ghc-lib-parser-9.12.2.20250421: The GHC API, decoupled from GHC versions

Safe Haskell | Ignore
Language | GHC2021

GHC.Tc.Utils.TcType

Contents

- Finding type instances
- Finding "exact" (non-dead) type variables

Description

Types used in the typechecker

This module provides the Type interface for front-end parts of the compiler. These parts

- treat "source types" as opaque: newtypes, and predicates are meaningful.
- look through usage types

Synopsis

- type TcType = Type
- type TcSigmaType = TcType
- type TcTypeFRR = TcType
- type TcSigmaTypeFRR = TcSigmaType
- type TcRhoType = TcType
- type TcTauType = TcType
- type TcPredType = PredType
- type TcThetaType = ThetaType
- type TcTyVar = Var
- type TcTyVarSet = TyVarSet
- type TcDTyVarSet = DTyVarSet
- type TcTyCoVarSet = TyCoVarSet
- type TcDTyCoVarSet = DTyCoVarSet
- type TcKind = Kind
- type TcCoVar = CoVar
- type TcTyCoVar = Var
- type TcTyVarBinder = TyVarBinder
- type TcInvisTVBinder = InvisTVBinder
- type TcReqTVBinder = ReqTVBinder
- type TcTyCon = TyCon
- type MonoTcTyCon = TcTyCon
- type PolyTcTyCon = TcTyCon
- type TcTyConBinder = TyConBinder
- type KnotTied (ty :: k) = ty
- data ExpType
  - = Check TcType
  - | Infer !InferResult
- type ExpKind = ExpType
- data InferResult = IR {
  - ir_uniq :: Unique
  - ir_lvl :: TcLevel
  - ir_frr :: Maybe FixedRuntimeRepContext
  - ir_ref :: IORef (Maybe TcType)
  }
- type ExpTypeFRR = ExpType
- type ExpSigmaType = ExpType
- type ExpSigmaTypeFRR = ExpTypeFRR
- type ExpRhoType = ExpType
- mkCheckExpType :: TcType -> ExpType
- checkingExpType_maybe :: ExpType -> Maybe TcType
- checkingExpType :: ExpType -> TcType
- data ExpPatType
  - = ExpFunPatTy (Scaled ExpSigmaTypeFRR)
  - | ExpForAllPatTy ForAllTyBinder
- mkCheckExpFunPatTy :: Scaled TcType -> ExpPatType
- mkInvisExpPatType :: InvisTyBinder -> ExpPatType
- isVisibleExpPatType :: ExpPatType -> Bool
- isExpFunPatType :: ExpPatType -> Bool
- data SyntaxOpType
  - = SynAny
  - | SynRho
  - | SynList
  - | SynFun SyntaxOpType SyntaxOpType
  - | SynType ExpType
- synKnownType :: TcType -> SyntaxOpType
- mkSynFunTys :: [SyntaxOpType] -> ExpType -> SyntaxOpType
- data TcLevel
  - = TcLevel !Int
  - | QLInstVar
- topTcLevel :: TcLevel
- pushTcLevel :: TcLevel -> TcLevel
- isTopTcLevel :: TcLevel -> Bool
- strictlyDeeperThan :: TcLevel -> TcLevel -> Bool
- deeperThanOrSame :: TcLevel -> TcLevel -> Bool
- sameDepthAs :: TcLevel -> TcLevel -> Bool
- tcTypeLevel :: TcType -> TcLevel
- tcTyVarLevel :: TcTyVar -> TcLevel
- maxTcLevel :: TcLevel -> TcLevel -> TcLevel
- minTcLevel :: TcLevel -> TcLevel -> TcLevel
- data TcTyVarDetails
  - = SkolemTv SkolemInfo TcLevel Bool
  - | RuntimeUnk
  - | MetaTv {
    - mtv_info :: MetaInfo
    - mtv_ref :: IORef MetaDetails
    - mtv_tclvl :: TcLevel
    }
- pprTcTyVarDetails :: TcTyVarDetails -> SDoc
- vanillaSkolemTvUnk :: HasDebugCallStack => TcTyVarDetails
- data MetaDetails
  - = Flexi
  - | Indirect TcType
- data MetaInfo
  - = TauTv
  - | TyVarTv
  - | RuntimeUnkTv
  - | CycleBreakerTv
  - | ConcreteTv ConcreteTvOrigin
- skolemSkolInfo :: TcTyVar -> SkolemInfo
- isImmutableTyVar :: TyVar -> Bool
- isSkolemTyVar :: TcTyVar -> Bool
- isMetaTyVar :: TcTyVar -> Bool
- isMetaTyVarTy :: TcType -> Bool
- isTyVarTy :: Type -> Bool
- tcIsTcTyVar :: TcTyVar -> Bool
- isTyVarTyVar :: Var -> Bool
- isOverlappableTyVar :: TcTyVar -> Bool
- isTyConableTyVar :: TcTyVar -> Bool
- data ConcreteTvOrigin = ConcreteFRR FixedRuntimeRepOrigin
- isConcreteTyVar_maybe :: TcTyVar -> Maybe ConcreteTvOrigin
- isConcreteTyVar :: TcTyVar -> Bool
- isConcreteTyVarTy :: TcType -> Bool
- isConcreteTyVarTy_maybe :: TcType -> Maybe (TcTyVar, ConcreteTvOrigin)
- isConcreteInfo :: MetaInfo -> Bool
- type ConcreteTyVars = NameEnv ConcreteTvOrigin
- noConcreteTyVars :: ConcreteTyVars
- isAmbiguousTyVar :: TcTyVar -> Bool
- isCycleBreakerTyVar :: TcTyVar -> Bool
- metaTyVarRef :: TyVar -> IORef MetaDetails
- metaTyVarInfo :: TcTyVar -> MetaInfo
- isFlexi :: MetaDetails -> Bool
- isIndirect :: MetaDetails -> Bool
- isRuntimeUnkSkol :: TyVar -> Bool
- isQLInstTyVar :: TcTyVar -> Bool
- isRuntimeUnkTyVar :: TcTyVar -> Bool
- metaTyVarTcLevel :: TcTyVar -> TcLevel
- setMetaTyVarTcLevel :: TcTyVar -> TcLevel -> TcTyVar
- metaTyVarTcLevel_maybe :: TcTyVar -> Maybe TcLevel
- isTouchableMetaTyVar :: TcLevel -> TcTyVar -> Bool
- isPromotableMetaTyVar :: TcTyVar -> Bool
- findDupTyVarTvs :: [(Name, TcTyVar)] -> [(Name, Name)]
- mkTyVarNamePairs :: [TyVar] -> [(Name, TyVar)]
- mkInfSigmaTy :: HasDebugCallStack => [TyCoVar] -> [PredType] -> Type -> Type
- mkSpecSigmaTy :: HasDebugCallStack => [TyVar] -> [PredType] -> Type -> Type
- mkSigmaTy :: HasDebugCallStack => [ForAllTyBinder] -> [PredType] -> Type -> Type
- mkPhiTy :: HasDebugCallStack => [PredType] -> Type -> Type
- tcMkPhiTy :: HasDebugCallStack => [PredType] -> Type -> Type
- tcMkDFunSigmaTy :: [TyVar] -> ThetaType -> Type -> Type
- tcMkDFunPhiTy :: HasDebugCallStack => [PredType] -> Type -> Type
- getTyVar :: HasDebugCallStack => Type -> TyVar
- getTyVar_maybe :: Type -> Maybe TyVar
- getCastedTyVar_maybe :: Type -> Maybe (TyVar, CoercionN)
- tcSplitForAllTyVarBinder_maybe :: Type -> Maybe (TyVarBinder, Type)
- tcSplitForAllTyVarsReqTVBindersN :: Arity -> Type -> (Arity, [ForAllTyBinder], Type)
- tcSplitForAllTyVars :: Type -> ([TyVar], Type)
- tcSplitForAllInvisTyVars :: Type -> ([TyVar], Type)
- tcSplitSomeForAllTyVars :: (ForAllTyFlag -> Bool) -> Type -> ([TyVar], Type)
- tcSplitForAllReqTVBinders :: Type -> ([TcReqTVBinder], Type)
- tcSplitForAllInvisTVBinders :: Type -> ([TcInvisTVBinder], Type)
- tcSplitPiTys :: Type -> ([PiTyVarBinder], Type)
- tcSplitPiTy_maybe :: Type -> Maybe (PiTyVarBinder, Type)
- tcSplitForAllTyVarBinders :: Type -> ([TyVarBinder], Type)
- tcSplitPhiTy :: Type -> (ThetaType, Type)
- tcSplitPredFunTy_maybe :: Type -> Maybe (PredType, Type)
- tcSplitFunTy_maybe :: Type -> Maybe (Scaled Type, Type)
- tcSplitFunTys :: Type -> ([Scaled Type], Type)
- tcFunArgTy :: Type -> Scaled Type
- tcFunResultTy :: Type -> Type
- tcFunResultTyN :: HasDebugCallStack => Arity -> Type -> Type
- tcSplitFunTysN :: Arity -> TcRhoType -> Either Arity ([Scaled TcSigmaType], TcSigmaType)
- tcSplitTyConApp :: Type -> (TyCon, [Type])
- tcSplitTyConApp_maybe :: HasDebugCallStack => Type -> Maybe (TyCon, [Type])
- tcTyConAppTyCon :: Type -> TyCon
- tcTyConAppTyCon_maybe :: Type -> Maybe TyCon
- tcTyConAppArgs :: Type -> [Type]
- tcSplitAppTy_maybe :: Type -> Maybe (Type, Type)
- tcSplitAppTy :: Type -> (Type, Type)
- tcSplitAppTys :: Type -> (Type, [Type])
- tcSplitAppTyNoView_maybe :: Type -> Maybe (Type, Type)
- tcSplitSigmaTy :: Type -> ([TyVar], ThetaType, Type)
- tcSplitSigmaTyBndrs :: Type -> ([TcInvisTVBinder], ThetaType, Type)
- tcSplitNestedSigmaTys :: Type -> ([TyVar], ThetaType, Type)
- tcSplitIOType_maybe :: Type -> Maybe (TyCon, Type)
- isSigmaTy :: TcType -> Bool
- isRhoTy :: TcType -> Bool
- isRhoExpTy :: ExpType -> Bool
- isOverloadedTy :: Type -> Bool
- isFloatingPrimTy :: Type -> Bool
- isDoubleTy :: Type -> Bool
- isFloatTy :: Type -> Bool
- isIntTy :: Type -> Bool
- isWordTy :: Type -> Bool
- isStringTy :: Type -> Bool
- isIntegerTy :: Type -> Bool
- isNaturalTy :: Type -> Bool
- isBoolTy :: Type -> Bool
- isUnitTy :: Type -> Bool
- isCharTy :: Type -> Bool
- isTauTy :: Type -> Bool
- isTauTyCon :: TyCon -> Bool
- tcIsTyVarTy :: Type -> Bool
- isPredTy :: HasDebugCallStack => Type -> Bool
- isTyVarClassPred :: PredType -> Bool
- checkValidClsArgs :: Bool -> Class -> [KindOrType] -> Bool
- hasTyVarHead :: Type -> Bool
- isRigidTy :: TcType -> Bool
- anyTy_maybe :: Type -> Maybe Kind
- eqType :: HasCallStack => Type -> Type -> Bool
- eqTypes :: [Type] -> [Type] -> Bool
- nonDetCmpType :: Type -> Type -> Ordering
- eqTypeX :: HasCallStack => RnEnv2 -> Type -> Type -> Bool
- pickyEqType :: Type -> Type -> Bool
- tcEqType :: HasDebugCallStack => Type -> Type -> Bool
- tcEqKind :: HasDebugCallStack => Kind -> Kind -> Bool
- tcEqTypeNoKindCheck :: Type -> Type -> Bool
- mayLookIdentical :: Type -> Type -> Bool
- tcEqTyConApps :: TyCon -> [Type] -> TyCon -> [Type] -> Bool
- eqForAllVis :: ForAllTyFlag -> ForAllTyFlag -> Bool
- eqVarBndrs :: HasCallStack => RnEnv2 -> [Var] -> [Var] -> Maybe RnEnv2
- deNoteType :: Type -> Type
- getDFunTyKey :: Type -> OccName
- evVarPred :: EvVar -> PredType
- ambigTkvsOfTy :: TcType -> ([Var], [Var])
- mkMinimalBySCs :: (a -> PredType) -> [a] -> [a]
- transSuperClasses :: PredType -> [PredType]
- pickCapturedPreds :: TyVarSet -> TcThetaType -> TcThetaType
- immSuperClasses :: Class -> [Type] -> [PredType]
- boxEqPred :: EqRel -> Type -> Type -> Maybe (Class, [Type])
- isImprovementPred :: PredType -> Bool
- tcTyFamInsts :: Type -> [(TyCon, [Type])]
- tcTyFamInstsAndVis :: Type -> [(Bool, TyCon, [Type])]
- tcTyConAppTyFamInstsAndVis :: TyCon -> [Type] -> [(Bool, TyCon, [Type])]
- isTyFamFree :: Type -> Bool
- exactTyCoVarsOfType :: Type -> TyCoVarSet
- exactTyCoVarsOfTypes :: [Type] -> TyCoVarSet
- anyRewritableTyVar :: EqRel -> (UnderFam -> EqRel -> TcTyVar -> Bool) -> TcType -> Bool
- anyRewritableTyFamApp :: EqRel -> (UnderFam -> EqRel -> TyCon -> [TcType] -> Bool) -> TcType -> Bool
- type UnderFam = Bool
- data PatersonSize
  - = PS_TyFam TyCon
  - | PS_Vanilla {
    - ps_tvs :: [TyVar]
    - ps_size :: Int
    }
- data PatersonCondFailure
  - = PCF_TyVar [TyVar]
  - | PCF_Size
  - | PCF_TyFam TyCon
- data PatersonCondFailureContext
  - = InInstanceDecl
  - | InTyFamEquation
- ltPatersonSize :: PatersonSize -> PatersonSize -> Maybe PatersonCondFailure
- pSizeZero :: PatersonSize
- pSizeOne :: PatersonSize
- pSizeType :: Type -> PatersonSize
- pSizeTypeX :: VarSet -> Type -> PatersonSize
- pSizeTypes :: [Type] -> PatersonSize
- pSizeClassPred :: Class -> [Type] -> PatersonSize
- pSizeClassPredX :: VarSet -> Class -> [Type] -> PatersonSize
- pSizeTyConApp :: TyCon -> [Type] -> PatersonSize
- noMoreTyVars :: [TyVar] -> [TyVar] -> [TyVar]
- allDistinctTyVars :: TyVarSet -> [KindOrType] -> Bool
- type TypeSize = IntWithInf
- sizeType :: Type -> TypeSize
- sizeTypes :: [Type] -> TypeSize
- scopedSort :: [TyCoVar] -> [TyCoVar]
- isTerminatingClass :: Class -> Bool
- isStuckTypeFamily :: TyCon -> Bool
- type Kind = Type
- liftedTypeKind :: Type
- constraintKind :: Kind
- isLiftedTypeKind :: Kind -> Bool
- isUnliftedTypeKind :: Kind -> Bool
- isTYPEorCONSTRAINT :: Kind -> Bool
- data Type
- type PredType = Type
- type ThetaType = [PredType]
- data PiTyBinder
- data ForAllTyFlag where
  - Invisible !Specificity
  - Required
  - pattern Specified :: ForAllTyFlag
  - pattern Inferred :: ForAllTyFlag
- data FunTyFlag
  - = FTF_T_T
  - | FTF_T_C
  - | FTF_C_T
  - | FTF_C_C
- mkForAllTy :: ForAllTyBinder -> Type -> Type
- mkForAllTys :: [ForAllTyBinder] -> Type -> Type
- mkInvisForAllTys :: [InvisTVBinder] -> Type -> Type
- mkTyCoInvForAllTys :: [TyCoVar] -> Type -> Type
- mkSpecForAllTys :: [TyVar] -> Type -> Type
- mkTyCoInvForAllTy :: TyCoVar -> Type -> Type
- mkInfForAllTy :: TyVar -> Type -> Type
- mkInfForAllTys :: [TyVar] -> Type -> Type
- mkVisFunTy :: HasDebugCallStack => Mult -> Type -> Type -> Type
- mkVisFunTyMany :: HasDebugCallStack => Type -> Type -> Type
- mkVisFunTysMany :: [Type] -> Type -> Type
- mkScaledFunTys :: HasDebugCallStack => [Scaled Type] -> Type -> Type
- mkInvisFunTy :: HasDebugCallStack => Type -> Type -> Type
- mkInvisFunTys :: HasDebugCallStack => [Type] -> Type -> Type
- mkTyConApp :: TyCon -> [Type] -> Type
- mkAppTy :: Type -> Type -> Type
- mkAppTys :: Type -> [Type] -> Type
- mkTyConTy :: TyCon -> Type
- mkTyVarTy :: TyVar -> Type
- mkTyVarTys :: [TyVar] -> [Type]
- mkTyCoVarTy :: TyCoVar -> Type
- mkTyCoVarTys :: [TyCoVar] -> [Type]
- isClassPred :: PredType -> Bool
- isEqPrimPred :: PredType -> Bool
- isIPLikePred :: Type -> Bool
- isEqPred :: PredType -> Bool
- isEqualityClass :: Class -> Bool
- mkClassPred :: Class -> [Type] -> PredType
- tcSplitQuantPredTy :: Type -> ([TyVar], [Type], PredType)
- tcSplitDFunTy :: Type -> ([TyVar], [Type], Class, [Type])
- tcSplitDFunHead :: Type -> (Class, [Type])
- tcSplitMethodTy :: Type -> ([TyVar], PredType, Type)
- isRuntimeRepVar :: TyVar -> Bool
- isFixedRuntimeRepKind :: HasDebugCallStack => Kind -> Bool
- isVisiblePiTyBinder :: PiTyBinder -> Bool
- isInvisiblePiTyBinder :: PiTyBinder -> Bool
- data Subst = Subst InScopeSet IdSubstEnv TvSubstEnv CvSubstEnv
- type TvSubstEnv = TyVarEnv Type
- emptySubst :: Subst
- mkEmptySubst :: InScopeSet -> Subst
- zipTvSubst :: HasDebugCallStack => [TyVar] -> [Type] -> Subst
- mkTvSubstPrs :: [(TyVar, Type)] -> Subst
- notElemSubst :: Var -> Subst -> Bool
- unionSubst :: Subst -> Subst -> Subst
- getTvSubstEnv :: Subst -> TvSubstEnv
- getSubstInScope :: Subst -> InScopeSet
- extendSubstInScope :: Subst -> Var -> Subst
- extendSubstInScopeList :: Subst -> [Var] -> Subst
- extendSubstInScopeSet :: Subst -> VarSet -> Subst
- extendTvSubstAndInScope :: Subst -> TyVar -> Type -> Subst
- lookupTyVar :: Subst -> TyVar -> Maybe Type
- extendTCvSubst :: Subst -> TyCoVar -> Type -> Subst
- substTyVarBndr :: HasDebugCallStack => Subst -> TyVar -> (Subst, TyVar)
- extendTvSubst :: Subst -> TyVar -> Type -> Subst
- isInScope :: Var -> Subst -> Bool
- mkTCvSubst :: InScopeSet -> TvSubstEnv -> CvSubstEnv -> Subst
- mkTvSubst :: InScopeSet -> TvSubstEnv -> Subst
- zipTyEnv :: HasDebugCallStack => [TyVar] -> [Type] -> TvSubstEnv
- zipCoEnv :: HasDebugCallStack => [CoVar] -> [Coercion] -> CvSubstEnv
- substTy :: HasDebugCallStack => Subst -> Type -> Type
- substTys :: HasDebugCallStack => Subst -> [Type] -> [Type]
- substScaledTys :: HasDebugCallStack => Subst -> [Scaled Type] -> [Scaled Type]
- substTyWith :: HasDebugCallStack => [TyVar] -> [Type] -> Type -> Type
- substTyWithCoVars :: [CoVar] -> [Coercion] -> Type -> Type
- substTyAddInScope :: HasDebugCallStack => Subst -> Type -> Type
- substTyUnchecked :: Subst -> Type -> Type
- substTysUnchecked :: Subst -> [Type] -> [Type]
- substScaledTyUnchecked :: HasDebugCallStack => Subst -> Scaled Type -> Scaled Type
- substThetaUnchecked :: Subst -> ThetaType -> ThetaType
- substTyWithUnchecked :: [TyVar] -> [Type] -> Type -> Type
- substCoUnchecked :: Subst -> Coercion -> Coercion
- substCoWithUnchecked :: [TyVar] -> [Type] -> Coercion -> Coercion
- substTheta :: HasDebugCallStack => Subst -> ThetaType -> ThetaType
- isUnliftedType :: HasDebugCallStack => Type -> Bool
- isUnboxedTupleType :: Type -> Bool
- isPrimitiveType :: Type -> Bool
- coreView :: Type -> Maybe Type
- tyCoVarsOfType :: Type -> TyCoVarSet
- tyCoVarsOfTypes :: [Type] -> TyCoVarSet
- closeOverKinds :: TyCoVarSet -> TyCoVarSet
- tyCoFVsOfType :: Type -> FV
- tyCoFVsOfTypes :: [Type] -> FV
- tyCoVarsOfTypeDSet :: Type -> DTyCoVarSet
- tyCoVarsOfTypesDSet :: [Type] -> DTyCoVarSet
- closeOverKindsDSet :: DTyVarSet -> DTyVarSet
- tyCoVarsOfTypeList :: Type -> [TyCoVar]
- tyCoVarsOfTypesList :: [Type] -> [TyCoVar]
- noFreeVarsOfType :: Type -> Bool
- pprKind :: Kind -> SDoc
- pprParendKind :: Kind -> SDoc
- pprSigmaType :: Type -> SDoc
- pprType :: Type -> SDoc
- pprParendType :: Type -> SDoc
- pprTypeApp :: TyCon -> [Type] -> SDoc
- pprTheta :: ThetaType -> SDoc
- pprParendTheta :: ThetaType -> SDoc
- pprThetaArrowTy :: ThetaType -> SDoc
- pprClassPred :: Class -> [Type] -> SDoc
- pprTCvBndr :: ForAllTyBinder -> SDoc
- pprTCvBndrs :: [ForAllTyBinder] -> SDoc
- tyConVisibilities :: TyCon -> [Bool]
- isNextTyConArgVisible :: TyCon -> [Type] -> Bool
- isNextArgVisible :: TcType -> Bool

# Documentation

type TcType = Type Source #

type TcSigmaType = TcType Source #

type TcTypeFRR = TcType Source #

A type which has a syntactically fixed RuntimeRep as per Note [Fixed RuntimeRep] in GHC.Tc.Utils.Concrete.

type TcSigmaTypeFRR = TcSigmaType Source #

A `TcSigmaTypeFRR` is a `TcSigmaType` which has a syntactically fixed `RuntimeRep` in the sense of Note [Fixed RuntimeRep] in GHC.Tc.Utils.Concrete.

In particular, this means that:

- `typePrimRep` does not panic,
- `typeLevity_maybe` does not return `Nothing`.

This property is important in functions such as `matchExpectedFunTys`, where we want to provide argument types which have a known runtime representation. See Note [Return arguments with a fixed RuntimeRep.

type TcRhoType = TcType Source #

type TcTauType = TcType Source #

type TcPredType = PredType Source #

type TcThetaType = ThetaType Source #

type TcTyVar = Var Source #

Type variable that might be a metavariable

type TcTyVarSet = TyVarSet Source #

type TcDTyVarSet = DTyVarSet Source #

type TcTyCoVarSet = TyCoVarSet Source #

type TcDTyCoVarSet = DTyCoVarSet Source #

type TcKind = Kind Source #

type TcCoVar = CoVar Source #

type TcTyCoVar = Var Source #

type TcTyVarBinder = TyVarBinder Source #

type TcInvisTVBinder = InvisTVBinder Source #

type TcReqTVBinder = ReqTVBinder Source #

type TcTyCon = TyCon Source #

type MonoTcTyCon = TcTyCon Source #

type PolyTcTyCon = TcTyCon Source #

type TcTyConBinder = TyConBinder Source #

type KnotTied (ty :: k) = ty Source #

A type labeled `KnotTied` might have knot-tied tycons in it. See Note [Type checking recursive type and class declarations] in GHC.Tc.TyCl

data ExpType Source #

An expected type to check against during type-checking. See Note [ExpType] in GHC.Tc.Utils.TcMType, where you'll also find manipulators.

Constructors

Check TcType |
Infer !InferResult |

#### Instances

Instances details

Outputable ExpType Source # |
Instance details Defined in GHC.Tc.Utils.TcType Methods ppr :: ExpType -> SDoc Source #

type ExpKind = ExpType Source #

Like `ExpType`, but on kind level

data InferResult Source #

Constructors

IR |

Fields

- ir_uniq :: Unique

  This `Unique` is for debugging only

- ir_lvl :: TcLevel

  See Note [TcLevel of ExpType] in GHC.Tc.Utils.TcMType

- ir_frr :: Maybe FixedRuntimeRepContext

  See Note [FixedRuntimeRep context in ExpType] in GHC.Tc.Utils.TcMType

- ir_ref :: IORef (Maybe TcType)

  The type that fills in this hole should be a `Type`, that is, its kind should be `TYPE rr` for some `rr :: RuntimeRep`.

  Additionally, if the `ir_frr` field is `Just frr_orig` then `rr` must be concrete, in the sense of Note [Concrete types] in GHC.Tc.Utils.Concrete.

#### Instances

Instances details

Outputable InferResult Source # |
Instance details Defined in GHC.Tc.Utils.TcType Methods ppr :: InferResult -> SDoc Source #

type ExpTypeFRR = ExpType Source #

An `ExpType` which has a fixed RuntimeRep.

For a `Check` `ExpType`, the stored `TcType` must have a fixed RuntimeRep. For an `Infer` `ExpType`, the `ir_frr` field must be of the form `Just frr_orig`.

type ExpSigmaType = ExpType Source #

type ExpSigmaTypeFRR = ExpTypeFRR Source #

Like `TcSigmaTypeFRR`, but for an expected type.

See `ExpTypeFRR`.

type ExpRhoType = ExpType Source #

mkCheckExpType :: TcType -> ExpType Source #

Make an `ExpType` suitable for checking.

checkingExpType_maybe :: ExpType -> Maybe TcType Source #

Returns the expected type when in checking mode.

checkingExpType :: ExpType -> TcType Source #

Returns the expected type when in checking mode. Panics if in inference mode.

data ExpPatType Source #

Constructors

ExpFunPatTy (Scaled ExpSigmaTypeFRR) |
ExpForAllPatTy ForAllTyBinder |

#### Instances

Instances details

Outputable ExpPatType Source # |
Instance details Defined in GHC.Tc.Utils.TcType Methods ppr :: ExpPatType -> SDoc Source #

mkCheckExpFunPatTy :: Scaled TcType -> ExpPatType Source #

mkInvisExpPatType :: InvisTyBinder -> ExpPatType Source #

isVisibleExpPatType :: ExpPatType -> Bool Source #

isExpFunPatType :: ExpPatType -> Bool Source #

data SyntaxOpType Source #

What to expect for an argument to a rebindable-syntax operator. Quite like `Type`, but allows for holes to be filled in by tcSyntaxOp. The callback called from tcSyntaxOp gets a list of types; the meaning of these types is determined by a left-to-right depth-first traversal of the `SyntaxOpType` tree. So if you pass in

    SynAny `SynFun` (SynList `SynFun` SynType Int) `SynFun` SynAny

you'll get three types back: one for the first `SynAny`, the element type of the list, and one for the last `SynAny`. You don't get anything for the `SynType`, because you've said positively that it should be an Int, and so it shall be.

You'll also get three multiplicities back: one for each function arrow. See also Note [Linear types] in Multiplicity.

This is defined here to avoid defining it in GHC.Tc.Gen.Expr boot file.

Constructors

SynAny | Any type
SynRho | A rho type, skolemised or instantiated as appropriate
SynList | A list type. You get back the element type of the list
SynFun SyntaxOpType SyntaxOpType infixr 0 | A function.
SynType ExpType | A known type.

synKnownType :: TcType -> SyntaxOpType Source #

Like `SynType` but accepts a regular TcType

mkSynFunTys :: [SyntaxOpType] -> ExpType -> SyntaxOpType Source #

Like `mkFunTys` but for `SyntaxOpType`

data TcLevel Source #

Constructors

TcLevel !Int |
QLInstVar |

#### Instances

Instances details

Outputable TcLevel Source # |
Instance details Defined in GHC.Tc.Utils.TcType Methods ppr :: TcLevel -> SDoc Source #

topTcLevel :: TcLevel Source #

pushTcLevel :: TcLevel -> TcLevel Source #

isTopTcLevel :: TcLevel -> Bool Source #

strictlyDeeperThan :: TcLevel -> TcLevel -> Bool Source #

deeperThanOrSame :: TcLevel -> TcLevel -> Bool Source #

sameDepthAs :: TcLevel -> TcLevel -> Bool Source #

tcTypeLevel :: TcType -> TcLevel Source #

tcTyVarLevel :: TcTyVar -> TcLevel Source #

maxTcLevel :: TcLevel -> TcLevel -> TcLevel Source #

minTcLevel :: TcLevel -> TcLevel -> TcLevel Source #

data TcTyVarDetails Source #

Constructors

SkolemTv SkolemInfo TcLevel Bool |
RuntimeUnk |
MetaTv |

Fields

- mtv_info :: MetaInfo
- mtv_ref :: IORef MetaDetails
- mtv_tclvl :: TcLevel

#### Instances

Instances details

Outputable TcTyVarDetails Source # |
Instance details Defined in GHC.Tc.Utils.TcType Methods ppr :: TcTyVarDetails -> SDoc Source #

pprTcTyVarDetails :: TcTyVarDetails -> SDoc Source #

vanillaSkolemTvUnk :: HasDebugCallStack => TcTyVarDetails Source #

data MetaDetails Source #

Constructors

Flexi |
Indirect TcType |

#### Instances

Instances details

Outputable MetaDetails Source # |
Instance details Defined in GHC.Tc.Utils.TcType Methods ppr :: MetaDetails -> SDoc Source #

data MetaInfo Source #

What restrictions are on this metavariable around unification? These are checked in GHC.Tc.Utils.Unify.checkTopShape

Constructors

TauTv | This MetaTv is an ordinary unification variable A TauTv is always filled in with a tau-type, which never contains any ForAlls.
TyVarTv | A variant of TauTv, except that it should not be unified with a type, only with a type variable See Note [TyVarTv] in GHC.Tc.Utils.TcMType
RuntimeUnkTv | A unification variable used in the GHCi debugger. It is allowed to unify with a polytype, unlike TauTv
CycleBreakerTv |
ConcreteTv ConcreteTvOrigin | A unification variable that can only be unified with a concrete type, in the sense of Note [Concrete types] in GHC.Tc.Utils.Concrete. See Note [ConcreteTv] in GHC.Tc.Utils.Concrete. See also Note [The Concrete mechanism] in GHC.Tc.Utils.Concrete for an overview of how this works in context.

#### Instances

Instances details

Outputable MetaInfo Source # |
Instance details Defined in GHC.Tc.Utils.TcType Methods ppr :: MetaInfo -> SDoc Source #

skolemSkolInfo :: TcTyVar -> SkolemInfo Source #

isImmutableTyVar :: TyVar -> Bool Source #

isSkolemTyVar :: TcTyVar -> Bool Source #

isMetaTyVar :: TcTyVar -> Bool Source #

isMetaTyVarTy :: TcType -> Bool Source #

isTyVarTy :: Type -> Bool Source #

tcIsTcTyVar :: TcTyVar -> Bool Source #

isTyVarTyVar :: Var -> Bool Source #

isOverlappableTyVar :: TcTyVar -> Bool Source #

isTyConableTyVar :: TcTyVar -> Bool Source #

data ConcreteTvOrigin Source #

What caused us to create a `ConcreteTv` metavariable? See Note [ConcreteTv] in GHC.Tc.Utils.Concrete.

Constructors

ConcreteFRR FixedRuntimeRepOrigin | A `ConcreteTv` used to enforce the representation-polymorphism invariants. See `FixedRuntimeRepOrigin` for more information.

isConcreteTyVar_maybe :: TcTyVar -> Maybe ConcreteTvOrigin Source #

Is this type variable a concrete type variable, i.e. it is a metavariable with `ConcreteTv` `MetaInfo`?

Returns the `ConcreteTvOrigin` stored in the type variable if so, or `Nothing` otherwise.

isConcreteTyVar :: TcTyVar -> Bool Source #

Is this type variable a concrete type variable, i.e. it is a metavariable with `ConcreteTv` `MetaInfo`?

isConcreteTyVarTy :: TcType -> Bool Source #

Is this type concrete type variable, i.e. a metavariable with `ConcreteTv` `MetaInfo`?

isConcreteTyVarTy_maybe :: TcType -> Maybe (TcTyVar, ConcreteTvOrigin) Source #

Is this type a concrete type variable? If so, return the associated `TcTyVar` and `ConcreteTvOrigin`.

isConcreteInfo :: MetaInfo -> Bool Source #

type ConcreteTyVars = NameEnv ConcreteTvOrigin Source #

A mapping from skolem type variable `Name` to concreteness information,

See Note [Representation-polymorphism checking built-ins] in GHC.Tc.Utils.Concrete.

noConcreteTyVars :: ConcreteTyVars Source #

The `Id` has no outer forall'd type variables which must be instantiated to concrete types.

isAmbiguousTyVar :: TcTyVar -> Bool Source #

isCycleBreakerTyVar :: TcTyVar -> Bool Source #

metaTyVarRef :: TyVar -> IORef MetaDetails Source #

metaTyVarInfo :: TcTyVar -> MetaInfo Source #

isFlexi :: MetaDetails -> Bool Source #

isIndirect :: MetaDetails -> Bool Source #

isRuntimeUnkSkol :: TyVar -> Bool Source #

isQLInstTyVar :: TcTyVar -> Bool Source #

isRuntimeUnkTyVar :: TcTyVar -> Bool Source #

metaTyVarTcLevel :: TcTyVar -> TcLevel Source #

setMetaTyVarTcLevel :: TcTyVar -> TcLevel -> TcTyVar Source #

metaTyVarTcLevel_maybe :: TcTyVar -> Maybe TcLevel Source #

isTouchableMetaTyVar :: TcLevel -> TcTyVar -> Bool Source #

isPromotableMetaTyVar :: TcTyVar -> Bool Source #

findDupTyVarTvs :: [(Name, TcTyVar)] -> [(Name, Name)] Source #

mkTyVarNamePairs :: [TyVar] -> [(Name, TyVar)] Source #

mkInfSigmaTy :: HasDebugCallStack => [TyCoVar] -> [PredType] -> Type -> Type Source #

Make a sigma ty where all type variables are `Inferred`. That is, they cannot be used with visible type application.

mkSpecSigmaTy :: HasDebugCallStack => [TyVar] -> [PredType] -> Type -> Type Source #

Make a sigma ty where all type variables are "specified". That is, they can be used with visible type application

mkSigmaTy :: HasDebugCallStack => [ForAllTyBinder] -> [PredType] -> Type -> Type Source #

mkPhiTy :: HasDebugCallStack => [PredType] -> Type -> Type Source #

tcMkPhiTy :: HasDebugCallStack => [PredType] -> Type -> Type Source #

tcMkDFunSigmaTy :: [TyVar] -> ThetaType -> Type -> Type Source #

tcMkDFunPhiTy :: HasDebugCallStack => [PredType] -> Type -> Type Source #

getTyVar :: HasDebugCallStack => Type -> TyVar Source #

Attempts to obtain the type variable underlying a `Type`, and panics with the given message if this is not a type variable type. See also `getTyVar_maybe`

getTyVar_maybe :: Type -> Maybe TyVar Source #

Attempts to obtain the type variable underlying a `Type`

getCastedTyVar_maybe :: Type -> Maybe (TyVar, CoercionN) Source #

If the type is a tyvar, possibly under a cast, returns it, along with the coercion. Thus, the co is :: kind tv ~N kind ty

tcSplitForAllTyVarBinder_maybe :: Type -> Maybe (TyVarBinder, Type) Source #

tcSplitForAllTyVarsReqTVBindersN :: Arity -> Type -> (Arity, [ForAllTyBinder], Type) Source #

tcSplitForAllTyVars :: Type -> ([TyVar], Type) Source #

Like `tcSplitPiTys`, but splits off only named binders, returning just the tyvars.

tcSplitForAllInvisTyVars :: Type -> ([TyVar], Type) Source #

Like `tcSplitForAllTyVars`, but only splits `ForAllTy`s with `Invisible` type variable binders.

tcSplitSomeForAllTyVars :: (ForAllTyFlag -> Bool) -> Type -> ([TyVar], Type) Source #

Like `tcSplitForAllTyVars`, but only splits a `ForAllTy` if `argf_pred argf` is `True`, where `argf` is the visibility of the `ForAllTy`'s binder and `argf_pred` is a predicate over visibilities provided as an argument to this function.

tcSplitForAllReqTVBinders :: Type -> ([TcReqTVBinder], Type) Source #

Like `tcSplitForAllTyVars`, but only splits `ForAllTy`s with `Required` type variable binders. All split tyvars are annotated with `()`.

tcSplitForAllInvisTVBinders :: Type -> ([TcInvisTVBinder], Type) Source #

Like `tcSplitForAllTyVars`, but only splits `ForAllTy`s with `Invisible` type variable binders. All split tyvars are annotated with their `Specificity`.

tcSplitPiTys :: Type -> ([PiTyVarBinder], Type) Source #

Splits a forall type into a list of `PiTyVarBinder`s and the inner type. Always succeeds, even if it returns an empty list.

tcSplitPiTy_maybe :: Type -> Maybe (PiTyVarBinder, Type) Source #

Splits a type into a PiTyVarBinder and a body, if possible.

tcSplitForAllTyVarBinders :: Type -> ([TyVarBinder], Type) Source #

Like `tcSplitForAllTyVars`, but splits off only named binders.

tcSplitPhiTy :: Type -> (ThetaType, Type) Source #

tcSplitPredFunTy_maybe :: Type -> Maybe (PredType, Type) Source #

tcSplitFunTy_maybe :: Type -> Maybe (Scaled Type, Type) Source #

tcSplitFunTys :: Type -> ([Scaled Type], Type) Source #

tcFunArgTy :: Type -> Scaled Type Source #

tcFunResultTy :: Type -> Type Source #

tcFunResultTyN :: HasDebugCallStack => Arity -> Type -> Type Source #

Strips off n *visible* arguments and returns the resulting type

tcSplitFunTysN :: Arity -> TcRhoType -> Either Arity ([Scaled TcSigmaType], TcSigmaType) Source #

Split off exactly the specified number argument types Returns (Left m) if there are `m` missing arrows in the type (Right (tys,res)) if the type looks like t1 -> ... -> tn -> res

tcSplitTyConApp :: Type -> (TyCon, [Type]) Source #

tcSplitTyConApp_maybe :: HasDebugCallStack => Type -> Maybe (TyCon, [Type]) Source #

tcSplitTyConApp_maybe splits a type constructor application into its type constructor and applied types.

Differs from splitTyConApp_maybe in that it does *not* split types headed with (=>), as that's not a TyCon in the type-checker.

Note that this may fail (in funTyConAppTy_maybe) in the case of a `FunTy` with an argument of unknown kind `FunTy` (e.g. `FunTy (a :: k) Int`, since the kind of `a` isn't of the form `TYPE rep`. This isn't usually a problem but may be temporarily the case during canonicalization: see Note [Decomposing FunTy] in GHC.Tc.Solver.Equality and Note [The Purely Kinded Type Invariant (PKTI)] in GHC.Tc.Gen.HsType, Wrinkle around FunTy

Consequently, you may need to zonk your type before using this function.

tcTyConAppTyCon :: Type -> TyCon Source #

tcTyConAppTyCon_maybe :: Type -> Maybe TyCon Source #

Like `tcRepSplitTyConApp_maybe`, but only returns the `TyCon`.

tcTyConAppArgs :: Type -> [Type] Source #

tcSplitAppTy_maybe :: Type -> Maybe (Type, Type) Source #

tcSplitAppTy :: Type -> (Type, Type) Source #

tcSplitAppTys :: Type -> (Type, [Type]) Source #

tcSplitAppTyNoView_maybe :: Type -> Maybe (Type, Type) Source #

Just like splitAppTyNoView_maybe, but does not split (c => t) See Note [Decomposing fat arrow c=>t]

tcSplitSigmaTy :: Type -> ([TyVar], ThetaType, Type) Source #

Split a sigma type into its parts. This only splits invisible type variable binders, as these are the only forms of binder that the typechecker will implicitly instantiate.

tcSplitSigmaTyBndrs :: Type -> ([TcInvisTVBinder], ThetaType, Type) Source #

tcSplitNestedSigmaTys :: Type -> ([TyVar], ThetaType, Type) Source #

Split a sigma type into its parts, going underneath as many arrows and foralls as possible. See Note [tcSplitNestedSigmaTys]

tcSplitIOType_maybe :: Type -> Maybe (TyCon, Type) Source #

isSigmaTy :: TcType -> Bool Source #

isRhoTy :: TcType -> Bool Source #

isRhoExpTy :: ExpType -> Bool Source #

Like `isRhoTy`, but also says `True` for `Infer` types

isOverloadedTy :: Type -> Bool Source #

isFloatingPrimTy :: Type -> Bool Source #

Is the type inhabited by machine floating-point numbers?

Used to check that we don't use floating-point literal patterns in Core.

See #9238 and Note [Rules for floating-point comparisons] in GHC.Core.Opt.ConstantFold.

isDoubleTy :: Type -> Bool Source #

isFloatTy :: Type -> Bool Source #

isIntTy :: Type -> Bool Source #

isWordTy :: Type -> Bool Source #

isStringTy :: Type -> Bool Source #

Is a type `String`?

isIntegerTy :: Type -> Bool Source #

isNaturalTy :: Type -> Bool Source #

isBoolTy :: Type -> Bool Source #

isUnitTy :: Type -> Bool Source #

isCharTy :: Type -> Bool Source #

isTauTy :: Type -> Bool Source #

isTauTyCon :: TyCon -> Bool Source #

tcIsTyVarTy :: Type -> Bool Source #

isPredTy :: HasDebugCallStack => Type -> Bool Source #

isTyVarClassPred :: PredType -> Bool Source #

checkValidClsArgs :: Bool -> Class -> [KindOrType] -> Bool Source #

hasTyVarHead :: Type -> Bool Source #

isRigidTy :: TcType -> Bool Source #

anyTy_maybe :: Type -> Maybe Kind Source #

Check whether the type is of the form `Any :: k`, returning the kind `k`.

eqType :: HasCallStack => Type -> Type -> Bool Source #

Type equality comparing both visible and invisible arguments, expanding synonyms and respecting multiplicities.

eqTypes :: [Type] -> [Type] -> Bool Source #

Type equality on lists of types, looking through type synonyms

nonDetCmpType :: Type -> Type -> Ordering Source #

eqTypeX :: HasCallStack => RnEnv2 -> Type -> Type -> Bool Source #

Compare types with respect to a (presumably) non-empty `RnEnv2`.

pickyEqType :: Type -> Type -> Bool Source #

Like `pickyEqTypeVis`, but returns a Bool for convenience

tcEqType :: HasDebugCallStack => Type -> Type -> Bool Source #

tcEqKind :: HasDebugCallStack => Kind -> Kind -> Bool Source #

tcEqTypeNoKindCheck :: Type -> Type -> Bool Source #

Just like `tcEqType`, but will return True for types of different kinds as long as their non-coercion structure is identical.

mayLookIdentical :: Type -> Type -> Bool Source #

Returns True if the visible part of the types might look equal, even if they are really unequal (in the invisible bits)

This function is very similar to tc_eq_type but it is much more heuristic. Notably, it is always safe to return True, even with types that might (in truth) be unequal -- this affects error messages only (Originally this test was done by eqType with an extra flag, but the result was hard to understand.)

tcEqTyConApps :: TyCon -> [Type] -> TyCon -> [Type] -> Bool Source #

Check whether two TyConApps are the same; if the number of arguments are different, just checks the common prefix of arguments.

eqForAllVis :: ForAllTyFlag -> ForAllTyFlag -> Bool Source #

Do these denote the same level of visibility? `Required` arguments are visible, others are not. So this function equates `Specified` and `Inferred`. Used for printing.

eqVarBndrs :: HasCallStack => RnEnv2 -> [Var] -> [Var] -> Maybe RnEnv2 Source #

deNoteType :: Type -> Type Source #

getDFunTyKey :: Type -> OccName Source #

evVarPred :: EvVar -> PredType Source #

ambigTkvsOfTy :: TcType -> ([Var], [Var]) Source #

Returns the (kind, type) variables in a type that are as-yet-unknown: metavariables and RuntimeUnks

mkMinimalBySCs :: (a -> PredType) -> [a] -> [a] Source #

transSuperClasses :: PredType -> [PredType] Source #

pickCapturedPreds :: TyVarSet -> TcThetaType -> TcThetaType Source #

immSuperClasses :: Class -> [Type] -> [PredType] Source #

boxEqPred :: EqRel -> Type -> Type -> Maybe (Class, [Type]) Source #

isImprovementPred :: PredType -> Bool Source #

# Finding type instances

tcTyFamInsts :: Type -> [(TyCon, [Type])] Source #

Finds outermost type-family applications occurring in a type, after expanding synonyms. In the list (F, tys) that is returned we guarantee that tys matches F's arity. For example, given type family F a :: * -> * (arity 1) calling tcTyFamInsts on (Maybe (F Int Bool) will return (F, [Int]), not (F, [Int,Bool])

This is important for its use in deciding termination of type instances (see #11581). E.g. type instance G [Int] = ...(F Int <big type>)... we don't need to take <big type> into account when asking if the calls on the RHS are smaller than the LHS

tcTyFamInstsAndVis :: Type -> [(Bool, TyCon, [Type])] Source #

Like `tcTyFamInsts`, except that the output records whether the type family and its arguments occur as an invisible argument in some type application. This information is useful because it helps GHC know when to turn on `-fprint-explicit-kinds` during error reporting so that users can actually see the type family being mentioned.

As an example, consider:

    class C a
    data T (a :: k)
    type family F a :: k
    instance C (T @(F Int) (F Bool))

There are two occurrences of the type family `F` in that `C` instance, so ``tcTyFamInstsAndVis` (C (T @(F Int) (F Bool)))` will return:

    [ (True,  F, [Int])
    , (False, F, [Bool]) ]

`F Int` is paired with `True` since it appears as an invisible argument to `C`, whereas `F Bool` is paired with `False` since it appears an a visible argument to `C`.

See also Note [Showing invisible bits of types in error messages] in GHC.Tc.Errors.Ppr.

tcTyConAppTyFamInstsAndVis :: TyCon -> [Type] -> [(Bool, TyCon, [Type])] Source #

In an application of a `TyCon` to some arguments, find the outermost occurrences of type family applications within the arguments. This function will not consider the `TyCon` itself when checking for type family applications.

See `tcTyFamInstsAndVis` for more details on how this works (as this function is called inside of `tcTyFamInstsAndVis`).

isTyFamFree :: Type -> Bool Source #

Check that a type does not contain any type family applications.

# Finding "exact" (non-dead) type variables

exactTyCoVarsOfType :: Type -> TyCoVarSet Source #

exactTyCoVarsOfTypes :: [Type] -> TyCoVarSet Source #

anyRewritableTyVar :: EqRel -> (UnderFam -> EqRel -> TcTyVar -> Bool) -> TcType -> Bool Source #

anyRewritableTyFamApp :: EqRel -> (UnderFam -> EqRel -> TyCon -> [TcType] -> Bool) -> TcType -> Bool Source #

type UnderFam = Bool Source #

data PatersonSize Source #

The Paterson size of a given type, in the sense of Note [Paterson conditions] in GHC.Tc.Validity

- after expanding synonyms,
- ignoring coercions (as they are not user written).

Constructors

PS_TyFam TyCon | The type mentions a type family, so the size could be anything.
PS_Vanilla | The type does not mention a type family.

Fields

- ps_tvs :: [TyVar]

  free tyvars, including repetitions;

- ps_size :: Int

  number of type constructors and variables

#### Instances

Instances details

Outputable PatersonSize Source # |
Instance details Defined in GHC.Tc.Utils.TcType Methods ppr :: PatersonSize -> SDoc Source #

data PatersonCondFailure Source #

Why did the Paterson conditions fail; that is, why was the context P not Paterson-smaller than the head H?

See Note [Paterson conditions] in GHC.Tc.Validity.

Constructors

PCF_TyVar | Some type variables occur more often in P than in H. See (PC1) in Note [Paterson conditions] in GHC.Tc.Validity.

Fields

- [TyVar]

  the type variables which appear more often in the context | P is not smaller in size than H. See (PC2) in Note [Paterson conditions] in GHC.Tc.Validity.

PCF_Size |
PCF_TyFam | P contains a type family. See (PC3) in Note [Paterson conditions] in GHC.Tc.Validity.

Fields

- TyCon

  the type constructor of the type family

data PatersonCondFailureContext Source #

Indicates whether a Paterson condition failure occurred in an instance declaration or a type family equation. Useful for differentiating context in error messages.

Constructors

InInstanceDecl |
InTyFamEquation |

ltPatersonSize :: PatersonSize -> PatersonSize -> Maybe PatersonCondFailure Source #

`ltPatersonSize ps1 ps2` returns:

- `Nothing` iff `ps1` is definitely strictly smaller than `ps2`,
- `Just ps_fail` otherwise; `ps_fail` says what went wrong.

pSizeZero :: PatersonSize Source #

pSizeOne :: PatersonSize Source #

pSizeType :: Type -> PatersonSize Source #

pSizeTypeX :: VarSet -> Type -> PatersonSize Source #

pSizeTypes :: [Type] -> PatersonSize Source #

pSizeClassPred :: Class -> [Type] -> PatersonSize Source #

pSizeClassPredX :: VarSet -> Class -> [Type] -> PatersonSize Source #

pSizeTyConApp :: TyCon -> [Type] -> PatersonSize Source #

noMoreTyVars :: [TyVar] -> [TyVar] -> [TyVar] Source #

allDistinctTyVars :: TyVarSet -> [KindOrType] -> Bool Source #

type TypeSize = IntWithInf Source #

sizeType :: Type -> TypeSize Source #

sizeTypes :: [Type] -> TypeSize Source #

scopedSort :: [TyCoVar] -> [TyCoVar] Source #

Do a topological sort on a list of tyvars, so that binders occur before occurrences E.g. given [ a::k, k::*, b::k ] it'll return a well-scoped list [ k::*, a::k, b::k ]

This is a deterministic sorting operation (that is, doesn't depend on Uniques).

It is also meant to be stable: that is, variables should not be reordered unnecessarily. This is specified in Note [ScopedSort] See also Note [Ordering of implicit variables] in GHC.Rename.HsType

isTerminatingClass :: Class -> Bool Source #

When this says True, ignore this class constraint during a termination check See (PS1) in Note [The PatersonSize of a type]

isStuckTypeFamily :: TyCon -> Bool Source #

type Kind = Type Source #

The key type representing kinds in the compiler.

liftedTypeKind :: Type Source #

constraintKind :: Kind Source #

isLiftedTypeKind :: Kind -> Bool Source #

Returns True if the argument is (lifted) Type or Constraint See Note [TYPE and CONSTRAINT] in GHC.Builtin.Types.Prim

isUnliftedTypeKind :: Kind -> Bool Source #

Returns True if the kind classifies unlifted types (like 'Int#') and False otherwise. Note that this returns False for representation-polymorphic kinds, which may be specialized to a kind that classifies unlifted types.

isTYPEorCONSTRAINT :: Kind -> Bool Source #

Does this classify a type allowed to have values? Responds True to things like *, TYPE Lifted, TYPE IntRep, TYPE v, Constraint.

True of a kind `TYPE _` or `CONSTRAINT _`

data Type Source #

#### Instances

Instances details

Data Type Source # |

Instance details

Defined in GHC.Core.TyCo.Rep

Methods

gfoldl :: (forall d b. Data d => c (d -> b) -> d -> c b) -> (forall g. g -> c g) -> Type -> c Type Source #

gunfold :: (forall b r. Data b => c (b -> r) -> c r) -> (forall r. r -> c r) -> Constr -> c Type Source #

toConstr :: Type -> Constr Source #

dataTypeOf :: Type -> DataType Source #

dataCast1 :: Typeable t => (forall d. Data d => c (t d)) -> Maybe (c Type) Source #

dataCast2 :: Typeable t => (forall d e. (Data d, Data e) => c (t d e)) -> Maybe (c Type) Source #

gmapT :: (forall b. Data b => b -> b) -> Type -> Type Source #

gmapQl :: (r -> r' -> r) -> r -> (forall d. Data d => d -> r') -> Type -> r Source #

gmapQr :: forall r r'. (r' -> r -> r) -> r -> (forall d. Data d => d -> r') -> Type -> r Source #

gmapQ :: (forall d. Data d => d -> u) -> Type -> [u] Source #

gmapQi :: Int -> (forall d. Data d => d -> u) -> Type -> u Source #

gmapM :: Monad m => (forall d. Data d => d -> m d) -> Type -> m Type Source #

gmapMp :: MonadPlus m => (forall d. Data d => d -> m d) -> Type -> m Type Source #

gmapMo :: MonadPlus m => (forall d. Data d => d -> m d) -> Type -> m Type Source #

Outputable Type Source # |
Instance details Defined in GHC.Core.TyCo.Rep Methods ppr :: Type -> SDoc Source #
Eq (DeBruijn Type) Source # |
Instance details Defined in GHC.Core.Map.Type Methods (==) :: DeBruijn Type -> DeBruijn Type -> Bool Source # (/=) :: DeBruijn Type -> DeBruijn Type -> Bool Source #

type PredType = Type Source #

A type of the form `p` of constraint kind represents a value whose type is the Haskell predicate `p`, where a predicate is what occurs before the `=>` in a Haskell type.

We use `PredType` as documentation to mark those types that we guarantee to have this kind.

It can be expanded into its representation, but:

- The type checker must treat it as opaque
- The rest of the compiler treats it as transparent

Consider these examples:

    f :: (Eq a) => a -> Int
    g :: (?x :: Int -> Int) => a -> Int
    h :: (r\l) => {r} => {l::Int | r}

Here the `Eq a` and `?x :: Int -> Int` and `rl` are all called "predicates"

type ThetaType = [PredType] Source #

A collection of `PredType`s

data PiTyBinder Source #

A `PiTyBinder` represents an argument to a function. PiTyBinders can be dependent (`Named`) or nondependent (`Anon`). They may also be visible or not. See Note [PiTyBinders]

#### Instances

Instances details

Data PiTyBinder Source # |

Instance details

Defined in GHC.Types.Var

Methods

gfoldl :: (forall d b. Data d => c (d -> b) -> d -> c b) -> (forall g. g -> c g) -> PiTyBinder -> c PiTyBinder Source #

gunfold :: (forall b r. Data b => c (b -> r) -> c r) -> (forall r. r -> c r) -> Constr -> c PiTyBinder Source #

toConstr :: PiTyBinder -> Constr Source #

dataTypeOf :: PiTyBinder -> DataType Source #

dataCast1 :: Typeable t => (forall d. Data d => c (t d)) -> Maybe (c PiTyBinder) Source #

dataCast2 :: Typeable t => (forall d e. (Data d, Data e) => c (t d e)) -> Maybe (c PiTyBinder) Source #

gmapT :: (forall b. Data b => b -> b) -> PiTyBinder -> PiTyBinder Source #

gmapQl :: (r -> r' -> r) -> r -> (forall d. Data d => d -> r') -> PiTyBinder -> r Source #

gmapQr :: forall r r'. (r' -> r -> r) -> r -> (forall d. Data d => d -> r') -> PiTyBinder -> r Source #

gmapQ :: (forall d. Data d => d -> u) -> PiTyBinder -> [u] Source #

gmapQi :: Int -> (forall d. Data d => d -> u) -> PiTyBinder -> u Source #

gmapM :: Monad m => (forall d. Data d => d -> m d) -> PiTyBinder -> m PiTyBinder Source #

gmapMp :: MonadPlus m => (forall d. Data d => d -> m d) -> PiTyBinder -> m PiTyBinder Source #

gmapMo :: MonadPlus m => (forall d. Data d => d -> m d) -> PiTyBinder -> m PiTyBinder Source #

Outputable PiTyBinder Source # |
Instance details Defined in GHC.Types.Var Methods ppr :: PiTyBinder -> SDoc Source #

data ForAllTyFlag Source #

ForAllTyFlag

Is something required to appear in source Haskell (`Required`), permitted by request (`Specified`) (visible type application), or prohibited entirely from appearing in source Haskell (`Inferred`)? See Note [VarBndrs, ForAllTyBinders, TyConBinders, and visibility] in GHC.Core.TyCo.Rep

Constructors

Invisible !Specificity |
Required |

Bundled Patterns

pattern Specified :: ForAllTyFlag |
pattern Inferred :: ForAllTyFlag |

#### Instances

Instances details

NFData ForAllTyFlag Source # |
Instance details Defined in GHC.Hs.Specificity Methods rnf :: ForAllTyFlag -> () Source #
Data ForAllTyFlag Source # |

Instance details

Defined in Language.Haskell.Syntax.Specificity

Methods

gfoldl :: (forall d b. Data d => c (d -> b) -> d -> c b) -> (forall g. g -> c g) -> ForAllTyFlag -> c ForAllTyFlag Source #

gunfold :: (forall b r. Data b => c (b -> r) -> c r) -> (forall r. r -> c r) -> Constr -> c ForAllTyFlag Source #

toConstr :: ForAllTyFlag -> Constr Source #

dataTypeOf :: ForAllTyFlag -> DataType Source #

dataCast1 :: Typeable t => (forall d. Data d => c (t d)) -> Maybe (c ForAllTyFlag) Source #

dataCast2 :: Typeable t => (forall d e. (Data d, Data e) => c (t d e)) -> Maybe (c ForAllTyFlag) Source #

gmapT :: (forall b. Data b => b -> b) -> ForAllTyFlag -> ForAllTyFlag Source #

gmapQl :: (r -> r' -> r) -> r -> (forall d. Data d => d -> r') -> ForAllTyFlag -> r Source #

gmapQr :: forall r r'. (r' -> r -> r) -> r -> (forall d. Data d => d -> r') -> ForAllTyFlag -> r Source #

gmapQ :: (forall d. Data d => d -> u) -> ForAllTyFlag -> [u] Source #

gmapQi :: Int -> (forall d. Data d => d -> u) -> ForAllTyFlag -> u Source #

gmapM :: Monad m => (forall d. Data d => d -> m d) -> ForAllTyFlag -> m ForAllTyFlag Source #

gmapMp :: MonadPlus m => (forall d. Data d => d -> m d) -> ForAllTyFlag -> m ForAllTyFlag Source #

gmapMo :: MonadPlus m => (forall d. Data d => d -> m d) -> ForAllTyFlag -> m ForAllTyFlag Source #

Binary ForAllTyFlag Source # |
Instance details Defined in GHC.Hs.Specificity Methods put_ :: WriteBinHandle -> ForAllTyFlag -> IO () Source # put :: WriteBinHandle -> ForAllTyFlag -> IO (Bin ForAllTyFlag) Source # get :: ReadBinHandle -> IO ForAllTyFlag Source #
Outputable ForAllTyFlag Source # |
Instance details Defined in GHC.Hs.Specificity Methods ppr :: ForAllTyFlag -> SDoc Source #
Eq ForAllTyFlag Source # |
Instance details Defined in Language.Haskell.Syntax.Specificity Methods (==) :: ForAllTyFlag -> ForAllTyFlag -> Bool Source # (/=) :: ForAllTyFlag -> ForAllTyFlag -> Bool Source #
Ord ForAllTyFlag Source # |

Instance details

Defined in Language.Haskell.Syntax.Specificity

Methods

compare :: ForAllTyFlag -> ForAllTyFlag -> Ordering Source #

(<) :: ForAllTyFlag -> ForAllTyFlag -> Bool Source #

(<=) :: ForAllTyFlag -> ForAllTyFlag -> Bool Source #

(>) :: ForAllTyFlag -> ForAllTyFlag -> Bool Source #

(>=) :: ForAllTyFlag -> ForAllTyFlag -> Bool Source #

max :: ForAllTyFlag -> ForAllTyFlag -> ForAllTyFlag Source #

min :: ForAllTyFlag -> ForAllTyFlag -> ForAllTyFlag Source #

Outputable tv => Outputable (VarBndr tv ForAllTyFlag) Source # |
Instance details Defined in GHC.Types.Var Methods ppr :: VarBndr tv ForAllTyFlag -> SDoc Source #

data FunTyFlag Source #

The non-dependent version of `ForAllTyFlag`. See Note [FunTyFlag] Appears here partly so that it's together with its friends ForAllTyFlag and ForallVisFlag, but also because it is used in IfaceType, rather early in the compilation chain

Constructors

FTF_T_T |
FTF_T_C |
FTF_C_T |
FTF_C_C |

#### Instances

Instances details

Data FunTyFlag Source # |

Instance details

Defined in GHC.Types.Var

Methods

gfoldl :: (forall d b. Data d => c (d -> b) -> d -> c b) -> (forall g. g -> c g) -> FunTyFlag -> c FunTyFlag Source #

gunfold :: (forall b r. Data b => c (b -> r) -> c r) -> (forall r. r -> c r) -> Constr -> c FunTyFlag Source #

toConstr :: FunTyFlag -> Constr Source #

dataTypeOf :: FunTyFlag -> DataType Source #

dataCast1 :: Typeable t => (forall d. Data d => c (t d)) -> Maybe (c FunTyFlag) Source #

dataCast2 :: Typeable t => (forall d e. (Data d, Data e) => c (t d e)) -> Maybe (c FunTyFlag) Source #

gmapT :: (forall b. Data b => b -> b) -> FunTyFlag -> FunTyFlag Source #

gmapQl :: (r -> r' -> r) -> r -> (forall d. Data d => d -> r') -> FunTyFlag -> r Source #

gmapQr :: forall r r'. (r' -> r -> r) -> r -> (forall d. Data d => d -> r') -> FunTyFlag -> r Source #

gmapQ :: (forall d. Data d => d -> u) -> FunTyFlag -> [u] Source #

gmapQi :: Int -> (forall d. Data d => d -> u) -> FunTyFlag -> u Source #

gmapM :: Monad m => (forall d. Data d => d -> m d) -> FunTyFlag -> m FunTyFlag Source #

gmapMp :: MonadPlus m => (forall d. Data d => d -> m d) -> FunTyFlag -> m FunTyFlag Source #

gmapMo :: MonadPlus m => (forall d. Data d => d -> m d) -> FunTyFlag -> m FunTyFlag Source #

Binary FunTyFlag Source # |
Instance details Defined in GHC.Types.Var Methods put_ :: WriteBinHandle -> FunTyFlag -> IO () Source # put :: WriteBinHandle -> FunTyFlag -> IO (Bin FunTyFlag) Source # get :: ReadBinHandle -> IO FunTyFlag Source #
Outputable FunTyFlag Source # |
Instance details Defined in GHC.Types.Var Methods ppr :: FunTyFlag -> SDoc Source #
Eq FunTyFlag Source # |
Instance details Defined in GHC.Types.Var Methods (==) :: FunTyFlag -> FunTyFlag -> Bool Source # (/=) :: FunTyFlag -> FunTyFlag -> Bool Source #
Ord FunTyFlag Source # |
Instance details Defined in GHC.Types.Var Methods compare :: FunTyFlag -> FunTyFlag -> Ordering Source # (<) :: FunTyFlag -> FunTyFlag -> Bool Source # (<=) :: FunTyFlag -> FunTyFlag -> Bool Source # (>) :: FunTyFlag -> FunTyFlag -> Bool Source # (>=) :: FunTyFlag -> FunTyFlag -> Bool Source # max :: FunTyFlag -> FunTyFlag -> FunTyFlag Source # min :: FunTyFlag -> FunTyFlag -> FunTyFlag Source #

mkForAllTy :: ForAllTyBinder -> Type -> Type Source #

Like `mkTyCoForAllTy`, but does not check the occurrence of the binder See Note [Unused coercion variable in ForAllTy]

mkForAllTys :: [ForAllTyBinder] -> Type -> Type Source #

Wraps foralls over the type using the provided `TyCoVar`s from left to right

mkInvisForAllTys :: [InvisTVBinder] -> Type -> Type Source #

Wraps foralls over the type using the provided `InvisTVBinder`s from left to right

mkTyCoInvForAllTys :: [TyCoVar] -> Type -> Type Source #

Like `mkForAllTys`, but assumes all variables are dependent and `Inferred`, a common case

mkSpecForAllTys :: [TyVar] -> Type -> Type Source #

Like `mkForAllTys`, but assumes all variables are dependent and `Specified`, a common case

mkTyCoInvForAllTy :: TyCoVar -> Type -> Type Source #

Make a dependent forall over an `Inferred` variable

mkInfForAllTy :: TyVar -> Type -> Type Source #

Like `mkTyCoInvForAllTy`, but tv should be a tyvar

mkInfForAllTys :: [TyVar] -> Type -> Type Source #

Like `mkTyCoInvForAllTys`, but tvs should be a list of tyvar

mkVisFunTy :: HasDebugCallStack => Mult -> Type -> Type -> Type Source #

mkVisFunTyMany :: HasDebugCallStack => Type -> Type -> Type infixr 3 Source #

Make nested arrow types | Special, common, case: Arrow type with mult Many

mkVisFunTysMany :: [Type] -> Type -> Type Source #

mkScaledFunTys :: HasDebugCallStack => [Scaled Type] -> Type -> Type Source #

mkInvisFunTy :: HasDebugCallStack => Type -> Type -> Type infixr 3 Source #

mkInvisFunTys :: HasDebugCallStack => [Type] -> Type -> Type Source #

mkTyConApp :: TyCon -> [Type] -> Type Source #

A key function: builds a `TyConApp` or `FunTy` as appropriate to its arguments. Applies its arguments to the constructor from left to right.

mkAppTy :: Type -> Type -> Type Source #

Applies a type to another, as in e.g. `k a`

mkAppTys :: Type -> [Type] -> Type Source #

mkTyConTy :: TyCon -> Type Source #

(mkTyConTy tc) returns (TyConApp tc []) but arranges to share that TyConApp among all calls See Note [Sharing nullary TyConApps] So it's just an alias for tyConNullaryTy!

mkTyVarTy :: TyVar -> Type Source #

mkTyVarTys :: [TyVar] -> [Type] Source #

mkTyCoVarTy :: TyCoVar -> Type Source #

mkTyCoVarTys :: [TyCoVar] -> [Type] Source #

isClassPred :: PredType -> Bool Source #

isEqPrimPred :: PredType -> Bool Source #

isIPLikePred :: Type -> Bool Source #

isEqPred :: PredType -> Bool Source #

isEqualityClass :: Class -> Bool Source #

mkClassPred :: Class -> [Type] -> PredType Source #

tcSplitQuantPredTy :: Type -> ([TyVar], [Type], PredType) Source #

tcSplitDFunTy :: Type -> ([TyVar], [Type], Class, [Type]) Source #

tcSplitDFunHead :: Type -> (Class, [Type]) Source #

tcSplitMethodTy :: Type -> ([TyVar], PredType, Type) Source #

isRuntimeRepVar :: TyVar -> Bool Source #

Is a tyvar of type `RuntimeRep`?

isFixedRuntimeRepKind :: HasDebugCallStack => Kind -> Bool Source #

Checks that a kind of the form `Type`, `Constraint` or `'TYPE r` is concrete. See `isConcreteType`.

Precondition: The type has kind `TYPE blah` or `CONSTRAINT blah`

isVisiblePiTyBinder :: PiTyBinder -> Bool Source #

Does this binder bind a visible argument?

isInvisiblePiTyBinder :: PiTyBinder -> Bool Source #

Does this binder bind an invisible argument?

data Subst Source #

Type & coercion & id substitution

The Subst data type defined in this module contains substitution for tyvar, covar and id. However, operations on IdSubstEnv (mapping from Id to CoreExpr) that require the definition of the Expr data type are defined in GHC.Core.Subst to avoid circular module dependency.

Constructors

Subst InScopeSet IdSubstEnv TvSubstEnv CvSubstEnv |

#### Instances

Instances details

Outputable Subst Source # |
Instance details Defined in GHC.Core.TyCo.Subst Methods ppr :: Subst -> SDoc Source #

type TvSubstEnv = TyVarEnv Type Source #

A substitution of `Type`s for `TyVar`s and `Kind`s for `KindVar`s

emptySubst :: Subst Source #

mkEmptySubst :: InScopeSet -> Subst Source #

zipTvSubst :: HasDebugCallStack => [TyVar] -> [Type] -> Subst Source #

Generates the in-scope set for the `Subst` from the types in the incoming environment. No CoVars or Ids, please!

mkTvSubstPrs :: [(TyVar, Type)] -> Subst Source #

Generates the in-scope set for the `TCvSubst` from the types in the incoming environment. No CoVars, please! The InScopeSet is just a thunk so with a bit of luck it'll never be evaluated

notElemSubst :: Var -> Subst -> Bool Source #

unionSubst :: Subst -> Subst -> Subst Source #

getTvSubstEnv :: Subst -> TvSubstEnv Source #

getSubstInScope :: Subst -> InScopeSet Source #

Find the in-scope set: see Note [The substitution invariant]

extendSubstInScope :: Subst -> Var -> Subst Source #

Add the `Var` to the in-scope set

extendSubstInScopeList :: Subst -> [Var] -> Subst Source #

Add the `Var`s to the in-scope set: see also `extendInScope`

extendSubstInScopeSet :: Subst -> VarSet -> Subst Source #

Add the `Var`s to the in-scope set: see also `extendInScope`

extendTvSubstAndInScope :: Subst -> TyVar -> Type -> Subst Source #

lookupTyVar :: Subst -> TyVar -> Maybe Type Source #

extendTCvSubst :: Subst -> TyCoVar -> Type -> Subst Source #

substTyVarBndr :: HasDebugCallStack => Subst -> TyVar -> (Subst, TyVar) Source #

extendTvSubst :: Subst -> TyVar -> Type -> Subst Source #

Add a substitution for a `TyVar` to the `Subst` The `TyVar` *must* be a real TyVar, and not a CoVar You must ensure that the in-scope set is such that Note [The substitution invariant] holds after extending the substitution like this.

isInScope :: Var -> Subst -> Bool Source #

mkTCvSubst :: InScopeSet -> TvSubstEnv -> CvSubstEnv -> Subst Source #

mkTvSubst :: InScopeSet -> TvSubstEnv -> Subst Source #

Make a TCvSubst with specified tyvar subst and empty covar subst

zipTyEnv :: HasDebugCallStack => [TyVar] -> [Type] -> TvSubstEnv Source #

The InScopeSet is just a thunk so with a bit of luck it'll never be evaluated

zipCoEnv :: HasDebugCallStack => [CoVar] -> [Coercion] -> CvSubstEnv Source #

substTy :: HasDebugCallStack => Subst -> Type -> Type Source #

Substitute within a `Type` The substitution has to satisfy the invariants described in Note [The substitution invariant].

substTys :: HasDebugCallStack => Subst -> [Type] -> [Type] Source #

Substitute within several `Type`s The substitution has to satisfy the invariants described in Note [The substitution invariant].

substScaledTys :: HasDebugCallStack => Subst -> [Scaled Type] -> [Scaled Type] Source #

substTyWith :: HasDebugCallStack => [TyVar] -> [Type] -> Type -> Type Source #

Type substitution, see `zipTvSubst`

substTyWithCoVars :: [CoVar] -> [Coercion] -> Type -> Type Source #

Substitute covars within a type

substTyAddInScope :: HasDebugCallStack => Subst -> Type -> Type Source #

Substitute within a `Type` after adding the free variables of the type to the in-scope set. This is useful for the case when the free variables aren't already in the in-scope set or easily available. See also Note [The substitution invariant].

substTyUnchecked :: Subst -> Type -> Type Source #

Substitute within a `Type` disabling the sanity checks. The problems that the sanity checks in substTy catch are described in Note [The substitution invariant]. The goal of #11371 is to migrate all the calls of substTyUnchecked to substTy and remove this function. Please don't use in new code.

substTysUnchecked :: Subst -> [Type] -> [Type] Source #

Substitute within several `Type`s disabling the sanity checks. The problems that the sanity checks in substTys catch are described in Note [The substitution invariant]. The goal of #11371 is to migrate all the calls of substTysUnchecked to substTys and remove this function. Please don't use in new code.

substScaledTyUnchecked :: HasDebugCallStack => Subst -> Scaled Type -> Scaled Type Source #

substThetaUnchecked :: Subst -> ThetaType -> ThetaType Source #

Substitute within a `ThetaType` disabling the sanity checks. The problems that the sanity checks in substTys catch are described in Note [The substitution invariant]. The goal of #11371 is to migrate all the calls of substThetaUnchecked to substTheta and remove this function. Please don't use in new code.

substTyWithUnchecked :: [TyVar] -> [Type] -> Type -> Type Source #

Type substitution, see `zipTvSubst`. Disables sanity checks. The problems that the sanity checks in substTy catch are described in Note [The substitution invariant]. The goal of #11371 is to migrate all the calls of substTyUnchecked to substTy and remove this function. Please don't use in new code.

substCoUnchecked :: Subst -> Coercion -> Coercion Source #

Substitute within a `Coercion` disabling sanity checks. The problems that the sanity checks in substCo catch are described in Note [The substitution invariant]. The goal of #11371 is to migrate all the calls of substCoUnchecked to substCo and remove this function. Please don't use in new code.

substCoWithUnchecked :: [TyVar] -> [Type] -> Coercion -> Coercion Source #

Coercion substitution, see `zipTvSubst`. Disables sanity checks. The problems that the sanity checks in substCo catch are described in Note [The substitution invariant]. The goal of #11371 is to migrate all the calls of substCoUnchecked to substCo and remove this function. Please don't use in new code.

substTheta :: HasDebugCallStack => Subst -> ThetaType -> ThetaType Source #

Substitute within a `ThetaType` The substitution has to satisfy the invariants described in Note [The substitution invariant].

isUnliftedType :: HasDebugCallStack => Type -> Bool Source #

Is the given type definitely unlifted? See Type for what an unlifted type is.

Panics on representation-polymorphic types; See `mightBeUnliftedType` for a more approximate predicate that behaves better in the presence of representation polymorphism.

isUnboxedTupleType :: Type -> Bool Source #

isPrimitiveType :: Type -> Bool Source #

Returns true of types that are opaque to Haskell.

coreView :: Type -> Maybe Type Source #

This function strips off the top layer only of a type synonym application (if any) its underlying representation type. Returns `Nothing` if there is nothing to look through.

This function does not look through type family applications.

By being non-recursive and inlined, this case analysis gets efficiently joined onto the case analysis that the caller is already doing

tyCoVarsOfType :: Type -> TyCoVarSet Source #

tyCoVarsOfTypes :: [Type] -> TyCoVarSet Source #

closeOverKinds :: TyCoVarSet -> TyCoVarSet Source #

tyCoFVsOfType :: Type -> FV Source #

The worker for `tyCoFVsOfType` and `tyCoFVsOfTypeList`. The previous implementation used `unionVarSet` which is O(n+m) and can make the function quadratic. It's exported, so that it can be composed with other functions that compute free variables. See Note [FV naming conventions] in GHC.Utils.FV.

Eta-expanded because that makes it run faster (apparently) See Note [FV eta expansion] in GHC.Utils.FV for explanation.

tyCoFVsOfTypes :: [Type] -> FV Source #

tyCoVarsOfTypeDSet :: Type -> DTyCoVarSet Source #

`tyCoFVsOfType` that returns free variables of a type in a deterministic set. For explanation of why using `VarSet` is not deterministic see Note [Deterministic FV] in GHC.Utils.FV.

tyCoVarsOfTypesDSet :: [Type] -> DTyCoVarSet Source #

Returns free variables of types, including kind variables as a deterministic set. For type synonyms it does not expand the synonym.

closeOverKindsDSet :: DTyVarSet -> DTyVarSet Source #

Add the kind variables free in the kinds of the tyvars in the given set. Returns a deterministic set.

tyCoVarsOfTypeList :: Type -> [TyCoVar] Source #

`tyCoFVsOfType` that returns free variables of a type in deterministic order. For explanation of why using `VarSet` is not deterministic see Note [Deterministic FV] in GHC.Utils.FV.

tyCoVarsOfTypesList :: [Type] -> [TyCoVar] Source #

Returns free variables of types, including kind variables as a deterministically ordered list. For type synonyms it does not expand the synonym.

noFreeVarsOfType :: Type -> Bool Source #

pprKind :: Kind -> SDoc Source #

pprParendKind :: Kind -> SDoc Source #

pprSigmaType :: Type -> SDoc Source #

pprType :: Type -> SDoc Source #

pprParendType :: Type -> SDoc Source #

pprTypeApp :: TyCon -> [Type] -> SDoc Source #

pprTheta :: ThetaType -> SDoc Source #

pprParendTheta :: ThetaType -> SDoc Source #

pprThetaArrowTy :: ThetaType -> SDoc Source #

pprClassPred :: Class -> [Type] -> SDoc Source #

pprTCvBndr :: ForAllTyBinder -> SDoc Source #

pprTCvBndrs :: [ForAllTyBinder] -> SDoc Source #

tyConVisibilities :: TyCon -> [Bool] Source #

For every arg a tycon can take, the returned list says True if the argument is taken visibly, and False otherwise. Ends with an infinite tail of Trues to allow for oversaturation.

isNextTyConArgVisible :: TyCon -> [Type] -> Bool Source #

If the tycon is applied to the types, is the next argument visible?

isNextArgVisible :: TcType -> Bool Source #

Should this type be applied to a visible argument? E.g. (s t): is `t` a visible argument of `s`?