ghc-lib-parser-9.8.1.20231009: The GHC API, decoupled from GHC versions
Safe HaskellSafe-Inferred
LanguageHaskell2010

GHC.Core.TyCo.Rep

Synopsis

Types

data Type #

Constructors

TyVarTy Var

Vanilla type or kind variable (*never* a coercion variable)

AppTy Type Type

Type application to something other than a TyCon. Parameters:

1) Function: must not be a TyConApp or CastTy, must be another AppTy, or TyVarTy See Note [Respecting definitional equality] (EQ1) about the no CastTy requirement

2) Argument type

TyConApp TyCon [KindOrType]

Application of a TyCon, including newtypes and synonyms. Invariant: saturated applications of FunTyCon must use FunTy and saturated synonyms must use their own constructors. However, unsaturated FunTyCons do appear as TyConApps. Parameters:

1) Type constructor being applied to.

2) Type arguments. Might not have enough type arguments here to saturate the constructor. Even type synonyms are not necessarily saturated; for example unsaturated type synonyms can appear as the right hand side of a type synonym.

ForAllTy !ForAllTyBinder Type

A Π type. Note [When we quantify over a coercion variable] INVARIANT: If the binder is a coercion variable, it must be mentioned in the Type. See Note [Unused coercion variable in ForAllTy]

FunTy

FUN m t1 t2 Very common, so an important special case See Note [Function types]

Fields

LitTy TyLit

Type literals are similar to type constructors.

CastTy Type KindCoercion

A kind cast. The coercion is always nominal. INVARIANT: The cast is never reflexive (EQ2) INVARIANT: The Type is not a CastTy (use TransCo instead) (EQ3) INVARIANT: The Type is not a ForAllTy over a tyvar (EQ4) See Note [Respecting definitional equality]

CoercionTy Coercion

Injection of a Coercion into a type This should only ever be used in the RHS of an AppTy, in the list of a TyConApp, when applying a promoted GADT data constructor

Instances

Instances details
Data Type # 
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

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

toConstr :: Type -> Constr

dataTypeOf :: Type -> DataType

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

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

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

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

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

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

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

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

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

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

Outputable Type # 
Instance details

Defined in GHC.Core.TyCo.Rep

Methods

ppr :: Type -> SDoc #

Eq (DeBruijn Type) # 
Instance details

Defined in GHC.Core.Map.Type

data TyLit #

Instances

Instances details
Data TyLit # 
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) -> TyLit -> c TyLit

gunfold :: (forall b r. Data b => c (b -> r) -> c r) -> (forall r. r -> c r) -> Constr -> c TyLit

toConstr :: TyLit -> Constr

dataTypeOf :: TyLit -> DataType

dataCast1 :: Typeable t => (forall d. Data d => c (t d)) -> Maybe (c TyLit)

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

gmapT :: (forall b. Data b => b -> b) -> TyLit -> TyLit

gmapQl :: (r -> r' -> r) -> r -> (forall d. Data d => d -> r') -> TyLit -> r

gmapQr :: forall r r'. (r' -> r -> r) -> r -> (forall d. Data d => d -> r') -> TyLit -> r

gmapQ :: (forall d. Data d => d -> u) -> TyLit -> [u]

gmapQi :: Int -> (forall d. Data d => d -> u) -> TyLit -> u

gmapM :: Monad m => (forall d. Data d => d -> m d) -> TyLit -> m TyLit

gmapMp :: MonadPlus m => (forall d. Data d => d -> m d) -> TyLit -> m TyLit

gmapMo :: MonadPlus m => (forall d. Data d => d -> m d) -> TyLit -> m TyLit

Outputable TyLit # 
Instance details

Defined in GHC.Core.TyCo.Rep

Methods

ppr :: TyLit -> SDoc #

Eq TyLit # 
Instance details

Defined in GHC.Core.TyCo.Rep

Methods

(==) :: TyLit -> TyLit -> Bool #

(/=) :: TyLit -> TyLit -> Bool #

type KindOrType = Type #

The key representation of types within the compiler

type Kind = Type #

The key type representing kinds in the compiler.

type RuntimeRepType = Type #

Type synonym used for types of kind RuntimeRep.

type LevityType = Type #

Type synonym used for types of kind Levity.

type KnotTied ty = ty #

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

type PredType = Type #

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] #

A collection of PredTypes

type FRRType = Type #

data ForAllTyFlag #

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

Bundled Patterns

pattern Specified :: ForAllTyFlag 
pattern Inferred :: ForAllTyFlag 

Instances

Instances details
Data ForAllTyFlag # 
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) -> ForAllTyFlag -> c ForAllTyFlag

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

toConstr :: ForAllTyFlag -> Constr

dataTypeOf :: ForAllTyFlag -> DataType

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

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

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

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

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

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

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

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

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

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

Binary ForAllTyFlag # 
Instance details

Defined in GHC.Types.Var

Outputable ForAllTyFlag # 
Instance details

Defined in GHC.Types.Var

Methods

ppr :: ForAllTyFlag -> SDoc #

Eq ForAllTyFlag # 
Instance details

Defined in GHC.Types.Var

Ord ForAllTyFlag # 
Instance details

Defined in GHC.Types.Var

Outputable tv => Outputable (VarBndr tv ForAllTyFlag) # 
Instance details

Defined in GHC.Types.Var

Methods

ppr :: VarBndr tv ForAllTyFlag -> SDoc #

data FunTyFlag #

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 # 
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

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

toConstr :: FunTyFlag -> Constr

dataTypeOf :: FunTyFlag -> DataType

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

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

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

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

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

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

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

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

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

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

Binary FunTyFlag # 
Instance details

Defined in GHC.Types.Var

Outputable FunTyFlag # 
Instance details

Defined in GHC.Types.Var

Methods

ppr :: FunTyFlag -> SDoc #

Eq FunTyFlag # 
Instance details

Defined in GHC.Types.Var

Ord FunTyFlag # 
Instance details

Defined in GHC.Types.Var

Coercions

data Coercion #

A Coercion is concrete evidence of the equality/convertibility of two types.

Instances

Instances details
Data Coercion # 
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) -> Coercion -> c Coercion

gunfold :: (forall b r. Data b => c (b -> r) -> c r) -> (forall r. r -> c r) -> Constr -> c Coercion

toConstr :: Coercion -> Constr

dataTypeOf :: Coercion -> DataType

dataCast1 :: Typeable t => (forall d. Data d => c (t d)) -> Maybe (c Coercion)

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

gmapT :: (forall b. Data b => b -> b) -> Coercion -> Coercion

gmapQl :: (r -> r' -> r) -> r -> (forall d. Data d => d -> r') -> Coercion -> r

gmapQr :: forall r r'. (r' -> r -> r) -> r -> (forall d. Data d => d -> r') -> Coercion -> r

gmapQ :: (forall d. Data d => d -> u) -> Coercion -> [u]

gmapQi :: Int -> (forall d. Data d => d -> u) -> Coercion -> u

gmapM :: Monad m => (forall d. Data d => d -> m d) -> Coercion -> m Coercion

gmapMp :: MonadPlus m => (forall d. Data d => d -> m d) -> Coercion -> m Coercion

gmapMo :: MonadPlus m => (forall d. Data d => d -> m d) -> Coercion -> m Coercion

Outputable Coercion # 
Instance details

Defined in GHC.Core.TyCo.Rep

Methods

ppr :: Coercion -> SDoc #

Eq (DeBruijn Coercion) # 
Instance details

Defined in GHC.Core.Map.Type

data CoSel #

Instances

Instances details
Data CoSel # 
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) -> CoSel -> c CoSel

gunfold :: (forall b r. Data b => c (b -> r) -> c r) -> (forall r. r -> c r) -> Constr -> c CoSel

toConstr :: CoSel -> Constr

dataTypeOf :: CoSel -> DataType

dataCast1 :: Typeable t => (forall d. Data d => c (t d)) -> Maybe (c CoSel)

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

gmapT :: (forall b. Data b => b -> b) -> CoSel -> CoSel

gmapQl :: (r -> r' -> r) -> r -> (forall d. Data d => d -> r') -> CoSel -> r

gmapQr :: forall r r'. (r' -> r -> r) -> r -> (forall d. Data d => d -> r') -> CoSel -> r

gmapQ :: (forall d. Data d => d -> u) -> CoSel -> [u]

gmapQi :: Int -> (forall d. Data d => d -> u) -> CoSel -> u

gmapM :: Monad m => (forall d. Data d => d -> m d) -> CoSel -> m CoSel

gmapMp :: MonadPlus m => (forall d. Data d => d -> m d) -> CoSel -> m CoSel

gmapMo :: MonadPlus m => (forall d. Data d => d -> m d) -> CoSel -> m CoSel

NFData CoSel # 
Instance details

Defined in GHC.Core.TyCo.Rep

Methods

rnf :: CoSel -> ()

Binary CoSel # 
Instance details

Defined in GHC.Core.TyCo.Rep

Methods

put_ :: BinHandle -> CoSel -> IO () #

put :: BinHandle -> CoSel -> IO (Bin CoSel) #

get :: BinHandle -> IO CoSel #

Outputable CoSel # 
Instance details

Defined in GHC.Core.TyCo.Rep

Methods

ppr :: CoSel -> SDoc #

Eq CoSel # 
Instance details

Defined in GHC.Core.TyCo.Rep

Methods

(==) :: CoSel -> CoSel -> Bool #

(/=) :: CoSel -> CoSel -> Bool #

data FunSel #

Constructors

SelMult 
SelArg 
SelRes 

Instances

Instances details
Data FunSel # 
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) -> FunSel -> c FunSel

gunfold :: (forall b r. Data b => c (b -> r) -> c r) -> (forall r. r -> c r) -> Constr -> c FunSel

toConstr :: FunSel -> Constr

dataTypeOf :: FunSel -> DataType

dataCast1 :: Typeable t => (forall d. Data d => c (t d)) -> Maybe (c FunSel)

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

gmapT :: (forall b. Data b => b -> b) -> FunSel -> FunSel

gmapQl :: (r -> r' -> r) -> r -> (forall d. Data d => d -> r') -> FunSel -> r

gmapQr :: forall r r'. (r' -> r -> r) -> r -> (forall d. Data d => d -> r') -> FunSel -> r

gmapQ :: (forall d. Data d => d -> u) -> FunSel -> [u]

gmapQi :: Int -> (forall d. Data d => d -> u) -> FunSel -> u

gmapM :: Monad m => (forall d. Data d => d -> m d) -> FunSel -> m FunSel

gmapMp :: MonadPlus m => (forall d. Data d => d -> m d) -> FunSel -> m FunSel

gmapMo :: MonadPlus m => (forall d. Data d => d -> m d) -> FunSel -> m FunSel

Outputable FunSel # 
Instance details

Defined in GHC.Core.TyCo.Rep

Methods

ppr :: FunSel -> SDoc #

Eq FunSel # 
Instance details

Defined in GHC.Core.TyCo.Rep

Methods

(==) :: FunSel -> FunSel -> Bool #

(/=) :: FunSel -> FunSel -> Bool #

data UnivCoProvenance #

For simplicity, we have just one UnivCo that represents a coercion from some type to some other type, with (in general) no restrictions on the type. The UnivCoProvenance specifies more exactly what the coercion really is and why a program should (or shouldn't!) trust the coercion. It is reasonable to consider each constructor of UnivCoProvenance as a totally independent coercion form; their only commonality is that they don't tell you what types they coercion between. (That info is in the UnivCo constructor of Coercion.

Constructors

PhantomProv KindCoercion

See Note [Phantom coercions]. Only in Phantom roled coercions

ProofIrrelProv KindCoercion

From the fact that any two coercions are considered equivalent. See Note [ProofIrrelProv]. Can be used in Nominal or Representational coercions

PluginProv String

From a plugin, which asserts that this coercion is sound. The string is for the use of the plugin.

CorePrepProv Bool 

Instances

Instances details
Data UnivCoProvenance # 
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) -> UnivCoProvenance -> c UnivCoProvenance

gunfold :: (forall b r. Data b => c (b -> r) -> c r) -> (forall r. r -> c r) -> Constr -> c UnivCoProvenance

toConstr :: UnivCoProvenance -> Constr

dataTypeOf :: UnivCoProvenance -> DataType

dataCast1 :: Typeable t => (forall d. Data d => c (t d)) -> Maybe (c UnivCoProvenance)

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

gmapT :: (forall b. Data b => b -> b) -> UnivCoProvenance -> UnivCoProvenance

gmapQl :: (r -> r' -> r) -> r -> (forall d. Data d => d -> r') -> UnivCoProvenance -> r

gmapQr :: forall r r'. (r' -> r -> r) -> r -> (forall d. Data d => d -> r') -> UnivCoProvenance -> r

gmapQ :: (forall d. Data d => d -> u) -> UnivCoProvenance -> [u]

gmapQi :: Int -> (forall d. Data d => d -> u) -> UnivCoProvenance -> u

gmapM :: Monad m => (forall d. Data d => d -> m d) -> UnivCoProvenance -> m UnivCoProvenance

gmapMp :: MonadPlus m => (forall d. Data d => d -> m d) -> UnivCoProvenance -> m UnivCoProvenance

gmapMo :: MonadPlus m => (forall d. Data d => d -> m d) -> UnivCoProvenance -> m UnivCoProvenance

Outputable UnivCoProvenance # 
Instance details

Defined in GHC.Core.TyCo.Rep

Methods

ppr :: UnivCoProvenance -> SDoc #

data CoercionHole #

A coercion to be filled in by the type-checker. See Note [Coercion holes]

Instances

Instances details
Data CoercionHole # 
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) -> CoercionHole -> c CoercionHole

gunfold :: (forall b r. Data b => c (b -> r) -> c r) -> (forall r. r -> c r) -> Constr -> c CoercionHole

toConstr :: CoercionHole -> Constr

dataTypeOf :: CoercionHole -> DataType

dataCast1 :: Typeable t => (forall d. Data d => c (t d)) -> Maybe (c CoercionHole)

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

gmapT :: (forall b. Data b => b -> b) -> CoercionHole -> CoercionHole

gmapQl :: (r -> r' -> r) -> r -> (forall d. Data d => d -> r') -> CoercionHole -> r

gmapQr :: forall r r'. (r' -> r -> r) -> r -> (forall d. Data d => d -> r') -> CoercionHole -> r

gmapQ :: (forall d. Data d => d -> u) -> CoercionHole -> [u]

gmapQi :: Int -> (forall d. Data d => d -> u) -> CoercionHole -> u

gmapM :: Monad m => (forall d. Data d => d -> m d) -> CoercionHole -> m CoercionHole

gmapMp :: MonadPlus m => (forall d. Data d => d -> m d) -> CoercionHole -> m CoercionHole

gmapMo :: MonadPlus m => (forall d. Data d => d -> m d) -> CoercionHole -> m CoercionHole

Uniquable CoercionHole # 
Instance details

Defined in GHC.Core.TyCo.Rep

Outputable CoercionHole # 
Instance details

Defined in GHC.Core.TyCo.Rep

Methods

ppr :: CoercionHole -> SDoc #

data MCoercion #

A semantically more meaningful type to represent what may or may not be a useful Coercion.

Constructors

MRefl 
MCo Coercion 

Instances

Instances details
Data MCoercion # 
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) -> MCoercion -> c MCoercion

gunfold :: (forall b r. Data b => c (b -> r) -> c r) -> (forall r. r -> c r) -> Constr -> c MCoercion

toConstr :: MCoercion -> Constr

dataTypeOf :: MCoercion -> DataType

dataCast1 :: Typeable t => (forall d. Data d => c (t d)) -> Maybe (c MCoercion)

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

gmapT :: (forall b. Data b => b -> b) -> MCoercion -> MCoercion

gmapQl :: (r -> r' -> r) -> r -> (forall d. Data d => d -> r') -> MCoercion -> r

gmapQr :: forall r r'. (r' -> r -> r) -> r -> (forall d. Data d => d -> r') -> MCoercion -> r

gmapQ :: (forall d. Data d => d -> u) -> MCoercion -> [u]

gmapQi :: Int -> (forall d. Data d => d -> u) -> MCoercion -> u

gmapM :: Monad m => (forall d. Data d => d -> m d) -> MCoercion -> m MCoercion

gmapMp :: MonadPlus m => (forall d. Data d => d -> m d) -> MCoercion -> m MCoercion

gmapMo :: MonadPlus m => (forall d. Data d => d -> m d) -> MCoercion -> m MCoercion

Outputable MCoercion # 
Instance details

Defined in GHC.Core.TyCo.Rep

Methods

ppr :: MCoercion -> SDoc #

Functions over types

mkNakedTyConTy :: TyCon -> Type #

mkNakedTyConTy creates a nullary TyConApp. In general you should rather use mkTyConTy, which picks the shared nullary TyConApp from inside the TyCon (via tyConNullaryTy. But we have to build the TyConApp tc [] in that TyCon field; that's what mkNakedTyConTy is for.

mkFunTy :: HasDebugCallStack => FunTyFlag -> Mult -> Type -> Type -> Type infixr 3 #

mkForAllTy :: ForAllTyBinder -> Type -> Type #

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

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

Wraps foralls over the type using the provided TyCoVars from left to right

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

Wraps foralls over the type using the provided InvisTVBinders from left to right

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

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

Functions over coercions

pickLR :: LeftOrRight -> (a, a) -> a #

Analyzing types

data TyCoFolder env a #

Constructors

TyCoFolder 

Fields

foldTyCo :: Monoid a => TyCoFolder env a -> env -> (Type -> a, [Type] -> a, Coercion -> a, [Coercion] -> a) #

noView :: Type -> Maybe Type #

A view function that looks through nothing.

Sizes

Multiplicities

data Scaled a #

A shorthand for data with an attached Mult element (the multiplicity).

Constructors

Scaled !Mult a 

Instances

Instances details
Data a => Data (Scaled a) # 
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) -> Scaled a -> c (Scaled a)

gunfold :: (forall b r. Data b => c (b -> r) -> c r) -> (forall r. r -> c r) -> Constr -> c (Scaled a)

toConstr :: Scaled a -> Constr

dataTypeOf :: Scaled a -> DataType

dataCast1 :: Typeable t => (forall d. Data d => c (t d)) -> Maybe (c (Scaled a))

dataCast2 :: Typeable t => (forall d e. (Data d, Data e) => c (t d e)) -> Maybe (c (Scaled a))

gmapT :: (forall b. Data b => b -> b) -> Scaled a -> Scaled a

gmapQl :: (r -> r' -> r) -> r -> (forall d. Data d => d -> r') -> Scaled a -> r

gmapQr :: forall r r'. (r' -> r -> r) -> r -> (forall d. Data d => d -> r') -> Scaled a -> r

gmapQ :: (forall d. Data d => d -> u) -> Scaled a -> [u]

gmapQi :: Int -> (forall d. Data d => d -> u) -> Scaled a -> u

gmapM :: Monad m => (forall d. Data d => d -> m d) -> Scaled a -> m (Scaled a)

gmapMp :: MonadPlus m => (forall d. Data d => d -> m d) -> Scaled a -> m (Scaled a)

gmapMo :: MonadPlus m => (forall d. Data d => d -> m d) -> Scaled a -> m (Scaled a)

Outputable a => Outputable (Scaled a) # 
Instance details

Defined in GHC.Core.TyCo.Rep

Methods

ppr :: Scaled a -> SDoc #

scaledThing :: Scaled a -> a #

mapScaledType :: (Type -> Type) -> Scaled Type -> Scaled Type #

Apply a function to both the Mult and the Type in a 'Scaled Type'

type Mult = Type #

Mult is a type alias for Type.

Mult must contain Type because multiplicity variables are mere type variables (of kind Multiplicity) in Haskell. So the simplest implementation is to make Mult be Type.

Multiplicities can be formed with: - One: GHC.Types.One (= oneDataCon) - Many: GHC.Types.Many (= manyDataCon) - Multiplication: GHC.Types.MultMul (= multMulTyCon)

So that Mult feels a bit more structured, we provide pattern synonyms and smart constructors for these.