Type

ghc-8.2.2: The GHC API

Safe Haskell | None
Language | Haskell2010

Type

Contents

- Main data types representing Types
  - Constructing and deconstructing types
  - Binders
  - Common type constructors
  - Predicates on types
- Main data types representing Kinds
  - Finding the kind of a type
  - Common Kind
- Type free variables
- Well-scoped lists of variables
- Type comparison
- Forcing evaluation of types
- Other views onto Types
- Main type substitution data types
  - Manipulating type substitutions
  - Performing substitution on types and kinds
- Pretty-printing
- Tidying type related things up for printing

Description

Main functions for manipulating types and type-related things

Synopsis

- data TyThing
  - = AnId Id
  - | AConLike ConLike
  - | ATyCon TyCon
  - | ACoAxiom (CoAxiom Branched)
- data Type
- data ArgFlag
  - = Required
  - | Specified
  - | Inferred
- type KindOrType = Type
- type PredType = Type
- type ThetaType = [PredType]
- data Var
- type TyVar = Var
- isTyVar :: Var -> Bool
- type TyCoVar = Id
- data TyBinder
- type TyVarBinder = TyVarBndr TyVar ArgFlag
- mkTyVarTy :: TyVar -> Type
- mkTyVarTys :: [TyVar] -> [Type]
- getTyVar :: String -> Type -> TyVar
- getTyVar_maybe :: Type -> Maybe TyVar
- repGetTyVar_maybe :: Type -> Maybe TyVar
- getCastedTyVar_maybe :: Type -> Maybe (TyVar, Coercion)
- tyVarKind :: TyVar -> Kind
- mkAppTy :: Type -> Type -> Type
- mkAppTys :: Type -> [Type] -> Type
- splitAppTy :: Type -> (Type, Type)
- splitAppTys :: Type -> (Type, [Type])
- repSplitAppTys :: Type -> (Type, [Type])
- splitAppTy_maybe :: Type -> Maybe (Type, Type)
- repSplitAppTy_maybe :: Type -> Maybe (Type, Type)
- tcRepSplitAppTy_maybe :: Type -> Maybe (Type, Type)
- mkFunTy :: Type -> Type -> Type
- mkFunTys :: [Type] -> Type -> Type
- splitFunTy :: Type -> (Type, Type)
- splitFunTy_maybe :: Type -> Maybe (Type, Type)
- splitFunTys :: Type -> ([Type], Type)
- funResultTy :: Type -> Type
- funArgTy :: Type -> Type
- mkTyConApp :: TyCon -> [Type] -> Type
- mkTyConTy :: TyCon -> Type
- tyConAppTyCon_maybe :: Type -> Maybe TyCon
- tyConAppTyConPicky_maybe :: Type -> Maybe TyCon
- tyConAppArgs_maybe :: Type -> Maybe [Type]
- tyConAppTyCon :: Type -> TyCon
- tyConAppArgs :: Type -> [Type]
- splitTyConApp_maybe :: HasDebugCallStack => Type -> Maybe (TyCon, [Type])
- splitTyConApp :: Type -> (TyCon, [Type])
- tyConAppArgN :: Int -> Type -> Type
- nextRole :: Type -> Role
- tcRepSplitTyConApp_maybe :: HasCallStack => Type -> Maybe (TyCon, [Type])
- tcSplitTyConApp_maybe :: HasCallStack => Type -> Maybe (TyCon, [Type])
- splitListTyConApp_maybe :: Type -> Maybe Type
- repSplitTyConApp_maybe :: HasDebugCallStack => Type -> Maybe (TyCon, [Type])
- mkForAllTy :: TyVar -> ArgFlag -> Type -> Type
- mkForAllTys :: [TyVarBinder] -> Type -> Type
- mkInvForAllTys :: [TyVar] -> Type -> Type
- mkSpecForAllTys :: [TyVar] -> Type -> Type
- mkVisForAllTys :: [TyVar] -> Type -> Type
- mkInvForAllTy :: TyVar -> Type -> Type
- splitForAllTys :: Type -> ([TyVar], Type)
- splitForAllTyVarBndrs :: Type -> ([TyVarBinder], Type)
- splitForAllTy_maybe :: Type -> Maybe (TyVar, Type)
- splitForAllTy :: Type -> (TyVar, Type)
- splitPiTy_maybe :: Type -> Maybe (TyBinder, Type)
- splitPiTy :: Type -> (TyBinder, Type)
- splitPiTys :: Type -> ([TyBinder], Type)
- mkPiTy :: TyBinder -> Type -> Type
- mkPiTys :: [TyBinder] -> Type -> Type
- mkTyConBindersPreferAnon :: [TyVar] -> Type -> [TyConBinder]
- mkLamType :: Var -> Type -> Type
- mkLamTypes :: [Var] -> Type -> Type
- piResultTy :: Type -> Type -> Type
- piResultTys :: Type -> [Type] -> Type
- applyTysX :: [TyVar] -> Type -> [Type] -> Type
- dropForAlls :: Type -> Type
- mkNumLitTy :: Integer -> Type
- isNumLitTy :: Type -> Maybe Integer
- mkStrLitTy :: FastString -> Type
- isStrLitTy :: Type -> Maybe FastString
- getRuntimeRep_maybe :: HasDebugCallStack => Type -> Maybe Type
- getRuntimeRepFromKind_maybe :: HasDebugCallStack => Type -> Maybe Type
- mkCastTy :: Type -> Coercion -> Type
- mkCoercionTy :: Coercion -> Type
- splitCastTy_maybe :: Type -> Maybe (Type, Coercion)
- userTypeError_maybe :: Type -> Maybe Type
- pprUserTypeErrorTy :: Type -> SDoc
- coAxNthLHS :: CoAxiom br -> Int -> Type
- stripCoercionTy :: Type -> Coercion
- splitCoercionType_maybe :: Type -> Maybe (Type, Type)
- splitPiTysInvisible :: Type -> ([TyBinder], Type)
- filterOutInvisibleTypes :: TyCon -> [Type] -> [Type]
- filterOutInvisibleTyVars :: TyCon -> [TyVar] -> [TyVar]
- partitionInvisibles :: TyCon -> (a -> Type) -> [a] -> ([a], [a])
- synTyConResKind :: TyCon -> Kind
- modifyJoinResTy :: Int -> (Type -> Type) -> Type -> Type
- setJoinResTy :: Int -> Type -> Type -> Type
- data TyCoMapper env m = TyCoMapper {
  - tcm_smart :: Bool
  - tcm_tyvar :: env -> TyVar -> m Type
  - tcm_covar :: env -> CoVar -> m Coercion
  - tcm_hole :: env -> CoercionHole -> Role -> Type -> Type -> m Coercion
  - tcm_tybinder :: env -> TyVar -> ArgFlag -> m (env, TyVar)
  }
- mapType :: Monad m => TyCoMapper env m -> env -> Type -> m Type
- mapCoercion :: Monad m => TyCoMapper env m -> env -> Coercion -> m Coercion
- newTyConInstRhs :: TyCon -> [Type] -> Type
- mkFamilyTyConApp :: TyCon -> [Type] -> Type
- isDictLikeTy :: Type -> Bool
- mkPrimEqPred :: Type -> Type -> Type
- mkReprPrimEqPred :: Type -> Type -> Type
- mkPrimEqPredRole :: Role -> Type -> Type -> PredType
- equalityTyCon :: Role -> TyCon
- mkHeteroPrimEqPred :: Kind -> Kind -> Type -> Type -> Type
- mkHeteroReprPrimEqPred :: Kind -> Kind -> Type -> Type -> Type
- mkClassPred :: Class -> [Type] -> PredType
- isClassPred :: PredType -> Bool
- isEqPred :: PredType -> Bool
- isNomEqPred :: PredType -> Bool
- isIPPred :: PredType -> Bool
- isIPPred_maybe :: Type -> Maybe (FastString, Type)
- isIPTyCon :: TyCon -> Bool
- isIPClass :: Class -> Bool
- isCTupleClass :: Class -> Bool
- data PredTree
  - = ClassPred Class [Type]
  - | EqPred EqRel Type Type
  - | IrredPred PredType
- data EqRel
  - = NomEq
  - | ReprEq
- eqRelRole :: EqRel -> Role
- classifyPredType :: PredType -> PredTree
- getClassPredTys :: PredType -> (Class, [Type])
- getClassPredTys_maybe :: PredType -> Maybe (Class, [Type])
- getEqPredTys :: PredType -> (Type, Type)
- getEqPredTys_maybe :: PredType -> Maybe (Role, Type, Type)
- getEqPredRole :: PredType -> Role
- predTypeEqRel :: PredType -> EqRel
- sameVis :: ArgFlag -> ArgFlag -> Bool
- mkTyVarBinder :: ArgFlag -> Var -> TyVarBinder
- mkTyVarBinders :: ArgFlag -> [TyVar] -> [TyVarBinder]
- mkAnonBinder :: Type -> TyBinder
- isAnonTyBinder :: TyBinder -> Bool
- isNamedTyBinder :: TyBinder -> Bool
- binderVar :: TyVarBndr tv argf -> tv
- binderVars :: [TyVarBndr tv argf] -> [tv]
- binderKind :: TyVarBndr TyVar argf -> Kind
- binderArgFlag :: TyVarBndr tv argf -> argf
- tyBinderType :: TyBinder -> Type
- binderRelevantType_maybe :: TyBinder -> Maybe Type
- caseBinder :: TyBinder -> (TyVarBinder -> a) -> (Type -> a) -> a
- isVisibleArgFlag :: ArgFlag -> Bool
- isInvisibleArgFlag :: ArgFlag -> Bool
- isVisibleBinder :: TyBinder -> Bool
- isInvisibleBinder :: TyBinder -> Bool
- tyConBindersTyBinders :: [TyConBinder] -> [TyBinder]
- mkTyBinderTyConBinder :: TyBinder -> SrcSpan -> Unique -> OccName -> TyConBinder
- funTyCon :: TyCon
- isTyVarTy :: Type -> Bool
- isFunTy :: Type -> Bool
- isDictTy :: Type -> Bool
- isPredTy :: Type -> Bool
- isCoercionTy :: Type -> Bool
- isCoercionTy_maybe :: Type -> Maybe Coercion
- isCoercionType :: Type -> Bool
- isForAllTy :: Type -> Bool
- isPiTy :: Type -> Bool
- isTauTy :: Type -> Bool
- isFamFreeTy :: Type -> Bool
- isValidJoinPointType :: JoinArity -> Type -> Bool
- isLiftedType_maybe :: HasDebugCallStack => Type -> Maybe Bool
- isUnliftedType :: HasDebugCallStack => Type -> Bool
- isUnboxedTupleType :: Type -> Bool
- isUnboxedSumType :: Type -> Bool
- isAlgType :: Type -> Bool
- isClosedAlgType :: Type -> Bool
- isDataFamilyAppType :: Type -> Bool
- isPrimitiveType :: Type -> Bool
- isStrictType :: HasDebugCallStack => Type -> Bool
- isRuntimeRepTy :: Type -> Bool
- isRuntimeRepVar :: TyVar -> Bool
- isRuntimeRepKindedTy :: Type -> Bool
- dropRuntimeRepArgs :: [Type] -> [Type]
- getRuntimeRep :: HasDebugCallStack => Type -> Type
- getRuntimeRepFromKind :: HasDebugCallStack => Type -> Type
- type Kind = Type
- typeKind :: Type -> Kind
- isTypeLevPoly :: Type -> Bool
- resultIsLevPoly :: Type -> Bool
- liftedTypeKind :: Kind
- tyCoFVsOfType :: Type -> FV
- tyCoFVsBndr :: TyVarBinder -> FV -> FV
- tyCoVarsOfType :: Type -> TyCoVarSet
- tyCoVarsOfTypes :: [Type] -> TyCoVarSet
- tyCoVarsOfTypeDSet :: Type -> DTyCoVarSet
- coVarsOfType :: Type -> CoVarSet
- coVarsOfTypes :: [Type] -> TyCoVarSet
- closeOverKinds :: TyVarSet -> TyVarSet
- closeOverKindsList :: [TyVar] -> [TyVar]
- noFreeVarsOfType :: Type -> Bool
- splitVisVarsOfType :: Type -> Pair TyCoVarSet
- splitVisVarsOfTypes :: [Type] -> Pair TyCoVarSet
- expandTypeSynonyms :: Type -> Type
- typeSize :: Type -> Int
- dVarSetElemsWellScoped :: DVarSet -> [Var]
- toposortTyVars :: [TyVar] -> [TyVar]
- tyCoVarsOfTypeWellScoped :: Type -> [TyVar]
- tyCoVarsOfTypesWellScoped :: [Type] -> [TyVar]
- eqType :: Type -> Type -> Bool
- eqTypeX :: RnEnv2 -> Type -> Type -> Bool
- eqTypes :: [Type] -> [Type] -> Bool
- nonDetCmpType :: Type -> Type -> Ordering
- nonDetCmpTypes :: [Type] -> [Type] -> Ordering
- nonDetCmpTypeX :: RnEnv2 -> Type -> Type -> Ordering
- nonDetCmpTypesX :: RnEnv2 -> [Type] -> [Type] -> Ordering
- nonDetCmpTc :: TyCon -> TyCon -> Ordering
- eqVarBndrs :: RnEnv2 -> [Var] -> [Var] -> Maybe RnEnv2
- seqType :: Type -> ()
- seqTypes :: [Type] -> ()
- coreView :: Type -> Maybe Type
- tcView :: Type -> Maybe Type
- tyConsOfType :: Type -> UniqSet TyCon
- type TvSubstEnv = TyVarEnv Type
- data TCvSubst = TCvSubst InScopeSet TvSubstEnv CvSubstEnv
- emptyTvSubstEnv :: TvSubstEnv
- emptyTCvSubst :: TCvSubst
- mkEmptyTCvSubst :: InScopeSet -> TCvSubst
- mkTCvSubst :: InScopeSet -> (TvSubstEnv, CvSubstEnv) -> TCvSubst
- zipTvSubst :: [TyVar] -> [Type] -> TCvSubst
- mkTvSubstPrs :: [(TyVar, Type)] -> TCvSubst
- notElemTCvSubst :: Var -> TCvSubst -> Bool
- getTvSubstEnv :: TCvSubst -> TvSubstEnv
- setTvSubstEnv :: TCvSubst -> TvSubstEnv -> TCvSubst
- zapTCvSubst :: TCvSubst -> TCvSubst
- getTCvInScope :: TCvSubst -> InScopeSet
- getTCvSubstRangeFVs :: TCvSubst -> VarSet
- extendTCvInScope :: TCvSubst -> Var -> TCvSubst
- extendTCvInScopeList :: TCvSubst -> [Var] -> TCvSubst
- extendTCvInScopeSet :: TCvSubst -> VarSet -> TCvSubst
- extendTCvSubst :: TCvSubst -> TyCoVar -> Type -> TCvSubst
- extendCvSubst :: TCvSubst -> CoVar -> Coercion -> TCvSubst
- extendTvSubst :: TCvSubst -> TyVar -> Type -> TCvSubst
- extendTvSubstBinder :: TCvSubst -> TyBinder -> Type -> TCvSubst
- extendTvSubstList :: TCvSubst -> [Var] -> [Type] -> TCvSubst
- extendTvSubstAndInScope :: TCvSubst -> TyVar -> Type -> TCvSubst
- extendTvSubstWithClone :: TCvSubst -> TyVar -> TyVar -> TCvSubst
- isInScope :: Var -> TCvSubst -> Bool
- composeTCvSubstEnv :: InScopeSet -> (TvSubstEnv, CvSubstEnv) -> (TvSubstEnv, CvSubstEnv) -> (TvSubstEnv, CvSubstEnv)
- composeTCvSubst :: TCvSubst -> TCvSubst -> TCvSubst
- zipTyEnv :: [TyVar] -> [Type] -> TvSubstEnv
- zipCoEnv :: [CoVar] -> [Coercion] -> CvSubstEnv
- isEmptyTCvSubst :: TCvSubst -> Bool
- unionTCvSubst :: TCvSubst -> TCvSubst -> TCvSubst
- substTy :: HasCallStack => TCvSubst -> Type -> Type
- substTys :: HasCallStack => TCvSubst -> [Type] -> [Type]
- substTyWith :: HasCallStack => [TyVar] -> [Type] -> Type -> Type
- substTysWith :: [TyVar] -> [Type] -> [Type] -> [Type]
- substTheta :: HasCallStack => TCvSubst -> ThetaType -> ThetaType
- substTyAddInScope :: TCvSubst -> Type -> Type
- substTyUnchecked :: TCvSubst -> Type -> Type
- substTysUnchecked :: TCvSubst -> [Type] -> [Type]
- substThetaUnchecked :: TCvSubst -> ThetaType -> ThetaType
- substTyWithUnchecked :: [TyVar] -> [Type] -> Type -> Type
- substCoUnchecked :: TCvSubst -> Coercion -> Coercion
- substCoWithUnchecked :: [TyVar] -> [Type] -> Coercion -> Coercion
- substTyWithInScope :: InScopeSet -> [TyVar] -> [Type] -> Type -> Type
- substTyVarBndr :: HasCallStack => TCvSubst -> TyVar -> (TCvSubst, TyVar)
- substTyVar :: TCvSubst -> TyVar -> Type
- substTyVars :: TCvSubst -> [TyVar] -> [Type]
- cloneTyVarBndr :: TCvSubst -> TyVar -> Unique -> (TCvSubst, TyVar)
- cloneTyVarBndrs :: TCvSubst -> [TyVar] -> UniqSupply -> (TCvSubst, [TyVar])
- lookupTyVar :: TCvSubst -> TyVar -> Maybe Type
- pprType :: Type -> SDoc
- pprParendType :: Type -> SDoc
- pprTypeApp :: TyCon -> [Type] -> SDoc
- pprTyThingCategory :: TyThing -> SDoc
- pprShortTyThing :: TyThing -> SDoc
- pprTvBndr :: TyVarBinder -> SDoc
- pprTvBndrs :: [TyVarBinder] -> SDoc
- pprForAll :: [TyVarBinder] -> SDoc
- pprUserForAll :: [TyVarBinder] -> SDoc
- pprSigmaType :: Type -> SDoc
- ppSuggestExplicitKinds :: SDoc
- pprTheta :: ThetaType -> SDoc
- pprThetaArrowTy :: ThetaType -> SDoc
- pprClassPred :: Class -> [Type] -> SDoc
- pprKind :: Kind -> SDoc
- pprParendKind :: Kind -> SDoc
- pprSourceTyCon :: TyCon -> SDoc
- data TyPrec
  - = TopPrec
  - | FunPrec
  - | TyOpPrec
  - | TyConPrec
- maybeParen :: TyPrec -> TyPrec -> SDoc -> SDoc
- pprTyVar :: TyVar -> SDoc
- pprTyVars :: [TyVar] -> SDoc
- pprPrefixApp :: TyPrec -> SDoc -> [SDoc] -> SDoc
- pprArrowChain :: TyPrec -> [SDoc] -> SDoc
- tidyType :: TidyEnv -> Type -> Type
- tidyTypes :: TidyEnv -> [Type] -> [Type]
- tidyOpenType :: TidyEnv -> Type -> (TidyEnv, Type)
- tidyOpenTypes :: TidyEnv -> [Type] -> (TidyEnv, [Type])
- tidyOpenKind :: TidyEnv -> Kind -> (TidyEnv, Kind)
- tidyTyCoVarBndr :: TidyEnv -> TyCoVar -> (TidyEnv, TyCoVar)
- tidyTyCoVarBndrs :: TidyEnv -> [TyCoVar] -> (TidyEnv, [TyCoVar])
- tidyFreeTyCoVars :: TidyEnv -> [TyCoVar] -> TidyEnv
- tidyOpenTyCoVar :: TidyEnv -> TyCoVar -> (TidyEnv, TyCoVar)
- tidyOpenTyCoVars :: TidyEnv -> [TyCoVar] -> (TidyEnv, [TyCoVar])
- tidyTyVarOcc :: TidyEnv -> TyVar -> TyVar
- tidyTopType :: Type -> Type
- tidyKind :: TidyEnv -> Kind -> Kind
- tidyTyVarBinder :: TidyEnv -> TyVarBndr TyVar vis -> (TidyEnv, TyVarBndr TyVar vis)
- tidyTyVarBinders :: TidyEnv -> [TyVarBndr TyVar vis] -> (TidyEnv, [TyVarBndr TyVar vis])

# Main data types representing Types

Types are one of:

Unboxed
  Iff its representation is other than a pointer Unboxed types are also unlifted.
Lifted
  Iff it has bottom as an element. Closures always have lifted types: i.e. any let-bound identifier in Core must have a lifted type. Operationally, a lifted object is one that can be entered. Only lifted types may be unified with a type variable.
Algebraic
  Iff it is a type with one or more constructors, whether declared with `data` or `newtype`. An algebraic type is one that can be deconstructed with a case expression. This is not the same as lifted types, because we also include unboxed tuples in this classification.
Data
  Iff it is a type declared with `data`, or a boxed tuple.
Primitive
  Iff it is a built-in type that can't be expressed in Haskell.

Currently, all primitive types are unlifted, but that's not necessarily the case: for example, `Int` could be primitive.

Some primitive types are unboxed, such as `Int#`, whereas some are boxed but unlifted (such as `ByteArray#`). The only primitive types that we classify as algebraic are the unboxed tuples.

Some examples of type classifications that may make this a bit clearer are:

    Type          primitive       boxed           lifted          algebraic
    -----------------------------------------------------------------------------
    Int#          Yes             No              No              No
    ByteArray#    Yes             Yes             No              No
    (# a, b #)  Yes             No              No              Yes
    (# a | b #) Yes             No              No              Yes
    (  a, b  )    No              Yes             Yes             Yes
    [a]           No              Yes             Yes             Yes

A source type is a type that is a separate type as far as the type checker is concerned, but which has a more low-level representation as far as Core-to-Core passes and the rest of the back end is concerned.

You don't normally have to worry about this, as the utility functions in this module will automatically convert a source into a representation type if they are spotted, to the best of it's abilities. If you don't want this to happen, use the equivalent functions from the TcType module.

data TyThing Source #

A global typecheckable-thing, essentially anything that has a name. Not to be confused with a `TcTyThing`, which is also a typecheckable thing but in the *local* context. See `TcEnv` for how to retrieve a `TyThing` given a `Name`.

Constructors

AnId Id |
AConLike ConLike |
ATyCon TyCon |
ACoAxiom (CoAxiom Branched) |

Instances

Outputable TyThing # |
Methods ppr :: TyThing -> SDoc Source # pprPrec :: Rational -> TyThing -> SDoc Source #
NamedThing TyThing # |
Methods getOccName :: TyThing -> OccName Source # getName :: TyThing -> Name Source #

data Type Source #

Instances

Data Type # |
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 :: (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 # |
Methods ppr :: Type -> SDoc Source # pprPrec :: Rational -> Type -> SDoc Source #

data ArgFlag Source #

Argument Flag

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 [TyBinders and ArgFlags] in TyCoRep

Constructors

Required |
Specified |
Inferred |

Instances

Eq ArgFlag # |
Methods (==) :: ArgFlag -> ArgFlag -> Bool # (/=) :: ArgFlag -> ArgFlag -> Bool #
Data ArgFlag # |
Methods gfoldl :: (forall d b. Data d => c (d -> b) -> d -> c b) -> (forall g. g -> c g) -> ArgFlag -> c ArgFlag Source # gunfold :: (forall b r. Data b => c (b -> r) -> c r) -> (forall r. r -> c r) -> Constr -> c ArgFlag Source # toConstr :: ArgFlag -> Constr Source # dataTypeOf :: ArgFlag -> DataType Source # dataCast1 :: Typeable (* -> *) t => (forall d. Data d => c (t d)) -> Maybe (c ArgFlag) Source # dataCast2 :: Typeable (* -> * -> *) t => (forall d e. (Data d, Data e) => c (t d e)) -> Maybe (c ArgFlag) Source # gmapT :: (forall b. Data b => b -> b) -> ArgFlag -> ArgFlag Source # gmapQl :: (r -> r' -> r) -> r -> (forall d. Data d => d -> r') -> ArgFlag -> r Source # gmapQr :: (r' -> r -> r) -> r -> (forall d. Data d => d -> r') -> ArgFlag -> r Source # gmapQ :: (forall d. Data d => d -> u) -> ArgFlag -> [u] Source # gmapQi :: Int -> (forall d. Data d => d -> u) -> ArgFlag -> u Source # gmapM :: Monad m => (forall d. Data d => d -> m d) -> ArgFlag -> m ArgFlag Source # gmapMp :: MonadPlus m => (forall d. Data d => d -> m d) -> ArgFlag -> m ArgFlag Source # gmapMo :: MonadPlus m => (forall d. Data d => d -> m d) -> ArgFlag -> m ArgFlag Source #
Outputable ArgFlag # |
Methods ppr :: ArgFlag -> SDoc Source # pprPrec :: Rational -> ArgFlag -> SDoc Source #
Binary ArgFlag # |
Methods put_ :: BinHandle -> ArgFlag -> IO () Source # put :: BinHandle -> ArgFlag -> IO (Bin * ArgFlag) Source # get :: BinHandle -> IO ArgFlag Source #
Outputable tv => Outputable (TyVarBndr tv ArgFlag) # |
Methods ppr :: TyVarBndr tv ArgFlag -> SDoc Source # pprPrec :: Rational -> TyVarBndr tv ArgFlag -> SDoc Source #

type KindOrType = Type Source #

The key representation of types within the compiler

type PredType = Type Source #

A type of the form `p` of kind `Constraint` 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 Var Source #

Variable

Essentially a typed `Name`, that may also contain some additional information about the `Var` and it's use sites.

Instances

Eq Var # |
Methods (==) :: Var -> Var -> Bool # (/=) :: Var -> Var -> Bool #
Data Var # |
Methods gfoldl :: (forall d b. Data d => c (d -> b) -> d -> c b) -> (forall g. g -> c g) -> Var -> c Var Source # gunfold :: (forall b r. Data b => c (b -> r) -> c r) -> (forall r. r -> c r) -> Constr -> c Var Source # toConstr :: Var -> Constr Source # dataTypeOf :: Var -> DataType Source # dataCast1 :: Typeable (* -> *) t => (forall d. Data d => c (t d)) -> Maybe (c Var) Source # dataCast2 :: Typeable (* -> * -> *) t => (forall d e. (Data d, Data e) => c (t d e)) -> Maybe (c Var) Source # gmapT :: (forall b. Data b => b -> b) -> Var -> Var Source # gmapQl :: (r -> r' -> r) -> r -> (forall d. Data d => d -> r') -> Var -> r Source # gmapQr :: (r' -> r -> r) -> r -> (forall d. Data d => d -> r') -> Var -> r Source # gmapQ :: (forall d. Data d => d -> u) -> Var -> [u] Source # gmapQi :: Int -> (forall d. Data d => d -> u) -> Var -> u Source # gmapM :: Monad m => (forall d. Data d => d -> m d) -> Var -> m Var Source # gmapMp :: MonadPlus m => (forall d. Data d => d -> m d) -> Var -> m Var Source # gmapMo :: MonadPlus m => (forall d. Data d => d -> m d) -> Var -> m Var Source #
Ord Var # |
Methods compare :: Var -> Var -> Ordering # (<) :: Var -> Var -> Bool # (<=) :: Var -> Var -> Bool # (>) :: Var -> Var -> Bool # (>=) :: Var -> Var -> Bool # max :: Var -> Var -> Var # min :: Var -> Var -> Var #
Outputable Var # |
Methods ppr :: Var -> SDoc Source # pprPrec :: Rational -> Var -> SDoc Source #
Uniquable Var # |
Methods getUnique :: Var -> Unique Source #
HasOccName Var # |
Methods occName :: Var -> OccName Source #
NamedThing Var # |
Methods getOccName :: Var -> OccName Source # getName :: Var -> Name Source #
type PostRn Id ty # |
type PostRn Id ty = ty
type PostTc Id ty # |
type PostTc Id ty = ty

type TyVar = Var Source #

Type or kind Variable

isTyVar :: Var -> Bool Source #

type TyCoVar = Id Source #

Type or Coercion Variable

data TyBinder Source #

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

Instances

Data TyBinder # |
Methods gfoldl :: (forall d b. Data d => c (d -> b) -> d -> c b) -> (forall g. g -> c g) -> TyBinder -> c TyBinder Source # gunfold :: (forall b r. Data b => c (b -> r) -> c r) -> (forall r. r -> c r) -> Constr -> c TyBinder Source # toConstr :: TyBinder -> Constr Source # dataTypeOf :: TyBinder -> DataType Source # dataCast1 :: Typeable (* -> *) t => (forall d. Data d => c (t d)) -> Maybe (c TyBinder) Source # dataCast2 :: Typeable (* -> * -> *) t => (forall d e. (Data d, Data e) => c (t d e)) -> Maybe (c TyBinder) Source # gmapT :: (forall b. Data b => b -> b) -> TyBinder -> TyBinder Source # gmapQl :: (r -> r' -> r) -> r -> (forall d. Data d => d -> r') -> TyBinder -> r Source # gmapQr :: (r' -> r -> r) -> r -> (forall d. Data d => d -> r') -> TyBinder -> r Source # gmapQ :: (forall d. Data d => d -> u) -> TyBinder -> [u] Source # gmapQi :: Int -> (forall d. Data d => d -> u) -> TyBinder -> u Source # gmapM :: Monad m => (forall d. Data d => d -> m d) -> TyBinder -> m TyBinder Source # gmapMp :: MonadPlus m => (forall d. Data d => d -> m d) -> TyBinder -> m TyBinder Source # gmapMo :: MonadPlus m => (forall d. Data d => d -> m d) -> TyBinder -> m TyBinder Source #
Outputable TyBinder # |
Methods ppr :: TyBinder -> SDoc Source # pprPrec :: Rational -> TyBinder -> SDoc Source #

type TyVarBinder = TyVarBndr TyVar ArgFlag Source #

Type Variable Binder

A `TyVarBinder` is the binder of a ForAllTy It's convenient to define this synonym here rather its natural home in TyCoRep, because it's used in DataCon.hs-boot

## Constructing and deconstructing types

mkTyVarTy :: TyVar -> Type Source #

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

getTyVar :: String -> 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`

repGetTyVar_maybe :: Type -> Maybe TyVar Source #

Attempts to obtain the type variable underlying a `Type`, without any expansion

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

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

tyVarKind :: TyVar -> Kind Source #

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

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

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

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

Attempts to take a type application apart, as in `splitAppTy_maybe`, and panics if this is not possible

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

Recursively splits a type as far as is possible, leaving a residual type being applied to and the type arguments applied to it. Never fails, even if that means returning an empty list of type applications.

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

Like `splitAppTys`, but doesn't look through type synonyms

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

Attempt to take a type application apart, whether it is a function, type constructor, or plain type application. Note that type family applications are NEVER unsaturated by this!

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

Does the AppTy split as in `splitAppTy_maybe`, but assumes that any Core view stuff is already done

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

Does the AppTy split as in `tcSplitAppTy_maybe`, but assumes that any coreView stuff is already done. Refuses to look through (c => t)

mkFunTy :: Type -> Type -> Type infixr 3 Source #

Make an arrow type

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

Make nested arrow types

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

Attempts to extract the argument and result types from a type, and panics if that is not possible. See also `splitFunTy_maybe`

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

Attempts to extract the argument and result types from a type

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

funResultTy :: Type -> Type Source #

Extract the function result type and panic if that is not possible

funArgTy :: Type -> Type Source #

Extract the function argument type and panic if that is not possible

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.

mkTyConTy :: TyCon -> Type Source #

Create the plain type constructor type which has been applied to no type arguments at all.

tyConAppTyCon_maybe :: Type -> Maybe TyCon Source #

The same as `fst . splitTyConApp`

tyConAppTyConPicky_maybe :: Type -> Maybe TyCon Source #

Retrieve the tycon heading this type, if there is one. Does not look through synonyms.

tyConAppArgs_maybe :: Type -> Maybe [Type] Source #

The same as `snd . splitTyConApp`

tyConAppTyCon :: Type -> TyCon Source #

tyConAppArgs :: Type -> [Type] Source #

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

Attempts to tease a type apart into a type constructor and the application of a number of arguments to that constructor

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

Attempts to tease a type apart into a type constructor and the application of a number of arguments to that constructor. Panics if that is not possible. See also `splitTyConApp_maybe`

tyConAppArgN :: Int -> Type -> Type Source #

nextRole :: Type -> Role Source #

What is the role assigned to the next parameter of this type? Usually, this will be `Nominal`, but if the type is a `TyConApp`, we may be able to do better. The type does *not* have to be well-kinded when applied for this to work!

tcRepSplitTyConApp_maybe :: HasCallStack => Type -> Maybe (TyCon, [Type]) Source #

Like `tcSplitTyConApp_maybe` but doesn't look through type synonyms.

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

Split a type constructor application into its type constructor and applied types. Note that this may fail 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`). Consequently, you may need to zonk your type before using this function.

If you only need the `TyCon`, consider using `tcTyConAppTyCon_maybe`.

splitListTyConApp_maybe :: Type -> Maybe Type Source #

Attempts to tease a list type apart and gives the type of the elements if successful (looks through type synonyms)

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

Like `splitTyConApp_maybe`, but doesn't look through synonyms. This assumes the synonyms have already been dealt with.

mkForAllTy :: TyVar -> ArgFlag -> Type -> Type Source #

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

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

mkInvForAllTys :: [TyVar] -> 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

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

Like mkForAllTys, but assumes all variables are dependent and visible

mkInvForAllTy :: TyVar -> Type -> Type Source #

Make a dependent forall over an Inferred (as opposed to Specified) variable

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

Take a ForAllTy apart, returning the list of tyvars and the result type. This always succeeds, even if it returns only an empty list. Note that the result type returned may have free variables that were bound by a forall.

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

Like `splitPiTys` but split off only named binders.

splitForAllTy_maybe :: Type -> Maybe (TyVar, Type) Source #

Attempts to take a forall type apart, but only if it's a proper forall, with a named binder

splitForAllTy :: Type -> (TyVar, Type) Source #

Take a forall type apart, or panics if that is not possible.

splitPiTy_maybe :: Type -> Maybe (TyBinder, Type) Source #

Attempts to take a forall type apart; works with proper foralls and functions

splitPiTy :: Type -> (TyBinder, Type) Source #

Takes a forall type apart, or panics

splitPiTys :: Type -> ([TyBinder], Type) Source #

Split off all TyBinders to a type, splitting both proper foralls and functions

mkPiTy :: TyBinder -> Type -> Type Source #

mkPiTys :: [TyBinder] -> Type -> Type Source #

mkTyConBindersPreferAnon :: [TyVar] -> Type -> [TyConBinder] Source #

Given a list of type-level vars and a result type, makes TyBinders, preferring anonymous binders if the variable is, in fact, not dependent. All binders are visible.

mkLamType :: Var -> Type -> Type Source #

Makes a `(->)` type or an implicit forall type, depending on whether it is given a type variable or a term variable. This is used, for example, when producing the type of a lambda. Always uses Inferred binders.

mkLamTypes :: [Var] -> Type -> Type Source #

`mkLamType` for multiple type or value arguments

piResultTy :: Type -> Type -> Type Source #

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

(piResultTys f_ty [ty1, .., tyn]) gives the type of (f ty1 .. tyn) where f :: f_ty `piResultTys` is interesting because: 1. `f_ty` may have more for-alls than there are args 2. Less obviously, it may have fewer for-alls For case 2. think of: piResultTys (forall a.a) [forall b.b, Int] This really can happen, but only (I think) in situations involving undefined. For example: undefined :: forall a. a Term: undefined `(forall b. b->b)` Int This term should have type (Int -> Int), but notice that there are more type args than foralls in `undefined`s type.

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

dropForAlls :: Type -> Type Source #

Drops all ForAllTys

mkNumLitTy :: Integer -> Type Source #

isNumLitTy :: Type -> Maybe Integer Source #

Is this a numeric literal. We also look through type synonyms.

mkStrLitTy :: FastString -> Type Source #

isStrLitTy :: Type -> Maybe FastString Source #

Is this a symbol literal. We also look through type synonyms.

getRuntimeRep_maybe :: HasDebugCallStack => Type -> Maybe Type Source #

Extract the RuntimeRep classifier of a type. For instance, `getRuntimeRep_maybe Int = LiftedRep`. Returns `Nothing` if this is not possible.

getRuntimeRepFromKind_maybe :: HasDebugCallStack => Type -> Maybe Type Source #

Extract the RuntimeRep classifier of a type from its kind. For example, `getRuntimeRepFromKind * = LiftedRep`; Returns `Nothing` if this is not possible.

mkCastTy :: Type -> Coercion -> Type Source #

Make a `CastTy`. The Coercion must be nominal. Checks the Coercion for reflexivity, dropping it if it's reflexive. See Note [No reflexive casts in types]

mkCoercionTy :: Coercion -> Type Source #

splitCastTy_maybe :: Type -> Maybe (Type, Coercion) Source #

userTypeError_maybe :: Type -> Maybe Type Source #

Is this type a custom user error? If so, give us the kind and the error message.

pprUserTypeErrorTy :: Type -> SDoc Source #

Render a type corresponding to a user type error into a SDoc.

coAxNthLHS :: CoAxiom br -> Int -> Type Source #

Get the type on the LHS of a coercion induced by a type/data family instance.

stripCoercionTy :: Type -> Coercion Source #

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

Try to split up a coercion type into the types that it coerces

splitPiTysInvisible :: Type -> ([TyBinder], Type) Source #

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

Given a tycon and its arguments, filters out any invisible arguments

filterOutInvisibleTyVars :: TyCon -> [TyVar] -> [TyVar] Source #

Like `filterOutInvisibles`, but works on `TyVar`s

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

Given a tycon and a list of things (which correspond to arguments), partitions the things into Inferred or Specified ones and Required ones The callback function is necessary for this scenario:

    T :: forall k. k -> k
    partitionInvisibles T [forall m. m -> m -> m, S, R, Q]

After substituting, we get

    T (forall m. m -> m -> m) :: (forall m. m -> m -> m) -> forall n. n -> n -> n

Thus, the first argument is invisible, `S` is visible, `R` is invisible again, and `Q` is visible.

If you're absolutely sure that your tycon's kind doesn't end in a variable, it's OK if the callback function panics, as that's the only time it's consulted.

synTyConResKind :: TyCon -> Kind Source #

Find the result `Kind` of a type synonym, after applying it to its `arity` number of type variables Actually this function works fine on data types too, but they'd always return `*`, so we never need to ask

modifyJoinResTy :: Int -> (Type -> Type) -> Type -> Type Source #

setJoinResTy :: Int -> Type -> Type -> Type Source #

data TyCoMapper env m Source #

This describes how a "map" operation over a type/coercion should behave

Constructors

TyCoMapper |
Fields tcm_smart :: Bool Should the new type be created with smart constructors? tcm_tyvar :: env -> TyVar -> m Type tcm_covar :: env -> CoVar -> m Coercion tcm_hole :: env -> CoercionHole -> Role -> Type -> Type -> m Coercion What to do with coercion holes. See Note [Coercion holes] in TyCoRep. tcm_tybinder :: env -> TyVar -> ArgFlag -> m (env, TyVar) The returned env is used in the extended scope

mapType :: Monad m => TyCoMapper env m -> env -> Type -> m Type Source #

mapCoercion :: Monad m => TyCoMapper env m -> env -> Coercion -> m Coercion Source #

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

Unwrap one `layer` of newtype on a type constructor and its arguments, using an eta-reduced version of the `newtype` if possible. This requires tys to have at least `newTyConInstArity tycon` elements.

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

Given a family instance TyCon and its arg types, return the corresponding family type. E.g:

    data family T a
    data instance T (Maybe b) = MkT b

Where the instance tycon is :RTL, so:

    mkFamilyTyConApp :RTL Int  =  T (Maybe Int)

isDictLikeTy :: Type -> Bool Source #

mkPrimEqPred :: Type -> Type -> Type Source #

Creates a primitive type equality predicate. Invariant: the types are not Coercions

mkReprPrimEqPred :: Type -> Type -> Type Source #

mkPrimEqPredRole :: Role -> Type -> Type -> PredType Source #

Makes a lifted equality predicate at the given role

equalityTyCon :: Role -> TyCon Source #

mkHeteroPrimEqPred :: Kind -> Kind -> Type -> Type -> Type Source #

Creates a primite type equality predicate with explicit kinds

mkHeteroReprPrimEqPred :: Kind -> Kind -> Type -> Type -> Type Source #

Creates a primitive representational type equality predicate with explicit kinds

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

isClassPred :: PredType -> Bool Source #

isEqPred :: PredType -> Bool Source #

isNomEqPred :: PredType -> Bool Source #

isIPPred :: PredType -> Bool Source #

isIPPred_maybe :: Type -> Maybe (FastString, Type) Source #

isIPTyCon :: TyCon -> Bool Source #

isIPClass :: Class -> Bool Source #

isCTupleClass :: Class -> Bool Source #

data PredTree Source #

Constructors

ClassPred Class [Type] |
EqPred EqRel Type Type |
IrredPred PredType |

data EqRel Source #

A choice of equality relation. This is separate from the type `Role` because `Phantom` does not define a (non-trivial) equality relation.

Constructors

NomEq |
ReprEq |

Instances

Eq EqRel # |
Methods (==) :: EqRel -> EqRel -> Bool # (/=) :: EqRel -> EqRel -> Bool #
Ord EqRel # |
Methods compare :: EqRel -> EqRel -> Ordering # (<) :: EqRel -> EqRel -> Bool # (<=) :: EqRel -> EqRel -> Bool # (>) :: EqRel -> EqRel -> Bool # (>=) :: EqRel -> EqRel -> Bool # max :: EqRel -> EqRel -> EqRel # min :: EqRel -> EqRel -> EqRel #
Outputable EqRel # |
Methods ppr :: EqRel -> SDoc Source # pprPrec :: Rational -> EqRel -> SDoc Source #

eqRelRole :: EqRel -> Role Source #

classifyPredType :: PredType -> PredTree Source #

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

getClassPredTys_maybe :: PredType -> Maybe (Class, [Type]) Source #

getEqPredTys :: PredType -> (Type, Type) Source #

getEqPredTys_maybe :: PredType -> Maybe (Role, Type, Type) Source #

getEqPredRole :: PredType -> Role Source #

predTypeEqRel :: PredType -> EqRel Source #

Get the equality relation relevant for a pred type.

## Binders

sameVis :: ArgFlag -> ArgFlag -> 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.

mkTyVarBinder :: ArgFlag -> Var -> TyVarBinder Source #

Make a named binder

mkTyVarBinders :: ArgFlag -> [TyVar] -> [TyVarBinder] Source #

Make many named binders

mkAnonBinder :: Type -> TyBinder Source #

Make an anonymous binder

isAnonTyBinder :: TyBinder -> Bool Source #

Does this binder bind a variable that is not erased? Returns `True` for anonymous binders.

isNamedTyBinder :: TyBinder -> Bool Source #

binderVar :: TyVarBndr tv argf -> tv Source #

binderVars :: [TyVarBndr tv argf] -> [tv] Source #

binderKind :: TyVarBndr TyVar argf -> Kind Source #

binderArgFlag :: TyVarBndr tv argf -> argf Source #

tyBinderType :: TyBinder -> Type Source #

binderRelevantType_maybe :: TyBinder -> Maybe Type Source #

Extract a relevant type, if there is one.

caseBinder Source #

Arguments

:: TyBinder | binder to scrutinize
-> (TyVarBinder -> a) | named case
-> (Type -> a) | anonymous case
-> a |

Like `maybe`, but for binders.

isVisibleArgFlag :: ArgFlag -> Bool Source #

Does this `ArgFlag` classify an argument that is written in Haskell?

isInvisibleArgFlag :: ArgFlag -> Bool Source #

Does this `ArgFlag` classify an argument that is not written in Haskell?

isVisibleBinder :: TyBinder -> Bool Source #

Does this binder bind a visible argument?

isInvisibleBinder :: TyBinder -> Bool Source #

Does this binder bind an invisible argument?

tyConBindersTyBinders :: [TyConBinder] -> [TyBinder] Source #

mkTyBinderTyConBinder :: TyBinder -> SrcSpan -> Unique -> OccName -> TyConBinder Source #

Manufacture a new `TyConBinder` from a `TyBinder`. Anonymous `TyBinder`s are still assigned names as `TyConBinder`s, so we need the extra gunk with which to construct a `Name`. Used when producing tyConTyVars from a datatype kind signature. Defined here to avoid module loops.

## Common type constructors

funTyCon :: TyCon Source #

The `(->)` type constructor.

    (->) :: forall (rep1 :: RuntimeRep) (rep2 :: RuntimeRep).
            TYPE rep1 -> TYPE rep2 -> *

## Predicates on types

isTyVarTy :: Type -> Bool Source #

isFunTy :: Type -> Bool Source #

isDictTy :: Type -> Bool Source #

isPredTy :: Type -> Bool Source #

Is the type suitable to classify a given/wanted in the typechecker?

isCoercionTy :: Type -> Bool Source #

isCoercionTy_maybe :: Type -> Maybe Coercion Source #

isCoercionType :: Type -> Bool Source #

Does this type classify a core (unlifted) Coercion? At either role nominal or representational (t1 ~ t2)

isForAllTy :: Type -> Bool Source #

Checks whether this is a proper forall (with a named binder)

isPiTy :: Type -> Bool Source #

Is this a function or forall?

isTauTy :: Type -> Bool Source #

isFamFreeTy :: Type -> Bool Source #

isValidJoinPointType :: JoinArity -> Type -> Bool Source #

Determine whether a type could be the type of a join point of given total arity, according to the polymorphism rule. A join point cannot be polymorphic in its return type, since given join j `a` b x y z = e1 in e2, the types of e1 and e2 must be the same, and a and b are not in scope for e2. (See Note [The polymorphism rule of join points] in CoreSyn.) Returns False also if the type simply doesn't have enough arguments.

Note that we need to know how many arguments (type *and* value) the putative join point takes; for instance, if j :: forall a. a -> Int then j could be a binary join point returning an Int, but it could *not* be a unary join point returning a -> Int.

TODO: See Note [Excess polymorphism and join points]

isLiftedType_maybe :: HasDebugCallStack => Type -> Maybe Bool Source #

Returns Just True if this type is surely lifted, Just False if it is surely unlifted, Nothing if we can't be sure (i.e., it is levity polymorphic), and panics if the kind does not have the shape TYPE r.

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

See Type for what an unlifted type is. Panics on levity polymorphic types.

isUnboxedTupleType :: Type -> Bool Source #

isUnboxedSumType :: Type -> Bool Source #

isAlgType :: Type -> Bool Source #

See Type for what an algebraic type is. Should only be applied to types, as opposed to e.g. partially saturated type constructors

isClosedAlgType :: Type -> Bool Source #

See Type for what an algebraic type is. Should only be applied to types, as opposed to e.g. partially saturated type constructors. Closed type constructors are those with a fixed right hand side, as opposed to e.g. associated types

isDataFamilyAppType :: Type -> Bool Source #

Check whether a type is a data family type

isPrimitiveType :: Type -> Bool Source #

Returns true of types that are opaque to Haskell.

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

Computes whether an argument (or let right hand side) should be computed strictly or lazily, based only on its type. Currently, it's just `isUnliftedType`. Panics on levity-polymorphic types.

isRuntimeRepTy :: Type -> Bool Source #

Is this the type `RuntimeRep`?

isRuntimeRepVar :: TyVar -> Bool Source #

Is a tyvar of type `RuntimeRep`?

isRuntimeRepKindedTy :: Type -> Bool Source #

Is this a type of kind RuntimeRep? (e.g. LiftedRep)

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

Drops prefix of RuntimeRep constructors in `TyConApp`s. Useful for e.g. dropping 'LiftedRep arguments of unboxed tuple TyCon applications:

dropRuntimeRepArgs [ 'LiftedRep, 'IntRep , String, Int]

getRuntimeRep :: HasDebugCallStack => Type -> Type Source #

Extract the RuntimeRep classifier of a type. For instance, `getRuntimeRep_maybe Int = LiftedRep`. Panics if this is not possible.

getRuntimeRepFromKind :: HasDebugCallStack => Type -> Type Source #

Extract the RuntimeRep classifier of a type from its kind. For example, `getRuntimeRepFromKind * = LiftedRep`; Panics if this is not possible.

# Main data types representing Kinds

type Kind = Type Source #

The key type representing kinds in the compiler.

## Finding the kind of a type

typeKind :: Type -> Kind Source #

isTypeLevPoly :: Type -> Bool Source #

Returns True if a type is levity polymorphic. Should be the same as (isKindLevPoly . typeKind) but much faster. Precondition: The type has kind (TYPE blah)

resultIsLevPoly :: Type -> Bool Source #

Looking past all pi-types, is the end result potentially levity polymorphic? Example: True for (forall r (a :: TYPE r). String -> a) Example: False for (forall r1 r2 (a :: TYPE r1) (b :: TYPE r2). a -> b -> Type)

## Common Kind

liftedTypeKind :: Kind Source #

# Type free variables

tyCoFVsOfType :: Type -> FV Source #

The worker for `tyVarsOfType` and `tyVarsOfTypeList`. 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 FV.

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

tyCoFVsBndr :: TyVarBinder -> FV -> FV Source #

tyCoVarsOfType :: Type -> TyCoVarSet Source #

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

tyCoVarsOfTypes :: [Type] -> TyCoVarSet Source #

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

tyCoVarsOfTypeDSet :: Type -> DTyCoVarSet Source #

`tyVarsOfType` 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 FV.

coVarsOfType :: Type -> CoVarSet Source #

coVarsOfTypes :: [Type] -> TyCoVarSet Source #

closeOverKinds :: TyVarSet -> TyVarSet Source #

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

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

Add the kind variables free in the kinds of the tyvars in the given set. Returns a deterministically ordered list.

noFreeVarsOfType :: Type -> Bool Source #

Returns True if this type has no free variables. Should be the same as isEmptyVarSet . tyCoVarsOfType, but faster in the non-forall case.

splitVisVarsOfType :: Type -> Pair TyCoVarSet Source #

Retrieve the free variables in this type, splitting them based on whether they are used visibly or invisibly. Invisible ones come first.

splitVisVarsOfTypes :: [Type] -> Pair TyCoVarSet Source #

expandTypeSynonyms :: Type -> Type Source #

Expand out all type synonyms. Actually, it'd suffice to expand out just the ones that discard type variables (e.g. type Funny a = Int) But we don't know which those are currently, so we just expand all.

`expandTypeSynonyms` only expands out type synonyms mentioned in the type, not in the kinds of any TyCon or TyVar mentioned in the type.

Keep this synchronized with `synonymTyConsOfType`

typeSize :: Type -> Int Source #

# Well-scoped lists of variables

dVarSetElemsWellScoped :: DVarSet -> [Var] Source #

Extract a well-scoped list of variables from a deterministic set of variables. The result is deterministic. NB: There used to exist varSetElemsWellScoped :: VarSet -> [Var] which took a non-deterministic set and produced a non-deterministic well-scoped list. If you care about the list being well-scoped you also most likely care about it being in deterministic order.

toposortTyVars :: [TyVar] -> [TyVar] 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).

tyCoVarsOfTypeWellScoped :: Type -> [TyVar] Source #

Get the free vars of a type in scoped order

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

Get the free vars of types in scoped order

# Type comparison

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

Type equality on source types. Does not look through `newtypes` or `PredType`s, but it does look through type synonyms. This first checks that the kinds of the types are equal and then checks whether the types are equal, ignoring casts and coercions. (The kind check is a recursive call, but since all kinds have type `Type`, there is no need to check the types of kinds.) See also Note [Non-trivial definitional equality] in TyCoRep.

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

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

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

Type equality on lists of types, looking through type synonyms but not newtypes.

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

nonDetCmpTypes :: [Type] -> [Type] -> Ordering Source #

nonDetCmpTypeX :: RnEnv2 -> Type -> Type -> Ordering Source #

nonDetCmpTypesX :: RnEnv2 -> [Type] -> [Type] -> Ordering Source #

nonDetCmpTc :: TyCon -> TyCon -> Ordering Source #

Compare two `TyCon`s. NB: This should never see the "star synonyms", as recognized by Kind.isStarKindSynonymTyCon. See Note [Kind Constraint and kind *] in Kind. See Note [nonDetCmpType nondeterminism]

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

# Forcing evaluation of types

seqType :: Type -> () Source #

seqTypes :: [Type] -> () Source #

# Other views onto Types

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 considers `Constraint` to be a synonym of `TYPE LiftedRep`.

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

tcView :: Type -> Maybe Type Source #

Gives the typechecker view of a type. This unwraps synonyms but leaves `Constraint` alone. c.f. coreView, which turns Constraint into TYPE LiftedRep. Returns Nothing if no unwrapping happens. See also Note [coreView vs tcView] in Type.

tyConsOfType :: Type -> UniqSet TyCon Source #

All type constructors occurring in the type; looking through type synonyms, but not newtypes. When it finds a Class, it returns the class TyCon.

# Main type substitution data types

type TvSubstEnv = TyVarEnv Type Source #

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

data TCvSubst Source #

Type & coercion substitution

The following invariants must hold of a `TCvSubst`:

1. The in-scope set is needed only to guide the generation of fresh uniques
2. In particular, the kind of the type variables in the in-scope set is not relevant
3. The substitution is only applied ONCE! This is because in general such application will not reach a fixed point.

Constructors

TCvSubst InScopeSet TvSubstEnv CvSubstEnv |

Instances

Outputable TCvSubst # |
Methods ppr :: TCvSubst -> SDoc Source # pprPrec :: Rational -> TCvSubst -> SDoc Source #

## Manipulating type substitutions

emptyTvSubstEnv :: TvSubstEnv Source #

emptyTCvSubst :: TCvSubst Source #

mkEmptyTCvSubst :: InScopeSet -> TCvSubst Source #

mkTCvSubst :: InScopeSet -> (TvSubstEnv, CvSubstEnv) -> TCvSubst Source #

zipTvSubst :: [TyVar] -> [Type] -> TCvSubst Source #

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

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

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

notElemTCvSubst :: Var -> TCvSubst -> Bool Source #

getTvSubstEnv :: TCvSubst -> TvSubstEnv Source #

setTvSubstEnv :: TCvSubst -> TvSubstEnv -> TCvSubst Source #

zapTCvSubst :: TCvSubst -> TCvSubst Source #

getTCvInScope :: TCvSubst -> InScopeSet Source #

getTCvSubstRangeFVs :: TCvSubst -> VarSet Source #

Returns the free variables of the types in the range of a substitution as a non-deterministic set.

extendTCvInScope :: TCvSubst -> Var -> TCvSubst Source #

extendTCvInScopeList :: TCvSubst -> [Var] -> TCvSubst Source #

extendTCvInScopeSet :: TCvSubst -> VarSet -> TCvSubst Source #

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

extendCvSubst :: TCvSubst -> CoVar -> Coercion -> TCvSubst Source #

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

extendTvSubstBinder :: TCvSubst -> TyBinder -> Type -> TCvSubst Source #

extendTvSubstList :: TCvSubst -> [Var] -> [Type] -> TCvSubst Source #

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

extendTvSubstWithClone :: TCvSubst -> TyVar -> TyVar -> TCvSubst Source #

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

composeTCvSubstEnv :: InScopeSet -> (TvSubstEnv, CvSubstEnv) -> (TvSubstEnv, CvSubstEnv) -> (TvSubstEnv, CvSubstEnv) Source #

`(compose env1 env2)(x)` is `env1(env2(x))`; i.e. apply `env2` then `env1`. It assumes that both are idempotent. Typically, `env1` is the refinement to a base substitution `env2`

composeTCvSubst :: TCvSubst -> TCvSubst -> TCvSubst Source #

Composes two substitutions, applying the second one provided first, like in function composition.

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

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

isEmptyTCvSubst :: TCvSubst -> Bool Source #

unionTCvSubst :: TCvSubst -> TCvSubst -> TCvSubst Source #

## Performing substitution on types and kinds

substTy :: HasCallStack => TCvSubst -> Type -> Type Source #

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

substTys :: HasCallStack => TCvSubst -> [Type] -> [Type] Source #

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

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

Type substitution, see `zipTvSubst`

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

Type substitution, see `zipTvSubst`

substTheta :: HasCallStack => TCvSubst -> ThetaType -> ThetaType Source #

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

substTyAddInScope :: TCvSubst -> 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 :: TCvSubst -> 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 :: TCvSubst -> [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.

substThetaUnchecked :: TCvSubst -> 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 :: TCvSubst -> 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.

substTyWithInScope :: InScopeSet -> [TyVar] -> [Type] -> Type -> Type Source #

Substitute tyvars within a type using a known `InScopeSet`. Pre-condition: the `in_scope` set should satisfy Note [The substitution invariant]; specifically it should include the free vars of `tys`, and of `ty` minus the domain of the subst.

substTyVarBndr :: HasCallStack => TCvSubst -> TyVar -> (TCvSubst, TyVar) Source #

substTyVar :: TCvSubst -> TyVar -> Type Source #

substTyVars :: TCvSubst -> [TyVar] -> [Type] Source #

cloneTyVarBndr :: TCvSubst -> TyVar -> Unique -> (TCvSubst, TyVar) Source #

cloneTyVarBndrs :: TCvSubst -> [TyVar] -> UniqSupply -> (TCvSubst, [TyVar]) Source #

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

# Pretty-printing

pprType :: Type -> SDoc Source #

pprParendType :: Type -> SDoc Source #

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

pprTyThingCategory :: TyThing -> SDoc Source #

pprShortTyThing :: TyThing -> SDoc Source #

pprTvBndr :: TyVarBinder -> SDoc Source #

pprTvBndrs :: [TyVarBinder] -> SDoc Source #

pprForAll :: [TyVarBinder] -> SDoc Source #

pprUserForAll :: [TyVarBinder] -> SDoc Source #

Print a user-level forall; see Note [When to print foralls]

pprSigmaType :: Type -> SDoc Source #

ppSuggestExplicitKinds :: SDoc Source #

pprTheta :: ThetaType -> SDoc Source #

pprThetaArrowTy :: ThetaType -> SDoc Source #

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

pprKind :: Kind -> SDoc Source #

pprParendKind :: Kind -> SDoc Source #

pprSourceTyCon :: TyCon -> SDoc Source #

Pretty prints a `TyCon`, using the family instance in case of a representation tycon. For example:

    data T [a] = ...

In that case we want to print `T [a]`, where `T` is the family `TyCon`

data TyPrec Source #

Constructors

TopPrec |
FunPrec |
TyOpPrec |
TyConPrec |

Instances

Eq TyPrec # |
Methods (==) :: TyPrec -> TyPrec -> Bool # (/=) :: TyPrec -> TyPrec -> Bool #
Ord TyPrec # |
Methods compare :: TyPrec -> TyPrec -> Ordering # (<) :: TyPrec -> TyPrec -> Bool # (<=) :: TyPrec -> TyPrec -> Bool # (>) :: TyPrec -> TyPrec -> Bool # (>=) :: TyPrec -> TyPrec -> Bool # max :: TyPrec -> TyPrec -> TyPrec # min :: TyPrec -> TyPrec -> TyPrec #

maybeParen :: TyPrec -> TyPrec -> SDoc -> SDoc Source #

pprTyVar :: TyVar -> SDoc Source #

pprTyVars :: [TyVar] -> SDoc Source #

pprPrefixApp :: TyPrec -> SDoc -> [SDoc] -> SDoc Source #

pprArrowChain :: TyPrec -> [SDoc] -> SDoc Source #

# Tidying type related things up for printing

tidyType :: TidyEnv -> Type -> Type Source #

tidyTypes :: TidyEnv -> [Type] -> [Type] Source #

tidyOpenType :: TidyEnv -> Type -> (TidyEnv, Type) Source #

tidyOpenTypes :: TidyEnv -> [Type] -> (TidyEnv, [Type]) Source #

Grabs the free type variables, tidies them and then uses `tidyType` to work over the type itself

tidyOpenKind :: TidyEnv -> Kind -> (TidyEnv, Kind) Source #

tidyTyCoVarBndr :: TidyEnv -> TyCoVar -> (TidyEnv, TyCoVar) Source #

tidyTyCoVarBndrs :: TidyEnv -> [TyCoVar] -> (TidyEnv, [TyCoVar]) Source #

This tidies up a type for printing in an error message, or in an interface file.

It doesn't change the uniques at all, just the print names.

tidyFreeTyCoVars :: TidyEnv -> [TyCoVar] -> TidyEnv Source #

Add the free `TyVar`s to the env in tidy form, so that we can tidy the type they are free in

tidyOpenTyCoVar :: TidyEnv -> TyCoVar -> (TidyEnv, TyCoVar) Source #

Treat a new `TyCoVar` as a binder, and give it a fresh tidy name using the environment if one has not already been allocated. See also `tidyTyCoVarBndr`

tidyOpenTyCoVars :: TidyEnv -> [TyCoVar] -> (TidyEnv, [TyCoVar]) Source #

tidyTyVarOcc :: TidyEnv -> TyVar -> TyVar Source #

tidyTopType :: Type -> Type Source #

Calls `tidyType` on a top-level type (i.e. with an empty tidying environment)

tidyKind :: TidyEnv -> Kind -> Kind Source #

tidyTyVarBinder :: TidyEnv -> TyVarBndr TyVar vis -> (TidyEnv, TyVarBndr TyVar vis) Source #

tidyTyVarBinders :: TidyEnv -> [TyVarBndr TyVar vis] -> (TidyEnv, [TyVarBndr TyVar vis]) Source #