sing.hs without separate Mode

sing.hs

@@ -1,49 +1,33 @@
 {-# language GHC2024, AllowAmbiguousTypes, TypeAbstractions #-}
--- AllowAmbiguousTypes for dispatch :: Dispatchable d => String
 
+import Data.Maybe
+import Data.Type.Equality
+import GHC.TypeLits
 import System.Environment
 
 main = do
   [s] <- getArgs
-  putStrLn $ maybe "not found" dispatchDyn $ fromString s
-
-
-data Mode = A | B
-
-data SMode m where SA :: SMode A; SB :: SMode B
-
-class KnownMode m where knownMode :: SMode m
-instance KnownMode A where knownMode = SA
-instance KnownMode B where knownMode = SB
-
-
-withMode :: Mode -> (forall m. KnownMode m => r) -> r
-withMode A f = f @A
-withMode B f = f @B
-
-
-fromString :: String -> Maybe Mode
-fromString "a" = Just A
-fromString "b" = Just B
-fromString _   = Nothing
+  putStrLn $ fromMaybe "some default value" $ dispatchDyn s
 
 
 class Dispatchable d where dispatch :: String
-instance Dispatchable A where dispatch = "A"
-instance Dispatchable B where dispatch = "B"
+instance Dispatchable "a" where dispatch = "A"
+instance Dispatchable "b" where dispatch = "B"
 
-dispatchDyn :: Mode -> String
-dispatchDyn m = withMode m $ \ @m -> dispatch @m \\ allModesDispatchable @m
+dispatchDyn :: String -> Maybe String
+dispatchDyn m = withSomeSSymbol m $ \(SSymbol @m) ->
+  case stringDispatchable @m of
+    Just Dict -> Just $ dispatch @m
+    Nothing   -> Nothing
 
 
-allModesDispatchable :: KnownMode m :- Dispatchable m
-allModesDispatchable @m =
-  Sub $ case knownMode @m of SA -> Dict; SB -> Dict
+stringDispatchable :: KnownSymbol m => Maybe (Dict (Dispatchable m))
+stringDispatchable @m
+  | Just Refl <- is @"a" @m = Just Dict
+  | Just Refl <- is @"b" @m = Just Dict
+  | otherwise = Nothing
+  where is :: (KnownSymbol a, KnownSymbol b) => Maybe (a :~: b)
+        is @a @b = sameSymbol (SSymbol @a) (SSymbol @b)
 
 
--- this stuff taken from the `constraints` package
 data Dict c = c => Dict
-data c :- d = Sub (c => Dict d)
-
-(\\) :: c => (d => r) -> c :- d -> r
-r \\ Sub Dict = r