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Polytyped - Alternative to Dynamic with type guarantees

With Dynamic you can store a value of any type in the same container, but you have to track manually what kind of types can possibly be inside.

import Data.Dynamic
import Data.MysteryBox (getSomeDynamic)

main :: IO ()
main = do
  let dyn = getSomeDynamic
  -- getSomeDynamic :: Dynamic
  putStrLn $ show ((fromDynamic dyn) :: a?) -- What type can this possibly be?

Poly carries this information in a type level list, so you can be sure that it contains a value of one of the listed types.

import Data.Polytyped
import Data.MysteryBox (getSomePoly)

main :: IO ()
main = do
  let poly = getSomePoly
  -- getSomePoly :: Poly '[Car, Bike, Goat, Money]
  putStrLn $ show ((fromPoly poly) :: Car) -- This is no longer a guesswork.

Poly supplies a similar function as custom sum-type without actually needing to define the type. However unlike sum-types, Poly doesn't allow specifying same type multiple times. Representing type such as SumOp is not possible.

data SumOp
  = Add Int
  | Sub Int

You will need to help the type system by using tagged types:

import Data.Tagged

data AddOp
data SubOp

-- Representation of `SumOp` sum-type with `Poly` and tagged types.
type MyTaggedPoly = Poly '[Tagged AddOp Int, Tagged SubOpInt]

or newtype wrappers:

newtype AddOp = Add Int
newtype SubOp = Sub Int

-- Representation of `SumOp` sum-type with `Poly` and newtypes.
type MyNewtypePoly = Poly '[AddOp, SubOp]

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