{- This module defines types and simple operations over constraints, as used in the type-checker and constraint solver. -} {-# LANGUAGE CPP, GeneralizedNewtypeDeriving #-} module Constraint ( -- QCInst QCInst(..), isPendingScInst, -- Canonical constraints Xi, Ct(..), Cts, emptyCts, andCts, andManyCts, pprCts, singleCt, listToCts, ctsElts, consCts, snocCts, extendCtsList, isEmptyCts, isCTyEqCan, isCFunEqCan, isPendingScDict, superClassesMightHelp, getPendingWantedScs, isCDictCan_Maybe, isCFunEqCan_maybe, isCNonCanonical, isWantedCt, isDerivedCt, isGivenCt, isHoleCt, isOutOfScopeCt, isExprHoleCt, isTypeHoleCt, isUserTypeErrorCt, getUserTypeErrorMsg, ctEvidence, ctLoc, setCtLoc, ctPred, ctFlavour, ctEqRel, ctOrigin, ctEvId, mkTcEqPredLikeEv, mkNonCanonical, mkNonCanonicalCt, mkGivens, mkIrredCt, mkInsolubleCt, ctEvPred, ctEvLoc, ctEvOrigin, ctEvEqRel, ctEvExpr, ctEvTerm, ctEvCoercion, ctEvEvId, tyCoVarsOfCt, tyCoVarsOfCts, tyCoVarsOfCtList, tyCoVarsOfCtsList, WantedConstraints(..), insolubleWC, emptyWC, isEmptyWC, isSolvedWC, andWC, unionsWC, mkSimpleWC, mkImplicWC, addInsols, insolublesOnly, addSimples, addImplics, tyCoVarsOfWC, dropDerivedWC, dropDerivedSimples, tyCoVarsOfWCList, insolubleCt, insolubleEqCt, isDroppableCt, insolubleImplic, arisesFromGivens, Implication(..), implicationPrototype, ImplicStatus(..), isInsolubleStatus, isSolvedStatus, SubGoalDepth, initialSubGoalDepth, maxSubGoalDepth, bumpSubGoalDepth, subGoalDepthExceeded, CtLoc(..), ctLocSpan, ctLocEnv, ctLocLevel, ctLocOrigin, ctLocTypeOrKind_maybe, ctLocDepth, bumpCtLocDepth, isGivenLoc, setCtLocOrigin, updateCtLocOrigin, setCtLocEnv, setCtLocSpan, pprCtLoc, -- CtEvidence CtEvidence(..), TcEvDest(..), mkKindLoc, toKindLoc, mkGivenLoc, isWanted, isGiven, isDerived, isGivenOrWDeriv, ctEvRole, wrapType, wrapTypeWithImplication, CtFlavour(..), ShadowInfo(..), ctEvFlavour, CtFlavourRole, ctEvFlavourRole, ctFlavourRole, eqCanRewrite, eqCanRewriteFR, eqMayRewriteFR, eqCanDischargeFR, funEqCanDischarge, funEqCanDischargeF, -- Pretty printing pprEvVarTheta, pprEvVars, pprEvVarWithType, -- holes HoleSort(..), ) where #include "HsVersions.h" import GhcPrelude import {-# SOURCE #-} TcRnTypes ( TcLclEnv, setLclEnvTcLevel, getLclEnvTcLevel , setLclEnvLoc, getLclEnvLoc ) import Predicate import Type import Coercion import Class import TyCon import Var import Id import TcType import TcEvidence import TcOrigin import CoreSyn import TyCoPpr import OccName import FV import VarSet import DynFlags import BasicTypes import Outputable import SrcLoc import Bag import Util import Control.Monad ( msum ) {- ************************************************************************ * * * Canonical constraints * * * * These are the constraints the low-level simplifier works with * * * ************************************************************************ -} -- The syntax of xi (ξ) types: -- xi ::= a | T xis | xis -> xis | ... | forall a. tau -- Two important notes: -- (i) No type families, unless we are under a ForAll -- (ii) Note that xi types can contain unexpanded type synonyms; -- however, the (transitive) expansions of those type synonyms -- will not contain any type functions, unless we are under a ForAll. -- We enforce the structure of Xi types when we flatten (TcCanonical) type Xi = Type -- In many comments, "xi" ranges over Xi type Cts = Bag Ct data Ct -- Atomic canonical constraints = CDictCan { -- e.g. Num xi cc_ev :: CtEvidence, -- See Note [Ct/evidence invariant] cc_class :: Class, cc_tyargs :: [Xi], -- cc_tyargs are function-free, hence Xi cc_pend_sc :: Bool -- See Note [The superclass story] in TcCanonical -- True <=> (a) cc_class has superclasses -- (b) we have not (yet) added those -- superclasses as Givens } | CIrredCan { -- These stand for yet-unusable predicates cc_ev :: CtEvidence, -- See Note [Ct/evidence invariant] cc_insol :: Bool -- True <=> definitely an error, can never be solved -- False <=> might be soluble -- For the might-be-soluble case, the ctev_pred of the evidence is -- of form (tv xi1 xi2 ... xin) with a tyvar at the head -- or (tv1 ~ ty2) where the CTyEqCan kind invariant fails -- or (F tys ~ ty) where the CFunEqCan kind invariant fails -- See Note [CIrredCan constraints] -- The definitely-insoluble case is for things like -- Int ~ Bool tycons don't match -- a ~ [a] occurs check } | CTyEqCan { -- tv ~ rhs -- Invariants: -- * See Note [inert_eqs: the inert equalities] in TcSMonad -- * tv not in tvs(rhs) (occurs check) -- * If tv is a TauTv, then rhs has no foralls -- (this avoids substituting a forall for the tyvar in other types) -- * tcTypeKind ty `tcEqKind` tcTypeKind tv; Note [Ct kind invariant] -- * rhs may have at most one top-level cast -- * rhs (perhaps under the one cast) is *almost function-free*, -- See Note [Almost function-free] -- * If the equality is representational, rhs has no top-level newtype -- See Note [No top-level newtypes on RHS of representational -- equalities] in TcCanonical -- * If rhs (perhaps under the cast) is also a tv, then it is oriented -- to give best chance of -- unification happening; eg if rhs is touchable then lhs is too cc_ev :: CtEvidence, -- See Note [Ct/evidence invariant] cc_tyvar :: TcTyVar, cc_rhs :: TcType, -- Not necessarily function-free (hence not Xi) -- See invariants above cc_eq_rel :: EqRel -- INVARIANT: cc_eq_rel = ctEvEqRel cc_ev } | CFunEqCan { -- F xis ~ fsk -- Invariants: -- * isTypeFamilyTyCon cc_fun -- * tcTypeKind (F xis) = tyVarKind fsk; Note [Ct kind invariant] -- * always Nominal role cc_ev :: CtEvidence, -- See Note [Ct/evidence invariant] cc_fun :: TyCon, -- A type function cc_tyargs :: [Xi], -- cc_tyargs are function-free (hence Xi) -- Either under-saturated or exactly saturated -- *never* over-saturated (because if so -- we should have decomposed) cc_fsk :: TcTyVar -- [G] always a FlatSkolTv -- [W], [WD], or [D] always a FlatMetaTv -- See Note [The flattening story] in TcFlatten } | CNonCanonical { -- See Note [NonCanonical Semantics] in TcSMonad cc_ev :: CtEvidence } | CHoleCan { -- See Note [Hole constraints] -- Treated as an "insoluble" constraint -- See Note [Insoluble constraints] cc_ev :: CtEvidence, cc_occ :: OccName, -- The name of this hole cc_hole :: HoleSort -- The sort of this hole (expr, type, ...) } | CQuantCan QCInst -- A quantified constraint -- NB: I expect to make more of the cases in Ct -- look like this, with the payload in an -- auxiliary type ------------ data QCInst -- A much simplified version of ClsInst -- See Note [Quantified constraints] in TcCanonical = QCI { qci_ev :: CtEvidence -- Always of type forall tvs. context => ty -- Always Given , qci_tvs :: [TcTyVar] -- The tvs , qci_pred :: TcPredType -- The ty , qci_pend_sc :: Bool -- Same as cc_pend_sc flag in CDictCan -- Invariant: True => qci_pred is a ClassPred } instance Outputable QCInst where ppr (QCI { qci_ev = ev }) = ppr ev ------------ -- | Used to indicate which sort of hole we have. data HoleSort = ExprHole -- ^ Either an out-of-scope variable or a "true" hole in an -- expression (TypedHoles) | TypeHole -- ^ A hole in a type (PartialTypeSignatures) {- Note [Hole constraints] ~~~~~~~~~~~~~~~~~~~~~~~~~~ CHoleCan constraints are used for two kinds of holes, distinguished by cc_hole: * For holes in expressions e.g. f x = g _ x * For holes in type signatures e.g. f :: _ -> _ f x = [x,True] Note [CIrredCan constraints] ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ CIrredCan constraints are used for constraints that are "stuck" - we can't solve them (yet) - we can't use them to solve other constraints - but they may become soluble if we substitute for some of the type variables in the constraint Example 1: (c Int), where c :: * -> Constraint. We can't do anything with this yet, but if later c := Num, *then* we can solve it Example 2: a ~ b, where a :: *, b :: k, where k is a kind variable We don't want to use this to substitute 'b' for 'a', in case 'k' is subsequently unifed with (say) *->*, because then we'd have ill-kinded types floating about. Rather we want to defer using the equality altogether until 'k' get resolved. Note [Ct/evidence invariant] ~~~~~~~~~~~~~~~~~~~~~~~~~~~~ If ct :: Ct, then extra fields of 'ct' cache precisely the ctev_pred field of (cc_ev ct), and is fully rewritten wrt the substitution. Eg for CDictCan, ctev_pred (cc_ev ct) = (cc_class ct) (cc_tyargs ct) This holds by construction; look at the unique place where CDictCan is built (in TcCanonical). In contrast, the type of the evidence *term* (ctev_dest / ctev_evar) in the evidence may *not* be fully zonked; we are careful not to look at it during constraint solving. See Note [Evidence field of CtEvidence]. Note [Ct kind invariant] ~~~~~~~~~~~~~~~~~~~~~~~~ CTyEqCan and CFunEqCan both require that the kind of the lhs matches the kind of the rhs. This is necessary because both constraints are used for substitutions during solving. If the kinds differed, then the substitution would take a well-kinded type to an ill-kinded one. Note [Almost function-free] ~~~~~~~~~~~~~~~~~~~~~~~~~~~ A type is *almost function-free* if it has no type functions (something that responds True to isTypeFamilyTyCon), except (possibly) * under a forall, or * in a coercion (either in a CastTy or a CercionTy) The RHS of a CTyEqCan must be almost function-free. This is for two reasons: 1. There cannot be a top-level function. If there were, the equality should really be a CFunEqCan, not a CTyEqCan. 2. Nested functions aren't too bad, on the other hand. However, consider this scenario: type family F a = r | r -> a [D] F ty1 ~ fsk1 [D] F ty2 ~ fsk2 [D] fsk1 ~ [G Int] [D] fsk2 ~ [G Bool] type instance G Int = Char type instance G Bool = Char If it was the case that fsk1 = fsk2, then we could unifty ty1 and ty2 -- good! They don't look equal -- but if we aggressively reduce that G Int and G Bool they would become equal. The "almost function free" makes sure that these redexes are exposed. Note that this equality does *not* depend on casts or coercions, and so skipping these forms is OK. In addition, the result of a type family cannot be a polytype, so skipping foralls is OK, too. We skip foralls because we want the output of the flattener to be almost function-free. See Note [Flattening under a forall] in TcFlatten. As I (Richard E) write this, it is unclear if the scenario pictured above can happen -- I would expect the G Int and G Bool to be reduced. But perhaps it can arise somehow, and maintaining almost function-free is cheap. Historical note: CTyEqCans used to require only condition (1) above: that no type family was at the top of an RHS. But work on #16512 suggested that the injectivity checks were not complete, and adding the requirement that functions do not appear even in a nested fashion was easy (it was already true, but unenforced). The almost-function-free property is checked by isAlmostFunctionFree in TcType. The flattener (in TcFlatten) produces types that are almost function-free. -} mkNonCanonical :: CtEvidence -> Ct mkNonCanonical ev = CNonCanonical { cc_ev = ev } mkNonCanonicalCt :: Ct -> Ct mkNonCanonicalCt ct = CNonCanonical { cc_ev = cc_ev ct } mkIrredCt :: CtEvidence -> Ct mkIrredCt ev = CIrredCan { cc_ev = ev, cc_insol = False } mkInsolubleCt :: CtEvidence -> Ct mkInsolubleCt ev = CIrredCan { cc_ev = ev, cc_insol = True } mkGivens :: CtLoc -> [EvId] -> [Ct] mkGivens loc ev_ids = map mk ev_ids where mk ev_id = mkNonCanonical (CtGiven { ctev_evar = ev_id , ctev_pred = evVarPred ev_id , ctev_loc = loc }) ctEvidence :: Ct -> CtEvidence ctEvidence (CQuantCan (QCI { qci_ev = ev })) = ev ctEvidence ct = cc_ev ct ctLoc :: Ct -> CtLoc ctLoc = ctEvLoc . ctEvidence setCtLoc :: Ct -> CtLoc -> Ct setCtLoc ct loc = ct { cc_ev = (cc_ev ct) { ctev_loc = loc } } ctOrigin :: Ct -> CtOrigin ctOrigin = ctLocOrigin . ctLoc ctPred :: Ct -> PredType -- See Note [Ct/evidence invariant] ctPred ct = ctEvPred (ctEvidence ct) ctEvId :: Ct -> EvVar -- The evidence Id for this Ct ctEvId ct = ctEvEvId (ctEvidence ct) -- | Makes a new equality predicate with the same role as the given -- evidence. mkTcEqPredLikeEv :: CtEvidence -> TcType -> TcType -> TcType mkTcEqPredLikeEv ev = case predTypeEqRel pred of NomEq -> mkPrimEqPred ReprEq -> mkReprPrimEqPred where pred = ctEvPred ev -- | Get the flavour of the given 'Ct' ctFlavour :: Ct -> CtFlavour ctFlavour = ctEvFlavour . ctEvidence -- | Get the equality relation for the given 'Ct' ctEqRel :: Ct -> EqRel ctEqRel = ctEvEqRel . ctEvidence instance Outputable Ct where ppr ct = ppr (ctEvidence ct) <+> parens pp_sort where pp_sort = case ct of CTyEqCan {} -> text "CTyEqCan" CFunEqCan {} -> text "CFunEqCan" CNonCanonical {} -> text "CNonCanonical" CDictCan { cc_pend_sc = pend_sc } | pend_sc -> text "CDictCan(psc)" | otherwise -> text "CDictCan" CIrredCan { cc_insol = insol } | insol -> text "CIrredCan(insol)" | otherwise -> text "CIrredCan(sol)" CHoleCan { cc_occ = occ } -> text "CHoleCan:" <+> ppr occ CQuantCan (QCI { qci_pend_sc = pend_sc }) | pend_sc -> text "CQuantCan(psc)" | otherwise -> text "CQuantCan" {- ************************************************************************ * * Simple functions over evidence variables * * ************************************************************************ -} ---------------- Getting free tyvars ------------------------- -- | Returns free variables of constraints as a non-deterministic set tyCoVarsOfCt :: Ct -> TcTyCoVarSet tyCoVarsOfCt = fvVarSet . tyCoFVsOfCt -- | Returns free variables of constraints as a deterministically ordered. -- list. See Note [Deterministic FV] in FV. tyCoVarsOfCtList :: Ct -> [TcTyCoVar] tyCoVarsOfCtList = fvVarList . tyCoFVsOfCt -- | Returns free variables of constraints as a composable FV computation. -- See Note [Deterministic FV] in FV. tyCoFVsOfCt :: Ct -> FV tyCoFVsOfCt (CTyEqCan { cc_tyvar = tv, cc_rhs = xi }) = tyCoFVsOfType xi `unionFV` FV.unitFV tv `unionFV` tyCoFVsOfType (tyVarKind tv) tyCoFVsOfCt (CFunEqCan { cc_tyargs = tys, cc_fsk = fsk }) = tyCoFVsOfTypes tys `unionFV` FV.unitFV fsk `unionFV` tyCoFVsOfType (tyVarKind fsk) tyCoFVsOfCt (CDictCan { cc_tyargs = tys }) = tyCoFVsOfTypes tys tyCoFVsOfCt ct = tyCoFVsOfType (ctPred ct) -- | Returns free variables of a bag of constraints as a non-deterministic -- set. See Note [Deterministic FV] in FV. tyCoVarsOfCts :: Cts -> TcTyCoVarSet tyCoVarsOfCts = fvVarSet . tyCoFVsOfCts -- | Returns free variables of a bag of constraints as a deterministically -- odered list. See Note [Deterministic FV] in FV. tyCoVarsOfCtsList :: Cts -> [TcTyCoVar] tyCoVarsOfCtsList = fvVarList . tyCoFVsOfCts -- | Returns free variables of a bag of constraints as a composable FV -- computation. See Note [Deterministic FV] in FV. tyCoFVsOfCts :: Cts -> FV tyCoFVsOfCts = foldr (unionFV . tyCoFVsOfCt) emptyFV -- | Returns free variables of WantedConstraints as a non-deterministic -- set. See Note [Deterministic FV] in FV. tyCoVarsOfWC :: WantedConstraints -> TyCoVarSet -- Only called on *zonked* things, hence no need to worry about flatten-skolems tyCoVarsOfWC = fvVarSet . tyCoFVsOfWC -- | Returns free variables of WantedConstraints as a deterministically -- ordered list. See Note [Deterministic FV] in FV. tyCoVarsOfWCList :: WantedConstraints -> [TyCoVar] -- Only called on *zonked* things, hence no need to worry about flatten-skolems tyCoVarsOfWCList = fvVarList . tyCoFVsOfWC -- | Returns free variables of WantedConstraints as a composable FV -- computation. See Note [Deterministic FV] in FV. tyCoFVsOfWC :: WantedConstraints -> FV -- Only called on *zonked* things, hence no need to worry about flatten-skolems tyCoFVsOfWC (WC { wc_simple = simple, wc_impl = implic }) = tyCoFVsOfCts simple `unionFV` tyCoFVsOfBag tyCoFVsOfImplic implic -- | Returns free variables of Implication as a composable FV computation. -- See Note [Deterministic FV] in FV. tyCoFVsOfImplic :: Implication -> FV -- Only called on *zonked* things, hence no need to worry about flatten-skolems tyCoFVsOfImplic (Implic { ic_skols = skols , ic_given = givens , ic_wanted = wanted }) | isEmptyWC wanted = emptyFV | otherwise = tyCoFVsVarBndrs skols $ tyCoFVsVarBndrs givens $ tyCoFVsOfWC wanted tyCoFVsOfBag :: (a -> FV) -> Bag a -> FV tyCoFVsOfBag tvs_of = foldr (unionFV . tvs_of) emptyFV --------------------------- dropDerivedWC :: WantedConstraints -> WantedConstraints -- See Note [Dropping derived constraints] dropDerivedWC wc@(WC { wc_simple = simples }) = wc { wc_simple = dropDerivedSimples simples } -- The wc_impl implications are already (recursively) filtered -------------------------- dropDerivedSimples :: Cts -> Cts -- Drop all Derived constraints, but make [W] back into [WD], -- so that if we re-simplify these constraints we will get all -- the right derived constraints re-generated. Forgetting this -- step led to #12936 dropDerivedSimples simples = mapMaybeBag dropDerivedCt simples dropDerivedCt :: Ct -> Maybe Ct dropDerivedCt ct = case ctEvFlavour ev of Wanted WOnly -> Just (ct' { cc_ev = ev_wd }) Wanted _ -> Just ct' _ | isDroppableCt ct -> Nothing | otherwise -> Just ct where ev = ctEvidence ct ev_wd = ev { ctev_nosh = WDeriv } ct' = setPendingScDict ct -- See Note [Resetting cc_pend_sc] {- Note [Resetting cc_pend_sc] ~~~~~~~~~~~~~~~~~~~~~~~~~~~ When we discard Derived constraints, in dropDerivedSimples, we must set the cc_pend_sc flag to True, so that if we re-process this CDictCan we will re-generate its derived superclasses. Otherwise we might miss some fundeps. #13662 showed this up. See Note [The superclass story] in TcCanonical. -} isDroppableCt :: Ct -> Bool isDroppableCt ct = isDerived ev && not keep_deriv -- Drop only derived constraints, and then only if they -- obey Note [Dropping derived constraints] where ev = ctEvidence ct loc = ctEvLoc ev orig = ctLocOrigin loc keep_deriv = case ct of CHoleCan {} -> True CIrredCan { cc_insol = insoluble } -> keep_eq insoluble _ -> keep_eq False keep_eq definitely_insoluble | isGivenOrigin orig -- Arising only from givens = definitely_insoluble -- Keep only definitely insoluble | otherwise = case orig of KindEqOrigin {} -> True -- See Note [Dropping derived constraints] -- See Note [Dropping derived constraints] -- For fundeps, drop wanted/wanted interactions FunDepOrigin2 {} -> True -- Top-level/Wanted FunDepOrigin1 _ orig1 _ _ orig2 _ | g1 || g2 -> True -- Given/Wanted errors: keep all | otherwise -> False -- Wanted/Wanted errors: discard where g1 = isGivenOrigin orig1 g2 = isGivenOrigin orig2 _ -> False arisesFromGivens :: Ct -> Bool arisesFromGivens ct = case ctEvidence ct of CtGiven {} -> True CtWanted {} -> False CtDerived { ctev_loc = loc } -> isGivenLoc loc isGivenLoc :: CtLoc -> Bool isGivenLoc loc = isGivenOrigin (ctLocOrigin loc) {- Note [Dropping derived constraints] ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ In general we discard derived constraints at the end of constraint solving; see dropDerivedWC. For example * Superclasses: if we have an unsolved [W] (Ord a), we don't want to complain about an unsolved [D] (Eq a) as well. * If we have [W] a ~ Int, [W] a ~ Bool, improvement will generate [D] Int ~ Bool, and we don't want to report that because it's incomprehensible. That is why we don't rewrite wanteds with wanteds! * We might float out some Wanteds from an implication, leaving behind their insoluble Deriveds. For example: forall a[2]. [W] alpha[1] ~ Int [W] alpha[1] ~ Bool [D] Int ~ Bool The Derived is insoluble, but we very much want to drop it when floating out. But (tiresomely) we do keep *some* Derived constraints: * Type holes are derived constraints, because they have no evidence and we want to keep them, so we get the error report * Insoluble kind equalities (e.g. [D] * ~ (* -> *)), with KindEqOrigin, may arise from a type equality a ~ Int#, say. See Note [Equalities with incompatible kinds] in TcCanonical. Keeping these around produces better error messages, in practice. E.g., test case dependent/should_fail/T11471 * We keep most derived equalities arising from functional dependencies - Given/Given interactions (subset of FunDepOrigin1): The definitely-insoluble ones reflect unreachable code. Others not-definitely-insoluble ones like [D] a ~ Int do not reflect unreachable code; indeed if fundeps generated proofs, it'd be a useful equality. See #14763. So we discard them. - Given/Wanted interacGiven or Wanted interacting with an instance declaration (FunDepOrigin2) - Given/Wanted interactions (FunDepOrigin1); see #9612 - But for Wanted/Wanted interactions we do /not/ want to report an error (#13506). Consider [W] C Int Int, [W] C Int Bool, with a fundep on class C. We don't want to report an insoluble Int~Bool; c.f. "wanteds do not rewrite wanteds". To distinguish these cases we use the CtOrigin. NB: we keep *all* derived insolubles under some circumstances: * They are looked at by simplifyInfer, to decide whether to generalise. Example: [W] a ~ Int, [W] a ~ Bool We get [D] Int ~ Bool, and indeed the constraints are insoluble, and we want simplifyInfer to see that, even though we don't ultimately want to generate an (inexplicable) error message from it ************************************************************************ * * CtEvidence The "flavor" of a canonical constraint * * ************************************************************************ -} isWantedCt :: Ct -> Bool isWantedCt = isWanted . ctEvidence isGivenCt :: Ct -> Bool isGivenCt = isGiven . ctEvidence isDerivedCt :: Ct -> Bool isDerivedCt = isDerived . ctEvidence isCTyEqCan :: Ct -> Bool isCTyEqCan (CTyEqCan {}) = True isCTyEqCan (CFunEqCan {}) = False isCTyEqCan _ = False isCDictCan_Maybe :: Ct -> Maybe Class isCDictCan_Maybe (CDictCan {cc_class = cls }) = Just cls isCDictCan_Maybe _ = Nothing isCFunEqCan_maybe :: Ct -> Maybe (TyCon, [Type]) isCFunEqCan_maybe (CFunEqCan { cc_fun = tc, cc_tyargs = xis }) = Just (tc, xis) isCFunEqCan_maybe _ = Nothing isCFunEqCan :: Ct -> Bool isCFunEqCan (CFunEqCan {}) = True isCFunEqCan _ = False isCNonCanonical :: Ct -> Bool isCNonCanonical (CNonCanonical {}) = True isCNonCanonical _ = False isHoleCt:: Ct -> Bool isHoleCt (CHoleCan {}) = True isHoleCt _ = False isOutOfScopeCt :: Ct -> Bool -- A Hole that does not have a leading underscore is -- simply an out-of-scope variable, and we treat that -- a bit differently when it comes to error reporting isOutOfScopeCt (CHoleCan { cc_occ = occ }) = not (startsWithUnderscore occ) isOutOfScopeCt _ = False isExprHoleCt :: Ct -> Bool isExprHoleCt (CHoleCan { cc_hole = ExprHole }) = True isExprHoleCt _ = False isTypeHoleCt :: Ct -> Bool isTypeHoleCt (CHoleCan { cc_hole = TypeHole }) = True isTypeHoleCt _ = False {- Note [Custom type errors in constraints] ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ When GHC reports a type-error about an unsolved-constraint, we check to see if the constraint contains any custom-type errors, and if so we report them. Here are some examples of constraints containing type errors: TypeError msg -- The actual constraint is a type error TypError msg ~ Int -- Some type was supposed to be Int, but ended up -- being a type error instead Eq (TypeError msg) -- A class constraint is stuck due to a type error F (TypeError msg) ~ a -- A type function failed to evaluate due to a type err It is also possible to have constraints where the type error is nested deeper, for example see #11990, and also: Eq (F (TypeError msg)) -- Here the type error is nested under a type-function -- call, which failed to evaluate because of it, -- and so the `Eq` constraint was unsolved. -- This may happen when one function calls another -- and the called function produced a custom type error. -} -- | A constraint is considered to be a custom type error, if it contains -- custom type errors anywhere in it. -- See Note [Custom type errors in constraints] getUserTypeErrorMsg :: Ct -> Maybe Type getUserTypeErrorMsg ct = findUserTypeError (ctPred ct) where findUserTypeError t = msum ( userTypeError_maybe t : map findUserTypeError (subTys t) ) subTys t = case splitAppTys t of (t,[]) -> case splitTyConApp_maybe t of Nothing -> [] Just (_,ts) -> ts (t,ts) -> t : ts isUserTypeErrorCt :: Ct -> Bool isUserTypeErrorCt ct = case getUserTypeErrorMsg ct of Just _ -> True _ -> False isPendingScDict :: Ct -> Maybe Ct -- Says whether this is a CDictCan with cc_pend_sc is True, -- AND if so flips the flag isPendingScDict ct@(CDictCan { cc_pend_sc = True }) = Just (ct { cc_pend_sc = False }) isPendingScDict _ = Nothing isPendingScInst :: QCInst -> Maybe QCInst -- Same as isPrendinScDict, but for QCInsts isPendingScInst qci@(QCI { qci_pend_sc = True }) = Just (qci { qci_pend_sc = False }) isPendingScInst _ = Nothing setPendingScDict :: Ct -> Ct -- Set the cc_pend_sc flag to True setPendingScDict ct@(CDictCan { cc_pend_sc = False }) = ct { cc_pend_sc = True } setPendingScDict ct = ct superClassesMightHelp :: WantedConstraints -> Bool -- ^ True if taking superclasses of givens, or of wanteds (to perhaps -- expose more equalities or functional dependencies) might help to -- solve this constraint. See Note [When superclasses help] superClassesMightHelp (WC { wc_simple = simples, wc_impl = implics }) = anyBag might_help_ct simples || anyBag might_help_implic implics where might_help_implic ic | IC_Unsolved <- ic_status ic = superClassesMightHelp (ic_wanted ic) | otherwise = False might_help_ct ct = isWantedCt ct && not (is_ip ct) is_ip (CDictCan { cc_class = cls }) = isIPClass cls is_ip _ = False getPendingWantedScs :: Cts -> ([Ct], Cts) getPendingWantedScs simples = mapAccumBagL get [] simples where get acc ct | Just ct' <- isPendingScDict ct = (ct':acc, ct') | otherwise = (acc, ct) {- Note [When superclasses help] ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ First read Note [The superclass story] in TcCanonical. We expand superclasses and iterate only if there is at unsolved wanted for which expansion of superclasses (e.g. from given constraints) might actually help. The function superClassesMightHelp tells if doing this superclass expansion might help solve this constraint. Note that * We look inside implications; maybe it'll help to expand the Givens at level 2 to help solve an unsolved Wanted buried inside an implication. E.g. forall a. Ord a => forall b. [W] Eq a * Superclasses help only for Wanted constraints. Derived constraints are not really "unsolved" and we certainly don't want them to trigger superclass expansion. This was a good part of the loop in #11523 * Even for Wanted constraints, we say "no" for implicit parameters. we have [W] ?x::ty, expanding superclasses won't help: - Superclasses can't be implicit parameters - If we have a [G] ?x:ty2, then we'll have another unsolved [D] ty ~ ty2 (from the functional dependency) which will trigger superclass expansion. It's a bit of a special case, but it's easy to do. The runtime cost is low because the unsolved set is usually empty anyway (errors aside), and the first non-imlicit-parameter will terminate the search. The special case is worth it (#11480, comment:2) because it applies to CallStack constraints, which aren't type errors. If we have f :: (C a) => blah f x = ...undefined... we'll get a CallStack constraint. If that's the only unsolved constraint it'll eventually be solved by defaulting. So we don't want to emit warnings about hitting the simplifier's iteration limit. A CallStack constraint really isn't an unsolved constraint; it can always be solved by defaulting. -} singleCt :: Ct -> Cts singleCt = unitBag andCts :: Cts -> Cts -> Cts andCts = unionBags listToCts :: [Ct] -> Cts listToCts = listToBag ctsElts :: Cts -> [Ct] ctsElts = bagToList consCts :: Ct -> Cts -> Cts consCts = consBag snocCts :: Cts -> Ct -> Cts snocCts = snocBag extendCtsList :: Cts -> [Ct] -> Cts extendCtsList cts xs | null xs = cts | otherwise = cts `unionBags` listToBag xs andManyCts :: [Cts] -> Cts andManyCts = unionManyBags emptyCts :: Cts emptyCts = emptyBag isEmptyCts :: Cts -> Bool isEmptyCts = isEmptyBag pprCts :: Cts -> SDoc pprCts cts = vcat (map ppr (bagToList cts)) {- ************************************************************************ * * Wanted constraints These are forced to be in TcRnTypes because TcLclEnv mentions WantedConstraints WantedConstraint mentions CtLoc CtLoc mentions ErrCtxt ErrCtxt mentions TcM * * v%************************************************************************ -} data WantedConstraints = WC { wc_simple :: Cts -- Unsolved constraints, all wanted , wc_impl :: Bag Implication } emptyWC :: WantedConstraints emptyWC = WC { wc_simple = emptyBag, wc_impl = emptyBag } mkSimpleWC :: [CtEvidence] -> WantedConstraints mkSimpleWC cts = WC { wc_simple = listToBag (map mkNonCanonical cts) , wc_impl = emptyBag } mkImplicWC :: Bag Implication -> WantedConstraints mkImplicWC implic = WC { wc_simple = emptyBag, wc_impl = implic } isEmptyWC :: WantedConstraints -> Bool isEmptyWC (WC { wc_simple = f, wc_impl = i }) = isEmptyBag f && isEmptyBag i -- | Checks whether a the given wanted constraints are solved, i.e. -- that there are no simple constraints left and all the implications -- are solved. isSolvedWC :: WantedConstraints -> Bool isSolvedWC WC {wc_simple = wc_simple, wc_impl = wc_impl} = isEmptyBag wc_simple && allBag (isSolvedStatus . ic_status) wc_impl andWC :: WantedConstraints -> WantedConstraints -> WantedConstraints andWC (WC { wc_simple = f1, wc_impl = i1 }) (WC { wc_simple = f2, wc_impl = i2 }) = WC { wc_simple = f1 `unionBags` f2 , wc_impl = i1 `unionBags` i2 } unionsWC :: [WantedConstraints] -> WantedConstraints unionsWC = foldr andWC emptyWC addSimples :: WantedConstraints -> Bag Ct -> WantedConstraints addSimples wc cts = wc { wc_simple = wc_simple wc `unionBags` cts } -- Consider: Put the new constraints at the front, so they get solved first addImplics :: WantedConstraints -> Bag Implication -> WantedConstraints addImplics wc implic = wc { wc_impl = wc_impl wc `unionBags` implic } addInsols :: WantedConstraints -> Bag Ct -> WantedConstraints addInsols wc cts = wc { wc_simple = wc_simple wc `unionBags` cts } insolublesOnly :: WantedConstraints -> WantedConstraints -- Keep only the definitely-insoluble constraints insolublesOnly (WC { wc_simple = simples, wc_impl = implics }) = WC { wc_simple = filterBag insolubleCt simples , wc_impl = mapBag implic_insols_only implics } where implic_insols_only implic = implic { ic_wanted = insolublesOnly (ic_wanted implic) } isSolvedStatus :: ImplicStatus -> Bool isSolvedStatus (IC_Solved {}) = True isSolvedStatus _ = False isInsolubleStatus :: ImplicStatus -> Bool isInsolubleStatus IC_Insoluble = True isInsolubleStatus IC_BadTelescope = True isInsolubleStatus _ = False insolubleImplic :: Implication -> Bool insolubleImplic ic = isInsolubleStatus (ic_status ic) insolubleWC :: WantedConstraints -> Bool insolubleWC (WC { wc_impl = implics, wc_simple = simples }) = anyBag insolubleCt simples || anyBag insolubleImplic implics insolubleCt :: Ct -> Bool -- Definitely insoluble, in particular /excluding/ type-hole constraints -- Namely: a) an equality constraint -- b) that is insoluble -- c) and does not arise from a Given insolubleCt ct | isHoleCt ct = isOutOfScopeCt ct -- See Note [Insoluble holes] | not (insolubleEqCt ct) = False | arisesFromGivens ct = False -- See Note [Given insolubles] | otherwise = True insolubleEqCt :: Ct -> Bool -- Returns True of /equality/ constraints -- that are /definitely/ insoluble -- It won't detect some definite errors like -- F a ~ T (F a) -- where F is a type family, which actually has an occurs check -- -- The function is tuned for application /after/ constraint solving -- i.e. assuming canonicalisation has been done -- E.g. It'll reply True for a ~ [a] -- but False for [a] ~ a -- and -- True for Int ~ F a Int -- but False for Maybe Int ~ F a Int Int -- (where F is an arity-1 type function) insolubleEqCt (CIrredCan { cc_insol = insol }) = insol insolubleEqCt _ = False instance Outputable WantedConstraints where ppr (WC {wc_simple = s, wc_impl = i}) = text "WC" <+> braces (vcat [ ppr_bag (text "wc_simple") s , ppr_bag (text "wc_impl") i ]) ppr_bag :: Outputable a => SDoc -> Bag a -> SDoc ppr_bag doc bag | isEmptyBag bag = empty | otherwise = hang (doc <+> equals) 2 (foldr (($$) . ppr) empty bag) {- Note [Given insolubles] ~~~~~~~~~~~~~~~~~~~~~~~~~~ Consider (#14325, comment:) class (a~b) => C a b foo :: C a c => a -> c foo x = x hm3 :: C (f b) b => b -> f b hm3 x = foo x In the RHS of hm3, from the [G] C (f b) b we get the insoluble [G] f b ~# b. Then we also get an unsolved [W] C b (f b). Residual implication looks like forall b. C (f b) b => [G] f b ~# b [W] C f (f b) We do /not/ want to set the implication status to IC_Insoluble, because that'll suppress reports of [W] C b (f b). But we may not report the insoluble [G] f b ~# b either (see Note [Given errors] in TcErrors), so we may fail to report anything at all! Yikes. The same applies to Derived constraints that /arise from/ Givens. E.g. f :: (C Int [a]) => blah where a fundep means we get [D] Int ~ [a] By the same reasoning we must not suppress other errors (#15767) Bottom line: insolubleWC (called in TcSimplify.setImplicationStatus) should ignore givens even if they are insoluble. Note [Insoluble holes] ~~~~~~~~~~~~~~~~~~~~~~ Hole constraints that ARE NOT treated as truly insoluble: a) type holes, arising from PartialTypeSignatures, b) "true" expression holes arising from TypedHoles An "expression hole" or "type hole" constraint isn't really an error at all; it's a report saying "_ :: Int" here. But an out-of-scope variable masquerading as expression holes IS treated as truly insoluble, so that it trumps other errors during error reporting. Yuk! ************************************************************************ * * Implication constraints * * ************************************************************************ -} data Implication = Implic { -- Invariants for a tree of implications: -- see TcType Note [TcLevel and untouchable type variables] ic_tclvl :: TcLevel, -- TcLevel of unification variables -- allocated /inside/ this implication ic_skols :: [TcTyVar], -- Introduced skolems ic_info :: SkolemInfo, -- See Note [Skolems in an implication] -- See Note [Shadowing in a constraint] ic_telescope :: Maybe SDoc, -- User-written telescope, if there is one -- See Note [Checking telescopes] ic_given :: [EvVar], -- Given evidence variables -- (order does not matter) -- See Invariant (GivenInv) in TcType ic_no_eqs :: Bool, -- True <=> ic_givens have no equalities, for sure -- False <=> ic_givens might have equalities ic_warn_inaccessible :: Bool, -- True <=> -Winaccessible-code is enabled -- at construction. See -- Note [Avoid -Winaccessible-code when deriving] -- in TcInstDcls ic_env :: TcLclEnv, -- Records the TcLClEnv at the time of creation. -- -- The TcLclEnv gives the source location -- and error context for the implication, and -- hence for all the given evidence variables. ic_wanted :: WantedConstraints, -- The wanteds -- See Invariang (WantedInf) in TcType ic_binds :: EvBindsVar, -- Points to the place to fill in the -- abstraction and bindings. -- The ic_need fields keep track of which Given evidence -- is used by this implication or its children -- NB: including stuff used by nested implications that have since -- been discarded -- See Note [Needed evidence variables] ic_need_inner :: VarSet, -- Includes all used Given evidence ic_need_outer :: VarSet, -- Includes only the free Given evidence -- i.e. ic_need_inner after deleting -- (a) givens (b) binders of ic_binds ic_status :: ImplicStatus } implicationPrototype :: Implication implicationPrototype = Implic { -- These fields must be initialised ic_tclvl = panic "newImplic:tclvl" , ic_binds = panic "newImplic:binds" , ic_info = panic "newImplic:info" , ic_env = panic "newImplic:env" , ic_warn_inaccessible = panic "newImplic:warn_inaccessible" -- The rest have sensible default values , ic_skols = [] , ic_telescope = Nothing , ic_given = [] , ic_wanted = emptyWC , ic_no_eqs = False , ic_status = IC_Unsolved , ic_need_inner = emptyVarSet , ic_need_outer = emptyVarSet } data ImplicStatus = IC_Solved -- All wanteds in the tree are solved, all the way down { ics_dead :: [EvVar] } -- Subset of ic_given that are not needed -- See Note [Tracking redundant constraints] in TcSimplify | IC_Insoluble -- At least one insoluble constraint in the tree | IC_BadTelescope -- solved, but the skolems in the telescope are out of -- dependency order | IC_Unsolved -- Neither of the above; might go either way instance Outputable Implication where ppr (Implic { ic_tclvl = tclvl, ic_skols = skols , ic_given = given, ic_no_eqs = no_eqs , ic_wanted = wanted, ic_status = status , ic_binds = binds , ic_need_inner = need_in, ic_need_outer = need_out , ic_info = info }) = hang (text "Implic" <+> lbrace) 2 (sep [ text "TcLevel =" <+> ppr tclvl , text "Skolems =" <+> pprTyVars skols , text "No-eqs =" <+> ppr no_eqs , text "Status =" <+> ppr status , hang (text "Given =") 2 (pprEvVars given) , hang (text "Wanted =") 2 (ppr wanted) , text "Binds =" <+> ppr binds , whenPprDebug (text "Needed inner =" <+> ppr need_in) , whenPprDebug (text "Needed outer =" <+> ppr need_out) , pprSkolInfo info ] <+> rbrace) instance Outputable ImplicStatus where ppr IC_Insoluble = text "Insoluble" ppr IC_BadTelescope = text "Bad telescope" ppr IC_Unsolved = text "Unsolved" ppr (IC_Solved { ics_dead = dead }) = text "Solved" <+> (braces (text "Dead givens =" <+> ppr dead)) {- Note [Checking telescopes] ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ When kind-checking a /user-written/ type, we might have a "bad telescope" like this one: data SameKind :: forall k. k -> k -> Type type Foo :: forall a k (b :: k). SameKind a b -> Type The kind of 'a' mentions 'k' which is bound after 'a'. Oops. Knowing this means that unification etc must have happened, so it's convenient to detect it in the constraint solver: * We make a single implication constraint when kind-checking the 'forall' in Foo's kind, something like forall a k (b::k). { wanted constraints } * Having solved {wanted}, before discarding the now-solved implication, the costraint solver checks the dependency order of the skolem variables (ic_skols). This is done in setImplicationStatus. * This check is only necessary if the implication was born from a user-written signature. If, say, it comes from checking a pattern match that binds existentials, where the type of the data constructor is known to be valid (it in tcConPat), no need for the check. So the check is done if and only if ic_telescope is (Just blah). * If ic_telesope is (Just d), the d::SDoc displays the original, user-written type variables. * Be careful /NOT/ to discard an implication with non-Nothing ic_telescope, even if ic_wanted is empty. We must give the constraint solver a chance to make that bad-telesope test! Hence the extra guard in emitResidualTvConstraint; see #16247 See also TcHsType Note [Keeping scoped variables in order: Explicit] Note [Needed evidence variables] ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ Th ic_need_evs field holds the free vars of ic_binds, and all the ic_binds in nested implications. * Main purpose: if one of the ic_givens is not mentioned in here, it is redundant. * solveImplication may drop an implication altogether if it has no remaining 'wanteds'. But we still track the free vars of its evidence binds, even though it has now disappeared. Note [Shadowing in a constraint] ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ We assume NO SHADOWING in a constraint. Specifically * The unification variables are all implicitly quantified at top level, and are all unique * The skolem variables bound in ic_skols are all freah when the implication is created. So we can safely substitute. For example, if we have forall a. a~Int => ...(forall b. ...a...)... we can push the (a~Int) constraint inwards in the "givens" without worrying that 'b' might clash. Note [Skolems in an implication] ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ The skolems in an implication are not there to perform a skolem escape check. That happens because all the environment variables are in the untouchables, and therefore cannot be unified with anything at all, let alone the skolems. Instead, ic_skols is used only when considering floating a constraint outside the implication in TcSimplify.floatEqualities or TcSimplify.approximateImplications Note [Insoluble constraints] ~~~~~~~~~~~~~~~~~~~~~~~~~~~~ Some of the errors that we get during canonicalization are best reported when all constraints have been simplified as much as possible. For instance, assume that during simplification the following constraints arise: [Wanted] F alpha ~ uf1 [Wanted] beta ~ uf1 beta When canonicalizing the wanted (beta ~ uf1 beta), if we eagerly fail we will simply see a message: 'Can't construct the infinite type beta ~ uf1 beta' and the user has no idea what the uf1 variable is. Instead our plan is that we will NOT fail immediately, but: (1) Record the "frozen" error in the ic_insols field (2) Isolate the offending constraint from the rest of the inerts (3) Keep on simplifying/canonicalizing At the end, we will hopefully have substituted uf1 := F alpha, and we will be able to report a more informative error: 'Can't construct the infinite type beta ~ F alpha beta' Insoluble constraints *do* include Derived constraints. For example, a functional dependency might give rise to [D] Int ~ Bool, and we must report that. If insolubles did not contain Deriveds, reportErrors would never see it. ************************************************************************ * * Pretty printing * * ************************************************************************ -} pprEvVars :: [EvVar] -> SDoc -- Print with their types pprEvVars ev_vars = vcat (map pprEvVarWithType ev_vars) pprEvVarTheta :: [EvVar] -> SDoc pprEvVarTheta ev_vars = pprTheta (map evVarPred ev_vars) pprEvVarWithType :: EvVar -> SDoc pprEvVarWithType v = ppr v <+> dcolon <+> pprType (evVarPred v) -- | Wraps the given type with the constraints (via ic_given) in the given -- implication, according to the variables mentioned (via ic_skols) -- in the implication, but taking care to only wrap those variables -- that are mentioned in the type or the implication. wrapTypeWithImplication :: Type -> Implication -> Type wrapTypeWithImplication ty impl = wrapType ty mentioned_skols givens where givens = map idType $ ic_given impl skols = ic_skols impl freeVars = fvVarSet $ tyCoFVsOfTypes (ty:givens) mentioned_skols = filter (`elemVarSet` freeVars) skols wrapType :: Type -> [TyVar] -> [PredType] -> Type wrapType ty skols givens = mkSpecForAllTys skols $ mkPhiTy givens ty {- ************************************************************************ * * CtEvidence * * ************************************************************************ Note [Evidence field of CtEvidence] ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ During constraint solving we never look at the type of ctev_evar/ctev_dest; instead we look at the ctev_pred field. The evtm/evar field may be un-zonked. Note [Bind new Givens immediately] ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ For Givens we make new EvVars and bind them immediately. Two main reasons: * Gain sharing. E.g. suppose we start with g :: C a b, where class D a => C a b class (E a, F a) => D a If we generate all g's superclasses as separate EvTerms we might get selD1 (selC1 g) :: E a selD2 (selC1 g) :: F a selC1 g :: D a which we could do more economically as: g1 :: D a = selC1 g g2 :: E a = selD1 g1 g3 :: F a = selD2 g1 * For *coercion* evidence we *must* bind each given: class (a~b) => C a b where .... f :: C a b => .... Then in f's Givens we have g:(C a b) and the superclass sc(g,0):a~b. But that superclass selector can't (yet) appear in a coercion (see evTermCoercion), so the easy thing is to bind it to an Id. So a Given has EvVar inside it rather than (as previously) an EvTerm. -} -- | A place for type-checking evidence to go after it is generated. -- Wanted equalities are always HoleDest; other wanteds are always -- EvVarDest. data TcEvDest = EvVarDest EvVar -- ^ bind this var to the evidence -- EvVarDest is always used for non-type-equalities -- e.g. class constraints | HoleDest CoercionHole -- ^ fill in this hole with the evidence -- HoleDest is always used for type-equalities -- See Note [Coercion holes] in TyCoRep data CtEvidence = CtGiven -- Truly given, not depending on subgoals { ctev_pred :: TcPredType -- See Note [Ct/evidence invariant] , ctev_evar :: EvVar -- See Note [Evidence field of CtEvidence] , ctev_loc :: CtLoc } | CtWanted -- Wanted goal { ctev_pred :: TcPredType -- See Note [Ct/evidence invariant] , ctev_dest :: TcEvDest , ctev_nosh :: ShadowInfo -- See Note [Constraint flavours] , ctev_loc :: CtLoc } | CtDerived -- A goal that we don't really have to solve and can't -- immediately rewrite anything other than a derived -- (there's no evidence!) but if we do manage to solve -- it may help in solving other goals. { ctev_pred :: TcPredType , ctev_loc :: CtLoc } ctEvPred :: CtEvidence -> TcPredType -- The predicate of a flavor ctEvPred = ctev_pred ctEvLoc :: CtEvidence -> CtLoc ctEvLoc = ctev_loc ctEvOrigin :: CtEvidence -> CtOrigin ctEvOrigin = ctLocOrigin . ctEvLoc -- | Get the equality relation relevant for a 'CtEvidence' ctEvEqRel :: CtEvidence -> EqRel ctEvEqRel = predTypeEqRel . ctEvPred -- | Get the role relevant for a 'CtEvidence' ctEvRole :: CtEvidence -> Role ctEvRole = eqRelRole . ctEvEqRel ctEvTerm :: CtEvidence -> EvTerm ctEvTerm ev = EvExpr (ctEvExpr ev) ctEvExpr :: CtEvidence -> EvExpr ctEvExpr ev@(CtWanted { ctev_dest = HoleDest _ }) = Coercion $ ctEvCoercion ev ctEvExpr ev = evId (ctEvEvId ev) ctEvCoercion :: HasDebugCallStack => CtEvidence -> TcCoercion ctEvCoercion (CtGiven { ctev_evar = ev_id }) = mkTcCoVarCo ev_id ctEvCoercion (CtWanted { ctev_dest = dest }) | HoleDest hole <- dest = -- ctEvCoercion is only called on type equalities -- and they always have HoleDests mkHoleCo hole ctEvCoercion ev = pprPanic "ctEvCoercion" (ppr ev) ctEvEvId :: CtEvidence -> EvVar ctEvEvId (CtWanted { ctev_dest = EvVarDest ev }) = ev ctEvEvId (CtWanted { ctev_dest = HoleDest h }) = coHoleCoVar h ctEvEvId (CtGiven { ctev_evar = ev }) = ev ctEvEvId ctev@(CtDerived {}) = pprPanic "ctEvId:" (ppr ctev) instance Outputable TcEvDest where ppr (HoleDest h) = text "hole" <> ppr h ppr (EvVarDest ev) = ppr ev instance Outputable CtEvidence where ppr ev = ppr (ctEvFlavour ev) <+> pp_ev <+> braces (ppr (ctl_depth (ctEvLoc ev))) <> dcolon -- Show the sub-goal depth too <+> ppr (ctEvPred ev) where pp_ev = case ev of CtGiven { ctev_evar = v } -> ppr v CtWanted {ctev_dest = d } -> ppr d CtDerived {} -> text "_" isWanted :: CtEvidence -> Bool isWanted (CtWanted {}) = True isWanted _ = False isGiven :: CtEvidence -> Bool isGiven (CtGiven {}) = True isGiven _ = False isDerived :: CtEvidence -> Bool isDerived (CtDerived {}) = True isDerived _ = False {- %************************************************************************ %* * CtFlavour %* * %************************************************************************ Note [Constraint flavours] ~~~~~~~~~~~~~~~~~~~~~~~~~~ Constraints come in four flavours: * [G] Given: we have evidence * [W] Wanted WOnly: we want evidence * [D] Derived: any solution must satisfy this constraint, but we don't need evidence for it. Examples include: - superclasses of [W] class constraints - equalities arising from functional dependencies or injectivity * [WD] Wanted WDeriv: a single constraint that represents both [W] and [D] We keep them paired as one both for efficiency, and because when we have a finite map F tys -> CFunEqCan, it's inconvenient to have two CFunEqCans in the range The ctev_nosh field of a Wanted distinguishes between [W] and [WD] Wanted constraints are born as [WD], but are split into [W] and its "shadow" [D] in TcSMonad.maybeEmitShadow. See Note [The improvement story and derived shadows] in TcSMonad -} data CtFlavour -- See Note [Constraint flavours] = Given | Wanted ShadowInfo | Derived deriving Eq data ShadowInfo = WDeriv -- [WD] This Wanted constraint has no Derived shadow, -- so it behaves like a pair of a Wanted and a Derived | WOnly -- [W] It has a separate derived shadow -- See Note [The improvement story and derived shadows] in TcSMonad deriving( Eq ) isGivenOrWDeriv :: CtFlavour -> Bool isGivenOrWDeriv Given = True isGivenOrWDeriv (Wanted WDeriv) = True isGivenOrWDeriv _ = False instance Outputable CtFlavour where ppr Given = text "[G]" ppr (Wanted WDeriv) = text "[WD]" ppr (Wanted WOnly) = text "[W]" ppr Derived = text "[D]" ctEvFlavour :: CtEvidence -> CtFlavour ctEvFlavour (CtWanted { ctev_nosh = nosh }) = Wanted nosh ctEvFlavour (CtGiven {}) = Given ctEvFlavour (CtDerived {}) = Derived -- | Whether or not one 'Ct' can rewrite another is determined by its -- flavour and its equality relation. See also -- Note [Flavours with roles] in TcSMonad type CtFlavourRole = (CtFlavour, EqRel) -- | Extract the flavour, role, and boxity from a 'CtEvidence' ctEvFlavourRole :: CtEvidence -> CtFlavourRole ctEvFlavourRole ev = (ctEvFlavour ev, ctEvEqRel ev) -- | Extract the flavour and role from a 'Ct' ctFlavourRole :: Ct -> CtFlavourRole -- Uses short-cuts to role for special cases ctFlavourRole (CDictCan { cc_ev = ev }) = (ctEvFlavour ev, NomEq) ctFlavourRole (CTyEqCan { cc_ev = ev, cc_eq_rel = eq_rel }) = (ctEvFlavour ev, eq_rel) ctFlavourRole (CFunEqCan { cc_ev = ev }) = (ctEvFlavour ev, NomEq) ctFlavourRole (CHoleCan { cc_ev = ev }) = (ctEvFlavour ev, NomEq) -- NomEq: CHoleCans can be rewritten by -- by nominal equalities but empahatically -- not by representational equalities ctFlavourRole ct = ctEvFlavourRole (ctEvidence ct) {- Note [eqCanRewrite] ~~~~~~~~~~~~~~~~~~~~~~ (eqCanRewrite ct1 ct2) holds if the constraint ct1 (a CTyEqCan of form tv ~ ty) can be used to rewrite ct2. It must satisfy the properties of a can-rewrite relation, see Definition [Can-rewrite relation] in TcSMonad. With the solver handling Coercible constraints like equality constraints, the rewrite conditions must take role into account, never allowing a representational equality to rewrite a nominal one. Note [Wanteds do not rewrite Wanteds] ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ We don't allow Wanteds to rewrite Wanteds, because that can give rise to very confusing type error messages. A good example is #8450. Here's another f :: a -> Bool f x = ( [x,'c'], [x,True] ) `seq` True Here we get [W] a ~ Char [W] a ~ Bool but we do not want to complain about Bool ~ Char! Note [Deriveds do rewrite Deriveds] ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ However we DO allow Deriveds to rewrite Deriveds, because that's how improvement works; see Note [The improvement story] in TcInteract. However, for now at least I'm only letting (Derived,NomEq) rewrite (Derived,NomEq) and not doing anything for ReprEq. If we have eqCanRewriteFR (Derived, NomEq) (Derived, _) = True then we lose property R2 of Definition [Can-rewrite relation] in TcSMonad R2. If f1 >= f, and f2 >= f, then either f1 >= f2 or f2 >= f1 Consider f1 = (Given, ReprEq) f2 = (Derived, NomEq) f = (Derived, ReprEq) I thought maybe we could never get Derived ReprEq constraints, but we can; straight from the Wanteds during improvement. And from a Derived ReprEq we could conceivably get a Derived NomEq improvement (by decomposing a type constructor with Nomninal role), and hence unify. -} eqCanRewrite :: EqRel -> EqRel -> Bool eqCanRewrite NomEq _ = True eqCanRewrite ReprEq ReprEq = True eqCanRewrite ReprEq NomEq = False eqCanRewriteFR :: CtFlavourRole -> CtFlavourRole -> Bool -- Can fr1 actually rewrite fr2? -- Very important function! -- See Note [eqCanRewrite] -- See Note [Wanteds do not rewrite Wanteds] -- See Note [Deriveds do rewrite Deriveds] eqCanRewriteFR (Given, r1) (_, r2) = eqCanRewrite r1 r2 eqCanRewriteFR (Wanted WDeriv, NomEq) (Derived, NomEq) = True eqCanRewriteFR (Derived, NomEq) (Derived, NomEq) = True eqCanRewriteFR _ _ = False eqMayRewriteFR :: CtFlavourRole -> CtFlavourRole -> Bool -- Is it /possible/ that fr1 can rewrite fr2? -- This is used when deciding which inerts to kick out, -- at which time a [WD] inert may be split into [W] and [D] eqMayRewriteFR (Wanted WDeriv, NomEq) (Wanted WDeriv, NomEq) = True eqMayRewriteFR (Derived, NomEq) (Wanted WDeriv, NomEq) = True eqMayRewriteFR fr1 fr2 = eqCanRewriteFR fr1 fr2 ----------------- {- Note [funEqCanDischarge] ~~~~~~~~~~~~~~~~~~~~~~~~~~~ Suppose we have two CFunEqCans with the same LHS: (x1:F ts ~ f1) `funEqCanDischarge` (x2:F ts ~ f2) Can we drop x2 in favour of x1, either unifying f2 (if it's a flatten meta-var) or adding a new Given (f1 ~ f2), if x2 is a Given? Answer: yes if funEqCanDischarge is true. -} funEqCanDischarge :: CtEvidence -> CtEvidence -> ( SwapFlag -- NotSwapped => lhs can discharge rhs -- Swapped => rhs can discharge lhs , Bool) -- True <=> upgrade non-discharded one -- from [W] to [WD] -- See Note [funEqCanDischarge] funEqCanDischarge ev1 ev2 = ASSERT2( ctEvEqRel ev1 == NomEq, ppr ev1 ) ASSERT2( ctEvEqRel ev2 == NomEq, ppr ev2 ) -- CFunEqCans are all Nominal, hence asserts funEqCanDischargeF (ctEvFlavour ev1) (ctEvFlavour ev2) funEqCanDischargeF :: CtFlavour -> CtFlavour -> (SwapFlag, Bool) funEqCanDischargeF Given _ = (NotSwapped, False) funEqCanDischargeF _ Given = (IsSwapped, False) funEqCanDischargeF (Wanted WDeriv) _ = (NotSwapped, False) funEqCanDischargeF _ (Wanted WDeriv) = (IsSwapped, True) funEqCanDischargeF (Wanted WOnly) (Wanted WOnly) = (NotSwapped, False) funEqCanDischargeF (Wanted WOnly) Derived = (NotSwapped, True) funEqCanDischargeF Derived (Wanted WOnly) = (IsSwapped, True) funEqCanDischargeF Derived Derived = (NotSwapped, False) {- Note [eqCanDischarge] ~~~~~~~~~~~~~~~~~~~~~~~~ Suppose we have two identical CTyEqCan equality constraints (i.e. both LHS and RHS are the same) (x1:a~t) `eqCanDischarge` (xs:a~t) Can we just drop x2 in favour of x1? Answer: yes if eqCanDischarge is true. Note that we do /not/ allow Wanted to discharge Derived. We must keep both. Why? Because the Derived may rewrite other Deriveds in the model whereas the Wanted cannot. However a Wanted can certainly discharge an identical Wanted. So eqCanDischarge does /not/ define a can-rewrite relation in the sense of Definition [Can-rewrite relation] in TcSMonad. We /do/ say that a [W] can discharge a [WD]. In evidence terms it certainly can, and the /caller/ arranges that the otherwise-lost [D] is spat out as a new Derived. -} eqCanDischargeFR :: CtFlavourRole -> CtFlavourRole -> Bool -- See Note [eqCanDischarge] eqCanDischargeFR (f1,r1) (f2, r2) = eqCanRewrite r1 r2 && eqCanDischargeF f1 f2 eqCanDischargeF :: CtFlavour -> CtFlavour -> Bool eqCanDischargeF Given _ = True eqCanDischargeF (Wanted _) (Wanted _) = True eqCanDischargeF (Wanted WDeriv) Derived = True eqCanDischargeF Derived Derived = True eqCanDischargeF _ _ = False {- ************************************************************************ * * SubGoalDepth * * ************************************************************************ Note [SubGoalDepth] ~~~~~~~~~~~~~~~~~~~ The 'SubGoalDepth' takes care of stopping the constraint solver from looping. The counter starts at zero and increases. It includes dictionary constraints, equality simplification, and type family reduction. (Why combine these? Because it's actually quite easy to mistake one for another, in sufficiently involved scenarios, like ConstraintKinds.) The flag -freduction-depth=n fixes the maximium level. * The counter includes the depth of type class instance declarations. Example: [W] d{7} : Eq [Int] That is d's dictionary-constraint depth is 7. If we use the instance $dfEqList :: Eq a => Eq [a] to simplify it, we get d{7} = $dfEqList d'{8} where d'{8} : Eq Int, and d' has depth 8. For civilised (decidable) instance declarations, each increase of depth removes a type constructor from the type, so the depth never gets big; i.e. is bounded by the structural depth of the type. * The counter also increments when resolving equalities involving type functions. Example: Assume we have a wanted at depth 7: [W] d{7} : F () ~ a If there is a type function equation "F () = Int", this would be rewritten to [W] d{8} : Int ~ a and remembered as having depth 8. Again, without UndecidableInstances, this counter is bounded, but without it can resolve things ad infinitum. Hence there is a maximum level. * Lastly, every time an equality is rewritten, the counter increases. Again, rewriting an equality constraint normally makes progress, but it's possible the "progress" is just the reduction of an infinitely-reducing type family. Hence we need to track the rewrites. When compiling a program requires a greater depth, then GHC recommends turning off this check entirely by setting -freduction-depth=0. This is because the exact number that works is highly variable, and is likely to change even between minor releases. Because this check is solely to prevent infinite compilation times, it seems safe to disable it when a user has ascertained that their program doesn't loop at the type level. -} -- | See Note [SubGoalDepth] newtype SubGoalDepth = SubGoalDepth Int deriving (Eq, Ord, Outputable) initialSubGoalDepth :: SubGoalDepth initialSubGoalDepth = SubGoalDepth 0 bumpSubGoalDepth :: SubGoalDepth -> SubGoalDepth bumpSubGoalDepth (SubGoalDepth n) = SubGoalDepth (n + 1) maxSubGoalDepth :: SubGoalDepth -> SubGoalDepth -> SubGoalDepth maxSubGoalDepth (SubGoalDepth n) (SubGoalDepth m) = SubGoalDepth (n `max` m) subGoalDepthExceeded :: DynFlags -> SubGoalDepth -> Bool subGoalDepthExceeded dflags (SubGoalDepth d) = mkIntWithInf d > reductionDepth dflags {- ************************************************************************ * * CtLoc * * ************************************************************************ The 'CtLoc' gives information about where a constraint came from. This is important for decent error message reporting because dictionaries don't appear in the original source code. type will evolve... -} data CtLoc = CtLoc { ctl_origin :: CtOrigin , ctl_env :: TcLclEnv , ctl_t_or_k :: Maybe TypeOrKind -- OK if we're not sure , ctl_depth :: !SubGoalDepth } -- The TcLclEnv includes particularly -- source location: tcl_loc :: RealSrcSpan -- context: tcl_ctxt :: [ErrCtxt] -- binder stack: tcl_bndrs :: TcBinderStack -- level: tcl_tclvl :: TcLevel mkKindLoc :: TcType -> TcType -- original *types* being compared -> CtLoc -> CtLoc mkKindLoc s1 s2 loc = setCtLocOrigin (toKindLoc loc) (KindEqOrigin s1 (Just s2) (ctLocOrigin loc) (ctLocTypeOrKind_maybe loc)) -- | Take a CtLoc and moves it to the kind level toKindLoc :: CtLoc -> CtLoc toKindLoc loc = loc { ctl_t_or_k = Just KindLevel } mkGivenLoc :: TcLevel -> SkolemInfo -> TcLclEnv -> CtLoc mkGivenLoc tclvl skol_info env = CtLoc { ctl_origin = GivenOrigin skol_info , ctl_env = setLclEnvTcLevel env tclvl , ctl_t_or_k = Nothing -- this only matters for error msgs , ctl_depth = initialSubGoalDepth } ctLocEnv :: CtLoc -> TcLclEnv ctLocEnv = ctl_env ctLocLevel :: CtLoc -> TcLevel ctLocLevel loc = getLclEnvTcLevel (ctLocEnv loc) ctLocDepth :: CtLoc -> SubGoalDepth ctLocDepth = ctl_depth ctLocOrigin :: CtLoc -> CtOrigin ctLocOrigin = ctl_origin ctLocSpan :: CtLoc -> RealSrcSpan ctLocSpan (CtLoc { ctl_env = lcl}) = getLclEnvLoc lcl ctLocTypeOrKind_maybe :: CtLoc -> Maybe TypeOrKind ctLocTypeOrKind_maybe = ctl_t_or_k setCtLocSpan :: CtLoc -> RealSrcSpan -> CtLoc setCtLocSpan ctl@(CtLoc { ctl_env = lcl }) loc = setCtLocEnv ctl (setLclEnvLoc lcl loc) bumpCtLocDepth :: CtLoc -> CtLoc bumpCtLocDepth loc@(CtLoc { ctl_depth = d }) = loc { ctl_depth = bumpSubGoalDepth d } setCtLocOrigin :: CtLoc -> CtOrigin -> CtLoc setCtLocOrigin ctl orig = ctl { ctl_origin = orig } updateCtLocOrigin :: CtLoc -> (CtOrigin -> CtOrigin) -> CtLoc updateCtLocOrigin ctl@(CtLoc { ctl_origin = orig }) upd = ctl { ctl_origin = upd orig } setCtLocEnv :: CtLoc -> TcLclEnv -> CtLoc setCtLocEnv ctl env = ctl { ctl_env = env } pprCtLoc :: CtLoc -> SDoc -- "arising from ... at ..." -- Not an instance of Outputable because of the "arising from" prefix pprCtLoc (CtLoc { ctl_origin = o, ctl_env = lcl}) = sep [ pprCtOrigin o , text "at" <+> ppr (getLclEnvLoc lcl)]