{-# LANGUAGE TypeFamilies #-}

module Main where

import Prelude hiding (lookup)
import Data.Char (ord)
import qualified Data.Map as Map


-- Generic maps as toplevel indexed data types
----------------------------------------------

data family GMap k :: * -> *
data instance GMap Int          v = GMapInt    (Map.Map Int v)
data instance GMap Char         v = GMapChar   (GMap Int v)
data instance GMap ()           v = GMapUnit   (Maybe v)
data instance GMap (a, b)       v = GMapPair   (GMap a (GMap b v))
data instance GMap (Either a b) v = GMapEither (GMap a v) (GMap b v)

class GMapKey k where
  empty       :: GMap k v
  lookup      :: k -> GMap k v -> Maybe v
  insert      :: k -> v -> GMap k v -> GMap k v

instance GMapKey Int where
  empty                  = GMapInt Map.empty
  lookup k (GMapInt m)   = Map.lookup k m
  insert k v (GMapInt m) = GMapInt (Map.insert k v m)

instance GMapKey Char where
  empty                   = GMapChar empty
  lookup k (GMapChar m)   = lookup (ord k) m
  insert k v (GMapChar m) = GMapChar (insert (ord k) v m)

instance GMapKey () where
  empty                    = GMapUnit Nothing
  lookup () (GMapUnit v)   = v
  insert () v (GMapUnit _) = GMapUnit $ Just v

instance (GMapKey a, GMapKey b) => GMapKey (a, b) where
  empty                         = GMapPair empty
  lookup (a, b) (GMapPair gm)   = lookup a gm >>= lookup b
  insert (a, b) v (GMapPair gm) = GMapPair $ case lookup a gm of
                                    Nothing  -> insert a (insert b v empty) gm
                                    Just gm2 -> insert a (insert b v gm2  ) gm

instance (GMapKey a, GMapKey b) => GMapKey (Either a b) where
  empty                                   = GMapEither empty empty
  lookup (Left  a) (GMapEither gm1  _gm2) = lookup a gm1
  lookup (Right b) (GMapEither _gm1 gm2 ) = lookup b gm2
  insert (Left  a) v (GMapEither gm1 gm2) = GMapEither (insert a v gm1) gm2
  insert (Right a) v (GMapEither gm1 gm2) = GMapEither gm1 (insert a v gm2)


-- Test code
-- ---------

nonsence :: GMap Bool String
nonsence = undefined

myGMap :: GMap (Int, Either Char ()) String
myGMap = insert (5, Left 'c') "(5, Left 'c')"    $
         insert (4, Right ()) "(4, Right ())"    $
         insert (5, Right ()) "This is the one!" $
         insert (5, Right ()) "This is the two!" $
         insert (6, Right ()) "(6, Right ())"    $
         insert (5, Left 'a') "(5, Left 'a')"    $
         empty
main = putStrLn $ maybe "Couldn't find key!" id $ lookup (5, Right ()) myGMap
