\begin{code}
module TypeRep (
- Type(..), TyNote(..), PredType(..), -- Representation visible to friends
+ Type(..), TyNote(..), SourceType(..), -- Representation visible to friends
- Kind, ThetaType, RhoType, TauType, SigmaType, -- Synonyms
+ Kind, TauType, PredType, ThetaType, -- Synonyms
TyVarSubst,
superKind, superBoxity, -- KX and BX respectively
( a, b ) No Yes Yes Yes
[a] No Yes Yes Yes
+
+
+ ----------------------
+ A note about newtypes
+ ----------------------
+
+Consider
+ newtype N = MkN Int
+
+Then we want N to be represented as an Int, and that's what we arrange.
+The front end of the compiler [TcType.lhs] treats N as opaque,
+the back end treats it as transparent [Type.lhs].
+
+There's a bit of a problem with recursive newtypes
+ newtype P = MkP P
+ newtype Q = MkQ (Q->Q)
+
+Here the 'implicit expansion' we get from treating P and Q as transparent
+would give rise to infinite types, which in turn makes eqType diverge.
+Similarly splitForAllTys and splitFunTys can get into a loop.
+
+Solution: for recursive newtypes use a coerce, and treat the newtype
+and its representation as distinct right through the compiler. That's
+what you get if you use recursive newtypes. (They are rare, so who
+cares if they are a tiny bit less efficient.)
+
+The TyCon still says "I'm a newtype", but we do not represent the
+newtype application as a SourceType; instead as a TyConApp.
+
+
%************************************************************************
%* *
\subsection{The data type}
\begin{code}
type SuperKind = Type
type Kind = Type
+type TauType = Type
type TyVarSubst = TyVarEnv Type
TyVar
Type
- | PredTy -- A Haskell predicate
- PredType
+ | SourceTy -- A high level source type
+ SourceType -- ...can be expanded to a representation type...
| UsageTy -- A usage-annotated type
Type -- - Annotation of kind $ (i.e., usage annotation)
Type -- The expanded version
data TyNote
- = SynNote Type -- The unexpanded version of the type synonym; always a TyConApp
- | FTVNote TyVarSet -- The free type variables of the noted expression
+ = FTVNote TyVarSet -- The free type variables of the noted expression
-type ThetaType = [PredType]
-type RhoType = Type
-type TauType = Type
-type SigmaType = Type
+ | SynNote Type -- Used for type synonyms
+ -- The Type is always a TyConApp, and is the un-expanded form.
+ -- The type to which the note is attached is the expanded form.
\end{code}
INVARIANT: UsageTys are optional, but may *only* appear immediately
for the purposes of this rule.
-------------------------------------
- Predicates
+ Source types
+
+A type of the form
+ SourceTy sty
+represents a value whose type is the Haskell source type sty.
+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
+
+There are two main uses
+ a) Haskell predicates
+ b) newtypes
Consider these examples:
f :: (Eq a) => a -> Int
Predicates are represented inside GHC by PredType:
\begin{code}
-data PredType = ClassP Class [Type]
- | IParam Name Type
+data SourceType = ClassP Class [Type] -- Class predicate
+ | IParam Name Type -- Implicit parameter
+ | NType TyCon [Type] -- A *saturated*, *non-recursive* newtype application
+ -- [See notes at top about newtypes]
+
+type PredType = SourceType -- A subtype for predicates
+type ThetaType = [PredType]
\end{code}
(We don't support TREX records yet, but the setup is designed