| Safe Haskell | None |
|---|---|
| Language | Haskell2010 |
Data.Signable.Import
Synopsis
- (++) :: [a] -> [a] -> [a]
- seq :: a -> b -> b
- filter :: (a -> Bool) -> [a] -> [a]
- zip :: [a] -> [b] -> [(a, b)]
- fst :: (a, b) -> a
- snd :: (a, b) -> b
- otherwise :: Bool
- ($) :: (a -> b) -> a -> b
- coerce :: Coercible a b => a -> b
- fromIntegral :: (Integral a, Num b) => a -> b
- realToFrac :: (Real a, Fractional b) => a -> b
- guard :: Alternative f => Bool -> f ()
- join :: Monad m => m (m a) -> m a
- 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 Eq a where
- class Fractional a => Floating a where
- class Num a => Fractional a where
- (/) :: a -> a -> a
- recip :: a -> a
- fromRational :: Rational -> a
- class (Real a, Enum a) => Integral a where
- class Applicative m => Monad (m :: Type -> Type) where
- class Functor (f :: Type -> Type) where
- class Num a where
- class Eq a => Ord a where
- class Read a
- class (Num a, Ord a) => Real a where
- toRational :: a -> Rational
- class (Real a, Fractional a) => RealFrac a where
- class Show a
- class Typeable (a :: k)
- class Monad m => MonadFail (m :: Type -> Type) where
- class IsString a where
- fromString :: String -> a
- class Functor f => Applicative (f :: Type -> Type) where
- class Foldable (t :: Type -> Type)
- 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)
- class Generic a
- class KnownNat (n :: Nat)
- class IsLabel (x :: Symbol) a where
- fromLabel :: a
- class Semigroup a where
- class Semigroup a => Monoid a where
- data Bool
- data Char
- data Double = D# Double#
- data Float = F# Float#
- data Int
- data Int8
- data Int16
- data Int32
- data Int64
- data Integer
- data Natural
- data Maybe a
- data Ordering
- data Ratio a = !a :% !a
- type Rational = Ratio Integer
- data IO a
- data Word
- data Word8
- data Word16
- data Word32
- data Word64
- data Ptr a
- data FunPtr a
- data Either a b
- type Type = Type
- data Constraint
- data Nat
- type family CmpNat (a :: Nat) (b :: Nat) :: Ordering where ...
- class a ~R# b => Coercible (a :: k0) (b :: k0)
- data CallStack
- data Handle
- integralEnumFromThenTo :: Integral a => a -> a -> a -> [a]
- integralEnumFromTo :: Integral a => a -> a -> [a]
- integralEnumFromThen :: (Integral a, Bounded a) => a -> a -> [a]
- integralEnumFrom :: (Integral a, Bounded a) => a -> [a]
- gcdWord' :: Word -> Word -> Word
- gcdInt' :: Int -> Int -> Int
- (^^%^^) :: Integral a => Rational -> a -> Rational
- (^%^) :: Integral a => Rational -> a -> Rational
- numericEnumFromThenTo :: (Ord a, Fractional a) => a -> a -> a -> [a]
- numericEnumFromTo :: (Ord a, Fractional a) => a -> a -> [a]
- numericEnumFromThen :: Fractional a => a -> a -> [a]
- numericEnumFrom :: Fractional a => a -> [a]
- notANumber :: Rational
- infinity :: Rational
- ratioPrec1 :: Int
- ratioPrec :: Int
- underflowError :: a
- overflowError :: a
- ratioZeroDenominatorError :: a
- divZeroError :: a
- reduce :: Integral a => a -> a -> Ratio a
- boundedEnumFromThen :: (Enum a, Bounded a) => a -> a -> [a]
- boundedEnumFrom :: (Enum a, Bounded a) => a -> [a]
- maxInt :: Int
- minInt :: Int
- newtype Compose (f :: k -> Type) (g :: k1 -> k) (a :: k1) :: forall k k1. (k -> Type) -> (k1 -> k) -> k1 -> Type = Compose {
- getCompose :: f (g a)
- vacuous :: Functor f => f Void -> f a
- absurd :: Void -> a
- data Void
- mtimesDefault :: (Integral b, Monoid a) => b -> a -> a
- cycle1 :: Semigroup m => m -> m
- data WrappedMonoid m
- newtype Option a = Option {}
- sortWith :: Ord b => (a -> b) -> [a] -> [a]
- class Bifunctor (p :: Type -> Type -> Type) where
- init :: NonEmpty a -> [a]
- last :: NonEmpty a -> a
- tail :: NonEmpty a -> [a]
- head :: NonEmpty a -> a
- nonEmpty :: [a] -> Maybe (NonEmpty a)
- showStackTrace :: IO (Maybe String)
- getStackTrace :: IO (Maybe [Location])
- class Monad m => MonadIO (m :: Type -> Type) where
- mfilter :: MonadPlus m => (a -> Bool) -> m a -> m a
- (<$!>) :: Monad m => (a -> b) -> m a -> m b
- unless :: Applicative f => Bool -> f () -> f ()
- replicateM_ :: Applicative m => Int -> m a -> m ()
- replicateM :: Applicative m => Int -> m a -> m [a]
- foldM_ :: (Foldable t, Monad m) => (b -> a -> m b) -> b -> t a -> m ()
- foldM :: (Foldable t, Monad m) => (b -> a -> m b) -> b -> t a -> m b
- zipWithM_ :: Applicative m => (a -> b -> m c) -> [a] -> [b] -> m ()
- zipWithM :: Applicative m => (a -> b -> m c) -> [a] -> [b] -> m [c]
- mapAndUnzipM :: Applicative m => (a -> m (b, c)) -> [a] -> m ([b], [c])
- forever :: Applicative f => f a -> f b
- (<=<) :: Monad m => (b -> m c) -> (a -> m b) -> a -> m c
- (>=>) :: Monad m => (a -> m b) -> (b -> m c) -> a -> m c
- filterM :: Applicative m => (a -> m Bool) -> [a] -> m [a]
- foldMapDefault :: (Traversable t, Monoid m) => (a -> m) -> t a -> m
- fmapDefault :: Traversable t => (a -> b) -> t a -> t b
- mapAccumR :: Traversable t => (a -> b -> (a, c)) -> a -> t b -> (a, t c)
- mapAccumL :: Traversable t => (a -> b -> (a, c)) -> a -> t b -> (a, t c)
- forM :: (Traversable t, Monad m) => t a -> (a -> m b) -> m (t b)
- optional :: Alternative f => f a -> f (Maybe a)
- newtype ZipList a = ZipList {
- getZipList :: [a]
- (&&&) :: Arrow a => a b c -> a b c' -> a b (c, c')
- newtype Identity a = Identity {
- runIdentity :: a
- stderr :: Handle
- stdin :: Handle
- withFrozenCallStack :: HasCallStack => (HasCallStack -> a) -> a
- callStack :: HasCallStack -> CallStack
- writeTVar :: TVar a -> a -> STM ()
- readTVar :: TVar a -> STM a
- newTVar :: a -> STM (TVar a)
- data STM a
- data TVar a
- stdout :: Handle
- data IORef a
- type FilePath = String
- prettyCallStack :: CallStack -> String
- prettySrcLoc :: SrcLoc -> String
- class (Typeable e, Show e) => Exception e where
- toException :: e -> SomeException
- fromException :: SomeException -> Maybe e
- displayException :: e -> String
- newtype Const a (b :: k) :: forall k. Type -> k -> Type = Const {
- getConst :: a
- minimumBy :: Foldable t => (a -> a -> Ordering) -> t a -> a
- maximumBy :: Foldable t => (a -> a -> Ordering) -> t a -> a
- concatMap :: Foldable t => (a -> [b]) -> t a -> [b]
- concat :: Foldable t => t [a] -> [a]
- foldlM :: (Foldable t, Monad m) => (b -> a -> m b) -> b -> t a -> m b
- foldrM :: (Foldable t, Monad m) => (a -> b -> m b) -> b -> t a -> m b
- newtype First a = First {}
- newtype Last a = Last {}
- stimesMonoid :: (Integral b, Monoid a) => b -> a -> a
- stimesIdempotent :: Integral b => b -> a -> a
- newtype Dual a = Dual {
- getDual :: a
- newtype Endo a = Endo {
- appEndo :: a -> a
- newtype All = All {}
- newtype Any = Any {}
- newtype Sum a = Sum {
- getSum :: a
- newtype Product a = Product {
- getProduct :: a
- newtype Alt (f :: k -> Type) (a :: k) :: forall k. (k -> Type) -> k -> Type = Alt {
- getAlt :: f a
- someNatVal :: Natural -> SomeNat
- natVal :: KnownNat n => proxy n -> Natural
- data SomeNat where
- unfoldr :: (b -> Maybe (a, b)) -> b -> [a]
- sortOn :: Ord b => (a -> b) -> [a] -> [a]
- sortBy :: (a -> a -> Ordering) -> [a] -> [a]
- sort :: Ord a => [a] -> [a]
- permutations :: [a] -> [[a]]
- subsequences :: [a] -> [[a]]
- tails :: [a] -> [[a]]
- inits :: [a] -> [[a]]
- group :: Eq a => [a] -> [[a]]
- genericReplicate :: Integral i => i -> a -> [a]
- genericSplitAt :: Integral i => i -> [a] -> ([a], [a])
- genericDrop :: Integral i => i -> [a] -> [a]
- genericTake :: Integral i => i -> [a] -> [a]
- genericLength :: Num i => [a] -> i
- partition :: (a -> Bool) -> [a] -> ([a], [a])
- transpose :: [[a]] -> [[a]]
- intercalate :: [a] -> [[a]] -> [a]
- intersperse :: a -> [a] -> [a]
- isPrefixOf :: Eq a => [a] -> [a] -> Bool
- readMaybe :: Read a => String -> Maybe a
- reads :: Read a => ReadS a
- isRight :: Either a b -> Bool
- isLeft :: Either a b -> Bool
- partitionEithers :: [Either a b] -> ([a], [b])
- rights :: [Either a b] -> [b]
- lefts :: [Either a b] -> [a]
- either :: (a -> c) -> (b -> c) -> Either a b -> c
- comparing :: Ord a => (b -> a) -> b -> b -> Ordering
- newtype Down a = Down a
- data Proxy (t :: k) :: forall k. k -> Type = Proxy
- data IOMode
- byteSwap64 :: Word64 -> Word64
- byteSwap32 :: Word32 -> Word32
- byteSwap16 :: Word16 -> Word16
- xor :: Bits a => a -> a -> a
- bool :: a -> a -> Bool -> a
- (&) :: a -> (a -> b) -> b
- on :: (b -> b -> c) -> (a -> b) -> a -> a -> c
- fix :: (a -> a) -> a
- void :: Functor f => f a -> f ()
- ($>) :: Functor f => f a -> b -> f b
- (<&>) :: Functor f => f a -> (a -> b) -> f b
- (<$>) :: Functor f => (a -> b) -> f a -> f b
- lcm :: Integral a => a -> a -> a
- gcd :: Integral a => a -> a -> a
- (^^) :: (Fractional a, Integral b) => a -> b -> a
- (^) :: (Num a, Integral b) => a -> b -> a
- odd :: Integral a => a -> Bool
- even :: Integral a => a -> Bool
- denominator :: Ratio a -> a
- numerator :: Ratio a -> a
- (%) :: Integral a => a -> a -> Ratio a
- chr :: Int -> Char
- unzip3 :: [(a, b, c)] -> ([a], [b], [c])
- unzip :: [(a, b)] -> ([a], [b])
- zipWith :: (a -> b -> c) -> [a] -> [b] -> [c]
- zip3 :: [a] -> [b] -> [c] -> [(a, b, c)]
- reverse :: [a] -> [a]
- break :: (a -> Bool) -> [a] -> ([a], [a])
- splitAt :: Int -> [a] -> ([a], [a])
- drop :: Int -> [a] -> [a]
- take :: Int -> [a] -> [a]
- dropWhile :: (a -> Bool) -> [a] -> [a]
- takeWhile :: (a -> Bool) -> [a] -> [a]
- cycle :: [a] -> [a]
- replicate :: Int -> a -> [a]
- repeat :: a -> [a]
- iterate :: (a -> a) -> a -> [a]
- scanr :: (a -> b -> b) -> b -> [a] -> [b]
- scanl :: (b -> a -> b) -> b -> [a] -> [b]
- mapMaybe :: (a -> Maybe b) -> [a] -> [b]
- catMaybes :: [Maybe a] -> [a]
- listToMaybe :: [a] -> Maybe a
- maybeToList :: Maybe a -> [a]
- fromMaybe :: a -> Maybe a -> a
- isNothing :: Maybe a -> Bool
- isJust :: Maybe a -> Bool
- maybe :: b -> (a -> b) -> Maybe a -> b
- swap :: (a, b) -> (b, a)
- uncurry :: (a -> b -> c) -> (a, b) -> c
- curry :: ((a, b) -> c) -> a -> b -> c
- data MVar a
- subtract :: Num a => a -> a -> a
- currentCallStack :: IO [String]
- asTypeOf :: a -> a -> a
- flip :: (a -> b -> c) -> b -> a -> c
- (.) :: (b -> c) -> (a -> b) -> a -> c
- const :: a -> b -> a
- id :: a -> a
- ord :: Char -> Int
- ap :: Monad m => m (a -> b) -> m a -> m b
- liftM5 :: Monad m => (a1 -> a2 -> a3 -> a4 -> a5 -> r) -> m a1 -> m a2 -> m a3 -> m a4 -> m a5 -> m r
- liftM4 :: Monad m => (a1 -> a2 -> a3 -> a4 -> r) -> m a1 -> m a2 -> m a3 -> m a4 -> m r
- liftM3 :: Monad m => (a1 -> a2 -> a3 -> r) -> m a1 -> m a2 -> m a3 -> m r
- liftM2 :: Monad m => (a1 -> a2 -> r) -> m a1 -> m a2 -> m r
- when :: Applicative f => Bool -> f () -> f ()
- (=<<) :: Monad m => (a -> m b) -> m a -> m b
- liftA3 :: Applicative f => (a -> b -> c -> d) -> f a -> f b -> f c -> f d
- (<**>) :: Applicative f => f a -> f (a -> b) -> f b
- class Applicative f => Alternative (f :: Type -> Type) where
- class (Alternative m, Monad m) => MonadPlus (m :: Type -> Type) where
- data NonEmpty a = a :| [a]
- type String = [Char]
- getCallStack :: CallStack -> [([Char], SrcLoc)]
- type HasCallStack = ?callStack :: CallStack
- stimesIdempotentMonoid :: (Integral b, Monoid a) => b -> a -> a
- data SomeException where
- SomeException :: forall e. Exception e => e -> SomeException
- (&&) :: Bool -> Bool -> Bool
- (||) :: Bool -> Bool -> Bool
- not :: Bool -> Bool
- data ByteString
- data IntMap a
- data IntSet
- data Map k a
- data Seq a
- data Set a
- force :: NFData a => a -> a
- ($!!) :: NFData a => (a -> b) -> a -> b
- deepseq :: NFData a => a -> b -> b
- class NFData a where
- rnf :: a -> ()
- class MonadTrans (t :: (Type -> Type) -> Type -> Type) where
- data IdentityT (f :: k -> Type) (a :: k) :: forall k. (k -> Type) -> k -> Type
- gets :: MonadState s m => (s -> a) -> m a
- modify' :: MonadState s m => (s -> s) -> m ()
- modify :: MonadState s m => (s -> s) -> m ()
- class Monad m => MonadState s (m :: Type -> Type) | m -> s where
- asks :: MonadReader r m => (r -> a) -> m a
- class Monad m => MonadReader r (m :: Type -> Type) | m -> r where
- newtype ExceptT e (m :: Type -> Type) a = ExceptT (m (Either e a))
- runExceptT :: ExceptT e m a -> m (Either e a)
- newtype ReaderT r (m :: Type -> Type) a = ReaderT {
- runReaderT :: r -> m a
- type Reader r = ReaderT r Identity
- runReader :: Reader r a -> r -> a
- newtype StateT s (m :: Type -> Type) a = StateT {
- runStateT :: s -> m (a, s)
- type State s = StateT s Identity
- runState :: State s a -> s -> (a, s)
- evalState :: State s a -> s -> a
- execState :: State s a -> s -> s
- withState :: (s -> s) -> State s a -> State s a
- evalStateT :: Monad m => StateT s m a -> s -> m a
- execStateT :: Monad m => StateT s m a -> s -> m s
- modifyTVar' :: TVar a -> (a -> a) -> STM ()
- fromStrict :: Text -> Text
- toStrict :: Text -> Text
- unwords :: [Text] -> Text
- unlines :: [Text] -> Text
- lines :: Text -> [Text]
- words :: Text -> [Text]
- pack :: String -> Text
- decodeUtf8' :: ByteString -> Either UnicodeException Text
- decodeUtf8With :: OnDecodeError -> ByteString -> Text
- data Text
- lenientDecode :: OnDecodeError
- strictDecode :: OnDecodeError
- type OnError a b = String -> Maybe a -> Maybe b
- type OnDecodeError = OnError Word8 Char
- data UnicodeException
- exceptToMaybeT :: Functor m => ExceptT e m a -> MaybeT m a
- maybeToExceptT :: Functor m => e -> MaybeT m a -> ExceptT e m a
- newtype MaybeT (m :: Type -> Type) a = MaybeT {}
- (%~) :: ASetter s t a b -> (a -> b) -> s -> t
- (.~) :: ASetter s t a b -> b -> s -> t
- (^.) :: s -> Getting a s a -> a
- (^..) :: s -> Getting (Endo [a]) s a -> [a]
- (^?) :: s -> Getting (First a) s a -> Maybe a
- over :: ASetter s t a b -> (a -> b) -> s -> t
- set :: ASetter s t a b -> b -> s -> t
- preuse :: MonadState s m => Getting (First a) s a -> m (Maybe a)
- preview :: MonadReader s m => Getting (First a) s a -> m (Maybe a)
- use :: MonadState s m => Getting a s a -> m a
- view :: MonadReader s m => Getting a s a -> m a
- bracket :: MonadMask m => m a -> (a -> m b) -> (a -> m c) -> m c
- bracketOnError :: MonadMask m => m a -> (a -> m b) -> (a -> m c) -> m c
- bracket_ :: MonadMask m => m a -> m b -> m c -> m c
- catch :: (MonadCatch m, Exception e) => m a -> (e -> m a) -> m a
- catchAny :: MonadCatch m => m a -> (SomeException -> m a) -> m a
- finally :: MonadMask m => m a -> m b -> m a
- handleAny :: MonadCatch m => (SomeException -> m a) -> m a -> m a
- onException :: MonadMask m => m a -> m b -> m a
- throwM :: (MonadThrow m, Exception e) => e -> m a
- try :: (MonadCatch m, Exception e) => m a -> m (Either e a)
- tryAny :: MonadCatch m => m a -> m (Either SomeException a)
- pass :: Applicative f => f ()
- ($!) :: (a -> b) -> a -> b
- guardM :: MonadPlus m => m Bool -> m ()
- ifM :: Monad m => m Bool -> m a -> m a -> m a
- unlessM :: Monad m => m Bool -> m () -> m ()
- whenM :: Monad m => m Bool -> m () -> m ()
- asum :: (Container t, Alternative f, Element t ~ f a) => t -> f a
- flipfoldl' :: (Container t, Element t ~ a) => (a -> b -> b) -> b -> t -> b
- forM_ :: (Container t, Monad m) => t -> (Element t -> m b) -> m ()
- for_ :: (Container t, Applicative f) => t -> (Element t -> f b) -> f ()
- mapM_ :: (Container t, Monad m) => (Element t -> m b) -> t -> m ()
- product :: (Container t, Num (Element t)) => t -> Element t
- sequenceA_ :: (Container t, Applicative f, Element t ~ f a) => t -> f ()
- sequence_ :: (Container t, Monad m, Element t ~ m a) => t -> m ()
- sum :: (Container t, Num (Element t)) => t -> Element t
- traverse_ :: (Container t, Applicative f) => (Element t -> f b) -> t -> f ()
- error :: HasCallStack => Text -> a
- trace :: Text -> a -> a
- traceId :: Text -> Text
- traceIdWith :: (a -> Text) -> a -> a
- traceM :: Monad m => Text -> m ()
- traceShow :: Show a => a -> b -> b
- traceShowId :: Show a => a -> a
- traceShowIdWith :: Show s => (a -> s) -> a -> a
- traceShowM :: (Show a, Monad m) => a -> m ()
- undefined :: HasCallStack => a
- evaluateNF :: (NFData a, MonadIO m) => a -> m a
- evaluateNF_ :: (NFData a, MonadIO m) => a -> m ()
- evaluateWHNF :: MonadIO m => a -> m a
- evaluateWHNF_ :: MonadIO m => a -> m ()
- pattern Exc :: forall e. Exception e => e -> SomeException
- bug :: (HasCallStack, Exception e) => e -> a
- note :: MonadError e m => e -> Maybe a -> m a
- (<<$>>) :: (Functor f, Functor g) => (a -> b) -> f (g a) -> f (g b)
- map :: Functor f => (a -> b) -> f a -> f b
- atomically :: MonadIO m => STM a -> m a
- newEmptyMVar :: MonadIO m => m (MVar a)
- newMVar :: MonadIO m => a -> m (MVar a)
- newTVarIO :: MonadIO m => a -> m (TVar a)
- putMVar :: MonadIO m => MVar a -> a -> m ()
- readMVar :: MonadIO m => MVar a -> m a
- readTVarIO :: MonadIO m => TVar a -> m a
- swapMVar :: MonadIO m => MVar a -> a -> m a
- takeMVar :: MonadIO m => MVar a -> m a
- tryPutMVar :: MonadIO m => MVar a -> a -> m Bool
- tryReadMVar :: MonadIO m => MVar a -> m (Maybe a)
- tryTakeMVar :: MonadIO m => MVar a -> m (Maybe a)
- die :: MonadIO m => String -> m a
- exitFailure :: MonadIO m => m a
- exitSuccess :: MonadIO m => m a
- exitWith :: MonadIO m => ExitCode -> m a
- appendFile :: MonadIO m => FilePath -> Text -> m ()
- getLine :: MonadIO m => m Text
- hClose :: MonadIO m => Handle -> m ()
- openFile :: MonadIO m => FilePath -> IOMode -> m Handle
- readFile :: MonadIO m => FilePath -> m Text
- withFile :: (MonadIO m, MonadMask m) => FilePath -> IOMode -> (Handle -> m a) -> m a
- writeFile :: MonadIO m => FilePath -> Text -> m ()
- atomicModifyIORef :: MonadIO m => IORef a -> (a -> (a, b)) -> m b
- atomicModifyIORef' :: MonadIO m => IORef a -> (a -> (a, b)) -> m b
- atomicWriteIORef :: MonadIO m => IORef a -> a -> m ()
- modifyIORef :: MonadIO m => IORef a -> (a -> a) -> m ()
- modifyIORef' :: MonadIO m => IORef a -> (a -> a) -> m ()
- newIORef :: MonadIO m => a -> m (IORef a)
- readIORef :: MonadIO m => IORef a -> m a
- writeIORef :: MonadIO m => IORef a -> a -> m ()
- uncons :: [a] -> Maybe (a, [a])
- whenNotNull :: Applicative f => [a] -> (NonEmpty a -> f ()) -> f ()
- whenNotNullM :: Monad m => m [a] -> (NonEmpty a -> m ()) -> m ()
- allM :: (Container f, Monad m) => (Element f -> m Bool) -> f -> m Bool
- andM :: (Container f, Element f ~ m Bool, Monad m) => f -> m Bool
- anyM :: (Container f, Monad m) => (Element f -> m Bool) -> f -> m Bool
- concatForM :: (Applicative f, Monoid m, Container (l m), Element (l m) ~ m, Traversable l) => l a -> (a -> f m) -> f m
- concatMapM :: (Applicative f, Monoid m, Container (l m), Element (l m) ~ m, Traversable l) => (a -> f m) -> l a -> f m
- orM :: (Container f, Element f ~ m Bool, Monad m) => f -> m Bool
- fromLeft :: a -> Either a b -> a
- fromRight :: b -> Either a b -> b
- leftToMaybe :: Either l r -> Maybe l
- maybeToLeft :: r -> Maybe l -> Either l r
- maybeToRight :: l -> Maybe r -> Either l r
- rightToMaybe :: Either l r -> Maybe r
- whenLeft :: Applicative f => Either l r -> (l -> f ()) -> f ()
- whenLeftM :: Monad m => m (Either l r) -> (l -> m ()) -> m ()
- whenRight :: Applicative f => Either l r -> (r -> f ()) -> f ()
- whenRightM :: Monad m => m (Either l r) -> (r -> m ()) -> m ()
- (?:) :: Maybe a -> a -> a
- whenJust :: Applicative f => Maybe a -> (a -> f ()) -> f ()
- whenJustM :: Monad m => m (Maybe a) -> (a -> m ()) -> m ()
- whenNothing :: Applicative f => Maybe a -> f a -> f a
- whenNothingM :: Monad m => m (Maybe a) -> m a -> m a
- whenNothingM_ :: Monad m => m (Maybe a) -> m () -> m ()
- whenNothing_ :: Applicative f => Maybe a -> f () -> f ()
- evaluatingState :: s -> State s a -> a
- evaluatingStateT :: Functor f => s -> StateT s f a -> f a
- executingState :: s -> State s a -> s
- executingStateT :: Functor f => s -> StateT s f a -> f s
- usingReader :: r -> Reader r a -> a
- usingReaderT :: r -> ReaderT r m a -> m a
- usingState :: s -> State s a -> (a, s)
- usingStateT :: s -> StateT s m a -> m (a, s)
- maybeToMonoid :: Monoid m => Maybe m -> m
- hashNub :: (Eq a, Hashable a) => [a] -> [a]
- ordNub :: Ord a => [a] -> [a]
- sortNub :: Ord a => [a] -> [a]
- unstableNub :: (Eq a, Hashable a) => [a] -> [a]
- hPrint :: (MonadIO m, Show a) => Handle -> a -> m ()
- hPutStr :: (Print a, MonadIO m) => Handle -> a -> m ()
- hPutStrLn :: (Print a, MonadIO m) => Handle -> a -> m ()
- print :: (MonadIO m, Show a) => a -> m ()
- putLText :: MonadIO m => Text -> m ()
- putLTextLn :: MonadIO m => Text -> m ()
- putStr :: (Print a, MonadIO m) => a -> m ()
- putStrLn :: (Print a, MonadIO m) => a -> m ()
- putText :: MonadIO m => Text -> m ()
- putTextLn :: MonadIO m => Text -> m ()
- readEither :: (ToString a, Read b) => a -> Either Text b
- show :: (Show a, IsString b) => a -> b
- class MonadThrow m => MonadCatch (m :: Type -> Type)
- class MonadCatch m => MonadMask (m :: Type -> Type) where
- mask :: ((forall a. m a -> m a) -> m b) -> m b
- uninterruptibleMask :: ((forall a. m a -> m a) -> m b) -> m b
- generalBracket :: m a -> (a -> ExitCase b -> m c) -> (a -> m b) -> m (b, c)
- class Monad m => MonadThrow (m :: Type -> Type)
- class Hashable a where
- hashWithSalt :: Int -> a -> Int
- _1 :: Field1 s t a b => Lens s t a b
- _2 :: Field2 s t a b => Lens s t a b
- _3 :: Field3 s t a b => Lens s t a b
- _4 :: Field4 s t a b => Lens s t a b
- _5 :: Field5 s t a b => Lens s t a b
- type Lens s t a b = forall (f :: Type -> Type). Functor f => (a -> f b) -> s -> f t
- type Lens' s a = Lens s s a a
- type Traversal s t a b = forall (f :: Type -> Type). Applicative f => (a -> f b) -> s -> f t
- type Traversal' s a = Traversal s s a a
- class Container t where
- type Element t :: Type
- toList :: t -> [Element t]
- null :: t -> Bool
- foldr :: (Element t -> b -> b) -> b -> t -> b
- foldl :: (b -> Element t -> b) -> b -> t -> b
- foldl' :: (b -> Element t -> b) -> b -> t -> b
- length :: t -> Int
- elem :: Element t -> t -> Bool
- maximum :: t -> Element t
- minimum :: t -> Element t
- foldMap :: Monoid m => (Element t -> m) -> t -> m
- fold :: t -> Element t
- foldr' :: (Element t -> b -> b) -> b -> t -> b
- foldr1 :: (Element t -> Element t -> Element t) -> t -> Element t
- foldl1 :: (Element t -> Element t -> Element t) -> t -> Element t
- notElem :: Element t -> t -> Bool
- all :: (Element t -> Bool) -> t -> Bool
- any :: (Element t -> Bool) -> t -> Bool
- and :: t -> Bool
- or :: t -> Bool
- find :: (Element t -> Bool) -> t -> Maybe (Element t)
- safeHead :: t -> Maybe (Element t)
- class One x where
- class ToPairs t where
- data Undefined = Undefined
- data Bug = Bug SomeException CallStack
- class Print a
- class ConvertUtf8 a b where
- encodeUtf8 :: a -> b
- decodeUtf8 :: b -> a
- decodeUtf8Strict :: b -> Either UnicodeException a
- type LByteString = ByteString
- type LText = Text
- class ToLText a where
- class ToString a where
- class ToText a where
- type ($) (f :: k -> k1) (a :: k) = f a
- type family Each (c :: [k -> Constraint]) (as :: [k]) :: Constraint where ...
- type With (a :: [k -> Constraint]) (b :: k) = a <+> b
- class SuperComposition a b c | a b -> c where
- (...) :: a -> b -> c
- data HashMap k v
- data HashSet a
- data Vector a
- safeFromIntegral :: forall a b. (Integral a, Integral b, Bounded b) => a -> Maybe b
- liftEither :: (MonadFail m, Show a) => Either a b -> m b
- hashWith :: (ByteArrayAccess ba, HashAlgorithm alg) => alg -> ba -> Digest alg
- hashlazy :: HashAlgorithm a => ByteString -> Digest a
- data SHA256 = SHA256
- data Digest a
- getRandomBytes :: (MonadRandom m, ByteArray byteArray) => Int -> m byteArray
- camel :: String -> String
- fromSnake :: String -> Identifier String
- pascal :: String -> String
- toPascal :: Identifier String -> String
Documentation
(++) :: [a] -> [a] -> [a] infixr 5 #
Append two lists, i.e.,
[x1, ..., xm] ++ [y1, ..., yn] == [x1, ..., xm, y1, ..., yn] [x1, ..., xm] ++ [y1, ...] == [x1, ..., xm, y1, ...]
If the first list is not finite, the result is the first list.
The value of seq a b is bottom if a 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 b does
not guarantee that a 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.
filter :: (a -> Bool) -> [a] -> [a] #
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]
($) :: (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 levity-polymorphic in its result type, so that
foo $ True where foo :: Bool -> Int#
is well-typed
coerce :: Coercible a b => a -> b #
The function coerce allows you to safely convert between values of
types that have the same representation with no run-time overhead. In the
simplest case you can use it instead of a newtype constructor, to go from
the newtype's concrete type to the abstract type. But it also works in
more complicated settings, e.g. converting a list of newtypes to a list of
concrete types.
fromIntegral :: (Integral a, Num b) => a -> b #
general coercion from integral types
realToFrac :: (Real a, Fractional b) => a -> b #
general coercion to fractional types
guard :: Alternative f => Bool -> f () #
Conditional failure of Alternative computations. Defined by
guard True =pure() guard False =empty
Examples
Common uses of guard include conditionally signaling an error in
an error monad and conditionally rejecting the current choice in an
Alternative-based parser.
As an example of signaling an error in the error monad Maybe,
consider a safe division function safeDiv x y that returns
Nothing when the denominator y is zero and Just (x `div`
y)
>>> safeDiv 4 0 Nothing >>> safeDiv 4 2 Just 2
A definition of safeDiv using guards, but not guard:
safeDiv :: Int -> Int -> Maybe Int
safeDiv x y | y /= 0 = Just (x `div` y)
| otherwise = Nothing
A definition of safeDiv using guard and Monad do-notation:
safeDiv :: Int -> Int -> Maybe Int safeDiv x y = do guard (y /= 0) return (x `div` y)
join :: Monad m => m (m a) -> m a #
The join function is the conventional monad join operator. It
is used to remove one level of monadic structure, projecting its
bound argument into the outer level.
Examples
A common use of join is to run an IO computation returned from
an STM transaction, since STM transactions
can't perform IO directly. Recall that
atomically :: STM a -> IO a
is used to run STM transactions atomically. So, by
specializing the types of atomically and join to
atomically:: STM (IO b) -> IO (IO b)join:: IO (IO b) -> IO b
we can compose them as
join.atomically:: STM (IO b) -> IO b
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 Bool | Since: base-2.1 |
| Bounded Char | Since: base-2.1 |
| Bounded Int | Since: base-2.1 |
| Bounded Int8 | Since: base-2.1 |
| Bounded Int16 | Since: base-2.1 |
| Bounded Int32 | Since: base-2.1 |
| Bounded Int64 | Since: base-2.1 |
| Bounded Ordering | Since: base-2.1 |
| Bounded Word | Since: base-2.1 |
| Bounded Word8 | Since: base-2.1 |
| Bounded Word16 | Since: base-2.1 |
| Bounded Word32 | Since: base-2.1 |
| Bounded Word64 | Since: base-2.1 |
| Bounded VecCount | Since: base-4.10.0.0 |
| Bounded VecElem | Since: base-4.10.0.0 |
| Bounded () | Since: base-2.1 |
| Bounded All | Since: base-2.1 |
| Bounded Any | Since: base-2.1 |
| Bounded Associativity | Since: base-4.9.0.0 |
Defined in GHC.Generics | |
| Bounded SourceUnpackedness | Since: base-4.9.0.0 |
Defined in GHC.Generics | |
| Bounded SourceStrictness | Since: base-4.9.0.0 |
Defined in GHC.Generics | |
| Bounded DecidedStrictness | Since: base-4.9.0.0 |
Defined in GHC.Generics | |
| Bounded Undefined | |
| Bounded Encoding | |
Defined in Basement.String | |
| Bounded UTF32_Invalid | |
Defined in Basement.String.Encoding.UTF32 | |
| Bounded a => Bounded (Min a) | Since: base-4.9.0.0 |
| Bounded a => Bounded (Max a) | Since: base-4.9.0.0 |
| Bounded a => Bounded (First a) | Since: base-4.9.0.0 |
| Bounded a => Bounded (Last a) | Since: base-4.9.0.0 |
| Bounded m => Bounded (WrappedMonoid m) | Since: base-4.9.0.0 |
Defined in Data.Semigroup | |
| Bounded a => Bounded (Identity a) | Since: base-4.9.0.0 |
| Bounded a => Bounded (Dual a) | Since: base-2.1 |
| Bounded a => Bounded (Sum a) | Since: base-2.1 |
| Bounded a => Bounded (Product a) | Since: base-2.1 |
| (Bounded a, Bounded b) => Bounded (a, b) | Since: base-2.1 |
| Bounded (Proxy t) | Since: base-4.7.0.0 |
| (Bounded a, Bounded b, Bounded c) => Bounded (a, b, c) | Since: base-2.1 |
| 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 a, Bounded b, Bounded c, Bounded d) => Bounded (a, b, c, d) | Since: base-2.1 |
| a ~~ b => Bounded (a :~~: b) | Since: base-4.10.0.0 |
| (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
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, == is customarily
expected to implement an equivalence relationship where two values comparing
equal are indistinguishable by "public" functions, with a "public" function
being one not allowing to see implementation details. For example, for a
type representing non-normalised natural numbers modulo 100, a "public"
function doesn't make the difference between 1 and 201. It is expected to
have the following properties:
Instances
| Eq Bool | |
| Eq Char | |
| Eq Double | Note that due to the presence of
Also note that
|
| Eq Float | Note that due to the presence of
Also note that
|
| Eq Int | |
| Eq Int8 | Since: base-2.1 |
| Eq Int16 | Since: base-2.1 |
| Eq Int32 | Since: base-2.1 |
| Eq Int64 | Since: base-2.1 |
| Eq Integer | |
| Eq Natural | Since: base-4.8.0.0 |
| Eq Ordering | |
| Eq Word | |
| Eq Word8 | Since: base-2.1 |
| Eq Word16 | Since: base-2.1 |
| Eq Word32 | Since: base-2.1 |
| Eq Word64 | Since: base-2.1 |
| Eq SomeTypeRep | |
Defined in Data.Typeable.Internal | |
| Eq Exp | |
| Eq Match | |
| Eq Clause | |
| Eq Pat | |
| Eq Type | |
| Eq Dec | |
| Eq Name | |
| Eq FunDep | |
| Eq InjectivityAnn | |
Defined in Language.Haskell.TH.Syntax Methods (==) :: InjectivityAnn -> InjectivityAnn -> Bool # (/=) :: InjectivityAnn -> InjectivityAnn -> Bool # | |
| Eq Overlap | |
| Eq () | |
| Eq TyCon | |
| Eq Module | |
| Eq TrName | |
| Eq Handle | Since: base-4.1.0.0 |
| Eq BigNat | |
| Eq Void | Since: base-4.8.0.0 |
| Eq SpecConstrAnnotation | Since: base-4.3.0.0 |
Defined in GHC.Exts Methods (==) :: SpecConstrAnnotation -> SpecConstrAnnotation -> Bool # (/=) :: SpecConstrAnnotation -> SpecConstrAnnotation -> Bool # | |
| Eq Version | Since: base-2.1 |
| Eq ThreadId | Since: base-4.2.0.0 |
| Eq BlockReason | Since: base-4.3.0.0 |
Defined in GHC.Conc.Sync | |
| Eq ThreadStatus | Since: base-4.3.0.0 |
Defined in GHC.Conc.Sync | |
| Eq AsyncException | Since: base-4.2.0.0 |
Defined in GHC.IO.Exception Methods (==) :: AsyncException -> AsyncException -> Bool # (/=) :: AsyncException -> AsyncException -> Bool # | |
| Eq ArrayException | Since: base-4.2.0.0 |
Defined in GHC.IO.Exception Methods (==) :: ArrayException -> ArrayException -> Bool # (/=) :: ArrayException -> ArrayException -> Bool # | |
| Eq ExitCode | |
| Eq IOErrorType | Since: base-4.1.0.0 |
Defined in GHC.IO.Exception | |
| Eq BufferMode | Since: base-4.2.0.0 |
Defined in GHC.IO.Handle.Types | |
| Eq Newline | Since: base-4.2.0.0 |
| Eq NewlineMode | Since: base-4.2.0.0 |
Defined in GHC.IO.Handle.Types | |
| Eq MaskingState | Since: base-4.3.0.0 |
Defined in GHC.IO | |
| Eq IOException | Since: base-4.1.0.0 |
Defined in GHC.IO.Exception | |
| Eq ErrorCall | Since: base-4.7.0.0 |
| Eq ArithException | Since: base-3.0 |
Defined in GHC.Exception.Type Methods (==) :: ArithException -> ArithException -> Bool # (/=) :: ArithException -> ArithException -> Bool # | |
| Eq All | Since: base-2.1 |
| Eq Any | Since: base-2.1 |
| Eq Fixity | Since: base-4.6.0.0 |
| Eq Associativity | Since: base-4.6.0.0 |
Defined in GHC.Generics Methods (==) :: Associativity -> Associativity -> Bool # (/=) :: Associativity -> Associativity -> Bool # | |
| Eq SourceUnpackedness | Since: base-4.9.0.0 |
Defined in GHC.Generics Methods (==) :: SourceUnpackedness -> SourceUnpackedness -> Bool # (/=) :: SourceUnpackedness -> SourceUnpackedness -> Bool # | |
| Eq SourceStrictness | Since: base-4.9.0.0 |
Defined in GHC.Generics Methods (==) :: SourceStrictness -> SourceStrictness -> Bool # (/=) :: SourceStrictness -> SourceStrictness -> Bool # | |
| Eq DecidedStrictness | Since: base-4.9.0.0 |
Defined in GHC.Generics Methods (==) :: DecidedStrictness -> DecidedStrictness -> Bool # (/=) :: DecidedStrictness -> DecidedStrictness -> Bool # | |
| Eq SomeNat | Since: base-4.7.0.0 |
| Eq IOMode | Since: base-4.2.0.0 |
| Eq SrcLoc | Since: base-4.9.0.0 |
| Eq ByteString | |
Defined in Data.ByteString.Lazy.Internal | |
| Eq ByteString | |
Defined in Data.ByteString.Internal | |
| Eq IntSet | |
| Eq Extension | |
| Eq ForeignSrcLang | |
Defined in GHC.ForeignSrcLang.Type Methods (==) :: ForeignSrcLang -> ForeignSrcLang -> Bool # (/=) :: ForeignSrcLang -> ForeignSrcLang -> Bool # | |
| Eq Doc | |
| Eq TextDetails | |
Defined in Text.PrettyPrint.Annotated.HughesPJ | |
| Eq Style | |
| Eq Mode | |
| Eq ModName | |
| Eq PkgName | |
| Eq Module | |
| Eq OccName | |
| Eq NameFlavour | |
Defined in Language.Haskell.TH.Syntax | |
| Eq NameSpace | |
| Eq Loc | |
| Eq Info | |
| Eq ModuleInfo | |
Defined in Language.Haskell.TH.Syntax | |
| Eq Fixity | |
| Eq FixityDirection | |
Defined in Language.Haskell.TH.Syntax Methods (==) :: FixityDirection -> FixityDirection -> Bool # (/=) :: FixityDirection -> FixityDirection -> Bool # | |
| Eq Lit | |
| Eq Body | |
| Eq Guard | |
| Eq Stmt | |
| Eq Range | |
| Eq DerivClause | |
Defined in Language.Haskell.TH.Syntax | |
| Eq DerivStrategy | |
Defined in Language.Haskell.TH.Syntax Methods (==) :: DerivStrategy -> DerivStrategy -> Bool # (/=) :: DerivStrategy -> DerivStrategy -> Bool # | |
| Eq TypeFamilyHead | |
Defined in Language.Haskell.TH.Syntax Methods (==) :: TypeFamilyHead -> TypeFamilyHead -> Bool # (/=) :: TypeFamilyHead -> TypeFamilyHead -> Bool # | |
| Eq TySynEqn | |
| Eq Foreign | |
| Eq Callconv | |
| Eq Safety | |
| Eq Pragma | |
| Eq Inline | |
| Eq RuleMatch | |
| Eq Phases | |
| Eq RuleBndr | |
| Eq AnnTarget | |
| Eq SourceUnpackedness | |
Defined in Language.Haskell.TH.Syntax Methods (==) :: SourceUnpackedness -> SourceUnpackedness -> Bool # (/=) :: SourceUnpackedness -> SourceUnpackedness -> Bool # | |
| Eq SourceStrictness | |
Defined in Language.Haskell.TH.Syntax Methods (==) :: SourceStrictness -> SourceStrictness -> Bool # (/=) :: SourceStrictness -> SourceStrictness -> Bool # | |
| Eq DecidedStrictness | |
Defined in Language.Haskell.TH.Syntax Methods (==) :: DecidedStrictness -> DecidedStrictness -> Bool # (/=) :: DecidedStrictness -> DecidedStrictness -> Bool # | |
| Eq Con | |
| Eq Bang | |
| Eq PatSynDir | |
| Eq PatSynArgs | |
Defined in Language.Haskell.TH.Syntax | |
| Eq TyVarBndr | |
| Eq FamilyResultSig | |
Defined in Language.Haskell.TH.Syntax Methods (==) :: FamilyResultSig -> FamilyResultSig -> Bool # (/=) :: FamilyResultSig -> FamilyResultSig -> Bool # | |
| Eq TyLit | |
| Eq Role | |
| Eq AnnLookup | |
| Eq UnicodeException | |
Defined in Data.Text.Encoding.Error Methods (==) :: UnicodeException -> UnicodeException -> Bool # (/=) :: UnicodeException -> UnicodeException -> Bool # | |
| Eq Undefined | |
| Eq ByteArray | |
| Eq CryptoError | |
| Eq Encoding | |
| Eq String | |
| Eq ASCII7_Invalid | |
| Eq ISO_8859_1_Invalid | |
| Eq UTF16_Invalid | |
| Eq UTF32_Invalid | |
| Eq FileSize | |
| Eq CodePoint | |
| Eq DecoderState | |
| Eq CompactSig | |
| Eq Msg | |
| Eq PubKey | |
| Eq SecKey | |
| Eq Sig | |
| Eq Tweak | |
| Eq ASN1Error | |
| Eq ASN1 | |
| Eq BitArray | |
| Eq BitArrayOutOfBound | |
| Eq ASN1ConstructionType | |
| Eq ASN1TimeType | |
| Eq PEM | |
| Eq StdGen | |
| Eq Sig Source # | |
| Eq PrvKey Source # | |
| Eq PubKey Source # | |
| Eq ECPointFormat Source # | |
Defined in Data.Signable.Class Methods (==) :: ECPointFormat -> ECPointFormat -> Bool # (/=) :: ECPointFormat -> ECPointFormat -> Bool # | |
| Eq SignableError Source # | |
Defined in Data.Signable.Class Methods (==) :: SignableError -> SignableError -> Bool # (/=) :: SignableError -> SignableError -> Bool # | |
| Eq Alg Source # | |
| Eq a => Eq [a] | |
| Eq a => Eq (Maybe a) | Since: base-2.1 |
| Eq a => Eq (Ratio a) | Since: base-2.1 |
| Eq (Ptr a) | Since: base-2.1 |
| Eq (FunPtr a) | |
| Eq p => Eq (Par1 p) | Since: base-4.7.0.0 |
| Eq a => Eq (Min a) | Since: base-4.9.0.0 |
| Eq a => Eq (Max a) | Since: base-4.9.0.0 |
| Eq a => Eq (First a) | Since: base-4.9.0.0 |
| Eq a => Eq (Last a) | Since: base-4.9.0.0 |
| Eq m => Eq (WrappedMonoid m) | Since: base-4.9.0.0 |
Defined in Data.Semigroup Methods (==) :: WrappedMonoid m -> WrappedMonoid m -> Bool # (/=) :: WrappedMonoid m -> WrappedMonoid m -> Bool # | |
| Eq a => Eq (Option a) | Since: base-4.9.0.0 |
| Eq a => Eq (ZipList a) | Since: base-4.7.0.0 |
| Eq a => Eq (Identity a) | Since: base-4.8.0.0 |
| Eq (TVar a) | Since: base-4.8.0.0 |
| Eq (IORef a) | ^ Pointer equality. Since: base-4.1.0.0 |
| Eq a => Eq (First a) | Since: base-2.1 |
| Eq a => Eq (Last a) | Since: base-2.1 |
| Eq a => Eq (Dual a) | Since: base-2.1 |
| Eq a => Eq (Sum a) | Since: base-2.1 |
| Eq a => Eq (Product a) | Since: base-2.1 |
| Eq a => Eq (Down a) | Since: base-4.6.0.0 |
| Eq (MVar a) | Since: base-4.1.0.0 |
| Eq a => Eq (NonEmpty a) | Since: base-4.9.0.0 |
| Eq a => Eq (IntMap a) | |
| Eq a => Eq (Tree a) | |
| Eq a => Eq (Seq a) | |
| Eq a => Eq (ViewL a) | |
| Eq a => Eq (ViewR a) | |
| Eq a => Eq (Set a) | |
| Eq (Doc a) | |
| Eq a => Eq (AnnotDetails a) | |
Defined in Text.PrettyPrint.Annotated.HughesPJ Methods (==) :: AnnotDetails a -> AnnotDetails a -> Bool # (/=) :: AnnotDetails a -> AnnotDetails a -> Bool # | |
| Eq a => Eq (Span a) | |
| Eq a => Eq (HashSet a) | |
| Eq a => Eq (Vector a) | |
| Eq (MutableByteArray s) | |
| (Prim a, Eq a) => Eq (Vector a) | |
| Eq (Digest a) | |
| (PrimType ty, Eq ty) => Eq (Block ty) | |
| Eq a => Eq (CryptoFailable a) | |
| Eq a => Eq (Identifier a) | |
| (PrimType ty, Eq ty) => Eq (UArray ty) | |
| Eq (Offset ty) | |
| Eq (CountOf ty) | |
| Eq a => Eq (NonEmpty a) | |
| Eq (Zn n) | |
| Eq (Zn64 n) | |
| Eq a => Eq (Hashed a) | |
| Eq a => Eq (Array a) | |
| (Eq a, Prim a) => Eq (PrimArray a) | |
| Eq a => Eq (SmallArray a) | |
| (Storable a, Eq a) => Eq (Vector a) | |
| Eq g => Eq (StateGen g) | |
| (Eq a, Eq b) => Eq (Either a b) | Since: base-2.1 |
| Eq (V1 p) | Since: base-4.9.0.0 |
| Eq (U1 p) | Since: base-4.9.0.0 |
| Eq (TypeRep a) | Since: base-2.1 |
| (Eq a, Eq b) => Eq (a, b) | |
| (Ix i, Eq e) => Eq (Array i e) | Since: base-2.1 |
| Eq a => Eq (Arg a b) | Since: base-4.9.0.0 |
| Eq (Proxy s) | Since: base-4.7.0.0 |
| (Eq k, Eq a) => Eq (Map k a) | |
| (Eq1 m, Eq a) => Eq (MaybeT m a) | |
| (Eq k, Eq v) => Eq (HashMap k v) | |
| Eq (MutableArray s a) | |
| Eq (MutablePrimArray s a) | |
| Eq (SmallMutableArray s a) | |
| (Eq k, Eq v) => Eq (Leaf k v) | |
| Eq (f p) => Eq (Rec1 f p) | Since: base-4.7.0.0 |
| Eq (URec (Ptr ()) p) | Since: base-4.9.0.0 |
| Eq (URec Char p) | Since: base-4.9.0.0 |
| Eq (URec Double p) | Since: base-4.9.0.0 |
| Eq (URec Float p) | |
| Eq (URec Int p) | Since: base-4.9.0.0 |
| Eq (URec Word p) | Since: base-4.9.0.0 |
| (Eq a, Eq b, Eq c) => Eq (a, b, c) | |
| Eq (STArray s i e) | Since: base-2.1 |
| Eq a => Eq (Const a b) | Since: base-4.9.0.0 |
| Eq (f a) => Eq (Ap f a) | Since: base-4.12.0.0 |
| Eq (f a) => Eq (Alt f a) | Since: base-4.8.0.0 |
| Eq (a :~: b) | Since: base-4.7.0.0 |
| (Eq1 f, Eq a) => Eq (IdentityT f a) | |
| (Eq e, Eq1 m, Eq a) => Eq (ErrorT e m a) | |
| (Eq e, Eq1 m, Eq a) => Eq (ExceptT e m a) | |
| Eq c => Eq (K1 i c p) | Since: base-4.7.0.0 |
| (Eq (f p), Eq (g p)) => Eq ((f :+: g) p) | Since: base-4.7.0.0 |
| (Eq (f p), Eq (g p)) => Eq ((f :*: g) p) | Since: base-4.7.0.0 |
| (Eq a, Eq b, Eq c, Eq d) => Eq (a, b, c, d) | |
| Eq (a :~~: b) | Since: base-4.10.0.0 |
| Eq (f p) => Eq (M1 i c f p) | Since: base-4.7.0.0 |
| Eq (f (g p)) => Eq ((f :.: g) p) | Since: base-4.7.0.0 |
| (Eq a, Eq b, Eq c, Eq d, Eq e) => Eq (a, b, c, d, e) | |
| (Eq1 f, Eq1 g, Eq a) => Eq (Compose f g a) | Since: base-4.9.0.0 |
| (Eq a, Eq b, Eq c, Eq d, Eq e, Eq f) => Eq (a, b, c, d, e, f) | |
| (Eq a, Eq b, Eq c, Eq d, Eq e, Eq f, Eq g) => Eq (a, b, c, d, e, f, g) | |
| (Eq a, Eq b, Eq c, Eq d, Eq e, Eq f, Eq g, Eq h) => Eq (a, b, c, d, e, f, g, h) | |
| (Eq a, Eq b, Eq c, Eq d, Eq e, Eq f, Eq g, Eq h, Eq i) => Eq (a, b, c, d, e, f, g, h, i) | |
| (Eq a, Eq b, Eq c, Eq d, Eq e, Eq f, Eq g, Eq h, Eq i, Eq j) => Eq (a, b, c, d, e, f, g, h, i, j) | |
| (Eq a, Eq b, Eq c, Eq d, Eq e, Eq f, Eq g, Eq h, Eq i, Eq j, Eq k) => Eq (a, b, c, d, e, f, g, h, i, j, k) | |
| (Eq a, Eq b, Eq c, Eq d, Eq e, Eq f, Eq g, Eq h, Eq i, Eq j, Eq k, Eq l) => Eq (a, b, c, d, e, f, g, h, i, j, k, l) | |
| (Eq a, Eq b, Eq c, Eq d, Eq e, Eq f, Eq g, Eq h, Eq i, Eq j, Eq k, Eq l, Eq m) => Eq (a, b, c, d, e, f, g, h, i, j, k, l, m) | |
| (Eq a, Eq b, Eq c, Eq d, Eq e, Eq f, Eq g, Eq h, Eq i, Eq j, Eq k, Eq l, Eq m, Eq n) => Eq (a, b, c, d, e, f, g, h, i, j, k, l, m, n) | |
| (Eq a, Eq b, Eq c, Eq d, Eq e, Eq f, Eq g, Eq h, Eq i, Eq j, Eq k, Eq l, Eq m, Eq n, Eq o) => Eq (a, b, c, d, e, f, g, h, i, j, k, l, m, n, o) | |
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
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
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
| Integral a => Fractional (Ratio a) | Since: base-2.0.1 |
| Fractional a => Fractional (Identity a) | Since: base-4.9.0.0 |
| Fractional a => Fractional (Const a b) | Since: base-4.9.0.0 |
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.
Methods
quot :: a -> a -> a infixl 7 #
integer division truncated toward zero
integer remainder, satisfying
(x `quot` y)*y + (x `rem` y) == x
integer division truncated toward negative infinity
integer modulus, satisfying
(x `div` y)*y + (x `mod` y) == x
conversion to Integer
Instances
| Integral Int | Since: base-2.0.1 |
| Integral Int8 | Since: base-2.1 |
| Integral Int16 | Since: base-2.1 |
| Integral Int32 | Since: base-2.1 |
| Integral Int64 | Since: base-2.1 |
| Integral Integer | Since: base-2.0.1 |
Defined in GHC.Real | |
| Integral Natural | Since: base-4.8.0.0 |
Defined in GHC.Real | |
| Integral Word | Since: base-2.1 |
| Integral Word8 | Since: base-2.1 |
| Integral Word16 | Since: base-2.1 |
| Integral Word32 | Since: base-2.1 |
| Integral Word64 | Since: base-2.1 |
| Integral a => Integral (Identity a) | Since: base-4.9.0.0 |
Defined in Data.Functor.Identity Methods quot :: Identity a -> Identity a -> Identity a # rem :: Identity a -> Identity a -> Identity a # div :: Identity a -> Identity a -> Identity a # mod :: Identity a -> Identity a -> Identity a # quotRem :: Identity a -> Identity a -> (Identity a, Identity a) # divMod :: Identity a -> Identity a -> (Identity a, Identity a) # | |
| Integral a => Integral (Const a b) | Since: base-4.9.0.0 |
Defined in Data.Functor.Const Methods quot :: Const a b -> Const a b -> Const a b # rem :: Const a b -> Const a b -> Const a b # div :: Const a b -> Const a b -> Const a b # mod :: Const a b -> Const a b -> Const a b # quotRem :: Const a b -> Const a b -> (Const a b, Const a b) # divMod :: Const a b -> Const a b -> (Const a b, Const a b) # | |
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 laws:
Furthermore, the Monad and Applicative operations should relate as follows:
The above laws imply:
and that pure and (<*>) satisfy the applicative functor laws.
The instances of Monad for lists, Maybe and IO
defined in the Prelude satisfy these laws.
Minimal complete definition
Methods
(>>=) :: m a -> (a -> m b) -> m b infixl 1 #
Sequentially compose two actions, passing any value produced by the first as an argument to the second.
(>>) :: 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.
Inject a value into the monadic type.
Instances
| Monad [] | Since: base-2.1 |
| Monad Maybe | Since: base-2.1 |
| Monad IO | Since: base-2.1 |
| Monad Par1 | Since: base-4.9.0.0 |
| Monad Q | |
| Monad Min | Since: base-4.9.0.0 |
| Monad Max | Since: base-4.9.0.0 |
| Monad First | Since: base-4.9.0.0 |
| Monad Last | Since: base-4.9.0.0 |
| Monad Option | Since: base-4.9.0.0 |
| Monad Identity | Since: base-4.8.0.0 |
| Monad STM | Since: base-4.3.0.0 |
| Monad First | Since: base-4.8.0.0 |
| Monad Last | Since: base-4.8.0.0 |
| Monad Dual | Since: base-4.8.0.0 |
| Monad Sum | Since: base-4.8.0.0 |
| Monad Product | Since: base-4.8.0.0 |
| Monad Down | Since: base-4.11.0.0 |
| Monad ReadP | Since: base-2.1 |
| Monad NonEmpty | Since: base-4.9.0.0 |
| Monad Tree | |
| Monad Seq | |
| Monad Vector | |
| Monad Id | |
| Monad Box | |
| Monad P | Since: base-2.1 |
| Monad CryptoFailable | |
| Monad Identifier | |
| Monad Array | |
| Monad SmallArray | |
| Monad (Either e) | Since: base-4.4.0.0 |
| Monad (U1 :: Type -> Type) | Since: base-4.9.0.0 |
| Monoid a => Monad ((,) a) | Since: base-4.9.0.0 |
| 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 # fail :: String -> WrappedMonad m a # | |
| ArrowApply a => Monad (ArrowMonad a) | Since: base-2.1 |
Defined in Control.Arrow Methods (>>=) :: ArrowMonad a a0 -> (a0 -> ArrowMonad a b) -> ArrowMonad a b # (>>) :: ArrowMonad a a0 -> ArrowMonad a b -> ArrowMonad a b # return :: a0 -> ArrowMonad a a0 # fail :: String -> ArrowMonad a a0 # | |
| Monad (Proxy :: Type -> Type) | Since: base-4.7.0.0 |
| Monad m => Monad (MaybeT m) | |
| DRG gen => Monad (MonadPseudoRandom gen) | |
Defined in Crypto.Random.Types | |
| Monad f => Monad (Rec1 f) | Since: base-4.9.0.0 |
| Monad f => Monad (Ap f) | Since: base-4.12.0.0 |
| Monad f => Monad (Alt f) | Since: base-4.8.0.0 |
| (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 # fail :: String -> WhenMissing f x a # | |
| Monad m => Monad (IdentityT m) | |
| (Monad m, Error e) => Monad (ErrorT e m) | |
| Monad m => Monad (ExceptT e m) | |
| Monad m => Monad (ReaderT r m) | |
| Monad m => Monad (StateT s m) | |
| Monad m => Monad (StateT s m) | |
| Monad ((->) r :: Type -> Type) | Since: base-2.1 |
| (Monad f, Monad g) => Monad (f :*: g) | Since: base-4.9.0.0 |
| (Monad f, Applicative f) => Monad (WhenMatched f x y) | Equivalent to Since: containers-0.5.9 |
Defined in Data.IntMap.Internal Methods (>>=) :: WhenMatched f x y a -> (a -> WhenMatched f x y b) -> WhenMatched f x y b # (>>) :: WhenMatched f x y a -> WhenMatched f x y b -> WhenMatched f x y b # return :: a -> WhenMatched f x y a # fail :: String -> WhenMatched f x y a # | |
| (Applicative f, Monad f) => Monad (WhenMissing f k x) | Equivalent to Since: containers-0.5.9 |
Defined in Data.Map.Internal Methods (>>=) :: WhenMissing f k x a -> (a -> WhenMissing f k x b) -> WhenMissing f k x b # (>>) :: WhenMissing f k x a -> WhenMissing f k x b -> WhenMissing f k x b # return :: a -> WhenMissing f k x a # fail :: String -> WhenMissing f k x a # | |
| Monad f => Monad (M1 i c f) | Since: base-4.9.0.0 |
| (Monad f, Applicative f) => Monad (WhenMatched f k x y) | Equivalent to Since: containers-0.5.9 |
Defined in Data.Map.Internal Methods (>>=) :: WhenMatched f k x y a -> (a -> WhenMatched f k x y b) -> WhenMatched f k x y b # (>>) :: WhenMatched f k x y a -> WhenMatched f k x y b -> WhenMatched f k x y b # return :: a -> WhenMatched f k x y a # fail :: String -> WhenMatched f k x y a # | |
| Monad state => Monad (Builder collection mutCollection step state err) | |
Defined in Basement.MutableBuilder Methods (>>=) :: Builder collection mutCollection step state err a -> (a -> Builder collection mutCollection step state err b) -> Builder collection mutCollection step state err b # (>>) :: Builder collection mutCollection step state err a -> Builder collection mutCollection step state err b -> Builder collection mutCollection step state err b # return :: a -> Builder collection mutCollection step state err a # fail :: String -> Builder collection mutCollection step state err a # | |
class Functor (f :: Type -> Type) where #
The Functor class is used for types that can be mapped over.
Instances of Functor should satisfy the following laws:
fmap id == id fmap (f . g) == fmap f . fmap g
The instances of Functor for lists, Maybe and IO
satisfy these laws.
Minimal complete definition
Instances
| Functor [] | Since: base-2.1 |
| Functor Maybe | Since: base-2.1 |
| Functor IO | Since: base-2.1 |
| Functor Par1 | Since: base-4.9.0.0 |
| Functor Q | |
| Functor Min | Since: base-4.9.0.0 |
| Functor Max | Since: base-4.9.0.0 |
| Functor First | Since: base-4.9.0.0 |
| Functor Last | Since: base-4.9.0.0 |
| Functor Option | Since: base-4.9.0.0 |
| Functor ZipList | Since: base-2.1 |
| Functor Identity | Since: base-4.8.0.0 |
| Functor Handler | Since: base-4.6.0.0 |
| Functor STM | Since: base-4.3.0.0 |
| Functor First | Since: base-4.8.0.0 |
| Functor Last | Since: base-4.8.0.0 |
| Functor Dual | Since: base-4.8.0.0 |
| Functor Sum | Since: base-4.8.0.0 |
| Functor Product | Since: base-4.8.0.0 |
| Functor Down | Since: base-4.11.0.0 |
| Functor ReadP | Since: base-2.1 |
| Functor NonEmpty | Since: base-4.9.0.0 |
| Functor IntMap | |
| Functor Tree | |
| Functor Seq | |
| Functor FingerTree | |
Defined in Data.Sequence.Internal Methods fmap :: (a -> b) -> FingerTree a -> FingerTree b # (<$) :: a -> FingerTree b -> FingerTree a # | |
| Functor Digit | |
| Functor Node | |
| Functor Elem | |
| Functor ViewL | |
| Functor ViewR | |
| Functor Doc | |
| Functor AnnotDetails | |
Defined in Text.PrettyPrint.Annotated.HughesPJ Methods fmap :: (a -> b) -> AnnotDetails a -> AnnotDetails b # (<$) :: a -> AnnotDetails b -> AnnotDetails a # | |
| Functor Span | |
| Functor Vector | |
| Functor Id | |
Defined in Data.Vector.Fusion.Util | |
| Functor Box | |
Defined in Data.Vector.Fusion.Util | |
| Functor P | Since: base-4.8.0.0 |
Defined in Text.ParserCombinators.ReadP | |
| Functor CryptoFailable | |
Defined in Crypto.Error.Types | |
| Functor Identifier | |
Defined in Text.Casing | |
| Functor Array | |
Defined in Data.Primitive.Array | |
| Functor SmallArray | |
Defined in Data.Primitive.SmallArray | |
| Functor (Either a) | Since: base-3.0 |
| Functor (V1 :: Type -> Type) | Since: base-4.9.0.0 |
| Functor (U1 :: Type -> Type) | Since: base-4.9.0.0 |
| Functor ((,) a) | Since: base-2.1 |
| Functor (Array i) | Since: base-2.1 |
| Functor (Arg a) | Since: base-4.9.0.0 |
| Monad m => Functor (WrappedMonad m) | Since: base-2.1 |
Defined in Control.Applicative Methods fmap :: (a -> b) -> WrappedMonad m a -> WrappedMonad m b # (<$) :: a -> WrappedMonad m b -> WrappedMonad m a # | |
| Arrow a => Functor (ArrowMonad a) | Since: base-4.6.0.0 |
Defined in Control.Arrow Methods fmap :: (a0 -> b) -> ArrowMonad a a0 -> ArrowMonad a b # (<$) :: a0 -> ArrowMonad a b -> ArrowMonad a a0 # | |
| Functor (Proxy :: Type -> Type) | Since: base-4.7.0.0 |
| Functor (Map k) | |
| Functor m => Functor (MaybeT m) | |
| Functor (HashMap k) | |
| DRG gen => Functor (MonadPseudoRandom gen) | |
Defined in Crypto.Random.Types | |
| Monad m => Functor (Handler m) | |
Defined in Control.Monad.Catch | |
| Functor f => Functor (Rec1 f) | Since: base-4.9.0.0 |
| Functor (URec Char :: Type -> Type) | Since: base-4.9.0.0 |
| Functor (URec Double :: Type -> Type) | Since: base-4.9.0.0 |
| Functor (URec Float :: Type -> Type) | Since: base-4.9.0.0 |
| Functor (URec Int :: Type -> Type) | Since: base-4.9.0.0 |
| Functor (URec Word :: Type -> Type) | Since: base-4.9.0.0 |
| Functor (URec (Ptr ()) :: Type -> Type) | Since: base-4.9.0.0 |
| Arrow a => Functor (WrappedArrow a b) | Since: base-2.1 |
Defined in Control.Applicative Methods fmap :: (a0 -> b0) -> WrappedArrow a b a0 -> WrappedArrow a b b0 # (<$) :: a0 -> WrappedArrow a b b0 -> WrappedArrow a b a0 # | |
| Functor (Const m :: Type -> Type) | Since: base-2.1 |
| Functor f => Functor (Ap f) | Since: base-4.12.0.0 |
| Functor f => Functor (Alt f) | Since: base-4.8.0.0 |
| (Applicative f, Monad f) => Functor (WhenMissing f x) | Since: containers-0.5.9 |
Defined in Data.IntMap.Internal Methods fmap :: (a -> b) -> WhenMissing f x a -> WhenMissing f x b # (<$) :: a -> WhenMissing f x b -> WhenMissing f x a # | |
| Functor m => Functor (IdentityT m) | |
| Functor m => Functor (ErrorT e m) | |
| Functor m => Functor (ExceptT e m) | |
| Functor m => Functor (ReaderT r m) | |
| Functor m => Functor (StateT s m) | |
| Monad m => Functor (Bundle m v) | |
Defined in Data.Vector.Fusion.Bundle.Monadic | |
| Functor (Effect m r) | |
Defined in Lens.Micro.Mtl.Internal | |
| Monad m => Functor (Focusing m s) | |
Defined in Lens.Micro.Mtl.Internal | |
| Functor (k (May s)) => Functor (FocusingMay k s) | |
Defined in Lens.Micro.Mtl.Internal | |
| Functor (Bazaar a b) | |
Defined in Lens.Micro | |
| Functor m => Functor (StateT s m) | |
Defined in Lens.Micro | |
| Functor ((->) r :: Type -> Type) | Since: base-2.1 |
| Functor (K1 i c :: Type -> Type) | Since: base-4.9.0.0 |
| (Functor f, Functor g) => Functor (f :+: g) | Since: base-4.9.0.0 |
| (Functor f, Functor g) => Functor (f :*: g) | Since: base-4.9.0.0 |
| Functor f => Functor (WhenMatched f x y) | Since: containers-0.5.9 |
Defined in Data.IntMap.Internal Methods fmap :: (a -> b) -> WhenMatched f x y a -> WhenMatched f x y b # (<$) :: a -> WhenMatched f x y b -> WhenMatched f x y a # | |
| (Applicative f, Monad f) => Functor (WhenMissing f k x) | Since: containers-0.5.9 |
Defined in Data.Map.Internal Methods fmap :: (a -> b) -> WhenMissing f k x a -> WhenMissing f k x b # (<$) :: a -> WhenMissing f k x b -> WhenMissing f k x a # | |
| Functor (k (Err e s)) => Functor (FocusingErr e k s) | |
Defined in Lens.Micro.Mtl.Internal | |
| Functor (k (f s)) => Functor (FocusingOn f k s) | |
Defined in Lens.Micro.Mtl.Internal | |
| Functor (k (s, w)) => Functor (FocusingPlus w k s) | |
Defined in Lens.Micro.Mtl.Internal | |
| Monad m => Functor (FocusingWith w m s) | |
Defined in Lens.Micro.Mtl.Internal | |
| Functor f => Functor (M1 i c f) | Since: base-4.9.0.0 |
| (Functor f, Functor g) => Functor (f :.: g) | Since: base-4.9.0.0 |
| (Functor f, Functor g) => Functor (Compose f g) | Since: base-4.9.0.0 |
| Functor f => Functor (WhenMatched f k x y) | Since: containers-0.5.9 |
Defined in Data.Map.Internal Methods fmap :: (a -> b) -> WhenMatched f k x y a -> WhenMatched f k x y b # (<$) :: a -> WhenMatched f k x y b -> WhenMatched f k x y a # | |
| Functor (EffectRWS w st m s) | |
Defined in Lens.Micro.Mtl.Internal | |
| Monad state => Functor (Builder collection mutCollection step state err) | |
Defined in Basement.MutableBuilder | |
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 + xfromInteger 0is the additive identityx + fromInteger 0=xnegategives the additive inversex + negate x=fromInteger 0- Associativity of (*)
(x * y) * z=x * (y * z)fromInteger 1is the multiplicative identityx * 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)
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 Int | Since: base-2.1 |
| Num Int8 | Since: base-2.1 |
| Num Int16 | Since: base-2.1 |
| Num Int32 | Since: base-2.1 |
| Num Int64 | Since: base-2.1 |
| Num Integer | Since: base-2.1 |
| Num Natural | Note that Since: base-4.8.0.0 |
| Num Word | Since: base-2.1 |
| Num Word8 | Since: base-2.1 |
| Num Word16 | Since: base-2.1 |
| Num Word32 | Since: base-2.1 |
| Num Word64 | Since: base-2.1 |
| Num CodePoint | |
Defined in Data.Text.Encoding | |
| Num DecoderState | |
Defined in Data.Text.Encoding Methods (+) :: DecoderState -> DecoderState -> DecoderState # (-) :: DecoderState -> DecoderState -> DecoderState # (*) :: DecoderState -> DecoderState -> DecoderState # negate :: DecoderState -> DecoderState # abs :: DecoderState -> DecoderState # signum :: DecoderState -> DecoderState # fromInteger :: Integer -> DecoderState # | |
| Integral a => Num (Ratio a) | Since: base-2.0.1 |
| Num a => Num (Min a) | Since: base-4.9.0.0 |
| Num a => Num (Max a) | Since: base-4.9.0.0 |
| Num a => Num (Identity a) | Since: base-4.9.0.0 |
Defined in Data.Functor.Identity | |
| Num a => Num (Sum a) | Since: base-4.7.0.0 |
| Num a => Num (Product a) | Since: base-4.7.0.0 |
Defined in Data.Semigroup.Internal | |
| Num a => Num (Down a) | Since: base-4.11.0.0 |
| Num (Offset ty) | |
Defined in Basement.Types.OffsetSize | |
| Num (CountOf ty) | |
Defined in Basement.Types.OffsetSize | |
| KnownNat n => Num (Zn n) | |
| (KnownNat n, NatWithinBound Word64 n) => Num (Zn64 n) | |
| 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) | Since: base-4.12.0.0 |
| Num (f a) => Num (Alt f a) | Since: base-4.8.0.0 |
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.
The Haskell Report defines no laws for Ord. However, <= is customarily
expected to implement a non-strict partial order and have the following
properties:
- Transitivity
- if
x <= y && y <= z=True, thenx <= z=True - Reflexivity
x <= x=True- Antisymmetry
- if
x <= y && y <= x=True, thenx == y=True
Note that 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
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
| Ord Bool | |
| Ord Char | |
| Ord Double | Note that due to the presence of
Also note that, due to the same,
|
| Ord Float | Note that due to the presence of
Also note that, due to the same,
|
| Ord Int | |
| Ord Int8 | Since: base-2.1 |
| Ord Int16 | Since: base-2.1 |
| Ord Int32 | Since: base-2.1 |
| Ord Int64 | Since: base-2.1 |
| Ord Integer | |
| Ord Natural | Since: base-4.8.0.0 |
| Ord Ordering | |
Defined in GHC.Classes | |
| Ord Word | |
| Ord Word8 | Since: base-2.1 |
| Ord Word16 | Since: base-2.1 |
| Ord Word32 | Since: base-2.1 |
| Ord Word64 | Since: base-2.1 |
| Ord SomeTypeRep | |
Defined in Data.Typeable.Internal Methods compare :: SomeTypeRep -> SomeTypeRep -> Ordering # (<) :: SomeTypeRep -> SomeTypeRep -> Bool # (<=) :: SomeTypeRep -> SomeTypeRep -> Bool # (>) :: SomeTypeRep -> SomeTypeRep -> Bool # (>=) :: SomeTypeRep -> SomeTypeRep -> Bool # max :: SomeTypeRep -> SomeTypeRep -> SomeTypeRep # min :: SomeTypeRep -> SomeTypeRep -> SomeTypeRep # | |
| Ord Exp | |
| Ord Match | |
| Ord Clause | |
| Ord Pat | |
| Ord Type | |
| Ord Dec | |
| Ord Name | |
| Ord FunDep | |
| Ord InjectivityAnn | |
Defined in Language.Haskell.TH.Syntax Methods compare :: InjectivityAnn -> InjectivityAnn -> Ordering # (<) :: InjectivityAnn -> InjectivityAnn -> Bool # (<=) :: InjectivityAnn -> InjectivityAnn -> Bool # (>) :: InjectivityAnn -> InjectivityAnn -> Bool # (>=) :: InjectivityAnn -> InjectivityAnn -> Bool # max :: InjectivityAnn -> InjectivityAnn -> InjectivityAnn # min :: InjectivityAnn -> InjectivityAnn -> InjectivityAnn # | |
| Ord Overlap | |
Defined in Language.Haskell.TH.Syntax | |
| Ord () | |
| Ord TyCon | |
| Ord BigNat | |
| Ord Void | Since: base-4.8.0.0 |
| Ord Version | Since: base-2.1 |
| Ord ThreadId | Since: base-4.2.0.0 |
Defined in GHC.Conc.Sync | |
| Ord BlockReason | Since: base-4.3.0.0 |
Defined in GHC.Conc.Sync Methods compare :: BlockReason -> BlockReason -> Ordering # (<) :: BlockReason -> BlockReason -> Bool # (<=) :: BlockReason -> BlockReason -> Bool # (>) :: BlockReason -> BlockReason -> Bool # (>=) :: BlockReason -> BlockReason -> Bool # max :: BlockReason -> BlockReason -> BlockReason # min :: BlockReason -> BlockReason -> BlockReason # | |
| Ord ThreadStatus | Since: base-4.3.0.0 |
Defined in GHC.Conc.Sync Methods compare :: ThreadStatus -> ThreadStatus -> Ordering # (<) :: ThreadStatus -> ThreadStatus -> Bool # (<=) :: ThreadStatus -> ThreadStatus -> Bool # (>) :: ThreadStatus -> ThreadStatus -> Bool # (>=) :: ThreadStatus -> ThreadStatus -> Bool # max :: ThreadStatus -> ThreadStatus -> ThreadStatus # min :: ThreadStatus -> ThreadStatus -> ThreadStatus # | |
| Ord AsyncException | Since: base-4.2.0.0 |
Defined in GHC.IO.Exception Methods compare :: AsyncException -> AsyncException -> Ordering # (<) :: AsyncException -> AsyncException -> Bool # (<=) :: AsyncException -> AsyncException -> Bool # (>) :: AsyncException -> AsyncException -> Bool # (>=) :: AsyncException -> AsyncException -> Bool # max :: AsyncException -> AsyncException -> AsyncException # min :: AsyncException -> AsyncException -> AsyncException # | |
| Ord ArrayException | Since: base-4.2.0.0 |
Defined in GHC.IO.Exception Methods compare :: ArrayException -> ArrayException -> Ordering # (<) :: ArrayException -> ArrayException -> Bool # (<=) :: ArrayException -> ArrayException -> Bool # (>) :: ArrayException -> ArrayException -> Bool # (>=) :: ArrayException -> ArrayException -> Bool # max :: ArrayException -> ArrayException -> ArrayException # min :: ArrayException -> ArrayException -> ArrayException # | |
| Ord ExitCode | |
Defined in GHC.IO.Exception | |
| Ord BufferMode | Since: base-4.2.0.0 |
Defined in GHC.IO.Handle.Types Methods compare :: BufferMode -> BufferMode -> Ordering # (<) :: BufferMode -> BufferMode -> Bool # (<=) :: BufferMode -> BufferMode -> Bool # (>) :: BufferMode -> BufferMode -> Bool # (>=) :: BufferMode -> BufferMode -> Bool # max :: BufferMode -> BufferMode -> BufferMode # min :: BufferMode -> BufferMode -> BufferMode # | |
| Ord Newline | Since: base-4.3.0.0 |
| Ord NewlineMode | Since: base-4.3.0.0 |
Defined in GHC.IO.Handle.Types Methods compare :: NewlineMode -> NewlineMode -> Ordering # (<) :: NewlineMode -> NewlineMode -> Bool # (<=) :: NewlineMode -> NewlineMode -> Bool # (>) :: NewlineMode -> NewlineMode -> Bool # (>=) :: NewlineMode -> NewlineMode -> Bool # max :: NewlineMode -> NewlineMode -> NewlineMode # min :: NewlineMode -> NewlineMode -> NewlineMode # | |
| Ord ErrorCall | Since: base-4.7.0.0 |
| Ord ArithException | Since: base-3.0 |
Defined in GHC.Exception.Type Methods compare :: ArithException -> ArithException -> Ordering # (<) :: ArithException -> ArithException -> Bool # (<=) :: ArithException -> ArithException -> Bool # (>) :: ArithException -> ArithException -> Bool # (>=) :: ArithException -> ArithException -> Bool # max :: ArithException -> ArithException -> ArithException # min :: ArithException -> ArithException -> ArithException # | |
| Ord All | Since: base-2.1 |
| Ord Any | Since: base-2.1 |
| Ord Fixity | Since: base-4.6.0.0 |
| Ord Associativity | Since: base-4.6.0.0 |
Defined in GHC.Generics Methods compare :: Associativity -> Associativity -> Ordering # (<) :: Associativity -> Associativity -> Bool # (<=) :: Associativity -> Associativity -> Bool # (>) :: Associativity -> Associativity -> Bool # (>=) :: Associativity -> Associativity -> Bool # max :: Associativity -> Associativity -> Associativity # min :: Associativity -> Associativity -> Associativity # | |
| Ord SourceUnpackedness | Since: base-4.9.0.0 |
Defined in GHC.Generics Methods compare :: SourceUnpackedness -> SourceUnpackedness -> Ordering # (<) :: SourceUnpackedness -> SourceUnpackedness -> Bool # (<=) :: SourceUnpackedness -> SourceUnpackedness -> Bool # (>) :: SourceUnpackedness -> SourceUnpackedness -> Bool # (>=) :: SourceUnpackedness -> SourceUnpackedness -> Bool # max :: SourceUnpackedness -> SourceUnpackedness -> SourceUnpackedness # min :: SourceUnpackedness -> SourceUnpackedness -> SourceUnpackedness # | |
| Ord SourceStrictness | Since: base-4.9.0.0 |
Defined in GHC.Generics Methods compare :: SourceStrictness -> SourceStrictness -> Ordering # (<) :: SourceStrictness -> SourceStrictness -> Bool # (<=) :: SourceStrictness -> SourceStrictness -> Bool # (>) :: SourceStrictness -> SourceStrictness -> Bool # (>=) :: SourceStrictness -> SourceStrictness -> Bool # max :: SourceStrictness -> SourceStrictness -> SourceStrictness # min :: SourceStrictness -> SourceStrictness -> SourceStrictness # | |
| Ord DecidedStrictness | Since: base-4.9.0.0 |
Defined in GHC.Generics Methods compare :: DecidedStrictness -> DecidedStrictness -> Ordering # (<) :: DecidedStrictness -> DecidedStrictness -> Bool # (<=) :: DecidedStrictness -> DecidedStrictness -> Bool # (>) :: DecidedStrictness -> DecidedStrictness -> Bool # (>=) :: DecidedStrictness -> DecidedStrictness -> Bool # max :: DecidedStrictness -> DecidedStrictness -> DecidedStrictness # min :: DecidedStrictness -> DecidedStrictness -> DecidedStrictness # | |
| Ord SomeNat | Since: base-4.7.0.0 |
| Ord IOMode | Since: base-4.2.0.0 |
| Ord ByteString | |
Defined in Data.ByteString.Lazy.Internal Methods compare :: ByteString -> ByteString -> Ordering # (<) :: ByteString -> ByteString -> Bool # (<=) :: ByteString -> ByteString -> Bool # (>) :: ByteString -> ByteString -> Bool # (>=) :: ByteString -> ByteString -> Bool # max :: ByteString -> ByteString -> ByteString # min :: ByteString -> ByteString -> ByteString # | |
| Ord ByteString | |
Defined in Data.ByteString.Internal Methods compare :: ByteString -> ByteString -> Ordering # (<) :: ByteString -> ByteString -> Bool # (<=) :: ByteString -> ByteString -> Bool # (>) :: ByteString -> ByteString -> Bool # (>=) :: ByteString -> ByteString -> Bool # max :: ByteString -> ByteString -> ByteString # min :: ByteString -> ByteString -> ByteString # | |
| Ord IntSet | |
| Ord ModName | |
Defined in Language.Haskell.TH.Syntax | |
| Ord PkgName | |
Defined in Language.Haskell.TH.Syntax | |
| Ord Module | |
| Ord OccName | |
Defined in Language.Haskell.TH.Syntax | |
| Ord NameFlavour | |
Defined in Language.Haskell.TH.Syntax Methods compare :: NameFlavour -> NameFlavour -> Ordering # (<) :: NameFlavour -> NameFlavour -> Bool # (<=) :: NameFlavour -> NameFlavour -> Bool # (>) :: NameFlavour -> NameFlavour -> Bool # (>=) :: NameFlavour -> NameFlavour -> Bool # max :: NameFlavour -> NameFlavour -> NameFlavour # min :: NameFlavour -> NameFlavour -> NameFlavour # | |
| Ord NameSpace | |
| Ord Loc | |
| Ord Info | |
| Ord ModuleInfo | |
Defined in Language.Haskell.TH.Syntax Methods compare :: ModuleInfo -> ModuleInfo -> Ordering # (<) :: ModuleInfo -> ModuleInfo -> Bool # (<=) :: ModuleInfo -> ModuleInfo -> Bool # (>) :: ModuleInfo -> ModuleInfo -> Bool # (>=) :: ModuleInfo -> ModuleInfo -> Bool # max :: ModuleInfo -> ModuleInfo -> ModuleInfo # min :: ModuleInfo -> ModuleInfo -> ModuleInfo # | |
| Ord Fixity | |
| Ord FixityDirection | |
Defined in Language.Haskell.TH.Syntax Methods compare :: FixityDirection -> FixityDirection -> Ordering # (<) :: FixityDirection -> FixityDirection -> Bool # (<=) :: FixityDirection -> FixityDirection -> Bool # (>) :: FixityDirection -> FixityDirection -> Bool # (>=) :: FixityDirection -> FixityDirection -> Bool # max :: FixityDirection -> FixityDirection -> FixityDirection # min :: FixityDirection -> FixityDirection -> FixityDirection # | |
| Ord Lit | |
| Ord Body | |
| Ord Guard | |
| Ord Stmt | |
| Ord Range | |
| Ord DerivClause | |
Defined in Language.Haskell.TH.Syntax Methods compare :: DerivClause -> DerivClause -> Ordering # (<) :: DerivClause -> DerivClause -> Bool # (<=) :: DerivClause -> DerivClause -> Bool # (>) :: DerivClause -> DerivClause -> Bool # (>=) :: DerivClause -> DerivClause -> Bool # max :: DerivClause -> DerivClause -> DerivClause # min :: DerivClause -> DerivClause -> DerivClause # | |
| Ord DerivStrategy | |
Defined in Language.Haskell.TH.Syntax Methods compare :: DerivStrategy -> DerivStrategy -> Ordering # (<) :: DerivStrategy -> DerivStrategy -> Bool # (<=) :: DerivStrategy -> DerivStrategy -> Bool # (>) :: DerivStrategy -> DerivStrategy -> Bool # (>=) :: DerivStrategy -> DerivStrategy -> Bool # max :: DerivStrategy -> DerivStrategy -> DerivStrategy # min :: DerivStrategy -> DerivStrategy -> DerivStrategy # | |
| Ord TypeFamilyHead | |
Defined in Language.Haskell.TH.Syntax Methods compare :: TypeFamilyHead -> TypeFamilyHead -> Ordering # (<) :: TypeFamilyHead -> TypeFamilyHead -> Bool # (<=) :: TypeFamilyHead -> TypeFamilyHead -> Bool # (>) :: TypeFamilyHead -> TypeFamilyHead -> Bool # (>=) :: TypeFamilyHead -> TypeFamilyHead -> Bool # max :: TypeFamilyHead -> TypeFamilyHead -> TypeFamilyHead # min :: TypeFamilyHead -> TypeFamilyHead -> TypeFamilyHead # | |
| Ord TySynEqn | |
Defined in Language.Haskell.TH.Syntax | |
| Ord Foreign | |
Defined in Language.Haskell.TH.Syntax | |
| Ord Callconv | |
Defined in Language.Haskell.TH.Syntax | |
| Ord Safety | |
| Ord Pragma | |
| Ord Inline | |
| Ord RuleMatch | |
| Ord Phases | |
| Ord RuleBndr | |
Defined in Language.Haskell.TH.Syntax | |
| Ord AnnTarget | |
| Ord SourceUnpackedness | |
Defined in Language.Haskell.TH.Syntax Methods compare :: SourceUnpackedness -> SourceUnpackedness -> Ordering # (<) :: SourceUnpackedness -> SourceUnpackedness -> Bool # (<=) :: SourceUnpackedness -> SourceUnpackedness -> Bool # (>) :: SourceUnpackedness -> SourceUnpackedness -> Bool # (>=) :: SourceUnpackedness -> SourceUnpackedness -> Bool # max :: SourceUnpackedness -> SourceUnpackedness -> SourceUnpackedness # min :: SourceUnpackedness -> SourceUnpackedness -> SourceUnpackedness # | |
| Ord SourceStrictness | |
Defined in Language.Haskell.TH.Syntax Methods compare :: SourceStrictness -> SourceStrictness -> Ordering # (<) :: SourceStrictness -> SourceStrictness -> Bool # (<=) :: SourceStrictness -> SourceStrictness -> Bool # (>) :: SourceStrictness -> SourceStrictness -> Bool # (>=) :: SourceStrictness -> SourceStrictness -> Bool # max :: SourceStrictness -> SourceStrictness -> SourceStrictness # min :: SourceStrictness -> SourceStrictness -> SourceStrictness # | |
| Ord DecidedStrictness | |
Defined in Language.Haskell.TH.Syntax Methods compare :: DecidedStrictness -> DecidedStrictness -> Ordering # (<) :: DecidedStrictness -> DecidedStrictness -> Bool # (<=) :: DecidedStrictness -> DecidedStrictness -> Bool # (>) :: DecidedStrictness -> DecidedStrictness -> Bool # (>=) :: DecidedStrictness -> DecidedStrictness -> Bool # max :: DecidedStrictness -> DecidedStrictness -> DecidedStrictness # min :: DecidedStrictness -> DecidedStrictness -> DecidedStrictness # | |
| Ord Con | |
| Ord Bang | |
| Ord PatSynDir | |
| Ord PatSynArgs | |
Defined in Language.Haskell.TH.Syntax Methods compare :: PatSynArgs -> PatSynArgs -> Ordering # (<) :: PatSynArgs -> PatSynArgs -> Bool # (<=) :: PatSynArgs -> PatSynArgs -> Bool # (>) :: PatSynArgs -> PatSynArgs -> Bool # (>=) :: PatSynArgs -> PatSynArgs -> Bool # max :: PatSynArgs -> PatSynArgs -> PatSynArgs # min :: PatSynArgs -> PatSynArgs -> PatSynArgs # | |
| Ord TyVarBndr | |
| Ord FamilyResultSig | |
Defined in Language.Haskell.TH.Syntax Methods compare :: FamilyResultSig -> FamilyResultSig -> Ordering # (<) :: FamilyResultSig -> FamilyResultSig -> Bool # (<=) :: FamilyResultSig -> FamilyResultSig -> Bool # (>) :: FamilyResultSig -> FamilyResultSig -> Bool # (>=) :: FamilyResultSig -> FamilyResultSig -> Bool # max :: FamilyResultSig -> FamilyResultSig -> FamilyResultSig # min :: FamilyResultSig -> FamilyResultSig -> FamilyResultSig # | |
| Ord TyLit | |
| Ord Role | |
| Ord AnnLookup | |
| Ord Undefined | |
| Ord ByteArray | |
| Ord Encoding | |
Defined in Basement.String | |
| Ord String | |
| Ord UTF32_Invalid | |
Defined in Basement.String.Encoding.UTF32 Methods compare :: UTF32_Invalid -> UTF32_Invalid -> Ordering # (<) :: UTF32_Invalid -> UTF32_Invalid -> Bool # (<=) :: UTF32_Invalid -> UTF32_Invalid -> Bool # (>) :: UTF32_Invalid -> UTF32_Invalid -> Bool # (>=) :: UTF32_Invalid -> UTF32_Invalid -> Bool # | |
| Ord FileSize | |
Defined in Basement.Types.OffsetSize | |
| Ord ASN1TimeType | |
Defined in Data.ASN1.Types | |
| Ord ECPointFormat Source # | |
Defined in Data.Signable.Class Methods compare :: ECPointFormat -> ECPointFormat -> Ordering # (<) :: ECPointFormat -> ECPointFormat -> Bool # (<=) :: ECPointFormat -> ECPointFormat -> Bool # (>) :: ECPointFormat -> ECPointFormat -> Bool # (>=) :: ECPointFormat -> ECPointFormat -> Bool # max :: ECPointFormat -> ECPointFormat -> ECPointFormat # min :: ECPointFormat -> ECPointFormat -> ECPointFormat # | |
| Ord SignableError Source # | |
Defined in Data.Signable.Class Methods compare :: SignableError -> SignableError -> Ordering # (<) :: SignableError -> SignableError -> Bool # (<=) :: SignableError -> SignableError -> Bool # (>) :: SignableError -> SignableError -> Bool # (>=) :: SignableError -> SignableError -> Bool # max :: SignableError -> SignableError -> SignableError # min :: SignableError -> SignableError -> SignableError # | |
| Ord Alg Source # | |
| Ord a => Ord [a] | |
| Ord a => Ord (Maybe a) | Since: base-2.1 |
| Integral a => Ord (Ratio a) | Since: base-2.0.1 |
| Ord (Ptr a) | Since: base-2.1 |
| Ord (FunPtr a) | |
Defined in GHC.Ptr | |
| Ord p => Ord (Par1 p) | Since: base-4.7.0.0 |
| Ord a => Ord (Min a) | Since: base-4.9.0.0 |
| Ord a => Ord (Max a) | Since: base-4.9.0.0 |
| Ord a => Ord (First a) | Since: base-4.9.0.0 |
| Ord a => Ord (Last a) | Since: base-4.9.0.0 |
| Ord m => Ord (WrappedMonoid m) | Since: base-4.9.0.0 |
Defined in Data.Semigroup Methods compare :: WrappedMonoid m -> WrappedMonoid m -> Ordering # (<) :: WrappedMonoid m -> WrappedMonoid m -> Bool # (<=) :: WrappedMonoid m -> WrappedMonoid m -> Bool # (>) :: WrappedMonoid m -> WrappedMonoid m -> Bool # (>=) :: WrappedMonoid m -> WrappedMonoid m -> Bool # max :: WrappedMonoid m -> WrappedMonoid m -> WrappedMonoid m # min :: WrappedMonoid m -> WrappedMonoid m -> WrappedMonoid m # | |
| Ord a => Ord (Option a) | Since: base-4.9.0.0 |
Defined in Data.Semigroup | |
| Ord a => Ord (ZipList a) | Since: base-4.7.0.0 |
| Ord a => Ord (Identity a) | Since: base-4.8.0.0 |
Defined in Data.Functor.Identity | |
| Ord a => Ord (First a) | Since: base-2.1 |
| Ord a => Ord (Last a) | Since: base-2.1 |
| Ord a => Ord (Dual a) | Since: base-2.1 |
| Ord a => Ord (Sum a) | Since: base-2.1 |
| Ord a => Ord (Product a) | Since: base-2.1 |
| Ord a => Ord (Down a) | Since: base-4.6.0.0 |
| Ord a => Ord (NonEmpty a) | Since: base-4.9.0.0 |
| Ord a => Ord (IntMap a) | |
Defined in Data.IntMap.Internal | |
| Ord a => Ord (Seq a) | |
| Ord a => Ord (ViewL a) | |
Defined in Data.Sequence.Internal | |
| Ord a => Ord (ViewR a) | |
Defined in Data.Sequence.Internal | |
| Ord a => Ord (Set a) | |
| Ord a => Ord (HashSet a) | |
| Ord a => Ord (Vector a) | |
Defined in Data.Vector | |
| (Prim a, Ord a) => Ord (Vector a) | |
Defined in Data.Vector.Primitive | |
| Ord (Digest a) | |
Defined in Crypto.Hash.Types | |
| (PrimType ty, Ord ty) => Ord (Block ty) | |
Defined in Basement.Block.Base | |
| (PrimType ty, Ord ty) => Ord (UArray ty) | |
| Ord (Offset ty) | |
| Ord (CountOf ty) | |
Defined in Basement.Types.OffsetSize | |
| Ord (Zn n) | |
| Ord (Zn64 n) | |
| Ord a => Ord (Hashed a) | |
Defined in Data.Hashable.Class | |
| Ord a => Ord (Array a) | |
Defined in Data.Primitive.Array | |
| (Ord a, Prim a) => Ord (PrimArray a) | |
Defined in Data.Primitive.PrimArray | |
| Ord a => Ord (SmallArray a) | |
Defined in Data.Primitive.SmallArray | |
| (Storable a, Ord a) => Ord (Vector a) | |
Defined in Data.Vector.Storable | |
| Ord g => Ord (StateGen g) | |
Defined in System.Random.Internal | |
| (Ord a, Ord b) => Ord (Either a b) | Since: base-2.1 |
| Ord (V1 p) | Since: base-4.9.0.0 |
| Ord (U1 p) | Since: base-4.7.0.0 |
| Ord (TypeRep a) | Since: base-4.4.0.0 |
| (Ord a, Ord b) => Ord (a, b) | |
| (Ix i, Ord e) => Ord (Array i e) | Since: base-2.1 |
| Ord a => Ord (Arg a b) | Since: base-4.9.0.0 |
| Ord (Proxy s) | Since: base-4.7.0.0 |
| (Ord k, Ord v) => Ord (Map k v) | |
| (Ord1 m, Ord a) => Ord (MaybeT m a) | |
Defined in Control.Monad.Trans.Maybe | |
| (Ord k, Ord v) => Ord (HashMap k v) | |
Defined in Data.HashMap.Internal | |
| Ord (f p) => Ord (Rec1 f p) | Since: base-4.7.0.0 |
Defined in GHC.Generics | |
| Ord (URec (Ptr ()) p) | Since: base-4.9.0.0 |
Defined in GHC.Generics Methods compare :: URec (Ptr ()) p -> URec (Ptr ()) p -> Ordering # (<) :: URec (Ptr ()) p -> URec (Ptr ()) p -> Bool # (<=) :: URec (Ptr ()) p -> URec (Ptr ()) p -> Bool # (>) :: URec (Ptr ()) p -> URec (Ptr ()) p -> Bool # (>=) :: URec (Ptr ()) p -> URec (Ptr ()) p -> Bool # max :: URec (Ptr ()) p -> URec (Ptr ()) p -> URec (Ptr ()) p # min :: URec (Ptr ()) p -> URec (Ptr ()) p -> URec (Ptr ()) p # | |
| Ord (URec Char p) | Since: base-4.9.0.0 |
Defined in GHC.Generics | |
| 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 # | |
| Ord (URec Float p) | |
Defined in GHC.Generics | |
| Ord (URec Int p) | Since: base-4.9.0.0 |
| Ord (URec Word p) | Since: base-4.9.0.0 |
Defined in GHC.Generics | |
| (Ord a, Ord b, Ord c) => Ord (a, b, c) | |
| Ord a => Ord (Const a b) | Since: base-4.9.0.0 |
| Ord (f a) => Ord (Ap f a) | Since: base-4.12.0.0 |
| Ord (f a) => Ord (Alt f a) | Since: base-4.8.0.0 |
Defined in Data.Semigroup.Internal | |
| Ord (a :~: b) | Since: base-4.7.0.0 |
Defined in Data.Type.Equality | |
| (Ord1 f, Ord a) => Ord (IdentityT f a) | |
Defined in Control.Monad.Trans.Identity Methods compare :: IdentityT f a -> IdentityT f a -> Ordering # (<) :: IdentityT f a -> IdentityT f a -> Bool # (<=) :: IdentityT f a -> IdentityT f a -> Bool # (>) :: IdentityT f a -> IdentityT f a -> Bool # (>=) :: IdentityT f a -> IdentityT f a -> Bool # | |
| (Ord e, Ord1 m, Ord a) => Ord (ErrorT e m a) | |
Defined in Control.Monad.Trans.Error | |
| (Ord e, Ord1 m, Ord a) => Ord (ExceptT e m a) | |
Defined in Control.Monad.Trans.Except Methods compare :: ExceptT e m a -> ExceptT e m a -> Ordering # (<) :: ExceptT e m a -> ExceptT e m a -> Bool # (<=) :: ExceptT e m a -> ExceptT e m a -> Bool # (>) :: ExceptT e m a -> ExceptT e m a -> Bool # (>=) :: ExceptT e m a -> ExceptT e m a -> Bool # | |
| Ord c => Ord (K1 i c p) | Since: base-4.7.0.0 |
Defined in GHC.Generics | |
| (Ord (f p), Ord (g p)) => Ord ((f :+: g) p) | Since: base-4.7.0.0 |
Defined in GHC.Generics | |
| (Ord (f p), Ord (g p)) => Ord ((f :*: g) p) | Since: base-4.7.0.0 |
Defined in GHC.Generics | |
| (Ord a, Ord b, Ord c, Ord d) => Ord (a, b, c, d) | |
Defined in GHC.Classes | |
| Ord (a :~~: b) | Since: base-4.10.0.0 |
| Ord (f p) => Ord (M1 i c f p) | Since: base-4.7.0.0 |
| Ord (f (g p)) => Ord ((f :.: g) p) | Since: base-4.7.0.0 |
Defined in GHC.Generics | |
| (Ord a, Ord b, Ord c, Ord d, Ord e) => Ord (a, b, c, d, e) | |
Defined in GHC.Classes Methods compare :: (a, b, c, d, e) -> (a, b, c, d, e) -> Ordering # (<) :: (a, b, c, d, e) -> (a, b, c, d, e) -> Bool # (<=) :: (a, b, c, d, e) -> (a, b, c, d, e) -> Bool # (>) :: (a, b, c, d, e) -> (a, b, c, d, e) -> Bool # (>=) :: (a, b, c, d, e) -> (a, b, c, d, e) -> Bool # max :: (a, b, c, d, e) -> (a, b, c, d, e) -> (a, b, c, d, e) # min :: (a, b, c, d, e) -> (a, b, c, d, e) -> (a, b, c, d, e) # | |
| (Ord1 f, Ord1 g, Ord a) => Ord (Compose f g a) | Since: base-4.9.0.0 |
Defined in Data.Functor.Compose Methods compare :: Compose f g a -> Compose f g a -> Ordering # (<) :: Compose f g a -> Compose f g a -> Bool # (<=) :: Compose f g a -> Compose f g a -> Bool # (>) :: Compose f g a -> Compose f g a -> Bool # (>=) :: Compose f g a -> Compose f g a -> Bool # | |
| (Ord a, Ord b, Ord c, Ord d, Ord e, Ord f) => Ord (a, b, c, d, e, f) | |
Defined in GHC.Classes Methods compare :: (a, b, c, d, e, f) -> (a, b, c, d, e, f) -> Ordering # (<) :: (a, b, c, d, e, f) -> (a, b, c, d, e, f) -> Bool # (<=) :: (a, b, c, d, e, f) -> (a, b, c, d, e, f) -> Bool # (>) :: (a, b, c, d, e, f) -> (a, b, c, d, e, f) -> Bool # (>=) :: (a, b, c, d, e, f) -> (a, b, c, d, e, f) -> Bool # max :: (a, b, c, d, e, f) -> (a, b, c, d, e, f) -> (a, b, c, d, e, f) # min :: (a, b, c, d, e, f) -> (a, b, c, d, e, f) -> (a, b, c, d, e, f) # | |
| (Ord a, Ord b, Ord c, Ord d, Ord e, Ord f, Ord g) => Ord (a, b, c, d, e, f, g) | |
Defined in GHC.Classes Methods compare :: (a, b, c, d, e, f, g) -> (a, b, c, d, e, f, g) -> Ordering # (<) :: (a, b, c, d, e, f, g) -> (a, b, c, d, e, f, g) -> Bool # (<=) :: (a, b, c, d, e, f, g) -> (a, b, c, d, e, f, g) -> Bool # (>) :: (a, b, c, d, e, f, g) -> (a, b, c, d, e, f, g) -> Bool # (>=) :: (a, b, c, d, e, f, g) -> (a, b, c, d, e, f, g) -> Bool # max :: (a, b, c, d, e, f, g) -> (a, b, c, d, e, f, g) -> (a, b, c, d, e, f, g) # min :: (a, b, c, d, e, f, g) -> (a, b, c, d, e, f, g) -> (a, b, c, d, e, f, g) # | |
| (Ord a, Ord b, Ord c, Ord d, Ord e, Ord f, Ord g, Ord h) => Ord (a, b, c, d, e, f, g, h) | |
Defined in GHC.Classes Methods compare :: (a, b, c, d, e, f, g, h) -> (a, b, c, d, e, f, g, h) -> Ordering # (<) :: (a, b, c, d, e, f, g, h) -> (a, b, c, d, e, f, g, h) -> Bool # (<=) :: (a, b, c, d, e, f, g, h) -> (a, b, c, d, e, f, g, h) -> Bool # (>) :: (a, b, c, d, e, f, g, h) -> (a, b, c, d, e, f, g, h) -> Bool # (>=) :: (a, b, c, d, e, f, g, h) -> (a, b, c, d, e, f, g, h) -> Bool # max :: (a, b, c, d, e, f, g, h) -> (a, b, c, d, e, f, g, h) -> (a, b, c, d, e, f, g, h) # min :: (a, b, c, d, e, f, g, h) -> (a, b, c, d, e, f, g, h) -> (a, b, c, d, e, f, g, h) # | |
| (Ord a, Ord b, Ord c, Ord d, Ord e, Ord f, Ord g, Ord h, Ord i) => Ord (a, b, c, d, e, f, g, h, i) | |
Defined in GHC.Classes Methods compare :: (a, b, c, d, e, f, g, h, i) -> (a, b, c, d, e, f, g, h, i) -> Ordering # (<) :: (a, b, c, d, e, f, g, h, i) -> (a, b, c, d, e, f, g, h, i) -> Bool # (<=) :: (a, b, c, d, e, f, g, h, i) -> (a, b, c, d, e, f, g, h, i) -> Bool # (>) :: (a, b, c, d, e, f, g, h, i) -> (a, b, c, d, e, f, g, h, i) -> Bool # (>=) :: (a, b, c, d, e, f, g, h, i) -> (a, b, c, d, e, f, g, h, i) -> Bool # max :: (a, b, c, d, e, f, g, h, i) -> (a, b, c, d, e, f, g, h, i) -> (a, b, c, d, e, f, g, h, i) # min :: (a, b, c, d, e, f, g, h, i) -> (a, b, c, d, e, f, g, h, i) -> (a, b, c, d, e, f, g, h, i) # | |
| (Ord a, Ord b, Ord c, Ord d, Ord e, Ord f, Ord g, Ord h, Ord i, Ord j) => Ord (a, b, c, d, e, f, g, h, i, j) | |
Defined in GHC.Classes Methods compare :: (a, b, c, d, e, f, g, h, i, j) -> (a, b, c, d, e, f, g, h, i, j) -> Ordering # (<) :: (a, b, c, d, e, f, g, h, i, j) -> (a, b, c, d, e, f, g, h, i, j) -> Bool # (<=) :: (a, b, c, d, e, f, g, h, i, j) -> (a, b, c, d, e, f, g, h, i, j) -> Bool # (>) :: (a, b, c, d, e, f, g, h, i, j) -> (a, b, c, d, e, f, g, h, i, j) -> Bool # (>=) :: (a, b, c, d, e, f, g, h, i, j) -> (a, b, c, d, e, f, g, h, i, j) -> Bool # max :: (a, b, c, d, e, f, g, h, i, j) -> (a, b, c, d, e, f, g, h, i, j) -> (a, b, c, d, e, f, g, h, i, j) # min :: (a, b, c, d, e, f, g, h, i, j) -> (a, b, c, d, e, f, g, h, i, j) -> (a, b, c, d, e, f, g, h, i, j) # | |
| (Ord a, Ord b, Ord c, Ord d, Ord e, Ord f, Ord g, Ord h, Ord i, Ord j, Ord k) => Ord (a, b, c, d, e, f, g, h, i, j, k) | |
Defined in GHC.Classes Methods compare :: (a, b, c, d, e, f, g, h, i, j, k) -> (a, b, c, d, e, f, g, h, i, j, k) -> Ordering # (<) :: (a, b, c, d, e, f, g, h, i, j, k) -> (a, b, c, d, e, f, g, h, i, j, k) -> Bool # (<=) :: (a, b, c, d, e, f, g, h, i, j, k) -> (a, b, c, d, e, f, g, h, i, j, k) -> Bool # (>) :: (a, b, c, d, e, f, g, h, i, j, k) -> (a, b, c, d, e, f, g, h, i, j, k) -> Bool # (>=) :: (a, b, c, d, e, f, g, h, i, j, k) -> (a, b, c, d, e, f, g, h, i, j, k) -> Bool # max :: (a, b, c, d, e, f, g, h, i, j, k) -> (a, b, c, d, e, f, g, h, i, j, k) -> (a, b, c, d, e, f, g, h, i, j, k) # min :: (a, b, c, d, e, f, g, h, i, j, k) -> (a, b, c, d, e, f, g, h, i, j, k) -> (a, b, c, d, e, f, g, h, i, j, k) # | |
| (Ord a, Ord b, Ord c, Ord d, Ord e, Ord f, Ord g, Ord h, Ord i, Ord j, Ord k, Ord l) => Ord (a, b, c, d, e, f, g, h, i, j, k, l) | |
Defined in GHC.Classes Methods compare :: (a, b, c, d, e, f, g, h, i, j, k, l) -> (a, b, c, d, e, f, g, h, i, j, k, l) -> Ordering # (<) :: (a, b, c, d, e, f, g, h, i, j, k, l) -> (a, b, c, d, e, f, g, h, i, j, k, l) -> Bool # (<=) :: (a, b, c, d, e, f, g, h, i, j, k, l) -> (a, b, c, d, e, f, g, h, i, j, k, l) -> Bool # (>) :: (a, b, c, d, e, f, g, h, i, j, k, l) -> (a, b, c, d, e, f, g, h, i, j, k, l) -> Bool # (>=) :: (a, b, c, d, e, f, g, h, i, j, k, l) -> (a, b, c, d, e, f, g, h, i, j, k, l) -> Bool # max :: (a, b, c, d, e, f, g, h, i, j, k, l) -> (a, b, c, d, e, f, g, h, i, j, k, l) -> (a, b, c, d, e, f, g, h, i, j, k, l) # min :: (a, b, c, d, e, f, g, h, i, j, k, l) -> (a, b, c, d, e, f, g, h, i, j, k, l) -> (a, b, c, d, e, f, g, h, i, j, k, l) # | |
| (Ord a, Ord b, Ord c, Ord d, Ord e, Ord f, Ord g, Ord h, Ord i, Ord j, Ord k, Ord l, Ord m) => Ord (a, b, c, d, e, f, g, h, i, j, k, l, m) | |
Defined in GHC.Classes Methods compare :: (a, b, c, d, e, f, g, h, i, j, k, l, m) -> (a, b, c, d, e, f, g, h, i, j, k, l, m) -> Ordering # (<) :: (a, b, c, d, e, f, g, h, i, j, k, l, m) -> (a, b, c, d, e, f, g, h, i, j, k, l, m) -> Bool # (<=) :: (a, b, c, d, e, f, g, h, i, j, k, l, m) -> (a, b, c, d, e, f, g, h, i, j, k, l, m) -> Bool # (>) :: (a, b, c, d, e, f, g, h, i, j, k, l, m) -> (a, b, c, d, e, f, g, h, i, j, k, l, m) -> Bool # (>=) :: (a, b, c, d, e, f, g, h, i, j, k, l, m) -> (a, b, c, d, e, f, g, h, i, j, k, l, m) -> Bool # max :: (a, b, c, d, e, f, g, h, i, j, k, l, m) -> (a, b, c, d, e, f, g, h, i, j, k, l, m) -> (a, b, c, d, e, f, g, h, i, j, k, l, m) # min :: (a, b, c, d, e, f, g, h, i, j, k, l, m) -> (a, b, c, d, e, f, g, h, i, j, k, l, m) -> (a, b, c, d, e, f, g, h, i, j, k, l, m) # | |
| (Ord a, Ord b, Ord c, Ord d, Ord e, Ord f, Ord g, Ord h, Ord i, Ord j, Ord k, Ord l, Ord m, Ord n) => Ord (a, b, c, d, e, f, g, h, i, j, k, l, m, n) | |
Defined in GHC.Classes Methods compare :: (a, b, c, d, e, f, g, h, i, j, k, l, m, n) -> (a, b, c, d, e, f, g, h, i, j, k, l, m, n) -> Ordering # (<) :: (a, b, c, d, e, f, g, h, i, j, k, l, m, n) -> (a, b, c, d, e, f, g, h, i, j, k, l, m, n) -> Bool # (<=) :: (a, b, c, d, e, f, g, h, i, j, k, l, m, n) -> (a, b, c, d, e, f, g, h, i, j, k, l, m, n) -> Bool # (>) :: (a, b, c, d, e, f, g, h, i, j, k, l, m, n) -> (a, b, c, d, e, f, g, h, i, j, k, l, m, n) -> Bool # (>=) :: (a, b, c, d, e, f, g, h, i, j, k, l, m, n) -> (a, b, c, d, e, f, g, h, i, j, k, l, m, n) -> Bool # max :: (a, b, c, d, e, f, g, h, i, j, k, l, m, n) -> (a, b, c, d, e, f, g, h, i, j, k, l, m, n) -> (a, b, c, d, e, f, g, h, i, j, k, l, m, n) # min :: (a, b, c, d, e, f, g, h, i, j, k, l, m, n) -> (a, b, c, d, e, f, g, h, i, j, k, l, m, n) -> (a, b, c, d, e, f, g, h, i, j, k, l, m, n) # | |
| (Ord a, Ord b, Ord c, Ord d, Ord e, Ord f, Ord g, Ord h, Ord i, Ord j, Ord k, Ord l, Ord m, Ord n, Ord o) => Ord (a, b, c, d, e, f, g, h, i, j, k, l, m, n, o) | |
Defined in GHC.Classes Methods compare :: (a, b, c, d, e, f, g, h, i, j, k, l, m, n, o) -> (a, b, c, d, e, f, g, h, i, j, k, l, m, n, o) -> Ordering # (<) :: (a, b, c, d, e, f, g, h, i, j, k, l, m, n, o) -> (a, b, c, d, e, f, g, h, i, j, k, l, m, n, o) -> Bool # (<=) :: (a, b, c, d, e, f, g, h, i, j, k, l, m, n, o) -> (a, b, c, d, e, f, g, h, i, j, k, l, m, n, o) -> Bool # (>) :: (a, b, c, d, e, f, g, h, i, j, k, l, m, n, o) -> (a, b, c, d, e, f, g, h, i, j, k, l, m, n, o) -> Bool # (>=) :: (a, b, c, d, e, f, g, h, i, j, k, l, m, n, o) -> (a, b, c, d, e, f, g, h, i, j, k, l, m, n, o) -> Bool # max :: (a, b, c, d, e, f, g, h, i, j, k, l, m, n, o) -> (a, b, c, d, e, f, g, h, i, j, k, l, m, n, o) -> (a, b, c, d, e, f, g, h, i, j, k, l, m, n, o) # min :: (a, b, c, d, e, f, g, h, i, j, k, l, m, n, o) -> (a, b, c, d, e, f, g, h, i, j, k, l, m, n, o) -> (a, b, c, d, e, f, g, h, i, j, k, l, m, n, o) # | |
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
Instances
| 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 Int8 | Since: base-2.1 |
| Read Int16 | Since: base-2.1 |
| Read Int32 | Since: base-2.1 |
| Read Int64 | Since: base-2.1 |
| Read Integer | Since: base-2.1 |
| Read Natural | Since: base-4.8.0.0 |
| Read Ordering | Since: base-2.1 |
| Read Word | Since: base-4.5.0.0 |
| Read Word8 | Since: base-2.1 |
| Read Word16 | Since: base-2.1 |
| Read Word32 | Since: base-2.1 |
| Read Word64 | Since: base-2.1 |
| Read () | Since: base-2.1 |
| Read Void | Reading a Since: base-4.8.0.0 |
| Read Version | Since: base-2.1 |
| 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 All | Since: base-2.1 |
| Read Any | Since: base-2.1 |
| Read Fixity | Since: base-4.6.0.0 |
| Read Associativity | Since: base-4.6.0.0 |
Defined in GHC.Generics Methods readsPrec :: Int -> ReadS Associativity # readList :: ReadS [Associativity] # | |
| Read SourceUnpackedness | Since: base-4.9.0.0 |
Defined in GHC.Generics Methods readsPrec :: Int -> ReadS SourceUnpackedness # readList :: ReadS [SourceUnpackedness] # | |
| Read SourceStrictness | Since: base-4.9.0.0 |
Defined in GHC.Generics Methods readsPrec :: Int -> ReadS SourceStrictness # readList :: ReadS [SourceStrictness] # | |
| Read DecidedStrictness | Since: base-4.9.0.0 |
Defined in GHC.Generics Methods readsPrec :: Int -> ReadS DecidedStrictness # readList :: ReadS [DecidedStrictness] # | |
| Read SomeNat | Since: base-4.7.0.0 |
| Read IOMode | Since: base-4.2.0.0 |
| Read Lexeme | Since: base-2.1 |
| Read GeneralCategory | Since: base-2.1 |
Defined in GHC.Read Methods readsPrec :: Int -> ReadS GeneralCategory # readList :: ReadS [GeneralCategory] # | |
| Read ByteString | |
Defined in Data.ByteString.Lazy.Internal Methods readsPrec :: Int -> ReadS ByteString # readList :: ReadS [ByteString] # readPrec :: ReadPrec ByteString # readListPrec :: ReadPrec [ByteString] # | |
| Read ByteString | |
Defined in Data.ByteString.Internal Methods readsPrec :: Int -> ReadS ByteString # readList :: ReadS [ByteString] # readPrec :: ReadPrec ByteString # readListPrec :: ReadPrec [ByteString] # | |
| Read IntSet | |
| Read Undefined | |
| Read Msg | |
| Read PubKey | |
| Read SecKey | |
| Read Sig | |
| Read Tweak | |
| Read a => Read [a] | Since: base-2.1 |
| Read a => Read (Maybe a) | Since: base-2.1 |
| (Integral a, Read a) => Read (Ratio a) | Since: base-2.1 |
| Read p => Read (Par1 p) | Since: base-4.7.0.0 |
| Read a => Read (Min a) | Since: base-4.9.0.0 |
| Read a => Read (Max a) | Since: base-4.9.0.0 |
| Read a => Read (First a) | Since: base-4.9.0.0 |
| Read a => Read (Last a) | Since: base-4.9.0.0 |
| Read 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 (Option a) | Since: base-4.9.0.0 |
| Read a => Read (ZipList a) | Since: base-4.7.0.0 |
| 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 (Dual a) | Since: base-2.1 |
| Read a => Read (Sum a) | Since: base-2.1 |
| Read a => Read (Product a) | Since: base-2.1 |
| Read a => Read (Down a) | Since: base-4.7.0.0 |
| Read a => Read (NonEmpty a) | Since: base-4.11.0.0 |
| Read e => Read (IntMap e) | |
| Read a => Read (Tree a) | |
| Read a => Read (Seq a) | |
| Read a => Read (ViewL a) | |
| Read a => Read (ViewR a) | |
| (Read a, Ord a) => Read (Set a) | |
| (Eq a, Hashable a, Read a) => Read (HashSet a) | |
| Read a => Read (Vector a) | |
| (Read a, Prim a) => Read (Vector a) | |
| HashAlgorithm a => Read (Digest a) | |
| Read a => Read (Array a) | |
| Read a => Read (SmallArray a) | |
| (Read a, Storable a) => Read (Vector a) | |
| (Read a, Read b) => Read (Either a b) | Since: base-3.0 |
| Read (V1 p) | Since: base-4.9.0.0 |
| Read (U1 p) | Since: base-4.9.0.0 |
| (Read a, Read b) => Read (a, b) | Since: base-2.1 |
| (Ix a, Read a, Read b) => Read (Array a b) | Since: base-2.1 |
| (Read a, Read b) => Read (Arg a b) | Since: base-4.9.0.0 |
| Read (Proxy t) | Since: base-4.7.0.0 |
| (Ord k, Read k, Read e) => Read (Map k e) | |
| (Read1 m, Read a) => Read (MaybeT m a) | |
| (Eq k, Hashable k, Read k, Read e) => Read (HashMap k e) | |
| Read (f p) => Read (Rec1 f p) | Since: base-4.7.0.0 |
| (Read a, Read b, Read c) => Read (a, b, c) | Since: base-2.1 |
| 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 |
| (Read1 f, Read a) => Read (IdentityT f a) | |
| (Read e, Read1 m, Read a) => Read (ErrorT e m a) | |
| (Read e, Read1 m, Read a) => Read (ExceptT e m a) | |
| Read c => Read (K1 i c p) | Since: base-4.7.0.0 |
| (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 a, Read b, Read c, Read d) => Read (a, b, c, d) | Since: base-2.1 |
| a ~~ b => Read (a :~~: b) | Since: base-4.10.0.0 |
| Read (f p) => Read (M1 i c f p) | Since: base-4.7.0.0 |
| Read (f (g p)) => Read ((f :.: g) p) | Since: base-4.7.0.0 |
| (Read a, Read b, Read c, Read d, Read e) => Read (a, b, c, d, e) | Since: base-2.1 |
| (Read1 f, Read1 g, Read a) => Read (Compose f g a) | Since: base-4.9.0.0 |
| (Read a, Read b, Read c, Read d, Read e, Read f) => Read (a, b, c, d, e, f) | Since: base-2.1 |
| (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 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 | |
class (Num a, Ord a) => Real a where #
Methods
toRational :: a -> Rational #
the rational equivalent of its real argument with full precision
Instances
| Real Int | Since: base-2.0.1 |
Defined in GHC.Real Methods toRational :: Int -> Rational # | |
| Real Int8 | Since: base-2.1 |
Defined in GHC.Int Methods toRational :: Int8 -> Rational # | |
| Real Int16 | Since: base-2.1 |
Defined in GHC.Int Methods toRational :: Int16 -> Rational # | |
| Real Int32 | Since: base-2.1 |
Defined in GHC.Int Methods toRational :: Int32 -> Rational # | |
| Real Int64 | Since: base-2.1 |
Defined in GHC.Int Methods toRational :: Int64 -> Rational # | |
| Real Integer | Since: base-2.0.1 |
Defined in GHC.Real Methods toRational :: Integer -> Rational # | |
| Real Natural | Since: base-4.8.0.0 |
Defined in GHC.Real Methods toRational :: Natural -> Rational # | |
| Real Word | Since: base-2.1 |
Defined in GHC.Real Methods toRational :: Word -> Rational # | |
| Real Word8 | Since: base-2.1 |
Defined in GHC.Word Methods toRational :: Word8 -> Rational # | |
| Real Word16 | Since: base-2.1 |
Defined in GHC.Word Methods toRational :: Word16 -> Rational # | |
| Real Word32 | Since: base-2.1 |
Defined in GHC.Word Methods toRational :: Word32 -> Rational # | |
| Real Word64 | Since: base-2.1 |
Defined in GHC.Word Methods toRational :: Word64 -> Rational # | |
| Integral a => Real (Ratio a) | Since: base-2.0.1 |
Defined in GHC.Real Methods toRational :: Ratio a -> Rational # | |
| Real a => Real (Identity a) | Since: base-4.9.0.0 |
Defined in Data.Functor.Identity Methods toRational :: Identity a -> Rational # | |
| Real a => Real (Const a b) | Since: base-4.9.0.0 |
Defined in Data.Functor.Const Methods toRational :: Const a b -> Rational # | |
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
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)".
Instances
The class Typeable allows a concrete representation of a type to
be calculated.
Minimal complete definition
typeRep#
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
Since: base-4.9.0.0
Instances
Class for string-like datastructures; used by the overloaded string extension (-XOverloadedStrings in GHC).
Methods
fromString :: String -> a #
Instances
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.
liftA2 :: (a -> b -> c) -> f a -> f b -> f c #
Lift a binary function to actions.
Some functors support an implementation of liftA2 that is more
efficient than the default one. In particular, if fmap is an
expensive operation, it is likely better to use liftA2 than to
fmap over the structure and then use <*>.
(*>) :: f a -> f b -> f b infixl 4 #
Sequence actions, discarding the value of the first argument.
(<*) :: f a -> f b -> f a infixl 4 #
Sequence actions, discarding the value of the second argument.
Instances
| Applicative [] | Since: base-2.1 |
| Applicative Maybe | Since: base-2.1 |
| Applicative IO | Since: base-2.1 |
| Applicative Par1 | Since: base-4.9.0.0 |
| Applicative Q | |
| Applicative Min | Since: base-4.9.0.0 |
| Applicative Max | Since: base-4.9.0.0 |
| Applicative First | Since: base-4.9.0.0 |
| Applicative Last | Since: base-4.9.0.0 |
| Applicative Option | Since: base-4.9.0.0 |
| 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 Identity | Since: base-4.8.0.0 |
| Applicative STM | Since: base-4.8.0.0 |
| Applicative First | Since: base-4.8.0.0 |
| Applicative Last | Since: base-4.8.0.0 |
| Applicative Dual | Since: base-4.8.0.0 |
| Applicative Sum | Since: base-4.8.0.0 |
| Applicative Product | Since: base-4.8.0.0 |
| Applicative Down | Since: base-4.11.0.0 |
| Applicative ReadP | Since: base-4.6.0.0 |
| Applicative NonEmpty | Since: base-4.9.0.0 |
| Applicative Tree | |
| Applicative Seq | Since: containers-0.5.4 |
| Applicative Vector | |
| Applicative Id | |
| Applicative Box | |
| Applicative P | Since: base-4.5.0.0 |
| Applicative CryptoFailable | |
Defined in Crypto.Error.Types Methods pure :: a -> CryptoFailable a # (<*>) :: CryptoFailable (a -> b) -> CryptoFailable a -> CryptoFailable b # liftA2 :: (a -> b -> c) -> CryptoFailable a -> CryptoFailable b -> CryptoFailable c # (*>) :: CryptoFailable a -> CryptoFailable b -> CryptoFailable b # (<*) :: CryptoFailable a -> CryptoFailable b -> CryptoFailable a # | |
| Applicative Identifier | |
Defined in Text.Casing | |
| Applicative Array | |
| Applicative SmallArray | |
Defined in Data.Primitive.SmallArray | |
| Applicative (Either e) | Since: base-3.0 |
| Applicative (U1 :: Type -> Type) | Since: base-4.9.0.0 |
| Monoid a => Applicative ((,) a) | For tuples, the ("hello ", (+15)) <*> ("world!", 2002)
("hello world!",2017)Since: base-2.1 |
| 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 (Proxy :: Type -> Type) | Since: base-4.7.0.0 |
| (Functor m, Monad m) => Applicative (MaybeT m) | |
| DRG gen => Applicative (MonadPseudoRandom gen) | |
Defined in Crypto.Random.Types Methods pure :: a -> MonadPseudoRandom gen a # (<*>) :: MonadPseudoRandom gen (a -> b) -> MonadPseudoRandom gen a -> MonadPseudoRandom gen b # liftA2 :: (a -> b -> c) -> MonadPseudoRandom gen a -> MonadPseudoRandom gen b -> MonadPseudoRandom gen c # (*>) :: MonadPseudoRandom gen a -> MonadPseudoRandom gen b -> MonadPseudoRandom gen b # (<*) :: MonadPseudoRandom gen a -> MonadPseudoRandom gen b -> MonadPseudoRandom gen a # | |
| Applicative f => Applicative (Rec1 f) | Since: base-4.9.0.0 |
| 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 # | |
| Monoid m => Applicative (Const m :: Type -> Type) | Since: base-2.0.1 |
| Applicative f => Applicative (Ap f) | Since: base-4.12.0.0 |
| Applicative f => Applicative (Alt f) | Since: base-4.8.0.0 |
| (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 # | |
| Applicative m => Applicative (IdentityT m) | |
Defined in Control.Monad.Trans.Identity | |
| (Functor m, Monad m) => Applicative (ErrorT e m) | |
Defined in Control.Monad.Trans.Error | |
| (Functor m, Monad m) => Applicative (ExceptT e m) | |
Defined in Control.Monad.Trans.Except | |
| Applicative m => Applicative (ReaderT r m) | |
Defined in Control.Monad.Trans.Reader | |
| (Functor m, Monad m) => Applicative (StateT s m) | |
Defined in Control.Monad.Trans.State.Strict | |
| (Monad m, Monoid r) => Applicative (Effect m r) | |
Defined in Lens.Micro.Mtl.Internal | |
| (Monad m, Monoid s) => Applicative (Focusing m s) | |
Defined in Lens.Micro.Mtl.Internal | |
| Applicative (k (May s)) => Applicative (FocusingMay k s) | |
Defined in Lens.Micro.Mtl.Internal Methods pure :: a -> FocusingMay k s a # (<*>) :: FocusingMay k s (a -> b) -> FocusingMay k s a -> FocusingMay k s b # liftA2 :: (a -> b -> c) -> FocusingMay k s a -> FocusingMay k s b -> FocusingMay k s c # (*>) :: FocusingMay k s a -> FocusingMay k s b -> FocusingMay k s b # (<*) :: FocusingMay k s a -> FocusingMay k s b -> FocusingMay k s a # | |
| Applicative (Bazaar a b) | |
Defined in Lens.Micro | |
| (Functor m, Monad m) => Applicative (StateT s m) | |
| Applicative ((->) a :: Type -> Type) | Since: base-2.1 |
| Monoid c => Applicative (K1 i c :: Type -> Type) | Since: base-4.12.0.0 |
| (Applicative f, Applicative g) => Applicative (f :*: g) | Since: base-4.9.0.0 |
| (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 (k (Err e s)) => Applicative (FocusingErr e k s) | |
Defined in Lens.Micro.Mtl.Internal Methods pure :: a -> FocusingErr e k s a # (<*>) :: FocusingErr e k s (a -> b) -> FocusingErr e k s a -> FocusingErr e k s b # liftA2 :: (a -> b -> c) -> FocusingErr e k s a -> FocusingErr e k s b -> FocusingErr e k s c # (*>) :: FocusingErr e k s a -> FocusingErr e k s b -> FocusingErr e k s b # (<*) :: FocusingErr e k s a -> FocusingErr e k s b -> FocusingErr e k s a # | |
| Applicative (k (f s)) => Applicative (FocusingOn f k s) | |
Defined in Lens.Micro.Mtl.Internal Methods pure :: a -> FocusingOn f k s a # (<*>) :: FocusingOn f k s (a -> b) -> FocusingOn f k s a -> FocusingOn f k s b # liftA2 :: (a -> b -> c) -> FocusingOn f k s a -> FocusingOn f k s b -> FocusingOn f k s c # (*>) :: FocusingOn f k s a -> FocusingOn f k s b -> FocusingOn f k s b # (<*) :: FocusingOn f k s a -> FocusingOn f k s b -> FocusingOn f k s a # | |
| Applicative (k (s, w)) => Applicative (FocusingPlus w k s) | |
Defined in Lens.Micro.Mtl.Internal Methods pure :: a -> FocusingPlus w k s a # (<*>) :: FocusingPlus w k s (a -> b) -> FocusingPlus w k s a -> FocusingPlus w k s b # liftA2 :: (a -> b -> c) -> FocusingPlus w k s a -> FocusingPlus w k s b -> FocusingPlus w k s c # (*>) :: FocusingPlus w k s a -> FocusingPlus w k s b -> FocusingPlus w k s b # (<*) :: FocusingPlus w k s a -> FocusingPlus w k s b -> FocusingPlus w k s a # | |
| (Monad m, Monoid s, Monoid w) => Applicative (FocusingWith w m s) | |
Defined in Lens.Micro.Mtl.Internal Methods pure :: a -> FocusingWith w m s a # (<*>) :: FocusingWith w m s (a -> b) -> FocusingWith w m s a -> FocusingWith w m s b # liftA2 :: (a -> b -> c) -> FocusingWith w m s a -> FocusingWith w m s b -> FocusingWith w m s c # (*>) :: FocusingWith w m s a -> FocusingWith w m s b -> FocusingWith w m s b # (<*) :: FocusingWith w m s a -> FocusingWith w m s b -> FocusingWith w m s a # | |
| Applicative f => Applicative (M1 i c f) | Since: base-4.9.0.0 |
| (Applicative f, Applicative g) => Applicative (f :.: g) | Since: base-4.9.0.0 |
| (Applicative f, Applicative g) => Applicative (Compose f g) | Since: base-4.9.0.0 |
Defined in Data.Functor.Compose | |
| (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 # | |
| (Monoid s, Monoid w, Monad m) => Applicative (EffectRWS w st m s) | |
Defined in Lens.Micro.Mtl.Internal Methods pure :: a -> EffectRWS w st m s a # (<*>) :: EffectRWS w st m s (a -> b) -> EffectRWS w st m s a -> EffectRWS w st m s b # liftA2 :: (a -> b -> c) -> EffectRWS w st m s a -> EffectRWS w st m s b -> EffectRWS w st m s c # (*>) :: EffectRWS w st m s a -> EffectRWS w st m s b -> EffectRWS w st m s b # (<*) :: EffectRWS w st m s a -> EffectRWS w st m s b -> EffectRWS w st m s a # | |
| Monad state => Applicative (Builder collection mutCollection step state err) | |
Defined in Basement.MutableBuilder Methods pure :: a -> Builder collection mutCollection step state err a # (<*>) :: Builder collection mutCollection step state err (a -> b) -> Builder collection mutCollection step state err a -> Builder collection mutCollection step state err b # liftA2 :: (a -> b -> c) -> Builder collection mutCollection step state err a -> Builder collection mutCollection step state err b -> Builder collection mutCollection step state err c # (*>) :: Builder collection mutCollection step state err a -> Builder collection mutCollection step state err b -> Builder collection mutCollection step state err b # (<*) :: Builder collection mutCollection step state err a -> Builder collection mutCollection step state err b -> Builder collection mutCollection step state err a # | |
class Foldable (t :: Type -> Type) #
Data structures that can be folded.
For example, given a data type
data Tree a = Empty | Leaf a | Node (Tree a) a (Tree a)
a suitable instance would be
instance Foldable Tree where foldMap f Empty = mempty foldMap f (Leaf x) = f x foldMap f (Node l k r) = foldMap f l `mappend` f k `mappend` foldMap f r
This is suitable even for abstract types, as the monoid is assumed
to satisfy the monoid laws. Alternatively, one could define foldr:
instance Foldable Tree where foldr f z Empty = z foldr f z (Leaf x) = f x z foldr f z (Node l k r) = foldr f (f k (foldr f z r)) l
Foldable instances are expected to satisfy the following laws:
foldr f z t = appEndo (foldMap (Endo . f) t ) z
foldl f z t = appEndo (getDual (foldMap (Dual . Endo . flip f) t)) z
fold = foldMap id
length = getSum . foldMap (Sum . const 1)
sum, product, maximum, and minimum should all be essentially
equivalent to foldMap forms, such as
sum = getSum . foldMap Sum
but may be less defined.
If the type is also a Functor instance, it should satisfy
foldMap f = fold . fmap f
which implies that
foldMap f . fmap g = foldMap (f . g)
Instances
| Foldable [] | Since: base-2.1 |
Defined in Data.Foldable Methods fold :: Monoid m => [m] -> m # foldMap :: Monoid m => (a -> m) -> [a] -> m # foldr :: (a -> b -> b) -> b -> [a] -> b # foldr' :: (a -> b -> b) -> b -> [a] -> b # foldl :: (b -> a -> b) -> b -> [a] -> b # foldl' :: (b -> a -> b) -> b -> [a] -> b # foldr1 :: (a -> a -> a) -> [a] -> a # foldl1 :: (a -> a -> a) -> [a] -> a # elem :: Eq a => a -> [a] -> Bool # maximum :: Ord a => [a] -> a # | |
| Foldable Maybe | Since: base-2.1 |
Defined in Data.Foldable Methods fold :: Monoid m => Maybe m -> m # foldMap :: Monoid m => (a -> m) -> Maybe a -> m # foldr :: (a -> b -> b) -> b -> Maybe a -> b # foldr' :: (a -> b -> b) -> b -> Maybe a -> b # foldl :: (b -> a -> b) -> b -> Maybe a -> b # foldl' :: (b -> a -> b) -> b -> Maybe a -> b # foldr1 :: (a -> a -> a) -> Maybe a -> a # foldl1 :: (a -> a -> a) -> Maybe a -> a # elem :: Eq a => a -> Maybe a -> Bool # maximum :: Ord a => Maybe a -> a # minimum :: Ord a => Maybe a -> a # | |
| Foldable Par1 | 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 # 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 Min | Since: base-4.9.0.0 |
Defined in Data.Semigroup Methods fold :: Monoid m => Min m -> m # foldMap :: Monoid m => (a -> m) -> Min a -> m # foldr :: (a -> b -> b) -> b -> Min a -> b # foldr' :: (a -> b -> b) -> b -> Min a -> b # foldl :: (b -> a -> b) -> b -> Min a -> b # foldl' :: (b -> a -> b) -> b -> Min a -> b # foldr1 :: (a -> a -> a) -> Min a -> a # foldl1 :: (a -> a -> a) -> Min a -> a # elem :: Eq a => a -> Min a -> Bool # maximum :: Ord a => Min a -> a # | |
| Foldable Max | Since: base-4.9.0.0 |
Defined in Data.Semigroup Methods fold :: Monoid m => Max m -> m # foldMap :: Monoid m => (a -> m) -> Max a -> m # foldr :: (a -> b -> b) -> b -> Max a -> b # foldr' :: (a -> b -> b) -> b -> Max a -> b # foldl :: (b -> a -> b) -> b -> Max a -> b # foldl' :: (b -> a -> b) -> b -> Max a -> b # foldr1 :: (a -> a -> a) -> Max a -> a # foldl1 :: (a -> a -> a) -> Max a -> a # elem :: Eq a => a -> Max a -> Bool # maximum :: Ord a => Max a -> a # | |
| Foldable First | Since: base-4.9.0.0 |
Defined in Data.Semigroup Methods fold :: Monoid m => First m -> m # foldMap :: Monoid m => (a -> m) -> First a -> m # foldr :: (a -> b -> b) -> b -> First a -> b # foldr' :: (a -> b -> b) -> b -> First a -> b # foldl :: (b -> a -> b) -> b -> First a -> b # foldl' :: (b -> a -> b) -> b -> First a -> b # foldr1 :: (a -> a -> a) -> First a -> a # foldl1 :: (a -> a -> a) -> First a -> a # elem :: Eq a => a -> First a -> Bool # maximum :: Ord a => First a -> a # minimum :: Ord a => First a -> a # | |
| Foldable Last | Since: base-4.9.0.0 |
Defined in Data.Semigroup Methods fold :: Monoid m => Last m -> m # foldMap :: Monoid m => (a -> m) -> Last a -> m # foldr :: (a -> b -> b) -> b -> Last a -> b # foldr' :: (a -> b -> b) -> b -> Last a -> b # foldl :: (b -> a -> b) -> b -> Last a -> b # foldl' :: (b -> a -> b) -> b -> Last a -> b # foldr1 :: (a -> a -> a) -> Last a -> a # foldl1 :: (a -> a -> a) -> Last a -> a # elem :: Eq a => a -> Last a -> Bool # maximum :: Ord a => Last a -> a # | |
| Foldable Option | Since: base-4.9.0.0 |
Defined in Data.Semigroup Methods fold :: Monoid m => Option m -> m # foldMap :: Monoid m => (a -> m) -> Option a -> m # foldr :: (a -> b -> b) -> b -> Option a -> b # foldr' :: (a -> b -> b) -> b -> Option a -> b # foldl :: (b -> a -> b) -> b -> Option a -> b # foldl' :: (b -> a -> b) -> b -> Option a -> b # foldr1 :: (a -> a -> a) -> Option a -> a # foldl1 :: (a -> a -> a) -> Option a -> a # elem :: Eq a => a -> Option a -> Bool # maximum :: Ord a => Option a -> a # minimum :: Ord a => Option a -> a # | |
| Foldable ZipList | 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 # foldr :: (a -> b -> b) -> b -> ZipList a -> b # foldr' :: (a -> b -> b) -> b -> ZipList a -> b # foldl :: (b -> a -> b) -> b -> ZipList a -> b # foldl' :: (b -> a -> b) -> b -> ZipList a -> b # foldr1 :: (a -> a -> a) -> ZipList a -> a # foldl1 :: (a -> a -> a) -> ZipList a -> a # elem :: Eq a => a -> ZipList a -> Bool # maximum :: Ord a => ZipList a -> a # minimum :: Ord a => ZipList a -> a # | |
| Foldable Identity | Since: base-4.8.0.0 |
Defined in Data.Functor.Identity Methods fold :: Monoid m => Identity m -> m # foldMap :: Monoid m => (a -> m) -> Identity a -> m # foldr :: (a -> b -> b) -> b -> Identity a -> b # foldr' :: (a -> b -> b) -> b -> Identity a -> b # foldl :: (b -> a -> b) -> b -> Identity a -> b # foldl' :: (b -> a -> b) -> b -> Identity a -> b # foldr1 :: (a -> a -> a) -> Identity a -> a # foldl1 :: (a -> a -> a) -> Identity a -> a # elem :: Eq a => a -> Identity a -> Bool # maximum :: Ord a => Identity a -> a # minimum :: Ord a => Identity a -> a # | |
| Foldable First | Since: base-4.8.0.0 |
Defined in Data.Foldable Methods fold :: Monoid m => First m -> m # foldMap :: Monoid m => (a -> m) -> First a -> m # foldr :: (a -> b -> b) -> b -> First a -> b # foldr' :: (a -> b -> b) -> b -> First a -> b # foldl :: (b -> a -> b) -> b -> First a -> b # foldl' :: (b -> a -> b) -> b -> First a -> b # foldr1 :: (a -> a -> a) -> First a -> a # foldl1 :: (a -> a -> a) -> First a -> a # elem :: Eq a => a -> First a -> Bool # maximum :: Ord a => First a -> a # minimum :: Ord a => First a -> a # | |
| Foldable Last | Since: base-4.8.0.0 |
Defined in Data.Foldable Methods fold :: Monoid m => Last m -> m # foldMap :: Monoid m => (a -> m) -> Last a -> m # foldr :: (a -> b -> b) -> b -> Last a -> b # foldr' :: (a -> b -> b) -> b -> Last a -> b # foldl :: (b -> a -> b) -> b -> Last a -> b # foldl' :: (b -> a -> b) -> b -> Last a -> b # foldr1 :: (a -> a -> a) -> Last a -> a # foldl1 :: (a -> a -> a) -> Last a -> a # elem :: Eq a => a -> Last a -> Bool # maximum :: Ord a => Last a -> a # | |
| Foldable Dual | Since: base-4.8.0.0 |
Defined in Data.Foldable Methods fold :: Monoid m => Dual m -> m # foldMap :: Monoid m => (a -> m) -> Dual a -> m # foldr :: (a -> b -> b) -> b -> Dual a -> b # foldr' :: (a -> b -> b) -> b -> Dual a -> b # foldl :: (b -> a -> b) -> b -> Dual a -> b # foldl' :: (b -> a -> b) -> b -> Dual a -> b # foldr1 :: (a -> a -> a) -> Dual a -> a # foldl1 :: (a -> a -> a) -> Dual a -> a # elem :: Eq a => a -> Dual a -> Bool # maximum :: Ord a => Dual a -> a # | |
| Foldable Sum | Since: base-4.8.0.0 |
Defined in Data.Foldable Methods fold :: Monoid m => Sum m -> m # foldMap :: Monoid m => (a -> m) -> Sum a -> m # foldr :: (a -> b -> b) -> b -> Sum a -> b # foldr' :: (a -> b -> b) -> b -> Sum a -> b # foldl :: (b -> a -> b) -> b -> Sum a -> b # foldl' :: (b -> a -> b) -> b -> Sum a -> b # foldr1 :: (a -> a -> a) -> Sum a -> a # foldl1 :: (a -> a -> a) -> Sum a -> a # elem :: Eq a => a -> Sum a -> Bool # maximum :: Ord a => Sum a -> a # | |
| Foldable Product | Since: base-4.8.0.0 |
Defined in Data.Foldable Methods fold :: Monoid m => Product m -> m # foldMap :: Monoid m => (a -> m) -> Product a -> m # foldr :: (a -> b -> b) -> b -> Product a -> b # foldr' :: (a -> b -> b) -> b -> Product a -> b # foldl :: (b -> a -> b) -> b -> Product a -> b # foldl' :: (b -> a -> b) -> b -> Product a -> b # foldr1 :: (a -> a -> a) -> Product a -> a # foldl1 :: (a -> a -> a) -> Product a -> a # elem :: Eq a => a -> Product a -> Bool # maximum :: Ord a => Product a -> a # minimum :: Ord a => Product a -> a # | |
| Foldable 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 # 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 NonEmpty | Since: base-4.9.0.0 |
Defined in Data.Foldable Methods fold :: Monoid m => NonEmpty m -> m # foldMap :: Monoid m => (a -> m) -> NonEmpty a -> m # foldr :: (a -> b -> b) -> b -> NonEmpty a -> b # foldr' :: (a -> b -> b) -> b -> NonEmpty a -> b # foldl :: (b -> a -> b) -> b -> NonEmpty a -> b # foldl' :: (b -> a -> b) -> b -> NonEmpty a -> b # foldr1 :: (a -> a -> a) -> NonEmpty a -> a # foldl1 :: (a -> a -> a) -> NonEmpty a -> a # elem :: Eq a => a -> NonEmpty a -> Bool # maximum :: Ord a => NonEmpty a -> a # minimum :: Ord a => NonEmpty a -> a # | |
| Foldable IntMap | |
Defined in Data.IntMap.Internal Methods fold :: Monoid m => IntMap m -> m # foldMap :: Monoid m => (a -> m) -> IntMap a -> m # foldr :: (a -> b -> b) -> b -> IntMap a -> b # foldr' :: (a -> b -> b) -> b -> IntMap a -> b # foldl :: (b -> a -> b) -> b -> IntMap a -> b # foldl' :: (b -> a -> b) -> b -> IntMap a -> b # foldr1 :: (a -> a -> a) -> IntMap a -> a # foldl1 :: (a -> a -> a) -> IntMap a -> a # elem :: Eq a => a -> IntMap a -> Bool # maximum :: Ord a => IntMap a -> a # minimum :: Ord a => IntMap a -> a # | |
| Foldable Tree | |
Defined in Data.Tree Methods fold :: Monoid m => Tree m -> m # foldMap :: Monoid m => (a -> m) -> Tree a -> m # foldr :: (a -> b -> b) -> b -> Tree a -> b # foldr' :: (a -> b -> b) -> b -> Tree a -> b # foldl :: (b -> a -> b) -> b -> Tree a -> b # foldl' :: (b -> a -> b) -> b -> Tree a -> b # foldr1 :: (a -> a -> a) -> Tree a -> a # foldl1 :: (a -> a -> a) -> Tree a -> a # elem :: Eq a => a -> Tree a -> Bool # maximum :: Ord a => Tree a -> a # | |
| Foldable Seq | |
Defined in Data.Sequence.Internal Methods fold :: Monoid m => Seq m -> m # foldMap :: Monoid m => (a -> m) -> Seq a -> m # foldr :: (a -> b -> b) -> b -> Seq a -> b # foldr' :: (a -> b -> b) -> b -> Seq a -> b # foldl :: (b -> a -> b) -> b -> Seq a -> b # foldl' :: (b -> a -> b) -> b -> Seq a -> b # foldr1 :: (a -> a -> a) -> Seq a -> a # foldl1 :: (a -> a -> a) -> Seq a -> a # elem :: Eq a => a -> Seq a -> Bool # maximum :: Ord a => Seq a -> a # | |
| Foldable FingerTree | |
Defined in Data.Sequence.Internal Methods fold :: Monoid m => FingerTree m -> m # foldMap :: Monoid m => (a -> m) -> FingerTree a -> m # foldr :: (a -> b -> b) -> b -> FingerTree a -> b # foldr' :: (a -> b -> b) -> b -> FingerTree a -> b # foldl :: (b -> a -> b) -> b -> FingerTree a -> b # foldl' :: (b -> a -> b) -> b -> FingerTree a -> b # foldr1 :: (a -> a -> a) -> FingerTree a -> a # foldl1 :: (a -> a -> a) -> FingerTree a -> a # toList :: FingerTree a -> [a] # null :: FingerTree a -> Bool # length :: FingerTree a -> Int # elem :: Eq a => a -> FingerTree a -> Bool # maximum :: Ord a => FingerTree a -> a # minimum :: Ord a => FingerTree a -> a # sum :: Num a => FingerTree a -> a # product :: Num a => FingerTree a -> a # | |
| Foldable Digit | |
Defined in Data.Sequence.Internal Methods fold :: Monoid m => Digit m -> m # foldMap :: Monoid m => (a -> m) -> Digit a -> m # foldr :: (a -> b -> b) -> b -> Digit a -> b # foldr' :: (a -> b -> b) -> b -> Digit a -> b # foldl :: (b -> a -> b) -> b -> Digit a -> b # foldl' :: (b -> a -> b) -> b -> Digit a -> b # foldr1 :: (a -> a -> a) -> Digit a -> a # foldl1 :: (a -> a -> a) -> Digit a -> a # elem :: Eq a => a -> Digit a -> Bool # maximum :: Ord a => Digit a -> a # minimum :: Ord a => Digit a -> a # | |
| Foldable Node | |
Defined in Data.Sequence.Internal Methods fold :: Monoid m => Node m -> m # foldMap :: Monoid m => (a -> m) -> Node a -> m # foldr :: (a -> b -> b) -> b -> Node a -> b # foldr' :: (a -> b -> b) -> b -> Node a -> b # foldl :: (b -> a -> b) -> b -> Node a -> b # foldl' :: (b -> a -> b) -> b -> Node a -> b # foldr1 :: (a -> a -> a) -> Node a -> a # foldl1 :: (a -> a -> a) -> Node a -> a # elem :: Eq a => a -> Node a -> Bool # maximum :: Ord a => Node a -> a # | |
| Foldable Elem | |
Defined in Data.Sequence.Internal Methods fold :: Monoid m => Elem m -> m # foldMap :: Monoid m => (a -> m) -> Elem a -> m # foldr :: (a -> b -> b) -> b -> Elem a -> b # foldr' :: (a -> b -> b) -> b -> Elem a -> b # foldl :: (b -> a -> b) -> b -> Elem a -> b # foldl' :: (b -> a -> b) -> b -> Elem a -> b # foldr1 :: (a -> a -> a) -> Elem a -> a # foldl1 :: (a -> a -> a) -> Elem a -> a # elem :: Eq a => a -> Elem a -> Bool # maximum :: Ord a => Elem a -> a # | |
| Foldable ViewL | |
Defined in Data.Sequence.Internal Methods fold :: Monoid m => ViewL m -> m # foldMap :: Monoid m => (a -> m) -> ViewL a -> m # foldr :: (a -> b -> b) -> b -> ViewL a -> b # foldr' :: (a -> b -> b) -> b -> ViewL a -> b # foldl :: (b -> a -> b) -> b -> ViewL a -> b # foldl' :: (b -> a -> b) -> b -> ViewL a -> b # foldr1 :: (a -> a -> a) -> ViewL a -> a # foldl1 :: (a -> a -> a) -> ViewL a -> a # elem :: Eq a => a -> ViewL a -> Bool # maximum :: Ord a => ViewL a -> a # minimum :: Ord a => ViewL a -> a # | |
| Foldable ViewR | |
Defined in Data.Sequence.Internal Methods fold :: Monoid m => ViewR m -> m # foldMap :: Monoid m => (a -> m) -> ViewR a -> m # foldr :: (a -> b -> b) -> b -> ViewR a -> b # foldr' :: (a -> b -> b) -> b -> ViewR a -> b # foldl :: (b -> a -> b) -> b -> ViewR a -> b # foldl' :: (b -> a -> b) -> b -> ViewR a -> b # foldr1 :: (a -> a -> a) -> ViewR a -> a # foldl1 :: (a -> a -> a) -> ViewR a -> a # elem :: Eq a => a -> ViewR a -> Bool # maximum :: Ord a => ViewR a -> a # minimum :: Ord a => ViewR a -> a # | |
| Foldable Set | |
Defined in Data.Set.Internal Methods fold :: Monoid m => Set m -> m # foldMap :: Monoid m => (a -> m) -> Set a -> m # foldr :: (a -> b -> b) -> b -> Set a -> b # foldr' :: (a -> b -> b) -> b -> Set a -> b # foldl :: (b -> a -> b) -> b -> Set a -> b # foldl' :: (b -> a -> b) -> b -> Set a -> b # foldr1 :: (a -> a -> a) -> Set a -> a # foldl1 :: (a -> a -> a) -> Set a -> a # elem :: Eq a => a -> Set a -> Bool # maximum :: Ord a => Set a -> a # | |
| Foldable HashSet | |
Defined in Data.HashSet.Internal Methods fold :: Monoid m => HashSet m -> m # foldMap :: Monoid m => (a -> m) -> HashSet a -> m # foldr :: (a -> b -> b) -> b -> HashSet a -> b # foldr' :: (a -> b -> b) -> b -> HashSet a -> b # foldl :: (b -> a -> b) -> b -> HashSet a -> b # foldl' :: (b -> a -> b) -> b -> HashSet a -> b # foldr1 :: (a -> a -> a) -> HashSet a -> a # foldl1 :: (a -> a -> a) -> HashSet a -> a # elem :: Eq a => a -> HashSet a -> Bool # maximum :: Ord a => HashSet a -> a # minimum :: Ord a => HashSet a -> a # | |
| Foldable Vector | |
Defined in Data.Vector Methods fold :: Monoid m => Vector m -> m # foldMap :: Monoid m => (a -> m) -> Vector a -> m # foldr :: (a -> b -> b) -> b -> Vector a -> b # foldr' :: (a -> b -> b) -> b -> Vector a -> b # foldl :: (b -> a -> b) -> b -> Vector a -> b # foldl' :: (b -> a -> b) -> b -> Vector a -> b # foldr1 :: (a -> a -> a) -> Vector a -> a # foldl1 :: (a -> a -> a) -> Vector a -> a # elem :: Eq a => a -> Vector a -> Bool # maximum :: Ord a => Vector a -> a # minimum :: Ord a => Vector a -> a # | |
| Foldable Identifier | |
Defined in Text.Casing Methods fold :: Monoid m => Identifier m -> m # foldMap :: Monoid m => (a -> m) -> Identifier a -> m # foldr :: (a -> b -> b) -> b -> Identifier a -> b # foldr' :: (a -> b -> b) -> b -> Identifier a -> b # foldl :: (b -> a -> b) -> b -> Identifier a -> b # foldl' :: (b -> a -> b) -> b -> Identifier a -> b # foldr1 :: (a -> a -> a) -> Identifier a -> a # foldl1 :: (a -> a -> a) -> Identifier a -> a # toList :: Identifier a -> [a] # null :: Identifier a -> Bool # length :: Identifier a -> Int # elem :: Eq a => a -> Identifier a -> Bool # maximum :: Ord a => Identifier a -> a # minimum :: Ord a => Identifier a -> a # | |
| Foldable Hashed | |
Defined in Data.Hashable.Class Methods fold :: Monoid m => Hashed m -> m # foldMap :: Monoid m => (a -> m) -> Hashed a -> m # foldr :: (a -> b -> b) -> b -> Hashed a -> b # foldr' :: (a -> b -> b) -> b -> Hashed a -> b # foldl :: (b -> a -> b) -> b -> Hashed a -> b # foldl' :: (b -> a -> b) -> b -> Hashed a -> b # foldr1 :: (a -> a -> a) -> Hashed a -> a # foldl1 :: (a -> a -> a) -> Hashed a -> a # elem :: Eq a => a -> Hashed a -> Bool # maximum :: Ord a => Hashed a -> a # minimum :: Ord a => Hashed a -> a # | |
| Foldable Array | |
Defined in Data.Primitive.Array Methods fold :: Monoid m => Array m -> m # foldMap :: Monoid m => (a -> m) -> Array a -> m # foldr :: (a -> b -> b) -> b -> Array a -> b # foldr' :: (a -> b -> b) -> b -> Array a -> b # foldl :: (b -> a -> b) -> b -> Array a -> b # foldl' :: (b -> a -> b) -> b -> Array a -> b # foldr1 :: (a -> a -> a) -> Array a -> a # foldl1 :: (a -> a -> a) -> Array a -> a # elem :: Eq a => a -> Array a -> Bool # maximum :: Ord a => Array a -> a # minimum :: Ord a => Array a -> a # | |
| Foldable SmallArray | |
Defined in Data.Primitive.SmallArray Methods fold :: Monoid m => SmallArray m -> m # foldMap :: Monoid m => (a -> m) -> SmallArray a -> m # foldr :: (a -> b -> b) -> b -> SmallArray a -> b # foldr' :: (a -> b -> b) -> b -> SmallArray a -> b # foldl :: (b -> a -> b) -> b -> SmallArray a -> b # foldl' :: (b -> a -> b) -> b -> SmallArray a -> b # foldr1 :: (a -> a -> a) -> SmallArray a -> a # foldl1 :: (a -> a -> a) -> SmallArray a -> a # toList :: SmallArray a -> [a] # null :: SmallArray a -> Bool # length :: SmallArray a -> Int # elem :: Eq a => a -> SmallArray a -> Bool # maximum :: Ord a => SmallArray a -> a # minimum :: Ord a => SmallArray a -> a # | |
| Foldable (Either a) | Since: base-4.7.0.0 |
Defined in Data.Foldable Methods fold :: Monoid m => Either a m -> m # foldMap :: Monoid m => (a0 -> m) -> Either a a0 -> m # foldr :: (a0 -> b -> b) -> b -> Either a a0 -> b # foldr' :: (a0 -> b -> b) -> b -> Either a a0 -> b # foldl :: (b -> a0 -> b) -> b -> Either a a0 -> b # foldl' :: (b -> a0 -> b) -> b -> Either a a0 -> b # foldr1 :: (a0 -> a0 -> a0) -> Either a a0 -> a0 # foldl1 :: (a0 -> a0 -> a0) -> Either a a0 -> a0 # toList :: Either a a0 -> [a0] # length :: Either a a0 -> Int # elem :: Eq a0 => a0 -> Either a a0 -> Bool # maximum :: Ord a0 => Either a a0 -> a0 # minimum :: Ord a0 => Either a a0 -> a0 # | |
| Foldable (V1 :: 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 # foldr :: (a -> b -> b) -> b -> V1 a -> b # foldr' :: (a -> b -> b) -> b -> V1 a -> b # foldl :: (b -> a -> b) -> b -> V1 a -> b # foldl' :: (b -> a -> b) -> b -> V1 a -> b # foldr1 :: (a -> a -> a) -> V1 a -> a # foldl1 :: (a -> a -> a) -> V1 a -> a # elem :: Eq a => a -> V1 a -> Bool # maximum :: Ord a => V1 a -> a # | |
| Foldable (U1 :: 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 # foldr :: (a -> b -> b) -> b -> U1 a -> b # foldr' :: (a -> b -> b) -> b -> U1 a -> b # foldl :: (b -> a -> b) -> b -> U1 a -> b # foldl' :: (b -> a -> b) -> b -> U1 a -> b # foldr1 :: (a -> a -> a) -> U1 a -> a # foldl1 :: (a -> a -> a) -> U1 a -> a # elem :: Eq a => a -> U1 a -> Bool # maximum :: Ord a => U1 a -> a # | |
| Foldable ((,) a) | Since: base-4.7.0.0 |
Defined in Data.Foldable Methods fold :: Monoid m => (a, m) -> m # foldMap :: Monoid m => (a0 -> m) -> (a, a0) -> m # foldr :: (a0 -> b -> b) -> b -> (a, a0) -> b # foldr' :: (a0 -> b -> b) -> b -> (a, a0) -> b # foldl :: (b -> a0 -> b) -> b -> (a, a0) -> b # foldl' :: (b -> a0 -> b) -> b -> (a, a0) -> b # foldr1 :: (a0 -> a0 -> a0) -> (a, a0) -> a0 # foldl1 :: (a0 -> a0 -> a0) -> (a, a0) -> a0 # elem :: Eq a0 => a0 -> (a, a0) -> Bool # maximum :: Ord a0 => (a, a0) -> a0 # minimum :: Ord a0 => (a, a0) -> a0 # | |
| Foldable (Array i) | Since: base-4.8.0.0 |
Defined in Data.Foldable Methods fold :: Monoid m => Array i m -> m # foldMap :: Monoid m => (a -> m) -> Array i a -> m # foldr :: (a -> b -> b) -> b -> Array i a -> b # foldr' :: (a -> b -> b) -> b -> Array i a -> b # foldl :: (b -> a -> b) -> b -> Array i a -> b # foldl' :: (b -> a -> b) -> b -> Array i a -> b # foldr1 :: (a -> a -> a) -> Array i a -> a # foldl1 :: (a -> a -> a) -> Array i a -> a # elem :: Eq a => a -> Array i a -> Bool # maximum :: Ord a => Array i a -> a # minimum :: Ord a => Array i a -> a # | |
| Foldable (Arg a) | Since: base-4.9.0.0 |
Defined in Data.Semigroup Methods fold :: Monoid m => Arg a m -> m # foldMap :: Monoid m => (a0 -> m) -> Arg a a0 -> m # foldr :: (a0 -> b -> b) -> b -> Arg a a0 -> b # foldr' :: (a0 -> b -> b) -> b -> Arg a a0 -> b # foldl :: (b -> a0 -> b) -> b -> Arg a a0 -> b # foldl' :: (b -> a0 -> b) -> b -> Arg a a0 -> b # foldr1 :: (a0 -> a0 -> a0) -> Arg a a0 -> a0 # foldl1 :: (a0 -> a0 -> a0) -> Arg a a0 -> a0 # elem :: Eq a0 => a0 -> Arg a a0 -> Bool # maximum :: Ord a0 => Arg a a0 -> a0 # minimum :: Ord a0 => Arg a a0 -> a0 # | |
| Foldable (Proxy :: 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 # 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 (Map k) | |
Defined in Data.Map.Internal Methods fold :: Monoid m => Map k m -> m # foldMap :: Monoid m => (a -> m) -> Map k a -> m # foldr :: (a -> b -> b) -> b -> Map k a -> b # foldr' :: (a -> b -> b) -> b -> Map k a -> b # foldl :: (b -> a -> b) -> b -> Map k a -> b # foldl' :: (b -> a -> b) -> b -> Map k a -> b # foldr1 :: (a -> a -> a) -> Map k a -> a # foldl1 :: (a -> a -> a) -> Map k a -> a # elem :: Eq a => a -> Map k a -> Bool # maximum :: Ord a => Map k a -> a # minimum :: Ord a => Map k a -> a # | |
| Foldable f => Foldable (MaybeT f) | |
Defined in Control.Monad.Trans.Maybe Methods fold :: Monoid m => MaybeT f m -> m # foldMap :: Monoid m => (a -> m) -> MaybeT f a -> m # foldr :: (a -> b -> b) -> b -> MaybeT f a -> b # foldr' :: (a -> b -> b) -> b -> MaybeT f a -> b # foldl :: (b -> a -> b) -> b -> MaybeT f a -> b # foldl' :: (b -> a -> b) -> b -> MaybeT f a -> b # foldr1 :: (a -> a -> a) -> MaybeT f a -> a # foldl1 :: (a -> a -> a) -> MaybeT f a -> a # elem :: Eq a => a -> MaybeT f a -> Bool # maximum :: Ord a => MaybeT f a -> a # minimum :: Ord a => MaybeT f a -> a # | |
| Foldable (HashMap k) | |
Defined in Data.HashMap.Internal Methods fold :: Monoid m => HashMap k m -> m # foldMap :: Monoid m => (a -> m) -> HashMap k a -> m # foldr :: (a -> b -> b) -> b -> HashMap k a -> b # foldr' :: (a -> b -> b) -> b -> HashMap k a -> b # foldl :: (b -> a -> b) -> b -> HashMap k a -> b # foldl' :: (b -> a -> b) -> b -> HashMap k a -> b # foldr1 :: (a -> a -> a) -> HashMap k a -> a # foldl1 :: (a -> a -> a) -> HashMap k a -> a # toList :: HashMap k a -> [a] # length :: HashMap k a -> Int # elem :: Eq a => a -> HashMap k a -> Bool # maximum :: Ord a => HashMap k a -> a # minimum :: Ord a => HashMap k a -> a # | |
| Foldable 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 # foldr :: (a -> b -> b) -> b -> Rec1 f a -> b # foldr' :: (a -> b -> b) -> b -> Rec1 f a -> b # foldl :: (b -> a -> b) -> b -> Rec1 f a -> b # foldl' :: (b -> a -> b) -> b -> Rec1 f a -> b # foldr1 :: (a -> a -> a) -> Rec1 f a -> a # foldl1 :: (a -> a -> a) -> Rec1 f a -> a # elem :: Eq a => a -> Rec1 f a -> Bool # maximum :: Ord a => Rec1 f a -> a # minimum :: Ord a => Rec1 f a -> a # | |
| Foldable (URec Char :: Type -> Type) | Since: base-4.9.0.0 |
Defined in Data.Foldable Methods fold :: Monoid m => URec Char m -> m # foldMap :: Monoid m => (a -> m) -> URec Char a -> m # foldr :: (a -> b -> b) -> b -> URec Char a -> b # foldr' :: (a -> b -> b) -> b -> URec Char a -> b # foldl :: (b -> a -> b) -> b -> URec Char a -> b # foldl' :: (b -> a -> b) -> b -> URec Char a -> b # foldr1 :: (a -> a -> a) -> URec Char a -> a # foldl1 :: (a -> a -> a) -> URec Char a -> a # toList :: URec Char a -> [a] # length :: URec Char a -> Int # elem :: Eq a => a -> URec Char a -> Bool # maximum :: Ord a => URec Char a -> a # minimum :: Ord a => URec Char a -> a # | |
| Foldable (URec Double :: Type -> Type) | Since: base-4.9.0.0 |
Defined in Data.Foldable Methods fold :: Monoid m => URec Double m -> m # foldMap :: Monoid m => (a -> m) -> URec Double a -> m # foldr :: (a -> b -> b) -> b -> URec Double a -> b # foldr' :: (a -> b -> b) -> b -> URec Double a -> b # foldl :: (b -> a -> b) -> b -> URec Double a -> b # foldl' :: (b -> a -> b) -> b -> URec Double a -> b # foldr1 :: (a -> a -> a) -> URec Double a -> a # foldl1 :: (a -> a -> a) -> URec Double a -> a # toList :: URec Double a -> [a] # null :: URec Double a -> Bool # length :: URec Double a -> Int # elem :: Eq a => a -> URec Double a -> Bool # maximum :: Ord a => URec Double a -> a # minimum :: Ord a => URec Double a -> a # | |
| Foldable (URec Float :: Type -> Type) | Since: base-4.9.0.0 |
Defined in Data.Foldable Methods fold :: Monoid m => URec Float m -> m # foldMap :: Monoid m => (a -> m) -> URec Float a -> m # foldr :: (a -> b -> b) -> b -> URec Float a -> b # foldr' :: (a -> b -> b) -> b -> URec Float a -> b # foldl :: (b -> a -> b) -> b -> URec Float a -> b # foldl' :: (b -> a -> b) -> b -> URec Float a -> b # foldr1 :: (a -> a -> a) -> URec Float a -> a # foldl1 :: (a -> a -> a) -> URec Float a -> a # toList :: URec Float a -> [a] # null :: URec Float a -> Bool # length :: URec Float a -> Int # elem :: Eq a => a -> URec Float a -> Bool # maximum :: Ord a => URec Float a -> a # minimum :: Ord a => URec Float a -> a # | |
| Foldable (URec Int :: Type -> Type) | Since: base-4.9.0.0 |
Defined in Data.Foldable Methods fold :: Monoid m => URec Int m -> m # foldMap :: Monoid m => (a -> m) -> URec Int a -> m # foldr :: (a -> b -> b) -> b -> URec Int a -> b # foldr' :: (a -> b -> b) -> b -> URec Int a -> b # foldl :: (b -> a -> b) -> b -> URec Int a -> b # foldl' :: (b -> a -> b) -> b -> URec Int a -> b # foldr1 :: (a -> a -> a) -> URec Int a -> a # foldl1 :: (a -> a -> a) -> URec Int a -> a # elem :: Eq a => a -> URec Int a -> Bool # maximum :: Ord a => URec Int a -> a # minimum :: Ord a => URec Int a -> a # | |
| Foldable (URec Word :: Type -> Type) | Since: base-4.9.0.0 |
Defined in Data.Foldable Methods fold :: Monoid m => URec Word m -> m # foldMap :: Monoid m => (a -> m) -> URec Word a -> m # foldr :: (a -> b -> b) -> b -> URec Word a -> b # foldr' :: (a -> b -> b) -> b -> URec Word a -> b # foldl :: (b -> a -> b) -> b -> URec Word a -> b # foldl' :: (b -> a -> b) -> b -> URec Word a -> b # foldr1 :: (a -> a -> a) -> URec Word a -> a # foldl1 :: (a -> a -> a) -> URec Word a -> a # toList :: URec Word a -> [a] # length :: URec Word a -> Int # elem :: Eq a => a -> URec Word a -> Bool # maximum :: Ord a => URec Word a -> a # minimum :: Ord a => URec Word a -> a # | |
| Foldable (URec (Ptr ()) :: Type -> Type) | Since: base-4.9.0.0 |
Defined in Data.Foldable Methods fold :: Monoid m => URec (Ptr ()) m -> m # foldMap :: Monoid m => (a -> m) -> URec (Ptr ()) a -> m # foldr :: (a -> b -> b) -> b -> URec (Ptr ()) a -> b # foldr' :: (a -> b -> b) -> b -> URec (Ptr ()) a -> b # foldl :: (b -> a -> b) -> b -> URec (Ptr ()) a -> b # foldl' :: (b -> a -> b) -> b -> URec (Ptr ()) a -> b # foldr1 :: (a -> a -> a) -> URec (Ptr ()) a -> a # foldl1 :: (a -> a -> a) -> URec (Ptr ()) a -> a # toList :: URec (Ptr ()) a -> [a] # null :: URec (Ptr ()) a -> Bool # length :: URec (Ptr ()) a -> Int # elem :: Eq a => a -> URec (Ptr ()) a -> Bool # maximum :: Ord a => URec (Ptr ()) a -> a # minimum :: Ord a => URec (Ptr ()) a -> a # | |
| Foldable (Const m :: 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 # 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 # 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 # 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 (IdentityT f) | |
Defined in Control.Monad.Trans.Identity Methods fold :: Monoid m => IdentityT f m -> m # foldMap :: Monoid m => (a -> m) -> IdentityT f a -> m # foldr :: (a -> b -> b) -> b -> IdentityT f a -> b # foldr' :: (a -> b -> b) -> b -> IdentityT f a -> b # foldl :: (b -> a -> b) -> b -> IdentityT f a -> b # foldl' :: (b -> a -> b) -> b -> IdentityT f a -> b # foldr1 :: (a -> a -> a) -> IdentityT f a -> a # foldl1 :: (a -> a -> a) -> IdentityT f a -> a # toList :: IdentityT f a -> [a] # null :: IdentityT f a -> Bool # length :: IdentityT f a -> Int # elem :: Eq a => a -> IdentityT f a -> Bool # maximum :: Ord a => IdentityT f a -> a # minimum :: Ord a => IdentityT f a -> a # | |
| Foldable f => Foldable (ErrorT e f) | |
Defined in Control.Monad.Trans.Error Methods fold :: Monoid m => ErrorT e f m -> m # foldMap :: Monoid m => (a -> m) -> ErrorT e f a -> m # foldr :: (a -> b -> b) -> b -> ErrorT e f a -> b # foldr' :: (a -> b -> b) -> b -> ErrorT e f a -> b # foldl :: (b -> a -> b) -> b -> ErrorT e f a -> b # foldl' :: (b -> a -> b) -> b -> ErrorT e f a -> b # foldr1 :: (a -> a -> a) -> ErrorT e f a -> a # foldl1 :: (a -> a -> a) -> ErrorT e f a -> a # toList :: ErrorT e f a -> [a] # null :: ErrorT e f a -> Bool # length :: ErrorT e f a -> Int # elem :: Eq a => a -> ErrorT e f a -> Bool # maximum :: Ord a => ErrorT e f a -> a # minimum :: Ord a => ErrorT e f a -> a # | |
| Foldable f => Foldable (ExceptT e f) | |
Defined in Control.Monad.Trans.Except Methods fold :: Monoid m => ExceptT e f m -> m # foldMap :: Monoid m => (a -> m) -> ExceptT e f a -> m # foldr :: (a -> b -> b) -> b -> ExceptT e f a -> b # foldr' :: (a -> b -> b) -> b -> ExceptT e f a -> b # foldl :: (b -> a -> b) -> b -> ExceptT e f a -> b # foldl' :: (b -> a -> b) -> b -> ExceptT e f a -> b # foldr1 :: (a -> a -> a) -> ExceptT e f a -> a # foldl1 :: (a -> a -> a) -> ExceptT e f a -> a # toList :: ExceptT e f a -> [a] # null :: ExceptT e f a -> Bool # length :: ExceptT e f a -> Int # elem :: Eq a => a -> ExceptT e f a -> Bool # maximum :: Ord a => ExceptT e f a -> a # minimum :: Ord a => ExceptT e f a -> a # | |
| Foldable (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 # foldr :: (a -> b -> b) -> b -> K1 i c a -> b # foldr' :: (a -> b -> b) -> b -> K1 i c a -> b # foldl :: (b -> a -> b) -> b -> K1 i c a -> b # foldl' :: (b -> a -> b) -> b -> K1 i c a -> b # foldr1 :: (a -> a -> a) -> K1 i c a -> a # foldl1 :: (a -> a -> a) -> K1 i c a -> a # elem :: Eq a => a -> K1 i c a -> Bool # maximum :: Ord a => K1 i c a -> a # minimum :: Ord a => K1 i c a -> a # | |
| (Foldable f, Foldable g) => Foldable (f :+: g) | 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 # 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 # 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 # foldr :: (a -> b -> b) -> b -> M1 i c f a -> b # foldr' :: (a -> b -> b) -> b -> M1 i c f a -> b # foldl :: (b -> a -> b) -> b -> M1 i c f a -> b # foldl' :: (b -> a -> b) -> b -> M1 i c f a -> b # foldr1 :: (a -> a -> a) -> M1 i c f a -> a # foldl1 :: (a -> a -> a) -> M1 i c f a -> a # elem :: Eq a => a -> M1 i c f a -> Bool # maximum :: Ord a => M1 i c f a -> a # minimum :: Ord a => M1 i c f a -> a # | |
| (Foldable f, Foldable g) => Foldable (f :.: g) | 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 # foldr :: (a -> b -> b) -> b -> (f :.: g) a -> b # foldr' :: (a -> b -> b) -> b -> (f :.: g) a -> b # foldl :: (b -> a -> b) -> b -> (f :.: g) a -> b # foldl' :: (b -> a -> b) -> b -> (f :.: g) a -> b # foldr1 :: (a -> a -> a) -> (f :.: g) a -> a # foldl1 :: (a -> a -> a) -> (f :.: g) a -> a # toList :: (f :.: g) a -> [a] # length :: (f :.: g) a -> Int # elem :: Eq a => a -> (f :.: g) a -> Bool # maximum :: Ord a => (f :.: g) a -> a # minimum :: Ord a => (f :.: g) a -> a # | |
| (Foldable f, Foldable g) => Foldable (Compose f g) | Since: base-4.9.0.0 |
Defined in Data.Functor.Compose Methods fold :: Monoid m => Compose f g m -> m # foldMap :: Monoid m => (a -> m) -> Compose f g a -> m # foldr :: (a -> b -> b) -> b -> Compose f g a -> b # foldr' :: (a -> b -> b) -> b -> Compose f g a -> b # foldl :: (b -> a -> b) -> b -> Compose f g a -> b # foldl' :: (b -> a -> b) -> b -> Compose f g a -> b # foldr1 :: (a -> a -> a) -> Compose f g a -> a # foldl1 :: (a -> a -> a) -> Compose f g a -> a # toList :: Compose f g a -> [a] # null :: Compose f g a -> Bool # length :: Compose f g a -> Int # elem :: Eq a => a -> Compose f g a -> Bool # maximum :: Ord a => Compose f g a -> a # minimum :: Ord a => Compose f g a -> a # | |
class (Functor t, Foldable t) => Traversable (t :: Type -> Type) where #
Functors representing data structures that can be traversed from left to right.
A definition of traverse must satisfy the following laws:
- naturality
t .for every applicative transformationtraversef =traverse(t . f)t- identity
traverseIdentity = Identity- composition
traverse(Compose .fmapg . f) = Compose .fmap(traverseg) .traversef
A definition of sequenceA must satisfy the following laws:
- naturality
t .for every applicative transformationsequenceA=sequenceA.fmaptt- identity
sequenceA.fmapIdentity = Identity- composition
sequenceA.fmapCompose = Compose .fmapsequenceA.sequenceA
where an applicative transformation is a function
t :: (Applicative f, Applicative g) => f a -> g a
preserving the Applicative operations, i.e.
and the identity functor Identity and composition of functors Compose
are defined as
newtype Identity a = Identity a
instance Functor Identity where
fmap f (Identity x) = Identity (f x)
instance Applicative Identity where
pure x = Identity x
Identity f <*> Identity x = Identity (f x)
newtype Compose f g a = Compose (f (g a))
instance (Functor f, Functor g) => Functor (Compose f g) where
fmap f (Compose x) = Compose (fmap (fmap f) x)
instance (Applicative f, Applicative g) => Applicative (Compose f g) where
pure x = Compose (pure (pure x))
Compose f <*> Compose x = Compose ((<*>) <$> f <*> x)(The naturality law is implied by parametricity.)
Instances are similar to Functor, e.g. given a data type
data Tree a = Empty | Leaf a | Node (Tree a) a (Tree a)
a suitable instance would be
instance Traversable Tree where traverse f Empty = pure Empty traverse f (Leaf x) = Leaf <$> f x traverse f (Node l k r) = Node <$> traverse f l <*> f k <*> traverse f r
This is suitable even for abstract types, as the laws for <*>
imply a form of associativity.
The superclass instances should satisfy the following:
- In the
Functorinstance,fmapshould be equivalent to traversal with the identity applicative functor (fmapDefault). - In the
Foldableinstance,foldMapshould be equivalent to traversal with a constant applicative functor (foldMapDefault).
Methods
traverse :: Applicative f => (a -> f b) -> t a -> f (t b) #
Map each element of a structure to an action, evaluate these actions
from left to right, and collect the results. For a version that ignores
the results see traverse_.
sequenceA :: Applicative f => t (f a) -> f (t a) #
Evaluate each action in the structure from left to right, and
collect the results. For a version that ignores the results
see sequenceA_.
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_.
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_.
Instances
Representable types of kind *.
This class is derivable in GHC with the DeriveGeneric flag on.
A Generic instance must satisfy the following laws:
from.to≡idto.from≡id
Instances
This class gives the integer associated with a type-level natural. There are instances of the class for every concrete literal: 0, 1, 2, etc.
Since: base-4.7.0.0
Minimal complete definition
natSing
The class of semigroups (types with an associative binary operation).
Instances should satisfy the associativity law:
Since: base-4.9.0.0
Minimal complete definition
Methods
(<>) :: a -> a -> a infixr 6 #
An associative operation.
Reduce a non-empty list with <>
The default definition should be sufficient, but this can be overridden for efficiency.
stimes :: Integral b => b -> a -> a #
Repeat a value n times.
Given that this works on a Semigroup it is allowed to fail if
you request 0 or fewer repetitions, and the default definition
will do so.
By making this a member of the class, idempotent semigroups
and monoids can upgrade this to execute in O(1) by
picking stimes = or stimesIdempotentstimes =
respectively.stimesIdempotentMonoid
Instances
| Semigroup Ordering | Since: base-4.9.0.0 |
| Semigroup () | Since: base-4.9.0.0 |
| Semigroup Void | Since: base-4.9.0.0 |
| Semigroup All | Since: base-4.9.0.0 |
| Semigroup Any | Since: base-4.9.0.0 |
| Semigroup ByteString | |
Defined in Data.ByteString.Lazy.Internal Methods (<>) :: ByteString -> ByteString -> ByteString # sconcat :: NonEmpty ByteString -> ByteString # stimes :: Integral b => b -> ByteString -> ByteString # | |
| Semigroup ByteString | |
Defined in Data.ByteString.Internal Methods (<>) :: ByteString -> ByteString -> ByteString # sconcat :: NonEmpty ByteString -> ByteString # stimes :: Integral b => b -> ByteString -> ByteString # | |
| Semigroup IntSet | Since: containers-0.5.7 |
| Semigroup Doc | |
| Semigroup ByteArray | |
| Semigroup String | |
| Semigroup [a] | Since: base-4.9.0.0 |
| Semigroup a => Semigroup (Maybe a) | Since: base-4.9.0.0 |
| Semigroup a => Semigroup (IO a) | Since: base-4.10.0.0 |
| Semigroup p => Semigroup (Par1 p) | Since: base-4.12.0.0 |
| Ord a => Semigroup (Min a) | Since: base-4.9.0.0 |
| Ord a => Semigroup (Max a) | Since: base-4.9.0.0 |
| Semigroup (First a) | Since: base-4.9.0.0 |
| Semigroup (Last 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 (Option a) | Since: base-4.9.0.0 |
| Semigroup a => Semigroup (Identity a) | Since: base-4.9.0.0 |
| Semigroup (First a) | Since: base-4.9.0.0 |
| Semigroup (Last a) | Since: base-4.9.0.0 |
| Semigroup a => Semigroup (Dual a) | Since: base-4.9.0.0 |
| Semigroup (Endo a) | Since: base-4.9.0.0 |
| Num a => Semigroup (Sum a) | Since: base-4.9.0.0 |
| Num a => Semigroup (Product a) | Since: base-4.9.0.0 |
| Semigroup a => Semigroup (Down a) | Since: base-4.11.0.0 |
| Semigroup (NonEmpty a) | Since: base-4.9.0.0 |
| Semigroup (IntMap a) | Since: containers-0.5.7 |
| Semigroup (Seq a) | Since: containers-0.5.7 |
| Ord a => Semigroup (Set a) | Since: containers-0.5.7 |
| Semigroup (Doc a) | |
| (Hashable a, Eq a) => Semigroup (HashSet a) | |
| Semigroup (Vector a) | |
| Prim a => Semigroup (Vector a) | |
| PrimType ty => Semigroup (Block ty) | |
| PrimType ty => Semigroup (UArray ty) | |
| Semigroup (CountOf ty) | |
| Semigroup (MergeSet a) | |
| Semigroup a => Semigroup (May a) | |
| Semigroup (Array a) | |
| Semigroup (PrimArray a) | |
| Semigroup (SmallArray a) | |
| Storable a => Semigroup (Vector a) | |
| Semigroup b => Semigroup (a -> b) | Since: base-4.9.0.0 |
| Semigroup (Either a b) | Since: base-4.9.0.0 |
| Semigroup (V1 p) | Since: base-4.12.0.0 |
| Semigroup (U1 p) | Since: base-4.12.0.0 |
| (Semigroup a, Semigroup b) => Semigroup (a, b) | Since: base-4.9.0.0 |
| Semigroup (Proxy s) | Since: base-4.9.0.0 |
| Ord k => Semigroup (Map k v) | |
| (Eq k, Hashable k) => Semigroup (HashMap k v) | |
| Semigroup a => Semigroup (Err e a) | |
| Applicative f => Semigroup (Traversed a f) | |
| Semigroup (f p) => Semigroup (Rec1 f p) | Since: base-4.12.0.0 |
| (Semigroup a, Semigroup b, Semigroup c) => Semigroup (a, b, c) | Since: base-4.9.0.0 |
| 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 |
| (Monad m, Semigroup r) => Semigroup (Effect m r a) | |
| Semigroup c => Semigroup (K1 i c p) | Since: base-4.12.0.0 |
| (Semigroup (f p), Semigroup (g p)) => Semigroup ((f :*: g) 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 p) => Semigroup (M1 i c f p) | Since: base-4.12.0.0 |
| Semigroup (f (g p)) => Semigroup ((f :.: g) p) | Since: base-4.12.0.0 |
| (Semigroup a, Semigroup b, Semigroup c, Semigroup d, Semigroup e) => Semigroup (a, b, c, d, e) | Since: base-4.9.0.0 |
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 laws:
x
<>mempty= xmempty<>x = xx(<>(y<>z) = (x<>y)<>zSemigrouplaw)mconcat=foldr'(<>)'mempty
The method names refer to the monoid of lists under concatenation, but there are many other instances.
Some types can be viewed as a monoid in more than one way,
e.g. both addition and multiplication on numbers.
In such cases we often define newtypes and make those instances
of Monoid, e.g. Sum and Product.
NOTE: Semigroup is a superclass of Monoid since base-4.11.0.0.
Minimal complete definition
Methods
Identity of mappend
An associative operation
NOTE: This method is redundant and has the default
implementation mappend = '(<>)'
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.
Instances
| Monoid Ordering | Since: base-2.1 |
| Monoid () | Since: base-2.1 |
| Monoid All | Since: base-2.1 |
| Monoid Any | Since: base-2.1 |
| Monoid ByteString | |
Defined in Data.ByteString.Lazy.Internal Methods mempty :: ByteString # mappend :: ByteString -> ByteString -> ByteString # mconcat :: [ByteString] -> ByteString # | |
| Monoid ByteString | |
Defined in Data.ByteString.Internal Methods mempty :: ByteString # mappend :: ByteString -> ByteString -> ByteString # mconcat :: [ByteString] -> ByteString # | |
| Monoid IntSet | |
| Monoid Doc | |
| Monoid ByteArray | |
| Monoid String | |
| Monoid [a] | Since: base-2.1 |
| Semigroup a => Monoid (Maybe a) | Lift a semigroup into Since 4.11.0: constraint on inner Since: base-2.1 |
| Monoid a => Monoid (IO a) | Since: base-4.9.0.0 |
| Monoid p => Monoid (Par1 p) | Since: base-4.12.0.0 |
| (Ord a, Bounded a) => Monoid (Min a) | Since: base-4.9.0.0 |
| (Ord a, Bounded a) => Monoid (Max 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 # | |
| Semigroup a => Monoid (Option a) | Since: base-4.9.0.0 |
| Monoid a => Monoid (Identity a) | Since: base-4.9.0.0 |
| Monoid (First a) | Since: base-2.1 |
| Monoid (Last a) | Since: base-2.1 |
| Monoid a => Monoid (Dual a) | Since: base-2.1 |
| Monoid (Endo a) | Since: base-2.1 |
| Num a => Monoid (Sum a) | Since: base-2.1 |
| Num a => Monoid (Product a) | Since: base-2.1 |
| Monoid a => Monoid (Down a) | Since: base-4.11.0.0 |
| Monoid (IntMap a) | |
| Monoid (Seq a) | |
| Ord a => Monoid (Set a) | |
| Monoid (Doc a) | |
| (Hashable a, Eq a) => Monoid (HashSet a) | |
| Monoid (Vector a) | |
| Prim a => Monoid (Vector a) | |
| PrimType ty => Monoid (Block ty) | |
| PrimType ty => Monoid (UArray ty) | |
| Monoid (CountOf ty) | |
| Monoid (MergeSet a) | |
| Monoid a => Monoid (May a) | |
| Monoid (Array a) | |
| Monoid (PrimArray a) | |
| Monoid (SmallArray a) | |
| Storable a => Monoid (Vector a) | |
| Monoid b => Monoid (a -> b) | Since: base-2.1 |
| Monoid (U1 p) | Since: base-4.12.0.0 |
| (Monoid a, Monoid b) => Monoid (a, b) | Since: base-2.1 |
| Monoid (Proxy s) | Since: base-4.7.0.0 |
| Ord k => Monoid (Map k v) | |
| (Eq k, Hashable k) => Monoid (HashMap k v) | |
| Monoid a => Monoid (Err e a) | |
| Applicative f => Monoid (Traversed a f) | |
| Monoid (f p) => Monoid (Rec1 f p) | Since: base-4.12.0.0 |
| (Monoid a, Monoid b, Monoid c) => Monoid (a, b, c) | Since: base-2.1 |
| 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 |
| (Monad m, Monoid r) => Monoid (Effect m r a) | |
| Monoid c => Monoid (K1 i c p) | Since: base-4.12.0.0 |
| (Monoid (f p), Monoid (g p)) => Monoid ((f :*: g) 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 p) => Monoid (M1 i c f p) | Since: base-4.12.0.0 |
| Monoid (f (g p)) => Monoid ((f :.: g) p) | Since: base-4.12.0.0 |
| (Monoid a, Monoid b, Monoid c, Monoid d, Monoid e) => Monoid (a, b, c, d, e) | Since: base-2.1 |
Instances
| Bounded Bool | Since: base-2.1 |
| Enum Bool | Since: base-2.1 |
| Eq Bool | |
| Ord Bool | |
| Read Bool | Since: base-2.1 |
| Show Bool | Since: base-2.1 |
| Ix Bool | Since: base-2.1 |
| Generic Bool | |
| Lift Bool | |
| SingKind Bool | Since: base-4.9.0.0 |
Defined in GHC.Generics | |
| Bits Bool | Interpret Since: base-4.7.0.0 |
Defined in Data.Bits Methods (.&.) :: Bool -> Bool -> Bool # (.|.) :: Bool -> Bool -> Bool # complement :: Bool -> Bool # shift :: Bool -> Int -> Bool # rotate :: Bool -> Int -> Bool # setBit :: Bool -> Int -> Bool # clearBit :: Bool -> Int -> Bool # complementBit :: Bool -> Int -> Bool # testBit :: Bool -> Int -> Bool # bitSizeMaybe :: Bool -> Maybe Int # shiftL :: Bool -> Int -> Bool # unsafeShiftL :: Bool -> Int -> Bool # shiftR :: Bool -> Int -> Bool # unsafeShiftR :: Bool -> Int -> Bool # rotateL :: Bool -> Int -> Bool # | |
| FiniteBits Bool | Since: base-4.7.0.0 |
Defined in Data.Bits Methods finiteBitSize :: Bool -> Int # countLeadingZeros :: Bool -> Int # countTrailingZeros :: Bool -> Int # | |
| Binary Bool | |
| NFData Bool | |
Defined in Control.DeepSeq | |
| Hashable Bool | |
Defined in Data.Hashable.Class | |
| Unbox Bool | |
Defined in Data.Vector.Unboxed.Base | |
| Uniform Bool | |
Defined in System.Random.Internal | |
| UniformRange Bool | |
Defined in System.Random.Internal | |
| Signable Bool Source # | |
Defined in Data.Signable.Class Methods toBinary :: Bool -> ByteString Source # | |
| SingI False | Since: base-4.9.0.0 |
Defined in GHC.Generics | |
| SingI True | Since: base-4.9.0.0 |
Defined in GHC.Generics | |
| Vector Vector Bool | |
Defined in Data.Vector.Unboxed.Base Methods basicUnsafeFreeze :: PrimMonad m => Mutable Vector (PrimState m) Bool -> m (Vector Bool) basicUnsafeThaw :: PrimMonad m => Vector Bool -> m (Mutable Vector (PrimState m) Bool) basicLength :: Vector Bool -> Int basicUnsafeSlice :: Int -> Int -> Vector Bool -> Vector Bool basicUnsafeIndexM :: Monad m => Vector Bool -> Int -> m Bool basicUnsafeCopy :: PrimMonad m => Mutable Vector (PrimState m) Bool -> Vector Bool -> m () | |
| MVector MVector Bool | |
Defined in Data.Vector.Unboxed.Base Methods basicLength :: MVector s Bool -> Int basicUnsafeSlice :: Int -> Int -> MVector s Bool -> MVector s Bool basicOverlaps :: MVector s Bool -> MVector s Bool -> Bool basicUnsafeNew :: PrimMonad m => Int -> m (MVector (PrimState m) Bool) basicInitialize :: PrimMonad m => MVector (PrimState m) Bool -> m () basicUnsafeReplicate :: PrimMonad m => Int -> Bool -> m (MVector (PrimState m) Bool) basicUnsafeRead :: PrimMonad m => MVector (PrimState m) Bool -> Int -> m Bool basicUnsafeWrite :: PrimMonad m => MVector (PrimState m) Bool -> Int -> Bool -> m () basicClear :: PrimMonad m => MVector (PrimState m) Bool -> m () basicSet :: PrimMonad m => MVector (PrimState m) Bool -> Bool -> m () basicUnsafeCopy :: PrimMonad m => MVector (PrimState m) Bool -> MVector (PrimState m) Bool -> m () basicUnsafeMove :: PrimMonad m => MVector (PrimState m) Bool -> MVector (PrimState m) Bool -> m () basicUnsafeGrow :: PrimMonad m => MVector (PrimState m) Bool -> Int -> m (MVector (PrimState m) Bool) | |
| type Rep Bool | Since: base-4.6.0.0 |
| data Sing (a :: Bool) | |
| type DemoteRep Bool | |
Defined in GHC.Generics | |
| newtype Vector Bool | |
Defined in Data.Vector.Unboxed.Base | |
| newtype MVector s Bool | |
Defined in Data.Vector.Unboxed.Base | |
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
| Bounded Char | Since: base-2.1 |
| Enum Char | Since: base-2.1 |
| Eq Char | |
| Ord Char | |
| Read Char | Since: base-2.1 |
| Show Char | Since: base-2.1 |
| Ix Char | Since: base-2.1 |
| Lift Char | |
| Binary Char | |
| NFData Char | |
Defined in Control.DeepSeq | |
| ErrorList Char | |
Defined in Control.Monad.Trans.Error | |
| Hashable Char | |
Defined in Data.Hashable.Class | |
| ToLText String | |
Defined in Universum.String.Conversion | |
| ToString String | |
Defined in Universum.String.Conversion | |
| ToText String | |
Defined in Universum.String.Conversion | |
| Unbox Char | |
Defined in Data.Vector.Unboxed.Base | |
| PrimType Char | |
Defined in Basement.PrimType Methods primSizeInBytes :: Proxy Char -> CountOf Word8 primShiftToBytes :: Proxy Char -> Int primBaUIndex :: ByteArray# -> Offset Char -> Char primMbaURead :: PrimMonad prim => MutableByteArray# (PrimState prim) -> Offset Char -> prim Char primMbaUWrite :: PrimMonad prim => MutableByteArray# (PrimState prim) -> Offset Char -> Char -> prim () primAddrIndex :: Addr# -> Offset Char -> Char primAddrRead :: PrimMonad prim => Addr# -> Offset Char -> prim Char primAddrWrite :: PrimMonad prim => Addr# -> Offset Char -> Char -> prim () | |
| PrimMemoryComparable Char | |
Defined in Basement.PrimType | |
| Subtractive Char | |
| Uniform Char | |
Defined in System.Random.Internal | |
| UniformRange Char | |
Defined in System.Random.Internal | |
| ConvertUtf8 String ByteString | |
Defined in Universum.String.Conversion Methods encodeUtf8 :: String -> ByteString # decodeUtf8 :: ByteString -> String # decodeUtf8Strict :: ByteString -> Either UnicodeException String # | |
| ConvertUtf8 String ByteString | |
Defined in Universum.String.Conversion Methods encodeUtf8 :: String -> ByteString # decodeUtf8 :: ByteString -> String # decodeUtf8Strict :: ByteString -> Either UnicodeException String # | |
| Vector Vector Char | |
Defined in Data.Vector.Unboxed.Base Methods basicUnsafeFreeze :: PrimMonad m => Mutable Vector (PrimState m) Char -> m (Vector Char) basicUnsafeThaw :: PrimMonad m => Vector Char -> m (Mutable Vector (PrimState m) Char) basicLength :: Vector Char -> Int basicUnsafeSlice :: Int -> Int -> Vector Char -> Vector Char basicUnsafeIndexM :: Monad m => Vector Char -> Int -> m Char basicUnsafeCopy :: PrimMonad m => Mutable Vector (PrimState m) Char -> Vector Char -> m () | |
| 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 :: PrimMonad m => Int -> m (MVector (PrimState m) Char) basicInitialize :: PrimMonad m => MVector (PrimState m) Char -> m () basicUnsafeReplicate :: PrimMonad m => Int -> Char -> m (MVector (PrimState m) Char) basicUnsafeRead :: PrimMonad m => MVector (PrimState m) Char -> Int -> m Char basicUnsafeWrite :: PrimMonad m => MVector (PrimState m) Char -> Int -> Char -> m () basicClear :: PrimMonad m => MVector (PrimState m) Char -> m () basicSet :: PrimMonad m => MVector (PrimState m) Char -> Char -> m () basicUnsafeCopy :: PrimMonad m => MVector (PrimState m) Char -> MVector (PrimState m) Char -> m () basicUnsafeMove :: PrimMonad m => MVector (PrimState m) Char -> MVector (PrimState m) Char -> m () basicUnsafeGrow :: PrimMonad m => MVector (PrimState m) Char -> Int -> m (MVector (PrimState m) Char) | |
| Generic1 (URec Char :: k -> Type) | |
| Print [Char] | |
| Functor (URec Char :: Type -> Type) | Since: base-4.9.0.0 |
| Foldable (URec Char :: Type -> Type) | Since: base-4.9.0.0 |
Defined in Data.Foldable Methods fold :: Monoid m => URec Char m -> m # foldMap :: Monoid m => (a -> m) -> URec Char a -> m # foldr :: (a -> b -> b) -> b -> URec Char a -> b # foldr' :: (a -> b -> b) -> b -> URec Char a -> b # foldl :: (b -> a -> b) -> b -> URec Char a -> b # foldl' :: (b -> a -> b) -> b -> URec Char a -> b # foldr1 :: (a -> a -> a) -> URec Char a -> a # foldl1 :: (a -> a -> a) -> URec Char a -> a # toList :: URec Char a -> [a] # length :: URec Char a -> Int # elem :: Eq a => a -> URec Char a -> Bool # maximum :: Ord a => URec Char a -> a # minimum :: Ord a => URec Char a -> a # | |
| Traversable (URec Char :: Type -> Type) | Since: base-4.9.0.0 |
Defined in Data.Traversable | |
| Eq (URec Char p) | Since: base-4.9.0.0 |
| Ord (URec Char p) | Since: base-4.9.0.0 |
Defined in GHC.Generics | |
| Show (URec Char p) | Since: base-4.9.0.0 |
| Generic (URec Char p) | |
| newtype Vector Char | |
Defined in Data.Vector.Unboxed.Base | |
| type NatNumMaxBound Char | |
Defined in Basement.Nat type NatNumMaxBound Char = 1114111 | |
| type Difference Char | |
Defined in Basement.Numerical.Subtractive | |
| type PrimSize Char | |
Defined in Basement.PrimType type PrimSize Char = 4 | |
| data URec Char (p :: k) | Used for marking occurrences of Since: base-4.9.0.0 |
| newtype MVector s Char | |
Defined in Data.Vector.Unboxed.Base | |
| 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
| Eq Double | Note that due to the presence of
Also note that
|
| Floating Double | Since: base-2.1 |
| Ord Double | Note that due to the presence of
Also note that, due to the same,
|
| Read 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 # | |
| Lift Double | |
| Binary Double | |
| NFData Double | |
Defined in Control.DeepSeq | |
| Hashable Double | |
Defined in Data.Hashable.Class | |
| Unbox Double | |
Defined in Data.Vector.Unboxed.Base | |
| PrimType Double | |
Defined in Basement.PrimType Methods primSizeInBytes :: Proxy Double -> CountOf Word8 primShiftToBytes :: Proxy Double -> Int primBaUIndex :: ByteArray# -> Offset Double -> Double primMbaURead :: PrimMonad prim => MutableByteArray# (PrimState prim) -> Offset Double -> prim Double primMbaUWrite :: PrimMonad prim => MutableByteArray# (PrimState prim) -> Offset Double -> Double -> prim () primAddrIndex :: Addr# -> Offset Double -> Double primAddrRead :: PrimMonad prim => Addr# -> Offset Double -> prim Double primAddrWrite :: PrimMonad prim => Addr# -> Offset Double -> Double -> prim () | |
| Subtractive Double | |
| UniformRange Double | |
Defined in System.Random.Internal | |
| Signable Double Source # | |
Defined in Data.Signable.Class Methods toBinary :: Double -> ByteString Source # | |
| Vector Vector Double | |
Defined in Data.Vector.Unboxed.Base Methods basicUnsafeFreeze :: PrimMonad m => Mutable Vector (PrimState m) Double -> m (Vector Double) basicUnsafeThaw :: PrimMonad m => Vector Double -> m (Mutable Vector (PrimState m) Double) basicLength :: Vector Double -> Int basicUnsafeSlice :: Int -> Int -> Vector Double -> Vector Double basicUnsafeIndexM :: Monad m => Vector Double -> Int -> m Double basicUnsafeCopy :: PrimMonad m => Mutable Vector (PrimState m) Double -> Vector Double -> m () | |
| 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 :: PrimMonad m => Int -> m (MVector (PrimState m) Double) basicInitialize :: PrimMonad m => MVector (PrimState m) Double -> m () basicUnsafeReplicate :: PrimMonad m => Int -> Double -> m (MVector (PrimState m) Double) basicUnsafeRead :: PrimMonad m => MVector (PrimState m) Double -> Int -> m Double basicUnsafeWrite :: PrimMonad m => MVector (PrimState m) Double -> Int -> Double -> m () basicClear :: PrimMonad m => MVector (PrimState m) Double -> m () basicSet :: PrimMonad m => MVector (PrimState m) Double -> Double -> m () basicUnsafeCopy :: PrimMonad m => MVector (PrimState m) Double -> MVector (PrimState m) Double -> m () basicUnsafeMove :: PrimMonad m => MVector (PrimState m) Double -> MVector (PrimState m) Double -> m () basicUnsafeGrow :: PrimMonad m => MVector (PrimState m) Double -> Int -> m (MVector (PrimState m) Double) | |
| Generic1 (URec Double :: k -> Type) | |
| Functor (URec Double :: Type -> Type) | Since: base-4.9.0.0 |
| Foldable (URec Double :: Type -> Type) | Since: base-4.9.0.0 |
Defined in Data.Foldable Methods fold :: Monoid m => URec Double m -> m # foldMap :: Monoid m => (a -> m) -> URec Double a -> m # foldr :: (a -> b -> b) -> b -> URec Double a -> b # foldr' :: (a -> b -> b) -> b -> URec Double a -> b # foldl :: (b -> a -> b) -> b -> URec Double a -> b # foldl' :: (b -> a -> b) -> b -> URec Double a -> b # foldr1 :: (a -> a -> a) -> URec Double a -> a # foldl1 :: (a -> a -> a) -> URec Double a -> a # toList :: URec Double a -> [a] # null :: URec Double a -> Bool # length :: URec Double a -> Int # elem :: Eq a => a -> URec Double a -> Bool # maximum :: Ord a => URec Double a -> a # minimum :: Ord a => URec Double a -> a # | |
| Traversable (URec Double :: Type -> Type) | Since: base-4.9.0.0 |
Defined in Data.Traversable | |
| 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 # | |
| Show (URec Double p) | Since: base-4.9.0.0 |
| Generic (URec Double p) | |
| newtype Vector Double | |
Defined in Data.Vector.Unboxed.Base | |
| type Difference Double | |
Defined in Basement.Numerical.Subtractive | |
| type PrimSize Double | |
Defined in Basement.PrimType type PrimSize Double = 8 | |
| data URec Double (p :: k) | Used for marking occurrences of Since: base-4.9.0.0 |
| newtype MVector s Double | |
Defined in Data.Vector.Unboxed.Base | |
| 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
| Eq Float | Note that due to the presence of
Also note that
|
| Floating Float | Since: base-2.1 |
| Ord Float | Note that due to the presence of
Also note that, due to the same,
|
| Read 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 # | |
| Lift Float | |
| Binary Float | |
| NFData Float | |
Defined in Control.DeepSeq | |
| Hashable Float | |
Defined in Data.Hashable.Class | |
| Unbox Float | |
Defined in Data.Vector.Unboxed.Base | |
| PrimType Float | |
Defined in Basement.PrimType Methods primSizeInBytes :: Proxy Float -> CountOf Word8 primShiftToBytes :: Proxy Float -> Int primBaUIndex :: ByteArray# -> Offset Float -> Float primMbaURead :: PrimMonad prim => MutableByteArray# (PrimState prim) -> Offset Float -> prim Float primMbaUWrite :: PrimMonad prim => MutableByteArray# (PrimState prim) -> Offset Float -> Float -> prim () primAddrIndex :: Addr# -> Offset Float -> Float primAddrRead :: PrimMonad prim => Addr# -> Offset Float -> prim Float primAddrWrite :: PrimMonad prim => Addr# -> Offset Float -> Float -> prim () | |
| Subtractive Float | |
| UniformRange Float | |
Defined in System.Random.Internal | |
| Signable Float Source # | |
Defined in Data.Signable.Class Methods toBinary :: Float -> ByteString Source # | |
| Vector Vector Float | |
Defined in Data.Vector.Unboxed.Base Methods basicUnsafeFreeze :: PrimMonad m => Mutable Vector (PrimState m) Float -> m (Vector Float) basicUnsafeThaw :: PrimMonad m => Vector Float -> m (Mutable Vector (PrimState m) Float) basicLength :: Vector Float -> Int basicUnsafeSlice :: Int -> Int -> Vector Float -> Vector Float basicUnsafeIndexM :: Monad m => Vector Float -> Int -> m Float basicUnsafeCopy :: PrimMonad m => Mutable Vector (PrimState m) Float -> Vector Float -> m () | |
| 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 :: PrimMonad m => Int -> m (MVector (PrimState m) Float) basicInitialize :: PrimMonad m => MVector (PrimState m) Float -> m () basicUnsafeReplicate :: PrimMonad m => Int -> Float -> m (MVector (PrimState m) Float) basicUnsafeRead :: PrimMonad m => MVector (PrimState m) Float -> Int -> m Float basicUnsafeWrite :: PrimMonad m => MVector (PrimState m) Float -> Int -> Float -> m () basicClear :: PrimMonad m => MVector (PrimState m) Float -> m () basicSet :: PrimMonad m => MVector (PrimState m) Float -> Float -> m () basicUnsafeCopy :: PrimMonad m => MVector (PrimState m) Float -> MVector (PrimState m) Float -> m () basicUnsafeMove :: PrimMonad m => MVector (PrimState m) Float -> MVector (PrimState m) Float -> m () basicUnsafeGrow :: PrimMonad m => MVector (PrimState m) Float -> Int -> m (MVector (PrimState m) Float) | |
| Generic1 (URec Float :: k -> Type) | |
| Functor (URec Float :: Type -> Type) | Since: base-4.9.0.0 |
| Foldable (URec Float :: Type -> Type) | Since: base-4.9.0.0 |
Defined in Data.Foldable Methods fold :: Monoid m => URec Float m -> m # foldMap :: Monoid m => (a -> m) -> URec Float a -> m # foldr :: (a -> b -> b) -> b -> URec Float a -> b # foldr' :: (a -> b -> b) -> b -> URec Float a -> b # foldl :: (b -> a -> b) -> b -> URec Float a -> b # foldl' :: (b -> a -> b) -> b -> URec Float a -> b # foldr1 :: (a -> a -> a) -> URec Float a -> a # foldl1 :: (a -> a -> a) -> URec Float a -> a # toList :: URec Float a -> [a] # null :: URec Float a -> Bool # length :: URec Float a -> Int # elem :: Eq a => a -> URec Float a -> Bool # maximum :: Ord a => URec Float a -> a # minimum :: Ord a => URec Float a -> a # | |
| Traversable (URec Float :: Type -> Type) | Since: base-4.9.0.0 |
Defined in Data.Traversable | |
| Eq (URec Float p) | |
| Ord (URec Float p) | |
Defined in GHC.Generics | |
| Show (URec Float p) | |
| Generic (URec Float p) | |
| newtype Vector Float | |
Defined in Data.Vector.Unboxed.Base | |
| type Difference Float | |
Defined in Basement.Numerical.Subtractive | |
| type PrimSize Float | |
Defined in Basement.PrimType type PrimSize Float = 4 | |
| data URec Float (p :: k) | Used for marking occurrences of Since: base-4.9.0.0 |
| newtype MVector s Float | |
Defined in Data.Vector.Unboxed.Base | |
| 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
| Bounded Int | Since: base-2.1 |
| Enum Int | Since: base-2.1 |
| Eq Int | |
| Integral Int | Since: base-2.0.1 |
| Num Int | Since: base-2.1 |
| Ord Int | |
| Read Int | Since: base-2.1 |
| Real Int | Since: base-2.0.1 |
Defined in GHC.Real Methods toRational :: Int -> Rational # | |
| Show Int | Since: base-2.1 |
| Ix Int | Since: base-2.1 |
| Lift Int | |
| Bits Int | Since: base-2.1 |
Defined in Data.Bits | |
| FiniteBits Int | Since: base-4.6.0.0 |
Defined in Data.Bits Methods finiteBitSize :: Int -> Int # countLeadingZeros :: Int -> Int # countTrailingZeros :: Int -> Int # | |
| Binary Int | |
| NFData Int | |
Defined in Control.DeepSeq | |
| Hashable Int | |
Defined in Data.Hashable.Class | |
| Unbox Int | |
Defined in Data.Vector.Unboxed.Base | |
| PrimType Int | |
Defined in Basement.PrimType Methods primSizeInBytes :: Proxy Int -> CountOf Word8 primShiftToBytes :: Proxy Int -> Int primBaUIndex :: ByteArray# -> Offset Int -> Int primMbaURead :: PrimMonad prim => MutableByteArray# (PrimState prim) -> Offset Int -> prim Int primMbaUWrite :: PrimMonad prim => MutableByteArray# (PrimState prim) -> Offset Int -> Int -> prim () primAddrIndex :: Addr# -> Offset Int -> Int primAddrRead :: PrimMonad prim => Addr# -> Offset Int -> prim Int primAddrWrite :: PrimMonad prim => Addr# -> Offset Int -> Int -> prim () | |
| PrimMemoryComparable Int | |
Defined in Basement.PrimType | |
| Subtractive Int | |
| Uniform Int | |
Defined in System.Random.Internal | |
| UniformRange Int | |
Defined in System.Random.Internal | |
| Vector Vector Int | |
Defined in Data.Vector.Unboxed.Base Methods basicUnsafeFreeze :: PrimMonad m => Mutable Vector (PrimState m) Int -> m (Vector Int) basicUnsafeThaw :: PrimMonad m => Vector Int -> m (Mutable Vector (PrimState m) Int) basicLength :: Vector Int -> Int basicUnsafeSlice :: Int -> Int -> Vector Int -> Vector Int basicUnsafeIndexM :: Monad m => Vector Int -> Int -> m Int basicUnsafeCopy :: PrimMonad m => Mutable Vector (PrimState m) Int -> Vector Int -> m () | |
| MVector MVector Int | |
Defined in Data.Vector.Unboxed.Base Methods basicLength :: MVector s Int -> Int basicUnsafeSlice :: Int -> Int -> MVector s Int -> MVector s Int basicOverlaps :: MVector s Int -> MVector s Int -> Bool basicUnsafeNew :: PrimMonad m => Int -> m (MVector (PrimState m) Int) basicInitialize :: PrimMonad m => MVector (PrimState m) Int -> m () basicUnsafeReplicate :: PrimMonad m => Int -> Int -> m (MVector (PrimState m) Int) basicUnsafeRead :: PrimMonad m => MVector (PrimState m) Int -> Int -> m Int basicUnsafeWrite :: PrimMonad m => MVector (PrimState m) Int -> Int -> Int -> m () basicClear :: PrimMonad m => MVector (PrimState m) Int -> m () basicSet :: PrimMonad m => MVector (PrimState m) Int -> Int -> m () basicUnsafeCopy :: PrimMonad m => MVector (PrimState m) Int -> MVector (PrimState m) Int -> m () basicUnsafeMove :: PrimMonad m => MVector (PrimState m) Int -> MVector (PrimState m) Int -> m () basicUnsafeGrow :: PrimMonad m => MVector (PrimState m) Int -> Int -> m (MVector (PrimState m) Int) | |
| Generic1 (URec Int :: k -> Type) | |
| Functor (URec Int :: Type -> Type) | Since: base-4.9.0.0 |
| Foldable (URec Int :: Type -> Type) | Since: base-4.9.0.0 |
Defined in Data.Foldable Methods fold :: Monoid m => URec Int m -> m # foldMap :: Monoid m => (a -> m) -> URec Int a -> m # foldr :: (a -> b -> b) -> b -> URec Int a -> b # foldr' :: (a -> b -> b) -> b -> URec Int a -> b # foldl :: (b -> a -> b) -> b -> URec Int a -> b # foldl' :: (b -> a -> b) -> b -> URec Int a -> b # foldr1 :: (a -> a -> a) -> URec Int a -> a # foldl1 :: (a -> a -> a) -> URec Int a -> a # elem :: Eq a => a -> URec Int a -> Bool # maximum :: Ord a => URec Int a -> a # minimum :: Ord a => URec Int a -> a # | |
| Traversable (URec Int :: Type -> Type) | Since: base-4.9.0.0 |
| Eq (URec Int p) | Since: base-4.9.0.0 |
| Ord (URec Int p) | Since: base-4.9.0.0 |
| Show (URec Int p) | Since: base-4.9.0.0 |
| Generic (URec Int p) | |
| newtype Vector Int | |
Defined in Data.Vector.Unboxed.Base | |
| type NatNumMaxBound Int | |
Defined in Basement.Nat | |
| type Difference Int | |
Defined in Basement.Numerical.Subtractive | |
| type PrimSize Int | |
Defined in Basement.PrimType type PrimSize Int = 8 | |
| data URec Int (p :: k) | Used for marking occurrences of Since: base-4.9.0.0 |
| newtype MVector s Int | |
Defined in Data.Vector.Unboxed.Base | |
| type Rep1 (URec Int :: k -> Type) | Since: base-4.9.0.0 |
Defined in GHC.Generics | |
| type Rep (URec Int p) | Since: base-4.9.0.0 |
Defined in GHC.Generics | |
8-bit signed integer type
Instances
| Bounded Int8 | Since: base-2.1 |
| Enum Int8 | Since: base-2.1 |
| Eq Int8 | Since: base-2.1 |
| Integral Int8 | Since: base-2.1 |
| Num Int8 | Since: base-2.1 |
| Ord Int8 | Since: base-2.1 |
| Read Int8 | Since: base-2.1 |
| Real Int8 | Since: base-2.1 |
Defined in GHC.Int Methods toRational :: Int8 -> Rational # | |
| Show Int8 | Since: base-2.1 |
| Ix Int8 | Since: base-2.1 |
| Lift Int8 | |
| Bits Int8 | Since: base-2.1 |
Defined in GHC.Int Methods (.&.) :: Int8 -> Int8 -> Int8 # (.|.) :: Int8 -> Int8 -> Int8 # complement :: Int8 -> Int8 # shift :: Int8 -> Int -> Int8 # rotate :: Int8 -> Int -> Int8 # setBit :: Int8 -> Int -> Int8 # clearBit :: Int8 -> Int -> Int8 # complementBit :: Int8 -> Int -> Int8 # testBit :: Int8 -> Int -> Bool # bitSizeMaybe :: Int8 -> Maybe Int # shiftL :: Int8 -> Int -> Int8 # unsafeShiftL :: Int8 -> Int -> Int8 # shiftR :: Int8 -> Int -> Int8 # unsafeShiftR :: Int8 -> Int -> Int8 # rotateL :: Int8 -> Int -> Int8 # | |
| FiniteBits Int8 | Since: base-4.6.0.0 |
Defined in GHC.Int Methods finiteBitSize :: Int8 -> Int # countLeadingZeros :: Int8 -> Int # countTrailingZeros :: Int8 -> Int # | |
| Binary Int8 | |
| NFData Int8 | |
Defined in Control.DeepSeq | |
| Hashable Int8 | |
Defined in Data.Hashable.Class | |
| Unbox Int8 | |
Defined in Data.Vector.Unboxed.Base | |
| PrimType Int8 | |
Defined in Basement.PrimType Methods primSizeInBytes :: Proxy Int8 -> CountOf Word8 primShiftToBytes :: Proxy Int8 -> Int primBaUIndex :: ByteArray# -> Offset Int8 -> Int8 primMbaURead :: PrimMonad prim => MutableByteArray# (PrimState prim) -> Offset Int8 -> prim Int8 primMbaUWrite :: PrimMonad prim => MutableByteArray# (PrimState prim) -> Offset Int8 -> Int8 -> prim () primAddrIndex :: Addr# -> Offset Int8 -> Int8 primAddrRead :: PrimMonad prim => Addr# -> Offset Int8 -> prim Int8 primAddrWrite :: PrimMonad prim => Addr# -> Offset Int8 -> Int8 -> prim () | |
| PrimMemoryComparable Int8 | |
Defined in Basement.PrimType | |
| Subtractive Int8 | |
| Uniform Int8 | |
Defined in System.Random.Internal | |
| UniformRange Int8 | |
Defined in System.Random.Internal | |
| Vector Vector Int8 | |
Defined in Data.Vector.Unboxed.Base Methods basicUnsafeFreeze :: PrimMonad m => Mutable Vector (PrimState m) Int8 -> m (Vector Int8) basicUnsafeThaw :: PrimMonad m => Vector Int8 -> m (Mutable Vector (PrimState m) Int8) basicLength :: Vector Int8 -> Int basicUnsafeSlice :: Int -> Int -> Vector Int8 -> Vector Int8 basicUnsafeIndexM :: Monad m => Vector Int8 -> Int -> m Int8 basicUnsafeCopy :: PrimMonad m => Mutable Vector (PrimState m) Int8 -> Vector Int8 -> m () | |
| MVector MVector Int8 | |
Defined in Data.Vector.Unboxed.Base Methods basicLength :: MVector s Int8 -> Int basicUnsafeSlice :: Int -> Int -> MVector s Int8 -> MVector s Int8 basicOverlaps :: MVector s Int8 -> MVector s Int8 -> Bool basicUnsafeNew :: PrimMonad m => Int -> m (MVector (PrimState m) Int8) basicInitialize :: PrimMonad m => MVector (PrimState m) Int8 -> m () basicUnsafeReplicate :: PrimMonad m => Int -> Int8 -> m (MVector (PrimState m) Int8) basicUnsafeRead :: PrimMonad m => MVector (PrimState m) Int8 -> Int -> m Int8 basicUnsafeWrite :: PrimMonad m => MVector (PrimState m) Int8 -> Int -> Int8 -> m () basicClear :: PrimMonad m => MVector (PrimState m) Int8 -> m () basicSet :: PrimMonad m => MVector (PrimState m) Int8 -> Int8 -> m () basicUnsafeCopy :: PrimMonad m => MVector (PrimState m) Int8 -> MVector (PrimState m) Int8 -> m () basicUnsafeMove :: PrimMonad m => MVector (PrimState m) Int8 -> MVector (PrimState m) Int8 -> m () basicUnsafeGrow :: PrimMonad m => MVector (PrimState m) Int8 -> Int -> m (MVector (PrimState m) Int8) | |
| newtype Vector Int8 | |
Defined in Data.Vector.Unboxed.Base | |
| type NatNumMaxBound Int8 | |
Defined in Basement.Nat type NatNumMaxBound Int8 = 127 | |
| type Difference Int8 | |
Defined in Basement.Numerical.Subtractive | |
| type PrimSize Int8 | |
Defined in Basement.PrimType type PrimSize Int8 = 1 | |
| newtype MVector s Int8 | |
Defined in Data.Vector.Unboxed.Base | |
16-bit signed integer type
Instances
| Bounded Int16 | Since: base-2.1 |
| Enum Int16 | Since: base-2.1 |
| Eq Int16 | Since: base-2.1 |
| Integral Int16 | Since: base-2.1 |
| Num Int16 | Since: base-2.1 |
| Ord Int16 | Since: base-2.1 |
| Read Int16 | Since: base-2.1 |
| Real Int16 | Since: base-2.1 |
Defined in GHC.Int Methods toRational :: Int16 -> Rational # | |
| Show Int16 | Since: base-2.1 |
| Ix Int16 | Since: base-2.1 |
| Lift Int16 | |
| Bits Int16 | Since: base-2.1 |
Defined in GHC.Int Methods (.&.) :: Int16 -> Int16 -> Int16 # (.|.) :: Int16 -> Int16 -> Int16 # xor :: Int16 -> Int16 -> Int16 # complement :: Int16 -> Int16 # shift :: Int16 -> Int -> Int16 # rotate :: Int16 -> Int -> Int16 # setBit :: Int16 -> Int -> Int16 # clearBit :: Int16 -> Int -> Int16 # complementBit :: Int16 -> Int -> Int16 # testBit :: Int16 -> Int -> Bool # bitSizeMaybe :: Int16 -> Maybe Int # shiftL :: Int16 -> Int -> Int16 # unsafeShiftL :: Int16 -> Int -> Int16 # shiftR :: Int16 -> Int -> Int16 # unsafeShiftR :: Int16 -> Int -> Int16 # rotateL :: Int16 -> Int -> Int16 # | |
| FiniteBits Int16 | Since: base-4.6.0.0 |
Defined in GHC.Int Methods finiteBitSize :: Int16 -> Int # countLeadingZeros :: Int16 -> Int # countTrailingZeros :: Int16 -> Int # | |
| Binary Int16 | |
| NFData Int16 | |
Defined in Control.DeepSeq | |
| Hashable Int16 | |
Defined in Data.Hashable.Class | |
| Unbox Int16 | |
Defined in Data.Vector.Unboxed.Base | |
| PrimType Int16 | |
Defined in Basement.PrimType Methods primSizeInBytes :: Proxy Int16 -> CountOf Word8 primShiftToBytes :: Proxy Int16 -> Int primBaUIndex :: ByteArray# -> Offset Int16 -> Int16 primMbaURead :: PrimMonad prim => MutableByteArray# (PrimState prim) -> Offset Int16 -> prim Int16 primMbaUWrite :: PrimMonad prim => MutableByteArray# (PrimState prim) -> Offset Int16 -> Int16 -> prim () primAddrIndex :: Addr# -> Offset Int16 -> Int16 primAddrRead :: PrimMonad prim => Addr# -> Offset Int16 -> prim Int16 primAddrWrite :: PrimMonad prim => Addr# -> Offset Int16 -> Int16 -> prim () | |
| PrimMemoryComparable Int16 | |
Defined in Basement.PrimType | |
| Subtractive Int16 | |
| Uniform Int16 | |
Defined in System.Random.Internal | |
| UniformRange Int16 | |
Defined in System.Random.Internal | |
| Vector Vector Int16 | |
Defined in Data.Vector.Unboxed.Base Methods basicUnsafeFreeze :: PrimMonad m => Mutable Vector (PrimState m) Int16 -> m (Vector Int16) basicUnsafeThaw :: PrimMonad m => Vector Int16 -> m (Mutable Vector (PrimState m) Int16) basicLength :: Vector Int16 -> Int basicUnsafeSlice :: Int -> Int -> Vector Int16 -> Vector Int16 basicUnsafeIndexM :: Monad m => Vector Int16 -> Int -> m Int16 basicUnsafeCopy :: PrimMonad m => Mutable Vector (PrimState m) Int16 -> Vector Int16 -> m () | |
| MVector MVector Int16 | |
Defined in Data.Vector.Unboxed.Base Methods basicLength :: MVector s Int16 -> Int basicUnsafeSlice :: Int -> Int -> MVector s Int16 -> MVector s Int16 basicOverlaps :: MVector s Int16 -> MVector s Int16 -> Bool basicUnsafeNew :: PrimMonad m => Int -> m (MVector (PrimState m) Int16) basicInitialize :: PrimMonad m => MVector (PrimState m) Int16 -> m () basicUnsafeReplicate :: PrimMonad m => Int -> Int16 -> m (MVector (PrimState m) Int16) basicUnsafeRead :: PrimMonad m => MVector (PrimState m) Int16 -> Int -> m Int16 basicUnsafeWrite :: PrimMonad m => MVector (PrimState m) Int16 -> Int -> Int16 -> m () basicClear :: PrimMonad m => MVector (PrimState m) Int16 -> m () basicSet :: PrimMonad m => MVector (PrimState m) Int16 -> Int16 -> m () basicUnsafeCopy :: PrimMonad m => MVector (PrimState m) Int16 -> MVector (PrimState m) Int16 -> m () basicUnsafeMove :: PrimMonad m => MVector (PrimState m) Int16 -> MVector (PrimState m) Int16 -> m () basicUnsafeGrow :: PrimMonad m => MVector (PrimState m) Int16 -> Int -> m (MVector (PrimState m) Int16) | |
| newtype Vector Int16 | |
Defined in Data.Vector.Unboxed.Base | |
| type NatNumMaxBound Int16 | |
Defined in Basement.Nat type NatNumMaxBound Int16 = 32767 | |
| type Difference Int16 | |
Defined in Basement.Numerical.Subtractive | |
| type PrimSize Int16 | |
Defined in Basement.PrimType type PrimSize Int16 = 2 | |
| newtype MVector s Int16 | |
Defined in Data.Vector.Unboxed.Base | |
32-bit signed integer type
Instances
| Bounded Int32 | Since: base-2.1 |
| Enum Int32 | Since: base-2.1 |
| Eq Int32 | Since: base-2.1 |
| Integral Int32 | Since: base-2.1 |
| Num Int32 | Since: base-2.1 |
| Ord Int32 | Since: base-2.1 |
| Read Int32 | Since: base-2.1 |
| Real Int32 | Since: base-2.1 |
Defined in GHC.Int Methods toRational :: Int32 -> Rational # | |
| Show Int32 | Since: base-2.1 |
| Ix Int32 | Since: base-2.1 |
| Lift Int32 | |
| Bits Int32 | Since: base-2.1 |
Defined in GHC.Int Methods (.&.) :: Int32 -> Int32 -> Int32 # (.|.) :: Int32 -> Int32 -> Int32 # xor :: Int32 -> Int32 -> Int32 # complement :: Int32 -> Int32 # shift :: Int32 -> Int -> Int32 # rotate :: Int32 -> Int -> Int32 # setBit :: Int32 -> Int -> Int32 # clearBit :: Int32 -> Int -> Int32 # complementBit :: Int32 -> Int -> Int32 # testBit :: Int32 -> Int -> Bool # bitSizeMaybe :: Int32 -> Maybe Int # shiftL :: Int32 -> Int -> Int32 # unsafeShiftL :: Int32 -> Int -> Int32 # shiftR :: Int32 -> Int -> Int32 # unsafeShiftR :: Int32 -> Int -> Int32 # rotateL :: Int32 -> Int -> Int32 # | |
| FiniteBits Int32 | Since: base-4.6.0.0 |
Defined in GHC.Int Methods finiteBitSize :: Int32 -> Int # countLeadingZeros :: Int32 -> Int # countTrailingZeros :: Int32 -> Int # | |
| Binary Int32 | |
| NFData Int32 | |
Defined in Control.DeepSeq | |
| Hashable Int32 | |
Defined in Data.Hashable.Class | |
| Unbox Int32 | |
Defined in Data.Vector.Unboxed.Base | |
| PrimType Int32 | |
Defined in Basement.PrimType Methods primSizeInBytes :: Proxy Int32 -> CountOf Word8 primShiftToBytes :: Proxy Int32 -> Int primBaUIndex :: ByteArray# -> Offset Int32 -> Int32 primMbaURead :: PrimMonad prim => MutableByteArray# (PrimState prim) -> Offset Int32 -> prim Int32 primMbaUWrite :: PrimMonad prim => MutableByteArray# (PrimState prim) -> Offset Int32 -> Int32 -> prim () primAddrIndex :: Addr# -> Offset Int32 -> Int32 primAddrRead :: PrimMonad prim => Addr# -> Offset Int32 -> prim Int32 primAddrWrite :: PrimMonad prim => Addr# -> Offset Int32 -> Int32 -> prim () | |
| PrimMemoryComparable Int32 | |
Defined in Basement.PrimType | |
| Subtractive Int32 | |
| Uniform Int32 | |
Defined in System.Random.Internal | |
| UniformRange Int32 | |
Defined in System.Random.Internal | |
| Signable Int32 Source # | |
Defined in Data.Signable.Class Methods toBinary :: Int32 -> ByteString Source # | |
| Vector Vector Int32 | |
Defined in Data.Vector.Unboxed.Base Methods basicUnsafeFreeze :: PrimMonad m => Mutable Vector (PrimState m) Int32 -> m (Vector Int32) basicUnsafeThaw :: PrimMonad m => Vector Int32 -> m (Mutable Vector (PrimState m) Int32) basicLength :: Vector Int32 -> Int basicUnsafeSlice :: Int -> Int -> Vector Int32 -> Vector Int32 basicUnsafeIndexM :: Monad m => Vector Int32 -> Int -> m Int32 basicUnsafeCopy :: PrimMonad m => Mutable Vector (PrimState m) Int32 -> Vector Int32 -> m () | |
| MVector MVector Int32 | |
Defined in Data.Vector.Unboxed.Base Methods basicLength :: MVector s Int32 -> Int basicUnsafeSlice :: Int -> Int -> MVector s Int32 -> MVector s Int32 basicOverlaps :: MVector s Int32 -> MVector s Int32 -> Bool basicUnsafeNew :: PrimMonad m => Int -> m (MVector (PrimState m) Int32) basicInitialize :: PrimMonad m => MVector (PrimState m) Int32 -> m () basicUnsafeReplicate :: PrimMonad m => Int -> Int32 -> m (MVector (PrimState m) Int32) basicUnsafeRead :: PrimMonad m => MVector (PrimState m) Int32 -> Int -> m Int32 basicUnsafeWrite :: PrimMonad m => MVector (PrimState m) Int32 -> Int -> Int32 -> m () basicClear :: PrimMonad m => MVector (PrimState m) Int32 -> m () basicSet :: PrimMonad m => MVector (PrimState m) Int32 -> Int32 -> m () basicUnsafeCopy :: PrimMonad m => MVector (PrimState m) Int32 -> MVector (PrimState m) Int32 -> m () basicUnsafeMove :: PrimMonad m => MVector (PrimState m) Int32 -> MVector (PrimState m) Int32 -> m () basicUnsafeGrow :: PrimMonad m => MVector (PrimState m) Int32 -> Int -> m (MVector (PrimState m) Int32) | |
| newtype Vector Int32 | |
Defined in Data.Vector.Unboxed.Base | |
| type NatNumMaxBound Int32 | |
Defined in Basement.Nat type NatNumMaxBound Int32 = 2147483647 | |
| type Difference Int32 | |
Defined in Basement.Numerical.Subtractive | |
| type PrimSize Int32 | |
Defined in Basement.PrimType type PrimSize Int32 = 4 | |
| newtype MVector s Int32 | |
Defined in Data.Vector.Unboxed.Base | |
64-bit signed integer type
Instances
| Bounded Int64 | Since: base-2.1 |
| Enum Int64 | Since: base-2.1 |
| Eq Int64 | Since: base-2.1 |
| Integral Int64 | Since: base-2.1 |
| Num Int64 | Since: base-2.1 |
| Ord Int64 | Since: base-2.1 |
| Read Int64 | Since: base-2.1 |
| Real Int64 | Since: base-2.1 |
Defined in GHC.Int Methods toRational :: Int64 -> Rational # | |
| Show Int64 | Since: base-2.1 |
| Ix Int64 | Since: base-2.1 |
| Lift Int64 | |
| Bits Int64 | Since: base-2.1 |
Defined in GHC.Int Methods (.&.) :: Int64 -> Int64 -> Int64 # (.|.) :: Int64 -> Int64 -> Int64 # xor :: Int64 -> Int64 -> Int64 # complement :: Int64 -> Int64 # shift :: Int64 -> Int -> Int64 # rotate :: Int64 -> Int -> Int64 # setBit :: Int64 -> Int -> Int64 # clearBit :: Int64 -> Int -> Int64 # complementBit :: Int64 -> Int -> Int64 # testBit :: Int64 -> Int -> Bool # bitSizeMaybe :: Int64 -> Maybe Int # shiftL :: Int64 -> Int -> Int64 # unsafeShiftL :: Int64 -> Int -> Int64 # shiftR :: Int64 -> Int -> Int64 # unsafeShiftR :: Int64 -> Int -> Int64 # rotateL :: Int64 -> Int -> Int64 # | |
| FiniteBits Int64 | Since: base-4.6.0.0 |
Defined in GHC.Int Methods finiteBitSize :: Int64 -> Int # countLeadingZeros :: Int64 -> Int # countTrailingZeros :: Int64 -> Int # | |
| Binary Int64 | |
| NFData Int64 | |
Defined in Control.DeepSeq | |
| Hashable Int64 | |
Defined in Data.Hashable.Class | |
| Unbox Int64 | |
Defined in Data.Vector.Unboxed.Base | |
| PrimType Int64 | |
Defined in Basement.PrimType Methods primSizeInBytes :: Proxy Int64 -> CountOf Word8 primShiftToBytes :: Proxy Int64 -> Int primBaUIndex :: ByteArray# -> Offset Int64 -> Int64 primMbaURead :: PrimMonad prim => MutableByteArray# (PrimState prim) -> Offset Int64 -> prim Int64 primMbaUWrite :: PrimMonad prim => MutableByteArray# (PrimState prim) -> Offset Int64 -> Int64 -> prim () primAddrIndex :: Addr# -> Offset Int64 -> Int64 primAddrRead :: PrimMonad prim => Addr# -> Offset Int64 -> prim Int64 primAddrWrite :: PrimMonad prim => Addr# -> Offset Int64 -> Int64 -> prim () | |
| PrimMemoryComparable Int64 | |
Defined in Basement.PrimType | |
| Subtractive Int64 | |
| Uniform Int64 | |
Defined in System.Random.Internal | |
| UniformRange Int64 | |
Defined in System.Random.Internal | |
| Signable Int64 Source # | |
Defined in Data.Signable.Class Methods toBinary :: Int64 -> ByteString Source # | |
| Vector Vector Int64 | |
Defined in Data.Vector.Unboxed.Base Methods basicUnsafeFreeze :: PrimMonad m => Mutable Vector (PrimState m) Int64 -> m (Vector Int64) basicUnsafeThaw :: PrimMonad m => Vector Int64 -> m (Mutable Vector (PrimState m) Int64) basicLength :: Vector Int64 -> Int basicUnsafeSlice :: Int -> Int -> Vector Int64 -> Vector Int64 basicUnsafeIndexM :: Monad m => Vector Int64 -> Int -> m Int64 basicUnsafeCopy :: PrimMonad m => Mutable Vector (PrimState m) Int64 -> Vector Int64 -> m () | |
| MVector MVector Int64 | |
Defined in Data.Vector.Unboxed.Base Methods basicLength :: MVector s Int64 -> Int basicUnsafeSlice :: Int -> Int -> MVector s Int64 -> MVector s Int64 basicOverlaps :: MVector s Int64 -> MVector s Int64 -> Bool basicUnsafeNew :: PrimMonad m => Int -> m (MVector (PrimState m) Int64) basicInitialize :: PrimMonad m => MVector (PrimState m) Int64 -> m () basicUnsafeReplicate :: PrimMonad m => Int -> Int64 -> m (MVector (PrimState m) Int64) basicUnsafeRead :: PrimMonad m => MVector (PrimState m) Int64 -> Int -> m Int64 basicUnsafeWrite :: PrimMonad m => MVector (PrimState m) Int64 -> Int -> Int64 -> m () basicClear :: PrimMonad m => MVector (PrimState m) Int64 -> m () basicSet :: PrimMonad m => MVector (PrimState m) Int64 -> Int64 -> m () basicUnsafeCopy :: PrimMonad m => MVector (PrimState m) Int64 -> MVector (PrimState m) Int64 -> m () basicUnsafeMove :: PrimMonad m => MVector (PrimState m) Int64 -> MVector (PrimState m) Int64 -> m () basicUnsafeGrow :: PrimMonad m => MVector (PrimState m) Int64 -> Int -> m (MVector (PrimState m) Int64) | |
| newtype Vector Int64 | |
Defined in Data.Vector.Unboxed.Base | |
| type NatNumMaxBound Int64 | |
Defined in Basement.Nat type NatNumMaxBound Int64 = 9223372036854775807 | |
| type Difference Int64 | |
Defined in Basement.Numerical.Subtractive | |
| type PrimSize Int64 | |
Defined in Basement.PrimType type PrimSize Int64 = 8 | |
| newtype MVector s Int64 | |
Defined in Data.Vector.Unboxed.Base | |
Invariant: Jn# and Jp# are used iff value doesn't fit in S#
Useful properties resulting from the invariants:
Instances
Type representing arbitrary-precision non-negative integers.
>>>2^100 :: Natural1267650600228229401496703205376
Operations whose result would be negative throw (Underflow :: ArithException)
>>>-1 :: Natural*** Exception: arithmetic underflow
Since: base-4.8.0.0
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
| Monad Maybe | Since: base-2.1 |
| Functor Maybe | Since: base-2.1 |
| MonadFail Maybe | Since: base-4.9.0.0 |
Defined in Control.Monad.Fail | |
| Applicative Maybe | Since: base-2.1 |
| Foldable Maybe | Since: base-2.1 |
Defined in Data.Foldable Methods fold :: Monoid m => Maybe m -> m # foldMap :: Monoid m => (a -> m) -> Maybe a -> m # foldr :: (a -> b -> b) -> b -> Maybe a -> b # foldr' :: (a -> b -> b) -> b -> Maybe a -> b # foldl :: (b -> a -> b) -> b -> Maybe a -> b # foldl' :: (b -> a -> b) -> b -> Maybe a -> b # foldr1 :: (a -> a -> a) -> Maybe a -> a # foldl1 :: (a -> a -> a) -> Maybe a -> a # elem :: Eq a => a -> Maybe a -> Bool # maximum :: Ord a => Maybe a -> a # minimum :: Ord a => Maybe a -> a # | |
| Traversable Maybe | Since: base-2.1 |
| Eq1 Maybe | Since: base-4.9.0.0 |
| Ord1 Maybe | Since: base-4.9.0.0 |
Defined in Data.Functor.Classes | |
| Read1 Maybe | Since: base-4.9.0.0 |
Defined in Data.Functor.Classes | |
| Show1 Maybe | Since: base-4.9.0.0 |
| Alternative Maybe | Since: base-2.1 |
| MonadPlus Maybe | Since: base-2.1 |
| NFData1 Maybe | Since: deepseq-1.4.3.0 |
Defined in Control.DeepSeq | |
| MonadThrow Maybe | |
Defined in Control.Monad.Catch | |
| Hashable1 Maybe | |
Defined in Data.Hashable.Class | |
| MonadFailure Maybe | |
| MonadError () Maybe | Since: mtl-2.2.2 |
Defined in Control.Monad.Error.Class | |
| Eq a => Eq (Maybe a) | Since: base-2.1 |
| Ord a => Ord (Maybe a) | Since: base-2.1 |
| Read a => Read (Maybe a) | Since: base-2.1 |
| Show a => Show (Maybe a) | Since: base-2.1 |
| Generic (Maybe a) | |
| Semigroup a => Semigroup (Maybe a) | Since: base-4.9.0.0 |
| Semigroup a => Monoid (Maybe a) | Lift a semigroup into Since 4.11.0: constraint on inner Since: base-2.1 |
| Lift a => Lift (Maybe a) | |
| SingKind a => SingKind (Maybe a) | Since: base-4.9.0.0 |
Defined in GHC.Generics | |
| Binary a => Binary (Maybe a) | |
| NFData a => NFData (Maybe a) | |
Defined in Control.DeepSeq | |
| Hashable a => Hashable (Maybe a) | |
Defined in Data.Hashable.Class | |
| (TypeError (DisallowInstance "Maybe") :: Constraint) => Container (Maybe a) | |
Defined in Universum.Container.Class Methods toList :: Maybe a -> [Element (Maybe a)] # foldr :: (Element (Maybe a) -> b -> b) -> b -> Maybe a -> b # foldl :: (b -> Element (Maybe a) -> b) -> b -> Maybe a -> b # foldl' :: (b -> Element (Maybe a) -> b) -> b -> Maybe a -> b # elem :: Element (Maybe a) -> Maybe a -> Bool # maximum :: Maybe a -> Element (Maybe a) # minimum :: Maybe a -> Element (Maybe a) # foldMap :: Monoid m => (Element (Maybe a) -> m) -> Maybe a -> m # fold :: Maybe a -> Element (Maybe a) # foldr' :: (Element (Maybe a) -> b -> b) -> b -> Maybe a -> b # foldr1 :: (Element (Maybe a) -> Element (Maybe a) -> Element (Maybe a)) -> Maybe a -> Element (Maybe a) # foldl1 :: (Element (Maybe a) -> Element (Maybe a) -> Element (Maybe a)) -> Maybe a -> Element (Maybe a) # notElem :: Element (Maybe a) -> Maybe a -> Bool # all :: (Element (Maybe a) -> Bool) -> Maybe a -> Bool # any :: (Element (Maybe a) -> Bool) -> Maybe a -> Bool # find :: (Element (Maybe a) -> Bool) -> Maybe a -> Maybe (Element (Maybe a)) # | |
| Generic1 Maybe | |
| SingI (Nothing :: Maybe a) | Since: base-4.9.0.0 |
Defined in GHC.Generics | |
| Each (Maybe a) (Maybe b) a b | |
Defined in Lens.Micro.Internal | |
| SingI a2 => SingI (Just a2 :: Maybe a1) | Since: base-4.9.0.0 |
Defined in GHC.Generics | |
| type Failure Maybe | |
Defined in Basement.Monad type Failure Maybe = () | |
| type Rep (Maybe a) | Since: base-4.6.0.0 |
| data Sing (b :: Maybe a) | |
| type DemoteRep (Maybe a) | |
Defined in GHC.Generics | |
| type Element (Maybe a) | |
Defined in Universum.Container.Class | |
| type Rep1 Maybe | Since: base-4.6.0.0 |
Instances
| Bounded Ordering | Since: base-2.1 |
| Enum Ordering | Since: base-2.1 |
| Eq Ordering | |
| Ord Ordering | |
Defined in GHC.Classes | |
| Read Ordering | Since: base-2.1 |
| Show Ordering | Since: base-2.1 |
| Ix Ordering | Since: base-2.1 |
Defined in GHC.Arr | |
| Generic Ordering | |
| Semigroup Ordering | Since: base-4.9.0.0 |
| Monoid Ordering | Since: base-2.1 |
| Binary Ordering | |
| NFData Ordering | |
Defined in Control.DeepSeq | |
| Hashable Ordering | |
Defined in Data.Hashable.Class | |
| type Rep Ordering | Since: base-4.6.0.0 |
Rational numbers, with numerator and denominator of some Integral type.
Note that Ratio's instances inherit the deficiencies from the type
parameter's. For example, Ratio Natural's Num instance has similar
problems to Natural's.
Constructors
| !a :% !a |
Instances
| NFData1 Ratio | Available on Since: deepseq-1.4.3.0 |
Defined in Control.DeepSeq | |
| Integral a => Enum (Ratio a) | Since: base-2.0.1 |
| Eq a => Eq (Ratio a) | Since: base-2.1 |
| Integral a => Fractional (Ratio a) | Since: base-2.0.1 |
| Integral a => Num (Ratio a) | Since: base-2.0.1 |
| Integral a => Ord (Ratio a) | Since: base-2.0.1 |
| (Integral a, Read a) => Read (Ratio a) | Since: base-2.1 |
| Integral a => Real (Ratio a) | Since: base-2.0.1 |
Defined in GHC.Real Methods toRational :: Ratio a -> Rational # | |
| Integral a => RealFrac (Ratio a) | Since: base-2.0.1 |
| Show a => Show (Ratio a) | Since: base-2.0.1 |
| Integral a => Lift (Ratio a) | |
| (Binary a, Integral a) => Binary (Ratio a) | |
| NFData a => NFData (Ratio a) | |
Defined in Control.DeepSeq | |
| Hashable a => Hashable (Ratio a) | |
Defined in Data.Hashable.Class | |
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
Instances
| Bounded Word | Since: base-2.1 |
| Enum Word | Since: base-2.1 |
| Eq Word | |
| Integral Word | Since: base-2.1 |
| Num Word | Since: base-2.1 |
| Ord Word | |
| Read Word | Since: base-4.5.0.0 |
| Real Word | Since: base-2.1 |
Defined in GHC.Real Methods toRational :: Word -> Rational # | |
| Show Word | Since: base-2.1 |
| Ix Word | Since: base-4.6.0.0 |
| Lift Word | |
| Bits Word | Since: base-2.1 |
Defined in Data.Bits Methods (.&.) :: Word -> Word -> Word # (.|.) :: Word -> Word -> Word # complement :: Word -> Word # shift :: Word -> Int -> Word # rotate :: Word -> Int -> Word # setBit :: Word -> Int -> Word # clearBit :: Word -> Int -> Word # complementBit :: Word -> Int -> Word # testBit :: Word -> Int -> Bool # bitSizeMaybe :: Word -> Maybe Int # shiftL :: Word -> Int -> Word # unsafeShiftL :: Word -> Int -> Word # shiftR :: Word -> Int -> Word # unsafeShiftR :: Word -> Int -> Word # rotateL :: Word -> Int -> Word # | |
| FiniteBits Word | Since: base-4.6.0.0 |
Defined in Data.Bits Methods finiteBitSize :: Word -> Int # countLeadingZeros :: Word -> Int # countTrailingZeros :: Word -> Int # | |
| Binary Word | |
| NFData Word | |
Defined in Control.DeepSeq | |
| Hashable Word | |
Defined in Data.Hashable.Class | |
| Unbox Word | |
Defined in Data.Vector.Unboxed.Base | |
| PrimType Word | |
Defined in Basement.PrimType Methods primSizeInBytes :: Proxy Word -> CountOf Word8 primShiftToBytes :: Proxy Word -> Int primBaUIndex :: ByteArray# -> Offset Word -> Word primMbaURead :: PrimMonad prim => MutableByteArray# (PrimState prim) -> Offset Word -> prim Word primMbaUWrite :: PrimMonad prim => MutableByteArray# (PrimState prim) -> Offset Word -> Word -> prim () primAddrIndex :: Addr# -> Offset Word -> Word primAddrRead :: PrimMonad prim => Addr# -> Offset Word -> prim Word primAddrWrite :: PrimMonad prim => Addr# -> Offset Word -> Word -> prim () | |
| PrimMemoryComparable Word | |
Defined in Basement.PrimType | |
| Subtractive Word | |
| Uniform Word | |
Defined in System.Random.Internal | |
| UniformRange Word | |
Defined in System.Random.Internal | |
| Vector Vector Word | |
Defined in Data.Vector.Unboxed.Base Methods basicUnsafeFreeze :: PrimMonad m => Mutable Vector (PrimState m) Word -> m (Vector Word) basicUnsafeThaw :: PrimMonad m => Vector Word -> m (Mutable Vector (PrimState m) Word) basicLength :: Vector Word -> Int basicUnsafeSlice :: Int -> Int -> Vector Word -> Vector Word basicUnsafeIndexM :: Monad m => Vector Word -> Int -> m Word basicUnsafeCopy :: PrimMonad m => Mutable Vector (PrimState m) Word -> Vector Word -> m () | |
| MVector MVector Word | |
Defined in Data.Vector.Unboxed.Base Methods basicLength :: MVector s Word -> Int basicUnsafeSlice :: Int -> Int -> MVector s Word -> MVector s Word basicOverlaps :: MVector s Word -> MVector s Word -> Bool basicUnsafeNew :: PrimMonad m => Int -> m (MVector (PrimState m) Word) basicInitialize :: PrimMonad m => MVector (PrimState m) Word -> m () basicUnsafeReplicate :: PrimMonad m => Int -> Word -> m (MVector (PrimState m) Word) basicUnsafeRead :: PrimMonad m => MVector (PrimState m) Word -> Int -> m Word basicUnsafeWrite :: PrimMonad m => MVector (PrimState m) Word -> Int -> Word -> m () basicClear :: PrimMonad m => MVector (PrimState m) Word -> m () basicSet :: PrimMonad m => MVector (PrimState m) Word -> Word -> m () basicUnsafeCopy :: PrimMonad m => MVector (PrimState m) Word -> MVector (PrimState m) Word -> m () basicUnsafeMove :: PrimMonad m => MVector (PrimState m) Word -> MVector (PrimState m) Word -> m () basicUnsafeGrow :: PrimMonad m => MVector (PrimState m) Word -> Int -> m (MVector (PrimState m) Word) | |
| Generic1 (URec Word :: k -> Type) | |
| Functor (URec Word :: Type -> Type) | Since: base-4.9.0.0 |
| Foldable (URec Word :: Type -> Type) | Since: base-4.9.0.0 |
Defined in Data.Foldable Methods fold :: Monoid m => URec Word m -> m # foldMap :: Monoid m => (a -> m) -> URec Word a -> m # foldr :: (a -> b -> b) -> b -> URec Word a -> b # foldr' :: (a -> b -> b) -> b -> URec Word a -> b # foldl :: (b -> a -> b) -> b -> URec Word a -> b # foldl' :: (b -> a -> b) -> b -> URec Word a -> b # foldr1 :: (a -> a -> a) -> URec Word a -> a # foldl1 :: (a -> a -> a) -> URec Word a -> a # toList :: URec Word a -> [a] # length :: URec Word a -> Int # elem :: Eq a => a -> URec Word a -> Bool # maximum :: Ord a => URec Word a -> a # minimum :: Ord a => URec Word a -> a # | |
| Traversable (URec Word :: Type -> Type) | Since: base-4.9.0.0 |
Defined in Data.Traversable | |
| Eq (URec Word p) | Since: base-4.9.0.0 |
| Ord (URec Word p) | Since: base-4.9.0.0 |
Defined in GHC.Generics | |
| Show (URec Word p) | Since: base-4.9.0.0 |
| Generic (URec Word p) | |
| newtype Vector Word | |
Defined in Data.Vector.Unboxed.Base | |
| type NatNumMaxBound Word | |
Defined in Basement.Nat | |
| type Difference Word | |
Defined in Basement.Numerical.Subtractive | |
| type PrimSize Word | |
Defined in Basement.PrimType type PrimSize Word = 8 | |
| data URec Word (p :: k) | Used for marking occurrences of Since: base-4.9.0.0 |
| newtype MVector s Word | |
Defined in Data.Vector.Unboxed.Base | |
| type Rep1 (URec Word :: k -> Type) | Since: base-4.9.0.0 |
Defined in GHC.Generics | |
| type Rep (URec Word p) | Since: base-4.9.0.0 |
Defined in GHC.Generics | |
8-bit unsigned integer type
Instances
| Bounded Word8 | Since: base-2.1 |
| Enum Word8 | Since: base-2.1 |
| Eq Word8 | Since: base-2.1 |
| Integral Word8 | Since: base-2.1 |
| Num Word8 | Since: base-2.1 |
| Ord Word8 | Since: base-2.1 |
| Read Word8 | Since: base-2.1 |
| Real Word8 | Since: base-2.1 |
Defined in GHC.Word Methods toRational :: Word8 -> Rational # | |
| Show Word8 | Since: base-2.1 |
| Ix Word8 | Since: base-2.1 |
| Lift Word8 | |
| Bits Word8 | Since: base-2.1 |
Defined in GHC.Word Methods (.&.) :: Word8 -> Word8 -> Word8 # (.|.) :: Word8 -> Word8 -> Word8 # xor :: Word8 -> Word8 -> Word8 # complement :: Word8 -> Word8 # shift :: Word8 -> Int -> Word8 # rotate :: Word8 -> Int -> Word8 # setBit :: Word8 -> Int -> Word8 # clearBit :: Word8 -> Int -> Word8 # complementBit :: Word8 -> Int -> Word8 # testBit :: Word8 -> Int -> Bool # bitSizeMaybe :: Word8 -> Maybe Int # shiftL :: Word8 -> Int -> Word8 # unsafeShiftL :: Word8 -> Int -> Word8 # shiftR :: Word8 -> Int -> Word8 # unsafeShiftR :: Word8 -> Int -> Word8 # rotateL :: Word8 -> Int -> Word8 # | |
| FiniteBits Word8 | Since: base-4.6.0.0 |
Defined in GHC.Word Methods finiteBitSize :: Word8 -> Int # countLeadingZeros :: Word8 -> Int # countTrailingZeros :: Word8 -> Int # | |
| Binary Word8 | |
| NFData Word8 | |
Defined in Control.DeepSeq | |
| Hashable Word8 | |
Defined in Data.Hashable.Class | |
| Unbox Word8 | |
Defined in Data.Vector.Unboxed.Base | |
| PrimType Word8 | |
Defined in Basement.PrimType Methods primSizeInBytes :: Proxy Word8 -> CountOf Word8 primShiftToBytes :: Proxy Word8 -> Int primBaUIndex :: ByteArray# -> Offset Word8 -> Word8 primMbaURead :: PrimMonad prim => MutableByteArray# (PrimState prim) -> Offset Word8 -> prim Word8 primMbaUWrite :: PrimMonad prim => MutableByteArray# (PrimState prim) -> Offset Word8 -> Word8 -> prim () primAddrIndex :: Addr# -> Offset Word8 -> Word8 primAddrRead :: PrimMonad prim => Addr# -> Offset Word8 -> prim Word8 primAddrWrite :: PrimMonad prim => Addr# -> Offset Word8 -> Word8 -> prim () | |
| PrimMemoryComparable Word8 | |
Defined in Basement.PrimType | |
| Subtractive Word8 | |
| Uniform Word8 | |
Defined in System.Random.Internal | |
| UniformRange Word8 | |
Defined in System.Random.Internal | |
| Vector Vector Word8 | |
Defined in Data.Vector.Unboxed.Base Methods basicUnsafeFreeze :: PrimMonad m => Mutable Vector (PrimState m) Word8 -> m (Vector Word8) basicUnsafeThaw :: PrimMonad m => Vector Word8 -> m (Mutable Vector (PrimState m) Word8) basicLength :: Vector Word8 -> Int basicUnsafeSlice :: Int -> Int -> Vector Word8 -> Vector Word8 basicUnsafeIndexM :: Monad m => Vector Word8 -> Int -> m Word8 basicUnsafeCopy :: PrimMonad m => Mutable Vector (PrimState m) Word8 -> Vector Word8 -> m () | |
| MVector MVector Word8 | |
Defined in Data.Vector.Unboxed.Base Methods basicLength :: MVector s Word8 -> Int basicUnsafeSlice :: Int -> Int -> MVector s Word8 -> MVector s Word8 basicOverlaps :: MVector s Word8 -> MVector s Word8 -> Bool basicUnsafeNew :: PrimMonad m => Int -> m (MVector (PrimState m) Word8) basicInitialize :: PrimMonad m => MVector (PrimState m) Word8 -> m () basicUnsafeReplicate :: PrimMonad m => Int -> Word8 -> m (MVector (PrimState m) Word8) basicUnsafeRead :: PrimMonad m => MVector (PrimState m) Word8 -> Int -> m Word8 basicUnsafeWrite :: PrimMonad m => MVector (PrimState m) Word8 -> Int -> Word8 -> m () basicClear :: PrimMonad m => MVector (PrimState m) Word8 -> m () basicSet :: PrimMonad m => MVector (PrimState m) Word8 -> Word8 -> m () basicUnsafeCopy :: PrimMonad m => MVector (PrimState m) Word8 -> MVector (PrimState m) Word8 -> m () basicUnsafeMove :: PrimMonad m => MVector (PrimState m) Word8 -> MVector (PrimState m) Word8 -> m () basicUnsafeGrow :: PrimMonad m => MVector (PrimState m) Word8 -> Int -> m (MVector (PrimState m) Word8) | |
| newtype Vector Word8 | |
Defined in Data.Vector.Unboxed.Base | |
| type NatNumMaxBound Word8 | |
Defined in Basement.Nat type NatNumMaxBound Word8 = 255 | |
| type Difference Word8 | |
Defined in Basement.Numerical.Subtractive | |
| type PrimSize Word8 | |
Defined in Basement.PrimType type PrimSize Word8 = 1 | |
| newtype MVector s Word8 | |
Defined in Data.Vector.Unboxed.Base | |
16-bit unsigned integer type
Instances
| Bounded Word16 | Since: base-2.1 |
| Enum Word16 | Since: base-2.1 |
Defined in GHC.Word | |
| Eq Word16 | Since: base-2.1 |
| Integral Word16 | Since: base-2.1 |
| Num Word16 | Since: base-2.1 |
| Ord Word16 | Since: base-2.1 |
| Read Word16 | Since: base-2.1 |
| Real Word16 | Since: base-2.1 |
Defined in GHC.Word Methods toRational :: Word16 -> Rational # | |
| Show Word16 | Since: base-2.1 |
| Ix Word16 | Since: base-2.1 |
| Lift Word16 | |
| Bits Word16 | Since: base-2.1 |
Defined in GHC.Word Methods (.&.) :: Word16 -> Word16 -> Word16 # (.|.) :: Word16 -> Word16 -> Word16 # xor :: Word16 -> Word16 -> Word16 # complement :: Word16 -> Word16 # shift :: Word16 -> Int -> Word16 # rotate :: Word16 -> Int -> Word16 # setBit :: Word16 -> Int -> Word16 # clearBit :: Word16 -> Int -> Word16 # complementBit :: Word16 -> Int -> Word16 # testBit :: Word16 -> Int -> Bool # bitSizeMaybe :: Word16 -> Maybe Int # shiftL :: Word16 -> Int -> Word16 # unsafeShiftL :: Word16 -> Int -> Word16 # shiftR :: Word16 -> Int -> Word16 # unsafeShiftR :: Word16 -> Int -> Word16 # rotateL :: Word16 -> Int -> Word16 # | |
| FiniteBits Word16 | Since: base-4.6.0.0 |
Defined in GHC.Word Methods finiteBitSize :: Word16 -> Int # countLeadingZeros :: Word16 -> Int # countTrailingZeros :: Word16 -> Int # | |
| Binary Word16 | |
| NFData Word16 | |
Defined in Control.DeepSeq | |
| Hashable Word16 | |
Defined in Data.Hashable.Class | |
| Unbox Word16 | |
Defined in Data.Vector.Unboxed.Base | |
| PrimType Word16 | |
Defined in Basement.PrimType Methods primSizeInBytes :: Proxy Word16 -> CountOf Word8 primShiftToBytes :: Proxy Word16 -> Int primBaUIndex :: ByteArray# -> Offset Word16 -> Word16 primMbaURead :: PrimMonad prim => MutableByteArray# (PrimState prim) -> Offset Word16 -> prim Word16 primMbaUWrite :: PrimMonad prim => MutableByteArray# (PrimState prim) -> Offset Word16 -> Word16 -> prim () primAddrIndex :: Addr# -> Offset Word16 -> Word16 primAddrRead :: PrimMonad prim => Addr# -> Offset Word16 -> prim Word16 primAddrWrite :: PrimMonad prim => Addr# -> Offset Word16 -> Word16 -> prim () | |
| PrimMemoryComparable Word16 | |
Defined in Basement.PrimType | |
| Subtractive Word16 | |
| Uniform Word16 | |
Defined in System.Random.Internal | |
| UniformRange Word16 | |
Defined in System.Random.Internal | |
| Vector Vector Word16 | |
Defined in Data.Vector.Unboxed.Base Methods basicUnsafeFreeze :: PrimMonad m => Mutable Vector (PrimState m) Word16 -> m (Vector Word16) basicUnsafeThaw :: PrimMonad m => Vector Word16 -> m (Mutable Vector (PrimState m) Word16) basicLength :: Vector Word16 -> Int basicUnsafeSlice :: Int -> Int -> Vector Word16 -> Vector Word16 basicUnsafeIndexM :: Monad m => Vector Word16 -> Int -> m Word16 basicUnsafeCopy :: PrimMonad m => Mutable Vector (PrimState m) Word16 -> Vector Word16 -> m () | |
| MVector MVector Word16 | |
Defined in Data.Vector.Unboxed.Base Methods basicLength :: MVector s Word16 -> Int basicUnsafeSlice :: Int -> Int -> MVector s Word16 -> MVector s Word16 basicOverlaps :: MVector s Word16 -> MVector s Word16 -> Bool basicUnsafeNew :: PrimMonad m => Int -> m (MVector (PrimState m) Word16) basicInitialize :: PrimMonad m => MVector (PrimState m) Word16 -> m () basicUnsafeReplicate :: PrimMonad m => Int -> Word16 -> m (MVector (PrimState m) Word16) basicUnsafeRead :: PrimMonad m => MVector (PrimState m) Word16 -> Int -> m Word16 basicUnsafeWrite :: PrimMonad m => MVector (PrimState m) Word16 -> Int -> Word16 -> m () basicClear :: PrimMonad m => MVector (PrimState m) Word16 -> m () basicSet :: PrimMonad m => MVector (PrimState m) Word16 -> Word16 -> m () basicUnsafeCopy :: PrimMonad m => MVector (PrimState m) Word16 -> MVector (PrimState m) Word16 -> m () basicUnsafeMove :: PrimMonad m => MVector (PrimState m) Word16 -> MVector (PrimState m) Word16 -> m () basicUnsafeGrow :: PrimMonad m => MVector (PrimState m) Word16 -> Int -> m (MVector (PrimState m) Word16) | |
| newtype Vector Word16 | |
Defined in Data.Vector.Unboxed.Base | |
| type NatNumMaxBound Word16 | |
Defined in Basement.Nat type NatNumMaxBound Word16 = 65535 | |
| type Difference Word16 | |
Defined in Basement.Numerical.Subtractive | |
| type PrimSize Word16 | |
Defined in Basement.PrimType type PrimSize Word16 = 2 | |
| newtype MVector s Word16 | |
Defined in Data.Vector.Unboxed.Base | |
32-bit unsigned integer type
Instances
| Bounded Word32 | Since: base-2.1 |
| Enum Word32 | Since: base-2.1 |
Defined in GHC.Word | |
| Eq Word32 | Since: base-2.1 |
| Integral Word32 | Since: base-2.1 |
| Num Word32 | Since: base-2.1 |
| Ord Word32 | Since: base-2.1 |
| Read Word32 | Since: base-2.1 |
| Real Word32 | Since: base-2.1 |
Defined in GHC.Word Methods toRational :: Word32 -> Rational # | |
| Show Word32 | Since: base-2.1 |
| Ix Word32 | Since: base-2.1 |
| Lift Word32 | |
| Bits Word32 | Since: base-2.1 |
Defined in GHC.Word Methods (.&.) :: Word32 -> Word32 -> Word32 # (.|.) :: Word32 -> Word32 -> Word32 # xor :: Word32 -> Word32 -> Word32 # complement :: Word32 -> Word32 # shift :: Word32 -> Int -> Word32 # rotate :: Word32 -> Int -> Word32 # setBit :: Word32 -> Int -> Word32 # clearBit :: Word32 -> Int -> Word32 # complementBit :: Word32 -> Int -> Word32 # testBit :: Word32 -> Int -> Bool # bitSizeMaybe :: Word32 -> Maybe Int # shiftL :: Word32 -> Int -> Word32 # unsafeShiftL :: Word32 -> Int -> Word32 # shiftR :: Word32 -> Int -> Word32 # unsafeShiftR :: Word32 -> Int -> Word32 # rotateL :: Word32 -> Int -> Word32 # | |
| FiniteBits Word32 | Since: base-4.6.0.0 |
Defined in GHC.Word Methods finiteBitSize :: Word32 -> Int # countLeadingZeros :: Word32 -> Int # countTrailingZeros :: Word32 -> Int # | |
| Binary Word32 | |
| NFData Word32 | |
Defined in Control.DeepSeq | |
| Hashable Word32 | |
Defined in Data.Hashable.Class | |
| Unbox Word32 | |
Defined in Data.Vector.Unboxed.Base | |
| PrimType Word32 | |
Defined in Basement.PrimType Methods primSizeInBytes :: Proxy Word32 -> CountOf Word8 primShiftToBytes :: Proxy Word32 -> Int primBaUIndex :: ByteArray# -> Offset Word32 -> Word32 primMbaURead :: PrimMonad prim => MutableByteArray# (PrimState prim) -> Offset Word32 -> prim Word32 primMbaUWrite :: PrimMonad prim => MutableByteArray# (PrimState prim) -> Offset Word32 -> Word32 -> prim () primAddrIndex :: Addr# -> Offset Word32 -> Word32 primAddrRead :: PrimMonad prim => Addr# -> Offset Word32 -> prim Word32 primAddrWrite :: PrimMonad prim => Addr# -> Offset Word32 -> Word32 -> prim () | |
| PrimMemoryComparable Word32 | |
Defined in Basement.PrimType | |
| Subtractive Word32 | |
| Uniform Word32 | |
Defined in System.Random.Internal | |
| UniformRange Word32 | |
Defined in System.Random.Internal | |
| Signable Word32 Source # | |
Defined in Data.Signable.Class Methods toBinary :: Word32 -> ByteString Source # | |
| Vector Vector Word32 | |
Defined in Data.Vector.Unboxed.Base Methods basicUnsafeFreeze :: PrimMonad m => Mutable Vector (PrimState m) Word32 -> m (Vector Word32) basicUnsafeThaw :: PrimMonad m => Vector Word32 -> m (Mutable Vector (PrimState m) Word32) basicLength :: Vector Word32 -> Int basicUnsafeSlice :: Int -> Int -> Vector Word32 -> Vector Word32 basicUnsafeIndexM :: Monad m => Vector Word32 -> Int -> m Word32 basicUnsafeCopy :: PrimMonad m => Mutable Vector (PrimState m) Word32 -> Vector Word32 -> m () | |
| MVector MVector Word32 | |
Defined in Data.Vector.Unboxed.Base Methods basicLength :: MVector s Word32 -> Int basicUnsafeSlice :: Int -> Int -> MVector s Word32 -> MVector s Word32 basicOverlaps :: MVector s Word32 -> MVector s Word32 -> Bool basicUnsafeNew :: PrimMonad m => Int -> m (MVector (PrimState m) Word32) basicInitialize :: PrimMonad m => MVector (PrimState m) Word32 -> m () basicUnsafeReplicate :: PrimMonad m => Int -> Word32 -> m (MVector (PrimState m) Word32) basicUnsafeRead :: PrimMonad m => MVector (PrimState m) Word32 -> Int -> m Word32 basicUnsafeWrite :: PrimMonad m => MVector (PrimState m) Word32 -> Int -> Word32 -> m () basicClear :: PrimMonad m => MVector (PrimState m) Word32 -> m () basicSet :: PrimMonad m => MVector (PrimState m) Word32 -> Word32 -> m () basicUnsafeCopy :: PrimMonad m => MVector (PrimState m) Word32 -> MVector (PrimState m) Word32 -> m () basicUnsafeMove :: PrimMonad m => MVector (PrimState m) Word32 -> MVector (PrimState m) Word32 -> m () basicUnsafeGrow :: PrimMonad m => MVector (PrimState m) Word32 -> Int -> m (MVector (PrimState m) Word32) | |
| newtype Vector Word32 | |
Defined in Data.Vector.Unboxed.Base | |
| type NatNumMaxBound Word32 | |
Defined in Basement.Nat type NatNumMaxBound Word32 = 4294967295 | |
| type Difference Word32 | |
Defined in Basement.Numerical.Subtractive | |
| type PrimSize Word32 | |
Defined in Basement.PrimType type PrimSize Word32 = 4 | |
| newtype MVector s Word32 | |
Defined in Data.Vector.Unboxed.Base | |
64-bit unsigned integer type
Instances
| Bounded Word64 | Since: base-2.1 |
| Enum Word64 | Since: base-2.1 |
Defined in GHC.Word | |
| Eq Word64 | Since: base-2.1 |
| Integral Word64 | Since: base-2.1 |
| Num Word64 | Since: base-2.1 |
| Ord Word64 | Since: base-2.1 |
| Read Word64 | Since: base-2.1 |
| Real Word64 | Since: base-2.1 |
Defined in GHC.Word Methods toRational :: Word64 -> Rational # | |
| Show Word64 | Since: base-2.1 |
| Ix Word64 | Since: base-2.1 |
| Lift Word64 | |
| Bits Word64 | Since: base-2.1 |
Defined in GHC.Word Methods (.&.) :: Word64 -> Word64 -> Word64 # (.|.) :: Word64 -> Word64 -> Word64 # xor :: Word64 -> Word64 -> Word64 # complement :: Word64 -> Word64 # shift :: Word64 -> Int -> Word64 # rotate :: Word64 -> Int -> Word64 # setBit :: Word64 -> Int -> Word64 # clearBit :: Word64 -> Int -> Word64 # complementBit :: Word64 -> Int -> Word64 # testBit :: Word64 -> Int -> Bool # bitSizeMaybe :: Word64 -> Maybe Int # shiftL :: Word64 -> Int -> Word64 # unsafeShiftL :: Word64 -> Int -> Word64 # shiftR :: Word64 -> Int -> Word64 # unsafeShiftR :: Word64 -> Int -> Word64 # rotateL :: Word64 -> Int -> Word64 # | |
| FiniteBits Word64 | Since: base-4.6.0.0 |
Defined in GHC.Word Methods finiteBitSize :: Word64 -> Int # countLeadingZeros :: Word64 -> Int # countTrailingZeros :: Word64 -> Int # | |
| Binary Word64 | |
| NFData Word64 | |
Defined in Control.DeepSeq | |
| Hashable Word64 | |
Defined in Data.Hashable.Class | |
| Unbox Word64 | |
Defined in Data.Vector.Unboxed.Base | |
| PrimType Word64 | |
Defined in Basement.PrimType Methods primSizeInBytes :: Proxy Word64 -> CountOf Word8 primShiftToBytes :: Proxy Word64 -> Int primBaUIndex :: ByteArray# -> Offset Word64 -> Word64 primMbaURead :: PrimMonad prim => MutableByteArray# (PrimState prim) -> Offset Word64 -> prim Word64 primMbaUWrite :: PrimMonad prim => MutableByteArray# (PrimState prim) -> Offset Word64 -> Word64 -> prim () primAddrIndex :: Addr# -> Offset Word64 -> Word64 primAddrRead :: PrimMonad prim => Addr# -> Offset Word64 -> prim Word64 primAddrWrite :: PrimMonad prim => Addr# -> Offset Word64 -> Word64 -> prim () | |
| PrimMemoryComparable Word64 | |
Defined in Basement.PrimType | |
| Subtractive Word64 | |
| Uniform Word64 | |
Defined in System.Random.Internal | |
| UniformRange Word64 | |
Defined in System.Random.Internal | |
| Signable Word64 Source # | |
Defined in Data.Signable.Class Methods toBinary :: Word64 -> ByteString Source # | |
| Vector Vector Word64 | |
Defined in Data.Vector.Unboxed.Base Methods basicUnsafeFreeze :: PrimMonad m => Mutable Vector (PrimState m) Word64 -> m (Vector Word64) basicUnsafeThaw :: PrimMonad m => Vector Word64 -> m (Mutable Vector (PrimState m) Word64) basicLength :: Vector Word64 -> Int basicUnsafeSlice :: Int -> Int -> Vector Word64 -> Vector Word64 basicUnsafeIndexM :: Monad m => Vector Word64 -> Int -> m Word64 basicUnsafeCopy :: PrimMonad m => Mutable Vector (PrimState m) Word64 -> Vector Word64 -> m () | |
| MVector MVector Word64 | |
Defined in Data.Vector.Unboxed.Base Methods basicLength :: MVector s Word64 -> Int basicUnsafeSlice :: Int -> Int -> MVector s Word64 -> MVector s Word64 basicOverlaps :: MVector s Word64 -> MVector s Word64 -> Bool basicUnsafeNew :: PrimMonad m => Int -> m (MVector (PrimState m) Word64) basicInitialize :: PrimMonad m => MVector (PrimState m) Word64 -> m () basicUnsafeReplicate :: PrimMonad m => Int -> Word64 -> m (MVector (PrimState m) Word64) basicUnsafeRead :: PrimMonad m => MVector (PrimState m) Word64 -> Int -> m Word64 basicUnsafeWrite :: PrimMonad m => MVector (PrimState m) Word64 -> Int -> Word64 -> m () basicClear :: PrimMonad m => MVector (PrimState m) Word64 -> m () basicSet :: PrimMonad m => MVector (PrimState m) Word64 -> Word64 -> m () basicUnsafeCopy :: PrimMonad m => MVector (PrimState m) Word64 -> MVector (PrimState m) Word64 -> m () basicUnsafeMove :: PrimMonad m => MVector (PrimState m) Word64 -> MVector (PrimState m) Word64 -> m () basicUnsafeGrow :: PrimMonad m => MVector (PrimState m) Word64 -> Int -> m (MVector (PrimState m) Word64) | |
| newtype Vector Word64 | |
Defined in Data.Vector.Unboxed.Base | |
| type NatNumMaxBound Word64 | |
Defined in Basement.Nat type NatNumMaxBound Word64 = 18446744073709551615 | |
| type Difference Word64 | |
Defined in Basement.Numerical.Subtractive | |
| type PrimSize Word64 | |
Defined in Basement.PrimType type PrimSize Word64 = 8 | |
| newtype MVector s Word64 | |
Defined in Data.Vector.Unboxed.Base | |
A value of type Ptr aa.
The type a will often be an instance of class
Storable which provides the marshalling operations.
However this is not essential, and you can provide your own operations
to access the pointer. For example you might write small foreign
functions to get or set the fields of a C struct.
Instances
| NFData1 Ptr | Since: deepseq-1.4.3.0 |
Defined in Control.DeepSeq | |
| Generic1 (URec (Ptr ()) :: k -> Type) | |
| Eq (Ptr a) | Since: base-2.1 |
| Ord (Ptr a) | Since: base-2.1 |
| Show (Ptr a) | Since: base-2.1 |
| NFData (Ptr a) | Since: deepseq-1.4.2.0 |
Defined in Control.DeepSeq | |
| Hashable (Ptr a) | |
Defined in Data.Hashable.Class | |
| Functor (URec (Ptr ()) :: Type -> Type) | Since: base-4.9.0.0 |
| Foldable (URec (Ptr ()) :: Type -> Type) | Since: base-4.9.0.0 |
Defined in Data.Foldable Methods fold :: Monoid m => URec (Ptr ()) m -> m # foldMap :: Monoid m => (a -> m) -> URec (Ptr ()) a -> m # foldr :: (a -> b -> b) -> b -> URec (Ptr ()) a -> b # foldr' :: (a -> b -> b) -> b -> URec (Ptr ()) a -> b # foldl :: (b -> a -> b) -> b -> URec (Ptr ()) a -> b # foldl' :: (b -> a -> b) -> b -> URec (Ptr ()) a -> b # foldr1 :: (a -> a -> a) -> URec (Ptr ()) a -> a # foldl1 :: (a -> a -> a) -> URec (Ptr ()) a -> a # toList :: URec (Ptr ()) a -> [a] # null :: URec (Ptr ()) a -> Bool # length :: URec (Ptr ()) a -> Int # elem :: Eq a => a -> URec (Ptr ()) a -> Bool # maximum :: Ord a => URec (Ptr ()) a -> a # minimum :: Ord a => URec (Ptr ()) a -> a # | |
| Traversable (URec (Ptr ()) :: Type -> Type) | Since: base-4.9.0.0 |
Defined in Data.Traversable Methods traverse :: Applicative f => (a -> f b) -> URec (Ptr ()) a -> f (URec (Ptr ()) b) # sequenceA :: Applicative f => URec (Ptr ()) (f a) -> f (URec (Ptr ()) a) # mapM :: Monad m => (a -> m b) -> URec (Ptr ()) a -> m (URec (Ptr ()) b) # sequence :: Monad m => URec (Ptr ()) (m a) -> m (URec (Ptr ()) a) # | |
| Eq (URec (Ptr ()) p) | Since: base-4.9.0.0 |
| Ord (URec (Ptr ()) p) | Since: base-4.9.0.0 |
Defined in GHC.Generics Methods compare :: URec (Ptr ()) p -> URec (Ptr ()) p -> Ordering # (<) :: URec (Ptr ()) p -> URec (Ptr ()) p -> Bool # (<=) :: URec (Ptr ()) p -> URec (Ptr ()) p -> Bool # (>) :: URec (Ptr ()) p -> URec (Ptr ()) p -> Bool # (>=) :: URec (Ptr ()) p -> URec (Ptr ()) p -> Bool # max :: URec (Ptr ()) p -> URec (Ptr ()) p -> URec (Ptr ()) p # min :: URec (Ptr ()) p -> URec (Ptr ()) p -> URec (Ptr ()) p # | |
| Generic (URec (Ptr ()) p) | |
| data URec (Ptr ()) (p :: k) | Used for marking occurrences of Since: base-4.9.0.0 |
| type Rep1 (URec (Ptr ()) :: k -> Type) | Since: base-4.9.0.0 |
Defined in GHC.Generics | |
| type Rep (URec (Ptr ()) p) | Since: base-4.9.0.0 |
Defined in GHC.Generics | |
A value of type FunPtr aa will normally be a foreign type,
a function type with zero or more arguments where
- the argument types are marshallable foreign types,
i.e.
Char,Int,Double,Float,Bool,Int8,Int16,Int32,Int64,Word8,Word16,Word32,Word64,PtraFunPtraStablePtranewtype. - the return type is either a marshallable foreign type or has the form
IOttis a marshallable foreign type or().
A value of type FunPtr a
foreign import ccall "stdlib.h &free" p_free :: FunPtr (Ptr a -> IO ())
or a pointer to a Haskell function created using a wrapper stub
declared to produce a FunPtr of the correct type. For example:
type Compare = Int -> Int -> Bool foreign import ccall "wrapper" mkCompare :: Compare -> IO (FunPtr Compare)
Calls to wrapper stubs like mkCompare allocate storage, which
should be released with freeHaskellFunPtr when no
longer required.
To convert FunPtr values to corresponding Haskell functions, one
can define a dynamic stub for the specific foreign type, e.g.
type IntFunction = CInt -> IO () foreign import ccall "dynamic" mkFun :: FunPtr IntFunction -> IntFunction
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
| Bifunctor Either | Since: base-4.8.0.0 |
| Eq2 Either | Since: base-4.9.0.0 |
| Ord2 Either | Since: base-4.9.0.0 |
Defined in Data.Functor.Classes | |
| Read2 Either | Since: base-4.9.0.0 |
Defined in Data.Functor.Classes Methods liftReadsPrec2 :: (Int -> ReadS a) -> ReadS [a] -> (Int -> ReadS b) -> ReadS [b] -> Int -> ReadS (Either a b) # liftReadList2 :: (Int -> ReadS a) -> ReadS [a] -> (Int -> ReadS b) -> ReadS [b] -> ReadS [Either a b] # liftReadPrec2 :: ReadPrec a -> ReadPrec [a] -> ReadPrec b -> ReadPrec [b] -> ReadPrec (Either a b) # liftReadListPrec2 :: ReadPrec a -> ReadPrec [a] -> ReadPrec b -> ReadPrec [b] -> ReadPrec [Either a b] # | |
| Show2 Either | Since: base-4.9.0.0 |
| NFData2 Either | Since: deepseq-1.4.3.0 |
Defined in Control.DeepSeq | |
| Hashable2 Either | |
Defined in Data.Hashable.Class | |
| MonadError e (Either e) | |
Defined in Control.Monad.Error.Class | |
| Monad (Either e) | Since: base-4.4.0.0 |
| Functor (Either a) | Since: base-3.0 |
| Applicative (Either e) | Since: base-3.0 |
| Foldable (Either a) | Since: base-4.7.0.0 |
Defined in Data.Foldable Methods fold :: Monoid m => Either a m -> m # foldMap :: Monoid m => (a0 -> m) -> Either a a0 -> m # foldr :: (a0 -> b -> b) -> b -> Either a a0 -> b # foldr' :: (a0 -> b -> b) -> b -> Either a a0 -> b # foldl :: (b -> a0 -> b) -> b -> Either a a0 -> b # foldl' :: (b -> a0 -> b) -> b -> Either a a0 -> b # foldr1 :: (a0 -> a0 -> a0) -> Either a a0 -> a0 # foldl1 :: (a0 -> a0 -> a0) -> Either a a0 -> a0 # toList :: Either a a0 -> [a0] # length :: Either a a0 -> Int # elem :: Eq a0 => a0 -> Either a a0 -> Bool # maximum :: Ord a0 => Either a a0 -> a0 # minimum :: Ord a0 => Either a a0 -> a0 # | |
| Traversable (Either a) | Since: base-4.7.0.0 |
Defined in Data.Traversable | |
| Eq a => Eq1 (Either a) | Since: base-4.9.0.0 |
| Ord a => Ord1 (Either a) | Since: base-4.9.0.0 |
Defined in Data.Functor.Classes | |
| Read a => Read1 (Either a) | Since: base-4.9.0.0 |
Defined in Data.Functor.Classes Methods liftReadsPrec :: (Int -> ReadS a0) -> ReadS [a0] -> Int -> ReadS (Either a a0) # liftReadList :: (Int -> ReadS a0) -> ReadS [a0] -> ReadS [Either a a0] # liftReadPrec :: ReadPrec a0 -> ReadPrec [a0] -> ReadPrec (Either a a0) # liftReadListPrec :: ReadPrec a0 -> ReadPrec [a0] -> ReadPrec [Either a a0] # | |
| Show a => Show1 (Either a) | Since: base-4.9.0.0 |
| NFData a => NFData1 (Either a) | Since: deepseq-1.4.3.0 |
Defined in Control.DeepSeq | |
| e ~ SomeException => MonadCatch (Either e) | |
| e ~ SomeException => MonadMask (Either e) | |
Defined in Control.Monad.Catch | |
| e ~ SomeException => MonadThrow (Either e) | |
Defined in Control.Monad.Catch | |
| Hashable a => Hashable1 (Either a) | |
Defined in Data.Hashable.Class | |
| MonadFailure (Either a) | |
| Generic1 (Either a :: Type -> Type) | |
| (Eq a, Eq b) => Eq (Either a b) | Since: base-2.1 |
| (Ord a, Ord b) => Ord (Either a b) | Since: base-2.1 |
| (Read a, Read b) => Read (Either a b) | Since: base-3.0 |
| (Show a, Show b) => Show (Either a b) | Since: base-3.0 |
| Generic (Either a b) | |
| Semigroup (Either a b) | Since: base-4.9.0.0 |
| (Lift a, Lift b) => Lift (Either a b) | |
| (Binary a, Binary b) => Binary (Either a b) | |
| (NFData a, NFData b) => NFData (Either a b) | |
Defined in Control.DeepSeq | |
| (Hashable a, Hashable b) => Hashable (Either a b) | |
Defined in Data.Hashable.Class | |
| (TypeError (DisallowInstance "Either") :: Constraint) => Container (Either a b) | |
Defined in Universum.Container.Class Methods toList :: Either a b -> [Element (Either a b)] # foldr :: (Element (Either a b) -> b0 -> b0) -> b0 -> Either a b -> b0 # foldl :: (b0 -> Element (Either a b) -> b0) -> b0 -> Either a b -> b0 # foldl' :: (b0 -> Element (Either a b) -> b0) -> b0 -> Either a b -> b0 # elem :: Element (Either a b) -> Either a b -> Bool # maximum :: Either a b -> Element (Either a b) # minimum :: Either a b -> Element (Either a b) # foldMap :: Monoid m => (Element (Either a b) -> m) -> Either a b -> m # fold :: Either a b -> Element (Either a b) # foldr' :: (Element (Either a b) -> b0 -> b0) -> b0 -> Either a b -> b0 # foldr1 :: (Element (Either a b) -> Element (Either a b) -> Element (Either a b)) -> Either a b -> Element (Either a b) # foldl1 :: (Element (Either a b) -> Element (Either a b) -> Element (Either a b)) -> Either a b -> Element (Either a b) # notElem :: Element (Either a b) -> Either a b -> Bool # all :: (Element (Either a b) -> Bool) -> Either a b -> Bool # any :: (Element (Either a b) -> Bool) -> Either a b -> Bool # find :: (Element (Either a b) -> Bool) -> Either a b -> Maybe (Element (Either a b)) # | |
| (a ~ a', b ~ b') => Each (Either a a') (Either b b') a b | |
Defined in Lens.Micro.Internal | |
| type Failure (Either a) | |
Defined in Basement.Monad type Failure (Either a) = a | |
| 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 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 Element (Either a b) | |
Defined in Universum.Container.Class | |
data Constraint #
The kind of constraints, like Show a
type family CmpNat (a :: Nat) (b :: Nat) :: Ordering where ... #
Comparison of type-level naturals, as a function.
Since: base-4.7.0.0
class a ~R# b => Coercible (a :: k0) (b :: k0) #
Coercible is a two-parameter class that has instances for types a and b if
the compiler can infer that they have the same representation. This class
does not have regular instances; instead they are created on-the-fly during
type-checking. Trying to manually declare an instance of Coercible
is an error.
Nevertheless one can pretend that the following three kinds of instances exist. First, as a trivial base-case:
instance Coercible a a
Furthermore, for every type constructor there is
an instance that allows to coerce under the type constructor. For
example, let D be a prototypical type constructor (data or
newtype) with three type arguments, which have roles nominal,
representational resp. phantom. Then there is an instance of
the form
instance Coercible b b' => Coercible (D a b c) (D a b' c')
Note that the nominal type arguments are equal, the
representational type arguments can differ, but need to have a
Coercible instance themself, and the phantom type arguments can be
changed arbitrarily.
The third kind of instance exists for every newtype NT = MkNT T and
comes in two variants, namely
instance Coercible a T => Coercible a NT
instance Coercible T b => Coercible NT b
This instance is only usable if the constructor MkNT is in scope.
If, as a library author of a type constructor like Set a, you
want to prevent a user of your module to write
coerce :: Set T -> Set NT,
you need to set the role of Set's type parameter to nominal,
by writing
type role Set nominal
For more details about this feature, please refer to Safe Coercions by Joachim Breitner, Richard A. Eisenberg, Simon Peyton Jones and Stephanie Weirich.
Since: ghc-prim-4.7.0.0
CallStacks are a lightweight method of obtaining a
partial call-stack at any point in the program.
A function can request its call-site with the HasCallStack constraint.
For example, we can define
putStrLnWithCallStack :: HasCallStack => String -> IO ()
as a variant of putStrLn that will get its call-site and print it,
along with the string given as argument. We can access the
call-stack inside putStrLnWithCallStack with callStack.
putStrLnWithCallStack :: HasCallStack => String -> IO () putStrLnWithCallStack msg = do putStrLn msg putStrLn (prettyCallStack callStack)
Thus, if we call putStrLnWithCallStack we will get a formatted call-stack
alongside our string.
>>>putStrLnWithCallStack "hello"hello CallStack (from HasCallStack): putStrLnWithCallStack, called at <interactive>:2:1 in interactive:Ghci1
GHC solves HasCallStack constraints in three steps:
- If there is a
CallStackin scope -- i.e. the enclosing function has aHasCallStackconstraint -- GHC will append the new call-site to the existingCallStack. - If there is no
CallStackin scope -- e.g. in the GHCi session above -- and the enclosing definition does not have an explicit type signature, GHC will infer aHasCallStackconstraint for the enclosing definition (subject to the monomorphism restriction). - If there is no
CallStackin scope and the enclosing definition has an explicit type signature, GHC will solve theHasCallStackconstraint for the singletonCallStackcontaining just the current call-site.
CallStacks do not interact with the RTS and do not require compilation
with -prof. On the other hand, as they are built up explicitly via the
HasCallStack constraints, they will generally not contain as much
information as the simulated call-stacks maintained by the RTS.
A CallStack is a [(String, SrcLoc)]. The String is the name of
function that was called, the SrcLoc is the call-site. The list is
ordered with the most recently called function at the head.
NOTE: The intrepid user may notice that HasCallStack is just an
alias for an implicit parameter ?callStack :: CallStack. This is an
implementation detail and should not be considered part of the
CallStack API, we may decide to change the implementation in the
future.
Since: base-4.8.1.0
Haskell defines operations to read and write characters from and to files,
represented by values of type Handle. Each value of this type is a
handle: a record used by the Haskell run-time system to manage I/O
with file system objects. A handle has at least the following properties:
- whether it manages input or output or both;
- whether it is open, closed or semi-closed;
- whether the object is seekable;
- whether buffering is disabled, or enabled on a line or block basis;
- a buffer (whose length may be zero).
Most handles will also have a current I/O position indicating where the next
input or output operation will occur. A handle is readable if it
manages only input or both input and output; likewise, it is writable if
it manages only output or both input and output. A handle is open when
first allocated.
Once it is closed it can no longer be used for either input or output,
though an implementation cannot re-use its storage while references
remain to it. Handles are in the Show and Eq classes. The string
produced by showing a handle is system dependent; it should include
enough information to identify the handle for debugging. A handle is
equal according to == only to itself; no attempt
is made to compare the internal state of different handles for equality.
integralEnumFromThenTo :: Integral a => a -> a -> a -> [a] #
integralEnumFromTo :: Integral a => a -> a -> [a] #
integralEnumFromThen :: (Integral a, Bounded a) => a -> a -> [a] #
integralEnumFrom :: (Integral a, Bounded a) => a -> [a] #
numericEnumFromThenTo :: (Ord a, Fractional a) => a -> a -> a -> [a] #
numericEnumFromTo :: (Ord a, Fractional a) => a -> a -> [a] #
numericEnumFromThen :: Fractional a => a -> a -> [a] #
numericEnumFrom :: Fractional a => a -> [a] #
notANumber :: Rational #
ratioPrec1 :: Int #
underflowError :: a #
overflowError :: a #
divZeroError :: a #
reduce :: Integral a => a -> a -> Ratio a #
reduce is a subsidiary function used only in this module.
It normalises a ratio by dividing both numerator and denominator by
their greatest common divisor.
boundedEnumFromThen :: (Enum a, Bounded a) => a -> a -> [a] #
boundedEnumFrom :: (Enum a, Bounded a) => a -> [a] #
newtype Compose (f :: k -> Type) (g :: k1 -> k) (a :: k1) :: forall k k1. (k -> Type) -> (k1 -> k) -> k1 -> Type infixr 9 #
Right-to-left composition of functors. The composition of applicative functors is always applicative, but the composition of monads is not always a monad.
Constructors
| Compose infixr 9 | |
Fields
| |
Instances
| Functor f => Generic1 (Compose f g :: k -> Type) | |
| Unbox (f (g a)) => Vector Vector (Compose f g a) | |
Defined in Data.Vector.Unboxed.Base Methods basicUnsafeFreeze :: PrimMonad m => Mutable Vector (PrimState m) (Compose f g a) -> m (Vector (Compose f g a)) basicUnsafeThaw :: PrimMonad m => Vector (Compose f g a) -> m (Mutable Vector (PrimState m) (Compose f g a)) basicLength :: Vector (Compose f g a) -> Int basicUnsafeSlice :: Int -> Int -> Vector (Compose f g a) -> Vector (Compose f g a) basicUnsafeIndexM :: Monad m => Vector (Compose f g a) -> Int -> m (Compose f g a) basicUnsafeCopy :: PrimMonad m => Mutable Vector (PrimState m) (Compose f g a) -> Vector (Compose f g a) -> m () elemseq :: Vector (Compose f g a) -> Compose f g a -> b -> b | |
| Unbox (f (g a)) => MVector MVector (Compose f g a) | |
Defined in Data.Vector.Unboxed.Base Methods basicLength :: MVector s (Compose f g a) -> Int basicUnsafeSlice :: Int -> Int -> MVector s (Compose f g a) -> MVector s (Compose f g a) basicOverlaps :: MVector s (Compose f g a) -> MVector s (Compose f g a) -> Bool basicUnsafeNew :: PrimMonad m => Int -> m (MVector (PrimState m) (Compose f g a)) basicInitialize :: PrimMonad m => MVector (PrimState m) (Compose f g a) -> m () basicUnsafeReplicate :: PrimMonad m => Int -> Compose f g a -> m (MVector (PrimState m) (Compose f g a)) basicUnsafeRead :: PrimMonad m => MVector (PrimState m) (Compose f g a) -> Int -> m (Compose f g a) basicUnsafeWrite :: PrimMonad m => MVector (PrimState m) (Compose f g a) -> Int -> Compose f g a -> m () basicClear :: PrimMonad m => MVector (PrimState m) (Compose f g a) -> m () basicSet :: PrimMonad m => MVector (PrimState m) (Compose f g a) -> Compose f g a -> m () basicUnsafeCopy :: PrimMonad m => MVector (PrimState m) (Compose f g a) -> MVector (PrimState m) (Compose f g a) -> m () basicUnsafeMove :: PrimMonad m => MVector (PrimState m) (Compose f g a) -> MVector (PrimState m) (Compose f g a) -> m () basicUnsafeGrow :: PrimMonad m => MVector (PrimState m) (Compose f g a) -> Int -> m (MVector (PrimState m) (Compose f g a)) | |
| (Functor f, Functor g) => Functor (Compose f g) | Since: base-4.9.0.0 |
| (Applicative f, Applicative g) => Applicative (Compose f g) | Since: base-4.9.0.0 |
Defined in Data.Functor.Compose | |
| (Foldable f, Foldable g) => Foldable (Compose f g) | Since: base-4.9.0.0 |
Defined in Data.Functor.Compose Methods fold :: Monoid m => Compose f g m -> m # foldMap :: Monoid m => (a -> m) -> Compose f g a -> m # foldr :: (a -> b -> b) -> b -> Compose f g a -> b # foldr' :: (a -> b -> b) -> b -> Compose f g a -> b # foldl :: (b -> a -> b) -> b -> Compose f g a -> b # foldl' :: (b -> a -> b) -> b -> Compose f g a -> b # foldr1 :: (a -> a -> a) -> Compose f g a -> a # foldl1 :: (a -> a -> a) -> Compose f g a -> a # toList :: Compose f g a -> [a] # null :: Compose f g a -> Bool # length :: Compose f g a -> Int # elem :: Eq a => a -> Compose f g a -> Bool # maximum :: Ord a => Compose f g a -> a # minimum :: Ord a => Compose f g a -> a # | |
| (Traversable f, Traversable g) => Traversable (Compose f g) | Since: base-4.9.0.0 |
Defined in Data.Functor.Compose | |
| (Eq1 f, Eq1 g) => Eq1 (Compose f g) | Since: base-4.9.0.0 |
| (Ord1 f, Ord1 g) => Ord1 (Compose f g) | Since: base-4.9.0.0 |
Defined in Data.Functor.Compose | |
| (Read1 f, Read1 g) => Read1 (Compose f g) | Since: base-4.9.0.0 |
Defined in Data.Functor.Compose Methods liftReadsPrec :: (Int -> ReadS a) -> ReadS [a] -> Int -> ReadS (Compose f g a) # liftReadList :: (Int -> ReadS a) -> ReadS [a] -> ReadS [Compose f g a] # liftReadPrec :: ReadPrec a -> ReadPrec [a] -> ReadPrec (Compose f g a) # liftReadListPrec :: ReadPrec a -> ReadPrec [a] -> ReadPrec [Compose f g a] # | |
| (Show1 f, Show1 g) => Show1 (Compose f g) | Since: base-4.9.0.0 |
| (Alternative f, Applicative g) => Alternative (Compose f g) | Since: base-4.9.0.0 |
| (NFData1 f, NFData1 g) => NFData1 (Compose f g) | Since: deepseq-1.4.3.0 |
Defined in Control.DeepSeq | |
| (Hashable1 f, Hashable1 g) => Hashable1 (Compose f g) | |
Defined in Data.Hashable.Class | |
| (Eq1 f, Eq1 g, Eq a) => Eq (Compose f g a) | Since: base-4.9.0.0 |
| (Typeable a, Typeable f, Typeable g, Typeable k1, Typeable k2, Data (f (g a))) => Data (Compose f g a) | Since: base-4.9.0.0 |
Defined in Data.Functor.Compose Methods gfoldl :: (forall d b. Data d => c (d -> b) -> d -> c b) -> (forall g0. g0 -> c g0) -> Compose f g a -> c (Compose f g a) # gunfold :: (forall b r. Data b => c (b -> r) -> c r) -> (forall r. r -> c r) -> Constr -> c (Compose f g a) # toConstr :: Compose f g a -> Constr # dataTypeOf :: Compose f g a -> DataType # dataCast1 :: Typeable t => (forall d. Data d => c (t d)) -> Maybe (c (Compose f g a)) # dataCast2 :: Typeable t => (forall d e. (Data d, Data e) => c (t d e)) -> Maybe (c (Compose f g a)) # gmapT :: (forall b. Data b => b -> b) -> Compose f g a -> Compose f g a # gmapQl :: (r -> r' -> r) -> r -> (forall d. Data d => d -> r') -> Compose f g a -> r # gmapQr :: (r' -> r -> r) -> r -> (forall d. Data d => d -> r') -> Compose f g a -> r # gmapQ :: (forall d. Data d => d -> u) -> Compose f g a -> [u] # gmapQi :: Int -> (forall d. Data d => d -> u) -> Compose f g a -> u # gmapM :: Monad m => (forall d. Data d => d -> m d) -> Compose f g a -> m (Compose f g a) # gmapMp :: MonadPlus m => (forall d. Data d => d -> m d) -> Compose f g a -> m (Compose f g a) # gmapMo :: MonadPlus m => (forall d. Data d => d -> m d) -> Compose f g a -> m (Compose f g a) # | |
| (Ord1 f, Ord1 g, Ord a) => Ord (Compose f g a) | Since: base-4.9.0.0 |
Defined in Data.Functor.Compose Methods compare :: Compose f g a -> Compose f g a -> Ordering # (<) :: Compose f g a -> Compose f g a -> Bool # (<=) :: Compose f g a -> Compose f g a -> Bool # (>) :: Compose f g a -> Compose f g a -> Bool # (>=) :: Compose f g a -> Compose f g a -> Bool # | |
| (Read1 f, Read1 g, Read a) => Read (Compose f g a) | Since: base-4.9.0.0 |
| (Show1 f, Show1 g, Show a) => Show (Compose f g a) | Since: base-4.9.0.0 |
| Generic (Compose f g a) | |
| (NFData1 f, NFData1 g, NFData a) => NFData (Compose f g a) | Since: deepseq-1.4.3.0 |
Defined in Control.DeepSeq | |
| (Hashable1 f, Hashable1 g, Hashable a) => Hashable (Compose f g a) | |
Defined in Data.Hashable.Class | |
| Unbox (f (g a)) => Unbox (Compose f g a) | |
Defined in Data.Vector.Unboxed.Base | |
| type Rep1 (Compose f g :: k -> Type) | Since: base-4.9.0.0 |
Defined in Data.Functor.Compose | |
| newtype MVector s (Compose f g a) | |
Defined in Data.Vector.Unboxed.Base | |
| type Rep (Compose f g a) | Since: base-4.9.0.0 |
Defined in Data.Functor.Compose | |
| newtype Vector (Compose f g a) | |
Defined in Data.Vector.Unboxed.Base | |
Since Void values logically don't exist, this witnesses the
logical reasoning tool of "ex falso quodlibet".
>>>let x :: Either Void Int; x = Right 5>>>:{case x of Right r -> r Left l -> absurd l :} 5
Since: base-4.8.0.0
Uninhabited data type
Since: base-4.8.0.0
Instances
| Eq Void | Since: base-4.8.0.0 |
| Data Void | Since: base-4.8.0.0 |
Defined in Data.Void Methods gfoldl :: (forall d b. Data d => c (d -> b) -> d -> c b) -> (forall g. g -> c g) -> Void -> c Void # gunfold :: (forall b r. Data b => c (b -> r) -> c r) -> (forall r. r -> c r) -> Constr -> c Void # dataTypeOf :: Void -> DataType # dataCast1 :: Typeable t => (forall d. Data d => c (t d)) -> Maybe (c Void) # dataCast2 :: Typeable t => (forall d e. (Data d, Data e) => c (t d e)) -> Maybe (c Void) # gmapT :: (forall b. Data b => b -> b) -> Void -> Void # gmapQl :: (r -> r' -> r) -> r -> (forall d. Data d => d -> r') -> Void -> r # gmapQr :: (r' -> r -> r) -> r -> (forall d. Data d => d -> r') -> Void -> r # gmapQ :: (forall d. Data d => d -> u) -> Void -> [u] # gmapQi :: Int -> (forall d. Data d => d -> u) -> Void -> u # gmapM :: Monad m => (forall d. Data d => d -> m d) -> Void -> m Void # gmapMp :: MonadPlus m => (forall d. Data d => d -> m d) -> Void -> m Void # gmapMo :: MonadPlus m => (forall d. Data d => d -> m d) -> Void -> m Void # | |
| Ord Void | Since: base-4.8.0.0 |
| Read Void | Reading a Since: base-4.8.0.0 |
| Show Void | Since: base-4.8.0.0 |
| Ix Void | Since: base-4.8.0.0 |
| Generic Void | |
| Semigroup Void | Since: base-4.9.0.0 |
| Exception Void | Since: base-4.8.0.0 |
Defined in Data.Void Methods toException :: Void -> SomeException # fromException :: SomeException -> Maybe Void # displayException :: Void -> String # | |
| Binary Void | Since: 0.8.0.0 |
| NFData Void | Since: deepseq-1.4.0.0 |
Defined in Control.DeepSeq | |
| Hashable Void | |
Defined in Data.Hashable.Class | |
| type Rep Void | Since: base-4.8.0.0 |
mtimesDefault :: (Integral b, Monoid a) => b -> a -> a #
data WrappedMonoid m #
Provide a Semigroup for an arbitrary Monoid.
NOTE: This is not needed anymore since Semigroup became a superclass of
Monoid in base-4.11 and this newtype be deprecated at some point in the future.
Instances
Option is effectively Maybe with a better instance of
Monoid, built off of an underlying Semigroup instead of an
underlying Monoid.
Ideally, this type would not exist at all and we would just fix the
Monoid instance of Maybe.
In GHC 8.4 and higher, the Monoid instance for Maybe has been
corrected to lift a Semigroup instance instead of a Monoid
instance. Consequently, this type is no longer useful. It will be
marked deprecated in GHC 8.8 and removed in GHC 8.10.
Instances
| Monad Option | Since: base-4.9.0.0 |
| Functor Option | Since: base-4.9.0.0 |
| MonadFix Option | Since: base-4.9.0.0 |
Defined in Data.Semigroup | |
| Applicative Option | Since: base-4.9.0.0 |
| Foldable Option | Since: base-4.9.0.0 |
Defined in Data.Semigroup Methods fold :: Monoid m => Option m -> m # foldMap :: Monoid m => (a -> m) -> Option a -> m # foldr :: (a -> b -> b) -> b -> Option a -> b # foldr' :: (a -> b -> b) -> b -> Option a -> b # foldl :: (b -> a -> b) -> b -> Option a -> b # foldl' :: (b -> a -> b) -> b -> Option a -> b # foldr1 :: (a -> a -> a) -> Option a -> a # foldl1 :: (a -> a -> a) -> Option a -> a # elem :: Eq a => a -> Option a -> Bool # maximum :: Ord a => Option a -> a # minimum :: Ord a => Option a -> a # | |
| Traversable Option | Since: base-4.9.0.0 |
| Alternative Option | Since: base-4.9.0.0 |
| MonadPlus Option | Since: base-4.9.0.0 |
| NFData1 Option | Since: deepseq-1.4.3.0 |
Defined in Control.DeepSeq | |
| Eq a => Eq (Option a) | Since: base-4.9.0.0 |
| Data a => Data (Option a) | Since: base-4.9.0.0 |
Defined in Data.Semigroup Methods gfoldl :: (forall d b. Data d => c (d -> b) -> d -> c b) -> (forall g. g -> c g) -> Option a -> c (Option a) # gunfold :: (forall b r. Data b => c (b -> r) -> c r) -> (forall r. r -> c r) -> Constr -> c (Option a) # toConstr :: Option a -> Constr # dataTypeOf :: Option a -> DataType # dataCast1 :: Typeable t => (forall d. Data d => c (t d)) -> Maybe (c (Option a)) # dataCast2 :: Typeable t => (forall d e. (Data d, Data e) => c (t d e)) -> Maybe (c (Option a)) # gmapT :: (forall b. Data b => b -> b) -> Option a -> Option a # gmapQl :: (r -> r' -> r) -> r -> (forall d. Data d => d -> r') -> Option a -> r # gmapQr :: (r' -> r -> r) -> r -> (forall d. Data d => d -> r') -> Option a -> r # gmapQ :: (forall d. Data d => d -> u) -> Option a -> [u] # gmapQi :: Int -> (forall d. Data d => d -> u) -> Option a -> u # gmapM :: Monad m => (forall d. Data d => d -> m d) -> Option a -> m (Option a) # gmapMp :: MonadPlus m => (forall d. Data d => d -> m d) -> Option a -> m (Option a) # gmapMo :: MonadPlus m => (forall d. Data d => d -> m d) -> Option a -> m (Option a) # | |
| Ord a => Ord (Option a) | Since: base-4.9.0.0 |
Defined in Data.Semigroup | |
| Read a => Read (Option a) | Since: base-4.9.0.0 |
| Show a => Show (Option a) | Since: base-4.9.0.0 |
| Generic (Option a) | |
| Semigroup a => Semigroup (Option a) | Since: base-4.9.0.0 |
| Semigroup a => Monoid (Option a) | Since: base-4.9.0.0 |
| Binary a => Binary (Option a) | Since: 0.8.4.0 |
| NFData a => NFData (Option a) | Since: deepseq-1.4.2.0 |
Defined in Control.DeepSeq | |
| Hashable a => Hashable (Option a) | |
Defined in Data.Hashable.Class | |
| Generic1 Option | |
| type Rep (Option a) | Since: base-4.9.0.0 |
Defined in Data.Semigroup | |
| type Rep1 Option | Since: base-4.9.0.0 |
Defined in Data.Semigroup | |
sortWith :: Ord b => (a -> b) -> [a] -> [a] #
The sortWith function sorts a list of elements using the
user supplied function to project something out of each element
class Bifunctor (p :: Type -> Type -> Type) where #
A bifunctor is a type constructor that takes
two type arguments and is a functor in both arguments. That
is, unlike with Functor, a type constructor such as Either
does not need to be partially applied for a Bifunctor
instance, and the methods in this class permit mapping
functions over the Left value or the Right value,
or both at the same time.
Formally, the class Bifunctor represents a bifunctor
from Hask -> Hask.
Intuitively it is a bifunctor where both the first and second arguments are covariant.
You can define a Bifunctor by either defining bimap or by
defining both first and second.
If you supply bimap, you should ensure that:
bimapidid≡id
If you supply first and second, ensure:
firstid≡idsecondid≡id
If you supply both, you should also ensure:
bimapf g ≡firstf.secondg
These ensure by parametricity:
bimap(f.g) (h.i) ≡bimapf h.bimapg ifirst(f.g) ≡firstf.firstgsecond(f.g) ≡secondf.secondg
Since: base-4.8.0.0
Methods
bimap :: (a -> b) -> (c -> d) -> p a c -> p b d #
Map over both arguments at the same time.
bimapf g ≡firstf.secondg
Examples
>>>bimap toUpper (+1) ('j', 3)('J',4)
>>>bimap toUpper (+1) (Left 'j')Left 'J'
>>>bimap toUpper (+1) (Right 3)Right 4
Instances
| Bifunctor Either | Since: base-4.8.0.0 |
| Bifunctor (,) | Since: base-4.8.0.0 |
| Bifunctor Arg | Since: base-4.9.0.0 |
| Bifunctor ((,,) x1) | Since: base-4.8.0.0 |
| Bifunctor (Const :: Type -> Type -> Type) | Since: base-4.8.0.0 |
| Bifunctor (K1 i :: Type -> Type -> Type) | Since: base-4.9.0.0 |
| Bifunctor ((,,,) x1 x2) | Since: base-4.8.0.0 |
| Bifunctor ((,,,,) x1 x2 x3) | Since: base-4.8.0.0 |
| Bifunctor ((,,,,,) x1 x2 x3 x4) | Since: base-4.8.0.0 |
| Bifunctor ((,,,,,,) x1 x2 x3 x4 x5) | Since: base-4.8.0.0 |
showStackTrace :: IO (Maybe String) #
Get a string representation of the current execution stack state.
getStackTrace :: IO (Maybe [Location]) #
Get a trace of the current execution stack state.
Returns Nothing if stack trace support isn't available on host machine.
class Monad m => MonadIO (m :: Type -> Type) where #
Monads in which IO computations may be embedded.
Any monad built by applying a sequence of monad transformers to the
IO monad will be an instance of this class.
Instances should satisfy the following laws, which state that liftIO
is a transformer of monads:
Instances
| MonadIO IO | Since: base-4.9.0.0 |
Defined in Control.Monad.IO.Class | |
| MonadIO Q | |
Defined in Language.Haskell.TH.Syntax | |
| MonadIO m => MonadIO (MaybeT m) | |
Defined in Control.Monad.Trans.Maybe | |
| MonadIO m => MonadIO (IdentityT m) | |
Defined in Control.Monad.Trans.Identity | |
| (Error e, MonadIO m) => MonadIO (ErrorT e m) | |
Defined in Control.Monad.Trans.Error | |
| MonadIO m => MonadIO (ExceptT e m) | |
Defined in Control.Monad.Trans.Except | |
| MonadIO m => MonadIO (ReaderT r m) | |
Defined in Control.Monad.Trans.Reader | |
| MonadIO m => MonadIO (StateT s m) | |
Defined in Control.Monad.Trans.State.Strict | |
unless :: Applicative f => Bool -> f () -> f () #
The reverse of when.
replicateM_ :: Applicative m => Int -> m a -> m () #
Like replicateM, but discards the result.
replicateM :: Applicative m => Int -> m a -> m [a] #
replicateM n actn times,
gathering the results.
foldM_ :: (Foldable t, Monad m) => (b -> a -> m b) -> b -> t a -> m () #
Like foldM, but discards the result.
foldM :: (Foldable t, Monad m) => (b -> a -> m b) -> b -> t a -> m b #
The foldM function is analogous to foldl, except that its result is
encapsulated in a monad. Note that foldM works from left-to-right over
the list arguments. This could be an issue where ( and the `folded
function' are not commutative.>>)
foldM f a1 [x1, x2, ..., xm] == do a2 <- f a1 x1 a3 <- f a2 x2 ... f am xm
If right-to-left evaluation is required, the input list should be reversed.
zipWithM_ :: Applicative m => (a -> b -> m c) -> [a] -> [b] -> m () #
zipWithM :: Applicative m => (a -> b -> m c) -> [a] -> [b] -> m [c] #
mapAndUnzipM :: Applicative m => (a -> m (b, c)) -> [a] -> m ([b], [c]) #
The mapAndUnzipM function maps its first argument over a list, returning
the result as a pair of lists. This function is mainly used with complicated
data structures or a state-transforming monad.
forever :: Applicative f => f a -> f b #
Repeat an action indefinitely.
Examples
A common use of forever is to process input from network sockets,
Handles, and channels
(e.g. MVar and
Chan).
For example, here is how we might implement an echo
server, using
forever both to listen for client connections on a network socket
and to echo client input on client connection handles:
echoServer :: Socket -> IO () echoServer socket =forever$ do client <- accept socketforkFinally(echo client) (\_ -> hClose client) where echo :: Handle -> IO () echo client =forever$ hGetLine client >>= hPutStrLn client
(>=>) :: Monad m => (a -> m b) -> (b -> m c) -> a -> m c infixr 1 #
Left-to-right composition of Kleisli arrows.
filterM :: Applicative m => (a -> m Bool) -> [a] -> m [a] #
This generalizes the list-based filter function.
foldMapDefault :: (Traversable t, Monoid m) => (a -> m) -> t a -> m #
fmapDefault :: Traversable t => (a -> b) -> t a -> t b #
This function may be used as a value for fmap in a Functor
instance, provided that traverse is defined. (Using
fmapDefault with a Traversable instance defined only by
sequenceA will result in infinite recursion.)
fmapDefaultf ≡runIdentity.traverse(Identity. f)
mapAccumR :: Traversable t => (a -> b -> (a, c)) -> a -> t b -> (a, t c) #
mapAccumL :: Traversable t => (a -> b -> (a, c)) -> a -> t b -> (a, t c) #
forM :: (Traversable t, Monad m) => t a -> (a -> m b) -> m (t b) #
optional :: Alternative f => f a -> f (Maybe a) #
One or none.
Lists, but with an Applicative functor based on zipping.
Constructors
| ZipList | |
Fields
| |
Instances
| Functor ZipList | Since: base-2.1 |
| 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 |
| 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 # 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 # | |
| Traversable ZipList | Since: base-4.9.0.0 |
| Alternative ZipList | Since: base-4.11.0.0 |
| NFData1 ZipList | Since: deepseq-1.4.3.0 |
Defined in Control.DeepSeq | |
| Eq a => Eq (ZipList a) | Since: base-4.7.0.0 |
| Ord a => Ord (ZipList a) | Since: base-4.7.0.0 |
| Read a => Read (ZipList a) | Since: base-4.7.0.0 |
| Show a => Show (ZipList a) | Since: base-4.7.0.0 |
| Generic (ZipList a) | |
| NFData a => NFData (ZipList a) | Since: deepseq-1.4.0.0 |
Defined in Control.DeepSeq | |
| Container (ZipList a) | |
Defined in Universum.Container.Class Methods toList :: ZipList a -> [Element (ZipList a)] # foldr :: (Element (ZipList a) -> b -> b) -> b -> ZipList a -> b # foldl :: (b -> Element (ZipList a) -> b) -> b -> ZipList a -> b # foldl' :: (b -> Element (ZipList a) -> b) -> b -> ZipList a -> b # elem :: Element (ZipList a) -> ZipList a -> Bool # maximum :: ZipList a -> Element (ZipList a) # minimum :: ZipList a -> Element (ZipList a) # foldMap :: Monoid m => (Element (ZipList a) -> m) -> ZipList a -> m # fold :: ZipList a -> Element (ZipList a) # foldr' :: (Element (ZipList a) -> b -> b) -> b -> ZipList a -> b # foldr1 :: (Element (ZipList a) -> Element (ZipList a) -> Element (ZipList a)) -> ZipList a -> Element (ZipList a) # foldl1 :: (Element (ZipList a) -> Element (ZipList a) -> Element (ZipList a)) -> ZipList a -> Element (ZipList a) # notElem :: Element (ZipList a) -> ZipList a -> Bool # all :: (Element (ZipList a) -> Bool) -> ZipList a -> Bool # any :: (Element (ZipList a) -> Bool) -> ZipList a -> Bool # find :: (Element (ZipList a) -> Bool) -> ZipList a -> Maybe (Element (ZipList a)) # | |
| Generic1 ZipList | |
| type Rep (ZipList a) | Since: base-4.7.0.0 |
Defined in Control.Applicative | |
| type Element (ZipList a) | |
Defined in Universum.Container.Class | |
| type Rep1 ZipList | Since: base-4.7.0.0 |
Defined in Control.Applicative | |
(&&&) :: Arrow a => a b c -> a b c' -> a b (c, c') infixr 3 #
Fanout: send the input to both argument arrows and combine their output.
The default definition may be overridden with a more efficient version if desired.
Identity functor and monad. (a non-strict monad)
Since: base-4.8.0.0
Constructors
| Identity | |
Fields
| |
Instances
withFrozenCallStack :: HasCallStack => (HasCallStack -> a) -> a #
Perform some computation without adding new entries to the CallStack.
Since: base-4.9.0.0
callStack :: HasCallStack -> CallStack #
A monad supporting atomic memory transactions.
Instances
| Monad STM | Since: base-4.3.0.0 |
| Functor STM | Since: base-4.3.0.0 |
| Applicative STM | Since: base-4.8.0.0 |
| Alternative STM | Since: base-4.8.0.0 |
| MonadPlus STM | Since: base-4.3.0.0 |
| MonadCatch STM | |
| MonadThrow STM | |
Defined in Control.Monad.Catch | |
Shared memory locations that support atomic memory transactions.
A mutable variable in the IO monad
Instances
| NFData1 IORef | Since: deepseq-1.4.3.0 |
Defined in Control.DeepSeq | |
| Eq (IORef a) | ^ Pointer equality. Since: base-4.1.0.0 |
| NFData (IORef a) | NOTE: Only strict in the reference and not the referenced value. Since: deepseq-1.4.2.0 |
Defined in Control.DeepSeq | |
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.
prettyCallStack :: CallStack -> String #
Pretty print a CallStack.
Since: base-4.9.0.0
prettySrcLoc :: SrcLoc -> String #
Pretty print a SrcLoc.
Since: base-4.9.0.0
class (Typeable e, Show e) => Exception e where #
Any type that you wish to throw or catch as an exception must be an
instance of the Exception class. The simplest case is a new exception
type directly below the root:
data MyException = ThisException | ThatException
deriving Show
instance Exception MyExceptionThe default method definitions in the Exception class do what we need
in this case. You can now throw and catch ThisException and
ThatException as exceptions:
*Main> throw ThisException `catch` \e -> putStrLn ("Caught " ++ show (e :: MyException))
Caught ThisException
In more complicated examples, you may wish to define a whole hierarchy of exceptions:
---------------------------------------------------------------------
-- Make the root exception type for all the exceptions in a compiler
data SomeCompilerException = forall e . Exception e => SomeCompilerException e
instance Show SomeCompilerException where
show (SomeCompilerException e) = show e
instance Exception SomeCompilerException
compilerExceptionToException :: Exception e => e -> SomeException
compilerExceptionToException = toException . SomeCompilerException
compilerExceptionFromException :: Exception e => SomeException -> Maybe e
compilerExceptionFromException x = do
SomeCompilerException a <- fromException x
cast a
---------------------------------------------------------------------
-- Make a subhierarchy for exceptions in the frontend of the compiler
data SomeFrontendException = forall e . Exception e => SomeFrontendException e
instance Show SomeFrontendException where
show (SomeFrontendException e) = show e
instance Exception SomeFrontendException where
toException = compilerExceptionToException
fromException = compilerExceptionFromException
frontendExceptionToException :: Exception e => e -> SomeException
frontendExceptionToException = toException . SomeFrontendException
frontendExceptionFromException :: Exception e => SomeException -> Maybe e
frontendExceptionFromException x = do
SomeFrontendException a <- fromException x
cast a
---------------------------------------------------------------------
-- Make an exception type for a particular frontend compiler exception
data MismatchedParentheses = MismatchedParentheses
deriving Show
instance Exception MismatchedParentheses where
toException = frontendExceptionToException
fromException = frontendExceptionFromExceptionWe can now catch a MismatchedParentheses exception as
MismatchedParentheses, SomeFrontendException or
SomeCompilerException, but not other types, e.g. IOException:
*Main> throw MismatchedParentheses `catch` \e -> putStrLn ("Caught " ++ show (e :: MismatchedParentheses))
Caught MismatchedParentheses
*Main> throw MismatchedParentheses `catch` \e -> putStrLn ("Caught " ++ show (e :: SomeFrontendException))
Caught MismatchedParentheses
*Main> throw MismatchedParentheses `catch` \e -> putStrLn ("Caught " ++ show (e :: SomeCompilerException))
Caught MismatchedParentheses
*Main> throw MismatchedParentheses `catch` \e -> putStrLn ("Caught " ++ show (e :: IOException))
*** Exception: MismatchedParentheses
Minimal complete definition
Nothing
Methods
toException :: e -> SomeException #
fromException :: SomeException -> Maybe e #
displayException :: e -> String #
Render this exception value in a human-friendly manner.
Default implementation: show
Since: base-4.8.0.0
Instances
newtype Const a (b :: k) :: forall k. Type -> k -> Type #
The Const functor.
Instances
| Generic1 (Const a :: k -> Type) | |
| Unbox a => Vector Vector (Const a b) | |
Defined in Data.Vector.Unboxed.Base Methods basicUnsafeFreeze :: PrimMonad m => Mutable Vector (PrimState m) (Const a b) -> m (Vector (Const a b)) basicUnsafeThaw :: PrimMonad m => Vector (Const a b) -> m (Mutable Vector (PrimState m) (Const a b)) basicLength :: Vector (Const a b) -> Int basicUnsafeSlice :: Int -> Int -> Vector (Const a b) -> Vector (Const a b) basicUnsafeIndexM :: Monad m => Vector (Const a b) -> Int -> m (Const a b) basicUnsafeCopy :: PrimMonad m => Mutable Vector (PrimState m) (Const a b) -> Vector (Const a b) -> m () | |
| Unbox a => MVector MVector (Const a b) | |
Defined in Data.Vector.Unboxed.Base Methods basicLength :: MVector s (Const a b) -> Int basicUnsafeSlice :: Int -> Int -> MVector s (Const a b) -> MVector s (Const a b) basicOverlaps :: MVector s (Const a b) -> MVector s (Const a b) -> Bool basicUnsafeNew :: PrimMonad m => Int -> m (MVector (PrimState m) (Const a b)) basicInitialize :: PrimMonad m => MVector (PrimState m) (Const a b) -> m () basicUnsafeReplicate :: PrimMonad m => Int -> Const a b -> m (MVector (PrimState m) (Const a b)) basicUnsafeRead :: PrimMonad m => MVector (PrimState m) (Const a b) -> Int -> m (Const a b) basicUnsafeWrite :: PrimMonad m => MVector (PrimState m) (Const a b) -> Int -> Const a b -> m () basicClear :: PrimMonad m => MVector (PrimState m) (Const a b) -> m () basicSet :: PrimMonad m => MVector (PrimState m) (Const a b) -> Const a b -> m () basicUnsafeCopy :: PrimMonad m => MVector (PrimState m) (Const a b) -> MVector (PrimState m) (Const a b) -> m () basicUnsafeMove :: PrimMonad m => MVector (PrimState m) (Const a b) -> MVector (PrimState m) (Const a b) -> m () basicUnsafeGrow :: PrimMonad m => MVector (PrimState m) (Const a b) -> Int -> m (MVector (PrimState m) (Const a b)) | |
| Bifunctor (Const :: Type -> Type -> Type) | Since: base-4.8.0.0 |
| Eq2 (Const :: Type -> Type -> Type) | Since: base-4.9.0.0 |
| Ord2 (Const :: Type -> Type -> Type) | Since: base-4.9.0.0 |
Defined in Data.Functor.Classes | |
| Read2 (Const :: Type -> Type -> Type) | Since: base-4.9.0.0 |
Defined in Data.Functor.Classes Methods liftReadsPrec2 :: (Int -> ReadS a) -> ReadS [a] -> (Int -> ReadS b) -> ReadS [b] -> Int -> ReadS (Const a b) # liftReadList2 :: (Int -> ReadS a) -> ReadS [a] -> (Int -> ReadS b) -> ReadS [b] -> ReadS [Const a b] # liftReadPrec2 :: ReadPrec a -> ReadPrec [a] -> ReadPrec b -> ReadPrec [b] -> ReadPrec (Const a b) # liftReadListPrec2 :: ReadPrec a -> ReadPrec [a] -> ReadPrec b -> ReadPrec [b] -> ReadPrec [Const a b] # | |
| Show2 (Const :: Type -> Type -> Type) | Since: base-4.9.0.0 |
| NFData2 (Const :: Type -> Type -> Type) | Since: deepseq-1.4.3.0 |
Defined in Control.DeepSeq | |
| Hashable2 (Const :: Type -> Type -> Type) | |
Defined in Data.Hashable.Class | |
| Functor (Const m :: Type -> Type) | Since: base-2.1 |
| Monoid m => Applicative (Const m :: Type -> Type) | Since: base-2.0.1 |
| 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 # 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 # | |
| Traversable (Const m :: Type -> Type) | Since: base-4.7.0.0 |
| Eq a => Eq1 (Const a :: Type -> Type) | Since: base-4.9.0.0 |
| Ord a => Ord1 (Const a :: Type -> Type) | Since: base-4.9.0.0 |
Defined in Data.Functor.Classes | |
| Read a => Read1 (Const a :: Type -> Type) | Since: base-4.9.0.0 |
Defined in Data.Functor.Classes Methods liftReadsPrec :: (Int -> ReadS a0) -> ReadS [a0] -> Int -> ReadS (Const a a0) # liftReadList :: (Int -> ReadS a0) -> ReadS [a0] -> ReadS [Const a a0] # liftReadPrec :: ReadPrec a0 -> ReadPrec [a0] -> ReadPrec (Const a a0) # liftReadListPrec :: ReadPrec a0 -> ReadPrec [a0] -> ReadPrec [Const a a0] # | |
| Show a => Show1 (Const a :: Type -> Type) | Since: base-4.9.0.0 |
| NFData a => NFData1 (Const a :: Type -> Type) | Since: deepseq-1.4.3.0 |
Defined in Control.DeepSeq | |
| Hashable a => Hashable1 (Const a :: Type -> Type) | |
Defined in Data.Hashable.Class | |
| Bounded a => Bounded (Const a b) | Since: base-4.9.0.0 |
| Enum a => Enum (Const a b) | Since: base-4.9.0.0 |
Defined in Data.Functor.Const Methods succ :: Const a b -> Const a b # pred :: Const a b -> Const a b # fromEnum :: Const a b -> Int # enumFrom :: Const a b -> [Const a b] # enumFromThen :: Const a b -> Const a b -> [Const a b] # enumFromTo :: Const a b -> Const a b -> [Const a b] # enumFromThenTo :: Const a b -> Const a b -> Const a b -> [Const a b] # | |
| Eq a => Eq (Const a b) | Since: base-4.9.0.0 |
| Floating a => Floating (Const a b) | Since: base-4.9.0.0 |
Defined in Data.Functor.Const Methods exp :: Const a b -> Const a b # log :: Const a b -> Const a b # sqrt :: Const a b -> Const a b # (**) :: Const a b -> Const a b -> Const a b # logBase :: Const a b -> Const a b -> Const a b # sin :: Const a b -> Const a b # cos :: Const a b -> Const a b # tan :: Const a b -> Const a b # asin :: Const a b -> Const a b # acos :: Const a b -> Const a b # atan :: Const a b -> Const a b # sinh :: Const a b -> Const a b # cosh :: Const a b -> Const a b # tanh :: Const a b -> Const a b # asinh :: Const a b -> Const a b # acosh :: Const a b -> Const a b # atanh :: Const a b -> Const a b # log1p :: Const a b -> Const a b # expm1 :: Const a b -> Const a b # | |
| Fractional a => Fractional (Const a b) | Since: base-4.9.0.0 |
| Integral a => Integral (Const a b) | Since: base-4.9.0.0 |
Defined in Data.Functor.Const Methods quot :: Const a b -> Const a b -> Const a b # rem :: Const a b -> Const a b -> Const a b # div :: Const a b -> Const a b -> Const a b # mod :: Const a b -> Const a b -> Const a b # quotRem :: Const a b -> Const a b -> (Const a b, Const a b) # divMod :: Const a b -> Const a b -> (Const a b, Const a b) # | |
| Num a => Num (Const a b) | Since: base-4.9.0.0 |
Defined in Data.Functor.Const | |
| Ord a => Ord (Const a b) | Since: base-4.9.0.0 |
| Read a => Read (Const a b) | This instance would be equivalent to the derived instances of the
Since: base-4.8.0.0 |
| Real a => Real (Const a b) | Since: base-4.9.0.0 |
Defined in Data.Functor.Const Methods toRational :: Const a b -> Rational # | |
| RealFloat a => RealFloat (Const a b) | Since: base-4.9.0.0 |
Defined in Data.Functor.Const Methods floatRadix :: Const a b -> Integer # floatDigits :: Const a b -> Int # floatRange :: Const a b -> (Int, Int) # decodeFloat :: Const a b -> (Integer, Int) # encodeFloat :: Integer -> Int -> Const a b # exponent :: Const a b -> Int # significand :: Const a b -> Const a b # scaleFloat :: Int -> Const a b -> Const a b # isInfinite :: Const a b -> Bool # isDenormalized :: Const a b -> Bool # isNegativeZero :: Const a b -> Bool # | |
| RealFrac a => RealFrac (Const a b) | Since: base-4.9.0.0 |
| Show a => Show (Const a b) | This instance would be equivalent to the derived instances of the
Since: base-4.8.0.0 |
| Ix a => Ix (Const a b) | Since: base-4.9.0.0 |
Defined in Data.Functor.Const Methods range :: (Const a b, Const a b) -> [Const a b] # index :: (Const a b, Const a b) -> Const a b -> Int # unsafeIndex :: (Const a b, Const a b) -> Const a b -> Int inRange :: (Const a b, Const a b) -> Const a b -> Bool # rangeSize :: (Const a b, Const a b) -> Int # unsafeRangeSize :: (Const a b, Const a b) -> Int | |
| IsString a => IsString (Const a b) | Since: base-4.9.0.0 |
Defined in Data.String Methods fromString :: String -> Const a b # | |
| Generic (Const a b) | |
| Semigroup a => Semigroup (Const a b) | Since: base-4.9.0.0 |
| Monoid a => Monoid (Const a b) | Since: base-4.9.0.0 |
| Storable a => Storable (Const a b) | Since: base-4.9.0.0 |
Defined in Data.Functor.Const | |
| Bits a => Bits (Const a b) | Since: base-4.9.0.0 |
Defined in Data.Functor.Const Methods (.&.) :: Const a b -> Const a b -> Const a b # (.|.) :: Const a b -> Const a b -> Const a b # xor :: Const a b -> Const a b -> Const a b # complement :: Const a b -> Const a b # shift :: Const a b -> Int -> Const a b # rotate :: Const a b -> Int -> Const a b # setBit :: Const a b -> Int -> Const a b # clearBit :: Const a b -> Int -> Const a b # complementBit :: Const a b -> Int -> Const a b # testBit :: Const a b -> Int -> Bool # bitSizeMaybe :: Const a b -> Maybe Int # isSigned :: Const a b -> Bool # shiftL :: Const a b -> Int -> Const a b # unsafeShiftL :: Const a b -> Int -> Const a b # shiftR :: Const a b -> Int -> Const a b # unsafeShiftR :: Const a b -> Int -> Const a b # rotateL :: Const a b -> Int -> Const a b # | |
| FiniteBits a => FiniteBits (Const a b) | Since: base-4.9.0.0 |
Defined in Data.Functor.Const Methods finiteBitSize :: Const a b -> Int # countLeadingZeros :: Const a b -> Int # countTrailingZeros :: Const a b -> Int # | |
| NFData a => NFData (Const a b) | Since: deepseq-1.4.0.0 |
Defined in Control.DeepSeq | |
| Hashable a => Hashable (Const a b) | |
Defined in Data.Hashable.Class | |
| Container (Const a b) | |
Defined in Universum.Container.Class Methods toList :: Const a b -> [Element (Const a b)] # foldr :: (Element (Const a b) -> b0 -> b0) -> b0 -> Const a b -> b0 # foldl :: (b0 -> Element (Const a b) -> b0) -> b0 -> Const a b -> b0 # foldl' :: (b0 -> Element (Const a b) -> b0) -> b0 -> Const a b -> b0 # elem :: Element (Const a b) -> Const a b -> Bool # maximum :: Const a b -> Element (Const a b) # minimum :: Const a b -> Element (Const a b) # foldMap :: Monoid m => (Element (Const a b) -> m) -> Const a b -> m # fold :: Const a b -> Element (Const a b) # foldr' :: (Element (Const a b) -> b0 -> b0) -> b0 -> Const a b -> b0 # foldr1 :: (Element (Const a b) -> Element (Const a b) -> Element (Const a b)) -> Const a b -> Element (Const a b) # foldl1 :: (Element (Const a b) -> Element (Const a b) -> Element (Const a b)) -> Const a b -> Element (Const a b) # notElem :: Element (Const a b) -> Const a b -> Bool # all :: (Element (Const a b) -> Bool) -> Const a b -> Bool # any :: (Element (Const a b) -> Bool) -> Const a b -> Bool # find :: (Element (Const a b) -> Bool) -> Const a b -> Maybe (Element (Const a b)) # | |
| Unbox a => Unbox (Const a b) | |
Defined in Data.Vector.Unboxed.Base | |
| type Rep1 (Const a :: k -> Type) | Since: base-4.9.0.0 |
Defined in Data.Functor.Const | |
| newtype MVector s (Const a b) | |
Defined in Data.Vector.Unboxed.Base | |
| type Rep (Const a b) | Since: base-4.9.0.0 |
Defined in Data.Functor.Const | |
| type Element (Const a b) | |
Defined in Universum.Container.Class | |
| newtype Vector (Const a b) | |
Defined in Data.Vector.Unboxed.Base | |
minimumBy :: Foldable t => (a -> a -> Ordering) -> t a -> a #
The least element of a non-empty structure with respect to the given comparison function.
maximumBy :: Foldable t => (a -> a -> Ordering) -> t a -> a #
The largest element of a non-empty structure with respect to the given comparison function.
concatMap :: Foldable t => (a -> [b]) -> t a -> [b] #
Map a function over all the elements of a container and concatenate the resulting lists.
concat :: Foldable t => t [a] -> [a] #
The concatenation of all the elements of a container of lists.
foldlM :: (Foldable t, Monad m) => (b -> a -> m b) -> b -> t a -> m b #
Monadic fold over the elements of a structure, associating to the left, i.e. from left to right.
foldrM :: (Foldable t, Monad m) => (a -> b -> m b) -> b -> t a -> m b #
Monadic fold over the elements of a structure, associating to the right, i.e. from right to left.
Maybe monoid returning the leftmost non-Nothing value.
First aAlt Maybe a
>>>getFirst (First (Just "hello") <> First Nothing <> First (Just "world"))Just "hello"
Use of this type is discouraged. Note the following equivalence:
Data.Monoid.First x === Maybe (Data.Semigroup.First x)
In addition to being equivalent in the structural sense, the two
also have Monoid instances that behave the same. This type will
be marked deprecated in GHC 8.8, and removed in GHC 8.10.
Users are advised to use the variant from Data.Semigroup and wrap
it in Maybe.
Instances
| Monad First | Since: base-4.8.0.0 |
| Functor First | Since: base-4.8.0.0 |
| Applicative First | Since: base-4.8.0.0 |
| Foldable First | Since: base-4.8.0.0 |
Defined in Data.Foldable Methods fold :: Monoid m => First m -> m # foldMap :: Monoid m => (a -> m) -> First a -> m # foldr :: (a -> b -> b) -> b -> First a -> b # foldr' :: (a -> b -> b) -> b -> First a -> b # foldl :: (b -> a -> b) -> b -> First a -> b # foldl' :: (b -> a -> b) -> b -> First a -> b # foldr1 :: (a -> a -> a) -> First a -> a # foldl1 :: (a -> a -> a) -> First a -> a # elem :: Eq a => a -> First a -> Bool # maximum :: Ord a => First a -> a # minimum :: Ord a => First a -> a # | |
| Traversable First | Since: base-4.8.0.0 |
| NFData1 First | Since: deepseq-1.4.3.0 |
Defined in Control.DeepSeq | |
| Eq a => Eq (First a) | Since: base-2.1 |
| Ord a => Ord (First a) | Since: base-2.1 |
| Read a => Read (First a) | Since: base-2.1 |
| Show a => Show (First a) | Since: base-2.1 |
| Generic (First a) | |
| Semigroup (First a) | Since: base-4.9.0.0 |
| Monoid (First a) | Since: base-2.1 |
| Binary a => Binary (First a) | Since: 0.8.4.0 |
| NFData a => NFData (First a) | Since: deepseq-1.4.0.0 |
Defined in Control.DeepSeq | |
| Container (First a) | |
Defined in Universum.Container.Class Methods toList :: First a -> [Element (First a)] # foldr :: (Element (First a) -> b -> b) -> b -> First a -> b # foldl :: (b -> Element (First a) -> b) -> b -> First a -> b # foldl' :: (b -> Element (First a) -> b) -> b -> First a -> b # elem :: Element (First a) -> First a -> Bool # maximum :: First a -> Element (First a) # minimum :: First a -> Element (First a) # foldMap :: Monoid m => (Element (First a) -> m) -> First a -> m # fold :: First a -> Element (First a) # foldr' :: (Element (First a) -> b -> b) -> b -> First a -> b # foldr1 :: (Element (First a) -> Element (First a) -> Element (First a)) -> First a -> Element (First a) # foldl1 :: (Element (First a) -> Element (First a) -> Element (First a)) -> First a -> Element (First a) # notElem :: Element (First a) -> First a -> Bool # all :: (Element (First a) -> Bool) -> First a -> Bool # any :: (Element (First a) -> Bool) -> First a -> Bool # find :: (Element (First a) -> Bool) -> First a -> Maybe (Element (First a)) # | |
| Generic1 First | |
| type Rep (First a) | Since: base-4.7.0.0 |
Defined in Data.Monoid | |
| type Element (First a) | |
Defined in Universum.Container.Class | |
| type Rep1 First | Since: base-4.7.0.0 |
Defined in Data.Monoid | |
Maybe monoid returning the rightmost non-Nothing value.
Last aDual (First a)Dual (Alt Maybe a)
>>>getLast (Last (Just "hello") <> Last Nothing <> Last (Just "world"))Just "world"
Use of this type is discouraged. Note the following equivalence:
Data.Monoid.Last x === Maybe (Data.Semigroup.Last x)
In addition to being equivalent in the structural sense, the two
also have Monoid instances that behave the same. This type will
be marked deprecated in GHC 8.8, and removed in GHC 8.10.
Users are advised to use the variant from Data.Semigroup and wrap
it in Maybe.
Instances
| Monad Last | Since: base-4.8.0.0 |
| Functor Last | Since: base-4.8.0.0 |
| Applicative Last | Since: base-4.8.0.0 |
| Foldable Last | Since: base-4.8.0.0 |
Defined in Data.Foldable Methods fold :: Monoid m => Last m -> m # foldMap :: Monoid m => (a -> m) -> Last a -> m # foldr :: (a -> b -> b) -> b -> Last a -> b # foldr' :: (a -> b -> b) -> b -> Last a -> b # foldl :: (b -> a -> b) -> b -> Last a -> b # foldl' :: (b -> a -> b) -> b -> Last a -> b # foldr1 :: (a -> a -> a) -> Last a -> a # foldl1 :: (a -> a -> a) -> Last a -> a # elem :: Eq a => a -> Last a -> Bool # maximum :: Ord a => Last a -> a # | |
| Traversable Last | Since: base-4.8.0.0 |
| NFData1 Last | Since: deepseq-1.4.3.0 |
Defined in Control.DeepSeq | |
| Eq a => Eq (Last a) | Since: base-2.1 |
| Ord a => Ord (Last a) | Since: base-2.1 |
| Read a => Read (Last a) | Since: base-2.1 |
| Show a => Show (Last a) | Since: base-2.1 |
| Generic (Last a) | |
| Semigroup (Last a) | Since: base-4.9.0.0 |
| Monoid (Last a) | Since: base-2.1 |
| Binary a => Binary (Last a) | Since: 0.8.4.0 |
| NFData a => NFData (Last a) | Since: deepseq-1.4.0.0 |
Defined in Control.DeepSeq | |
| Container (Last a) | |
Defined in Universum.Container.Class Methods toList :: Last a -> [Element (Last a)] # foldr :: (Element (Last a) -> b -> b) -> b -> Last a -> b # foldl :: (b -> Element (Last a) -> b) -> b -> Last a -> b # foldl' :: (b -> Element (Last a) -> b) -> b -> Last a -> b # elem :: Element (Last a) -> Last a -> Bool # maximum :: Last a -> Element (Last a) # minimum :: Last a -> Element (Last a) # foldMap :: Monoid m => (Element (Last a) -> m) -> Last a -> m # fold :: Last a -> Element (Last a) # foldr' :: (Element (Last a) -> b -> b) -> b -> Last a -> b # foldr1 :: (Element (Last a) -> Element (Last a) -> Element (Last a)) -> Last a -> Element (Last a) # foldl1 :: (Element (Last a) -> Element (Last a) -> Element (Last a)) -> Last a -> Element (Last a) # notElem :: Element (Last a) -> Last a -> Bool # all :: (Element (Last a) -> Bool) -> Last a -> Bool # any :: (Element (Last a) -> Bool) -> Last a -> Bool # find :: (Element (Last a) -> Bool) -> Last a -> Maybe (Element (Last a)) # | |
| Generic1 Last | |
| type Rep (Last a) | Since: base-4.7.0.0 |
Defined in Data.Monoid | |
| type Element (Last a) | |
Defined in Universum.Container.Class | |
| type Rep1 Last | Since: base-4.7.0.0 |
Defined in Data.Monoid | |
stimesMonoid :: (Integral b, Monoid a) => b -> a -> a #
stimesIdempotent :: Integral b => b -> a -> a #
The dual of a Monoid, obtained by swapping the arguments of mappend.
>>>getDual (mappend (Dual "Hello") (Dual "World"))"WorldHello"
Instances
| Monad Dual | Since: base-4.8.0.0 |
| Functor Dual | Since: base-4.8.0.0 |
| Applicative Dual | Since: base-4.8.0.0 |
| Foldable Dual | Since: base-4.8.0.0 |
Defined in Data.Foldable Methods fold :: Monoid m => Dual m -> m # foldMap :: Monoid m => (a -> m) -> Dual a -> m # foldr :: (a -> b -> b) -> b -> Dual a -> b # foldr' :: (a -> b -> b) -> b -> Dual a -> b # foldl :: (b -> a -> b) -> b -> Dual a -> b # foldl' :: (b -> a -> b) -> b -> Dual a -> b # foldr1 :: (a -> a -> a) -> Dual a -> a # foldl1 :: (a -> a -> a) -> Dual a -> a # elem :: Eq a => a -> Dual a -> Bool # maximum :: Ord a => Dual a -> a # | |
| Traversable Dual | Since: base-4.8.0.0 |
| NFData1 Dual | Since: deepseq-1.4.3.0 |
Defined in Control.DeepSeq | |
| Unbox a => Vector Vector (Dual a) | |
Defined in Data.Vector.Unboxed.Base Methods basicUnsafeFreeze :: PrimMonad m => Mutable Vector (PrimState m) (Dual a) -> m (Vector (Dual a)) basicUnsafeThaw :: PrimMonad m => Vector (Dual a) -> m (Mutable Vector (PrimState m) (Dual a)) basicLength :: Vector (Dual a) -> Int basicUnsafeSlice :: Int -> Int -> Vector (Dual a) -> Vector (Dual a) basicUnsafeIndexM :: Monad m => Vector (Dual a) -> Int -> m (Dual a) basicUnsafeCopy :: PrimMonad m => Mutable Vector (PrimState m) (Dual a) -> Vector (Dual a) -> m () | |
| Unbox a => MVector MVector (Dual a) | |
Defined in Data.Vector.Unboxed.Base Methods basicLength :: MVector s (Dual a) -> Int basicUnsafeSlice :: Int -> Int -> MVector s (Dual a) -> MVector s (Dual a) basicOverlaps :: MVector s (Dual a) -> MVector s (Dual a) -> Bool basicUnsafeNew :: PrimMonad m => Int -> m (MVector (PrimState m) (Dual a)) basicInitialize :: PrimMonad m => MVector (PrimState m) (Dual a) -> m () basicUnsafeReplicate :: PrimMonad m => Int -> Dual a -> m (MVector (PrimState m) (Dual a)) basicUnsafeRead :: PrimMonad m => MVector (PrimState m) (Dual a) -> Int -> m (Dual a) basicUnsafeWrite :: PrimMonad m => MVector (PrimState m) (Dual a) -> Int -> Dual a -> m () basicClear :: PrimMonad m => MVector (PrimState m) (Dual a) -> m () basicSet :: PrimMonad m => MVector (PrimState m) (Dual a) -> Dual a -> m () basicUnsafeCopy :: PrimMonad m => MVector (PrimState m) (Dual a) -> MVector (PrimState m) (Dual a) -> m () basicUnsafeMove :: PrimMonad m => MVector (PrimState m) (Dual a) -> MVector (PrimState m) (Dual a) -> m () basicUnsafeGrow :: PrimMonad m => MVector (PrimState m) (Dual a) -> Int -> m (MVector (PrimState m) (Dual a)) | |
| Bounded a => Bounded (Dual a) | Since: base-2.1 |
| Eq a => Eq (Dual a) | Since: base-2.1 |
| Ord a => Ord (Dual a) | Since: base-2.1 |
| Read a => Read (Dual a) | Since: base-2.1 |
| Show a => Show (Dual a) | Since: base-2.1 |
| Generic (Dual a) | |
| Semigroup a => Semigroup (Dual a) | Since: base-4.9.0.0 |
| Monoid a => Monoid (Dual a) | Since: base-2.1 |
| Binary a => Binary (Dual a) | Since: 0.8.4.0 |
| NFData a => NFData (Dual a) | Since: deepseq-1.4.0.0 |
Defined in Control.DeepSeq | |
| Container (Dual a) | |
Defined in Universum.Container.Class Methods toList :: Dual a -> [Element (Dual a)] # foldr :: (Element (Dual a) -> b -> b) -> b -> Dual a -> b # foldl :: (b -> Element (Dual a) -> b) -> b -> Dual a -> b # foldl' :: (b -> Element (Dual a) -> b) -> b -> Dual a -> b # elem :: Element (Dual a) -> Dual a -> Bool # maximum :: Dual a -> Element (Dual a) # minimum :: Dual a -> Element (Dual a) # foldMap :: Monoid m => (Element (Dual a) -> m) -> Dual a -> m # fold :: Dual a -> Element (Dual a) # foldr' :: (Element (Dual a) -> b -> b) -> b -> Dual a -> b # foldr1 :: (Element (Dual a) -> Element (Dual a) -> Element (Dual a)) -> Dual a -> Element (Dual a) # foldl1 :: (Element (Dual a) -> Element (Dual a) -> Element (Dual a)) -> Dual a -> Element (Dual a) # notElem :: Element (Dual a) -> Dual a -> Bool # all :: (Element (Dual a) -> Bool) -> Dual a -> Bool # any :: (Element (Dual a) -> Bool) -> Dual a -> Bool # find :: (Element (Dual a) -> Bool) -> Dual a -> Maybe (Element (Dual a)) # | |
| Unbox a => Unbox (Dual a) | |
Defined in Data.Vector.Unboxed.Base | |
| Generic1 Dual | |
| newtype MVector s (Dual a) | |
Defined in Data.Vector.Unboxed.Base | |
| type Rep (Dual a) | Since: base-4.7.0.0 |
Defined in Data.Semigroup.Internal | |
| type Element (Dual a) | |
Defined in Universum.Container.Class | |
| newtype Vector (Dual a) | |
Defined in Data.Vector.Unboxed.Base | |
| type Rep1 Dual | Since: base-4.7.0.0 |
Defined in Data.Semigroup.Internal | |
The monoid of endomorphisms under composition.
>>>let computation = Endo ("Hello, " ++) <> Endo (++ "!")>>>appEndo computation "Haskell""Hello, Haskell!"
Boolean monoid under conjunction (&&).
>>>getAll (All True <> mempty <> All False)False
>>>getAll (mconcat (map (\x -> All (even x)) [2,4,6,7,8]))False
Instances
| Bounded All | Since: base-2.1 |
| Eq All | Since: base-2.1 |
| Ord All | Since: base-2.1 |
| Read All | Since: base-2.1 |
| Show All | Since: base-2.1 |
| Generic All | |
| Semigroup All | Since: base-4.9.0.0 |
| Monoid All | Since: base-2.1 |
| Binary All | Since: 0.8.4.0 |
| NFData All | Since: deepseq-1.4.0.0 |
Defined in Control.DeepSeq | |
| Unbox All | |
Defined in Data.Vector.Unboxed.Base | |
| Vector Vector All | |
Defined in Data.Vector.Unboxed.Base Methods basicUnsafeFreeze :: PrimMonad m => Mutable Vector (PrimState m) All -> m (Vector All) basicUnsafeThaw :: PrimMonad m => Vector All -> m (Mutable Vector (PrimState m) All) basicLength :: Vector All -> Int basicUnsafeSlice :: Int -> Int -> Vector All -> Vector All basicUnsafeIndexM :: Monad m => Vector All -> Int -> m All basicUnsafeCopy :: PrimMonad m => Mutable Vector (PrimState m) All -> Vector All -> m () | |
| MVector MVector All | |
Defined in Data.Vector.Unboxed.Base Methods basicLength :: MVector s All -> Int basicUnsafeSlice :: Int -> Int -> MVector s All -> MVector s All basicOverlaps :: MVector s All -> MVector s All -> Bool basicUnsafeNew :: PrimMonad m => Int -> m (MVector (PrimState m) All) basicInitialize :: PrimMonad m => MVector (PrimState m) All -> m () basicUnsafeReplicate :: PrimMonad m => Int -> All -> m (MVector (PrimState m) All) basicUnsafeRead :: PrimMonad m => MVector (PrimState m) All -> Int -> m All basicUnsafeWrite :: PrimMonad m => MVector (PrimState m) All -> Int -> All -> m () basicClear :: PrimMonad m => MVector (PrimState m) All -> m () basicSet :: PrimMonad m => MVector (PrimState m) All -> All -> m () basicUnsafeCopy :: PrimMonad m => MVector (PrimState m) All -> MVector (PrimState m) All -> m () basicUnsafeMove :: PrimMonad m => MVector (PrimState m) All -> MVector (PrimState m) All -> m () basicUnsafeGrow :: PrimMonad m => MVector (PrimState m) All -> Int -> m (MVector (PrimState m) All) | |
| type Rep All | Since: base-4.7.0.0 |
Defined in Data.Semigroup.Internal | |
| newtype Vector All | |
Defined in Data.Vector.Unboxed.Base | |
| newtype MVector s All | |
Defined in Data.Vector.Unboxed.Base | |
Boolean monoid under disjunction (||).
>>>getAny (Any True <> mempty <> Any False)True
>>>getAny (mconcat (map (\x -> Any (even x)) [2,4,6,7,8]))True
Instances
| Bounded Any | Since: base-2.1 |
| Eq Any | Since: base-2.1 |
| Ord Any | Since: base-2.1 |
| Read Any | Since: base-2.1 |
| Show Any | Since: base-2.1 |
| Generic Any | |
| Semigroup Any | Since: base-4.9.0.0 |
| Monoid Any | Since: base-2.1 |
| Binary Any | Since: 0.8.4.0 |
| NFData Any | Since: deepseq-1.4.0.0 |
Defined in Control.DeepSeq | |
| Unbox Any | |
Defined in Data.Vector.Unboxed.Base | |
| Vector Vector Any | |
Defined in Data.Vector.Unboxed.Base Methods basicUnsafeFreeze :: PrimMonad m => Mutable Vector (PrimState m) Any -> m (Vector Any) basicUnsafeThaw :: PrimMonad m => Vector Any -> m (Mutable Vector (PrimState m) Any) basicLength :: Vector Any -> Int basicUnsafeSlice :: Int -> Int -> Vector Any -> Vector Any basicUnsafeIndexM :: Monad m => Vector Any -> Int -> m Any basicUnsafeCopy :: PrimMonad m => Mutable Vector (PrimState m) Any -> Vector Any -> m () | |
| MVector MVector Any | |
Defined in Data.Vector.Unboxed.Base Methods basicLength :: MVector s Any -> Int basicUnsafeSlice :: Int -> Int -> MVector s Any -> MVector s Any basicOverlaps :: MVector s Any -> MVector s Any -> Bool basicUnsafeNew :: PrimMonad m => Int -> m (MVector (PrimState m) Any) basicInitialize :: PrimMonad m => MVector (PrimState m) Any -> m () basicUnsafeReplicate :: PrimMonad m => Int -> Any -> m (MVector (PrimState m) Any) basicUnsafeRead :: PrimMonad m => MVector (PrimState m) Any -> Int -> m Any basicUnsafeWrite :: PrimMonad m => MVector (PrimState m) Any -> Int -> Any -> m () basicClear :: PrimMonad m => MVector (PrimState m) Any -> m () basicSet :: PrimMonad m => MVector (PrimState m) Any -> Any -> m () basicUnsafeCopy :: PrimMonad m => MVector (PrimState m) Any -> MVector (PrimState m) Any -> m () basicUnsafeMove :: PrimMonad m => MVector (PrimState m) Any -> MVector (PrimState m) Any -> m () basicUnsafeGrow :: PrimMonad m => MVector (PrimState m) Any -> Int -> m (MVector (PrimState m) Any) | |
| type Rep Any | Since: base-4.7.0.0 |
Defined in Data.Semigroup.Internal | |
| newtype Vector Any | |
Defined in Data.Vector.Unboxed.Base | |
| newtype MVector s Any | |
Defined in Data.Vector.Unboxed.Base | |
Monoid under addition.
>>>getSum (Sum 1 <> Sum 2 <> mempty)3
Instances
| Monad Sum | Since: base-4.8.0.0 |
| Functor Sum | Since: base-4.8.0.0 |
| Applicative Sum | Since: base-4.8.0.0 |
| Foldable Sum | Since: base-4.8.0.0 |
Defined in Data.Foldable Methods fold :: Monoid m => Sum m -> m # foldMap :: Monoid m => (a -> m) -> Sum a -> m # foldr :: (a -> b -> b) -> b -> Sum a -> b # foldr' :: (a -> b -> b) -> b -> Sum a -> b # foldl :: (b -> a -> b) -> b -> Sum a -> b # foldl' :: (b -> a -> b) -> b -> Sum a -> b # foldr1 :: (a -> a -> a) -> Sum a -> a # foldl1 :: (a -> a -> a) -> Sum a -> a # elem :: Eq a => a -> Sum a -> Bool # maximum :: Ord a => Sum a -> a # | |
| Traversable Sum | Since: base-4.8.0.0 |
| NFData1 Sum | Since: deepseq-1.4.3.0 |
Defined in Control.DeepSeq | |
| Unbox a => Vector Vector (Sum a) | |
Defined in Data.Vector.Unboxed.Base Methods basicUnsafeFreeze :: PrimMonad m => Mutable Vector (PrimState m) (Sum a) -> m (Vector (Sum a)) basicUnsafeThaw :: PrimMonad m => Vector (Sum a) -> m (Mutable Vector (PrimState m) (Sum a)) basicLength :: Vector (Sum a) -> Int basicUnsafeSlice :: Int -> Int -> Vector (Sum a) -> Vector (Sum a) basicUnsafeIndexM :: Monad m => Vector (Sum a) -> Int -> m (Sum a) basicUnsafeCopy :: PrimMonad m => Mutable Vector (PrimState m) (Sum a) -> Vector (Sum a) -> m () | |
| Unbox a => MVector MVector (Sum a) | |
Defined in Data.Vector.Unboxed.Base Methods basicLength :: MVector s (Sum a) -> Int basicUnsafeSlice :: Int -> Int -> MVector s (Sum a) -> MVector s (Sum a) basicOverlaps :: MVector s (Sum a) -> MVector s (Sum a) -> Bool basicUnsafeNew :: PrimMonad m => Int -> m (MVector (PrimState m) (Sum a)) basicInitialize :: PrimMonad m => MVector (PrimState m) (Sum a) -> m () basicUnsafeReplicate :: PrimMonad m => Int -> Sum a -> m (MVector (PrimState m) (Sum a)) basicUnsafeRead :: PrimMonad m => MVector (PrimState m) (Sum a) -> Int -> m (Sum a) basicUnsafeWrite :: PrimMonad m => MVector (PrimState m) (Sum a) -> Int -> Sum a -> m () basicClear :: PrimMonad m => MVector (PrimState m) (Sum a) -> m () basicSet :: PrimMonad m => MVector (PrimState m) (Sum a) -> Sum a -> m () basicUnsafeCopy :: PrimMonad m => MVector (PrimState m) (Sum a) -> MVector (PrimState m) (Sum a) -> m () basicUnsafeMove :: PrimMonad m => MVector (PrimState m) (Sum a) -> MVector (PrimState m) (Sum a) -> m () basicUnsafeGrow :: PrimMonad m => MVector (PrimState m) (Sum a) -> Int -> m (MVector (PrimState m) (Sum a)) | |
| Bounded a => Bounded (Sum a) | Since: base-2.1 |
| Eq a => Eq (Sum a) | Since: base-2.1 |
| Num a => Num (Sum a) | Since: base-4.7.0.0 |
| Ord a => Ord (Sum a) | Since: base-2.1 |
| Read a => Read (Sum a) | Since: base-2.1 |
| Show a => Show (Sum a) | Since: base-2.1 |
| Generic (Sum a) | |
| Num a => Semigroup (Sum a) | Since: base-4.9.0.0 |
| Num a => Monoid (Sum a) | Since: base-2.1 |
| Binary a => Binary (Sum a) | Since: 0.8.4.0 |
| NFData a => NFData (Sum a) | Since: deepseq-1.4.0.0 |
Defined in Control.DeepSeq | |
| Container (Sum a) | |
Defined in Universum.Container.Class Methods toList :: Sum a -> [Element (Sum a)] # foldr :: (Element (Sum a) -> b -> b) -> b -> Sum a -> b # foldl :: (b -> Element (Sum a) -> b) -> b -> Sum a -> b # foldl' :: (b -> Element (Sum a) -> b) -> b -> Sum a -> b # elem :: Element (Sum a) -> Sum a -> Bool # maximum :: Sum a -> Element (Sum a) # minimum :: Sum a -> Element (Sum a) # foldMap :: Monoid m => (Element (Sum a) -> m) -> Sum a -> m # fold :: Sum a -> Element (Sum a) # foldr' :: (Element (Sum a) -> b -> b) -> b -> Sum a -> b # foldr1 :: (Element (Sum a) -> Element (Sum a) -> Element (Sum a)) -> Sum a -> Element (Sum a) # foldl1 :: (Element (Sum a) -> Element (Sum a) -> Element (Sum a)) -> Sum a -> Element (Sum a) # notElem :: Element (Sum a) -> Sum a -> Bool # all :: (Element (Sum a) -> Bool) -> Sum a -> Bool # any :: (Element (Sum a) -> Bool) -> Sum a -> Bool # find :: (Element (Sum a) -> Bool) -> Sum a -> Maybe (Element (Sum a)) # | |
| Unbox a => Unbox (Sum a) | |
Defined in Data.Vector.Unboxed.Base | |
| Generic1 Sum | |
| newtype MVector s (Sum a) | |
Defined in Data.Vector.Unboxed.Base | |
| type Rep (Sum a) | Since: base-4.7.0.0 |
Defined in Data.Semigroup.Internal | |
| type Element (Sum a) | |
Defined in Universum.Container.Class | |
| newtype Vector (Sum a) | |
Defined in Data.Vector.Unboxed.Base | |
| type Rep1 Sum | Since: base-4.7.0.0 |
Defined in Data.Semigroup.Internal | |
Monoid under multiplication.
>>>getProduct (Product 3 <> Product 4 <> mempty)12
Constructors
| Product | |
Fields
| |
Instances
| Monad Product | Since: base-4.8.0.0 |
| Functor Product | Since: base-4.8.0.0 |
| Applicative Product | Since: base-4.8.0.0 |
| Foldable Product | Since: base-4.8.0.0 |
Defined in Data.Foldable Methods fold :: Monoid m => Product m -> m # foldMap :: Monoid m => (a -> m) -> Product a -> m # foldr :: (a -> b -> b) -> b -> Product a -> b # foldr' :: (a -> b -> b) -> b -> Product a -> b # foldl :: (b -> a -> b) -> b -> Product a -> b # foldl' :: (b -> a -> b) -> b -> Product a -> b # foldr1 :: (a -> a -> a) -> Product a -> a # foldl1 :: (a -> a -> a) -> Product a -> a # elem :: Eq a => a -> Product a -> Bool # maximum :: Ord a => Product a -> a # minimum :: Ord a => Product a -> a # | |
| Traversable Product | Since: base-4.8.0.0 |
| NFData1 Product | Since: deepseq-1.4.3.0 |
Defined in Control.DeepSeq | |
| Unbox a => Vector Vector (Product a) | |
Defined in Data.Vector.Unboxed.Base Methods basicUnsafeFreeze :: PrimMonad m => Mutable Vector (PrimState m) (Product a) -> m (Vector (Product a)) basicUnsafeThaw :: PrimMonad m => Vector (Product a) -> m (Mutable Vector (PrimState m) (Product a)) basicLength :: Vector (Product a) -> Int basicUnsafeSlice :: Int -> Int -> Vector (Product a) -> Vector (Product a) basicUnsafeIndexM :: Monad m => Vector (Product a) -> Int -> m (Product a) basicUnsafeCopy :: PrimMonad m => Mutable Vector (PrimState m) (Product a) -> Vector (Product a) -> m () | |
| Unbox a => MVector MVector (Product a) | |
Defined in Data.Vector.Unboxed.Base Methods basicLength :: MVector s (Product a) -> Int basicUnsafeSlice :: Int -> Int -> MVector s (Product a) -> MVector s (Product a) basicOverlaps :: MVector s (Product a) -> MVector s (Product a) -> Bool basicUnsafeNew :: PrimMonad m => Int -> m (MVector (PrimState m) (Product a)) basicInitialize :: PrimMonad m => MVector (PrimState m) (Product a) -> m () basicUnsafeReplicate :: PrimMonad m => Int -> Product a -> m (MVector (PrimState m) (Product a)) basicUnsafeRead :: PrimMonad m => MVector (PrimState m) (Product a) -> Int -> m (Product a) basicUnsafeWrite :: PrimMonad m => MVector (PrimState m) (Product a) -> Int -> Product a -> m () basicClear :: PrimMonad m => MVector (PrimState m) (Product a) -> m () basicSet :: PrimMonad m => MVector (PrimState m) (Product a) -> Product a -> m () basicUnsafeCopy :: PrimMonad m => MVector (PrimState m) (Product a) -> MVector (PrimState m) (Product a) -> m () basicUnsafeMove :: PrimMonad m => MVector (PrimState m) (Product a) -> MVector (PrimState m) (Product a) -> m () basicUnsafeGrow :: PrimMonad m => MVector (PrimState m) (Product a) -> Int -> m (MVector (PrimState m) (Product a)) | |
| Bounded a => Bounded (Product a) | Since: base-2.1 |
| Eq a => Eq (Product a) | Since: base-2.1 |
| Num a => Num (Product a) | Since: base-4.7.0.0 |
Defined in Data.Semigroup.Internal | |
| Ord a => Ord (Product a) | Since: base-2.1 |
| Read a => Read (Product a) | Since: base-2.1 |
| Show a => Show (Product a) | Since: base-2.1 |
| Generic (Product a) | |
| Num a => Semigroup (Product a) | Since: base-4.9.0.0 |
| Num a => Monoid (Product a) | Since: base-2.1 |
| Binary a => Binary (Product a) | Since: 0.8.4.0 |
| NFData a => NFData (Product a) | Since: deepseq-1.4.0.0 |
Defined in Control.DeepSeq | |
| Container (Product a) | |
Defined in Universum.Container.Class Methods toList :: Product a -> [Element (Product a)] # foldr :: (Element (Product a) -> b -> b) -> b -> Product a -> b # foldl :: (b -> Element (Product a) -> b) -> b -> Product a -> b # foldl' :: (b -> Element (Product a) -> b) -> b -> Product a -> b # elem :: Element (Product a) -> Product a -> Bool # maximum :: Product a -> Element (Product a) # minimum :: Product a -> Element (Product a) # foldMap :: Monoid m => (Element (Product a) -> m) -> Product a -> m # fold :: Product a -> Element (Product a) # foldr' :: (Element (Product a) -> b -> b) -> b -> Product a -> b # foldr1 :: (Element (Product a) -> Element (Product a) -> Element (Product a)) -> Product a -> Element (Product a) # foldl1 :: (Element (Product a) -> Element (Product a) -> Element (Product a)) -> Product a -> Element (Product a) # notElem :: Element (Product a) -> Product a -> Bool # all :: (Element (Product a) -> Bool) -> Product a -> Bool # any :: (Element (Product a) -> Bool) -> Product a -> Bool # find :: (Element (Product a) -> Bool) -> Product a -> Maybe (Element (Product a)) # | |
| Unbox a => Unbox (Product a) | |
Defined in Data.Vector.Unboxed.Base | |
| Generic1 Product | |
| newtype MVector s (Product a) | |
Defined in Data.Vector.Unboxed.Base | |
| type Rep (Product a) | Since: base-4.7.0.0 |
Defined in Data.Semigroup.Internal | |
| type Element (Product a) | |
Defined in Universum.Container.Class | |
| newtype Vector (Product a) | |
Defined in Data.Vector.Unboxed.Base | |
| type Rep1 Product | Since: base-4.7.0.0 |
Defined in Data.Semigroup.Internal | |
newtype Alt (f :: k -> Type) (a :: k) :: forall k. (k -> Type) -> k -> Type #
Monoid under <|>.
Since: base-4.8.0.0
Instances
| Generic1 (Alt f :: k -> Type) | |
| Unbox (f a) => Vector Vector (Alt f a) | |
Defined in Data.Vector.Unboxed.Base Methods basicUnsafeFreeze :: PrimMonad m => Mutable Vector (PrimState m) (Alt f a) -> m (Vector (Alt f a)) basicUnsafeThaw :: PrimMonad m => Vector (Alt f a) -> m (Mutable Vector (PrimState m) (Alt f a)) basicLength :: Vector (Alt f a) -> Int basicUnsafeSlice :: Int -> Int -> Vector (Alt f a) -> Vector (Alt f a) basicUnsafeIndexM :: Monad m => Vector (Alt f a) -> Int -> m (Alt f a) basicUnsafeCopy :: PrimMonad m => Mutable Vector (PrimState m) (Alt f a) -> Vector (Alt f a) -> m () | |
| Unbox (f a) => MVector MVector (Alt f a) | |
Defined in Data.Vector.Unboxed.Base Methods basicLength :: MVector s (Alt f a) -> Int basicUnsafeSlice :: Int -> Int -> MVector s (Alt f a) -> MVector s (Alt f a) basicOverlaps :: MVector s (Alt f a) -> MVector s (Alt f a) -> Bool basicUnsafeNew :: PrimMonad m => Int -> m (MVector (PrimState m) (Alt f a)) basicInitialize :: PrimMonad m => MVector (PrimState m) (Alt f a) -> m () basicUnsafeReplicate :: PrimMonad m => Int -> Alt f a -> m (MVector (PrimState m) (Alt f a)) basicUnsafeRead :: PrimMonad m => MVector (PrimState m) (Alt f a) -> Int -> m (Alt f a) basicUnsafeWrite :: PrimMonad m => MVector (PrimState m) (Alt f a) -> Int -> Alt f a -> m () basicClear :: PrimMonad m => MVector (PrimState m) (Alt f a) -> m () basicSet :: PrimMonad m => MVector (PrimState m) (Alt f a) -> Alt f a -> m () basicUnsafeCopy :: PrimMonad m => MVector (PrimState m) (Alt f a) -> MVector (PrimState m) (Alt f a) -> m () basicUnsafeMove :: PrimMonad m => MVector (PrimState m) (Alt f a) -> MVector (PrimState m) (Alt f a) -> m () basicUnsafeGrow :: PrimMonad m => MVector (PrimState m) (Alt f a) -> Int -> m (MVector (PrimState m) (Alt f a)) | |
| Monad f => Monad (Alt f) | Since: base-4.8.0.0 |
| Functor f => Functor (Alt f) | Since: base-4.8.0.0 |
| Applicative f => Applicative (Alt f) | Since: base-4.8.0.0 |
| 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 # 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 # | |
| Traversable f => Traversable (Alt f) | Since: base-4.12.0.0 |
| Alternative f => Alternative (Alt f) | Since: base-4.8.0.0 |
| MonadPlus f => MonadPlus (Alt f) | Since: base-4.8.0.0 |
| Enum (f a) => Enum (Alt f a) | Since: base-4.8.0.0 |
| Eq (f a) => Eq (Alt f a) | Since: base-4.8.0.0 |
| Num (f a) => Num (Alt f a) | Since: base-4.8.0.0 |
| Ord (f a) => Ord (Alt f a) | Since: base-4.8.0.0 |
Defined in Data.Semigroup.Internal | |
| Read (f a) => Read (Alt f a) | Since: base-4.8.0.0 |
| Show (f a) => Show (Alt f a) | Since: base-4.8.0.0 |
| Generic (Alt f a) | |
| Alternative f => Semigroup (Alt f a) | Since: base-4.9.0.0 |
| Alternative f => Monoid (Alt f a) | Since: base-4.8.0.0 |
| Binary (f a) => Binary (Alt f a) | Since: 0.8.4.0 |
| Unbox (f a) => Unbox (Alt f a) | |
Defined in Data.Vector.Unboxed.Base | |
| type Rep1 (Alt f :: k -> Type) | Since: base-4.8.0.0 |
Defined in Data.Semigroup.Internal | |
| newtype MVector s (Alt f a) | |
Defined in Data.Vector.Unboxed.Base | |
| type Rep (Alt f a) | Since: base-4.8.0.0 |
Defined in Data.Semigroup.Internal | |
| newtype Vector (Alt f a) | |
Defined in Data.Vector.Unboxed.Base | |
someNatVal :: Natural -> SomeNat #
Convert an integer into an unknown type-level natural.
Since: base-4.10.0.0
This type represents unknown type-level natural numbers.
Since: base-4.10.0.0
unfoldr :: (b -> Maybe (a, b)) -> b -> [a] #
The unfoldr function is a `dual' to foldr: while foldr
reduces a list to a summary value, unfoldr builds a list from
a seed value. The function takes the element and returns Nothing
if it is done producing the list or returns Just (a,b), in which
case, a is a prepended to the list and b is used as the next
element in a recursive call. For example,
iterate f == unfoldr (\x -> Just (x, f x))
In some cases, unfoldr can undo a foldr operation:
unfoldr f' (foldr f z xs) == xs
if the following holds:
f' (f x y) = Just (x,y) f' z = Nothing
A simple use of unfoldr:
>>>unfoldr (\b -> if b == 0 then Nothing else Just (b, b-1)) 10[10,9,8,7,6,5,4,3,2,1]
sortOn :: Ord b => (a -> b) -> [a] -> [a] #
Sort a list by comparing the results of a key function applied to each
element. sortOn f is equivalent to sortBy (comparing f), but has the
performance advantage of only evaluating f once for each element in the
input list. This is called the decorate-sort-undecorate paradigm, or
Schwartzian transform.
Elements are arranged from from lowest to highest, keeping duplicates in the order they appeared in the input.
>>>sortOn fst [(2, "world"), (4, "!"), (1, "Hello")][(1,"Hello"),(2,"world"),(4,"!")]
Since: base-4.8.0.0
The sort function implements a stable sorting algorithm.
It is a special case of sortBy, which allows the programmer to supply
their own comparison function.
Elements are arranged from from lowest to highest, keeping duplicates in the order they appeared in the input.
>>>sort [1,6,4,3,2,5][1,2,3,4,5,6]
permutations :: [a] -> [[a]] #
The permutations function returns the list of all permutations of the argument.
>>>permutations "abc"["abc","bac","cba","bca","cab","acb"]
subsequences :: [a] -> [[a]] #
The subsequences function returns the list of all subsequences of the argument.
>>>subsequences "abc"["","a","b","ab","c","ac","bc","abc"]
group :: Eq a => [a] -> [[a]] #
The group function takes a list and returns a list of lists such
that the concatenation of the result is equal to the argument. Moreover,
each sublist in the result contains only equal elements. For example,
>>>group "Mississippi"["M","i","ss","i","ss","i","pp","i"]
It is a special case of groupBy, which allows the programmer to supply
their own equality test.
genericReplicate :: Integral i => i -> a -> [a] #
The genericReplicate function is an overloaded version of replicate,
which accepts any Integral value as the number of repetitions to make.
genericSplitAt :: Integral i => i -> [a] -> ([a], [a]) #
The genericSplitAt function is an overloaded version of splitAt, which
accepts any Integral value as the position at which to split.
genericDrop :: Integral i => i -> [a] -> [a] #
The genericDrop function is an overloaded version of drop, which
accepts any Integral value as the number of elements to drop.
genericTake :: Integral i => i -> [a] -> [a] #
The genericTake function is an overloaded version of take, which
accepts any Integral value as the number of elements to take.
genericLength :: Num i => [a] -> i #
The genericLength function is an overloaded version of length. In
particular, instead of returning an Int, it returns any type which is
an instance of Num. It is, however, less efficient than length.
partition :: (a -> Bool) -> [a] -> ([a], [a]) #
The partition function takes a predicate a list and returns
the pair of lists of elements which do and do not satisfy the
predicate, respectively; i.e.,
partition p xs == (filter p xs, filter (not . p) xs)
>>>partition (`elem` "aeiou") "Hello World!"("eoo","Hll Wrld!")
The transpose function transposes the rows and columns of its argument.
For example,
>>>transpose [[1,2,3],[4,5,6]][[1,4],[2,5],[3,6]]
If some of the rows are shorter than the following rows, their elements are skipped:
>>>transpose [[10,11],[20],[],[30,31,32]][[10,20,30],[11,31],[32]]
intercalate :: [a] -> [[a]] -> [a] #
intercalate xs xss is equivalent to (.
It inserts the list concat (intersperse xs xss))xs in between the lists in xss and concatenates the
result.
>>>intercalate ", " ["Lorem", "ipsum", "dolor"]"Lorem, ipsum, dolor"
intersperse :: a -> [a] -> [a] #
The intersperse function takes an element and a list and
`intersperses' that element between the elements of the list.
For example,
>>>intersperse ',' "abcde""a,b,c,d,e"
isPrefixOf :: Eq a => [a] -> [a] -> Bool #
The isPrefixOf function takes two lists and returns True
iff the first list is a prefix of the second.
>>>"Hello" `isPrefixOf` "Hello World!"True
>>>"Hello" `isPrefixOf` "Wello Horld!"False
readMaybe :: Read a => String -> Maybe a #
Parse a string using the Read instance.
Succeeds if there is exactly one valid result.
>>>readMaybe "123" :: Maybe IntJust 123
>>>readMaybe "hello" :: Maybe IntNothing
Since: base-4.6.0.0
isRight :: Either a b -> Bool #
Return True if the given value is a Right-value, False otherwise.
Examples
Basic usage:
>>>isRight (Left "foo")False>>>isRight (Right 3)True
Assuming a Left value signifies some sort of error, we can use
isRight to write a very simple reporting function that only
outputs "SUCCESS" when a computation has succeeded.
This example shows how isRight might be used to avoid pattern
matching when one does not care about the value contained in the
constructor:
>>>import Control.Monad ( when )>>>let report e = when (isRight e) $ putStrLn "SUCCESS">>>report (Left "parse error")>>>report (Right 1)SUCCESS
Since: base-4.7.0.0
isLeft :: Either a b -> Bool #
Return True if the given value is a Left-value, False otherwise.
Examples
Basic usage:
>>>isLeft (Left "foo")True>>>isLeft (Right 3)False
Assuming a Left value signifies some sort of error, we can use
isLeft to write a very simple error-reporting function that does
absolutely nothing in the case of success, and outputs "ERROR" if
any error occurred.
This example shows how isLeft might be used to avoid pattern
matching when one does not care about the value contained in the
constructor:
>>>import Control.Monad ( when )>>>let report e = when (isLeft e) $ putStrLn "ERROR">>>report (Right 1)>>>report (Left "parse error")ERROR
Since: base-4.7.0.0
partitionEithers :: [Either a b] -> ([a], [b]) #
Partitions a list of Either into two lists.
All the Left elements are extracted, in order, to the first
component of the output. Similarly the Right elements are extracted
to the second component of the output.
Examples
Basic usage:
>>>let list = [ Left "foo", Right 3, Left "bar", Right 7, Left "baz" ]>>>partitionEithers list(["foo","bar","baz"],[3,7])
The pair returned by partitionEithers x(:lefts x, rights x)
>>>let list = [ Left "foo", Right 3, Left "bar", Right 7, Left "baz" ]>>>partitionEithers list == (lefts list, rights list)True
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
comparing :: Ord a => (b -> a) -> b -> b -> Ordering #
comparing p x y = compare (p x) (p y)
Useful combinator for use in conjunction with the xxxBy family
of functions from Data.List, for example:
... sortBy (comparing fst) ...
The Down type allows you to reverse sort order conveniently. A value of type
Down aa (represented as Down aa has an Ordthen sortWith by Down x
Since: base-4.6.0.0
Constructors
| Down a |
Instances
| Monad Down | Since: base-4.11.0.0 |
| Functor Down | Since: base-4.11.0.0 |
| Applicative Down | Since: base-4.11.0.0 |
| 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 # 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 # | |
| Traversable Down | Since: base-4.12.0.0 |
| Eq1 Down | Since: base-4.12.0.0 |
| Ord1 Down | Since: base-4.12.0.0 |
Defined in Data.Functor.Classes | |
| Read1 Down | Since: base-4.12.0.0 |
Defined in Data.Functor.Classes | |
| Show1 Down | Since: base-4.12.0.0 |
| NFData1 Down | Since: deepseq-1.4.3.0 |
Defined in Control.DeepSeq | |
| Unbox a => Vector Vector (Down a) | |
Defined in Data.Vector.Unboxed.Base Methods basicUnsafeFreeze :: PrimMonad m => Mutable Vector (PrimState m) (Down a) -> m (Vector (Down a)) basicUnsafeThaw :: PrimMonad m => Vector (Down a) -> m (Mutable Vector (PrimState m) (Down a)) basicLength :: Vector (Down a) -> Int basicUnsafeSlice :: Int -> Int -> Vector (Down a) -> Vector (Down a) basicUnsafeIndexM :: Monad m => Vector (Down a) -> Int -> m (Down a) basicUnsafeCopy :: PrimMonad m => Mutable Vector (PrimState m) (Down a) -> Vector (Down a) -> m () | |
| Unbox a => MVector MVector (Down a) | |
Defined in Data.Vector.Unboxed.Base Methods basicLength :: MVector s (Down a) -> Int basicUnsafeSlice :: Int -> Int -> MVector s (Down a) -> MVector s (Down a) basicOverlaps :: MVector s (Down a) -> MVector s (Down a) -> Bool basicUnsafeNew :: PrimMonad m => Int -> m (MVector (PrimState m) (Down a)) basicInitialize :: PrimMonad m => MVector (PrimState m) (Down a) -> m () basicUnsafeReplicate :: PrimMonad m => Int -> Down a -> m (MVector (PrimState m) (Down a)) basicUnsafeRead :: PrimMonad m => MVector (PrimState m) (Down a) -> Int -> m (Down a) basicUnsafeWrite :: PrimMonad m => MVector (PrimState m) (Down a) -> Int -> Down a -> m () basicClear :: PrimMonad m => MVector (PrimState m) (Down a) -> m () basicSet :: PrimMonad m => MVector (PrimState m) (Down a) -> Down a -> m () basicUnsafeCopy :: PrimMonad m => MVector (PrimState m) (Down a) -> MVector (PrimState m) (Down a) -> m () basicUnsafeMove :: PrimMonad m => MVector (PrimState m) (Down a) -> MVector (PrimState m) (Down a) -> m () basicUnsafeGrow :: PrimMonad m => MVector (PrimState m) (Down a) -> Int -> m (MVector (PrimState m) (Down a)) | |
| Eq a => Eq (Down a) | Since: base-4.6.0.0 |
| Num a => Num (Down a) | Since: base-4.11.0.0 |
| Ord a => Ord (Down a) | Since: base-4.6.0.0 |
| Read a => Read (Down a) | Since: base-4.7.0.0 |
| Show a => Show (Down a) | Since: base-4.7.0.0 |
| Generic (Down a) | |
| Semigroup a => Semigroup (Down a) | Since: base-4.11.0.0 |
| Monoid a => Monoid (Down a) | Since: base-4.11.0.0 |
| NFData a => NFData (Down a) | Since: deepseq-1.4.0.0 |
Defined in Control.DeepSeq | |
| Unbox a => Unbox (Down a) | |
Defined in Data.Vector.Unboxed.Base | |
| Generic1 Down | |
| newtype MVector s (Down a) | |
Defined in Data.Vector.Unboxed.Base | |
| type Rep (Down a) | Since: base-4.12.0.0 |
Defined in GHC.Generics | |
| newtype Vector (Down a) | |
Defined in Data.Vector.Unboxed.Base | |
| type Rep1 Down | Since: base-4.12.0.0 |
Defined in GHC.Generics | |
data Proxy (t :: k) :: forall k. k -> Type #
Proxy is a type that holds no data, but has a phantom parameter of
arbitrary type (or even kind). Its use is to provide type information, even
though there is no value available of that type (or it may be too costly to
create one).
Historically, Proxy :: Proxy a'undefined :: a' idiom.
>>>Proxy :: Proxy (Void, Int -> Int)Proxy
Proxy can even hold types of higher kinds,
>>>Proxy :: Proxy EitherProxy
>>>Proxy :: Proxy FunctorProxy
>>>Proxy :: Proxy complicatedStructureProxy
Constructors
| Proxy |
Instances
| Generic1 (Proxy :: k -> Type) | |
| Monad (Proxy :: Type -> Type) | Since: base-4.7.0.0 |
| Functor (Proxy :: Type -> Type) | Since: base-4.7.0.0 |
| Applicative (Proxy :: Type -> Type) | Since: base-4.7.0.0 |
| 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 # 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 # | |
| Traversable (Proxy :: Type -> Type) | Since: base-4.7.0.0 |
| Eq1 (Proxy :: Type -> Type) | Since: base-4.9.0.0 |
| Ord1 (Proxy :: Type -> Type) | Since: base-4.9.0.0 |
Defined in Data.Functor.Classes | |
| Read1 (Proxy :: Type -> Type) | Since: base-4.9.0.0 |
Defined in Data.Functor.Classes | |
| Show1 (Proxy :: Type -> Type) | Since: base-4.9.0.0 |
| Alternative (Proxy :: Type -> Type) | Since: base-4.9.0.0 |
| MonadPlus (Proxy :: Type -> Type) | Since: base-4.9.0.0 |
| NFData1 (Proxy :: Type -> Type) | Since: deepseq-1.4.3.0 |
Defined in Control.DeepSeq | |
| Hashable1 (Proxy :: Type -> Type) | |
Defined in Data.Hashable.Class | |
| Bounded (Proxy t) | Since: base-4.7.0.0 |
| Enum (Proxy s) | Since: base-4.7.0.0 |
| Eq (Proxy s) | Since: base-4.7.0.0 |
| Ord (Proxy s) | Since: base-4.7.0.0 |
| Read (Proxy t) | Since: base-4.7.0.0 |
| Show (Proxy s) | Since: base-4.7.0.0 |
| Ix (Proxy s) | Since: base-4.7.0.0 |
Defined in Data.Proxy | |
| Generic (Proxy t) | |
| Semigroup (Proxy s) | Since: base-4.9.0.0 |
| Monoid (Proxy s) | Since: base-4.7.0.0 |
| NFData (Proxy a) | Since: deepseq-1.4.0.0 |
Defined in Control.DeepSeq | |
| Hashable (Proxy a) | |
Defined in Data.Hashable.Class | |
| type Rep1 (Proxy :: k -> Type) | Since: base-4.6.0.0 |
| type Rep (Proxy t) | Since: base-4.6.0.0 |
See openFile
Constructors
| ReadMode | |
| WriteMode | |
| AppendMode | |
| ReadWriteMode |
byteSwap64 :: Word64 -> Word64 #
Reverse order of bytes in Word64.
Since: base-4.7.0.0
byteSwap32 :: Word32 -> Word32 #
Reverse order of bytes in Word32.
Since: base-4.7.0.0
byteSwap16 :: Word16 -> Word16 #
Swap bytes in Word16.
Since: base-4.7.0.0
Case analysis for the Bool type. bool x y px
when p is False, and evaluates to y when p is True.
This is equivalent to if p then y else x; that is, one can
think of it as an if-then-else construct with its arguments
reordered.
Examples
Basic usage:
>>>bool "foo" "bar" True"bar">>>bool "foo" "bar" False"foo"
Confirm that bool x y pif p then y else x are
equivalent:
>>>let p = True; x = "bar"; y = "foo">>>bool x y p == if p then y else xTrue>>>let p = False>>>bool x y p == if p then y else xTrue
Since: base-4.7.0.0
fix ff,
i.e. the least defined x such that f x = x.
For example, we can write the factorial function using direct recursion as
>>>let fac n = if n <= 1 then 1 else n * fac (n-1) in fac 5120
This uses the fact that Haskell’s let introduces recursive bindings. We can
rewrite this definition using fix,
>>>fix (\rec n -> if n <= 1 then 1 else n * rec (n-1)) 5120
Instead of making a recursive call, we introduce a dummy parameter rec;
when used within fix, this parameter then refers to fix' argument, hence
the recursion is reintroduced.
void :: Functor f => f a -> f () #
void valueIO action.
Examples
Replace the contents of a Maybe Int
>>>void NothingNothing>>>void (Just 3)Just ()
Replace the contents of an Either Int IntEither Int '()'
>>>void (Left 8675309)Left 8675309>>>void (Right 8675309)Right ()
Replace every element of a list with unit:
>>>void [1,2,3][(),(),()]
Replace the second element of a pair with unit:
>>>void (1,2)(1,())
Discard the result of an IO action:
>>>mapM print [1,2]1 2 [(),()]>>>void $ mapM print [1,2]1 2
($>) :: Functor f => f a -> b -> f b infixl 4 #
Flipped version of <$.
Examples
Replace the contents of a Maybe IntString:
>>>Nothing $> "foo"Nothing>>>Just 90210 $> "foo"Just "foo"
Replace the contents of an Either Int IntString, resulting in an Either Int String
>>>Left 8675309 $> "foo"Left 8675309>>>Right 8675309 $> "foo"Right "foo"
Replace each element of a list with a constant String:
>>>[1,2,3] $> "foo"["foo","foo","foo"]
Replace the second element of a pair with a constant String:
>>>(1,2) $> "foo"(1,"foo")
Since: base-4.7.0.0
(<$>) :: 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)
lcm :: Integral a => a -> a -> a #
lcm x yx and y divide.
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
(^^) :: (Fractional a, Integral b) => a -> b -> a infixr 8 #
raise a number to an integral power
denominator :: Ratio a -> a #
Extract the denominator of the ratio in reduced form: the numerator and denominator have no common factor and the denominator is positive.
Extract the numerator of the ratio in reduced form: the numerator and denominator have no common factor and the denominator is positive.
unzip :: [(a, b)] -> ([a], [b]) #
unzip transforms a list of pairs into a list of first components
and a list of second components.
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],[])
splitAt :: Int -> [a] -> ([a], [a]) #
splitAt n xs returns a tuple where first element is xs prefix of
length n and second element is the remainder of the list:
splitAt 6 "Hello World!" == ("Hello ","World!")
splitAt 3 [1,2,3,4,5] == ([1,2,3],[4,5])
splitAt 1 [1,2,3] == ([1],[2,3])
splitAt 3 [1,2,3] == ([1,2,3],[])
splitAt 4 [1,2,3] == ([1,2,3],[])
splitAt 0 [1,2,3] == ([],[1,2,3])
splitAt (-1) [1,2,3] == ([],[1,2,3])It is equivalent to ( when take n xs, drop n xs)n is not _|_
(splitAt _|_ xs = _|_).
splitAt is an instance of the more general genericSplitAt,
in which n may be of any integral type.
drop n xs returns the suffix of xs
after the first n elements, or [] if n > :length xs
drop 6 "Hello World!" == "World!" drop 3 [1,2,3,4,5] == [4,5] drop 3 [1,2] == [] drop 3 [] == [] drop (-1) [1,2] == [1,2] drop 0 [1,2] == [1,2]
It is an instance of the more general genericDrop,
in which n may be of any integral type.
take n, applied to a list xs, returns the prefix of xs
of length n, or xs itself if n > :length xs
take 5 "Hello World!" == "Hello" take 3 [1,2,3,4,5] == [1,2,3] take 3 [1,2] == [1,2] take 3 [] == [] take (-1) [1,2] == [] take 0 [1,2] == []
It is an instance of the more general genericTake,
in which n may be of any integral type.
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] == []
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.
replicate :: Int -> a -> [a] #
replicate n x is a list of length n with x the value of
every element.
It is an instance of the more general genericReplicate,
in which n may be of any integral type.
mapMaybe :: (a -> Maybe b) -> [a] -> [b] #
The mapMaybe function is a version of map which can throw
out elements. In particular, the functional argument returns
something of type Maybe bNothing, no element
is added on to the result list. If it is Just bb is
included in the result list.
Examples
Using mapMaybe f xcatMaybes $ map f x
>>>import Text.Read ( readMaybe )>>>let readMaybeInt = readMaybe :: String -> Maybe Int>>>mapMaybe readMaybeInt ["1", "Foo", "3"][1,3]>>>catMaybes $ map readMaybeInt ["1", "Foo", "3"][1,3]
If we map the Just constructor, the entire list should be returned:
>>>mapMaybe Just [1,2,3][1,2,3]
catMaybes :: [Maybe a] -> [a] #
The catMaybes function takes a list of Maybes and returns
a list of all the Just values.
Examples
Basic usage:
>>>catMaybes [Just 1, Nothing, Just 3][1,3]
When constructing a list of Maybe values, catMaybes can be used
to return all of the "success" results (if the list is the result
of a map, then mapMaybe would be more appropriate):
>>>import Text.Read ( readMaybe )>>>[readMaybe x :: Maybe Int | x <- ["1", "Foo", "3"] ][Just 1,Nothing,Just 3]>>>catMaybes $ [readMaybe x :: Maybe Int | x <- ["1", "Foo", "3"] ][1,3]
listToMaybe :: [a] -> Maybe a #
The listToMaybe function returns Nothing on an empty list
or Just aa is the first element of the list.
Examples
Basic usage:
>>>listToMaybe []Nothing
>>>listToMaybe [9]Just 9
>>>listToMaybe [1,2,3]Just 1
Composing maybeToList with listToMaybe should be the identity
on singleton/empty lists:
>>>maybeToList $ listToMaybe [5][5]>>>maybeToList $ listToMaybe [][]
But not on lists with more than one element:
>>>maybeToList $ listToMaybe [1,2,3][1]
maybeToList :: Maybe a -> [a] #
The maybeToList function returns an empty list when given
Nothing or a singleton list when not given Nothing.
Examples
Basic usage:
>>>maybeToList (Just 7)[7]
>>>maybeToList Nothing[]
One can use maybeToList to avoid pattern matching when combined
with a function that (safely) works on lists:
>>>import Text.Read ( readMaybe )>>>sum $ maybeToList (readMaybe "3")3>>>sum $ maybeToList (readMaybe "")0
fromMaybe :: a -> Maybe a -> a #
The fromMaybe function takes a default value and and Maybe
value. If the Maybe is Nothing, it returns the default values;
otherwise, it returns the value contained in the Maybe.
Examples
Basic usage:
>>>fromMaybe "" (Just "Hello, World!")"Hello, World!"
>>>fromMaybe "" Nothing""
Read an integer from a string using readMaybe. If we fail to
parse an integer, we want to return 0 by default:
>>>import Text.Read ( readMaybe )>>>fromMaybe 0 (readMaybe "5")5>>>fromMaybe 0 (readMaybe "")0
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""
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]
An MVar (pronounced "em-var") is a synchronising variable, used
for communication between concurrent threads. It can be thought of
as a box, which may be empty or full.
Instances
| NFData1 MVar | Since: deepseq-1.4.3.0 |
Defined in Control.DeepSeq | |
| Eq (MVar a) | Since: base-4.1.0.0 |
| NFData (MVar a) | NOTE: Only strict in the reference and not the referenced value. Since: deepseq-1.4.2.0 |
Defined in Control.DeepSeq | |
currentCallStack :: IO [String] #
Returns a [String] representing the current call stack. This
can be useful for debugging.
The implementation uses the call-stack simulation maintained by the
profiler, so it only works if the program was compiled with -prof
and contains suitable SCC annotations (e.g. by using -fprof-auto).
Otherwise, the list returned is likely to be empty or
uninformative.
Since: base-4.5.0.0
flip :: (a -> b -> c) -> b -> a -> c #
flip ff.
>>>flip (++) "hello" "world""worldhello"
const x is a unary function which evaluates to x for all inputs.
>>>const 42 "hello"42
>>>map (const 42) [0..3][42,42,42,42]
liftM5 :: Monad m => (a1 -> a2 -> a3 -> a4 -> a5 -> r) -> m a1 -> m a2 -> m a3 -> m a4 -> m a5 -> m r #
Promote a function to a monad, scanning the monadic arguments from
left to right (cf. liftM2).
liftM4 :: Monad m => (a1 -> a2 -> a3 -> a4 -> r) -> m a1 -> m a2 -> m a3 -> m a4 -> m r #
Promote a function to a monad, scanning the monadic arguments from
left to right (cf. liftM2).
liftM3 :: Monad m => (a1 -> a2 -> a3 -> r) -> m a1 -> m a2 -> m a3 -> m r #
Promote a function to a monad, scanning the monadic arguments from
left to right (cf. liftM2).
liftM2 :: Monad m => (a1 -> a2 -> r) -> m a1 -> m a2 -> m r #
Promote a function to a monad, scanning the monadic arguments from left to right. For example,
liftM2 (+) [0,1] [0,2] = [0,2,1,3] liftM2 (+) (Just 1) Nothing = Nothing
when :: Applicative f => Bool -> f () -> f () #
Conditional execution of Applicative expressions. For example,
when debug (putStrLn "Debugging")
will output the string Debugging if the Boolean value debug
is True, and otherwise do nothing.
(=<<) :: Monad m => (a -> m b) -> m a -> m b infixr 1 #
Same as >>=, but with the arguments interchanged.
liftA3 :: Applicative f => (a -> b -> c -> d) -> f a -> f b -> f c -> f d #
Lift a ternary function to actions.
(<**>) :: Applicative f => f a -> f (a -> b) -> f b infixl 4 #
A variant of <*> with the arguments reversed.
class Applicative f => Alternative (f :: Type -> Type) where #
A monoid on applicative functors.
If defined, some and many should be the least solutions
of the equations:
Methods
The identity of <|>
(<|>) :: f a -> f a -> f a infixl 3 #
An associative binary operation
One or more.
Zero or more.
Instances
class (Alternative m, Monad m) => MonadPlus (m :: Type -> Type) where #
Monads that also support choice and failure.
Minimal complete definition
Nothing
Methods
The identity of mplus. It should also satisfy the equations
mzero >>= f = mzero v >> mzero = mzero
The default definition is
mzero = empty
An associative operation. The default definition is
mplus = (<|>)
Instances
| MonadPlus [] | Since: base-2.1 |
| MonadPlus Maybe | Since: base-2.1 |
| MonadPlus IO | Since: base-4.9.0.0 |
| MonadPlus Option | Since: base-4.9.0.0 |
| MonadPlus STM | Since: base-4.3.0.0 |
| MonadPlus ReadP | Since: base-2.1 |
| MonadPlus Seq | |
| MonadPlus Vector | |
| MonadPlus P | Since: base-2.1 |
Defined in Text.ParserCombinators.ReadP | |
| MonadPlus Array | |
Defined in Data.Primitive.Array | |
| MonadPlus SmallArray | |
Defined in Data.Primitive.SmallArray | |
| MonadPlus (U1 :: Type -> Type) | Since: base-4.9.0.0 |
| (ArrowApply a, ArrowPlus a) => MonadPlus (ArrowMonad a) | Since: base-4.6.0.0 |
Defined in Control.Arrow | |
| MonadPlus (Proxy :: Type -> Type) | Since: base-4.9.0.0 |
| Monad m => MonadPlus (MaybeT m) | |
| MonadPlus f => MonadPlus (Rec1 f) | Since: base-4.9.0.0 |
| MonadPlus f => MonadPlus (Ap f) | Since: base-4.12.0.0 |
| MonadPlus f => MonadPlus (Alt f) | Since: base-4.8.0.0 |
| MonadPlus m => MonadPlus (IdentityT m) | |
| (Monad m, Error e) => MonadPlus (ErrorT e m) | |
| (Monad m, Monoid e) => MonadPlus (ExceptT e m) | |
| MonadPlus m => MonadPlus (ReaderT r m) | |
| MonadPlus m => MonadPlus (StateT s m) | |
| (MonadPlus f, MonadPlus g) => MonadPlus (f :*: g) | Since: base-4.9.0.0 |
| MonadPlus f => MonadPlus (M1 i c f) | Since: base-4.9.0.0 |
Non-empty (and non-strict) list type.
Since: base-4.9.0.0
Constructors
| a :| [a] infixr 5 |
Instances
getCallStack :: CallStack -> [([Char], SrcLoc)] #
Extract a list of call-sites from the CallStack.
The list is ordered by most recent call.
Since: base-4.8.1.0
type HasCallStack = ?callStack :: CallStack #
Request a CallStack.
NOTE: The implicit parameter ?callStack :: CallStack is an
implementation detail and should not be considered part of the
CallStack API, we may decide to change the implementation in the
future.
Since: base-4.9.0.0
stimesIdempotentMonoid :: (Integral b, Monoid a) => b -> a -> a #
data SomeException where #
The SomeException type is the root of the exception type hierarchy.
When an exception of type e is thrown, behind the scenes it is
encapsulated in a SomeException.
Constructors
| SomeException :: forall e. Exception e => e -> SomeException |
Instances
| Show SomeException | Since: base-3.0 |
Defined in GHC.Exception.Type Methods showsPrec :: Int -> SomeException -> ShowS # show :: SomeException -> String # showList :: [SomeException] -> ShowS # | |
| Exception SomeException | Since: base-3.0 |
Defined in GHC.Exception.Type Methods toException :: SomeException -> SomeException # fromException :: SomeException -> Maybe SomeException # displayException :: SomeException -> String # | |
data ByteString #
A space-efficient representation of a Word8 vector, supporting many
efficient operations.
A ByteString contains 8-bit bytes, or by using the operations from
Data.ByteString.Char8 it can be interpreted as containing 8-bit
characters.
Instances
A map of integers to values a.
Instances
| Functor IntMap | |
| Foldable IntMap | |
Defined in Data.IntMap.Internal Methods fold :: Monoid m => IntMap m -> m # foldMap :: Monoid m => (a -> m) -> IntMap a -> m # foldr :: (a -> b -> b) -> b -> IntMap a -> b # foldr' :: (a -> b -> b) -> b -> IntMap a -> b # foldl :: (b -> a -> b) -> b -> IntMap a -> b # foldl' :: (b -> a -> b) -> b -> IntMap a -> b # foldr1 :: (a -> a -> a) -> IntMap a -> a # foldl1 :: (a -> a -> a) -> IntMap a -> a # elem :: Eq a => a -> IntMap a -> Bool # maximum :: Ord a => IntMap a -> a # minimum :: Ord a => IntMap a -> a # | |
| Traversable IntMap | |
| Eq1 IntMap | Since: containers-0.5.9 |
| Ord1 IntMap | Since: containers-0.5.9 |
Defined in Data.IntMap.Internal | |
| Read1 IntMap | Since: containers-0.5.9 |
Defined in Data.IntMap.Internal | |
| Show1 IntMap | Since: containers-0.5.9 |
| IsList (IntMap a) | Since: containers-0.5.6.2 |
| Eq a => Eq (IntMap a) | |
| Data a => Data (IntMap a) | |
Defined in Data.IntMap.Internal Methods gfoldl :: (forall d b. Data d => c (d -> b) -> d -> c b) -> (forall g. g -> c g) -> IntMap a -> c (IntMap a) # gunfold :: (forall b r. Data b => c (b -> r) -> c r) -> (forall r. r -> c r) -> Constr -> c (IntMap a) # toConstr :: IntMap a -> Constr # dataTypeOf :: IntMap a -> DataType # dataCast1 :: Typeable t => (forall d. Data d => c (t d)) -> Maybe (c (IntMap a)) # dataCast2 :: Typeable t => (forall d e. (Data d, Data e) => c (t d e)) -> Maybe (c (IntMap a)) # gmapT :: (forall b. Data b => b -> b) -> IntMap a -> IntMap a # gmapQl :: (r -> r' -> r) -> r -> (forall d. Data d => d -> r') -> IntMap a -> r # gmapQr :: (r' -> r -> r) -> r -> (forall d. Data d => d -> r') -> IntMap a -> r # gmapQ :: (forall d. Data d => d -> u) -> IntMap a -> [u] # gmapQi :: Int -> (forall d. Data d => d -> u) -> IntMap a -> u # gmapM :: Monad m => (forall d. Data d => d -> m d) -> IntMap a -> m (IntMap a) # gmapMp :: MonadPlus m => (forall d. Data d => d -> m d) -> IntMap a -> m (IntMap a) # gmapMo :: MonadPlus m => (forall d. Data d => d -> m d) -> IntMap a -> m (IntMap a) # | |
| Ord a => Ord (IntMap a) | |
Defined in Data.IntMap.Internal | |
| Read e => Read (IntMap e) | |
| Show a => Show (IntMap a) | |
| Semigroup (IntMap a) | Since: containers-0.5.7 |
| Monoid (IntMap a) | |
| Binary e => Binary (IntMap e) | |
| NFData a => NFData (IntMap a) | |
Defined in Data.IntMap.Internal | |
| Container (IntMap v) | |
Defined in Universum.Container.Class Methods toList :: IntMap v -> [Element (IntMap v)] # foldr :: (Element (IntMap v) -> b -> b) -> b -> IntMap v -> b # foldl :: (b -> Element (IntMap v) -> b) -> b -> IntMap v -> b # foldl' :: (b -> Element (IntMap v) -> b) -> b -> IntMap v -> b # elem :: Element (IntMap v) -> IntMap v -> Bool # maximum :: IntMap v -> Element (IntMap v) # minimum :: IntMap v -> Element (IntMap v) # foldMap :: Monoid m => (Element (IntMap v) -> m) -> IntMap v -> m # fold :: IntMap v -> Element (IntMap v) # foldr' :: (Element (IntMap v) -> b -> b) -> b -> IntMap v -> b # foldr1 :: (Element (IntMap v) -> Element (IntMap v) -> Element (IntMap v)) -> IntMap v -> Element (IntMap v) # foldl1 :: (Element (IntMap v) -> Element (IntMap v) -> Element (IntMap v)) -> IntMap v -> Element (IntMap v) # notElem :: Element (IntMap v) -> IntMap v -> Bool # all :: (Element (IntMap v) -> Bool) -> IntMap v -> Bool # any :: (Element (IntMap v) -> Bool) -> IntMap v -> Bool # find :: (Element (IntMap v) -> Bool) -> IntMap v -> Maybe (Element (IntMap v)) # | |
| One (IntMap v) | |
| ToPairs (IntMap v) | |
| type Item (IntMap a) | |
Defined in Data.IntMap.Internal | |
| type Element (IntMap v) | |
Defined in Universum.Container.Class | |
| type OneItem (IntMap v) | |
Defined in Universum.Container.Class | |
| type Key (IntMap v) | |
Defined in Universum.Container.Class | |
| type Val (IntMap v) | |
Defined in Universum.Container.Class | |
A set of integers.
Instances
A Map from keys k to values a.
Instances
| Eq2 Map | Since: containers-0.5.9 |
| Ord2 Map | Since: containers-0.5.9 |
Defined in Data.Map.Internal | |
| Show2 Map | Since: containers-0.5.9 |
| Functor (Map k) | |
| Foldable (Map k) | |
Defined in Data.Map.Internal Methods fold :: Monoid m => Map k m -> m # foldMap :: Monoid m => (a -> m) -> Map k a -> m # foldr :: (a -> b -> b) -> b -> Map k a -> b # foldr' :: (a -> b -> b) -> b -> Map k a -> b # foldl :: (b -> a -> b) -> b -> Map k a -> b # foldl' :: (b -> a -> b) -> b -> Map k a -> b # foldr1 :: (a -> a -> a) -> Map k a -> a # foldl1 :: (a -> a -> a) -> Map k a -> a # elem :: Eq a => a -> Map k a -> Bool # maximum :: Ord a => Map k a -> a # minimum :: Ord a => Map k a -> a # | |
| Traversable (Map k) | |
| Eq k => Eq1 (Map k) | Since: containers-0.5.9 |
| Ord k => Ord1 (Map k) | Since: containers-0.5.9 |
Defined in Data.Map.Internal | |
| (Ord k, Read k) => Read1 (Map k) | Since: containers-0.5.9 |
Defined in Data.Map.Internal | |
| Show k => Show1 (Map k) | Since: containers-0.5.9 |
| Ord k => IsList (Map k v) | Since: containers-0.5.6.2 |
| (Eq k, Eq a) => Eq (Map k a) | |
| (Data k, Data a, Ord k) => Data (Map k a) | |
Defined in Data.Map.Internal Methods gfoldl :: (forall d b. Data d => c (d -> b) -> d -> c b) -> (forall g. g -> c g) -> Map k a -> c (Map k a) # gunfold :: (forall b r. Data b => c (b -> r) -> c r) -> (forall r. r -> c r) -> Constr -> c (Map k a) # toConstr :: Map k a -> Constr # dataTypeOf :: Map k a -> DataType # dataCast1 :: Typeable t => (forall d. Data d => c (t d)) -> Maybe (c (Map k a)) # dataCast2 :: Typeable t => (forall d e. (Data d, Data e) => c (t d e)) -> Maybe (c (Map k a)) # gmapT :: (forall b. Data b => b -> b) -> Map k a -> Map k a # gmapQl :: (r -> r' -> r) -> r -> (forall d. Data d => d -> r') -> Map k a -> r # gmapQr :: (r' -> r -> r) -> r -> (forall d. Data d => d -> r') -> Map k a -> r # gmapQ :: (forall d. Data d => d -> u) -> Map k a -> [u] # gmapQi :: Int -> (forall d. Data d => d -> u) -> Map k a -> u # gmapM :: Monad m => (forall d. Data d => d -> m d) -> Map k a -> m (Map k a) # gmapMp :: MonadPlus m => (forall d. Data d => d -> m d) -> Map k a -> m (Map k a) # gmapMo :: MonadPlus m => (forall d. Data d => d -> m d) -> Map k a -> m (Map k a) # | |
| (Ord k, Ord v) => Ord (Map k v) | |
| (Ord k, Read k, Read e) => Read (Map k e) | |
| (Show k, Show a) => Show (Map k a) | |
| Ord k => Semigroup (Map k v) | |
| Ord k => Monoid (Map k v) | |
| (Binary k, Binary e) => Binary (Map k e) | |
| (NFData k, NFData a) => NFData (Map k a) | |
Defined in Data.Map.Internal | |
| Container (Map k v) | |
Defined in Universum.Container.Class Methods toList :: Map k v -> [Element (Map k v)] # foldr :: (Element (Map k v) -> b -> b) -> b -> Map k v -> b # foldl :: (b -> Element (Map k v) -> b) -> b -> Map k v -> b # foldl' :: (b -> Element (Map k v) -> b) -> b -> Map k v -> b # elem :: Element (Map k v) -> Map k v -> Bool # maximum :: Map k v -> Element (Map k v) # minimum :: Map k v -> Element (Map k v) # foldMap :: Monoid m => (Element (Map k v) -> m) -> Map k v -> m # fold :: Map k v -> Element (Map k v) # foldr' :: (Element (Map k v) -> b -> b) -> b -> Map k v -> b # foldr1 :: (Element (Map k v) -> Element (Map k v) -> Element (Map k v)) -> Map k v -> Element (Map k v) # foldl1 :: (Element (Map k v) -> Element (Map k v) -> Element (Map k v)) -> Map k v -> Element (Map k v) # notElem :: Element (Map k v) -> Map k v -> Bool # all :: (Element (Map k v) -> Bool) -> Map k v -> Bool # any :: (Element (Map k v) -> Bool) -> Map k v -> Bool # find :: (Element (Map k v) -> Bool) -> Map k v -> Maybe (Element (Map k v)) # | |
| One (Map k v) | |
| ToPairs (Map k v) | |
| type Item (Map k v) | |
Defined in Data.Map.Internal | |
| type Element (Map k v) | |
Defined in Universum.Container.Class | |
| type OneItem (Map k v) | |
Defined in Universum.Container.Class | |
| type Key (Map k v) | |
Defined in Universum.Container.Class | |
| type Val (Map k v) | |
Defined in Universum.Container.Class | |
General-purpose finite sequences.
Instances
| Monad Seq | |
| Functor Seq | |
| MonadFix Seq | Since: containers-0.5.11 |
Defined in Data.Sequence.Internal | |
| Applicative Seq | Since: containers-0.5.4 |
| Foldable Seq | |
Defined in Data.Sequence.Internal Methods fold :: Monoid m => Seq m -> m # foldMap :: Monoid m => (a -> m) -> Seq a -> m # foldr :: (a -> b -> b) -> b -> Seq a -> b # foldr' :: (a -> b -> b) -> b -> Seq a -> b # foldl :: (b -> a -> b) -> b -> Seq a -> b # foldl' :: (b -> a -> b) -> b -> Seq a -> b # foldr1 :: (a -> a -> a) -> Seq a -> a # foldl1 :: (a -> a -> a) -> Seq a -> a # elem :: Eq a => a -> Seq a -> Bool # maximum :: Ord a => Seq a -> a # | |
| Traversable Seq | |
| Eq1 Seq | Since: containers-0.5.9 |
| Ord1 Seq | Since: containers-0.5.9 |
Defined in Data.Sequence.Internal | |
| Read1 Seq | Since: containers-0.5.9 |
Defined in Data.Sequence.Internal | |
| Show1 Seq | Since: containers-0.5.9 |
| MonadZip Seq |
|
| Alternative Seq | Since: containers-0.5.4 |
| MonadPlus Seq | |
| UnzipWith Seq | |
Defined in Data.Sequence.Internal Methods unzipWith' :: (x -> (a, b)) -> Seq x -> (Seq a, Seq b) | |
| IsList (Seq a) | |
| Eq a => Eq (Seq a) | |
| Data a => Data (Seq a) | |
Defined in Data.Sequence.Internal Methods gfoldl :: (forall d b. Data d => c (d -> b) -> d -> c b) -> (forall g. g -> c g) -> Seq a -> c (Seq a) # gunfold :: (forall b r. Data b => c (b -> r) -> c r) -> (forall r. r -> c r) -> Constr -> c (Seq a) # dataTypeOf :: Seq a -> DataType # dataCast1 :: Typeable t => (forall d. Data d => c (t d)) -> Maybe (c (Seq a)) # dataCast2 :: Typeable t => (forall d e. (Data d, Data e) => c (t d e)) -> Maybe (c (Seq a)) # gmapT :: (forall b. Data b => b -> b) -> Seq a -> Seq a # gmapQl :: (r -> r' -> r) -> r -> (forall d. Data d => d -> r') -> Seq a -> r # gmapQr :: (r' -> r -> r) -> r -> (forall d. Data d => d -> r') -> Seq a -> r # gmapQ :: (forall d. Data d => d -> u) -> Seq a -> [u] # gmapQi :: Int -> (forall d. Data d => d -> u) -> Seq a -> u # gmapM :: Monad m => (forall d. Data d => d -> m d) -> Seq a -> m (Seq a) # gmapMp :: MonadPlus m => (forall d. Data d => d -> m d) -> Seq a -> m (Seq a) # gmapMo :: MonadPlus m => (forall d. Data d => d -> m d) -> Seq a -> m (Seq a) # | |
| Ord a => Ord (Seq a) | |
| Read a => Read (Seq a) | |
| Show a => Show (Seq a) | |
| a ~ Char => IsString (Seq a) | Since: containers-0.5.7 |
Defined in Data.Sequence.Internal Methods fromString :: String -> Seq a # | |
| Semigroup (Seq a) | Since: containers-0.5.7 |
| Monoid (Seq a) | |
| Binary e => Binary (Seq e) | |
| NFData a => NFData (Seq a) | |
Defined in Data.Sequence.Internal | |
| Container (Seq a) | |
Defined in Universum.Container.Class Methods toList :: Seq a -> [Element (Seq a)] # foldr :: (Element (Seq a) -> b -> b) -> b -> Seq a -> b # foldl :: (b -> Element (Seq a) -> b) -> b -> Seq a -> b # foldl' :: (b -> Element (Seq a) -> b) -> b -> Seq a -> b # elem :: Element (Seq a) -> Seq a -> Bool # maximum :: Seq a -> Element (Seq a) # minimum :: Seq a -> Element (Seq a) # foldMap :: Monoid m => (Element (Seq a) -> m) -> Seq a -> m # fold :: Seq a -> Element (Seq a) # foldr' :: (Element (Seq a) -> b -> b) -> b -> Seq a -> b # foldr1 :: (Element (Seq a) -> Element (Seq a) -> Element (Seq a)) -> Seq a -> Element (Seq a) # foldl1 :: (Element (Seq a) -> Element (Seq a) -> Element (Seq a)) -> Seq a -> Element (Seq a) # notElem :: Element (Seq a) -> Seq a -> Bool # all :: (Element (Seq a) -> Bool) -> Seq a -> Bool # any :: (Element (Seq a) -> Bool) -> Seq a -> Bool # find :: (Element (Seq a) -> Bool) -> Seq a -> Maybe (Element (Seq a)) # | |
| One (Seq a) | |
| type Item (Seq a) | |
Defined in Data.Sequence.Internal | |
| type Element (Seq a) | |
Defined in Universum.Container.Class | |
| type OneItem (Seq a) | |
Defined in Universum.Container.Class | |
A set of values a.
Instances
| Foldable Set | |
Defined in Data.Set.Internal Methods fold :: Monoid m => Set m -> m # foldMap :: Monoid m => (a -> m) -> Set a -> m # foldr :: (a -> b -> b) -> b -> Set a -> b # foldr' :: (a -> b -> b) -> b -> Set a -> b # foldl :: (b -> a -> b) -> b -> Set a -> b # foldl' :: (b -> a -> b) -> b -> Set a -> b # foldr1 :: (a -> a -> a) -> Set a -> a # foldl1 :: (a -> a -> a) -> Set a -> a # elem :: Eq a => a -> Set a -> Bool # maximum :: Ord a => Set a -> a # | |
| Eq1 Set | Since: containers-0.5.9 |
| Ord1 Set | Since: containers-0.5.9 |
Defined in Data.Set.Internal | |
| Show1 Set | Since: containers-0.5.9 |
| Ord a => IsList (Set a) | Since: containers-0.5.6.2 |
| Eq a => Eq (Set a) | |
| (Data a, Ord a) => Data (Set a) | |
Defined in Data.Set.Internal Methods gfoldl :: (forall d b. Data d => c (d -> b) -> d -> c b) -> (forall g. g -> c g) -> Set a -> c (Set a) # gunfold :: (forall b r. Data b => c (b -> r) -> c r) -> (forall r. r -> c r) -> Constr -> c (Set a) # dataTypeOf :: Set a -> DataType # dataCast1 :: Typeable t => (forall d. Data d => c (t d)) -> Maybe (c (Set a)) # dataCast2 :: Typeable t => (forall d e. (Data d, Data e) => c (t d e)) -> Maybe (c (Set a)) # gmapT :: (forall b. Data b => b -> b) -> Set a -> Set a # gmapQl :: (r -> r' -> r) -> r -> (forall d. Data d => d -> r') -> Set a -> r # gmapQr :: (r' -> r -> r) -> r -> (forall d. Data d => d -> r') -> Set a -> r # gmapQ :: (forall d. Data d => d -> u) -> Set a -> [u] # gmapQi :: Int -> (forall d. Data d => d -> u) -> Set a -> u # gmapM :: Monad m => (forall d. Data d => d -> m d) -> Set a -> m (Set a) # gmapMp :: MonadPlus m => (forall d. Data d => d -> m d) -> Set a -> m (Set a) # gmapMo :: MonadPlus m => (forall d. Data d => d -> m d) -> Set a -> m (Set a) # | |
| Ord a => Ord (Set a) | |
| (Read a, Ord a) => Read (Set a) | |
| Show a => Show (Set a) | |
| Ord a => Semigroup (Set a) | Since: containers-0.5.7 |
| Ord a => Monoid (Set a) | |
| Binary a => Binary (Set a) | |
| NFData a => NFData (Set a) | |
Defined in Data.Set.Internal | |
| Ord v => Container (Set v) | |
Defined in Universum.Container.Class Methods toList :: Set v -> [Element (Set v)] # foldr :: (Element (Set v) -> b -> b) -> b -> Set v -> b # foldl :: (b -> Element (Set v) -> b) -> b -> Set v -> b # foldl' :: (b -> Element (Set v) -> b) -> b -> Set v -> b # elem :: Element (Set v) -> Set v -> Bool # maximum :: Set v -> Element (Set v) # minimum :: Set v -> Element (Set v) # foldMap :: Monoid m => (Element (Set v) -> m) -> Set v -> m # fold :: Set v -> Element (Set v) # foldr' :: (Element (Set v) -> b -> b) -> b -> Set v -> b # foldr1 :: (Element (Set v) -> Element (Set v) -> Element (Set v)) -> Set v -> Element (Set v) # foldl1 :: (Element (Set v) -> Element (Set v) -> Element (Set v)) -> Set v -> Element (Set v) # notElem :: Element (Set v) -> Set v -> Bool # all :: (Element (Set v) -> Bool) -> Set v -> Bool # any :: (Element (Set v) -> Bool) -> Set v -> Bool # find :: (Element (Set v) -> Bool) -> Set v -> Maybe (Element (Set v)) # | |
| One (Set v) | |
| type Item (Set a) | |
Defined in Data.Set.Internal | |
| type Element (Set v) | |
Defined in Universum.Container.Class | |
| type OneItem (Set v) | |
Defined in Universum.Container.Class | |
a variant of deepseq that is useful in some circumstances:
force x = x `deepseq` x
force x fully evaluates x, and then returns it. Note that
force x only performs evaluation when the value of force x
itself is demanded, so essentially it turns shallow evaluation into
deep evaluation.
force can be conveniently used in combination with ViewPatterns:
{-# LANGUAGE BangPatterns, ViewPatterns #-}
import Control.DeepSeq
someFun :: ComplexData -> SomeResult
someFun (force -> !arg) = {- 'arg' will be fully evaluated -}Another useful application is to combine force with
evaluate in order to force deep evaluation
relative to other IO operations:
import Control.Exception (evaluate)
import Control.DeepSeq
main = do
result <- evaluate $ force $ pureComputation
{- 'result' will be fully evaluated at this point -}
return ()Finally, here's an exception safe variant of the readFile' example:
readFile' :: FilePath -> IO String
readFile' fn = bracket (openFile fn ReadMode) hClose $ \h ->
evaluate . force =<< hGetContents hSince: deepseq-1.2.0.0
($!!) :: NFData a => (a -> b) -> a -> b infixr 0 #
the deep analogue of $!. In the expression f $!! x, x is
fully evaluated before the function f is applied to it.
Since: deepseq-1.2.0.0
deepseq :: NFData a => a -> b -> b #
deepseq: fully evaluates the first argument, before returning the
second.
The name deepseq is used to illustrate the relationship to seq:
where seq is shallow in the sense that it only evaluates the top
level of its argument, deepseq traverses the entire data structure
evaluating it completely.
deepseq can be useful for forcing pending exceptions,
eradicating space leaks, or forcing lazy I/O to happen. It is
also useful in conjunction with parallel Strategies (see the
parallel package).
There is no guarantee about the ordering of evaluation. The
implementation may evaluate the components of the structure in
any order or in parallel. To impose an actual order on
evaluation, use pseq from Control.Parallel in the
parallel package.
Since: deepseq-1.1.0.0
A class of types that can be fully evaluated.
Since: deepseq-1.1.0.0
Minimal complete definition
Nothing
Methods
rnf should reduce its argument to normal form (that is, fully
evaluate all sub-components), and then return '()'.
Generic NFData deriving
Starting with GHC 7.2, you can automatically derive instances
for types possessing a Generic instance.
Note: Generic1 can be auto-derived starting with GHC 7.4
{-# LANGUAGE DeriveGeneric #-}
import GHC.Generics (Generic, Generic1)
import Control.DeepSeq
data Foo a = Foo a String
deriving (Eq, Generic, Generic1)
instance NFData a => NFData (Foo a)
instance NFData1 Foo
data Colour = Red | Green | Blue
deriving Generic
instance NFData ColourStarting with GHC 7.10, the example above can be written more
concisely by enabling the new DeriveAnyClass extension:
{-# LANGUAGE DeriveGeneric, DeriveAnyClass #-}
import GHC.Generics (Generic)
import Control.DeepSeq
data Foo a = Foo a String
deriving (Eq, Generic, Generic1, NFData, NFData1)
data Colour = Red | Green | Blue
deriving (Generic, NFData)
Compatibility with previous deepseq versions
Prior to version 1.4.0.0, the default implementation of the rnf
method was defined as
rnfa =seqa ()
However, starting with deepseq-1.4.0.0, the default
implementation is based on DefaultSignatures allowing for
more accurate auto-derived NFData instances. If you need the
previously used exact default rnf method implementation
semantics, use
instance NFData Colour where rnf x = seq x ()
or alternatively
instance NFData Colour where rnf = rwhnf
or
{-# LANGUAGE BangPatterns #-}
instance NFData Colour where rnf !_ = ()Instances
| NFData Bool | |
Defined in Control.DeepSeq | |
| NFData Char | |
Defined in Control.DeepSeq | |
| NFData Double | |
Defined in Control.DeepSeq | |
| NFData Float | |
Defined in Control.DeepSeq | |
| NFData Int | |
Defined in Control.DeepSeq | |
| NFData Int8 | |
Defined in Control.DeepSeq | |
| NFData Int16 | |
Defined in Control.DeepSeq | |
| NFData Int32 | |
Defined in Control.DeepSeq | |
| NFData Int64 | |
Defined in Control.DeepSeq | |
| NFData Integer | |
Defined in Control.DeepSeq | |
| NFData Natural | Since: deepseq-1.4.0.0 |
Defined in Control.DeepSeq | |
| NFData Ordering | |
Defined in Control.DeepSeq | |
| NFData Word | |
Defined in Control.DeepSeq | |
| NFData Word8 | |
Defined in Control.DeepSeq | |
| NFData Word16 | |
Defined in Control.DeepSeq | |
| NFData Word32 | |
Defined in Control.DeepSeq | |
| NFData Word64 | |
Defined in Control.DeepSeq | |
| NFData CallStack | Since: deepseq-1.4.2.0 |
Defined in Control.DeepSeq | |
| NFData () | |
Defined in Control.DeepSeq | |
| NFData TyCon | NOTE: Prior to Since: deepseq-1.4.0.0 |
Defined in Control.DeepSeq | |
| NFData Void | Since: deepseq-1.4.0.0 |
Defined in Control.DeepSeq | |
| NFData Unique | Since: deepseq-1.4.0.0 |
Defined in Control.DeepSeq | |
| NFData Version | Since: deepseq-1.3.0.0 |
Defined in Control.DeepSeq | |
| NFData ThreadId | Since: deepseq-1.4.0.0 |
Defined in Control.DeepSeq | |
| NFData ExitCode | Since: deepseq-1.4.2.0 |
Defined in Control.DeepSeq | |
| NFData MaskingState | Since: deepseq-1.4.4.0 |
Defined in Control.DeepSeq Methods rnf :: MaskingState -> () # | |
| NFData TypeRep | NOTE: Prior to Since: deepseq-1.4.0.0 |
Defined in Control.DeepSeq | |
| NFData All | Since: deepseq-1.4.0.0 |
Defined in Control.DeepSeq | |
| NFData Any | Since: deepseq-1.4.0.0 |
Defined in Control.DeepSeq | |
| NFData CChar | Since: deepseq-1.4.0.0 |
Defined in Control.DeepSeq | |
| NFData CSChar | Since: deepseq-1.4.0.0 |
Defined in Control.DeepSeq | |
| NFData CUChar | Since: deepseq-1.4.0.0 |
Defined in Control.DeepSeq | |
| NFData CShort | Since: deepseq-1.4.0.0 |
Defined in Control.DeepSeq | |
| NFData CUShort | Since: deepseq-1.4.0.0 |
Defined in Control.DeepSeq | |
| NFData CInt | Since: deepseq-1.4.0.0 |
Defined in Control.DeepSeq | |
| NFData CUInt | Since: deepseq-1.4.0.0 |
Defined in Control.DeepSeq | |
| NFData CLong | Since: deepseq-1.4.0.0 |
Defined in Control.DeepSeq | |
| NFData CULong | Since: deepseq-1.4.0.0 |
Defined in Control.DeepSeq | |
| NFData CLLong | Since: deepseq-1.4.0.0 |
Defined in Control.DeepSeq | |
| NFData CULLong | Since: deepseq-1.4.0.0 |
Defined in Control.DeepSeq | |
| NFData CBool | Since: deepseq-1.4.3.0 |
Defined in Control.DeepSeq | |
| NFData CFloat | Since: deepseq-1.4.0.0 |
Defined in Control.DeepSeq | |
| NFData CDouble | Since: deepseq-1.4.0.0 |
Defined in Control.DeepSeq | |
| NFData CPtrdiff | Since: deepseq-1.4.0.0 |
Defined in Control.DeepSeq | |
| NFData CSize | Since: deepseq-1.4.0.0 |
Defined in Control.DeepSeq | |
| NFData CWchar | Since: deepseq-1.4.0.0 |
Defined in Control.DeepSeq | |
| NFData CSigAtomic | Since: deepseq-1.4.0.0 |
Defined in Control.DeepSeq Methods rnf :: CSigAtomic -> () # | |
| NFData CClock | Since: deepseq-1.4.0.0 |
Defined in Control.DeepSeq | |
| NFData CTime | Since: deepseq-1.4.0.0 |
Defined in Control.DeepSeq | |
| NFData CUSeconds | Since: deepseq-1.4.0.0 |
Defined in Control.DeepSeq | |
| NFData CSUSeconds | Since: deepseq-1.4.0.0 |
Defined in Control.DeepSeq Methods rnf :: CSUSeconds -> () # | |
| NFData CFile | Since: deepseq-1.4.0.0 |
Defined in Control.DeepSeq | |
| NFData CFpos | Since: deepseq-1.4.0.0 |
Defined in Control.DeepSeq | |
| NFData CJmpBuf | Since: deepseq-1.4.0.0 |
Defined in Control.DeepSeq | |
| NFData CIntPtr | Since: deepseq-1.4.0.0 |
Defined in Control.DeepSeq | |
| NFData CUIntPtr | Since: deepseq-1.4.0.0 |
Defined in Control.DeepSeq | |
| NFData CIntMax | Since: deepseq-1.4.0.0 |
Defined in Control.DeepSeq | |
| NFData CUIntMax | Since: deepseq-1.4.0.0 |
Defined in Control.DeepSeq | |
| NFData Fingerprint | Since: deepseq-1.4.0.0 |
Defined in Control.DeepSeq Methods rnf :: Fingerprint -> () # | |
| NFData SrcLoc | Since: deepseq-1.4.2.0 |
Defined in Control.DeepSeq | |
| NFData ByteString | |
Defined in Data.ByteString.Lazy.Internal Methods rnf :: ByteString -> () # | |
| NFData ByteString | |
Defined in Data.ByteString.Internal Methods rnf :: ByteString -> () # | |
| NFData IntSet | |
Defined in Data.IntSet.Internal | |
| NFData Doc | |
Defined in Text.PrettyPrint.HughesPJ | |
| NFData TextDetails | |
Defined in Text.PrettyPrint.Annotated.HughesPJ Methods rnf :: TextDetails -> () # | |
| NFData UnicodeException | |
Defined in Data.Text.Encoding.Error Methods rnf :: UnicodeException -> () # | |
| NFData ByteArray | |
Defined in Data.Primitive.ByteArray | |
| NFData CompactSig | |
Defined in Crypto.Secp256k1 | |
| NFData Msg | |
Defined in Crypto.Secp256k1 | |
| NFData PubKey | |
Defined in Crypto.Secp256k1 | |
| NFData SecKey | |
Defined in Crypto.Secp256k1 | |
| NFData Sig | |
Defined in Crypto.Secp256k1 | |
| NFData Tweak | |
Defined in Crypto.Secp256k1 | |
| NFData StdGen | |
Defined in System.Random.Internal | |
| NFData a => NFData [a] | |
Defined in Control.DeepSeq | |
| NFData a => NFData (Maybe a) | |
Defined in Control.DeepSeq | |
| NFData a => NFData (Ratio a) | |
Defined in Control.DeepSeq | |
| NFData (Ptr a) | Since: deepseq-1.4.2.0 |
Defined in Control.DeepSeq | |
| NFData (FunPtr a) | Since: deepseq-1.4.2.0 |
Defined in Control.DeepSeq | |
| NFData a => NFData (Complex a) | |
Defined in Control.DeepSeq | |
| NFData (Fixed a) | Since: deepseq-1.3.0.0 |
Defined in Control.DeepSeq | |
| NFData a => NFData (Min a) | Since: deepseq-1.4.2.0 |
Defined in Control.DeepSeq | |
| NFData a => NFData (Max a) | Since: deepseq-1.4.2.0 |
Defined in Control.DeepSeq | |
| NFData a => NFData (First a) | Since: deepseq-1.4.2.0 |
Defined in Control.DeepSeq | |
| NFData a => NFData (Last a) | Since: deepseq-1.4.2.0 |
Defined in Control.DeepSeq | |
| NFData m => NFData (WrappedMonoid m) | Since: deepseq-1.4.2.0 |
Defined in Control.DeepSeq Methods rnf :: WrappedMonoid m -> () # | |
| NFData a => NFData (Option a) | Since: deepseq-1.4.2.0 |
Defined in Control.DeepSeq | |
| NFData (StableName a) | Since: deepseq-1.4.0.0 |
Defined in Control.DeepSeq Methods rnf :: StableName a -> () # | |
| NFData a => NFData (ZipList a) | Since: deepseq-1.4.0.0 |
Defined in Control.DeepSeq | |
| NFData a => NFData (Identity a) | Since: deepseq-1.4.0.0 |
Defined in Control.DeepSeq | |
| NFData (IORef a) | NOTE: Only strict in the reference and not the referenced value. Since: deepseq-1.4.2.0 |
Defined in Control.DeepSeq | |
| NFData a => NFData (First a) | Since: deepseq-1.4.0.0 |
Defined in Control.DeepSeq | |
| NFData a => NFData (Last a) | Since: deepseq-1.4.0.0 |
Defined in Control.DeepSeq | |
| NFData a => NFData (Dual a) | Since: deepseq-1.4.0.0 |
Defined in Control.DeepSeq | |
| NFData a => NFData (Sum a) | Since: deepseq-1.4.0.0 |
Defined in Control.DeepSeq | |
| NFData a => NFData (Product a) | Since: deepseq-1.4.0.0 |
Defined in Control.DeepSeq | |
| NFData a => NFData (Down a) | Since: deepseq-1.4.0.0 |
Defined in Control.DeepSeq | |
| NFData (MVar a) | NOTE: Only strict in the reference and not the referenced value. Since: deepseq-1.4.2.0 |
Defined in Control.DeepSeq | |
| NFData a => NFData (NonEmpty a) | Since: deepseq-1.4.2.0 |
Defined in Control.DeepSeq | |
| NFData a => NFData (IntMap a) | |
Defined in Data.IntMap.Internal | |
| NFData a => NFData (Tree a) | |
| NFData a => NFData (Seq a) | |
Defined in Data.Sequence.Internal | |
| NFData a => NFData (FingerTree a) | |
Defined in Data.Sequence.Internal Methods rnf :: FingerTree a -> () # | |
| NFData a => NFData (Digit a) | |
Defined in Data.Sequence.Internal | |
| NFData a => NFData (Node a) | |
Defined in Data.Sequence.Internal | |
| NFData a => NFData (Elem a) | |
Defined in Data.Sequence.Internal | |
| NFData a => NFData (Set a) | |
Defined in Data.Set.Internal | |
| NFData a => NFData (Doc a) | |
Defined in Text.PrettyPrint.Annotated.HughesPJ | |
| NFData a => NFData (AnnotDetails a) | |
Defined in Text.PrettyPrint.Annotated.HughesPJ Methods rnf :: AnnotDetails a -> () # | |
| NFData a => NFData (HashSet a) | |
Defined in Data.HashSet.Internal | |
| NFData a => NFData (Vector a) | |
Defined in Data.Vector | |
| NFData (Vector a) | |
Defined in Data.Vector.Unboxed.Base | |
| NFData (MutableByteArray s) | |
Defined in Data.Primitive.ByteArray | |
| NFData (Vector a) | |
Defined in Data.Vector.Primitive | |
| NFData (Context a) | |
Defined in Crypto.Hash.Types | |
| NFData (Digest a) | |
Defined in Crypto.Hash.Types | |
| NFData a => NFData (Hashed a) | |
Defined in Data.Hashable.Class | |
| NFData a => NFData (Array a) | |
Defined in Data.Primitive.Array | |
| NFData (PrimArray a) | |
Defined in Data.Primitive.PrimArray | |
| NFData a => NFData (SmallArray a) | |
Defined in Data.Primitive.SmallArray | |
| NFData (Vector a) | |
Defined in Data.Vector.Storable | |
| NFData g => NFData (StateGen g) | |
Defined in System.Random.Internal | |
| NFData (a -> b) | This instance is for convenience and consistency with Since: deepseq-1.3.0.0 |
Defined in Control.DeepSeq | |
| (NFData a, NFData b) => NFData (Either a b) | |
Defined in Control.DeepSeq | |
| (NFData a, NFData b) => NFData (a, b) | |
Defined in Control.DeepSeq | |
| (NFData a, NFData b) => NFData (Array a b) | |
Defined in Control.DeepSeq | |
| (NFData a, NFData b) => NFData (Arg a b) | Since: deepseq-1.4.2.0 |
Defined in Control.DeepSeq | |
| NFData (Proxy a) | Since: deepseq-1.4.0.0 |
Defined in Control.DeepSeq | |
| NFData (STRef s a) | NOTE: Only strict in the reference and not the referenced value. Since: deepseq-1.4.2.0 |
Defined in Control.DeepSeq | |
| (NFData k, NFData a) => NFData (Map k a) | |
Defined in Data.Map.Internal | |
| (NFData k, NFData v) => NFData (HashMap k v) | |
Defined in Data.HashMap.Internal | |
| NFData (MVector s a) | |
Defined in Data.Vector.Unboxed.Base | |
| NFData (MVector s a) | |
Defined in Data.Vector.Primitive.Mutable | |
| NFData (MutablePrimArray s a) | |
Defined in Data.Primitive.PrimArray | |
| (NFData k, NFData v) => NFData (Leaf k v) | |
Defined in Data.HashMap.Internal | |
| NFData (MVector s a) | |
Defined in Data.Vector.Storable.Mutable | |
| (NFData a1, NFData a2, NFData a3) => NFData (a1, a2, a3) | |
Defined in Control.DeepSeq | |
| NFData a => NFData (Const a b) | Since: deepseq-1.4.0.0 |
Defined in Control.DeepSeq | |
| NFData (a :~: b) | Since: deepseq-1.4.3.0 |
Defined in Control.DeepSeq | |
| (NFData a1, NFData a2, NFData a3, NFData a4) => NFData (a1, a2, a3, a4) | |
Defined in Control.DeepSeq | |
| (NFData1 f, NFData1 g, NFData a) => NFData (Product f g a) | Since: deepseq-1.4.3.0 |
Defined in Control.DeepSeq | |
| (NFData1 f, NFData1 g, NFData a) => NFData (Sum f g a) | Since: deepseq-1.4.3.0 |
Defined in Control.DeepSeq | |
| NFData (a :~~: b) | Since: deepseq-1.4.3.0 |
Defined in Control.DeepSeq | |
| (NFData a1, NFData a2, NFData a3, NFData a4, NFData a5) => NFData (a1, a2, a3, a4, a5) | |
Defined in Control.DeepSeq | |
| (NFData1 f, NFData1 g, NFData a) => NFData (Compose f g a) | Since: deepseq-1.4.3.0 |
Defined in Control.DeepSeq | |
| (NFData a1, NFData a2, NFData a3, NFData a4, NFData a5, NFData a6) => NFData (a1, a2, a3, a4, a5, a6) | |
Defined in Control.DeepSeq | |
| (NFData a1, NFData a2, NFData a3, NFData a4, NFData a5, NFData a6, NFData a7) => NFData (a1, a2, a3, a4, a5, a6, a7) | |
Defined in Control.DeepSeq | |
| (NFData a1, NFData a2, NFData a3, NFData a4, NFData a5, NFData a6, NFData a7, NFData a8) => NFData (a1, a2, a3, a4, a5, a6, a7, a8) | |
Defined in Control.DeepSeq | |
| (NFData a1, NFData a2, NFData a3, NFData a4, NFData a5, NFData a6, NFData a7, NFData a8, NFData a9) => NFData (a1, a2, a3, a4, a5, a6, a7, a8, a9) | |
Defined in Control.DeepSeq | |
class MonadTrans (t :: (Type -> Type) -> Type -> Type) where #
The class of monad transformers. Instances should satisfy the
following laws, which state that lift is a monad transformation:
Methods
lift :: Monad m => m a -> t m a #
Lift a computation from the argument monad to the constructed monad.
Instances
| MonadTrans MaybeT | |
Defined in Control.Monad.Trans.Maybe | |
| MonadTrans (IdentityT :: (Type -> Type) -> Type -> Type) | |
Defined in Control.Monad.Trans.Identity | |
| MonadTrans (ErrorT e) | |
Defined in Control.Monad.Trans.Error | |
| MonadTrans (ExceptT e) | |
Defined in Control.Monad.Trans.Except | |
| MonadTrans (ReaderT r) | |
Defined in Control.Monad.Trans.Reader | |
| MonadTrans (StateT s) | |
Defined in Control.Monad.Trans.State.Strict | |
data IdentityT (f :: k -> Type) (a :: k) :: forall k. (k -> Type) -> k -> Type #
The trivial monad transformer, which maps a monad to an equivalent monad.
Instances
gets :: MonadState s m => (s -> a) -> m a #
Gets specific component of the state, using a projection function supplied.
modify' :: MonadState s m => (s -> s) -> m () #
A variant of modify in which the computation is strict in the
new state.
Since: mtl-2.2
modify :: MonadState s m => (s -> s) -> m () #
Monadic state transformer.
Maps an old state to a new state inside a state monad. The old state is thrown away.
Main> :t modify ((+1) :: Int -> Int)
modify (...) :: (MonadState Int a) => a ()This says that modify (+1) acts over any
Monad that is a member of the MonadState class,
with an Int state.
class Monad m => MonadState s (m :: Type -> Type) | m -> s where #
Minimal definition is either both of get and put or just state
Methods
Return the state from the internals of the monad.
Replace the state inside the monad.
state :: (s -> (a, s)) -> m a #
Embed a simple state action into the monad.
Instances
| MonadState s m => MonadState s (MaybeT m) | |
| MonadState s m => MonadState s (ListT m) | |
| (Monoid w, MonadState s m) => MonadState s (WriterT w m) | |
| (Monoid w, MonadState s m) => MonadState s (WriterT w m) | |
| Monad m => MonadState s (StateT s m) | |
| Monad m => MonadState s (StateT s m) | |
| MonadState s m => MonadState s (ReaderT r m) | |
| MonadState s m => MonadState s (IdentityT m) | |
| MonadState s m => MonadState s (ExceptT e m) | Since: mtl-2.2 |
| (Error e, MonadState s m) => MonadState s (ErrorT e m) | |
| MonadState s m => MonadState s (ContT r m) | |
| (Monad m, Monoid w) => MonadState s (RWST r w s m) | |
| (Monad m, Monoid w) => MonadState s (RWST r w s m) | |
Arguments
| :: MonadReader r m | |
| => (r -> a) | The selector function to apply to the environment. |
| -> m a |
Retrieves a function of the current environment.
class Monad m => MonadReader r (m :: Type -> Type) | m -> r where #
See examples in Control.Monad.Reader.
Note, the partially applied function type (->) r is a simple reader monad.
See the instance declaration below.
Methods
Retrieves the monad environment.
Arguments
| :: (r -> r) | The function to modify the environment. |
| -> m a |
|
| -> m a |
Executes a computation in a modified environment.
Arguments
| :: (r -> a) | The selector function to apply to the environment. |
| -> m a |
Retrieves a function of the current environment.
Instances
| MonadReader r m => MonadReader r (MaybeT m) | |
| MonadReader r m => MonadReader r (ListT m) | |
| (Monoid w, MonadReader r m) => MonadReader r (WriterT w m) | |
| (Monoid w, MonadReader r m) => MonadReader r (WriterT w m) | |
| MonadReader r m => MonadReader r (StateT s m) | |
| MonadReader r m => MonadReader r (StateT s m) | |
| Monad m => MonadReader r (ReaderT r m) | |
| MonadReader r m => MonadReader r (IdentityT m) | |
| MonadReader r m => MonadReader r (ExceptT e m) | Since: mtl-2.2 |
| (Error e, MonadReader r m) => MonadReader r (ErrorT e m) | |
| MonadReader r ((->) r :: Type -> Type) | |
| MonadReader r' m => MonadReader r' (ContT r m) | |
| (Monad m, Monoid w) => MonadReader r (RWST r w s m) | |
| (Monad m, Monoid w) => MonadReader r (RWST r w s m) | |
newtype ExceptT e (m :: Type -> Type) a #
A monad transformer that adds exceptions to other monads.
ExceptT constructs a monad parameterized over two things:
- e - The exception type.
- m - The inner monad.
The return function yields a computation that produces the given
value, while >>= sequences two subcomputations, exiting on the
first exception.
Instances
| MonadState s m => MonadState s (ExceptT e m) | Since: mtl-2.2 |
| MonadReader r m => MonadReader r (ExceptT e m) | Since: mtl-2.2 |
| Monad m => MonadError e (ExceptT e m) | Since: mtl-2.2 |
Defined in Control.Monad.Error.Class Methods throwError :: e -> ExceptT e m a # catchError :: ExceptT e m a -> (e -> ExceptT e m a) -> ExceptT e m a # | |
| MonadTrans (ExceptT e) | |
Defined in Control.Monad.Trans.Except | |
| Monad m => Monad (ExceptT e m) | |
| Functor m => Functor (ExceptT e m) | |
| MonadFix m => MonadFix (ExceptT e m) | |
Defined in Control.Monad.Trans.Except | |
| MonadFail m => MonadFail (ExceptT e m) | |
Defined in Control.Monad.Trans.Except | |
| (Functor m, Monad m) => Applicative (ExceptT e m) | |
Defined in Control.Monad.Trans.Except | |
| Foldable f => Foldable (ExceptT e f) | |
Defined in Control.Monad.Trans.Except Methods fold :: Monoid m => ExceptT e f m -> m # foldMap :: Monoid m => (a -> m) -> ExceptT e f a -> m # foldr :: (a -> b -> b) -> b -> ExceptT e f a -> b # foldr' :: (a -> b -> b) -> b -> ExceptT e f a -> b # foldl :: (b -> a -> b) -> b -> ExceptT e f a -> b # foldl' :: (b -> a -> b) -> b -> ExceptT e f a -> b # foldr1 :: (a -> a -> a) -> ExceptT e f a -> a # foldl1 :: (a -> a -> a) -> ExceptT e f a -> a # toList :: ExceptT e f a -> [a] # null :: ExceptT e f a -> Bool # length :: ExceptT e f a -> Int # elem :: Eq a => a -> ExceptT e f a -> Bool # maximum :: Ord a => ExceptT e f a -> a # minimum :: Ord a => ExceptT e f a -> a # | |
| Traversable f => Traversable (ExceptT e f) | |
Defined in Control.Monad.Trans.Except | |
| Contravariant m => Contravariant (ExceptT e m) | |
| (Eq e, Eq1 m) => Eq1 (ExceptT e m) | |
| (Ord e, Ord1 m) => Ord1 (ExceptT e m) | |
Defined in Control.Monad.Trans.Except | |
| (Read e, Read1 m) => Read1 (ExceptT e m) | |
Defined in Control.Monad.Trans.Except Methods liftReadsPrec :: (Int -> ReadS a) -> ReadS [a] -> Int -> ReadS (ExceptT e m a) # liftReadList :: (Int -> ReadS a) -> ReadS [a] -> ReadS [ExceptT e m a] # liftReadPrec :: ReadPrec a -> ReadPrec [a] -> ReadPrec (ExceptT e m a) # liftReadListPrec :: ReadPrec a -> ReadPrec [a] -> ReadPrec [ExceptT e m a] # | |
| (Show e, Show1 m) => Show1 (ExceptT e m) | |
| MonadZip m => MonadZip (ExceptT e m) | |
| MonadIO m => MonadIO (ExceptT e m) | |
Defined in Control.Monad.Trans.Except | |
| (Functor m, Monad m, Monoid e) => Alternative (ExceptT e m) | |
| (Monad m, Monoid e) => MonadPlus (ExceptT e m) | |
| MonadCatch m => MonadCatch (ExceptT e m) | |
| MonadMask m => MonadMask (ExceptT e m) | |
Defined in Control.Monad.Catch Methods mask :: ((forall a. ExceptT e m a -> ExceptT e m a) -> ExceptT e m b) -> ExceptT e m b # uninterruptibleMask :: ((forall a. ExceptT e m a -> ExceptT e m a) -> ExceptT e m b) -> ExceptT e m b # generalBracket :: ExceptT e m a -> (a -> ExitCase b -> ExceptT e m c) -> (a -> ExceptT e m b) -> ExceptT e m (b, c) # | |
| MonadThrow m => MonadThrow (ExceptT e m) | |
Defined in Control.Monad.Catch | |
| PrimMonad m => PrimMonad (ExceptT e m) | |
| Zoom m n s t => Zoom (ExceptT e m) (ExceptT e n) s t | |
Defined in Lens.Micro.Mtl.Internal | |
| (Eq e, Eq1 m, Eq a) => Eq (ExceptT e m a) | |
| (Ord e, Ord1 m, Ord a) => Ord (ExceptT e m a) | |
Defined in Control.Monad.Trans.Except Methods compare :: ExceptT e m a -> ExceptT e m a -> Ordering # (<) :: ExceptT e m a -> ExceptT e m a -> Bool # (<=) :: ExceptT e m a -> ExceptT e m a -> Bool # (>) :: ExceptT e m a -> ExceptT e m a -> Bool # (>=) :: ExceptT e m a -> ExceptT e m a -> Bool # | |
| (Read e, Read1 m, Read a) => Read (ExceptT e m a) | |
| (Show e, Show1 m, Show a) => Show (ExceptT e m a) | |
| type PrimState (ExceptT e m) | |
Defined in Control.Monad.Primitive type PrimState (ExceptT e m) = PrimState m | |
| type Zoomed (ExceptT e m) | |
Defined in Lens.Micro.Mtl.Internal type Zoomed (ExceptT e m) = FocusingErr e (Zoomed m) | |
runExceptT :: ExceptT e m a -> m (Either e a) #
The inverse of ExceptT.
newtype ReaderT r (m :: Type -> Type) a #
The reader monad transformer, which adds a read-only environment to the given monad.
The return function ignores the environment, while >>= passes
the inherited environment to both subcomputations.
Constructors
| ReaderT | |
Fields
| |
Instances
type Reader r = ReaderT r Identity #
The parameterizable reader monad.
Computations are functions of a shared environment.
The return function ignores the environment, while >>= passes
the inherited environment to both subcomputations.
Arguments
| :: Reader r a | A |
| -> r | An initial environment. |
| -> a |
Runs a Reader and extracts the final value from it.
(The inverse of reader.)
newtype StateT s (m :: Type -> Type) a #
A state transformer monad parameterized by:
s- The state.m- The inner monad.
The return function leaves the state unchanged, while >>= uses
the final state of the first computation as the initial state of
the second.
Instances
type State s = StateT s Identity #
A state monad parameterized by the type s of the state to carry.
The return function leaves the state unchanged, while >>= uses
the final state of the first computation as the initial state of
the second.
Arguments
| :: State s a | state-passing computation to execute |
| -> s | initial state |
| -> (a, s) | return value and final state |
Unwrap a state monad computation as a function.
(The inverse of state.)
Arguments
| :: State s a | state-passing computation to execute |
| -> s | initial value |
| -> a | return value of the state computation |
Arguments
| :: State s a | state-passing computation to execute |
| -> s | initial value |
| -> s | final state |
evalStateT :: Monad m => StateT s m a -> s -> m a #
Evaluate a state computation with the given initial state and return the final value, discarding the final state.
evalStateTm s =liftMfst(runStateTm s)
execStateT :: Monad m => StateT s m a -> s -> m s #
Evaluate a state computation with the given initial state and return the final state, discarding the final value.
execStateTm s =liftMsnd(runStateTm s)
modifyTVar' :: TVar a -> (a -> a) -> STM () #
Strict version of modifyTVar.
Since: stm-2.3
decodeUtf8' :: ByteString -> Either UnicodeException Text #
Decode a ByteString containing UTF-8 encoded text.
If the input contains any invalid UTF-8 data, the relevant exception will be returned, otherwise the decoded text.
decodeUtf8With :: OnDecodeError -> ByteString -> Text #
Decode a ByteString containing UTF-8 encoded text.
NOTE: The replacement character returned by OnDecodeError
MUST be within the BMP plane; surrogate code points will
automatically be remapped to the replacement char U+FFFD
(since 0.11.3.0), whereas code points beyond the BMP will throw an
error (since 1.2.3.1); For earlier versions of text using
those unsupported code points would result in undefined behavior.
A space efficient, packed, unboxed Unicode text type.
Instances
lenientDecode :: OnDecodeError #
Replace an invalid input byte with the Unicode replacement character U+FFFD.
strictDecode :: OnDecodeError #
Throw a UnicodeException if decoding fails.
type OnError a b = String -> Maybe a -> Maybe b #
Function type for handling a coding error. It is supplied with two inputs:
- A
Stringthat describes the error. - The input value that caused the error. If the error arose
because the end of input was reached or could not be identified
precisely, this value will be
Nothing.
If the handler returns a value wrapped with Just, that value will
be used in the output as the replacement for the invalid input. If
it returns Nothing, no value will be used in the output.
Should the handler need to abort processing, it should use error
or throw an exception (preferably a UnicodeException). It may
use the description provided to construct a more helpful error
report.
type OnDecodeError = OnError Word8 Char #
A handler for a decoding error.
data UnicodeException #
An exception type for representing Unicode encoding errors.
Instances
| Eq UnicodeException | |
Defined in Data.Text.Encoding.Error Methods (==) :: UnicodeException -> UnicodeException -> Bool # (/=) :: UnicodeException -> UnicodeException -> Bool # | |
| Show UnicodeException | |
Defined in Data.Text.Encoding.Error Methods showsPrec :: Int -> UnicodeException -> ShowS # show :: UnicodeException -> String # showList :: [UnicodeException] -> ShowS # | |
| Exception UnicodeException | |
Defined in Data.Text.Encoding.Error Methods toException :: UnicodeException -> SomeException # | |
| NFData UnicodeException | |
Defined in Data.Text.Encoding.Error Methods rnf :: UnicodeException -> () # | |
exceptToMaybeT :: Functor m => ExceptT e m a -> MaybeT m a #
maybeToExceptT :: Functor m => e -> MaybeT m a -> ExceptT e m a #
newtype MaybeT (m :: Type -> Type) a #
The parameterizable maybe monad, obtained by composing an arbitrary
monad with the Maybe monad.
Computations are actions that may produce a value or exit.
The return function yields a computation that produces that
value, while >>= sequences two subcomputations, exiting if either
computation does.
Instances
preuse :: MonadState s m => Getting (First a) s a -> m (Maybe a) #
preview :: MonadReader s m => Getting (First a) s a -> m (Maybe a) #
use :: MonadState s m => Getting a s a -> m a #
view :: MonadReader s m => Getting a s a -> m a #
bracketOnError :: MonadMask m => m a -> (a -> m b) -> (a -> m c) -> m c #
catch :: (MonadCatch m, Exception e) => m a -> (e -> m a) -> m a #
catchAny :: MonadCatch m => m a -> (SomeException -> m a) -> m a #
handleAny :: MonadCatch m => (SomeException -> m a) -> m a -> m a #
onException :: MonadMask m => m a -> m b -> m a #
throwM :: (MonadThrow m, Exception e) => e -> m a #
try :: (MonadCatch m, Exception e) => m a -> m (Either e a) #
tryAny :: MonadCatch m => m a -> m (Either SomeException a) #
pass :: Applicative f => f () #
asum :: (Container t, Alternative f, Element t ~ f a) => t -> f a #
flipfoldl' :: (Container t, Element t ~ a) => (a -> b -> b) -> b -> t -> b #
for_ :: (Container t, Applicative f) => t -> (Element t -> f b) -> f () #
sequenceA_ :: (Container t, Applicative f, Element t ~ f a) => t -> f () #
traverse_ :: (Container t, Applicative f) => (Element t -> f b) -> t -> f () #
error :: HasCallStack => Text -> a #
traceIdWith :: (a -> Text) -> a -> a #
traceShowId :: Show a => a -> a #
traceShowIdWith :: Show s => (a -> s) -> a -> a #
traceShowM :: (Show a, Monad m) => a -> m () #
undefined :: HasCallStack => a #
evaluateNF :: (NFData a, MonadIO m) => a -> m a #
evaluateNF_ :: (NFData a, MonadIO m) => a -> m () #
evaluateWHNF :: MonadIO m => a -> m a #
evaluateWHNF_ :: MonadIO m => a -> m () #
pattern Exc :: forall e. Exception e => e -> SomeException #
bug :: (HasCallStack, Exception e) => e -> a #
note :: MonadError e m => e -> Maybe a -> m a #
atomically :: MonadIO m => STM a -> m a #
newEmptyMVar :: MonadIO m => m (MVar a) #
readTVarIO :: MonadIO m => TVar a -> m a #
tryPutMVar :: MonadIO m => MVar a -> a -> m Bool #
tryReadMVar :: MonadIO m => MVar a -> m (Maybe a) #
tryTakeMVar :: MonadIO m => MVar a -> m (Maybe a) #
exitFailure :: MonadIO m => m a #
exitSuccess :: MonadIO m => m a #
appendFile :: MonadIO m => FilePath -> Text -> m () #
atomicModifyIORef :: MonadIO m => IORef a -> (a -> (a, b)) -> m b #
atomicModifyIORef' :: MonadIO m => IORef a -> (a -> (a, b)) -> m b #
atomicWriteIORef :: MonadIO m => IORef a -> a -> m () #
modifyIORef :: MonadIO m => IORef a -> (a -> a) -> m () #
modifyIORef' :: MonadIO m => IORef a -> (a -> a) -> m () #
writeIORef :: MonadIO m => IORef a -> a -> m () #
whenNotNull :: Applicative f => [a] -> (NonEmpty a -> f ()) -> f () #
whenNotNullM :: Monad m => m [a] -> (NonEmpty a -> m ()) -> m () #
concatForM :: (Applicative f, Monoid m, Container (l m), Element (l m) ~ m, Traversable l) => l a -> (a -> f m) -> f m #
concatMapM :: (Applicative f, Monoid m, Container (l m), Element (l m) ~ m, Traversable l) => (a -> f m) -> l a -> f m #
leftToMaybe :: Either l r -> Maybe l #
maybeToLeft :: r -> Maybe l -> Either l r #
maybeToRight :: l -> Maybe r -> Either l r #
rightToMaybe :: Either l r -> Maybe r #
whenLeft :: Applicative f => Either l r -> (l -> f ()) -> f () #
whenRight :: Applicative f => Either l r -> (r -> f ()) -> f () #
whenRightM :: Monad m => m (Either l r) -> (r -> m ()) -> m () #
whenJust :: Applicative f => Maybe a -> (a -> f ()) -> f () #
whenNothing :: Applicative f => Maybe a -> f a -> f a #
whenNothingM :: Monad m => m (Maybe a) -> m a -> m a #
whenNothingM_ :: Monad m => m (Maybe a) -> m () -> m () #
whenNothing_ :: Applicative f => Maybe a -> f () -> f () #
evaluatingState :: s -> State s a -> a #
evaluatingStateT :: Functor f => s -> StateT s f a -> f a #
executingState :: s -> State s a -> s #
executingStateT :: Functor f => s -> StateT s f a -> f s #
usingReader :: r -> Reader r a -> a #
usingReaderT :: r -> ReaderT r m a -> m a #
usingState :: s -> State s a -> (a, s) #
usingStateT :: s -> StateT s m a -> m (a, s) #
maybeToMonoid :: Monoid m => Maybe m -> m #
unstableNub :: (Eq a, Hashable a) => [a] -> [a] #
putLTextLn :: MonadIO m => Text -> m () #
class MonadThrow m => MonadCatch (m :: Type -> Type) #
Minimal complete definition
catch
Instances
| MonadCatch IO | |
| MonadCatch STM | |
| e ~ SomeException => MonadCatch (Either e) | |
| MonadCatch m => MonadCatch (ListT m) | |
| MonadCatch m => MonadCatch (MaybeT m) | |
| MonadCatch m => MonadCatch (IdentityT m) | |
| (Error e, MonadCatch m) => MonadCatch (ErrorT e m) | |
| MonadCatch m => MonadCatch (ExceptT e m) | |
| MonadCatch m => MonadCatch (ReaderT r m) | |
| MonadCatch m => MonadCatch (StateT s m) | |
| MonadCatch m => MonadCatch (StateT s m) | |
| (MonadCatch m, Monoid w) => MonadCatch (WriterT w m) | |
| (MonadCatch m, Monoid w) => MonadCatch (WriterT w m) | |
| (MonadCatch m, Monoid w) => MonadCatch (RWST r w s m) | |
| (MonadCatch m, Monoid w) => MonadCatch (RWST r w s m) | |
class MonadCatch m => MonadMask (m :: Type -> Type) where #
Methods
mask :: ((forall a. m a -> m a) -> m b) -> m b #
uninterruptibleMask :: ((forall a. m a -> m a) -> m b) -> m b #
generalBracket :: m a -> (a -> ExitCase b -> m c) -> (a -> m b) -> m (b, c) #
Instances
| MonadMask IO | |
| e ~ SomeException => MonadMask (Either e) | |
Defined in Control.Monad.Catch | |
| MonadMask m => MonadMask (MaybeT m) | |
Defined in Control.Monad.Catch | |
| MonadMask m => MonadMask (IdentityT m) | |
Defined in Control.Monad.Catch Methods mask :: ((forall a. IdentityT m a -> IdentityT m a) -> IdentityT m b) -> IdentityT m b # uninterruptibleMask :: ((forall a. IdentityT m a -> IdentityT m a) -> IdentityT m b) -> IdentityT m b # generalBracket :: IdentityT m a -> (a -> ExitCase b -> IdentityT m c) -> (a -> IdentityT m b) -> IdentityT m (b, c) # | |
| (Error e, MonadMask m) => MonadMask (ErrorT e m) | |
Defined in Control.Monad.Catch Methods mask :: ((forall a. ErrorT e m a -> ErrorT e m a) -> ErrorT e m b) -> ErrorT e m b # uninterruptibleMask :: ((forall a. ErrorT e m a -> ErrorT e m a) -> ErrorT e m b) -> ErrorT e m b # generalBracket :: ErrorT e m a -> (a -> ExitCase b -> ErrorT e m c) -> (a -> ErrorT e m b) -> ErrorT e m (b, c) # | |
| MonadMask m => MonadMask (ExceptT e m) | |
Defined in Control.Monad.Catch Methods mask :: ((forall a. ExceptT e m a -> ExceptT e m a) -> ExceptT e m b) -> ExceptT e m b # uninterruptibleMask :: ((forall a. ExceptT e m a -> ExceptT e m a) -> ExceptT e m b) -> ExceptT e m b # generalBracket :: ExceptT e m a -> (a -> ExitCase b -> ExceptT e m c) -> (a -> ExceptT e m b) -> ExceptT e m (b, c) # | |
| MonadMask m => MonadMask (ReaderT r m) | |
Defined in Control.Monad.Catch Methods mask :: ((forall a. ReaderT r m a -> ReaderT r m a) -> ReaderT r m b) -> ReaderT r m b # uninterruptibleMask :: ((forall a. ReaderT r m a -> ReaderT r m a) -> ReaderT r m b) -> ReaderT r m b # generalBracket :: ReaderT r m a -> (a -> ExitCase b -> ReaderT r m c) -> (a -> ReaderT r m b) -> ReaderT r m (b, c) # | |
| MonadMask m => MonadMask (StateT s m) | |
Defined in Control.Monad.Catch Methods mask :: ((forall a. StateT s m a -> StateT s m a) -> StateT s m b) -> StateT s m b # uninterruptibleMask :: ((forall a. StateT s m a -> StateT s m a) -> StateT s m b) -> StateT s m b # generalBracket :: StateT s m a -> (a -> ExitCase b -> StateT s m c) -> (a -> StateT s m b) -> StateT s m (b, c) # | |
| MonadMask m => MonadMask (StateT s m) | |
Defined in Control.Monad.Catch Methods mask :: ((forall a. StateT s m a -> StateT s m a) -> StateT s m b) -> StateT s m b # uninterruptibleMask :: ((forall a. StateT s m a -> StateT s m a) -> StateT s m b) -> StateT s m b # generalBracket :: StateT s m a -> (a -> ExitCase b -> StateT s m c) -> (a -> StateT s m b) -> StateT s m (b, c) # | |
| (MonadMask m, Monoid w) => MonadMask (WriterT w m) | |
Defined in Control.Monad.Catch Methods mask :: ((forall a. WriterT w m a -> WriterT w m a) -> WriterT w m b) -> WriterT w m b # uninterruptibleMask :: ((forall a. WriterT w m a -> WriterT w m a) -> WriterT w m b) -> WriterT w m b # generalBracket :: WriterT w m a -> (a -> ExitCase b -> WriterT w m c) -> (a -> WriterT w m b) -> WriterT w m (b, c) # | |
| (MonadMask m, Monoid w) => MonadMask (WriterT w m) | |
Defined in Control.Monad.Catch Methods mask :: ((forall a. WriterT w m a -> WriterT w m a) -> WriterT w m b) -> WriterT w m b # uninterruptibleMask :: ((forall a. WriterT w m a -> WriterT w m a) -> WriterT w m b) -> WriterT w m b # generalBracket :: WriterT w m a -> (a -> ExitCase b -> WriterT w m c) -> (a -> WriterT w m b) -> WriterT w m (b, c) # | |
| (MonadMask m, Monoid w) => MonadMask (RWST r w s m) | |
Defined in Control.Monad.Catch Methods mask :: ((forall a. RWST r w s m a -> RWST r w s m a) -> RWST r w s m b) -> RWST r w s m b # uninterruptibleMask :: ((forall a. RWST r w s m a -> RWST r w s m a) -> RWST r w s m b) -> RWST r w s m b # generalBracket :: RWST r w s m a -> (a -> ExitCase b -> RWST r w s m c) -> (a -> RWST r w s m b) -> RWST r w s m (b, c) # | |
| (MonadMask m, Monoid w) => MonadMask (RWST r w s m) | |
Defined in Control.Monad.Catch Methods mask :: ((forall a. RWST r w s m a -> RWST r w s m a) -> RWST r w s m b) -> RWST r w s m b # uninterruptibleMask :: ((forall a. RWST r w s m a -> RWST r w s m a) -> RWST r w s m b) -> RWST r w s m b # generalBracket :: RWST r w s m a -> (a -> ExitCase b -> RWST r w s m c) -> (a -> RWST r w s m b) -> RWST r w s m (b, c) # | |
class Monad m => MonadThrow (m :: Type -> Type) #
Minimal complete definition
throwM
Instances
Minimal complete definition
Nothing
Methods
hashWithSalt :: Int -> a -> Int #
Instances
type Traversal s t a b = forall (f :: Type -> Type). Applicative f => (a -> f b) -> s -> f t #
type Traversal' s a = Traversal s s a a #
Minimal complete definition
Nothing
Methods
foldr :: (Element t -> b -> b) -> b -> t -> b #
foldl :: (b -> Element t -> b) -> b -> t -> b #
foldl' :: (b -> Element t -> b) -> b -> t -> b #
elem :: Element t -> t -> Bool #
foldMap :: Monoid m => (Element t -> m) -> t -> m #
foldr' :: (Element t -> b -> b) -> b -> t -> b #
foldr1 :: (Element t -> Element t -> Element t) -> t -> Element t #
foldl1 :: (Element t -> Element t -> Element t) -> t -> Element t #
notElem :: Element t -> t -> Bool #
all :: (Element t -> Bool) -> t -> Bool #
any :: (Element t -> Bool) -> t -> Bool #
Instances
Instances
| One ByteString | |
Defined in Universum.Container.Class Associated Types type OneItem ByteString :: Type # Methods one :: OneItem ByteString -> ByteString # | |
| One ByteString | |
Defined in Universum.Container.Class Associated Types type OneItem ByteString :: Type # Methods one :: OneItem ByteString -> ByteString # | |
| One IntSet | |
| One Text | |
| One Text | |
| One [a] | |
| One (NonEmpty a) | |
| One (IntMap v) | |
| One (Seq a) | |
| One (Set v) | |
| Hashable v => One (HashSet v) | |
| One (Vector a) | |
| Unbox a => One (Vector a) | |
| Prim a => One (Vector a) | |
| Storable a => One (Vector a) | |
| One (Map k v) | |
| Hashable k => One (HashMap k v) | |
Constructors
| Undefined |
Instances
| Bounded Undefined | |
| Enum Undefined | |
Defined in Universum.Debug Methods succ :: Undefined -> Undefined # pred :: Undefined -> Undefined # fromEnum :: Undefined -> Int # enumFrom :: Undefined -> [Undefined] # enumFromThen :: Undefined -> Undefined -> [Undefined] # enumFromTo :: Undefined -> Undefined -> [Undefined] # enumFromThenTo :: Undefined -> Undefined -> Undefined -> [Undefined] # | |
| Eq Undefined | |
| Data Undefined | |
Defined in Universum.Debug Methods gfoldl :: (forall d b. Data d => c (d -> b) -> d -> c b) -> (forall g. g -> c g) -> Undefined -> c Undefined # gunfold :: (forall b r. Data b => c (b -> r) -> c r) -> (forall r. r -> c r) -> Constr -> c Undefined # toConstr :: Undefined -> Constr # dataTypeOf :: Undefined -> DataType # dataCast1 :: Typeable t => (forall d. Data d => c (t d)) -> Maybe (c Undefined) # dataCast2 :: Typeable t => (forall d e. (Data d, Data e) => c (t d e)) -> Maybe (c Undefined) # gmapT :: (forall b. Data b => b -> b) -> Undefined -> Undefined # gmapQl :: (r -> r' -> r) -> r -> (forall d. Data d => d -> r') -> Undefined -> r # gmapQr :: (r' -> r -> r) -> r -> (forall d. Data d => d -> r') -> Undefined -> r # gmapQ :: (forall d. Data d => d -> u) -> Undefined -> [u] # gmapQi :: Int -> (forall d. Data d => d -> u) -> Undefined -> u # gmapM :: Monad m => (forall d. Data d => d -> m d) -> Undefined -> m Undefined # gmapMp :: MonadPlus m => (forall d. Data d => d -> m d) -> Undefined -> m Undefined # gmapMo :: MonadPlus m => (forall d. Data d => d -> m d) -> Undefined -> m Undefined # | |
| Ord Undefined | |
| Read Undefined | |
| Show Undefined | |
| Generic Undefined | |
| type Rep Undefined | |
Constructors
| Bug SomeException CallStack |
Instances
| Show Bug | |
| Exception Bug | |
Defined in Universum.Exception Methods toException :: Bug -> SomeException # fromException :: SomeException -> Maybe Bug # displayException :: Bug -> String # | |
Minimal complete definition
hPutStr, hPutStrLn
Instances
| Print ByteString | |
Defined in Universum.Print.Internal | |
| Print ByteString | |
Defined in Universum.Print.Internal | |
| Print Text | |
| Print Text | |
| Print [Char] | |
class ConvertUtf8 a b where #
Methods
encodeUtf8 :: a -> b #
decodeUtf8 :: b -> a #
decodeUtf8Strict :: b -> Either UnicodeException a #
Instances
type LByteString = ByteString #
type family Each (c :: [k -> Constraint]) (as :: [k]) :: Constraint where ... #
Equations
| Each (c :: [k -> Constraint]) ([] :: [k]) = () | |
| Each (c :: [k -> Constraint]) (h ': t :: [k]) = (c <+> h, Each c t) |
type With (a :: [k -> Constraint]) (b :: k) = a <+> b #
class SuperComposition a b c | a b -> c where #
Instances
| (a ~ c, r ~ b) => SuperComposition (a -> b) c r | |
Defined in Universum.VarArg | |
| (SuperComposition (a -> b) d r1, r ~ (c -> r1)) => SuperComposition (a -> b) (c -> d) r | |
Defined in Universum.VarArg | |
Instances
| Bifoldable HashMap | |
| Eq2 HashMap | |
| Ord2 HashMap | |
Defined in Data.HashMap.Internal | |
| Show2 HashMap | |
| Hashable2 HashMap | |
Defined in Data.HashMap.Internal | |
| Functor (HashMap k) | |
| 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 # foldr :: (a -> b -> b) -> b -> HashMap k a -> b # foldr' :: (a -> b -> b) -> b -> HashMap k a -> b # foldl :: (b -> a -> b) -> b -> HashMap k a -> b # foldl' :: (b -> a -> b) -> b -> HashMap k a -> b # foldr1 :: (a -> a -> a) -> HashMap k a -> a # foldl1 :: (a -> a -> a) -> HashMap k a -> a # toList :: HashMap k a -> [a] # length :: HashMap k a -> Int # elem :: Eq a => a -> HashMap k a -> Bool # maximum :: Ord a => HashMap k a -> a # minimum :: Ord a => HashMap k a -> a # | |
| Traversable (HashMap k) | |
Defined in Data.HashMap.Internal | |
| Eq k => Eq1 (HashMap k) | |
| Ord k => Ord1 (HashMap k) | |
Defined in Data.HashMap.Internal | |
| (Eq k, Hashable k, Read k) => Read1 (HashMap k) | |
Defined in Data.HashMap.Internal | |
| Show k => Show1 (HashMap k) | |
| Hashable k => Hashable1 (HashMap k) | |
Defined in Data.HashMap.Internal | |
| (Eq k, Hashable k) => IsList (HashMap k v) | |
| (Eq k, Eq v) => Eq (HashMap k v) | |
| (Data k, Data v, Eq k, Hashable k) => Data (HashMap k v) | |
Defined in Data.HashMap.Internal Methods gfoldl :: (forall d b. Data d => c (d -> b) -> d -> c b) -> (forall g. g -> c g) -> HashMap k v -> c (HashMap k v) # gunfold :: (forall b r. Data b => c (b -> r) -> c r) -> (forall r. r -> c r) -> Constr -> c (HashMap k v) # toConstr :: HashMap k v -> Constr # dataTypeOf :: HashMap k v -> DataType # dataCast1 :: Typeable t => (forall d. Data d => c (t d)) -> Maybe (c (HashMap k v)) # dataCast2 :: Typeable t => (forall d e. (Data d, Data e) => c (t d e)) -> Maybe (c (HashMap k v)) # gmapT :: (forall b. Data b => b -> b) -> HashMap k v -> HashMap k v # gmapQl :: (r -> r' -> r) -> r -> (forall d. Data d => d -> r') -> HashMap k v -> r # gmapQr :: (r' -> r -> r) -> r -> (forall d. Data d => d -> r') -> HashMap k v -> r # gmapQ :: (forall d. Data d => d -> u) -> HashMap k v -> [u] # gmapQi :: Int -> (forall d. Data d => d -> u) -> HashMap k v -> u # gmapM :: Monad m => (forall d. Data d => d -> m d) -> HashMap k v -> m (HashMap k v) # gmapMp :: MonadPlus m => (forall d. Data d => d -> m d) -> HashMap k v -> m (HashMap k v) # gmapMo :: MonadPlus m => (forall d. Data d => d -> m d) -> HashMap k v -> m (HashMap k v) # | |
| (Ord k, Ord v) => Ord (HashMap k v) | |
Defined in Data.HashMap.Internal | |
| (Eq k, Hashable k, Read k, Read e) => Read (HashMap k e) | |
| (Show k, Show v) => Show (HashMap k v) | |
| (Eq k, Hashable k) => Semigroup (HashMap k v) | |
| (Eq k, Hashable k) => Monoid (HashMap k v) | |
| (NFData k, NFData v) => NFData (HashMap k v) | |
Defined in Data.HashMap.Internal | |
| (Hashable k, Hashable v) => Hashable (HashMap k v) | |
Defined in Data.HashMap.Internal | |
| Container (HashMap k v) | |
Defined in Universum.Container.Class Methods toList :: HashMap k v -> [Element (HashMap k v)] # foldr :: (Element (HashMap k v) -> b -> b) -> b -> HashMap k v -> b # foldl :: (b -> Element (HashMap k v) -> b) -> b -> HashMap k v -> b # foldl' :: (b -> Element (HashMap k v) -> b) -> b -> HashMap k v -> b # length :: HashMap k v -> Int # elem :: Element (HashMap k v) -> HashMap k v -> Bool # maximum :: HashMap k v -> Element (HashMap k v) # minimum :: HashMap k v -> Element (HashMap k v) # foldMap :: Monoid m => (Element (HashMap k v) -> m) -> HashMap k v -> m # fold :: HashMap k v -> Element (HashMap k v) # foldr' :: (Element (HashMap k v) -> b -> b) -> b -> HashMap k v -> b # foldr1 :: (Element (HashMap k v) -> Element (HashMap k v) -> Element (HashMap k v)) -> HashMap k v -> Element (HashMap k v) # foldl1 :: (Element (HashMap k v) -> Element (HashMap k v) -> Element (HashMap k v)) -> HashMap k v -> Element (HashMap k v) # notElem :: Element (HashMap k v) -> HashMap k v -> Bool # all :: (Element (HashMap k v) -> Bool) -> HashMap k v -> Bool # any :: (Element (HashMap k v) -> Bool) -> HashMap k v -> Bool # find :: (Element (HashMap k v) -> Bool) -> HashMap k v -> Maybe (Element (HashMap k v)) # | |
| Hashable k => One (HashMap k v) | |
| ToPairs (HashMap k v) | |
| type Item (HashMap k v) | |
Defined in Data.HashMap.Internal | |
| type Element (HashMap k v) | |
Defined in Universum.Container.Class | |
| type OneItem (HashMap k v) | |
Defined in Universum.Container.Class | |
| type Key (HashMap k v) | |
Defined in Universum.Container.Class | |
| type Val (HashMap k v) | |
Defined in Universum.Container.Class | |
Instances
| Foldable HashSet | |
Defined in Data.HashSet.Internal Methods fold :: Monoid m => HashSet m -> m # foldMap :: Monoid m => (a -> m) -> HashSet a -> m # foldr :: (a -> b -> b) -> b -> HashSet a -> b # foldr' :: (a -> b -> b) -> b -> HashSet a -> b # foldl :: (b -> a -> b) -> b -> HashSet a -> b # foldl' :: (b -> a -> b) -> b -> HashSet a -> b # foldr1 :: (a -> a -> a) -> HashSet a -> a # foldl1 :: (a -> a -> a) -> HashSet a -> a # elem :: Eq a => a -> HashSet a -> Bool # maximum :: Ord a => HashSet a -> a # minimum :: Ord a => HashSet a -> a # | |
| Eq1 HashSet | |
| Ord1 HashSet | |
Defined in Data.HashSet.Internal | |
| Show1 HashSet | |
| Hashable1 HashSet | |
Defined in Data.HashSet.Internal | |
| (Eq a, Hashable a) => IsList (HashSet a) | |
| Eq a => Eq (HashSet a) | |
| (Data a, Eq a, Hashable a) => Data (HashSet a) | |
Defined in Data.HashSet.Internal Methods gfoldl :: (forall d b. Data d => c (d -> b) -> d -> c b) -> (forall g. g -> c g) -> HashSet a -> c (HashSet a) # gunfold :: (forall b r. Data b => c (b -> r) -> c r) -> (forall r. r -> c r) -> Constr -> c (HashSet a) # toConstr :: HashSet a -> Constr # dataTypeOf :: HashSet a -> DataType # dataCast1 :: Typeable t => (forall d. Data d => c (t d)) -> Maybe (c (HashSet a)) # dataCast2 :: Typeable t => (forall d e. (Data d, Data e) => c (t d e)) -> Maybe (c (HashSet a)) # gmapT :: (forall b. Data b => b -> b) -> HashSet a -> HashSet a # gmapQl :: (r -> r' -> r) -> r -> (forall d. Data d => d -> r') -> HashSet a -> r # gmapQr :: (r' -> r -> r) -> r -> (forall d. Data d => d -> r') -> HashSet a -> r # gmapQ :: (forall d. Data d => d -> u) -> HashSet a -> [u] # gmapQi :: Int -> (forall d. Data d => d -> u) -> HashSet a -> u # gmapM :: Monad m => (forall d. Data d => d -> m d) -> HashSet a -> m (HashSet a) # gmapMp :: MonadPlus m => (forall d. Data d => d -> m d) -> HashSet a -> m (HashSet a) # gmapMo :: MonadPlus m => (forall d. Data d => d -> m d) -> HashSet a -> m (HashSet a) # | |
| Ord a => Ord (HashSet a) | |
| (Eq a, Hashable a, Read a) => Read (HashSet a) | |
| Show a => Show (HashSet a) | |
| (Hashable a, Eq a) => Semigroup (HashSet a) | |
| (Hashable a, Eq a) => Monoid (HashSet a) | |
| NFData a => NFData (HashSet a) | |
Defined in Data.HashSet.Internal | |
| Hashable a => Hashable (HashSet a) | |
Defined in Data.HashSet.Internal | |
| (Eq v, Hashable v) => Container (HashSet v) | |
Defined in Universum.Container.Class Methods toList :: HashSet v -> [Element (HashSet v)] # foldr :: (Element (HashSet v) -> b -> b) -> b -> HashSet v -> b # foldl :: (b -> Element (HashSet v) -> b) -> b -> HashSet v -> b # foldl' :: (b -> Element (HashSet v) -> b) -> b -> HashSet v -> b # elem :: Element (HashSet v) -> HashSet v -> Bool # maximum :: HashSet v -> Element (HashSet v) # minimum :: HashSet v -> Element (HashSet v) # foldMap :: Monoid m => (Element (HashSet v) -> m) -> HashSet v -> m # fold :: HashSet v -> Element (HashSet v) # foldr' :: (Element (HashSet v) -> b -> b) -> b -> HashSet v -> b # foldr1 :: (Element (HashSet v) -> Element (HashSet v) -> Element (HashSet v)) -> HashSet v -> Element (HashSet v) # foldl1 :: (Element (HashSet v) -> Element (HashSet v) -> Element (HashSet v)) -> HashSet v -> Element (HashSet v) # notElem :: Element (HashSet v) -> HashSet v -> Bool # all :: (Element (HashSet v) -> Bool) -> HashSet v -> Bool # any :: (Element (HashSet v) -> Bool) -> HashSet v -> Bool # find :: (Element (HashSet v) -> Bool) -> HashSet v -> Maybe (Element (HashSet v)) # | |
| Hashable v => One (HashSet v) | |
| type Item (HashSet a) | |
Defined in Data.HashSet.Internal | |
| type Element (HashSet v) | |
Defined in Universum.Container.Class | |
| type OneItem (HashSet v) | |
Defined in Universum.Container.Class | |
Instances
| Monad Vector | |
| Functor Vector | |
| MonadFail Vector | |
Defined in Data.Vector | |
| Applicative Vector | |
| Foldable Vector | |
Defined in Data.Vector Methods fold :: Monoid m => Vector m -> m # foldMap :: Monoid m => (a -> m) -> Vector a -> m # foldr :: (a -> b -> b) -> b -> Vector a -> b # foldr' :: (a -> b -> b) -> b -> Vector a -> b # foldl :: (b -> a -> b) -> b -> Vector a -> b # foldl' :: (b -> a -> b) -> b -> Vector a -> b # foldr1 :: (a -> a -> a) -> Vector a -> a # foldl1 :: (a -> a -> a) -> Vector a -> a # elem :: Eq a => a -> Vector a -> Bool # maximum :: Ord a => Vector a -> a # minimum :: Ord a => Vector a -> a # | |
| Traversable Vector | |
| Eq1 Vector | |
| Ord1 Vector | |
Defined in Data.Vector | |
| Read1 Vector | |
Defined in Data.Vector | |
| Show1 Vector | |
| MonadZip Vector | |
| Alternative Vector | |
| MonadPlus Vector | |
| NFData1 Vector | |
Defined in Data.Vector | |
| Vector Vector a | |
Defined in Data.Vector Methods basicUnsafeFreeze :: PrimMonad m => Mutable Vector (PrimState m) a -> m (Vector a) basicUnsafeThaw :: PrimMonad m => Vector a -> m (Mutable Vector (PrimState m) a) basicLength :: Vector a -> Int basicUnsafeSlice :: Int -> Int -> Vector a -> Vector a basicUnsafeIndexM :: Monad m => Vector a -> Int -> m a basicUnsafeCopy :: PrimMonad m => Mutable Vector (PrimState m) a -> Vector a -> m () | |
| IsList (Vector a) | |
| Eq a => Eq (Vector a) | |
| Data a => Data (Vector a) | |
Defined in Data.Vector Methods gfoldl :: (forall d b. Data d => c (d -> b) -> d -> c b) -> (forall g. g -> c g) -> Vector a -> c (Vector a) # gunfold :: (forall b r. Data b => c (b -> r) -> c r) -> (forall r. r -> c r) -> Constr -> c (Vector a) # toConstr :: Vector a -> Constr # dataTypeOf :: Vector a -> DataType # dataCast1 :: Typeable t => (forall d. Data d => c (t d)) -> Maybe (c (Vector a)) # dataCast2 :: Typeable t => (forall d e. (Data d, Data e) => c (t d e)) -> Maybe (c (Vector a)) # gmapT :: (forall b. Data b => b -> b) -> Vector a -> Vector a # gmapQl :: (r -> r' -> r) -> r -> (forall d. Data d => d -> r') -> Vector a -> r # gmapQr :: (r' -> r -> r) -> r -> (forall d. Data d => d -> r') -> Vector a -> r # gmapQ :: (forall d. Data d => d -> u) -> Vector a -> [u] # gmapQi :: Int -> (forall d. Data d => d -> u) -> Vector a -> u # gmapM :: Monad m => (forall d. Data d => d -> m d) -> Vector a -> m (Vector a) # gmapMp :: MonadPlus m => (forall d. Data d => d -> m d) -> Vector a -> m (Vector a) # gmapMo :: MonadPlus m => (forall d. Data d => d -> m d) -> Vector a -> m (Vector a) # | |
| Ord a => Ord (Vector a) | |
Defined in Data.Vector | |
| Read a => Read (Vector a) | |
| Show a => Show (Vector a) | |
| Semigroup (Vector a) | |
| Monoid (Vector a) | |
| NFData a => NFData (Vector a) | |
Defined in Data.Vector | |
| Container (Vector a) | |
Defined in Universum.Container.Class Methods toList :: Vector a -> [Element (Vector a)] # foldr :: (Element (Vector a) -> b -> b) -> b -> Vector a -> b # foldl :: (b -> Element (Vector a) -> b) -> b -> Vector a -> b # foldl' :: (b -> Element (Vector a) -> b) -> b -> Vector a -> b # elem :: Element (Vector a) -> Vector a -> Bool # maximum :: Vector a -> Element (Vector a) # minimum :: Vector a -> Element (Vector a) # foldMap :: Monoid m => (Element (Vector a) -> m) -> Vector a -> m # fold :: Vector a -> Element (Vector a) # foldr' :: (Element (Vector a) -> b -> b) -> b -> Vector a -> b # foldr1 :: (Element (Vector a) -> Element (Vector a) -> Element (Vector a)) -> Vector a -> Element (Vector a) # foldl1 :: (Element (Vector a) -> Element (Vector a) -> Element (Vector a)) -> Vector a -> Element (Vector a) # notElem :: Element (Vector a) -> Vector a -> Bool # all :: (Element (Vector a) -> Bool) -> Vector a -> Bool # any :: (Element (Vector a) -> Bool) -> Vector a -> Bool # find :: (Element (Vector a) -> Bool) -> Vector a -> Maybe (Element (Vector a)) # | |
| One (Vector a) | |
| type Mutable Vector | |
Defined in Data.Vector type Mutable Vector = MVector | |
| type Item (Vector a) | |
Defined in Data.Vector | |
| type Element (Vector a) | |
Defined in Universum.Container.Class | |
| type OneItem (Vector a) | |
Defined in Universum.Container.Class | |
hashlazy :: HashAlgorithm a => ByteString -> Digest a #
Constructors
| SHA256 |
Instances
| Data SHA256 | |
Defined in Crypto.Hash.SHA256 Methods gfoldl :: (forall d b. Data d => c (d -> b) -> d -> c b) -> (forall g. g -> c g) -> SHA256 -> c SHA256 # gunfold :: (forall b r. Data b => c (b -> r) -> c r) -> (forall r. r -> c r) -> Constr -> c SHA256 # toConstr :: SHA256 -> Constr # dataTypeOf :: SHA256 -> DataType # dataCast1 :: Typeable t => (forall d. Data d => c (t d)) -> Maybe (c SHA256) # dataCast2 :: Typeable t => (forall d e. (Data d, Data e) => c (t d e)) -> Maybe (c SHA256) # gmapT :: (forall b. Data b => b -> b) -> SHA256 -> SHA256 # gmapQl :: (r -> r' -> r) -> r -> (forall d. Data d => d -> r') -> SHA256 -> r # gmapQr :: (r' -> r -> r) -> r -> (forall d. Data d => d -> r') -> SHA256 -> r # gmapQ :: (forall d. Data d => d -> u) -> SHA256 -> [u] # gmapQi :: Int -> (forall d. Data d => d -> u) -> SHA256 -> u # gmapM :: Monad m => (forall d. Data d => d -> m d) -> SHA256 -> m SHA256 # gmapMp :: MonadPlus m => (forall d. Data d => d -> m d) -> SHA256 -> m SHA256 # gmapMo :: MonadPlus m => (forall d. Data d => d -> m d) -> SHA256 -> m SHA256 # | |
| Show SHA256 | |
| HashAlgorithm SHA256 | |
Defined in Crypto.Hash.SHA256 Methods hashBlockSize :: SHA256 -> Int hashDigestSize :: SHA256 -> Int hashInternalContextSize :: SHA256 -> Int hashInternalInit :: Ptr (Context SHA256) -> IO () hashInternalUpdate :: Ptr (Context SHA256) -> Ptr Word8 -> Word32 -> IO () hashInternalFinalize :: Ptr (Context SHA256) -> Ptr (Digest SHA256) -> IO () | |
| type HashBlockSize SHA256 | |
Defined in Crypto.Hash.SHA256 type HashBlockSize SHA256 = 64 | |
| type HashDigestSize SHA256 | |
Defined in Crypto.Hash.SHA256 type HashDigestSize SHA256 = 32 | |
| type HashInternalContextSize SHA256 | |
Defined in Crypto.Hash.SHA256 type HashInternalContextSize SHA256 = 192 | |
Instances
| Eq (Digest a) | |
| Data a => Data (Digest a) | |
Defined in Crypto.Hash.Types Methods gfoldl :: (forall d b. Data d => c (d -> b) -> d -> c b) -> (forall g. g -> c g) -> Digest a -> c (Digest a) # gunfold :: (forall b r. Data b => c (b -> r) -> c r) -> (forall r. r -> c r) -> Constr -> c (Digest a) # toConstr :: Digest a -> Constr # dataTypeOf :: Digest a -> DataType # dataCast1 :: Typeable t => (forall d. Data d => c (t d)) -> Maybe (c (Digest a)) # dataCast2 :: Typeable t => (forall d e. (Data d, Data e) => c (t d e)) -> Maybe (c (Digest a)) # gmapT :: (forall b. Data b => b -> b) -> Digest a -> Digest a # gmapQl :: (r -> r' -> r) -> r -> (forall d. Data d => d -> r') -> Digest a -> r # gmapQr :: (r' -> r -> r) -> r -> (forall d. Data d => d -> r') -> Digest a -> r # gmapQ :: (forall d. Data d => d -> u) -> Digest a -> [u] # gmapQi :: Int -> (forall d. Data d => d -> u) -> Digest a -> u # gmapM :: Monad m => (forall d. Data d => d -> m d) -> Digest a -> m (Digest a) # gmapMp :: MonadPlus m => (forall d. Data d => d -> m d) -> Digest a -> m (Digest a) # gmapMo :: MonadPlus m => (forall d. Data d => d -> m d) -> Digest a -> m (Digest a) # | |
| Ord (Digest a) | |
Defined in Crypto.Hash.Types | |
| HashAlgorithm a => Read (Digest a) | |
| Show (Digest a) | |
| NFData (Digest a) | |
Defined in Crypto.Hash.Types | |
| ByteArrayAccess (Digest a) | |
Defined in Crypto.Hash.Types | |
getRandomBytes :: (MonadRandom m, ByteArray byteArray) => Int -> m byteArray #