| Copyright | (C) 2019 QBayLogic B.V. (C) 2021 QBayLogic B.V. |
|---|---|
| License | BSD2 (see the file LICENSE) |
| Maintainer | QBayLogic B.V <devops@qbaylogic.com> |
| Safe Haskell | Safe |
| Language | Haskell2010 |
| Extensions |
|
Clash.HaskellPrelude
Description
Clash.HaskellPrelude re-exports most of the Haskell Prelude with the
exception of those functions that the Clash API defines to work on
Vec from Clash.Sized.Vector instead of on lists as the
Haskell Prelude does. In addition, for the odd and
even functions a type class called
Parity is available at Clash.Class.Parity.
Synopsis
- data Bool
- data Char
- data Double
- data Float
- data Int
- data Word
- data Ordering
- data Maybe a
- class a ~# b => (a :: k) ~ (b :: k)
- data Integer
- class Show a where
- class Bounded a where
- class Enum a where
- succ :: a -> a
- pred :: a -> a
- toEnum :: Int -> a
- fromEnum :: a -> Int
- enumFrom :: a -> [a]
- enumFromThen :: a -> a -> [a]
- enumFromTo :: a -> a -> [a]
- enumFromThenTo :: a -> a -> a -> [a]
- class (Real a, Enum a) => Integral a where
- class (Real a, Fractional a) => RealFrac a where
- class Read a where
- data IO a
- type String = [Char]
- class Eq a => Ord a where
- type Rational = Ratio Integer
- class Num a => Fractional a where
- (/) :: a -> a -> a
- recip :: a -> a
- fromRational :: Rational -> a
- class (Num a, Ord a) => Real a where
- toRational :: a -> Rational
- class Eq a where
- class Semigroup a => Monoid a where
- class Semigroup a where
- (<>) :: a -> a -> a
- class Functor f => Applicative (f :: Type -> Type) where
- class Functor (f :: Type -> Type) where
- class Applicative m => Monad (m :: Type -> Type) where
- class Foldable (t :: Type -> Type) where
- class (Functor t, Foldable t) => Traversable (t :: Type -> Type) where
- traverse :: Applicative f => (a -> f b) -> t a -> f (t b)
- sequenceA :: Applicative f => t (f a) -> f (t a)
- mapM :: Monad m => (a -> m b) -> t a -> m (t b)
- sequence :: Monad m => t (m a) -> m (t a)
- data Either a b
- type IOError = IOException
- class Fractional a => Floating a where
- class Num a where
- class (RealFrac a, Floating a) => RealFloat a where
- floatRadix :: a -> Integer
- floatDigits :: a -> Int
- floatRange :: a -> (Int, Int)
- decodeFloat :: a -> (Integer, Int)
- encodeFloat :: Integer -> Int -> a
- exponent :: a -> Int
- significand :: a -> a
- scaleFloat :: Int -> a -> a
- isNaN :: a -> Bool
- isInfinite :: a -> Bool
- isDenormalized :: a -> Bool
- isNegativeZero :: a -> Bool
- isIEEE :: a -> Bool
- atan2 :: a -> a -> a
- class Monad m => MonadFail (m :: Type -> Type) where
- type ShowS = String -> String
- type ReadS a = String -> [(a, String)]
- type FilePath = String
- realToFrac :: (Real a, Fractional b) => a -> b
- fromIntegral :: (Integral a, Num b) => a -> b
- ($) :: forall (r :: RuntimeRep) a (b :: TYPE r). (a -> b) -> a -> b
- otherwise :: Bool
- break :: (a -> Bool) -> [a] -> ([a], [a])
- cycle :: HasCallStack => [a] -> [a]
- dropWhile :: (a -> Bool) -> [a] -> [a]
- filter :: (a -> Bool) -> [a] -> [a]
- lines :: String -> [String]
- span :: (a -> Bool) -> [a] -> ([a], [a])
- takeWhile :: (a -> Bool) -> [a] -> [a]
- unlines :: [String] -> String
- unwords :: [String] -> String
- words :: String -> [String]
- either :: (a -> c) -> (b -> c) -> Either a b -> c
- id :: a -> a
- fst :: (a, b) -> a
- snd :: (a, b) -> b
- error :: forall (r :: RuntimeRep) (a :: TYPE r). HasCallStack => [Char] -> a
- (<$>) :: Functor f => (a -> b) -> f a -> f b
- uncurry :: (a -> b -> c) -> (a, b) -> c
- writeFile :: FilePath -> String -> IO ()
- putStrLn :: String -> IO ()
- seq :: forall {r :: RuntimeRep} a (b :: TYPE r). a -> b -> b
- print :: Show a => a -> IO ()
- errorWithoutStackTrace :: forall (r :: RuntimeRep) (a :: TYPE r). [Char] -> a
- (=<<) :: Monad m => (a -> m b) -> m a -> m b
- const :: a -> b -> a
- (.) :: (b -> c) -> (a -> b) -> a -> c
- flip :: (a -> b -> c) -> b -> a -> c
- ($!) :: forall (r :: RuntimeRep) a (b :: TYPE r). (a -> b) -> a -> b
- until :: (a -> Bool) -> (a -> a) -> a -> a
- asTypeOf :: a -> a -> a
- subtract :: Num a => a -> a -> a
- maybe :: b -> (a -> b) -> Maybe a -> b
- and :: Foldable t => t Bool -> Bool
- or :: Foldable t => t Bool -> Bool
- any :: Foldable t => (a -> Bool) -> t a -> Bool
- all :: Foldable t => (a -> Bool) -> t a -> Bool
- notElem :: (Foldable t, Eq a) => a -> t a -> Bool
- lookup :: Eq a => a -> [(a, b)] -> Maybe b
- shows :: Show a => a -> ShowS
- showChar :: Char -> ShowS
- showString :: String -> ShowS
- showParen :: Bool -> ShowS -> ShowS
- (^^) :: (Fractional a, Integral b) => a -> b -> a
- gcd :: Integral a => a -> a -> a
- lcm :: Integral a => a -> a -> a
- curry :: ((a, b) -> c) -> a -> b -> c
- lex :: ReadS String
- readParen :: Bool -> ReadS a -> ReadS a
- reads :: Read a => ReadS a
- read :: Read a => String -> a
- mapM_ :: (Foldable t, Monad m) => (a -> m b) -> t a -> m ()
- sequence_ :: (Foldable t, Monad m) => t (m a) -> m ()
- userError :: String -> IOError
- ioError :: IOError -> IO a
- putStr :: String -> IO ()
- getContents :: IO String
- interact :: (String -> String) -> IO ()
- readFile :: FilePath -> IO String
- appendFile :: FilePath -> String -> IO ()
- readLn :: Read a => IO a
- readIO :: Read a => String -> IO a
- (&&) :: Bool -> Bool -> Bool
- (||) :: Bool -> Bool -> Bool
- not :: Bool -> Bool
Documentation
Instances
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
| Arbitrary Char | |
| CoArbitrary Char | |
Defined in Test.QuickCheck.Arbitrary Methods coarbitrary :: Char -> Gen b -> Gen b # | |
| Data Char | 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) -> Char -> c Char # gunfold :: (forall b r. Data b => c (b -> r) -> c r) -> (forall r. r -> c r) -> Constr -> c Char # dataTypeOf :: Char -> DataType # dataCast1 :: Typeable t => (forall d. Data d => c (t d)) -> Maybe (c Char) # dataCast2 :: Typeable t => (forall d e. (Data d, Data e) => c (t d e)) -> Maybe (c Char) # gmapT :: (forall b. Data b => b -> b) -> Char -> Char # gmapQl :: (r -> r' -> r) -> r -> (forall d. Data d => d -> r') -> Char -> r # gmapQr :: forall r r'. (r' -> r -> r) -> r -> (forall d. Data d => d -> r') -> Char -> r # gmapQ :: (forall d. Data d => d -> u) -> Char -> [u] # gmapQi :: Int -> (forall d. Data d => d -> u) -> Char -> u # gmapM :: Monad m => (forall d. Data d => d -> m d) -> Char -> m Char # gmapMp :: MonadPlus m => (forall d. Data d => d -> m d) -> Char -> m Char # gmapMo :: MonadPlus m => (forall d. Data d => d -> m d) -> Char -> m Char # | |
| Bounded Char | Since: base-2.1 |
| Enum Char | Since: base-2.1 |
| Ix Char | Since: base-2.1 |
| Read Char | Since: base-2.1 |
| Show Char | Since: base-2.1 |
| IsChar Char | Since: base-2.1 |
| PrintfArg Char | Since: base-2.1 |
Defined in Text.Printf | |
| Binary Char | |
| AutoReg Char Source # | |
Defined in Clash.Class.AutoReg.Internal | |
| BitPack Char Source # | |
| NFDataX Char Source # | |
Defined in Clash.XException | |
| ShowX String Source # | |
| ShowX Char Source # | |
| NFData Char | |
Defined in Control.DeepSeq | |
| Eq Char | |
| Ord Char | |
| Hashable Char | |
Defined in Data.Hashable.Class | |
| Uniform Char | |
Defined in System.Random.Internal Methods uniformM :: StatefulGen g m => g -> m Char # | |
| UniformRange Char | |
| Unbox Char | |
Defined in Data.Vector.Unboxed.Base | |
| IArray UArray Char | |
Defined in Data.Array.Base Methods bounds :: Ix i => UArray i Char -> (i, i) # numElements :: Ix i => UArray i Char -> Int # unsafeArray :: Ix i => (i, i) -> [(Int, Char)] -> UArray i Char # unsafeAt :: Ix i => UArray i Char -> Int -> Char # unsafeReplace :: Ix i => UArray i Char -> [(Int, Char)] -> UArray i Char # unsafeAccum :: Ix i => (Char -> e' -> Char) -> UArray i Char -> [(Int, e')] -> UArray i Char # unsafeAccumArray :: Ix i => (Char -> e' -> Char) -> Char -> (i, i) -> [(Int, e')] -> UArray i Char # | |
| TestCoercion SChar | Since: base-4.18.0.0 |
Defined in GHC.TypeLits | |
| TestEquality SChar | Since: base-4.18.0.0 |
Defined in GHC.TypeLits | |
| Lift Char | |
| Vector Vector Char | |
Defined in Data.Vector.Unboxed.Base Methods basicUnsafeFreeze :: Mutable Vector s Char -> ST s (Vector Char) # basicUnsafeThaw :: Vector Char -> ST s (Mutable Vector s Char) # basicLength :: Vector Char -> Int # basicUnsafeSlice :: Int -> Int -> Vector Char -> Vector Char # basicUnsafeIndexM :: Vector Char -> Int -> Box Char # basicUnsafeCopy :: Mutable Vector s Char -> Vector Char -> ST s () # | |
| MVector MVector Char | |
Defined in Data.Vector.Unboxed.Base Methods basicLength :: MVector s Char -> Int # basicUnsafeSlice :: Int -> Int -> MVector s Char -> MVector s Char # basicOverlaps :: MVector s Char -> MVector s Char -> Bool # basicUnsafeNew :: Int -> ST s (MVector s Char) # basicInitialize :: MVector s Char -> ST s () # basicUnsafeReplicate :: Int -> Char -> ST s (MVector s Char) # basicUnsafeRead :: MVector s Char -> Int -> ST s Char # basicUnsafeWrite :: MVector s Char -> Int -> Char -> ST s () # basicClear :: MVector s Char -> ST s () # basicSet :: MVector s Char -> Char -> ST s () # basicUnsafeCopy :: MVector s Char -> MVector s Char -> ST s () # basicUnsafeMove :: MVector s Char -> MVector s Char -> ST s () # basicUnsafeGrow :: MVector s Char -> Int -> ST s (MVector s Char) # | |
| KnownSymbol n => Reifies (n :: Symbol) String | |
Defined in Data.Reflection | |
| Cons Text Text Char Char | |
| Cons Text Text Char Char | |
| Snoc Text Text Char Char | |
| Snoc Text Text Char Char | |
| () :=> (Bounded Char) | |
| () :=> (Enum Char) | |
| () :=> (Read Char) | |
| () :=> (Show Char) | |
| () :=> (Ord Char) | |
| Generic1 (URec Char :: k -> Type) | |
| Foldable (UChar :: Type -> Type) | Since: base-4.9.0.0 |
Defined in Data.Foldable Methods fold :: Monoid m => UChar m -> m # foldMap :: Monoid m => (a -> m) -> UChar a -> m # foldMap' :: Monoid m => (a -> m) -> UChar a -> m # foldr :: (a -> b -> b) -> b -> UChar a -> b # foldr' :: (a -> b -> b) -> b -> UChar a -> b # foldl :: (b -> a -> b) -> b -> UChar a -> b # foldl' :: (b -> a -> b) -> b -> UChar a -> b # foldr1 :: (a -> a -> a) -> UChar a -> a # foldl1 :: (a -> a -> a) -> UChar a -> a # elem :: Eq a => a -> UChar a -> Bool # maximum :: Ord a => UChar a -> a # minimum :: Ord a => UChar a -> a # | |
| Traversable (UChar :: Type -> Type) | Since: base-4.9.0.0 |
| GShowX (UChar :: Type -> Type) Source # | |
| MArray (STUArray s) Char (ST s) | |
Defined in Data.Array.Base Methods getBounds :: Ix i => STUArray s i Char -> ST s (i, i) # getNumElements :: Ix i => STUArray s i Char -> ST s Int # newArray :: Ix i => (i, i) -> Char -> ST s (STUArray s i Char) # newArray_ :: Ix i => (i, i) -> ST s (STUArray s i Char) # unsafeNewArray_ :: Ix i => (i, i) -> ST s (STUArray s i Char) # unsafeRead :: Ix i => STUArray s i Char -> Int -> ST s Char # unsafeWrite :: Ix i => STUArray s i Char -> Int -> Char -> ST s () # | |
| Functor (URec Char :: Type -> Type) | Since: base-4.9.0.0 |
| Generic (URec Char p) | |
| Show (URec Char p) | Since: base-4.9.0.0 |
| Eq (URec Char p) | Since: base-4.9.0.0 |
| Ord (URec Char p) | Since: base-4.9.0.0 |
Defined in GHC.Generics | |
| type BitSize Char Source # | |
Defined in Clash.Class.BitPack.Internal | |
| newtype Vector Char | |
| data URec Char (p :: k) | Used for marking occurrences of Since: base-4.9.0.0 |
| newtype MVector s Char | |
| type Compare (a :: Char) (b :: Char) | |
Defined in Data.Type.Ord | |
| type Rep1 (URec Char :: k -> Type) | Since: base-4.9.0.0 |
Defined in GHC.Generics | |
| type Rep (URec Char p) | Since: base-4.9.0.0 |
Defined in GHC.Generics | |
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
| Arbitrary Double | |
| CoArbitrary Double | |
Defined in Test.QuickCheck.Arbitrary Methods coarbitrary :: Double -> Gen b -> Gen b # | |
| Data Double | 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) -> Double -> c Double # gunfold :: (forall b r. Data b => c (b -> r) -> c r) -> (forall r. r -> c r) -> Constr -> c Double # toConstr :: Double -> Constr # dataTypeOf :: Double -> DataType # dataCast1 :: Typeable t => (forall d. Data d => c (t d)) -> Maybe (c Double) # dataCast2 :: Typeable t => (forall d e. (Data d, Data e) => c (t d e)) -> Maybe (c Double) # gmapT :: (forall b. Data b => b -> b) -> Double -> Double # gmapQl :: (r -> r' -> r) -> r -> (forall d. Data d => d -> r') -> Double -> r # gmapQr :: forall r r'. (r' -> r -> r) -> r -> (forall d. Data d => d -> r') -> Double -> r # gmapQ :: (forall d. Data d => d -> u) -> Double -> [u] # gmapQi :: Int -> (forall d. Data d => d -> u) -> Double -> u # gmapM :: Monad m => (forall d. Data d => d -> m d) -> Double -> m Double # gmapMp :: MonadPlus m => (forall d. Data d => d -> m d) -> Double -> m Double # gmapMo :: MonadPlus m => (forall d. Data d => d -> m d) -> Double -> m Double # | |
| Floating Double | Since: base-2.1 |
| RealFloat Double | Since: base-2.1 |
Defined in GHC.Float Methods floatRadix :: Double -> Integer # floatDigits :: Double -> Int # floatRange :: Double -> (Int, Int) # decodeFloat :: Double -> (Integer, Int) # encodeFloat :: Integer -> Int -> Double # significand :: Double -> Double # scaleFloat :: Int -> Double -> Double # isInfinite :: Double -> Bool # isDenormalized :: Double -> Bool # isNegativeZero :: Double -> Bool # | |
| Read Double | Since: base-2.1 |
| PrintfArg Double | Since: base-2.1 |
Defined in Text.Printf | |
| Binary Double | |
| AutoReg Double Source # | |
Defined in Clash.Class.AutoReg.Internal | |
| BitPack Double Source # | |
| Bundle Double Source # | |
| Bundle Double Source # | |
Defined in Clash.Signal.Delayed.Bundle | |
| NFDataX Double Source # | |
Defined in Clash.XException | |
| ShowX Double Source # | |
| Default Double | |
Defined in Data.Default.Internal | |
| NFData Double | |
Defined in Control.DeepSeq | |
| Eq Double | Note that due to the presence of
Also note that
|
| Ord Double | Note that due to the presence of
Also note that, due to the same,
|
| Hashable Double | Note: prior to The Since: hashable-1.3.0.0 |
Defined in Data.Hashable.Class | |
| UniformRange Double | |
| Unbox Double | |
Defined in Data.Vector.Unboxed.Base | |
| IArray UArray Double | |
Defined in Data.Array.Base Methods bounds :: Ix i => UArray i Double -> (i, i) # numElements :: Ix i => UArray i Double -> Int # unsafeArray :: Ix i => (i, i) -> [(Int, Double)] -> UArray i Double # unsafeAt :: Ix i => UArray i Double -> Int -> Double # unsafeReplace :: Ix i => UArray i Double -> [(Int, Double)] -> UArray i Double # unsafeAccum :: Ix i => (Double -> e' -> Double) -> UArray i Double -> [(Int, e')] -> UArray i Double # unsafeAccumArray :: Ix i => (Double -> e' -> Double) -> Double -> (i, i) -> [(Int, e')] -> UArray i Double # | |
| Lift Double | |
| Vector Vector Double | |
Defined in Data.Vector.Unboxed.Base Methods basicUnsafeFreeze :: Mutable Vector s Double -> ST s (Vector Double) # basicUnsafeThaw :: Vector Double -> ST s (Mutable Vector s Double) # basicLength :: Vector Double -> Int # basicUnsafeSlice :: Int -> Int -> Vector Double -> Vector Double # basicUnsafeIndexM :: Vector Double -> Int -> Box Double # basicUnsafeCopy :: Mutable Vector s Double -> Vector Double -> ST s () # | |
| MVector MVector Double | |
Defined in Data.Vector.Unboxed.Base Methods basicLength :: MVector s Double -> Int # basicUnsafeSlice :: Int -> Int -> MVector s Double -> MVector s Double # basicOverlaps :: MVector s Double -> MVector s Double -> Bool # basicUnsafeNew :: Int -> ST s (MVector s Double) # basicInitialize :: MVector s Double -> ST s () # basicUnsafeReplicate :: Int -> Double -> ST s (MVector s Double) # basicUnsafeRead :: MVector s Double -> Int -> ST s Double # basicUnsafeWrite :: MVector s Double -> Int -> Double -> ST s () # basicClear :: MVector s Double -> ST s () # basicSet :: MVector s Double -> Double -> ST s () # basicUnsafeCopy :: MVector s Double -> MVector s Double -> ST s () # basicUnsafeMove :: MVector s Double -> MVector s Double -> ST s () # basicUnsafeGrow :: MVector s Double -> Int -> ST s (MVector s Double) # | |
| () :=> (Enum Double) | |
| () :=> (Floating Double) | |
| () :=> (RealFloat Double) | |
| () :=> (Num Double) | |
| () :=> (Fractional Double) | |
Defined in Data.Constraint Methods ins :: () :- Fractional Double # | |
| () :=> (Real Double) | |
| () :=> (RealFrac Double) | |
| () :=> (Eq Double) | |
| () :=> (Ord Double) | |
| Generic1 (URec Double :: k -> Type) | |
| Foldable (UDouble :: Type -> Type) | Since: base-4.9.0.0 |
Defined in Data.Foldable Methods fold :: Monoid m => UDouble m -> m # foldMap :: Monoid m => (a -> m) -> UDouble a -> m # foldMap' :: Monoid m => (a -> m) -> UDouble a -> m # foldr :: (a -> b -> b) -> b -> UDouble a -> b # foldr' :: (a -> b -> b) -> b -> UDouble a -> b # foldl :: (b -> a -> b) -> b -> UDouble a -> b # foldl' :: (b -> a -> b) -> b -> UDouble a -> b # foldr1 :: (a -> a -> a) -> UDouble a -> a # foldl1 :: (a -> a -> a) -> UDouble a -> a # elem :: Eq a => a -> UDouble a -> Bool # maximum :: Ord a => UDouble a -> a # minimum :: Ord a => UDouble a -> a # | |
| Traversable (UDouble :: Type -> Type) | Since: base-4.9.0.0 |
| GShowX (UDouble :: Type -> Type) Source # | |
| MArray (STUArray s) Double (ST s) | |
Defined in Data.Array.Base Methods getBounds :: Ix i => STUArray s i Double -> ST s (i, i) # getNumElements :: Ix i => STUArray s i Double -> ST s Int # newArray :: Ix i => (i, i) -> Double -> ST s (STUArray s i Double) # newArray_ :: Ix i => (i, i) -> ST s (STUArray s i Double) # unsafeNewArray_ :: Ix i => (i, i) -> ST s (STUArray s i Double) # unsafeRead :: Ix i => STUArray s i Double -> Int -> ST s Double # unsafeWrite :: Ix i => STUArray s i Double -> Int -> Double -> ST s () # | |
| Functor (URec Double :: Type -> Type) | Since: base-4.9.0.0 |
| Generic (URec Double p) | |
| Show (URec Double p) | Since: base-4.9.0.0 |
| Eq (URec Double p) | Since: base-4.9.0.0 |
| Ord (URec Double p) | Since: base-4.9.0.0 |
Defined in GHC.Generics Methods compare :: URec Double p -> URec Double p -> Ordering # (<) :: URec Double p -> URec Double p -> Bool # (<=) :: URec Double p -> URec Double p -> Bool # (>) :: URec Double p -> URec Double p -> Bool # (>=) :: URec Double p -> URec Double p -> Bool # | |
| type BitSize Double Source # | |
Defined in Clash.Class.BitPack.Internal | |
| newtype Vector Double | |
| data URec Double (p :: k) | Used for marking occurrences of Since: base-4.9.0.0 |
| type TryDomain t Double Source # | |
Defined in Clash.Class.HasDomain.HasSingleDomain | |
| type Unbundled dom Double Source # | |
Defined in Clash.Signal.Bundle | |
| newtype MVector s Double | |
| type Unbundled dom d Double Source # | |
Defined in Clash.Signal.Delayed.Bundle | |
| type Rep1 (URec Double :: k -> Type) | Since: base-4.9.0.0 |
Defined in GHC.Generics | |
| type Rep (URec Double p) | Since: base-4.9.0.0 |
Defined in GHC.Generics | |
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
| Arbitrary Float | |
| CoArbitrary Float | |
Defined in Test.QuickCheck.Arbitrary Methods coarbitrary :: Float -> Gen b -> Gen b # | |
| Data Float | 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) -> Float -> c Float # gunfold :: (forall b r. Data b => c (b -> r) -> c r) -> (forall r. r -> c r) -> Constr -> c Float # dataTypeOf :: Float -> DataType # dataCast1 :: Typeable t => (forall d. Data d => c (t d)) -> Maybe (c Float) # dataCast2 :: Typeable t => (forall d e. (Data d, Data e) => c (t d e)) -> Maybe (c Float) # gmapT :: (forall b. Data b => b -> b) -> Float -> Float # gmapQl :: (r -> r' -> r) -> r -> (forall d. Data d => d -> r') -> Float -> r # gmapQr :: forall r r'. (r' -> r -> r) -> r -> (forall d. Data d => d -> r') -> Float -> r # gmapQ :: (forall d. Data d => d -> u) -> Float -> [u] # gmapQi :: Int -> (forall d. Data d => d -> u) -> Float -> u # gmapM :: Monad m => (forall d. Data d => d -> m d) -> Float -> m Float # gmapMp :: MonadPlus m => (forall d. Data d => d -> m d) -> Float -> m Float # gmapMo :: MonadPlus m => (forall d. Data d => d -> m d) -> Float -> m Float # | |
| Floating Float | Since: base-2.1 |
| RealFloat Float | Since: base-2.1 |
Defined in GHC.Float Methods floatRadix :: Float -> Integer # floatDigits :: Float -> Int # floatRange :: Float -> (Int, Int) # decodeFloat :: Float -> (Integer, Int) # encodeFloat :: Integer -> Int -> Float # significand :: Float -> Float # scaleFloat :: Int -> Float -> Float # isInfinite :: Float -> Bool # isDenormalized :: Float -> Bool # isNegativeZero :: Float -> Bool # | |
| Read Float | Since: base-2.1 |
| PrintfArg Float | Since: base-2.1 |
Defined in Text.Printf | |
| Binary Float | |
| AutoReg Float Source # | |
Defined in Clash.Class.AutoReg.Internal | |
| BitPack Float Source # | |
| Bundle Float Source # | |
| Bundle Float Source # | |
Defined in Clash.Signal.Delayed.Bundle | |
| NFDataX Float Source # | |
Defined in Clash.XException | |
| ShowX Float Source # | |
| Default Float | |
Defined in Data.Default.Internal | |
| NFData Float | |
Defined in Control.DeepSeq | |
| Eq Float | Note that due to the presence of
Also note that
|
| Ord Float | Note that due to the presence of
Also note that, due to the same,
|
| Hashable Float | Note: prior to The Since: hashable-1.3.0.0 |
Defined in Data.Hashable.Class | |
| UniformRange Float | |
| Unbox Float | |
Defined in Data.Vector.Unboxed.Base | |
| IArray UArray Float | |
Defined in Data.Array.Base Methods bounds :: Ix i => UArray i Float -> (i, i) # numElements :: Ix i => UArray i Float -> Int # unsafeArray :: Ix i => (i, i) -> [(Int, Float)] -> UArray i Float # unsafeAt :: Ix i => UArray i Float -> Int -> Float # unsafeReplace :: Ix i => UArray i Float -> [(Int, Float)] -> UArray i Float # unsafeAccum :: Ix i => (Float -> e' -> Float) -> UArray i Float -> [(Int, e')] -> UArray i Float # unsafeAccumArray :: Ix i => (Float -> e' -> Float) -> Float -> (i, i) -> [(Int, e')] -> UArray i Float # | |
| Lift Float | |
| Vector Vector Float | |
Defined in Data.Vector.Unboxed.Base Methods basicUnsafeFreeze :: Mutable Vector s Float -> ST s (Vector Float) # basicUnsafeThaw :: Vector Float -> ST s (Mutable Vector s Float) # basicLength :: Vector Float -> Int # basicUnsafeSlice :: Int -> Int -> Vector Float -> Vector Float # basicUnsafeIndexM :: Vector Float -> Int -> Box Float # basicUnsafeCopy :: Mutable Vector s Float -> Vector Float -> ST s () # | |
| MVector MVector Float | |
Defined in Data.Vector.Unboxed.Base Methods basicLength :: MVector s Float -> Int # basicUnsafeSlice :: Int -> Int -> MVector s Float -> MVector s Float # basicOverlaps :: MVector s Float -> MVector s Float -> Bool # basicUnsafeNew :: Int -> ST s (MVector s Float) # basicInitialize :: MVector s Float -> ST s () # basicUnsafeReplicate :: Int -> Float -> ST s (MVector s Float) # basicUnsafeRead :: MVector s Float -> Int -> ST s Float # basicUnsafeWrite :: MVector s Float -> Int -> Float -> ST s () # basicClear :: MVector s Float -> ST s () # basicSet :: MVector s Float -> Float -> ST s () # basicUnsafeCopy :: MVector s Float -> MVector s Float -> ST s () # basicUnsafeMove :: MVector s Float -> MVector s Float -> ST s () # basicUnsafeGrow :: MVector s Float -> Int -> ST s (MVector s Float) # | |
| () :=> (Enum Float) | |
| () :=> (Floating Float) | |
| () :=> (RealFloat Float) | |
| () :=> (Num Float) | |
| () :=> (Fractional Float) | |
Defined in Data.Constraint Methods ins :: () :- Fractional Float # | |
| () :=> (Real Float) | |
| () :=> (RealFrac Float) | |
| () :=> (Eq Float) | |
| () :=> (Ord Float) | |
| Generic1 (URec Float :: k -> Type) | |
| Foldable (UFloat :: Type -> Type) | Since: base-4.9.0.0 |
Defined in Data.Foldable Methods fold :: Monoid m => UFloat m -> m # foldMap :: Monoid m => (a -> m) -> UFloat a -> m # foldMap' :: Monoid m => (a -> m) -> UFloat a -> m # foldr :: (a -> b -> b) -> b -> UFloat a -> b # foldr' :: (a -> b -> b) -> b -> UFloat a -> b # foldl :: (b -> a -> b) -> b -> UFloat a -> b # foldl' :: (b -> a -> b) -> b -> UFloat a -> b # foldr1 :: (a -> a -> a) -> UFloat a -> a # foldl1 :: (a -> a -> a) -> UFloat a -> a # elem :: Eq a => a -> UFloat a -> Bool # maximum :: Ord a => UFloat a -> a # minimum :: Ord a => UFloat a -> a # | |
| Traversable (UFloat :: Type -> Type) | Since: base-4.9.0.0 |
| GShowX (UFloat :: Type -> Type) Source # | |
| MArray (STUArray s) Float (ST s) | |
Defined in Data.Array.Base Methods getBounds :: Ix i => STUArray s i Float -> ST s (i, i) # getNumElements :: Ix i => STUArray s i Float -> ST s Int # newArray :: Ix i => (i, i) -> Float -> ST s (STUArray s i Float) # newArray_ :: Ix i => (i, i) -> ST s (STUArray s i Float) # unsafeNewArray_ :: Ix i => (i, i) -> ST s (STUArray s i Float) # unsafeRead :: Ix i => STUArray s i Float -> Int -> ST s Float # unsafeWrite :: Ix i => STUArray s i Float -> Int -> Float -> ST s () # | |
| Functor (URec Float :: Type -> Type) | Since: base-4.9.0.0 |
| Generic (URec Float p) | |
| Show (URec Float p) | |
| Eq (URec Float p) | |
| Ord (URec Float p) | |
Defined in GHC.Generics | |
| type BitSize Float Source # | |
Defined in Clash.Class.BitPack.Internal | |
| newtype Vector Float | |
| data URec Float (p :: k) | Used for marking occurrences of Since: base-4.9.0.0 |
| type TryDomain t Float Source # | |
Defined in Clash.Class.HasDomain.HasSingleDomain | |
| type Unbundled dom Float Source # | |
Defined in Clash.Signal.Bundle | |
| newtype MVector s Float | |
| type Unbundled dom d Float Source # | |
Defined in Clash.Signal.Delayed.Bundle | |
| type Rep1 (URec Float :: k -> Type) | Since: base-4.9.0.0 |
Defined in GHC.Generics | |
| type Rep (URec Float p) | |
Defined in GHC.Generics | |
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
Instances
Instances
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
| Arbitrary1 Maybe | |
Defined in Test.QuickCheck.Arbitrary | |
| MonadFail Maybe | Since: base-4.9.0.0 |
Defined in Control.Monad.Fail | |
| 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 # 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 | Picks the leftmost Since: base-2.1 |
| Applicative Maybe | Since: base-2.1 |
| Functor Maybe | Since: base-2.1 |
| Monad Maybe | Since: base-2.1 |
| MonadPlus Maybe | Picks the leftmost Since: base-2.1 |
| NFData1 Maybe | Since: deepseq-1.4.3.0 |
Defined in Control.DeepSeq | |
| Hashable1 Maybe | |
Defined in Data.Hashable.Class | |
| Generic1 Maybe | |
| FoldableWithIndex () Maybe | |
| FunctorWithIndex () Maybe | |
| TraversableWithIndex () Maybe | |
| () :=> (Alternative Maybe) | |
Defined in Data.Constraint Methods ins :: () :- Alternative Maybe # | |
| () :=> (Applicative Maybe) | |
Defined in Data.Constraint Methods ins :: () :- Applicative Maybe # | |
| () :=> (Functor Maybe) | |
| () :=> (MonadPlus Maybe) | |
| Lift a => Lift (Maybe a :: Type) | |
| Arbitrary a => Arbitrary (Maybe a) | |
| CoArbitrary a => CoArbitrary (Maybe a) | |
Defined in Test.QuickCheck.Arbitrary Methods coarbitrary :: Maybe a -> Gen b -> Gen b # | |
| Testable prop => Testable (Maybe prop) | |
| 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 :: forall r r'. (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) # | |
| Semigroup a => Monoid (Maybe a) | Lift a semigroup into Since 4.11.0: constraint on inner Since: base-2.1 |
| Semigroup a => Semigroup (Maybe a) | Since: base-4.9.0.0 |
| Generic (Maybe a) | |
| SingKind a => SingKind (Maybe a) | Since: base-4.9.0.0 |
Defined in GHC.Generics Associated Types type DemoteRep (Maybe a) | |
| Read a => Read (Maybe a) | Since: base-2.1 |
| Show a => Show (Maybe a) | Since: base-2.1 |
| Binary a => Binary (Maybe a) | |
| AutoReg a => AutoReg (Maybe a) Source # | |
Defined in Clash.Class.AutoReg.Internal | |
| BitPack a => BitPack (Maybe a) Source # | |
| Counter a => Counter (Maybe a) Source # |
Since: 1.8.2 |
| Bundle (Maybe a) Source # | |
| Bundle (Maybe a) Source # | |
Defined in Clash.Signal.Delayed.Bundle | |
| NFDataX a => NFDataX (Maybe a) Source # | |
Defined in Clash.XException | |
| ShowX a => ShowX (Maybe a) Source # | |
| Default (Maybe a) | |
Defined in Data.Default.Internal | |
| NFData a => NFData (Maybe a) | |
Defined in Control.DeepSeq | |
| Eq a => Eq (Maybe a) | Since: base-2.1 |
| Ord a => Ord (Maybe a) | Since: base-2.1 |
| Hashable a => Hashable (Maybe a) | |
Defined in Data.Hashable.Class | |
| At (Maybe a) | |
| Ixed (Maybe a) | |
Defined in Control.Lens.At | |
| AsEmpty (Maybe a) | |
Defined in Control.Lens.Empty | |
| (Finite a, Uniform a) => Uniform (Maybe a) | |
Defined in System.Random.Internal Methods uniformM :: StatefulGen g m => g -> m (Maybe a) # | |
| Corecursive (Maybe a) | |
Defined in Data.Functor.Foldable Methods embed :: Base (Maybe a) (Maybe a) -> Maybe a # ana :: (a0 -> Base (Maybe a) a0) -> a0 -> Maybe a # apo :: (a0 -> Base (Maybe a) (Either (Maybe a) a0)) -> a0 -> Maybe a # postpro :: Recursive (Maybe a) => (forall b. Base (Maybe a) b -> Base (Maybe a) b) -> (a0 -> Base (Maybe a) a0) -> a0 -> Maybe a # gpostpro :: (Recursive (Maybe a), Monad m) => (forall b. m (Base (Maybe a) b) -> Base (Maybe a) (m b)) -> (forall c. Base (Maybe a) c -> Base (Maybe a) c) -> (a0 -> Base (Maybe a) (m a0)) -> a0 -> Maybe a # | |
| Recursive (Maybe a) | |
Defined in Data.Functor.Foldable Methods project :: Maybe a -> Base (Maybe a) (Maybe a) # cata :: (Base (Maybe a) a0 -> a0) -> Maybe a -> a0 # para :: (Base (Maybe a) (Maybe a, a0) -> a0) -> Maybe a -> a0 # gpara :: (Corecursive (Maybe a), Comonad w) => (forall b. Base (Maybe a) (w b) -> w (Base (Maybe a) b)) -> (Base (Maybe a) (EnvT (Maybe a) w a0) -> a0) -> Maybe a -> a0 # prepro :: Corecursive (Maybe a) => (forall b. Base (Maybe a) b -> Base (Maybe a) b) -> (Base (Maybe a) a0 -> a0) -> Maybe a -> a0 # gprepro :: (Corecursive (Maybe a), Comonad w) => (forall b. Base (Maybe a) (w b) -> w (Base (Maybe a) b)) -> (forall c. Base (Maybe a) c -> Base (Maybe a) c) -> (Base (Maybe a) (w a0) -> a0) -> Maybe a -> a0 # | |
| SingI ('Nothing :: Maybe a) | Since: base-4.9.0.0 |
Defined in GHC.Generics | |
| (Monoid a) :=> (Monoid (Maybe a)) | |
| (Semigroup a) :=> (Semigroup (Maybe a)) | |
| (Read a) :=> (Read (Maybe a)) | |
| (Show a) :=> (Show (Maybe a)) | |
| (Eq a) :=> (Eq (Maybe a)) | |
| (Ord a) :=> (Ord (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 | |
| type Rep1 Maybe | Since: base-4.6.0.0 |
| type Unbundled dom d (Maybe a) Source # | |
Defined in Clash.Signal.Delayed.Bundle | |
| type TryDomain t (Maybe a) Source # | |
Defined in Clash.Class.HasDomain.HasSingleDomain | |
| type Unbundled dom (Maybe a) Source # | |
Defined in Clash.Signal.Bundle | |
| type Eval (FoldMap f ('Just x) :: a2 -> Type) | |
| type Eval (FoldMap f ('Nothing :: Maybe a1) :: a2 -> Type) | |
| type Eval (Foldr f y ('Just x) :: a2 -> Type) | |
| type Eval (Foldr f y ('Nothing :: Maybe a1) :: a2 -> Type) | |
| type DemoteRep (Maybe a) | |
Defined in GHC.Generics | |
| type Rep (Maybe a) | Since: base-4.6.0.0 |
Defined in GHC.Generics | |
| data Sing (b :: Maybe a) | |
| type BitSize (Maybe a) Source # | |
Defined in Clash.Class.BitPack.Internal | |
| type MEmpty | |
Defined in Fcf.Class.Monoid | |
| type Index (Maybe a) | |
Defined in Control.Lens.At | |
| type IxValue (Maybe a) | |
Defined in Control.Lens.At | |
| type Base (Maybe a) | Example boring stub for non-recursive data types |
| type (a2 :: Maybe a1) <> ('Nothing :: Maybe a1) | |
Defined in Fcf.Class.Monoid | |
| type ('Nothing :: Maybe a) <> (b :: Maybe a) | |
Defined in Fcf.Class.Monoid | |
| type Eval (Unsnoc (x ': (y ': ys)) :: Maybe ([a], a) -> Type) | |
| type Eval (Unsnoc ('[] :: [a]) :: Maybe ([a], a) -> Type) | |
| type Eval (Unsnoc '[x] :: Maybe ([k], k) -> Type) | |
| type Eval (Uncons ('[] :: [a]) :: Maybe (a, [a]) -> Type) | |
| type Eval (Uncons (a ': xs) :: Maybe (k, [k]) -> Type) | |
| type Eval (Init ('[] :: [a]) :: Maybe [a] -> Type) | |
| type Eval (Tail (_a ': as) :: Maybe [a] -> Type) | |
| type Eval (Tail ('[] :: [a]) :: Maybe [a] -> Type) | |
| type Eval (Init (a2 ': (b ': as)) :: Maybe [a1] -> Type) | |
| type Eval (Init '[a2] :: Maybe [a1] -> Type) | |
| type Eval (Head ('[] :: [a]) :: Maybe a -> Type) | |
| type Eval (Last ('[] :: [a]) :: Maybe a -> Type) | |
| type Eval (Head (a2 ': _as) :: Maybe a1 -> Type) | |
| type Eval (Last (a2 ': (b ': as)) :: Maybe a1 -> Type) | |
| type Eval (Last '[a2] :: Maybe a1 -> Type) | |
| type ('Just a2 :: Maybe a1) <> ('Just b :: Maybe a1) | |
| type Eval (FindIndex _p ('[] :: [a]) :: Maybe Nat -> Type) | |
| type Eval (FindIndex p (a2 ': as) :: Maybe Nat -> Type) | |
| type Eval (NumIter a s :: Maybe (k, Nat) -> Type) | |
| type Eval (Find _p ('[] :: [a]) :: Maybe a -> Type) | |
| type Eval (Find p (a2 ': as) :: Maybe a1 -> Type) | |
| type Eval (Lookup a as :: Maybe b -> Type) | |
| type Eval (Map f ('Just a3) :: Maybe a2 -> Type) | |
| type Eval (Map f ('Nothing :: Maybe a) :: Maybe b -> Type) | |
class a ~# b => (a :: k) ~ (b :: k) infix 4 #
Lifted, homogeneous equality. By lifted, we mean that it
can be bogus (deferred type error). By homogeneous, the two
types a and b must have the same kinds.
Arbitrary precision integers. In contrast with fixed-size integral types
such as Int, the Integer type represents the entire infinite range of
integers.
Integers are stored in a kind of sign-magnitude form, hence do not expect two's complement form when using bit operations.
If the value is small (fit into an Int), IS constructor is used.
Otherwise Integer and IN constructors are used to store a BigNat
representing respectively the positive or the negative value magnitude.
Invariant: Integer and IN are used iff value doesn't fit in IS
Instances
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
Arguments
| :: Int | the operator precedence of the enclosing
context (a number from |
| -> a | the value to be converted to a |
| -> ShowS |
Convert a value to a readable String.
showsPrec should satisfy the law
showsPrec d x r ++ s == showsPrec d x (r ++ s)
Derived instances of Read and Show satisfy the following:
That is, readsPrec parses the string produced by
showsPrec, and delivers the value that showsPrec started with.
Instances
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
| Bounded All | Since: base-2.1 |
| Bounded Any | Since: base-2.1 |
| Bounded CBool | |
| Bounded CChar | |
| Bounded CInt | |
| Bounded CIntMax | |
| Bounded CIntPtr | |
| Bounded CLLong | |
| Bounded CLong | |
| Bounded CPtrdiff | |
| Bounded CSChar | |
| Bounded CShort | |
| Bounded CSigAtomic | |
Defined in Foreign.C.Types | |
| Bounded CSize | |
| Bounded CUChar | |
| Bounded CUInt | |
| Bounded CUIntMax | |
| Bounded CUIntPtr | |
| Bounded CULLong | |
| Bounded CULong | |
| Bounded CUShort | |
| Bounded CWchar | |
| Bounded Associativity | Since: base-4.9.0.0 |
Defined in GHC.Generics | |
| Bounded DecidedStrictness | Since: base-4.9.0.0 |
Defined in GHC.Generics | |
| Bounded SourceStrictness | Since: base-4.9.0.0 |
Defined in GHC.Generics | |
| Bounded SourceUnpackedness | Since: base-4.9.0.0 |
Defined in GHC.Generics | |
| Bounded Int16 | Since: base-2.1 |
| Bounded Int32 | Since: base-2.1 |
| Bounded Int64 | Since: base-2.1 |
| Bounded Int8 | Since: base-2.1 |
| Bounded GeneralCategory | Since: base-2.1 |
Defined in GHC.Unicode | |
| Bounded Word16 | Since: base-2.1 |
| Bounded Word32 | Since: base-2.1 |
| Bounded Word64 | Since: base-2.1 |
| Bounded Word8 | Since: base-2.1 |
| Bounded HDL Source # | |
| Bounded SaturationMode Source # | |
Defined in Clash.Class.Num | |
| Bounded Bit Source # | |
| Bounded Extension | |
| Bounded Ordering | Since: base-2.1 |
| Bounded () | Since: base-2.1 |
| Bounded Bool | Since: base-2.1 |
| Bounded Char | Since: base-2.1 |
| Bounded Int | Since: base-2.1 |
| Bounded Levity | Since: base-4.16.0.0 |
| Bounded VecCount | Since: base-4.10.0.0 |
| Bounded VecElem | Since: base-4.10.0.0 |
| Bounded Word | Since: base-2.1 |
| () :=> (Bounded Ordering) | |
| () :=> (Bounded ()) | |
Defined in Data.Constraint | |
| () :=> (Bounded Bool) | |
| () :=> (Bounded Char) | |
| () :=> (Bounded Int) | |
| () :=> (Bounded Word) | |
| a :=> (Bounded (Dict a)) | |
| Class () (Bounded a) | |
Defined in Data.Constraint | |
| Bounded a => Bounded (And a) | Since: base-4.16 |
| Bounded a => Bounded (Iff a) | Since: base-4.16 |
| Bounded a => Bounded (Ior a) | Since: base-4.16 |
| Bounded a => Bounded (Xor a) | Since: base-4.16 |
| Bounded a => Bounded (Identity a) | Since: base-4.9.0.0 |
| Bounded a => Bounded (Down a) | Swaps Since: base-4.14.0.0 |
| Bounded a => Bounded (First a) | Since: base-4.9.0.0 |
| Bounded a => Bounded (Last a) | Since: base-4.9.0.0 |
| Bounded a => Bounded (Max a) | Since: base-4.9.0.0 |
| Bounded a => Bounded (Min a) | Since: base-4.9.0.0 |
| Bounded m => Bounded (WrappedMonoid m) | Since: base-4.9.0.0 |
Defined in Data.Semigroup | |
| Bounded a => Bounded (Dual a) | Since: base-2.1 |
| Bounded a => Bounded (Product a) | Since: base-2.1 |
| Bounded a => Bounded (Sum a) | Since: base-2.1 |
| Bounded a => Bounded (Erroring a) Source # | |
| Bounded a => Bounded (Overflowing a) Source # | |
Defined in Clash.Num.Overflowing | |
| Bounded a => Bounded (Saturating a) Source # | |
Defined in Clash.Num.Saturating | |
| Bounded a => Bounded (Wrapping a) Source # | |
| Bounded a => Bounded (Zeroing a) Source # | |
| KnownNat n => Bounded (BitVector n) Source # | |
| KnownNat n => Bounded (Index n) Source # | |
| KnownNat n => Bounded (Signed n) Source # | |
| KnownNat n => Bounded (Unsigned n) Source # | |
| a => Bounded (Dict a) | |
| Bounded a => Bounded (a) | |
| (Bounded a) :=> (Bounded (Const a b)) | |
| (Bounded a) :=> (Bounded (Identity a)) | |
| Bounded (Proxy t) | Since: base-4.7.0.0 |
| (Bounded a, Bounded b) => Bounded (Pair a b) | |
| (Bounded a, Bounded b) => Bounded (a, b) | Since: base-2.1 |
| (Bounded a, Bounded b) :=> (Bounded (a, b)) | |
| Bounded a => Bounded (Const a b) | Since: base-4.9.0.0 |
| (Applicative f, Bounded a) => Bounded (Ap f a) | Since: base-4.12.0.0 |
| a ~ b => Bounded (a :~: b) | Since: base-4.7.0.0 |
| Bounded (rep (int + frac)) => Bounded (Fixed rep int frac) Source # | |
| Bounded b => Bounded (Tagged s b) | |
| (Bounded a, Bounded b, Bounded c) => Bounded (a, b, c) | Since: base-2.1 |
| a ~~ b => Bounded (a :~~: b) | Since: base-4.10.0.0 |
| (Bounded a, Bounded b, Bounded c, Bounded d) => Bounded (a, b, c, d) | Since: base-2.1 |
| (Bounded a, Bounded b, Bounded c, Bounded d, Bounded e) => Bounded (a, b, c, d, e) | Since: base-2.1 |
| (Bounded a, Bounded b, Bounded c, Bounded d, Bounded e, Bounded f) => Bounded (a, b, c, d, e, f) | Since: base-2.1 |
| (Bounded a, Bounded b, Bounded c, Bounded d, Bounded e, Bounded f, Bounded g) => Bounded (a, b, c, d, e, f, g) | Since: base-2.1 |
| (Bounded a, Bounded b, Bounded c, Bounded d, Bounded e, Bounded f, Bounded g, Bounded h) => Bounded (a, b, c, d, e, f, g, h) | Since: base-2.1 |
| (Bounded a, Bounded b, Bounded c, Bounded d, Bounded e, Bounded f, Bounded g, Bounded h, Bounded i) => Bounded (a, b, c, d, e, f, g, h, i) | Since: base-2.1 |
| (Bounded a, Bounded b, Bounded c, Bounded d, Bounded e, Bounded f, Bounded g, Bounded h, Bounded i, Bounded j) => Bounded (a, b, c, d, e, f, g, h, i, j) | Since: base-2.1 |
| (Bounded a, Bounded b, Bounded c, Bounded d, Bounded e, Bounded f, Bounded g, Bounded h, Bounded i, Bounded j, Bounded k) => Bounded (a, b, c, d, e, f, g, h, i, j, k) | Since: base-2.1 |
| (Bounded a, Bounded b, Bounded c, Bounded d, Bounded e, Bounded f, Bounded g, Bounded h, Bounded i, Bounded j, Bounded k, Bounded l) => Bounded (a, b, c, d, e, f, g, h, i, j, k, l) | Since: base-2.1 |
| (Bounded a, Bounded b, Bounded c, Bounded d, Bounded e, Bounded f, Bounded g, Bounded h, Bounded i, Bounded j, Bounded k, Bounded l, Bounded m) => Bounded (a, b, c, d, e, f, g, h, i, j, k, l, m) | Since: base-2.1 |
| (Bounded a, Bounded b, Bounded c, Bounded d, Bounded e, Bounded f, Bounded g, Bounded h, Bounded i, Bounded j, Bounded k, Bounded l, Bounded m, Bounded n) => Bounded (a, b, c, d, e, f, g, h, i, j, k, l, m, n) | Since: base-2.1 |
| (Bounded a, Bounded b, Bounded c, Bounded d, Bounded e, Bounded f, Bounded g, Bounded h, Bounded i, Bounded j, Bounded k, Bounded l, Bounded m, Bounded n, Bounded o) => Bounded (a, b, c, d, e, f, g, h, i, j, k, l, m, n, o) | Since: base-2.1 |
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..] with [n..] = enumFrom n,
a possible implementation being enumFrom n = n : enumFrom (succ n).
For example:
enumFrom 4 :: [Integer] = [4,5,6,7,...]
enumFrom 6 :: [Int] = [6,7,8,9,...,maxBound :: Int]
enumFromThen :: a -> a -> [a] #
Used in Haskell's translation of [n,n'..]
with [n,n'..] = enumFromThen n n', a possible implementation being
enumFromThen n n' = n : n' : worker (f x) (f x n'),
worker s v = v : worker s (s v), x = fromEnum n' - fromEnum n and
f n y
| n > 0 = f (n - 1) (succ y)
| n < 0 = f (n + 1) (pred y)
| otherwise = y
For example:
enumFromThen 4 6 :: [Integer] = [4,6,8,10...]
enumFromThen 6 2 :: [Int] = [6,2,-2,-6,...,minBound :: Int]
enumFromTo :: a -> a -> [a] #
Used in Haskell's translation of [n..m] with
[n..m] = enumFromTo n m, a possible implementation being
enumFromTo n m
| n <= m = n : enumFromTo (succ n) m
| otherwise = [].
For example:
enumFromTo 6 10 :: [Int] = [6,7,8,9,10]
enumFromTo 42 1 :: [Integer] = []
enumFromThenTo :: a -> a -> a -> [a] #
Used in Haskell's translation of [n,n'..m] with
[n,n'..m] = enumFromThenTo n n' m, a possible implementation
being enumFromThenTo n n' m = worker (f x) (c x) n m,
x = fromEnum n' - fromEnum n, c x = bool (>=) ((x 0)
f n y
| n > 0 = f (n - 1) (succ y)
| n < 0 = f (n + 1) (pred y)
| otherwise = y and
worker s c v m
| c v m = v : worker s c (s v) m
| otherwise = []
For example:
enumFromThenTo 4 2 -6 :: [Integer] = [4,2,0,-2,-4,-6]
enumFromThenTo 6 8 2 :: [Int] = []
Instances
class (Real a, Enum a) => Integral a where #
Integral numbers, supporting integer division.
The Haskell Report defines no laws for Integral. However, Integral
instances are customarily expected to define a Euclidean domain and have the
following properties for the div/mod and quot/rem pairs, given
suitable Euclidean functions f and g:
x=y * quot x y + rem x ywithrem x y=fromInteger 0org (rem x y)<g yx=y * div x y + mod x ywithmod x y=fromInteger 0orf (mod x y)<f y
An example of a suitable Euclidean function, for Integer's instance, is
abs.
In addition, toInteger should be total, and fromInteger should be a left
inverse for it, i.e. fromInteger (toInteger i) = i.
Methods
quot :: a -> a -> a infixl 7 #
integer division truncated toward zero
WARNING: This function is partial (because it throws when 0 is passed as
the divisor) for all the integer types in base.
integer remainder, satisfying
(x `quot` y)*y + (x `rem` y) == x
WARNING: This function is partial (because it throws when 0 is passed as
the divisor) for all the integer types in base.
integer division truncated toward negative infinity
WARNING: This function is partial (because it throws when 0 is passed as
the divisor) for all the integer types in base.
integer modulus, satisfying
(x `div` y)*y + (x `mod` y) == x
WARNING: This function is partial (because it throws when 0 is passed as
the divisor) for all the integer types in base.
WARNING: This function is partial (because it throws when 0 is passed as
the divisor) for all the integer types in base.
WARNING: This function is partial (because it throws when 0 is passed as
the divisor) for all the integer types in base.
conversion to Integer
Instances
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
Parsing of Strings, producing values.
Derived instances of Read make the following assumptions, which
derived instances of Show obey:
- If the constructor is defined to be an infix operator, then the
derived
Readinstance will parse only infix applications of the constructor (not the prefix form). - Associativity is not used to reduce the occurrence of parentheses, although precedence may be.
- If the constructor is defined using record syntax, the derived
Readwill parse only the record-syntax form, and furthermore, the fields must be given in the same order as the original declaration. - The derived
Readinstance allows arbitrary Haskell whitespace between tokens of the input string. Extra parentheses are also allowed.
For example, given the declarations
infixr 5 :^: data Tree a = Leaf a | Tree a :^: Tree a
the derived instance of Read in Haskell 2010 is equivalent to
instance (Read a) => Read (Tree a) where
readsPrec d r = readParen (d > app_prec)
(\r -> [(Leaf m,t) |
("Leaf",s) <- lex r,
(m,t) <- readsPrec (app_prec+1) s]) r
++ readParen (d > up_prec)
(\r -> [(u:^:v,w) |
(u,s) <- readsPrec (up_prec+1) r,
(":^:",t) <- lex s,
(v,w) <- readsPrec (up_prec+1) t]) r
where app_prec = 10
up_prec = 5Note that right-associativity of :^: is unused.
The derived instance in GHC is equivalent to
instance (Read a) => Read (Tree a) where
readPrec = parens $ (prec app_prec $ do
Ident "Leaf" <- lexP
m <- step readPrec
return (Leaf m))
+++ (prec up_prec $ do
u <- step readPrec
Symbol ":^:" <- lexP
v <- step readPrec
return (u :^: v))
where app_prec = 10
up_prec = 5
readListPrec = readListPrecDefaultWhy do both readsPrec and readPrec exist, and why does GHC opt to
implement readPrec in derived Read instances instead of readsPrec?
The reason is that readsPrec is based on the ReadS type, and although
ReadS is mentioned in the Haskell 2010 Report, it is not a very efficient
parser data structure.
readPrec, on the other hand, is based on a much more efficient ReadPrec
datatype (a.k.a "new-style parsers"), but its definition relies on the use
of the RankNTypes language extension. Therefore, readPrec (and its
cousin, readListPrec) are marked as GHC-only. Nevertheless, it is
recommended to use readPrec instead of readsPrec whenever possible
for the efficiency improvements it brings.
As mentioned above, derived Read instances in GHC will implement
readPrec instead of readsPrec. The default implementations of
readsPrec (and its cousin, readList) will simply use readPrec under
the hood. If you are writing a Read instance by hand, it is recommended
to write it like so:
instanceReadT wherereadPrec= ...readListPrec=readListPrecDefault
Methods
Arguments
| :: Int | the operator precedence of the enclosing
context (a number from |
| -> ReadS a |
attempts to parse a value from the front of the string, returning a list of (parsed value, remaining string) pairs. If there is no successful parse, the returned list is empty.
Derived instances of Read and Show satisfy the following:
That is, readsPrec parses the string produced by
showsPrec, and delivers the value that
showsPrec started with.
Instances
| Read QCGen | |
| Read All | Since: base-2.1 |
| Read Any | Since: base-2.1 |
| Read Version | Since: base-2.1 |
| Read CBool | |
| Read CChar | |
| Read CClock | |
| Read CDouble | |
| Read CFloat | |
| Read CInt | |
| Read CIntMax | |
| Read CIntPtr | |
| Read CLLong | |
| Read CLong | |
| Read CPtrdiff | |
| Read CSChar | |
| Read CSUSeconds | |
Defined in Foreign.C.Types Methods readsPrec :: Int -> ReadS CSUSeconds # readList :: ReadS [CSUSeconds] # readPrec :: ReadPrec CSUSeconds # readListPrec :: ReadPrec [CSUSeconds] # | |
| Read CShort | |
| Read CSigAtomic | |
Defined in Foreign.C.Types Methods readsPrec :: Int -> ReadS CSigAtomic # readList :: ReadS [CSigAtomic] # readPrec :: ReadPrec CSigAtomic # readListPrec :: ReadPrec [CSigAtomic] # | |
| Read CSize | |
| Read CTime | |
| Read CUChar | |
| Read CUInt | |
| Read CUIntMax | |
| Read CUIntPtr | |
| Read CULLong | |
| Read CULong | |
| Read CUSeconds | |
| Read CUShort | |
| Read CWchar | |
| Read Void | Reading a Since: base-4.8.0.0 |
| Read Associativity | Since: base-4.6.0.0 |
Defined in GHC.Generics Methods readsPrec :: Int -> ReadS Associativity # readList :: ReadS [Associativity] # | |
| Read DecidedStrictness | Since: base-4.9.0.0 |
Defined in GHC.Generics Methods readsPrec :: Int -> ReadS DecidedStrictness # readList :: ReadS [DecidedStrictness] # | |
| Read Fixity | Since: base-4.6.0.0 |
| Read SourceStrictness | Since: base-4.9.0.0 |
Defined in GHC.Generics Methods readsPrec :: Int -> ReadS SourceStrictness # readList :: ReadS [SourceStrictness] # | |
| Read SourceUnpackedness | Since: base-4.9.0.0 |
Defined in GHC.Generics Methods readsPrec :: Int -> ReadS SourceUnpackedness # readList :: ReadS [SourceUnpackedness] # | |
| Read SeekMode | Since: base-4.2.0.0 |
| Read ExitCode | |
| Read BufferMode | Since: base-4.2.0.0 |
Defined in GHC.IO.Handle.Types Methods readsPrec :: Int -> ReadS BufferMode # readList :: ReadS [BufferMode] # readPrec :: ReadPrec BufferMode # readListPrec :: ReadPrec [BufferMode] # | |
| Read Newline | Since: base-4.3.0.0 |
| Read NewlineMode | Since: base-4.3.0.0 |
Defined in GHC.IO.Handle.Types Methods readsPrec :: Int -> ReadS NewlineMode # readList :: ReadS [NewlineMode] # readPrec :: ReadPrec NewlineMode # readListPrec :: ReadPrec [NewlineMode] # | |
| Read IOMode | Since: base-4.2.0.0 |
| Read Int16 | Since: base-2.1 |
| Read Int32 | Since: base-2.1 |
| Read Int64 | Since: base-2.1 |
| Read Int8 | Since: base-2.1 |
| Read GCDetails | Since: base-4.10.0.0 |
| Read RTSStats | Since: base-4.10.0.0 |
| Read SomeChar | |
| Read SomeSymbol | Since: base-4.7.0.0 |
Defined in GHC.TypeLits Methods readsPrec :: Int -> ReadS SomeSymbol # readList :: ReadS [SomeSymbol] # readPrec :: ReadPrec SomeSymbol # readListPrec :: ReadPrec [SomeSymbol] # | |
| Read SomeNat | Since: base-4.7.0.0 |
| Read GeneralCategory | Since: base-2.1 |
Defined in GHC.Read Methods readsPrec :: Int -> ReadS GeneralCategory # readList :: ReadS [GeneralCategory] # | |
| Read Word16 | Since: base-2.1 |
| Read Word32 | Since: base-2.1 |
| Read Word64 | Since: base-2.1 |
| Read Word8 | Since: base-2.1 |
| Read Lexeme | Since: base-2.1 |
| Read ByteString | |
Defined in Data.ByteString.Internal.Type Methods readsPrec :: Int -> ReadS ByteString # readList :: ReadS [ByteString] # readPrec :: ReadPrec ByteString # readListPrec :: ReadPrec [ByteString] # | |
| Read ByteString | |
Defined in Data.ByteString.Lazy.Internal Methods readsPrec :: Int -> ReadS ByteString # readList :: ReadS [ByteString] # readPrec :: ReadPrec ByteString # readListPrec :: ReadPrec [ByteString] # | |
| Read ShortByteString | |
Defined in Data.ByteString.Short.Internal Methods readsPrec :: Int -> ReadS ShortByteString # readList :: ReadS [ShortByteString] # | |
| Read HDL Source # | |
| Read Primitive Source # | |
| Read PrimitiveWarning Source # | |
Defined in Clash.Annotations.Primitive Methods readsPrec :: Int -> ReadS PrimitiveWarning # readList :: ReadS [PrimitiveWarning] # | |
| Read ActiveEdge Source # | |
Defined in Clash.Signal.Internal Methods readsPrec :: Int -> ReadS ActiveEdge # readList :: ReadS [ActiveEdge] # readPrec :: ReadPrec ActiveEdge # readListPrec :: ReadPrec [ActiveEdge] # | |
| Read InitBehavior Source # | |
Defined in Clash.Signal.Internal Methods readsPrec :: Int -> ReadS InitBehavior # readList :: ReadS [InitBehavior] # | |
| Read ResetKind Source # | |
| Read ResetPolarity Source # | |
Defined in Clash.Signal.Internal Methods readsPrec :: Int -> ReadS ResetPolarity # readList :: ReadS [ResetPolarity] # | |
| Read VDomainConfiguration Source # | |
Defined in Clash.Signal.Internal Methods readsPrec :: Int -> ReadS VDomainConfiguration # readList :: ReadS [VDomainConfiguration] # | |
| Read IntSet | |
| Read Ordering | Since: base-2.1 |
| Read Half | |
| Read DatatypeVariant | |
Defined in Language.Haskell.TH.Datatype Methods readsPrec :: Int -> ReadS DatatypeVariant # readList :: ReadS [DatatypeVariant] # | |
| Read Integer | Since: base-2.1 |
| Read Natural | Since: base-4.8.0.0 |
| Read () | Since: base-2.1 |
| Read Bool | Since: base-2.1 |
| Read Char | Since: base-2.1 |
| Read Double | Since: base-2.1 |
| Read Float | Since: base-2.1 |
| Read Int | Since: base-2.1 |
| Read Word | Since: base-4.5.0.0 |
| () :=> (Read Ordering) | |
| () :=> (Read Natural) | |
| () :=> (Read ()) | |
Defined in Data.Constraint | |
| () :=> (Read Bool) | |
| () :=> (Read Char) | |
| () :=> (Read Int) | |
| () :=> (Read Word) | |
| a :=> (Read (Dict a)) | |
| Class () (Read a) | |
Defined in Data.Constraint | |
| Read a => Read (ZipList a) | Since: base-4.7.0.0 |
| Read a => Read (And a) | Since: base-4.16 |
| Read a => Read (Iff a) | Since: base-4.16 |
| Read a => Read (Ior a) | Since: base-4.16 |
| Read a => Read (Xor a) | Since: base-4.16 |
| Read a => Read (Complex a) | Since: base-2.1 |
| Read a => Read (Identity a) | This instance would be equivalent to the derived instances of the
Since: base-4.8.0.0 |
| Read a => Read (First a) | Since: base-2.1 |
| Read a => Read (Last a) | Since: base-2.1 |
| Read a => Read (Down a) | This instance would be equivalent to the derived instances of the
Since: base-4.7.0.0 |
| Read a => Read (First a) | Since: base-4.9.0.0 |
| Read a => Read (Last a) | Since: base-4.9.0.0 |
| Read a => Read (Max a) | Since: base-4.9.0.0 |
| Read a => Read (Min a) | Since: base-4.9.0.0 |
| Read m => Read (WrappedMonoid m) | Since: base-4.9.0.0 |
Defined in Data.Semigroup Methods readsPrec :: Int -> ReadS (WrappedMonoid m) # readList :: ReadS [WrappedMonoid m] # readPrec :: ReadPrec (WrappedMonoid m) # readListPrec :: ReadPrec [WrappedMonoid m] # | |
| Read a => Read (Dual a) | Since: base-2.1 |
| Read a => Read (Product a) | Since: base-2.1 |
| Read a => Read (Sum a) | Since: base-2.1 |
| Read a => Read (NonEmpty a) | Since: base-4.11.0.0 |
| Read p => Read (Par1 p) | Since: base-4.7.0.0 |
| (Integral a, Read a) => Read (Ratio a) | Since: base-2.1 |
| Read a => Read (PrimitiveGuard a) Source # | |
Defined in Clash.Annotations.Primitive Methods readsPrec :: Int -> ReadS (PrimitiveGuard a) # readList :: ReadS [PrimitiveGuard a] # readPrec :: ReadPrec (PrimitiveGuard a) # readListPrec :: ReadPrec [PrimitiveGuard a] # | |
| KnownNat n => Read (Index n) Source # | None of the |
| KnownNat n => Read (Signed n) Source # | None of the |
| KnownNat n => Read (Unsigned n) Source # | None of the |
| a => Read (Dict a) | |
| Read e => Read (IntMap e) | |
| Read a => Read (Seq a) | |
| Read a => Read (ViewL a) | |
| Read a => Read (ViewR a) | |
| (Read a, Ord a) => Read (Set a) | |
| Read a => Read (Tree a) | |
| Read1 f => Read (Fix f) | |
| (Functor f, Read1 f) => Read (Mu f) | |
| (Functor f, Read1 f) => Read (Nu f) | |
| Read a => Read (Array a) | |
| Read a => Read (SmallArray a) | |
Defined in Data.Primitive.SmallArray Methods readsPrec :: Int -> ReadS (SmallArray a) # readList :: ReadS [SmallArray a] # readPrec :: ReadPrec (SmallArray a) # readListPrec :: ReadPrec [SmallArray a] # | |
| Read a => Read (Maybe a) | |
| (Eq a, Hashable a, Read a) => Read (HashSet a) | |
| Read a => Read (Vector a) | |
| (Read a, Prim a) => Read (Vector a) | |
| (Read a, Storable a) => Read (Vector a) | |
| Read a => Read (Vector a) | |
| Read a => Read (Maybe a) | Since: base-2.1 |
| Read a => Read (a) | Since: base-4.15 |
| Read a => Read [a] | Since: base-2.1 |
| (Read a) :=> (Read (Complex a)) | |
| (Read a) :=> (Read (Const a b)) | |
| (Read a) :=> (Read (Identity a)) | |
| (Read a) :=> (Read (Maybe a)) | |
| (Read a) :=> (Read [a]) | |
| (Ix ix, Read ix, Read e, IArray UArray e) => Read (UArray ix e) | |
| (Read a, Read b) => Read (Either a b) | Since: base-3.0 |
| Read (Proxy t) | Since: base-4.7.0.0 |
| (Read a, Read b) => Read (Arg a b) | Since: base-4.9.0.0 |
| (Ix a, Read a, Read b) => Read (Array a b) | Since: base-2.1 |
| Read (U1 p) | Since: base-4.9.0.0 |
| Read (V1 p) | Since: base-4.9.0.0 |
| (Ord k, Read k, Read e) => Read (Map k e) | |
| (Read1 f, Read a) => Read (Cofree f a) | |
| (Read1 f, Read a) => Read (Free f a) | |
| (Functor f, Read (f a)) => Read (Yoneda f a) | |
| (Read i, Read a) => Read (Level i a) | |
| (Read a, Read b) => Read (ListF a b) | |
| (Read a, Read b) => Read (NonEmptyF a b) | |
| (Read a, Read b) => Read (TreeF a b) | |
| (Read a, Read b) => Read (Either a b) | |
| (Read a, Read b) => Read (These a b) | |
| (Read a, Read b) => Read (Pair a b) | |
| (Read a, Read b) => Read (These a b) | |
| (Read1 f, Read a) => Read (Lift f a) | |
| (Read1 m, Read a) => Read (MaybeT m a) | |
| (Eq k, Hashable k, Read k, Read e) => Read (HashMap k e) | |
| (Read a, Read b) => Read (a, b) | Since: base-2.1 |
| (Read a, Read b) :=> (Read (Either a b)) | |
| (Read a, Read b) :=> (Read (a, b)) | |
| (Integral a, Read a) :=> (Read (Ratio a)) | |
| Read a => Read (Const a b) | This instance would be equivalent to the derived instances of the
Since: base-4.8.0.0 |
| Read (f a) => Read (Ap f a) | Since: base-4.12.0.0 |
| Read (f a) => Read (Alt f a) | Since: base-4.8.0.0 |
| a ~ b => Read (a :~: b) | Since: base-4.7.0.0 |
| Read (f p) => Read (Rec1 f p) | Since: base-4.7.0.0 |
| Read (p (Fix p a) a) => Read (Fix p a) | |
| Read (p a a) => Read (Join p a) | |
| (size ~ (int + frac), KnownNat frac, Bounded (rep size), Integral (rep size)) => Read (Fixed rep int frac) Source # | None of the |
| (Read a, Read (f b)) => Read (CofreeF f a b) | |
| Read (w (CofreeF f a (CofreeT f w a))) => Read (CofreeT f w a) | |
| (Read a, Read (f b)) => Read (FreeF f a b) | |
| (Read1 f, Read1 m, Read a) => Read (FreeT f m a) | |
| Read b => Read (Tagged s b) | |
| (Read1 f, Read a) => Read (Backwards f a) | |
| (Read e, Read1 m, Read a) => Read (ExceptT e m a) | |
| (Read1 f, Read a) => Read (IdentityT f a) | |
| (Read w, Read1 m, Read a) => Read (WriterT w m a) | |
| (Read w, Read1 m, Read a) => Read (WriterT w m a) | |
| Read a => Read (Constant a b) | |
| (Read1 f, Read a) => Read (Reverse f a) | |
| (Read a, Read b, Read c) => Read (a, b, c) | Since: base-2.1 |
| (Read (f a), Read (g a)) => Read (Product f g a) | Since: base-4.18.0.0 |
| (Read (f a), Read (g a)) => Read (Sum f g a) | Since: base-4.18.0.0 |
| a ~~ b => Read (a :~~: b) | Since: base-4.10.0.0 |
| (Read (f p), Read (g p)) => Read ((f :*: g) p) | Since: base-4.7.0.0 |
| (Read (f p), Read (g p)) => Read ((f :+: g) p) | Since: base-4.7.0.0 |
| Read c => Read (K1 i c p) | Since: base-4.7.0.0 |
| (Read a, Read b, Read c, Read d) => Read (a, b, c, d) | Since: base-2.1 |
| Read (f (g a)) => Read (Compose f g a) | Since: base-4.18.0.0 |
| Read (f (g p)) => Read ((f :.: g) p) | Since: base-4.7.0.0 |
| Read (f p) => Read (M1 i c f p) | Since: base-4.7.0.0 |
| Read (f a) => Read (Clown f a b) | |
| Read (p b a) => Read (Flip p a b) | |
| Read (g b) => Read (Joker g a b) | |
| Read (p a b) => Read (WrappedBifunctor p a b) | |
Defined in Data.Bifunctor.Wrapped Methods readsPrec :: Int -> ReadS (WrappedBifunctor p a b) # readList :: ReadS [WrappedBifunctor p a b] # readPrec :: ReadPrec (WrappedBifunctor p a b) # readListPrec :: ReadPrec [WrappedBifunctor p a b] # | |
| (Read a, Read b, Read c, Read d, Read e) => Read (a, b, c, d, e) | Since: base-2.1 |
| (Read (f a b), Read (g a b)) => Read (Product f g a b) | |
| (Read (p a b), Read (q a b)) => Read (Sum p q a b) | |
| (Read a, Read b, Read c, Read d, Read e, Read f) => Read (a, b, c, d, e, f) | Since: base-2.1 |
| Read (f (p a b)) => Read (Tannen f p a b) | |
| (Read a, Read b, Read c, Read d, Read e, Read f, Read g) => Read (a, b, c, d, e, f, g) | Since: base-2.1 |
| (Read a, Read b, Read c, Read d, Read e, Read f, Read g, Read h) => Read (a, b, c, d, e, f, g, h) | Since: base-2.1 |
| Read (p (f a) (g b)) => Read (Biff p f g a b) | |
| (Read a, Read b, Read c, Read d, Read e, Read f, Read g, Read h, Read i) => Read (a, b, c, d, e, f, g, h, i) | Since: base-2.1 |
| (Read a, Read b, Read c, Read d, Read e, Read f, Read g, Read h, Read i, Read j) => Read (a, b, c, d, e, f, g, h, i, j) | Since: base-2.1 |
| (Read a, Read b, Read c, Read d, Read e, Read f, Read g, Read h, Read i, Read j, Read k) => Read (a, b, c, d, e, f, g, h, i, j, k) | Since: base-2.1 |
| (Read a, Read b, Read c, Read d, Read e, Read f, Read g, Read h, Read i, Read j, Read k, Read l) => Read (a, b, c, d, e, f, g, h, i, j, k, l) | Since: base-2.1 |
| (Read a, Read b, Read c, Read d, Read e, Read f, Read g, Read h, Read i, Read j, Read k, Read l, Read m) => Read (a, b, c, d, e, f, g, h, i, j, k, l, m) | Since: base-2.1 |
| (Read a, Read b, Read c, Read d, Read e, Read f, Read g, Read h, Read i, Read j, Read k, Read l, Read m, Read n) => Read (a, b, c, d, e, f, g, h, i, j, k, l, m, n) | Since: base-2.1 |
| (Read a, Read b, Read c, Read d, Read e, Read f, Read g, Read h, Read i, Read j, Read k, Read l, Read m, Read n, Read o) => Read (a, b, c, d, e, f, g, h, i, j, k, l, m, n, o) | Since: base-2.1 |
Defined in GHC.Read | |
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
String is an alias for a list of characters.
String constants in Haskell are values of type String.
That means if you write a string literal like "hello world",
it will have the type [Char], which is the same as String.
Note: You can ask the compiler to automatically infer different types
with the -XOverloadedStrings language extension, for example
"hello world" :: Text. See IsString for more information.
Because String is just a list of characters, you can use normal list functions
to do basic string manipulation. See Data.List for operations on lists.
Performance considerations
[Char] is a relatively memory-inefficient type.
It is a linked list of boxed word-size characters, internally it looks something like:
╭─────┬───┬──╮ ╭─────┬───┬──╮ ╭─────┬───┬──╮ ╭────╮
│ (:) │ │ ─┼─>│ (:) │ │ ─┼─>│ (:) │ │ ─┼─>│ [] │
╰─────┴─┼─┴──╯ ╰─────┴─┼─┴──╯ ╰─────┴─┼─┴──╯ ╰────╯
v v v
'a' 'b' 'c'The String "abc" will use 5*3+1 = 16 (in general 5n+1)
words of space in memory.
Furthermore, operations like (++) (string concatenation) are O(n)
(in the left argument).
For historical reasons, the base library uses String in a lot of places
for the conceptual simplicity, but library code dealing with user-data
should use the text
package for Unicode text, or the the
bytestring package
for binary data.
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.
Ord, as defined by the Haskell report, implements a total order and has the
following properties:
- Comparability
x <= y || y <= x=True- Transitivity
- if
x <= y && y <= z=True, thenx <= z=True - Reflexivity
x <= x=True- Antisymmetry
- if
x <= y && y <= x=True, thenx == y=True
The following operator interactions are expected to hold:
x >= y=y <= xx < y=x <= y && x /= yx > y=y < xx < y=compare x y == LTx > y=compare x y == GTx == y=compare x y == EQmin x y == if x <= y then x else y=Truemax x y == if x >= y then x else y=True
Note that (7.) and (8.) do not require min and max to return either of
their arguments. The result is merely required to equal one of the
arguments in terms of (==).
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
class Num a => Fractional a where #
Fractional numbers, supporting real division.
The Haskell Report defines no laws for Fractional. However, ( and
+)( are customarily expected to define a division ring and have the
following properties:*)
recipgives the multiplicative inversex * recip x=recip x * x=fromInteger 1- Totality of
toRational toRationalis total- Coherence with
toRational - if the type also implements
Real, thenfromRationalis a left inverse fortoRational, i.e.fromRational (toRational i) = i
Note that it isn't customarily expected that a type instance of
Fractional implement a field. However, all instances in base do.
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
class (Num a, Ord a) => Real a where #
Real numbers.
The Haskell report defines no laws for Real, however Real instances
are customarily expected to adhere to the following law:
- Coherence with
fromRational - if the type also implements
Fractional, thenfromRationalis a left inverse fortoRational, i.e.fromRational (toRational i) = i
Methods
toRational :: a -> Rational #
the rational equivalent of its real argument with full precision
Instances
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.
The Haskell Report defines no laws for Eq. However, instances are
encouraged to follow these properties:
Instances
class Semigroup a => Monoid a where #
The class of monoids (types with an associative binary operation that has an identity). Instances should satisfy the following:
- Right identity
x<>mempty= x- Left identity
mempty<>x = x- Associativity
x(<>(y<>z) = (x<>y)<>zSemigrouplaw)- Concatenation
mconcat=foldr(<>)mempty
You can alternatively define mconcat instead of mempty, in which case the
laws are:
- Unit
mconcat(purex) = x- Multiplication
mconcat(joinxss) =mconcat(fmapmconcatxss)- Subclass
mconcat(toListxs) =sconcatxs
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.
Methods
Identity of mappend
Examples
>>>"Hello world" <> mempty"Hello world"
>>>mempty <> [1, 2, 3][1,2,3]
An associative operation
NOTE: This method is redundant and has the default
implementation mappend = (<>)mappend is a synonym for
(<>), it is expected that the two functions are defined the same
way. In a future GHC release mappend will be removed from Monoid.
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.
>>>mconcat ["Hello", " ", "Haskell", "!"]"Hello Haskell!"
Instances
| Monoid ByteArray | Since: base-4.17.0.0 |
| Monoid All | Since: base-2.1 |
| Monoid Any | Since: base-2.1 |
| Monoid Builder | |
| Monoid ByteString | |
Defined in Data.ByteString.Internal.Type Methods mempty :: ByteString # mappend :: ByteString -> ByteString -> ByteString # mconcat :: [ByteString] -> ByteString # | |
| Monoid ByteString | |
Defined in Data.ByteString.Lazy.Internal Methods mempty :: ByteString # mappend :: ByteString -> ByteString -> ByteString # mconcat :: [ByteString] -> ByteString # | |
| Monoid ShortByteString | |
Defined in Data.ByteString.Short.Internal Methods mappend :: ShortByteString -> ShortByteString -> ShortByteString # mconcat :: [ShortByteString] -> ShortByteString # | |
| Monoid IntSet | |
| Monoid OsString | "String-Concatenation" for |
| Monoid PosixString | |
Defined in System.OsString.Internal.Types.Hidden Methods mempty :: PosixString # mappend :: PosixString -> PosixString -> PosixString # mconcat :: [PosixString] -> PosixString # | |
| Monoid WindowsString | |
Defined in System.OsString.Internal.Types.Hidden Methods mempty :: WindowsString # mappend :: WindowsString -> WindowsString -> WindowsString # mconcat :: [WindowsString] -> WindowsString # | |
| Monoid PluginRecompile | |
Defined in GHC.Driver.Plugins Methods mappend :: PluginRecompile -> PluginRecompile -> PluginRecompile # mconcat :: [PluginRecompile] -> PluginRecompile # | |
| Monoid Ordering | Since: base-2.1 |
| Monoid OsString | "String-Concatenation" for |
| Monoid PosixString | |
Defined in System.OsString.Internal.Types Methods mempty :: PosixString # mappend :: PosixString -> PosixString -> PosixString # mconcat :: [PosixString] -> PosixString # | |
| Monoid WindowsString | |
Defined in System.OsString.Internal.Types Methods mempty :: WindowsString # mappend :: WindowsString -> WindowsString -> WindowsString # mconcat :: [WindowsString] -> WindowsString # | |
| Monoid Doc | |
| Monoid Builder | |
| Monoid () | Since: base-2.1 |
| () :=> (Monoid Ordering) | |
| () :=> (Monoid ()) | |
Defined in Data.Constraint | |
| () :=> (Monoid [a]) | |
Defined in Data.Constraint | |
| a :=> (Monoid (Dict a)) | |
| FiniteBits a => Monoid (And a) | This constraint is arguably too strong. However,
as some types (such as Since: base-4.16 |
| FiniteBits a => Monoid (Iff a) | This constraint is arguably
too strong. However, as some types (such as Since: base-4.16 |
| Bits a => Monoid (Ior a) | Since: base-4.16 |
| Bits a => Monoid (Xor a) | Since: base-4.16 |
| Monoid (Comparison a) |
mempty :: Comparison a mempty = Comparison _ _ -> EQ |
Defined in Data.Functor.Contravariant Methods mempty :: Comparison a # mappend :: Comparison a -> Comparison a -> Comparison a # mconcat :: [Comparison a] -> Comparison a # | |
| Monoid (Equivalence a) |
mempty :: Equivalence a mempty = Equivalence _ _ -> True |
Defined in Data.Functor.Contravariant Methods mempty :: Equivalence a # mappend :: Equivalence a -> Equivalence a -> Equivalence a # mconcat :: [Equivalence a] -> Equivalence a # | |
| Monoid (Predicate a) |
mempty :: Predicate a mempty = _ -> True |
| Monoid a => Monoid (Identity a) | Since: base-4.9.0.0 |
| Ord a => Monoid (Max a) | Since: base-4.8.0.0 |
| Ord a => Monoid (Min a) | Since: base-4.8.0.0 |
| Monoid (First a) | Since: base-2.1 |
| Monoid (Last a) | Since: base-2.1 |
| Monoid a => Monoid (Down a) | Since: base-4.11.0.0 |
| (Ord a, Bounded a) => Monoid (Max a) | Since: base-4.9.0.0 |
| (Ord a, Bounded a) => Monoid (Min a) | Since: base-4.9.0.0 |
| Monoid m => Monoid (WrappedMonoid m) | Since: base-4.9.0.0 |
Defined in Data.Semigroup Methods mempty :: WrappedMonoid m # mappend :: WrappedMonoid m -> WrappedMonoid m -> WrappedMonoid m # mconcat :: [WrappedMonoid m] -> WrappedMonoid m # | |
| Monoid a => Monoid (Dual a) | Since: base-2.1 |
| Monoid (Endo a) | Since: base-2.1 |
| Num a => Monoid (Product a) | Since: base-2.1 |
| Num a => Monoid (Sum a) | Since: base-2.1 |
| (Generic a, Monoid (Rep a ())) => Monoid (Generically a) | Since: base-4.17.0.0 |
Defined in GHC.Generics Methods mempty :: Generically a # mappend :: Generically a -> Generically a -> Generically a # mconcat :: [Generically a] -> Generically a # | |
| Monoid p => Monoid (Par1 p) | Since: base-4.12.0.0 |
| Monoid (PutM ()) | |
| Monoid a => Monoid (SimOnly a) Source # | |
| a => Monoid (Dict a) | |
| Monoid (IntMap a) | |
| Monoid (Seq a) | |
| Monoid (MergeSet a) | |
| Ord a => Monoid (Set a) | |
| Monoid a => Monoid (IO a) | Since: base-4.9.0.0 |
| Monoid (Leftmost a) | |
| Monoid (Rightmost a) | |
| Monoid (Doc a) | |
| Monoid (Array a) | |
| Monoid (PrimArray a) | Since: primitive-0.6.4.0 |
| Monoid (SmallArray a) | |
Defined in Data.Primitive.SmallArray Methods mempty :: SmallArray a # mappend :: SmallArray a -> SmallArray a -> SmallArray a # mconcat :: [SmallArray a] -> SmallArray a # | |
| Semigroup a => Monoid (Maybe a) | |
| Monoid a => Monoid (Q a) | Since: template-haskell-2.17.0.0 |
| (Hashable a, Eq a) => Monoid (HashSet a) | \(O(n+m)\) To obtain good performance, the smaller set must be presented as the first argument. Examples
|
| Monoid (Vector a) | |
| Prim a => Monoid (Vector a) | |
| Storable a => Monoid (Vector a) | |
| Monoid (Vector a) | |
| Semigroup a => Monoid (Maybe a) | Lift a semigroup into Since 4.11.0: constraint on inner Since: base-2.1 |
| Monoid a => Monoid (a) | Since: base-4.15 |
| Monoid [a] | Since: base-2.1 |
| (Monoid a) :=> (Applicative (Const a :: Type -> Type)) | |
Defined in Data.Constraint | |
| (Monoid a) :=> (Applicative ((,) a)) | |
Defined in Data.Constraint | |
| (Monoid a) :=> (Monoid (Const a b)) | |
| (Monoid a) :=> (Monoid (Identity a)) | |
| (Monoid a) :=> (Monoid (IO a)) | |
| (Monoid a) :=> (Monoid (Maybe a)) | |
| Class (Semigroup a) (Monoid a) | |
| Monoid a => Monoid (Op a b) |
mempty :: Op a b mempty = Op _ -> mempty |
| Monoid (Proxy s) | Since: base-4.7.0.0 |
| Monoid (U1 p) | Since: base-4.12.0.0 |
| Monoid a => Monoid (ST s a) | Since: base-4.11.0.0 |
| (KnownNat n, Monoid a) => Monoid (Vec n a) Source # | |
| Ord k => Monoid (Map k v) | |
| (Contravariant f, Applicative f) => Monoid (Folding f a) | |
| Monad m => Monoid (Sequenced a m) | |
| Applicative f => Monoid (Traversed a f) | |
| (Apply f, Applicative f) => Monoid (TraversedF a f) | |
Defined in Control.Lens.Internal.Fold Methods mempty :: TraversedF a f # mappend :: TraversedF a f -> TraversedF a f -> TraversedF a f # mconcat :: [TraversedF a f] -> TraversedF a f # | |
| Monoid (f a) => Monoid (Indexing f a) |
|
| Monoid (Deepening i a) | This is an illegal |
| Monoid (ReifiedFold s a) | |
Defined in Control.Lens.Reified Methods mempty :: ReifiedFold s a # mappend :: ReifiedFold s a -> ReifiedFold s a -> ReifiedFold s a # mconcat :: [ReifiedFold s a] -> ReifiedFold s a # | |
| (Monoid a, Monoid b) => Monoid (Pair a b) | |
| (Eq k, Hashable k) => Monoid (HashMap k v) | If a key occurs in both maps, the mapping from the first will be the mapping in the result. Examples
|
| (Monoid a, Monoid b) => Monoid (a, b) | Since: base-2.1 |
| Monoid b => Monoid (a -> b) | Since: base-2.1 |
| (Monoid a, Monoid b) :=> (Monoid (a, b)) | |
| ArrowPlus a => Monoid (Automaton a b c) | |
| Monoid a => Monoid (Const a b) | Since: base-4.9.0.0 |
| (Applicative f, Monoid a) => Monoid (Ap f a) | Since: base-4.12.0.0 |
| Alternative f => Monoid (Alt f a) | Since: base-4.8.0.0 |
| Monoid (f p) => Monoid (Rec1 f p) | Since: base-4.12.0.0 |
| Monoid (BiSignalOut defaultState dom n) Source # | Monoid instance to support concatenating NB: Not synthesizable |
Defined in Clash.Signal.BiSignal Methods mempty :: BiSignalOut defaultState dom n # mappend :: BiSignalOut defaultState dom n -> BiSignalOut defaultState dom n -> BiSignalOut defaultState dom n # mconcat :: [BiSignalOut defaultState dom n] -> BiSignalOut defaultState dom n # | |
| Monad m => Monoid (Sequenced a m) | |
| Applicative f => Monoid (Traversed a f) | |
| Monoid (ReifiedIndexedFold i s a) | |
Defined in Control.Lens.Reified Methods mempty :: ReifiedIndexedFold i s a # mappend :: ReifiedIndexedFold i s a -> ReifiedIndexedFold i s a -> ReifiedIndexedFold i s a # mconcat :: [ReifiedIndexedFold i s a] -> ReifiedIndexedFold i s a # | |
| Reifies s (ReifiedMonoid a) => Monoid (ReflectedMonoid a s) | |
Defined in Data.Reflection Methods mempty :: ReflectedMonoid a s # mappend :: ReflectedMonoid a s -> ReflectedMonoid a s -> ReflectedMonoid a s # mconcat :: [ReflectedMonoid a s] -> ReflectedMonoid a s # | |
| (Semigroup a, Monoid a) => Monoid (Tagged s a) | |
| Monoid a => Monoid (Constant a b) | |
| (Monoid a, Monoid b, Monoid c) => Monoid (a, b, c) | Since: base-2.1 |
| (Monoid (f a), Monoid (g a)) => Monoid (Product f g a) | Since: base-4.16.0.0 |
| (Monoid (f p), Monoid (g p)) => Monoid ((f :*: g) p) | Since: base-4.12.0.0 |
| Monoid c => Monoid (K1 i c p) | Since: base-4.12.0.0 |
| (Monoid a, Monoid b, Monoid c, Monoid d) => Monoid (a, b, c, d) | Since: base-2.1 |
| Monoid (f (g a)) => Monoid (Compose f g a) | Since: base-4.16.0.0 |
| Monoid (f (g p)) => Monoid ((f :.: g) p) | Since: base-4.12.0.0 |
| Monoid (f p) => Monoid (M1 i c f p) | Since: base-4.12.0.0 |
| Contravariant g => Monoid (BazaarT p g a b t) | |
| (Monoid a, Monoid b, Monoid c, Monoid d, Monoid e) => Monoid (a, b, c, d, e) | Since: base-2.1 |
The class of semigroups (types with an associative binary operation).
Instances should satisfy the following:
You can alternatively define sconcat instead of (<>), in which case the
laws are:
Since: base-4.9.0.0
Methods
(<>) :: a -> a -> a infixr 6 #
An associative operation.
Examples
>>>[1,2,3] <> [4,5,6][1,2,3,4,5,6]
>>>Just [1, 2, 3] <> Just [4, 5, 6]Just [1,2,3,4,5,6]
>>>putStr "Hello, " <> putStrLn "World!"Hello, World!
Instances
| Semigroup ByteArray | Since: base-4.17.0.0 |
| Semigroup All | Since: base-4.9.0.0 |
| Semigroup Any | Since: base-4.9.0.0 |
| Semigroup Void | Since: base-4.9.0.0 |
| Semigroup Builder | |
| Semigroup ByteString | |
Defined in Data.ByteString.Internal.Type Methods (<>) :: ByteString -> ByteString -> ByteString # sconcat :: NonEmpty ByteString -> ByteString # stimes :: Integral b => b -> ByteString -> ByteString # | |
| Semigroup ByteString | |
Defined in Data.ByteString.Lazy.Internal Methods (<>) :: ByteString -> ByteString -> ByteString # sconcat :: NonEmpty ByteString -> ByteString # stimes :: Integral b => b -> ByteString -> ByteString # | |
| Semigroup ShortByteString | |
Defined in Data.ByteString.Short.Internal Methods (<>) :: ShortByteString -> ShortByteString -> ShortByteString # sconcat :: NonEmpty ShortByteString -> ShortByteString # stimes :: Integral b => b -> ShortByteString -> ShortByteString # | |
| Semigroup IntSet | Since: containers-0.5.7 |
| Semigroup OsString | |
| Semigroup PosixString | |
Defined in System.OsString.Internal.Types.Hidden Methods (<>) :: PosixString -> PosixString -> PosixString # sconcat :: NonEmpty PosixString -> PosixString # stimes :: Integral b => b -> PosixString -> PosixString # | |
| Semigroup WindowsString | |
Defined in System.OsString.Internal.Types.Hidden Methods (<>) :: WindowsString -> WindowsString -> WindowsString # sconcat :: NonEmpty WindowsString -> WindowsString # stimes :: Integral b => b -> WindowsString -> WindowsString # | |
| Semigroup PluginRecompile | |
Defined in GHC.Driver.Plugins Methods (<>) :: PluginRecompile -> PluginRecompile -> PluginRecompile # sconcat :: NonEmpty PluginRecompile -> PluginRecompile # stimes :: Integral b => b -> PluginRecompile -> PluginRecompile # | |
| Semigroup Ordering | Since: base-4.9.0.0 |
| Semigroup OsString | |
| Semigroup PosixString | |
Defined in System.OsString.Internal.Types Methods (<>) :: PosixString -> PosixString -> PosixString # sconcat :: NonEmpty PosixString -> PosixString # stimes :: Integral b => b -> PosixString -> PosixString # | |
| Semigroup WindowsString | |
Defined in System.OsString.Internal.Types Methods (<>) :: WindowsString -> WindowsString -> WindowsString # sconcat :: NonEmpty WindowsString -> WindowsString # stimes :: Integral b => b -> WindowsString -> WindowsString # | |
| Semigroup Doc | |
| Semigroup Builder | |
| Semigroup () | Since: base-4.9.0.0 |
| () :=> (Semigroup (Dict a)) | |
| () :=> (Semigroup Ordering) | |
| () :=> (Semigroup ()) | |
Defined in Data.Constraint | |
| () :=> (Semigroup [a]) | |
Defined in Data.Constraint | |
| Class () (Semigroup a) | |
Defined in Data.Constraint | |
| Bits a => Semigroup (And a) | Since: base-4.16 |
| FiniteBits a => Semigroup (Iff a) | This constraint is arguably
too strong. However, as some types (such as Since: base-4.16 |
| Bits a => Semigroup (Ior a) | Since: base-4.16 |
| Bits a => Semigroup (Xor a) | Since: base-4.16 |
| Semigroup (FromMaybe b) | |
| Semigroup a => Semigroup (JoinWith a) | |
| Semigroup (NonEmptyDList a) | |
| Semigroup (Comparison a) |
(<>) :: Comparison a -> Comparison a -> Comparison a Comparison cmp <> Comparison cmp' = Comparison a a' -> cmp a a' <> cmp a a' |
Defined in Data.Functor.Contravariant Methods (<>) :: Comparison a -> Comparison a -> Comparison a # sconcat :: NonEmpty (Comparison a) -> Comparison a # stimes :: Integral b => b -> Comparison a -> Comparison a # | |
| Semigroup (Equivalence a) |
(<>) :: Equivalence a -> Equivalence a -> Equivalence a Equivalence equiv <> Equivalence equiv' = Equivalence a b -> equiv a b && equiv' a b |
Defined in Data.Functor.Contravariant Methods (<>) :: Equivalence a -> Equivalence a -> Equivalence a # sconcat :: NonEmpty (Equivalence a) -> Equivalence a # stimes :: Integral b => b -> Equivalence a -> Equivalence a # | |
| Semigroup (Predicate a) |
(<>) :: Predicate a -> Predicate a -> Predicate a Predicate pred <> Predicate pred' = Predicate a -> pred a && pred' a |
| Semigroup a => Semigroup (Identity a) | Since: base-4.9.0.0 |
| Ord a => Semigroup (Max a) | Since: base-4.11.0.0 |
| Ord a => Semigroup (Min a) | Since: base-4.11.0.0 |
| Semigroup (First a) | Since: base-4.9.0.0 |
| Semigroup (Last a) | Since: base-4.9.0.0 |
| Semigroup a => Semigroup (Down a) | Since: base-4.11.0.0 |
| Semigroup (First a) | Since: base-4.9.0.0 |
| Semigroup (Last a) | Since: base-4.9.0.0 |
| Ord a => Semigroup (Max a) | Since: base-4.9.0.0 |
| Ord a => Semigroup (Min a) | Since: base-4.9.0.0 |
| Monoid m => Semigroup (WrappedMonoid m) | Since: base-4.9.0.0 |
Defined in Data.Semigroup Methods (<>) :: WrappedMonoid m -> WrappedMonoid m -> WrappedMonoid m # sconcat :: NonEmpty (WrappedMonoid m) -> WrappedMonoid m # stimes :: Integral b => b -> WrappedMonoid m -> WrappedMonoid m # | |
| Semigroup a => Semigroup (Dual a) | Since: base-4.9.0.0 |
| Semigroup (Endo a) | Since: base-4.9.0.0 |
| Num a => Semigroup (Product a) | Since: base-4.9.0.0 |
| Num a => Semigroup (Sum a) | Since: base-4.9.0.0 |
| Semigroup (NonEmpty a) | Since: base-4.9.0.0 |
| (Generic a, Semigroup (Rep a ())) => Semigroup (Generically a) | Since: base-4.17.0.0 |
Defined in GHC.Generics Methods (<>) :: Generically a -> Generically a -> Generically a # sconcat :: NonEmpty (Generically a) -> Generically a # stimes :: Integral b => b -> Generically a -> Generically a # | |
| Semigroup p => Semigroup (Par1 p) | Since: base-4.12.0.0 |
| Semigroup (PutM ()) | |
| Semigroup a => Semigroup (SimOnly a) Source # | |
| Semigroup (Dict a) | |
| Semigroup (IntMap a) | Since: containers-0.5.7 |
| Semigroup (Seq a) | Since: containers-0.5.7 |
| Ord a => Semigroup (Intersection a) | |
Defined in Data.Set.Internal Methods (<>) :: Intersection a -> Intersection a -> Intersection a # sconcat :: NonEmpty (Intersection a) -> Intersection a # stimes :: Integral b => b -> Intersection a -> Intersection a # | |
| Semigroup (MergeSet a) | |
| Ord a => Semigroup (Set a) | Since: containers-0.5.7 |
| Semigroup a => Semigroup (IO a) | Since: base-4.10.0.0 |
| Semigroup (FromMaybe b) | |
| Semigroup (Leftmost a) | |
| Semigroup (NonEmptyDList a) | |
Defined in Control.Lens.Internal.Fold Methods (<>) :: NonEmptyDList a -> NonEmptyDList a -> NonEmptyDList a # sconcat :: NonEmpty (NonEmptyDList a) -> NonEmptyDList a # stimes :: Integral b => b -> NonEmptyDList a -> NonEmptyDList a # | |
| Semigroup (Rightmost a) | |
| Semigroup (Doc a) | |
| Semigroup (Array a) | Since: primitive-0.6.3.0 |
| Semigroup (PrimArray a) | Since: primitive-0.6.4.0 |
| Semigroup (SmallArray a) | Since: primitive-0.6.3.0 |
Defined in Data.Primitive.SmallArray Methods (<>) :: SmallArray a -> SmallArray a -> SmallArray a # sconcat :: NonEmpty (SmallArray a) -> SmallArray a # stimes :: Integral b => b -> SmallArray a -> SmallArray a # | |
| Semigroup a => Semigroup (Maybe a) | |
| Semigroup a => Semigroup (Q a) | Since: template-haskell-2.17.0.0 |
| (Hashable a, Eq a) => Semigroup (HashSet a) | \(O(n+m)\) To obtain good performance, the smaller set must be presented as the first argument. Examples
|
| Semigroup (Vector a) | |
| Prim a => Semigroup (Vector a) | |
| Storable a => Semigroup (Vector a) | |
| Semigroup (Vector a) | |
| Semigroup a => Semigroup (Maybe a) | Since: base-4.9.0.0 |
| Semigroup a => Semigroup (a) | Since: base-4.15 |
| Semigroup [a] | Since: base-4.9.0.0 |
| (Semigroup a) :=> (Semigroup (Const a b)) | |
| (Semigroup a) :=> (Semigroup (Identity a)) | |
| (Semigroup a) :=> (Semigroup (IO a)) | |
| (Semigroup a) :=> (Semigroup (Maybe a)) | |
| Class (Semigroup a) (Monoid a) | |
| Semigroup (Either a b) | Since: base-4.9.0.0 |
| Semigroup a => Semigroup (Op a b) |
(<>) :: Op a b -> Op a b -> Op a b Op f <> Op g = Op a -> f a <> g a |
| Semigroup (Proxy s) | Since: base-4.9.0.0 |
| Semigroup (U1 p) | Since: base-4.12.0.0 |
| Semigroup (V1 p) | Since: base-4.12.0.0 |
| Semigroup a => Semigroup (ST s a) | Since: base-4.11.0.0 |
| (KnownNat n, Semigroup a) => Semigroup (Vec n a) Source # | |
| Ord k => Semigroup (Map k v) | |
| (Contravariant f, Applicative f) => Semigroup (Folding f a) | |
| Monad m => Semigroup (Sequenced a m) | |
| Applicative f => Semigroup (Traversed a f) | |
| Apply f => Semigroup (TraversedF a f) | |
Defined in Control.Lens.Internal.Fold Methods (<>) :: TraversedF a f -> TraversedF a f -> TraversedF a f # sconcat :: NonEmpty (TraversedF a f) -> TraversedF a f # stimes :: Integral b => b -> TraversedF a f -> TraversedF a f # | |
| Semigroup (f a) => Semigroup (Indexing f a) | |
| Semigroup (Deepening i a) | |
| Semigroup (ReifiedFold s a) | |
Defined in Control.Lens.Reified Methods (<>) :: ReifiedFold s a -> ReifiedFold s a -> ReifiedFold s a # sconcat :: NonEmpty (ReifiedFold s a) -> ReifiedFold s a # stimes :: Integral b => b -> ReifiedFold s a -> ReifiedFold s a # | |
| Semigroup (Either a b) | |
| (Semigroup a, Semigroup b) => Semigroup (These a b) | |
| (Semigroup a, Semigroup b) => Semigroup (Pair a b) | |
| (Semigroup a, Semigroup b) => Semigroup (These a b) | |
| (Eq k, Hashable k) => Semigroup (HashMap k v) | If a key occurs in both maps, the mapping from the first will be the mapping in the result. Examples
|
| (Semigroup a, Semigroup b) => Semigroup (a, b) | Since: base-4.9.0.0 |
| Semigroup b => Semigroup (a -> b) | Since: base-4.9.0.0 |
| (Semigroup a, Semigroup b) :=> (Semigroup (a, b)) | |
| ArrowPlus a => Semigroup (Automaton a b c) | |
| Semigroup a => Semigroup (Const a b) | Since: base-4.9.0.0 |
| (Applicative f, Semigroup a) => Semigroup (Ap f a) | Since: base-4.12.0.0 |
| Alternative f => Semigroup (Alt f a) | Since: base-4.9.0.0 |
| Semigroup (f p) => Semigroup (Rec1 f p) | Since: base-4.12.0.0 |
| Semigroup (BiSignalOut defaultState dom n) Source # | NB: Not synthesizable |
Defined in Clash.Signal.BiSignal Methods (<>) :: BiSignalOut defaultState dom n -> BiSignalOut defaultState dom n -> BiSignalOut defaultState dom n # sconcat :: NonEmpty (BiSignalOut defaultState dom n) -> BiSignalOut defaultState dom n # stimes :: Integral b => b -> BiSignalOut defaultState dom n -> BiSignalOut defaultState dom n # | |
| Monad m => Semigroup (Sequenced a m) | |
| Applicative f => Semigroup (Traversed a f) | |
| Semigroup (ReifiedIndexedFold i s a) | |
Defined in Control.Lens.Reified Methods (<>) :: ReifiedIndexedFold i s a -> ReifiedIndexedFold i s a -> ReifiedIndexedFold i s a # sconcat :: NonEmpty (ReifiedIndexedFold i s a) -> ReifiedIndexedFold i s a # stimes :: Integral b => b -> ReifiedIndexedFold i s a -> ReifiedIndexedFold i s a # | |
| Reifies s (ReifiedMonoid a) => Semigroup (ReflectedMonoid a s) | |
Defined in Data.Reflection Methods (<>) :: ReflectedMonoid a s -> ReflectedMonoid a s -> ReflectedMonoid a s # sconcat :: NonEmpty (ReflectedMonoid a s) -> ReflectedMonoid a s # stimes :: Integral b => b -> ReflectedMonoid a s -> ReflectedMonoid a s # | |
| Semigroup a => Semigroup (Tagged s a) | |
| Semigroup a => Semigroup (Constant a b) | |
| (Semigroup a, Semigroup b, Semigroup c) => Semigroup (a, b, c) | Since: base-4.9.0.0 |
| (Semigroup (f a), Semigroup (g a)) => Semigroup (Product f g a) | Since: base-4.16.0.0 |
| (Semigroup (f p), Semigroup (g p)) => Semigroup ((f :*: g) p) | Since: base-4.12.0.0 |
| Semigroup c => Semigroup (K1 i c p) | Since: base-4.12.0.0 |
| (Semigroup a, Semigroup b, Semigroup c, Semigroup d) => Semigroup (a, b, c, d) | Since: base-4.9.0.0 |
| Semigroup (f (g a)) => Semigroup (Compose f g a) | Since: base-4.16.0.0 |
| Semigroup (f (g p)) => Semigroup ((f :.: g) p) | Since: base-4.12.0.0 |
| Semigroup (f p) => Semigroup (M1 i c f p) | Since: base-4.12.0.0 |
| Contravariant g => Semigroup (BazaarT p g a b t) | |
| Contravariant g => Semigroup (BazaarT1 p g a b t) | |
| (Semigroup a, Semigroup b, Semigroup c, Semigroup d, Semigroup e) => Semigroup (a, b, c, d, e) | Since: base-4.9.0.0 |
class Functor f => Applicative (f :: Type -> Type) 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.
Example
Used in combination with (, <$>)( can be used to build a record.<*>)
>>>data MyState = MyState {arg1 :: Foo, arg2 :: Bar, arg3 :: Baz}
>>>produceFoo :: Applicative f => f Foo
>>>produceBar :: Applicative f => f Bar>>>produceBaz :: Applicative f => f Baz
>>>mkState :: Applicative f => f MyState>>>mkState = MyState <$> produceFoo <*> produceBar <*> produceBaz
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 <*>.
This became a typeclass method in 4.10.0.0. Prior to that, it was
a function defined in terms of <*> and fmap.
Example
>>>liftA2 (,) (Just 3) (Just 5)Just (3,5)
(*>) :: f a -> f b -> f b infixl 4 #
Sequence actions, discarding the value of the first argument.
Examples
If used in conjunction with the Applicative instance for Maybe,
you can chain Maybe computations, with a possible "early return"
in case of Nothing.
>>>Just 2 *> Just 3Just 3
>>>Nothing *> Just 3Nothing
Of course a more interesting use case would be to have effectful computations instead of just returning pure values.
>>>import Data.Char>>>import Text.ParserCombinators.ReadP>>>let p = string "my name is " *> munch1 isAlpha <* eof>>>readP_to_S p "my name is Simon"[("Simon","")]
(<*) :: f a -> f b -> f a infixl 4 #
Sequence actions, discarding the value of the second argument.
Instances
| Applicative Gen | |
| Applicative Rose | |
| Applicative ZipList | f <$> ZipList xs1 <*> ... <*> ZipList xsN
= ZipList (zipWithN f xs1 ... xsN)where (\a b c -> stimes c [a, b]) <$> ZipList "abcd" <*> ZipList "567" <*> ZipList [1..]
= ZipList (zipWith3 (\a b c -> stimes c [a, b]) "abcd" "567" [1..])
= ZipList {getZipList = ["a5","b6b6","c7c7c7"]}Since: base-2.1 |
| Applicative Complex | Since: base-4.9.0.0 |
| Applicative Identity | Since: base-4.8.0.0 |
| Applicative First | Since: base-4.8.0.0 |
| Applicative Last | Since: base-4.8.0.0 |
| Applicative Down | Since: base-4.11.0.0 |
| Applicative First | Since: base-4.9.0.0 |
| Applicative Last | Since: base-4.9.0.0 |
| Applicative Max | Since: base-4.9.0.0 |
| Applicative Min | Since: base-4.9.0.0 |
| Applicative Dual | Since: base-4.8.0.0 |
| Applicative Product | Since: base-4.8.0.0 |
| Applicative Sum | Since: base-4.8.0.0 |
| Applicative NonEmpty | Since: base-4.9.0.0 |
| Applicative Par1 | Since: base-4.9.0.0 |
| Applicative P | Since: base-4.5.0.0 |
| Applicative ReadP | Since: base-4.6.0.0 |
| Applicative ReadPrec | Since: base-4.6.0.0 |
| Applicative Get | |
| Applicative PutM | |
| Applicative Put | |
| Applicative SimIO Source # | |
| Applicative SimOnly Source # | |
| Applicative MaybeX Source # | Note that |
| Applicative Seq | Since: containers-0.5.4 |
| Applicative Tree | |
| Applicative IO | Since: base-2.1 |
| Applicative Array | |
| Applicative SmallArray | |
Defined in Data.Primitive.SmallArray Methods pure :: a -> SmallArray a # (<*>) :: SmallArray (a -> b) -> SmallArray a -> SmallArray b # liftA2 :: (a -> b -> c) -> SmallArray a -> SmallArray b -> SmallArray c # (*>) :: SmallArray a -> SmallArray b -> SmallArray b # (<*) :: SmallArray a -> SmallArray b -> SmallArray a # | |
| Applicative PprM | |
| Applicative Q | |
| Applicative Vector | |
| Applicative Vector | |
| Applicative Maybe | Since: base-2.1 |
| Applicative Solo | Since: base-4.15 |
| Applicative List | Since: base-2.1 |
| () :=> (Applicative (Either a)) | |
Defined in Data.Constraint Methods ins :: () :- Applicative (Either a) # | |
| () :=> (Applicative IO) | |
Defined in Data.Constraint Methods ins :: () :- Applicative IO # | |
| () :=> (Applicative Maybe) | |
Defined in Data.Constraint Methods ins :: () :- Applicative Maybe # | |
| () :=> (Applicative ((->) a)) | |
Defined in Data.Constraint Methods ins :: () :- Applicative ((->) a) # | |
| () :=> (Applicative List) | |
Defined in Data.Constraint Methods ins :: () :- Applicative List # | |
| Representable f => Applicative (Co f) | |
| Monad m => Applicative (WrappedMonad m) | Since: base-2.1 |
Defined in Control.Applicative Methods pure :: a -> WrappedMonad m a # (<*>) :: WrappedMonad m (a -> b) -> WrappedMonad m a -> WrappedMonad m b # liftA2 :: (a -> b -> c) -> WrappedMonad m a -> WrappedMonad m b -> WrappedMonad m c # (*>) :: WrappedMonad m a -> WrappedMonad m b -> WrappedMonad m b # (<*) :: WrappedMonad m a -> WrappedMonad m b -> WrappedMonad m a # | |
| Arrow a => Applicative (ArrowMonad a) | Since: base-4.6.0.0 |
Defined in Control.Arrow Methods pure :: a0 -> ArrowMonad a a0 # (<*>) :: ArrowMonad a (a0 -> b) -> ArrowMonad a a0 -> ArrowMonad a b # liftA2 :: (a0 -> b -> c) -> ArrowMonad a a0 -> ArrowMonad a b -> ArrowMonad a c # (*>) :: ArrowMonad a a0 -> ArrowMonad a b -> ArrowMonad a b # (<*) :: ArrowMonad a a0 -> ArrowMonad a b -> ArrowMonad a a0 # | |
| Applicative (Either e) | Since: base-3.0 |
| Applicative (StateL s) | Since: base-4.0 |
| Applicative (StateR s) | Since: base-4.0 |
| Applicative (Proxy :: Type -> Type) | Since: base-4.7.0.0 |
| Applicative (U1 :: Type -> Type) | Since: base-4.9.0.0 |
| Applicative (ST s) | Since: base-4.4.0.0 |
| Applicative (Signal dom) Source # | |
Defined in Clash.Signal.Internal | |
| KnownNat d => Applicative (RTree d) Source # | |
| KnownNat n => Applicative (Vec n) Source # | |
| Alternative f => Applicative (Cofree f) | |
| Functor f => Applicative (Free f) | |
| Applicative f => Applicative (Yoneda f) | |
| Applicative f => Applicative (Indexing f) | |
Defined in Control.Lens.Internal.Indexed | |
| Applicative f => Applicative (Indexing64 f) | |
Defined in Control.Lens.Internal.Indexed Methods pure :: a -> Indexing64 f a # (<*>) :: Indexing64 f (a -> b) -> Indexing64 f a -> Indexing64 f b # liftA2 :: (a -> b -> c) -> Indexing64 f a -> Indexing64 f b -> Indexing64 f c # (*>) :: Indexing64 f a -> Indexing64 f b -> Indexing64 f b # (<*) :: Indexing64 f a -> Indexing64 f b -> Indexing64 f a # | |
| Applicative (ReifiedFold s) | |
Defined in Control.Lens.Reified Methods pure :: a -> ReifiedFold s a # (<*>) :: ReifiedFold s (a -> b) -> ReifiedFold s a -> ReifiedFold s b # liftA2 :: (a -> b -> c) -> ReifiedFold s a -> ReifiedFold s b -> ReifiedFold s c # (*>) :: ReifiedFold s a -> ReifiedFold s b -> ReifiedFold s b # (<*) :: ReifiedFold s a -> ReifiedFold s b -> ReifiedFold s a # | |
| Applicative (ReifiedGetter s) | |
Defined in Control.Lens.Reified Methods pure :: a -> ReifiedGetter s a # (<*>) :: ReifiedGetter s (a -> b) -> ReifiedGetter s a -> ReifiedGetter s b # liftA2 :: (a -> b -> c) -> ReifiedGetter s a -> ReifiedGetter s b -> ReifiedGetter s c # (*>) :: ReifiedGetter s a -> ReifiedGetter s b -> ReifiedGetter s b # (<*) :: ReifiedGetter s a -> ReifiedGetter s b -> ReifiedGetter s a # | |
| Semigroup a => Applicative (These a) | |
| Semigroup a => Applicative (These a) | |
| Applicative f => Applicative (Lift f) | A combination is |
| (Functor m, Monad m) => Applicative (MaybeT m) | |
| Monoid a => Applicative ((,) a) | For tuples, the ("hello ", (+15)) <*> ("world!", 2002)
("hello world!",2017)Since: base-2.1 |
| (Monad m) :=> (Applicative (WrappedMonad m)) | |
Defined in Data.Constraint Methods ins :: Monad m :- Applicative (WrappedMonad m) # | |
| (Monoid a) :=> (Applicative (Const a :: Type -> Type)) | |
Defined in Data.Constraint | |
| (Monoid a) :=> (Applicative ((,) a)) | |
Defined in Data.Constraint | |
| Class (Applicative f) (Alternative f) | |
Defined in Data.Constraint Methods cls :: Alternative f :- Applicative f # | |
| Class (Applicative f) (Monad f) | |
Defined in Data.Constraint Methods cls :: Monad f :- Applicative f # | |
| Class (Functor f) (Applicative f) | |
Defined in Data.Constraint Methods cls :: Applicative f :- Functor f # | |
| Arrow a => Applicative (Automaton a b) | |
Defined in Control.Arrow.Transformer.Automaton Methods pure :: a0 -> Automaton a b a0 # (<*>) :: Automaton a b (a0 -> b0) -> Automaton a b a0 -> Automaton a b b0 # liftA2 :: (a0 -> b0 -> c) -> Automaton a b a0 -> Automaton a b b0 -> Automaton a b c # (*>) :: Automaton a b a0 -> Automaton a b b0 -> Automaton a b b0 # (<*) :: Automaton a b a0 -> Automaton a b b0 -> Automaton a b a0 # | |
| Arrow a => Applicative (WrappedArrow a b) | Since: base-2.1 |
Defined in Control.Applicative Methods pure :: a0 -> WrappedArrow a b a0 # (<*>) :: WrappedArrow a b (a0 -> b0) -> WrappedArrow a b a0 -> WrappedArrow a b b0 # liftA2 :: (a0 -> b0 -> c) -> WrappedArrow a b a0 -> WrappedArrow a b b0 -> WrappedArrow a b c # (*>) :: WrappedArrow a b a0 -> WrappedArrow a b b0 -> WrappedArrow a b b0 # (<*) :: WrappedArrow a b a0 -> WrappedArrow a b b0 -> WrappedArrow a b a0 # | |
| Applicative m => Applicative (Kleisli m a) | Since: base-4.14.0.0 |
Defined in Control.Arrow | |
| Monoid m => Applicative (Const m :: Type -> Type) | Since: base-2.0.1 |
| Monad m => Applicative (StateT s m) | Since: base-4.18.0.0 |
Defined in Data.Functor.Utils | |
| Applicative f => Applicative (Ap f) | Since: base-4.12.0.0 |
| Applicative f => Applicative (Alt f) | Since: base-4.8.0.0 |
| (Generic1 f, Applicative (Rep1 f)) => Applicative (Generically1 f) | Since: base-4.17.0.0 |
Defined in GHC.Generics Methods pure :: a -> Generically1 f a # (<*>) :: Generically1 f (a -> b) -> Generically1 f a -> Generically1 f b # liftA2 :: (a -> b -> c) -> Generically1 f a -> Generically1 f b -> Generically1 f c # (*>) :: Generically1 f a -> Generically1 f b -> Generically1 f b # (<*) :: Generically1 f a -> Generically1 f b -> Generically1 f a # | |
| Applicative f => Applicative (Rec1 f) | Since: base-4.9.0.0 |
| Biapplicative p => Applicative (Fix p) | |
| Biapplicative p => Applicative (Join p) | |
| Applicative (DSignal dom delay) Source # | |
Defined in Clash.Signal.Delayed.Internal Methods pure :: a -> DSignal dom delay a # (<*>) :: DSignal dom delay (a -> b) -> DSignal dom delay a -> DSignal dom delay b # liftA2 :: (a -> b -> c) -> DSignal dom delay a -> DSignal dom delay b -> DSignal dom delay c # (*>) :: DSignal dom delay a -> DSignal dom delay b -> DSignal dom delay b # (<*) :: DSignal dom delay a -> DSignal dom delay b -> DSignal dom delay a # | |
| (Monoid e, Applicative m) => Applicative (EnvT e m) | |
| (Applicative f, Monad f) => Applicative (WhenMissing f x) | Equivalent to Since: containers-0.5.9 |
Defined in Data.IntMap.Internal Methods pure :: a -> WhenMissing f x a # (<*>) :: WhenMissing f x (a -> b) -> WhenMissing f x a -> WhenMissing f x b # liftA2 :: (a -> b -> c) -> WhenMissing f x a -> WhenMissing f x b -> WhenMissing f x c # (*>) :: WhenMissing f x a -> WhenMissing f x b -> WhenMissing f x b # (<*) :: WhenMissing f x a -> WhenMissing f x b -> WhenMissing f x a # | |
| (Alternative f, Applicative w) => Applicative (CofreeT f w) | |
Defined in Control.Comonad.Trans.Cofree | |
| (Functor f, Monad m) => Applicative (FreeT f m) | |
Defined in Control.Monad.Trans.Free | |
| Applicative f => Applicative (Indexing f) | |
| (Applicative f, Applicative g) => Applicative (Day f g) | |
| Applicative (Indexed i a) | |
Defined in Control.Lens.Internal.Indexed | |
| Applicative (Flows i b) | This is an illegal |
Defined in Control.Lens.Internal.Level | |
| Applicative (Mafic a b) | |
Defined in Control.Lens.Internal.Magma | |
| Monoid m => Applicative (Holes t m) | |
| (Applicative (Rep p), Representable p) => Applicative (Prep p) | |
| Applicative (Tagged s) | |
| Applicative f => Applicative (Backwards f) | Apply |
Defined in Control.Applicative.Backwards | |
| (Monoid w, Functor m, Monad m) => Applicative (AccumT w m) | |
Defined in Control.Monad.Trans.Accum | |
| (Functor m, Monad m) => Applicative (ExceptT e m) | |
Defined in Control.Monad.Trans.Except | |
| Applicative m => Applicative (IdentityT m) | |
Defined in Control.Monad.Trans.Identity | |
| Applicative m => Applicative (ReaderT r m) | |
Defined in Control.Monad.Trans.Reader | |
| (Functor m, Monad m) => Applicative (SelectT r m) | |
Defined in Control.Monad.Trans.Select | |
| (Functor m, Monad m) => Applicative (StateT s m) | |
Defined in Control.Monad.Trans.State.Lazy | |
| (Functor m, Monad m) => Applicative (StateT s m) | |
Defined in Control.Monad.Trans.State.Strict | |
| (Functor m, Monad m) => Applicative (WriterT w m) | |
Defined in Control.Monad.Trans.Writer.CPS | |
| (Monoid w, Applicative m) => Applicative (WriterT w m) | |
Defined in Control.Monad.Trans.Writer.Lazy | |
| (Monoid w, Applicative m) => Applicative (WriterT w m) | |
Defined in Control.Monad.Trans.Writer.Strict | |
| Monoid a => Applicative (Constant a :: Type -> Type) | |
Defined in Data.Functor.Constant | |
| Applicative f => Applicative (Reverse f) | Derived instance. |
| (Monoid a, Monoid b) => Applicative ((,,) a b) | Since: base-4.14.0.0 |
| (Applicative f, Applicative g) => Applicative (Product f g) | Since: base-4.9.0.0 |
Defined in Data.Functor.Product | |
| (Applicative f, Applicative g) => Applicative (f :*: g) | Since: base-4.9.0.0 |
| Monoid c => Applicative (K1 i c :: Type -> Type) | Since: base-4.12.0.0 |
| Applicative (Cokleisli w a) | |
Defined in Control.Comonad Methods pure :: a0 -> Cokleisli w a a0 # (<*>) :: Cokleisli w a (a0 -> b) -> Cokleisli w a a0 -> Cokleisli w a b # liftA2 :: (a0 -> b -> c) -> Cokleisli w a a0 -> Cokleisli w a b -> Cokleisli w a c # (*>) :: Cokleisli w a a0 -> Cokleisli w a b -> Cokleisli w a b # (<*) :: Cokleisli w a a0 -> Cokleisli w a b -> Cokleisli w a a0 # | |
| (Monad f, Applicative f) => Applicative (WhenMatched f x y) | Equivalent to Since: containers-0.5.9 |
Defined in Data.IntMap.Internal Methods pure :: a -> WhenMatched f x y a # (<*>) :: WhenMatched f x y (a -> b) -> WhenMatched f x y a -> WhenMatched f x y b # liftA2 :: (a -> b -> c) -> WhenMatched f x y a -> WhenMatched f x y b -> WhenMatched f x y c # (*>) :: WhenMatched f x y 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 a # | |
| (Applicative f, Monad f) => Applicative (WhenMissing f k x) | Equivalent to Since: containers-0.5.9 |
Defined in Data.Map.Internal Methods pure :: a -> WhenMissing f k x a # (<*>) :: WhenMissing f k x (a -> b) -> WhenMissing f k x a -> WhenMissing f k x b # liftA2 :: (a -> b -> c) -> WhenMissing f k x a -> WhenMissing f k x b -> WhenMissing f k x c # (*>) :: WhenMissing f k x 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 a # | |
| Applicative (Bazaar p a b) | |
Defined in Control.Lens.Internal.Bazaar Methods pure :: a0 -> Bazaar p a b a0 # (<*>) :: Bazaar p a b (a0 -> b0) -> Bazaar p a b a0 -> Bazaar p a b b0 # liftA2 :: (a0 -> b0 -> c) -> Bazaar p a b a0 -> Bazaar p a b b0 -> Bazaar p a b c # (*>) :: Bazaar p a b a0 -> Bazaar p a b b0 -> Bazaar p a b b0 # (<*) :: Bazaar p a b a0 -> Bazaar p a b b0 -> Bazaar p a b a0 # | |
| Applicative (Molten i a b) | |
Defined in Control.Lens.Internal.Magma Methods pure :: a0 -> Molten i a b a0 # (<*>) :: Molten i a b (a0 -> b0) -> Molten i a b a0 -> Molten i a b b0 # liftA2 :: (a0 -> b0 -> c) -> Molten i a b a0 -> Molten i a b b0 -> Molten i a b c # (*>) :: Molten i a b a0 -> Molten i a b b0 -> Molten i a b b0 # (<*) :: Molten i a b a0 -> Molten i a b b0 -> Molten i a b a0 # | |
| Applicative (ContT r m) | |
Defined in Control.Monad.Trans.Cont | |
| (Monoid a, Monoid b, Monoid c) => Applicative ((,,,) a b c) | Since: base-4.14.0.0 |
Defined in GHC.Base | |
| Applicative ((->) r) | Since: base-2.1 |
| (Applicative f, Applicative g) => Applicative (Compose f g) | Since: base-4.9.0.0 |
Defined in Data.Functor.Compose | |
| (Applicative f, Applicative g) => Applicative (f :.: g) | Since: base-4.9.0.0 |
| Applicative f => Applicative (M1 i c f) | Since: base-4.9.0.0 |
| (Monad f, Applicative f) => Applicative (WhenMatched f k x y) | Equivalent to Since: containers-0.5.9 |
Defined in Data.Map.Internal Methods pure :: a -> WhenMatched f k x y a # (<*>) :: WhenMatched f k x y (a -> b) -> WhenMatched f k x y a -> WhenMatched f k x y b # liftA2 :: (a -> b -> c) -> WhenMatched f k x y a -> WhenMatched f k x y b -> WhenMatched f k x y c # (*>) :: WhenMatched f k x y 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 a # | |
| Applicative (BazaarT p g a b) | |
Defined in Control.Lens.Internal.Bazaar Methods pure :: a0 -> BazaarT p g a b a0 # (<*>) :: BazaarT p g a b (a0 -> b0) -> BazaarT p g a b a0 -> BazaarT p g a b b0 # liftA2 :: (a0 -> b0 -> c) -> BazaarT p g a b a0 -> BazaarT p g a b b0 -> BazaarT p g a b c # (*>) :: BazaarT p g a b a0 -> BazaarT p g a b b0 -> BazaarT p g a b b0 # (<*) :: BazaarT p g a b a0 -> BazaarT p g a b b0 -> BazaarT p g a b a0 # | |
| Applicative (TakingWhile p f a b) | |
Defined in Control.Lens.Internal.Magma Methods pure :: a0 -> TakingWhile p f a b a0 # (<*>) :: TakingWhile p f a b (a0 -> b0) -> TakingWhile p f a b a0 -> TakingWhile p f a b b0 # liftA2 :: (a0 -> b0 -> c) -> TakingWhile p f a b a0 -> TakingWhile p f a b b0 -> TakingWhile p f a b c # (*>) :: TakingWhile p f a b a0 -> TakingWhile p f a b b0 -> TakingWhile p f a b b0 # (<*) :: TakingWhile p f a b a0 -> TakingWhile p f a b b0 -> TakingWhile p f a b a0 # | |
| Reifies s (ReifiedApplicative f) => Applicative (ReflectedApplicative f s) | |
Defined in Data.Reflection Methods pure :: a -> ReflectedApplicative f s a # (<*>) :: ReflectedApplicative f s (a -> b) -> ReflectedApplicative f s a -> ReflectedApplicative f s b # liftA2 :: (a -> b -> c) -> ReflectedApplicative f s a -> ReflectedApplicative f s b -> ReflectedApplicative f s c # (*>) :: ReflectedApplicative f s a -> ReflectedApplicative f s b -> ReflectedApplicative f s b # (<*) :: ReflectedApplicative f s a -> ReflectedApplicative f s b -> ReflectedApplicative f s a # | |
| (Functor m, Monad m) => Applicative (RWST r w s m) | |
Defined in Control.Monad.Trans.RWS.CPS | |
| (Monoid w, Functor m, Monad m) => Applicative (RWST r w s m) | |
Defined in Control.Monad.Trans.RWS.Lazy | |
| (Monoid w, Functor m, Monad m) => Applicative (RWST r w s m) | |
Defined in Control.Monad.Trans.RWS.Strict | |
class Functor (f :: Type -> Type) where #
A type f is a Functor if it provides a function fmap which, given any types a and b
lets you apply any function from (a -> b) to turn an f a into an f b, preserving the
structure of f. Furthermore f needs to adhere to the following:
Note, that the second law follows from the free theorem of the type fmap and
the first law, so you need only check that the former condition holds.
See https://www.schoolofhaskell.com/user/edwardk/snippets/fmap or
https://github.com/quchen/articles/blob/master/second_functor_law.md
for an explanation.
Minimal complete definition
Methods
fmap :: (a -> b) -> f a -> f b #
fmap is used to apply a function of type (a -> b) to a value of type f a,
where f is a functor, to produce a value of type f b.
Note that for any type constructor with more than one parameter (e.g., Either),
only the last type parameter can be modified with fmap (e.g., b in `Either a b`).
Some type constructors with two parameters or more have a Bifunctor
Examples
Convert from a Maybe IntMaybe String
using show:
>>>fmap show NothingNothing>>>fmap show (Just 3)Just "3"
Convert from an Either Int IntEither Int String using show:
>>>fmap show (Left 17)Left 17>>>fmap show (Right 17)Right "17"
Double each element of a list:
>>>fmap (*2) [1,2,3][2,4,6]
Apply even to the second element of a pair:
>>>fmap even (2,2)(2,True)
It may seem surprising that the function is only applied to the last element of the tuple
compared to the list example above which applies it to every element in the list.
To understand, remember that tuples are type constructors with multiple type parameters:
a tuple of 3 elements (a,b,c) can also be written (,,) a b c and its Functor instance
is defined for Functor ((,,) a b) (i.e., only the third parameter is free to be mapped over
with fmap).
It explains why fmap can be used with tuples containing values of different types as in the
following example:
>>>fmap even ("hello", 1.0, 4)("hello",1.0,True)
Instances
class Applicative m => Monad (m :: Type -> Type) 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:
- Left identity
returna>>=k = k a- Right identity
m>>=return= m- Associativity
m>>=(\x -> k x>>=h) = (m>>=k)>>=h
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.
'as ' can be understood as the >>= bsdo expression
do a <- as bs a
(>>) :: m a -> m b -> m b infixl 1 #
Sequentially compose two actions, discarding any value produced by the first, like sequencing operators (such as the semicolon) in imperative languages.
'as ' can be understood as the >> bsdo expression
do as bs
Inject a value into the monadic type.
Instances
| Monad Gen | |
| Monad Rose | |
| Monad Complex | Since: base-4.9.0.0 |
| Monad Identity | Since: base-4.8.0.0 |
| Monad First | Since: base-4.8.0.0 |
| Monad Last | Since: base-4.8.0.0 |
| Monad Down | Since: base-4.11.0.0 |
| Monad First | Since: base-4.9.0.0 |
| Monad Last | Since: base-4.9.0.0 |
| Monad Max | Since: base-4.9.0.0 |
| Monad Min | Since: base-4.9.0.0 |
| Monad Dual | Since: base-4.8.0.0 |
| Monad Product | Since: base-4.8.0.0 |
| Monad Sum | Since: base-4.8.0.0 |
| Monad NonEmpty | Since: base-4.9.0.0 |
| Monad Par1 | Since: base-4.9.0.0 |
| Monad P | Since: base-2.1 |
| Monad ReadP | Since: base-2.1 |
| Monad ReadPrec | Since: base-2.1 |
| Monad Get | |
| Monad PutM | |
| Monad Put | |
| Monad SimIO Source # | |
| Monad SimOnly Source # | |
| Monad Seq | |
| Monad Tree | |
| Monad IO | Since: base-2.1 |
| Monad Array | |
| 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 # | |
| Monad PprM | |
| Monad Q | |
| Monad Vector | |
| Monad Vector | |
| Monad Maybe | Since: base-2.1 |
| Monad Solo | Since: base-4.15 |
| Monad List | Since: base-2.1 |
| () :=> (Monad (Either a)) | |
| () :=> (Monad Identity) | |
| () :=> (Monad IO) | |
| () :=> (Monad ((->) a)) | |
Defined in Data.Constraint | |
| () :=> (Monad List) | |
| Representable f => Monad (Co f) | |
| Monad m => Monad (WrappedMonad m) | Since: base-4.7.0.0 |
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 # | |
| 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 # | |
| Monad (Either e) | Since: base-4.4.0.0 |
| Monad (Proxy :: Type -> Type) | Since: base-4.7.0.0 |
| Monad (U1 :: Type -> Type) | Since: base-4.9.0.0 |
| Monad (ST s) | Since: base-2.1 |
| Alternative f => Monad (Cofree f) | |
| Functor f => Monad (Free f) | |
| Monad m => Monad (Yoneda m) | |
| 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 # | |
| 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 # | |
| Semigroup a => Monad (These a) | |
| Semigroup a => Monad (These a) | |
| Monad m => Monad (MaybeT m) | |
| Monoid a => Monad ((,) a) | Since: base-4.9.0.0 |
| (Monad m) :=> (Applicative (WrappedMonad m)) | |
Defined in Data.Constraint Methods ins :: Monad m :- Applicative (WrappedMonad m) # | |
| (Monad m) :=> (Functor (WrappedMonad m)) | |
Defined in Data.Constraint | |
| Class (Applicative f) (Monad f) | |
Defined in Data.Constraint Methods cls :: Monad f :- Applicative f # | |
| Monad m => Monad (Kleisli m a) | Since: base-4.14.0.0 |
| Monad m => Monad (StateT s m) | Since: base-4.18.0.0 |
| Monad f => Monad (Ap f) | Since: base-4.12.0.0 |
| Monad f => Monad (Alt f) | Since: base-4.8.0.0 |
| Monad f => Monad (Rec1 f) | Since: base-4.9.0.0 |
| (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 # | |
| (Alternative f, Monad w) => Monad (CofreeT f w) | |
| (Functor f, Monad m) => Monad (FreeT f m) | |
| Monad (Indexed i a) | |
| (Monad (Rep p), Representable p) => Monad (Prep p) | |
| Monad (Tagged s) | |
| (Monoid w, Functor m, Monad m) => Monad (AccumT w m) | |
| Monad m => Monad (ExceptT e m) | |
| Monad m => Monad (IdentityT m) | |
| Monad m => Monad (ReaderT r m) | |
| Monad m => Monad (SelectT r m) | |
| Monad m => Monad (StateT s m) | |
| Monad m => Monad (StateT s m) | |
| Monad m => Monad (WriterT w m) | |
| (Monoid w, Monad m) => Monad (WriterT w m) | |
| (Monoid w, Monad m) => Monad (WriterT w m) | |
| Monad m => Monad (Reverse m) | Derived instance. |
| (Monoid a, Monoid b) => Monad ((,,) a b) | Since: base-4.14.0.0 |
| Class (Monad f, Alternative f) (MonadPlus f) | |
Defined in Data.Constraint | |
| (Monad f, Monad g) => Monad (Product f g) | Since: base-4.9.0.0 |
| (Monad f, Monad g) => Monad (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 # | |
| (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 # | |
| Monad (ContT r m) | |
| (Monoid a, Monoid b, Monoid c) => Monad ((,,,) a b c) | Since: base-4.14.0.0 |
| Monad ((->) r) | Since: base-2.1 |
| 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 # | |
| Monad m => Monad (RWST r w s m) | |
| (Monoid w, Monad m) => Monad (RWST r w s m) | |
| (Monoid w, Monad m) => Monad (RWST r w s m) | |
class Foldable (t :: Type -> Type) where #
The Foldable class represents data structures that can be reduced to a summary value one element at a time. Strict left-associative folds are a good fit for space-efficient reduction, while lazy right-associative folds are a good fit for corecursive iteration, or for folds that short-circuit after processing an initial subsequence of the structure's elements.
Instances can be derived automatically by enabling the DeriveFoldable
extension. For example, a derived instance for a binary tree might be:
{-# LANGUAGE DeriveFoldable #-}
data Tree a = Empty
| Leaf a
| Node (Tree a) a (Tree a)
deriving FoldableA more detailed description can be found in the Overview section of Data.Foldable.
For the class laws see the Laws section of Data.Foldable.
Methods
foldMap :: Monoid m => (a -> m) -> t a -> m #
Map each element of the structure into a monoid, and combine the
results with (. This fold is right-associative and lazy in the
accumulator. For strict left-associative folds consider <>)foldMap'
instead.
Examples
Basic usage:
>>>foldMap Sum [1, 3, 5]Sum {getSum = 9}
>>>foldMap Product [1, 3, 5]Product {getProduct = 15}
>>>foldMap (replicate 3) [1, 2, 3][1,1,1,2,2,2,3,3,3]
When a Monoid's ( is lazy in its second argument, <>)foldMap can
return a result even from an unbounded structure. For example, lazy
accumulation enables Data.ByteString.Builder to efficiently serialise
large data structures and produce the output incrementally:
>>>import qualified Data.ByteString.Lazy as L>>>import qualified Data.ByteString.Builder as B>>>let bld :: Int -> B.Builder; bld i = B.intDec i <> B.word8 0x20>>>let lbs = B.toLazyByteString $ foldMap bld [0..]>>>L.take 64 lbs"0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24"
Test whether the structure is empty. The default implementation is Left-associative and lazy in both the initial element and the accumulator. Thus optimised for structures where the first element can be accessed in constant time. Structures where this is not the case should have a non-default implementation.
Examples
Basic usage:
>>>null []True
>>>null [1]False
null is expected to terminate even for infinite structures.
The default implementation terminates provided the structure
is bounded on the left (there is a leftmost element).
>>>null [1..]False
Since: base-4.8.0.0
elem :: Eq a => a -> t a -> Bool infix 4 #
Does the element occur in the structure?
Note: elem is often used in infix form.
Examples
Basic usage:
>>>3 `elem` []False
>>>3 `elem` [1,2]False
>>>3 `elem` [1,2,3,4,5]True
For infinite structures, the default implementation of elem
terminates if the sought-after value exists at a finite distance
from the left side of the structure:
>>>3 `elem` [1..]True
>>>3 `elem` ([4..] ++ [3])* Hangs forever *
Since: base-4.8.0.0
The sum function computes the sum of the numbers of a structure.
Examples
Basic usage:
>>>sum []0
>>>sum [42]42
>>>sum [1..10]55
>>>sum [4.1, 2.0, 1.7]7.8
>>>sum [1..]* Hangs forever *
Since: base-4.8.0.0
product :: Num a => t a -> a #
The product function computes the product of the numbers of a
structure.
Examples
Basic usage:
>>>product []1
>>>product [42]42
>>>product [1..10]3628800
>>>product [4.1, 2.0, 1.7]13.939999999999998
>>>product [1..]* Hangs forever *
Since: base-4.8.0.0
Instances
| Foldable ZipList | Since: base-4.9.0.0 |
Defined in Control.Applicative Methods fold :: Monoid m => ZipList m -> m # foldMap :: Monoid m => (a -> m) -> ZipList a -> 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 Complex | Since: base-4.9.0.0 |
Defined in Data.Complex Methods fold :: Monoid m => Complex m -> m # foldMap :: Monoid m => (a -> m) -> Complex a -> 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 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 # 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 # 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 # 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 Down | Since: base-4.12.0.0 |
Defined in Data.Foldable Methods fold :: Monoid m => Down m -> m # foldMap :: Monoid m => (a -> m) -> Down a -> m # foldMap' :: Monoid m => (a -> m) -> Down a -> m # foldr :: (a -> b -> b) -> b -> Down a -> b # foldr' :: (a -> b -> b) -> b -> Down a -> b # foldl :: (b -> a -> b) -> b -> Down a -> b # foldl' :: (b -> a -> b) -> b -> Down a -> b # foldr1 :: (a -> a -> a) -> Down a -> a # foldl1 :: (a -> a -> a) -> Down a -> a # elem :: Eq a => a -> Down a -> Bool # maximum :: Ord a => Down 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 # 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 # 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 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 # 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 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 # 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 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 # 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 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 # 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 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 # 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 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 # 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 Par1 | Since: base-4.9.0.0 |
Defined in Data.Foldable Methods fold :: Monoid m => Par1 m -> m # foldMap :: Monoid m => (a -> m) -> Par1 a -> 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 PrimitiveGuard Source # | |
Defined in Clash.Annotations.Primitive Methods fold :: Monoid m => PrimitiveGuard m -> m # foldMap :: Monoid m => (a -> m) -> PrimitiveGuard a -> m # foldMap' :: Monoid m => (a -> m) -> PrimitiveGuard a -> m # foldr :: (a -> b -> b) -> b -> PrimitiveGuard a -> b # foldr' :: (a -> b -> b) -> b -> PrimitiveGuard a -> b # foldl :: (b -> a -> b) -> b -> PrimitiveGuard a -> b # foldl' :: (b -> a -> b) -> b -> PrimitiveGuard a -> b # foldr1 :: (a -> a -> a) -> PrimitiveGuard a -> a # foldl1 :: (a -> a -> a) -> PrimitiveGuard a -> a # toList :: PrimitiveGuard a -> [a] # null :: PrimitiveGuard a -> Bool # length :: PrimitiveGuard a -> Int # elem :: Eq a => a -> PrimitiveGuard a -> Bool # maximum :: Ord a => PrimitiveGuard a -> a # minimum :: Ord a => PrimitiveGuard a -> a # sum :: Num a => PrimitiveGuard a -> a # product :: Num a => PrimitiveGuard a -> a # | |
| Foldable SimOnly Source # | |
Defined in Clash.Magic Methods fold :: Monoid m => SimOnly m -> m # foldMap :: Monoid m => (a -> m) -> SimOnly a -> m # foldMap' :: Monoid m => (a -> m) -> SimOnly a -> m # foldr :: (a -> b -> b) -> b -> SimOnly a -> b # foldr' :: (a -> b -> b) -> b -> SimOnly a -> b # foldl :: (b -> a -> b) -> b -> SimOnly a -> b # foldl' :: (b -> a -> b) -> b -> SimOnly a -> b # foldr1 :: (a -> a -> a) -> SimOnly a -> a # foldl1 :: (a -> a -> a) -> SimOnly a -> a # elem :: Eq a => a -> SimOnly a -> Bool # maximum :: Ord a => SimOnly a -> a # minimum :: Ord a => SimOnly a -> a # | |
| Foldable Assertion' Source # | |
Defined in Clash.Verification.Internal Methods fold :: Monoid m => Assertion' m -> m # foldMap :: Monoid m => (a -> m) -> Assertion' a -> m # foldMap' :: Monoid m => (a -> m) -> Assertion' a -> m # foldr :: (a -> b -> b) -> b -> Assertion' a -> b # foldr' :: (a -> b -> b) -> b -> Assertion' a -> b # foldl :: (b -> a -> b) -> b -> Assertion' a -> b # foldl' :: (b -> a -> b) -> b -> Assertion' a -> b # foldr1 :: (a -> a -> a) -> Assertion' a -> a # foldl1 :: (a -> a -> a) -> Assertion' a -> a # toList :: Assertion' a -> [a] # null :: Assertion' a -> Bool # length :: Assertion' a -> Int # elem :: Eq a => a -> Assertion' a -> Bool # maximum :: Ord a => Assertion' a -> a # minimum :: Ord a => Assertion' a -> a # sum :: Num a => Assertion' a -> a # product :: Num a => Assertion' a -> a # | |
| Foldable Property' Source # | |
Defined in Clash.Verification.Internal Methods fold :: Monoid m => Property' m -> m # foldMap :: Monoid m => (a -> m) -> Property' a -> m # foldMap' :: Monoid m => (a -> m) -> Property' a -> m # foldr :: (a -> b -> b) -> b -> Property' a -> b # foldr' :: (a -> b -> b) -> b -> Property' a -> b # foldl :: (b -> a -> b) -> b -> Property' a -> b # foldl' :: (b -> a -> b) -> b -> Property' a -> b # foldr1 :: (a -> a -> a) -> Property' a -> a # foldl1 :: (a -> a -> a) -> Property' a -> a # toList :: Property' a -> [a] # length :: Property' a -> Int # elem :: Eq a => a -> Property' a -> Bool # maximum :: Ord a => Property' a -> a # minimum :: Ord a => Property' a -> a # | |
| Foldable IntMap | Folds in order of increasing key. |
Defined in Data.IntMap.Internal Methods fold :: Monoid m => IntMap m -> m # foldMap :: Monoid m => (a -> m) -> IntMap a -> 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 Digit | |
Defined in Data.Sequence.Internal Methods fold :: Monoid m => Digit m -> m # foldMap :: Monoid m => (a -> m) -> Digit a -> 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 Elem | |
Defined in Data.Sequence.Internal Methods fold :: Monoid m => Elem m -> m # foldMap :: Monoid m => (a -> m) -> Elem a -> 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 FingerTree | |
Defined in Data.Sequence.Internal Methods fold :: Monoid m => FingerTree m -> m # foldMap :: Monoid m => (a -> m) -> FingerTree a -> 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 Node | |
Defined in Data.Sequence.Internal Methods fold :: Monoid m => Node m -> m # foldMap :: Monoid m => (a -> m) -> Node a -> 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 Seq | |
Defined in Data.Sequence.Internal Methods fold :: Monoid m => Seq m -> m # foldMap :: Monoid m => (a -> m) -> Seq a -> 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 ViewL | |
Defined in Data.Sequence.Internal Methods fold :: Monoid m => ViewL m -> m # foldMap :: Monoid m => (a -> m) -> ViewL a -> 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 # 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 | Folds in order of increasing key. |
Defined in Data.Set.Internal Methods fold :: Monoid m => Set m -> m # foldMap :: Monoid m => (a -> m) -> Set a -> 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 Tree | Folds in preorder |
Defined in Data.Tree Methods fold :: Monoid m => Tree m -> m # foldMap :: Monoid m => (a -> m) -> Tree a -> 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 Hashed | |
Defined in Data.Hashable.Class Methods fold :: Monoid m => Hashed m -> m # foldMap :: Monoid m => (a -> m) -> Hashed a -> 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 Activation | |
Defined in Language.Haskell.Exts.Syntax Methods fold :: Monoid m => Activation m -> m # foldMap :: Monoid m => (a -> m) -> Activation a -> 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 Alt | |
Defined in Language.Haskell.Exts.Syntax Methods fold :: Monoid m => Alt m -> m # foldMap :: Monoid m => (a -> m) -> Alt a -> 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 Annotation | |
Defined in Language.Haskell.Exts.Syntax Methods fold :: Monoid m => Annotation m -> m # foldMap :: Monoid m => (a -> m) -> Annotation a -> 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 Assoc | |
Defined in Language.Haskell.Exts.Syntax Methods fold :: Monoid m => Assoc m -> m # foldMap :: Monoid m => (a -> m) -> Assoc a -> 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 Asst | |
Defined in Language.Haskell.Exts.Syntax Methods fold :: Monoid m => Asst m -> m # foldMap :: Monoid m => (a -> m) -> Asst a -> 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 BangType | |
Defined in Language.Haskell.Exts.Syntax Methods fold :: Monoid m => BangType m -> m # foldMap :: Monoid m => (a -> m) -> BangType a -> 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 Binds | |
Defined in Language.Haskell.Exts.Syntax Methods fold :: Monoid m => Binds m -> m # foldMap :: Monoid m => (a -> m) -> Binds a -> 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 BooleanFormula | |
Defined in Language.Haskell.Exts.Syntax Methods fold :: Monoid m => BooleanFormula m -> m # foldMap :: Monoid m => (a -> m) -> BooleanFormula a -> 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 Bracket | |
Defined in Language.Haskell.Exts.Syntax Methods fold :: Monoid m => Bracket m -> m # foldMap :: Monoid m => (a -> m) -> Bracket a -> 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 CName | |
Defined in Language.Haskell.Exts.Syntax Methods fold :: Monoid m => CName m -> m # foldMap :: Monoid m => (a -> m) -> CName a -> 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 CallConv | |
Defined in Language.Haskell.Exts.Syntax Methods fold :: Monoid m => CallConv m -> m # foldMap :: Monoid m => (a -> m) -> CallConv a -> 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 ClassDecl | |
Defined in Language.Haskell.Exts.Syntax Methods fold :: Monoid m => ClassDecl m -> m # foldMap :: Monoid m => (a -> m) -> ClassDecl a -> 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 ConDecl | |
Defined in Language.Haskell.Exts.Syntax Methods fold :: Monoid m => ConDecl m -> m # foldMap :: Monoid m => (a -> m) -> ConDecl a -> 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 Context | |
Defined in Language.Haskell.Exts.Syntax Methods fold :: Monoid m => Context m -> m # foldMap :: Monoid m => (a -> m) -> Context a -> 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 DataOrNew | |
Defined in Language.Haskell.Exts.Syntax Methods fold :: Monoid m => DataOrNew m -> m # foldMap :: Monoid m => (a -> m) -> DataOrNew a -> 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 Decl | |
Defined in Language.Haskell.Exts.Syntax Methods fold :: Monoid m => Decl m -> m # foldMap :: Monoid m => (a -> m) -> Decl a -> 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 DeclHead | |
Defined in Language.Haskell.Exts.Syntax Methods fold :: Monoid m => DeclHead m -> m # foldMap :: Monoid m => (a -> m) -> DeclHead a -> 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 DerivStrategy | |
Defined in Language.Haskell.Exts.Syntax Methods fold :: Monoid m => DerivStrategy m -> m # foldMap :: Monoid m => (a -> m) -> DerivStrategy a -> 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 Deriving | |
Defined in Language.Haskell.Exts.Syntax Methods fold :: Monoid m => Deriving m -> m # foldMap :: Monoid m => (a -> m) -> Deriving a -> 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 EWildcard | |
Defined in Language.Haskell.Exts.Syntax Methods fold :: Monoid m => EWildcard m -> m # foldMap :: Monoid m => (a -> m) -> EWildcard a -> 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 Exp | |
Defined in Language.Haskell.Exts.Syntax Methods fold :: Monoid m => Exp m -> m # foldMap :: Monoid m => (a -> m) -> Exp a -> 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 ExportSpec | |
Defined in Language.Haskell.Exts.Syntax Methods fold :: Monoid m => ExportSpec m -> m # foldMap :: Monoid m => (a -> m) -> ExportSpec a -> 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 ExportSpecList | |
Defined in Language.Haskell.Exts.Syntax Methods fold :: Monoid m => ExportSpecList m -> m # foldMap :: Monoid m => (a -> m) -> ExportSpecList a -> 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 FieldDecl | |
Defined in Language.Haskell.Exts.Syntax Methods fold :: Monoid m => FieldDecl m -> m # foldMap :: Monoid m => (a -> m) -> FieldDecl a -> 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 FieldUpdate | |
Defined in Language.Haskell.Exts.Syntax Methods fold :: Monoid m => FieldUpdate m -> m # foldMap :: Monoid m => (a -> m) -> FieldUpdate a -> 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 FunDep | |
Defined in Language.Haskell.Exts.Syntax Methods fold :: Monoid m => FunDep m -> m # foldMap :: Monoid m => (a -> m) -> FunDep a -> 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 GadtDecl | |
Defined in Language.Haskell.Exts.Syntax Methods fold :: Monoid m => GadtDecl m -> m # foldMap :: Monoid m => (a -> m) -> GadtDecl a -> 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 GuardedRhs | |
Defined in Language.Haskell.Exts.Syntax Methods fold :: Monoid m => GuardedRhs m -> m # foldMap :: Monoid m => (a -> m) -> GuardedRhs a -> 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 IPBind | |
Defined in Language.Haskell.Exts.Syntax Methods fold :: Monoid m => IPBind m -> m # foldMap :: Monoid m => (a -> m) -> IPBind a -> 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 IPName | |
Defined in Language.Haskell.Exts.Syntax Methods fold :: Monoid m => IPName m -> m # foldMap :: Monoid m => (a -> m) -> IPName a -> 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 ImportDecl | |
Defined in Language.Haskell.Exts.Syntax Methods fold :: Monoid m => ImportDecl m -> m # foldMap :: Monoid m => (a -> m) -> ImportDecl a -> 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 ImportSpec | |
Defined in Language.Haskell.Exts.Syntax Methods fold :: Monoid m => ImportSpec m -> m # foldMap :: Monoid m => (a -> m) -> ImportSpec a -> 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 ImportSpecList | |
Defined in Language.Haskell.Exts.Syntax Methods fold :: Monoid m => ImportSpecList m -> m # foldMap :: Monoid m => (a -> m) -> ImportSpecList a -> 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 InjectivityInfo | |
Defined in Language.Haskell.Exts.Syntax Methods fold :: Monoid m => InjectivityInfo m -> m # foldMap :: Monoid m => (a -> m) -> InjectivityInfo a -> 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 InstDecl | |
Defined in Language.Haskell.Exts.Syntax Methods fold :: Monoid m => InstDecl m -> m # foldMap :: Monoid m => (a -> m) -> InstDecl a -> 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 InstHead | |
Defined in Language.Haskell.Exts.Syntax Methods fold :: Monoid m => InstHead m -> m # foldMap :: Monoid m => (a -> m) -> InstHead a -> 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 InstRule | |
Defined in Language.Haskell.Exts.Syntax Methods fold :: Monoid m => InstRule m -> m # foldMap :: Monoid m => (a -> m) -> InstRule a -> 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 Literal | |
Defined in Language.Haskell.Exts.Syntax Methods fold :: Monoid m => Literal m -> m # foldMap :: Monoid m => (a -> m) -> Literal a -> 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 Match | |
Defined in Language.Haskell.Exts.Syntax Methods fold :: Monoid m => Match m -> m # foldMap :: Monoid m => (a -> m) -> Match a -> 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 MaybePromotedName | |
Defined in Language.Haskell.Exts.Syntax Methods fold :: Monoid m => MaybePromotedName m -> m # foldMap :: Monoid m => (a -> m) -> MaybePromotedName a -> 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 Module | |
Defined in Language.Haskell.Exts.Syntax Methods fold :: Monoid m => Module m -> m # foldMap :: Monoid m => (a -> m) -> Module a -> 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 # 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 ModuleName | |
Defined in Language.Haskell.Exts.Syntax Methods fold :: Monoid m => ModuleName m -> m # foldMap :: Monoid m => (a -> m) -> ModuleName a -> 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 ModulePragma | |
Defined in Language.Haskell.Exts.Syntax Methods fold :: Monoid m => ModulePragma m -> m # foldMap :: Monoid m => (a -> m) -> ModulePragma a -> 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 Name | |
Defined in Language.Haskell.Exts.Syntax Methods fold :: Monoid m => Name m -> m # foldMap :: Monoid m => (a -> m) -> Name a -> 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 Namespace | |
Defined in Language.Haskell.Exts.Syntax Methods fold :: Monoid m => Namespace m -> m # foldMap :: Monoid m => (a -> m) -> Namespace a -> 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 Op | |
Defined in Language.Haskell.Exts.Syntax Methods fold :: Monoid m => Op m -> m # foldMap :: Monoid m => (a -> m) -> Op a -> 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 Overlap | |
Defined in Language.Haskell.Exts.Syntax Methods fold :: Monoid m => Overlap m -> m # foldMap :: Monoid m => (a -> m) -> Overlap a -> 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 PXAttr | |
Defined in Language.Haskell.Exts.Syntax Methods fold :: Monoid m => PXAttr m -> m # foldMap :: Monoid m => (a -> m) -> PXAttr a -> 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 Pat | |
Defined in Language.Haskell.Exts.Syntax Methods fold :: Monoid m => Pat m -> m # foldMap :: Monoid m => (a -> m) -> Pat a -> 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 PatField | |
Defined in Language.Haskell.Exts.Syntax Methods fold :: Monoid m => PatField m -> m # foldMap :: Monoid m => (a -> m) -> PatField a -> 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 PatternSynDirection | |
Defined in Language.Haskell.Exts.Syntax Methods fold :: Monoid m => PatternSynDirection m -> m # foldMap :: Monoid m => (a -> m) -> PatternSynDirection a -> 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 Promoted | |
Defined in Language.Haskell.Exts.Syntax Methods fold :: Monoid m => Promoted m -> m # foldMap :: Monoid m => (a -> m) -> Promoted a -> 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 QName | |
Defined in Language.Haskell.Exts.Syntax Methods fold :: Monoid m => QName m -> m # foldMap :: Monoid m => (a -> m) -> QName a -> 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 QOp | |
Defined in Language.Haskell.Exts.Syntax Methods fold :: Monoid m => QOp m -> m # foldMap :: Monoid m => (a -> m) -> QOp a -> 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 QualConDecl | |
Defined in Language.Haskell.Exts.Syntax Methods fold :: Monoid m => QualConDecl m -> m # foldMap :: Monoid m => (a -> m) -> QualConDecl a -> 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 QualStmt | |
Defined in Language.Haskell.Exts.Syntax Methods fold :: Monoid m => QualStmt m -> m # foldMap :: Monoid m => (a -> m) -> QualStmt a -> 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 RPat | |
Defined in Language.Haskell.Exts.Syntax Methods fold :: Monoid m => RPat m -> m # foldMap :: Monoid m => (a -> m) -> RPat a -> 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 RPatOp | |
Defined in Language.Haskell.Exts.Syntax Methods fold :: Monoid m => RPatOp m -> m # foldMap :: Monoid m => (a -> m) -> RPatOp a -> 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 ResultSig | |
Defined in Language.Haskell.Exts.Syntax Methods fold :: Monoid m => ResultSig m -> m # foldMap :: Monoid m => (a -> m) -> ResultSig a -> 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 Rhs | |
Defined in Language.Haskell.Exts.Syntax Methods fold :: Monoid m => Rhs m -> m # foldMap :: Monoid m => (a -> m) -> Rhs a -> 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 Role | |
Defined in Language.Haskell.Exts.Syntax Methods fold :: Monoid m => Role m -> m # foldMap :: Monoid m => (a -> m) -> Role a -> 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 Rule | |
Defined in Language.Haskell.Exts.Syntax Methods fold :: Monoid m => Rule m -> m # foldMap :: Monoid m => (a -> m) -> Rule a -> 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 # 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 Safety | |
Defined in Language.Haskell.Exts.Syntax Methods fold :: Monoid m => Safety m -> m # foldMap :: Monoid m => (a -> m) -> Safety a -> 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 Sign | |
Defined in Language.Haskell.Exts.Syntax Methods fold :: Monoid m => Sign m -> m # foldMap :: Monoid m => (a -> m) -> Sign a -> 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 SpecialCon | |
Defined in Language.Haskell.Exts.Syntax Methods fold :: Monoid m => SpecialCon m -> m # foldMap :: Monoid m => (a -> m) -> SpecialCon a -> 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 Splice | |
Defined in Language.Haskell.Exts.Syntax Methods fold :: Monoid m => Splice m -> m # foldMap :: Monoid m => (a -> m) -> Splice a -> 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 Stmt | |
Defined in Language.Haskell.Exts.Syntax Methods fold :: Monoid m => Stmt m -> m # foldMap :: Monoid m => (a -> m) -> Stmt a -> 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 TyVarBind | |
Defined in Language.Haskell.Exts.Syntax Methods fold :: Monoid m => TyVarBind m -> m # foldMap :: Monoid m => (a -> m) -> TyVarBind a -> 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 Type | |
Defined in Language.Haskell.Exts.Syntax Methods fold :: Monoid m => Type m -> m # foldMap :: Monoid m => (a -> m) -> Type a -> 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 TypeEqn | |
Defined in Language.Haskell.Exts.Syntax Methods fold :: Monoid m => TypeEqn m -> m # foldMap :: Monoid m => (a -> m) -> TypeEqn a -> 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 Unpackedness | |
Defined in Language.Haskell.Exts.Syntax Methods fold :: Monoid m => Unpackedness m -> m # foldMap :: Monoid m => (a -> m) -> Unpackedness a -> 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 WarningText | |
Defined in Language.Haskell.Exts.Syntax Methods fold :: Monoid m => WarningText m -> m # foldMap :: Monoid m => (a -> m) -> WarningText a -> 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 XAttr | |
Defined in Language.Haskell.Exts.Syntax Methods fold :: Monoid m => XAttr m -> m # foldMap :: Monoid m => (a -> m) -> XAttr a -> 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 XName | |
Defined in Language.Haskell.Exts.Syntax Methods fold :: Monoid m => XName m -> m # foldMap :: Monoid m => (a -> m) -> XName a -> 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 Array | |
Defined in Data.Primitive.Array Methods fold :: Monoid m => Array m -> m # foldMap :: Monoid m => (a -> m) -> Array a -> 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 SmallArray | |
Defined in Data.Primitive.SmallArray Methods fold :: Monoid m => SmallArray m -> m # foldMap :: Monoid m => (a -> m) -> SmallArray a -> 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 Maybe | |
Defined in Data.Strict.Maybe Methods fold :: Monoid m => Maybe m -> m # foldMap :: Monoid m => (a -> m) -> Maybe a -> 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 HashSet | |
Defined in Data.HashSet.Internal Methods fold :: Monoid m => HashSet m -> m # foldMap :: Monoid m => (a -> m) -> HashSet a -> 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 # 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 Vector | |
Defined in Data.Vector.Strict Methods fold :: Monoid m => Vector m -> m # foldMap :: Monoid m => (a -> m) -> Vector a -> 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 Maybe | Since: base-2.1 |
Defined in Data.Foldable Methods fold :: Monoid m => Maybe m -> m # foldMap :: Monoid m => (a -> m) -> Maybe a -> 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 Solo | Since: base-4.15 |
Defined in Data.Foldable Methods fold :: Monoid m => Solo m -> m # foldMap :: Monoid m => (a -> m) -> Solo a -> m # foldMap' :: Monoid m => (a -> m) -> Solo a -> m # foldr :: (a -> b -> b) -> b -> Solo a -> b # foldr' :: (a -> b -> b) -> b -> Solo a -> b # foldl :: (b -> a -> b) -> b -> Solo a -> b # foldl' :: (b -> a -> b) -> b -> Solo a -> b # foldr1 :: (a -> a -> a) -> Solo a -> a # foldl1 :: (a -> a -> a) -> Solo a -> a # elem :: Eq a => a -> Solo a -> Bool # maximum :: Ord a => Solo a -> a # | |
| Foldable List | Since: base-2.1 |
Defined in Data.Foldable Methods fold :: Monoid m => [m] -> m # foldMap :: Monoid m => (a -> m) -> [a] -> 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 (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 # 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 (Proxy :: Type -> Type) | 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 # 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 (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 # 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 (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 # 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 (U1 :: Type -> Type) | 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 # 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 (UAddr :: Type -> Type) | Since: base-4.9.0.0 |
Defined in Data.Foldable Methods fold :: Monoid m => UAddr m -> m # foldMap :: Monoid m => (a -> m) -> UAddr a -> m # foldMap' :: Monoid m => (a -> m) -> UAddr a -> m # foldr :: (a -> b -> b) -> b -> UAddr a -> b # foldr' :: (a -> b -> b) -> b -> UAddr a -> b # foldl :: (b -> a -> b) -> b -> UAddr a -> b # foldl' :: (b -> a -> b) -> b -> UAddr a -> b # foldr1 :: (a -> a -> a) -> UAddr a -> a # foldl1 :: (a -> a -> a) -> UAddr a -> a # elem :: Eq a => a -> UAddr a -> Bool # maximum :: Ord a => UAddr a -> a # minimum :: Ord a => UAddr a -> a # | |
| Foldable (UChar :: Type -> Type) | Since: base-4.9.0.0 |
Defined in Data.Foldable Methods fold :: Monoid m => UChar m -> m # foldMap :: Monoid m => (a -> m) -> UChar a -> m # foldMap' :: Monoid m => (a -> m) -> UChar a -> m # foldr :: (a -> b -> b) -> b -> UChar a -> b # foldr' :: (a -> b -> b) -> b -> UChar a -> b # foldl :: (b -> a -> b) -> b -> UChar a -> b # foldl' :: (b -> a -> b) -> b -> UChar a -> b # foldr1 :: (a -> a -> a) -> UChar a -> a # foldl1 :: (a -> a -> a) -> UChar a -> a # elem :: Eq a => a -> UChar a -> Bool # maximum :: Ord a => UChar a -> a # minimum :: Ord a => UChar a -> a # | |
| Foldable (UDouble :: Type -> Type) | Since: base-4.9.0.0 |
Defined in Data.Foldable Methods fold :: Monoid m => UDouble m -> m # foldMap :: Monoid m => (a -> m) -> UDouble a -> m # foldMap' :: Monoid m => (a -> m) -> UDouble a -> m # foldr :: (a -> b -> b) -> b -> UDouble a -> b # foldr' :: (a -> b -> b) -> b -> UDouble a -> b # foldl :: (b -> a -> b) -> b -> UDouble a -> b # foldl' :: (b -> a -> b) -> b -> UDouble a -> b # foldr1 :: (a -> a -> a) -> UDouble a -> a # foldl1 :: (a -> a -> a) -> UDouble a -> a # elem :: Eq a => a -> UDouble a -> Bool # maximum :: Ord a => UDouble a -> a # minimum :: Ord a => UDouble a -> a # | |
| Foldable (UFloat :: Type -> Type) | Since: base-4.9.0.0 |
Defined in Data.Foldable Methods fold :: Monoid m => UFloat m -> m # foldMap :: Monoid m => (a -> m) -> UFloat a -> m # foldMap' :: Monoid m => (a -> m) -> UFloat a -> m # foldr :: (a -> b -> b) -> b -> UFloat a -> b # foldr' :: (a -> b -> b) -> b -> UFloat a -> b # foldl :: (b -> a -> b) -> b -> UFloat a -> b # foldl' :: (b -> a -> b) -> b -> UFloat a -> b # foldr1 :: (a -> a -> a) -> UFloat a -> a # foldl1 :: (a -> a -> a) -> UFloat a -> a # elem :: Eq a => a -> UFloat a -> Bool # maximum :: Ord a => UFloat a -> a # minimum :: Ord a => UFloat a -> a # | |
| Foldable (UInt :: Type -> Type) | Since: base-4.9.0.0 |
Defined in Data.Foldable Methods fold :: Monoid m => UInt m -> m # foldMap :: Monoid m => (a -> m) -> UInt a -> m # foldMap' :: Monoid m => (a -> m) -> UInt a -> m # foldr :: (a -> b -> b) -> b -> UInt a -> b # foldr' :: (a -> b -> b) -> b -> UInt a -> b # foldl :: (b -> a -> b) -> b -> UInt a -> b # foldl' :: (b -> a -> b) -> b -> UInt a -> b # foldr1 :: (a -> a -> a) -> UInt a -> a # foldl1 :: (a -> a -> a) -> UInt a -> a # elem :: Eq a => a -> UInt a -> Bool # maximum :: Ord a => UInt a -> a # | |
| Foldable (UWord :: Type -> Type) | Since: base-4.9.0.0 |
Defined in Data.Foldable Methods fold :: Monoid m => UWord m -> m # foldMap :: Monoid m => (a -> m) -> UWord a -> m # foldMap' :: Monoid m => (a -> m) -> UWord a -> m # foldr :: (a -> b -> b) -> b -> UWord a -> b # foldr' :: (a -> b -> b) -> b -> UWord a -> b # foldl :: (b -> a -> b) -> b -> UWord a -> b # foldl' :: (b -> a -> b) -> b -> UWord a -> b # foldr1 :: (a -> a -> a) -> UWord a -> a # foldl1 :: (a -> a -> a) -> UWord a -> a # elem :: Eq a => a -> UWord a -> Bool # maximum :: Ord a => UWord a -> a # minimum :: Ord a => UWord a -> a # | |
| Foldable (V1 :: Type -> Type) | Since: base-4.9.0.0 |
Defined in Data.Foldable Methods fold :: Monoid m => V1 m -> m # foldMap :: Monoid m => (a -> m) -> V1 a -> 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 (Signal dom) Source # | NB: Not synthesizable NB: In "
|
Defined in Clash.Signal.Internal Methods fold :: Monoid m => Signal dom m -> m # foldMap :: Monoid m => (a -> m) -> Signal dom a -> m # foldMap' :: Monoid m => (a -> m) -> Signal dom a -> m # foldr :: (a -> b -> b) -> b -> Signal dom a -> b # foldr' :: (a -> b -> b) -> b -> Signal dom a -> b # foldl :: (b -> a -> b) -> b -> Signal dom a -> b # foldl' :: (b -> a -> b) -> b -> Signal dom a -> b # foldr1 :: (a -> a -> a) -> Signal dom a -> a # foldl1 :: (a -> a -> a) -> Signal dom a -> a # toList :: Signal dom a -> [a] # null :: Signal dom a -> Bool # length :: Signal dom a -> Int # elem :: Eq a => a -> Signal dom a -> Bool # maximum :: Ord a => Signal dom a -> a # minimum :: Ord a => Signal dom a -> a # | |
| KnownNat d => Foldable (RTree d) Source # | |
Defined in Clash.Sized.RTree Methods fold :: Monoid m => RTree d m -> m # foldMap :: Monoid m => (a -> m) -> RTree d a -> m # foldMap' :: Monoid m => (a -> m) -> RTree d a -> m # foldr :: (a -> b -> b) -> b -> RTree d a -> b # foldr' :: (a -> b -> b) -> b -> RTree d a -> b # foldl :: (b -> a -> b) -> b -> RTree d a -> b # foldl' :: (b -> a -> b) -> b -> RTree d a -> b # foldr1 :: (a -> a -> a) -> RTree d a -> a # foldl1 :: (a -> a -> a) -> RTree d a -> a # elem :: Eq a => a -> RTree d a -> Bool # maximum :: Ord a => RTree d a -> a # minimum :: Ord a => RTree d a -> a # | |
| KnownNat n => Foldable (Vec n) Source # | |
Defined in Clash.Sized.Vector Methods fold :: Monoid m => Vec n m -> m # foldMap :: Monoid m => (a -> m) -> Vec n a -> m # foldMap' :: Monoid m => (a -> m) -> Vec n a -> m # foldr :: (a -> b -> b) -> b -> Vec n a -> b # foldr' :: (a -> b -> b) -> b -> Vec n a -> b # foldl :: (b -> a -> b) -> b -> Vec n a -> b # foldl' :: (b -> a -> b) -> b -> Vec n a -> b # foldr1 :: (a -> a -> a) -> Vec n a -> a # foldl1 :: (a -> a -> a) -> Vec n a -> a # elem :: Eq a => a -> Vec n a -> Bool # maximum :: Ord a => Vec n a -> a # minimum :: Ord a => Vec n a -> a # | |
| Foldable (Map k) | Folds in order of increasing key. |
Defined in Data.Map.Internal Methods fold :: Monoid m => Map k m -> m # foldMap :: Monoid m => (a -> m) -> Map k a -> 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 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 # 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 # 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 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 # 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 (Level i) | |
Defined in Control.Lens.Internal.Level Methods fold :: Monoid m => Level i m -> m # foldMap :: Monoid m => (a -> m) -> Level i a -> m # foldMap' :: Monoid m => (a -> m) -> Level i a -> m # foldr :: (a -> b -> b) -> b -> Level i a -> b # foldr' :: (a -> b -> b) -> b -> Level i a -> b # foldl :: (b -> a -> b) -> b -> Level i a -> b # foldl' :: (b -> a -> b) -> b -> Level i a -> b # foldr1 :: (a -> a -> a) -> Level i a -> a # foldl1 :: (a -> a -> a) -> Level i a -> a # elem :: Eq a => a -> Level i a -> Bool # maximum :: Ord a => Level i a -> a # minimum :: Ord a => Level i a -> a # | |
| Foldable (ListF a) | |
Defined in Data.Functor.Base Methods fold :: Monoid m => ListF a m -> m # foldMap :: Monoid m => (a0 -> m) -> ListF a a0 -> m # foldMap' :: Monoid m => (a0 -> m) -> ListF a a0 -> m # foldr :: (a0 -> b -> b) -> b -> ListF a a0 -> b # foldr' :: (a0 -> b -> b) -> b -> ListF a a0 -> b # foldl :: (b -> a0 -> b) -> b -> ListF a a0 -> b # foldl' :: (b -> a0 -> b) -> b -> ListF a a0 -> b # foldr1 :: (a0 -> a0 -> a0) -> ListF a a0 -> a0 # foldl1 :: (a0 -> a0 -> a0) -> ListF a a0 -> a0 # toList :: ListF a a0 -> [a0] # elem :: Eq a0 => a0 -> ListF a a0 -> Bool # maximum :: Ord a0 => ListF a a0 -> a0 # minimum :: Ord a0 => ListF a a0 -> a0 # | |
| Foldable (NonEmptyF a) | |
Defined in Data.Functor.Base Methods fold :: Monoid m => NonEmptyF a m -> m # foldMap :: Monoid m => (a0 -> m) -> NonEmptyF a a0 -> m # foldMap' :: Monoid m => (a0 -> m) -> NonEmptyF a a0 -> m # foldr :: (a0 -> b -> b) -> b -> NonEmptyF a a0 -> b # foldr' :: (a0 -> b -> b) -> b -> NonEmptyF a a0 -> b # foldl :: (b -> a0 -> b) -> b -> NonEmptyF a a0 -> b # foldl' :: (b -> a0 -> b) -> b -> NonEmptyF a a0 -> b # foldr1 :: (a0 -> a0 -> a0) -> NonEmptyF a a0 -> a0 # foldl1 :: (a0 -> a0 -> a0) -> NonEmptyF a a0 -> a0 # toList :: NonEmptyF a a0 -> [a0] # null :: NonEmptyF a a0 -> Bool # length :: NonEmptyF a a0 -> Int # elem :: Eq a0 => a0 -> NonEmptyF a a0 -> Bool # maximum :: Ord a0 => NonEmptyF a a0 -> a0 # minimum :: Ord a0 => NonEmptyF a a0 -> a0 # | |
| Foldable (TreeF a) | |
Defined in Data.Functor.Base Methods fold :: Monoid m => TreeF a m -> m # foldMap :: Monoid m => (a0 -> m) -> TreeF a a0 -> m # foldMap' :: Monoid m => (a0 -> m) -> TreeF a a0 -> m # foldr :: (a0 -> b -> b) -> b -> TreeF a a0 -> b # foldr' :: (a0 -> b -> b) -> b -> TreeF a a0 -> b # foldl :: (b -> a0 -> b) -> b -> TreeF a a0 -> b # foldl' :: (b -> a0 -> b) -> b -> TreeF a a0 -> b # foldr1 :: (a0 -> a0 -> a0) -> TreeF a a0 -> a0 # foldl1 :: (a0 -> a0 -> a0) -> TreeF a a0 -> a0 # toList :: TreeF a a0 -> [a0] # elem :: Eq a0 => a0 -> TreeF a a0 -> Bool # maximum :: Ord a0 => TreeF a a0 -> a0 # minimum :: Ord a0 => TreeF a a0 -> a0 # | |
| Foldable (Either e) | |
Defined in Data.Strict.Either Methods fold :: Monoid m => Either e m -> m # foldMap :: Monoid m => (a -> m) -> Either e a -> m # foldMap' :: Monoid m => (a -> m) -> Either e a -> m # foldr :: (a -> b -> b) -> b -> Either e a -> b # foldr' :: (a -> b -> b) -> b -> Either e a -> b # foldl :: (b -> a -> b) -> b -> Either e a -> b # foldl' :: (b -> a -> b) -> b -> Either e a -> b # foldr1 :: (a -> a -> a) -> Either e a -> a # foldl1 :: (a -> a -> a) -> Either e a -> a # elem :: Eq a => a -> Either e a -> Bool # maximum :: Ord a => Either e a -> a # minimum :: Ord a => Either e a -> a # | |
| Foldable (These a) | |
Defined in Data.Strict.These Methods fold :: Monoid m => These a m -> m # foldMap :: Monoid m => (a0 -> m) -> These a a0 -> m # foldMap' :: Monoid m => (a0 -> m) -> These a a0 -> m # foldr :: (a0 -> b -> b) -> b -> These a a0 -> b # foldr' :: (a0 -> b -> b) -> b -> These a a0 -> b # foldl :: (b -> a0 -> b) -> b -> These a a0 -> b # foldl' :: (b -> a0 -> b) -> b -> These a a0 -> b # foldr1 :: (a0 -> a0 -> a0) -> These a a0 -> a0 # foldl1 :: (a0 -> a0 -> a0) -> These a a0 -> a0 # toList :: These a a0 -> [a0] # elem :: Eq a0 => a0 -> These a a0 -> Bool # maximum :: Ord a0 => These a a0 -> a0 # minimum :: Ord a0 => These a a0 -> a0 # | |
| Foldable (Pair e) | |
Defined in Data.Strict.Tuple Methods fold :: Monoid m => Pair e m -> m # foldMap :: Monoid m => (a -> m) -> Pair e a -> m # foldMap' :: Monoid m => (a -> m) -> Pair e a -> m # foldr :: (a -> b -> b) -> b -> Pair e a -> b # foldr' :: (a -> b -> b) -> b -> Pair e a -> b # foldl :: (b -> a -> b) -> b -> Pair e a -> b # foldl' :: (b -> a -> b) -> b -> Pair e a -> b # foldr1 :: (a -> a -> a) -> Pair e a -> a # foldl1 :: (a -> a -> a) -> Pair e a -> a # elem :: Eq a => a -> Pair e a -> Bool # maximum :: Ord a => Pair e a -> a # minimum :: Ord a => Pair e a -> a # | |
| Foldable (These a) | |
Defined in Data.These Methods fold :: Monoid m => These a m -> m # foldMap :: Monoid m => (a0 -> m) -> These a a0 -> m # foldMap' :: Monoid m => (a0 -> m) -> These a a0 -> m # foldr :: (a0 -> b -> b) -> b -> These a a0 -> b # foldr' :: (a0 -> b -> b) -> b -> These a a0 -> b # foldl :: (b -> a0 -> b) -> b -> These a a0 -> b # foldl' :: (b -> a0 -> b) -> b -> These a a0 -> b # foldr1 :: (a0 -> a0 -> a0) -> These a a0 -> a0 # foldl1 :: (a0 -> a0 -> a0) -> These a a0 -> a0 # toList :: These a a0 -> [a0] # elem :: Eq a0 => a0 -> These a a0 -> Bool # maximum :: Ord a0 => These a a0 -> a0 # minimum :: Ord a0 => These a a0 -> a0 # | |
| Foldable f => Foldable (Lift f) | |
Defined in Control.Applicative.Lift Methods fold :: Monoid m => Lift f m -> m # foldMap :: Monoid m => (a -> m) -> Lift f a -> m # foldMap' :: Monoid m => (a -> m) -> Lift f a -> m # foldr :: (a -> b -> b) -> b -> Lift f a -> b # foldr' :: (a -> b -> b) -> b -> Lift f a -> b # foldl :: (b -> a -> b) -> b -> Lift f a -> b # foldl' :: (b -> a -> b) -> b -> Lift f a -> b # foldr1 :: (a -> a -> a) -> Lift f a -> a # foldl1 :: (a -> a -> a) -> Lift f a -> a # elem :: Eq a => a -> Lift f a -> Bool # maximum :: Ord a => Lift f a -> a # minimum :: Ord a => Lift f 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 # 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 (HashMap k) | |
Defined in Data.HashMap.Internal Methods fold :: Monoid m => HashMap k m -> m # foldMap :: Monoid m => (a -> m) -> HashMap k a -> 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 ((,) 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 # 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 (Const m :: Type -> Type) | 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 # 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 # | |
| Foldable f => Foldable (Ap f) | Since: base-4.12.0.0 |
Defined in Data.Foldable Methods fold :: Monoid m => Ap f m -> m # foldMap :: Monoid m => (a -> m) -> Ap f a -> m # foldMap' :: Monoid m => (a -> m) -> Ap f a -> m # foldr :: (a -> b -> b) -> b -> Ap f a -> b # foldr' :: (a -> b -> b) -> b -> Ap f a -> b # foldl :: (b -> a -> b) -> b -> Ap f a -> b # foldl' :: (b -> a -> b) -> b -> Ap f a -> b # foldr1 :: (a -> a -> a) -> Ap f a -> a # foldl1 :: (a -> a -> a) -> Ap f a -> a # elem :: Eq a => a -> Ap f a -> Bool # maximum :: Ord a => Ap f a -> a # | |
| Foldable f => Foldable (Alt f) | Since: base-4.12.0.0 |
Defined in Data.Foldable Methods fold :: Monoid m => Alt f m -> m # foldMap :: Monoid m => (a -> m) -> Alt f a -> m # foldMap' :: Monoid m => (a -> m) -> Alt f a -> m # foldr :: (a -> b -> b) -> b -> Alt f a -> b # foldr' :: (a -> b -> b) -> b -> Alt f a -> b # foldl :: (b -> a -> b) -> b -> Alt f a -> b # foldl' :: (b -> a -> b) -> b -> Alt f a -> b # foldr1 :: (a -> a -> a) -> Alt f a -> a # foldl1 :: (a -> a -> a) -> Alt f a -> a # elem :: Eq a => a -> Alt f a -> Bool # maximum :: Ord a => Alt f a -> a # minimum :: Ord a => Alt f a -> a # | |
| Foldable f => Foldable (Rec1 f) | Since: base-4.9.0.0 |
Defined in Data.Foldable Methods fold :: Monoid m => Rec1 f m -> m # foldMap :: Monoid m => (a -> m) -> Rec1 f a -> 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 # | |
| 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 # 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 # | |
| 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 # 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 # | |
| Foldable (DSignal dom delay) Source # | |
Defined in Clash.Signal.Delayed.Internal Methods fold :: Monoid m => DSignal dom delay m -> m # foldMap :: Monoid m => (a -> m) -> DSignal dom delay a -> m # foldMap' :: Monoid m => (a -> m) -> DSignal dom delay a -> m # foldr :: (a -> b -> b) -> b -> DSignal dom delay a -> b # foldr' :: (a -> b -> b) -> b -> DSignal dom delay a -> b # foldl :: (b -> a -> b) -> b -> DSignal dom delay a -> b # foldl' :: (b -> a -> b) -> b -> DSignal dom delay a -> b # foldr1 :: (a -> a -> a) -> DSignal dom delay a -> a # foldl1 :: (a -> a -> a) -> DSignal dom delay a -> a # toList :: DSignal dom delay a -> [a] # null :: DSignal dom delay a -> Bool # length :: DSignal dom delay a -> Int # elem :: Eq a => a -> DSignal dom delay a -> Bool # maximum :: Ord a => DSignal dom delay a -> a # minimum :: Ord a => DSignal dom delay a -> a # | |
| Foldable w => Foldable (EnvT e w) | |
Defined in Control.Comonad.Trans.Env Methods fold :: Monoid m => EnvT e w m -> m # foldMap :: Monoid m => (a -> m) -> EnvT e w a -> m # foldMap' :: Monoid m => (a -> m) -> EnvT e w a -> m # foldr :: (a -> b -> b) -> b -> EnvT e w a -> b # foldr' :: (a -> b -> b) -> b -> EnvT e w a -> b # foldl :: (b -> a -> b) -> b -> EnvT e w a -> b # foldl' :: (b -> a -> b) -> b -> EnvT e w a -> b # foldr1 :: (a -> a -> a) -> EnvT e w a -> a # foldl1 :: (a -> a -> a) -> EnvT e w a -> a # elem :: Eq a => a -> EnvT e w a -> Bool # maximum :: Ord a => EnvT e w a -> a # minimum :: Ord a => EnvT e w 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 # 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 # 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 (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 # 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 # 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 (Tagged s) | |
Defined in Data.Tagged Methods fold :: Monoid m => Tagged s m -> m # foldMap :: Monoid m => (a -> m) -> Tagged s a -> 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 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 # 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 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 # 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 (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 # 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 (WriterT w f) | |
Defined in Control.Monad.Trans.Writer.Lazy Methods fold :: Monoid m => WriterT w f m -> m # foldMap :: Monoid m => (a -> m) -> WriterT w f a -> m # foldMap' :: Monoid m => (a -> m) -> WriterT w f a -> m # foldr :: (a -> b -> b) -> b -> WriterT w f a -> b # foldr' :: (a -> b -> b) -> b -> WriterT w f a -> b # foldl :: (b -> a -> b) -> b -> WriterT w f a -> b # foldl' :: (b -> a -> b) -> b -> WriterT w f a -> b # foldr1 :: (a -> a -> a) -> WriterT w f a -> a # foldl1 :: (a -> a -> a) -> WriterT w f a -> a # toList :: WriterT w f a -> [a] # null :: WriterT w f a -> Bool # length :: WriterT w f a -> Int # elem :: Eq a => a -> WriterT w f a -> Bool # maximum :: Ord a => WriterT w f a -> a # minimum :: Ord a => WriterT w f a -> a # | |
| Foldable f => Foldable (WriterT w f) | |
Defined in Control.Monad.Trans.Writer.Strict Methods fold :: Monoid m => WriterT w f m -> m # foldMap :: Monoid m => (a -> m) -> WriterT w f a -> m # foldMap' :: Monoid m => (a -> m) -> WriterT w f a -> m # foldr :: (a -> b -> b) -> b -> WriterT w f a -> b # foldr' :: (a -> b -> b) -> b -> WriterT w f a -> b # foldl :: (b -> a -> b) -> b -> WriterT w f a -> b # foldl' :: (b -> a -> b) -> b -> WriterT w f a -> b # foldr1 :: (a -> a -> a) -> WriterT w f a -> a # foldl1 :: (a -> a -> a) -> WriterT w f a -> a # toList :: WriterT w f a -> [a] # null :: WriterT w f a -> Bool # length :: WriterT w f a -> Int # elem :: Eq a => a -> WriterT w f a -> Bool # maximum :: Ord a => WriterT w f a -> a # minimum :: Ord a => WriterT w f a -> a # | |
| Foldable (Constant a :: Type -> Type) | |
Defined in Data.Functor.Constant Methods fold :: Monoid m => Constant a m -> m # foldMap :: Monoid m => (a0 -> m) -> Constant a a0 -> m # foldMap' :: Monoid m => (a0 -> m) -> Constant a a0 -> m # foldr :: (a0 -> b -> b) -> b -> Constant a a0 -> b # foldr' :: (a0 -> b -> b) -> b -> Constant a a0 -> b # foldl :: (b -> a0 -> b) -> b -> Constant a a0 -> b # foldl' :: (b -> a0 -> b) -> b -> Constant a a0 -> b # foldr1 :: (a0 -> a0 -> a0) -> Constant a a0 -> a0 # foldl1 :: (a0 -> a0 -> a0) -> Constant a a0 -> a0 # toList :: Constant a a0 -> [a0] # null :: Constant a a0 -> Bool # length :: Constant a a0 -> Int # elem :: Eq a0 => a0 -> Constant a a0 -> Bool # maximum :: Ord a0 => Constant a a0 -> a0 # minimum :: Ord a0 => Constant a a0 -> a0 # | |
| Foldable f => Foldable (Reverse f) | Fold from right to left. |
Defined in Data.Functor.Reverse Methods fold :: Monoid m => Reverse f m -> m # foldMap :: Monoid m => (a -> m) -> Reverse f a -> m # foldMap' :: Monoid m => (a -> m) -> Reverse f a -> m # foldr :: (a -> b -> b) -> b -> Reverse f a -> b # foldr' :: (a -> b -> b) -> b -> Reverse f a -> b # foldl :: (b -> a -> b) -> b -> Reverse f a -> b # foldl' :: (b -> a -> b) -> b -> Reverse f a -> b # foldr1 :: (a -> a -> a) -> Reverse f a -> a # foldl1 :: (a -> a -> a) -> Reverse f a -> a # toList :: Reverse f a -> [a] # length :: Reverse f a -> Int # elem :: Eq a => a -> Reverse f a -> Bool # maximum :: Ord a => Reverse f a -> a # minimum :: Ord a => Reverse f 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 # 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 # 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 f, Foldable g) => Foldable (f :*: g) | Since: base-4.9.0.0 |
Defined in Data.Foldable Methods fold :: Monoid m => (f :*: g) m -> m # foldMap :: Monoid m => (a -> m) -> (f :*: g) a -> 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) | Since: base-4.9.0.0 |
Defined in Data.Foldable Methods fold :: Monoid m => (f :+: g) m -> m # foldMap :: Monoid m => (a -> m) -> (f :+: g) a -> 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 (K1 i c :: Type -> Type) | Since: base-4.9.0.0 |
Defined in Data.Foldable Methods fold :: Monoid m => K1 i c m -> m # foldMap :: Monoid m => (a -> m) -> K1 i c a -> 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 (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 # 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 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 # 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 # | |
| (Foldable f, Foldable g) => Foldable (f :.: g) | Since: base-4.9.0.0 |
Defined in Data.Foldable Methods fold :: Monoid m => (f :.: g) m -> m # foldMap :: Monoid m => (a -> m) -> (f :.: g) a -> 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 (M1 i c f) | Since: base-4.9.0.0 |
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 # 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 (Clown f a :: Type -> Type) | |
Defined in Data.Bifunctor.Clown Methods fold :: Monoid m => Clown f a m -> m # foldMap :: Monoid m => (a0 -> m) -> Clown f a a0 -> 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 # | |
| 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 # 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 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 # 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 (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 # 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 (f a), Foldable (g a)) => Foldable (Product f g a) | |
Defined in Data.Bifunctor.Product Methods fold :: Monoid m => Product f g a m -> m # foldMap :: Monoid m => (a0 -> m) -> Product f g a a0 -> m # foldMap' :: Monoid m => (a0 -> m) -> Product f g a a0 -> m # foldr :: (a0 -> b -> b) -> b -> Product f g a a0 -> b # foldr' :: (a0 -> b -> b) -> b -> Product f g a a0 -> b # foldl :: (b -> a0 -> b) -> b -> Product f g a a0 -> b # foldl' :: (b -> a0 -> b) -> b -> Product f g a a0 -> b # foldr1 :: (a0 -> a0 -> a0) -> Product f g a a0 -> a0 # foldl1 :: (a0 -> a0 -> a0) -> Product f g a a0 -> a0 # toList :: Product f g a a0 -> [a0] # null :: Product f g a a0 -> Bool # length :: Product f g a a0 -> Int # elem :: Eq a0 => a0 -> Product f g a a0 -> Bool # maximum :: Ord a0 => Product f g a a0 -> a0 # minimum :: Ord a0 => Product f g a a0 -> a0 # | |
| (Foldable (f a), Foldable (g a)) => Foldable (Sum f g a) | |
Defined in Data.Bifunctor.Sum Methods fold :: Monoid m => Sum f g a m -> m # foldMap :: Monoid m => (a0 -> m) -> Sum f g a a0 -> m # foldMap' :: Monoid m => (a0 -> m) -> Sum f g a a0 -> m # foldr :: (a0 -> b -> b) -> b -> Sum f g a a0 -> b # foldr' :: (a0 -> b -> b) -> b -> Sum f g a a0 -> b # foldl :: (b -> a0 -> b) -> b -> Sum f g a a0 -> b # foldl' :: (b -> a0 -> b) -> b -> Sum f g a a0 -> b # foldr1 :: (a0 -> a0 -> a0) -> Sum f g a a0 -> a0 # foldl1 :: (a0 -> a0 -> a0) -> Sum f g a a0 -> a0 # toList :: Sum f g a a0 -> [a0] # null :: Sum f g a a0 -> Bool # length :: Sum f g a a0 -> Int # elem :: Eq a0 => a0 -> Sum f g a a0 -> Bool # maximum :: Ord a0 => Sum f g a a0 -> a0 # minimum :: Ord a0 => Sum f g 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 # 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 # 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 # | |
class (Functor t, Foldable t) => Traversable (t :: Type -> Type) where #
Functors representing data structures that can be transformed to
structures of the same shape by performing an Applicative (or,
therefore, Monad) action on each element from left to right.
A more detailed description of what same shape means, the various methods, how traversals are constructed, and example advanced use-cases can be found in the Overview section of Data.Traversable.
For the class laws see the Laws section of Data.Traversable.
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_.
Examples
Basic usage:
In the first two examples we show each evaluated action mapping to the output structure.
>>>traverse Just [1,2,3,4]Just [1,2,3,4]
>>>traverse id [Right 1, Right 2, Right 3, Right 4]Right [1,2,3,4]
In the next examples, we show that Nothing and Left values short
circuit the created structure.
>>>traverse (const Nothing) [1,2,3,4]Nothing
>>>traverse (\x -> if odd x then Just x else Nothing) [1,2,3,4]Nothing
>>>traverse id [Right 1, Right 2, Right 3, Right 4, Left 0]Left 0
sequenceA :: Applicative f => t (f a) -> f (t a) #
Evaluate each action in the structure from left to right, and
collect the results. For a version that ignores the results
see sequenceA_.
Examples
Basic usage:
For the first two examples we show sequenceA fully evaluating a a structure and collecting the results.
>>>sequenceA [Just 1, Just 2, Just 3]Just [1,2,3]
>>>sequenceA [Right 1, Right 2, Right 3]Right [1,2,3]
The next two example show Nothing and Just will short circuit
the resulting structure if present in the input. For more context,
check the Traversable instances for Either and Maybe.
>>>sequenceA [Just 1, Just 2, Just 3, Nothing]Nothing
>>>sequenceA [Right 1, Right 2, Right 3, Left 4]Left 4
mapM :: Monad m => (a -> m b) -> t a -> m (t b) #
Map each element of a structure to a monadic action, evaluate
these actions from left to right, and collect the results. For
a version that ignores the results see mapM_.
Examples
sequence :: Monad m => t (m a) -> m (t a) #
Evaluate each monadic action in the structure from left to
right, and collect the results. For a version that ignores the
results see sequence_.
Examples
Basic usage:
The first two examples are instances where the input and
and output of sequence are isomorphic.
>>>sequence $ Right [1,2,3,4][Right 1,Right 2,Right 3,Right 4]
>>>sequence $ [Right 1,Right 2,Right 3,Right 4]Right [1,2,3,4]
The following examples demonstrate short circuit behavior
for sequence.
>>>sequence $ Left [1,2,3,4]Left [1,2,3,4]
>>>sequence $ [Left 0, Right 1,Right 2,Right 3,Right 4]Left 0
Instances
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
| Arbitrary2 Either | |
Defined in Test.QuickCheck.Arbitrary Methods liftArbitrary2 :: Gen a -> Gen b -> Gen (Either a b) # liftShrink2 :: (a -> [a]) -> (b -> [b]) -> Either a b -> [Either a b] # | |
| Bifunctor Either | Since: base-4.8.0.0 |
| 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) # | |
| Generic1 (Either a :: Type -> Type) | |
| () :=> (Applicative (Either a)) | |
Defined in Data.Constraint Methods ins :: () :- Applicative (Either a) # | |
| () :=> (Functor (Either a)) | |
| () :=> (Monad (Either a)) | |
| (Lift a, Lift b) => Lift (Either a b :: Type) | |
| Arbitrary a => Arbitrary1 (Either a) | |
Defined in Test.QuickCheck.Arbitrary Methods liftArbitrary :: Gen a0 -> Gen (Either a a0) # liftShrink :: (a0 -> [a0]) -> Either a a0 -> [Either a a0] # | |
| 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 # 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 | |
| Applicative (Either e) | Since: base-3.0 |
| Functor (Either a) | Since: base-3.0 |
| Monad (Either e) | Since: base-4.4.0.0 |
| NFData a => NFData1 (Either a) | Since: deepseq-1.4.3.0 |
Defined in Control.DeepSeq | |
| Hashable a => Hashable1 (Either a) | |
Defined in Data.Hashable.Class | |
| (Arbitrary a, Arbitrary b) => Arbitrary (Either a b) | |
| (CoArbitrary a, CoArbitrary b) => CoArbitrary (Either a b) | |
Defined in Test.QuickCheck.Arbitrary Methods coarbitrary :: Either a b -> Gen b0 -> Gen b0 # | |
| (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 :: forall r r'. (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) # | |
| Semigroup (Either a b) | Since: base-4.9.0.0 |
| Generic (Either a b) | |
| (Read a, Read b) => Read (Either a b) | Since: base-3.0 |
| (Show a, Show b) => Show (Either a b) | Since: base-3.0 |
| (Binary a, Binary b) => Binary (Either a b) | |
| (BitPack a, BitPack b) => BitPack (Either a b) Source # | |
| (Counter a, Counter b) => Counter (Either a b) Source # | Counter instance that flip-flops between
|
| Bundle (Either a b) Source # | |
Defined in Clash.Signal.Bundle | |
| Bundle (Either a b) Source # | |
Defined in Clash.Signal.Delayed.Bundle | |
| (NFDataX a, NFDataX b) => NFDataX (Either a b) Source # | |
Defined in Clash.XException | |
| (ShowX a, ShowX b) => ShowX (Either a b) Source # | |
| (NFData a, NFData b) => NFData (Either a b) | |
Defined in Control.DeepSeq | |
| (Eq a, Eq b) => Eq (Either a b) | Since: base-2.1 |
| (Ord a, Ord b) => Ord (Either a b) | Since: base-2.1 |
| (Hashable a, Hashable b) => Hashable (Either a b) | |
Defined in Data.Hashable.Class | |
| (Finite a, Uniform a, Finite b, Uniform b) => Uniform (Either a b) | |
Defined in System.Random.Internal Methods uniformM :: StatefulGen g m => g -> m (Either a b) # | |
| Corecursive (Either a b) | |
Defined in Data.Functor.Foldable Methods embed :: Base (Either a b) (Either a b) -> Either a b # ana :: (a0 -> Base (Either a b) a0) -> a0 -> Either a b # apo :: (a0 -> Base (Either a b) (Either (Either a b) a0)) -> a0 -> Either a b # postpro :: Recursive (Either a b) => (forall b0. Base (Either a b) b0 -> Base (Either a b) b0) -> (a0 -> Base (Either a b) a0) -> a0 -> Either a b # gpostpro :: (Recursive (Either a b), Monad m) => (forall b0. m (Base (Either a b) b0) -> Base (Either a b) (m b0)) -> (forall c. Base (Either a b) c -> Base (Either a b) c) -> (a0 -> Base (Either a b) (m a0)) -> a0 -> Either a b # | |
| Recursive (Either a b) | |
Defined in Data.Functor.Foldable Methods project :: Either a b -> Base (Either a b) (Either a b) # cata :: (Base (Either a b) a0 -> a0) -> Either a b -> a0 # para :: (Base (Either a b) (Either a b, a0) -> a0) -> Either a b -> a0 # gpara :: (Corecursive (Either a b), Comonad w) => (forall b0. Base (Either a b) (w b0) -> w (Base (Either a b) b0)) -> (Base (Either a b) (EnvT (Either a b) w a0) -> a0) -> Either a b -> a0 # prepro :: Corecursive (Either a b) => (forall b0. Base (Either a b) b0 -> Base (Either a b) b0) -> (Base (Either a b) a0 -> a0) -> Either a b -> a0 # gprepro :: (Corecursive (Either a b), Comonad w) => (forall b0. Base (Either a b) (w b0) -> w (Base (Either a b) b0)) -> (forall c. Base (Either a b) c -> Base (Either a b) c) -> (Base (Either a b) (w a0) -> a0) -> Either a b -> a0 # | |
| (Read a, Read b) :=> (Read (Either a b)) | |
| (Show a, Show b) :=> (Show (Either a b)) | |
| (Eq a, Eq b) :=> (Eq (Either a b)) | |
| (Ord a, Ord b) :=> (Ord (Either a b)) | |
| (a ~ a', b ~ b') => Each (Either a a') (Either b b') a b |
Since: lens-4.18 |
| (FoldableWithIndex i f, FoldableWithIndex j g) => FoldableWithIndex (Either i j) (Product f g) | |
Defined in WithIndex Methods ifoldMap :: Monoid m => (Either i j -> a -> m) -> Product f g a -> m # ifoldMap' :: Monoid m => (Either i j -> a -> m) -> Product f g a -> m # ifoldr :: (Either i j -> a -> b -> b) -> b -> Product f g a -> b # ifoldl :: (Either i j -> b -> a -> b) -> b -> Product f g a -> b # ifoldr' :: (Either i j -> a -> b -> b) -> b -> Product f g a -> b # ifoldl' :: (Either i j -> b -> a -> b) -> b -> Product f g a -> b # | |
| (FoldableWithIndex i f, FoldableWithIndex j g) => FoldableWithIndex (Either i j) (Sum f g) | |
Defined in WithIndex Methods ifoldMap :: Monoid m => (Either i j -> a -> m) -> Sum f g a -> m # ifoldMap' :: Monoid m => (Either i j -> a -> m) -> Sum f g a -> m # ifoldr :: (Either i j -> a -> b -> b) -> b -> Sum f g a -> b # ifoldl :: (Either i j -> b -> a -> b) -> b -> Sum f g a -> b # ifoldr' :: (Either i j -> a -> b -> b) -> b -> Sum f g a -> b # ifoldl' :: (Either i j -> b -> a -> b) -> b -> Sum f g a -> b # | |
| (FoldableWithIndex i f, FoldableWithIndex j g) => FoldableWithIndex (Either i j) (f :*: g) | |
Defined in WithIndex Methods ifoldMap :: Monoid m => (Either i j -> a -> m) -> (f :*: g) a -> m # ifoldMap' :: Monoid m => (Either i j -> a -> m) -> (f :*: g) a -> m # ifoldr :: (Either i j -> a -> b -> b) -> b -> (f :*: g) a -> b # ifoldl :: (Either i j -> b -> a -> b) -> b -> (f :*: g) a -> b # ifoldr' :: (Either i j -> a -> b -> b) -> b -> (f :*: g) a -> b # ifoldl' :: (Either i j -> b -> a -> b) -> b -> (f :*: g) a -> b # | |
| (FoldableWithIndex i f, FoldableWithIndex j g) => FoldableWithIndex (Either i j) (f :+: g) | |
Defined in WithIndex Methods ifoldMap :: Monoid m => (Either i j -> a -> m) -> (f :+: g) a -> m # ifoldMap' :: Monoid m => (Either i j -> a -> m) -> (f :+: g) a -> m # ifoldr :: (Either i j -> a -> b -> b) -> b -> (f :+: g) a -> b # ifoldl :: (Either i j -> b -> a -> b) -> b -> (f :+: g) a -> b # ifoldr' :: (Either i j -> a -> b -> b) -> b -> (f :+: g) a -> b # ifoldl' :: (Either i j -> b -> a -> b) -> b -> (f :+: g) a -> b # | |
| (FunctorWithIndex i f, FunctorWithIndex j g) => FunctorWithIndex (Either i j) (Product f g) | |
| (FunctorWithIndex i f, FunctorWithIndex j g) => FunctorWithIndex (Either i j) (Sum f g) | |
| (FunctorWithIndex i f, FunctorWithIndex j g) => FunctorWithIndex (Either i j) (f :*: g) | |
| (FunctorWithIndex i f, FunctorWithIndex j g) => FunctorWithIndex (Either i j) (f :+: g) | |
| (TraversableWithIndex i f, TraversableWithIndex j g) => TraversableWithIndex (Either i j) (Product f g) | |
| (TraversableWithIndex i f, TraversableWithIndex j g) => TraversableWithIndex (Either i j) (Sum f g) | |
| (TraversableWithIndex i f, TraversableWithIndex j g) => TraversableWithIndex (Either i j) (f :*: g) | |
| (TraversableWithIndex i f, TraversableWithIndex j g) => TraversableWithIndex (Either i j) (f :+: g) | |
| type Unbundled dom d (Either a b) Source # | |
Defined in Clash.Signal.Delayed.Bundle | |
| type Rep1 (Either a :: Type -> Type) | Since: base-4.6.0.0 |
Defined in GHC.Generics type Rep1 (Either a :: Type -> Type) = 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 TryDomain t (Either a b) Source # | |
Defined in Clash.Class.HasDomain.HasSingleDomain | |
| type Unbundled dom (Either a b) Source # | |
Defined in Clash.Signal.Bundle | |
| type Eval (FoldMap f ('Left _a :: Either a3 a1) :: a2 -> Type) | |
| type Eval (FoldMap f ('Right x :: Either a3 a1) :: a2 -> Type) | |
| type Eval (Foldr f y ('Left _a :: Either a3 a1) :: a2 -> Type) | |
| type Eval (Foldr f y ('Right x :: Either a3 a1) :: a2 -> Type) | |
| type Rep (Either a b) | Since: base-4.6.0.0 |
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))) | |
| type BitSize (Either a b) Source # | |
Defined in Clash.Class.BitPack.Internal type BitSize (Either a b) = CLog 2 (GConstructorCount (Rep (Either a b))) + GFieldSize (Rep (Either a b)) | |
| type Base (Either a b) | Example boring stub for non-recursive data types |
| type Eval (Map f ('Left x :: Either a2 a1) :: Either a2 b -> Type) | |
| type Eval (Map f ('Right a3 :: Either a2 a1) :: Either a2 b -> Type) | |
| type Eval (Bimap f g ('Right y :: Either a b1) :: Either a' b2 -> Type) | |
| type Eval (Bimap f g ('Left x :: Either a1 b) :: Either a2 b' -> Type) | |
type IOError = IOException #
The Haskell 2010 type for exceptions in the IO monad.
Any I/O operation may raise an IOException instead of returning a result.
For a more general type of exception, including also those that arise
in pure code, see Exception.
In Haskell 2010, this is an opaque type.
class Fractional a => Floating a where #
Trigonometric and hyperbolic functions and related functions.
The Haskell Report defines no laws for Floating. However, (, +)(
and *)exp are customarily expected to define an exponential field and have
the following properties:
exp (a + b)=exp a * exp bexp (fromInteger 0)=fromInteger 1
Minimal complete definition
pi, exp, log, sin, cos, asin, acos, atan, sinh, cosh, asinh, acosh, atanh
Instances
Basic numeric class.
The Haskell Report defines no laws for Num. However, ( and +)( are
customarily expected to define a ring and have the following properties:*)
- Associativity of
(+) (x + y) + z=x + (y + z)- Commutativity of
(+) x + y=y + xfromInteger0x + fromInteger 0=xnegategives the additive inversex + negate x=fromInteger 0- Associativity of
(*) (x * y) * z=x * (y * z)fromInteger1x * fromInteger 1=xandfromInteger 1 * x=x- Distributivity of
(with respect to*)(+) a * (b + c)=(a * b) + (a * c)and(b + c) * a=(b * a) + (c * a)- Coherence with
toInteger - if the type also implements
Integral, thenfromIntegeris a left inverse fortoInteger, i.e.fromInteger (toInteger i) == i
Note that it isn't customarily expected that a type instance of both Num
and Ord implement an ordered ring. Indeed, in base only Integer and
Rational do.
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 CBool | |
| Num CChar | |
| Num CClock | |
| Num CDouble | |
| Num CFloat | |
| Num CInt | |
| Num CIntMax | |
| Num CIntPtr | |
| Num CLLong | |
| Num CLong | |
| Num CPtrdiff | |
| Num CSChar | |
| Num CSUSeconds | |
Defined in Foreign.C.Types Methods (+) :: CSUSeconds -> CSUSeconds -> CSUSeconds # (-) :: CSUSeconds -> CSUSeconds -> CSUSeconds # (*) :: CSUSeconds -> CSUSeconds -> CSUSeconds # negate :: CSUSeconds -> CSUSeconds # abs :: CSUSeconds -> CSUSeconds # signum :: CSUSeconds -> CSUSeconds # fromInteger :: Integer -> CSUSeconds # | |
| Num CShort | |
| Num CSigAtomic | |
Defined in Foreign.C.Types Methods (+) :: CSigAtomic -> CSigAtomic -> CSigAtomic # (-) :: CSigAtomic -> CSigAtomic -> CSigAtomic # (*) :: CSigAtomic -> CSigAtomic -> CSigAtomic # negate :: CSigAtomic -> CSigAtomic # abs :: CSigAtomic -> CSigAtomic # signum :: CSigAtomic -> CSigAtomic # fromInteger :: Integer -> CSigAtomic # | |
| Num CSize | |
| Num CTime | |
| Num CUChar | |
| Num CUInt | |
| Num CUIntMax | |
| Num CUIntPtr | |
| Num CULLong | |
| Num CULong | |
| Num CUSeconds | |
Defined in Foreign.C.Types | |
| Num CUShort | |
| Num CWchar | |
| Num Int16 | Since: base-2.1 |
| Num Int32 | Since: base-2.1 |
| Num Int64 | Since: base-2.1 |
| Num Int8 | Since: base-2.1 |
| Num Word16 | Since: base-2.1 |
| Num Word32 | Since: base-2.1 |
| Num Word64 | Since: base-2.1 |
| Num Word8 | Since: base-2.1 |
| Num Bit Source # | |
| Num Half | |
| Num Integer | Since: base-2.1 |
| Num Natural | Note that Since: base-4.8.0.0 |
| Num Int | Since: base-2.1 |
| Num Word | Since: base-2.1 |
| () :=> (Num Integer) | |
| () :=> (Num Natural) | |
| () :=> (Num Double) | |
| () :=> (Num Float) | |
| () :=> (Num Int) | |
| () :=> (Num Word) | |
| Class () (Num a) | |
Defined in Data.Constraint | |
| RealFloat a => Num (Complex a) | Since: base-2.1 |
| Num a => Num (Identity a) | Since: base-4.9.0.0 |
Defined in Data.Functor.Identity | |
| Num a => Num (Down a) | Since: base-4.11.0.0 |
| Num a => Num (Max a) | Since: base-4.9.0.0 |
| Num a => Num (Min a) | Since: base-4.9.0.0 |
| Num a => Num (Product a) | Since: base-4.7.0.0 |
Defined in Data.Semigroup.Internal | |
| Num a => Num (Sum a) | Since: base-4.7.0.0 |
| Integral a => Num (Ratio a) | Since: base-2.0.1 |
| (Bounded a, Ord a, SaturatingNum a) => Num (Erroring a) Source # | |
Defined in Clash.Num.Erroring | |
| (Bounded a, Ord a, SaturatingNum a) => Num (Overflowing a) Source # | |
Defined in Clash.Num.Overflowing Methods (+) :: Overflowing a -> Overflowing a -> Overflowing a # (-) :: Overflowing a -> Overflowing a -> Overflowing a # (*) :: Overflowing a -> Overflowing a -> Overflowing a # negate :: Overflowing a -> Overflowing a # abs :: Overflowing a -> Overflowing a # signum :: Overflowing a -> Overflowing a # fromInteger :: Integer -> Overflowing a # | |
| (Ord a, SaturatingNum a) => Num (Saturating a) Source # | |
Defined in Clash.Num.Saturating Methods (+) :: Saturating a -> Saturating a -> Saturating a # (-) :: Saturating a -> Saturating a -> Saturating a # (*) :: Saturating a -> Saturating a -> Saturating a # negate :: Saturating a -> Saturating a # abs :: Saturating a -> Saturating a # signum :: Saturating a -> Saturating a # fromInteger :: Integer -> Saturating a # | |
| SaturatingNum a => Num (Wrapping a) Source # | |
Defined in Clash.Num.Wrapping | |
| (Bounded a, Ord a, SaturatingNum a) => Num (Zeroing a) Source # | |
Defined in Clash.Num.Zeroing | |
| KnownNat n => Num (BitVector n) Source # | NB: |
Defined in Clash.Sized.Internal.BitVector Methods (+) :: BitVector n -> BitVector n -> BitVector n # (-) :: BitVector n -> BitVector n -> BitVector n # (*) :: BitVector n -> BitVector n -> BitVector n # negate :: BitVector n -> BitVector n # abs :: BitVector n -> BitVector n # signum :: BitVector n -> BitVector n # fromInteger :: Integer -> BitVector n # | |
| KnownNat n => Num (Index n) Source # | Operators report an error on overflow and underflow NB: |
| KnownNat n => Num (Signed n) Source # | Operators do NB: |
| KnownNat n => Num (Unsigned n) Source # | NB: |
Defined in Clash.Sized.Internal.Unsigned | |
| (RealFloat a) :=> (Num (Complex a)) | |
| (Num a) :=> (Num (Const a b)) | |
| (Num a) :=> (Num (Identity a)) | |
| (Integral a) :=> (Num (Ratio a)) | |
| Class (Num a) (Fractional a) | |
Defined in Data.Constraint Methods cls :: Fractional a :- Num a # | |
| Num a => Num (Op a b) | |
| Num a => Num (Signal dom a) Source # | |
Defined in Clash.Signal.Internal Methods (+) :: Signal dom a -> Signal dom a -> Signal dom a # (-) :: Signal dom a -> Signal dom a -> Signal dom a # (*) :: Signal dom a -> Signal dom a -> Signal dom a # negate :: Signal dom a -> Signal dom a # abs :: Signal dom a -> Signal dom a # signum :: Signal dom a -> Signal dom a # fromInteger :: Integer -> Signal dom a # | |
| Class (Num a, Ord a) (Real a) | |
| Num a => Num (Const a b) | Since: base-4.9.0.0 |
Defined in Data.Functor.Const | |
| (Applicative f, Num a) => Num (Ap f a) | Note that even if the underlying Commutativity:
Additive inverse:
Distributivity:
Since: base-4.12.0.0 |
| Num (f a) => Num (Alt f a) | Since: base-4.8.0.0 |
| Num a => Num (DSignal dom delay a) Source # | |
Defined in Clash.Signal.Delayed.Internal Methods (+) :: DSignal dom delay a -> DSignal dom delay a -> DSignal dom delay a # (-) :: DSignal dom delay a -> DSignal dom delay a -> DSignal dom delay a # (*) :: DSignal dom delay a -> DSignal dom delay a -> DSignal dom delay a # negate :: DSignal dom delay a -> DSignal dom delay a # abs :: DSignal dom delay a -> DSignal dom delay a # signum :: DSignal dom delay a -> DSignal dom delay a # fromInteger :: Integer -> DSignal dom delay a # | |
| NumFixedC rep int frac => Num (Fixed rep int frac) Source # | The operators of this instance saturate on overflow, and use truncation as the rounding method. When used in a polymorphic setting, use the following Constraint synonyms for less verbose type signatures:
|
Defined in Clash.Sized.Fixed Methods (+) :: Fixed rep int frac -> Fixed rep int frac -> Fixed rep int frac # (-) :: Fixed rep int frac -> Fixed rep int frac -> Fixed rep int frac # (*) :: Fixed rep int frac -> Fixed rep int frac -> Fixed rep int frac # negate :: Fixed rep int frac -> Fixed rep int frac # abs :: Fixed rep int frac -> Fixed rep int frac # signum :: Fixed rep int frac -> Fixed rep int frac # fromInteger :: Integer -> Fixed rep int frac # | |
| Num a => Num (Tagged s a) | |
Defined in Data.Tagged | |
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
class Monad m => MonadFail (m :: Type -> Type) where #
When a value is bound in do-notation, the pattern on the left
hand side of <- might not match. In this case, this class
provides a function to recover.
A Monad without a MonadFail instance may only be used in conjunction
with pattern that always match, such as newtypes, tuples, data types with
only a single data constructor, and irrefutable patterns (~pat).
Instances of MonadFail should satisfy the following law: fail s should
be a left zero for >>=,
fail s >>= f = fail s
If your Monad is also MonadPlus, a popular definition is
fail _ = mzero
fail s should be an action that runs in the monad itself, not an
exception (except in instances of MonadIO). In particular,
fail should not be implemented in terms of error.
Since: base-4.9.0.0
Instances
File and directory names are values of type String, whose precise
meaning is operating system dependent. Files can be opened, yielding a
handle which can then be used to operate on the contents of that file.
realToFrac :: (Real a, Fractional b) => a -> b #
General coercion to Fractional types.
WARNING: This function goes through the Rational type, which does not have values for NaN for example.
This means it does not round-trip.
For Double it also behaves differently with or without -O0:
Prelude> realToFrac nan -- With -O0 -Infinity Prelude> realToFrac nan NaN
fromIntegral :: (Integral a, Num b) => a -> b #
General coercion from Integral types.
WARNING: This function performs silent truncation if the result type is not at least as big as the argument's type.
($) :: forall (r :: RuntimeRep) a (b :: TYPE r). (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
Note that ( is representation-polymorphic in its result type, so that
$)foo where $ Truefoo :: Bool -> Int# is well-typed.
break :: (a -> Bool) -> [a] -> ([a], [a]) #
break, applied to a predicate p and a list xs, returns a tuple where
first element is longest prefix (possibly empty) of xs of elements that
do not satisfy p and second element is the remainder of the list:
>>>break (> 3) [1,2,3,4,1,2,3,4]([1,2,3],[4,1,2,3,4])>>>break (< 9) [1,2,3]([],[1,2,3])>>>break (> 9) [1,2,3]([1,2,3],[])
cycle :: HasCallStack => [a] -> [a] #
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.
>>>cycle []*** Exception: Prelude.cycle: empty list>>>cycle [42][42,42,42,42,42,42,42,42,42,42...>>>cycle [2, 5, 7][2,5,7,2,5,7,2,5,7,2,5,7...
filter :: (a -> Bool) -> [a] -> [a] #
\(\mathcal{O}(n)\). filter, applied to a predicate and a list, returns
the list of those elements that satisfy the predicate; i.e.,
filter p xs = [ x | x <- xs, p x]
>>>filter odd [1, 2, 3][1,3]
Splits the argument into a list of lines stripped of their terminating
\n characters. The \n terminator is optional in a final non-empty
line of the argument string.
For example:
>>>lines "" -- empty input contains no lines[]>>>lines "\n" -- single empty line[""]>>>lines "one" -- single unterminated line["one"]>>>lines "one\n" -- single non-empty line["one"]>>>lines "one\n\n" -- second line is empty["one",""]>>>lines "one\ntwo" -- second line is unterminated["one","two"]>>>lines "one\ntwo\n" -- two non-empty lines["one","two"]
When the argument string is empty, or ends in a \n character, it can be
recovered by passing the result of lines to the unlines function.
Otherwise, unlines appends the missing terminating \n. This makes
unlines . lines idempotent:
(unlines . lines) . (unlines . lines) = (unlines . lines)
span :: (a -> Bool) -> [a] -> ([a], [a]) #
span, applied to a predicate p and a list xs, returns a tuple where
first element is longest prefix (possibly empty) of xs of elements that
satisfy p and second element is the remainder of the list:
>>>span (< 3) [1,2,3,4,1,2,3,4]([1,2],[3,4,1,2,3,4])>>>span (< 9) [1,2,3]([1,2,3],[])>>>span (< 0) [1,2,3]([],[1,2,3])
takeWhile :: (a -> Bool) -> [a] -> [a] #
takeWhile, applied to a predicate p and a list xs, returns the
longest prefix (possibly empty) of xs of elements that satisfy p.
>>>takeWhile (< 3) [1,2,3,4,1,2,3,4][1,2]>>>takeWhile (< 9) [1,2,3][1,2,3]>>>takeWhile (< 0) [1,2,3][]
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
error :: forall (r :: RuntimeRep) (a :: TYPE r). HasCallStack => [Char] -> a #
error stops execution and displays an error message.
(<$>) :: 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 <$> (2,2)(2,True)
uncurry :: (a -> b -> c) -> (a, b) -> c #
uncurry converts a curried function to a function on pairs.
Examples
>>>uncurry (+) (1,2)3
>>>uncurry ($) (show, 1)"1"
>>>map (uncurry max) [(1,2), (3,4), (6,8)][2,4,8]
writeFile :: FilePath -> String -> IO () #
The computation writeFile file str function writes the string str,
to the file file.
seq :: forall {r :: RuntimeRep} a (b :: TYPE r). a -> b -> b infixr 0 #
The value of seq a ba is bottom, and
otherwise equal to b. In other words, it evaluates the first
argument a to weak head normal form (WHNF). seq is usually
introduced to improve performance by avoiding unneeded laziness.
A note on evaluation order: the expression seq a ba will be evaluated before b.
The only guarantee given by seq is that the both a
and b will be evaluated before seq returns a value.
In particular, this means that b may be evaluated before
a. If you need to guarantee a specific order of evaluation,
you must use the function pseq from the "parallel" package.
print :: Show a => a -> IO () #
The print function outputs a value of any printable type to the
standard output device.
Printable types are those that are instances of class Show; print
converts values to strings for output using the show operation and
adds a newline.
For example, a program to print the first 20 integers and their powers of 2 could be written as:
main = print ([(n, 2^n) | n <- [0..19]])
errorWithoutStackTrace :: forall (r :: RuntimeRep) (a :: TYPE r). [Char] -> a #
A variant of error that does not produce a stack trace.
Since: base-4.9.0.0
(=<<) :: Monad m => (a -> m b) -> m a -> m b infixr 1 #
Same as >>=, but with the arguments interchanged.
const x y always evaluates to x, ignoring its second argument.
>>>const 42 "hello"42
>>>map (const 42) [0..3][42,42,42,42]
flip :: (a -> b -> c) -> b -> a -> c #
flip ff.
>>>flip (++) "hello" "world""worldhello"
($!) :: forall (r :: RuntimeRep) a (b :: TYPE r). (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.
until :: (a -> Bool) -> (a -> a) -> a -> a #
until p ff until p holds.
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""
and :: Foldable t => t Bool -> Bool #
and returns the conjunction of a container of Bools. For the
result to be True, the container must be finite; False, however,
results from a False value finitely far from the left end.
Examples
Basic usage:
>>>and []True
>>>and [True]True
>>>and [False]False
>>>and [True, True, False]False
>>>and (False : repeat True) -- Infinite list [False,True,True,True,...False
>>>and (repeat True)* Hangs forever *
or :: Foldable t => t Bool -> Bool #
or returns the disjunction of a container of Bools. For the
result to be False, the container must be finite; True, however,
results from a True value finitely far from the left end.
Examples
Basic usage:
>>>or []False
>>>or [True]True
>>>or [False]False
>>>or [True, True, False]True
>>>or (True : repeat False) -- Infinite list [True,False,False,False,...True
>>>or (repeat False)* Hangs forever *
any :: Foldable t => (a -> Bool) -> t a -> Bool #
Determines whether any element of the structure satisfies the predicate.
Examples
Basic usage:
>>>any (> 3) []False
>>>any (> 3) [1,2]False
>>>any (> 3) [1,2,3,4,5]True
>>>any (> 3) [1..]True
>>>any (> 3) [0, -1..]* Hangs forever *
all :: Foldable t => (a -> Bool) -> t a -> Bool #
Determines whether all elements of the structure satisfy the predicate.
Examples
Basic usage:
>>>all (> 3) []True
>>>all (> 3) [1,2]False
>>>all (> 3) [1,2,3,4,5]False
>>>all (> 3) [1..]False
>>>all (> 3) [4..]* Hangs forever *
notElem :: (Foldable t, Eq a) => a -> t a -> Bool infix 4 #
notElem is the negation of elem.
Examples
Basic usage:
>>>3 `notElem` []True
>>>3 `notElem` [1,2]True
>>>3 `notElem` [1,2,3,4,5]False
For infinite structures, notElem terminates if the value exists at a
finite distance from the left side of the structure:
>>>3 `notElem` [1..]False
>>>3 `notElem` ([4..] ++ [3])* Hangs forever *
utility function converting a Char to a show function that
simply prepends the character unchanged.
showString :: String -> ShowS #
utility function converting a String to a show function that
simply prepends the string unchanged.
(^^) :: (Fractional a, Integral b) => a -> b -> a infixr 8 #
raise a number to an integral power
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.
The lex function reads a single lexeme from the input, discarding
initial white space, and returning the characters that constitute the
lexeme. If the input string contains only white space, lex returns a
single successful `lexeme' consisting of the empty string. (Thus
lex "" = [("","")]lex fails (i.e. returns []).
This lexer is not completely faithful to the Haskell lexical syntax in the following respects:
- Qualified names are not handled properly
- Octal and hexadecimal numerics are not recognized as a single token
- Comments are not treated properly
read :: Read a => String -> a #
The read function reads input from a string, which must be
completely consumed by the input process. read fails with an error if the
parse is unsuccessful, and it is therefore discouraged from being used in
real applications. Use readMaybe or readEither for safe alternatives.
>>>read "123" :: Int123
>>>read "hello" :: Int*** Exception: Prelude.read: no parse
sequence_ :: (Foldable t, Monad m) => t (m a) -> m () #
Evaluate each monadic action in the structure from left to right,
and ignore the results. For a version that doesn't ignore the
results see sequence.
sequence_ is just like sequenceA_, but specialised to monadic
actions.
userError :: String -> IOError #
Construct an IOException value with a string describing the error.
The fail method of the IO instance of the Monad class raises a
userError, thus:
instance Monad IO where ... fail s = ioError (userError s)
getContents :: IO String #
The getContents operation returns all user input as a single string,
which is read lazily as it is needed
(same as hGetContents stdin).
interact :: (String -> String) -> IO () #
The interact function takes a function of type String->String
as its argument. The entire input from the standard input device is
passed to this function as its argument, and the resulting string is
output on the standard output device.
readFile :: FilePath -> IO String #
The readFile function reads a file and
returns the contents of the file as a string.
The file is read lazily, on demand, as with getContents.
appendFile :: FilePath -> String -> IO () #
The computation appendFile file str function appends the string str,
to the file file.
Note that writeFile and appendFile write a literal string
to a file. To write a value of any printable type, as with print,
use the show function to convert the value to a string first.
main = appendFile "squares" (show [(x,x*x) | x <- [0,0.1..2]])