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    Fixed bug in coercion for indexed data types · a7a32655
    chak@cse.unsw.edu.au. authored
    Mon Sep 18 19:12:51 EDT 2006  Manuel M T Chakravarty <chak@cse.unsw.edu.au>
      * Fixed bug in coercion for indexed data types
      Fri Aug 25 16:45:29 EDT 2006  Manuel M T Chakravarty <chak@cse.unsw.edu.au>
        * Fixed bug in coercion for indexed data types
        - Significant examples are starting to work; eg, generic finite maps:
        
        class GMapKey k where
          data GMap k :: * -> *
          empty       :: GMap k v
          lookup      :: k -> GMap k v -> Maybe v
          insert      :: k -> v -> GMap k v -> GMap k v
        
        instance GMapKey Int where
          data GMap Int v        = GMapInt (Map.Map Int v)
          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
          data GMap Char v        = GMapChar (GMap Int v)
          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
          data GMap () v           = GMapUnit (Maybe v)
          empty                    = GMapUnit Nothing
          lookup () (GMapUnit v)   = v
          insert () v (GMapUnit _) = GMapUnit $ Just v
        
        instance (GMapKey a, GMapKey b) => GMapKey (a, b) where
          data GMap (a, b) v            = GMapPair (GMap a (GMap b v))
          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
          data GMap (Either a b) v                = GMapEither (GMap a v) (GMap b v)
          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)
        
    a7a32655