [alpha] [a]) which, using the FunDep, will mean that
(alpha := a). In the end we will have the skolem 'b' escaping in the untouchable
beta! Concrete example is in indexed_types/should_fail/ExtraTcsUntch.hs:
class C x y | x -> y where
op :: x -> y -> ()
instance C [a] [a]
type family F a :: *
h :: F Int -> ()
h = undefined
data TEx where
TEx :: a -> TEx
f (x::beta) =
let g1 :: forall b. b -> ()
g1 _ = h [x]
g2 z = case z of TEx y -> (h [[undefined]], op x [y])
in (g1 '3', g2 undefined)
*********************************************************************************
* *
* Floating equalities *
* *
*********************************************************************************
Note [Float Equalities out of Implications]
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
For ordinary pattern matches (including existentials) we float
equalities out of implications, for instance:
data T where
MkT :: Eq a => a -> T
f x y = case x of MkT _ -> (y::Int)
We get the implication constraint (x::T) (y::alpha):
forall a. [untouchable=alpha] Eq a => alpha ~ Int
We want to float out the equality into a scope where alpha is no
longer untouchable, to solve the implication!
But we cannot float equalities out of implications whose givens may
yield or contain equalities:
data T a where
T1 :: T Int
T2 :: T Bool
T3 :: T a
h :: T a -> a -> Int
f x y = case x of
T1 -> y::Int
T2 -> y::Bool
T3 -> h x y
We generate constraint, for (x::T alpha) and (y :: beta):
[untouchables = beta] (alpha ~ Int => beta ~ Int) -- From 1st branch
[untouchables = beta] (alpha ~ Bool => beta ~ Bool) -- From 2nd branch
(alpha ~ beta) -- From 3rd branch
If we float the equality (beta ~ Int) outside of the first implication and
the equality (beta ~ Bool) out of the second we get an insoluble constraint.
But if we just leave them inside the implications, we unify alpha := beta and
solve everything.
Principle:
We do not want to float equalities out which may
need the given *evidence* to become soluble.
Consequence: classes with functional dependencies don't matter (since there is
no evidence for a fundep equality), but equality superclasses do matter (since
they carry evidence).
-}
floatEqualities :: [TcTyVar] -> [EvId] -> EvBindsVar -> Bool
-> WantedConstraints
-> TcS (Cts, WantedConstraints)
-- Main idea: see Note [Float Equalities out of Implications]
--
-- Precondition: the wc_simple of the incoming WantedConstraints are
-- fully zonked, so that we can see their free variables
--
-- Postcondition: The returned floated constraints (Cts) are only
-- Wanted or Derived
--
-- Also performs some unifications (via promoteTyVar), adding to
-- monadically-carried ty_binds. These will be used when processing
-- floated_eqs later
--
-- Subtleties: Note [Float equalities from under a skolem binding]
-- Note [Skolem escape]
-- Note [What prevents a constraint from floating]
floatEqualities skols given_ids ev_binds_var no_given_eqs
wanteds@(WC { wc_simple = simples })
| not no_given_eqs -- There are some given equalities, so don't float
= return (emptyBag, wanteds) -- Note [Float Equalities out of Implications]
| otherwise
= do { -- First zonk: the inert set (from whence they came) is fully
-- zonked, but unflattening may have filled in unification
-- variables, and we /must/ see them. Otherwise we may float
-- constraints that mention the skolems!
simples <- TcS.zonkSimples simples
; binds <- TcS.getTcEvBindsMap ev_binds_var
-- Now we can pick the ones to float
-- The constraints are un-flattened and de-canonicalised
; let seed_skols = mkVarSet skols `unionVarSet`
mkVarSet given_ids `unionVarSet`
foldEvBindMap add_one emptyVarSet binds
add_one bind acc = extendVarSet acc (evBindVar bind)
-- seed_skols: See Note [What prevents a constraint from floating] (1,2,3)
(eqs, non_eqs) = partitionBag is_eq_ct simples
extended_skols = transCloVarSet (extra_skols eqs) seed_skols
(flt_eqs, no_flt_eqs) = partitionBag (is_floatable extended_skols) eqs
remaining_simples = non_eqs `andCts` no_flt_eqs
-- extended_skols: See Note [What prevents a constraint from floating] (3)
-- Promote any unification variables mentioned in the floated equalities
-- See Note [Promoting unification variables]
; outer_tclvl <- TcS.getTcLevel
; mapM_ (promoteTyVarTcS outer_tclvl)
(tyCoVarsOfCtsList flt_eqs)
; traceTcS "floatEqualities" (vcat [ text "Skols =" <+> ppr skols
, text "Extended skols =" <+> ppr extended_skols
, text "Simples =" <+> ppr simples
, text "Eqs =" <+> ppr eqs
, text "Floated eqs =" <+> ppr flt_eqs])
; return ( flt_eqs, wanteds { wc_simple = remaining_simples } ) }
where
is_floatable :: VarSet -> Ct -> Bool
is_floatable skols ct
| isDerivedCt ct = not (tyCoVarsOfCt ct `intersectsVarSet` skols)
| otherwise = not (ctEvId ct `elemVarSet` skols)
is_eq_ct ct | CTyEqCan {} <- ct = True
| is_homo_eq (ctPred ct) = True
| otherwise = False
extra_skols :: Cts -> VarSet -> VarSet
extra_skols eqs skols = foldrBag extra_skol emptyVarSet eqs
where
extra_skol ct acc
| isDerivedCt ct = acc
| tyCoVarsOfCt ct `intersectsVarSet` skols = extendVarSet acc (ctEvId ct)
| otherwise = acc
-- Float out alpha ~ ty, or ty ~ alpha
-- which might be unified outside
-- See Note [Which equalities to float]
is_homo_eq pred
| EqPred NomEq ty1 ty2 <- classifyPredType pred
, typeKind ty1 `tcEqType` typeKind ty2
= case (tcGetTyVar_maybe ty1, tcGetTyVar_maybe ty2) of
(Just tv1, _) -> float_tv_eq tv1 ty2
(_, Just tv2) -> float_tv_eq tv2 ty1
_ -> False
| otherwise
= False
float_tv_eq tv1 ty2 -- See Note [Which equalities to float]
= isMetaTyVar tv1
&& (not (isSigTyVar tv1) || isTyVarTy ty2)
{- Note [Float equalities from under a skolem binding]
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
Which of the simple equalities can we float out? Obviously, only
ones that don't mention the skolem-bound variables. But that is
over-eager. Consider
[2] forall a. F a beta[1] ~ gamma[2], G beta[1] gamma[2] ~ Int
The second constraint doesn't mention 'a'. But if we float it,
we'll promote gamma[2] to gamma'[1]. Now suppose that we learn that
beta := Bool, and F a Bool = a, and G Bool _ = Int. Then we'll
we left with the constraint
[2] forall a. a ~ gamma'[1]
which is insoluble because gamma became untouchable.
Solution: float only constraints that stand a jolly good chance of
being soluble simply by being floated, namely ones of form
a ~ ty
where 'a' is a currently-untouchable unification variable, but may
become touchable by being floated (perhaps by more than one level).
We had a very complicated rule previously, but this is nice and
simple. (To see the notes, look at this Note in a version of
TcSimplify prior to Oct 2014).
Note [Which equalities to float]
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
Which equalities should we float? We want to float ones where there
is a decent chance that floating outwards will allow unification to
happen. In particular:
Float out homogeneous equalities of form (alpha ~ ty) or (ty ~ alpha), where
* alpha is a meta-tyvar.
* And 'alpha' is not a SigTv with 'ty' being a non-tyvar. In that
case, floating out won't help either, and it may affect grouping
of error messages.
Why homogeneous (i.e., the kinds of the types are the same)? Because heterogeneous
equalities have derived kind equalities. See Note [Equalities with incompatible kinds]
in TcCanonical. If we float out a hetero equality, then it will spit out the
same derived kind equality again, which might create duplicate error messages.
Instead, we do float out the kind equality (if it's worth floating out, as
above). If/when we solve it, we'll be able to rewrite the original hetero equality
to be homogeneous, and then perhaps make progress / float it out. The duplicate
error message was spotted in typecheck/should_fail/T7368.
Note [Skolem escape]
~~~~~~~~~~~~~~~~~~~~
You might worry about skolem escape with all this floating.
For example, consider
[2] forall a. (a ~ F beta[2] delta,
Maybe beta[2] ~ gamma[1])
The (Maybe beta ~ gamma) doesn't mention 'a', so we float it, and
solve with gamma := beta. But what if later delta:=Int, and
F b Int = b.
Then we'd get a ~ beta[2], and solve to get beta:=a, and now the
skolem has escaped!
But it's ok: when we float (Maybe beta[2] ~ gamma[1]), we promote beta[2]
to beta[1], and that means the (a ~ beta[1]) will be stuck, as it should be.
Note [What prevents a constraint from floating]
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
What /prevents/ a constraint from floating? If it mentions one of the
"bound variables of the implication". What are they?
The "bound variables of the implication" are
1. The skolem type variables `ic_skols`
2. The "given" evidence variables `ic_given`. Example:
forall a. (co :: t1 ~# t2) => [W] co : (a ~# b |> co)
3. The binders of all evidence bindings in `ic_binds`. Example
forall a. (d :: t1 ~ t2)
EvBinds { (co :: t1 ~# t2) = superclass-sel d }
=> [W] co : (a ~# b |> co)
Here `co` is gotten by superclass selection from `d`.
4. And the evidence variable of any equality constraint whose type
mentions a bound variable. Example:
forall k. [W] co1 :: t1 ~# t2 |> co2
[W] co2 :: k ~# *
Here, since `k` is bound, so is `co2` and hence so is `co1`.
Here (1,2,3) are handled by the "seed_skols" calculation, and
(4) is done by the transCloVarSet call.
The possible dependence on givens, and evidence bindings, is more
subtle than we'd realised at first. See Trac #14584.
*********************************************************************************
* *
* Defaulting and disambiguation *
* *
*********************************************************************************
-}
applyDefaultingRules :: WantedConstraints -> TcS Bool
-- True <=> I did some defaulting, by unifying a meta-tyvar
-- Input WantedConstraints are not necessarily zonked
applyDefaultingRules wanteds
| isEmptyWC wanteds
= return False
| otherwise
= do { info@(default_tys, _) <- getDefaultInfo
; wanteds <- TcS.zonkWC wanteds
; let groups = findDefaultableGroups info wanteds
; traceTcS "applyDefaultingRules {" $
vcat [ text "wanteds =" <+> ppr wanteds
, text "groups =" <+> ppr groups
, text "info =" <+> ppr info ]
; something_happeneds <- mapM (disambigGroup default_tys) groups
; traceTcS "applyDefaultingRules }" (ppr something_happeneds)
; return (or something_happeneds) }
findDefaultableGroups
:: ( [Type]
, (Bool,Bool) ) -- (Overloaded strings, extended default rules)
-> WantedConstraints -- Unsolved (wanted or derived)
-> [(TyVar, [Ct])]
findDefaultableGroups (default_tys, (ovl_strings, extended_defaults)) wanteds
| null default_tys
= []
| otherwise
= [ (tv, map fstOf3 group)
| group'@((_,_,tv) :| _) <- unary_groups
, let group = toList group'
, defaultable_tyvar tv
, defaultable_classes (map sndOf3 group) ]
where
simples = approximateWC True wanteds
(unaries, non_unaries) = partitionWith find_unary (bagToList simples)
unary_groups = equivClasses cmp_tv unaries
unary_groups :: [NonEmpty (Ct, Class, TcTyVar)] -- (C tv) constraints
unaries :: [(Ct, Class, TcTyVar)] -- (C tv) constraints
non_unaries :: [Ct] -- and *other* constraints
-- Finds unary type-class constraints
-- But take account of polykinded classes like Typeable,
-- which may look like (Typeable * (a:*)) (Trac #8931)
find_unary :: Ct -> Either (Ct, Class, TyVar) Ct
find_unary cc
| Just (cls,tys) <- getClassPredTys_maybe (ctPred cc)
, [ty] <- filterOutInvisibleTypes (classTyCon cls) tys
-- Ignore invisible arguments for this purpose
, Just tv <- tcGetTyVar_maybe ty
, isMetaTyVar tv -- We might have runtime-skolems in GHCi, and
-- we definitely don't want to try to assign to those!
= Left (cc, cls, tv)
find_unary cc = Right cc -- Non unary or non dictionary
bad_tvs :: TcTyCoVarSet -- TyVars mentioned by non-unaries
bad_tvs = mapUnionVarSet tyCoVarsOfCt non_unaries
cmp_tv (_,_,tv1) (_,_,tv2) = tv1 `compare` tv2
defaultable_tyvar :: TcTyVar -> Bool
defaultable_tyvar tv
= let b1 = isTyConableTyVar tv -- Note [Avoiding spurious errors]
b2 = not (tv `elemVarSet` bad_tvs)
in b1 && (b2 || extended_defaults) -- Note [Multi-parameter defaults]
defaultable_classes :: [Class] -> Bool
defaultable_classes clss
| extended_defaults = any (isInteractiveClass ovl_strings) clss
| otherwise = all is_std_class clss && (any (isNumClass ovl_strings) clss)
-- is_std_class adds IsString to the standard numeric classes,
-- when -foverloaded-strings is enabled
is_std_class cls = isStandardClass cls ||
(ovl_strings && (cls `hasKey` isStringClassKey))
------------------------------
disambigGroup :: [Type] -- The default types
-> (TcTyVar, [Ct]) -- All classes of the form (C a)
-- sharing same type variable
-> TcS Bool -- True <=> something happened, reflected in ty_binds
disambigGroup [] _
= return False
disambigGroup (default_ty:default_tys) group@(the_tv, wanteds)
= do { traceTcS "disambigGroup {" (vcat [ ppr default_ty, ppr the_tv, ppr wanteds ])
; fake_ev_binds_var <- TcS.newTcEvBinds
; tclvl <- TcS.getTcLevel
; success <- nestImplicTcS fake_ev_binds_var (pushTcLevel tclvl) try_group
; if success then
-- Success: record the type variable binding, and return
do { unifyTyVar the_tv default_ty
; wrapWarnTcS $ warnDefaulting wanteds default_ty
; traceTcS "disambigGroup succeeded }" (ppr default_ty)
; return True }
else
-- Failure: try with the next type
do { traceTcS "disambigGroup failed, will try other default types }"
(ppr default_ty)
; disambigGroup default_tys group } }
where
try_group
| Just subst <- mb_subst
= do { lcl_env <- TcS.getLclEnv
; tc_lvl <- TcS.getTcLevel
; let loc = mkGivenLoc tc_lvl UnkSkol lcl_env
; wanted_evs <- mapM (newWantedEvVarNC loc . substTy subst . ctPred)
wanteds
; fmap isEmptyWC $
solveSimpleWanteds $ listToBag $
map mkNonCanonical wanted_evs }
| otherwise
= return False
the_ty = mkTyVarTy the_tv
mb_subst = tcMatchTyKi the_ty default_ty
-- Make sure the kinds match too; hence this call to tcMatchTyKi
-- E.g. suppose the only constraint was (Typeable k (a::k))
-- With the addition of polykinded defaulting we also want to reject
-- ill-kinded defaulting attempts like (Eq []) or (Foldable Int) here.
-- In interactive mode, or with -XExtendedDefaultRules,
-- we default Show a to Show () to avoid graututious errors on "show []"
isInteractiveClass :: Bool -- -XOverloadedStrings?
-> Class -> Bool
isInteractiveClass ovl_strings cls
= isNumClass ovl_strings cls || (classKey cls `elem` interactiveClassKeys)
-- isNumClass adds IsString to the standard numeric classes,
-- when -foverloaded-strings is enabled
isNumClass :: Bool -- -XOverloadedStrings?
-> Class -> Bool
isNumClass ovl_strings cls
= isNumericClass cls || (ovl_strings && (cls `hasKey` isStringClassKey))
{-
Note [Avoiding spurious errors]
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
When doing the unification for defaulting, we check for skolem
type variables, and simply don't default them. For example:
f = (*) -- Monomorphic
g :: Num a => a -> a
g x = f x x
Here, we get a complaint when checking the type signature for g,
that g isn't polymorphic enough; but then we get another one when
dealing with the (Num a) context arising from f's definition;
we try to unify a with Int (to default it), but find that it's
already been unified with the rigid variable from g's type sig.
Note [Multi-parameter defaults]
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
With -XExtendedDefaultRules, we default only based on single-variable
constraints, but do not exclude from defaulting any type variables which also
appear in multi-variable constraints. This means that the following will
default properly:
default (Integer, Double)
class A b (c :: Symbol) where
a :: b -> Proxy c
instance A Integer c where a _ = Proxy
main = print (a 5 :: Proxy "5")
Note that if we change the above instance ("instance A Integer") to
"instance A Double", we get an error:
No instance for (A Integer "5")
This is because the first defaulted type (Integer) has successfully satisfied
its single-parameter constraints (in this case Num).
-}