) where
import Prelude
-import Data.Map ( Map )
-import qualified Data.Map as Map hiding ( Map )
-import Data.IntMap ( IntMap )
-import qualified Data.IntMap as IntMap hiding ( IntMap )
-import Data.Set ( Set )
-import qualified Data.Set as Set hiding ( Set )
-import Data.IntSet ( IntSet )
-import qualified Data.IntSet as IntSet hiding ( IntSet )
-- ---------------------------------------------------------------------------
-- | The monoid class.
instance Num a => Monoid (Product a) where
mempty = Product 1
Product x `mappend` Product y = Product (x * y)
-
-instance (Ord k) => Monoid (Map k v) where
- mempty = Map.empty
- mappend = Map.union
- mconcat = Map.unions
-
-instance Ord a => Monoid (IntMap a) where
- mempty = IntMap.empty
- mappend = IntMap.union
- mconcat = IntMap.unions
-
-instance Ord a => Monoid (Set a) where
- mempty = Set.empty
- mappend = Set.union
- mconcat = Set.unions
-
-instance Monoid IntSet where
- mempty = IntSet.empty
- mappend = IntSet.union
- mconcat = IntSet.unions