[documentation
ekmett@gmail.com**20090327004201] {
hunk ./dist/doc/html/monoids/Data-Group.html 214
+>| Group a => Group (FromString a) |
| MultiplicativeMonoid m => MultiplicativeMonoid (FromString m) |
| Group a => Group (FromString a) | MultiplicativeMonoid m => MultiplicativeMonoid (FromString m) |
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Data.Monoid.IntMap, Data.Monoid.Self, Data.Monoid.Generator.Combinators, Data.Monoid.Unit, Data.Monoid.Multiplicative, Data.Monoid.Multiplicative.Transformers, Data.Monoid.Multiplicative.Sugar, Data.Group, Data.Group.SugarData.Monoid.Additive, Data.Monoid.Additive.Sugar, Data.Monoid.Reducer, Data.Monoid.Reducer.Char, Data.Monoid.Lexical.SourcePosition, Data.Monoid.Lexical.UTF8.Decoder, Data.Monoid.Reducer.With, Data.Monoid.Generator, Data.Monoid.Reducer.Sugar, Data.Monoid.Lexical.Words, Data.Monoid.Monad, Data.Monoid.Applicative, Data.Monoid.Self, Data.Monoid.Generator.Combinators, Data.Monoid.Multiplicative, Data.Monoid.Multiplicative.Transformers, Data.Monoid.Multiplicative.Sugar, Data.Group, Data.Group.Sugar, Data.Monoid.UnitData.Monoid.Additive, Data.Monoid.Additive.Sugar, Data.Monoid.Reducer, Data.Monoid.Reducer.Char, Data.Monoid.Lexical.SourcePosition, Data.Monoid.Lexical.UTF8.Decoder, Data.Monoid.Reducer.With, Data.Monoid.Generator, Data.Monoid.Reducer.Sugar, Data.Monoid.Lexical.Words, Data.Monoid.Monad, Data.Monoid.Applicative, Data.Monoid.Self, Data.Monoid.Generator.Combinators, Data.Monoid.Unit, Data.Monoid.Multiplicative, Data.Monoid.Multiplicative.Transformers, Data.Monoid.Multiplicative.Sugar, Data.Group, Data.Group.SugarData.Monoid.Additive, Data.Monoid.Additive.Sugar, Data.Monoid.Categorical, Data.Monoid.Reducer, Data.Monoid.Reducer.Char, Data.Monoid.Lexical.SourcePosition, Data.Monoid.Lexical.UTF8.Decoder, Data.Monoid.Reducer.With, Data.Monoid.Generator, Data.Monoid.Reducer.Sugar, Data.Monoid.Lexical.Words, Data.Monoid.Ord, Data.Monoid.Monad, Data.Monoid.Applicative, Data.Monoid.Map, Data.Monoid.IntMap, Data.Monoid.Self, Data.Monoid.Generator.Combinators, Data.Monoid.Multiplicative, Data.Monoid.Multiplicative.Transformers, Data.Monoid.Multiplicative.Sugar, Data.Group, Data.Group.Sugar, Data.Monoid.UnitData.Monoid.Additive, Data.Monoid.Additive.Sugar, Data.Monoid.Categorical, Data.Monoid.Reducer, Data.Monoid.Reducer.Char, Data.Monoid.Lexical.SourcePosition, Data.Monoid.Lexical.UTF8.Decoder, Data.Monoid.Reducer.With, Data.Monoid.Generator, Data.Monoid.Reducer.Sugar, Data.Monoid.Lexical.Words, Data.Monoid.Ord, Data.Monoid.Monad, Data.Monoid.Applicative, Data.Monoid.Map, Data.Monoid.IntMap, Data.Monoid.Self, Data.Monoid.Generator.Combinators, Data.Monoid.Unit, Data.Monoid.Multiplicative, Data.Monoid.Multiplicative.Transformers, Data.Monoid.Multiplicative.Sugar, Data.Group, Data.Group.SugarData.Monoid.Additive, Data.Monoid.Additive.Sugar, Data.Monoid.Categorical, Data.Monoid.Reducer, Data.Monoid.Reducer.Char, Data.Monoid.Lexical.SourcePosition, Data.Monoid.Lexical.UTF8.Decoder, Data.Monoid.Reducer.With, Data.Monoid.Generator, Data.Monoid.Reducer.Sugar, Data.Monoid.Lexical.Words, Data.Monoid.Ord, Data.Monoid.Monad, Data.Monoid.Applicative, Data.Monoid.Map, Data.Monoid.IntMap, Data.Monoid.Self, Data.Monoid.Generator.Combinators, Data.Monoid.Multiplicative, Data.Monoid.Multiplicative.Transformers, Data.Monoid.Multiplicative.Sugar, Data.Group, Data.Group.Sugar, Data.Monoid.UnitData.Monoid.Additive, Data.Monoid.Additive.Sugar, Data.Monoid.Categorical, Data.Monoid.Reducer, Data.Monoid.Reducer.Char, Data.Monoid.Lexical.SourcePosition, Data.Monoid.Lexical.UTF8.Decoder, Data.Monoid.Reducer.With, Data.Monoid.Generator, Data.Monoid.Reducer.Sugar, Data.Monoid.Lexical.Words, Data.Monoid.Ord, Data.Monoid.Monad, Data.Monoid.Applicative, Data.Monoid.Map, Data.Monoid.IntMap, Data.Monoid.Self, Data.Monoid.Generator.Combinators, Data.Monoid.Unit, Data.Monoid.Multiplicative, Data.Monoid.Multiplicative.Transformers, Data.Monoid.Multiplicative.Sugar, Data.Group, Data.Group.SugarData.Monoid.Additive, Data.Monoid.Additive.Sugar, Data.Monoid.Reducer, Data.Monoid.Reducer.Char, Data.Monoid.Lexical.SourcePosition, Data.Monoid.Lexical.UTF8.Decoder, Data.Monoid.Reducer.With, Data.Monoid.Generator, Data.Monoid.Reducer.Sugar, Data.Monoid.Lexical.Words, Data.Monoid.Monad, Data.Monoid.Applicative, Data.Monoid.Self, Data.Monoid.Generator.Combinators, Data.Monoid.Multiplicative, Data.Monoid.Multiplicative.Transformers, Data.Monoid.Multiplicative.Sugar, Data.Group, Data.Group.Sugar, Data.Monoid.UnitData.Monoid.Additive, Data.Monoid.Additive.Sugar, Data.Monoid.Reducer, Data.Monoid.Reducer.Char, Data.Monoid.Lexical.SourcePosition, Data.Monoid.Lexical.UTF8.Decoder, Data.Monoid.Reducer.With, Data.Monoid.Generator, Data.Monoid.Reducer.Sugar, Data.Monoid.Lexical.Words, Data.Monoid.Monad, Data.Monoid.Applicative, Data.Monoid.Self, Data.Monoid.Generator.Combinators, Data.Monoid.Unit, Data.Monoid.Multiplicative, Data.Monoid.Multiplicative.Transformers, Data.Monoid.Multiplicative.Sugar, Data.Group, Data.Group.SugarData.Monoid.Additive, Data.Monoid.Additive.Sugar, Data.Monoid.Reducer, Data.Monoid.Reducer.Char, Data.Monoid.Lexical.SourcePosition, Data.Monoid.Lexical.UTF8.Decoder, Data.Monoid.Reducer.With, Data.Monoid.Generator, Data.Monoid.Reducer.Sugar, Data.Monoid.Lexical.Words, Data.Monoid.Monad, Data.Monoid.Applicative, Data.Monoid.Self, Data.Monoid.Generator.Combinators, Data.Monoid.Multiplicative, Data.Monoid.Multiplicative.Transformers, Data.Monoid.Multiplicative.Sugar, Data.Group, Data.Group.Sugar, Data.Monoid.UnitData.Monoid.Additive, Data.Monoid.Additive.Sugar, Data.Monoid.Reducer, Data.Monoid.Reducer.Char, Data.Monoid.Lexical.SourcePosition, Data.Monoid.Lexical.UTF8.Decoder, Data.Monoid.Reducer.With, Data.Monoid.Generator, Data.Monoid.Reducer.Sugar, Data.Monoid.Lexical.Words, Data.Monoid.Monad, Data.Monoid.Applicative, Data.Monoid.Self, Data.Monoid.Generator.Combinators, Data.Monoid.Unit, Data.Monoid.Multiplicative, Data.Monoid.Multiplicative.Transformers, Data.Monoid.Multiplicative.Sugar, Data.Group, Data.Group.SugarData.Monoid.Additive, Data.Monoid.Additive.Sugar, Data.Monoid.Reducer, Data.Monoid.Reducer.Char, Data.Monoid.Lexical.SourcePosition, Data.Monoid.Lexical.UTF8.Decoder, Data.Monoid.Reducer.With, Data.Monoid.Generator, Data.Monoid.Reducer.Sugar, Data.Monoid.Lexical.Words, Data.Monoid.Monad, Data.Monoid.Applicative, Data.Monoid.Self, Data.Monoid.Generator.Combinators, Data.Monoid.Multiplicative, Data.Monoid.Multiplicative.Transformers, Data.Monoid.Multiplicative.Sugar, Data.Group, Data.Group.Sugar, Data.Monoid.UnitData.Monoid.Additive, Data.Monoid.Additive.Sugar, Data.Monoid.Reducer, Data.Monoid.Reducer.Char, Data.Monoid.Lexical.SourcePosition, Data.Monoid.Lexical.UTF8.Decoder, Data.Monoid.Reducer.With, Data.Monoid.Generator, Data.Monoid.Reducer.Sugar, Data.Monoid.Lexical.Words, Data.Monoid.Monad, Data.Monoid.Applicative, Data.Monoid.Self, Data.Monoid.Generator.Combinators, Data.Monoid.Unit, Data.Monoid.Multiplicative, Data.Monoid.Multiplicative.Transformers, Data.Monoid.Multiplicative.Sugar, Data.Group, Data.Group.SugarData.Monoid.Additive, Data.Monoid.Additive.Sugar, Data.Monoid.Reducer, Data.Monoid.Reducer.Char, Data.Monoid.Lexical.SourcePosition, Data.Monoid.Lexical.UTF8.Decoder, Data.Monoid.Reducer.With, Data.Monoid.Generator, Data.Monoid.Reducer.Sugar, Data.Monoid.Lexical.Words, Data.Monoid.Monad, Data.Monoid.Applicative, Data.Monoid.Self, Data.Monoid.Generator.Combinators, Data.Monoid.Multiplicative, Data.Monoid.Multiplicative.Transformers, Data.Monoid.Multiplicative.Sugar, Data.Group, Data.Group.Sugar, Data.Monoid.UnitData.Monoid.Additive, Data.Monoid.Additive.Sugar, Data.Monoid.Reducer, Data.Monoid.Reducer.Char, Data.Monoid.Lexical.SourcePosition, Data.Monoid.Lexical.UTF8.Decoder, Data.Monoid.Reducer.With, Data.Monoid.Generator, Data.Monoid.Reducer.Sugar, Data.Monoid.Lexical.Words, Data.Monoid.Monad, Data.Monoid.Applicative, Data.Monoid.Self, Data.Monoid.Generator.Combinators, Data.Monoid.Unit, Data.Monoid.Multiplicative, Data.Monoid.Multiplicative.Transformers, Data.Monoid.Multiplicative.Sugar, Data.Group, Data.Group.Sugar
-infixl 6 `minus`
-
-class Monoid a => Group a where
-
- gnegate :: a -> a
-
-
- minus :: a -> a -> a
- a `minus` b = a `plus` gnegate b
-
-instance Num a => Group (Sum a) where
- gnegate = Sum . negate . getSum
- Sum a `minus` Sum b = Sum (a b)
-
-instance Fractional a => Group (Product a) where
- gnegate = Product . negate . getProduct
- Product a `minus` Product b = Product (a / b)
-
-instance Group a => Group (Dual a) where
- gnegate = Dual . gnegate . getDual
-
-instance Group a => Group (Self a) where
- gnegate = Self . gnegate . getSelf
- Self a `minus` Self b = Self (a `minus` b)
+import Data.Monoid.FromString
+
+infixl 6 `minus`
+
+class Monoid a => Group a where
+
+ gnegate :: a -> a
+
+
+ minus :: a -> a -> a
+ a `minus` b = a `plus` gnegate b
+
+instance Num a => Group (Sum a) where
+ gnegate = Sum . negate . getSum
+ Sum a `minus` Sum b = Sum (a b)
+
+instance Fractional a => Group (Product a) where
+ gnegate = Product . negate . getProduct
+ Product a `minus` Product b = Product (a / b)
+
+instance Group a => Group (Dual a) where
+ gnegate = Dual . gnegate . getDual
+
+instance Group a => Group (Self a) where
+ gnegate = Self . gnegate . getSelf
+ Self a `minus` Self b = Self (a `minus` b)
+
+instance Group a => Group (FromString a) where
+ gnegate = FromString . gnegate . getFromString
+ FromString a `minus` FromString b = FromString (a `minus` b)
hunk ./dist/doc/html/monoids/src/Data-Monoid-Multiplicative.html 18
-import Data.Monoid.Generator
-import Data.Foldable
-
-class MultiplicativeMonoid m where
- one :: m
- times :: m -> m -> m
-
-class (MultiplicativeMonoid m, Monoid m) => Seminearring m
-
-instance Monoid m => MultiplicativeMonoid [m] where
- one = [mempty]
- xss `times` yss = [ xs `mappend` ys | xs <- xss, ys <- yss ]
-
-instance Monoid m => Seminearring [m]
-
-instance (Measured v m, Monoid m) => MultiplicativeMonoid (FingerTree v m) where
- one = singleton mempty
- xss `times` yss = getSelf . reduce . fmap (\xs -> fmap' (xs `mappend`) yss) $ toList xss
-
-instance (Measured v m, Monoid m) => Seminearring (FingerTree v m)
-
-instance MultiplicativeMonoid m => MultiplicativeMonoid (Self m) where
- one = Self one
- Self a `times` Self b = Self (a `times` b)
+import Data.Monoid.FromString
+import Data.Monoid.Generator
+import Data.Foldable
+
+class MultiplicativeMonoid m where
+ one :: m
+ times :: m -> m -> m
+
+class (MultiplicativeMonoid m, Monoid m) => Seminearring m
+
+instance Monoid m => MultiplicativeMonoid [m] where
+ one = [mempty]
+ xss `times` yss = [ xs `mappend` ys | xs <- xss, ys <- yss ]
+
+instance Monoid m => Seminearring [m]
+
+instance (Measured v m, Monoid m) => MultiplicativeMonoid (FingerTree v m) where
+ one = singleton mempty
+ xss `times` yss = getSelf . reduce . fmap (\xs -> fmap' (xs `mappend`) yss) $ toList xss
+
+instance (Measured v m, Monoid m) => Seminearring (FingerTree v m)
+
+instance MultiplicativeMonoid m => MultiplicativeMonoid (Self m) where
+ one = Self one
+ Self a `times` Self b = Self (a `times` b)
+
+instance MultiplicativeMonoid m => MultiplicativeMonoid (FromString m) where
+ one = FromString one
+ FromString a `times` FromString b = FromString (a `times` b)
}