ghc-9.2.0.20210821: The GHC API
Safe HaskellSafe-Inferred
LanguageHaskell2010

GHC.Core.TyCo.Rep

Synopsis

Types

data Type Source #

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 !TyCoVarBinder Type

A Π type. 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]

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 INVARIANT: The Type is not a CastTy (use TransCo instead) INVARIANT: The Type is not a ForAllTy over a type variable See Note [Respecting definitional equality] (EQ2), (EQ3), (EQ4)

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 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

data TyLit Source #

Instances

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

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

toConstr :: TyLit -> Constr Source #

dataTypeOf :: TyLit -> DataType Source #

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

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

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

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

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

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

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

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

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

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

Outputable TyLit Source # 
Instance details

Defined in GHC.Core.TyCo.Rep

Methods

ppr :: TyLit -> SDoc Source #

Eq TyLit Source # 
Instance details

Defined in GHC.Core.TyCo.Rep

Methods

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

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

type KindOrType = Type Source #

The key representation of types within the compiler

type Kind = Type Source #

The key type representing kinds in the compiler.

type KnotTied ty = 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

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 PredTypes

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 [VarBndrs, TyCoVarBinders, TyConBinders, and visibility] in GHC.Core.TyCo.Rep

Bundled Patterns

pattern Specified :: ArgFlag 
pattern Inferred :: ArgFlag 

Instances

Instances details
Data ArgFlag 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) -> 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 :: forall r r'. (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 #

Binary ArgFlag Source # 
Instance details

Defined in GHC.Types.Var

Outputable ArgFlag Source # 
Instance details

Defined in GHC.Types.Var

Methods

ppr :: ArgFlag -> SDoc Source #

Eq ArgFlag Source # 
Instance details

Defined in GHC.Types.Var

Methods

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

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

Ord ArgFlag Source # 
Instance details

Defined in GHC.Types.Var

Outputable tv => Outputable (VarBndr tv ArgFlag) Source # 
Instance details

Defined in GHC.Types.Var

Methods

ppr :: VarBndr tv ArgFlag -> SDoc Source #

data AnonArgFlag Source #

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

Constructors

VisArg

Used for (->): an ordinary non-dependent arrow. The argument is visible in source code.

InvisArg

Used for (=>): a non-dependent predicate arrow. The argument is invisible in source code.

Instances

Instances details
Data AnonArgFlag 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) -> AnonArgFlag -> c AnonArgFlag Source #

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

toConstr :: AnonArgFlag -> Constr Source #

dataTypeOf :: AnonArgFlag -> DataType Source #

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

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

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

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

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

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

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

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

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

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

Binary AnonArgFlag Source # 
Instance details

Defined in GHC.Types.Var

Outputable AnonArgFlag Source # 
Instance details

Defined in GHC.Types.Var

Methods

ppr :: AnonArgFlag -> SDoc Source #

Eq AnonArgFlag Source # 
Instance details

Defined in GHC.Types.Var

Ord AnonArgFlag Source # 
Instance details

Defined in GHC.Types.Var

Coercions

data Coercion Source #

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

Instances

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

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

toConstr :: Coercion -> Constr Source #

dataTypeOf :: Coercion -> DataType Source #

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

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

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

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

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

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

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

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

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

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

Outputable Coercion Source # 
Instance details

Defined in GHC.Core.TyCo.Rep

Methods

ppr :: Coercion -> SDoc Source #

Eq (DeBruijn Coercion) Source # 
Instance details

Defined in GHC.Core.Map.Type

data UnivCoProvenance Source #

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 

Instances

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

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

toConstr :: UnivCoProvenance -> Constr Source #

dataTypeOf :: UnivCoProvenance -> DataType Source #

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

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

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

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

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

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

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

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

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

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

Outputable UnivCoProvenance Source # 
Instance details

Defined in GHC.Core.TyCo.Rep

data CoercionHole Source #

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

Constructors

CoercionHole 

Instances

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

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

toConstr :: CoercionHole -> Constr Source #

dataTypeOf :: CoercionHole -> DataType Source #

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

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

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

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

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

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

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

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

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

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

Uniquable CoercionHole Source # 
Instance details

Defined in GHC.Core.TyCo.Rep

Outputable CoercionHole Source # 
Instance details

Defined in GHC.Core.TyCo.Rep

data MCoercion Source #

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 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) -> MCoercion -> c MCoercion Source #

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

toConstr :: MCoercion -> Constr Source #

dataTypeOf :: MCoercion -> DataType Source #

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

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

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

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

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

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

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

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

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

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

Outputable MCoercion Source # 
Instance details

Defined in GHC.Core.TyCo.Rep

Methods

ppr :: MCoercion -> SDoc Source #

Functions over types

mkTyConTy_ :: TyCon -> Type Source #

Create a nullary TyConApp. In general you should rather use mkTyConTy. This merely exists to break the import cycle between TyCon and this module.

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

mkVisFunTy :: Mult -> Type -> Type -> Type infixr 3 Source #

mkInvisFunTy :: Mult -> Type -> Type -> Type infixr 3 Source #

mkVisFunTys :: [Scaled Type] -> Type -> Type Source #

Make nested arrow types

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

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

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

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

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

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

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

Special, common, case: Arrow type with mult Many

Functions over binders

data TyCoBinder Source #

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

Instances

Instances details
Data TyCoBinder 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) -> TyCoBinder -> c TyCoBinder Source #

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

toConstr :: TyCoBinder -> Constr Source #

dataTypeOf :: TyCoBinder -> DataType Source #

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

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

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

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

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

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

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

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

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

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

Outputable TyCoBinder Source # 
Instance details

Defined in GHC.Core.TyCo.Rep

Methods

ppr :: TyCoBinder -> SDoc Source #

type TyCoVarBinder = VarBndr TyCoVar ArgFlag Source #

Variable Binder

A TyCoVarBinder is the binder of a ForAllTy It's convenient to define this synonym here rather its natural home in GHC.Core.TyCo.Rep, because it's used in GHC.Core.DataCon.hs-boot

A TyVarBinder is a binder with only TyVar

type TyBinder = TyCoBinder Source #

TyBinder is like TyCoBinder, but there can only be TyVarBinder in the Named field.

binderVar :: VarBndr tv argf -> tv Source #

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

binderArgFlag :: VarBndr tv argf -> argf Source #

delBinderVar :: VarSet -> TyCoVarBinder -> VarSet Source #

Remove the binder's variable from the set, if the binder has a variable.

isInvisibleArgFlag :: ArgFlag -> Bool Source #

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

isVisibleArgFlag :: ArgFlag -> Bool Source #

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

isInvisibleBinder :: TyCoBinder -> Bool Source #

Does this binder bind an invisible argument?

isVisibleBinder :: TyCoBinder -> Bool Source #

Does this binder bind a visible argument?

isTyBinder :: TyCoBinder -> Bool Source #

If its a named binder, is the binder a tyvar? Returns True for nondependent binder. This check that we're really returning a *Ty*Binder (as opposed to a coercion binder). That way, if/when we allow coercion quantification in more places, we'll know we missed updating some function.

Functions over coercions

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

Analyzing types

data TyCoFolder env a Source #

Constructors

TyCoFolder 

Fields

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

Sizes

Multiplicities

data Scaled a Source #

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

Constructors

Scaled !Mult a 

Instances

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

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

toConstr :: Scaled a -> Constr Source #

dataTypeOf :: Scaled a -> DataType Source #

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

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

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

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

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

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

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

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

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

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

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

Defined in GHC.Core.TyCo.Rep

Methods

ppr :: Scaled a -> SDoc Source #

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

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

type Mult = Type Source #

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.