| Safe Haskell | None |
|---|---|
| Language | Haskell2010 |
Mitchell.Prelude
Contents
- Ala.Identity
- Applicative
- Bool
- Bounded
- Category
- Char
- Clock
- Coerce
- Compactable
- Contravariant
- Debug
- Either
- Enum
- Equality
- Error
- Exception
- File
- File.Text
- Foldable
- Function
- Functor
- Generic
- Hashable
- IO
- List
- Map
- Map.Hash
- Map.Int
- Maybe
- Monad
- Monad.Trans
- Monoid
- Num.Double
- Num.Float
- Num.Floating
- Num.Fractional
- Num.Int
- Num.Integer
- Num.Integral
- Num.Nat
- Num.Num
- Num.Real
- Num.RealFloat
- Num.RealFrac
- Num.Word
- Optic.Fold
- Optic.Getting
- Optic.Lens
- Optic.Prism
- Optic.Setter
- Optic.Traversal
- Ord
- Semigroup
- Sequence
- Set
- Set.Hash
- Set.Int
- Show
- Text
- Traversable
- Tuple
- Void
Synopsis
- newtype Identity a = Identity {
- runIdentity :: a
- class Functor f => Applicative (f :: * -> *) where
- filterM :: Applicative m => (a -> m Bool) -> [a] -> m [a]
- forever :: Applicative f => f a -> f b
- liftA3 :: Applicative f => (a -> b -> c -> d) -> f a -> f b -> f c -> f d
- replicateM :: Applicative m => Int -> m a -> m [a]
- replicateM_ :: Applicative m => Int -> m a -> m ()
- unless :: Applicative f => Bool -> f () -> f ()
- when :: Applicative f => Bool -> f () -> f ()
- zipWithM :: Applicative m => (a -> b -> m c) -> [a] -> [b] -> m [c]
- zipWithM_ :: Applicative m => (a -> b -> m c) -> [a] -> [b] -> m ()
- class Applicative f => Alternative (f :: * -> *) where
- guard :: Alternative f => Bool -> f ()
- optional :: (Alt f, Applicative f) => f a -> f (Maybe a)
- data Bool
- (&&) :: Bool -> Bool -> Bool
- (||) :: Bool -> Bool -> Bool
- not :: Bool -> Bool
- otherwise :: Bool
- class Bounded a where
- data ByteString
- class Category (cat :: k -> k -> *) where
- (>>>) :: Category cat => cat a b -> cat b c -> cat a c
- (<<<) :: Category cat => cat b c -> cat a b -> cat a c
- data Char
- getMonotonicTime :: IO Double
- getMonotonicTimeNSec :: IO Word64
- class a ~R# b => Coercible (a :: k0) (b :: k0)
- coerce :: Coercible a b => a -> b
- class Compactable (f :: * -> *) where
- fforMaybe :: (Compactable f, Functor f) => f a -> (a -> Maybe b) -> f b
- fforEither :: (Compactable f, Functor f) => f a -> (a -> Either l r) -> (f l, f r)
- class Contravariant (f :: * -> *) where
- trace :: String -> a -> a
- traceId :: String -> String
- traceShow :: Show a => a -> b -> b
- traceShowId :: Show a => a -> a
- traceStack :: String -> a -> a
- traceM :: Applicative f => String -> f ()
- traceShowM :: (Show a, Applicative f) => a -> f ()
- data Either a b
- either :: (a -> c) -> (b -> c) -> Either a b -> c
- eitherM :: Monad m => (a -> m c) -> (b -> m c) -> m (Either a b) -> m c
- _Left :: (Choice p, Applicative f) => p a (f b) -> p (Either a c) (f (Either b c))
- _Right :: (Choice p, Applicative f) => p a (f b) -> p (Either c a) (f (Either c b))
- class Enum a where
- class Eq a where
- assert :: Bool -> a -> a
- error :: HasCallStack => [Char] -> a
- undefined :: HasCallStack => a
- class (Typeable e, Show e) => Exception e
- data SomeException where
- data SomeAsyncException where
- throwIO :: (MonadIO m, Exception e) => e -> m a
- stdin :: Handle
- stdout :: Handle
- stderr :: Handle
- say :: MonadIO m => Text -> m ()
- sayString :: MonadIO m => String -> m ()
- sayShow :: (MonadIO m, Show a) => a -> m ()
- sayErr :: MonadIO m => Text -> m ()
- sayErrString :: MonadIO m => String -> m ()
- sayErrShow :: (MonadIO m, Show a) => a -> m ()
- class Foldable (t :: * -> *) where
- foldrM :: (Foldable t, Monad m) => (a -> b -> m b) -> b -> t a -> m b
- foldlM :: (Foldable t, Monad m) => (b -> a -> m b) -> b -> t a -> m b
- traverse_ :: (Foldable t, Applicative f) => (a -> f b) -> t a -> f ()
- for_ :: (Foldable t, Applicative f) => t a -> (a -> f b) -> f ()
- sequenceA_ :: (Foldable t, Applicative f) => t (f a) -> f ()
- asum :: (Foldable t, Alternative f) => t (f a) -> f a
- msum :: (Foldable t, MonadPlus m) => t (m a) -> m a
- concatMap :: Foldable t => (a -> [b]) -> t a -> [b]
- and :: Foldable t => t Bool -> Bool
- or :: Foldable t => t Bool -> Bool
- all :: Foldable t => (a -> Bool) -> t a -> Bool
- any :: Foldable t => (a -> Bool) -> t a -> Bool
- notElem :: (Foldable t, Eq a) => a -> t a -> Bool
- find :: Foldable t => (a -> Bool) -> t a -> Maybe a
- foldM :: (Foldable t, Monad m) => (b -> a -> m b) -> b -> t a -> m b
- foldM_ :: (Foldable t, Monad m) => (b -> a -> m b) -> b -> t a -> m ()
- foldMapBy :: Foldable t => (r -> r -> r) -> r -> (a -> r) -> t a -> r
- foldBy :: Foldable t => (a -> a -> a) -> a -> t a -> a
- ($) :: (a -> b) -> a -> b
- ($!) :: (a -> b) -> a -> b
- (&) :: a -> (a -> b) -> b
- const :: a -> b -> a
- fix :: (a -> a) -> a
- flip :: (a -> b -> c) -> b -> a -> c
- until :: (a -> Bool) -> (a -> a) -> a -> a
- newtype Endo a = Endo {
- appEndo :: a -> a
- class Functor (f :: * -> *) where
- (<$>) :: Functor f => (a -> b) -> f a -> f b
- ($>) :: Functor f => f a -> b -> f b
- (<&>) :: Functor f => f a -> (a -> b) -> f b
- void :: Functor f => f a -> f ()
- class Generic a
- class Hashable a
- data IO a
- class Monad m => MonadIO (m :: * -> *) where
- (++) :: [a] -> [a] -> [a]
- cycle :: [a] -> [a]
- iterate :: (a -> a) -> a -> [a]
- iterate' :: (a -> a) -> a -> [a]
- map :: (a -> b) -> [a] -> [b]
- repeat :: a -> [a]
- replicate :: Int -> a -> [a]
- scanl :: (b -> a -> b) -> b -> [a] -> [b]
- scanl' :: (b -> a -> b) -> b -> [a] -> [b]
- scanl1 :: (a -> a -> a) -> [a] -> [a]
- scanr :: (a -> b -> b) -> b -> [a] -> [b]
- scanr1 :: (a -> a -> a) -> [a] -> [a]
- unfoldr :: (b -> Maybe (a, b)) -> b -> [a]
- data Map k a
- data HashMap k v
- data IntMap a
- data Maybe a
- maybe :: b -> (a -> b) -> Maybe a -> b
- maybeM :: Monad m => m b -> (a -> m b) -> m (Maybe a) -> m b
- fromMaybe :: a -> Maybe a -> a
- catMaybes :: [Maybe a] -> [a]
- mapMaybe :: (a -> Maybe b) -> [a] -> [b]
- _Nothing :: (Choice p, Applicative f) => p () (f ()) -> p (Maybe a) (f (Maybe a))
- _Just :: (Choice p, Applicative f) => p a (f b) -> p (Maybe a) (f (Maybe b))
- class Applicative m => Monad (m :: * -> *) where
- (=<<) :: Monad m => (a -> m b) -> m a -> m b
- (>=>) :: Monad m => (a -> m b) -> (b -> m c) -> a -> m c
- (<=<) :: Monad m => (b -> m c) -> (a -> m b) -> a -> m c
- unlessM :: Monad m => m Bool -> m () -> m ()
- whenJustM :: Monad m => m (Maybe a) -> (a -> m ()) -> m ()
- whenM :: Monad m => m Bool -> m () -> m ()
- whileM :: Monad m => m Bool -> m ()
- class MonadTrans (t :: (* -> *) -> * -> *) where
- class Semigroup a => Monoid a
- mconcat :: Monoid a => [a] -> a
- mempty :: Monoid a => a
- data Double
- data Float
- class Fractional a => Floating a where
- class Num a => Fractional a where
- (^^) :: (Fractional a, Integral b) => a -> b -> a
- data Int
- data Int8
- data Int16
- data Int32
- data Int64
- data Integer
- class (Real a, Enum a) => Integral a where
- even :: Integral a => a -> Bool
- odd :: Integral a => a -> Bool
- gcd :: Integral a => a -> a -> a
- lcm :: Integral a => a -> a -> a
- fromIntegral :: (Integral a, Num b) => a -> b
- data Nat
- class KnownNat (n :: Nat)
- natVal :: KnownNat n => proxy n -> Integer
- natVal' :: KnownNat n => Proxy# n -> Integer
- data SomeNat where
- someNatVal :: Integer -> Maybe SomeNat
- class Num a where
- (^) :: (Num a, Integral b) => a -> b -> a
- subtract :: Num a => a -> a -> a
- class (Num a, Ord a) => Real a where
- div' :: (Real a, Integral b) => a -> a -> b
- mod' :: Real a => a -> a -> a
- divMod' :: (Real a, Integral b) => a -> a -> (b, a)
- realToFrac :: (Real a, Fractional b) => a -> b
- class (RealFrac a, Floating a) => RealFloat a where
- class (Real a, Fractional a) => RealFrac a where
- data Word
- data Word8
- data Word16
- data Word32
- data Word64
- (^?) :: s -> Getting (First a) s a -> Maybe a
- preview :: MonadReader s m => Getting (First a) s a -> m (Maybe a)
- has :: Getting Any s a -> s -> Bool
- folded :: Foldable f => IndexedFold Int (f a) a
- (^.) :: s -> Getting a s a -> a
- view :: MonadReader s m => Getting a s a -> m a
- type Lens s t a b = forall (f :: * -> *). Functor f => (a -> f b) -> s -> f t
- type Lens' s a = Lens s s a a
- lens :: (s -> a) -> (s -> b -> t) -> Lens s t a b
- class HasAny (sel :: k) s t a b | s sel k -> a where
- class Ixed m => At m where
- type Prism s t a b = forall (p :: * -> * -> *) (f :: * -> *). (Choice p, Applicative f) => p a (f b) -> p s (f t)
- type Prism' s a = Prism s s a a
- prism :: (b -> t) -> (s -> Either t a) -> Prism s t a b
- is :: APrism s t a b -> s -> Bool
- class AsAny (sel :: k) a s | s sel k -> a where
- (.~) :: ASetter s t a b -> b -> s -> t
- (%~) :: ASetter s t a b -> (a -> b) -> s -> t
- over :: ASetter s t a b -> (a -> b) -> s -> t
- set :: ASetter s t a b -> b -> s -> t
- type Traversal s t a b = forall (f :: * -> *). Applicative f => (a -> f b) -> s -> f t
- type Traversal' s a = Traversal s s a a
- class Eq a => Ord a where
- data Ordering
- class Semigroup a where
- data Seq a
- data Set a
- data HashSet a
- data IntSet
- class Show a where
- data Text
- class (Functor t, Foldable t) => Traversable (t :: * -> *) where
- for :: (Traversable t, Applicative f) => t a -> (a -> f b) -> f (t b)
- fst :: (a, b) -> a
- snd :: (a, b) -> b
- class Field1 s t a b | s -> a, t -> b, s b -> t, t a -> s where
- class Field2 s t a b | s -> a, t -> b, s b -> t, t a -> s where
- class Field3 s t a b | s -> a, t -> b, s b -> t, t a -> s where
- class Field4 s t a b | s -> a, t -> b, s b -> t, t a -> s where
- class Field5 s t a b | s -> a, t -> b, s b -> t, t a -> s where
- class Field6 s t a b | s -> a, t -> b, s b -> t, t a -> s where
- data Void
Ala.Identity
Identity functor and monad. (a non-strict monad)
Since: base-4.8.0.0
Constructors
| Identity | |
Fields
| |
Instances
Applicative
class Functor f => Applicative (f :: * -> *) where #
A functor with application, providing operations to
A minimal complete definition must include implementations of pure
and of either <*> or liftA2. If it defines both, then they must behave
the same as their default definitions:
(<*>) =liftA2id
liftA2f x y = f<$>x<*>y
Further, any definition must satisfy the following:
- identity
pureid<*>v = v- composition
pure(.)<*>u<*>v<*>w = u<*>(v<*>w)- homomorphism
puref<*>purex =pure(f x)- interchange
u
<*>purey =pure($y)<*>u
The other methods have the following default definitions, which may be overridden with equivalent specialized implementations:
As a consequence of these laws, the Functor instance for f will satisfy
It may be useful to note that supposing
forall x y. p (q x y) = f x . g y
it follows from the above that
liftA2p (liftA2q u v) =liftA2f u .liftA2g v
If f is also a Monad, it should satisfy
(which implies that pure and <*> satisfy the applicative functor laws).
Methods
Lift a value.
(<*>) :: f (a -> b) -> f a -> f b infixl 4 #
Sequential application.
A few functors support an implementation of <*> that is more
efficient than the default one.
liftA2 :: (a -> b -> c) -> f a -> f b -> f c #
Lift a binary function to actions.
Some functors support an implementation of liftA2 that is more
efficient than the default one. In particular, if fmap is an
expensive operation, it is likely better to use liftA2 than to
fmap over the structure and then use <*>.
(*>) :: f a -> f b -> f b infixl 4 #
Sequence actions, discarding the value of the first argument.
(<*) :: f a -> f b -> f a infixl 4 #
Sequence actions, discarding the value of the second argument.
Instances
filterM :: Applicative m => (a -> m Bool) -> [a] -> m [a] #
This generalizes the list-based filter function.
forever :: Applicative f => f a -> f b #
forever act
liftA3 :: Applicative f => (a -> b -> c -> d) -> f a -> f b -> f c -> f d #
Lift a ternary function to actions.
replicateM :: Applicative m => Int -> m a -> m [a] #
replicateM n actn times,
gathering the results.
replicateM_ :: Applicative m => Int -> m a -> m () #
Like replicateM, but discards the result.
unless :: Applicative f => Bool -> f () -> f () #
The reverse of when.
when :: Applicative f => Bool -> f () -> f () #
Conditional execution of Applicative expressions. For example,
when debug (putStrLn "Debugging")
will output the string Debugging if the Boolean value debug
is True, and otherwise do nothing.
zipWithM :: Applicative m => (a -> b -> m c) -> [a] -> [b] -> m [c] #
zipWithM_ :: Applicative m => (a -> b -> m c) -> [a] -> [b] -> m () #
class Applicative f => Alternative (f :: * -> *) where #
A monoid on applicative functors.
If defined, some and many should be the least solutions
of the equations:
Instances
guard :: Alternative f => Bool -> f () #
Conditional failure of Alternative computations. Defined by
guard True =pure() guard False =empty
Examples
Common uses of guard include conditionally signaling an error in
an error monad and conditionally rejecting the current choice in an
Alternative-based parser.
As an example of signaling an error in the error monad Maybe,
consider a safe division function safeDiv x y that returns
Nothing when the denominator y is zero and Just (x `div`
y)
>>> safeDiv 4 0 Nothing >>> safeDiv 4 2 Just 2
A definition of safeDiv using guards, but not guard:
safeDiv :: Int -> Int -> Maybe Int
safeDiv x y | y /= 0 = Just (x `div` y)
| otherwise = Nothing
A definition of safeDiv using guard and Monad do-notation:
safeDiv :: Int -> Int -> Maybe Int safeDiv x y = do guard (y /= 0) return (x `div` y)
optional :: (Alt f, Applicative f) => f a -> f (Maybe a) #
One or none.
Bool
Instances
| Bounded Bool | Since: base-2.1 |
| Enum Bool | Since: base-2.1 |
| Eq Bool | |
| Data Bool | Since: base-4.0.0.0 |
Defined in Data.Data Methods gfoldl :: (forall d b. Data d => c (d -> b) -> d -> c b) -> (forall g. g -> c g) -> Bool -> c Bool # gunfold :: (forall b r. Data b => c (b -> r) -> c r) -> (forall r. r -> c r) -> Constr -> c Bool # dataTypeOf :: Bool -> DataType # dataCast1 :: Typeable t => (forall d. Data d => c (t d)) -> Maybe (c Bool) # dataCast2 :: Typeable t => (forall d e. (Data d, Data e) => c (t d e)) -> Maybe (c Bool) # gmapT :: (forall b. Data b => b -> b) -> Bool -> Bool # gmapQl :: (r -> r' -> r) -> r -> (forall d. Data d => d -> r') -> Bool -> r # gmapQr :: (r' -> r -> r) -> r -> (forall d. Data d => d -> r') -> Bool -> r # gmapQ :: (forall d. Data d => d -> u) -> Bool -> [u] # gmapQi :: Int -> (forall d. Data d => d -> u) -> Bool -> u # gmapM :: Monad m => (forall d. Data d => d -> m d) -> Bool -> m Bool # gmapMp :: MonadPlus m => (forall d. Data d => d -> m d) -> Bool -> m Bool # gmapMo :: MonadPlus m => (forall d. Data d => d -> m d) -> Bool -> m Bool # | |
| Ord Bool | |
| Read Bool | Since: base-2.1 |
| Show Bool | |
| Ix Bool | Since: base-2.1 |
| Generic Bool | |
| Lift Bool | |
| Hashable Bool | |
Defined in Data.Hashable.Class | |
| ToJSON Bool | |
Defined in Data.Aeson.Types.ToJSON | |
| ToJSONKey Bool | |
Defined in Data.Aeson.Types.ToJSON | |
| FromJSON Bool | |
| FromJSONKey Bool | |
Defined in Data.Aeson.Types.FromJSON | |
| SingKind Bool | Since: base-4.9.0.0 |
Defined in GHC.Generics | |
| Storable Bool | Since: base-2.1 |
Defined in Foreign.Storable | |
| Bits Bool | Interpret Since: base-4.7.0.0 |
Defined in Data.Bits Methods (.&.) :: Bool -> Bool -> Bool # (.|.) :: Bool -> Bool -> Bool # complement :: Bool -> Bool # shift :: Bool -> Int -> Bool # rotate :: Bool -> Int -> Bool # setBit :: Bool -> Int -> Bool # clearBit :: Bool -> Int -> Bool # complementBit :: Bool -> Int -> Bool # testBit :: Bool -> Int -> Bool # bitSizeMaybe :: Bool -> Maybe Int # shiftL :: Bool -> Int -> Bool # unsafeShiftL :: Bool -> Int -> Bool # shiftR :: Bool -> Int -> Bool # unsafeShiftR :: Bool -> Int -> Bool # rotateL :: Bool -> Int -> Bool # | |
| FiniteBits Bool | Since: base-4.7.0.0 |
Defined in Data.Bits Methods finiteBitSize :: Bool -> Int # countLeadingZeros :: Bool -> Int # countTrailingZeros :: Bool -> Int # | |
| NFData Bool | |
Defined in Control.DeepSeq | |
| Unbox Bool | |
Defined in Data.Vector.Unboxed.Base | |
| Variate Bool | |
| Pretty Bool |
|
Defined in Data.Text.Prettyprint.Doc.Internal | |
| Meet Bool | Boolean conjunction forms a semilattice. Idempotence: x /\ x == (x :: Bool) Associativity: a /\ (b /\ c) == (a /\ b) /\ (c :: Bool) Commutativity: a /\ b == b /\ (a :: Bool) Identity: upperBound /\ a == (a :: Bool) Absorption: lowerBound /\ a == (lowerBound :: Bool) |
| Upper Bool | |
Defined in Data.Semilattice.Upper Methods upperBound :: Bool # | |
| Join Bool | Boolean disjunction forms a semilattice. Idempotence: x \/ x == (x :: Bool) Associativity: a \/ (b \/ c) == (a \/ b) \/ (c :: Bool) Commutativity: a \/ b == b \/ (a :: Bool) Identity: lowerBound \/ a == (a :: Bool) Absorption: upperBound \/ a == (upperBound :: Bool) |
| Lower Bool | |
Defined in Data.Semilattice.Lower Methods lowerBound :: Bool # | |
| Serialise Bool | Since: serialise-0.2.0.0 |
| SingI False | Since: base-4.9.0.0 |
Defined in GHC.Generics | |
| SingI True | Since: base-4.9.0.0 |
Defined in GHC.Generics | |
| Vector Vector Bool | |
Defined in Data.Vector.Unboxed.Base Methods basicUnsafeFreeze :: PrimMonad m => Mutable Vector (PrimState m) Bool -> m (Vector Bool) # basicUnsafeThaw :: PrimMonad m => Vector Bool -> m (Mutable Vector (PrimState m) Bool) # basicLength :: Vector Bool -> Int # basicUnsafeSlice :: Int -> Int -> Vector Bool -> Vector Bool # basicUnsafeIndexM :: Monad m => Vector Bool -> Int -> m Bool # basicUnsafeCopy :: PrimMonad m => Mutable Vector (PrimState m) Bool -> Vector Bool -> m () # | |
| HasTypes Bool a | |
Defined in Data.Generics.Product.Types Methods types_ :: Traversal' Bool a | |
| MVector MVector Bool | |
Defined in Data.Vector.Unboxed.Base Methods basicLength :: MVector s Bool -> Int # basicUnsafeSlice :: Int -> Int -> MVector s Bool -> MVector s Bool # basicOverlaps :: MVector s Bool -> MVector s Bool -> Bool # basicUnsafeNew :: PrimMonad m => Int -> m (MVector (PrimState m) Bool) # basicInitialize :: PrimMonad m => MVector (PrimState m) Bool -> m () # basicUnsafeReplicate :: PrimMonad m => Int -> Bool -> m (MVector (PrimState m) Bool) # basicUnsafeRead :: PrimMonad m => MVector (PrimState m) Bool -> Int -> m Bool # basicUnsafeWrite :: PrimMonad m => MVector (PrimState m) Bool -> Int -> Bool -> m () # basicClear :: PrimMonad m => MVector (PrimState m) Bool -> m () # basicSet :: PrimMonad m => MVector (PrimState m) Bool -> Bool -> m () # basicUnsafeCopy :: PrimMonad m => MVector (PrimState m) Bool -> MVector (PrimState m) Bool -> m () # basicUnsafeMove :: PrimMonad m => MVector (PrimState m) Bool -> MVector (PrimState m) Bool -> m () # basicUnsafeGrow :: PrimMonad m => MVector (PrimState m) Bool -> Int -> m (MVector (PrimState m) Bool) # | |
| () :=> (Bounded Bool) | |
| () :=> (Enum Bool) | |
| () :=> (Eq Bool) | |
| () :=> (Ord Bool) | |
| () :=> (Read Bool) | |
| () :=> (Show Bool) | |
| () :=> (Bits Bool) | |
| type Rep Bool | |
| data Sing (a :: Bool) | |
| type DemoteRep Bool | |
Defined in GHC.Generics | |
| data Vector Bool | |
| data MVector s Bool | |
| type Eval (HasTotalFieldPSym sym :: (Type -> Type) -> Bool -> Type) (tt :: Type -> Type) | |
| type Eval (HasTotalFieldPSym sym :: (Type -> Type) -> Bool -> Type) (tt :: Type -> Type) | |
| type Eval (HasTotalPositionPSym t :: (Type -> Type) -> Bool -> Type) (tt :: Type -> Type) | |
| type Eval (HasTotalTypePSym t :: (Type -> Type) -> Bool -> Type) (tt :: Type -> Type) | |
Bounded
The Bounded class is used to name the upper and lower limits of a
type. Ord is not a superclass of Bounded since types that are not
totally ordered may also have upper and lower bounds.
The Bounded class may be derived for any enumeration type;
minBound is the first constructor listed in the data declaration
and maxBound is the last.
Bounded may also be derived for single-constructor datatypes whose
constituent types are in Bounded.
Instances
data ByteString #
A space-efficient representation of a Word8 vector, supporting many
efficient operations.
A ByteString contains 8-bit bytes, or by using the operations from
Data.ByteString.Char8 it can be interpreted as containing 8-bit
characters.
Instances
Category
class Category (cat :: k -> k -> *) where #
A class for categories. Instances should satisfy the laws
f.id= f -- (right identity)id.f = f -- (left identity) f.(g.h) = (f.g).h -- (associativity)
Instances
| Category (:-) | Possible since GHC 7.8, when |
| Category (Coercion :: k -> k -> *) | Since: base-4.7.0.0 |
| Category ((:~:) :: k -> k -> *) | Since: base-4.7.0.0 |
| Category ((:~~:) :: k -> k -> *) | Since: base-4.10.0.0 |
| Category k2 => Category (Dual k2 :: k1 -> k1 -> *) | |
| Category k2 => Category (WrappedCategory k2 :: k1 -> k1 -> *) | |
Defined in Data.Semigroupoid Methods id :: WrappedCategory k2 a a # (.) :: WrappedCategory k2 b c -> WrappedCategory k2 a b -> WrappedCategory k2 a c # | |
| Monoid m => Category (Semi m :: k -> k -> *) | |
| (Applicative f, Category p) => Category (Tannen f p :: k -> k -> *) | |
| Category Op | |
| Category ReifiedGetter | |
Defined in Control.Lens.Reified Methods id :: ReifiedGetter a a # (.) :: ReifiedGetter b c -> ReifiedGetter a b -> ReifiedGetter a c # | |
| Category ReifiedFold | |
Defined in Control.Lens.Reified | |
| Monad m => Category (Kleisli m :: * -> * -> *) | Since: base-3.0 |
| (Applicative f, Monad f) => Category (WhenMissing f :: * -> * -> *) | Since: containers-0.5.9 |
Defined in Data.IntMap.Internal Methods id :: WhenMissing f a a # (.) :: WhenMissing f b c -> WhenMissing f a b -> WhenMissing f a c # | |
| Category (Indexed i :: * -> * -> *) | |
| Category p => Category (TambaraSum p :: * -> * -> *) | |
Defined in Data.Profunctor.Choice | |
| Category p => Category (Closure p :: * -> * -> *) | |
| Category p => Category (Tambara p :: * -> * -> *) | |
| Monad f => Category (Star f :: * -> * -> *) | |
| Category p => Category (WrappedArrow p :: * -> * -> *) | |
Defined in Data.Profunctor.Types Methods id :: WrappedArrow p a a # (.) :: WrappedArrow p b c -> WrappedArrow p a b -> WrappedArrow p a c # | |
| Applicative f => Category (Static f :: * -> * -> *) | |
| Category ((->) :: * -> * -> *) | Since: base-3.0 |
Defined in Control.Category | |
| Comonad w => Category (Cokleisli w :: * -> * -> *) | |
| (Monad f, Applicative f) => Category (WhenMatched f x :: * -> * -> *) | Since: containers-0.5.9 |
Defined in Data.IntMap.Internal Methods id :: WhenMatched f x a a # (.) :: WhenMatched f x b c -> WhenMatched f x a b -> WhenMatched f x a c # | |
| (Applicative f, Monad f) => Category (WhenMissing f k :: * -> * -> *) | Since: containers-0.5.9 |
Defined in Data.Map.Internal Methods id :: WhenMissing f k a a # (.) :: WhenMissing f k b c -> WhenMissing f k a b -> WhenMissing f k a c # | |
| p ~ q => Category (Rift p q :: * -> * -> *) |
|
| (Monad f, Applicative f) => Category (WhenMatched f k x :: * -> * -> *) | Since: containers-0.5.9 |
Defined in Data.Map.Internal Methods id :: WhenMatched f k x a a # (.) :: WhenMatched f k x b c -> WhenMatched f k x a b -> WhenMatched f k x a c # | |
Char
The character type Char is an enumeration whose values represent
Unicode (or equivalently ISO/IEC 10646) code points (i.e. characters, see
http://www.unicode.org/ for details). This set extends the ISO 8859-1
(Latin-1) character set (the first 256 characters), which is itself an extension
of the ASCII character set (the first 128 characters). A character literal in
Haskell has type Char.
To convert a Char to or from the corresponding Int value defined
by Unicode, use toEnum and fromEnum from the
Enum class respectively (or equivalently ord and chr).
Instances
Clock
getMonotonicTime :: IO Double #
Return monotonic time in seconds, since some unspecified starting point
Since: base-4.11.0.0
getMonotonicTimeNSec :: IO Word64 #
Return monotonic time in nanoseconds, since some unspecified starting point
Since: base-4.11.0.0
Coerce
class a ~R# b => Coercible (a :: k0) (b :: k0) #
Coercible is a two-parameter class that has instances for types a and b if
the compiler can infer that they have the same representation. This class
does not have regular instances; instead they are created on-the-fly during
type-checking. Trying to manually declare an instance of Coercible
is an error.
Nevertheless one can pretend that the following three kinds of instances exist. First, as a trivial base-case:
instance Coercible a a
Furthermore, for every type constructor there is
an instance that allows to coerce under the type constructor. For
example, let D be a prototypical type constructor (data or
newtype) with three type arguments, which have roles nominal,
representational resp. phantom. Then there is an instance of
the form
instance Coercible b b' => Coercible (D a b c) (D a b' c')
Note that the nominal type arguments are equal, the
representational type arguments can differ, but need to have a
Coercible instance themself, and the phantom type arguments can be
changed arbitrarily.
The third kind of instance exists for every newtype NT = MkNT T and
comes in two variants, namely
instance Coercible a T => Coercible a NT
instance Coercible T b => Coercible NT b
This instance is only usable if the constructor MkNT is in scope.
If, as a library author of a type constructor like Set a, you
want to prevent a user of your module to write
coerce :: Set T -> Set NT,
you need to set the role of Set's type parameter to nominal,
by writing
type role Set nominal
For more details about this feature, please refer to Safe Coercions by Joachim Breitner, Richard A. Eisenberg, Simon Peyton Jones and Stephanie Weirich.
Since: ghc-prim-4.7.0.0
coerce :: Coercible a b => a -> b #
The function coerce allows you to safely convert between values of
types that have the same representation with no run-time overhead. In the
simplest case you can use it instead of a newtype constructor, to go from
the newtype's concrete type to the abstract type. But it also works in
more complicated settings, e.g. converting a list of newtypes to a list of
concrete types.
Compactable
class Compactable (f :: * -> *) where #
Class Compactable provides two methods which can be writen in terms of each other, compact and separate.
is generalization of catMaybes as a new function. Compact has relations with Functor, Applicative, Monad, Alternative, and Traversable. In that we can use these class to provide the ability to operate on a data type by throwing away intermediate Nothings. This is useful for representing stripping out values or failure.
To be compactable alone, no laws must be satisfied other than the type signature.
If the data type is also a Functor the following should hold:
- Kleisli composition
fmapMaybe (l <=< r) = fmapMaybe l . fmapMaybe r
- Functor identity 1
compact . fmap Just = id
- Functor identity 2
fmapMaybe Just = id
- Functor relation
compact = fmapMaybe id
According to Kmett, (Compactable f, Functor f) is a functor from the
kleisli category of Maybe to the category of haskell data types.
Kleisli Maybe -> Hask.
If the data type is also Applicative the following should hold:
- Applicative left identity
compact . (pure Just <*>) = id
- Applicative right identity
applyMaybe (pure Just) = id
- Applicative relation
compact = applyMaybe (pure id)
If the data type is also a Monad the following should hold:
- Monad left identity
flip bindMaybe (return . Just) = id
- Monad right identity
compact . (return . Just =<<) = id
- Monad relation
compact = flip bindMaybe return
If the data type is also Alternative the following should hold:
- Alternative identity
compact empty = empty
- Alternative annihilation
compact (const Nothing <$> xs) = empty
If the data type is also Traversable the following should hold:
- Traversable Applicative relation
traverseMaybe (pure . Just) = pure
- Traversable composition
Compose . fmap (traverseMaybe f) . traverseMaybe g = traverseMaybe (Compose . fmap (traverseMaybe f) . g)
- Traversable Functor relation
traverse f = traverseMaybe (fmap Just . f)
- Traversable naturality
t . traverseMaybe f = traverseMaybe (t . f)
Separate and filter
have recently elevated roles in this typeclass, and is not as well explored as compact. Here are the laws known today:
- Functor identity 3
fst . separate . fmap Right = id
- Functor identity 4
snd . separate . fmap Left = id
- Applicative left identity 2
snd . separate . (pure Right <*>) = id
- Applicative right identity 2
fst . separate . (pure Left <*>) = id
- Alternative annihilation left
snd . separate . fmap (const Left) = empty
- Alternative annihilation right
fst , separate . fmap (const Right) = empty
Docs for relationships between these functions and, a cleanup of laws will happen at some point.
If you know of more useful laws, or have better names for the ones above (especially those marked "name me"). Please let me know.
Methods
compact :: f (Maybe a) -> f a #
separate :: f (Either l r) -> (f l, f r) #
filter :: (a -> Bool) -> f a -> f a #
partition :: (a -> Bool) -> f a -> (f a, f a) #
fmapMaybe :: Functor f => (a -> Maybe b) -> f a -> f b #
fmapEither :: Functor f => (a -> Either l r) -> f a -> (f l, f r) #
applyMaybe :: Applicative f => f (a -> Maybe b) -> f a -> f b #
applyEither :: Applicative f => f (a -> Either l r) -> f a -> (f l, f r) #
bindMaybe :: Monad f => f a -> (a -> f (Maybe b)) -> f b #
bindEither :: Monad f => f a -> (a -> f (Either l r)) -> (f l, f r) #
traverseMaybe :: (Applicative g, Traversable f) => (a -> g (Maybe b)) -> f a -> g (f b) #
traverseEither :: (Applicative g, Traversable f) => (a -> g (Either l r)) -> f a -> g (f l, f r) #
Instances
fforMaybe :: (Compactable f, Functor f) => f a -> (a -> Maybe b) -> f b #
fforEither :: (Compactable f, Functor f) => f a -> (a -> Either l r) -> (f l, f r) #
Contravariant
class Contravariant (f :: * -> *) where #
The class of contravariant functors.
Whereas in Haskell, one can think of a Functor as containing or producing
values, a contravariant functor is a functor that can be thought of as
consuming values.
As an example, consider the type of predicate functions a -> Bool. One
such predicate might be negative x = x < 0, which
classifies integers as to whether they are negative. However, given this
predicate, we can re-use it in other situations, providing we have a way to
map values to integers. For instance, we can use the negative predicate
on a person's bank balance to work out if they are currently overdrawn:
newtype Predicate a = Predicate { getPredicate :: a -> Bool }
instance Contravariant Predicate where
contramap f (Predicate p) = Predicate (p . f)
| `- First, map the input...
`----- then apply the predicate.
overdrawn :: Predicate Person
overdrawn = contramap personBankBalance negative
Any instance should be subject to the following laws:
contramap id = id contramap f . contramap g = contramap (g . f)
Note, that the second law follows from the free theorem of the type of
contramap and the first law, so you need only check that the former
condition holds.
Minimal complete definition
Instances
Debug
The trace function outputs the trace message given as its first argument,
before returning the second argument as its result.
For example, this returns the value of f x but first outputs the message.
>>>let x = 123; f = show>>>trace ("calling f with x = " ++ show x) (f x)"calling f with x = 123 123"
The trace function should only be used for debugging, or for monitoring
execution. The function is not referentially transparent: its type indicates
that it is a pure function but it has the side effect of outputting the
trace message.
Like trace but returns the message instead of a third value.
>>>traceId "hello""hello hello"
Since: base-4.7.0.0
traceShowId :: Show a => a -> a #
Like traceShow but returns the shown value instead of a third value.
>>>traceShowId (1+2+3, "hello" ++ "world")(6,"helloworld") (6,"helloworld")
Since: base-4.7.0.0
traceStack :: String -> a -> a #
like trace, but additionally prints a call stack if one is
available.
In the current GHC implementation, the call stack is only
available if the program was compiled with -prof; otherwise
traceStack behaves exactly like trace. Entries in the call
stack correspond to SCC annotations, so it is a good idea to use
-fprof-auto or -fprof-auto-calls to add SCC annotations automatically.
Since: base-4.5.0.0
traceM :: Applicative f => String -> f () #
Like trace but returning unit in an arbitrary Applicative context. Allows
for convenient use in do-notation.
Note that the application of traceM is not an action in the Applicative
context, as traceIO is in the IO type. While the fresh bindings in the
following example will force the traceM expressions to be reduced every time
the do-block is executed, traceM "not crashed" would only be reduced once,
and the message would only be printed once. If your monad is in MonadIO,
liftIO . traceIO may be a better option.
>>>:{do x <- Just 3 traceM ("x: " ++ show x) y <- pure 12 traceM ("y: " ++ show y) pure (x*2 + y) :} x: 3 y: 12 Just 18
Since: base-4.7.0.0
traceShowM :: (Show a, Applicative f) => a -> f () #
Either
The Either type represents values with two possibilities: a value of
type Either a bLeft aRight b
The Either type is sometimes used to represent a value which is
either correct or an error; by convention, the Left constructor is
used to hold an error value and the Right constructor is used to
hold a correct value (mnemonic: "right" also means "correct").
Examples
The type Either String IntString or an Int. The Left constructor can be used only on
Strings, and the Right constructor can be used only on Ints:
>>>let s = Left "foo" :: Either String Int>>>sLeft "foo">>>let n = Right 3 :: Either String Int>>>nRight 3>>>:type ss :: Either String Int>>>:type nn :: Either String Int
The fmap from our Functor instance will ignore Left values, but
will apply the supplied function to values contained in a Right:
>>>let s = Left "foo" :: Either String Int>>>let n = Right 3 :: Either String Int>>>fmap (*2) sLeft "foo">>>fmap (*2) nRight 6
The Monad instance for Either allows us to chain together multiple
actions which may fail, and fail overall if any of the individual
steps failed. First we'll write a function that can either parse an
Int from a Char, or fail.
>>>import Data.Char ( digitToInt, isDigit )>>>:{let parseEither :: Char -> Either String Int parseEither c | isDigit c = Right (digitToInt c) | otherwise = Left "parse error">>>:}
The following should work, since both '1' and '2' can be
parsed as Ints.
>>>:{let parseMultiple :: Either String Int parseMultiple = do x <- parseEither '1' y <- parseEither '2' return (x + y)>>>:}
>>>parseMultipleRight 3
But the following should fail overall, since the first operation where
we attempt to parse 'm' as an Int will fail:
>>>:{let parseMultiple :: Either String Int parseMultiple = do x <- parseEither 'm' y <- parseEither '2' return (x + y)>>>:}
>>>parseMultipleLeft "parse error"
Instances
| ToJSON2 Either | |
Defined in Data.Aeson.Types.ToJSON Methods liftToJSON2 :: (a -> Value) -> ([a] -> Value) -> (b -> Value) -> ([b] -> Value) -> Either a b -> Value # liftToJSONList2 :: (a -> Value) -> ([a] -> Value) -> (b -> Value) -> ([b] -> Value) -> [Either a b] -> Value # liftToEncoding2 :: (a -> Encoding) -> ([a] -> Encoding) -> (b -> Encoding) -> ([b] -> Encoding) -> Either a b -> Encoding # liftToEncodingList2 :: (a -> Encoding) -> ([a] -> Encoding) -> (b -> Encoding) -> ([b] -> Encoding) -> [Either a b] -> Encoding # | |
| FromJSON2 Either | |
Defined in Data.Aeson.Types.FromJSON | |
| Bitraversable Either | Since: base-4.10.0.0 |
Defined in Data.Bitraversable Methods bitraverse :: Applicative f => (a -> f c) -> (b -> f d) -> Either a b -> f (Either c d) # | |
| Bifoldable Either | Since: base-4.10.0.0 |
| Bifunctor Either | Since: base-4.8.0.0 |
| Eq2 Either | Since: base-4.9.0.0 |
| Ord2 Either | Since: base-4.9.0.0 |
Defined in Data.Functor.Classes | |
| Read2 Either | Since: base-4.9.0.0 |
Defined in Data.Functor.Classes Methods liftReadsPrec2 :: (Int -> ReadS a) -> ReadS [a] -> (Int -> ReadS b) -> ReadS [b] -> Int -> ReadS (Either a b) # liftReadList2 :: (Int -> ReadS a) -> ReadS [a] -> (Int -> ReadS b) -> ReadS [b] -> ReadS [Either a b] # liftReadPrec2 :: ReadPrec a -> ReadPrec [a] -> ReadPrec b -> ReadPrec [b] -> ReadPrec (Either a b) # liftReadListPrec2 :: ReadPrec a -> ReadPrec [a] -> ReadPrec b -> ReadPrec [b] -> ReadPrec [Either a b] # | |
| Show2 Either | Since: base-4.9.0.0 |
| NFData2 Either | Since: deepseq-1.4.3.0 |
Defined in Control.DeepSeq | |
| Hashable2 Either | |
Defined in Data.Hashable.Class | |
| Bitraversable1 Either | |
Defined in Data.Semigroup.Traversable.Class Methods bitraverse1 :: Apply f => (a -> f b) -> (c -> f d) -> Either a c -> f (Either b d) # bisequence1 :: Apply f => Either (f a) (f b) -> f (Either a b) # | |
| Swapped Either | |
Defined in Control.Lens.Iso | |
| Bifoldable1 Either | |
Defined in Data.Semigroup.Foldable.Class | |
| () :=> (Monad (Either a)) | |
| () :=> (Functor (Either a)) | |
| () :=> (Applicative (Either a)) | |
Defined in Data.Constraint Methods ins :: () :- Applicative (Either a) # | |
| MonadError e (Either e) | |
Defined in Control.Monad.Error.Class | |
| Monad (Either e) | Since: base-4.4.0.0 |
| Functor (Either a) | Since: base-3.0 |
| MonadFix (Either e) | Since: base-4.3.0.0 |
Defined in Control.Monad.Fix | |
| Applicative (Either e) | Since: base-3.0 |
| Foldable (Either a) | Since: base-4.7.0.0 |
Defined in Data.Foldable Methods fold :: Monoid m => Either a m -> m # foldMap :: Monoid m => (a0 -> m) -> Either a a0 -> m # foldr :: (a0 -> b -> b) -> b -> Either a a0 -> b # foldr' :: (a0 -> b -> b) -> b -> Either a a0 -> b # foldl :: (b -> a0 -> b) -> b -> Either a a0 -> b # foldl' :: (b -> a0 -> b) -> b -> Either a a0 -> b # foldr1 :: (a0 -> a0 -> a0) -> Either a a0 -> a0 # foldl1 :: (a0 -> a0 -> a0) -> Either a a0 -> a0 # toList :: Either a a0 -> [a0] # length :: Either a a0 -> Int # elem :: Eq a0 => a0 -> Either a a0 -> Bool # maximum :: Ord a0 => Either a a0 -> a0 # minimum :: Ord a0 => Either a a0 -> a0 # | |
| Traversable (Either a) | Since: base-4.7.0.0 |
Defined in Data.Traversable | |
| ToJSON a => ToJSON1 (Either a) | |
Defined in Data.Aeson.Types.ToJSON Methods liftToJSON :: (a0 -> Value) -> ([a0] -> Value) -> Either a a0 -> Value # liftToJSONList :: (a0 -> Value) -> ([a0] -> Value) -> [Either a a0] -> Value # liftToEncoding :: (a0 -> Encoding) -> ([a0] -> Encoding) -> Either a a0 -> Encoding # liftToEncodingList :: (a0 -> Encoding) -> ([a0] -> Encoding) -> [Either a a0] -> Encoding # | |
| FromJSON a => FromJSON1 (Either a) | |
| Eq a => Eq1 (Either a) | Since: base-4.9.0.0 |
| Ord a => Ord1 (Either a) | Since: base-4.9.0.0 |
Defined in Data.Functor.Classes | |
| Read a => Read1 (Either a) | Since: base-4.9.0.0 |
Defined in Data.Functor.Classes Methods liftReadsPrec :: (Int -> ReadS a0) -> ReadS [a0] -> Int -> ReadS (Either a a0) # liftReadList :: (Int -> ReadS a0) -> ReadS [a0] -> ReadS [Either a a0] # liftReadPrec :: ReadPrec a0 -> ReadPrec [a0] -> ReadPrec (Either a a0) # liftReadListPrec :: ReadPrec a0 -> ReadPrec [a0] -> ReadPrec [Either a a0] # | |
| Show a => Show1 (Either a) | Since: base-4.9.0.0 |
| Monoid m => Compactable (Either m) | |
Defined in Control.Compactable Methods compact :: Either m (Maybe a) -> Either m a # separate :: Either m (Either l r) -> (Either m l, Either m r) # filter :: (a -> Bool) -> Either m a -> Either m a # partition :: (a -> Bool) -> Either m a -> (Either m a, Either m a) # fmapMaybe :: Functor (Either m) => (a -> Maybe b) -> Either m a -> Either m b # fmapEither :: Functor (Either m) => (a -> Either l r) -> Either m a -> (Either m l, Either m r) # applyMaybe :: Applicative (Either m) => Either m (a -> Maybe b) -> Either m a -> Either m b # applyEither :: Applicative (Either m) => Either m (a -> Either l r) -> Either m a -> (Either m l, Either m r) # bindMaybe :: Monad (Either m) => Either m a -> (a -> Either m (Maybe b)) -> Either m b # bindEither :: Monad (Either m) => Either m a -> (a -> Either m (Either l r)) -> (Either m l, Either m r) # traverseMaybe :: (Applicative g, Traversable (Either m)) => (a -> g (Maybe b)) -> Either m a -> g (Either m b) # traverseEither :: (Applicative g, Traversable (Either m)) => (a -> g (Either l r)) -> Either m a -> g (Either m l, Either m r) # | |
| NFData a => NFData1 (Either a) | Since: deepseq-1.4.3.0 |
Defined in Control.DeepSeq | |
| e ~ SomeException => MonadThrow (Either e) | |
Defined in Control.Monad.Catch | |
| e ~ SomeException => MonadCatch (Either e) | Since: exceptions-0.8.3 |
| e ~ SomeException => MonadMask (Either e) | Since: exceptions-0.8.3 |
Defined in Control.Monad.Catch | |
| Hashable a => Hashable1 (Either a) | |
Defined in Data.Hashable.Class | |
| Apply (Either a) | |
| Pointed (Either a) | |
Defined in Data.Pointed | |
| Alt (Either a) | |
| Bind (Either a) | |
| Extend (Either a) | |
| Generic1 (Either a :: * -> *) | |
| MonadBase (Either e) (Either e) | |
Defined in Control.Monad.Base | |
| (Eq a, Eq b) => Eq (Either a b) | |
| (Data a, Data b) => Data (Either a b) | Since: base-4.0.0.0 |
Defined in Data.Data Methods gfoldl :: (forall d b0. Data d => c (d -> b0) -> d -> c b0) -> (forall g. g -> c g) -> Either a b -> c (Either a b) # gunfold :: (forall b0 r. Data b0 => c (b0 -> r) -> c r) -> (forall r. r -> c r) -> Constr -> c (Either a b) # toConstr :: Either a b -> Constr # dataTypeOf :: Either a b -> DataType # dataCast1 :: Typeable t => (forall d. Data d => c (t d)) -> Maybe (c (Either a b)) # dataCast2 :: Typeable t => (forall d e. (Data d, Data e) => c (t d e)) -> Maybe (c (Either a b)) # gmapT :: (forall b0. Data b0 => b0 -> b0) -> Either a b -> Either a b # gmapQl :: (r -> r' -> r) -> r -> (forall d. Data d => d -> r') -> Either a b -> r # gmapQr :: (r' -> r -> r) -> r -> (forall d. Data d => d -> r') -> Either a b -> r # gmapQ :: (forall d. Data d => d -> u) -> Either a b -> [u] # gmapQi :: Int -> (forall d. Data d => d -> u) -> Either a b -> u # gmapM :: Monad m => (forall d. Data d => d -> m d) -> Either a b -> m (Either a b) # gmapMp :: MonadPlus m => (forall d. Data d => d -> m d) -> Either a b -> m (Either a b) # gmapMo :: MonadPlus m => (forall d. Data d => d -> m d) -> Either a b -> m (Either a b) # | |
| (Ord a, Ord b) => Ord (Either a b) | |
| (Read a, Read b) => Read (Either a b) | |
| (Show a, Show b) => Show (Either a b) | |
| Generic (Either a b) | |
| Semigroup (Either a b) | Since: base-4.9.0.0 |
| (Lift a, Lift b) => Lift (Either a b) | |
| (Hashable a, Hashable b) => Hashable (Either a b) | |
Defined in Data.Hashable.Class | |
| (ToJSON a, ToJSON b) => ToJSON (Either a b) | |
Defined in Data.Aeson.Types.ToJSON | |
| (FromJSON a, FromJSON b) => FromJSON (Either a b) | |
| (NFData a, NFData b) => NFData (Either a b) | |
Defined in Control.DeepSeq | |
| (Serialise a, Serialise b) => Serialise (Either a b) | Since: serialise-0.2.0.0 |
| (Eq a, Eq b) :=> (Eq (Either a b)) | |
| (Ord a, Ord b) :=> (Ord (Either a b)) | |
| (Read a, Read b) :=> (Read (Either a b)) | |
| (Show a, Show b) :=> (Show (Either a b)) | |
| type Rep1 (Either a :: * -> *) | |
Defined in GHC.Generics type Rep1 (Either a :: * -> *) = D1 (MetaData "Either" "Data.Either" "base" False) (C1 (MetaCons "Left" PrefixI False) (S1 (MetaSel (Nothing :: Maybe Symbol) NoSourceUnpackedness NoSourceStrictness DecidedLazy) (Rec0 a)) :+: C1 (MetaCons "Right" PrefixI False) (S1 (MetaSel (Nothing :: Maybe Symbol) NoSourceUnpackedness NoSourceStrictness DecidedLazy) Par1)) | |
| type Rep (Either a b) | |
Defined in GHC.Generics type Rep (Either a b) = D1 (MetaData "Either" "Data.Either" "base" False) (C1 (MetaCons "Left" PrefixI False) (S1 (MetaSel (Nothing :: Maybe Symbol) NoSourceUnpackedness NoSourceStrictness DecidedLazy) (Rec0 a)) :+: C1 (MetaCons "Right" PrefixI False) (S1 (MetaSel (Nothing :: Maybe Symbol) NoSourceUnpackedness NoSourceStrictness DecidedLazy) (Rec0 b))) | |
either :: (a -> c) -> (b -> c) -> Either a b -> c #
Case analysis for the Either type.
If the value is Left aa;
if it is Right bb.
Examples
We create two values of type Either String IntLeft constructor and another using the Right constructor. Then
we apply "either" the length function (if we have a String)
or the "times-two" function (if we have an Int):
>>>let s = Left "foo" :: Either String Int>>>let n = Right 3 :: Either String Int>>>either length (*2) s3>>>either length (*2) n6
eitherM :: Monad m => (a -> m c) -> (b -> m c) -> m (Either a b) -> m c #
Monadic generalisation of either.
_Left :: (Choice p, Applicative f) => p a (f b) -> p (Either a c) (f (Either b c)) #
This Prism provides a Traversal for tweaking the Left half of an Either:
>>>over _Left (+1) (Left 2)Left 3
>>>over _Left (+1) (Right 2)Right 2
>>>Right 42 ^._Left :: String""
>>>Left "hello" ^._Left"hello"
It also can be turned around to obtain the embedding into the Left half of an Either:
>>>_Left # 5Left 5
>>>5^.re _LeftLeft 5
_Right :: (Choice p, Applicative f) => p a (f b) -> p (Either c a) (f (Either c b)) #
This Prism provides a Traversal for tweaking the Right half of an Either:
>>>over _Right (+1) (Left 2)Left 2
>>>over _Right (+1) (Right 2)Right 3
>>>Right "hello" ^._Right"hello"
>>>Left "hello" ^._Right :: [Double][]
It also can be turned around to obtain the embedding into the Right half of an Either:
>>>_Right # 5Right 5
>>>5^.re _RightRight 5
Enum
Class Enum defines operations on sequentially ordered types.
The enumFrom... methods are used in Haskell's translation of
arithmetic sequences.
Instances of Enum may be derived for any enumeration type (types
whose constructors have no fields). The nullary constructors are
assumed to be numbered left-to-right by fromEnum from 0 through n-1.
See Chapter 10 of the Haskell Report for more details.
For any type that is an instance of class Bounded as well as Enum,
the following should hold:
- The calls
succmaxBoundpredminBound fromEnumandtoEnumshould give a runtime error if the result value is not representable in the result type. For example,toEnum7 ::BoolenumFromandenumFromThenshould be defined with an implicit bound, thus:
enumFrom x = enumFromTo x maxBound
enumFromThen x y = enumFromThenTo x y bound
where
bound | fromEnum y >= fromEnum x = maxBound
| otherwise = minBoundMethods
the successor of a value. For numeric types, succ adds 1.
the predecessor of a value. For numeric types, pred subtracts 1.
Convert from an Int.
Convert to an Int.
It is implementation-dependent what fromEnum returns when
applied to a value that is too large to fit in an Int.
Used in Haskell's translation of [n..].
enumFromThen :: a -> a -> [a] #
Used in Haskell's translation of [n,n'..].
enumFromTo :: a -> a -> [a] #
Used in Haskell's translation of [n..m].
enumFromThenTo :: a -> a -> a -> [a] #
Used in Haskell's translation of [n,n'..m].
Instances
Equality
The Eq class defines equality (==) and inequality (/=).
All the basic datatypes exported by the Prelude are instances of Eq,
and Eq may be derived for any datatype whose constituents are also
instances of Eq.
Instances
Error
If the first argument evaluates to True, then the result is the
second argument. Otherwise an AssertionFailed exception is raised,
containing a String with the source file and line number of the
call to assert.
Assertions can normally be turned on or off with a compiler flag
(for GHC, assertions are normally on unless optimisation is turned on
with -O or the -fignore-asserts
option is given). When assertions are turned off, the first
argument to assert is ignored, and the second argument is
returned as the result.
error :: HasCallStack => [Char] -> a #
error stops execution and displays an error message.
undefined :: HasCallStack => a #
Exception
class (Typeable e, Show e) => Exception e #
Any type that you wish to throw or catch as an exception must be an
instance of the Exception class. The simplest case is a new exception
type directly below the root:
data MyException = ThisException | ThatException
deriving Show
instance Exception MyExceptionThe default method definitions in the Exception class do what we need
in this case. You can now throw and catch ThisException and
ThatException as exceptions:
*Main> throw ThisException `catch` \e -> putStrLn ("Caught " ++ show (e :: MyException))
Caught ThisException
In more complicated examples, you may wish to define a whole hierarchy of exceptions:
---------------------------------------------------------------------
-- Make the root exception type for all the exceptions in a compiler
data SomeCompilerException = forall e . Exception e => SomeCompilerException e
instance Show SomeCompilerException where
show (SomeCompilerException e) = show e
instance Exception SomeCompilerException
compilerExceptionToException :: Exception e => e -> SomeException
compilerExceptionToException = toException . SomeCompilerException
compilerExceptionFromException :: Exception e => SomeException -> Maybe e
compilerExceptionFromException x = do
SomeCompilerException a <- fromException x
cast a
---------------------------------------------------------------------
-- Make a subhierarchy for exceptions in the frontend of the compiler
data SomeFrontendException = forall e . Exception e => SomeFrontendException e
instance Show SomeFrontendException where
show (SomeFrontendException e) = show e
instance Exception SomeFrontendException where
toException = compilerExceptionToException
fromException = compilerExceptionFromException
frontendExceptionToException :: Exception e => e -> SomeException
frontendExceptionToException = toException . SomeFrontendException
frontendExceptionFromException :: Exception e => SomeException -> Maybe e
frontendExceptionFromException x = do
SomeFrontendException a <- fromException x
cast a
---------------------------------------------------------------------
-- Make an exception type for a particular frontend compiler exception
data MismatchedParentheses = MismatchedParentheses
deriving Show
instance Exception MismatchedParentheses where
toException = frontendExceptionToException
fromException = frontendExceptionFromExceptionWe can now catch a MismatchedParentheses exception as
MismatchedParentheses, SomeFrontendException or
SomeCompilerException, but not other types, e.g. IOException:
*Main> throw MismatchedParentheses `catch` \e -> putStrLn ("Caught " ++ show (e :: MismatchedParentheses))
Caught MismatchedParentheses
*Main> throw MismatchedParentheses `catch` \e -> putStrLn ("Caught " ++ show (e :: SomeFrontendException))
Caught MismatchedParentheses
*Main> throw MismatchedParentheses `catch` \e -> putStrLn ("Caught " ++ show (e :: SomeCompilerException))
Caught MismatchedParentheses
*Main> throw MismatchedParentheses `catch` \e -> putStrLn ("Caught " ++ show (e :: IOException))
*** Exception: MismatchedParentheses
Instances
data SomeException where #
The SomeException type is the root of the exception type hierarchy.
When an exception of type e is thrown, behind the scenes it is
encapsulated in a SomeException.
Constructors
| SomeException :: SomeException |
Instances
| Show SomeException | Since: base-3.0 |
Defined in GHC.Exception Methods showsPrec :: Int -> SomeException -> ShowS # show :: SomeException -> String # showList :: [SomeException] -> ShowS # | |
| Exception SomeException | Since: base-3.0 |
Defined in GHC.Exception Methods toException :: SomeException -> SomeException # fromException :: SomeException -> Maybe SomeException # displayException :: SomeException -> String # | |
data SomeAsyncException where #
Superclass for asynchronous exceptions.
Since: base-4.7.0.0
Constructors
| SomeAsyncException :: SomeAsyncException |
Instances
| Show SomeAsyncException | Since: base-4.7.0.0 |
Defined in GHC.IO.Exception Methods showsPrec :: Int -> SomeAsyncException -> ShowS # show :: SomeAsyncException -> String # showList :: [SomeAsyncException] -> ShowS # | |
| Exception SomeAsyncException | Since: base-4.7.0.0 |
Defined in GHC.IO.Exception Methods toException :: SomeAsyncException -> SomeException # fromException :: SomeException -> Maybe SomeAsyncException # | |
throwIO :: (MonadIO m, Exception e) => e -> m a #
Synchronously throw the given exception.
Since: unliftio-0.1.0.0
File
File.Text
say :: MonadIO m => Text -> m () #
Send a Text to standard output, appending a newline, and chunking the
data. By default, the chunk size is 2048 characters, so any messages below
that size will be sent as one contiguous unit. If larger messages are used,
it is possible for interleaving with other threads to occur.
Since: say-0.1.0.0
sayErr :: MonadIO m => Text -> m () #
Same as say, but data is sent to standard error.
Since: say-0.1.0.0
sayErrString :: MonadIO m => String -> m () #
Same as sayString, but data is sent to standard error.
Since: say-0.1.0.0
sayErrShow :: (MonadIO m, Show a) => a -> m () #
Same as sayShow, but data is sent to standard error.
Since: say-0.1.0.0
Foldable
class Foldable (t :: * -> *) where #
Data structures that can be folded.
For example, given a data type
data Tree a = Empty | Leaf a | Node (Tree a) a (Tree a)
a suitable instance would be
instance Foldable Tree where foldMap f Empty = mempty foldMap f (Leaf x) = f x foldMap f (Node l k r) = foldMap f l `mappend` f k `mappend` foldMap f r
This is suitable even for abstract types, as the monoid is assumed
to satisfy the monoid laws. Alternatively, one could define foldr:
instance Foldable Tree where foldr f z Empty = z foldr f z (Leaf x) = f x z foldr f z (Node l k r) = foldr f (f k (foldr f z r)) l
Foldable instances are expected to satisfy the following laws:
foldr f z t = appEndo (foldMap (Endo . f) t ) z
foldl f z t = appEndo (getDual (foldMap (Dual . Endo . flip f) t)) z
fold = foldMap id
length = getSum . foldMap (Sum . const 1)
sum, product, maximum, and minimum should all be essentially
equivalent to foldMap forms, such as
sum = getSum . foldMap Sum
but may be less defined.
If the type is also a Functor instance, it should satisfy
foldMap f = fold . fmap f
which implies that
foldMap f . fmap g = foldMap (f . g)
Methods
fold :: Monoid m => t m -> m #
Combine the elements of a structure using a monoid.
foldMap :: Monoid m => (a -> m) -> t a -> m #
Map each element of the structure to a monoid, and combine the results.
foldr :: (a -> b -> b) -> b -> t a -> b #
Right-associative fold of a structure.
In the case of lists, foldr, when applied to a binary operator, a
starting value (typically the right-identity of the operator), and a
list, reduces the list using the binary operator, from right to left:
foldr f z [x1, x2, ..., xn] == x1 `f` (x2 `f` ... (xn `f` z)...)
Note that, since the head of the resulting expression is produced by
an application of the operator to the first element of the list,
foldr can produce a terminating expression from an infinite list.
For a general Foldable structure this should be semantically identical
to,
foldr f z =foldrf z .toList
foldr' :: (a -> b -> b) -> b -> t a -> b #
Right-associative fold of a structure, but with strict application of the operator.
foldl' :: (b -> a -> b) -> b -> t a -> b #
Left-associative fold of a structure but with strict application of the operator.
This ensures that each step of the fold is forced to weak head normal
form before being applied, avoiding the collection of thunks that would
otherwise occur. This is often what you want to strictly reduce a finite
list to a single, monolithic result (e.g. length).
For a general Foldable structure this should be semantically identical
to,
foldl f z =foldl'f z .toList
List of elements of a structure, from left to right.
Test whether the structure is empty. The default implementation is optimized for structures that are similar to cons-lists, because there is no general way to do better.
Returns the size/length of a finite structure as an Int. The
default implementation is optimized for structures that are similar to
cons-lists, because there is no general way to do better.
elem :: Eq a => a -> t a -> Bool infix 4 #
Does the element occur in the structure?
The sum function computes the sum of the numbers of a structure.
product :: Num a => t a -> a #
The product function computes the product of the numbers of a
structure.
Instances
| Foldable [] | Since: base-2.1 |
Defined in Data.Foldable Methods fold :: Monoid m => [m] -> m # foldMap :: Monoid m => (a -> m) -> [a] -> m # foldr :: (a -> b -> b) -> b -> [a] -> b # foldr' :: (a -> b -> b) -> b -> [a] -> b # foldl :: (b -> a -> b) -> b -> [a] -> b # foldl' :: (b -> a -> b) -> b -> [a] -> b # foldr1 :: (a -> a -> a) -> [a] -> a # foldl1 :: (a -> a -> a) -> [a] -> a # elem :: Eq a => a -> [a] -> Bool # maximum :: Ord a => [a] -> a # | |
| Foldable Maybe | Since: base-2.1 |
Defined in Data.Foldable Methods fold :: Monoid m => Maybe m -> m # foldMap :: Monoid m => (a -> m) -> Maybe a -> m # foldr :: (a -> b -> b) -> b -> Maybe a -> b # foldr' :: (a -> b -> b) -> b -> Maybe a -> b # foldl :: (b -> a -> b) -> b -> Maybe a -> b # foldl' :: (b -> a -> b) -> b -> Maybe a -> b # foldr1 :: (a -> a -> a) -> Maybe a -> a # foldl1 :: (a -> a -> a) -> Maybe a -> a # elem :: Eq a => a -> Maybe a -> Bool # maximum :: Ord a => Maybe a -> a # minimum :: Ord a => Maybe a -> a # | |
| Foldable Par1 | |
Defined in Data.Foldable Methods fold :: Monoid m => Par1 m -> m # foldMap :: Monoid m => (a -> m) -> Par1 a -> m # foldr :: (a -> b -> b) -> b -> Par1 a -> b # foldr' :: (a -> b -> b) -> b -> Par1 a -> b # foldl :: (b -> a -> b) -> b -> Par1 a -> b # foldl' :: (b -> a -> b) -> b -> Par1 a -> b # foldr1 :: (a -> a -> a) -> Par1 a -> a # foldl1 :: (a -> a -> a) -> Par1 a -> a # elem :: Eq a => a -> Par1 a -> Bool # maximum :: Ord a => Par1 a -> a # | |
| Foldable IResult | |
Defined in Data.Aeson.Types.Internal Methods fold :: Monoid m => IResult m -> m # foldMap :: Monoid m => (a -> m) -> IResult a -> m # foldr :: (a -> b -> b) -> b -> IResult a -> b # foldr' :: (a -> b -> b) -> b -> IResult a -> b # foldl :: (b -> a -> b) -> b -> IResult a -> b # foldl' :: (b -> a -> b) -> b -> IResult a -> b # foldr1 :: (a -> a -> a) -> IResult a -> a # foldl1 :: (a -> a -> a) -> IResult a -> a # elem :: Eq a => a -> IResult a -> Bool # maximum :: Ord a => IResult a -> a # minimum :: Ord a => IResult a -> a # | |
| Foldable Result | |
Defined in Data.Aeson.Types.Internal Methods fold :: Monoid m => Result m -> m # foldMap :: Monoid m => (a -> m) -> Result a -> m # foldr :: (a -> b -> b) -> b -> Result a -> b # foldr' :: (a -> b -> b) -> b -> Result a -> b # foldl :: (b -> a -> b) -> b -> Result a -> b # foldl' :: (b -> a -> b) -> b -> Result a -> b # foldr1 :: (a -> a -> a) -> Result a -> a # foldl1 :: (a -> a -> a) -> Result a -> a # elem :: Eq a => a -> Result a -> Bool # maximum :: Ord a => Result a -> a # minimum :: Ord a => Result a -> a # | |
| Foldable Approximate | |
Defined in Data.Approximate.Type Methods fold :: Monoid m => Approximate m -> m # foldMap :: Monoid m => (a -> m) -> Approximate a -> m # foldr :: (a -> b -> b) -> b -> Approximate a -> b # foldr' :: (a -> b -> b) -> b -> Approximate a -> b # foldl :: (b -> a -> b) -> b -> Approximate a -> b # foldl' :: (b -> a -> b) -> b -> Approximate a -> b # foldr1 :: (a -> a -> a) -> Approximate a -> a # foldl1 :: (a -> a -> a) -> Approximate a -> a # toList :: Approximate a -> [a] # null :: Approximate a -> Bool # length :: Approximate a -> Int # elem :: Eq a => a -> Approximate a -> Bool # maximum :: Ord a => Approximate a -> a # minimum :: Ord a => Approximate a -> a # sum :: Num a => Approximate a -> a # product :: Num a => Approximate a -> a # | |
| Foldable Complex | |
Defined in Data.Complex Methods fold :: Monoid m => Complex m -> m # foldMap :: Monoid m => (a -> m) -> Complex a -> m # foldr :: (a -> b -> b) -> b -> Complex a -> b # foldr' :: (a -> b -> b) -> b -> Complex a -> b # foldl :: (b -> a -> b) -> b -> Complex a -> b # foldl' :: (b -> a -> b) -> b -> Complex a -> b # foldr1 :: (a -> a -> a) -> Complex a -> a # foldl1 :: (a -> a -> a) -> Complex a -> a # elem :: Eq a => a -> Complex a -> Bool # maximum :: Ord a => Complex a -> a # minimum :: Ord a => Complex a -> a # | |
| Foldable Min | Since: base-4.9.0.0 |
Defined in Data.Semigroup Methods fold :: Monoid m => Min m -> 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 # | |
| Foldable Max | Since: base-4.9.0.0 |
Defined in Data.Semigroup Methods fold :: Monoid m => Max m -> 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 # | |
| Foldable First | Since: base-4.9.0.0 |
Defined in Data.Semigroup Methods fold :: Monoid m => First m -> 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 # | |
| Foldable Last | Since: base-4.9.0.0 |
Defined in Data.Semigroup Methods fold :: Monoid m => Last m -> 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 # | |
| Foldable Option | Since: base-4.9.0.0 |
Defined in Data.Semigroup Methods fold :: Monoid m => Option m -> m # foldMap :: Monoid m => (a -> m) -> Option a -> m # foldr :: (a -> b -> b) -> b -> Option a -> b # foldr' :: (a -> b -> b) -> b -> Option a -> b # foldl :: (b -> a -> b) -> b -> Option a -> b # foldl' :: (b -> a -> b) -> b -> Option a -> b # foldr1 :: (a -> a -> a) -> Option a -> a # foldl1 :: (a -> a -> a) -> Option a -> a # elem :: Eq a => a -> Option a -> Bool # maximum :: Ord a => Option a -> a # minimum :: Ord a => Option a -> a # | |
| Foldable ZipList | |
Defined in Control.Applicative Methods fold :: Monoid m => ZipList m -> m # foldMap :: Monoid m => (a -> m) -> ZipList a -> m # foldr :: (a -> b -> b) -> b -> ZipList a -> b # foldr' :: (a -> b -> b) -> b -> ZipList a -> b # foldl :: (b -> a -> b) -> b -> ZipList a -> b # foldl' :: (b -> a -> b) -> b -> ZipList a -> b # foldr1 :: (a -> a -> a) -> ZipList a -> a # foldl1 :: (a -> a -> a) -> ZipList a -> a # elem :: Eq a => a -> ZipList a -> Bool # maximum :: Ord a => ZipList a -> a # minimum :: Ord a => ZipList a -> a # | |
| Foldable Identity | Since: base-4.8.0.0 |
Defined in Data.Functor.Identity Methods fold :: Monoid m => Identity m -> m # foldMap :: Monoid m => (a -> m) -> Identity a -> m # foldr :: (a -> b -> b) -> b -> Identity a -> b # foldr' :: (a -> b -> b) -> b -> Identity a -> b # foldl :: (b -> a -> b) -> b -> Identity a -> b # foldl' :: (b -> a -> b) -> b -> Identity a -> b # foldr1 :: (a -> a -> a) -> Identity a -> a # foldl1 :: (a -> a -> a) -> Identity a -> a # elem :: Eq a => a -> Identity a -> Bool # maximum :: Ord a => Identity a -> a # minimum :: Ord a => Identity a -> a # | |
| Foldable First | Since: base-4.8.0.0 |
Defined in Data.Foldable Methods fold :: Monoid m => First m -> 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 # | |
| Foldable Last | Since: base-4.8.0.0 |
Defined in Data.Foldable Methods fold :: Monoid m => Last m -> 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 # | |
| Foldable Dual | Since: base-4.8.0.0 |
Defined in Data.Foldable Methods fold :: Monoid m => Dual m -> 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 # | |
| Foldable Sum | Since: base-4.8.0.0 |
Defined in Data.Foldable Methods fold :: Monoid m => Sum m -> 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 # | |
| Foldable Product | Since: base-4.8.0.0 |
Defined in Data.Foldable Methods fold :: Monoid m => Product m -> 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 # | |
| Foldable NonEmpty | Since: base-4.9.0.0 |
Defined in Data.Foldable Methods fold :: Monoid m => NonEmpty m -> m # foldMap :: Monoid m => (a -> m) -> NonEmpty a -> m # foldr :: (a -> b -> b) -> b -> NonEmpty a -> b # foldr' :: (a -> b -> b) -> b -> NonEmpty a -> b # foldl :: (b -> a -> b) -> b -> NonEmpty a -> b # foldl' :: (b -> a -> b) -> b -> NonEmpty a -> b # foldr1 :: (a -> a -> a) -> NonEmpty a -> a # foldl1 :: (a -> a -> a) -> NonEmpty a -> a # elem :: Eq a => a -> NonEmpty a -> Bool # maximum :: Ord a => NonEmpty a -> a # minimum :: Ord a => NonEmpty a -> a # | |
| Foldable IntMap | |
Defined in Data.IntMap.Internal Methods fold :: Monoid m => IntMap m -> m # foldMap :: Monoid m => (a -> m) -> IntMap a -> m # foldr :: (a -> b -> b) -> b -> IntMap a -> b # foldr' :: (a -> b -> b) -> b -> IntMap a -> b # foldl :: (b -> a -> b) -> b -> IntMap a -> b # foldl' :: (b -> a -> b) -> b -> IntMap a -> b # foldr1 :: (a -> a -> a) -> IntMap a -> a # foldl1 :: (a -> a -> a) -> IntMap a -> a # elem :: Eq a => a -> IntMap a -> Bool # maximum :: Ord a => IntMap a -> a # minimum :: Ord a => IntMap a -> a # | |
| Foldable SCC | Since: containers-0.5.9 |
Defined in Data.Graph Methods fold :: Monoid m => SCC m -> m # foldMap :: Monoid m => (a -> m) -> SCC a -> m # foldr :: (a -> b -> b) -> b -> SCC a -> b # foldr' :: (a -> b -> b) -> b -> SCC a -> b # foldl :: (b -> a -> b) -> b -> SCC a -> b # foldl' :: (b -> a -> b) -> b -> SCC a -> b # foldr1 :: (a -> a -> a) -> SCC a -> a # foldl1 :: (a -> a -> a) -> SCC a -> a # elem :: Eq a => a -> SCC a -> Bool # maximum :: Ord a => SCC a -> a # | |
| Foldable Tree | |
Defined in Data.Tree Methods fold :: Monoid m => Tree m -> m # foldMap :: Monoid m => (a -> m) -> Tree a -> m # foldr :: (a -> b -> b) -> b -> Tree a -> b # foldr' :: (a -> b -> b) -> b -> Tree a -> b # foldl :: (b -> a -> b) -> b -> Tree a -> b # foldl' :: (b -> a -> b) -> b -> Tree a -> b # foldr1 :: (a -> a -> a) -> Tree a -> a # foldl1 :: (a -> a -> a) -> Tree a -> a # elem :: Eq a => a -> Tree a -> Bool # maximum :: Ord a => Tree a -> a # | |
| Foldable Seq | |
Defined in Data.Sequence.Internal Methods fold :: Monoid m => Seq m -> m # foldMap :: Monoid m => (a -> m) -> Seq a -> m # foldr :: (a -> b -> b) -> b -> Seq a -> b # foldr' :: (a -> b -> b) -> b -> Seq a -> b # foldl :: (b -> a -> b) -> b -> Seq a -> b # foldl' :: (b -> a -> b) -> b -> Seq a -> b # foldr1 :: (a -> a -> a) -> Seq a -> a # foldl1 :: (a -> a -> a) -> Seq a -> a # elem :: Eq a => a -> Seq a -> Bool # maximum :: Ord a => Seq a -> a # | |
| Foldable FingerTree | |
Defined in Data.Sequence.Internal Methods fold :: Monoid m => FingerTree m -> m # foldMap :: Monoid m => (a -> m) -> FingerTree a -> m # foldr :: (a -> b -> b) -> b -> FingerTree a -> b # foldr' :: (a -> b -> b) -> b -> FingerTree a -> b # foldl :: (b -> a -> b) -> b -> FingerTree a -> b # foldl' :: (b -> a -> b) -> b -> FingerTree a -> b # foldr1 :: (a -> a -> a) -> FingerTree a -> a # foldl1 :: (a -> a -> a) -> FingerTree a -> a # toList :: FingerTree a -> [a] # null :: FingerTree a -> Bool # length :: FingerTree a -> Int # elem :: Eq a => a -> FingerTree a -> Bool # maximum :: Ord a => FingerTree a -> a # minimum :: Ord a => FingerTree a -> a # sum :: Num a => FingerTree a -> a # product :: Num a => FingerTree a -> a # | |
| Foldable Digit | |
Defined in Data.Sequence.Internal Methods fold :: Monoid m => Digit m -> m # foldMap :: Monoid m => (a -> m) -> Digit a -> m # foldr :: (a -> b -> b) -> b -> Digit a -> b # foldr' :: (a -> b -> b) -> b -> Digit a -> b # foldl :: (b -> a -> b) -> b -> Digit a -> b # foldl' :: (b -> a -> b) -> b -> Digit a -> b # foldr1 :: (a -> a -> a) -> Digit a -> a # foldl1 :: (a -> a -> a) -> Digit a -> a # elem :: Eq a => a -> Digit a -> Bool # maximum :: Ord a => Digit a -> a # minimum :: Ord a => Digit a -> a # | |
| Foldable Node | |
Defined in Data.Sequence.Internal Methods fold :: Monoid m => Node m -> m # foldMap :: Monoid m => (a -> m) -> Node a -> m # foldr :: (a -> b -> b) -> b -> Node a -> b # foldr' :: (a -> b -> b) -> b -> Node a -> b # foldl :: (b -> a -> b) -> b -> Node a -> b # foldl' :: (b -> a -> b) -> b -> Node a -> b # foldr1 :: (a -> a -> a) -> Node a -> a # foldl1 :: (a -> a -> a) -> Node a -> a # elem :: Eq a => a -> Node a -> Bool # maximum :: Ord a => Node a -> a # | |
| Foldable Elem | |
Defined in Data.Sequence.Internal Methods fold :: Monoid m => Elem m -> m # foldMap :: Monoid m => (a -> m) -> Elem a -> m # foldr :: (a -> b -> b) -> b -> Elem a -> b # foldr' :: (a -> b -> b) -> b -> Elem a -> b # foldl :: (b -> a -> b) -> b -> Elem a -> b # foldl' :: (b -> a -> b) -> b -> Elem a -> b # foldr1 :: (a -> a -> a) -> Elem a -> a # foldl1 :: (a -> a -> a) -> Elem a -> a # elem :: Eq a => a -> Elem a -> Bool # maximum :: Ord a => Elem a -> a # | |
| Foldable ViewL | |
Defined in Data.Sequence.Internal Methods fold :: Monoid m => ViewL m -> m # foldMap :: Monoid m => (a -> m) -> ViewL a -> m # foldr :: (a -> b -> b) -> b -> ViewL a -> b # foldr' :: (a -> b -> b) -> b -> ViewL a -> b # foldl :: (b -> a -> b) -> b -> ViewL a -> b # foldl' :: (b -> a -> b) -> b -> ViewL a -> b # foldr1 :: (a -> a -> a) -> ViewL a -> a # foldl1 :: (a -> a -> a) -> ViewL a -> a # elem :: Eq a => a -> ViewL a -> Bool # maximum :: Ord a => ViewL a -> a # minimum :: Ord a => ViewL a -> a # | |
| Foldable ViewR | |
Defined in Data.Sequence.Internal Methods fold :: Monoid m => ViewR m -> m # foldMap :: Monoid m => (a -> m) -> ViewR a -> m # foldr :: (a -> b -> b) -> b -> ViewR a -> b # foldr' :: (a -> b -> b) -> b -> ViewR a -> b # foldl :: (b -> a -> b) -> b -> ViewR a -> b # foldl' :: (b -> a -> b) -> b -> ViewR a -> b # foldr1 :: (a -> a -> a) -> ViewR a -> a # foldl1 :: (a -> a -> a) -> ViewR a -> a # elem :: Eq a => a -> ViewR a -> Bool # maximum :: Ord a => ViewR a -> a # minimum :: Ord a => ViewR a -> a # | |
| Foldable Set | |
Defined in Data.Set.Internal Methods fold :: Monoid m => Set m -> m # foldMap :: Monoid m => (a -> m) -> Set a -> m # foldr :: (a -> b -> b) -> b -> Set a -> b # foldr' :: (a -> b -> b) -> b -> Set a -> b # foldl :: (b -> a -> b) -> b -> Set a -> b # foldl' :: (b -> a -> b) -> b -> Set a -> b # foldr1 :: (a -> a -> a) -> Set a -> a # foldl1 :: (a -> a -> a) -> Set a -> a # elem :: Eq a => a -> Set a -> Bool # maximum :: Ord a => Set a -> a # | |
| Foldable DList | |
Defined in Data.DList Methods fold :: Monoid m => DList m -> m # foldMap :: Monoid m => (a -> m) -> DList a -> m # foldr :: (a -> b -> b) -> b -> DList a -> b # foldr' :: (a -> b -> b) -> b -> DList a -> b # foldl :: (b -> a -> b) -> b -> DList a -> b # foldl' :: (b -> a -> b) -> b -> DList a -> b # foldr1 :: (a -> a -> a) -> DList a -> a # foldl1 :: (a -> a -> a) -> DList a -> a # elem :: Eq a => a -> DList a -> Bool # maximum :: Ord a => DList a -> a # minimum :: Ord a => DList a -> a # | |
| Foldable Hashed | |
Defined in Data.Hashable.Class Methods fold :: Monoid m => Hashed m -> m # foldMap :: Monoid m => (a -> m) -> Hashed a -> m # foldr :: (a -> b -> b) -> b -> Hashed a -> b # foldr' :: (a -> b -> b) -> b -> Hashed a -> b # foldl :: (b -> a -> b) -> b -> Hashed a -> b # foldl' :: (b -> a -> b) -> b -> Hashed a -> b # foldr1 :: (a -> a -> a) -> Hashed a -> a # foldl1 :: (a -> a -> a) -> Hashed a -> a # elem :: Eq a => a -> Hashed a -> Bool # maximum :: Ord a => Hashed a -> a # minimum :: Ord a => Hashed a -> a # | |
| Foldable ModuleName | |
Defined in Language.Haskell.Exts.Syntax Methods fold :: Monoid m => ModuleName m -> m # foldMap :: Monoid m => (a -> m) -> ModuleName a -> m # foldr :: (a -> b -> b) -> b -> ModuleName a -> b # foldr' :: (a -> b -> b) -> b -> ModuleName a -> b # foldl :: (b -> a -> b) -> b -> ModuleName a -> b # foldl' :: (b -> a -> b) -> b -> ModuleName a -> b # foldr1 :: (a -> a -> a) -> ModuleName a -> a # foldl1 :: (a -> a -> a) -> ModuleName a -> a # toList :: ModuleName a -> [a] # null :: ModuleName a -> Bool # length :: ModuleName a -> Int # elem :: Eq a => a -> ModuleName a -> Bool # maximum :: Ord a => ModuleName a -> a # minimum :: Ord a => ModuleName a -> a # sum :: Num a => ModuleName a -> a # product :: Num a => ModuleName a -> a # | |
| Foldable SpecialCon | |
Defined in Language.Haskell.Exts.Syntax Methods fold :: Monoid m => SpecialCon m -> m # foldMap :: Monoid m => (a -> m) -> SpecialCon a -> m # foldr :: (a -> b -> b) -> b -> SpecialCon a -> b # foldr' :: (a -> b -> b) -> b -> SpecialCon a -> b # foldl :: (b -> a -> b) -> b -> SpecialCon a -> b # foldl' :: (b -> a -> b) -> b -> SpecialCon a -> b # foldr1 :: (a -> a -> a) -> SpecialCon a -> a # foldl1 :: (a -> a -> a) -> SpecialCon a -> a # toList :: SpecialCon a -> [a] # null :: SpecialCon a -> Bool # length :: SpecialCon a -> Int # elem :: Eq a => a -> SpecialCon a -> Bool # maximum :: Ord a => SpecialCon a -> a # minimum :: Ord a => SpecialCon a -> a # sum :: Num a => SpecialCon a -> a # product :: Num a => SpecialCon a -> a # | |
| Foldable QName | |
Defined in Language.Haskell.Exts.Syntax Methods fold :: Monoid m => QName m -> m # foldMap :: Monoid m => (a -> m) -> QName a -> m # foldr :: (a -> b -> b) -> b -> QName a -> b # foldr' :: (a -> b -> b) -> b -> QName a -> b # foldl :: (b -> a -> b) -> b -> QName a -> b # foldl' :: (b -> a -> b) -> b -> QName a -> b # foldr1 :: (a -> a -> a) -> QName a -> a # foldl1 :: (a -> a -> a) -> QName a -> a # elem :: Eq a => a -> QName a -> Bool # maximum :: Ord a => QName a -> a # minimum :: Ord a => QName a -> a # | |
| Foldable Name | |
Defined in Language.Haskell.Exts.Syntax Methods fold :: Monoid m => Name m -> m # foldMap :: Monoid m => (a -> m) -> Name a -> m # foldr :: (a -> b -> b) -> b -> Name a -> b # foldr' :: (a -> b -> b) -> b -> Name a -> b # foldl :: (b -> a -> b) -> b -> Name a -> b # foldl' :: (b -> a -> b) -> b -> Name a -> b # foldr1 :: (a -> a -> a) -> Name a -> a # foldl1 :: (a -> a -> a) -> Name a -> a # elem :: Eq a => a -> Name a -> Bool # maximum :: Ord a => Name a -> a # | |
| Foldable IPName | |
Defined in Language.Haskell.Exts.Syntax Methods fold :: Monoid m => IPName m -> m # foldMap :: Monoid m => (a -> m) -> IPName a -> m # foldr :: (a -> b -> b) -> b -> IPName a -> b # foldr' :: (a -> b -> b) -> b -> IPName a -> b # foldl :: (b -> a -> b) -> b -> IPName a -> b # foldl' :: (b -> a -> b) -> b -> IPName a -> b # foldr1 :: (a -> a -> a) -> IPName a -> a # foldl1 :: (a -> a -> a) -> IPName a -> a # elem :: Eq a => a -> IPName a -> Bool # maximum :: Ord a => IPName a -> a # minimum :: Ord a => IPName a -> a # | |
| Foldable QOp | |
Defined in Language.Haskell.Exts.Syntax Methods fold :: Monoid m => QOp m -> m # foldMap :: Monoid m => (a -> m) -> QOp a -> m # foldr :: (a -> b -> b) -> b -> QOp a -> b # foldr' :: (a -> b -> b) -> b -> QOp a -> b # foldl :: (b -> a -> b) -> b -> QOp a -> b # foldl' :: (b -> a -> b) -> b -> QOp a -> b # foldr1 :: (a -> a -> a) -> QOp a -> a # foldl1 :: (a -> a -> a) -> QOp a -> a # elem :: Eq a => a -> QOp a -> Bool # maximum :: Ord a => QOp a -> a # | |
| Foldable Op | |
Defined in Language.Haskell.Exts.Syntax Methods fold :: Monoid m => Op m -> m # foldMap :: Monoid m => (a -> m) -> Op a -> m # foldr :: (a -> b -> b) -> b -> Op a -> b # foldr' :: (a -> b -> b) -> b -> Op a -> b # foldl :: (b -> a -> b) -> b -> Op a -> b # foldl' :: (b -> a -> b) -> b -> Op a -> b # foldr1 :: (a -> a -> a) -> Op a -> a # foldl1 :: (a -> a -> a) -> Op a -> a # elem :: Eq a => a -> Op a -> Bool # maximum :: Ord a => Op a -> a # | |
| Foldable CName | |
Defined in Language.Haskell.Exts.Syntax Methods fold :: Monoid m => CName m -> m # foldMap :: Monoid m => (a -> m) -> CName a -> m # foldr :: (a -> b -> b) -> b -> CName a -> b # foldr' :: (a -> b -> b) -> b -> CName a -> b # foldl :: (b -> a -> b) -> b -> CName a -> b # foldl' :: (b -> a -> b) -> b -> CName a -> b # foldr1 :: (a -> a -> a) -> CName a -> a # foldl1 :: (a -> a -> a) -> CName a -> a # elem :: Eq a => a -> CName a -> Bool # maximum :: Ord a => CName a -> a # minimum :: Ord a => CName a -> a # | |
| Foldable Module | |
Defined in Language.Haskell.Exts.Syntax Methods fold :: Monoid m => Module m -> m # foldMap :: Monoid m => (a -> m) -> Module a -> m # foldr :: (a -> b -> b) -> b -> Module a -> b # foldr' :: (a -> b -> b) -> b -> Module a -> b # foldl :: (b -> a -> b) -> b -> Module a -> b # foldl' :: (b -> a -> b) -> b -> Module a -> b # foldr1 :: (a -> a -> a) -> Module a -> a # foldl1 :: (a -> a -> a) -> Module a -> a # elem :: Eq a => a -> Module a -> Bool # maximum :: Ord a => Module a -> a # minimum :: Ord a => Module a -> a # | |
| Foldable ModuleHead | |
Defined in Language.Haskell.Exts.Syntax Methods fold :: Monoid m => ModuleHead m -> m # foldMap :: Monoid m => (a -> m) -> ModuleHead a -> m # foldr :: (a -> b -> b) -> b -> ModuleHead a -> b # foldr' :: (a -> b -> b) -> b -> ModuleHead a -> b # foldl :: (b -> a -> b) -> b -> ModuleHead a -> b # foldl' :: (b -> a -> b) -> b -> ModuleHead a -> b # foldr1 :: (a -> a -> a) -> ModuleHead a -> a # foldl1 :: (a -> a -> a) -> ModuleHead a -> a # toList :: ModuleHead a -> [a] # null :: ModuleHead a -> Bool # length :: ModuleHead a -> Int # elem :: Eq a => a -> ModuleHead a -> Bool # maximum :: Ord a => ModuleHead a -> a # minimum :: Ord a => ModuleHead a -> a # sum :: Num a => ModuleHead a -> a # product :: Num a => ModuleHead a -> a # | |
| Foldable ExportSpecList | |
Defined in Language.Haskell.Exts.Syntax Methods fold :: Monoid m => ExportSpecList m -> m # foldMap :: Monoid m => (a -> m) -> ExportSpecList a -> m # foldr :: (a -> b -> b) -> b -> ExportSpecList a -> b # foldr' :: (a -> b -> b) -> b -> ExportSpecList a -> b # foldl :: (b -> a -> b) -> b -> ExportSpecList a -> b # foldl' :: (b -> a -> b) -> b -> ExportSpecList a -> b # foldr1 :: (a -> a -> a) -> ExportSpecList a -> a # foldl1 :: (a -> a -> a) -> ExportSpecList a -> a # toList :: ExportSpecList a -> [a] # null :: ExportSpecList a -> Bool # length :: ExportSpecList a -> Int # elem :: Eq a => a -> ExportSpecList a -> Bool # maximum :: Ord a => ExportSpecList a -> a # minimum :: Ord a => ExportSpecList a -> a # sum :: Num a => ExportSpecList a -> a # product :: Num a => ExportSpecList a -> a # | |
| Foldable ExportSpec | |
Defined in Language.Haskell.Exts.Syntax Methods fold :: Monoid m => ExportSpec m -> m # foldMap :: Monoid m => (a -> m) -> ExportSpec a -> m # foldr :: (a -> b -> b) -> b -> ExportSpec a -> b # foldr' :: (a -> b -> b) -> b -> ExportSpec a -> b # foldl :: (b -> a -> b) -> b -> ExportSpec a -> b # foldl' :: (b -> a -> b) -> b -> ExportSpec a -> b # foldr1 :: (a -> a -> a) -> ExportSpec a -> a # foldl1 :: (a -> a -> a) -> ExportSpec a -> a # toList :: ExportSpec a -> [a] # null :: ExportSpec a -> Bool # length :: ExportSpec a -> Int # elem :: Eq a => a -> ExportSpec a -> Bool # maximum :: Ord a => ExportSpec a -> a # minimum :: Ord a => ExportSpec a -> a # sum :: Num a => ExportSpec a -> a # product :: Num a => ExportSpec a -> a # | |
| Foldable EWildcard | |
Defined in Language.Haskell.Exts.Syntax Methods fold :: Monoid m => EWildcard m -> m # foldMap :: Monoid m => (a -> m) -> EWildcard a -> m # foldr :: (a -> b -> b) -> b -> EWildcard a -> b # foldr' :: (a -> b -> b) -> b -> EWildcard a -> b # foldl :: (b -> a -> b) -> b -> EWildcard a -> b # foldl' :: (b -> a -> b) -> b -> EWildcard a -> b # foldr1 :: (a -> a -> a) -> EWildcard a -> a # foldl1 :: (a -> a -> a) -> EWildcard a -> a # toList :: EWildcard a -> [a] # length :: EWildcard a -> Int # elem :: Eq a => a -> EWildcard a -> Bool # maximum :: Ord a => EWildcard a -> a # minimum :: Ord a => EWildcard a -> a # | |
| Foldable Namespace | |
Defined in Language.Haskell.Exts.Syntax Methods fold :: Monoid m => Namespace m -> m # foldMap :: Monoid m => (a -> m) -> Namespace a -> m # foldr :: (a -> b -> b) -> b -> Namespace a -> b # foldr' :: (a -> b -> b) -> b -> Namespace a -> b # foldl :: (b -> a -> b) -> b -> Namespace a -> b # foldl' :: (b -> a -> b) -> b -> Namespace a -> b # foldr1 :: (a -> a -> a) -> Namespace a -> a # foldl1 :: (a -> a -> a) -> Namespace a -> a # toList :: Namespace a -> [a] # length :: Namespace a -> Int # elem :: Eq a => a -> Namespace a -> Bool # maximum :: Ord a => Namespace a -> a # minimum :: Ord a => Namespace a -> a # | |
| Foldable ImportDecl | |
Defined in Language.Haskell.Exts.Syntax Methods fold :: Monoid m => ImportDecl m -> m # foldMap :: Monoid m => (a -> m) -> ImportDecl a -> m # foldr :: (a -> b -> b) -> b -> ImportDecl a -> b # foldr' :: (a -> b -> b) -> b -> ImportDecl a -> b # foldl :: (b -> a -> b) -> b -> ImportDecl a -> b # foldl' :: (b -> a -> b) -> b -> ImportDecl a -> b # foldr1 :: (a -> a -> a) -> ImportDecl a -> a # foldl1 :: (a -> a -> a) -> ImportDecl a -> a # toList :: ImportDecl a -> [a] # null :: ImportDecl a -> Bool # length :: ImportDecl a -> Int # elem :: Eq a => a -> ImportDecl a -> Bool # maximum :: Ord a => ImportDecl a -> a # minimum :: Ord a => ImportDecl a -> a # sum :: Num a => ImportDecl a -> a # product :: Num a => ImportDecl a -> a # | |
| Foldable ImportSpecList | |
Defined in Language.Haskell.Exts.Syntax Methods fold :: Monoid m => ImportSpecList m -> m # foldMap :: Monoid m => (a -> m) -> ImportSpecList a -> m # foldr :: (a -> b -> b) -> b -> ImportSpecList a -> b # foldr' :: (a -> b -> b) -> b -> ImportSpecList a -> b # foldl :: (b -> a -> b) -> b -> ImportSpecList a -> b # foldl' :: (b -> a -> b) -> b -> ImportSpecList a -> b # foldr1 :: (a -> a -> a) -> ImportSpecList a -> a # foldl1 :: (a -> a -> a) -> ImportSpecList a -> a # toList :: ImportSpecList a -> [a] # null :: ImportSpecList a -> Bool # length :: ImportSpecList a -> Int # elem :: Eq a => a -> ImportSpecList a -> Bool # maximum :: Ord a => ImportSpecList a -> a # minimum :: Ord a => ImportSpecList a -> a # sum :: Num a => ImportSpecList a -> a # product :: Num a => ImportSpecList a -> a # | |
| Foldable ImportSpec | |
Defined in Language.Haskell.Exts.Syntax Methods fold :: Monoid m => ImportSpec m -> m # foldMap :: Monoid m => (a -> m) -> ImportSpec a -> m # foldr :: (a -> b -> b) -> b -> ImportSpec a -> b # foldr' :: (a -> b -> b) -> b -> ImportSpec a -> b # foldl :: (b -> a -> b) -> b -> ImportSpec a -> b # foldl' :: (b -> a -> b) -> b -> ImportSpec a -> b # foldr1 :: (a -> a -> a) -> ImportSpec a -> a # foldl1 :: (a -> a -> a) -> ImportSpec a -> a # toList :: ImportSpec a -> [a] # null :: ImportSpec a -> Bool # length :: ImportSpec a -> Int # elem :: Eq a => a -> ImportSpec a -> Bool # maximum :: Ord a => ImportSpec a -> a # minimum :: Ord a => ImportSpec a -> a # sum :: Num a => ImportSpec a -> a # product :: Num a => ImportSpec a -> a # | |
| Foldable Assoc | |
Defined in Language.Haskell.Exts.Syntax Methods fold :: Monoid m => Assoc m -> m # foldMap :: Monoid m => (a -> m) -> Assoc a -> m # foldr :: (a -> b -> b) -> b -> Assoc a -> b # foldr' :: (a -> b -> b) -> b -> Assoc a -> b # foldl :: (b -> a -> b) -> b -> Assoc a -> b # foldl' :: (b -> a -> b) -> b -> Assoc a -> b # foldr1 :: (a -> a -> a) -> Assoc a -> a # foldl1 :: (a -> a -> a) -> Assoc a -> a # elem :: Eq a => a -> Assoc a -> Bool # maximum :: Ord a => Assoc a -> a # minimum :: Ord a => Assoc a -> a # | |
| Foldable Decl | |
Defined in Language.Haskell.Exts.Syntax Methods fold :: Monoid m => Decl m -> m # foldMap :: Monoid m => (a -> m) -> Decl a -> m # foldr :: (a -> b -> b) -> b -> Decl a -> b # foldr' :: (a -> b -> b) -> b -> Decl a -> b # foldl :: (b -> a -> b) -> b -> Decl a -> b # foldl' :: (b -> a -> b) -> b -> Decl a -> b # foldr1 :: (a -> a -> a) -> Decl a -> a # foldl1 :: (a -> a -> a) -> Decl a -> a # elem :: Eq a => a -> Decl a -> Bool # maximum :: Ord a => Decl a -> a # | |
| Foldable PatternSynDirection | |
Defined in Language.Haskell.Exts.Syntax Methods fold :: Monoid m => PatternSynDirection m -> m # foldMap :: Monoid m => (a -> m) -> PatternSynDirection a -> m # foldr :: (a -> b -> b) -> b -> PatternSynDirection a -> b # foldr' :: (a -> b -> b) -> b -> PatternSynDirection a -> b # foldl :: (b -> a -> b) -> b -> PatternSynDirection a -> b # foldl' :: (b -> a -> b) -> b -> PatternSynDirection a -> b # foldr1 :: (a -> a -> a) -> PatternSynDirection a -> a # foldl1 :: (a -> a -> a) -> PatternSynDirection a -> a # toList :: PatternSynDirection a -> [a] # null :: PatternSynDirection a -> Bool # length :: PatternSynDirection a -> Int # elem :: Eq a => a -> PatternSynDirection a -> Bool # maximum :: Ord a => PatternSynDirection a -> a # minimum :: Ord a => PatternSynDirection a -> a # sum :: Num a => PatternSynDirection a -> a # product :: Num a => PatternSynDirection a -> a # | |
| Foldable TypeEqn | |
Defined in Language.Haskell.Exts.Syntax Methods fold :: Monoid m => TypeEqn m -> m # foldMap :: Monoid m => (a -> m) -> TypeEqn a -> m # foldr :: (a -> b -> b) -> b -> TypeEqn a -> b # foldr' :: (a -> b -> b) -> b -> TypeEqn a -> b # foldl :: (b -> a -> b) -> b -> TypeEqn a -> b # foldl' :: (b -> a -> b) -> b -> TypeEqn a -> b # foldr1 :: (a -> a -> a) -> TypeEqn a -> a # foldl1 :: (a -> a -> a) -> TypeEqn a -> a # elem :: Eq a => a -> TypeEqn a -> Bool # maximum :: Ord a => TypeEqn a -> a # minimum :: Ord a => TypeEqn a -> a # | |
| Foldable Annotation | |
Defined in Language.Haskell.Exts.Syntax Methods fold :: Monoid m => Annotation m -> m # foldMap :: Monoid m => (a -> m) -> Annotation a -> m # foldr :: (a -> b -> b) -> b -> Annotation a -> b # foldr' :: (a -> b -> b) -> b -> Annotation a -> b # foldl :: (b -> a -> b) -> b -> Annotation a -> b # foldl' :: (b -> a -> b) -> b -> Annotation a -> b # foldr1 :: (a -> a -> a) -> Annotation a -> a # foldl1 :: (a -> a -> a) -> Annotation a -> a # toList :: Annotation a -> [a] # null :: Annotation a -> Bool # length :: Annotation a -> Int # elem :: Eq a => a -> Annotation a -> Bool # maximum :: Ord a => Annotation a -> a # minimum :: Ord a => Annotation a -> a # sum :: Num a => Annotation a -> a # product :: Num a => Annotation a -> a # | |
| Foldable BooleanFormula | |
Defined in Language.Haskell.Exts.Syntax Methods fold :: Monoid m => BooleanFormula m -> m # foldMap :: Monoid m => (a -> m) -> BooleanFormula a -> m # foldr :: (a -> b -> b) -> b -> BooleanFormula a -> b # foldr' :: (a -> b -> b) -> b -> BooleanFormula a -> b # foldl :: (b -> a -> b) -> b -> BooleanFormula a -> b # foldl' :: (b -> a -> b) -> b -> BooleanFormula a -> b # foldr1 :: (a -> a -> a) -> BooleanFormula a -> a # foldl1 :: (a -> a -> a) -> BooleanFormula a -> a # toList :: BooleanFormula a -> [a] # null :: BooleanFormula a -> Bool # length :: BooleanFormula a -> Int # elem :: Eq a => a -> BooleanFormula a -> Bool # maximum :: Ord a => BooleanFormula a -> a # minimum :: Ord a => BooleanFormula a -> a # sum :: Num a => BooleanFormula a -> a # product :: Num a => BooleanFormula a -> a # | |
| Foldable Role | |
Defined in Language.Haskell.Exts.Syntax Methods fold :: Monoid m => Role m -> m # foldMap :: Monoid m => (a -> m) -> Role a -> m # foldr :: (a -> b -> b) -> b -> Role a -> b # foldr' :: (a -> b -> b) -> b -> Role a -> b # foldl :: (b -> a -> b) -> b -> Role a -> b # foldl' :: (b -> a -> b) -> b -> Role a -> b # foldr1 :: (a -> a -> a) -> Role a -> a # foldl1 :: (a -> a -> a) -> Role a -> a # elem :: Eq a => a -> Role a -> Bool # maximum :: Ord a => Role a -> a # | |
| Foldable DataOrNew | |
Defined in Language.Haskell.Exts.Syntax Methods fold :: Monoid m => DataOrNew m -> m # foldMap :: Monoid m => (a -> m) -> DataOrNew a -> m # foldr :: (a -> b -> b) -> b -> DataOrNew a -> b # foldr' :: (a -> b -> b) -> b -> DataOrNew a -> b # foldl :: (b -> a -> b) -> b -> DataOrNew a -> b # foldl' :: (b -> a -> b) -> b -> DataOrNew a -> b # foldr1 :: (a -> a -> a) -> DataOrNew a -> a # foldl1 :: (a -> a -> a) -> DataOrNew a -> a # toList :: DataOrNew a -> [a] # length :: DataOrNew a -> Int # elem :: Eq a => a -> DataOrNew a -> Bool # maximum :: Ord a => DataOrNew a -> a # minimum :: Ord a => DataOrNew a -> a # | |
| Foldable InjectivityInfo | |
Defined in Language.Haskell.Exts.Syntax Methods fold :: Monoid m => InjectivityInfo m -> m # foldMap :: Monoid m => (a -> m) -> InjectivityInfo a -> m # foldr :: (a -> b -> b) -> b -> InjectivityInfo a -> b # foldr' :: (a -> b -> b) -> b -> InjectivityInfo a -> b # foldl :: (b -> a -> b) -> b -> InjectivityInfo a -> b # foldl' :: (b -> a -> b) -> b -> InjectivityInfo a -> b # foldr1 :: (a -> a -> a) -> InjectivityInfo a -> a # foldl1 :: (a -> a -> a) -> InjectivityInfo a -> a # toList :: InjectivityInfo a -> [a] # null :: InjectivityInfo a -> Bool # length :: InjectivityInfo a -> Int # elem :: Eq a => a -> InjectivityInfo a -> Bool # maximum :: Ord a => InjectivityInfo a -> a # minimum :: Ord a => InjectivityInfo a -> a # sum :: Num a => InjectivityInfo a -> a # product :: Num a => InjectivityInfo a -> a # | |
| Foldable ResultSig | |
Defined in Language.Haskell.Exts.Syntax Methods fold :: Monoid m => ResultSig m -> m # foldMap :: Monoid m => (a -> m) -> ResultSig a -> m # foldr :: (a -> b -> b) -> b -> ResultSig a -> b # foldr' :: (a -> b -> b) -> b -> ResultSig a -> b # foldl :: (b -> a -> b) -> b -> ResultSig a -> b # foldl' :: (b -> a -> b) -> b -> ResultSig a -> b # foldr1 :: (a -> a -> a) -> ResultSig a -> a # foldl1 :: (a -> a -> a) -> ResultSig a -> a # toList :: ResultSig a -> [a] # length :: ResultSig a -> Int # elem :: Eq a => a -> ResultSig a -> Bool # maximum :: Ord a => ResultSig a -> a # minimum :: Ord a => ResultSig a -> a # | |
| Foldable DeclHead | |
Defined in Language.Haskell.Exts.Syntax Methods fold :: Monoid m => DeclHead m -> m # foldMap :: Monoid m => (a -> m) -> DeclHead a -> m # foldr :: (a -> b -> b) -> b -> DeclHead a -> b # foldr' :: (a -> b -> b) -> b -> DeclHead a -> b # foldl :: (b -> a -> b) -> b -> DeclHead a -> b # foldl' :: (b -> a -> b) -> b -> DeclHead a -> b # foldr1 :: (a -> a -> a) -> DeclHead a -> a # foldl1 :: (a -> a -> a) -> DeclHead a -> a # elem :: Eq a => a -> DeclHead a -> Bool # maximum :: Ord a => DeclHead a -> a # minimum :: Ord a => DeclHead a -> a # | |
| Foldable InstRule | |
Defined in Language.Haskell.Exts.Syntax Methods fold :: Monoid m => InstRule m -> m # foldMap :: Monoid m => (a -> m) -> InstRule a -> m # foldr :: (a -> b -> b) -> b -> InstRule a -> b # foldr' :: (a -> b -> b) -> b -> InstRule a -> b # foldl :: (b -> a -> b) -> b -> InstRule a -> b # foldl' :: (b -> a -> b) -> b -> InstRule a -> b # foldr1 :: (a -> a -> a) -> InstRule a -> a # foldl1 :: (a -> a -> a) -> InstRule a -> a # elem :: Eq a => a -> InstRule a -> Bool # maximum :: Ord a => InstRule a -> a # minimum :: Ord a => InstRule a -> a # | |
| Foldable InstHead | |
Defined in Language.Haskell.Exts.Syntax Methods fold :: Monoid m => InstHead m -> m # foldMap :: Monoid m => (a -> m) -> InstHead a -> m # foldr :: (a -> b -> b) -> b -> InstHead a -> b # foldr' :: (a -> b -> b) -> b -> InstHead a -> b # foldl :: (b -> a -> b) -> b -> InstHead a -> b # foldl' :: (b -> a -> b) -> b -> InstHead a -> b # foldr1 :: (a -> a -> a) -> InstHead a -> a # foldl1 :: (a -> a -> a) -> InstHead a -> a # elem :: Eq a => a -> InstHead a -> Bool # maximum :: Ord a => InstHead a -> a # minimum :: Ord a => InstHead a -> a # | |
| Foldable Deriving | |
Defined in Language.Haskell.Exts.Syntax Methods fold :: Monoid m => Deriving m -> m # foldMap :: Monoid m => (a -> m) -> Deriving a -> m # foldr :: (a -> b -> b) -> b -> Deriving a -> b # foldr' :: (a -> b -> b) -> b -> Deriving a -> b # foldl :: (b -> a -> b) -> b -> Deriving a -> b # foldl' :: (b -> a -> b) -> b -> Deriving a -> b # foldr1 :: (a -> a -> a) -> Deriving a -> a # foldl1 :: (a -> a -> a) -> Deriving a -> a # elem :: Eq a => a -> Deriving a -> Bool # maximum :: Ord a => Deriving a -> a # minimum :: Ord a => Deriving a -> a # | |
| Foldable DerivStrategy | |
Defined in Language.Haskell.Exts.Syntax Methods fold :: Monoid m => DerivStrategy m -> m # foldMap :: Monoid m => (a -> m) -> DerivStrategy a -> m # foldr :: (a -> b -> b) -> b -> DerivStrategy a -> b # foldr' :: (a -> b -> b) -> b -> DerivStrategy a -> b # foldl :: (b -> a -> b) -> b -> DerivStrategy a -> b # foldl' :: (b -> a -> b) -> b -> DerivStrategy a -> b # foldr1 :: (a -> a -> a) -> DerivStrategy a -> a # foldl1 :: (a -> a -> a) -> DerivStrategy a -> a # toList :: DerivStrategy a -> [a] # null :: DerivStrategy a -> Bool # length :: DerivStrategy a -> Int # elem :: Eq a => a -> DerivStrategy a -> Bool # maximum :: Ord a => DerivStrategy a -> a # minimum :: Ord a => DerivStrategy a -> a # sum :: Num a => DerivStrategy a -> a # product :: Num a => DerivStrategy a -> a # | |
| Foldable Binds | |
Defined in Language.Haskell.Exts.Syntax Methods fold :: Monoid m => Binds m -> m # foldMap :: Monoid m => (a -> m) -> Binds a -> m # foldr :: (a -> b -> b) -> b -> Binds a -> b # foldr' :: (a -> b -> b) -> b -> Binds a -> b # foldl :: (b -> a -> b) -> b -> Binds a -> b # foldl' :: (b -> a -> b) -> b -> Binds a -> b # foldr1 :: (a -> a -> a) -> Binds a -> a # foldl1 :: (a -> a -> a) -> Binds a -> a # elem :: Eq a => a -> Binds a -> Bool # maximum :: Ord a => Binds a -> a # minimum :: Ord a => Binds a -> a # | |
| Foldable IPBind | |
Defined in Language.Haskell.Exts.Syntax Methods fold :: Monoid m => IPBind m -> m # foldMap :: Monoid m => (a -> m) -> IPBind a -> m # foldr :: (a -> b -> b) -> b -> IPBind a -> b # foldr' :: (a -> b -> b) -> b -> IPBind a -> b # foldl :: (b -> a -> b) -> b -> IPBind a -> b # foldl' :: (b -> a -> b) -> b -> IPBind a -> b # foldr1 :: (a -> a -> a) -> IPBind a -> a # foldl1 :: (a -> a -> a) -> IPBind a -> a # elem :: Eq a => a -> IPBind a -> Bool # maximum :: Ord a => IPBind a -> a # minimum :: Ord a => IPBind a -> a # | |
| Foldable Match | |
Defined in Language.Haskell.Exts.Syntax Methods fold :: Monoid m => Match m -> m # foldMap :: Monoid m => (a -> m) -> Match a -> m # foldr :: (a -> b -> b) -> b -> Match a -> b # foldr' :: (a -> b -> b) -> b -> Match a -> b # foldl :: (b -> a -> b) -> b -> Match a -> b # foldl' :: (b -> a -> b) -> b -> Match a -> b # foldr1 :: (a -> a -> a) -> Match a -> a # foldl1 :: (a -> a -> a) -> Match a -> a # elem :: Eq a => a -> Match a -> Bool # maximum :: Ord a => Match a -> a # minimum :: Ord a => Match a -> a # | |
| Foldable QualConDecl | |
Defined in Language.Haskell.Exts.Syntax Methods fold :: Monoid m => QualConDecl m -> m # foldMap :: Monoid m => (a -> m) -> QualConDecl a -> m # foldr :: (a -> b -> b) -> b -> QualConDecl a -> b # foldr' :: (a -> b -> b) -> b -> QualConDecl a -> b # foldl :: (b -> a -> b) -> b -> QualConDecl a -> b # foldl' :: (b -> a -> b) -> b -> QualConDecl a -> b # foldr1 :: (a -> a -> a) -> QualConDecl a -> a # foldl1 :: (a -> a -> a) -> QualConDecl a -> a # toList :: QualConDecl a -> [a] # null :: QualConDecl a -> Bool # length :: QualConDecl a -> Int # elem :: Eq a => a -> QualConDecl a -> Bool # maximum :: Ord a => QualConDecl a -> a # minimum :: Ord a => QualConDecl a -> a # sum :: Num a => QualConDecl a -> a # product :: Num a => QualConDecl a -> a # | |
| Foldable ConDecl | |
Defined in Language.Haskell.Exts.Syntax Methods fold :: Monoid m => ConDecl m -> m # foldMap :: Monoid m => (a -> m) -> ConDecl a -> m # foldr :: (a -> b -> b) -> b -> ConDecl a -> b # foldr' :: (a -> b -> b) -> b -> ConDecl a -> b # foldl :: (b -> a -> b) -> b -> ConDecl a -> b # foldl' :: (b -> a -> b) -> b -> ConDecl a -> b # foldr1 :: (a -> a -> a) -> ConDecl a -> a # foldl1 :: (a -> a -> a) -> ConDecl a -> a # elem :: Eq a => a -> ConDecl a -> Bool # maximum :: Ord a => ConDecl a -> a # minimum :: Ord a => ConDecl a -> a # | |
| Foldable FieldDecl | |
Defined in Language.Haskell.Exts.Syntax Methods fold :: Monoid m => FieldDecl m -> m # foldMap :: Monoid m => (a -> m) -> FieldDecl a -> m # foldr :: (a -> b -> b) -> b -> FieldDecl a -> b # foldr' :: (a -> b -> b) -> b -> FieldDecl a -> b # foldl :: (b -> a -> b) -> b -> FieldDecl a -> b # foldl' :: (b -> a -> b) -> b -> FieldDecl a -> b # foldr1 :: (a -> a -> a) -> FieldDecl a -> a # foldl1 :: (a -> a -> a) -> FieldDecl a -> a # toList :: FieldDecl a -> [a] # length :: FieldDecl a -> Int # elem :: Eq a => a -> FieldDecl a -> Bool # maximum :: Ord a => FieldDecl a -> a # minimum :: Ord a => FieldDecl a -> a # | |
| Foldable GadtDecl | |
Defined in Language.Haskell.Exts.Syntax Methods fold :: Monoid m => GadtDecl m -> m # foldMap :: Monoid m => (a -> m) -> GadtDecl a -> m # foldr :: (a -> b -> b) -> b -> GadtDecl a -> b # foldr' :: (a -> b -> b) -> b -> GadtDecl a -> b # foldl :: (b -> a -> b) -> b -> GadtDecl a -> b # foldl' :: (b -> a -> b) -> b -> GadtDecl a -> b # foldr1 :: (a -> a -> a) -> GadtDecl a -> a # foldl1 :: (a -> a -> a) -> GadtDecl a -> a # elem :: Eq a => a -> GadtDecl a -> Bool # maximum :: Ord a => GadtDecl a -> a # minimum :: Ord a => GadtDecl a -> a # | |
| Foldable ClassDecl | |
Defined in Language.Haskell.Exts.Syntax Methods fold :: Monoid m => ClassDecl m -> m # foldMap :: Monoid m => (a -> m) -> ClassDecl a -> m # foldr :: (a -> b -> b) -> b -> ClassDecl a -> b # foldr' :: (a -> b -> b) -> b -> ClassDecl a -> b # foldl :: (b -> a -> b) -> b -> ClassDecl a -> b # foldl' :: (b -> a -> b) -> b -> ClassDecl a -> b # foldr1 :: (a -> a -> a) -> ClassDecl a -> a # foldl1 :: (a -> a -> a) -> ClassDecl a -> a # toList :: ClassDecl a -> [a] # length :: ClassDecl a -> Int # elem :: Eq a => a -> ClassDecl a -> Bool # maximum :: Ord a => ClassDecl a -> a # minimum :: Ord a => ClassDecl a -> a # | |
| Foldable InstDecl | |
Defined in Language.Haskell.Exts.Syntax Methods fold :: Monoid m => InstDecl m -> m # foldMap :: Monoid m => (a -> m) -> InstDecl a -> m # foldr :: (a -> b -> b) -> b -> InstDecl a -> b # foldr' :: (a -> b -> b) -> b -> InstDecl a -> b # foldl :: (b -> a -> b) -> b -> InstDecl a -> b # foldl' :: (b -> a -> b) -> b -> InstDecl a -> b # foldr1 :: (a -> a -> a) -> InstDecl a -> a # foldl1 :: (a -> a -> a) -> InstDecl a -> a # elem :: Eq a => a -> InstDecl a -> Bool # maximum :: Ord a => InstDecl a -> a # minimum :: Ord a => InstDecl a -> a # | |
| Foldable BangType | |
Defined in Language.Haskell.Exts.Syntax Methods fold :: Monoid m => BangType m -> m # foldMap :: Monoid m => (a -> m) -> BangType a -> m # foldr :: (a -> b -> b) -> b -> BangType a -> b # foldr' :: (a -> b -> b) -> b -> BangType a -> b # foldl :: (b -> a -> b) -> b -> BangType a -> b # foldl' :: (b -> a -> b) -> b -> BangType a -> b # foldr1 :: (a -> a -> a) -> BangType a -> a # foldl1 :: (a -> a -> a) -> BangType a -> a # elem :: Eq a => a -> BangType a -> Bool # maximum :: Ord a => BangType a -> a # minimum :: Ord a => BangType a -> a # | |
| Foldable Unpackedness | |
Defined in Language.Haskell.Exts.Syntax Methods fold :: Monoid m => Unpackedness m -> m # foldMap :: Monoid m => (a -> m) -> Unpackedness a -> m # foldr :: (a -> b -> b) -> b -> Unpackedness a -> b # foldr' :: (a -> b -> b) -> b -> Unpackedness a -> b # foldl :: (b -> a -> b) -> b -> Unpackedness a -> b # foldl' :: (b -> a -> b) -> b -> Unpackedness a -> b # foldr1 :: (a -> a -> a) -> Unpackedness a -> a # foldl1 :: (a -> a -> a) -> Unpackedness a -> a # toList :: Unpackedness a -> [a] # null :: Unpackedness a -> Bool # length :: Unpackedness a -> Int # elem :: Eq a => a -> Unpackedness a -> Bool # maximum :: Ord a => Unpackedness a -> a # minimum :: Ord a => Unpackedness a -> a # sum :: Num a => Unpackedness a -> a # product :: Num a => Unpackedness a -> a # | |
| Foldable Rhs | |
Defined in Language.Haskell.Exts.Syntax Methods fold :: Monoid m => Rhs m -> m # foldMap :: Monoid m => (a -> m) -> Rhs a -> m # foldr :: (a -> b -> b) -> b -> Rhs a -> b # foldr' :: (a -> b -> b) -> b -> Rhs a -> b # foldl :: (b -> a -> b) -> b -> Rhs a -> b # foldl' :: (b -> a -> b) -> b -> Rhs a -> b # foldr1 :: (a -> a -> a) -> Rhs a -> a # foldl1 :: (a -> a -> a) -> Rhs a -> a # elem :: Eq a => a -> Rhs a -> Bool # maximum :: Ord a => Rhs a -> a # | |
| Foldable GuardedRhs | |
Defined in Language.Haskell.Exts.Syntax Methods fold :: Monoid m => GuardedRhs m -> m # foldMap :: Monoid m => (a -> m) -> GuardedRhs a -> m # foldr :: (a -> b -> b) -> b -> GuardedRhs a -> b # foldr' :: (a -> b -> b) -> b -> GuardedRhs a -> b # foldl :: (b -> a -> b) -> b -> GuardedRhs a -> b # foldl' :: (b -> a -> b) -> b -> GuardedRhs a -> b # foldr1 :: (a -> a -> a) -> GuardedRhs a -> a # foldl1 :: (a -> a -> a) -> GuardedRhs a -> a # toList :: GuardedRhs a -> [a] # null :: GuardedRhs a -> Bool # length :: GuardedRhs a -> Int # elem :: Eq a => a -> GuardedRhs a -> Bool # maximum :: Ord a => GuardedRhs a -> a # minimum :: Ord a => GuardedRhs a -> a # sum :: Num a => GuardedRhs a -> a # product :: Num a => GuardedRhs a -> a # | |
| Foldable Type | |
Defined in Language.Haskell.Exts.Syntax Methods fold :: Monoid m => Type m -> m # foldMap :: Monoid m => (a -> m) -> Type a -> m # foldr :: (a -> b -> b) -> b -> Type a -> b # foldr' :: (a -> b -> b) -> b -> Type a -> b # foldl :: (b -> a -> b) -> b -> Type a -> b # foldl' :: (b -> a -> b) -> b -> Type a -> b # foldr1 :: (a -> a -> a) -> Type a -> a # foldl1 :: (a -> a -> a) -> Type a -> a # elem :: Eq a => a -> Type a -> Bool # maximum :: Ord a => Type a -> a # | |
| Foldable MaybePromotedName | |
Defined in Language.Haskell.Exts.Syntax Methods fold :: Monoid m => MaybePromotedName m -> m # foldMap :: Monoid m => (a -> m) -> MaybePromotedName a -> m # foldr :: (a -> b -> b) -> b -> MaybePromotedName a -> b # foldr' :: (a -> b -> b) -> b -> MaybePromotedName a -> b # foldl :: (b -> a -> b) -> b -> MaybePromotedName a -> b # foldl' :: (b -> a -> b) -> b -> MaybePromotedName a -> b # foldr1 :: (a -> a -> a) -> MaybePromotedName a -> a # foldl1 :: (a -> a -> a) -> MaybePromotedName a -> a # toList :: MaybePromotedName a -> [a] # null :: MaybePromotedName a -> Bool # length :: MaybePromotedName a -> Int # elem :: Eq a => a -> MaybePromotedName a -> Bool # maximum :: Ord a => MaybePromotedName a -> a # minimum :: Ord a => MaybePromotedName a -> a # sum :: Num a => MaybePromotedName a -> a # product :: Num a => MaybePromotedName a -> a # | |
| Foldable Promoted | |
Defined in Language.Haskell.Exts.Syntax Methods fold :: Monoid m => Promoted m -> m # foldMap :: Monoid m => (a -> m) -> Promoted a -> m # foldr :: (a -> b -> b) -> b -> Promoted a -> b # foldr' :: (a -> b -> b) -> b -> Promoted a -> b # foldl :: (b -> a -> b) -> b -> Promoted a -> b # foldl' :: (b -> a -> b) -> b -> Promoted a -> b # foldr1 :: (a -> a -> a) -> Promoted a -> a # foldl1 :: (a -> a -> a) -> Promoted a -> a # elem :: Eq a => a -> Promoted a -> Bool # maximum :: Ord a => Promoted a -> a # minimum :: Ord a => Promoted a -> a # | |
| Foldable TyVarBind | |
Defined in Language.Haskell.Exts.Syntax Methods fold :: Monoid m => TyVarBind m -> m # foldMap :: Monoid m => (a -> m) -> TyVarBind a -> m # foldr :: (a -> b -> b) -> b -> TyVarBind a -> b # foldr' :: (a -> b -> b) -> b -> TyVarBind a -> b # foldl :: (b -> a -> b) -> b -> TyVarBind a -> b # foldl' :: (b -> a -> b) -> b -> TyVarBind a -> b # foldr1 :: (a -> a -> a) -> TyVarBind a -> a # foldl1 :: (a -> a -> a) -> TyVarBind a -> a # toList :: TyVarBind a -> [a] # length :: TyVarBind a -> Int # elem :: Eq a => a -> TyVarBind a -> Bool # maximum :: Ord a => TyVarBind a -> a # minimum :: Ord a => TyVarBind a -> a # | |
| Foldable Kind | |
Defined in Language.Haskell.Exts.Syntax Methods fold :: Monoid m => Kind m -> m # foldMap :: Monoid m => (a -> m) -> Kind a -> m # foldr :: (a -> b -> b) -> b -> Kind a -> b # foldr' :: (a -> b -> b) -> b -> Kind a -> b # foldl :: (b -> a -> b) -> b -> Kind a -> b # foldl' :: (b -> a -> b) -> b -> Kind a -> b # foldr1 :: (a -> a -> a) -> Kind a -> a # foldl1 :: (a -> a -> a) -> Kind a -> a # elem :: Eq a => a -> Kind a -> Bool # maximum :: Ord a => Kind a -> a # | |
| Foldable FunDep | |
Defined in Language.Haskell.Exts.Syntax Methods fold :: Monoid m => FunDep m -> m # foldMap :: Monoid m => (a -> m) -> FunDep a -> m # foldr :: (a -> b -> b) -> b -> FunDep a -> b # foldr' :: (a -> b -> b) -> b -> FunDep a -> b # foldl :: (b -> a -> b) -> b -> FunDep a -> b # foldl' :: (b -> a -> b) -> b -> FunDep a -> b # foldr1 :: (a -> a -> a) -> FunDep a -> a # foldl1 :: (a -> a -> a) -> FunDep a -> a # elem :: Eq a => a -> FunDep a -> Bool # maximum :: Ord a => FunDep a -> a # minimum :: Ord a => FunDep a -> a # | |
| Foldable Context | |
Defined in Language.Haskell.Exts.Syntax Methods fold :: Monoid m => Context m -> m # foldMap :: Monoid m => (a -> m) -> Context a -> m # foldr :: (a -> b -> b) -> b -> Context a -> b # foldr' :: (a -> b -> b) -> b -> Context a -> b # foldl :: (b -> a -> b) -> b -> Context a -> b # foldl' :: (b -> a -> b) -> b -> Context a -> b # foldr1 :: (a -> a -> a) -> Context a -> a # foldl1 :: (a -> a -> a) -> Context a -> a # elem :: Eq a => a -> Context a -> Bool # maximum :: Ord a => Context a -> a # minimum :: Ord a => Context a -> a # | |
| Foldable Asst | |
Defined in Language.Haskell.Exts.Syntax Methods fold :: Monoid m => Asst m -> m # foldMap :: Monoid m => (a -> m) -> Asst a -> m # foldr :: (a -> b -> b) -> b -> Asst a -> b # foldr' :: (a -> b -> b) -> b -> Asst a -> b # foldl :: (b -> a -> b) -> b -> Asst a -> b # foldl' :: (b -> a -> b) -> b -> Asst a -> b # foldr1 :: (a -> a -> a) -> Asst a -> a # foldl1 :: (a -> a -> a) -> Asst a -> a # elem :: Eq a => a -> Asst a -> Bool # maximum :: Ord a => Asst a -> a # | |
| Foldable Literal | |
Defined in Language.Haskell.Exts.Syntax Methods fold :: Monoid m => Literal m -> m # foldMap :: Monoid m => (a -> m) -> Literal a -> m # foldr :: (a -> b -> b) -> b -> Literal a -> b # foldr' :: (a -> b -> b) -> b -> Literal a -> b # foldl :: (b -> a -> b) -> b -> Literal a -> b # foldl' :: (b -> a -> b) -> b -> Literal a -> b # foldr1 :: (a -> a -> a) -> Literal a -> a # foldl1 :: (a -> a -> a) -> Literal a -> a # elem :: Eq a => a -> Literal a -> Bool # maximum :: Ord a => Literal a -> a # minimum :: Ord a => Literal a -> a # | |
| Foldable Sign | |
Defined in Language.Haskell.Exts.Syntax Methods fold :: Monoid m => Sign m -> m # foldMap :: Monoid m => (a -> m) -> Sign a -> m # foldr :: (a -> b -> b) -> b -> Sign a -> b # foldr' :: (a -> b -> b) -> b -> Sign a -> b # foldl :: (b -> a -> b) -> b -> Sign a -> b # foldl' :: (b -> a -> b) -> b -> Sign a -> b # foldr1 :: (a -> a -> a) -> Sign a -> a # foldl1 :: (a -> a -> a) -> Sign a -> a # elem :: Eq a => a -> Sign a -> Bool # maximum :: Ord a => Sign a -> a # | |
| Foldable Exp | |
Defined in Language.Haskell.Exts.Syntax Methods fold :: Monoid m => Exp m -> m # foldMap :: Monoid m => (a -> m) -> Exp a -> m # foldr :: (a -> b -> b) -> b -> Exp a -> b # foldr' :: (a -> b -> b) -> b -> Exp a -> b # foldl :: (b -> a -> b) -> b -> Exp a -> b # foldl' :: (b -> a -> b) -> b -> Exp a -> b # foldr1 :: (a -> a -> a) -> Exp a -> a # foldl1 :: (a -> a -> a) -> Exp a -> a # elem :: Eq a => a -> Exp a -> Bool # maximum :: Ord a => Exp a -> a # | |
| Foldable XName | |
Defined in Language.Haskell.Exts.Syntax Methods fold :: Monoid m => XName m -> m # foldMap :: Monoid m => (a -> m) -> XName a -> m # foldr :: (a -> b -> b) -> b -> XName a -> b # foldr' :: (a -> b -> b) -> b -> XName a -> b # foldl :: (b -> a -> b) -> b -> XName a -> b # foldl' :: (b -> a -> b) -> b -> XName a -> b # foldr1 :: (a -> a -> a) -> XName a -> a # foldl1 :: (a -> a -> a) -> XName a -> a # elem :: Eq a => a -> XName a -> Bool # maximum :: Ord a => XName a -> a # minimum :: Ord a => XName a -> a # | |
| Foldable XAttr | |
Defined in Language.Haskell.Exts.Syntax Methods fold :: Monoid m => XAttr m -> m # foldMap :: Monoid m => (a -> m) -> XAttr a -> m # foldr :: (a -> b -> b) -> b -> XAttr a -> b # foldr' :: (a -> b -> b) -> b -> XAttr a -> b # foldl :: (b -> a -> b) -> b -> XAttr a -> b # foldl' :: (b -> a -> b) -> b -> XAttr a -> b # foldr1 :: (a -> a -> a) -> XAttr a -> a # foldl1 :: (a -> a -> a) -> XAttr a -> a # elem :: Eq a => a -> XAttr a -> Bool # maximum :: Ord a => XAttr a -> a # minimum :: Ord a => XAttr a -> a # | |
| Foldable Bracket | |
Defined in Language.Haskell.Exts.Syntax Methods fold :: Monoid m => Bracket m -> m # foldMap :: Monoid m => (a -> m) -> Bracket a -> m # foldr :: (a -> b -> b) -> b -> Bracket a -> b # foldr' :: (a -> b -> b) -> b -> Bracket a -> b # foldl :: (b -> a -> b) -> b -> Bracket a -> b # foldl' :: (b -> a -> b) -> b -> Bracket a -> b # foldr1 :: (a -> a -> a) -> Bracket a -> a # foldl1 :: (a -> a -> a) -> Bracket a -> a # elem :: Eq a => a -> Bracket a -> Bool # maximum :: Ord a => Bracket a -> a # minimum :: Ord a => Bracket a -> a # | |
| Foldable Splice | |
Defined in Language.Haskell.Exts.Syntax Methods fold :: Monoid m => Splice m -> m # foldMap :: Monoid m => (a -> m) -> Splice a -> m # foldr :: (a -> b -> b) -> b -> Splice a -> b # foldr' :: (a -> b -> b) -> b -> Splice a -> b # foldl :: (b -> a -> b) -> b -> Splice a -> b # foldl' :: (b -> a -> b) -> b -> Splice a -> b # foldr1 :: (a -> a -> a) -> Splice a -> a # foldl1 :: (a -> a -> a) -> Splice a -> a # elem :: Eq a => a -> Splice a -> Bool # maximum :: Ord a => Splice a -> a # minimum :: Ord a => Splice a -> a # | |
| Foldable Safety | |
Defined in Language.Haskell.Exts.Syntax Methods fold :: Monoid m => Safety m -> m # foldMap :: Monoid m => (a -> m) -> Safety a -> m # foldr :: (a -> b -> b) -> b -> Safety a -> b # foldr' :: (a -> b -> b) -> b -> Safety a -> b # foldl :: (b -> a -> b) -> b -> Safety a -> b # foldl' :: (b -> a -> b) -> b -> Safety a -> b # foldr1 :: (a -> a -> a) -> Safety a -> a # foldl1 :: (a -> a -> a) -> Safety a -> a # elem :: Eq a => a -> Safety a -> Bool # maximum :: Ord a => Safety a -> a # minimum :: Ord a => Safety a -> a # | |
| Foldable CallConv | |
Defined in Language.Haskell.Exts.Syntax Methods fold :: Monoid m => CallConv m -> m # foldMap :: Monoid m => (a -> m) -> CallConv a -> m # foldr :: (a -> b -> b) -> b -> CallConv a -> b # foldr' :: (a -> b -> b) -> b -> CallConv a -> b # foldl :: (b -> a -> b) -> b -> CallConv a -> b # foldl' :: (b -> a -> b) -> b -> CallConv a -> b # foldr1 :: (a -> a -> a) -> CallConv a -> a # foldl1 :: (a -> a -> a) -> CallConv a -> a # elem :: Eq a => a -> CallConv a -> Bool # maximum :: Ord a => CallConv a -> a # minimum :: Ord a => CallConv a -> a # | |
| Foldable ModulePragma | |
Defined in Language.Haskell.Exts.Syntax Methods fold :: Monoid m => ModulePragma m -> m # foldMap :: Monoid m => (a -> m) -> ModulePragma a -> m # foldr :: (a -> b -> b) -> b -> ModulePragma a -> b # foldr' :: (a -> b -> b) -> b -> ModulePragma a -> b # foldl :: (b -> a -> b) -> b -> ModulePragma a -> b # foldl' :: (b -> a -> b) -> b -> ModulePragma a -> b # foldr1 :: (a -> a -> a) -> ModulePragma a -> a # foldl1 :: (a -> a -> a) -> ModulePragma a -> a # toList :: ModulePragma a -> [a] # null :: ModulePragma a -> Bool # length :: ModulePragma a -> Int # elem :: Eq a => a -> ModulePragma a -> Bool # maximum :: Ord a => ModulePragma a -> a # minimum :: Ord a => ModulePragma a -> a # sum :: Num a => ModulePragma a -> a # product :: Num a => ModulePragma a -> a # | |
| Foldable Overlap | |
Defined in Language.Haskell.Exts.Syntax Methods fold :: Monoid m => Overlap m -> m # foldMap :: Monoid m => (a -> m) -> Overlap a -> m # foldr :: (a -> b -> b) -> b -> Overlap a -> b # foldr' :: (a -> b -> b) -> b -> Overlap a -> b # foldl :: (b -> a -> b) -> b -> Overlap a -> b # foldl' :: (b -> a -> b) -> b -> Overlap a -> b # foldr1 :: (a -> a -> a) -> Overlap a -> a # foldl1 :: (a -> a -> a) -> Overlap a -> a # elem :: Eq a => a -> Overlap a -> Bool # maximum :: Ord a => Overlap a -> a # minimum :: Ord a => Overlap a -> a # | |
| Foldable Activation | |
Defined in Language.Haskell.Exts.Syntax Methods fold :: Monoid m => Activation m -> m # foldMap :: Monoid m => (a -> m) -> Activation a -> m # foldr :: (a -> b -> b) -> b -> Activation a -> b # foldr' :: (a -> b -> b) -> b -> Activation a -> b # foldl :: (b -> a -> b) -> b -> Activation a -> b # foldl' :: (b -> a -> b) -> b -> Activation a -> b # foldr1 :: (a -> a -> a) -> Activation a -> a # foldl1 :: (a -> a -> a) -> Activation a -> a # toList :: Activation a -> [a] # null :: Activation a -> Bool # length :: Activation a -> Int # elem :: Eq a => a -> Activation a -> Bool # maximum :: Ord a => Activation a -> a # minimum :: Ord a => Activation a -> a # sum :: Num a => Activation a -> a # product :: Num a => Activation a -> a # | |
| Foldable Rule | |
Defined in Language.Haskell.Exts.Syntax Methods fold :: Monoid m => Rule m -> m # foldMap :: Monoid m => (a -> m) -> Rule a -> m # foldr :: (a -> b -> b) -> b -> Rule a -> b # foldr' :: (a -> b -> b) -> b -> Rule a -> b # foldl :: (b -> a -> b) -> b -> Rule a -> b # foldl' :: (b -> a -> b) -> b -> Rule a -> b # foldr1 :: (a -> a -> a) -> Rule a -> a # foldl1 :: (a -> a -> a) -> Rule a -> a # elem :: Eq a => a -> Rule a -> Bool # maximum :: Ord a => Rule a -> a # | |
| Foldable RuleVar | |
Defined in Language.Haskell.Exts.Syntax Methods fold :: Monoid m => RuleVar m -> m # foldMap :: Monoid m => (a -> m) -> RuleVar a -> m # foldr :: (a -> b -> b) -> b -> RuleVar a -> b # foldr' :: (a -> b -> b) -> b -> RuleVar a -> b # foldl :: (b -> a -> b) -> b -> RuleVar a -> b # foldl' :: (b -> a -> b) -> b -> RuleVar a -> b # foldr1 :: (a -> a -> a) -> RuleVar a -> a # foldl1 :: (a -> a -> a) -> RuleVar a -> a # elem :: Eq a => a -> RuleVar a -> Bool # maximum :: Ord a => RuleVar a -> a # minimum :: Ord a => RuleVar a -> a # | |
| Foldable WarningText | |
Defined in Language.Haskell.Exts.Syntax Methods fold :: Monoid m => WarningText m -> m # foldMap :: Monoid m => (a -> m) -> WarningText a -> m # foldr :: (a -> b -> b) -> b -> WarningText a -> b # foldr' :: (a -> b -> b) -> b -> WarningText a -> b # foldl :: (b -> a -> b) -> b -> WarningText a -> b # foldl' :: (b -> a -> b) -> b -> WarningText a -> b # foldr1 :: (a -> a -> a) -> WarningText a -> a # foldl1 :: (a -> a -> a) -> WarningText a -> a # toList :: WarningText a -> [a] # null :: WarningText a -> Bool # length :: WarningText a -> Int # elem :: Eq a => a -> WarningText a -> Bool # maximum :: Ord a => WarningText a -> a # minimum :: Ord a => WarningText a -> a # sum :: Num a => WarningText a -> a # product :: Num a => WarningText a -> a # | |
| Foldable Pat | |
Defined in Language.Haskell.Exts.Syntax Methods fold :: Monoid m => Pat m -> m # foldMap :: Monoid m => (a -> m) -> Pat a -> m # foldr :: (a -> b -> b) -> b -> Pat a -> b # foldr' :: (a -> b -> b) -> b -> Pat a -> b # foldl :: (b -> a -> b) -> b -> Pat a -> b # foldl' :: (b -> a -> b) -> b -> Pat a -> b # foldr1 :: (a -> a -> a) -> Pat a -> a # foldl1 :: (a -> a -> a) -> Pat a -> a # elem :: Eq a => a -> Pat a -> Bool # maximum :: Ord a => Pat a -> a # | |
| Foldable PXAttr | |
Defined in Language.Haskell.Exts.Syntax Methods fold :: Monoid m => PXAttr m -> m # foldMap :: Monoid m => (a -> m) -> PXAttr a -> m # foldr :: (a -> b -> b) -> b -> PXAttr a -> b # foldr' :: (a -> b -> b) -> b -> PXAttr a -> b # foldl :: (b -> a -> b) -> b -> PXAttr a -> b # foldl' :: (b -> a -> b) -> b -> PXAttr a -> b # foldr1 :: (a -> a -> a) -> PXAttr a -> a # foldl1 :: (a -> a -> a) -> PXAttr a -> a # elem :: Eq a => a -> PXAttr a -> Bool # maximum :: Ord a => PXAttr a -> a # minimum :: Ord a => PXAttr a -> a # | |
| Foldable RPatOp | |
Defined in Language.Haskell.Exts.Syntax Methods fold :: Monoid m => RPatOp m -> m # foldMap :: Monoid m => (a -> m) -> RPatOp a -> m # foldr :: (a -> b -> b) -> b -> RPatOp a -> b # foldr' :: (a -> b -> b) -> b -> RPatOp a -> b # foldl :: (b -> a -> b) -> b -> RPatOp a -> b # foldl' :: (b -> a -> b) -> b -> RPatOp a -> b # foldr1 :: (a -> a -> a) -> RPatOp a -> a # foldl1 :: (a -> a -> a) -> RPatOp a -> a # elem :: Eq a => a -> RPatOp a -> Bool # maximum :: Ord a => RPatOp a -> a # minimum :: Ord a => RPatOp a -> a # | |
| Foldable RPat | |
Defined in Language.Haskell.Exts.Syntax Methods fold :: Monoid m => RPat m -> m # foldMap :: Monoid m => (a -> m) -> RPat a -> m # foldr :: (a -> b -> b) -> b -> RPat a -> b # foldr' :: (a -> b -> b) -> b -> RPat a -> b # foldl :: (b -> a -> b) -> b -> RPat a -> b # foldl' :: (b -> a -> b) -> b -> RPat a -> b # foldr1 :: (a -> a -> a) -> RPat a -> a # foldl1 :: (a -> a -> a) -> RPat a -> a # elem :: Eq a => a -> RPat a -> Bool # maximum :: Ord a => RPat a -> a # | |
| Foldable PatField | |
Defined in Language.Haskell.Exts.Syntax Methods fold :: Monoid m => PatField m -> m # foldMap :: Monoid m => (a -> m) -> PatField a -> m # foldr :: (a -> b -> b) -> b -> PatField a -> b # foldr' :: (a -> b -> b) -> b -> PatField a -> b # foldl :: (b -> a -> b) -> b -> PatField a -> b # foldl' :: (b -> a -> b) -> b -> PatField a -> b # foldr1 :: (a -> a -> a) -> PatField a -> a # foldl1 :: (a -> a -> a) -> PatField a -> a # elem :: Eq a => a -> PatField a -> Bool # maximum :: Ord a => PatField a -> a # minimum :: Ord a => PatField a -> a # | |
| Foldable Stmt | |
Defined in Language.Haskell.Exts.Syntax Methods fold :: Monoid m => Stmt m -> m # foldMap :: Monoid m => (a -> m) -> Stmt a -> m # foldr :: (a -> b -> b) -> b -> Stmt a -> b # foldr' :: (a -> b -> b) -> b -> Stmt a -> b # foldl :: (b -> a -> b) -> b -> Stmt a -> b # foldl' :: (b -> a -> b) -> b -> Stmt a -> b # foldr1 :: (a -> a -> a) -> Stmt a -> a # foldl1 :: (a -> a -> a) -> Stmt a -> a # elem :: Eq a => a -> Stmt a -> Bool # maximum :: Ord a => Stmt a -> a # | |
| Foldable QualStmt | |
Defined in Language.Haskell.Exts.Syntax Methods fold :: Monoid m => QualStmt m -> m # foldMap :: Monoid m => (a -> m) -> QualStmt a -> m # foldr :: (a -> b -> b) -> b -> QualStmt a -> b # foldr' :: (a -> b -> b) -> b -> QualStmt a -> b # foldl :: (b -> a -> b) -> b -> QualStmt a -> b # foldl' :: (b -> a -> b) -> b -> QualStmt a -> b # foldr1 :: (a -> a -> a) -> QualStmt a -> a # foldl1 :: (a -> a -> a) -> QualStmt a -> a # elem :: Eq a => a -> QualStmt a -> Bool # maximum :: Ord a => QualStmt a -> a # minimum :: Ord a => QualStmt a -> a # | |
| Foldable FieldUpdate | |
Defined in Language.Haskell.Exts.Syntax Methods fold :: Monoid m => FieldUpdate m -> m # foldMap :: Monoid m => (a -> m) -> FieldUpdate a -> m # foldr :: (a -> b -> b) -> b -> FieldUpdate a -> b # foldr' :: (a -> b -> b) -> b -> FieldUpdate a -> b # foldl :: (b -> a -> b) -> b -> FieldUpdate a -> b # foldl' :: (b -> a -> b) -> b -> FieldUpdate a -> b # foldr1 :: (a -> a -> a) -> FieldUpdate a -> a # foldl1 :: (a -> a -> a) -> FieldUpdate a -> a # toList :: FieldUpdate a -> [a] # null :: FieldUpdate a -> Bool # length :: FieldUpdate a -> Int # elem :: Eq a => a -> FieldUpdate a -> Bool # maximum :: Ord a => FieldUpdate a -> a # minimum :: Ord a => FieldUpdate a -> a # sum :: Num a => FieldUpdate a -> a # product :: Num a => FieldUpdate a -> a # | |
| Foldable Alt | |
Defined in Language.Haskell.Exts.Syntax Methods fold :: Monoid m => Alt m -> m # foldMap :: Monoid m => (a -> m) -> Alt a -> m # foldr :: (a -> b -> b) -> b -> Alt a -> b # foldr' :: (a -> b -> b) -> b -> Alt a -> b # foldl :: (b -> a -> b) -> b -> Alt a -> b # foldl' :: (b -> a -> b) -> b -> Alt a -> b # foldr1 :: (a -> a -> a) -> Alt a -> a # foldl1 :: (a -> a -> a) -> Alt a -> a # elem :: Eq a => a -> Alt a -> Bool # maximum :: Ord a => Alt a -> a # | |
| Foldable Heap | |
Defined in Data.Heap Methods fold :: Monoid m => Heap m -> m # foldMap :: Monoid m => (a -> m) -> Heap a -> m # foldr :: (a -> b -> b) -> b -> Heap a -> b # foldr' :: (a -> b -> b) -> b -> Heap a -> b # foldl :: (b -> a -> b) -> b -> Heap a -> b # foldl' :: (b -> a -> b) -> b -> Heap a -> b # foldr1 :: (a -> a -> a) -> Heap a -> a # foldl1 :: (a -> a -> a) -> Heap a -> a # elem :: Eq a => a -> Heap a -> Bool # maximum :: Ord a => Heap a -> a # | |
| Foldable HashSet | |
Defined in Data.HashSet Methods fold :: Monoid m => HashSet m -> m # foldMap :: Monoid m => (a -> m) -> HashSet a -> m # foldr :: (a -> b -> b) -> b -> HashSet a -> b # foldr' :: (a -> b -> b) -> b -> HashSet a -> b # foldl :: (b -> a -> b) -> b -> HashSet a -> b # foldl' :: (b -> a -> b) -> b -> HashSet a -> b # foldr1 :: (a -> a -> a) -> HashSet a -> a # foldl1 :: (a -> a -> a) -> HashSet a -> a # elem :: Eq a => a -> HashSet a -> Bool # maximum :: Ord a => HashSet a -> a # minimum :: Ord a => HashSet a -> a # | |
| Foldable Vector | |
Defined in Data.Vector Methods fold :: Monoid m => Vector m -> m # foldMap :: Monoid m => (a -> m) -> Vector a -> m # foldr :: (a -> b -> b) -> b -> Vector a -> b # foldr' :: (a -> b -> b) -> b -> Vector a -> b # foldl :: (b -> a -> b) -> b -> Vector a -> b # foldl' :: (b -> a -> b) -> b -> Vector a -> b # foldr1 :: (a -> a -> a) -> Vector a -> a # foldl1 :: (a -> a -> a) -> Vector a -> a # elem :: Eq a => a -> Vector a -> Bool # maximum :: Ord a => Vector a -> a # minimum :: Ord a => Vector a -> a # | |
| Foldable Log | |
Defined in Numeric.Log Methods fold :: Monoid m => Log m -> m # foldMap :: Monoid m => (a -> m) -> Log a -> m # foldr :: (a -> b -> b) -> b -> Log a -> b # foldr' :: (a -> b -> b) -> b -> Log a -> b # foldl :: (b -> a -> b) -> b -> Log a -> b # foldl' :: (b -> a -> b) -> b -> Log a -> b # foldr1 :: (a -> a -> a) -> Log a -> a # foldl1 :: (a -> a -> a) -> Log a -> a # elem :: Eq a => a -> Log a -> Bool # maximum :: Ord a => Log a -> a # | |
| Foldable MultiSet | |
Defined in Data.MultiSet Methods fold :: Monoid m => MultiSet m -> m # foldMap :: Monoid m => (a -> m) -> MultiSet a -> m # foldr :: (a -> b -> b) -> b -> MultiSet a -> b # foldr' :: (a -> b -> b) -> b -> MultiSet a -> b # foldl :: (b -> a -> b) -> b -> MultiSet a -> b # foldl' :: (b -> a -> b) -> b -> MultiSet a -> b # foldr1 :: (a -> a -> a) -> MultiSet a -> a # foldl1 :: (a -> a -> a) -> MultiSet a -> a # elem :: Eq a => a -> MultiSet a -> Bool # maximum :: Ord a => MultiSet a -> a # minimum :: Ord a => MultiSet a -> a # | |
| Foldable SimpleDocStream | Collect all annotations from a document. |
Defined in Data.Text.Prettyprint.Doc.Internal Methods fold :: Monoid m => SimpleDocStream m -> m # foldMap :: Monoid m => (a -> m) -> SimpleDocStream a -> m # foldr :: (a -> b -> b) -> b -> SimpleDocStream a -> b # foldr' :: (a -> b -> b) -> b -> SimpleDocStream a -> b # foldl :: (b -> a -> b) -> b -> SimpleDocStream a -> b # foldl' :: (b -> a -> b) -> b -> SimpleDocStream a -> b # foldr1 :: (a -> a -> a) -> SimpleDocStream a -> a # foldl1 :: (a -> a -> a) -> SimpleDocStream a -> a # toList :: SimpleDocStream a -> [a] # null :: SimpleDocStream a -> Bool # length :: SimpleDocStream a -> Int # elem :: Eq a => a -> SimpleDocStream a -> Bool # maximum :: Ord a => SimpleDocStream a -> a # minimum :: Ord a => SimpleDocStream a -> a # sum :: Num a => SimpleDocStream a -> a # product :: Num a => SimpleDocStream a -> a # | |
| Foldable SmallArray | |
Defined in Data.Primitive.SmallArray Methods fold :: Monoid m => SmallArray m -> m # foldMap :: Monoid m => (a -> m) -> SmallArray a -> m # foldr :: (a -> b -> b) -> b -> SmallArray a -> b # foldr' :: (a -> b -> b) -> b -> SmallArray a -> b # foldl :: (b -> a -> b) -> b -> SmallArray a -> b # foldl' :: (b -> a -> b) -> b -> SmallArray a -> b # foldr1 :: (a -> a -> a) -> SmallArray a -> a # foldl1 :: (a -> a -> a) -> SmallArray a -> a # toList :: SmallArray a -> [a] # null :: SmallArray a -> Bool # length :: SmallArray a -> Int # elem :: Eq a => a -> SmallArray a -> Bool # maximum :: Ord a => SmallArray a -> a # minimum :: Ord a => SmallArray a -> a # sum :: Num a => SmallArray a -> a # product :: Num a => SmallArray a -> a # | |
| Foldable Array | |
Defined in Data.Primitive.Array Methods fold :: Monoid m => Array m -> m # foldMap :: Monoid m => (a -> m) -> Array a -> m # foldr :: (a -> b -> b) -> b -> Array a -> b # foldr' :: (a -> b -> b) -> b -> Array a -> b # foldl :: (b -> a -> b) -> b -> Array a -> b # foldl' :: (b -> a -> b) -> b -> Array a -> b # foldr1 :: (a -> a -> a) -> Array a -> a # foldl1 :: (a -> a -> a) -> Array a -> a # elem :: Eq a => a -> Array a -> Bool # maximum :: Ord a => Array a -> a # minimum :: Ord a => Array a -> a # | |
| Foldable Bound | |
Defined in Data.Semilattice.Bound Methods fold :: Monoid m => Bound m -> m # foldMap :: Monoid m => (a -> m) -> Bound a -> m # foldr :: (a -> b -> b) -> b -> Bound a -> b # foldr' :: (a -> b -> b) -> b -> Bound a -> b # foldl :: (b -> a -> b) -> b -> Bound a -> b # foldl' :: (b -> a -> b) -> b -> Bound a -> b # foldr1 :: (a -> a -> a) -> Bound a -> a # foldl1 :: (a -> a -> a) -> Bound a -> a # elem :: Eq a => a -> Bound a -> Bool # maximum :: Ord a => Bound a -> a # minimum :: Ord a => Bound a -> a # | |
| Foldable Order | |
Defined in Data.Semilattice.Order Methods fold :: Monoid m => Order m -> m # foldMap :: Monoid m => (a -> m) -> Order a -> m # foldr :: (a -> b -> b) -> b -> Order a -> b # foldr' :: (a -> b -> b) -> b -> Order a -> b # foldl :: (b -> a -> b) -> b -> Order a -> b # foldl' :: (b -> a -> b) -> b -> Order a -> b # foldr1 :: (a -> a -> a) -> Order a -> a # foldl1 :: (a -> a -> a) -> Order a -> a # elem :: Eq a => a -> Order a -> Bool # maximum :: Ord a => Order a -> a # minimum :: Ord a => Order a -> a # | |
| Foldable Meeting | |
Defined in Data.Semilattice.Meet Methods fold :: Monoid m => Meeting m -> m # foldMap :: Monoid m => (a -> m) -> Meeting a -> m # foldr :: (a -> b -> b) -> b -> Meeting a -> b # foldr' :: (a -> b -> b) -> b -> Meeting a -> b # foldl :: (b -> a -> b) -> b -> Meeting a -> b # foldl' :: (b -> a -> b) -> b -> Meeting a -> b # foldr1 :: (a -> a -> a) -> Meeting a -> a # foldl1 :: (a -> a -> a) -> Meeting a -> a # elem :: Eq a => a -> Meeting a -> Bool # maximum :: Ord a => Meeting a -> a # minimum :: Ord a => Meeting a -> a # | |
| Foldable GreaterThan | |
Defined in Data.Semilattice.Meet Methods fold :: Monoid m => GreaterThan m -> m # foldMap :: Monoid m => (a -> m) -> GreaterThan a -> m # foldr :: (a -> b -> b) -> b -> GreaterThan a -> b # foldr' :: (a -> b -> b) -> b -> GreaterThan a -> b # foldl :: (b -> a -> b) -> b -> GreaterThan a -> b # foldl' :: (b -> a -> b) -> b -> GreaterThan a -> b # foldr1 :: (a -> a -> a) -> GreaterThan a -> a # foldl1 :: (a -> a -> a) -> GreaterThan a -> a # toList :: GreaterThan a -> [a] # null :: GreaterThan a -> Bool # length :: GreaterThan a -> Int # elem :: Eq a => a -> GreaterThan a -> Bool # maximum :: Ord a => GreaterThan a -> a # minimum :: Ord a => GreaterThan a -> a # sum :: Num a => GreaterThan a -> a # product :: Num a => GreaterThan a -> a # | |
| Foldable Joining | |
Defined in Data.Semilattice.Join Methods fold :: Monoid m => Joining m -> m # foldMap :: Monoid m => (a -> m) -> Joining a -> m # foldr :: (a -> b -> b) -> b -> Joining a -> b # foldr' :: (a -> b -> b) -> b -> Joining a -> b # foldl :: (b -> a -> b) -> b -> Joining a -> b # foldl' :: (b -> a -> b) -> b -> Joining a -> b # foldr1 :: (a -> a -> a) -> Joining a -> a # foldl1 :: (a -> a -> a) -> Joining a -> a # elem :: Eq a => a -> Joining a -> Bool # maximum :: Ord a => Joining a -> a # minimum :: Ord a => Joining a -> a # | |
| Foldable LessThan | |
Defined in Data.Semilattice.Join Methods fold :: Monoid m => LessThan m -> m # foldMap :: Monoid m => (a -> m) -> LessThan a -> m # foldr :: (a -> b -> b) -> b -> LessThan a -> b # foldr' :: (a -> b -> b) -> b -> LessThan a -> b # foldl :: (b -> a -> b) -> b -> LessThan a -> b # foldl' :: (b -> a -> b) -> b -> LessThan a -> b # foldr1 :: (a -> a -> a) -> LessThan a -> a # foldl1 :: (a -> a -> a) -> LessThan a -> a # elem :: Eq a => a -> LessThan a -> Bool # maximum :: Ord a => LessThan a -> a # minimum :: Ord a => LessThan a -> a # | |
| Foldable Forest | |
Defined in Data.Heap Methods fold :: Monoid m => Forest m -> m # foldMap :: Monoid m => (a -> m) -> Forest a -> m # foldr :: (a -> b -> b) -> b -> Forest a -> b # foldr' :: (a -> b -> b) -> b -> Forest a -> b # foldl :: (b -> a -> b) -> b -> Forest a -> b # foldl' :: (b -> a -> b) -> b -> Forest a -> b # foldr1 :: (a -> a -> a) -> Forest a -> a # foldl1 :: (a -> a -> a) -> Forest a -> a # elem :: Eq a => a -> Forest a -> Bool # maximum :: Ord a => Forest a -> a # minimum :: Ord a => Forest a -> a # | |
| Foldable Tree | |
Defined in Data.Heap Methods fold :: Monoid m => Tree m -> m # foldMap :: Monoid m => (a -> m) -> Tree a -> m # foldr :: (a -> b -> b) -> b -> Tree a -> b # foldr' :: (a -> b -> b) -> b -> Tree a -> b # foldl :: (b -> a -> b) -> b -> Tree a -> b # foldl' :: (b -> a -> b) -> b -> Tree a -> b # foldr1 :: (a -> a -> a) -> Tree a -> a # foldl1 :: (a -> a -> a) -> Tree a -> a # elem :: Eq a => a -> Tree a -> Bool # maximum :: Ord a => Tree a -> a # | |
| Foldable P | |
Defined in Data.HashMap.Strict.InsOrd Methods fold :: Monoid m => P m -> m # foldMap :: Monoid m => (a -> m) -> P a -> m # foldr :: (a -> b -> b) -> b -> P a -> b # foldr' :: (a -> b -> b) -> b -> P a -> b # foldl :: (b -> a -> b) -> b -> P a -> b # foldl' :: (b -> a -> b) -> b -> P a -> b # foldr1 :: (a -> a -> a) -> P a -> a # foldl1 :: (a -> a -> a) -> P a -> a # elem :: Eq a => a -> P a -> Bool # maximum :: Ord a => P a -> a # | |
| Foldable (Either a) | Since: base-4.7.0.0 |
Defined in Data.Foldable Methods fold :: Monoid m => Either a m -> m # foldMap :: Monoid m => (a0 -> m) -> Either a a0 -> m # foldr :: (a0 -> b -> b) -> b -> Either a a0 -> b # foldr' :: (a0 -> b -> b) -> b -> Either a a0 -> b # foldl :: (b -> a0 -> b) -> b -> Either a a0 -> b # foldl' :: (b -> a0 -> b) -> b -> Either a a0 -> b # foldr1 :: (a0 -> a0 -> a0) -> Either a a0 -> a0 # foldl1 :: (a0 -> a0 -> a0) -> Either a a0 -> a0 # toList :: Either a a0 -> [a0] # length :: Either a a0 -> Int # elem :: Eq a0 => a0 -> Either a a0 -> Bool # maximum :: Ord a0 => Either a a0 -> a0 # minimum :: Ord a0 => Either a a0 -> a0 # | |
| Foldable (V1 :: * -> *) | |
Defined in Data.Foldable Methods fold :: Monoid m => V1 m -> m # foldMap :: Monoid m => (a -> m) -> V1 a -> m # foldr :: (a -> b -> b) -> b -> V1 a -> b # foldr' :: (a -> b -> b) -> b -> V1 a -> b # foldl :: (b -> a -> b) -> b -> V1 a -> b # foldl' :: (b -> a -> b) -> b -> V1 a -> b # foldr1 :: (a -> a -> a) -> V1 a -> a # foldl1 :: (a -> a -> a) -> V1 a -> a # elem :: Eq a => a -> V1 a -> Bool # maximum :: Ord a => V1 a -> a # | |
| Foldable (U1 :: * -> *) | Since: base-4.9.0.0 |
Defined in Data.Foldable Methods fold :: Monoid m => U1 m -> m # foldMap :: Monoid m => (a -> m) -> U1 a -> m # foldr :: (a -> b -> b) -> b -> U1 a -> b # foldr' :: (a -> b -> b) -> b -> U1 a -> b # foldl :: (b -> a -> b) -> b -> U1 a -> b # foldl' :: (b -> a -> b) -> b -> U1 a -> b # foldr1 :: (a -> a -> a) -> U1 a -> a # foldl1 :: (a -> a -> a) -> U1 a -> a # elem :: Eq a => a -> U1 a -> Bool # maximum :: Ord a => U1 a -> a # | |
| Foldable ((,) a) | Since: base-4.7.0.0 |
Defined in Data.Foldable Methods fold :: Monoid m => (a, m) -> m # foldMap :: Monoid m => (a0 -> m) -> (a, a0) -> m # foldr :: (a0 -> b -> b) -> b -> (a, a0) -> b # foldr' :: (a0 -> b -> b) -> b -> (a, a0) -> b # foldl :: (b -> a0 -> b) -> b -> (a, a0) -> b # foldl' :: (b -> a0 -> b) -> b -> (a, a0) -> b # foldr1 :: (a0 -> a0 -> a0) -> (a, a0) -> a0 # foldl1 :: (a0 -> a0 -> a0) -> (a, a0) -> a0 # elem :: Eq a0 => a0 -> (a, a0) -> Bool # maximum :: Ord a0 => (a, a0) -> a0 # minimum :: Ord a0 => (a, a0) -> a0 # | |
| Foldable (HashMap k) | |
Defined in Data.HashMap.Base Methods fold :: Monoid m => HashMap k m -> m # foldMap :: Monoid m => (a -> m) -> HashMap k a -> m # foldr :: (a -> b -> b) -> b -> HashMap k a -> b # foldr' :: (a -> b -> b) -> b -> HashMap k a -> b # foldl :: (b -> a -> b) -> b -> HashMap k a -> b # foldl' :: (b -> a -> b) -> b -> HashMap k a -> b # foldr1 :: (a -> a -> a) -> HashMap k a -> a # foldl1 :: (a -> a -> a) -> HashMap k a -> a # toList :: HashMap k a -> [a] # length :: HashMap k a -> Int # elem :: Eq a => a -> HashMap k a -> Bool # maximum :: Ord a => HashMap k a -> a # minimum :: Ord a => HashMap k a -> a # | |
| Foldable (Map k) | |
Defined in Data.Map.Internal Methods fold :: Monoid m => Map k m -> m # foldMap :: Monoid m => (a -> m) -> Map k a -> m # foldr :: (a -> b -> b) -> b -> Map k a -> b # foldr' :: (a -> b -> b) -> b -> Map k a -> b # foldl :: (b -> a -> b) -> b -> Map k a -> b # foldl' :: (b -> a -> b) -> b -> Map k a -> b # foldr1 :: (a -> a -> a) -> Map k a -> a # foldl1 :: (a -> a -> a) -> Map k a -> a # elem :: Eq a => a -> Map k a -> Bool # maximum :: Ord a => Map k a -> a # minimum :: Ord a => Map k a -> a # | |
| Foldable (Array i) | Since: base-4.8.0.0 |
Defined in Data.Foldable Methods fold :: Monoid m => Array i m -> m # foldMap :: Monoid m => (a -> m) -> Array i a -> m # foldr :: (a -> b -> b) -> b -> Array i a -> b # foldr' :: (a -> b -> b) -> b -> Array i a -> b # foldl :: (b -> a -> b) -> b -> Array i a -> b # foldl' :: (b -> a -> b) -> b -> Array i a -> b # foldr1 :: (a -> a -> a) -> Array i a -> a # foldl1 :: (a -> a -> a) -> Array i a -> a # elem :: Eq a => a -> Array i a -> Bool # maximum :: Ord a => Array i a -> a # minimum :: Ord a => Array i a -> a # | |
| Foldable (Arg a) | Since: base-4.9.0.0 |
Defined in Data.Semigroup Methods fold :: Monoid m => Arg a m -> 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 # | |
| Foldable (Proxy :: * -> *) | Since: base-4.7.0.0 |
Defined in Data.Foldable Methods fold :: Monoid m => Proxy m -> m # foldMap :: Monoid m => (a -> m) -> Proxy a -> m # foldr :: (a -> b -> b) -> b -> Proxy a -> b # foldr' :: (a -> b -> b) -> b -> Proxy a -> b # foldl :: (b -> a -> b) -> b -> Proxy a -> b # foldl' :: (b -> a -> b) -> b -> Proxy a -> b # foldr1 :: (a -> a -> a) -> Proxy a -> a # foldl1 :: (a -> a -> a) -> Proxy a -> a # elem :: Eq a => a -> Proxy a -> Bool # maximum :: Ord a => Proxy a -> a # minimum :: Ord a => Proxy a -> a # | |
| Foldable f => Foldable (MaybeT f) | |
Defined in Control.Monad.Trans.Maybe Methods fold :: Monoid m => MaybeT f m -> m # foldMap :: Monoid m => (a -> m) -> MaybeT f a -> m # foldr :: (a -> b -> b) -> b -> MaybeT f a -> b # foldr' :: (a -> b -> b) -> b -> MaybeT f a -> b # foldl :: (b -> a -> b) -> b -> MaybeT f a -> b # foldl' :: (b -> a -> b) -> b -> MaybeT f a -> b # foldr1 :: (a -> a -> a) -> MaybeT f a -> a # foldl1 :: (a -> a -> a) -> MaybeT f a -> a # elem :: Eq a => a -> MaybeT f a -> Bool # maximum :: Ord a => MaybeT f a -> a # minimum :: Ord a => MaybeT f a -> a # | |
| Foldable f => Foldable (Cofree f) | |
Defined in Control.Comonad.Cofree Methods fold :: Monoid m => Cofree f m -> m # foldMap :: Monoid m => (a -> m) -> Cofree f a -> m # foldr :: (a -> b -> b) -> b -> Cofree f a -> b # foldr' :: (a -> b -> b) -> b -> Cofree f a -> b # foldl :: (b -> a -> b) -> b -> Cofree f a -> b # foldl' :: (b -> a -> b) -> b -> Cofree f a -> b # foldr1 :: (a -> a -> a) -> Cofree f a -> a # foldl1 :: (a -> a -> a) -> Cofree f a -> a # elem :: Eq a => a -> Cofree f a -> Bool # maximum :: Ord a => Cofree f a -> a # minimum :: Ord a => Cofree f a -> a # | |
| Foldable f => Foldable (Free f) | |
Defined in Control.Monad.Free Methods fold :: Monoid m => Free f m -> m # foldMap :: Monoid m => (a -> m) -> Free f a -> m # foldr :: (a -> b -> b) -> b -> Free f a -> b # foldr' :: (a -> b -> b) -> b -> Free f a -> b # foldl :: (b -> a -> b) -> b -> Free f a -> b # foldl' :: (b -> a -> b) -> b -> Free f a -> b # foldr1 :: (a -> a -> a) -> Free f a -> a # foldl1 :: (a -> a -> a) -> Free f a -> a # elem :: Eq a => a -> Free f a -> Bool # maximum :: Ord a => Free f a -> a # minimum :: Ord a => Free f a -> a # | |
| Foldable (Entry p) | |
Defined in Data.Heap Methods fold :: Monoid m => Entry p m -> m # foldMap :: Monoid m => (a -> m) -> Entry p a -> m # foldr :: (a -> b -> b) -> b -> Entry p a -> b # foldr' :: (a -> b -> b) -> b -> Entry p a -> b # foldl :: (b -> a -> b) -> b -> Entry p a -> b # foldl' :: (b -> a -> b) -> b -> Entry p a -> b # foldr1 :: (a -> a -> a) -> Entry p a -> a # foldl1 :: (a -> a -> a) -> Entry p a -> a # elem :: Eq a => a -> Entry p a -> Bool # maximum :: Ord a => Entry p a -> a # minimum :: Ord a => Entry p a -> a # | |
| Foldable (InsOrdHashMap k) | |
Defined in Data.HashMap.Strict.InsOrd Methods fold :: Monoid m => InsOrdHashMap k m -> m # foldMap :: Monoid m => (a -> m) -> InsOrdHashMap k a -> m # foldr :: (a -> b -> b) -> b -> InsOrdHashMap k a -> b # foldr' :: (a -> b -> b) -> b -> InsOrdHashMap k a -> b # foldl :: (b -> a -> b) -> b -> InsOrdHashMap k a -> b # foldl' :: (b -> a -> b) -> b -> InsOrdHashMap k a -> b # foldr1 :: (a -> a -> a) -> InsOrdHashMap k a -> a # foldl1 :: (a -> a -> a) -> InsOrdHashMap k a -> a # toList :: InsOrdHashMap k a -> [a] # null :: InsOrdHashMap k a -> Bool # length :: InsOrdHashMap k a -> Int # elem :: Eq a => a -> InsOrdHashMap k a -> Bool # maximum :: Ord a => InsOrdHashMap k a -> a # minimum :: Ord a => InsOrdHashMap k a -> a # sum :: Num a => InsOrdHashMap k a -> a # product :: Num a => InsOrdHashMap k a -> a # | |
| Foldable f => Foldable (Yoneda f) | |
Defined in Data.Functor.Yoneda Methods fold :: Monoid m => Yoneda f m -> m # foldMap :: Monoid m => (a -> m) -> Yoneda f a -> m # foldr :: (a -> b -> b) -> b -> Yoneda f a -> b # foldr' :: (a -> b -> b) -> b -> Yoneda f a -> b # foldl :: (b -> a -> b) -> b -> Yoneda f a -> b # foldl' :: (b -> a -> b) -> b -> Yoneda f a -> b # foldr1 :: (a -> a -> a) -> Yoneda f a -> a # foldl1 :: (a -> a -> a) -> Yoneda f a -> a # elem :: Eq a => a -> Yoneda f a -> Bool # maximum :: Ord a => Yoneda f a -> a # minimum :: Ord a => Yoneda f a -> a # | |
| Foldable m => Foldable (ListT m) | |
Defined in List.Transformer Methods fold :: Monoid m0 => ListT m m0 -> m0 # foldMap :: Monoid m0 => (a -> m0) -> ListT m a -> m0 # foldr :: (a -> b -> b) -> b -> ListT m a -> b # foldr' :: (a -> b -> b) -> b -> ListT m a -> b # foldl :: (b -> a -> b) -> b -> ListT m a -> b # foldl' :: (b -> a -> b) -> b -> ListT m a -> b # foldr1 :: (a -> a -> a) -> ListT m a -> a # foldl1 :: (a -> a -> a) -> ListT m a -> a # elem :: Eq a => a -> ListT m a -> Bool # maximum :: Ord a => ListT m a -> a # minimum :: Ord a => ListT m a -> a # | |
| Foldable m => Foldable (Step m) | |
Defined in List.Transformer Methods fold :: Monoid m0 => Step m m0 -> m0 # foldMap :: Monoid m0 => (a -> m0) -> Step m a -> m0 # foldr :: (a -> b -> b) -> b -> Step m a -> b # foldr' :: (a -> b -> b) -> b -> Step m a -> b # foldl :: (b -> a -> b) -> b -> Step m a -> b # foldl' :: (b -> a -> b) -> b -> Step m a -> b # foldr1 :: (a -> a -> a) -> Step m a -> a # foldl1 :: (a -> a -> a) -> Step m a -> a # elem :: Eq a => a -> Step m a -> Bool # maximum :: Ord a => Step m a -> a # minimum :: Ord a => Step m a -> a # | |
| (Monad m, Foldable m) => Foldable (LogicT m) | |
Defined in Control.Monad.Logic Methods fold :: Monoid m0 => LogicT m m0 -> m0 # foldMap :: Monoid m0 => (a -> m0) -> LogicT m a -> m0 # foldr :: (a -> b -> b) -> b -> LogicT m a -> b # foldr' :: (a -> b -> b) -> b -> LogicT m a -> b # foldl :: (b -> a -> b) -> b -> LogicT m a -> b # foldl' :: (b -> a -> b) -> b -> LogicT m a -> b # foldr1 :: (a -> a -> a) -> LogicT m a -> a # foldl1 :: (a -> a -> a) -> LogicT m a -> a # elem :: Eq a => a -> LogicT m a -> Bool # maximum :: Ord a => LogicT m a -> a # minimum :: Ord a => LogicT m a -> a # | |
| Foldable (IntPSQ p) | |
Defined in Data.IntPSQ.Internal Methods fold :: Monoid m => IntPSQ p m -> m # foldMap :: Monoid m => (a -> m) -> IntPSQ p a -> m # foldr :: (a -> b -> b) -> b -> IntPSQ p a -> b # foldr' :: (a -> b -> b) -> b -> IntPSQ p a -> b # foldl :: (b -> a -> b) -> b -> IntPSQ p a -> b # foldl' :: (b -> a -> b) -> b -> IntPSQ p a -> b # foldr1 :: (a -> a -> a) -> IntPSQ p a -> a # foldl1 :: (a -> a -> a) -> IntPSQ p a -> a # elem :: Eq a => a -> IntPSQ p a -> Bool # maximum :: Ord a => IntPSQ p a -> a # minimum :: Ord a => IntPSQ p a -> a # | |
| Foldable f => Foldable (Rec1 f) | |
Defined in Data.Foldable Methods fold :: Monoid m => Rec1 f m -> m # foldMap :: Monoid m => (a -> m) -> Rec1 f a -> m # foldr :: (a -> b -> b) -> b -> Rec1 f a -> b # foldr' :: (a -> b -> b) -> b -> Rec1 f a -> b # foldl :: (b -> a -> b) -> b -> Rec1 f a -> b # foldl' :: (b -> a -> b) -> b -> Rec1 f a -> b # foldr1 :: (a -> a -> a) -> Rec1 f a -> a # foldl1 :: (a -> a -> a) -> Rec1 f a -> a # elem :: Eq a => a -> Rec1 f a -> Bool # maximum :: Ord a => Rec1 f a -> a # minimum :: Ord a => Rec1 f a -> a # | |
| Foldable (URec Char :: * -> *) | |
Defined in Data.Foldable Methods fold :: Monoid m => URec Char m -> m # foldMap :: Monoid m => (a -> m) -> URec Char a -> m # foldr :: (a -> b -> b) -> b -> URec Char a -> b # foldr' :: (a -> b -> b) -> b -> URec Char a -> b # foldl :: (b -> a -> b) -> b -> URec Char a -> b # foldl' :: (b -> a -> b) -> b -> URec Char a -> b # foldr1 :: (a -> a -> a) -> URec Char a -> a # foldl1 :: (a -> a -> a) -> URec Char a -> a # toList :: URec Char a -> [a] # length :: URec Char a -> Int # elem :: Eq a => a -> URec Char a -> Bool # maximum :: Ord a => URec Char a -> a # minimum :: Ord a => URec Char a -> a # | |
| Foldable (URec Double :: * -> *) | |
Defined in Data.Foldable Methods fold :: Monoid m => URec Double m -> m # foldMap :: Monoid m => (a -> m) -> URec Double a -> m # foldr :: (a -> b -> b) -> b -> URec Double a -> b # foldr' :: (a -> b -> b) -> b -> URec Double a -> b # foldl :: (b -> a -> b) -> b -> URec Double a -> b # foldl' :: (b -> a -> b) -> b -> URec Double a -> b # foldr1 :: (a -> a -> a) -> URec Double a -> a # foldl1 :: (a -> a -> a) -> URec Double a -> a # toList :: URec Double a -> [a] # null :: URec Double a -> Bool # length :: URec Double a -> Int # elem :: Eq a => a -> URec Double a -> Bool # maximum :: Ord a => URec Double a -> a # minimum :: Ord a => URec Double a -> a # | |
| Foldable (URec Float :: * -> *) | |
Defined in Data.Foldable Methods fold :: Monoid m => URec Float m -> m # foldMap :: Monoid m => (a -> m) -> URec Float a -> m # foldr :: (a -> b -> b) -> b -> URec Float a -> b # foldr' :: (a -> b -> b) -> b -> URec Float a -> b # foldl :: (b -> a -> b) -> b -> URec Float a -> b # foldl' :: (b -> a -> b) -> b -> URec Float a -> b # foldr1 :: (a -> a -> a) -> URec Float a -> a # foldl1 :: (a -> a -> a) -> URec Float a -> a # toList :: URec Float a -> [a] # null :: URec Float a -> Bool # length :: URec Float a -> Int # elem :: Eq a => a -> URec Float a -> Bool # maximum :: Ord a => URec Float a -> a # minimum :: Ord a => URec Float a -> a # | |
| Foldable (URec Int :: * -> *) | |
Defined in Data.Foldable Methods fold :: Monoid m => URec Int m -> m # foldMap :: Monoid m => (a -> m) -> URec Int a -> m # foldr :: (a -> b -> b) -> b -> URec Int a -> b # foldr' :: (a -> b -> b) -> b -> URec Int a -> b # foldl :: (b -> a -> b) -> b -> URec Int a -> b # foldl' :: (b -> a -> b) -> b -> URec Int a -> b # foldr1 :: (a -> a -> a) -> URec Int a -> a # foldl1 :: (a -> a -> a) -> URec Int a -> a # elem :: Eq a => a -> URec Int a -> Bool # maximum :: Ord a => URec Int a -> a # minimum :: Ord a => URec Int a -> a # | |
| Foldable (URec Word :: * -> *) | |
Defined in Data.Foldable Methods fold :: Monoid m => URec Word m -> m # foldMap :: Monoid m => (a -> m) -> URec Word a -> m # foldr :: (a -> b -> b) -> b -> URec Word a -> b # foldr' :: (a -> b -> b) -> b -> URec Word a -> b # foldl :: (b -> a -> b) -> b -> URec Word a -> b # foldl' :: (b -> a -> b) -> b -> URec Word a -> b # foldr1 :: (a -> a -> a) -> URec Word a -> a # foldl1 :: (a -> a -> a) -> URec Word a -> a # toList :: URec Word a -> [a] # length :: URec Word a -> Int # elem :: Eq a => a -> URec Word a -> Bool # maximum :: Ord a => URec Word a -> a # minimum :: Ord a => URec Word a -> a # | |
| Foldable (URec (Ptr ()) :: * -> *) | |
Defined in Data.Foldable Methods fold :: Monoid m => URec (Ptr ()) m -> m # foldMap :: Monoid m => (a -> m) -> URec (Ptr ()) a -> m # foldr :: (a -> b -> b) -> b -> URec (Ptr ()) a -> b # foldr' :: (a -> b -> b) -> b -> URec (Ptr ()) a -> b # foldl :: (b -> a -> b) -> b -> URec (Ptr ()) a -> b # foldl' :: (b -> a -> b) -> b -> URec (Ptr ()) a -> b # foldr1 :: (a -> a -> a) -> URec (Ptr ()) a -> a # foldl1 :: (a -> a -> a) -> URec (Ptr ()) a -> a # toList :: URec (Ptr ()) a -> [a] # null :: URec (Ptr ()) a -> Bool # length :: URec (Ptr ()) a -> Int # elem :: Eq a => a -> URec (Ptr ()) a -> Bool # maximum :: Ord a => URec (Ptr ()) a -> a # minimum :: Ord a => URec (Ptr ()) a -> a # | |
| Foldable (Const m :: * -> *) | Since: base-4.7.0.0 |
Defined in Data.Functor.Const Methods fold :: Monoid m0 => Const m m0 -> m0 # foldMap :: Monoid m0 => (a -> m0) -> Const m a -> m0 # foldr :: (a -> b -> b) -> b -> Const m a -> b # foldr' :: (a -> b -> b) -> b -> Const m a -> b # foldl :: (b -> a -> b) -> b -> Const m a -> b # foldl' :: (b -> a -> b) -> b -> Const m a -> b # foldr1 :: (a -> a -> a) -> Const m a -> a # foldl1 :: (a -> a -> a) -> Const m a -> a # elem :: Eq a => a -> Const m a -> Bool # maximum :: Ord a => Const m a -> a # minimum :: Ord a => Const m a -> a # | |
| Bifoldable p => Foldable (Join p) | |
Defined in Data.Bifunctor.Join Methods fold :: Monoid m => Join p m -> m # foldMap :: Monoid m => (a -> m) -> Join p a -> m # foldr :: (a -> b -> b) -> b -> Join p a -> b # foldr' :: (a -> b -> b) -> b -> Join p a -> b # foldl :: (b -> a -> b) -> b -> Join p a -> b # foldl' :: (b -> a -> b) -> b -> Join p a -> b # foldr1 :: (a -> a -> a) -> Join p a -> a # foldl1 :: (a -> a -> a) -> Join p a -> a # elem :: Eq a => a -> Join p a -> Bool # maximum :: Ord a => Join p a -> a # minimum :: Ord a => Join p a -> a # | |
| Bifoldable p => Foldable (Fix p) | |
Defined in Data.Bifunctor.Fix Methods fold :: Monoid m => Fix p m -> m # foldMap :: Monoid m => (a -> m) -> Fix p a -> m # foldr :: (a -> b -> b) -> b -> Fix p a -> b # foldr' :: (a -> b -> b) -> b -> Fix p a -> b # foldl :: (b -> a -> b) -> b -> Fix p a -> b # foldl' :: (b -> a -> b) -> b -> Fix p a -> b # foldr1 :: (a -> a -> a) -> Fix p a -> a # foldl1 :: (a -> a -> a) -> Fix p a -> a # elem :: Eq a => a -> Fix p a -> Bool # maximum :: Ord a => Fix p a -> a # minimum :: Ord a => Fix p a -> a # | |
| Foldable f => Foldable (IdentityT f) | |
Defined in Control.Monad.Trans.Identity Methods fold :: Monoid m => IdentityT f m -> m # foldMap :: Monoid m => (a -> m) -> IdentityT f a -> m # foldr :: (a -> b -> b) -> b -> IdentityT f a -> b # foldr' :: (a -> b -> b) -> b -> IdentityT f a -> b # foldl :: (b -> a -> b) -> b -> IdentityT f a -> b # foldl' :: (b -> a -> b) -> b -> IdentityT f a -> b # foldr1 :: (a -> a -> a) -> IdentityT f a -> a # foldl1 :: (a -> a -> a) -> IdentityT f a -> a # toList :: IdentityT f a -> [a] # null :: IdentityT f a -> Bool # length :: IdentityT f a -> Int # elem :: Eq a => a -> IdentityT f a -> Bool # maximum :: Ord a => IdentityT f a -> a # minimum :: Ord a => IdentityT f a -> a # | |
| Foldable f => Foldable (ExceptT e f) | |
Defined in Control.Monad.Trans.Except Methods fold :: Monoid m => ExceptT e f m -> m # foldMap :: Monoid m => (a -> m) -> ExceptT e f a -> m # foldr :: (a -> b -> b) -> b -> ExceptT e f a -> b # foldr' :: (a -> b -> b) -> b -> ExceptT e f a -> b # foldl :: (b -> a -> b) -> b -> ExceptT e f a -> b # foldl' :: (b -> a -> b) -> b -> ExceptT e f a -> b # foldr1 :: (a -> a -> a) -> ExceptT e f a -> a # foldl1 :: (a -> a -> a) -> ExceptT e f a -> a # toList :: ExceptT e f a -> [a] # null :: ExceptT e f a -> Bool # length :: ExceptT e f a -> Int # elem :: Eq a => a -> ExceptT e f a -> Bool # maximum :: Ord a => ExceptT e f a -> a # minimum :: Ord a => ExceptT e f a -> a # | |
| Foldable f => Foldable (FreeF f a) | |
Defined in Control.Monad.Trans.Free Methods fold :: Monoid m => FreeF f a m -> m # foldMap :: Monoid m => (a0 -> m) -> FreeF f a a0 -> m # foldr :: (a0 -> b -> b) -> b -> FreeF f a a0 -> b # foldr' :: (a0 -> b -> b) -> b -> FreeF f a a0 -> b # foldl :: (b -> a0 -> b) -> b -> FreeF f a a0 -> b # foldl' :: (b -> a0 -> b) -> b -> FreeF f a a0 -> b # foldr1 :: (a0 -> a0 -> a0) -> FreeF f a a0 -> a0 # foldl1 :: (a0 -> a0 -> a0) -> FreeF f a a0 -> a0 # toList :: FreeF f a a0 -> [a0] # null :: FreeF f a a0 -> Bool # length :: FreeF f a a0 -> Int # elem :: Eq a0 => a0 -> FreeF f a a0 -> Bool # maximum :: Ord a0 => FreeF f a a0 -> a0 # minimum :: Ord a0 => FreeF f a a0 -> a0 # | |
| (Foldable m, Foldable f) => Foldable (FreeT f m) | |
Defined in Control.Monad.Trans.Free Methods fold :: Monoid m0 => FreeT f m m0 -> m0 # foldMap :: Monoid m0 => (a -> m0) -> FreeT f m a -> m0 # foldr :: (a -> b -> b) -> b -> FreeT f m a -> b # foldr' :: (a -> b -> b) -> b -> FreeT f m a -> b # foldl :: (b -> a -> b) -> b -> FreeT f m a -> b # foldl' :: (b -> a -> b) -> b -> FreeT f m a -> b # foldr1 :: (a -> a -> a) -> FreeT f m a -> a # foldl1 :: (a -> a -> a) -> FreeT f m a -> a # toList :: FreeT f m a -> [a] # length :: FreeT f m a -> Int # elem :: Eq a => a -> FreeT f m a -> Bool # maximum :: Ord a => FreeT f m a -> a # minimum :: Ord a => FreeT f m a -> a # | |
| Foldable f => Foldable (CofreeF f a) | |
Defined in Control.Comonad.Trans.Cofree Methods fold :: Monoid m => CofreeF f a m -> m # foldMap :: Monoid m => (a0 -> m) -> CofreeF f a a0 -> m # foldr :: (a0 -> b -> b) -> b -> CofreeF f a a0 -> b # foldr' :: (a0 -> b -> b) -> b -> CofreeF f a a0 -> b # foldl :: (b -> a0 -> b) -> b -> CofreeF f a a0 -> b # foldl' :: (b -> a0 -> b) -> b -> CofreeF f a a0 -> b # foldr1 :: (a0 -> a0 -> a0) -> CofreeF f a a0 -> a0 # foldl1 :: (a0 -> a0 -> a0) -> CofreeF f a a0 -> a0 # toList :: CofreeF f a a0 -> [a0] # null :: CofreeF f a a0 -> Bool # length :: CofreeF f a a0 -> Int # elem :: Eq a0 => a0 -> CofreeF f a a0 -> Bool # maximum :: Ord a0 => CofreeF f a a0 -> a0 # minimum :: Ord a0 => CofreeF f a a0 -> a0 # | |
| (Foldable f, Foldable w) => Foldable (CofreeT f w) | |
Defined in Control.Comonad.Trans.Cofree Methods fold :: Monoid m => CofreeT f w m -> m # foldMap :: Monoid m => (a -> m) -> CofreeT f w a -> m # foldr :: (a -> b -> b) -> b -> CofreeT f w a -> b # foldr' :: (a -> b -> b) -> b -> CofreeT f w a -> b # foldl :: (b -> a -> b) -> b -> CofreeT f w a -> b # foldl' :: (b -> a -> b) -> b -> CofreeT f w a -> b # foldr1 :: (a -> a -> a) -> CofreeT f w a -> a # foldl1 :: (a -> a -> a) -> CofreeT f w a -> a # toList :: CofreeT f w a -> [a] # null :: CofreeT f w a -> Bool # length :: CofreeT f w a -> Int # elem :: Eq a => a -> CofreeT f w a -> Bool # maximum :: Ord a => CofreeT f w a -> a # minimum :: Ord a => CofreeT f w a -> a # | |
| Foldable f => Foldable (ErrorT e f) | |
Defined in Control.Monad.Trans.Error Methods fold :: Monoid m => ErrorT e f m -> m # foldMap :: Monoid m => (a -> m) -> ErrorT e f a -> m # foldr :: (a -> b -> b) -> b -> ErrorT e f a -> b # foldr' :: (a -> b -> b) -> b -> ErrorT e f a -> b # foldl :: (b -> a -> b) -> b -> ErrorT e f a -> b # foldl' :: (b -> a -> b) -> b -> ErrorT e f a -> b # foldr1 :: (a -> a -> a) -> ErrorT e f a -> a # foldl1 :: (a -> a -> a) -> ErrorT e f a -> a # toList :: ErrorT e f a -> [a] # null :: ErrorT e f a -> Bool # length :: ErrorT e f a -> Int # elem :: Eq a => a -> ErrorT e f a -> Bool # maximum :: Ord a => ErrorT e f a -> a # minimum :: Ord a => ErrorT e f a -> a # | |
| Foldable f => Foldable (Backwards f) | Derived instance. |
Defined in Control.Applicative.Backwards Methods fold :: Monoid m => Backwards f m -> m # foldMap :: Monoid m => (a -> m) -> Backwards f a -> m # foldr :: (a -> b -> b) -> b -> Backwards f a -> b # foldr' :: (a -> b -> b) -> b -> Backwards f a -> b # foldl :: (b -> a -> b) -> b -> Backwards f a -> b # foldl' :: (b -> a -> b) -> b -> Backwards f a -> b # foldr1 :: (a -> a -> a) -> Backwards f a -> a # foldl1 :: (a -> a -> a) -> Backwards f a -> a # toList :: Backwards f a -> [a] # null :: Backwards f a -> Bool # length :: Backwards f a -> Int # elem :: Eq a => a -> Backwards f a -> Bool # maximum :: Ord a => Backwards f a -> a # minimum :: Ord a => Backwards f a -> a # | |
| Foldable (Forget r a) | |
Defined in Data.Profunctor.Types Methods fold :: Monoid m => Forget r a m -> m # foldMap :: Monoid m => (a0 -> m) -> Forget r a a0 -> m # foldr :: (a0 -> b -> b) -> b -> Forget r a a0 -> b # foldr' :: (a0 -> b -> b) -> b -> Forget r a a0 -> b # foldl :: (b -> a0 -> b) -> b -> Forget r a a0 -> b # foldl' :: (b -> a0 -> b) -> b -> Forget r a a0 -> b # foldr1 :: (a0 -> a0 -> a0) -> Forget r a a0 -> a0 # foldl1 :: (a0 -> a0 -> a0) -> Forget r a a0 -> a0 # toList :: Forget r a a0 -> [a0] # null :: Forget r a a0 -> Bool # length :: Forget r a a0 -> Int # elem :: Eq a0 => a0 -> Forget r a a0 -> Bool # maximum :: Ord a0 => Forget r a a0 -> a0 # minimum :: Ord a0 => Forget r a a0 -> a0 # | |
| Foldable (Bucket k p) | |
Defined in Data.HashPSQ.Internal Methods fold :: Monoid m => Bucket k p m -> m # foldMap :: Monoid m => (a -> m) -> Bucket k p a -> m # foldr :: (a -> b -> b) -> b -> Bucket k p a -> b # foldr' :: (a -> b -> b) -> b -> Bucket k p a -> b # foldl :: (b -> a -> b) -> b -> Bucket k p a -> b # foldl' :: (b -> a -> b) -> b -> Bucket k p a -> b # foldr1 :: (a -> a -> a) -> Bucket k p a -> a # foldl1 :: (a -> a -> a) -> Bucket k p a -> a # toList :: Bucket k p a -> [a] # null :: Bucket k p a -> Bool # length :: Bucket k p a -> Int # elem :: Eq a => a -> Bucket k p a -> Bool # maximum :: Ord a => Bucket k p a -> a # minimum :: Ord a => Bucket k p a -> a # | |
| Foldable (LTree k p) | |
Defined in Data.OrdPSQ.Internal Methods fold :: Monoid m => LTree k p m -> m # foldMap :: Monoid m => (a -> m) -> LTree k p a -> m # foldr :: (a -> b -> b) -> b -> LTree k p a -> b # foldr' :: (a -> b -> b) -> b -> LTree k p a -> b # foldl :: (b -> a -> b) -> b -> LTree k p a -> b # foldl' :: (b -> a -> b) -> b -> LTree k p a -> b # foldr1 :: (a -> a -> a) -> LTree k p a -> a # foldl1 :: (a -> a -> a) -> LTree k p a -> a # toList :: LTree k p a -> [a] # length :: LTree k p a -> Int # elem :: Eq a => a -> LTree k p a -> Bool # maximum :: Ord a => LTree k p a -> a # minimum :: Ord a => LTree k p a -> a # | |
| Foldable (Elem k p) | |
Defined in Data.OrdPSQ.Internal Methods fold :: Monoid m => Elem k p m -> m # foldMap :: Monoid m => (a -> m) -> Elem k p a -> m # foldr :: (a -> b -> b) -> b -> Elem k p a -> b # foldr' :: (a -> b -> b) -> b -> Elem k p a -> b # foldl :: (b -> a -> b) -> b -> Elem k p a -> b # foldl' :: (b -> a -> b) -> b -> Elem k p a -> b # foldr1 :: (a -> a -> a) -> Elem k p a -> a # foldl1 :: (a -> a -> a) -> Elem k p a -> a # elem :: Eq a => a -> Elem k p a -> Bool # maximum :: Ord a => Elem k p a -> a # minimum :: Ord a => Elem k p a -> a # | |
| Foldable (HashPSQ k p) | |
Defined in Data.HashPSQ.Internal Methods fold :: Monoid m => HashPSQ k p m -> m # foldMap :: Monoid m => (a -> m) -> HashPSQ k p a -> m # foldr :: (a -> b -> b) -> b -> HashPSQ k p a -> b # foldr' :: (a -> b -> b) -> b -> HashPSQ k p a -> b # foldl :: (b -> a -> b) -> b -> HashPSQ k p a -> b # foldl' :: (b -> a -> b) -> b -> HashPSQ k p a -> b # foldr1 :: (a -> a -> a) -> HashPSQ k p a -> a # foldl1 :: (a -> a -> a) -> HashPSQ k p a -> a # toList :: HashPSQ k p a -> [a] # null :: HashPSQ k p a -> Bool # length :: HashPSQ k p a -> Int # elem :: Eq a => a -> HashPSQ k p a -> Bool # maximum :: Ord a => HashPSQ k p a -> a # minimum :: Ord a => HashPSQ k p a -> a # | |
| Foldable (OrdPSQ k p) | |
Defined in Data.OrdPSQ.Internal Methods fold :: Monoid m => OrdPSQ k p m -> m # foldMap :: Monoid m => (a -> m) -> OrdPSQ k p a -> m # foldr :: (a -> b -> b) -> b -> OrdPSQ k p a -> b # foldr' :: (a -> b -> b) -> b -> OrdPSQ k p a -> b # foldl :: (b -> a -> b) -> b -> OrdPSQ k p a -> b # foldl' :: (b -> a -> b) -> b -> OrdPSQ k p a -> b # foldr1 :: (a -> a -> a) -> OrdPSQ k p a -> a # foldl1 :: (a -> a -> a) -> OrdPSQ k p a -> a # toList :: OrdPSQ k p a -> [a] # null :: OrdPSQ k p a -> Bool # length :: OrdPSQ k p a -> Int # elem :: Eq a => a -> OrdPSQ k p a -> Bool # maximum :: Ord a => OrdPSQ k p a -> a # minimum :: Ord a => OrdPSQ k p a -> a # | |
| Foldable (Tagged s) | |
Defined in Data.Tagged Methods fold :: Monoid m => Tagged s m -> m # foldMap :: Monoid m => (a -> m) -> Tagged s a -> m # foldr :: (a -> b -> b) -> b -> Tagged s a -> b # foldr' :: (a -> b -> b) -> b -> Tagged s a -> b # foldl :: (b -> a -> b) -> b -> Tagged s a -> b # foldl' :: (b -> a -> b) -> b -> Tagged s a -> b # foldr1 :: (a -> a -> a) -> Tagged s a -> a # foldl1 :: (a -> a -> a) -> Tagged s a -> a # elem :: Eq a => a -> Tagged s a -> Bool # maximum :: Ord a => Tagged s a -> a # minimum :: Ord a => Tagged s a -> a # | |
| Foldable (K1 i c :: * -> *) | |
Defined in Data.Foldable Methods fold :: Monoid m => K1 i c m -> m # foldMap :: Monoid m => (a -> m) -> K1 i c a -> m # foldr :: (a -> b -> b) -> b -> K1 i c a -> b # foldr' :: (a -> b -> b) -> b -> K1 i c a -> b # foldl :: (b -> a -> b) -> b -> K1 i c a -> b # foldl' :: (b -> a -> b) -> b -> K1 i c a -> b # foldr1 :: (a -> a -> a) -> K1 i c a -> a # foldl1 :: (a -> a -> a) -> K1 i c a -> a # elem :: Eq a => a -> K1 i c a -> Bool # maximum :: Ord a => K1 i c a -> a # minimum :: Ord a => K1 i c a -> a # | |
| (Foldable f, Foldable g) => Foldable (f :+: g) | |
Defined in Data.Foldable Methods fold :: Monoid m => (f :+: g) m -> m # foldMap :: Monoid m => (a -> m) -> (f :+: g) a -> m # foldr :: (a -> b -> b) -> b -> (f :+: g) a -> b # foldr' :: (a -> b -> b) -> b -> (f :+: g) a -> b # foldl :: (b -> a -> b) -> b -> (f :+: g) a -> b # foldl' :: (b -> a -> b) -> b -> (f :+: g) a -> b # foldr1 :: (a -> a -> a) -> (f :+: g) a -> a # foldl1 :: (a -> a -> a) -> (f :+: g) a -> a # toList :: (f :+: g) a -> [a] # length :: (f :+: g) a -> Int # elem :: Eq a => a -> (f :+: g) a -> Bool # maximum :: Ord a => (f :+: g) a -> a # minimum :: Ord a => (f :+: g) a -> a # | |
| (Foldable f, Foldable g) => Foldable (f :*: g) | |
Defined in Data.Foldable Methods fold :: Monoid m => (f :*: g) m -> m # foldMap :: Monoid m => (a -> m) -> (f :*: g) a -> m # foldr :: (a -> b -> b) -> b -> (f :*: g) a -> b # foldr' :: (a -> b -> b) -> b -> (f :*: g) a -> b # foldl :: (b -> a -> b) -> b -> (f :*: g) a -> b # foldl' :: (b -> a -> b) -> b -> (f :*: g) a -> b # foldr1 :: (a -> a -> a) -> (f :*: g) a -> a # foldl1 :: (a -> a -> a) -> (f :*: g) a -> a # toList :: (f :*: g) a -> [a] # length :: (f :*: g) a -> Int # elem :: Eq a => a -> (f :*: g) a -> Bool # maximum :: Ord a => (f :*: g) a -> a # minimum :: Ord a => (f :*: g) a -> a # | |
| (Foldable f, Foldable g) => Foldable (Product f g) | Since: base-4.9.0.0 |
Defined in Data.Functor.Product Methods fold :: Monoid m => Product f g m -> m # foldMap :: Monoid m => (a -> m) -> Product f g a -> m # foldr :: (a -> b -> b) -> b -> Product f g a -> b # foldr' :: (a -> b -> b) -> b -> Product f g a -> b # foldl :: (b -> a -> b) -> b -> Product f g a -> b # foldl' :: (b -> a -> b) -> b -> Product f g a -> b # foldr1 :: (a -> a -> a) -> Product f g a -> a # foldl1 :: (a -> a -> a) -> Product f g a -> a # toList :: Product f g a -> [a] # null :: Product f g a -> Bool # length :: Product f g a -> Int # elem :: Eq a => a -> Product f g a -> Bool # maximum :: Ord a => Product f g a -> a # minimum :: Ord a => Product f g a -> a # | |
| (Foldable f, Foldable g) => Foldable (Sum f g) | Since: base-4.9.0.0 |
Defined in Data.Functor.Sum Methods fold :: Monoid m => Sum f g m -> m # foldMap :: Monoid m => (a -> m) -> Sum f g a -> m # foldr :: (a -> b -> b) -> b -> Sum f g a -> b # foldr' :: (a -> b -> b) -> b -> Sum f g a -> b # foldl :: (b -> a -> b) -> b -> Sum f g a -> b # foldl' :: (b -> a -> b) -> b -> Sum f g a -> b # foldr1 :: (a -> a -> a) -> Sum f g a -> a # foldl1 :: (a -> a -> a) -> Sum f g a -> a # elem :: Eq a => a -> Sum f g a -> Bool # maximum :: Ord a => Sum f g a -> a # minimum :: Ord a => Sum f g a -> a # | |
| Foldable (Magma i t b) | |
Defined in Control.Lens.Internal.Magma Methods fold :: Monoid m => Magma i t b m -> m # foldMap :: Monoid m => (a -> m) -> Magma i t b a -> m # foldr :: (a -> b0 -> b0) -> b0 -> Magma i t b a -> b0 # foldr' :: (a -> b0 -> b0) -> b0 -> Magma i t b a -> b0 # foldl :: (b0 -> a -> b0) -> b0 -> Magma i t b a -> b0 # foldl' :: (b0 -> a -> b0) -> b0 -> Magma i t b a -> b0 # foldr1 :: (a -> a -> a) -> Magma i t b a -> a # foldl1 :: (a -> a -> a) -> Magma i t b a -> a # toList :: Magma i t b a -> [a] # null :: Magma i t b a -> Bool # length :: Magma i t b a -> Int # elem :: Eq a => a -> Magma i t b a -> Bool # maximum :: Ord a => Magma i t b a -> a # minimum :: Ord a => Magma i t b a -> a # | |
| Foldable f => Foldable (M1 i c f) | |
Defined in Data.Foldable Methods fold :: Monoid m => M1 i c f m -> m # foldMap :: Monoid m => (a -> m) -> M1 i c f a -> m # foldr :: (a -> b -> b) -> b -> M1 i c f a -> b # foldr' :: (a -> b -> b) -> b -> M1 i c f a -> b # foldl :: (b -> a -> b) -> b -> M1 i c f a -> b # foldl' :: (b -> a -> b) -> b -> M1 i c f a -> b # foldr1 :: (a -> a -> a) -> M1 i c f a -> a # foldl1 :: (a -> a -> a) -> M1 i c f a -> a # elem :: Eq a => a -> M1 i c f a -> Bool # maximum :: Ord a => M1 i c f a -> a # minimum :: Ord a => M1 i c f a -> a # | |
| (Foldable f, Foldable g) => Foldable (f :.: g) | |
Defined in Data.Foldable Methods fold :: Monoid m => (f :.: g) m -> m # foldMap :: Monoid m => (a -> m) -> (f :.: g) a -> m # foldr :: (a -> b -> b) -> b -> (f :.: g) a -> b # foldr' :: (a -> b -> b) -> b -> (f :.: g) a -> b # foldl :: (b -> a -> b) -> b -> (f :.: g) a -> b # foldl' :: (b -> a -> b) -> b -> (f :.: g) a -> b # foldr1 :: (a -> a -> a) -> (f :.: g) a -> a # foldl1 :: (a -> a -> a) -> (f :.: g) a -> a # toList :: (f :.: g) a -> [a] # length :: (f :.: g) a -> Int # elem :: Eq a => a -> (f :.: g) a -> Bool # maximum :: Ord a => (f :.: g) a -> a # minimum :: Ord a => (f :.: g) a -> a # | |
| (Foldable f, Foldable g) => Foldable (Compose f g) | Since: base-4.9.0.0 |
Defined in Data.Functor.Compose Methods fold :: Monoid m => Compose f g m -> m # foldMap :: Monoid m => (a -> m) -> Compose f g a -> m # foldr :: (a -> b -> b) -> b -> Compose f g a -> b # foldr' :: (a -> b -> b) -> b -> Compose f g a -> b # foldl :: (b -> a -> b) -> b -> Compose f g a -> b # foldl' :: (b -> a -> b) -> b -> Compose f g a -> b # foldr1 :: (a -> a -> a) -> Compose f g a -> a # foldl1 :: (a -> a -> a) -> Compose f g a -> a # toList :: Compose f g a -> [a] # null :: Compose f g a -> Bool # length :: Compose f g a -> Int # elem :: Eq a => a -> Compose f g a -> Bool # maximum :: Ord a => Compose f g a -> a # minimum :: Ord a => Compose f g a -> a # | |
| Bifoldable p => Foldable (WrappedBifunctor p a) | |
Defined in Data.Bifunctor.Wrapped Methods fold :: Monoid m => WrappedBifunctor p a m -> m # foldMap :: Monoid m => (a0 -> m) -> WrappedBifunctor p a a0 -> m # foldr :: (a0 -> b -> b) -> b -> WrappedBifunctor p a a0 -> b # foldr' :: (a0 -> b -> b) -> b -> WrappedBifunctor p a a0 -> b # foldl :: (b -> a0 -> b) -> b -> WrappedBifunctor p a a0 -> b # foldl' :: (b -> a0 -> b) -> b -> WrappedBifunctor p a a0 -> b # foldr1 :: (a0 -> a0 -> a0) -> WrappedBifunctor p a a0 -> a0 # foldl1 :: (a0 -> a0 -> a0) -> WrappedBifunctor p a a0 -> a0 # toList :: WrappedBifunctor p a a0 -> [a0] # null :: WrappedBifunctor p a a0 -> Bool # length :: WrappedBifunctor p a a0 -> Int # elem :: Eq a0 => a0 -> WrappedBifunctor p a a0 -> Bool # maximum :: Ord a0 => WrappedBifunctor p a a0 -> a0 # minimum :: Ord a0 => WrappedBifunctor p a a0 -> a0 # sum :: Num a0 => WrappedBifunctor p a a0 -> a0 # product :: Num a0 => WrappedBifunctor p a a0 -> a0 # | |
| Foldable g => Foldable (Joker g a) | |
Defined in Data.Bifunctor.Joker Methods fold :: Monoid m => Joker g a m -> m # foldMap :: Monoid m => (a0 -> m) -> Joker g a a0 -> m # foldr :: (a0 -> b -> b) -> b -> Joker g a a0 -> b # foldr' :: (a0 -> b -> b) -> b -> Joker g a a0 -> b # foldl :: (b -> a0 -> b) -> b -> Joker g a a0 -> b # foldl' :: (b -> a0 -> b) -> b -> Joker g a a0 -> b # foldr1 :: (a0 -> a0 -> a0) -> Joker g a a0 -> a0 # foldl1 :: (a0 -> a0 -> a0) -> Joker g a a0 -> a0 # toList :: Joker g a a0 -> [a0] # null :: Joker g a a0 -> Bool # length :: Joker g a a0 -> Int # elem :: Eq a0 => a0 -> Joker g a a0 -> Bool # maximum :: Ord a0 => Joker g a a0 -> a0 # minimum :: Ord a0 => Joker g a a0 -> a0 # | |
| Bifoldable p => Foldable (Flip p a) | |
Defined in Data.Bifunctor.Flip Methods fold :: Monoid m => Flip p a m -> m # foldMap :: Monoid m => (a0 -> m) -> Flip p a a0 -> m # foldr :: (a0 -> b -> b) -> b -> Flip p a a0 -> b # foldr' :: (a0 -> b -> b) -> b -> Flip p a a0 -> b # foldl :: (b -> a0 -> b) -> b -> Flip p a a0 -> b # foldl' :: (b -> a0 -> b) -> b -> Flip p a a0 -> b # foldr1 :: (a0 -> a0 -> a0) -> Flip p a a0 -> a0 # foldl1 :: (a0 -> a0 -> a0) -> Flip p a a0 -> a0 # toList :: Flip p a a0 -> [a0] # length :: Flip p a a0 -> Int # elem :: Eq a0 => a0 -> Flip p a a0 -> Bool # maximum :: Ord a0 => Flip p a a0 -> a0 # minimum :: Ord a0 => Flip p a a0 -> a0 # | |
| Foldable (Clown f a :: * -> *) | |
Defined in Data.Bifunctor.Clown Methods fold :: Monoid m => Clown f a m -> m # foldMap :: Monoid m => (a0 -> m) -> Clown f a a0 -> m # foldr :: (a0 -> b -> b) -> b -> Clown f a a0 -> b # foldr' :: (a0 -> b -> b) -> b -> Clown f a a0 -> b # foldl :: (b -> a0 -> b) -> b -> Clown f a a0 -> b # foldl' :: (b -> a0 -> b) -> b -> Clown f a a0 -> b # foldr1 :: (a0 -> a0 -> a0) -> Clown f a a0 -> a0 # foldl1 :: (a0 -> a0 -> a0) -> Clown f a a0 -> a0 # toList :: Clown f a a0 -> [a0] # null :: Clown f a a0 -> Bool # length :: Clown f a a0 -> Int # elem :: Eq a0 => a0 -> Clown f a a0 -> Bool # maximum :: Ord a0 => Clown f a a0 -> a0 # minimum :: Ord a0 => Clown f a a0 -> a0 # | |
| (Foldable f, Bifoldable p) => Foldable (Tannen f p a) | |
Defined in Data.Bifunctor.Tannen Methods fold :: Monoid m => Tannen f p a m -> m # foldMap :: Monoid m => (a0 -> m) -> Tannen f p a a0 -> m # foldr :: (a0 -> b -> b) -> b -> Tannen f p a a0 -> b # foldr' :: (a0 -> b -> b) -> b -> Tannen f p a a0 -> b # foldl :: (b -> a0 -> b) -> b -> Tannen f p a a0 -> b # foldl' :: (b -> a0 -> b) -> b -> Tannen f p a a0 -> b # foldr1 :: (a0 -> a0 -> a0) -> Tannen f p a a0 -> a0 # foldl1 :: (a0 -> a0 -> a0) -> Tannen f p a a0 -> a0 # toList :: Tannen f p a a0 -> [a0] # null :: Tannen f p a a0 -> Bool # length :: Tannen f p a a0 -> Int # elem :: Eq a0 => a0 -> Tannen f p a a0 -> Bool # maximum :: Ord a0 => Tannen f p a a0 -> a0 # minimum :: Ord a0 => Tannen f p a a0 -> a0 # | |
| (Bifoldable p, Foldable g) => Foldable (Biff p f g a) | |
Defined in Data.Bifunctor.Biff Methods fold :: Monoid m => Biff p f g a m -> m # foldMap :: Monoid m => (a0 -> m) -> Biff p f g a a0 -> m # foldr :: (a0 -> b -> b) -> b -> Biff p f g a a0 -> b # foldr' :: (a0 -> b -> b) -> b -> Biff p f g a a0 -> b # foldl :: (b -> a0 -> b) -> b -> Biff p f g a a0 -> b # foldl' :: (b -> a0 -> b) -> b -> Biff p f g a a0 -> b # foldr1 :: (a0 -> a0 -> a0) -> Biff p f g a a0 -> a0 # foldl1 :: (a0 -> a0 -> a0) -> Biff p f g a a0 -> a0 # toList :: Biff p f g a a0 -> [a0] # null :: Biff p f g a a0 -> Bool # length :: Biff p f g a a0 -> Int # elem :: Eq a0 => a0 -> Biff p f g a a0 -> Bool # maximum :: Ord a0 => Biff p f g a a0 -> a0 # minimum :: Ord a0 => Biff p f g a a0 -> a0 # | |
foldrM :: (Foldable t, Monad m) => (a -> b -> m b) -> b -> t a -> m b #
Monadic fold over the elements of a structure, associating to the right, i.e. from right to left.
foldlM :: (Foldable t, Monad m) => (b -> a -> m b) -> b -> t a -> m b #
Monadic fold over the elements of a structure, associating to the left, i.e. from left to right.
traverse_ :: (Foldable t, Applicative f) => (a -> f b) -> t a -> f () #
Map each element of a structure to an action, evaluate these
actions from left to right, and ignore the results. For a version
that doesn't ignore the results see traverse.
for_ :: (Foldable t, Applicative f) => t a -> (a -> f b) -> f () #
sequenceA_ :: (Foldable t, Applicative f) => t (f a) -> f () #
Evaluate each action in the structure from left to right, and
ignore the results. For a version that doesn't ignore the results
see sequenceA.
asum :: (Foldable t, Alternative f) => t (f a) -> f a #
concatMap :: Foldable t => (a -> [b]) -> t a -> [b] #
Map a function over all the elements of a container and concatenate the resulting lists.
all :: Foldable t => (a -> Bool) -> t a -> Bool #
Determines whether all elements of the structure satisfy the predicate.
any :: Foldable t => (a -> Bool) -> t a -> Bool #
Determines whether any element of the structure satisfies the predicate.
foldM :: (Foldable t, Monad m) => (b -> a -> m b) -> b -> t a -> m b #
The foldM function is analogous to foldl, except that its result is
encapsulated in a monad. Note that foldM works from left-to-right over
the list arguments. This could be an issue where ( and the `folded
function' are not commutative.>>)
foldM f a1 [x1, x2, ..., xm] == do a2 <- f a1 x1 a3 <- f a2 x2 ... f am xm
If right-to-left evaluation is required, the input list should be reversed.
foldM_ :: (Foldable t, Monad m) => (b -> a -> m b) -> b -> t a -> m () #
Like foldM, but discards the result.
Function
($) :: (a -> b) -> a -> b infixr 0 #
Application operator. This operator is redundant, since ordinary
application (f x) means the same as (f . However, $ x)$ has
low, right-associative binding precedence, so it sometimes allows
parentheses to be omitted; for example:
f $ g $ h x = f (g (h x))
It is also useful in higher-order situations, such as map ($ 0) xszipWith ($) fs xs
($!) :: (a -> b) -> a -> b infixr 0 #
Strict (call-by-value) application operator. It takes a function and an argument, evaluates the argument to weak head normal form (WHNF), then calls the function with that value.
const x is a unary function which evaluates to x for all inputs.
>>>const 42 "hello"42
>>>map (const 42) [0..3][42,42,42,42]
fix ff,
i.e. the least defined x such that f x = x.
For example, we can write the factorial function using direct recursion as
>>>let fac n = if n <= 1 then 1 else n * fac (n-1) in fac 5120
This uses the fact that Haskell’s let introduces recursive bindings. We can
rewrite this definition using fix,
>>>fix (\rec n -> if n <= 1 then 1 else n * rec (n-1)) 5120
Instead of making a recursive call, we introduce a dummy parameter rec;
when used within fix, this parameter then refers to fix' argument, hence
the recursion is reintroduced.
flip :: (a -> b -> c) -> b -> a -> c #
flip ff.
>>>flip (++) "hello" "world""worldhello"
until :: (a -> Bool) -> (a -> a) -> a -> a #
until p ff until p holds.
The monoid of endomorphisms under composition.
>>>let computation = Endo ("Hello, " ++) <> Endo (++ "!")>>>appEndo computation "Haskell""Hello, Haskell!"
Instances
| Pointed Endo | |
Defined in Data.Pointed | |
| Generic (Endo a) | |
| Semigroup (Endo a) | Since: base-4.9.0.0 |
| Monoid (Endo a) | Since: base-2.1 |
| Wrapped (Endo a) | |
| Lower (Endo a) | |
Defined in Data.Semilattice.Lower Methods lowerBound :: Endo a # | |
| t ~ Endo b => Rewrapped (Endo a) t | |
Defined in Control.Lens.Wrapped | |
| type Rep (Endo a) | |
Defined in Data.Semigroup.Internal | |
| type Unwrapped (Endo a) | |
Defined in Control.Lens.Wrapped | |
Functor
class Functor (f :: * -> *) where #
The Functor class is used for types that can be mapped over.
Instances of Functor should satisfy the following laws:
fmap id == id fmap (f . g) == fmap f . fmap g
The instances of Functor for lists, Maybe and IO
satisfy these laws.
Minimal complete definition
Instances
(<$>) :: Functor f => (a -> b) -> f a -> f b infixl 4 #
An infix synonym for fmap.
The name of this operator is an allusion to $.
Note the similarities between their types:
($) :: (a -> b) -> a -> b (<$>) :: Functor f => (a -> b) -> f a -> f b
Whereas $ is function application, <$> is function
application lifted over a Functor.
Examples
Convert from a Maybe IntMaybe Stringshow:
>>>show <$> NothingNothing>>>show <$> Just 3Just "3"
Convert from an Either Int IntEither IntString using show:
>>>show <$> Left 17Left 17>>>show <$> Right 17Right "17"
Double each element of a list:
>>>(*2) <$> [1,2,3][2,4,6]
Apply even to the second element of a pair:
>>>even <$> (2,2)(2,True)
($>) :: Functor f => f a -> b -> f b infixl 4 #
Flipped version of <$.
Examples
Replace the contents of a Maybe IntString:
>>>Nothing $> "foo"Nothing>>>Just 90210 $> "foo"Just "foo"
Replace the contents of an Either Int IntString, resulting in an Either Int String
>>>Left 8675309 $> "foo"Left 8675309>>>Right 8675309 $> "foo"Right "foo"
Replace each element of a list with a constant String:
>>>[1,2,3] $> "foo"["foo","foo","foo"]
Replace the second element of a pair with a constant String:
>>>(1,2) $> "foo"(1,"foo")
Since: base-4.7.0.0
void :: Functor f => f a -> f () #
void valueIO action.
Examples
Replace the contents of a Maybe Int
>>>void NothingNothing>>>void (Just 3)Just ()
Replace the contents of an Either Int IntEither Int '()'
>>>void (Left 8675309)Left 8675309>>>void (Right 8675309)Right ()
Replace every element of a list with unit:
>>>void [1,2,3][(),(),()]
Replace the second element of a pair with unit:
>>>void (1,2)(1,())
Discard the result of an IO action:
>>>mapM print [1,2]1 2 [(),()]>>>void $ mapM print [1,2]1 2
Generic
Representable types of kind *.
This class is derivable in GHC with the DeriveGeneric flag on.
A Generic instance must satisfy the following laws:
from.to≡idto.from≡id
Instances
Hashable
The class of types that can be converted to a hash value.
Minimal implementation: hashWithSalt.
Instances
IO
A value of type IO aa.
There is really only one way to "perform" an I/O action: bind it to
Main.main in your program. When your program is run, the I/O will
be performed. It isn't possible to perform I/O from an arbitrary
function, unless that function is itself in the IO monad and called
at some point, directly or indirectly, from Main.main.
IO is a monad, so IO actions can be combined using either the do-notation
or the >> and >>= operations from the Monad class.
Instances
class Monad m => MonadIO (m :: * -> *) where #
Monads in which IO computations may be embedded.
Any monad built by applying a sequence of monad transformers to the
IO monad will be an instance of this class.
Instances should satisfy the following laws, which state that liftIO
is a transformer of monads:
Minimal complete definition
Instances
List
(++) :: [a] -> [a] -> [a] infixr 5 #
Append two lists, i.e.,
[x1, ..., xm] ++ [y1, ..., yn] == [x1, ..., xm, y1, ..., yn] [x1, ..., xm] ++ [y1, ...] == [x1, ..., xm, y1, ...]
If the first list is not finite, the result is the first list.
cycle ties a finite list into a circular one, or equivalently,
the infinite repetition of the original list. It is the identity
on infinite lists.
iterate' :: (a -> a) -> a -> [a] #
'iterate\'' is the strict version of iterate.
It ensures that the result of each application of force to weak head normal form before proceeding.
map :: (a -> b) -> [a] -> [b] #
map f xs is the list obtained by applying f to each element
of xs, i.e.,
map f [x1, x2, ..., xn] == [f x1, f x2, ..., f xn] map f [x1, x2, ...] == [f x1, f x2, ...]
replicate :: Int -> a -> [a] #
replicate n x is a list of length n with x the value of
every element.
It is an instance of the more general genericReplicate,
in which n may be of any integral type.
unfoldr :: (b -> Maybe (a, b)) -> b -> [a] #
The unfoldr function is a `dual' to foldr: while foldr
reduces a list to a summary value, unfoldr builds a list from
a seed value. The function takes the element and returns Nothing
if it is done producing the list or returns Just (a,b), in which
case, a is a prepended to the list and b is used as the next
element in a recursive call. For example,
iterate f == unfoldr (\x -> Just (x, f x))
In some cases, unfoldr can undo a foldr operation:
unfoldr f' (foldr f z xs) == xs
if the following holds:
f' (f x y) = Just (x,y) f' z = Nothing
A simple use of unfoldr:
>>>unfoldr (\b -> if b == 0 then Nothing else Just (b, b-1)) 10[10,9,8,7,6,5,4,3,2,1]
Map
A Map from keys k to values a.
Instances
| Eq2 Map | Since: containers-0.5.9 |
| Ord2 Map | Since: containers-0.5.9 |
Defined in Data.Map.Internal | |
| Show2 Map | Since: containers-0.5.9 |
| Ord k => TraverseMin k (Map k) | |
Defined in Control.Lens.Traversal Methods traverseMin :: (Indexable k p, Applicative f) => p v (f v) -> Map k v -> f (Map k v) # | |
| Ord k => TraverseMax k (Map k) | |
Defined in Control.Lens.Traversal Methods traverseMax :: (Indexable k p, Applicative f) => p v (f v) -> Map k v -> f (Map k v) # | |
| Functor (Map k) | |
| Foldable (Map k) | |
Defined in Data.Map.Internal Methods fold :: Monoid m => Map k m -> m # foldMap :: Monoid m => (a -> m) -> Map k a -> m # foldr :: (a -> b -> b) -> b -> Map k a -> b # foldr' :: (a -> b -> b) -> b -> Map k a -> b # foldl :: (b -> a -> b) -> b -> Map k a -> b # foldl' :: (b -> a -> b) -> b -> Map k a -> b # foldr1 :: (a -> a -> a) -> Map k a -> a # foldl1 :: (a -> a -> a) -> Map k a -> a # elem :: Eq a => a -> Map k a -> Bool # maximum :: Ord a => Map k a -> a # minimum :: Ord a => Map k a -> a # | |
| Traversable (Map k) | |
| ToJSONKey k => ToJSON1 (Map k) | |
Defined in Data.Aeson.Types.ToJSON Methods liftToJSON :: (a -> Value) -> ([a] -> Value) -> Map k a -> Value # liftToJSONList :: (a -> Value) -> ([a] -> Value) -> [Map k a] -> Value # liftToEncoding :: (a -> Encoding) -> ([a] -> Encoding) -> Map k a -> Encoding # liftToEncodingList :: (a -> Encoding) -> ([a] -> Encoding) -> [Map k a] -> Encoding # | |
| (FromJSONKey k, Ord k) => FromJSON1 (Map k) | |
| Eq k => Eq1 (Map k) | Since: containers-0.5.9 |
| Ord k => Ord1 (Map k) | Since: containers-0.5.9 |
Defined in Data.Map.Internal | |
| (Ord k, Read k) => Read1 (Map k) | Since: containers-0.5.9 |
Defined in Data.Map.Internal | |
| Show k => Show1 (Map k) | Since: containers-0.5.9 |
| Compactable (Map k) | |
Defined in Control.Compactable Methods compact :: Map k (Maybe a) -> Map k a # separate :: Map k (Either l r) -> (Map k l, Map k r) # filter :: (a -> Bool) -> Map k a -> Map k a # partition :: (a -> Bool) -> Map k a -> (Map k a, Map k a) # fmapMaybe :: Functor (Map k) => (a -> Maybe b) -> Map k a -> Map k b # fmapEither :: Functor (Map k) => (a -> Either l r) -> Map k a -> (Map k l, Map k r) # applyMaybe :: Applicative (Map k) => Map k (a -> Maybe b) -> Map k a -> Map k b # applyEither :: Applicative (Map k) => Map k (a -> Either l r) -> Map k a -> (Map k l, Map k r) # bindMaybe :: Monad (Map k) => Map k a -> (a -> Map k (Maybe b)) -> Map k b # bindEither :: Monad (Map k) => Map k a -> (a -> Map k (Either l r)) -> (Map k l, Map k r) # traverseMaybe :: (Applicative g, Traversable (Map k)) => (a -> g (Maybe b)) -> Map k a -> g (Map k b) # traverseEither :: (Applicative g, Traversable (Map k)) => (a -> g (Either l r)) -> Map k a -> g (Map k l, Map k r) # | |
| Ord k => Apply (Map k) | A Map is not |
| Default k => Pointed (Map k) | |
Defined in Data.Pointed | |
| Ord k => Plus (Map k) | |
Defined in Data.Functor.Plus | |
| Ord k => Alt (Map k) | |
| Ord k => Bind (Map k) | |
| Ord k => IsList (Map k v) | Since: containers-0.5.6.2 |
| (Eq k, Eq a) => Eq (Map k a) | |
| (Data k, Data a, Ord k) => Data (Map k a) | |
Defined in Data.Map.Internal Methods gfoldl :: (forall d b. Data d => c (d -> b) -> d -> c b) -> (forall g. g -> c g) -> Map k a -> c (Map k a) # gunfold :: (forall b r. Data b => c (b -> r) -> c r) -> (forall r. r -> c r) -> Constr -> c (Map k a) # toConstr :: Map k a -> Constr # dataTypeOf :: Map k a -> DataType # dataCast1 :: Typeable t => (forall d. Data d => c (t d)) -> Maybe (c (Map k a)) # dataCast2 :: Typeable t => (forall d e. (Data d, Data e) => c (t d e)) -> Maybe (c (Map k a)) # gmapT :: (forall b. Data b => b -> b) -> Map k a -> Map k a # gmapQl :: (r -> r' -> r) -> r -> (forall d. Data d => d -> r') -> Map k a -> r # gmapQr :: (r' -> r -> r) -> r -> (forall d. Data d => d -> r') -> Map k a -> r # gmapQ :: (forall d. Data d => d -> u) -> Map k a -> [u] # gmapQi :: Int -> (forall d. Data d => d -> u) -> Map k a -> u # gmapM :: Monad m => (forall d. Data d => d -> m d) -> Map k a -> m (Map k a) # gmapMp :: MonadPlus m => (forall d. Data d => d -> m d) -> Map k a -> m (Map k a) # gmapMo :: MonadPlus m => (forall d. Data d => d -> m d) -> Map k a -> m (Map k a) # | |
| (Ord k, Ord v) => Ord (Map k v) | |
| (Ord k, Read k, Read e) => Read (Map k e) | |
| (Show k, Show a) => Show (Map k a) | |
| Ord k => Semigroup (Map k v) | |
| Ord k => Monoid (Map k v) | |
| (ToJSON v, ToJSONKey k) => ToJSON (Map k v) | |
Defined in Data.Aeson.Types.ToJSON | |
| (FromJSONKey k, Ord k, FromJSON v) => FromJSON (Map k v) | |
| (NFData k, NFData a) => NFData (Map k a) | |
Defined in Data.Map.Internal | |
| Ord k => Ixed (Map k a) | |
Defined in Control.Lens.At | |
| Ord k => At (Map k a) | |
| Ord k => Wrapped (Map k a) | |
| AsEmpty (Map k a) | |
Defined in Control.Lens.Empty | |
| (Ord k, Meet a) => Meet (Map k a) | Map union with Idempotence: x /\ x == (x :: Map Char (Set Char)) Associativity: a /\ (b /\ c) == (a /\ b) /\ (c :: Map Char (Set Char)) Commutativity: a /\ b == b /\ (a :: Map Char (Set Char)) Absorption: lowerBound /\ a == (lowerBound :: Map Char (Set Char)) |
| (Ord k, Join a) => Join (Map k a) | Map union with Idempotence: x \/ x == (x :: Map Char (Set Char)) Associativity: a \/ (b \/ c) == (a \/ b) \/ (c :: Map Char (Set Char)) Commutativity: a \/ b == b \/ (a :: Map Char (Set Char)) Identity: lowerBound \/ a == (a :: Map Char (Set Char)) |
| Lower (Map k a) | |
Defined in Data.Semilattice.Lower Methods lowerBound :: Map k a # | |
| (Ord k, Serialise k, Serialise v) => Serialise (Map k v) | Since: serialise-0.2.0.0 |
| (t ~ Map k' a', Ord k) => Rewrapped (Map k a) t | Use |
Defined in Control.Lens.Wrapped | |
| c ~ d => Each (Map c a) (Map d b) a b |
|
| type Item (Map k v) | |
Defined in Data.Map.Internal | |
| type Index (Map k a) | |
Defined in Control.Lens.At | |
| type IxValue (Map k a) | |
Defined in Control.Lens.At | |
| type Unwrapped (Map k a) | |
Defined in Control.Lens.Wrapped | |
Map.Hash
A map from keys to values. A map cannot contain duplicate keys; each key can map to at most one value.
Instances
| Eq2 HashMap | |
| Ord2 HashMap | |
Defined in Data.HashMap.Base | |
| Show2 HashMap | |
| Hashable2 HashMap | |
Defined in Data.HashMap.Base | |
| Functor (HashMap k) | |
| Foldable (HashMap k) | |
Defined in Data.HashMap.Base Methods fold :: Monoid m => HashMap k m -> m # foldMap :: Monoid m => (a -> m) -> HashMap k a -> m # foldr :: (a -> b -> b) -> b -> HashMap k a -> b # foldr' :: (a -> b -> b) -> b -> HashMap k a -> b # foldl :: (b -> a -> b) -> b -> HashMap k a -> b # foldl' :: (b -> a -> b) -> b -> HashMap k a -> b # foldr1 :: (a -> a -> a) -> HashMap k a -> a # foldl1 :: (a -> a -> a) -> HashMap k a -> a # toList :: HashMap k a -> [a] # length :: HashMap k a -> Int # elem :: Eq a => a -> HashMap k a -> Bool # maximum :: Ord a => HashMap k a -> a # minimum :: Ord a => HashMap k a -> a # | |
| Traversable (HashMap k) | |
Defined in Data.HashMap.Base | |
| ToJSONKey k => ToJSON1 (HashMap k) | |
Defined in Data.Aeson.Types.ToJSON Methods liftToJSON :: (a -> Value) -> ([a] -> Value) -> HashMap k a -> Value # liftToJSONList :: (a -> Value) -> ([a] -> Value) -> [HashMap k a] -> Value # liftToEncoding :: (a -> Encoding) -> ([a] -> Encoding) -> HashMap k a -> Encoding # liftToEncodingList :: (a -> Encoding) -> ([a] -> Encoding) -> [HashMap k a] -> Encoding # | |
| (FromJSONKey k, Eq k, Hashable k) => FromJSON1 (HashMap k) | |
| Eq k => Eq1 (HashMap k) | |
| Ord k => Ord1 (HashMap k) | |
Defined in Data.HashMap.Base | |
| (Eq k, Hashable k, Read k) => Read1 (HashMap k) | |
Defined in Data.HashMap.Base | |
| Show k => Show1 (HashMap k) | |
| Hashable k => Hashable1 (HashMap k) | |
Defined in Data.HashMap.Base | |
| (Hashable k, Eq k) => Apply (HashMap k) | A |
| (Default k, Hashable k) => Pointed (HashMap k) | |
Defined in Data.Pointed | |
| (Hashable k, Eq k) => Bind (HashMap k) | |
| (Eq k, Hashable k) => IsList (HashMap k v) | |
| (Eq k, Eq v) => Eq (HashMap k v) | |
| (Data k, Data v, Eq k, Hashable k) => Data (HashMap k v) | |
Defined in Data.HashMap.Base Methods gfoldl :: (forall d b. Data d => c (d -> b) -> d -> c b) -> (forall g. g -> c g) -> HashMap k v -> c (HashMap k v) # gunfold :: (forall b r. Data b => c (b -> r) -> c r) -> (forall r. r -> c r) -> Constr -> c (HashMap k v) # toConstr :: HashMap k v -> Constr # dataTypeOf :: HashMap k v -> DataType # dataCast1 :: Typeable t => (forall d. Data d => c (t d)) -> Maybe (c (HashMap k v)) # dataCast2 :: Typeable t => (forall d e. (Data d, Data e) => c (t d e)) -> Maybe (c (HashMap k v)) # gmapT :: (forall b. Data b => b -> b) -> HashMap k v -> HashMap k v # gmapQl :: (r -> r' -> r) -> r -> (forall d. Data d => d -> r') -> HashMap k v -> r # gmapQr :: (r' -> r -> r) -> r -> (forall d. Data d => d -> r') -> HashMap k v -> r # gmapQ :: (forall d. Data d => d -> u) -> HashMap k v -> [u] # gmapQi :: Int -> (forall d. Data d => d -> u) -> HashMap k v -> u # gmapM :: Monad m => (forall d. Data d => d -> m d) -> HashMap k v -> m (HashMap k v) # gmapMp :: MonadPlus m => (forall d. Data d => d -> m d) -> HashMap k v -> m (HashMap k v) # gmapMo :: MonadPlus m => (forall d. Data d => d -> m d) -> HashMap k v -> m (HashMap k v) # | |
| (Ord k, Ord v) => Ord (HashMap k v) | The order is total. Note: Because the hash is not guaranteed to be stable across library
versions, OSes, or architectures, neither is an actual order of elements in
|
Defined in Data.HashMap.Base | |
| (Eq k, Hashable k, Read k, Read e) => Read (HashMap k e) | |
| (Show k, Show v) => Show (HashMap k v) | |
| (Eq k, Hashable k) => Semigroup (HashMap k v) | |
| (Eq k, Hashable k) => Monoid (HashMap k v) | |
| (Hashable k, Hashable v) => Hashable (HashMap k v) | |
Defined in Data.HashMap.Base | |
| (ToJSON v, ToJSONKey k) => ToJSON (HashMap k v) | |
Defined in Data.Aeson.Types.ToJSON | |
| (FromJSON v, FromJSONKey k, Eq k, Hashable k) => FromJSON (HashMap k v) | |
| (NFData k, NFData v) => NFData (HashMap k v) | |
Defined in Data.HashMap.Base | |
| (Eq k, Hashable k) => Ixed (HashMap k a) | |
Defined in Control.Lens.At | |
| (Eq k, Hashable k) => At (HashMap k a) | |
| (Hashable k, Eq k) => Wrapped (HashMap k a) | |
| AsEmpty (HashMap k a) | |
Defined in Control.Lens.Empty | |
| (Eq k, Hashable k, Meet a) => Meet (HashMap k a) | HashMap union with Idempotence: x /\ x == (x :: HashMap Char (Set Char)) Associativity: a /\ (b /\ c) == (a /\ b) /\ (c :: HashMap Char (Set Char)) Commutativity: a /\ b == b /\ (a :: HashMap Char (Set Char)) Absorption: lowerBound /\ a == (lowerBound :: HashMap Char (Set Char)) |
| (Eq k, Hashable k, Join a) => Join (HashMap k a) | HashMap union with Idempotence: x \/ x == (x :: HashMap Char (Set Char)) Associativity: a \/ (b \/ c) == (a \/ b) \/ (c :: HashMap Char (Set Char)) Commutativity: a \/ b == b \/ (a :: HashMap Char (Set Char)) Identity: lowerBound \/ a == (a :: HashMap Char (Set Char)) |
| Lower (HashMap k a) | |
Defined in Data.Semilattice.Lower Methods lowerBound :: HashMap k a # | |
| (Serialise k, Hashable k, Eq k, Serialise v) => Serialise (HashMap k v) | Since: serialise-0.2.0.0 |
| (t ~ HashMap k' a', Hashable k, Eq k) => Rewrapped (HashMap k a) t | Use |
Defined in Control.Lens.Wrapped | |
| c ~ d => Each (HashMap c a) (HashMap d b) a b |
|
| type Item (HashMap k v) | |
Defined in Data.HashMap.Base | |
| type Index (HashMap k a) | |
Defined in Control.Lens.At | |
| type IxValue (HashMap k a) | |
Defined in Control.Lens.At | |
| type Unwrapped (HashMap k a) | |
Defined in Control.Lens.Wrapped | |
Map.Int
A map of integers to values a.
Instances
| Functor IntMap | |
| Foldable IntMap | |
Defined in Data.IntMap.Internal Methods fold :: Monoid m => IntMap m -> m # foldMap :: Monoid m => (a -> m) -> IntMap a -> m # foldr :: (a -> b -> b) -> b -> IntMap a -> b # foldr' :: (a -> b -> b) -> b -> IntMap a -> b # foldl :: (b -> a -> b) -> b -> IntMap a -> b # foldl' :: (b -> a -> b) -> b -> IntMap a -> b # foldr1 :: (a -> a -> a) -> IntMap a -> a # foldl1 :: (a -> a -> a) -> IntMap a -> a # elem :: Eq a => a -> IntMap a -> Bool # maximum :: Ord a => IntMap a -> a # minimum :: Ord a => IntMap a -> a # | |
| Traversable IntMap | |
| ToJSON1 IntMap | |
Defined in Data.Aeson.Types.ToJSON Methods liftToJSON :: (a -> Value) -> ([a] -> Value) -> IntMap a -> Value # liftToJSONList :: (a -> Value) -> ([a] -> Value) -> [IntMap a] -> Value # liftToEncoding :: (a -> Encoding) -> ([a] -> Encoding) -> IntMap a -> Encoding # liftToEncodingList :: (a -> Encoding) -> ([a] -> Encoding) -> [IntMap a] -> Encoding # | |
| FromJSON1 IntMap | |
| Eq1 IntMap | Since: containers-0.5.9 |
| Ord1 IntMap | Since: containers-0.5.9 |
Defined in Data.IntMap.Internal | |
| Read1 IntMap | Since: containers-0.5.9 |
Defined in Data.IntMap.Internal | |
| Show1 IntMap | Since: containers-0.5.9 |
| Compactable IntMap | |
Defined in Control.Compactable Methods compact :: IntMap (Maybe a) -> IntMap a # separate :: IntMap (Either l r) -> (IntMap l, IntMap r) # filter :: (a -> Bool) -> IntMap a -> IntMap a # partition :: (a -> Bool) -> IntMap a -> (IntMap a, IntMap a) # fmapMaybe :: Functor IntMap => (a -> Maybe b) -> IntMap a -> IntMap b # fmapEither :: Functor IntMap => (a -> Either l r) -> IntMap a -> (IntMap l, IntMap r) # applyMaybe :: Applicative IntMap => IntMap (a -> Maybe b) -> IntMap a -> IntMap b # applyEither :: Applicative IntMap => IntMap (a -> Either l r) -> IntMap a -> (IntMap l, IntMap r) # bindMaybe :: Monad IntMap => IntMap a -> (a -> IntMap (Maybe b)) -> IntMap b # bindEither :: Monad IntMap => IntMap a -> (a -> IntMap (Either l r)) -> (IntMap l, IntMap r) # traverseMaybe :: (Applicative g, Traversable IntMap) => (a -> g (Maybe b)) -> IntMap a -> g (IntMap b) # traverseEither :: (Applicative g, Traversable IntMap) => (a -> g (Either l r)) -> IntMap a -> g (IntMap l, IntMap r) # | |
| Apply IntMap | An IntMap is not |
| Plus IntMap | |
Defined in Data.Functor.Plus | |
| Alt IntMap | |
| Bind IntMap | |
| TraverseMin Int IntMap | |
Defined in Control.Lens.Traversal Methods traverseMin :: (Indexable Int p, Applicative f) => p v (f v) -> IntMap v -> f (IntMap v) # | |
| TraverseMax Int IntMap | |
Defined in Control.Lens.Traversal Methods traverseMax :: (Indexable Int p, Applicative f) => p v (f v) -> IntMap v -> f (IntMap v) # | |
| IsList (IntMap a) | Since: containers-0.5.6.2 |
| Eq a => Eq (IntMap a) | |
| Data a => Data (IntMap a) | |
Defined in Data.IntMap.Internal Methods gfoldl :: (forall d b. Data d => c (d -> b) -> d -> c b) -> (forall g. g -> c g) -> IntMap a -> c (IntMap a) # gunfold :: (forall b r. Data b => c (b -> r) -> c r) -> (forall r. r -> c r) -> Constr -> c (IntMap a) # toConstr :: IntMap a -> Constr # dataTypeOf :: IntMap a -> DataType # dataCast1 :: Typeable t => (forall d. Data d => c (t d)) -> Maybe (c (IntMap a)) # dataCast2 :: Typeable t => (forall d e. (Data d, Data e) => c (t d e)) -> Maybe (c (IntMap a)) # gmapT :: (forall b. Data b => b -> b) -> IntMap a -> IntMap a # gmapQl :: (r -> r' -> r) -> r -> (forall d. Data d => d -> r') -> IntMap a -> r # gmapQr :: (r' -> r -> r) -> r -> (forall d. Data d => d -> r') -> IntMap a -> r # gmapQ :: (forall d. Data d => d -> u) -> IntMap a -> [u] # gmapQi :: Int -> (forall d. Data d => d -> u) -> IntMap a -> u # gmapM :: Monad m => (forall d. Data d => d -> m d) -> IntMap a -> m (IntMap a) # gmapMp :: MonadPlus m => (forall d. Data d => d -> m d) -> IntMap a -> m (IntMap a) # gmapMo :: MonadPlus m => (forall d. Data d => d -> m d) -> IntMap a -> m (IntMap a) # | |
| Ord a => Ord (IntMap a) | |
Defined in Data.IntMap.Internal | |
| Read e => Read (IntMap e) | |
| Show a => Show (IntMap a) | |
| Semigroup (IntMap a) | Since: containers-0.5.7 |
| Monoid (IntMap a) | |
| ToJSON a => ToJSON (IntMap a) | |
Defined in Data.Aeson.Types.ToJSON | |
| FromJSON a => FromJSON (IntMap a) | |
| NFData a => NFData (IntMap a) | |
Defined in Data.IntMap.Internal | |
| Ixed (IntMap a) | |
Defined in Control.Lens.At | |
| At (IntMap a) | |
| Wrapped (IntMap a) | |
| AsEmpty (IntMap a) | |
Defined in Control.Lens.Empty | |
| Meet a => Meet (IntMap a) | IntMap union with Idempotence: x /\ x == (x :: IntMap (Set Char)) Associativity: a /\ (b /\ c) == (a /\ b) /\ (c :: IntMap (Set Char)) Commutativity: a /\ b == b /\ (a :: IntMap (Set Char)) Absorption: lowerBound /\ a == (lowerBound :: IntMap (Set Char)) |
| Join a => Join (IntMap a) | IntMap union with Idempotence: x \/ x == (x :: IntMap (Set Char)) Associativity: a \/ (b \/ c) == (a \/ b) \/ (c :: IntMap (Set Char)) Commutativity: a \/ b == b \/ (a :: IntMap (Set Char)) Identity: lowerBound \/ a == (a :: IntMap (Set Char)) |
| Lower (IntMap a) | |
Defined in Data.Semilattice.Lower Methods lowerBound :: IntMap a # | |
| Serialise a => Serialise (IntMap a) | Since: serialise-0.2.0.0 |
| t ~ IntMap a' => Rewrapped (IntMap a) t | Use |
Defined in Control.Lens.Wrapped | |
| Each (IntMap a) (IntMap b) a b |
|
| type Item (IntMap a) | |
Defined in Data.IntMap.Internal | |
| type Index (IntMap a) | |
Defined in Control.Lens.At | |
| type IxValue (IntMap a) | |
Defined in Control.Lens.At | |
| type Unwrapped (IntMap a) | |
Defined in Control.Lens.Wrapped | |
Maybe
The Maybe type encapsulates an optional value. A value of type
Maybe aa (represented as Just aNothing). Using Maybe is a good way to
deal with errors or exceptional cases without resorting to drastic
measures such as error.
The Maybe type is also a monad. It is a simple kind of error
monad, where all errors are represented by Nothing. A richer
error monad can be built using the Either type.
Instances
| Monad Maybe | Since: base-2.1 |
| Functor Maybe | Since: base-2.1 |
| MonadFix Maybe | Since: base-2.1 |
Defined in Control.Monad.Fix | |
| MonadFail Maybe | Since: base-4.9.0.0 |
Defined in Control.Monad.Fail | |
| Applicative Maybe | Since: base-2.1 |
| Foldable Maybe | Since: base-2.1 |
Defined in Data.Foldable Methods fold :: Monoid m => Maybe m -> m # foldMap :: Monoid m => (a -> m) -> Maybe a -> m # foldr :: (a -> b -> b) -> b -> Maybe a -> b # foldr' :: (a -> b -> b) -> b -> Maybe a -> b # foldl :: (b -> a -> b) -> b -> Maybe a -> b # foldl' :: (b -> a -> b) -> b -> Maybe a -> b # foldr1 :: (a -> a -> a) -> Maybe a -> a # foldl1 :: (a -> a -> a) -> Maybe a -> a # elem :: Eq a => a -> Maybe a -> Bool # maximum :: Ord a => Maybe a -> a # minimum :: Ord a => Maybe a -> a # | |
| Traversable Maybe | Since: base-2.1 |
| Alternative Maybe | Since: base-2.1 |
| ToJSON1 Maybe | |
Defined in Data.Aeson.Types.ToJSON Methods liftToJSON :: (a -> Value) -> ([a] -> Value) -> Maybe a -> Value # liftToJSONList :: (a -> Value) -> ([a] -> Value) -> [Maybe a] -> Value # liftToEncoding :: (a -> Encoding) -> ([a] -> Encoding) -> Maybe a -> Encoding # liftToEncodingList :: (a -> Encoding) -> ([a] -> Encoding) -> [Maybe a] -> Encoding # | |
| FromJSON1 Maybe | |
| MonadPlus Maybe | Since: base-2.1 |
| Eq1 Maybe | Since: base-4.9.0.0 |
| Ord1 Maybe | Since: base-4.9.0.0 |
Defined in Data.Functor.Classes | |
| Read1 Maybe | Since: base-4.9.0.0 |
Defined in Data.Functor.Classes | |
| Show1 Maybe | Since: base-4.9.0.0 |
| MonadZip Maybe | Since: base-4.8.0.0 |
| Compactable Maybe | |
Defined in Control.Compactable Methods compact :: Maybe (Maybe a) -> Maybe a # separate :: Maybe (Either l r) -> (Maybe l, Maybe r) # filter :: (a -> Bool) -> Maybe a -> Maybe a # partition :: (a -> Bool) -> Maybe a -> (Maybe a, Maybe a) # fmapMaybe :: Functor Maybe => (a -> Maybe b) -> Maybe a -> Maybe b # fmapEither :: Functor Maybe => (a -> Either l r) -> Maybe a -> (Maybe l, Maybe r) # applyMaybe :: Applicative Maybe => Maybe (a -> Maybe b) -> Maybe a -> Maybe b # applyEither :: Applicative Maybe => Maybe (a -> Either l r) -> Maybe a -> (Maybe l, Maybe r) # bindMaybe :: Monad Maybe => Maybe a -> (a -> Maybe (Maybe b)) -> Maybe b # bindEither :: Monad Maybe => Maybe a -> (a -> Maybe (Either l r)) -> (Maybe l, Maybe r) # traverseMaybe :: (Applicative g, Traversable Maybe) => (a -> g (Maybe b)) -> Maybe a -> g (Maybe b) # traverseEither :: (Applicative g, Traversable Maybe) => (a -> g (Either l r)) -> Maybe a -> g (Maybe l, Maybe r) # | |
| CompactFold Maybe | |
Defined in Control.Compactable Methods compactFold :: Foldable g => Maybe (g a) -> Maybe a # separateFold :: Bifoldable g => Maybe (g a b) -> (Maybe a, Maybe b) # fmapFold :: (Functor Maybe, Foldable g) => (a -> g b) -> Maybe a -> Maybe b # fmapBifold :: (Functor Maybe, Bifoldable g) => (a -> g l r) -> Maybe a -> (Maybe l, Maybe r) # applyFold :: (Applicative Maybe, Foldable g) => Maybe (a -> g b) -> Maybe a -> Maybe b # applyBifold :: (Applicative Maybe, Bifoldable g) => Maybe (a -> g l r) -> Maybe a -> (Maybe l, Maybe r) # bindFold :: (Monad Maybe, Foldable g) => Maybe a -> (a -> Maybe (g b)) -> Maybe b # bindBifold :: (Monad Maybe, Bifoldable g) => Maybe a -> (a -> Maybe (g l r)) -> (Maybe l, Maybe r) # traverseFold :: (Applicative h, Foldable g, Traversable Maybe) => (a -> h (g b)) -> Maybe a -> h (Maybe b) # traverseBifold :: (Applicative h, Bifoldable g, Traversable Maybe) => (a -> h (g l r)) -> Maybe a -> h (Maybe l, Maybe r) # | |
| NFData1 Maybe | Since: deepseq-1.4.3.0 |
Defined in Control.DeepSeq | |
| MonadThrow Maybe | |
Defined in Control.Monad.Catch | |
| Hashable1 Maybe | |
Defined in Data.Hashable.Class | |
| Apply Maybe | |
| Pointed Maybe | |
Defined in Data.Pointed | |
| Plus Maybe | |
Defined in Data.Functor.Plus | |
| Alt Maybe | |
| Bind Maybe | |
| Extend Maybe | |
| MonadError () Maybe | Since: mtl-2.2.2 |
Defined in Control.Monad.Error.Class | |
| MonadBase Maybe Maybe | |
Defined in Control.Monad.Base | |
| (Selector s, GToJSON enc arity (K1 i (Maybe a) :: * -> *), KeyValuePair enc pairs, Monoid pairs) => RecordToPairs enc pairs arity (S1 s (K1 i (Maybe a) :: * -> *)) | |
Defined in Data.Aeson.Types.ToJSON | |
| () :=> (Functor Maybe) | |
| () :=> (Applicative Maybe) | |
Defined in Data.Constraint Methods ins :: () :- Applicative Maybe # | |
| () :=> (Alternative Maybe) | |
Defined in Data.Constraint Methods ins :: () :- Alternative Maybe # | |
| () :=> (MonadPlus Maybe) | |
| (Selector s, FromJSON a) => FromRecord arity (S1 s (K1 i (Maybe a) :: * -> *)) | |
Defined in Data.Aeson.Types.FromJSON | |
| Eq a => Eq (Maybe a) | |
| Data a => Data (Maybe a) | Since: base-4.0.0.0 |
Defined in Data.Data Methods gfoldl :: (forall d b. Data d => c (d -> b) -> d -> c b) -> (forall g. g -> c g) -> Maybe a -> c (Maybe a) # gunfold :: (forall b r. Data b => c (b -> r) -> c r) -> (forall r. r -> c r) -> Constr -> c (Maybe a) # toConstr :: Maybe a -> Constr # dataTypeOf :: Maybe a -> DataType # dataCast1 :: Typeable t => (forall d. Data d => c (t d)) -> Maybe (c (Maybe a)) # dataCast2 :: Typeable t => (forall d e. (Data d, Data e) => c (t d e)) -> Maybe (c (Maybe a)) # gmapT :: (forall b. Data b => b -> b) -> Maybe a -> Maybe a # gmapQl :: (r -> r' -> r) -> r -> (forall d. Data d => d -> r') -> Maybe a -> r # gmapQr :: (r' -> r -> r) -> r -> (forall d. Data d => d -> r') -> Maybe a -> r # gmapQ :: (forall d. Data d => d -> u) -> Maybe a -> [u] # gmapQi :: Int -> (forall d. Data d => d -> u) -> Maybe a -> u # gmapM :: Monad m => (forall d. Data d => d -> m d) -> Maybe a -> m (Maybe a) # gmapMp :: MonadPlus m => (forall d. Data d => d -> m d) -> Maybe a -> m (Maybe a) # gmapMo :: MonadPlus m => (forall d. Data d => d -> m d) -> Maybe a -> m (Maybe a) # | |
| Ord a => Ord (Maybe a) | |
| Read a => Read (Maybe a) | Since: base-2.1 |
| Show a => Show (Maybe a) | |
| Generic (Maybe a) | |
| Semigroup a => Semigroup (Maybe a) | Since: base-4.9.0.0 |
| Semigroup a => Monoid (Maybe a) | Lift a semigroup into Since 4.11.0: constraint on inner Since: base-2.1 |
| Lift a => Lift (Maybe a) | |
| Hashable a => Hashable (Maybe a) | |
Defined in Data.Hashable.Class | |
| ToJSON a => ToJSON (Maybe a) | |
Defined in Data.Aeson.Types.ToJSON | |
| FromJSON a => FromJSON (Maybe a) | |
| SingKind a => SingKind (Maybe a) | Since: base-4.9.0.0 |
Defined in GHC.Generics | |
| NFData a => NFData (Maybe a) | |
Defined in Control.DeepSeq | |
| Ixed (Maybe a) | |
Defined in Control.Lens.At | |
| At (Maybe a) | |
| AsEmpty (Maybe a) | |
Defined in Control.Lens.Empty | |
| Pretty a => Pretty (Maybe a) | Ignore
|
Defined in Data.Text.Prettyprint.Doc.Internal | |
| Lower (Maybe a) | |
Defined in Data.Semilattice.Lower Methods lowerBound :: Maybe a # | |
| Serialise a => Serialise (Maybe a) | Since: serialise-0.2.0.0 |
| Generic1 Maybe | |
| SingI (Nothing :: Maybe a) | Since: base-4.9.0.0 |
Defined in GHC.Generics | |
| (Eq a) :=> (Eq (Maybe a)) | |
| (Ord a) :=> (Ord (Maybe a)) | |
| (Read a) :=> (Read (Maybe a)) | |
| (Show a) :=> (Show (Maybe a)) | |
| (Semigroup a) :=> (Semigroup (Maybe a)) | |
| (Monoid a) :=> (Monoid (Maybe a)) | |
| Each (Maybe a) (Maybe b) a b |
|
| SingI a2 => SingI (Just a2 :: Maybe a1) | Since: base-4.9.0.0 |
Defined in GHC.Generics | |
| (Selector c, ToJSON a) => GtoJson (M1 S c (K1 i (Maybe a) :: * -> *)) | |
| (Selector c, FromJSON a) => GfromJson (M1 S c (K1 i (Maybe a) :: * -> *)) | |
| type Rep (Maybe a) | |
| data Sing (b :: Maybe a) | |
| type DemoteRep (Maybe a) | |
Defined in GHC.Generics | |
| type Index (Maybe a) | |
Defined in Control.Lens.At | |
| type IxValue (Maybe a) | |
Defined in Control.Lens.At | |
| type Rep1 Maybe | |
maybe :: b -> (a -> b) -> Maybe a -> b #
The maybe function takes a default value, a function, and a Maybe
value. If the Maybe value is Nothing, the function returns the
default value. Otherwise, it applies the function to the value inside
the Just and returns the result.
Examples
Basic usage:
>>>maybe False odd (Just 3)True
>>>maybe False odd NothingFalse
Read an integer from a string using readMaybe. If we succeed,
return twice the integer; that is, apply (*2) to it. If instead
we fail to parse an integer, return 0 by default:
>>>import Text.Read ( readMaybe )>>>maybe 0 (*2) (readMaybe "5")10>>>maybe 0 (*2) (readMaybe "")0
Apply show to a Maybe Int. If we have Just n, we want to show
the underlying Int n. But if we have Nothing, we return the
empty string instead of (for example) "Nothing":
>>>maybe "" show (Just 5)"5">>>maybe "" show Nothing""
fromMaybe :: a -> Maybe a -> a #
The fromMaybe function takes a default value and and Maybe
value. If the Maybe is Nothing, it returns the default values;
otherwise, it returns the value contained in the Maybe.
Examples
Basic usage:
>>>fromMaybe "" (Just "Hello, World!")"Hello, World!"
>>>fromMaybe "" Nothing""
Read an integer from a string using readMaybe. If we fail to
parse an integer, we want to return 0 by default:
>>>import Text.Read ( readMaybe )>>>fromMaybe 0 (readMaybe "5")5>>>fromMaybe 0 (readMaybe "")0
catMaybes :: [Maybe a] -> [a] #
The catMaybes function takes a list of Maybes and returns
a list of all the Just values.
Examples
Basic usage:
>>>catMaybes [Just 1, Nothing, Just 3][1,3]
When constructing a list of Maybe values, catMaybes can be used
to return all of the "success" results (if the list is the result
of a map, then mapMaybe would be more appropriate):
>>>import Text.Read ( readMaybe )>>>[readMaybe x :: Maybe Int | x <- ["1", "Foo", "3"] ][Just 1,Nothing,Just 3]>>>catMaybes $ [readMaybe x :: Maybe Int | x <- ["1", "Foo", "3"] ][1,3]
mapMaybe :: (a -> Maybe b) -> [a] -> [b] #
The mapMaybe function is a version of map which can throw
out elements. In particular, the functional argument returns
something of type Maybe bNothing, no element
is added on to the result list. If it is Just bb is
included in the result list.
Examples
Using mapMaybe f xcatMaybes $ map f x
>>>import Text.Read ( readMaybe )>>>let readMaybeInt = readMaybe :: String -> Maybe Int>>>mapMaybe readMaybeInt ["1", "Foo", "3"][1,3]>>>catMaybes $ map readMaybeInt ["1", "Foo", "3"][1,3]
If we map the Just constructor, the entire list should be returned:
>>>mapMaybe Just [1,2,3][1,2,3]
_Just :: (Choice p, Applicative f) => p a (f b) -> p (Maybe a) (f (Maybe b)) #
This Prism provides a Traversal for tweaking the target of the value of Just in a Maybe.
>>>over _Just (+1) (Just 2)Just 3
Unlike traverse this is a Prism, and so you can use it to inject as well:
>>>_Just # 5Just 5
>>>5^.re _JustJust 5
Interestingly,
m^?_Just≡ m
>>>Just x ^? _JustJust x
>>>Nothing ^? _JustNothing
Monad
class Applicative m => Monad (m :: * -> *) where #
The Monad class defines the basic operations over a monad,
a concept from a branch of mathematics known as category theory.
From the perspective of a Haskell programmer, however, it is best to
think of a monad as an abstract datatype of actions.
Haskell's do expressions provide a convenient syntax for writing
monadic expressions.
Instances of Monad should satisfy the following laws:
Furthermore, the Monad and Applicative operations should relate as follows:
The above laws imply:
and that pure and (<*>) satisfy the applicative functor laws.
The instances of Monad for lists, Maybe and IO
defined in the Prelude satisfy these laws.
Minimal complete definition
Methods
(>>=) :: m a -> (a -> m b) -> m b infixl 1 #
Sequentially compose two actions, passing any value produced by the first as an argument to the second.
Instances
| Monad [] | Since: base-2.1 |
| Monad Maybe | Since: base-2.1 |
| Monad IO | Since: base-2.1 |
| Monad Par1 | Since: base-4.9.0.0 |
| Monad Q | |
| Monad IResult | |
| Monad Result | |
| Monad Parser | |
| Monad Complex | Since: base-4.9.0.0 |
| Monad Min | Since: base-4.9.0.0 |
| Monad Max | Since: base-4.9.0.0 |
| Monad First | Since: base-4.9.0.0 |
| Monad Last | Since: base-4.9.0.0 |
| Monad Option | Since: base-4.9.0.0 |
| Monad Identity | Since: base-4.8.0.0 |
| Monad STM | Since: base-4.3.0.0 |
| Monad First | |
| Monad Last | |
| Monad Dual | Since: base-4.8.0.0 |
| Monad Sum | Since: base-4.8.0.0 |
| Monad Product | Since: base-4.8.0.0 |
| Monad Down | Since: base-4.11.0.0 |
| Monad ReadPrec | Since: base-2.1 |
| Monad ReadP | Since: base-2.1 |
| Monad NonEmpty | Since: base-4.9.0.0 |
| Monad Put | |
| Monad Tree | |
| Monad Seq | |
| Monad DList | |
| Monad Eval | |
| Monad Vector | |
| Monad Log | |
| Monad Managed | |
| Monad ReadM | |
| Monad ParserM | |
| Monad ParserResult | |
Defined in Options.Applicative.Types Methods (>>=) :: ParserResult a -> (a -> ParserResult b) -> ParserResult b # (>>) :: ParserResult a -> ParserResult b -> ParserResult b # return :: a -> ParserResult a # fail :: String -> ParserResult a # | |
| Monad SmallArray | |
Defined in Data.Primitive.SmallArray Methods (>>=) :: SmallArray a -> (a -> SmallArray b) -> SmallArray b # (>>) :: SmallArray a -> SmallArray b -> SmallArray b # return :: a -> SmallArray a # fail :: String -> SmallArray a # | |
| Monad Array | |
| Monad Future | |
| Monad Moment | |
| Monad MomentIO | |
| Monad Element | |
| Monad Memoized | |
| Monad P | Since: base-2.1 |
| () :=> (Monad ((->) a :: * -> *)) | |
Defined in Data.Constraint | |
| () :=> (Monad []) | |
Defined in Data.Constraint | |
| () :=> (Monad IO) | |
| () :=> (Monad (Either a)) | |
| () :=> (Monad Identity) | |
| Monad (Either e) | Since: base-4.4.0.0 |
| Monad (U1 :: * -> *) | Since: base-4.9.0.0 |
| Monoid a => Monad ((,) a) | Since: base-4.9.0.0 |
| Monad (ST s) | Since: base-2.1 |
| Monad (Results s) | |
| Monad (Grammar r) | |
| Representable f => Monad (Co f) | |
| Monad m => Monad (WrappedMonad m) | |
Defined in Control.Applicative Methods (>>=) :: WrappedMonad m a -> (a -> WrappedMonad m b) -> WrappedMonad m b # (>>) :: WrappedMonad m a -> WrappedMonad m b -> WrappedMonad m b # return :: a -> WrappedMonad m a # fail :: String -> WrappedMonad m a # | |
| ArrowApply a => Monad (ArrowMonad a) | Since: base-2.1 |
Defined in Control.Arrow Methods (>>=) :: ArrowMonad a a0 -> (a0 -> ArrowMonad a b) -> ArrowMonad a b # (>>) :: ArrowMonad a a0 -> ArrowMonad a b -> ArrowMonad a b # return :: a0 -> ArrowMonad a a0 # fail :: String -> ArrowMonad a a0 # | |
| Monad (Proxy :: * -> *) | Since: base-4.7.0.0 |
| Monad m => Monad (MaybeT m) | |
| Alternative f => Monad (Cofree f) | |
| Functor f => Monad (Free f) | |
| Monad m => Monad (Yoneda m) | |
| Monad (ReifiedGetter s) | |
Defined in Control.Lens.Reified Methods (>>=) :: ReifiedGetter s a -> (a -> ReifiedGetter s b) -> ReifiedGetter s b # (>>) :: ReifiedGetter s a -> ReifiedGetter s b -> ReifiedGetter s b # return :: a -> ReifiedGetter s a # fail :: String -> ReifiedGetter s a # | |
| Monad (ReifiedFold s) | |
Defined in Control.Lens.Reified Methods (>>=) :: ReifiedFold s a -> (a -> ReifiedFold s b) -> ReifiedFold s b # (>>) :: ReifiedFold s a -> ReifiedFold s b -> ReifiedFold s b # return :: a -> ReifiedFold s a # fail :: String -> ReifiedFold s a # | |
| Monad m => Monad (ListT m) | |
| Monad (LogicT m) | |
| (Monad (Rep p), Representable p) => Monad (Prep p) | |
| Monad (IParser t) | |
| Monad (SetM s) | |
| Monad (IncrementalDecoder s) | |
| Class (Applicative f) (Monad f) | |
Defined in Data.Constraint Methods cls :: Monad f :- Applicative f # | |
| (Monad m) :=> (Functor (WrappedMonad m)) | |
Defined in Data.Constraint | |
| (Monad m) :=> (Applicative (WrappedMonad m)) | |
Defined in Data.Constraint Methods ins :: Monad m :- Applicative (WrappedMonad m) # | |
| Monad f => Monad (Rec1 f) | Since: base-4.9.0.0 |
| Monad (Results t s) | |
| Monad f => Monad (Alt f) | |
| Monad m => Monad (IdentityT m) | |
| (Applicative f, Monad f) => Monad (WhenMissing f x) | Equivalent to Since: containers-0.5.9 |
Defined in Data.IntMap.Internal Methods (>>=) :: WhenMissing f x a -> (a -> WhenMissing f x b) -> WhenMissing f x b # (>>) :: WhenMissing f x a -> WhenMissing f x b -> WhenMissing f x b # return :: a -> WhenMissing f x a # fail :: String -> WhenMissing f x a # | |
| Monad m => Monad (ExceptT e m) | |
| Monad m => Monad (GT m g) | |
| (Functor f, Monad m) => Monad (FreeT f m) | |
| (Alternative f, Monad w) => Monad (CofreeT f w) | |
| (Monad m, Error e) => Monad (ErrorT e m) | |
| Monad (Indexed i a) | |
| Monad m => Monad (StateT s m) | |
| Monad (STE e s) | |
| Monad m => Monad (StateT s m) | |
| Monad f => Monad (Star f a) | |
| Monad (Costar f a) | |
| Monad (Tagged s) | |
| Monad m => Monad (WriterT w m) | |
| Class (Monad f, Alternative f) (MonadPlus f) | |
Defined in Data.Constraint | |
| Monad ((->) r :: * -> *) | Since: base-2.1 |
| (Monad f, Monad g) => Monad (f :*: g) | Since: base-4.9.0.0 |
| (Monad f, Monad g) => Monad (Product f g) | Since: base-4.9.0.0 |
| Monad (Cokleisli w a) | |
| (Monad f, Applicative f) => Monad (WhenMatched f x y) | Equivalent to Since: containers-0.5.9 |
Defined in Data.IntMap.Internal Methods (>>=) :: WhenMatched f x y a -> (a -> WhenMatched f x y b) -> WhenMatched f x y b # (>>) :: WhenMatched f x y a -> WhenMatched f x y b -> WhenMatched f x y b # return :: a -> WhenMatched f x y a # fail :: String -> WhenMatched f x y a # | |
| (Applicative f, Monad f) => Monad (WhenMissing f k x) | Equivalent to Since: containers-0.5.9 |
Defined in Data.Map.Internal Methods (>>=) :: WhenMissing f k x a -> (a -> WhenMissing f k x b) -> WhenMissing f k x b # (>>) :: WhenMissing f k x a -> WhenMissing f k x b -> WhenMissing f k x b # return :: a -> WhenMissing f k x a # fail :: String -> WhenMissing f k x a # | |
| Monad m => Monad (ReaderT r m) | |
| Stream s => Monad (ParsecT e s m) |
|
| Monad (ContT r m) | |
| Monad f => Monad (M1 i c f) | Since: base-4.9.0.0 |
| (Monad f, Applicative f) => Monad (WhenMatched f k x y) | Equivalent to Since: containers-0.5.9 |
Defined in Data.Map.Internal Methods (>>=) :: WhenMatched f k x y a -> (a -> WhenMatched f k x y b) -> WhenMatched f k x y b # (>>) :: WhenMatched f k x y a -> WhenMatched f k x y b -> WhenMatched f k x y b # return :: a -> WhenMatched f k x y a # fail :: String -> WhenMatched f k x y a # | |
(=<<) :: Monad m => (a -> m b) -> m a -> m b infixr 1 #
Same as >>=, but with the arguments interchanged.
(>=>) :: Monad m => (a -> m b) -> (b -> m c) -> a -> m c infixr 1 #
Left-to-right Kleisli composition of monads.
whenJustM :: Monad m => m (Maybe a) -> (a -> m ()) -> m () #
Like whenJust, but where the test can be monadic.
Monad.Trans
class MonadTrans (t :: (* -> *) -> * -> *) where #
The class of monad transformers. Instances should satisfy the
following laws, which state that lift is a monad transformation:
Minimal complete definition
Methods
lift :: Monad m => m a -> t m a #
Lift a computation from the argument monad to the constructed monad.
Instances
Monoid
class Semigroup a => Monoid a #
The class of monoids (types with an associative binary operation that has an identity). Instances should satisfy the following laws:
x
<>mempty= xmempty<>x = xx(<>(y<>z) = (x<>y)<>zSemigrouplaw)mconcat=foldr'(<>)'mempty
The method names refer to the monoid of lists under concatenation, but there are many other instances.
Some types can be viewed as a monoid in more than one way,
e.g. both addition and multiplication on numbers.
In such cases we often define newtypes and make those instances
of Monoid, e.g. Sum and Product.
NOTE: Semigroup is a superclass of Monoid since base-4.11.0.0.
Minimal complete definition
Instances
mconcat :: Monoid a => [a] -> a #
Fold a list using the monoid.
For most types, the default definition for mconcat will be
used, but the function is included in the class definition so
that an optimized version can be provided for specific types.
Num.Double
Double-precision floating point numbers. It is desirable that this type be at least equal in range and precision to the IEEE double-precision type.
Instances
Num.Float
Single-precision floating point numbers. It is desirable that this type be at least equal in range and precision to the IEEE single-precision type.
Instances
Num.Floating
class Fractional a => Floating a where #
Trigonometric and hyperbolic functions and related functions.
Minimal complete definition
pi, exp, log, sin, cos, asin, acos, atan, sinh, cosh, asinh, acosh, atanh
Methods
(**) :: a -> a -> a infixr 8 #
log1p xlog (1 + x)x if possible.
Since: base-4.9.0.0
expm1 xexp x - 1x if possible.
Since: base-4.9.0.0
Instances
Num.Fractional
class Num a => Fractional a where #
Fractional numbers, supporting real division.
Minimal complete definition
fromRational, (recip | (/))
Methods
fractional division
reciprocal fraction
fromRational :: Rational -> a #
Conversion from a Rational (that is Ratio IntegerfromRational
to a value of type Rational, so such literals have type
(.Fractional a) => a
Instances
(^^) :: (Fractional a, Integral b) => a -> b -> a infixr 8 #
raise a number to an integral power
Num.Int
A fixed-precision integer type with at least the range [-2^29 .. 2^29-1].
The exact range for a given implementation can be determined by using
minBound and maxBound from the Bounded class.
Instances
8-bit signed integer type
Instances
16-bit signed integer type
Instances
32-bit signed integer type
Instances
64-bit signed integer type
Instances
Num.Integer
Invariant: Jn# and Jp# are used iff value doesn't fit in S#
Useful properties resulting from the invariants:
Instances
| Enum Integer | Since: base-2.1 |
| Eq Integer | |
| Integral Integer | Since: base-2.0.1 |
Defined in GHC.Real | |
| Data Integer | Since: base-4.0.0.0 |
Defined in Data.Data Methods gfoldl :: (forall d b. Data d => c (d -> b) -> d -> c b) -> (forall g. g -> c g) -> Integer -> c Integer # gunfold :: (forall b r. Data b => c (b -> r) -> c r) -> (forall r. r -> c r) -> Constr -> c Integer # toConstr :: Integer -> Constr # dataTypeOf :: Integer -> DataType # dataCast1 :: Typeable t => (forall d. Data d => c (t d)) -> Maybe (c Integer) # dataCast2 :: Typeable t => (forall d e. (Data d, Data e) => c (t d e)) -> Maybe (c Integer) # gmapT :: (forall b. Data b => b -> b) -> Integer -> Integer # gmapQl :: (r -> r' -> r) -> r -> (forall d. Data d => d -> r') -> Integer -> r # gmapQr :: (r' -> r -> r) -> r -> (forall d. Data d => d -> r') -> Integer -> r # gmapQ :: (forall d. Data d => d -> u) -> Integer -> [u] # gmapQi :: Int -> (forall d. Data d => d -> u) -> Integer -> u # gmapM :: Monad m => (forall d. Data d => d -> m d) -> Integer -> m Integer # gmapMp :: MonadPlus m => (forall d. Data d => d -> m d) -> Integer -> m Integer # gmapMo :: MonadPlus m => (forall d. Data d => d -> m d) -> Integer -> m Integer # | |
| Num Integer | Since: base-2.1 |
| Ord Integer | |
| Read Integer | Since: base-2.1 |
| Real Integer | Since: base-2.0.1 |
Defined in GHC.Real Methods toRational :: Integer -> Rational # | |
| Show Integer | Since: base-2.1 |
| Ix Integer | Since: base-2.1 |
Defined in GHC.Arr | |
| Lift Integer | |
| Hashable Integer | |
Defined in Data.Hashable.Class | |
| ToJSON Integer | |
Defined in Data.Aeson.Types.ToJSON | |
| ToJSONKey Integer | |
Defined in Data.Aeson.Types.ToJSON | |
| FromJSON Integer | This instance includes a bounds check to prevent maliciously
large inputs to fill up the memory of the target system. You can
newtype |
| FromJSONKey Integer | |
Defined in Data.Aeson.Types.FromJSON Methods | |
| PrintfArg Integer | Since: base-2.1 |
Defined in Text.Printf | |
| Bits Integer | Since: base-2.1 |
Defined in Data.Bits Methods (.&.) :: Integer -> Integer -> Integer # (.|.) :: Integer -> Integer -> Integer # xor :: Integer -> Integer -> Integer # complement :: Integer -> Integer # shift :: Integer -> Int -> Integer # rotate :: Integer -> Int -> Integer # setBit :: Integer -> Int -> Integer # clearBit :: Integer -> Int -> Integer # complementBit :: Integer -> Int -> Integer # testBit :: Integer -> Int -> Bool # bitSizeMaybe :: Integer -> Maybe Int # shiftL :: Integer -> Int -> Integer # unsafeShiftL :: Integer -> Int -> Integer # shiftR :: Integer -> Int -> Integer # unsafeShiftR :: Integer -> Int -> Integer # rotateL :: Integer -> Int -> Integer # | |
| NFData Integer | |
Defined in Control.DeepSeq | |
| Pretty Integer |
|
Defined in Data.Text.Prettyprint.Doc.Internal | |
| Serialise Integer | Since: serialise-0.2.0.0 |
| HasTypes Integer a | |
Defined in Data.Generics.Product.Types Methods types_ :: Traversal' Integer a | |
| KnownNat n => Reifies (n :: Nat) Integer | |
Defined in Data.Reflection | |
| () :=> (Enum Integer) | |
| () :=> (Eq Integer) | |
| () :=> (Integral Integer) | |
| () :=> (Num Integer) | |
| () :=> (Ord Integer) | |
| () :=> (Real Integer) | |
| () :=> (Bits Integer) | |
Num.Integral
class (Real a, Enum a) => Integral a where #
Integral numbers, supporting integer division.
Methods
quot :: a -> a -> a infixl 7 #
integer division truncated toward zero
integer remainder, satisfying
(x `quot` y)*y + (x `rem` y) == x
integer division truncated toward negative infinity
integer modulus, satisfying
(x `div` y)*y + (x `mod` y) == x
conversion to Integer
Instances
gcd :: Integral a => a -> a -> a #
gcd x yx and y of which
every common factor of x and y is also a factor; for example
gcd 4 2 = 2gcd (-4) 6 = 2gcd 0 44. gcd 0 00.
(That is, the common divisor that is "greatest" in the divisibility
preordering.)
Note: Since for signed fixed-width integer types, abs minBound < 0minBound0 or minBound
lcm :: Integral a => a -> a -> a #
lcm x yx and y divide.
fromIntegral :: (Integral a, Num b) => a -> b #
general coercion from integral types
Num.Nat
(Kind) This is the kind of type-level natural numbers.
Instances
| KnownNat n => Reifies (n :: Nat) Integer | |
Defined in Data.Reflection | |
| HasPosition i s t a b => HasAny (i :: Nat) s t a b | |
Defined in Data.Generics.Product.Any | |
This class gives the integer associated with a type-level natural. There are instances of the class for every concrete literal: 0, 1, 2, etc.
Since: base-4.7.0.0
Minimal complete definition
natSing
This type represents unknown type-level natural numbers.
Since: base-4.10.0.0
someNatVal :: Integer -> Maybe SomeNat #
Convert an integer into an unknown type-level natural.
Since: base-4.7.0.0
Num.Num
Basic numeric class.
Methods
Unary negation.
Absolute value.
Sign of a number.
The functions abs and signum should satisfy the law:
abs x * signum x == x
For real numbers, the signum is either -1 (negative), 0 (zero)
or 1 (positive).
fromInteger :: Integer -> a #
Conversion from an Integer.
An integer literal represents the application of the function
fromInteger to the appropriate value of type Integer,
so such literals have type (.Num a) => a
Instances
Num.Real
class (Num a, Ord a) => Real a where #
Minimal complete definition
Methods
toRational :: a -> Rational #
the rational equivalent of its real argument with full precision
Instances
divMod' :: (Real a, Integral b) => a -> a -> (b, a) #
generalisation of divMod to any instance of Real
realToFrac :: (Real a, Fractional b) => a -> b #
general coercion to fractional types
Num.RealFloat
class (RealFrac a, Floating a) => RealFloat a where #
Efficient, machine-independent access to the components of a floating-point number.
Minimal complete definition
floatRadix, floatDigits, floatRange, decodeFloat, encodeFloat, isNaN, isInfinite, isDenormalized, isNegativeZero, isIEEE
Methods
floatRadix :: a -> Integer #
a constant function, returning the radix of the representation
(often 2)
floatDigits :: a -> Int #
a constant function, returning the number of digits of
floatRadix in the significand
floatRange :: a -> (Int, Int) #
a constant function, returning the lowest and highest values the exponent may assume
decodeFloat :: a -> (Integer, Int) #
The function decodeFloat applied to a real floating-point
number returns the significand expressed as an Integer and an
appropriately scaled exponent (an Int). If decodeFloat x(m,n), then x is equal in value to m*b^^n, where b
is the floating-point radix, and furthermore, either m and n
are both zero or else b^(d-1) <= , where abs m < b^dd is
the value of floatDigits xdecodeFloat 0 = (0,0)decodeFloat (-0.0) = (0,0)decodeFloat xisNaN xisInfinite xTrue.
encodeFloat :: Integer -> Int -> a #
encodeFloat performs the inverse of decodeFloat in the
sense that for finite x with the exception of -0.0,
uncurry encodeFloat (decodeFloat x) = xencodeFloat m nm*b^^n (or ±Infinity if overflow
occurs); usually the closer, but if m contains too many bits,
the result may be rounded in the wrong direction.
exponent corresponds to the second component of decodeFloat.
exponent 0 = 0x,
exponent x = snd (decodeFloat x) + floatDigits xx is a finite floating-point number, it is equal in value to
significand x * b ^^ exponent xb is the
floating-point radix.
The behaviour is unspecified on infinite or NaN values.
significand :: a -> a #
The first component of decodeFloat, scaled to lie in the open
interval (-1,1), either 0.0 or of absolute value >= 1/b,
where b is the floating-point radix.
The behaviour is unspecified on infinite or NaN values.
scaleFloat :: Int -> a -> a #
multiplies a floating-point number by an integer power of the radix
True if the argument is an IEEE "not-a-number" (NaN) value
isInfinite :: a -> Bool #
True if the argument is an IEEE infinity or negative infinity
isDenormalized :: a -> Bool #
True if the argument is too small to be represented in
normalized format
isNegativeZero :: a -> Bool #
True if the argument is an IEEE negative zero
True if the argument is an IEEE floating point number
a version of arctangent taking two real floating-point arguments.
For real floating x and y, atan2 y x(x,y). atan2 y x-pi,
pi]. It follows the Common Lisp semantics for the origin when
signed zeroes are supported. atan2 y 1y in a type
that is RealFloat, should return the same value as atan yatan2 is provided, but implementors
can provide a more accurate implementation.
Instances
Num.RealFrac
class (Real a, Fractional a) => RealFrac a where #
Extracting components of fractions.
Minimal complete definition
Methods
properFraction :: Integral b => a -> (b, a) #
The function properFraction takes a real fractional number x
and returns a pair (n,f) such that x = n+f, and:
nis an integral number with the same sign asx; andfis a fraction with the same type and sign asx, and with absolute value less than1.
The default definitions of the ceiling, floor, truncate
and round functions are in terms of properFraction.
truncate :: Integral b => a -> b #
truncate xx between zero and x
round :: Integral b => a -> b #
round xx;
the even integer if x is equidistant between two integers
ceiling :: Integral b => a -> b #
ceiling xx
floor :: Integral b => a -> b #
floor xx
Instances
Num.Word
Instances
8-bit unsigned integer type
Instances
16-bit unsigned integer type
Instances
32-bit unsigned integer type
Instances
64-bit unsigned integer type
Instances
Optic.Fold
(^?) :: s -> Getting (First a) s a -> Maybe a infixl 8 #
Perform a safe head of a Fold or Traversal or retrieve Just the result
from a Getter or Lens.
When using a Traversal as a partial Lens, or a Fold as a partial Getter this can be a convenient
way to extract the optional value.
Note: if you get stack overflows due to this, you may want to use firstOf instead, which can deal
more gracefully with heavily left-biased trees.
>>>Left 4 ^?_LeftJust 4
>>>Right 4 ^?_LeftNothing
>>>"world" ^? ix 3Just 'l'
>>>"world" ^? ix 20Nothing
(^?) ≡flippreview
(^?) :: s ->Getters a ->Maybea (^?) :: s ->Folds a ->Maybea (^?) :: s ->Lens's a ->Maybea (^?) :: s ->Iso's a ->Maybea (^?) :: s ->Traversal's a ->Maybea
preview :: MonadReader s m => Getting (First a) s a -> m (Maybe a) #
Retrieve the first value targeted by a Fold or Traversal (or Just the result
from a Getter or Lens). See also (^?).
listToMaybe.toList≡previewfolded
This is usually applied in the Reader
Monad (->) s.
preview=view.pre
preview::Getters a -> s ->Maybeapreview::Folds a -> s ->Maybeapreview::Lens's a -> s ->Maybeapreview::Iso's a -> s ->Maybeapreview::Traversal's a -> s ->Maybea
However, it may be useful to think of its full generality when working with
a Monad transformer stack:
preview::MonadReaders m =>Getters a -> m (Maybea)preview::MonadReaders m =>Folds a -> m (Maybea)preview::MonadReaders m =>Lens's a -> m (Maybea)preview::MonadReaders m =>Iso's a -> m (Maybea)preview::MonadReaders m =>Traversal's a -> m (Maybea)
has :: Getting Any s a -> s -> Bool #
Check to see if this Fold or Traversal matches 1 or more entries.
>>>has (element 0) []False
>>>has _Left (Left 12)True
>>>has _Right (Left 12)False
This will always return True for a Lens or Getter.
>>>has _1 ("hello","world")True
has::Getters a -> s ->Boolhas::Folds a -> s ->Boolhas::Iso's a -> s ->Boolhas::Lens's a -> s ->Boolhas::Traversal's a -> s ->Bool
folded :: Foldable f => IndexedFold Int (f a) a #
Optic.Getting
(^.) :: s -> Getting a s a -> a infixl 8 #
View the value pointed to by a Getter or Lens or the
result of folding over all the results of a Fold or
Traversal that points at a monoidal values.
This is the same operation as view with the arguments flipped.
The fixity and semantics are such that subsequent field accesses can be
performed with (.).
>>>(a,b)^._2b
>>>("hello","world")^._2"world"
>>>import Data.Complex>>>((0, 1 :+ 2), 3)^._1._2.to magnitude2.23606797749979
(^.) :: s ->Getters a -> a (^.) ::Monoidm => s ->Folds m -> m (^.) :: s ->Iso's a -> a (^.) :: s ->Lens's a -> a (^.) ::Monoidm => s ->Traversal's m -> m
view :: MonadReader s m => Getting a s a -> m a #
View the value pointed to by a Getter, Iso or
Lens or the result of folding over all the results of a
Fold or Traversal that points
at a monoidal value.
view.to≡id
>>>view (to f) af a
>>>view _2 (1,"hello")"hello"
>>>view (to succ) 56
>>>view (_2._1) ("hello",("world","!!!"))"world"
As view is commonly used to access the target of a Getter or obtain a monoidal summary of the targets of a Fold,
It may be useful to think of it as having one of these more restricted signatures:
view::Getters a -> s -> aview::Monoidm =>Folds m -> s -> mview::Iso's a -> s -> aview::Lens's a -> s -> aview::Monoidm =>Traversal's m -> s -> m
In a more general setting, such as when working with a Monad transformer stack you can use:
view::MonadReaders m =>Getters a -> m aview:: (MonadReaders m,Monoida) =>Folds a -> m aview::MonadReaders m =>Iso's a -> m aview::MonadReaders m =>Lens's a -> m aview:: (MonadReaders m,Monoida) =>Traversal's a -> m a
Optic.Lens
type Lens s t a b = forall (f :: * -> *). Functor f => (a -> f b) -> s -> f t #
A Lens is actually a lens family as described in
http://comonad.com/reader/2012/mirrored-lenses/.
With great power comes great responsibility and a Lens is subject to the
three common sense Lens laws:
1) You get back what you put in:
viewl (setl v s) ≡ v
2) Putting back what you got doesn't change anything:
setl (viewl s) s ≡ s
3) Setting twice is the same as setting once:
setl v' (setl v s) ≡setl v' s
These laws are strong enough that the 4 type parameters of a Lens cannot
vary fully independently. For more on how they interact, read the "Why is
it a Lens Family?" section of
http://comonad.com/reader/2012/mirrored-lenses/.
There are some emergent properties of these laws:
1) set l ss This is a consequence of law #1
2) set lv from some s such that set s v = s
3) Given just the first two laws you can prove a weaker form of law #3 where the values v that you are setting match:
setl v (setl v s) ≡setl v s
Every Lens can be used directly as a Setter or Traversal.
You can also use a Lens for Getting as if it were a
Fold or Getter.
Since every Lens is a valid Traversal, the
Traversal laws are required of any Lens you create:
lpure≡purefmap(l f).l g ≡getCompose.l (Compose.fmapf.g)
typeLenss t a b = forall f.Functorf =>LensLikef s t a b
class HasAny (sel :: k) s t a b | s sel k -> a where #
Minimal complete definition
Methods
A lens that focuses on a part of a product as identified by some
selector. Currently supported selectors are field names, positions and
unique types. Compatible with the lens package's Lens
type.
>>>human ^. the @Int50
>>>human ^. the @"name""Tunyasz"
>>>human ^. the @3"London"
Instances
| HasPosition i s t a b => HasAny (i :: Nat) s t a b | |
Defined in Data.Generics.Product.Any | |
| HasField field s t a b => HasAny (field :: Symbol) s t a b | |
Defined in Data.Generics.Product.Any | |
| (HasType a s, t ~ s, a ~ b) => HasAny (a :: *) s t a b | |
Defined in Data.Generics.Product.Any | |
At provides a Lens that can be used to read,
write or delete the value associated with a key in a Map-like
container on an ad hoc basis.
An instance of At should satisfy:
ixk ≡atk.traverse
Minimal complete definition
Methods
Instances
| At IntSet | |
| At (Maybe a) | |
| At (IntMap a) | |
| Ord k => At (Set k) | |
| (Eq k, Hashable k) => At (HashSet k) | |
| (Eq k, Hashable k) => At (HashMap k a) | |
| Ord k => At (Map k a) | |
| (Eq k, Hashable k) => At (InsOrdHashMap k a) | |
Defined in Data.HashMap.Strict.InsOrd Methods at :: Index (InsOrdHashMap k a) -> Lens' (InsOrdHashMap k a) (Maybe (IxValue (InsOrdHashMap k a))) # | |
Optic.Prism
type Prism s t a b = forall (p :: * -> * -> *) (f :: * -> *). (Choice p, Applicative f) => p a (f b) -> p s (f t) #
A Prism l is a Traversal that can also be turned
around with re to obtain a Getter in the
opposite direction.
There are two laws that a Prism should satisfy:
First, if I re or review a value with a Prism and then preview or use (^?), I will get it back:
previewl (reviewl b) ≡Justb
Second, if you can extract a value a using a Prism l from a value s, then the value s is completely described by l and a:
If preview l s ≡ Just areview l a ≡ s
These two laws imply that the Traversal laws hold for every Prism and that we traverse at most 1 element:
lengthOfl x<=1
It may help to think of this as a Iso that can be partial in one direction.
Every Prism is a valid Traversal.
For example, you might have a Prism' Integer NaturalNatural to an Integer, and provide you with tools to check if an Integer is
a Natural and/or to edit one if it is.
nat::Prism'IntegerNaturalnat=prismtoInteger$\ i -> if i<0 thenLefti elseRight(fromIntegeri)
Now we can ask if an Integer is a Natural.
>>>5^?natJust 5
>>>(-5)^?natNothing
We can update the ones that are:
>>>(-3,4) & both.nat *~ 2(-3,8)
And we can then convert from a Natural to an Integer.
>>>5 ^. re nat -- :: Natural5
Similarly we can use a Prism to traverse the Left half of an Either:
>>>Left "hello" & _Left %~ lengthLeft 5
or to construct an Either:
>>>5^.re _LeftLeft 5
such that if you query it with the Prism, you will get your original input back.
>>>5^.re _Left ^? _LeftJust 5
Another interesting way to think of a Prism is as the categorical dual of a Lens
-- a co-Lens, so to speak. This is what permits the construction of outside.
Note: Composition with a Prism is index-preserving.
class AsAny (sel :: k) a s | s sel k -> a where #
Sums that have generic prisms.
Minimal complete definition
Methods
A prism that projects a sum as identified by some selector. Currently
supported selectors are constructor names and unique types. Compatible
with the lens package's Prism type.
>>>dog ^? _As @"Dog"Just (MkDog {name = "Shep", age = 3})
>>>dog ^? _As @DogJust (MkDog {name = "Shep", age = 3})
>>>dog ^? _As @"Cat"Nothing
>>>cat ^? _As @(Name, Age)Just ("Mog",5)
>>>cat ^? _As @"Cat"Just ("Mog",5)
>>>_As @"Cat" # ("Garfield", 6) :: AnimalCat "Garfield" 6
>>>duck ^? _As @AgeJust 2
Instances
| AsConstructor ctor s s a a => AsAny (ctor :: Symbol) a s | |
Defined in Data.Generics.Sum.Any | |
| AsType a s => AsAny (a :: *) a s | |
Defined in Data.Generics.Sum.Any | |
Optic.Setter
(.~) :: ASetter s t a b -> b -> s -> t infixr 4 #
Replace the target of a Lens or all of the targets of a Setter
or Traversal with a constant value.
This is an infix version of set, provided for consistency with (.=).
f<$a ≡mapped.~f$a
>>>(a,b,c,d) & _4 .~ e(a,b,c,e)
>>>(42,"world") & _1 .~ "hello"("hello","world")
>>>(a,b) & both .~ c(c,c)
(.~) ::Setters t a b -> b -> s -> t (.~) ::Isos t a b -> b -> s -> t (.~) ::Lenss t a b -> b -> s -> t (.~) ::Traversals t a b -> b -> s -> t
(%~) :: ASetter s t a b -> (a -> b) -> s -> t infixr 4 #
Modifies the target of a Lens or all of the targets of a Setter or
Traversal with a user supplied function.
This is an infix version of over.
fmapf ≡mapped%~ffmapDefaultf ≡traverse%~f
>>>(a,b,c) & _3 %~ f(a,b,f c)
>>>(a,b) & both %~ f(f a,f b)
>>>_2 %~ length $ (1,"hello")(1,5)
>>>traverse %~ f $ [a,b,c][f a,f b,f c]
>>>traverse %~ even $ [1,2,3][False,True,False]
>>>traverse.traverse %~ length $ [["hello","world"],["!!!"]][[5,5],[3]]
(%~) ::Setters t a b -> (a -> b) -> s -> t (%~) ::Isos t a b -> (a -> b) -> s -> t (%~) ::Lenss t a b -> (a -> b) -> s -> t (%~) ::Traversals t a b -> (a -> b) -> s -> t
over :: ASetter s t a b -> (a -> b) -> s -> t #
Modify the target of a Lens or all the targets of a Setter or Traversal
with a function.
fmap≡overmappedfmapDefault≡overtraversesets.over≡idover.sets≡id
Given any valid Setter l, you can also rely on the law:
overl f.overl g =overl (f.g)
e.g.
>>>over mapped f (over mapped g [a,b,c]) == over mapped (f . g) [a,b,c]True
Another way to view over is to say that it transforms a Setter into a
"semantic editor combinator".
>>>over mapped f (Just a)Just (f a)
>>>over mapped (*10) [1,2,3][10,20,30]
>>>over _1 f (a,b)(f a,b)
>>>over _1 show (10,20)("10",20)
over::Setters t a b -> (a -> b) -> s -> tover::ASetters t a b -> (a -> b) -> s -> t
set :: ASetter s t a b -> b -> s -> t #
Replace the target of a Lens or all of the targets of a Setter
or Traversal with a constant value.
(<$) ≡setmapped
>>>set _2 "hello" (1,())(1,"hello")
>>>set mapped () [1,2,3,4][(),(),(),()]
Note: Attempting to set a Fold or Getter will fail at compile time with an
relatively nice error message.
set::Setters t a b -> b -> s -> tset::Isos t a b -> b -> s -> tset::Lenss t a b -> b -> s -> tset::Traversals t a b -> b -> s -> t
Optic.Traversal
type Traversal s t a b = forall (f :: * -> *). Applicative f => (a -> f b) -> s -> f t #
A Traversal can be used directly as a Setter or a Fold (but not as a Lens) and provides
the ability to both read and update multiple fields, subject to some relatively weak Traversal laws.
These have also been known as multilenses, but they have the signature and spirit of
traverse::Traversablef =>Traversal(f a) (f b) a b
and the more evocative name suggests their application.
Most of the time the Traversal you will want to use is just traverse, but you can also pass any
Lens or Iso as a Traversal, and composition of a Traversal (or Lens or Iso) with a Traversal (or Lens or Iso)
using (.) forms a valid Traversal.
The laws for a Traversal t follow from the laws for Traversable as stated in "The Essence of the Iterator Pattern".
tpure≡purefmap(t f).t g ≡getCompose.t (Compose.fmapf.g)
One consequence of this requirement is that a Traversal needs to leave the same number of elements as a
candidate for subsequent Traversal that it started with. Another testament to the strength of these laws
is that the caveat expressed in section 5.5 of the "Essence of the Iterator Pattern" about exotic
Traversable instances that traverse the same entry multiple times was actually already ruled out by the
second law in that same paper!
type Traversal' s a = Traversal s s a a #
typeTraversal'=SimpleTraversal
Ord
The Ord class is used for totally ordered datatypes.
Instances of Ord can be derived for any user-defined
datatype whose constituent types are in Ord. The declared order
of the constructors in the data declaration determines the ordering
in derived Ord instances. The Ordering datatype allows a single
comparison to determine the precise ordering of two objects.
Minimal complete definition: either compare or <=.
Using compare can be more efficient for complex types.
Methods
compare :: a -> a -> Ordering #
(<) :: a -> a -> Bool infix 4 #
(<=) :: a -> a -> Bool infix 4 #
(>) :: a -> a -> Bool infix 4 #
Instances
Instances
| Bounded Ordering | Since: base-2.1 |
| Enum Ordering | Since: base-2.1 |
| Eq Ordering | |
| Data Ordering | Since: base-4.0.0.0 |
Defined in Data.Data Methods gfoldl :: (forall d b. Data d => c (d -> b) -> d -> c b) -> (forall g. g -> c g) -> Ordering -> c Ordering # gunfold :: (forall b r. Data b => c (b -> r) -> c r) -> (forall r. r -> c r) -> Constr -> c Ordering # toConstr :: Ordering -> Constr # dataTypeOf :: Ordering -> DataType # dataCast1 :: Typeable t => (forall d. Data d => c (t d)) -> Maybe (c Ordering) # dataCast2 :: Typeable t => (forall d e. (Data d, Data e) => c (t d e)) -> Maybe (c Ordering) # gmapT :: (forall b. Data b => b -> b) -> Ordering -> Ordering # gmapQl :: (r -> r' -> r) -> r -> (forall d. Data d => d -> r') -> Ordering -> r # gmapQr :: (r' -> r -> r) -> r -> (forall d. Data d => d -> r') -> Ordering -> r # gmapQ :: (forall d. Data d => d -> u) -> Ordering -> [u] # gmapQi :: Int -> (forall d. Data d => d -> u) -> Ordering -> u # gmapM :: Monad m => (forall d. Data d => d -> m d) -> Ordering -> m Ordering # gmapMp :: MonadPlus m => (forall d. Data d => d -> m d) -> Ordering -> m Ordering # gmapMo :: MonadPlus m => (forall d. Data d => d -> m d) -> Ordering -> m Ordering # | |
| Ord Ordering | |
Defined in GHC.Classes | |
| Read Ordering | Since: base-2.1 |
| Show Ordering | |
| Ix Ordering | Since: base-2.1 |
Defined in GHC.Arr | |
| Generic Ordering | |
| Semigroup Ordering | Since: base-4.9.0.0 |
| Monoid Ordering | Since: base-2.1 |
| Hashable Ordering | |
Defined in Data.Hashable.Class | |
| ToJSON Ordering | |
Defined in Data.Aeson.Types.ToJSON | |
| FromJSON Ordering | |
| NFData Ordering | |
Defined in Control.DeepSeq | |
| AsEmpty Ordering | |
Defined in Control.Lens.Empty | |
| Meet Ordering | Orderings form a semilattice. Idempotence: x /\ x == (x :: Ordering) Associativity: a /\ (b /\ c) == (a /\ b) /\ (c :: Ordering) Commutativity: a /\ b == b /\ (a :: Ordering) Identity: upperBound /\ a == (a :: Ordering) Absorption: lowerBound /\ a == (lowerBound :: Ordering) |
| Upper Ordering | |
Defined in Data.Semilattice.Upper Methods upperBound :: Ordering # | |
| Join Ordering | Orderings form a semilattice. Idempotence: x \/ x == (x :: Ordering) Associativity: a \/ (b \/ c) == (a \/ b) \/ (c :: Ordering) Commutativity: a \/ b == b \/ (a :: Ordering) Identity: lowerBound \/ a == (a :: Ordering) Absorption: upperBound \/ a == (upperBound :: Ordering) |
| Lower Ordering | |
Defined in Data.Semilattice.Lower Methods lowerBound :: Ordering # | |
| Serialise Ordering | Since: serialise-0.2.0.0 |
| HasTypes Ordering a | |
Defined in Data.Generics.Product.Types Methods types_ :: Traversal' Ordering a | |
| () :=> (Bounded Ordering) | |
| () :=> (Enum Ordering) | |
| () :=> (Read Ordering) | |
| () :=> (Show Ordering) | |
| () :=> (Semigroup Ordering) | |
| () :=> (Monoid Ordering) | |
| type Rep Ordering | |
Semigroup
The class of semigroups (types with an associative binary operation).
Instances should satisfy the associativity law:
Since: base-4.9.0.0
Minimal complete definition
Instances
Sequence
General-purpose finite sequences.
Instances
| Monad Seq | |
| Functor Seq | |
| MonadFix Seq | Since: containers-0.5.11 |
Defined in Data.Sequence.Internal | |
| Applicative Seq | Since: containers-0.5.4 |
| Foldable Seq | |
Defined in Data.Sequence.Internal Methods fold :: Monoid m => Seq m -> m # foldMap :: Monoid m => (a -> m) -> Seq a -> m # foldr :: (a -> b -> b) -> b -> Seq a -> b # foldr' :: (a -> b -> b) -> b -> Seq a -> b # foldl :: (b -> a -> b) -> b -> Seq a -> b # foldl' :: (b -> a -> b) -> b -> Seq a -> b # foldr1 :: (a -> a -> a) -> Seq a -> a # foldl1 :: (a -> a -> a) -> Seq a -> a # elem :: Eq a => a -> Seq a -> Bool # maximum :: Ord a => Seq a -> a # | |
| Traversable Seq | |
| Alternative Seq | Since: containers-0.5.4 |
| ToJSON1 Seq | |
Defined in Data.Aeson.Types.ToJSON Methods liftToJSON :: (a -> Value) -> ([a] -> Value) -> Seq a -> Value # liftToJSONList :: (a -> Value) -> ([a] -> Value) -> [Seq a] -> Value # liftToEncoding :: (a -> Encoding) -> ([a] -> Encoding) -> Seq a -> Encoding # liftToEncodingList :: (a -> Encoding) -> ([a] -> Encoding) -> [Seq a] -> Encoding # | |
| FromJSON1 Seq | |
| MonadPlus Seq | |
| Eq1 Seq | Since: containers-0.5.9 |
| Ord1 Seq | Since: containers-0.5.9 |
Defined in Data.Sequence.Internal | |
| Read1 Seq | Since: containers-0.5.9 |
Defined in Data.Sequence.Internal | |
| Show1 Seq | Since: containers-0.5.9 |
| MonadZip Seq |
|
| Compactable Seq | |
Defined in Control.Compactable Methods compact :: Seq (Maybe a) -> Seq a # separate :: Seq (Either l r) -> (Seq l, Seq r) # filter :: (a -> Bool) -> Seq a -> Seq a # partition :: (a -> Bool) -> Seq a -> (Seq a, Seq a) # fmapMaybe :: Functor Seq => (a -> Maybe b) -> Seq a -> Seq b # fmapEither :: Functor Seq => (a -> Either l r) -> Seq a -> (Seq l, Seq r) # applyMaybe :: Applicative Seq => Seq (a -> Maybe b) -> Seq a -> Seq b # applyEither :: Applicative Seq => Seq (a -> Either l r) -> Seq a -> (Seq l, Seq r) # bindMaybe :: Monad Seq => Seq a -> (a -> Seq (Maybe b)) -> Seq b # bindEither :: Monad Seq => Seq a -> (a -> Seq (Either l r)) -> (Seq l, Seq r) # traverseMaybe :: (Applicative g, Traversable Seq) => (a -> g (Maybe b)) -> Seq a -> g (Seq b) # traverseEither :: (Applicative g, Traversable Seq) => (a -> g (Either l r)) -> Seq a -> g (Seq l, Seq r) # | |
| Apply Seq | |
| Pointed Seq | |
Defined in Data.Pointed | |
| Plus Seq | |
Defined in Data.Functor.Plus | |
| Alt Seq | |
| Bind Seq | |
| Extend Seq | |
| UnzipWith Seq | |
Defined in Data.Sequence.Internal Methods unzipWith' :: (x -> (a, b)) -> Seq x -> (Seq a, Seq b) | |
| IsList (Seq a) | |
| Eq a => Eq (Seq a) | |
| Data a => Data (Seq a) | |
Defined in Data.Sequence.Internal Methods gfoldl :: (forall d b. Data d => c (d -> b) -> d -> c b) -> (forall g. g -> c g) -> Seq a -> c (Seq a) # gunfold :: (forall b r. Data b => c (b -> r) -> c r) -> (forall r. r -> c r) -> Constr -> c (Seq a) # dataTypeOf :: Seq a -> DataType # dataCast1 :: Typeable t => (forall d. Data d => c (t d)) -> Maybe (c (Seq a)) # dataCast2 :: Typeable t => (forall d e. (Data d, Data e) => c (t d e)) -> Maybe (c (Seq a)) # gmapT :: (forall b. Data b => b -> b) -> Seq a -> Seq a # gmapQl :: (r -> r' -> r) -> r -> (forall d. Data d => d -> r') -> Seq a -> r # gmapQr :: (r' -> r -> r) -> r -> (forall d. Data d => d -> r') -> Seq a -> r # gmapQ :: (forall d. Data d => d -> u) -> Seq a -> [u] # gmapQi :: Int -> (forall d. Data d => d -> u) -> Seq a -> u # gmapM :: Monad m => (forall d. Data d => d -> m d) -> Seq a -> m (Seq a) # gmapMp :: MonadPlus m => (forall d. Data d => d -> m d) -> Seq a -> m (Seq a) # gmapMo :: MonadPlus m => (forall d. Data d => d -> m d) -> Seq a -> m (Seq a) # | |
| Ord a => Ord (Seq a) | |
| Read a => Read (Seq a) | |
| Show a => Show (Seq a) | |
| a ~ Char => IsString (Seq a) | Since: containers-0.5.7 |
Defined in Data.Sequence.Internal Methods fromString :: String -> Seq a # | |
| Semigroup (Seq a) | Since: containers-0.5.7 |
| Monoid (Seq a) | |
| ToJSON a => ToJSON (Seq a) | |
Defined in Data.Aeson.Types.ToJSON | |
| FromJSON a => FromJSON (Seq a) | |
| NFData a => NFData (Seq a) | |
Defined in Data.Sequence.Internal | |
| Ixed (Seq a) | |
Defined in Control.Lens.At | |
| Wrapped (Seq a) | |
| AsEmpty (Seq a) | |
Defined in Control.Lens.Empty | |
| Reversing (Seq a) | |
Defined in Control.Lens.Internal.Iso | |
| Lower (Seq a) | |
Defined in Data.Semilattice.Lower Methods lowerBound :: Seq a # | |
| Serialise a => Serialise (Seq a) | Since: serialise-0.2.0.0 |
| t ~ Seq a' => Rewrapped (Seq a) t | |
Defined in Control.Lens.Wrapped | |
| Each (Seq a) (Seq b) a b |
|
| Cons (Seq a) (Seq b) a b | |
| Snoc (Seq a) (Seq b) a b | |
| type Item (Seq a) | |
Defined in Data.Sequence.Internal | |
| type Index (Seq a) | |
Defined in Control.Lens.At | |
| type IxValue (Seq a) | |
Defined in Control.Lens.At | |
| type Unwrapped (Seq a) | |
Defined in Control.Lens.Wrapped | |
Set
A set of values a.
Instances
| Foldable Set | |
Defined in Data.Set.Internal Methods fold :: Monoid m => Set m -> m # foldMap :: Monoid m => (a -> m) -> Set a -> m # foldr :: (a -> b -> b) -> b -> Set a -> b # foldr' :: (a -> b -> b) -> b -> Set a -> b # foldl :: (b -> a -> b) -> b -> Set a -> b # foldl' :: (b -> a -> b) -> b -> Set a -> b # foldr1 :: (a -> a -> a) -> Set a -> a # foldl1 :: (a -> a -> a) -> Set a -> a # elem :: Eq a => a -> Set a -> Bool # maximum :: Ord a => Set a -> a # | |
| ToJSON1 Set | |
Defined in Data.Aeson.Types.ToJSON Methods liftToJSON :: (a -> Value) -> ([a] -> Value) -> Set a -> Value # liftToJSONList :: (a -> Value) -> ([a] -> Value) -> [Set a] -> Value # liftToEncoding :: (a -> Encoding) -> ([a] -> Encoding) -> Set a -> Encoding # liftToEncodingList :: (a -> Encoding) -> ([a] -> Encoding) -> [Set a] -> Encoding # | |
| Eq1 Set | Since: containers-0.5.9 |
| Ord1 Set | Since: containers-0.5.9 |
Defined in Data.Set.Internal | |
| Show1 Set | Since: containers-0.5.9 |
| Compactable Set | |
Defined in Control.Compactable Methods compact :: Set (Maybe a) -> Set a # separate :: Set (Either l r) -> (Set l, Set r) # filter :: (a -> Bool) -> Set a -> Set a # partition :: (a -> Bool) -> Set a -> (Set a, Set a) # fmapMaybe :: Functor Set => (a -> Maybe b) -> Set a -> Set b # fmapEither :: Functor Set => (a -> Either l r) -> Set a -> (Set l, Set r) # applyMaybe :: Applicative Set => Set (a -> Maybe b) -> Set a -> Set b # applyEither :: Applicative Set => Set (a -> Either l r) -> Set a -> (Set l, Set r) # bindMaybe :: Monad Set => Set a -> (a -> Set (Maybe b)) -> Set b # bindEither :: Monad Set => Set a -> (a -> Set (Either l r)) -> (Set l, Set r) # traverseMaybe :: (Applicative g, Traversable Set) => (a -> g (Maybe b)) -> Set a -> g (Set b) # traverseEither :: (Applicative g, Traversable Set) => (a -> g (Either l r)) -> Set a -> g (Set l, Set r) # | |
| Pointed Set | |
Defined in Data.Pointed | |
| Ord a => IsList (Set a) | Since: containers-0.5.6.2 |
| Eq a => Eq (Set a) | |
| (Data a, Ord a) => Data (Set a) | |
Defined in Data.Set.Internal Methods gfoldl :: (forall d b. Data d => c (d -> b) -> d -> c b) -> (forall g. g -> c g) -> Set a -> c (Set a) # gunfold :: (forall b r. Data b => c (b -> r) -> c r) -> (forall r. r -> c r) -> Constr -> c (Set a) # dataTypeOf :: Set a -> DataType # dataCast1 :: Typeable t => (forall d. Data d => c (t d)) -> Maybe (c (Set a)) # dataCast2 :: Typeable t => (forall d e. (Data d, Data e) => c (t d e)) -> Maybe (c (Set a)) # gmapT :: (forall b. Data b => b -> b) -> Set a -> Set a # gmapQl :: (r -> r' -> r) -> r -> (forall d. Data d => d -> r') -> Set a -> r # gmapQr :: (r' -> r -> r) -> r -> (forall d. Data d => d -> r') -> Set a -> r # gmapQ :: (forall d. Data d => d -> u) -> Set a -> [u] # gmapQi :: Int -> (forall d. Data d => d -> u) -> Set a -> u # gmapM :: Monad m => (forall d. Data d => d -> m d) -> Set a -> m (Set a) # gmapMp :: MonadPlus m => (forall d. Data d => d -> m d) -> Set a -> m (Set a) # gmapMo :: MonadPlus m => (forall d. Data d => d -> m d) -> Set a -> m (Set a) # | |
| Ord a => Ord (Set a) | |
| (Read a, Ord a) => Read (Set a) | |
| Show a => Show (Set a) | |
| Ord a => Semigroup (Set a) | Since: containers-0.5.7 |
| Ord a => Monoid (Set a) | |
| ToJSON a => ToJSON (Set a) | |
Defined in Data.Aeson.Types.ToJSON | |
| (Ord a, FromJSON a) => FromJSON (Set a) | |
| NFData a => NFData (Set a) | |
Defined in Data.Set.Internal | |
| Ord a => Contains (Set a) | |
| Ord k => Ixed (Set k) | |
Defined in Control.Lens.At | |
| Ord k => At (Set k) | |
| Ord a => Wrapped (Set a) | |
| AsEmpty (Set a) | |
Defined in Control.Lens.Empty | |
| Ord a => Meet (Set a) | Set intersection forms a semilattice. Idempotence: x /\ x == (x :: Set Char) Associativity: a /\ (b /\ c) == (a /\ b) /\ (c :: Set Char) Commutativity: a /\ b == b /\ (a :: Set Char) Absorption: lowerBound /\ a == (lowerBound :: Set Char) |
| Ord a => Join (Set a) | Set union forms a semilattice. Idempotence: x \/ x == (x :: Set Char) Associativity: a \/ (b \/ c) == (a \/ b) \/ (c :: Set Char) Commutativity: a \/ b == b \/ (a :: Set Char) Identity: lowerBound \/ a == (a :: Set Char) |
| Lower (Set a) | |
Defined in Data.Semilattice.Lower Methods lowerBound :: Set a # | |
| (Ord a, Serialise a) => Serialise (Set a) | Since: serialise-0.2.0.0 |
| (t ~ Set a', Ord a) => Rewrapped (Set a) t | Use |
Defined in Control.Lens.Wrapped | |
| type Item (Set a) | |
Defined in Data.Set.Internal | |
| type Index (Set a) | |
Defined in Control.Lens.At | |
| type IxValue (Set k) | |
Defined in Control.Lens.At | |
| type Unwrapped (Set a) | |
Defined in Control.Lens.Wrapped | |
Set.Hash
A set of values. A set cannot contain duplicate values.
Instances
| Foldable HashSet | |
Defined in Data.HashSet Methods fold :: Monoid m => HashSet m -> m # foldMap :: Monoid m => (a -> m) -> HashSet a -> m # foldr :: (a -> b -> b) -> b -> HashSet a -> b # foldr' :: (a -> b -> b) -> b -> HashSet a -> b # foldl :: (b -> a -> b) -> b -> HashSet a -> b # foldl' :: (b -> a -> b) -> b -> HashSet a -> b # foldr1 :: (a -> a -> a) -> HashSet a -> a # foldl1 :: (a -> a -> a) -> HashSet a -> a # elem :: Eq a => a -> HashSet a -> Bool # maximum :: Ord a => HashSet a -> a # minimum :: Ord a => HashSet a -> a # | |
| ToJSON1 HashSet | |
Defined in Data.Aeson.Types.ToJSON Methods liftToJSON :: (a -> Value) -> ([a] -> Value) -> HashSet a -> Value # liftToJSONList :: (a -> Value) -> ([a] -> Value) -> [HashSet a] -> Value # liftToEncoding :: (a -> Encoding) -> ([a] -> Encoding) -> HashSet a -> Encoding # liftToEncodingList :: (a -> Encoding) -> ([a] -> Encoding) -> [HashSet a] -> Encoding # | |
| Eq1 HashSet | |
| Ord1 HashSet | |
Defined in Data.HashSet | |
| Show1 HashSet | |
| Hashable1 HashSet | |
Defined in Data.HashSet | |
| (Eq a, Hashable a) => IsList (HashSet a) | |
| Eq a => Eq (HashSet a) | |
| (Data a, Eq a, Hashable a) => Data (HashSet a) | |
Defined in Data.HashSet Methods gfoldl :: (forall d b. Data d => c (d -> b) -> d -> c b) -> (forall g. g -> c g) -> HashSet a -> c (HashSet a) # gunfold :: (forall b r. Data b => c (b -> r) -> c r) -> (forall r. r -> c r) -> Constr -> c (HashSet a) # toConstr :: HashSet a -> Constr # dataTypeOf :: HashSet a -> DataType # dataCast1 :: Typeable t => (forall d. Data d => c (t d)) -> Maybe (c (HashSet a)) # dataCast2 :: Typeable t => (forall d e. (Data d, Data e) => c (t d e)) -> Maybe (c (HashSet a)) # gmapT :: (forall b. Data b => b -> b) -> HashSet a -> HashSet a # gmapQl :: (r -> r' -> r) -> r -> (forall d. Data d => d -> r') -> HashSet a -> r # gmapQr :: (r' -> r -> r) -> r -> (forall d. Data d => d -> r') -> HashSet a -> r # gmapQ :: (forall d. Data d => d -> u) -> HashSet a -> [u] # gmapQi :: Int -> (forall d. Data d => d -> u) -> HashSet a -> u # gmapM :: Monad m => (forall d. Data d => d -> m d) -> HashSet a -> m (HashSet a) # gmapMp :: MonadPlus m => (forall d. Data d => d -> m d) -> HashSet a -> m (HashSet a) # gmapMo :: MonadPlus m => (forall d. Data d => d -> m d) -> HashSet a -> m (HashSet a) # | |
| Ord a => Ord (HashSet a) | |
| (Eq a, Hashable a, Read a) => Read (HashSet a) | |
| Show a => Show (HashSet a) | |
| (Hashable a, Eq a) => Semigroup (HashSet a) | |
| (Hashable a, Eq a) => Monoid (HashSet a) | |
| Hashable a => Hashable (HashSet a) | |
Defined in Data.HashSet | |
| ToJSON a => ToJSON (HashSet a) | |
Defined in Data.Aeson.Types.ToJSON | |
| (Eq a, Hashable a, FromJSON a) => FromJSON (HashSet a) | |
| NFData a => NFData (HashSet a) | |
Defined in Data.HashSet | |
| (Eq a, Hashable a) => Contains (HashSet a) | |
| (Eq k, Hashable k) => Ixed (HashSet k) | |
Defined in Control.Lens.At | |
| (Eq k, Hashable k) => At (HashSet k) | |
| (Hashable a, Eq a) => Wrapped (HashSet a) | |
| AsEmpty (HashSet a) | |
Defined in Control.Lens.Empty | |
| (Eq a, Hashable a) => Meet (HashSet a) | HashSet intersection forms a semilattice. Idempotence: x /\ x == (x :: HashSet Char) Associativity: a /\ (b /\ c) == (a /\ b) /\ (c :: HashSet Char) Commutativity: a /\ b == b /\ (a :: HashSet Char) Absorption: lowerBound /\ a == (lowerBound :: HashSet Char) |
| (Eq a, Hashable a) => Join (HashSet a) | HashSet union forms a semilattice. Idempotence: x \/ x == (x :: HashSet Char) Associativity: a \/ (b \/ c) == (a \/ b) \/ (c :: HashSet Char) Commutativity: a \/ b == b \/ (a :: HashSet Char) Identity: lowerBound \/ a == (a :: HashSet Char) |
| Lower (HashSet a) | |
Defined in Data.Semilattice.Lower Methods lowerBound :: HashSet a # | |
| (Serialise a, Hashable a, Eq a) => Serialise (HashSet a) | Since: serialise-0.2.0.0 |
| (t ~ HashSet a', Hashable a, Eq a) => Rewrapped (HashSet a) t | Use |
Defined in Control.Lens.Wrapped | |
| type Item (HashSet a) | |
Defined in Data.HashSet | |
| type Index (HashSet a) | |
Defined in Control.Lens.At | |
| type IxValue (HashSet k) | |
Defined in Control.Lens.At | |
| type Unwrapped (HashSet a) | |
Defined in Control.Lens.Wrapped | |
Set.Int
A set of integers.
Instances
| IsList IntSet | Since: containers-0.5.6.2 |
| Eq IntSet | |
| Data IntSet | |
Defined in Data.IntSet.Internal Methods gfoldl :: (forall d b. Data d => c (d -> b) -> d -> c b) -> (forall g. g -> c g) -> IntSet -> c IntSet # gunfold :: (forall b r. Data b => c (b -> r) -> c r) -> (forall r. r -> c r) -> Constr -> c IntSet # toConstr :: IntSet -> Constr # dataTypeOf :: IntSet -> DataType # dataCast1 :: Typeable t => (forall d. Data d => c (t d)) -> Maybe (c IntSet) # dataCast2 :: Typeable t => (forall d e. (Data d, Data e) => c (t d e)) -> Maybe (c IntSet) # gmapT :: (forall b. Data b => b -> b) -> IntSet -> IntSet # gmapQl :: (r -> r' -> r) -> r -> (forall d. Data d => d -> r') -> IntSet -> r # gmapQr :: (r' -> r -> r) -> r -> (forall d. Data d => d -> r') -> IntSet -> r # gmapQ :: (forall d. Data d => d -> u) -> IntSet -> [u] # gmapQi :: Int -> (forall d. Data d => d -> u) -> IntSet -> u # gmapM :: Monad m => (forall d. Data d => d -> m d) -> IntSet -> m IntSet # gmapMp :: MonadPlus m => (forall d. Data d => d -> m d) -> IntSet -> m IntSet # gmapMo :: MonadPlus m => (forall d. Data d => d -> m d) -> IntSet -> m IntSet # | |
| Ord IntSet | |
| Read IntSet | |
| Show IntSet | |
| Semigroup IntSet | Since: containers-0.5.7 |
| Monoid IntSet | |
| ToJSON IntSet | |
Defined in Data.Aeson.Types.ToJSON | |
| FromJSON IntSet | |
| NFData IntSet | |
Defined in Data.IntSet.Internal | |
| Contains IntSet | |
| Ixed IntSet | |
Defined in Control.Lens.At | |
| At IntSet | |
| Wrapped IntSet | |
| AsEmpty IntSet | |
Defined in Control.Lens.Empty | |
| Meet IntSet | IntSet intersection forms a semilattice. Idempotence: x /\ x == (x :: IntSet) Associativity: a /\ (b /\ c) == (a /\ b) /\ (c :: IntSet) Commutativity: a /\ b == b /\ (a :: IntSet) Absorption: lowerBound /\ a == (lowerBound :: IntSet) |
| Join IntSet | IntSet union forms a semilattice. Idempotence: x \/ x == (x :: IntSet) Associativity: a \/ (b \/ c) == (a \/ b) \/ (c :: IntSet) Commutativity: a \/ b == b \/ (a :: IntSet) Identity: lowerBound \/ a == (a :: IntSet) |
| Lower IntSet | |
Defined in Data.Semilattice.Lower Methods lowerBound :: IntSet # | |
| Serialise IntSet | Since: serialise-0.2.0.0 |
| t ~ IntSet => Rewrapped IntSet t | Use |
Defined in Control.Lens.Wrapped | |
| type Item IntSet | |
Defined in Data.IntSet.Internal | |
| type Index IntSet | |
Defined in Control.Lens.At | |
| type IxValue IntSet | |
Defined in Control.Lens.At | |
| type Unwrapped IntSet | |
Defined in Control.Lens.Wrapped | |
Show
Conversion of values to readable Strings.
Derived instances of Show have the following properties, which
are compatible with derived instances of Read:
- The result of
showis a syntactically correct Haskell expression containing only constants, given the fixity declarations in force at the point where the type is declared. It contains only the constructor names defined in the data type, parentheses, and spaces. When labelled constructor fields are used, braces, commas, field names, and equal signs are also used. - If the constructor is defined to be an infix operator, then
showsPrecwill produce infix applications of the constructor. - the representation will be enclosed in parentheses if the
precedence of the top-level constructor in
xis less thand(associativity is ignored). Thus, ifdis0then the result is never surrounded in parentheses; ifdis11it is always surrounded in parentheses, unless it is an atomic expression. - If the constructor is defined using record syntax, then
showwill produce the record-syntax form, with the fields given in the same order as the original declaration.
For example, given the declarations
infixr 5 :^: data Tree a = Leaf a | Tree a :^: Tree a
the derived instance of Show is equivalent to
instance (Show a) => Show (Tree a) where
showsPrec d (Leaf m) = showParen (d > app_prec) $
showString "Leaf " . showsPrec (app_prec+1) m
where app_prec = 10
showsPrec d (u :^: v) = showParen (d > up_prec) $
showsPrec (up_prec+1) u .
showString " :^: " .
showsPrec (up_prec+1) v
where up_prec = 5Note that right-associativity of :^: is ignored. For example,
show(Leaf 1 :^: Leaf 2 :^: Leaf 3)"Leaf 1 :^: (Leaf 2 :^: Leaf 3)".
Methods
Instances
Text
A space efficient, packed, unboxed Unicode text type.
Instances
Traversable
class (Functor t, Foldable t) => Traversable (t :: * -> *) where #
Functors representing data structures that can be traversed from left to right.
A definition of traverse must satisfy the following laws:
- naturality
t .for every applicative transformationtraversef =traverse(t . f)t- identity
traverseIdentity = Identity- composition
traverse(Compose .fmapg . f) = Compose .fmap(traverseg) .traversef
A definition of sequenceA must satisfy the following laws:
- naturality
t .for every applicative transformationsequenceA=sequenceA.fmaptt- identity
sequenceA.fmapIdentity = Identity- composition
sequenceA.fmapCompose = Compose .fmapsequenceA.sequenceA
where an applicative transformation is a function
t :: (Applicative f, Applicative g) => f a -> g a
preserving the Applicative operations, i.e.
and the identity functor Identity and composition of functors Compose
are defined as
newtype Identity a = Identity a
instance Functor Identity where
fmap f (Identity x) = Identity (f x)
instance Applicative Identity where
pure x = Identity x
Identity f <*> Identity x = Identity (f x)
newtype Compose f g a = Compose (f (g a))
instance (Functor f, Functor g) => Functor (Compose f g) where
fmap f (Compose x) = Compose (fmap (fmap f) x)
instance (Applicative f, Applicative g) => Applicative (Compose f g) where
pure x = Compose (pure (pure x))
Compose f <*> Compose x = Compose ((<*>) <$> f <*> x)(The naturality law is implied by parametricity.)
Instances are similar to Functor, e.g. given a data type
data Tree a = Empty | Leaf a | Node (Tree a) a (Tree a)
a suitable instance would be
instance Traversable Tree where traverse f Empty = pure Empty traverse f (Leaf x) = Leaf <$> f x traverse f (Node l k r) = Node <$> traverse f l <*> f k <*> traverse f r
This is suitable even for abstract types, as the laws for <*>
imply a form of associativity.
The superclass instances should satisfy the following:
- In the
Functorinstance,fmapshould be equivalent to traversal with the identity applicative functor (fmapDefault). - In the
Foldableinstance,foldMapshould be equivalent to traversal with a constant applicative functor (foldMapDefault).
Methods
traverse :: Applicative f => (a -> f b) -> t a -> f (t b) #
Map each element of a structure to an action, evaluate these actions
from left to right, and collect the results. For a version that ignores
the results see traverse_.
sequenceA :: Applicative f => t (f a) -> f (t a) #
Evaluate each action in the structure from left to right, and
and collect the results. For a version that ignores the results
see sequenceA_.
Instances
for :: (Traversable t, Applicative f) => t a -> (a -> f b) -> f (t b) #
Tuple
class Field1 s t a b | s -> a, t -> b, s b -> t, t a -> s where #
Provides access to 1st field of a tuple.
Methods
Access the 1st field of a tuple (and possibly change its type).
>>>(1,2)^._11
>>>_1 .~ "hello" $ (1,2)("hello",2)
>>>(1,2) & _1 .~ "hello"("hello",2)
>>>_1 putStrLn ("hello","world")hello ((),"world")
This can also be used on larger tuples as well:
>>>(1,2,3,4,5) & _1 +~ 41(42,2,3,4,5)
_1::Lens(a,b) (a',b) a a'_1::Lens(a,b,c) (a',b,c) a a'_1::Lens(a,b,c,d) (a',b,c,d) a a' ..._1::Lens(a,b,c,d,e,f,g,h,i) (a',b,c,d,e,f,g,h,i) a a'
Instances
| Field1 (Identity a) (Identity b) a b | |
| Field1 (a, b) (a', b) a a' |
|
Defined in Control.Lens.Tuple | |
| Field1 (a, b, c) (a', b, c) a a' | |
Defined in Control.Lens.Tuple | |
| Field1 (a, b, c, d) (a', b, c, d) a a' | |
Defined in Control.Lens.Tuple | |
| Field1 ((f :*: g) p) ((f' :*: g) p) (f p) (f' p) | |
| Field1 (Product f g a) (Product f' g a) (f a) (f' a) | |
| Field1 (a, b, c, d, e) (a', b, c, d, e) a a' | |
Defined in Control.Lens.Tuple | |
| Field1 (a, b, c, d, e, f) (a', b, c, d, e, f) a a' | |
Defined in Control.Lens.Tuple | |
| Field1 (a, b, c, d, e, f, g) (a', b, c, d, e, f, g) a a' | |
Defined in Control.Lens.Tuple | |
| Field1 (a, b, c, d, e, f, g, h) (a', b, c, d, e, f, g, h) a a' | |
Defined in Control.Lens.Tuple | |
| Field1 (a, b, c, d, e, f, g, h, i) (a', b, c, d, e, f, g, h, i) a a' | |
Defined in Control.Lens.Tuple | |
| Field1 (a, b, c, d, e, f, g, h, i, j) (a', b, c, d, e, f, g, h, i, j) a a' | |
Defined in Control.Lens.Tuple | |
| Field1 (a, b, c, d, e, f, g, h, i, j, kk) (a', b, c, d, e, f, g, h, i, j, kk) a a' | |
Defined in Control.Lens.Tuple | |
| Field1 (a, b, c, d, e, f, g, h, i, j, kk, l) (a', b, c, d, e, f, g, h, i, j, kk, l) a a' | |
Defined in Control.Lens.Tuple | |
| Field1 (a, b, c, d, e, f, g, h, i, j, kk, l, m) (a', b, c, d, e, f, g, h, i, j, kk, l, m) a a' | |
Defined in Control.Lens.Tuple | |
| Field1 (a, b, c, d, e, f, g, h, i, j, kk, l, m, n) (a', b, c, d, e, f, g, h, i, j, kk, l, m, n) a a' | |
Defined in Control.Lens.Tuple | |
| Field1 (a, b, c, d, e, f, g, h, i, j, kk, l, m, n, o) (a', b, c, d, e, f, g, h, i, j, kk, l, m, n, o) a a' | |
Defined in Control.Lens.Tuple | |
| Field1 (a, b, c, d, e, f, g, h, i, j, kk, l, m, n, o, p) (a', b, c, d, e, f, g, h, i, j, kk, l, m, n, o, p) a a' | |
Defined in Control.Lens.Tuple | |
| Field1 (a, b, c, d, e, f, g, h, i, j, kk, l, m, n, o, p, q) (a', b, c, d, e, f, g, h, i, j, kk, l, m, n, o, p, q) a a' | |
Defined in Control.Lens.Tuple | |
| Field1 (a, b, c, d, e, f, g, h, i, j, kk, l, m, n, o, p, q, r) (a', b, c, d, e, f, g, h, i, j, kk, l, m, n, o, p, q, r) a a' | |
Defined in Control.Lens.Tuple | |
| Field1 (a, b, c, d, e, f, g, h, i, j, kk, l, m, n, o, p, q, r, s) (a', b, c, d, e, f, g, h, i, j, kk, l, m, n, o, p, q, r, s) a a' | |
Defined in Control.Lens.Tuple | |
class Field2 s t a b | s -> a, t -> b, s b -> t, t a -> s where #
Provides access to the 2nd field of a tuple.
Methods
Access the 2nd field of a tuple.
>>>_2 .~ "hello" $ (1,(),3,4)(1,"hello",3,4)
>>>(1,2,3,4) & _2 *~ 3(1,6,3,4)
>>>_2 print (1,2)2 (1,())
anyOf_2:: (s ->Bool) -> (a, s) ->Booltraverse._2:: (Applicativef,Traversablet) => (a -> f b) -> t (s, a) -> f (t (s, b))foldMapOf(traverse._2) :: (Traversablet,Monoidm) => (s -> m) -> t (b, s) -> m
Instances
| Field2 (a, b) (a, b') b b' |
|
Defined in Control.Lens.Tuple | |
| Field2 (a, b, c) (a, b', c) b b' | |
Defined in Control.Lens.Tuple | |
| Field2 (a, b, c, d) (a, b', c, d) b b' | |
Defined in Control.Lens.Tuple | |
| Field2 ((f :*: g) p) ((f :*: g') p) (g p) (g' p) | |
| Field2 (Product f g a) (Product f g' a) (g a) (g' a) | |
| Field2 (a, b, c, d, e) (a, b', c, d, e) b b' | |
Defined in Control.Lens.Tuple | |
| Field2 (a, b, c, d, e, f) (a, b', c, d, e, f) b b' | |
Defined in Control.Lens.Tuple | |
| Field2 (a, b, c, d, e, f, g) (a, b', c, d, e, f, g) b b' | |
Defined in Control.Lens.Tuple | |
| Field2 (a, b, c, d, e, f, g, h) (a, b', c, d, e, f, g, h) b b' | |
Defined in Control.Lens.Tuple | |
| Field2 (a, b, c, d, e, f, g, h, i) (a, b', c, d, e, f, g, h, i) b b' | |
Defined in Control.Lens.Tuple | |
| Field2 (a, b, c, d, e, f, g, h, i, j) (a, b', c, d, e, f, g, h, i, j) b b' | |
Defined in Control.Lens.Tuple | |
| Field2 (a, b, c, d, e, f, g, h, i, j, kk) (a, b', c, d, e, f, g, h, i, j, kk) b b' | |
Defined in Control.Lens.Tuple | |
| Field2 (a, b, c, d, e, f, g, h, i, j, kk, l) (a, b', c, d, e, f, g, h, i, j, kk, l) b b' | |
Defined in Control.Lens.Tuple | |
| Field2 (a, b, c, d, e, f, g, h, i, j, kk, l, m) (a, b', c, d, e, f, g, h, i, j, kk, l, m) b b' | |
Defined in Control.Lens.Tuple | |
| Field2 (a, b, c, d, e, f, g, h, i, j, kk, l, m, n) (a, b', c, d, e, f, g, h, i, j, kk, l, m, n) b b' | |
Defined in Control.Lens.Tuple | |
| Field2 (a, b, c, d, e, f, g, h, i, j, kk, l, m, n, o) (a, b', c, d, e, f, g, h, i, j, kk, l, m, n, o) b b' | |
Defined in Control.Lens.Tuple | |
| Field2 (a, b, c, d, e, f, g, h, i, j, kk, l, m, n, o, p) (a, b', c, d, e, f, g, h, i, j, kk, l, m, n, o, p) b b' | |
Defined in Control.Lens.Tuple | |
| Field2 (a, b, c, d, e, f, g, h, i, j, kk, l, m, n, o, p, q) (a, b', c, d, e, f, g, h, i, j, kk, l, m, n, o, p, q) b b' | |
Defined in Control.Lens.Tuple | |
| Field2 (a, b, c, d, e, f, g, h, i, j, kk, l, m, n, o, p, q, r) (a, b', c, d, e, f, g, h, i, j, kk, l, m, n, o, p, q, r) b b' | |
Defined in Control.Lens.Tuple | |
| Field2 (a, b, c, d, e, f, g, h, i, j, kk, l, m, n, o, p, q, r, s) (a, b', c, d, e, f, g, h, i, j, kk, l, m, n, o, p, q, r, s) b b' | |
Defined in Control.Lens.Tuple | |
class Field3 s t a b | s -> a, t -> b, s b -> t, t a -> s where #
Provides access to the 3rd field of a tuple.
Instances
| Field3 (a, b, c) (a, b, c') c c' | |
Defined in Control.Lens.Tuple | |
| Field3 (a, b, c, d) (a, b, c', d) c c' | |
Defined in Control.Lens.Tuple | |
| Field3 (a, b, c, d, e) (a, b, c', d, e) c c' | |
Defined in Control.Lens.Tuple | |
| Field3 (a, b, c, d, e, f) (a, b, c', d, e, f) c c' | |
Defined in Control.Lens.Tuple | |
| Field3 (a, b, c, d, e, f, g) (a, b, c', d, e, f, g) c c' | |
Defined in Control.Lens.Tuple | |
| Field3 (a, b, c, d, e, f, g, h) (a, b, c', d, e, f, g, h) c c' | |
Defined in Control.Lens.Tuple | |
| Field3 (a, b, c, d, e, f, g, h, i) (a, b, c', d, e, f, g, h, i) c c' | |
Defined in Control.Lens.Tuple | |
| Field3 (a, b, c, d, e, f, g, h, i, j) (a, b, c', d, e, f, g, h, i, j) c c' | |
Defined in Control.Lens.Tuple | |
| Field3 (a, b, c, d, e, f, g, h, i, j, kk) (a, b, c', d, e, f, g, h, i, j, kk) c c' | |
Defined in Control.Lens.Tuple | |
| Field3 (a, b, c, d, e, f, g, h, i, j, kk, l) (a, b, c', d, e, f, g, h, i, j, kk, l) c c' | |
Defined in Control.Lens.Tuple | |
| Field3 (a, b, c, d, e, f, g, h, i, j, kk, l, m) (a, b, c', d, e, f, g, h, i, j, kk, l, m) c c' | |
Defined in Control.Lens.Tuple | |
| Field3 (a, b, c, d, e, f, g, h, i, j, kk, l, m, n) (a, b, c', d, e, f, g, h, i, j, kk, l, m, n) c c' | |
Defined in Control.Lens.Tuple | |
| Field3 (a, b, c, d, e, f, g, h, i, j, kk, l, m, n, o) (a, b, c', d, e, f, g, h, i, j, kk, l, m, n, o) c c' | |
Defined in Control.Lens.Tuple | |
| Field3 (a, b, c, d, e, f, g, h, i, j, kk, l, m, n, o, p) (a, b, c', d, e, f, g, h, i, j, kk, l, m, n, o, p) c c' | |
Defined in Control.Lens.Tuple | |
| Field3 (a, b, c, d, e, f, g, h, i, j, kk, l, m, n, o, p, q) (a, b, c', d, e, f, g, h, i, j, kk, l, m, n, o, p, q) c c' | |
Defined in Control.Lens.Tuple | |
| Field3 (a, b, c, d, e, f, g, h, i, j, kk, l, m, n, o, p, q, r) (a, b, c', d, e, f, g, h, i, j, kk, l, m, n, o, p, q, r) c c' | |
Defined in Control.Lens.Tuple | |
| Field3 (a, b, c, d, e, f, g, h, i, j, kk, l, m, n, o, p, q, r, s) (a, b, c', d, e, f, g, h, i, j, kk, l, m, n, o, p, q, r, s) c c' | |
Defined in Control.Lens.Tuple | |
class Field4 s t a b | s -> a, t -> b, s b -> t, t a -> s where #
Provide access to the 4th field of a tuple.
Instances
| Field4 (a, b, c, d) (a, b, c, d') d d' | |
Defined in Control.Lens.Tuple | |
| Field4 (a, b, c, d, e) (a, b, c, d', e) d d' | |
Defined in Control.Lens.Tuple | |
| Field4 (a, b, c, d, e, f) (a, b, c, d', e, f) d d' | |
Defined in Control.Lens.Tuple | |
| Field4 (a, b, c, d, e, f, g) (a, b, c, d', e, f, g) d d' | |
Defined in Control.Lens.Tuple | |
| Field4 (a, b, c, d, e, f, g, h) (a, b, c, d', e, f, g, h) d d' | |
Defined in Control.Lens.Tuple | |
| Field4 (a, b, c, d, e, f, g, h, i) (a, b, c, d', e, f, g, h, i) d d' | |
Defined in Control.Lens.Tuple | |
| Field4 (a, b, c, d, e, f, g, h, i, j) (a, b, c, d', e, f, g, h, i, j) d d' | |
Defined in Control.Lens.Tuple | |
| Field4 (a, b, c, d, e, f, g, h, i, j, kk) (a, b, c, d', e, f, g, h, i, j, kk) d d' | |
Defined in Control.Lens.Tuple | |
| Field4 (a, b, c, d, e, f, g, h, i, j, kk, l) (a, b, c, d', e, f, g, h, i, j, kk, l) d d' | |
Defined in Control.Lens.Tuple | |
| Field4 (a, b, c, d, e, f, g, h, i, j, kk, l, m) (a, b, c, d', e, f, g, h, i, j, kk, l, m) d d' | |
Defined in Control.Lens.Tuple | |
| Field4 (a, b, c, d, e, f, g, h, i, j, kk, l, m, n) (a, b, c, d', e, f, g, h, i, j, kk, l, m, n) d d' | |
Defined in Control.Lens.Tuple | |
| Field4 (a, b, c, d, e, f, g, h, i, j, kk, l, m, n, o) (a, b, c, d', e, f, g, h, i, j, kk, l, m, n, o) d d' | |
Defined in Control.Lens.Tuple | |
| Field4 (a, b, c, d, e, f, g, h, i, j, kk, l, m, n, o, p) (a, b, c, d', e, f, g, h, i, j, kk, l, m, n, o, p) d d' | |
Defined in Control.Lens.Tuple | |
| Field4 (a, b, c, d, e, f, g, h, i, j, kk, l, m, n, o, p, q) (a, b, c, d', e, f, g, h, i, j, kk, l, m, n, o, p, q) d d' | |
Defined in Control.Lens.Tuple | |
| Field4 (a, b, c, d, e, f, g, h, i, j, kk, l, m, n, o, p, q, r) (a, b, c, d', e, f, g, h, i, j, kk, l, m, n, o, p, q, r) d d' | |
Defined in Control.Lens.Tuple | |
| Field4 (a, b, c, d, e, f, g, h, i, j, kk, l, m, n, o, p, q, r, s) (a, b, c, d', e, f, g, h, i, j, kk, l, m, n, o, p, q, r, s) d d' | |
Defined in Control.Lens.Tuple | |
class Field5 s t a b | s -> a, t -> b, s b -> t, t a -> s where #
Provides access to the 5th field of a tuple.
Instances
| Field5 (a, b, c, d, e) (a, b, c, d, e') e e' | |
Defined in Control.Lens.Tuple | |
| Field5 (a, b, c, d, e, f) (a, b, c, d, e', f) e e' | |
Defined in Control.Lens.Tuple | |
| Field5 (a, b, c, d, e, f, g) (a, b, c, d, e', f, g) e e' | |
Defined in Control.Lens.Tuple | |
| Field5 (a, b, c, d, e, f, g, h) (a, b, c, d, e', f, g, h) e e' | |
Defined in Control.Lens.Tuple | |
| Field5 (a, b, c, d, e, f, g, h, i) (a, b, c, d, e', f, g, h, i) e e' | |
Defined in Control.Lens.Tuple | |
| Field5 (a, b, c, d, e, f, g, h, i, j) (a, b, c, d, e', f, g, h, i, j) e e' | |
Defined in Control.Lens.Tuple | |
| Field5 (a, b, c, d, e, f, g, h, i, j, kk) (a, b, c, d, e', f, g, h, i, j, kk) e e' | |
Defined in Control.Lens.Tuple | |
| Field5 (a, b, c, d, e, f, g, h, i, j, kk, l) (a, b, c, d, e', f, g, h, i, j, kk, l) e e' | |
Defined in Control.Lens.Tuple | |
| Field5 (a, b, c, d, e, f, g, h, i, j, kk, l, m) (a, b, c, d, e', f, g, h, i, j, kk, l, m) e e' | |
Defined in Control.Lens.Tuple | |
| Field5 (a, b, c, d, e, f, g, h, i, j, kk, l, m, n) (a, b, c, d, e', f, g, h, i, j, kk, l, m, n) e e' | |
Defined in Control.Lens.Tuple | |
| Field5 (a, b, c, d, e, f, g, h, i, j, kk, l, m, n, o) (a, b, c, d, e', f, g, h, i, j, kk, l, m, n, o) e e' | |
Defined in Control.Lens.Tuple | |
| Field5 (a, b, c, d, e, f, g, h, i, j, kk, l, m, n, o, p) (a, b, c, d, e', f, g, h, i, j, kk, l, m, n, o, p) e e' | |
Defined in Control.Lens.Tuple | |
| Field5 (a, b, c, d, e, f, g, h, i, j, kk, l, m, n, o, p, q) (a, b, c, d, e', f, g, h, i, j, kk, l, m, n, o, p, q) e e' | |
Defined in Control.Lens.Tuple | |
| Field5 (a, b, c, d, e, f, g, h, i, j, kk, l, m, n, o, p, q, r) (a, b, c, d, e', f, g, h, i, j, kk, l, m, n, o, p, q, r) e e' | |
Defined in Control.Lens.Tuple | |
| Field5 (a, b, c, d, e, f, g, h, i, j, kk, l, m, n, o, p, q, r, s) (a, b, c, d, e', f, g, h, i, j, kk, l, m, n, o, p, q, r, s) e e' | |
Defined in Control.Lens.Tuple | |
class Field6 s t a b | s -> a, t -> b, s b -> t, t a -> s where #
Provides access to the 6th element of a tuple.
Instances
| Field6 (a, b, c, d, e, f) (a, b, c, d, e, f') f f' | |
Defined in Control.Lens.Tuple | |
| Field6 (a, b, c, d, e, f, g) (a, b, c, d, e, f', g) f f' | |
Defined in Control.Lens.Tuple | |
| Field6 (a, b, c, d, e, f, g, h) (a, b, c, d, e, f', g, h) f f' | |
Defined in Control.Lens.Tuple | |
| Field6 (a, b, c, d, e, f, g, h, i) (a, b, c, d, e, f', g, h, i) f f' | |
Defined in Control.Lens.Tuple | |
| Field6 (a, b, c, d, e, f, g, h, i, j) (a, b, c, d, e, f', g, h, i, j) f f' | |
Defined in Control.Lens.Tuple | |
| Field6 (a, b, c, d, e, f, g, h, i, j, kk) (a, b, c, d, e, f', g, h, i, j, kk) f f' | |
Defined in Control.Lens.Tuple | |
| Field6 (a, b, c, d, e, f, g, h, i, j, kk, l) (a, b, c, d, e, f', g, h, i, j, kk, l) f f' | |
Defined in Control.Lens.Tuple | |
| Field6 (a, b, c, d, e, f, g, h, i, j, kk, l, m) (a, b, c, d, e, f', g, h, i, j, kk, l, m) f f' | |
Defined in Control.Lens.Tuple | |
| Field6 (a, b, c, d, e, f, g, h, i, j, kk, l, m, n) (a, b, c, d, e, f', g, h, i, j, kk, l, m, n) f f' | |
Defined in Control.Lens.Tuple | |
| Field6 (a, b, c, d, e, f, g, h, i, j, kk, l, m, n, o) (a, b, c, d, e, f', g, h, i, j, kk, l, m, n, o) f f' | |
Defined in Control.Lens.Tuple | |
| Field6 (a, b, c, d, e, f, g, h, i, j, kk, l, m, n, o, p) (a, b, c, d, e, f', g, h, i, j, kk, l, m, n, o, p) f f' | |
Defined in Control.Lens.Tuple | |
| Field6 (a, b, c, d, e, f, g, h, i, j, kk, l, m, n, o, p, q) (a, b, c, d, e, f', g, h, i, j, kk, l, m, n, o, p, q) f f' | |
Defined in Control.Lens.Tuple | |
| Field6 (a, b, c, d, e, f, g, h, i, j, kk, l, m, n, o, p, q, r) (a, b, c, d, e, f', g, h, i, j, kk, l, m, n, o, p, q, r) f f' | |
Defined in Control.Lens.Tuple | |
| Field6 (a, b, c, d, e, f, g, h, i, j, kk, l, m, n, o, p, q, r, s) (a, b, c, d, e, f', g, h, i, j, kk, l, m, n, o, p, q, r, s) f f' | |
Defined in Control.Lens.Tuple | |
Void
Uninhabited data type
Since: base-4.8.0.0
Instances
| Eq Void | Since: base-4.8.0.0 |
| Data Void | Since: base-4.8.0.0 |
Defined in Data.Void Methods gfoldl :: (forall d b. Data d => c (d -> b) -> d -> c b) -> (forall g. g -> c g) -> Void -> c Void # gunfold :: (forall b r. Data b => c (b -> r) -> c r) -> (forall r. r -> c r) -> Constr -> c Void # dataTypeOf :: Void -> DataType # dataCast1 :: Typeable t => (forall d. Data d => c (t d)) -> Maybe (c Void) # dataCast2 :: Typeable t => (forall d e. (Data d, Data e) => c (t d e)) -> Maybe (c Void) # gmapT :: (forall b. Data b => b -> b) -> Void -> Void # gmapQl :: (r -> r' -> r) -> r -> (forall d. Data d => d -> r') -> Void -> r # gmapQr :: (r' -> r -> r) -> r -> (forall d. Data d => d -> r') -> Void -> r # gmapQ :: (forall d. Data d => d -> u) -> Void -> [u] # gmapQi :: Int -> (forall d. Data d => d -> u) -> Void -> u # gmapM :: Monad m => (forall d. Data d => d -> m d) -> Void -> m Void # gmapMp :: MonadPlus m => (forall d. Data d => d -> m d) -> Void -> m Void # gmapMo :: MonadPlus m => (forall d. Data d => d -> m d) -> Void -> m Void # | |
| Ord Void | Since: base-4.8.0.0 |
| Read Void | Reading a Since: base-4.8.0.0 |
| Show Void | Since: base-4.8.0.0 |
| Ix Void | Since: base-4.8.0.0 |
| Generic Void | |
| Semigroup Void | Since: base-4.9.0.0 |
| Hashable Void | |
Defined in Data.Hashable.Class | |
| ToJSON Void | |
Defined in Data.Aeson.Types.ToJSON | |
| FromJSON Void | |
| Exception Void | Since: base-4.8.0.0 |
Defined in Data.Void Methods toException :: Void -> SomeException # fromException :: SomeException -> Maybe Void # displayException :: Void -> String # | |
| NFData Void | Since: deepseq-1.4.0.0 |
Defined in Control.DeepSeq | |
| ShowErrorComponent Void | |
Defined in Text.Megaparsec.Error Methods showErrorComponent :: Void -> String # | |
| Pretty Void | Finding a good example for printing something that does not exist is hard, so here is an example of printing a list full of nothing.
|
Defined in Data.Text.Prettyprint.Doc.Internal | |
| type Rep Void | Since: base-4.8.0.0 |