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README
The monomorphic library
What is this?
This library provides the type-class and functions to convert polymorphic data-types to/from its monomorphic representation types. It is convenient to provide a monomorphic interface for dependently-typed programs.
Usage
Consider the following example:
data Nat = Z | S Nat
data SNat (n :: Nat) where
SZ :: SNat Z
SS :: SNat n -> SNat (S n)
instance Monomorphicable SNat where
type MonomorphicRep SNat = Int
promote 0 = Monomorphic SZ
promote n
| n < 0 = error "negative number"
| otherwise =
case promote (n - 1) of
Monomorphic sn -> Monomorphic (SS sn)
demote (Monomorphic sn) = toInt sn
data Vector (a :: *) (n :: Nat) where
VNil :: Vector a Z
(:-) :: a -> Vector a n -> Vector a (S n)
instance Monomorphicable (Vector a) whre
type MonomorphicRep (Vector a) = [a]
demote (Monomorphic n) = toList n
promote [] = Monomorphic Nil
promote (x:xs) =
case promote xs of
Monomorphic xs' -> Monomorphic $ x :- xs'
Monomorphic k is the wrapper type to eliminate the polymorphic part of the types.
The Monomorphicable type-class provides the functions to convert polymorphic value from/to its monomorphic representation, say MonomorphicRep k associated type.
In the example above, SNat n can be monomorphically represented by Int.
There are some convenient functions to manipulate monomorphic types and functions. For more detail, see API documentation.