Safe Haskell | Safe-Inferred |
---|---|
Language | Haskell2010 |
Data.Semigroup.Compat
Description
This backports the modern Data.Semigroup interface back to
base-4.9
/GHC 8.0.
Synopsis
- class Semigroup a where
- stimesMonoid :: (Integral b, Monoid a) => b -> a -> a
- stimesIdempotent :: Integral b => b -> a -> a
- stimesIdempotentMonoid :: (Integral b, Monoid a) => b -> a -> a
- mtimesDefault :: (Integral b, Monoid a) => b -> a -> a
- newtype Min a = Min {
- getMin :: a
- newtype Max a = Max {
- getMax :: a
- newtype First a = First {
- getFirst :: a
- newtype Last a = Last {
- getLast :: a
- newtype WrappedMonoid m = WrapMonoid {
- unwrapMonoid :: m
- newtype Dual a = Dual {
- getDual :: a
- newtype Endo a = Endo {
- appEndo :: a -> a
- newtype All = All {}
- newtype Any = Any {}
- newtype Sum a = Sum {
- getSum :: a
- newtype Product a = Product {
- getProduct :: a
- diff :: Semigroup m => m -> Endo m
- cycle1 :: Semigroup m => m -> m
- data Arg a b = Arg a b
- type ArgMin a b = Min (Arg a b)
- type ArgMax a b = Max (Arg a b)
Documentation
Instances
stimesMonoid :: (Integral b, Monoid a) => b -> a -> a #
stimesIdempotent :: Integral b => b -> a -> a #
stimesIdempotentMonoid :: (Integral b, Monoid a) => b -> a -> a #
mtimesDefault :: (Integral b, Monoid a) => b -> a -> a #
Semigroups
Instances
MonadFix Min | |||||
Defined in Data.Semigroup | |||||
Foldable Min | |||||
Defined in Data.Semigroup Methods fold :: Monoid m => Min m -> m # foldMap :: Monoid m => (a -> m) -> Min a -> m # foldMap' :: Monoid m => (a -> m) -> Min a -> m # foldr :: (a -> b -> b) -> b -> Min a -> b # foldr' :: (a -> b -> b) -> b -> Min a -> b # foldl :: (b -> a -> b) -> b -> Min a -> b # foldl' :: (b -> a -> b) -> b -> Min a -> b # foldr1 :: (a -> a -> a) -> Min a -> a # foldl1 :: (a -> a -> a) -> Min a -> a # elem :: Eq a => a -> Min a -> Bool # maximum :: Ord a => Min a -> a # | |||||
Foldable1 Min | |||||
Defined in Data.Foldable1 Methods fold1 :: Semigroup m => Min m -> m # foldMap1 :: Semigroup m => (a -> m) -> Min a -> m # foldMap1' :: Semigroup m => (a -> m) -> Min a -> m # toNonEmpty :: Min a -> NonEmpty a # maximum :: Ord a => Min a -> a # minimum :: Ord a => Min a -> a # foldrMap1 :: (a -> b) -> (a -> b -> b) -> Min a -> b # foldlMap1' :: (a -> b) -> (b -> a -> b) -> Min a -> b # foldlMap1 :: (a -> b) -> (b -> a -> b) -> Min a -> b # foldrMap1' :: (a -> b) -> (a -> b -> b) -> Min a -> b # | |||||
Traversable Min | |||||
Applicative Min | |||||
Functor Min | |||||
Monad Min | |||||
Generic1 Min | |||||
Defined in Data.Semigroup Associated Types
| |||||
Data a => Data (Min a) | |||||
Defined in Data.Semigroup Methods gfoldl :: (forall d b. Data d => c (d -> b) -> d -> c b) -> (forall g. g -> c g) -> Min a -> c (Min a) gunfold :: (forall b r. Data b => c (b -> r) -> c r) -> (forall r. r -> c r) -> Constr -> c (Min a) dataTypeOf :: Min a -> DataType dataCast1 :: Typeable t => (forall d. Data d => c (t d)) -> Maybe (c (Min a)) dataCast2 :: Typeable t => (forall d e. (Data d, Data e) => c (t d e)) -> Maybe (c (Min a)) gmapT :: (forall b. Data b => b -> b) -> Min a -> Min a gmapQl :: (r -> r' -> r) -> r -> (forall d. Data d => d -> r') -> Min a -> r gmapQr :: forall r r'. (r' -> r -> r) -> r -> (forall d. Data d => d -> r') -> Min a -> r gmapQ :: (forall d. Data d => d -> u) -> Min a -> [u] gmapQi :: Int -> (forall d. Data d => d -> u) -> Min a -> u gmapM :: Monad m => (forall d. Data d => d -> m d) -> Min a -> m (Min a) gmapMp :: MonadPlus m => (forall d. Data d => d -> m d) -> Min a -> m (Min a) gmapMo :: MonadPlus m => (forall d. Data d => d -> m d) -> Min a -> m (Min a) | |||||
(Ord a, Bounded a) => Monoid (Min a) | |||||
Ord a => Semigroup (Min a) | |||||
Bounded a => Bounded (Min a) | |||||
Enum a => Enum (Min a) | |||||
Generic (Min a) | |||||
Defined in Data.Semigroup Associated Types
| |||||
Num a => Num (Min a) | |||||
Read a => Read (Min a) | |||||
Show a => Show (Min a) | |||||
Eq a => Eq (Min a) | |||||
Ord a => Ord (Min a) | |||||
type Rep1 Min | |||||
Defined in Data.Semigroup | |||||
type Rep (Min a) | |||||
Defined in Data.Semigroup |
Instances
MonadFix Max | |||||
Defined in Data.Semigroup | |||||
Foldable Max | |||||
Defined in Data.Semigroup Methods fold :: Monoid m => Max m -> m # foldMap :: Monoid m => (a -> m) -> Max a -> m # foldMap' :: Monoid m => (a -> m) -> Max a -> m # foldr :: (a -> b -> b) -> b -> Max a -> b # foldr' :: (a -> b -> b) -> b -> Max a -> b # foldl :: (b -> a -> b) -> b -> Max a -> b # foldl' :: (b -> a -> b) -> b -> Max a -> b # foldr1 :: (a -> a -> a) -> Max a -> a # foldl1 :: (a -> a -> a) -> Max a -> a # elem :: Eq a => a -> Max a -> Bool # maximum :: Ord a => Max a -> a # | |||||
Foldable1 Max | |||||
Defined in Data.Foldable1 Methods fold1 :: Semigroup m => Max m -> m # foldMap1 :: Semigroup m => (a -> m) -> Max a -> m # foldMap1' :: Semigroup m => (a -> m) -> Max a -> m # toNonEmpty :: Max a -> NonEmpty a # maximum :: Ord a => Max a -> a # minimum :: Ord a => Max a -> a # foldrMap1 :: (a -> b) -> (a -> b -> b) -> Max a -> b # foldlMap1' :: (a -> b) -> (b -> a -> b) -> Max a -> b # foldlMap1 :: (a -> b) -> (b -> a -> b) -> Max a -> b # foldrMap1' :: (a -> b) -> (a -> b -> b) -> Max a -> b # | |||||
Traversable Max | |||||
Applicative Max | |||||
Functor Max | |||||
Monad Max | |||||
Generic1 Max | |||||
Defined in Data.Semigroup Associated Types
| |||||
Data a => Data (Max a) | |||||
Defined in Data.Semigroup Methods gfoldl :: (forall d b. Data d => c (d -> b) -> d -> c b) -> (forall g. g -> c g) -> Max a -> c (Max a) gunfold :: (forall b r. Data b => c (b -> r) -> c r) -> (forall r. r -> c r) -> Constr -> c (Max a) dataTypeOf :: Max a -> DataType dataCast1 :: Typeable t => (forall d. Data d => c (t d)) -> Maybe (c (Max a)) dataCast2 :: Typeable t => (forall d e. (Data d, Data e) => c (t d e)) -> Maybe (c (Max a)) gmapT :: (forall b. Data b => b -> b) -> Max a -> Max a gmapQl :: (r -> r' -> r) -> r -> (forall d. Data d => d -> r') -> Max a -> r gmapQr :: forall r r'. (r' -> r -> r) -> r -> (forall d. Data d => d -> r') -> Max a -> r gmapQ :: (forall d. Data d => d -> u) -> Max a -> [u] gmapQi :: Int -> (forall d. Data d => d -> u) -> Max a -> u gmapM :: Monad m => (forall d. Data d => d -> m d) -> Max a -> m (Max a) gmapMp :: MonadPlus m => (forall d. Data d => d -> m d) -> Max a -> m (Max a) gmapMo :: MonadPlus m => (forall d. Data d => d -> m d) -> Max a -> m (Max a) | |||||
(Ord a, Bounded a) => Monoid (Max a) | |||||
Ord a => Semigroup (Max a) | |||||
Bounded a => Bounded (Max a) | |||||
Enum a => Enum (Max a) | |||||
Generic (Max a) | |||||
Defined in Data.Semigroup Associated Types
| |||||
Num a => Num (Max a) | |||||
Read a => Read (Max a) | |||||
Show a => Show (Max a) | |||||
Eq a => Eq (Max a) | |||||
Ord a => Ord (Max a) | |||||
type Rep1 Max | |||||
Defined in Data.Semigroup | |||||
type Rep (Max a) | |||||
Defined in Data.Semigroup |
Instances
MonadFix First | |||||
Defined in Data.Semigroup | |||||
Foldable First | |||||
Defined in Data.Semigroup Methods fold :: Monoid m => First m -> m # foldMap :: Monoid m => (a -> m) -> First a -> m # foldMap' :: Monoid m => (a -> m) -> First a -> m # foldr :: (a -> b -> b) -> b -> First a -> b # foldr' :: (a -> b -> b) -> b -> First a -> b # foldl :: (b -> a -> b) -> b -> First a -> b # foldl' :: (b -> a -> b) -> b -> First a -> b # foldr1 :: (a -> a -> a) -> First a -> a # foldl1 :: (a -> a -> a) -> First a -> a # elem :: Eq a => a -> First a -> Bool # maximum :: Ord a => First a -> a # minimum :: Ord a => First a -> a # | |||||
Foldable1 First | |||||
Defined in Data.Foldable1 Methods fold1 :: Semigroup m => First m -> m # foldMap1 :: Semigroup m => (a -> m) -> First a -> m # foldMap1' :: Semigroup m => (a -> m) -> First a -> m # toNonEmpty :: First a -> NonEmpty a # maximum :: Ord a => First a -> a # minimum :: Ord a => First a -> a # foldrMap1 :: (a -> b) -> (a -> b -> b) -> First a -> b # foldlMap1' :: (a -> b) -> (b -> a -> b) -> First a -> b # foldlMap1 :: (a -> b) -> (b -> a -> b) -> First a -> b # foldrMap1' :: (a -> b) -> (a -> b -> b) -> First a -> b # | |||||
Traversable First | |||||
Applicative First | |||||
Functor First | |||||
Monad First | |||||
Generic1 First | |||||
Defined in Data.Semigroup Associated Types
| |||||
Data a => Data (First a) | |||||
Defined in Data.Semigroup Methods gfoldl :: (forall d b. Data d => c (d -> b) -> d -> c b) -> (forall g. g -> c g) -> First a -> c (First a) gunfold :: (forall b r. Data b => c (b -> r) -> c r) -> (forall r. r -> c r) -> Constr -> c (First a) dataTypeOf :: First a -> DataType dataCast1 :: Typeable t => (forall d. Data d => c (t d)) -> Maybe (c (First a)) dataCast2 :: Typeable t => (forall d e. (Data d, Data e) => c (t d e)) -> Maybe (c (First a)) gmapT :: (forall b. Data b => b -> b) -> First a -> First a gmapQl :: (r -> r' -> r) -> r -> (forall d. Data d => d -> r') -> First a -> r gmapQr :: forall r r'. (r' -> r -> r) -> r -> (forall d. Data d => d -> r') -> First a -> r gmapQ :: (forall d. Data d => d -> u) -> First a -> [u] gmapQi :: Int -> (forall d. Data d => d -> u) -> First a -> u gmapM :: Monad m => (forall d. Data d => d -> m d) -> First a -> m (First a) gmapMp :: MonadPlus m => (forall d. Data d => d -> m d) -> First a -> m (First a) gmapMo :: MonadPlus m => (forall d. Data d => d -> m d) -> First a -> m (First a) | |||||
Semigroup (First a) | |||||
Bounded a => Bounded (First a) | |||||
Enum a => Enum (First a) | |||||
Generic (First a) | |||||
Defined in Data.Semigroup Associated Types
| |||||
Read a => Read (First a) | |||||
Show a => Show (First a) | |||||
Eq a => Eq (First a) | |||||
Ord a => Ord (First a) | |||||
type Rep1 First | |||||
Defined in Data.Semigroup | |||||
type Rep (First a) | |||||
Defined in Data.Semigroup |
Instances
MonadFix Last | |||||
Defined in Data.Semigroup | |||||
Foldable Last | |||||
Defined in Data.Semigroup Methods fold :: Monoid m => Last m -> m # foldMap :: Monoid m => (a -> m) -> Last a -> m # foldMap' :: Monoid m => (a -> m) -> Last a -> m # foldr :: (a -> b -> b) -> b -> Last a -> b # foldr' :: (a -> b -> b) -> b -> Last a -> b # foldl :: (b -> a -> b) -> b -> Last a -> b # foldl' :: (b -> a -> b) -> b -> Last a -> b # foldr1 :: (a -> a -> a) -> Last a -> a # foldl1 :: (a -> a -> a) -> Last a -> a # elem :: Eq a => a -> Last a -> Bool # maximum :: Ord a => Last a -> a # | |||||
Foldable1 Last | |||||
Defined in Data.Foldable1 Methods fold1 :: Semigroup m => Last m -> m # foldMap1 :: Semigroup m => (a -> m) -> Last a -> m # foldMap1' :: Semigroup m => (a -> m) -> Last a -> m # toNonEmpty :: Last a -> NonEmpty a # maximum :: Ord a => Last a -> a # minimum :: Ord a => Last a -> a # foldrMap1 :: (a -> b) -> (a -> b -> b) -> Last a -> b # foldlMap1' :: (a -> b) -> (b -> a -> b) -> Last a -> b # foldlMap1 :: (a -> b) -> (b -> a -> b) -> Last a -> b # foldrMap1' :: (a -> b) -> (a -> b -> b) -> Last a -> b # | |||||
Traversable Last | |||||
Applicative Last | |||||
Functor Last | |||||
Monad Last | |||||
Generic1 Last | |||||
Defined in Data.Semigroup Associated Types
| |||||
Data a => Data (Last a) | |||||
Defined in Data.Semigroup Methods gfoldl :: (forall d b. Data d => c (d -> b) -> d -> c b) -> (forall g. g -> c g) -> Last a -> c (Last a) gunfold :: (forall b r. Data b => c (b -> r) -> c r) -> (forall r. r -> c r) -> Constr -> c (Last a) dataTypeOf :: Last a -> DataType dataCast1 :: Typeable t => (forall d. Data d => c (t d)) -> Maybe (c (Last a)) dataCast2 :: Typeable t => (forall d e. (Data d, Data e) => c (t d e)) -> Maybe (c (Last a)) gmapT :: (forall b. Data b => b -> b) -> Last a -> Last a gmapQl :: (r -> r' -> r) -> r -> (forall d. Data d => d -> r') -> Last a -> r gmapQr :: forall r r'. (r' -> r -> r) -> r -> (forall d. Data d => d -> r') -> Last a -> r gmapQ :: (forall d. Data d => d -> u) -> Last a -> [u] gmapQi :: Int -> (forall d. Data d => d -> u) -> Last a -> u gmapM :: Monad m => (forall d. Data d => d -> m d) -> Last a -> m (Last a) gmapMp :: MonadPlus m => (forall d. Data d => d -> m d) -> Last a -> m (Last a) gmapMo :: MonadPlus m => (forall d. Data d => d -> m d) -> Last a -> m (Last a) | |||||
Semigroup (Last a) | |||||
Bounded a => Bounded (Last a) | |||||
Enum a => Enum (Last a) | |||||
Defined in Data.Semigroup | |||||
Generic (Last a) | |||||
Defined in Data.Semigroup Associated Types
| |||||
Read a => Read (Last a) | |||||
Show a => Show (Last a) | |||||
Eq a => Eq (Last a) | |||||
Ord a => Ord (Last a) | |||||
type Rep1 Last | |||||
Defined in Data.Semigroup | |||||
type Rep (Last a) | |||||
Defined in Data.Semigroup |
newtype WrappedMonoid m #
Constructors
WrapMonoid | |
Fields
|
Instances
Generic1 WrappedMonoid | |||||
Defined in Data.Semigroup Associated Types
Methods from1 :: WrappedMonoid a -> Rep1 WrappedMonoid a to1 :: Rep1 WrappedMonoid a -> WrappedMonoid a | |||||
Data m => Data (WrappedMonoid m) | |||||
Defined in Data.Semigroup Methods gfoldl :: (forall d b. Data d => c (d -> b) -> d -> c b) -> (forall g. g -> c g) -> WrappedMonoid m -> c (WrappedMonoid m) gunfold :: (forall b r. Data b => c (b -> r) -> c r) -> (forall r. r -> c r) -> Constr -> c (WrappedMonoid m) toConstr :: WrappedMonoid m -> Constr dataTypeOf :: WrappedMonoid m -> DataType dataCast1 :: Typeable t => (forall d. Data d => c (t d)) -> Maybe (c (WrappedMonoid m)) dataCast2 :: Typeable t => (forall d e. (Data d, Data e) => c (t d e)) -> Maybe (c (WrappedMonoid m)) gmapT :: (forall b. Data b => b -> b) -> WrappedMonoid m -> WrappedMonoid m gmapQl :: (r -> r' -> r) -> r -> (forall d. Data d => d -> r') -> WrappedMonoid m -> r gmapQr :: forall r r'. (r' -> r -> r) -> r -> (forall d. Data d => d -> r') -> WrappedMonoid m -> r gmapQ :: (forall d. Data d => d -> u) -> WrappedMonoid m -> [u] gmapQi :: Int -> (forall d. Data d => d -> u) -> WrappedMonoid m -> u gmapM :: Monad m0 => (forall d. Data d => d -> m0 d) -> WrappedMonoid m -> m0 (WrappedMonoid m) gmapMp :: MonadPlus m0 => (forall d. Data d => d -> m0 d) -> WrappedMonoid m -> m0 (WrappedMonoid m) gmapMo :: MonadPlus m0 => (forall d. Data d => d -> m0 d) -> WrappedMonoid m -> m0 (WrappedMonoid m) | |||||
Monoid m => Monoid (WrappedMonoid m) | |||||
Defined in Data.Semigroup Methods mempty :: WrappedMonoid m # mappend :: WrappedMonoid m -> WrappedMonoid m -> WrappedMonoid m # mconcat :: [WrappedMonoid m] -> WrappedMonoid m # | |||||
Monoid m => Semigroup (WrappedMonoid m) | |||||
Defined in Data.Semigroup Methods (<>) :: WrappedMonoid m -> WrappedMonoid m -> WrappedMonoid m # sconcat :: NonEmpty (WrappedMonoid m) -> WrappedMonoid m # stimes :: Integral b => b -> WrappedMonoid m -> WrappedMonoid m # | |||||
Bounded m => Bounded (WrappedMonoid m) | |||||
Defined in Data.Semigroup | |||||
Enum a => Enum (WrappedMonoid a) | |||||
Defined in Data.Semigroup Methods succ :: WrappedMonoid a -> WrappedMonoid a # pred :: WrappedMonoid a -> WrappedMonoid a # toEnum :: Int -> WrappedMonoid a # fromEnum :: WrappedMonoid a -> Int # enumFrom :: WrappedMonoid a -> [WrappedMonoid a] # enumFromThen :: WrappedMonoid a -> WrappedMonoid a -> [WrappedMonoid a] # enumFromTo :: WrappedMonoid a -> WrappedMonoid a -> [WrappedMonoid a] # enumFromThenTo :: WrappedMonoid a -> WrappedMonoid a -> WrappedMonoid a -> [WrappedMonoid a] # | |||||
Generic (WrappedMonoid m) | |||||
Defined in Data.Semigroup Associated Types
Methods from :: WrappedMonoid m -> Rep (WrappedMonoid m) x to :: Rep (WrappedMonoid m) x -> WrappedMonoid m | |||||
Read m => Read (WrappedMonoid m) | |||||
Defined in Data.Semigroup Methods readsPrec :: Int -> ReadS (WrappedMonoid m) # readList :: ReadS [WrappedMonoid m] # readPrec :: ReadPrec (WrappedMonoid m) # readListPrec :: ReadPrec [WrappedMonoid m] # | |||||
Show m => Show (WrappedMonoid m) | |||||
Defined in Data.Semigroup Methods showsPrec :: Int -> WrappedMonoid m -> ShowS # show :: WrappedMonoid m -> String # showList :: [WrappedMonoid m] -> ShowS # | |||||
Eq m => Eq (WrappedMonoid m) | |||||
Defined in Data.Semigroup Methods (==) :: WrappedMonoid m -> WrappedMonoid m -> Bool # (/=) :: WrappedMonoid m -> WrappedMonoid m -> Bool # | |||||
Ord m => Ord (WrappedMonoid m) | |||||
Defined in Data.Semigroup Methods compare :: WrappedMonoid m -> WrappedMonoid m -> Ordering # (<) :: WrappedMonoid m -> WrappedMonoid m -> Bool # (<=) :: WrappedMonoid m -> WrappedMonoid m -> Bool # (>) :: WrappedMonoid m -> WrappedMonoid m -> Bool # (>=) :: WrappedMonoid m -> WrappedMonoid m -> Bool # max :: WrappedMonoid m -> WrappedMonoid m -> WrappedMonoid m # min :: WrappedMonoid m -> WrappedMonoid m -> WrappedMonoid m # | |||||
type Rep1 WrappedMonoid | |||||
Defined in Data.Semigroup type Rep1 WrappedMonoid = D1 ('MetaData "WrappedMonoid" "Data.Semigroup" "base" 'True) (C1 ('MetaCons "WrapMonoid" 'PrefixI 'True) (S1 ('MetaSel ('Just "unwrapMonoid") 'NoSourceUnpackedness 'NoSourceStrictness 'DecidedLazy) Par1)) | |||||
type Rep (WrappedMonoid m) | |||||
Defined in Data.Semigroup type Rep (WrappedMonoid m) = D1 ('MetaData "WrappedMonoid" "Data.Semigroup" "base" 'True) (C1 ('MetaCons "WrapMonoid" 'PrefixI 'True) (S1 ('MetaSel ('Just "unwrapMonoid") 'NoSourceUnpackedness 'NoSourceStrictness 'DecidedLazy) (Rec0 m))) |
Re-exported monoids from Data.Monoid
Instances
MonadFix Dual | |||||
Defined in Control.Monad.Fix | |||||
MonadZip Dual | |||||
Foldable Dual | |||||
Defined in Data.Foldable Methods fold :: Monoid m => Dual m -> m # foldMap :: Monoid m => (a -> m) -> Dual a -> m # foldMap' :: Monoid m => (a -> m) -> Dual a -> m # foldr :: (a -> b -> b) -> b -> Dual a -> b # foldr' :: (a -> b -> b) -> b -> Dual a -> b # foldl :: (b -> a -> b) -> b -> Dual a -> b # foldl' :: (b -> a -> b) -> b -> Dual a -> b # foldr1 :: (a -> a -> a) -> Dual a -> a # foldl1 :: (a -> a -> a) -> Dual a -> a # elem :: Eq a => a -> Dual a -> Bool # maximum :: Ord a => Dual a -> a # | |||||
Foldable1 Dual | |||||
Defined in Data.Foldable1 Methods fold1 :: Semigroup m => Dual m -> m # foldMap1 :: Semigroup m => (a -> m) -> Dual a -> m # foldMap1' :: Semigroup m => (a -> m) -> Dual a -> m # toNonEmpty :: Dual a -> NonEmpty a # maximum :: Ord a => Dual a -> a # minimum :: Ord a => Dual a -> a # foldrMap1 :: (a -> b) -> (a -> b -> b) -> Dual a -> b # foldlMap1' :: (a -> b) -> (b -> a -> b) -> Dual a -> b # foldlMap1 :: (a -> b) -> (b -> a -> b) -> Dual a -> b # foldrMap1' :: (a -> b) -> (a -> b -> b) -> Dual a -> b # | |||||
Traversable Dual | |||||
Applicative Dual | |||||
Functor Dual | |||||
Monad Dual | |||||
Generic1 Dual | |||||
Defined in Data.Semigroup.Internal Associated Types
| |||||
Data a => Data (Dual a) | |||||
Defined in Data.Data Methods gfoldl :: (forall d b. Data d => c (d -> b) -> d -> c b) -> (forall g. g -> c g) -> Dual a -> c (Dual a) gunfold :: (forall b r. Data b => c (b -> r) -> c r) -> (forall r. r -> c r) -> Constr -> c (Dual a) dataTypeOf :: Dual a -> DataType dataCast1 :: Typeable t => (forall d. Data d => c (t d)) -> Maybe (c (Dual a)) dataCast2 :: Typeable t => (forall d e. (Data d, Data e) => c (t d e)) -> Maybe (c (Dual a)) gmapT :: (forall b. Data b => b -> b) -> Dual a -> Dual a gmapQl :: (r -> r' -> r) -> r -> (forall d. Data d => d -> r') -> Dual a -> r gmapQr :: forall r r'. (r' -> r -> r) -> r -> (forall d. Data d => d -> r') -> Dual a -> r gmapQ :: (forall d. Data d => d -> u) -> Dual a -> [u] gmapQi :: Int -> (forall d. Data d => d -> u) -> Dual a -> u gmapM :: Monad m => (forall d. Data d => d -> m d) -> Dual a -> m (Dual a) gmapMp :: MonadPlus m => (forall d. Data d => d -> m d) -> Dual a -> m (Dual a) gmapMo :: MonadPlus m => (forall d. Data d => d -> m d) -> Dual a -> m (Dual a) | |||||
Monoid a => Monoid (Dual a) | |||||
Semigroup a => Semigroup (Dual a) | |||||
Bounded a => Bounded (Dual a) | |||||
Generic (Dual a) | |||||
Defined in Data.Semigroup.Internal Associated Types
| |||||
Read a => Read (Dual a) | |||||
Show a => Show (Dual a) | |||||
Eq a => Eq (Dual a) | |||||
Ord a => Ord (Dual a) | |||||
type Rep1 Dual | |||||
Defined in Data.Semigroup.Internal | |||||
type Rep (Dual a) | |||||
Defined in Data.Semigroup.Internal |
Instances
Monoid (Endo a) | |||||
Semigroup (Endo a) | |||||
Generic (Endo a) | |||||
Defined in Data.Semigroup.Internal Associated Types
| |||||
type Rep (Endo a) | |||||
Defined in Data.Semigroup.Internal |
Instances
Data All | |||||
Defined in Data.Data Methods gfoldl :: (forall d b. Data d => c (d -> b) -> d -> c b) -> (forall g. g -> c g) -> All -> c All gunfold :: (forall b r. Data b => c (b -> r) -> c r) -> (forall r. r -> c r) -> Constr -> c All dataTypeOf :: All -> DataType dataCast1 :: Typeable t => (forall d. Data d => c (t d)) -> Maybe (c All) dataCast2 :: Typeable t => (forall d e. (Data d, Data e) => c (t d e)) -> Maybe (c All) gmapT :: (forall b. Data b => b -> b) -> All -> All gmapQl :: (r -> r' -> r) -> r -> (forall d. Data d => d -> r') -> All -> r gmapQr :: forall r r'. (r' -> r -> r) -> r -> (forall d. Data d => d -> r') -> All -> r gmapQ :: (forall d. Data d => d -> u) -> All -> [u] gmapQi :: Int -> (forall d. Data d => d -> u) -> All -> u gmapM :: Monad m => (forall d. Data d => d -> m d) -> All -> m All gmapMp :: MonadPlus m => (forall d. Data d => d -> m d) -> All -> m All gmapMo :: MonadPlus m => (forall d. Data d => d -> m d) -> All -> m All | |||||
Monoid All | |||||
Semigroup All | |||||
Bounded All | |||||
Generic All | |||||
Defined in Data.Semigroup.Internal Associated Types
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Read All | |||||
Show All | |||||
Eq All | |||||
Ord All | |||||
type Rep All | |||||
Instances
Data Any | |||||
Defined in Data.Data Methods gfoldl :: (forall d b. Data d => c (d -> b) -> d -> c b) -> (forall g. g -> c g) -> Any -> c Any gunfold :: (forall b r. Data b => c (b -> r) -> c r) -> (forall r. r -> c r) -> Constr -> c Any dataTypeOf :: Any -> DataType dataCast1 :: Typeable t => (forall d. Data d => c (t d)) -> Maybe (c Any) dataCast2 :: Typeable t => (forall d e. (Data d, Data e) => c (t d e)) -> Maybe (c Any) gmapT :: (forall b. Data b => b -> b) -> Any -> Any gmapQl :: (r -> r' -> r) -> r -> (forall d. Data d => d -> r') -> Any -> r gmapQr :: forall r r'. (r' -> r -> r) -> r -> (forall d. Data d => d -> r') -> Any -> r gmapQ :: (forall d. Data d => d -> u) -> Any -> [u] gmapQi :: Int -> (forall d. Data d => d -> u) -> Any -> u gmapM :: Monad m => (forall d. Data d => d -> m d) -> Any -> m Any gmapMp :: MonadPlus m => (forall d. Data d => d -> m d) -> Any -> m Any gmapMo :: MonadPlus m => (forall d. Data d => d -> m d) -> Any -> m Any | |||||
Monoid Any | |||||
Semigroup Any | |||||
Bounded Any | |||||
Generic Any | |||||
Defined in Data.Semigroup.Internal Associated Types
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Read Any | |||||
Show Any | |||||
Eq Any | |||||
Ord Any | |||||
type Rep Any | |||||
Instances
MonadFix Sum | |||||
Defined in Control.Monad.Fix | |||||
MonadZip Sum | |||||
Foldable Sum | |||||
Defined in Data.Foldable Methods fold :: Monoid m => Sum m -> m # foldMap :: Monoid m => (a -> m) -> Sum a -> m # foldMap' :: Monoid m => (a -> m) -> Sum a -> m # foldr :: (a -> b -> b) -> b -> Sum a -> b # foldr' :: (a -> b -> b) -> b -> Sum a -> b # foldl :: (b -> a -> b) -> b -> Sum a -> b # foldl' :: (b -> a -> b) -> b -> Sum a -> b # foldr1 :: (a -> a -> a) -> Sum a -> a # foldl1 :: (a -> a -> a) -> Sum a -> a # elem :: Eq a => a -> Sum a -> Bool # maximum :: Ord a => Sum a -> a # | |||||
Foldable1 Sum | |||||
Defined in Data.Foldable1 Methods fold1 :: Semigroup m => Sum m -> m # foldMap1 :: Semigroup m => (a -> m) -> Sum a -> m # foldMap1' :: Semigroup m => (a -> m) -> Sum a -> m # toNonEmpty :: Sum a -> NonEmpty a # maximum :: Ord a => Sum a -> a # minimum :: Ord a => Sum a -> a # foldrMap1 :: (a -> b) -> (a -> b -> b) -> Sum a -> b # foldlMap1' :: (a -> b) -> (b -> a -> b) -> Sum a -> b # foldlMap1 :: (a -> b) -> (b -> a -> b) -> Sum a -> b # foldrMap1' :: (a -> b) -> (a -> b -> b) -> Sum a -> b # | |||||
Traversable Sum | |||||
Applicative Sum | |||||
Functor Sum | |||||
Monad Sum | |||||
Generic1 Sum | |||||
Defined in Data.Semigroup.Internal Associated Types
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Data a => Data (Sum a) | |||||
Defined in Data.Data Methods gfoldl :: (forall d b. Data d => c (d -> b) -> d -> c b) -> (forall g. g -> c g) -> Sum a -> c (Sum a) gunfold :: (forall b r. Data b => c (b -> r) -> c r) -> (forall r. r -> c r) -> Constr -> c (Sum a) dataTypeOf :: Sum a -> DataType dataCast1 :: Typeable t => (forall d. Data d => c (t d)) -> Maybe (c (Sum a)) dataCast2 :: Typeable t => (forall d e. (Data d, Data e) => c (t d e)) -> Maybe (c (Sum a)) gmapT :: (forall b. Data b => b -> b) -> Sum a -> Sum a gmapQl :: (r -> r' -> r) -> r -> (forall d. Data d => d -> r') -> Sum a -> r gmapQr :: forall r r'. (r' -> r -> r) -> r -> (forall d. Data d => d -> r') -> Sum a -> r gmapQ :: (forall d. Data d => d -> u) -> Sum a -> [u] gmapQi :: Int -> (forall d. Data d => d -> u) -> Sum a -> u gmapM :: Monad m => (forall d. Data d => d -> m d) -> Sum a -> m (Sum a) gmapMp :: MonadPlus m => (forall d. Data d => d -> m d) -> Sum a -> m (Sum a) gmapMo :: MonadPlus m => (forall d. Data d => d -> m d) -> Sum a -> m (Sum a) | |||||
Num a => Monoid (Sum a) | |||||
Num a => Semigroup (Sum a) | |||||
Bounded a => Bounded (Sum a) | |||||
Generic (Sum a) | |||||
Defined in Data.Semigroup.Internal Associated Types
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Num a => Num (Sum a) | |||||
Read a => Read (Sum a) | |||||
Show a => Show (Sum a) | |||||
Eq a => Eq (Sum a) | |||||
Ord a => Ord (Sum a) | |||||
type Rep1 Sum | |||||
Defined in Data.Semigroup.Internal | |||||
type Rep (Sum a) | |||||
Defined in Data.Semigroup.Internal |
Constructors
Product | |
Fields
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Instances
MonadFix Product | |||||
Defined in Control.Monad.Fix | |||||
MonadZip Product | |||||
Foldable Product | |||||
Defined in Data.Foldable Methods fold :: Monoid m => Product m -> m # foldMap :: Monoid m => (a -> m) -> Product a -> m # foldMap' :: Monoid m => (a -> m) -> Product a -> m # foldr :: (a -> b -> b) -> b -> Product a -> b # foldr' :: (a -> b -> b) -> b -> Product a -> b # foldl :: (b -> a -> b) -> b -> Product a -> b # foldl' :: (b -> a -> b) -> b -> Product a -> b # foldr1 :: (a -> a -> a) -> Product a -> a # foldl1 :: (a -> a -> a) -> Product a -> a # elem :: Eq a => a -> Product a -> Bool # maximum :: Ord a => Product a -> a # minimum :: Ord a => Product a -> a # | |||||
Foldable1 Product | |||||
Defined in Data.Foldable1 Methods fold1 :: Semigroup m => Product m -> m # foldMap1 :: Semigroup m => (a -> m) -> Product a -> m # foldMap1' :: Semigroup m => (a -> m) -> Product a -> m # toNonEmpty :: Product a -> NonEmpty a # maximum :: Ord a => Product a -> a # minimum :: Ord a => Product a -> a # foldrMap1 :: (a -> b) -> (a -> b -> b) -> Product a -> b # foldlMap1' :: (a -> b) -> (b -> a -> b) -> Product a -> b # foldlMap1 :: (a -> b) -> (b -> a -> b) -> Product a -> b # foldrMap1' :: (a -> b) -> (a -> b -> b) -> Product a -> b # | |||||
Traversable Product | |||||
Applicative Product | |||||
Functor Product | |||||
Monad Product | |||||
Generic1 Product | |||||
Defined in Data.Semigroup.Internal Associated Types
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Data a => Data (Product a) | |||||
Defined in Data.Data Methods gfoldl :: (forall d b. Data d => c (d -> b) -> d -> c b) -> (forall g. g -> c g) -> Product a -> c (Product a) gunfold :: (forall b r. Data b => c (b -> r) -> c r) -> (forall r. r -> c r) -> Constr -> c (Product a) toConstr :: Product a -> Constr dataTypeOf :: Product a -> DataType dataCast1 :: Typeable t => (forall d. Data d => c (t d)) -> Maybe (c (Product a)) dataCast2 :: Typeable t => (forall d e. (Data d, Data e) => c (t d e)) -> Maybe (c (Product a)) gmapT :: (forall b. Data b => b -> b) -> Product a -> Product a gmapQl :: (r -> r' -> r) -> r -> (forall d. Data d => d -> r') -> Product a -> r gmapQr :: forall r r'. (r' -> r -> r) -> r -> (forall d. Data d => d -> r') -> Product a -> r gmapQ :: (forall d. Data d => d -> u) -> Product a -> [u] gmapQi :: Int -> (forall d. Data d => d -> u) -> Product a -> u gmapM :: Monad m => (forall d. Data d => d -> m d) -> Product a -> m (Product a) gmapMp :: MonadPlus m => (forall d. Data d => d -> m d) -> Product a -> m (Product a) gmapMo :: MonadPlus m => (forall d. Data d => d -> m d) -> Product a -> m (Product a) | |||||
Num a => Monoid (Product a) | |||||
Num a => Semigroup (Product a) | |||||
Bounded a => Bounded (Product a) | |||||
Generic (Product a) | |||||
Defined in Data.Semigroup.Internal Associated Types
| |||||
Num a => Num (Product a) | |||||
Defined in Data.Semigroup.Internal | |||||
Read a => Read (Product a) | |||||
Show a => Show (Product a) | |||||
Eq a => Eq (Product a) | |||||
Ord a => Ord (Product a) | |||||
type Rep1 Product | |||||
Defined in Data.Semigroup.Internal | |||||
type Rep (Product a) | |||||
Defined in Data.Semigroup.Internal |
Difference lists of a semigroup
ArgMin, ArgMax
Constructors
Arg a b |
Instances
Bifoldable Arg | |||||
Bifoldable1 Arg | |||||
Defined in Data.Bifoldable1 | |||||
Bifunctor Arg | |||||
Bitraversable Arg | |||||
Defined in Data.Semigroup Methods bitraverse :: Applicative f => (a -> f c) -> (b -> f d) -> Arg a b -> f (Arg c d) # | |||||
Generic1 (Arg a :: Type -> Type) | |||||
Defined in Data.Semigroup Associated Types
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Foldable (Arg a) | |||||
Defined in Data.Semigroup Methods fold :: Monoid m => Arg a m -> m # foldMap :: Monoid m => (a0 -> m) -> Arg a a0 -> m # foldMap' :: Monoid m => (a0 -> m) -> Arg a a0 -> m # foldr :: (a0 -> b -> b) -> b -> Arg a a0 -> b # foldr' :: (a0 -> b -> b) -> b -> Arg a a0 -> b # foldl :: (b -> a0 -> b) -> b -> Arg a a0 -> b # foldl' :: (b -> a0 -> b) -> b -> Arg a a0 -> b # foldr1 :: (a0 -> a0 -> a0) -> Arg a a0 -> a0 # foldl1 :: (a0 -> a0 -> a0) -> Arg a a0 -> a0 # elem :: Eq a0 => a0 -> Arg a a0 -> Bool # maximum :: Ord a0 => Arg a a0 -> a0 # minimum :: Ord a0 => Arg a a0 -> a0 # | |||||
Traversable (Arg a) | |||||
Functor (Arg a) | |||||
(Data a, Data b) => Data (Arg a b) | |||||
Defined in Data.Semigroup Methods gfoldl :: (forall d b0. Data d => c (d -> b0) -> d -> c b0) -> (forall g. g -> c g) -> Arg a b -> c (Arg a b) gunfold :: (forall b0 r. Data b0 => c (b0 -> r) -> c r) -> (forall r. r -> c r) -> Constr -> c (Arg a b) dataTypeOf :: Arg a b -> DataType dataCast1 :: Typeable t => (forall d. Data d => c (t d)) -> Maybe (c (Arg a b)) dataCast2 :: Typeable t => (forall d e. (Data d, Data e) => c (t d e)) -> Maybe (c (Arg a b)) gmapT :: (forall b0. Data b0 => b0 -> b0) -> Arg a b -> Arg a b gmapQl :: (r -> r' -> r) -> r -> (forall d. Data d => d -> r') -> Arg a b -> r gmapQr :: forall r r'. (r' -> r -> r) -> r -> (forall d. Data d => d -> r') -> Arg a b -> r gmapQ :: (forall d. Data d => d -> u) -> Arg a b -> [u] gmapQi :: Int -> (forall d. Data d => d -> u) -> Arg a b -> u gmapM :: Monad m => (forall d. Data d => d -> m d) -> Arg a b -> m (Arg a b) gmapMp :: MonadPlus m => (forall d. Data d => d -> m d) -> Arg a b -> m (Arg a b) gmapMo :: MonadPlus m => (forall d. Data d => d -> m d) -> Arg a b -> m (Arg a b) | |||||
Generic (Arg a b) | |||||
Defined in Data.Semigroup Associated Types
| |||||
(Read a, Read b) => Read (Arg a b) | |||||
(Show a, Show b) => Show (Arg a b) | |||||
Eq a => Eq (Arg a b) | |||||
Ord a => Ord (Arg a b) | |||||
type Rep1 (Arg a :: Type -> Type) | |||||
Defined in Data.Semigroup type Rep1 (Arg a :: Type -> Type) = D1 ('MetaData "Arg" "Data.Semigroup" "base" 'False) (C1 ('MetaCons "Arg" 'PrefixI 'False) (S1 ('MetaSel ('Nothing :: Maybe Symbol) 'NoSourceUnpackedness 'NoSourceStrictness 'DecidedLazy) (Rec0 a) :*: S1 ('MetaSel ('Nothing :: Maybe Symbol) 'NoSourceUnpackedness 'NoSourceStrictness 'DecidedLazy) Par1)) | |||||
type Rep (Arg a b) | |||||
Defined in Data.Semigroup type Rep (Arg a b) = D1 ('MetaData "Arg" "Data.Semigroup" "base" 'False) (C1 ('MetaCons "Arg" 'PrefixI 'False) (S1 ('MetaSel ('Nothing :: Maybe Symbol) 'NoSourceUnpackedness 'NoSourceStrictness 'DecidedLazy) (Rec0 a) :*: S1 ('MetaSel ('Nothing :: Maybe Symbol) 'NoSourceUnpackedness 'NoSourceStrictness 'DecidedLazy) (Rec0 b))) |