A pure function (enumToIORef :: (Enum a, Defaultable b)
=> a -> IORef b). This function returns referentially
transparently an IORef as a function of its "seed" with the
guarantee that the IORef returned is identical if and only if
the seed is. This function can be used to implement top level
mutable state in a module. The module can specifically create
an enumerated type for this and not export it, thereby
removing any possibility of another module passing the seed
type and conflicting.
The Defaultable class is added in this case to implement
only a single method (defaultValue :: Defaultable a => a
-> a). This is conceptionally the 'simplest' value of the
type, such as the empty list, the number 0, False, the null
character &c. The IORef returned by enumToIORef would be
initialized before being written to to this specific default
value of its type. This approach is chosen because it is
impossible to initialize it to user specified value because
enumToIORef can be called twice with the same seed but a
different initial value.
In the alternative it is also possible to do without the
default value and say the IORef returned is the same if and
only if the seed and the initial value given are the same.
Allowing the function to remain referentially transparent as
well. This would probably require for good semantics the
underlying type of the IORef to be a member of EQ...?
All this would of course require that newIORef and
enumToIORef never produce the same IORef.
Aside its limitations of the type IORef's initialized with
this method can carry, I do believe they cover the vast
majority of use cases of top level mutable state?
Caveats?