-- (c) The University of Glasgow 2006-2012 {-# LANGUAGE CPP #-} module Kind ( -- * Main data type Kind, -- ** Predicates on Kinds isLiftedTypeKind, isUnliftedTypeKind, isConstraintKindCon, classifiesTypeWithValues, isKindLevPoly ) where #include "HsVersions.h" import GhcPrelude import {-# SOURCE #-} Type ( coreView ) import TyCoRep import TyCon import PrelNames import Outputable import Util import Data.Maybe( isJust ) {- ************************************************************************ * * Functions over Kinds * * ************************************************************************ Note [Kind Constraint and kind Type] ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ The kind Constraint is the kind of classes and other type constraints. The special thing about types of kind Constraint is that * They are displayed with double arrow: f :: Ord a => a -> a * They are implicitly instantiated at call sites; so the type inference engine inserts an extra argument of type (Ord a) at every call site to f. However, once type inference is over, there is *no* distinction between Constraint and Type. Indeed we can have coercions between the two. Consider class C a where op :: a -> a For this single-method class we may generate a newtype, which in turn generates an axiom witnessing C a ~ (a -> a) so on the left we have Constraint, and on the right we have Type. See Trac #7451. Bottom line: although 'Type' and 'Constraint' are distinct TyCons, with distinct uniques, they are treated as equal at all times except during type inference. -} isConstraintKindCon :: TyCon -> Bool isConstraintKindCon :: TyCon -> Bool isConstraintKindCon tc :: TyCon tc = TyCon -> Unique tyConUnique TyCon tc Unique -> Unique -> Bool forall a. Eq a => a -> a -> Bool == Unique constraintKindTyConKey -- | Tests whether the given kind (which should look like @TYPE x@) -- is something other than a constructor tree (that is, constructors at every node). -- E.g. True of TYPE k, TYPE (F Int) -- False of TYPE 'LiftedRep isKindLevPoly :: Kind -> Bool isKindLevPoly :: Kind -> Bool isKindLevPoly k :: Kind k = ASSERT2( isLiftedTypeKind k || _is_type, ppr k ) -- the isLiftedTypeKind check is necessary b/c of Constraint Kind -> Bool go Kind k where go :: Kind -> Bool go ty :: Kind ty | Just ty' :: Kind ty' <- Kind -> Maybe Kind coreView Kind ty = Kind -> Bool go Kind ty' go TyVarTy{} = Bool True go AppTy{} = Bool True -- it can't be a TyConApp go (TyConApp tc :: TyCon tc tys :: [Kind] tys) = TyCon -> Bool isFamilyTyCon TyCon tc Bool -> Bool -> Bool || (Kind -> Bool) -> [Kind] -> Bool forall (t :: * -> *) a. Foldable t => (a -> Bool) -> t a -> Bool any Kind -> Bool go [Kind] tys go ForAllTy{} = Bool True go (FunTy t1 :: Kind t1 t2 :: Kind t2) = Kind -> Bool go Kind t1 Bool -> Bool -> Bool || Kind -> Bool go Kind t2 go LitTy{} = Bool False go CastTy{} = Bool True go CoercionTy{} = Bool True _is_type :: Bool _is_type = Kind -> Bool classifiesTypeWithValues Kind k ----------------------------------------- -- Subkinding -- The tc variants are used during type-checking, where ConstraintKind -- is distinct from all other kinds -- After type-checking (in core), Constraint and liftedTypeKind are -- indistinguishable -- | Does this classify a type allowed to have values? Responds True to things -- like *, #, TYPE Lifted, TYPE v, Constraint. classifiesTypeWithValues :: Kind -> Bool -- ^ True of any sub-kind of OpenTypeKind classifiesTypeWithValues :: Kind -> Bool classifiesTypeWithValues k :: Kind k = Maybe Kind -> Bool forall a. Maybe a -> Bool isJust (HasDebugCallStack => Kind -> Maybe Kind Kind -> Maybe Kind kindRep_maybe Kind k)