goal-core-0.20: Common, non-geometric tools for use with Goal
Safe HaskellNone
LanguageHaskell2010

Goal.Core

Description

This module re-exports a number of (compatible) modules from across base and other libraries, as well as most of the modules in goal-core. It does not re-export the Vector modules, which should be imported with qualification.

Synopsis

Module Exports

($) :: forall (r :: RuntimeRep) a (b :: TYPE r). (a -> b) -> a -> b infixr 0 #

Application operator. This operator is redundant, since ordinary application (f x) means the same as (f $ x). However, $ 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) xs, or zipWith ($) fs xs.

Note that ($) is levity-polymorphic in its result type, so that foo $ True where foo :: Bool -> Int# is well-typed.

on :: (b -> b -> c) -> (a -> b) -> a -> a -> c infixl 0 #

on b u x y runs the binary function b on the results of applying unary function u to two arguments x and y. From the opposite perspective, it transforms two inputs and combines the outputs.

((+) `on` f) x y = f x + f y

Typical usage: sortBy (compare `on` fst).

Algebraic properties:

  • (*) `on` id = (*) -- (if (*) ∉ {⊥, const ⊥})
  • ((*) `on` f) `on` g = (*) `on` (f . g)
  • flip on f . flip on g = flip on (g . f)

fix :: (a -> a) -> a #

fix f is the least fixed point of the function f, 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 5
120

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)) 5
120

Instead of making a recursive call, we introduce a dummy parameter rec; when used within fix, this parameter then refers to fix’s argument, hence the recursion is reintroduced.

flip :: (a -> b -> c) -> b -> a -> c #

flip f takes its (first) two arguments in the reverse order of f.

>>> flip (++) "hello" "world"
"worldhello"

(.) :: (b -> c) -> (a -> b) -> a -> c infixr 9 #

Function composition.

const :: a -> b -> a #

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]

id :: a -> a #

Identity function.

id x = x

module Data.Ord

module Data.Maybe

(.!) :: FromField a => Record -> Int -> Parser a #

(.:) :: FromField a => NamedRecord -> ByteString -> Parser a #

genericParseRecord :: (Generic a, GFromRecord (Rep a)) => Options -> Record -> Parser a #

genericToRecord :: (Generic a, GToRecord (Rep a) Field) => Options -> a -> Record #

index :: FromField a => Record -> Int -> Parser a #

lookup :: FromField a => NamedRecord -> ByteString -> Parser a #

runParser :: Parser a -> Either String a #

unsafeIndex :: FromField a => Record -> Int -> Parser a #

decodeWithP :: (Record -> Parser a) -> DecodeOptions -> HasHeader -> ByteString -> Either String (Vector a) #

encode :: ToRecord a => [a] -> ByteString #

newtype Only a #

Constructors

Only 

Fields

Instances

Instances details
Functor Only 
Instance details

Defined in Data.Tuple.Only

Methods

fmap :: (a -> b) -> Only a -> Only b #

(<$) :: a -> Only b -> Only a #

Eq a => Eq (Only a) 
Instance details

Defined in Data.Tuple.Only

Methods

(==) :: Only a -> Only a -> Bool #

(/=) :: Only a -> Only a -> Bool #

Data a => Data (Only a) 
Instance details

Defined in Data.Tuple.Only

Methods

gfoldl :: (forall d b. Data d => c (d -> b) -> d -> c b) -> (forall g. g -> c g) -> Only a -> c (Only a) #

gunfold :: (forall b r. Data b => c (b -> r) -> c r) -> (forall r. r -> c r) -> Constr -> c (Only a) #

toConstr :: Only a -> Constr #

dataTypeOf :: Only a -> DataType #

dataCast1 :: Typeable t => (forall d. Data d => c (t d)) -> Maybe (c (Only a)) #

dataCast2 :: Typeable t => (forall d e. (Data d, Data e) => c (t d e)) -> Maybe (c (Only a)) #

gmapT :: (forall b. Data b => b -> b) -> Only a -> Only a #

gmapQl :: (r -> r' -> r) -> r -> (forall d. Data d => d -> r') -> Only a -> r #

gmapQr :: forall r r'. (r' -> r -> r) -> r -> (forall d. Data d => d -> r') -> Only a -> r #

gmapQ :: (forall d. Data d => d -> u) -> Only a -> [u] #

gmapQi :: Int -> (forall d. Data d => d -> u) -> Only a -> u #

gmapM :: Monad m => (forall d. Data d => d -> m d) -> Only a -> m (Only a) #

gmapMp :: MonadPlus m => (forall d. Data d => d -> m d) -> Only a -> m (Only a) #

gmapMo :: MonadPlus m => (forall d. Data d => d -> m d) -> Only a -> m (Only a) #

Ord a => Ord (Only a) 
Instance details

Defined in Data.Tuple.Only

Methods

compare :: Only a -> Only a -> Ordering #

(<) :: Only a -> Only a -> Bool #

(<=) :: Only a -> Only a -> Bool #

(>) :: Only a -> Only a -> Bool #

(>=) :: Only a -> Only a -> Bool #

max :: Only a -> Only a -> Only a #

min :: Only a -> Only a -> Only a #

Read a => Read (Only a) 
Instance details

Defined in Data.Tuple.Only

Show a => Show (Only a) 
Instance details

Defined in Data.Tuple.Only

Methods

showsPrec :: Int -> Only a -> ShowS #

show :: Only a -> String #

showList :: [Only a] -> ShowS #

Generic (Only a) 
Instance details

Defined in Data.Tuple.Only

Associated Types

type Rep (Only a) :: Type -> Type #

Methods

from :: Only a -> Rep (Only a) x #

to :: Rep (Only a) x -> Only a #

NFData a => NFData (Only a) 
Instance details

Defined in Data.Tuple.Only

Methods

rnf :: Only a -> () #

FromField a => FromRecord (Only a) 
Instance details

Defined in Data.Csv.Conversion

Methods

parseRecord :: Record -> Parser (Only a) #

ToField a => ToRecord (Only a) 
Instance details

Defined in Data.Csv.Conversion

Methods

toRecord :: Only a -> Record #

type Rep (Only a) 
Instance details

Defined in Data.Tuple.Only

type Rep (Only a) = D1 ('MetaData "Only" "Data.Tuple.Only" "Only-0.1-ab2d15d5e7f147a8aa0e0a50859350deb69248675c6e6af36eb02021188458d3" 'True) (C1 ('MetaCons "Only" 'PrefixI 'True) (S1 ('MetaSel ('Just "fromOnly") 'NoSourceUnpackedness 'NoSourceStrictness 'DecidedLazy) (Rec0 a)))

class DefaultOrdered a where #

Minimal complete definition

Nothing

Methods

headerOrder :: a -> Header #

class FromField a where #

Methods

parseField :: Field -> Parser a #

Instances

Instances details
FromField Char 
Instance details

Defined in Data.Csv.Conversion

Methods

parseField :: Field -> Parser Char #

FromField Double 
Instance details

Defined in Data.Csv.Conversion

Methods

parseField :: Field -> Parser Double #

FromField Float 
Instance details

Defined in Data.Csv.Conversion

Methods

parseField :: Field -> Parser Float #

FromField Int 
Instance details

Defined in Data.Csv.Conversion

Methods

parseField :: Field -> Parser Int #

FromField Int8 
Instance details

Defined in Data.Csv.Conversion

Methods

parseField :: Field -> Parser Int8 #

FromField Int16 
Instance details

Defined in Data.Csv.Conversion

Methods

parseField :: Field -> Parser Int16 #

FromField Int32 
Instance details

Defined in Data.Csv.Conversion

Methods

parseField :: Field -> Parser Int32 #

FromField Int64 
Instance details

Defined in Data.Csv.Conversion

Methods

parseField :: Field -> Parser Int64 #

FromField Integer 
Instance details

Defined in Data.Csv.Conversion

Methods

parseField :: Field -> Parser Integer #

FromField Natural 
Instance details

Defined in Data.Csv.Conversion

Methods

parseField :: Field -> Parser Natural #

FromField Word 
Instance details

Defined in Data.Csv.Conversion

Methods

parseField :: Field -> Parser Word #

FromField Word8 
Instance details

Defined in Data.Csv.Conversion

Methods

parseField :: Field -> Parser Word8 #

FromField Word16 
Instance details

Defined in Data.Csv.Conversion

Methods

parseField :: Field -> Parser Word16 #

FromField Word32 
Instance details

Defined in Data.Csv.Conversion

Methods

parseField :: Field -> Parser Word32 #

FromField Word64 
Instance details

Defined in Data.Csv.Conversion

Methods

parseField :: Field -> Parser Word64 #

FromField () 
Instance details

Defined in Data.Csv.Conversion

Methods

parseField :: Field -> Parser () #

FromField ShortByteString 
Instance details

Defined in Data.Csv.Conversion

Methods

parseField :: Field -> Parser ShortByteString #

FromField ByteString 
Instance details

Defined in Data.Csv.Conversion

Methods

parseField :: Field -> Parser ByteString #

FromField ByteString 
Instance details

Defined in Data.Csv.Conversion

Methods

parseField :: Field -> Parser ByteString #

FromField Text 
Instance details

Defined in Data.Csv.Conversion

Methods

parseField :: Field -> Parser Text #

FromField Text 
Instance details

Defined in Data.Csv.Conversion

Methods

parseField :: Field -> Parser Text #

FromField Scientific 
Instance details

Defined in Data.Csv.Conversion

Methods

parseField :: Field -> Parser Scientific #

FromField ShortText 
Instance details

Defined in Data.Csv.Conversion

Methods

parseField :: Field -> Parser ShortText #

FromField [Char] 
Instance details

Defined in Data.Csv.Conversion

Methods

parseField :: Field -> Parser [Char] #

FromField a => FromField (Maybe a) 
Instance details

Defined in Data.Csv.Conversion

Methods

parseField :: Field -> Parser (Maybe a) #

FromField a => FromField (Identity a) 
Instance details

Defined in Data.Csv.Conversion

Methods

parseField :: Field -> Parser (Identity a) #

FromField a => FromField (Either Field a) 
Instance details

Defined in Data.Csv.Conversion

Methods

parseField :: Field -> Parser (Either Field a) #

FromField a => FromField (Const a b) 
Instance details

Defined in Data.Csv.Conversion

Methods

parseField :: Field -> Parser (Const a b) #

class FromNamedRecord a where #

Minimal complete definition

Nothing

Methods

parseNamedRecord :: NamedRecord -> Parser a #

Instances

Instances details
(FromField a, FromField b, Ord a) => FromNamedRecord (Map a b) 
Instance details

Defined in Data.Csv.Conversion

Methods

parseNamedRecord :: NamedRecord -> Parser (Map a b) #

(Eq a, FromField a, FromField b, Hashable a) => FromNamedRecord (HashMap a b) 
Instance details

Defined in Data.Csv.Conversion

Methods

parseNamedRecord :: NamedRecord -> Parser (HashMap a b) #

class FromRecord a where #

Minimal complete definition

Nothing

Methods

parseRecord :: Record -> Parser a #

Instances

Instances details
FromField a => FromRecord [a] 
Instance details

Defined in Data.Csv.Conversion

Methods

parseRecord :: Record -> Parser [a] #

FromField a => FromRecord (Only a) 
Instance details

Defined in Data.Csv.Conversion

Methods

parseRecord :: Record -> Parser (Only a) #

FromField a => FromRecord (Vector a) 
Instance details

Defined in Data.Csv.Conversion

Methods

parseRecord :: Record -> Parser (Vector a) #

(FromField a, Unbox a) => FromRecord (Vector a) 
Instance details

Defined in Data.Csv.Conversion

Methods

parseRecord :: Record -> Parser (Vector a) #

(FromField a, FromField b) => FromRecord (a, b) 
Instance details

Defined in Data.Csv.Conversion

Methods

parseRecord :: Record -> Parser (a, b) #

(FromField a, FromField b, FromField c) => FromRecord (a, b, c) 
Instance details

Defined in Data.Csv.Conversion

Methods

parseRecord :: Record -> Parser (a, b, c) #

(FromField a, FromField b, FromField c, FromField d) => FromRecord (a, b, c, d) 
Instance details

Defined in Data.Csv.Conversion

Methods

parseRecord :: Record -> Parser (a, b, c, d) #

(FromField a, FromField b, FromField c, FromField d, FromField e) => FromRecord (a, b, c, d, e) 
Instance details

Defined in Data.Csv.Conversion

Methods

parseRecord :: Record -> Parser (a, b, c, d, e) #

(FromField a, FromField b, FromField c, FromField d, FromField e, FromField f) => FromRecord (a, b, c, d, e, f) 
Instance details

Defined in Data.Csv.Conversion

Methods

parseRecord :: Record -> Parser (a, b, c, d, e, f) #

(FromField a, FromField b, FromField c, FromField d, FromField e, FromField f, FromField g) => FromRecord (a, b, c, d, e, f, g) 
Instance details

Defined in Data.Csv.Conversion

Methods

parseRecord :: Record -> Parser (a, b, c, d, e, f, g) #

(FromField a, FromField b, FromField c, FromField d, FromField e, FromField f, FromField g, FromField h) => FromRecord (a, b, c, d, e, f, g, h) 
Instance details

Defined in Data.Csv.Conversion

Methods

parseRecord :: Record -> Parser (a, b, c, d, e, f, g, h) #

(FromField a, FromField b, FromField c, FromField d, FromField e, FromField f, FromField g, FromField h, FromField i) => FromRecord (a, b, c, d, e, f, g, h, i) 
Instance details

Defined in Data.Csv.Conversion

Methods

parseRecord :: Record -> Parser (a, b, c, d, e, f, g, h, i) #

(FromField a, FromField b, FromField c, FromField d, FromField e, FromField f, FromField g, FromField h, FromField i, FromField j) => FromRecord (a, b, c, d, e, f, g, h, i, j) 
Instance details

Defined in Data.Csv.Conversion

Methods

parseRecord :: Record -> Parser (a, b, c, d, e, f, g, h, i, j) #

(FromField a, FromField b, FromField c, FromField d, FromField e, FromField f, FromField g, FromField h, FromField i, FromField j, FromField k) => FromRecord (a, b, c, d, e, f, g, h, i, j, k) 
Instance details

Defined in Data.Csv.Conversion

Methods

parseRecord :: Record -> Parser (a, b, c, d, e, f, g, h, i, j, k) #

(FromField a, FromField b, FromField c, FromField d, FromField e, FromField f, FromField g, FromField h, FromField i, FromField j, FromField k, FromField l) => FromRecord (a, b, c, d, e, f, g, h, i, j, k, l) 
Instance details

Defined in Data.Csv.Conversion

Methods

parseRecord :: Record -> Parser (a, b, c, d, e, f, g, h, i, j, k, l) #

(FromField a, FromField b, FromField c, FromField d, FromField e, FromField f, FromField g, FromField h, FromField i, FromField j, FromField k, FromField l, FromField m) => FromRecord (a, b, c, d, e, f, g, h, i, j, k, l, m) 
Instance details

Defined in Data.Csv.Conversion

Methods

parseRecord :: Record -> Parser (a, b, c, d, e, f, g, h, i, j, k, l, m) #

(FromField a, FromField b, FromField c, FromField d, FromField e, FromField f, FromField g, FromField h, FromField i, FromField j, FromField k, FromField l, FromField m, FromField n) => FromRecord (a, b, c, d, e, f, g, h, i, j, k, l, m, n) 
Instance details

Defined in Data.Csv.Conversion

Methods

parseRecord :: Record -> Parser (a, b, c, d, e, f, g, h, i, j, k, l, m, n) #

(FromField a, FromField b, FromField c, FromField d, FromField e, FromField f, FromField g, FromField h, FromField i, FromField j, FromField k, FromField l, FromField m, FromField n, FromField o) => FromRecord (a, b, c, d, e, f, g, h, i, j, k, l, m, n, o) 
Instance details

Defined in Data.Csv.Conversion

Methods

parseRecord :: Record -> Parser (a, b, c, d, e, f, g, h, i, j, k, l, m, n, o) #

class GFromNamedRecord (f :: k -> Type) #

Minimal complete definition

gparseNamedRecord

Instances

Instances details
GFromRecordSum f NamedRecord => GFromNamedRecord (M1 i n f :: k -> Type) 
Instance details

Defined in Data.Csv.Conversion

Methods

gparseNamedRecord :: forall (p :: k0). Options -> NamedRecord -> Parser (M1 i n f p)

class GFromRecord (f :: k -> Type) #

Minimal complete definition

gparseRecord

Instances

Instances details
GFromRecordSum f Record => GFromRecord (M1 i n f :: k -> Type) 
Instance details

Defined in Data.Csv.Conversion

Methods

gparseRecord :: forall (p :: k0). Options -> Record -> Parser (M1 i n f p)

class GToNamedRecordHeader (a :: k -> Type) #

Minimal complete definition

gtoNamedRecordHeader

Instances

Instances details
GToNamedRecordHeader (U1 :: k -> Type) 
Instance details

Defined in Data.Csv.Conversion

Methods

gtoNamedRecordHeader :: forall (p :: k0). Options -> U1 p -> [Name]

(GToNamedRecordHeader a, GToNamedRecordHeader b) => GToNamedRecordHeader (a :*: b :: k -> Type) 
Instance details

Defined in Data.Csv.Conversion

Methods

gtoNamedRecordHeader :: forall (p :: k0). Options -> (a :*: b) p -> [Name]

GToNamedRecordHeader a => GToNamedRecordHeader (M1 D c a :: k -> Type) 
Instance details

Defined in Data.Csv.Conversion

Methods

gtoNamedRecordHeader :: forall (p :: k0). Options -> M1 D c a p -> [Name]

GToNamedRecordHeader a => GToNamedRecordHeader (M1 C c a :: k -> Type) 
Instance details

Defined in Data.Csv.Conversion

Methods

gtoNamedRecordHeader :: forall (p :: k0). Options -> M1 C c a p -> [Name]

Selector s => GToNamedRecordHeader (M1 S s a :: k -> Type) 
Instance details

Defined in Data.Csv.Conversion

Methods

gtoNamedRecordHeader :: forall (p :: k0). Options -> M1 S s a p -> [Name]

DefaultOrdered (M1 S ('MetaSel ('Nothing :: Maybe Symbol) srcpk srcstr decstr) a ()) => GToNamedRecordHeader (M1 S ('MetaSel ('Nothing :: Maybe Symbol) srcpk srcstr decstr) a :: Type -> Type) 
Instance details

Defined in Data.Csv.Conversion

Methods

gtoNamedRecordHeader :: forall (p :: k). Options -> M1 S ('MetaSel 'Nothing srcpk srcstr decstr) a p -> [Name]

class GToRecord (a :: k -> Type) f #

Minimal complete definition

gtoRecord

Instances

Instances details
GToRecord (U1 :: k -> Type) f 
Instance details

Defined in Data.Csv.Conversion

Methods

gtoRecord :: forall (p :: k0). Options -> U1 p -> [f]

ToField a => GToRecord (K1 i a :: k -> Type) Field 
Instance details

Defined in Data.Csv.Conversion

Methods

gtoRecord :: forall (p :: k0). Options -> K1 i a p -> [Field]

(GToRecord a f, GToRecord b f) => GToRecord (a :+: b :: k -> Type) f 
Instance details

Defined in Data.Csv.Conversion

Methods

gtoRecord :: forall (p :: k0). Options -> (a :+: b) p -> [f]

(GToRecord a f, GToRecord b f) => GToRecord (a :*: b :: k -> Type) f 
Instance details

Defined in Data.Csv.Conversion

Methods

gtoRecord :: forall (p :: k0). Options -> (a :*: b) p -> [f]

GToRecord a f => GToRecord (M1 D c a :: k -> Type) f 
Instance details

Defined in Data.Csv.Conversion

Methods

gtoRecord :: forall (p :: k0). Options -> M1 D c a p -> [f]

GToRecord a f => GToRecord (M1 C c a :: k -> Type) f 
Instance details

Defined in Data.Csv.Conversion

Methods

gtoRecord :: forall (p :: k0). Options -> M1 C c a p -> [f]

GToRecord a Field => GToRecord (M1 S c a :: k -> Type) Field 
Instance details

Defined in Data.Csv.Conversion

Methods

gtoRecord :: forall (p :: k0). Options -> M1 S c a p -> [Field]

(ToField a, Selector s) => GToRecord (M1 S s (K1 i a :: k -> Type) :: k -> Type) (ByteString, ByteString) 
Instance details

Defined in Data.Csv.Conversion

Methods

gtoRecord :: forall (p :: k0). Options -> M1 S s (K1 i a) p -> [(ByteString, ByteString)]

data Options #

Instances

Instances details
Show Options 
Instance details

Defined in Data.Csv.Conversion

class ToField a where #

Methods

toField :: a -> Field #

Instances

Instances details
ToField Char 
Instance details

Defined in Data.Csv.Conversion

Methods

toField :: Char -> Field #

ToField Double 
Instance details

Defined in Data.Csv.Conversion

Methods

toField :: Double -> Field #

ToField Float 
Instance details

Defined in Data.Csv.Conversion

Methods

toField :: Float -> Field #

ToField Int 
Instance details

Defined in Data.Csv.Conversion

Methods

toField :: Int -> Field #

ToField Int8 
Instance details

Defined in Data.Csv.Conversion

Methods

toField :: Int8 -> Field #

ToField Int16 
Instance details

Defined in Data.Csv.Conversion

Methods

toField :: Int16 -> Field #

ToField Int32 
Instance details

Defined in Data.Csv.Conversion

Methods

toField :: Int32 -> Field #

ToField Int64 
Instance details

Defined in Data.Csv.Conversion

Methods

toField :: Int64 -> Field #

ToField Integer 
Instance details

Defined in Data.Csv.Conversion

Methods

toField :: Integer -> Field #

ToField Natural 
Instance details

Defined in Data.Csv.Conversion

Methods

toField :: Natural -> Field #

ToField Word 
Instance details

Defined in Data.Csv.Conversion

Methods

toField :: Word -> Field #

ToField Word8 
Instance details

Defined in Data.Csv.Conversion

Methods

toField :: Word8 -> Field #

ToField Word16 
Instance details

Defined in Data.Csv.Conversion

Methods

toField :: Word16 -> Field #

ToField Word32 
Instance details

Defined in Data.Csv.Conversion

Methods

toField :: Word32 -> Field #

ToField Word64 
Instance details

Defined in Data.Csv.Conversion

Methods

toField :: Word64 -> Field #

ToField ShortByteString 
Instance details

Defined in Data.Csv.Conversion

Methods

toField :: ShortByteString -> Field #

ToField ByteString 
Instance details

Defined in Data.Csv.Conversion

Methods

toField :: ByteString -> Field #

ToField ByteString 
Instance details

Defined in Data.Csv.Conversion

Methods

toField :: ByteString -> Field #

ToField Text 
Instance details

Defined in Data.Csv.Conversion

Methods

toField :: Text -> Field #

ToField Text 
Instance details

Defined in Data.Csv.Conversion

Methods

toField :: Text -> Field #

ToField Scientific 
Instance details

Defined in Data.Csv.Conversion

Methods

toField :: Scientific -> Field #

ToField ShortText 
Instance details

Defined in Data.Csv.Conversion

Methods

toField :: ShortText -> Field #

ToField [Char] 
Instance details

Defined in Data.Csv.Conversion

Methods

toField :: [Char] -> Field #

ToField a => ToField (Maybe a) 
Instance details

Defined in Data.Csv.Conversion

Methods

toField :: Maybe a -> Field #

ToField a => ToField (Identity a) 
Instance details

Defined in Data.Csv.Conversion

Methods

toField :: Identity a -> Field #

ToField a => ToField (Const a b) 
Instance details

Defined in Data.Csv.Conversion

Methods

toField :: Const a b -> Field #

class ToNamedRecord a where #

Minimal complete definition

Nothing

Methods

toNamedRecord :: a -> NamedRecord #

Instances

Instances details
(ToField a, ToField b, Ord a) => ToNamedRecord (Map a b) 
Instance details

Defined in Data.Csv.Conversion

Methods

toNamedRecord :: Map a b -> NamedRecord #

(Eq a, ToField a, ToField b, Hashable a) => ToNamedRecord (HashMap a b) 
Instance details

Defined in Data.Csv.Conversion

Methods

toNamedRecord :: HashMap a b -> NamedRecord #

class ToRecord a where #

Minimal complete definition

Nothing

Methods

toRecord :: a -> Record #

Instances

Instances details
ToField a => ToRecord [a] 
Instance details

Defined in Data.Csv.Conversion

Methods

toRecord :: [a] -> Record #

ToField a => ToRecord (Only a) 
Instance details

Defined in Data.Csv.Conversion

Methods

toRecord :: Only a -> Record #

ToField a => ToRecord (Vector a) 
Instance details

Defined in Data.Csv.Conversion

Methods

toRecord :: Vector a -> Record #

(ToField a, Unbox a) => ToRecord (Vector a) 
Instance details

Defined in Data.Csv.Conversion

Methods

toRecord :: Vector a -> Record #

(ToField a, ToField b) => ToRecord (a, b) 
Instance details

Defined in Data.Csv.Conversion

Methods

toRecord :: (a, b) -> Record #

(ToField a, ToField b, ToField c) => ToRecord (a, b, c) 
Instance details

Defined in Data.Csv.Conversion

Methods

toRecord :: (a, b, c) -> Record #

(ToField a, ToField b, ToField c, ToField d) => ToRecord (a, b, c, d) 
Instance details

Defined in Data.Csv.Conversion

Methods

toRecord :: (a, b, c, d) -> Record #

(ToField a, ToField b, ToField c, ToField d, ToField e) => ToRecord (a, b, c, d, e) 
Instance details

Defined in Data.Csv.Conversion

Methods

toRecord :: (a, b, c, d, e) -> Record #

(ToField a, ToField b, ToField c, ToField d, ToField e, ToField f) => ToRecord (a, b, c, d, e, f) 
Instance details

Defined in Data.Csv.Conversion

Methods

toRecord :: (a, b, c, d, e, f) -> Record #

(ToField a, ToField b, ToField c, ToField d, ToField e, ToField f, ToField g) => ToRecord (a, b, c, d, e, f, g) 
Instance details

Defined in Data.Csv.Conversion

Methods

toRecord :: (a, b, c, d, e, f, g) -> Record #

(ToField a, ToField b, ToField c, ToField d, ToField e, ToField f, ToField g, ToField h) => ToRecord (a, b, c, d, e, f, g, h) 
Instance details

Defined in Data.Csv.Conversion

Methods

toRecord :: (a, b, c, d, e, f, g, h) -> Record #

(ToField a, ToField b, ToField c, ToField d, ToField e, ToField f, ToField g, ToField h, ToField i) => ToRecord (a, b, c, d, e, f, g, h, i) 
Instance details

Defined in Data.Csv.Conversion

Methods

toRecord :: (a, b, c, d, e, f, g, h, i) -> Record #

(ToField a, ToField b, ToField c, ToField d, ToField e, ToField f, ToField g, ToField h, ToField i, ToField j) => ToRecord (a, b, c, d, e, f, g, h, i, j) 
Instance details

Defined in Data.Csv.Conversion

Methods

toRecord :: (a, b, c, d, e, f, g, h, i, j) -> Record #

(ToField a, ToField b, ToField c, ToField d, ToField e, ToField f, ToField g, ToField h, ToField i, ToField j, ToField k) => ToRecord (a, b, c, d, e, f, g, h, i, j, k) 
Instance details

Defined in Data.Csv.Conversion

Methods

toRecord :: (a, b, c, d, e, f, g, h, i, j, k) -> Record #

(ToField a, ToField b, ToField c, ToField d, ToField e, ToField f, ToField g, ToField h, ToField i, ToField j, ToField k, ToField l) => ToRecord (a, b, c, d, e, f, g, h, i, j, k, l) 
Instance details

Defined in Data.Csv.Conversion

Methods

toRecord :: (a, b, c, d, e, f, g, h, i, j, k, l) -> Record #

(ToField a, ToField b, ToField c, ToField d, ToField e, ToField f, ToField g, ToField h, ToField i, ToField j, ToField k, ToField l, ToField m) => ToRecord (a, b, c, d, e, f, g, h, i, j, k, l, m) 
Instance details

Defined in Data.Csv.Conversion

Methods

toRecord :: (a, b, c, d, e, f, g, h, i, j, k, l, m) -> Record #

(ToField a, ToField b, ToField c, ToField d, ToField e, ToField f, ToField g, ToField h, ToField i, ToField j, ToField k, ToField l, ToField m, ToField n) => ToRecord (a, b, c, d, e, f, g, h, i, j, k, l, m, n) 
Instance details

Defined in Data.Csv.Conversion

Methods

toRecord :: (a, b, c, d, e, f, g, h, i, j, k, l, m, n) -> Record #

(ToField a, ToField b, ToField c, ToField d, ToField e, ToField f, ToField g, ToField h, ToField i, ToField j, ToField k, ToField l, ToField m, ToField n, ToField o) => ToRecord (a, b, c, d, e, f, g, h, i, j, k, l, m, n, o) 
Instance details

Defined in Data.Csv.Conversion

Methods

toRecord :: (a, b, c, d, e, f, g, h, i, j, k, l, m, n, o) -> Record #

data EncodeOptions #

Instances

Instances details
Eq EncodeOptions 
Instance details

Defined in Data.Csv.Encoding

Show EncodeOptions 
Instance details

Defined in Data.Csv.Encoding

data Quoting #

Instances

Instances details
Eq Quoting 
Instance details

Defined in Data.Csv.Encoding

Methods

(==) :: Quoting -> Quoting -> Bool #

(/=) :: Quoting -> Quoting -> Bool #

Show Quoting 
Instance details

Defined in Data.Csv.Encoding

data DecodeOptions #

Constructors

DecodeOptions 

Fields

Instances

Instances details
Eq DecodeOptions 
Instance details

Defined in Data.Csv.Parser

Show DecodeOptions 
Instance details

Defined in Data.Csv.Parser

type Csv = Vector Record #

data HasHeader #

Constructors

HasHeader 
NoHeader 

type Header = Vector Name #

type Record = Vector Field #

module Data.Proxy

type Type = Type #

The kind of types with lifted values. For example Int :: Type.

(<$) :: Functor f => a -> f b -> f a infixl 4 #

Replace all locations in the input with the same value. The default definition is fmap . const, but this may be overridden with a more efficient version.

Using ApplicativeDo: 'a <$ bs' can be understood as the do expression

do bs
   pure a

with an inferred Functor constraint.

class Functor f => Applicative (f :: Type -> Type) where #

A functor with application, providing operations to

  • embed pure expressions (pure), and
  • sequence computations and combine their results (<*> and liftA2).

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:

(<*>) = liftA2 id
liftA2 f x y = f <$> x <*> y

Further, any definition must satisfy the following:

Identity
pure id <*> v = v
Composition
pure (.) <*> u <*> v <*> w = u <*> (v <*> w)
Homomorphism
pure f <*> pure x = pure (f x)
Interchange
u <*> pure y = 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

liftA2 p (liftA2 q u v) = liftA2 f u . liftA2 g v

If f is also a Monad, it should satisfy

(which implies that pure and <*> satisfy the applicative functor laws).

Minimal complete definition

pure, ((<*>) | liftA2)

Methods

pure :: a -> f a #

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.

Using ApplicativeDo: 'fs <*> as' can be understood as the do expression

do f <- fs
   a <- as
   pure (f a)

liftA2 :: (a -> b -> c) -> f a -> f b -> f c #

Lift a binary function to actions.

Some functors support an implementation of liftA2 that is more efficient than the default one. In particular, if fmap is an expensive operation, it is likely better to use liftA2 than to fmap over the structure and then use <*>.

This became a typeclass method in 4.10.0.0. Prior to that, it was a function defined in terms of <*> and fmap.

Using ApplicativeDo: 'liftA2 f as bs' can be understood as the do expression

do a <- as
   b <- bs
   pure (f a b)

(*>) :: f a -> f b -> f b infixl 4 #

Sequence actions, discarding the value of the first argument.

'as *> bs' can be understood as the do expression

do as
   bs

This is a tad complicated for our ApplicativeDo extension which will give it a Monad constraint. For an Applicative constraint we write it of the form

do _ <- as
   b <- bs
   pure b

(<*) :: f a -> f b -> f a infixl 4 #

Sequence actions, discarding the value of the second argument.

Using ApplicativeDo: 'as <* bs' can be understood as the do expression

do a <- as
   bs
   pure a

Instances

Instances details
Applicative []

Since: base-2.1

Instance details

Defined in GHC.Base

Methods

pure :: a -> [a] #

(<*>) :: [a -> b] -> [a] -> [b] #

liftA2 :: (a -> b -> c) -> [a] -> [b] -> [c] #

(*>) :: [a] -> [b] -> [b] #

(<*) :: [a] -> [b] -> [a] #

Applicative Maybe

Since: base-2.1

Instance details

Defined in GHC.Base

Methods

pure :: a -> Maybe a #

(<*>) :: Maybe (a -> b) -> Maybe a -> Maybe b #

liftA2 :: (a -> b -> c) -> Maybe a -> Maybe b -> Maybe c #

(*>) :: Maybe a -> Maybe b -> Maybe b #

(<*) :: Maybe a -> Maybe b -> Maybe a #

Applicative IO

Since: base-2.1

Instance details

Defined in GHC.Base

Methods

pure :: a -> IO a #

(<*>) :: IO (a -> b) -> IO a -> IO b #

liftA2 :: (a -> b -> c) -> IO a -> IO b -> IO c #

(*>) :: IO a -> IO b -> IO b #

(<*) :: IO a -> IO b -> IO a #

Applicative Par1

Since: base-4.9.0.0

Instance details

Defined in GHC.Generics

Methods

pure :: a -> Par1 a #

(<*>) :: Par1 (a -> b) -> Par1 a -> Par1 b #

liftA2 :: (a -> b -> c) -> Par1 a -> Par1 b -> Par1 c #

(*>) :: Par1 a -> Par1 b -> Par1 b #

(<*) :: Par1 a -> Par1 b -> Par1 a #

Applicative Q 
Instance details

Defined in Language.Haskell.TH.Syntax

Methods

pure :: a -> Q a #

(<*>) :: Q (a -> b) -> Q a -> Q b #

liftA2 :: (a -> b -> c) -> Q a -> Q b -> Q c #

(*>) :: Q a -> Q b -> Q b #

(<*) :: Q a -> Q b -> Q a #

Applicative Complex

Since: base-4.9.0.0

Instance details

Defined in Data.Complex

Methods

pure :: a -> Complex a #

(<*>) :: Complex (a -> b) -> Complex a -> Complex b #

liftA2 :: (a -> b -> c) -> Complex a -> Complex b -> Complex c #

(*>) :: Complex a -> Complex b -> Complex b #

(<*) :: Complex a -> Complex b -> Complex a #

Applicative Min

Since: base-4.9.0.0

Instance details

Defined in Data.Semigroup

Methods

pure :: a -> Min a #

(<*>) :: Min (a -> b) -> Min a -> Min b #

liftA2 :: (a -> b -> c) -> Min a -> Min b -> Min c #

(*>) :: Min a -> Min b -> Min b #

(<*) :: Min a -> Min b -> Min a #

Applicative Max

Since: base-4.9.0.0

Instance details

Defined in Data.Semigroup

Methods

pure :: a -> Max a #

(<*>) :: Max (a -> b) -> Max a -> Max b #

liftA2 :: (a -> b -> c) -> Max a -> Max b -> Max c #

(*>) :: Max a -> Max b -> Max b #

(<*) :: Max a -> Max b -> Max a #

Applicative First

Since: base-4.9.0.0

Instance details

Defined in Data.Semigroup

Methods

pure :: a -> First a #

(<*>) :: First (a -> b) -> First a -> First b #

liftA2 :: (a -> b -> c) -> First a -> First b -> First c #

(*>) :: First a -> First b -> First b #

(<*) :: First a -> First b -> First a #

Applicative Last

Since: base-4.9.0.0

Instance details

Defined in Data.Semigroup

Methods

pure :: a -> Last a #

(<*>) :: Last (a -> b) -> Last a -> Last b #

liftA2 :: (a -> b -> c) -> Last a -> Last b -> Last c #

(*>) :: Last a -> Last b -> Last b #

(<*) :: Last a -> Last b -> Last a #

Applicative Option

Since: base-4.9.0.0

Instance details

Defined in Data.Semigroup

Methods

pure :: a -> Option a #

(<*>) :: Option (a -> b) -> Option a -> Option b #

liftA2 :: (a -> b -> c) -> Option a -> Option b -> Option c #

(*>) :: Option a -> Option b -> Option b #

(<*) :: Option a -> Option b -> Option a #

Applicative ZipList
f <$> ZipList xs1 <*> ... <*> ZipList xsN
    = ZipList (zipWithN f xs1 ... xsN)

where zipWithN refers to the zipWith function of the appropriate arity (zipWith, zipWith3, zipWith4, ...). For example:

(\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

Instance details

Defined in Control.Applicative

Methods

pure :: a -> ZipList a #

(<*>) :: ZipList (a -> b) -> ZipList a -> ZipList b #

liftA2 :: (a -> b -> c) -> ZipList a -> ZipList b -> ZipList c #

(*>) :: ZipList a -> ZipList b -> ZipList b #

(<*) :: ZipList a -> ZipList b -> ZipList a #

Applicative Identity

Since: base-4.8.0.0

Instance details

Defined in Data.Functor.Identity

Methods

pure :: a -> Identity a #

(<*>) :: Identity (a -> b) -> Identity a -> Identity b #

liftA2 :: (a -> b -> c) -> Identity a -> Identity b -> Identity c #

(*>) :: Identity a -> Identity b -> Identity b #

(<*) :: Identity a -> Identity b -> Identity a #

Applicative STM

Since: base-4.8.0.0

Instance details

Defined in GHC.Conc.Sync

Methods

pure :: a -> STM a #

(<*>) :: STM (a -> b) -> STM a -> STM b #

liftA2 :: (a -> b -> c) -> STM a -> STM b -> STM c #

(*>) :: STM a -> STM b -> STM b #

(<*) :: STM a -> STM b -> STM a #

Applicative First

Since: base-4.8.0.0

Instance details

Defined in Data.Monoid

Methods

pure :: a -> First a #

(<*>) :: First (a -> b) -> First a -> First b #

liftA2 :: (a -> b -> c) -> First a -> First b -> First c #

(*>) :: First a -> First b -> First b #

(<*) :: First a -> First b -> First a #

Applicative Last

Since: base-4.8.0.0

Instance details

Defined in Data.Monoid

Methods

pure :: a -> Last a #

(<*>) :: Last (a -> b) -> Last a -> Last b #

liftA2 :: (a -> b -> c) -> Last a -> Last b -> Last c #

(*>) :: Last a -> Last b -> Last b #

(<*) :: Last a -> Last b -> Last a #

Applicative Dual

Since: base-4.8.0.0

Instance details

Defined in Data.Semigroup.Internal

Methods

pure :: a -> Dual a #

(<*>) :: Dual (a -> b) -> Dual a -> Dual b #

liftA2 :: (a -> b -> c) -> Dual a -> Dual b -> Dual c #

(*>) :: Dual a -> Dual b -> Dual b #

(<*) :: Dual a -> Dual b -> Dual a #

Applicative Sum

Since: base-4.8.0.0

Instance details

Defined in Data.Semigroup.Internal

Methods

pure :: a -> Sum a #

(<*>) :: Sum (a -> b) -> Sum a -> Sum b #

liftA2 :: (a -> b -> c) -> Sum a -> Sum b -> Sum c #

(*>) :: Sum a -> Sum b -> Sum b #

(<*) :: Sum a -> Sum b -> Sum a #

Applicative Product

Since: base-4.8.0.0

Instance details

Defined in Data.Semigroup.Internal

Methods

pure :: a -> Product a #

(<*>) :: Product (a -> b) -> Product a -> Product b #

liftA2 :: (a -> b -> c) -> Product a -> Product b -> Product c #

(*>) :: Product a -> Product b -> Product b #

(<*) :: Product a -> Product b -> Product a #

Applicative Down

Since: base-4.11.0.0

Instance details

Defined in Data.Ord

Methods

pure :: a -> Down a #

(<*>) :: Down (a -> b) -> Down a -> Down b #

liftA2 :: (a -> b -> c) -> Down a -> Down b -> Down c #

(*>) :: Down a -> Down b -> Down b #

(<*) :: Down a -> Down b -> Down a #

Applicative ReadP

Since: base-4.6.0.0

Instance details

Defined in Text.ParserCombinators.ReadP

Methods

pure :: a -> ReadP a #

(<*>) :: ReadP (a -> b) -> ReadP a -> ReadP b #

liftA2 :: (a -> b -> c) -> ReadP a -> ReadP b -> ReadP c #

(*>) :: ReadP a -> ReadP b -> ReadP b #

(<*) :: ReadP a -> ReadP b -> ReadP a #

Applicative NonEmpty

Since: base-4.9.0.0

Instance details

Defined in GHC.Base

Methods

pure :: a -> NonEmpty a #

(<*>) :: NonEmpty (a -> b) -> NonEmpty a -> NonEmpty b #

liftA2 :: (a -> b -> c) -> NonEmpty a -> NonEmpty b -> NonEmpty c #

(*>) :: NonEmpty a -> NonEmpty b -> NonEmpty b #

(<*) :: NonEmpty a -> NonEmpty b -> NonEmpty a #

Applicative Tree 
Instance details

Defined in Data.Tree

Methods

pure :: a -> Tree a #

(<*>) :: Tree (a -> b) -> Tree a -> Tree b #

liftA2 :: (a -> b -> c) -> Tree a -> Tree b -> Tree c #

(*>) :: Tree a -> Tree b -> Tree b #

(<*) :: Tree a -> Tree b -> Tree a #

Applicative Seq

Since: containers-0.5.4

Instance details

Defined in Data.Sequence.Internal

Methods

pure :: a -> Seq a #

(<*>) :: Seq (a -> b) -> Seq a -> Seq b #

liftA2 :: (a -> b -> c) -> Seq a -> Seq b -> Seq c #

(*>) :: Seq a -> Seq b -> Seq b #

(<*) :: Seq a -> Seq b -> Seq a #

Applicative P

Since: base-4.5.0.0

Instance details

Defined in Text.ParserCombinators.ReadP

Methods

pure :: a -> P a #

(<*>) :: P (a -> b) -> P a -> P b #

liftA2 :: (a -> b -> c) -> P a -> P b -> P c #

(*>) :: P a -> P b -> P b #

(<*) :: P a -> P b -> P a #

Applicative Parser 
Instance details

Defined in Data.Csv.Conversion

Methods

pure :: a -> Parser a #

(<*>) :: Parser (a -> b) -> Parser a -> Parser b #

liftA2 :: (a -> b -> c) -> Parser a -> Parser b -> Parser c #

(*>) :: Parser a -> Parser b -> Parser b #

(<*) :: Parser a -> Parser b -> Parser a #

Applicative Vector 
Instance details

Defined in Data.Vector

Methods

pure :: a -> Vector a #

(<*>) :: Vector (a -> b) -> Vector a -> Vector b #

liftA2 :: (a -> b -> c) -> Vector a -> Vector b -> Vector c #

(*>) :: Vector a -> Vector b -> Vector b #

(<*) :: Vector a -> Vector b -> Vector a #

Applicative Id 
Instance details

Defined in Data.Vector.Fusion.Util

Methods

pure :: a -> Id a #

(<*>) :: Id (a -> b) -> Id a -> Id b #

liftA2 :: (a -> b -> c) -> Id a -> Id b -> Id c #

(*>) :: Id a -> Id b -> Id b #

(<*) :: Id a -> Id b -> Id a #

Applicative Array 
Instance details

Defined in Data.Primitive.Array

Methods

pure :: a -> Array a #

(<*>) :: Array (a -> b) -> Array a -> Array b #

liftA2 :: (a -> b -> c) -> Array a -> Array b -> Array c #

(*>) :: Array a -> Array b -> Array b #

(<*) :: Array a -> Array b -> Array a #

Applicative Box 
Instance details

Defined in Data.Vector.Fusion.Util

Methods

pure :: a -> Box a #

(<*>) :: Box (a -> b) -> Box a -> Box b #

liftA2 :: (a -> b -> c) -> Box a -> Box b -> Box c #

(*>) :: Box a -> Box b -> Box b #

(<*) :: Box a -> Box b -> Box a #

Applicative Parser 
Instance details

Defined in Options.Applicative.Types

Methods

pure :: a -> Parser a #

(<*>) :: Parser (a -> b) -> Parser a -> Parser b #

liftA2 :: (a -> b -> c) -> Parser a -> Parser b -> Parser c #

(*>) :: Parser a -> Parser b -> Parser b #

(<*) :: Parser a -> Parser b -> Parser a #

Applicative ParserResult 
Instance details

Defined in Options.Applicative.Types

Methods

pure :: a -> ParserResult a #

(<*>) :: ParserResult (a -> b) -> ParserResult a -> ParserResult b #

liftA2 :: (a -> b -> c) -> ParserResult a -> ParserResult b -> ParserResult c #

(*>) :: ParserResult a -> ParserResult b -> ParserResult b #

(<*) :: ParserResult a -> ParserResult b -> ParserResult a #

Applicative ReadM 
Instance details

Defined in Options.Applicative.Types

Methods

pure :: a -> ReadM a #

(<*>) :: ReadM (a -> b) -> ReadM a -> ReadM b #

liftA2 :: (a -> b -> c) -> ReadM a -> ReadM b -> ReadM c #

(*>) :: ReadM a -> ReadM b -> ReadM b #

(<*) :: ReadM a -> ReadM b -> ReadM a #

Applicative SmallArray 
Instance details

Defined in Data.Primitive.SmallArray

Methods

pure :: a -> SmallArray a #

(<*>) :: SmallArray (a -> b) -> SmallArray a -> SmallArray b #

liftA2 :: (a -> b -> c) -> SmallArray a -> SmallArray b -> SmallArray c #

(*>) :: SmallArray a -> SmallArray b -> SmallArray b #

(<*) :: SmallArray a -> SmallArray b -> SmallArray a #

Applicative Root 
Instance details

Defined in Numeric.RootFinding

Methods

pure :: a -> Root a #

(<*>) :: Root (a -> b) -> Root a -> Root b #

liftA2 :: (a -> b -> c) -> Root a -> Root b -> Root c #

(*>) :: Root a -> Root b -> Root b #

(<*) :: Root a -> Root b -> Root a #

Applicative ParserM 
Instance details

Defined in Options.Applicative.Types

Methods

pure :: a -> ParserM a #

(<*>) :: ParserM (a -> b) -> ParserM a -> ParserM b #

liftA2 :: (a -> b -> c) -> ParserM a -> ParserM b -> ParserM c #

(*>) :: ParserM a -> ParserM b -> ParserM b #

(<*) :: ParserM a -> ParserM b -> ParserM a #

Applicative (Either e)

Since: base-3.0

Instance details

Defined in Data.Either

Methods

pure :: a -> Either e a #

(<*>) :: Either e (a -> b) -> Either e a -> Either e b #

liftA2 :: (a -> b -> c) -> Either e a -> Either e b -> Either e c #

(*>) :: Either e a -> Either e b -> Either e b #

(<*) :: Either e a -> Either e b -> Either e a #

Applicative (U1 :: Type -> Type)

Since: base-4.9.0.0

Instance details

Defined in GHC.Generics

Methods

pure :: a -> U1 a #

(<*>) :: U1 (a -> b) -> U1 a -> U1 b #

liftA2 :: (a -> b -> c) -> U1 a -> U1 b -> U1 c #

(*>) :: U1 a -> U1 b -> U1 b #

(<*) :: U1 a -> U1 b -> U1 a #

Monoid a => Applicative ((,) a)

For tuples, the Monoid constraint on a determines how the first values merge. For example, Strings concatenate:

("hello ", (+15)) <*> ("world!", 2002)
("hello world!",2017)

Since: base-2.1

Instance details

Defined in GHC.Base

Methods

pure :: a0 -> (a, a0) #

(<*>) :: (a, a0 -> b) -> (a, a0) -> (a, b) #

liftA2 :: (a0 -> b -> c) -> (a, a0) -> (a, b) -> (a, c) #

(*>) :: (a, a0) -> (a, b) -> (a, b) #

(<*) :: (a, a0) -> (a, b) -> (a, a0) #

Applicative (ST s)

Since: base-4.4.0.0

Instance details

Defined in GHC.ST

Methods

pure :: a -> ST s a #

(<*>) :: ST s (a -> b) -> ST s a -> ST s b #

liftA2 :: (a -> b -> c) -> ST s a -> ST s b -> ST s c #

(*>) :: ST s a -> ST s b -> ST s b #

(<*) :: ST s a -> ST s b -> ST s a #

Applicative (ST s)

Since: base-2.1

Instance details

Defined in Control.Monad.ST.Lazy.Imp

Methods

pure :: a -> ST s a #

(<*>) :: ST s (a -> b) -> ST s a -> ST s b #

liftA2 :: (a -> b -> c) -> ST s a -> ST s b -> ST s c #

(*>) :: ST s a -> ST s b -> ST s b #

(<*) :: ST s a -> ST s b -> ST s a #

Monad m => Applicative (WrappedMonad m)

Since: base-2.1

Instance details

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

Instance details

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

Instance details

Defined in Data.Proxy

Methods

pure :: a -> Proxy a #

(<*>) :: Proxy (a -> b) -> Proxy a -> Proxy b #

liftA2 :: (a -> b -> c) -> Proxy a -> Proxy b -> Proxy c #

(*>) :: Proxy a -> Proxy b -> Proxy b #

(<*) :: Proxy a -> Proxy b -> Proxy a #

(Functor m, Monad m) => Applicative (MaybeT m) 
Instance details

Defined in Control.Monad.Trans.Maybe

Methods

pure :: a -> MaybeT m a #

(<*>) :: MaybeT m (a -> b) -> MaybeT m a -> MaybeT m b #

liftA2 :: (a -> b -> c) -> MaybeT m a -> MaybeT m b -> MaybeT m c #

(*>) :: MaybeT m a -> MaybeT m b -> MaybeT m b #

(<*) :: MaybeT m a -> MaybeT m b -> MaybeT m a #

Applicative m => Applicative (ListT m) 
Instance details

Defined in Control.Monad.Trans.List

Methods

pure :: a -> ListT m a #

(<*>) :: ListT m (a -> b) -> ListT m a -> ListT m b #

liftA2 :: (a -> b -> c) -> ListT m a -> ListT m b -> ListT m c #

(*>) :: ListT m a -> ListT m b -> ListT m b #

(<*) :: ListT m a -> ListT m b -> ListT m a #

Applicative (Parser i) 
Instance details

Defined in Data.Attoparsec.Internal.Types

Methods

pure :: a -> Parser i a #

(<*>) :: Parser i (a -> b) -> Parser i a -> Parser i b #

liftA2 :: (a -> b -> c) -> Parser i a -> Parser i b -> Parser i c #

(*>) :: Parser i a -> Parser i b -> Parser i b #

(<*) :: Parser i a -> Parser i b -> Parser i a #

Representable f => Applicative (Co f) 
Instance details

Defined in Data.Functor.Rep

Methods

pure :: a -> Co f a #

(<*>) :: Co f (a -> b) -> Co f a -> Co f b #

liftA2 :: (a -> b -> c) -> Co f a -> Co f b -> Co f c #

(*>) :: Co f a -> Co f b -> Co f b #

(<*) :: Co f a -> Co f b -> Co f a #

Alternative f => Applicative (Cofree f) 
Instance details

Defined in Control.Comonad.Cofree

Methods

pure :: a -> Cofree f a #

(<*>) :: Cofree f (a -> b) -> Cofree f a -> Cofree f b #

liftA2 :: (a -> b -> c) -> Cofree f a -> Cofree f b -> Cofree f c #

(*>) :: Cofree f a -> Cofree f b -> Cofree f b #

(<*) :: Cofree f a -> Cofree f b -> Cofree f a #

Applicative f => Applicative (Rec1 f)

Since: base-4.9.0.0

Instance details

Defined in GHC.Generics

Methods

pure :: a -> Rec1 f a #

(<*>) :: Rec1 f (a -> b) -> Rec1 f a -> Rec1 f b #

liftA2 :: (a -> b -> c) -> Rec1 f a -> Rec1 f b -> Rec1 f c #

(*>) :: Rec1 f a -> Rec1 f b -> Rec1 f b #

(<*) :: Rec1 f a -> Rec1 f b -> Rec1 f a #

(Monoid a, Monoid b) => Applicative ((,,) a b)

Since: base-4.14.0.0

Instance details

Defined in GHC.Base

Methods

pure :: a0 -> (a, b, a0) #

(<*>) :: (a, b, a0 -> b0) -> (a, b, a0) -> (a, b, b0) #

liftA2 :: (a0 -> b0 -> c) -> (a, b, a0) -> (a, b, b0) -> (a, b, c) #

(*>) :: (a, b, a0) -> (a, b, b0) -> (a, b, b0) #

(<*) :: (a, b, a0) -> (a, b, b0) -> (a, b, a0) #

Arrow a => Applicative (WrappedArrow a b)

Since: base-2.1

Instance details

Defined in Control.Applicative

Methods

pure :: a0 -> WrappedArrow a b a0 #

(<*>) :: WrappedArrow a b (a0 -> b0) -> WrappedArrow a b a0 -> WrappedArrow a b b0 #

liftA2 :: (a0 -> b0 -> c) -> WrappedArrow a b a0 -> WrappedArrow a b b0 -> WrappedArrow a b c #

(*>) :: WrappedArrow a b a0 -> WrappedArrow a b b0 -> WrappedArrow a b b0 #

(<*) :: WrappedArrow a b a0 -> WrappedArrow a b b0 -> WrappedArrow a b a0 #

Applicative m => Applicative (Kleisli m a)

Since: base-4.14.0.0

Instance details

Defined in Control.Arrow

Methods

pure :: a0 -> Kleisli m a a0 #

(<*>) :: Kleisli m a (a0 -> b) -> Kleisli m a a0 -> Kleisli m a b #

liftA2 :: (a0 -> b -> c) -> Kleisli m a a0 -> Kleisli m a b -> Kleisli m a c #

(*>) :: Kleisli m a a0 -> Kleisli m a b -> Kleisli m a b #

(<*) :: Kleisli m a a0 -> Kleisli m a b -> Kleisli m a a0 #

Monoid m => Applicative (Const m :: Type -> Type)

Since: base-2.0.1

Instance details

Defined in Data.Functor.Const

Methods

pure :: a -> Const m a #

(<*>) :: Const m (a -> b) -> Const m a -> Const m b #

liftA2 :: (a -> b -> c) -> Const m a -> Const m b -> Const m c #

(*>) :: Const m a -> Const m b -> Const m b #

(<*) :: Const m a -> Const m b -> Const m a #

Applicative f => Applicative (Ap f)

Since: base-4.12.0.0

Instance details

Defined in Data.Monoid

Methods

pure :: a -> Ap f a #

(<*>) :: Ap f (a -> b) -> Ap f a -> Ap f b #

liftA2 :: (a -> b -> c) -> Ap f a -> Ap f b -> Ap f c #

(*>) :: Ap f a -> Ap f b -> Ap f b #

(<*) :: Ap f a -> Ap f b -> Ap f a #

Applicative f => Applicative (Alt f)

Since: base-4.8.0.0

Instance details

Defined in Data.Semigroup.Internal

Methods

pure :: a -> Alt f a #

(<*>) :: Alt f (a -> b) -> Alt f a -> Alt f b #

liftA2 :: (a -> b -> c) -> Alt f a -> Alt f b -> Alt f c #

(*>) :: Alt f a -> Alt f b -> Alt f b #

(<*) :: Alt f a -> Alt f b -> Alt f a #

(Applicative f, Monad f) => Applicative (WhenMissing f x)

Equivalent to ReaderT k (ReaderT x (MaybeT f)).

Since: containers-0.5.9

Instance details

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 #

(Functor m, Monad m) => Applicative (ExceptT e m) 
Instance details

Defined in Control.Monad.Trans.Except

Methods

pure :: a -> ExceptT e m a #

(<*>) :: ExceptT e m (a -> b) -> ExceptT e m a -> ExceptT e m b #

liftA2 :: (a -> b -> c) -> ExceptT e m a -> ExceptT e m b -> ExceptT e m c #

(*>) :: ExceptT e m a -> ExceptT e m b -> ExceptT e m b #

(<*) :: ExceptT e m a -> ExceptT e m b -> ExceptT e m a #

Applicative m => Applicative (IdentityT m) 
Instance details

Defined in Control.Monad.Trans.Identity

Methods

pure :: a -> IdentityT m a #

(<*>) :: IdentityT m (a -> b) -> IdentityT m a -> IdentityT m b #

liftA2 :: (a -> b -> c) -> IdentityT m a -> IdentityT m b -> IdentityT m c #

(*>) :: IdentityT m a -> IdentityT m b -> IdentityT m b #

(<*) :: IdentityT m a -> IdentityT m b -> IdentityT m a #

(Functor m, Monad m) => Applicative (ErrorT e m) 
Instance details

Defined in Control.Monad.Trans.Error

Methods

pure :: a -> ErrorT e m a #

(<*>) :: ErrorT e m (a -> b) -> ErrorT e m a -> ErrorT e m b #

liftA2 :: (a -> b -> c) -> ErrorT e m a -> ErrorT e m b -> ErrorT e m c #

(*>) :: ErrorT e m a -> ErrorT e m b -> ErrorT e m b #

(<*) :: ErrorT e m a -> ErrorT e m b -> ErrorT e m a #

Applicative m => Applicative (ReaderT r m) 
Instance details

Defined in Control.Monad.Trans.Reader

Methods

pure :: a -> ReaderT r m a #

(<*>) :: ReaderT r m (a -> b) -> ReaderT r m a -> ReaderT r m b #

liftA2 :: (a -> b -> c) -> ReaderT r m a -> ReaderT r m b -> ReaderT r m c #

(*>) :: ReaderT r m a -> ReaderT r m b -> ReaderT r m b #

(<*) :: ReaderT r m a -> ReaderT r m b -> ReaderT r m a #

(Functor m, Monad m) => Applicative (StateT s m) 
Instance details

Defined in Control.Monad.Trans.State.Lazy

Methods

pure :: a -> StateT s m a #

(<*>) :: StateT s m (a -> b) -> StateT s m a -> StateT s m b #

liftA2 :: (a -> b -> c) -> StateT s m a -> StateT s m b -> StateT s m c #

(*>) :: StateT s m a -> StateT s m b -> StateT s m b #

(<*) :: StateT s m a -> StateT s m b -> StateT s m a #

(Functor m, Monad m) => Applicative (StateT s m) 
Instance details

Defined in Control.Monad.Trans.State.Strict

Methods

pure :: a -> StateT s m a #

(<*>) :: StateT s m (a -> b) -> StateT s m a -> StateT s m b #

liftA2 :: (a -> b -> c) -> StateT s m a -> StateT s m b -> StateT s m c #

(*>) :: StateT s m a -> StateT s m b -> StateT s m b #

(<*) :: StateT s m a -> StateT s m b -> StateT s m a #

(Monoid w, Applicative m) => Applicative (WriterT w m) 
Instance details

Defined in Control.Monad.Trans.Writer.Lazy

Methods

pure :: a -> WriterT w m a #

(<*>) :: WriterT w m (a -> b) -> WriterT w m a -> WriterT w m b #

liftA2 :: (a -> b -> c) -> WriterT w m a -> WriterT w m b -> WriterT w m c #

(*>) :: WriterT w m a -> WriterT w m b -> WriterT w m b #

(<*) :: WriterT w m a -> WriterT w m b -> WriterT w m a #

(Monoid w, Applicative m) => Applicative (WriterT w m) 
Instance details

Defined in Control.Monad.Trans.Writer.Strict

Methods

pure :: a -> WriterT w m a #

(<*>) :: WriterT w m (a -> b) -> WriterT w m a -> WriterT w m b #

liftA2 :: (a -> b -> c) -> WriterT w m a -> WriterT w m b -> WriterT w m c #

(*>) :: WriterT w m a -> WriterT w m b -> WriterT w m b #

(<*) :: WriterT w m a -> WriterT w m b -> WriterT w m a #

(Monoid w, Functor m, Monad m) => Applicative (AccumT w m) 
Instance details

Defined in Control.Monad.Trans.Accum

Methods

pure :: a -> AccumT w m a #

(<*>) :: AccumT w m (a -> b) -> AccumT w m a -> AccumT w m b #

liftA2 :: (a -> b -> c) -> AccumT w m a -> AccumT w m b -> AccumT w m c #

(*>) :: AccumT w m a -> AccumT w m b -> AccumT w m b #

(<*) :: AccumT w m a -> AccumT w m b -> AccumT w m a #

(Functor m, Monad m) => Applicative (WriterT w m) 
Instance details

Defined in Control.Monad.Trans.Writer.CPS

Methods

pure :: a -> WriterT w m a #

(<*>) :: WriterT w m (a -> b) -> WriterT w m a -> WriterT w m b #

liftA2 :: (a -> b -> c) -> WriterT w m a -> WriterT w m b -> WriterT w m c #

(*>) :: WriterT w m a -> WriterT w m b -> WriterT w m b #

(<*) :: WriterT w m a -> WriterT w m b -> WriterT w m a #

(Functor m, Monad m) => Applicative (SelectT r m) 
Instance details

Defined in Control.Monad.Trans.Select

Methods

pure :: a -> SelectT r m a #

(<*>) :: SelectT r m (a -> b) -> SelectT r m a -> SelectT r m b #

liftA2 :: (a -> b -> c) -> SelectT r m a -> SelectT r m b -> SelectT r m c #

(*>) :: SelectT r m a -> SelectT r m b -> SelectT r m b #

(<*) :: SelectT r m a -> SelectT r m b -> SelectT r m a #

Applicative (Tagged s) 
Instance details

Defined in Data.Tagged

Methods

pure :: a -> Tagged s a #

(<*>) :: Tagged s (a -> b) -> Tagged s a -> Tagged s b #

liftA2 :: (a -> b -> c) -> Tagged s a -> Tagged s b -> Tagged s c #

(*>) :: Tagged s a -> Tagged s b -> Tagged s b #

(<*) :: Tagged s a -> Tagged s b -> Tagged s a #

Biapplicative p => Applicative (Join p) 
Instance details

Defined in Data.Bifunctor.Join

Methods

pure :: a -> Join p a #

(<*>) :: Join p (a -> b) -> Join p a -> Join p b #

liftA2 :: (a -> b -> c) -> Join p a -> Join p b -> Join p c #

(*>) :: Join p a -> Join p b -> Join p b #

(<*) :: Join p a -> Join p b -> Join p a #

Applicative ((->) r :: Type -> Type)

Since: base-2.1

Instance details

Defined in GHC.Base

Methods

pure :: a -> r -> a #

(<*>) :: (r -> (a -> b)) -> (r -> a) -> r -> b #

liftA2 :: (a -> b -> c) -> (r -> a) -> (r -> b) -> r -> c #

(*>) :: (r -> a) -> (r -> b) -> r -> b #

(<*) :: (r -> a) -> (r -> b) -> r -> a #

Monoid c => Applicative (K1 i c :: Type -> Type)

Since: base-4.12.0.0

Instance details

Defined in GHC.Generics

Methods

pure :: a -> K1 i c a #

(<*>) :: K1 i c (a -> b) -> K1 i c a -> K1 i c b #

liftA2 :: (a -> b -> c0) -> K1 i c a -> K1 i c b -> K1 i c c0 #

(*>) :: K1 i c a -> K1 i c b -> K1 i c b #

(<*) :: K1 i c a -> K1 i c b -> K1 i c a #

(Applicative f, Applicative g) => Applicative (f :*: g)

Since: base-4.9.0.0

Instance details

Defined in GHC.Generics

Methods

pure :: a -> (f :*: g) a #

(<*>) :: (f :*: g) (a -> b) -> (f :*: g) a -> (f :*: g) b #

liftA2 :: (a -> b -> c) -> (f :*: g) a -> (f :*: g) b -> (f :*: g) c #

(*>) :: (f :*: g) a -> (f :*: g) b -> (f :*: g) b #

(<*) :: (f :*: g) a -> (f :*: g) b -> (f :*: g) a #

(Monoid a, Monoid b, Monoid c) => Applicative ((,,,) a b c)

Since: base-4.14.0.0

Instance details

Defined in GHC.Base

Methods

pure :: a0 -> (a, b, c, a0) #

(<*>) :: (a, b, c, a0 -> b0) -> (a, b, c, a0) -> (a, b, c, b0) #

liftA2 :: (a0 -> b0 -> c0) -> (a, b, c, a0) -> (a, b, c, b0) -> (a, b, c, c0) #

(*>) :: (a, b, c, a0) -> (a, b, c, b0) -> (a, b, c, b0) #

(<*) :: (a, b, c, a0) -> (a, b, c, b0) -> (a, b, c, a0) #

(Applicative f, Applicative g) => Applicative (Product f g)

Since: base-4.9.0.0

Instance details

Defined in Data.Functor.Product

Methods

pure :: a -> Product f g a #

(<*>) :: Product f g (a -> b) -> Product f g a -> Product f g b #

liftA2 :: (a -> b -> c) -> Product f g a -> Product f g b -> Product f g c #

(*>) :: Product f g a -> Product f g b -> Product f g b #

(<*) :: Product f g a -> Product f g b -> Product f g a #

(Monad f, Applicative f) => Applicative (WhenMatched f x y)

Equivalent to ReaderT Key (ReaderT x (ReaderT y (MaybeT f)))

Since: containers-0.5.9

Instance details

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 ReaderT k (ReaderT x (MaybeT f)) .

Since: containers-0.5.9

Instance details

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 (ContT r m) 
Instance details

Defined in Control.Monad.Trans.Cont

Methods

pure :: a -> ContT r m a #

(<*>) :: ContT r m (a -> b) -> ContT r m a -> ContT r m b #

liftA2 :: (a -> b -> c) -> ContT r m a -> ContT r m b -> ContT r m c #

(*>) :: ContT r m a -> ContT r m b -> ContT r m b #

(<*) :: ContT r m a -> ContT r m b -> ContT r m a #

Applicative f => Applicative (M1 i c f)

Since: base-4.9.0.0

Instance details

Defined in GHC.Generics

Methods

pure :: a -> M1 i c f a #

(<*>) :: M1 i c f (a -> b) -> M1 i c f a -> M1 i c f b #

liftA2 :: (a -> b -> c0) -> M1 i c f a -> M1 i c f b -> M1 i c f c0 #

(*>) :: M1 i c f a -> M1 i c f b -> M1 i c f b #

(<*) :: M1 i c f a -> M1 i c f b -> M1 i c f a #

(Applicative f, Applicative g) => Applicative (f :.: g)

Since: base-4.9.0.0

Instance details

Defined in GHC.Generics

Methods

pure :: a -> (f :.: g) a #

(<*>) :: (f :.: g) (a -> b) -> (f :.: g) a -> (f :.: g) b #

liftA2 :: (a -> b -> c) -> (f :.: g) a -> (f :.: g) b -> (f :.: g) c #

(*>) :: (f :.: g) a -> (f :.: g) b -> (f :.: g) b #

(<*) :: (f :.: g) a -> (f :.: g) b -> (f :.: g) a #

(Applicative f, Applicative g) => Applicative (Compose f g)

Since: base-4.9.0.0

Instance details

Defined in Data.Functor.Compose

Methods

pure :: a -> Compose f g a #

(<*>) :: Compose f g (a -> b) -> Compose f g a -> Compose f g b #

liftA2 :: (a -> b -> c) -> Compose f g a -> Compose f g b -> Compose f g c #

(*>) :: Compose f g a -> Compose f g b -> Compose f g b #

(<*) :: Compose f g a -> Compose f g b -> Compose f g a #

(Monad f, Applicative f) => Applicative (WhenMatched f k x y)

Equivalent to ReaderT k (ReaderT x (ReaderT y (MaybeT f)))

Since: containers-0.5.9

Instance details

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 w, Functor m, Monad m) => Applicative (RWST r w s m) 
Instance details

Defined in Control.Monad.Trans.RWS.Strict

Methods

pure :: a -> RWST r w s m a #

(<*>) :: RWST r w s m (a -> b) -> RWST r w s m a -> RWST r w s m b #

liftA2 :: (a -> b -> c) -> RWST r w s m a -> RWST r w s m b -> RWST r w s m c #

(*>) :: RWST r w s m a -> RWST r w s m b -> RWST r w s m b #

(<*) :: RWST r w s m a -> RWST r w s m b -> RWST r w s m a #

(Monoid w, Functor m, Monad m) => Applicative (RWST r w s m) 
Instance details

Defined in Control.Monad.Trans.RWS.Lazy

Methods

pure :: a -> RWST r w s m a #

(<*>) :: RWST r w s m (a -> b) -> RWST r w s m a -> RWST r w s m b #

liftA2 :: (a -> b -> c) -> RWST r w s m a -> RWST r w s m b -> RWST r w s m c #

(*>) :: RWST r w s m a -> RWST r w s m b -> RWST r w s m b #

(<*) :: RWST r w s m a -> RWST r w s m b -> RWST r w s m a #

(Functor m, Monad m) => Applicative (RWST r w s m) 
Instance details

Defined in Control.Monad.Trans.RWS.CPS

Methods

pure :: a -> RWST r w s m a #

(<*>) :: RWST r w s m (a -> b) -> RWST r w s m a -> RWST r w s m b #

liftA2 :: (a -> b -> c) -> RWST r w s m a -> RWST r w s m b -> RWST r w s m c #

(*>) :: RWST r w s m a -> RWST r w s m b -> RWST r w s m b #

(<*) :: RWST r w s m a -> RWST r w s m b -> RWST r w s m a #

optional :: Alternative f => f a -> f (Maybe a) #

One or none.

newtype WrappedMonad (m :: Type -> Type) a #

Constructors

WrapMonad 

Fields

Instances

Instances details
Monad m => Monad (WrappedMonad m)

Since: base-4.7.0.0

Instance details

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 #

Monad m => Functor (WrappedMonad m)

Since: base-2.1

Instance details

Defined in Control.Applicative

Methods

fmap :: (a -> b) -> WrappedMonad m a -> WrappedMonad m b #

(<$) :: a -> WrappedMonad m b -> WrappedMonad m a #

Monad m => Applicative (WrappedMonad m)

Since: base-2.1

Instance details

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 #

MonadPlus m => Alternative (WrappedMonad m)

Since: base-2.1

Instance details

Defined in Control.Applicative

Methods

empty :: WrappedMonad m a #

(<|>) :: WrappedMonad m a -> WrappedMonad m a -> WrappedMonad m a #

some :: WrappedMonad m a -> WrappedMonad m [a] #

many :: WrappedMonad m a -> WrappedMonad m [a] #

Generic1 (WrappedMonad m :: Type -> Type)

Since: base-4.7.0.0

Instance details

Defined in Control.Applicative

Associated Types

type Rep1 (WrappedMonad m) :: k -> Type #

Methods

from1 :: forall (a :: k). WrappedMonad m a -> Rep1 (WrappedMonad m) a #

to1 :: forall (a :: k). Rep1 (WrappedMonad m) a -> WrappedMonad m a #

Generic (WrappedMonad m a)

Since: base-4.7.0.0

Instance details

Defined in Control.Applicative

Associated Types

type Rep (WrappedMonad m a) :: Type -> Type #

Methods

from :: WrappedMonad m a -> Rep (WrappedMonad m a) x #

to :: Rep (WrappedMonad m a) x -> WrappedMonad m a #

type Rep1 (WrappedMonad m :: Type -> Type) 
Instance details

Defined in Control.Applicative

type Rep1 (WrappedMonad m :: Type -> Type) = D1 ('MetaData "WrappedMonad" "Control.Applicative" "base" 'True) (C1 ('MetaCons "WrapMonad" 'PrefixI 'True) (S1 ('MetaSel ('Just "unwrapMonad") 'NoSourceUnpackedness 'NoSourceStrictness 'DecidedLazy) (Rec1 m)))
type Rep (WrappedMonad m a) 
Instance details

Defined in Control.Applicative

type Rep (WrappedMonad m a) = D1 ('MetaData "WrappedMonad" "Control.Applicative" "base" 'True) (C1 ('MetaCons "WrapMonad" 'PrefixI 'True) (S1 ('MetaSel ('Just "unwrapMonad") 'NoSourceUnpackedness 'NoSourceStrictness 'DecidedLazy) (Rec0 (m a))))

newtype WrappedArrow (a :: Type -> Type -> Type) b c #

Constructors

WrapArrow 

Fields

Instances

Instances details
Generic1 (WrappedArrow a b :: Type -> Type)

Since: base-4.7.0.0

Instance details

Defined in Control.Applicative

Associated Types

type Rep1 (WrappedArrow a b) :: k -> Type #

Methods

from1 :: forall (a0 :: k). WrappedArrow a b a0 -> Rep1 (WrappedArrow a b) a0 #

to1 :: forall (a0 :: k). Rep1 (WrappedArrow a b) a0 -> WrappedArrow a b a0 #

Arrow a => Functor (WrappedArrow a b)

Since: base-2.1

Instance details

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 #

Arrow a => Applicative (WrappedArrow a b)

Since: base-2.1

Instance details

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 #

(ArrowZero a, ArrowPlus a) => Alternative (WrappedArrow a b)

Since: base-2.1

Instance details

Defined in Control.Applicative

Methods

empty :: WrappedArrow a b a0 #

(<|>) :: WrappedArrow a b a0 -> WrappedArrow a b a0 -> WrappedArrow a b a0 #

some :: WrappedArrow a b a0 -> WrappedArrow a b [a0] #

many :: WrappedArrow a b a0 -> WrappedArrow a b [a0] #

Generic (WrappedArrow a b c)

Since: base-4.7.0.0

Instance details

Defined in Control.Applicative

Associated Types

type Rep (WrappedArrow a b c) :: Type -> Type #

Methods

from :: WrappedArrow a b c -> Rep (WrappedArrow a b c) x #

to :: Rep (WrappedArrow a b c) x -> WrappedArrow a b c #

type Rep1 (WrappedArrow a b :: Type -> Type) 
Instance details

Defined in Control.Applicative

type Rep1 (WrappedArrow a b :: Type -> Type) = D1 ('MetaData "WrappedArrow" "Control.Applicative" "base" 'True) (C1 ('MetaCons "WrapArrow" 'PrefixI 'True) (S1 ('MetaSel ('Just "unwrapArrow") 'NoSourceUnpackedness 'NoSourceStrictness 'DecidedLazy) (Rec1 (a b))))
type Rep (WrappedArrow a b c) 
Instance details

Defined in Control.Applicative

type Rep (WrappedArrow a b c) = D1 ('MetaData "WrappedArrow" "Control.Applicative" "base" 'True) (C1 ('MetaCons "WrapArrow" 'PrefixI 'True) (S1 ('MetaSel ('Just "unwrapArrow") 'NoSourceUnpackedness 'NoSourceStrictness 'DecidedLazy) (Rec0 (a b c))))

newtype ZipList a #

Lists, but with an Applicative functor based on zipping.

Constructors

ZipList 

Fields

Instances

Instances details
Functor ZipList

Since: base-2.1

Instance details

Defined in Control.Applicative

Methods

fmap :: (a -> b) -> ZipList a -> ZipList b #

(<$) :: a -> ZipList b -> ZipList a #

Applicative ZipList
f <$> ZipList xs1 <*> ... <*> ZipList xsN
    = ZipList (zipWithN f xs1 ... xsN)

where zipWithN refers to the zipWith function of the appropriate arity (zipWith, zipWith3, zipWith4, ...). For example:

(\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

Instance details

Defined in Control.Applicative

Methods

pure :: a -> ZipList a #

(<*>) :: ZipList (a -> b) -> ZipList a -> ZipList b #

liftA2 :: (a -> b -> c) -> ZipList a -> ZipList b -> ZipList c #

(*>) :: ZipList a -> ZipList b -> ZipList b #

(<*) :: ZipList a -> ZipList b -> ZipList a #

Foldable ZipList

Since: base-4.9.0.0

Instance details

Defined in Control.Applicative

Methods

fold :: Monoid m => ZipList m -> m #

foldMap :: Monoid m => (a -> m) -> ZipList a -> m #

foldMap' :: Monoid m => (a -> m) -> ZipList a -> m #

foldr :: (a -> b -> b) -> b -> ZipList a -> b #

foldr' :: (a -> b -> b) -> b -> ZipList a -> b #

foldl :: (b -> a -> b) -> b -> ZipList a -> b #

foldl' :: (b -> a -> b) -> b -> ZipList a -> b #

foldr1 :: (a -> a -> a) -> ZipList a -> a #

foldl1 :: (a -> a -> a) -> ZipList a -> a #

toList :: ZipList a -> [a] #

null :: ZipList a -> Bool #

length :: ZipList a -> Int #

elem :: Eq a => a -> ZipList a -> Bool #

maximum :: Ord a => ZipList a -> a #

minimum :: Ord a => ZipList a -> a #

sum :: Num a => ZipList a -> a #

product :: Num a => ZipList a -> a #

Traversable ZipList

Since: base-4.9.0.0

Instance details

Defined in Data.Traversable

Methods

traverse :: Applicative f => (a -> f b) -> ZipList a -> f (ZipList b) #

sequenceA :: Applicative f => ZipList (f a) -> f (ZipList a) #

mapM :: Monad m => (a -> m b) -> ZipList a -> m (ZipList b) #

sequence :: Monad m => ZipList (m a) -> m (ZipList a) #

Alternative ZipList

Since: base-4.11.0.0

Instance details

Defined in Control.Applicative

Methods

empty :: ZipList a #

(<|>) :: ZipList a -> ZipList a -> ZipList a #

some :: ZipList a -> ZipList [a] #

many :: ZipList a -> ZipList [a] #

NFData1 ZipList

Since: deepseq-1.4.3.0

Instance details

Defined in Control.DeepSeq

Methods

liftRnf :: (a -> ()) -> ZipList a -> () #

IsList (ZipList a)

Since: base-4.15.0.0

Instance details

Defined in GHC.Exts

Associated Types

type Item (ZipList a) #

Methods

fromList :: [Item (ZipList a)] -> ZipList a #

fromListN :: Int -> [Item (ZipList a)] -> ZipList a #

toList :: ZipList a -> [Item (ZipList a)] #

Eq a => Eq (ZipList a)

Since: base-4.7.0.0

Instance details

Defined in Control.Applicative

Methods

(==) :: ZipList a -> ZipList a -> Bool #

(/=) :: ZipList a -> ZipList a -> Bool #

Ord a => Ord (ZipList a)

Since: base-4.7.0.0

Instance details

Defined in Control.Applicative

Methods

compare :: ZipList a -> ZipList a -> Ordering #

(<) :: ZipList a -> ZipList a -> Bool #

(<=) :: ZipList a -> ZipList a -> Bool #

(>) :: ZipList a -> ZipList a -> Bool #

(>=) :: ZipList a -> ZipList a -> Bool #

max :: ZipList a -> ZipList a -> ZipList a #

min :: ZipList a -> ZipList a -> ZipList a #

Read a => Read (ZipList a)

Since: base-4.7.0.0

Instance details

Defined in Control.Applicative

Show a => Show (ZipList a)

Since: base-4.7.0.0

Instance details

Defined in Control.Applicative

Methods

showsPrec :: Int -> ZipList a -> ShowS #

show :: ZipList a -> String #

showList :: [ZipList a] -> ShowS #

Generic (ZipList a)

Since: base-4.7.0.0

Instance details

Defined in Control.Applicative

Associated Types

type Rep (ZipList a) :: Type -> Type #

Methods

from :: ZipList a -> Rep (ZipList a) x #

to :: Rep (ZipList a) x -> ZipList a #

NFData a => NFData (ZipList a)

Since: deepseq-1.4.0.0

Instance details

Defined in Control.DeepSeq

Methods

rnf :: ZipList a -> () #

Generic1 ZipList

Since: base-4.7.0.0

Instance details

Defined in Control.Applicative

Associated Types

type Rep1 ZipList :: k -> Type #

Methods

from1 :: forall (a :: k). ZipList a -> Rep1 ZipList a #

to1 :: forall (a :: k). Rep1 ZipList a -> ZipList a #

type Rep (ZipList a) 
Instance details

Defined in Control.Applicative

type Rep (ZipList a) = D1 ('MetaData "ZipList" "Control.Applicative" "base" 'True) (C1 ('MetaCons "ZipList" 'PrefixI 'True) (S1 ('MetaSel ('Just "getZipList") 'NoSourceUnpackedness 'NoSourceStrictness 'DecidedLazy) (Rec0 [a])))
type Item (ZipList a) 
Instance details

Defined in GHC.Exts

type Item (ZipList a) = a
type Rep1 ZipList 
Instance details

Defined in Control.Applicative

type Rep1 ZipList = D1 ('MetaData "ZipList" "Control.Applicative" "base" 'True) (C1 ('MetaCons "ZipList" 'PrefixI 'True) (S1 ('MetaSel ('Just "getZipList") 'NoSourceUnpackedness 'NoSourceStrictness 'DecidedLazy) (Rec1 [])))

newtype Const a (b :: k) #

The Const functor.

Constructors

Const 

Fields

Instances

Instances details
Generic1 (Const a :: k -> Type)

Since: base-4.9.0.0

Instance details

Defined in Data.Functor.Const

Associated Types

type Rep1 (Const a) :: k -> Type #

Methods

from1 :: forall (a0 :: k0). Const a a0 -> Rep1 (Const a) a0 #

to1 :: forall (a0 :: k0). Rep1 (Const a) a0 -> Const a a0 #

Unbox a => Vector Vector (Const a b) 
Instance details

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 ()

elemseq :: Vector (Const a b) -> Const a b -> b0 -> b0

Unbox a => MVector MVector (Const a b) 
Instance details

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))

Eq2 (Const :: Type -> Type -> Type)

Since: base-4.9.0.0

Instance details

Defined in Data.Functor.Classes

Methods

liftEq2 :: (a -> b -> Bool) -> (c -> d -> Bool) -> Const a c -> Const b d -> Bool #

Ord2 (Const :: Type -> Type -> Type)

Since: base-4.9.0.0

Instance details

Defined in Data.Functor.Classes

Methods

liftCompare2 :: (a -> b -> Ordering) -> (c -> d -> Ordering) -> Const a c -> Const b d -> Ordering #

Read2 (Const :: Type -> Type -> Type)

Since: base-4.9.0.0

Instance details

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

Instance details

Defined in Data.Functor.Classes

Methods

liftShowsPrec2 :: (Int -> a -> ShowS) -> ([a] -> ShowS) -> (Int -> b -> ShowS) -> ([b] -> ShowS) -> Int -> Const a b -> ShowS #

liftShowList2 :: (Int -> a -> ShowS) -> ([a] -> ShowS) -> (Int -> b -> ShowS) -> ([b] -> ShowS) -> [Const a b] -> ShowS #

NFData2 (Const :: Type -> Type -> Type)

Since: deepseq-1.4.3.0

Instance details

Defined in Control.DeepSeq

Methods

liftRnf2 :: (a -> ()) -> (b -> ()) -> Const a b -> () #

Hashable2 (Const :: Type -> Type -> Type) 
Instance details

Defined in Data.Hashable.Class

Methods

liftHashWithSalt2 :: (Int -> a -> Int) -> (Int -> b -> Int) -> Int -> Const a b -> Int

Functor (Const m :: Type -> Type)

Since: base-2.1

Instance details

Defined in Data.Functor.Const

Methods

fmap :: (a -> b) -> Const m a -> Const m b #

(<$) :: a -> Const m b -> Const m a #

Monoid m => Applicative (Const m :: Type -> Type)

Since: base-2.0.1

Instance details

Defined in Data.Functor.Const

Methods

pure :: a -> Const m a #

(<*>) :: Const m (a -> b) -> Const m a -> Const m b #

liftA2 :: (a -> b -> c) -> Const m a -> Const m b -> Const m c #

(*>) :: Const m a -> Const m b -> Const m b #

(<*) :: Const m a -> Const m b -> Const m a #

Foldable (Const m :: Type -> Type)

Since: base-4.7.0.0

Instance details

Defined in Data.Functor.Const

Methods

fold :: Monoid m0 => Const m m0 -> m0 #

foldMap :: Monoid m0 => (a -> m0) -> Const m a -> m0 #

foldMap' :: Monoid m0 => (a -> m0) -> Const m a -> m0 #

foldr :: (a -> b -> b) -> b -> Const m a -> b #

foldr' :: (a -> b -> b) -> b -> Const m a -> b #

foldl :: (b -> a -> b) -> b -> Const m a -> b #

foldl' :: (b -> a -> b) -> b -> Const m a -> b #

foldr1 :: (a -> a -> a) -> Const m a -> a #

foldl1 :: (a -> a -> a) -> Const m a -> a #

toList :: Const m a -> [a] #

null :: Const m a -> Bool #

length :: Const m a -> Int #

elem :: Eq a => a -> Const m a -> Bool #

maximum :: Ord a => Const m a -> a #

minimum :: Ord a => Const m a -> a #

sum :: Num a => Const m a -> a #

product :: Num a => Const m a -> a #

Traversable (Const m :: Type -> Type)

Since: base-4.7.0.0

Instance details

Defined in Data.Traversable

Methods

traverse :: Applicative f => (a -> f b) -> Const m a -> f (Const m b) #

sequenceA :: Applicative f => Const m (f a) -> f (Const m a) #

mapM :: Monad m0 => (a -> m0 b) -> Const m a -> m0 (Const m b) #

sequence :: Monad m0 => Const m (m0 a) -> m0 (Const m a) #

Eq a => Eq1 (Const a :: Type -> Type)

Since: base-4.9.0.0

Instance details

Defined in Data.Functor.Classes

Methods

liftEq :: (a0 -> b -> Bool) -> Const a a0 -> Const a b -> Bool #

Ord a => Ord1 (Const a :: Type -> Type)

Since: base-4.9.0.0

Instance details

Defined in Data.Functor.Classes

Methods

liftCompare :: (a0 -> b -> Ordering) -> Const a a0 -> Const a b -> Ordering #

Read a => Read1 (Const a :: Type -> Type)

Since: base-4.9.0.0

Instance details

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

Instance details

Defined in Data.Functor.Classes

Methods

liftShowsPrec :: (Int -> a0 -> ShowS) -> ([a0] -> ShowS) -> Int -> Const a a0 -> ShowS #

liftShowList :: (Int -> a0 -> ShowS) -> ([a0] -> ShowS) -> [Const a a0] -> ShowS #

NFData a => NFData1 (Const a :: Type -> Type)

Since: deepseq-1.4.3.0

Instance details

Defined in Control.DeepSeq

Methods

liftRnf :: (a0 -> ()) -> Const a a0 -> () #

Hashable a => Hashable1 (Const a :: Type -> Type) 
Instance details

Defined in Data.Hashable.Class

Methods

liftHashWithSalt :: (Int -> a0 -> Int) -> Int -> Const a a0 -> Int

Bounded a => Bounded (Const a b)

Since: base-4.9.0.0

Instance details

Defined in Data.Functor.Const

Methods

minBound :: Const a b #

maxBound :: Const a b #

Enum a => Enum (Const a b)

Since: base-4.9.0.0

Instance details

Defined in Data.Functor.Const

Methods

succ :: Const a b -> Const a b #

pred :: Const a b -> Const a b #

toEnum :: Int -> 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

Instance details

Defined in Data.Functor.Const

Methods

(==) :: Const a b -> Const a b -> Bool #

(/=) :: Const a b -> Const a b -> Bool #

Floating a => Floating (Const a b)

Since: base-4.9.0.0

Instance details

Defined in Data.Functor.Const

Methods

pi :: Const a b #

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 #

log1pexp :: Const a b -> Const a b #

log1mexp :: Const a b -> Const a b #

Fractional a => Fractional (Const a b)

Since: base-4.9.0.0

Instance details

Defined in Data.Functor.Const

Methods

(/) :: Const a b -> Const a b -> Const a b #

recip :: Const a b -> Const a b #

fromRational :: Rational -> Const a b #

Integral a => Integral (Const a b)

Since: base-4.9.0.0

Instance details

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) #

toInteger :: Const a b -> Integer #

Num a => Num (Const a b)

Since: base-4.9.0.0

Instance details

Defined in Data.Functor.Const

Methods

(+) :: Const a b -> Const a b -> Const a b #

(-) :: Const a b -> Const a b -> Const a b #

(*) :: Const a b -> Const a b -> Const a b #

negate :: Const a b -> Const a b #

abs :: Const a b -> Const a b #

signum :: Const a b -> Const a b #

fromInteger :: Integer -> Const a b #

Ord a => Ord (Const a b)

Since: base-4.9.0.0

Instance details

Defined in Data.Functor.Const

Methods

compare :: Const a b -> Const a b -> Ordering #

(<) :: Const a b -> Const a b -> Bool #

(<=) :: Const a b -> Const a b -> Bool #

(>) :: Const a b -> Const a b -> Bool #

(>=) :: Const a b -> Const a b -> Bool #

max :: Const a b -> Const a b -> Const a b #

min :: Const a b -> Const a b -> Const a b #

Read a => Read (Const a b)

This instance would be equivalent to the derived instances of the Const newtype if the getConst field were removed

Since: base-4.8.0.0

Instance details

Defined in Data.Functor.Const

Real a => Real (Const a b)

Since: base-4.9.0.0

Instance details

Defined in Data.Functor.Const

Methods

toRational :: Const a b -> Rational #

RealFloat a => RealFloat (Const a b)

Since: base-4.9.0.0

Instance details

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 #

isNaN :: Const a b -> Bool #

isInfinite :: Const a b -> Bool #

isDenormalized :: Const a b -> Bool #

isNegativeZero :: Const a b -> Bool #

isIEEE :: Const a b -> Bool #

atan2 :: Const a b -> Const a b -> Const a b #

RealFrac a => RealFrac (Const a b)

Since: base-4.9.0.0

Instance details

Defined in Data.Functor.Const

Methods

properFraction :: Integral b0 => Const a b -> (b0, Const a b) #

truncate :: Integral b0 => Const a b -> b0 #

round :: Integral b0 => Const a b -> b0 #

ceiling :: Integral b0 => Const a b -> b0 #

floor :: Integral b0 => Const a b -> b0 #

Show a => Show (Const a b)

This instance would be equivalent to the derived instances of the Const newtype if the getConst field were removed

Since: base-4.8.0.0

Instance details

Defined in Data.Functor.Const

Methods

showsPrec :: Int -> Const a b -> ShowS #

show :: Const a b -> String #

showList :: [Const a b] -> ShowS #

Ix a => Ix (Const a b)

Since: base-4.9.0.0

Instance details

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

Instance details

Defined in Data.String

Methods

fromString :: String -> Const a b #

Generic (Const a b)

Since: base-4.9.0.0

Instance details

Defined in Data.Functor.Const

Associated Types

type Rep (Const a b) :: Type -> Type #

Methods

from :: Const a b -> Rep (Const a b) x #

to :: Rep (Const a b) x -> Const a b #

Semigroup a => Semigroup (Const a b)

Since: base-4.9.0.0

Instance details

Defined in Data.Functor.Const

Methods

(<>) :: Const a b -> Const a b -> Const a b #

sconcat :: NonEmpty (Const a b) -> Const a b #

stimes :: Integral b0 => b0 -> Const a b -> Const a b #

Monoid a => Monoid (Const a b)

Since: base-4.9.0.0

Instance details

Defined in Data.Functor.Const

Methods

mempty :: Const a b #

mappend :: Const a b -> Const a b -> Const a b #

mconcat :: [Const a b] -> Const a b #

Storable a => Storable (Const a b)

Since: base-4.9.0.0

Instance details

Defined in Data.Functor.Const

Methods

sizeOf :: Const a b -> Int #

alignment :: Const a b -> Int #

peekElemOff :: Ptr (Const a b) -> Int -> IO (Const a b) #

pokeElemOff :: Ptr (Const a b) -> Int -> Const a b -> IO () #

peekByteOff :: Ptr b0 -> Int -> IO (Const a b) #

pokeByteOff :: Ptr b0 -> Int -> Const a b -> IO () #

peek :: Ptr (Const a b) -> IO (Const a b) #

poke :: Ptr (Const a b) -> Const a b -> IO () #

Bits a => Bits (Const a b)

Since: base-4.9.0.0

Instance details

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 #

zeroBits :: Const a b #

bit :: 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 #

bitSize :: Const a b -> 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 #

rotateR :: Const a b -> Int -> Const a b #

popCount :: Const a b -> Int #

FiniteBits a => FiniteBits (Const a b)

Since: base-4.9.0.0

Instance details

Defined in Data.Functor.Const

NFData a => NFData (Const a b)

Since: deepseq-1.4.0.0

Instance details

Defined in Control.DeepSeq

Methods

rnf :: Const a b -> () #

FromField a => FromField (Const a b) 
Instance details

Defined in Data.Csv.Conversion

Methods

parseField :: Field -> Parser (Const a b) #

ToField a => ToField (Const a b) 
Instance details

Defined in Data.Csv.Conversion

Methods

toField :: Const a b -> Field #

Unbox a => Unbox (Const a b) 
Instance details

Defined in Data.Vector.Unboxed.Base

Hashable a => Hashable (Const a b) 
Instance details

Defined in Data.Hashable.Class

Methods

hashWithSalt :: Int -> Const a b -> Int

hash :: Const a b -> Int

Prim a => Prim (Const a b) 
Instance details

Defined in Data.Primitive.Types

Methods

sizeOf# :: Const a b -> Int#

alignment# :: Const a b -> Int#

indexByteArray# :: ByteArray# -> Int# -> Const a b

readByteArray# :: MutableByteArray# s -> Int# -> State# s -> (# State# s, Const a b #)

writeByteArray# :: MutableByteArray# s -> Int# -> Const a b -> State# s -> State# s

setByteArray# :: MutableByteArray# s -> Int# -> Int# -> Const a b -> State# s -> State# s

indexOffAddr# :: Addr# -> Int# -> Const a b

readOffAddr# :: Addr# -> Int# -> State# s -> (# State# s, Const a b #)

writeOffAddr# :: Addr# -> Int# -> Const a b -> State# s -> State# s

setOffAddr# :: Addr# -> Int# -> Int# -> Const a b -> State# s -> State# s

type Rep1 (Const a :: k -> Type) 
Instance details

Defined in Data.Functor.Const

type Rep1 (Const a :: k -> Type) = D1 ('MetaData "Const" "Data.Functor.Const" "base" 'True) (C1 ('MetaCons "Const" 'PrefixI 'True) (S1 ('MetaSel ('Just "getConst") 'NoSourceUnpackedness 'NoSourceStrictness 'DecidedLazy) (Rec0 a)))
newtype MVector s (Const a b) 
Instance details

Defined in Data.Vector.Unboxed.Base

newtype MVector s (Const a b) = MV_Const (MVector s a)
type Rep (Const a b) 
Instance details

Defined in Data.Functor.Const

type Rep (Const a b) = D1 ('MetaData "Const" "Data.Functor.Const" "base" 'True) (C1 ('MetaCons "Const" 'PrefixI 'True) (S1 ('MetaSel ('Just "getConst") 'NoSourceUnpackedness 'NoSourceStrictness 'DecidedLazy) (Rec0 a)))
newtype Vector (Const a b) 
Instance details

Defined in Data.Vector.Unboxed.Base

newtype Vector (Const a b) = V_Const (Vector a)

(<$>) :: 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

Expand

Convert from a Maybe Int to a Maybe String using show:

>>> show <$> Nothing
Nothing
>>> show <$> Just 3
Just "3"

Convert from an Either Int Int to an Either Int String using show:

>>> show <$> Left 17
Left 17
>>> show <$> Right 17
Right "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)

liftA3 :: Applicative f => (a -> b -> c -> d) -> f a -> f b -> f c -> f d #

Lift a ternary function to actions.

Using ApplicativeDo: 'liftA3 f as bs cs' can be understood as the do expression

do a <- as
   b <- bs
   c <- cs
   pure (f a b c)

liftA :: Applicative f => (a -> b) -> f a -> f b #

Lift a function to actions. This function may be used as a value for fmap in a Functor instance.

| Using ApplicativeDo: 'liftA f as' can be understood as the do expression

do a <- as
   pure (f a)

with an inferred Functor constraint, weaker than Applicative.

(<**>) :: Applicative f => f a -> f (a -> b) -> f b infixl 4 #

A variant of <*> with the arguments reversed.

Using ApplicativeDo: 'as <**> fs' can be understood as the do expression

do a <- as
   f <- fs
   pure (f a)

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:

Minimal complete definition

empty, (<|>)

Methods

(<|>) :: f a -> f a -> f a infixl 3 #

An associative binary operation

some :: f a -> f [a] #

One or more.

many :: f a -> f [a] #

Zero or more.

Instances

Instances details
Alternative []

Since: base-2.1

Instance details

Defined in GHC.Base

Methods

empty :: [a] #

(<|>) :: [a] -> [a] -> [a] #

some :: [a] -> [[a]] #

many :: [a] -> [[a]] #

Alternative Maybe

Since: base-2.1

Instance details

Defined in GHC.Base

Methods

empty :: Maybe a #

(<|>) :: Maybe a -> Maybe a -> Maybe a #

some :: Maybe a -> Maybe [a] #

many :: Maybe a -> Maybe [a] #

Alternative IO

Since: base-4.9.0.0

Instance details

Defined in GHC.Base

Methods

empty :: IO a #

(<|>) :: IO a -> IO a -> IO a #

some :: IO a -> IO [a] #

many :: IO a -> IO [a] #

Alternative Option

Since: base-4.9.0.0

Instance details

Defined in Data.Semigroup

Methods

empty :: Option a #

(<|>) :: Option a -> Option a -> Option a #

some :: Option a -> Option [a] #

many :: Option a -> Option [a] #

Alternative ZipList

Since: base-4.11.0.0

Instance details

Defined in Control.Applicative

Methods

empty :: ZipList a #

(<|>) :: ZipList a -> ZipList a -> ZipList a #

some :: ZipList a -> ZipList [a] #

many :: ZipList a -> ZipList [a] #

Alternative STM

Since: base-4.8.0.0

Instance details

Defined in GHC.Conc.Sync

Methods

empty :: STM a #

(<|>) :: STM a -> STM a -> STM a #

some :: STM a -> STM [a] #

many :: STM a -> STM [a] #

Alternative ReadP

Since: base-4.6.0.0

Instance details

Defined in Text.ParserCombinators.ReadP

Methods

empty :: ReadP a #

(<|>) :: ReadP a -> ReadP a -> ReadP a #

some :: ReadP a -> ReadP [a] #

many :: ReadP a -> ReadP [a] #

Alternative Seq

Since: containers-0.5.4

Instance details

Defined in Data.Sequence.Internal

Methods

empty :: Seq a #

(<|>) :: Seq a -> Seq a -> Seq a #

some :: Seq a -> Seq [a] #

many :: Seq a -> Seq [a] #

Alternative P

Since: base-4.5.0.0

Instance details

Defined in Text.ParserCombinators.ReadP

Methods

empty :: P a #

(<|>) :: P a -> P a -> P a #

some :: P a -> P [a] #

many :: P a -> P [a] #

Alternative Parser 
Instance details

Defined in Data.Csv.Conversion

Methods

empty :: Parser a #

(<|>) :: Parser a -> Parser a -> Parser a #

some :: Parser a -> Parser [a] #

many :: Parser a -> Parser [a] #

Alternative Vector 
Instance details

Defined in Data.Vector

Methods

empty :: Vector a #

(<|>) :: Vector a -> Vector a -> Vector a #

some :: Vector a -> Vector [a] #

many :: Vector a -> Vector [a] #

Alternative Array 
Instance details

Defined in Data.Primitive.Array

Methods

empty :: Array a #

(<|>) :: Array a -> Array a -> Array a #

some :: Array a -> Array [a] #

many :: Array a -> Array [a] #

Alternative Parser 
Instance details

Defined in Options.Applicative.Types

Methods

empty :: Parser a #

(<|>) :: Parser a -> Parser a -> Parser a #

some :: Parser a -> Parser [a] #

many :: Parser a -> Parser [a] #

Alternative ReadM 
Instance details

Defined in Options.Applicative.Types

Methods

empty :: ReadM a #

(<|>) :: ReadM a -> ReadM a -> ReadM a #

some :: ReadM a -> ReadM [a] #

many :: ReadM a -> ReadM [a] #

Alternative SmallArray 
Instance details

Defined in Data.Primitive.SmallArray

Methods

empty :: SmallArray a #

(<|>) :: SmallArray a -> SmallArray a -> SmallArray a #

some :: SmallArray a -> SmallArray [a] #

many :: SmallArray a -> SmallArray [a] #

Alternative Root 
Instance details

Defined in Numeric.RootFinding

Methods

empty :: Root a #

(<|>) :: Root a -> Root a -> Root a #

some :: Root a -> Root [a] #

many :: Root a -> Root [a] #

Alternative (U1 :: Type -> Type)

Since: base-4.9.0.0

Instance details

Defined in GHC.Generics

Methods

empty :: U1 a #

(<|>) :: U1 a -> U1 a -> U1 a #

some :: U1 a -> U1 [a] #

many :: U1 a -> U1 [a] #

MonadPlus m => Alternative (WrappedMonad m)

Since: base-2.1

Instance details

Defined in Control.Applicative

Methods

empty :: WrappedMonad m a #

(<|>) :: WrappedMonad m a -> WrappedMonad m a -> WrappedMonad m a #

some :: WrappedMonad m a -> WrappedMonad m [a] #

many :: WrappedMonad m a -> WrappedMonad m [a] #

ArrowPlus a => Alternative (ArrowMonad a)

Since: base-4.6.0.0

Instance details

Defined in Control.Arrow

Methods

empty :: ArrowMonad a a0 #

(<|>) :: ArrowMonad a a0 -> ArrowMonad a a0 -> ArrowMonad a a0 #

some :: ArrowMonad a a0 -> ArrowMonad a [a0] #

many :: ArrowMonad a a0 -> ArrowMonad a [a0] #

Alternative (Proxy :: Type -> Type)

Since: base-4.9.0.0

Instance details

Defined in Data.Proxy

Methods

empty :: Proxy a #

(<|>) :: Proxy a -> Proxy a -> Proxy a #

some :: Proxy a -> Proxy [a] #

many :: Proxy a -> Proxy [a] #

(Functor m, Monad m) => Alternative (MaybeT m) 
Instance details

Defined in Control.Monad.Trans.Maybe

Methods

empty :: MaybeT m a #

(<|>) :: MaybeT m a -> MaybeT m a -> MaybeT m a #

some :: MaybeT m a -> MaybeT m [a] #

many :: MaybeT m a -> MaybeT m [a] #

Applicative m => Alternative (ListT m) 
Instance details

Defined in Control.Monad.Trans.List

Methods

empty :: ListT m a #

(<|>) :: ListT m a -> ListT m a -> ListT m a #

some :: ListT m a -> ListT m [a] #

many :: ListT m a -> ListT m [a] #

Alternative (Parser i) 
Instance details

Defined in Data.Attoparsec.Internal.Types

Methods

empty :: Parser i a #

(<|>) :: Parser i a -> Parser i a -> Parser i a #

some :: Parser i a -> Parser i [a] #

many :: Parser i a -> Parser i [a] #

Alternative f => Alternative (Rec1 f)

Since: base-4.9.0.0

Instance details

Defined in GHC.Generics

Methods

empty :: Rec1 f a #

(<|>) :: Rec1 f a -> Rec1 f a -> Rec1 f a #

some :: Rec1 f a -> Rec1 f [a] #

many :: Rec1 f a -> Rec1 f [a] #

(ArrowZero a, ArrowPlus a) => Alternative (WrappedArrow a b)

Since: base-2.1

Instance details

Defined in Control.Applicative

Methods

empty :: WrappedArrow a b a0 #

(<|>) :: WrappedArrow a b a0 -> WrappedArrow a b a0 -> WrappedArrow a b a0 #

some :: WrappedArrow a b a0 -> WrappedArrow a b [a0] #

many :: WrappedArrow a b a0 -> WrappedArrow a b [a0] #

Alternative m => Alternative (Kleisli m a)

Since: base-4.14.0.0

Instance details

Defined in Control.Arrow

Methods

empty :: Kleisli m a a0 #

(<|>) :: Kleisli m a a0 -> Kleisli m a a0 -> Kleisli m a a0 #

some :: Kleisli m a a0 -> Kleisli m a [a0] #

many :: Kleisli m a a0 -> Kleisli m a [a0] #

Alternative f => Alternative (Ap f)

Since: base-4.12.0.0

Instance details

Defined in Data.Monoid

Methods

empty :: Ap f a #

(<|>) :: Ap f a -> Ap f a -> Ap f a #

some :: Ap f a -> Ap f [a] #

many :: Ap f a -> Ap f [a] #

Alternative f => Alternative (Alt f)

Since: base-4.8.0.0

Instance details

Defined in Data.Semigroup.Internal

Methods

empty :: Alt f a #

(<|>) :: Alt f a -> Alt f a -> Alt f a #

some :: Alt f a -> Alt f [a] #

many :: Alt f a -> Alt f [a] #

(Functor m, Monad m, Monoid e) => Alternative (ExceptT e m) 
Instance details

Defined in Control.Monad.Trans.Except

Methods

empty :: ExceptT e m a #

(<|>) :: ExceptT e m a -> ExceptT e m a -> ExceptT e m a #

some :: ExceptT e m a -> ExceptT e m [a] #

many :: ExceptT e m a -> ExceptT e m [a] #

Alternative m => Alternative (IdentityT m) 
Instance details

Defined in Control.Monad.Trans.Identity

Methods

empty :: IdentityT m a #

(<|>) :: IdentityT m a -> IdentityT m a -> IdentityT m a #

some :: IdentityT m a -> IdentityT m [a] #

many :: IdentityT m a -> IdentityT m [a] #

(Functor m, Monad m, Error e) => Alternative (ErrorT e m) 
Instance details

Defined in Control.Monad.Trans.Error

Methods

empty :: ErrorT e m a #

(<|>) :: ErrorT e m a -> ErrorT e m a -> ErrorT e m a #

some :: ErrorT e m a -> ErrorT e m [a] #

many :: ErrorT e m a -> ErrorT e m [a] #

Alternative m => Alternative (ReaderT r m) 
Instance details

Defined in Control.Monad.Trans.Reader

Methods

empty :: ReaderT r m a #

(<|>) :: ReaderT r m a -> ReaderT r m a -> ReaderT r m a #

some :: ReaderT r m a -> ReaderT r m [a] #

many :: ReaderT r m a -> ReaderT r m [a] #

(Functor m, MonadPlus m) => Alternative (StateT s m) 
Instance details

Defined in Control.Monad.Trans.State.Lazy

Methods

empty :: StateT s m a #

(<|>) :: StateT s m a -> StateT s m a -> StateT s m a #

some :: StateT s m a -> StateT s m [a] #

many :: StateT s m a -> StateT s m [a] #

(Functor m, MonadPlus m) => Alternative (StateT s m) 
Instance details

Defined in Control.Monad.Trans.State.Strict

Methods

empty :: StateT s m a #

(<|>) :: StateT s m a -> StateT s m a -> StateT s m a #

some :: StateT s m a -> StateT s m [a] #

many :: StateT s m a -> StateT s m [a] #

(Monoid w, Alternative m) => Alternative (WriterT w m) 
Instance details

Defined in Control.Monad.Trans.Writer.Lazy

Methods

empty :: WriterT w m a #

(<|>) :: WriterT w m a -> WriterT w m a -> WriterT w m a #

some :: WriterT w m a -> WriterT w m [a] #

many :: WriterT w m a -> WriterT w m [a] #

(Monoid w, Alternative m) => Alternative (WriterT w m) 
Instance details

Defined in Control.Monad.Trans.Writer.Strict

Methods

empty :: WriterT w m a #

(<|>) :: WriterT w m a -> WriterT w m a -> WriterT w m a #

some :: WriterT w m a -> WriterT w m [a] #

many :: WriterT w m a -> WriterT w m [a] #

(Monoid w, Functor m, MonadPlus m) => Alternative (AccumT w m) 
Instance details

Defined in Control.Monad.Trans.Accum

Methods

empty :: AccumT w m a #

(<|>) :: AccumT w m a -> AccumT w m a -> AccumT w m a #

some :: AccumT w m a -> AccumT w m [a] #

many :: AccumT w m a -> AccumT w m [a] #

(Functor m, MonadPlus m) => Alternative (WriterT w m) 
Instance details

Defined in Control.Monad.Trans.Writer.CPS

Methods

empty :: WriterT w m a #

(<|>) :: WriterT w m a -> WriterT w m a -> WriterT w m a #

some :: WriterT w m a -> WriterT w m [a] #

many :: WriterT w m a -> WriterT w m [a] #

(Functor m, MonadPlus m) => Alternative (SelectT r m) 
Instance details

Defined in Control.Monad.Trans.Select

Methods

empty :: SelectT r m a #

(<|>) :: SelectT r m a -> SelectT r m a -> SelectT r m a #

some :: SelectT r m a -> SelectT r m [a] #

many :: SelectT r m a -> SelectT r m [a] #

(Alternative f, Alternative g) => Alternative (f :*: g)

Since: base-4.9.0.0

Instance details

Defined in GHC.Generics

Methods

empty :: (f :*: g) a #

(<|>) :: (f :*: g) a -> (f :*: g) a -> (f :*: g) a #

some :: (f :*: g) a -> (f :*: g) [a] #

many :: (f :*: g) a -> (f :*: g) [a] #

(Alternative f, Alternative g) => Alternative (Product f g)

Since: base-4.9.0.0

Instance details

Defined in Data.Functor.Product

Methods

empty :: Product f g a #

(<|>) :: Product f g a -> Product f g a -> Product f g a #

some :: Product f g a -> Product f g [a] #

many :: Product f g a -> Product f g [a] #

Alternative f => Alternative (M1 i c f)

Since: base-4.9.0.0

Instance details

Defined in GHC.Generics

Methods

empty :: M1 i c f a #

(<|>) :: M1 i c f a -> M1 i c f a -> M1 i c f a #

some :: M1 i c f a -> M1 i c f [a] #

many :: M1 i c f a -> M1 i c f [a] #

(Alternative f, Applicative g) => Alternative (f :.: g)

Since: base-4.9.0.0

Instance details

Defined in GHC.Generics

Methods

empty :: (f :.: g) a #

(<|>) :: (f :.: g) a -> (f :.: g) a -> (f :.: g) a #

some :: (f :.: g) a -> (f :.: g) [a] #

many :: (f :.: g) a -> (f :.: g) [a] #

(Alternative f, Applicative g) => Alternative (Compose f g)

Since: base-4.9.0.0

Instance details

Defined in Data.Functor.Compose

Methods

empty :: Compose f g a #

(<|>) :: Compose f g a -> Compose f g a -> Compose f g a #

some :: Compose f g a -> Compose f g [a] #

many :: Compose f g a -> Compose f g [a] #

(Monoid w, Functor m, MonadPlus m) => Alternative (RWST r w s m) 
Instance details

Defined in Control.Monad.Trans.RWS.Strict

Methods

empty :: RWST r w s m a #

(<|>) :: RWST r w s m a -> RWST r w s m a -> RWST r w s m a #

some :: RWST r w s m a -> RWST r w s m [a] #

many :: RWST r w s m a -> RWST r w s m [a] #

(Monoid w, Functor m, MonadPlus m) => Alternative (RWST r w s m) 
Instance details

Defined in Control.Monad.Trans.RWS.Lazy

Methods

empty :: RWST r w s m a #

(<|>) :: RWST r w s m a -> RWST r w s m a -> RWST r w s m a #

some :: RWST r w s m a -> RWST r w s m [a] #

many :: RWST r w s m a -> RWST r w s m [a] #

(Functor m, MonadPlus m) => Alternative (RWST r w s m) 
Instance details

Defined in Control.Monad.Trans.RWS.CPS

Methods

empty :: RWST r w s m a #

(<|>) :: RWST r w s m a -> RWST r w s m a -> RWST r w s m a #

some :: RWST r w s m a -> RWST r w s m [a] #

many :: RWST r w s m a -> RWST r w s m [a] #

guard :: Alternative f => Bool -> f () #

Conditional failure of Alternative computations. Defined by

guard True  = pure ()
guard False = empty

Examples

Expand

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) otherwise. For example:

>>> 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)

class Applicative m => Monad (m :: Type -> Type) where #

The Monad class defines the basic operations over a monad, a concept from a branch of mathematics known as category theory. From the perspective of a Haskell programmer, however, it is best to think of a monad as an abstract datatype of actions. Haskell's do expressions provide a convenient syntax for writing monadic expressions.

Instances of Monad should satisfy the following:

Left identity
return a >>= k = k a
Right identity
m >>= return = m
Associativity
m >>= (\x -> k x >>= h) = (m >>= k) >>= h

Furthermore, the Monad and Applicative operations should relate as follows:

The above laws imply:

and that pure and (<*>) satisfy the applicative functor laws.

The instances of Monad for lists, Maybe and IO defined in the Prelude satisfy these laws.

Minimal complete definition

(>>=)

Methods

(>>=) :: m a -> (a -> m b) -> m b infixl 1 #

Sequentially compose two actions, passing any value produced by the first as an argument to the second.

'as >>= bs' can be understood as the do expression

do a <- as
   bs a

(>>) :: m a -> m b -> m b infixl 1 #

Sequentially compose two actions, discarding any value produced by the first, like sequencing operators (such as the semicolon) in imperative languages.

'as >> bs' can be understood as the do expression

do as
   bs

return :: a -> m a #

Inject a value into the monadic type.

Instances

Instances details
Monad []

Since: base-2.1

Instance details

Defined in GHC.Base

Methods

(>>=) :: [a] -> (a -> [b]) -> [b] #

(>>) :: [a] -> [b] -> [b] #

return :: a -> [a] #

Monad Maybe

Since: base-2.1

Instance details

Defined in GHC.Base

Methods

(>>=) :: Maybe a -> (a -> Maybe b) -> Maybe b #

(>>) :: Maybe a -> Maybe b -> Maybe b #

return :: a -> Maybe a #

Monad IO

Since: base-2.1

Instance details

Defined in GHC.Base

Methods

(>>=) :: IO a -> (a -> IO b) -> IO b #

(>>) :: IO a -> IO b -> IO b #

return :: a -> IO a #

Monad Par1

Since: base-4.9.0.0

Instance details

Defined in GHC.Generics

Methods

(>>=) :: Par1 a -> (a -> Par1 b) -> Par1 b #

(>>) :: Par1 a -> Par1 b -> Par1 b #

return :: a -> Par1 a #

Monad Q 
Instance details

Defined in Language.Haskell.TH.Syntax

Methods

(>>=) :: Q a -> (a -> Q b) -> Q b #

(>>) :: Q a -> Q b -> Q b #

return :: a -> Q a #

Monad Complex

Since: base-4.9.0.0

Instance details

Defined in Data.Complex

Methods

(>>=) :: Complex a -> (a -> Complex b) -> Complex b #

(>>) :: Complex a -> Complex b -> Complex b #

return :: a -> Complex a #

Monad Min

Since: base-4.9.0.0

Instance details

Defined in Data.Semigroup

Methods

(>>=) :: Min a -> (a -> Min b) -> Min b #

(>>) :: Min a -> Min b -> Min b #

return :: a -> Min a #

Monad Max

Since: base-4.9.0.0

Instance details

Defined in Data.Semigroup

Methods

(>>=) :: Max a -> (a -> Max b) -> Max b #

(>>) :: Max a -> Max b -> Max b #

return :: a -> Max a #

Monad First

Since: base-4.9.0.0

Instance details

Defined in Data.Semigroup

Methods

(>>=) :: First a -> (a -> First b) -> First b #

(>>) :: First a -> First b -> First b #

return :: a -> First a #

Monad Last

Since: base-4.9.0.0

Instance details

Defined in Data.Semigroup

Methods

(>>=) :: Last a -> (a -> Last b) -> Last b #

(>>) :: Last a -> Last b -> Last b #

return :: a -> Last a #

Monad Option

Since: base-4.9.0.0

Instance details

Defined in Data.Semigroup

Methods

(>>=) :: Option a -> (a -> Option b) -> Option b #

(>>) :: Option a -> Option b -> Option b #

return :: a -> Option a #

Monad Identity

Since: base-4.8.0.0

Instance details

Defined in Data.Functor.Identity

Methods

(>>=) :: Identity a -> (a -> Identity b) -> Identity b #

(>>) :: Identity a -> Identity b -> Identity b #

return :: a -> Identity a #

Monad STM

Since: base-4.3.0.0

Instance details

Defined in GHC.Conc.Sync

Methods

(>>=) :: STM a -> (a -> STM b) -> STM b #

(>>) :: STM a -> STM b -> STM b #

return :: a -> STM a #

Monad First

Since: base-4.8.0.0

Instance details

Defined in Data.Monoid

Methods

(>>=) :: First a -> (a -> First b) -> First b #

(>>) :: First a -> First b -> First b #

return :: a -> First a #

Monad Last

Since: base-4.8.0.0

Instance details

Defined in Data.Monoid

Methods

(>>=) :: Last a -> (a -> Last b) -> Last b #

(>>) :: Last a -> Last b -> Last b #

return :: a -> Last a #

Monad Dual

Since: base-4.8.0.0

Instance details

Defined in Data.Semigroup.Internal

Methods

(>>=) :: Dual a -> (a -> Dual b) -> Dual b #

(>>) :: Dual a -> Dual b -> Dual b #

return :: a -> Dual a #

Monad Sum

Since: base-4.8.0.0

Instance details

Defined in Data.Semigroup.Internal

Methods

(>>=) :: Sum a -> (a -> Sum b) -> Sum b #

(>>) :: Sum a -> Sum b -> Sum b #

return :: a -> Sum a #

Monad Product

Since: base-4.8.0.0

Instance details

Defined in Data.Semigroup.Internal

Methods

(>>=) :: Product a -> (a -> Product b) -> Product b #

(>>) :: Product a -> Product b -> Product b #

return :: a -> Product a #

Monad Down

Since: base-4.11.0.0

Instance details

Defined in Data.Ord

Methods

(>>=) :: Down a -> (a -> Down b) -> Down b #

(>>) :: Down a -> Down b -> Down b #

return :: a -> Down a #

Monad ReadP

Since: base-2.1

Instance details

Defined in Text.ParserCombinators.ReadP

Methods

(>>=) :: ReadP a -> (a -> ReadP b) -> ReadP b #

(>>) :: ReadP a -> ReadP b -> ReadP b #

return :: a -> ReadP a #

Monad NonEmpty

Since: base-4.9.0.0

Instance details

Defined in GHC.Base

Methods

(>>=) :: NonEmpty a -> (a -> NonEmpty b) -> NonEmpty b #

(>>) :: NonEmpty a -> NonEmpty b -> NonEmpty b #

return :: a -> NonEmpty a #

Monad Tree 
Instance details

Defined in Data.Tree

Methods

(>>=) :: Tree a -> (a -> Tree b) -> Tree b #

(>>) :: Tree a -> Tree b -> Tree b #

return :: a -> Tree a #

Monad Seq 
Instance details

Defined in Data.Sequence.Internal

Methods

(>>=) :: Seq a -> (a -> Seq b) -> Seq b #

(>>) :: Seq a -> Seq b -> Seq b #

return :: a -> Seq a #

Monad P

Since: base-2.1

Instance details

Defined in Text.ParserCombinators.ReadP

Methods

(>>=) :: P a -> (a -> P b) -> P b #

(>>) :: P a -> P b -> P b #

return :: a -> P a #

Monad Parser 
Instance details

Defined in Data.Csv.Conversion

Methods

(>>=) :: Parser a -> (a -> Parser b) -> Parser b #

(>>) :: Parser a -> Parser b -> Parser b #

return :: a -> Parser a #

Monad Vector 
Instance details

Defined in Data.Vector

Methods

(>>=) :: Vector a -> (a -> Vector b) -> Vector b #

(>>) :: Vector a -> Vector b -> Vector b #

return :: a -> Vector a #

Monad Id 
Instance details

Defined in Data.Vector.Fusion.Util

Methods

(>>=) :: Id a -> (a -> Id b) -> Id b #

(>>) :: Id a -> Id b -> Id b #

return :: a -> Id a #

Monad Array 
Instance details

Defined in Data.Primitive.Array

Methods

(>>=) :: Array a -> (a -> Array b) -> Array b #

(>>) :: Array a -> Array b -> Array b #

return :: a -> Array a #

Monad Box 
Instance details

Defined in Data.Vector.Fusion.Util

Methods

(>>=) :: Box a -> (a -> Box b) -> Box b #

(>>) :: Box a -> Box b -> Box b #

return :: a -> Box a #

Monad ParserResult 
Instance details

Defined in Options.Applicative.Types

Methods

(>>=) :: ParserResult a -> (a -> ParserResult b) -> ParserResult b #

(>>) :: ParserResult a -> ParserResult b -> ParserResult b #

return :: a -> ParserResult a #

Monad ReadM 
Instance details

Defined in Options.Applicative.Types

Methods

(>>=) :: ReadM a -> (a -> ReadM b) -> ReadM b #

(>>) :: ReadM a -> ReadM b -> ReadM b #

return :: a -> ReadM a #

Monad SmallArray 
Instance details

Defined in Data.Primitive.SmallArray

Methods

(>>=) :: SmallArray a -> (a -> SmallArray b) -> SmallArray b #

(>>) :: SmallArray a -> SmallArray b -> SmallArray b #

return :: a -> SmallArray a #

Monad Root 
Instance details

Defined in Numeric.RootFinding

Methods

(>>=) :: Root a -> (a -> Root b) -> Root b #

(>>) :: Root a -> Root b -> Root b #

return :: a -> Root a #

Monad ParserM 
Instance details

Defined in Options.Applicative.Types

Methods

(>>=) :: ParserM a -> (a -> ParserM b) -> ParserM b #

(>>) :: ParserM a -> ParserM b -> ParserM b #

return :: a -> ParserM a #

Monad (Either e)

Since: base-4.4.0.0

Instance details

Defined in Data.Either

Methods

(>>=) :: Either e a -> (a -> Either e b) -> Either e b #

(>>) :: Either e a -> Either e b -> Either e b #

return :: a -> Either e a #

Monad (U1 :: Type -> Type)

Since: base-4.9.0.0

Instance details

Defined in GHC.Generics

Methods

(>>=) :: U1 a -> (a -> U1 b) -> U1 b #

(>>) :: U1 a -> U1 b -> U1 b #

return :: a -> U1 a #

Monoid a => Monad ((,) a)

Since: base-4.9.0.0

Instance details

Defined in GHC.Base

Methods

(>>=) :: (a, a0) -> (a0 -> (a, b)) -> (a, b) #

(>>) :: (a, a0) -> (a, b) -> (a, b) #

return :: a0 -> (a, a0) #

Monad (ST s)

Since: base-2.1

Instance details

Defined in GHC.ST

Methods

(>>=) :: ST s a -> (a -> ST s b) -> ST s b #

(>>) :: ST s a -> ST s b -> ST s b #

return :: a -> ST s a #

Monad (ST s)

Since: base-2.1

Instance details

Defined in Control.Monad.ST.Lazy.Imp

Methods

(>>=) :: ST s a -> (a -> ST s b) -> ST s b #

(>>) :: ST s a -> ST s b -> ST s b #

return :: a -> ST s a #

Monad m => Monad (WrappedMonad m)

Since: base-4.7.0.0

Instance details

Defined in Control.Applicative

Methods

(>>=) :: WrappedMonad m a -> (a -> WrappedMonad m b) -> WrappedMonad m b #

(>>) :: WrappedMonad m a -> WrappedMonad m b -> WrappedMonad m b #

return :: a -> WrappedMonad m a #

ArrowApply a => Monad (ArrowMonad a)

Since: base-2.1

Instance details

Defined in Control.Arrow

Methods

(>>=) :: ArrowMonad a a0 -> (a0 -> ArrowMonad a b) -> ArrowMonad a b #

(>>) :: ArrowMonad a a0 -> ArrowMonad a b -> ArrowMonad a b #

return :: a0 -> ArrowMonad a a0 #

Monad (Proxy :: Type -> Type)

Since: base-4.7.0.0

Instance details

Defined in Data.Proxy

Methods

(>>=) :: Proxy a -> (a -> Proxy b) -> Proxy b #

(>>) :: Proxy a -> Proxy b -> Proxy b #

return :: a -> Proxy a #

Monad m => Monad (MaybeT m) 
Instance details

Defined in Control.Monad.Trans.Maybe

Methods

(>>=) :: MaybeT m a -> (a -> MaybeT m b) -> MaybeT m b #

(>>) :: MaybeT m a -> MaybeT m b -> MaybeT m b #

return :: a -> MaybeT m a #

Monad m => Monad (ListT m) 
Instance details

Defined in Control.Monad.Trans.List

Methods

(>>=) :: ListT m a -> (a -> ListT m b) -> ListT m b #

(>>) :: ListT m a -> ListT m b -> ListT m b #

return :: a -> ListT m a #

Monad (Parser i) 
Instance details

Defined in Data.Attoparsec.Internal.Types

Methods

(>>=) :: Parser i a -> (a -> Parser i b) -> Parser i b #

(>>) :: Parser i a -> Parser i b -> Parser i b #

return :: a -> Parser i a #

Representable f => Monad (Co f) 
Instance details

Defined in Data.Functor.Rep

Methods

(>>=) :: Co f a -> (a -> Co f b) -> Co f b #

(>>) :: Co f a -> Co f b -> Co f b #

return :: a -> Co f a #

Alternative f => Monad (Cofree f) 
Instance details

Defined in Control.Comonad.Cofree

Methods

(>>=) :: Cofree f a -> (a -> Cofree f b) -> Cofree f b #

(>>) :: Cofree f a -> Cofree f b -> Cofree f b #

return :: a -> Cofree f a #

Monad f => Monad (Rec1 f)

Since: base-4.9.0.0

Instance details

Defined in GHC.Generics

Methods

(>>=) :: Rec1 f a -> (a -> Rec1 f b) -> Rec1 f b #

(>>) :: Rec1 f a -> Rec1 f b -> Rec1 f b #

return :: a -> Rec1 f a #

(Monoid a, Monoid b) => Monad ((,,) a b)

Since: base-4.14.0.0

Instance details

Defined in GHC.Base

Methods

(>>=) :: (a, b, a0) -> (a0 -> (a, b, b0)) -> (a, b, b0) #

(>>) :: (a, b, a0) -> (a, b, b0) -> (a, b, b0) #

return :: a0 -> (a, b, a0) #

Monad m => Monad (Kleisli m a)

Since: base-4.14.0.0

Instance details

Defined in Control.Arrow

Methods

(>>=) :: Kleisli m a a0 -> (a0 -> Kleisli m a b) -> Kleisli m a b #

(>>) :: Kleisli m a a0 -> Kleisli m a b -> Kleisli m a b #

return :: a0 -> Kleisli m a a0 #

Monad f => Monad (Ap f)

Since: base-4.12.0.0

Instance details

Defined in Data.Monoid

Methods

(>>=) :: Ap f a -> (a -> Ap f b) -> Ap f b #

(>>) :: Ap f a -> Ap f b -> Ap f b #

return :: a -> Ap f a #

Monad f => Monad (Alt f)

Since: base-4.8.0.0

Instance details

Defined in Data.Semigroup.Internal

Methods

(>>=) :: Alt f a -> (a -> Alt f b) -> Alt f b #

(>>) :: Alt f a -> Alt f b -> Alt f b #

return :: a -> Alt f a #

(Applicative f, Monad f) => Monad (WhenMissing f x)

Equivalent to ReaderT k (ReaderT x (MaybeT f)).

Since: containers-0.5.9

Instance details

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 #

Monad m => Monad (ExceptT e m) 
Instance details

Defined in Control.Monad.Trans.Except

Methods

(>>=) :: ExceptT e m a -> (a -> ExceptT e m b) -> ExceptT e m b #

(>>) :: ExceptT e m a -> ExceptT e m b -> ExceptT e m b #

return :: a -> ExceptT e m a #

Monad m => Monad (IdentityT m) 
Instance details

Defined in Control.Monad.Trans.Identity

Methods

(>>=) :: IdentityT m a -> (a -> IdentityT m b) -> IdentityT m b #

(>>) :: IdentityT m a -> IdentityT m b -> IdentityT m b #

return :: a -> IdentityT m a #

(Monad m, Error e) => Monad (ErrorT e m) 
Instance details

Defined in Control.Monad.Trans.Error

Methods

(>>=) :: ErrorT e m a -> (a -> ErrorT e m b) -> ErrorT e m b #

(>>) :: ErrorT e m a -> ErrorT e m b -> ErrorT e m b #

return :: a -> ErrorT e m a #

Monad m => Monad (ReaderT r m) 
Instance details

Defined in Control.Monad.Trans.Reader

Methods

(>>=) :: ReaderT r m a -> (a -> ReaderT r m b) -> ReaderT r m b #

(>>) :: ReaderT r m a -> ReaderT r m b -> ReaderT r m b #

return :: a -> ReaderT r m a #

Monad m => Monad (StateT s m) 
Instance details

Defined in Control.Monad.Trans.State.Lazy

Methods

(>>=) :: StateT s m a -> (a -> StateT s m b) -> StateT s m b #

(>>) :: StateT s m a -> StateT s m b -> StateT s m b #

return :: a -> StateT s m a #

Monad m => Monad (StateT s m) 
Instance details

Defined in Control.Monad.Trans.State.Strict

Methods

(>>=) :: StateT s m a -> (a -> StateT s m b) -> StateT s m b #

(>>) :: StateT s m a -> StateT s m b -> StateT s m b #

return :: a -> StateT s m a #

(Monoid w, Monad m) => Monad (WriterT w m) 
Instance details

Defined in Control.Monad.Trans.Writer.Lazy

Methods

(>>=) :: WriterT w m a -> (a -> WriterT w m b) -> WriterT w m b #

(>>) :: WriterT w m a -> WriterT w m b -> WriterT w m b #

return :: a -> WriterT w m a #

(Monoid w, Monad m) => Monad (WriterT w m) 
Instance details

Defined in Control.Monad.Trans.Writer.Strict

Methods

(>>=) :: WriterT w m a -> (a -> WriterT w m b) -> WriterT w m b #

(>>) :: WriterT w m a -> WriterT w m b -> WriterT w m b #

return :: a -> WriterT w m a #

(Monoid w, Functor m, Monad m) => Monad (AccumT w m) 
Instance details

Defined in Control.Monad.Trans.Accum

Methods

(>>=) :: AccumT w m a -> (a -> AccumT w m b) -> AccumT w m b #

(>>) :: AccumT w m a -> AccumT w m b -> AccumT w m b #

return :: a -> AccumT w m a #

Monad m => Monad (WriterT w m) 
Instance details

Defined in Control.Monad.Trans.Writer.CPS

Methods

(>>=) :: WriterT w m a -> (a -> WriterT w m b) -> WriterT w m b #

(>>) :: WriterT w m a -> WriterT w m b -> WriterT w m b #

return :: a -> WriterT w m a #

Monad m => Monad (SelectT r m) 
Instance details

Defined in Control.Monad.Trans.Select

Methods

(>>=) :: SelectT r m a -> (a -> SelectT r m b) -> SelectT r m b #

(>>) :: SelectT r m a -> SelectT r m b -> SelectT r m b #

return :: a -> SelectT r m a #

Monad (Tagged s) 
Instance details

Defined in Data.Tagged

Methods

(>>=) :: Tagged s a -> (a -> Tagged s b) -> Tagged s b #

(>>) :: Tagged s a -> Tagged s b -> Tagged s b #

return :: a -> Tagged s a #

Monad ((->) r :: Type -> Type)

Since: base-2.1

Instance details

Defined in GHC.Base

Methods

(>>=) :: (r -> a) -> (a -> r -> b) -> r -> b #

(>>) :: (r -> a) -> (r -> b) -> r -> b #

return :: a -> r -> a #

(Monad f, Monad g) => Monad (f :*: g)

Since: base-4.9.0.0

Instance details

Defined in GHC.Generics

Methods

(>>=) :: (f :*: g) a -> (a -> (f :*: g) b) -> (f :*: g) b #

(>>) :: (f :*: g) a -> (f :*: g) b -> (f :*: g) b #

return :: a -> (f :*: g) a #

(Monoid a, Monoid b, Monoid c) => Monad ((,,,) a b c)

Since: base-4.14.0.0

Instance details

Defined in GHC.Base

Methods

(>>=) :: (a, b, c, a0) -> (a0 -> (a, b, c, b0)) -> (a, b, c, b0) #

(>>) :: (a, b, c, a0) -> (a, b, c, b0) -> (a, b, c, b0) #

return :: a0 -> (a, b, c, a0) #

(Monad f, Monad g) => Monad (Product f g)

Since: base-4.9.0.0

Instance details

Defined in Data.Functor.Product

Methods

(>>=) :: Product f g a -> (a -> Product f g b) -> Product f g b #

(>>) :: Product f g a -> Product f g b -> Product f g b #

return :: a -> Product f g a #

(Monad f, Applicative f) => Monad (WhenMatched f x y)

Equivalent to ReaderT Key (ReaderT x (ReaderT y (MaybeT f)))

Since: containers-0.5.9

Instance details

Defined in Data.IntMap.Internal

Methods

(>>=) :: WhenMatched f x y a -> (a -> WhenMatched f x y b) -> WhenMatched f x y b #

(>>) :: WhenMatched f x y a -> WhenMatched f x y b -> WhenMatched f x y b #

return :: a -> WhenMatched f x y a #

(Applicative f, Monad f) => Monad (WhenMissing f k x)

Equivalent to ReaderT k (ReaderT x (MaybeT f)) .

Since: containers-0.5.9

Instance details

Defined in Data.Map.Internal

Methods

(>>=) :: WhenMissing f k x a -> (a -> WhenMissing f k x b) -> WhenMissing f k x b #

(>>) :: WhenMissing f k x a -> WhenMissing f k x b -> WhenMissing f k x b #

return :: a -> WhenMissing f k x a #

Monad (ContT r m) 
Instance details

Defined in Control.Monad.Trans.Cont

Methods

(>>=) :: ContT r m a -> (a -> ContT r m b) -> ContT r m b #

(>>) :: ContT r m a -> ContT r m b -> ContT r m b #

return :: a -> ContT r m a #

Monad f => Monad (M1 i c f)

Since: base-4.9.0.0

Instance details

Defined in GHC.Generics

Methods

(>>=) :: M1 i c f a -> (a -> M1 i c f b) -> M1 i c f b #

(>>) :: M1 i c f a -> M1 i c f b -> M1 i c f b #

return :: a -> M1 i c f a #

(Monad f, Applicative f) => Monad (WhenMatched f k x y)

Equivalent to ReaderT k (ReaderT x (ReaderT y (MaybeT f)))

Since: containers-0.5.9

Instance details

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 #

(Monoid w, Monad m) => Monad (RWST r w s m) 
Instance details

Defined in Control.Monad.Trans.RWS.Strict

Methods

(>>=) :: RWST r w s m a -> (a -> RWST r w s m b) -> RWST r w s m b #

(>>) :: RWST r w s m a -> RWST r w s m b -> RWST r w s m b #

return :: a -> RWST r w s m a #

(Monoid w, Monad m) => Monad (RWST r w s m) 
Instance details

Defined in Control.Monad.Trans.RWS.Lazy

Methods

(>>=) :: RWST r w s m a -> (a -> RWST r w s m b) -> RWST r w s m b #

(>>) :: RWST r w s m a -> RWST r w s m b -> RWST r w s m b #

return :: a -> RWST r w s m a #

Monad m => Monad (RWST r w s m) 
Instance details

Defined in Control.Monad.Trans.RWS.CPS

Methods

(>>=) :: RWST r w s m a -> (a -> RWST r w s m b) -> RWST r w s m b #

(>>) :: RWST r w s m a -> RWST r w s m b -> RWST r w s m b #

return :: a -> RWST r w s m a #

class Functor (f :: Type -> Type) where #

A type f is a Functor if it provides a function fmap which, given any types a and b lets you apply any function from (a -> b) to turn an f a into an f b, preserving the structure of f. Furthermore f needs to adhere to the following:

Identity
fmap id == id
Composition
fmap (f . g) == fmap f . fmap g

Note, that the second law follows from the free theorem of the type fmap and the first law, so you need only check that the former condition holds.

Minimal complete definition

fmap

Methods

fmap :: (a -> b) -> f a -> f b #

Using ApplicativeDo: 'fmap f as' can be understood as the do expression

do a <- as
   pure (f a)

with an inferred Functor constraint.

(<$) :: a -> f b -> f a infixl 4 #

Replace all locations in the input with the same value. The default definition is fmap . const, but this may be overridden with a more efficient version.

Using ApplicativeDo: 'a <$ bs' can be understood as the do expression

do bs
   pure a

with an inferred Functor constraint.

Instances

Instances details
Functor []

Since: base-2.1

Instance details

Defined in GHC.Base

Methods

fmap :: (a -> b) -> [a] -> [b] #

(<$) :: a -> [b] -> [a] #

Functor Maybe

Since: base-2.1

Instance details

Defined in GHC.Base

Methods

fmap :: (a -> b) -> Maybe a -> Maybe b #

(<$) :: a -> Maybe b -> Maybe a #

Functor IO

Since: base-2.1

Instance details

Defined in GHC.Base

Methods

fmap :: (a -> b) -> IO a -> IO b #

(<$) :: a -> IO b -> IO a #

Functor Par1

Since: base-4.9.0.0

Instance details

Defined in GHC.Generics

Methods

fmap :: (a -> b) -> Par1 a -> Par1 b #

(<$) :: a -> Par1 b -> Par1 a #

Functor Q 
Instance details

Defined in Language.Haskell.TH.Syntax

Methods

fmap :: (a -> b) -> Q a -> Q b #

(<$) :: a -> Q b -> Q a #

Functor Complex

Since: base-4.9.0.0

Instance details

Defined in Data.Complex

Methods

fmap :: (a -> b) -> Complex a -> Complex b #

(<$) :: a -> Complex b -> Complex a #

Functor Min

Since: base-4.9.0.0

Instance details

Defined in Data.Semigroup

Methods

fmap :: (a -> b) -> Min a -> Min b #

(<$) :: a -> Min b -> Min a #

Functor Max

Since: base-4.9.0.0

Instance details

Defined in Data.Semigroup

Methods

fmap :: (a -> b) -> Max a -> Max b #

(<$) :: a -> Max b -> Max a #

Functor First

Since: base-4.9.0.0

Instance details

Defined in Data.Semigroup

Methods

fmap :: (a -> b) -> First a -> First b #

(<$) :: a -> First b -> First a #

Functor Last

Since: base-4.9.0.0

Instance details

Defined in Data.Semigroup

Methods

fmap :: (a -> b) -> Last a -> Last b #

(<$) :: a -> Last b -> Last a #

Functor Option

Since: base-4.9.0.0

Instance details

Defined in Data.Semigroup

Methods

fmap :: (a -> b) -> Option a -> Option b #

(<$) :: a -> Option b -> Option a #

Functor ZipList

Since: base-2.1

Instance details

Defined in Control.Applicative

Methods

fmap :: (a -> b) -> ZipList a -> ZipList b #

(<$) :: a -> ZipList b -> ZipList a #

Functor Identity

Since: base-4.8.0.0

Instance details

Defined in Data.Functor.Identity

Methods

fmap :: (a -> b) -> Identity a -> Identity b #

(<$) :: a -> Identity b -> Identity a #

Functor STM

Since: base-4.3.0.0

Instance details

Defined in GHC.Conc.Sync

Methods

fmap :: (a -> b) -> STM a -> STM b #

(<$) :: a -> STM b -> STM a #

Functor First

Since: base-4.8.0.0

Instance details

Defined in Data.Monoid

Methods

fmap :: (a -> b) -> First a -> First b #

(<$) :: a -> First b -> First a #

Functor Last

Since: base-4.8.0.0

Instance details

Defined in Data.Monoid

Methods

fmap :: (a -> b) -> Last a -> Last b #

(<$) :: a -> Last b -> Last a #

Functor Dual

Since: base-4.8.0.0

Instance details

Defined in Data.Semigroup.Internal

Methods

fmap :: (a -> b) -> Dual a -> Dual b #

(<$) :: a -> Dual b -> Dual a #

Functor Sum

Since: base-4.8.0.0

Instance details

Defined in Data.Semigroup.Internal

Methods

fmap :: (a -> b) -> Sum a -> Sum b #

(<$) :: a -> Sum b -> Sum a #

Functor Product

Since: base-4.8.0.0

Instance details

Defined in Data.Semigroup.Internal

Methods

fmap :: (a -> b) -> Product a -> Product b #

(<$) :: a -> Product b -> Product a #

Functor Down

Since: base-4.11.0.0

Instance details

Defined in Data.Ord

Methods

fmap :: (a -> b) -> Down a -> Down b #

(<$) :: a -> Down b -> Down a #

Functor ReadP

Since: base-2.1

Instance details

Defined in Text.ParserCombinators.ReadP

Methods

fmap :: (a -> b) -> ReadP a -> ReadP b #

(<$) :: a -> ReadP b -> ReadP a #

Functor NonEmpty

Since: base-4.9.0.0

Instance details

Defined in GHC.Base

Methods

fmap :: (a -> b) -> NonEmpty a -> NonEmpty b #

(<$) :: a -> NonEmpty b -> NonEmpty a #

Functor IntMap 
Instance details

Defined in Data.IntMap.Internal

Methods

fmap :: (a -> b) -> IntMap a -> IntMap b #

(<$) :: a -> IntMap b -> IntMap a #

Functor Tree 
Instance details

Defined in Data.Tree

Methods

fmap :: (a -> b) -> Tree a -> Tree b #

(<$) :: a -> Tree b -> Tree a #

Functor Seq 
Instance details

Defined in Data.Sequence.Internal

Methods

fmap :: (a -> b) -> Seq a -> Seq b #

(<$) :: a -> Seq b -> Seq a #

Functor FingerTree 
Instance details

Defined in Data.Sequence.Internal

Methods

fmap :: (a -> b) -> FingerTree a -> FingerTree b #

(<$) :: a -> FingerTree b -> FingerTree a #

Functor Digit 
Instance details

Defined in Data.Sequence.Internal

Methods

fmap :: (a -> b) -> Digit a -> Digit b #

(<$) :: a -> Digit b -> Digit a #

Functor Node 
Instance details

Defined in Data.Sequence.Internal

Methods

fmap :: (a -> b) -> Node a -> Node b #

(<$) :: a -> Node b -> Node a #

Functor Elem 
Instance details

Defined in Data.Sequence.Internal

Methods

fmap :: (a -> b) -> Elem a -> Elem b #

(<$) :: a -> Elem b -> Elem a #

Functor ViewL 
Instance details

Defined in Data.Sequence.Internal

Methods

fmap :: (a -> b) -> ViewL a -> ViewL b #

(<$) :: a -> ViewL b -> ViewL a #

Functor ViewR 
Instance details

Defined in Data.Sequence.Internal

Methods

fmap :: (a -> b) -> ViewR a -> ViewR b #

(<$) :: a -> ViewR b -> ViewR a #

Functor Doc 
Instance details

Defined in Text.PrettyPrint.Annotated.HughesPJ

Methods

fmap :: (a -> b) -> Doc a -> Doc b #

(<$) :: a -> Doc b -> Doc a #

Functor AnnotDetails 
Instance details

Defined in Text.PrettyPrint.Annotated.HughesPJ

Methods

fmap :: (a -> b) -> AnnotDetails a -> AnnotDetails b #

(<$) :: a -> AnnotDetails b -> AnnotDetails a #

Functor Span 
Instance details

Defined in Text.PrettyPrint.Annotated.HughesPJ

Methods

fmap :: (a -> b) -> Span a -> Span b #

(<$) :: a -> Span b -> Span a #

Functor P

Since: base-4.8.0.0

Instance details

Defined in Text.ParserCombinators.ReadP

Methods

fmap :: (a -> b) -> P a -> P b #

(<$) :: a -> P b -> P a #

Functor Only 
Instance details

Defined in Data.Tuple.Only

Methods

fmap :: (a -> b) -> Only a -> Only b #

(<$) :: a -> Only b -> Only a #

Functor Parser 
Instance details

Defined in Data.Csv.Conversion

Methods

fmap :: (a -> b) -> Parser a -> Parser b #

(<$) :: a -> Parser b -> Parser a #

Functor Vector 
Instance details

Defined in Data.Vector

Methods

fmap :: (a -> b) -> Vector a -> Vector b #

(<$) :: a -> Vector b -> Vector a #

Functor Id 
Instance details

Defined in Data.Vector.Fusion.Util

Methods

fmap :: (a -> b) -> Id a -> Id b #

(<$) :: a -> Id b -> Id a #

Functor Array 
Instance details

Defined in Data.Primitive.Array

Methods

fmap :: (a -> b) -> Array a -> Array b #

(<$) :: a -> Array b -> Array a #

Functor Box 
Instance details

Defined in Data.Vector.Fusion.Util

Methods

fmap :: (a -> b) -> Box a -> Box b #

(<$) :: a -> Box b -> Box a #

Functor Parser 
Instance details

Defined in Options.Applicative.Types

Methods

fmap :: (a -> b) -> Parser a -> Parser b #

(<$) :: a -> Parser b -> Parser a #

Functor ParserFailure 
Instance details

Defined in Options.Applicative.Types

Methods

fmap :: (a -> b) -> ParserFailure a -> ParserFailure b #

(<$) :: a -> ParserFailure b -> ParserFailure a #

Functor ParserInfo 
Instance details

Defined in Options.Applicative.Types

Methods

fmap :: (a -> b) -> ParserInfo a -> ParserInfo b #

(<$) :: a -> ParserInfo b -> ParserInfo a #

Functor ParserResult 
Instance details

Defined in Options.Applicative.Types

Methods

fmap :: (a -> b) -> ParserResult a -> ParserResult b #

(<$) :: a -> ParserResult b -> ParserResult a #

Functor ReadM 
Instance details

Defined in Options.Applicative.Types

Methods

fmap :: (a -> b) -> ReadM a -> ReadM b #

(<$) :: a -> ReadM b -> ReadM a #

Functor SmallArray 
Instance details

Defined in Data.Primitive.SmallArray

Methods

fmap :: (a -> b) -> SmallArray a -> SmallArray b #

(<$) :: a -> SmallArray b -> SmallArray a #

Functor Root 
Instance details

Defined in Numeric.RootFinding

Methods

fmap :: (a -> b) -> Root a -> Root b #

(<$) :: a -> Root b -> Root a #

Functor OptReader 
Instance details

Defined in Options.Applicative.Types

Methods

fmap :: (a -> b) -> OptReader a -> OptReader b #

(<$) :: a -> OptReader b -> OptReader a #

Functor Option 
Instance details

Defined in Options.Applicative.Types

Methods

fmap :: (a -> b) -> Option a -> Option b #

(<$) :: a -> Option b -> Option a #

Functor CReader 
Instance details

Defined in Options.Applicative.Types

Methods

fmap :: (a -> b) -> CReader a -> CReader b #

(<$) :: a -> CReader b -> CReader a #

Functor ParserM 
Instance details

Defined in Options.Applicative.Types

Methods

fmap :: (a -> b) -> ParserM a -> ParserM b #

(<$) :: a -> ParserM b -> ParserM a #

Functor (Either a)

Since: base-3.0

Instance details

Defined in Data.Either

Methods

fmap :: (a0 -> b) -> Either a a0 -> Either a b #

(<$) :: a0 -> Either a b -> Either a a0 #

Functor (V1 :: Type -> Type)

Since: base-4.9.0.0

Instance details

Defined in GHC.Generics

Methods

fmap :: (a -> b) -> V1 a -> V1 b #

(<$) :: a -> V1 b -> V1 a #

Functor (U1 :: Type -> Type)

Since: base-4.9.0.0

Instance details

Defined in GHC.Generics

Methods

fmap :: (a -> b) -> U1 a -> U1 b #

(<$) :: a -> U1 b -> U1 a #

Functor ((,) a)

Since: base-2.1

Instance details

Defined in GHC.Base

Methods

fmap :: (a0 -> b) -> (a, a0) -> (a, b) #

(<$) :: a0 -> (a, b) -> (a, a0) #

Functor (ST s)

Since: base-2.1

Instance details

Defined in GHC.ST

Methods

fmap :: (a -> b) -> ST s a -> ST s b #

(<$) :: a -> ST s b -> ST s a #

Functor (Array i)

Since: base-2.1

Instance details

Defined in GHC.Arr

Methods

fmap :: (a -> b) -> Array i a -> Array i b #

(<$) :: a -> Array i b -> Array i a #

Functor (Arg a)

Since: base-4.9.0.0

Instance details

Defined in Data.Semigroup

Methods

fmap :: (a0 -> b) -> Arg a a0 -> Arg a b #

(<$) :: a0 -> Arg a b -> Arg a a0 #

Functor (ST s)

Since: base-2.1

Instance details

Defined in Control.Monad.ST.Lazy.Imp

Methods

fmap :: (a -> b) -> ST s a -> ST s b #

(<$) :: a -> ST s b -> ST s a #

Monad m => Functor (WrappedMonad m)

Since: base-2.1

Instance details

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

Instance details

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

Instance details

Defined in Data.Proxy

Methods

fmap :: (a -> b) -> Proxy a -> Proxy b #

(<$) :: a -> Proxy b -> Proxy a #

Functor (Map k) 
Instance details

Defined in Data.Map.Internal

Methods

fmap :: (a -> b) -> Map k a -> Map k b #

(<$) :: a -> Map k b -> Map k a #

Functor m => Functor (MaybeT m) 
Instance details

Defined in Control.Monad.Trans.Maybe

Methods

fmap :: (a -> b) -> MaybeT m a -> MaybeT m b #

(<$) :: a -> MaybeT m b -> MaybeT m a #

Functor m => Functor (ListT m) 
Instance details

Defined in Control.Monad.Trans.List

Methods

fmap :: (a -> b) -> ListT m a -> ListT m b #

(<$) :: a -> ListT m b -> ListT m a #

Functor (IResult i) 
Instance details

Defined in Data.Attoparsec.Internal.Types

Methods

fmap :: (a -> b) -> IResult i a -> IResult i b #

(<$) :: a -> IResult i b -> IResult i a #

Functor (Parser i) 
Instance details

Defined in Data.Attoparsec.Internal.Types

Methods

fmap :: (a -> b) -> Parser i a -> Parser i b #

(<$) :: a -> Parser i b -> Parser i a #

Functor (HashMap k) 
Instance details

Defined in Data.HashMap.Internal

Methods

fmap :: (a -> b) -> HashMap k a -> HashMap k b #

(<$) :: a -> HashMap k b -> HashMap k a #

Functor f => Functor (Co f) 
Instance details

Defined in Data.Functor.Rep

Methods

fmap :: (a -> b) -> Co f a -> Co f b #

(<$) :: a -> Co f b -> Co f a #

Functor f => Functor (Cofree f) 
Instance details

Defined in Control.Comonad.Cofree

Methods

fmap :: (a -> b) -> Cofree f a -> Cofree f b #

(<$) :: a -> Cofree f b -> Cofree f a #

Functor f => Functor (Rec1 f)

Since: base-4.9.0.0

Instance details

Defined in GHC.Generics

Methods

fmap :: (a -> b) -> Rec1 f a -> Rec1 f b #

(<$) :: a -> Rec1 f b -> Rec1 f a #

Functor (URec Char :: Type -> Type)

Since: base-4.9.0.0

Instance details

Defined in GHC.Generics

Methods

fmap :: (a -> b) -> URec Char a -> URec Char b #

(<$) :: a -> URec Char b -> URec Char a #

Functor (URec Double :: Type -> Type)

Since: base-4.9.0.0

Instance details

Defined in GHC.Generics

Methods

fmap :: (a -> b) -> URec Double a -> URec Double b #

(<$) :: a -> URec Double b -> URec Double a #

Functor (URec Float :: Type -> Type)

Since: base-4.9.0.0

Instance details

Defined in GHC.Generics

Methods

fmap :: (a -> b) -> URec Float a -> URec Float b #

(<$) :: a -> URec Float b -> URec Float a #

Functor (URec Int :: Type -> Type)

Since: base-4.9.0.0

Instance details

Defined in GHC.Generics

Methods

fmap :: (a -> b) -> URec Int a -> URec Int b #

(<$) :: a -> URec Int b -> URec Int a #

Functor (URec Word :: Type -> Type)

Since: base-4.9.0.0

Instance details

Defined in GHC.Generics

Methods

fmap :: (a -> b) -> URec Word a -> URec Word b #

(<$) :: a -> URec Word b -> URec Word a #

Functor (URec (Ptr ()) :: Type -> Type)

Since: base-4.9.0.0

Instance details

Defined in GHC.Generics

Methods

fmap :: (a -> b) -> URec (Ptr ()) a -> URec (Ptr ()) b #

(<$) :: a -> URec (Ptr ()) b -> URec (Ptr ()) a #

Functor ((,,) a b)

Since: base-4.14.0.0

Instance details

Defined in GHC.Base

Methods

fmap :: (a0 -> b0) -> (a, b, a0) -> (a, b, b0) #

(<$) :: a0 -> (a, b, b0) -> (a, b, a0) #

Arrow a => Functor (WrappedArrow a b)

Since: base-2.1

Instance details

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 m => Functor (Kleisli m a)

Since: base-4.14.0.0

Instance details

Defined in Control.Arrow

Methods

fmap :: (a0 -> b) -> Kleisli m a a0 -> Kleisli m a b #

(<$) :: a0 -> Kleisli m a b -> Kleisli m a a0 #

Functor (Const m :: Type -> Type)

Since: base-2.1

Instance details

Defined in Data.Functor.Const

Methods

fmap :: (a -> b) -> Const m a -> Const m b #

(<$) :: a -> Const m b -> Const m a #

Functor f => Functor (Ap f)

Since: base-4.12.0.0

Instance details

Defined in Data.Monoid

Methods

fmap :: (a -> b) -> Ap f a -> Ap f b #

(<$) :: a -> Ap f b -> Ap f a #

Functor f => Functor (Alt f)

Since: base-4.8.0.0

Instance details

Defined in Data.Semigroup.Internal

Methods

fmap :: (a -> b) -> Alt f a -> Alt f b #

(<$) :: a -> Alt f b -> Alt f a #

(Applicative f, Monad f) => Functor (WhenMissing f x)

Since: containers-0.5.9

Instance details

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 (ExceptT e m) 
Instance details

Defined in Control.Monad.Trans.Except

Methods

fmap :: (a -> b) -> ExceptT e m a -> ExceptT e m b #

(<$) :: a -> ExceptT e m b -> ExceptT e m a #

Functor m => Functor (IdentityT m) 
Instance details

Defined in Control.Monad.Trans.Identity

Methods

fmap :: (a -> b) -> IdentityT m a -> IdentityT m b #

(<$) :: a -> IdentityT m b -> IdentityT m a #

Functor m => Functor (ErrorT e m) 
Instance details

Defined in Control.Monad.Trans.Error

Methods

fmap :: (a -> b) -> ErrorT e m a -> ErrorT e m b #

(<$) :: a -> ErrorT e m b -> ErrorT e m a #

Functor m => Functor (ReaderT r m) 
Instance details

Defined in Control.Monad.Trans.Reader

Methods

fmap :: (a -> b) -> ReaderT r m a -> ReaderT r m b #

(<$) :: a -> ReaderT r m b -> ReaderT r m a #

Functor m => Functor (StateT s m) 
Instance details

Defined in Control.Monad.Trans.State.Lazy

Methods

fmap :: (a -> b) -> StateT s m a -> StateT s m b #

(<$) :: a -> StateT s m b -> StateT s m a #

Functor m => Functor (StateT s m) 
Instance details

Defined in Control.Monad.Trans.State.Strict

Methods

fmap :: (a -> b) -> StateT s m a -> StateT s m b #

(<$) :: a -> StateT s m b -> StateT s m a #

Functor m => Functor (WriterT w m) 
Instance details

Defined in Control.Monad.Trans.Writer.Lazy

Methods

fmap :: (a -> b) -> WriterT w m a -> WriterT w m b #

(<$) :: a -> WriterT w m b -> WriterT w m a #

Functor m => Functor (WriterT w m) 
Instance details

Defined in Control.Monad.Trans.Writer.Strict

Methods

fmap :: (a -> b) -> WriterT w m a -> WriterT w m b #

(<$) :: a -> WriterT w m b -> WriterT w m a #

Functor m => Functor (AccumT w m) 
Instance details

Defined in Control.Monad.Trans.Accum

Methods

fmap :: (a -> b) -> AccumT w m a -> AccumT w m b #

(<$) :: a -> AccumT w m b -> AccumT w m a #

Functor m => Functor (WriterT w m) 
Instance details

Defined in Control.Monad.Trans.Writer.CPS

Methods

fmap :: (a -> b) -> WriterT w m a -> WriterT w m b #

(<$) :: a -> WriterT w m b -> WriterT w m a #

Functor m => Functor (SelectT r m) 
Instance details

Defined in Control.Monad.Trans.Select

Methods

fmap :: (a -> b) -> SelectT r m a -> SelectT r m b #

(<$) :: a -> SelectT r m b -> SelectT r m a #

Monad m => Functor (Bundle m v) 
Instance details

Defined in Data.Vector.Fusion.Bundle.Monadic

Methods

fmap :: (a -> b) -> Bundle m v a -> Bundle m v b #

(<$) :: a -> Bundle m v b -> Bundle m v a #

Functor v => Functor (Vector v n) 
Instance details

Defined in Data.Vector.Generic.Sized.Internal

Methods

fmap :: (a -> b) -> Vector v n a -> Vector v n b #

(<$) :: a -> Vector v n b -> Vector v n a #

Functor (Tagged s) 
Instance details

Defined in Data.Tagged

Methods

fmap :: (a -> b) -> Tagged s a -> Tagged s b #

(<$) :: a -> Tagged s b -> Tagged s a #

Bifunctor p => Functor (Join p) 
Instance details

Defined in Data.Bifunctor.Join

Methods

fmap :: (a -> b) -> Join p a -> Join p b #

(<$) :: a -> Join p b -> Join p a #

Functor ((->) r :: Type -> Type)

Since: base-2.1

Instance details

Defined in GHC.Base

Methods

fmap :: (a -> b) -> (r -> a) -> r -> b #

(<$) :: a -> (r -> b) -> r -> a #

Functor (K1 i c :: Type -> Type)

Since: base-4.9.0.0

Instance details

Defined in GHC.Generics

Methods

fmap :: (a -> b) -> K1 i c a -> K1 i c b #

(<$) :: a -> K1 i c b -> K1 i c a #

(Functor f, Functor g) => Functor (f :+: g)

Since: base-4.9.0.0

Instance details

Defined in GHC.Generics

Methods

fmap :: (a -> b) -> (f :+: g) a -> (f :+: g) b #

(<$) :: a -> (f :+: g) b -> (f :+: g) a #

(Functor f, Functor g) => Functor (f :*: g)

Since: base-4.9.0.0

Instance details

Defined in GHC.Generics

Methods

fmap :: (a -> b) -> (f :*: g) a -> (f :*: g) b #

(<$) :: a -> (f :*: g) b -> (f :*: g) a #

Functor ((,,,) a b c)

Since: base-4.14.0.0

Instance details

Defined in GHC.Base

Methods

fmap :: (a0 -> b0) -> (a, b, c, a0) -> (a, b, c, b0) #

(<$) :: a0 -> (a, b, c, b0) -> (a, b, c, a0) #

(Functor f, Functor g) => Functor (Product f g)

Since: base-4.9.0.0

Instance details

Defined in Data.Functor.Product

Methods

fmap :: (a -> b) -> Product f g a -> Product f g b #

(<$) :: a -> Product f g b -> Product f g a #

(Functor f, Functor g) => Functor (Sum f g)

Since: base-4.9.0.0

Instance details

Defined in Data.Functor.Sum

Methods

fmap :: (a -> b) -> Sum f g a -> Sum f g b #

(<$) :: a -> Sum f g b -> Sum f g a #

Functor f => Functor (WhenMatched f x y)

Since: containers-0.5.9

Instance details

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

Instance details

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 (ContT r m) 
Instance details

Defined in Control.Monad.Trans.Cont

Methods

fmap :: (a -> b) -> ContT r m a -> ContT r m b #

(<$) :: a -> ContT r m b -> ContT r m a #

Functor f => Functor (M1 i c f)

Since: base-4.9.0.0

Instance details

Defined in GHC.Generics

Methods

fmap :: (a -> b) -> M1 i c f a -> M1 i c f b #

(<$) :: a -> M1 i c f b -> M1 i c f a #

(Functor f, Functor g) => Functor (f :.: g)

Since: base-4.9.0.0

Instance details

Defined in GHC.Generics

Methods

fmap :: (a -> b) -> (f :.: g) a -> (f :.: g) b #

(<$) :: a -> (f :.: g) b -> (f :.: g) a #

(Functor f, Functor g) => Functor (Compose f g)

Since: base-4.9.0.0

Instance details

Defined in Data.Functor.Compose

Methods

fmap :: (a -> b) -> Compose f g a -> Compose f g b #

(<$) :: a -> Compose f g b -> Compose f g a #

Functor f => Functor (WhenMatched f k x y)

Since: containers-0.5.9

Instance details

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 m => Functor (RWST r w s m) 
Instance details

Defined in Control.Monad.Trans.RWS.Strict

Methods

fmap :: (a -> b) -> RWST r w s m a -> RWST r w s m b #

(<$) :: a -> RWST r w s m b -> RWST r w s m a #

Functor m => Functor (RWST r w s m) 
Instance details

Defined in Control.Monad.Trans.RWS.Lazy

Methods

fmap :: (a -> b) -> RWST r w s m a -> RWST r w s m b #

(<$) :: a -> RWST r w s m b -> RWST r w s m a #

Functor m => Functor (RWST r w s m) 
Instance details

Defined in Control.Monad.Trans.RWS.CPS

Methods

fmap :: (a -> b) -> RWST r w s m a -> RWST r w s m b #

(<$) :: a -> RWST r w s m b -> RWST r w s m a #

Functor (Clown f a :: Type -> Type) 
Instance details

Defined in Data.Bifunctor.Clown

Methods

fmap :: (a0 -> b) -> Clown f a a0 -> Clown f a b #

(<$) :: a0 -> Clown f a b -> Clown f a a0 #

Bifunctor p => Functor (Flip p a) 
Instance details

Defined in Data.Bifunctor.Flip

Methods

fmap :: (a0 -> b) -> Flip p a a0 -> Flip p a b #

(<$) :: a0 -> Flip p a b -> Flip p a a0 #

Functor g => Functor (Joker g a) 
Instance details

Defined in Data.Bifunctor.Joker

Methods

fmap :: (a0 -> b) -> Joker g a a0 -> Joker g a b #

(<$) :: a0 -> Joker g a b -> Joker g a a0 #

Bifunctor p => Functor (WrappedBifunctor p a) 
Instance details

Defined in Data.Bifunctor.Wrapped

Methods

fmap :: (a0 -> b) -> WrappedBifunctor p a a0 -> WrappedBifunctor p a b #

(<$) :: a0 -> WrappedBifunctor p a b -> WrappedBifunctor p a a0 #

(Functor f, Bifunctor p) => Functor (Tannen f p a) 
Instance details

Defined in Data.Bifunctor.Tannen

Methods

fmap :: (a0 -> b) -> Tannen f p a a0 -> Tannen f p a b #

(<$) :: a0 -> Tannen f p a b -> Tannen f p a a0 #

(Bifunctor p, Functor g) => Functor (Biff p f g a) 
Instance details

Defined in Data.Bifunctor.Biff

Methods

fmap :: (a0 -> b) -> Biff p f g a a0 -> Biff p f g a b #

(<$) :: a0 -> Biff p f g a b -> Biff p f g a a0 #

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

Methods

fail :: String -> m a #

Instances

Instances details
MonadFail []

Since: base-4.9.0.0

Instance details

Defined in Control.Monad.Fail

Methods

fail :: String -> [a] #

MonadFail Maybe

Since: base-4.9.0.0

Instance details

Defined in Control.Monad.Fail

Methods

fail :: String -> Maybe a #

MonadFail IO

Since: base-4.9.0.0

Instance details

Defined in Control.Monad.Fail

Methods

fail :: String -> IO a #

MonadFail Q 
Instance details

Defined in Language.Haskell.TH.Syntax

Methods

fail :: String -> Q a #

MonadFail ReadP

Since: base-4.9.0.0

Instance details

Defined in Text.ParserCombinators.ReadP

Methods

fail :: String -> ReadP a #

MonadFail P

Since: base-4.9.0.0

Instance details

Defined in Text.ParserCombinators.ReadP

Methods

fail :: String -> P a #

MonadFail Parser 
Instance details

Defined in Data.Csv.Conversion

Methods

fail :: String -> Parser a #

MonadFail Vector 
Instance details

Defined in Data.Vector

Methods

fail :: String -> Vector a #

MonadFail Array 
Instance details

Defined in Data.Primitive.Array

Methods

fail :: String -> Array a #

MonadFail ReadM 
Instance details

Defined in Options.Applicative.Types

Methods

fail :: String -> ReadM a #

MonadFail SmallArray 
Instance details

Defined in Data.Primitive.SmallArray

Methods

fail :: String -> SmallArray a #

MonadFail (ST s)

Since: base-4.11.0.0

Instance details

Defined in GHC.ST

Methods

fail :: String -> ST s a #

MonadFail (ST s)

Since: base-4.10

Instance details

Defined in Control.Monad.ST.Lazy.Imp

Methods

fail :: String -> ST s a #

Monad m => MonadFail (MaybeT m) 
Instance details

Defined in Control.Monad.Trans.Maybe

Methods

fail :: String -> MaybeT m a #

Monad m => MonadFail (ListT m) 
Instance details

Defined in Control.Monad.Trans.List

Methods

fail :: String -> ListT m a #

MonadFail (Parser i) 
Instance details

Defined in Data.Attoparsec.Internal.Types

Methods

fail :: String -> Parser i a #

MonadFail f => MonadFail (Ap f)

Since: base-4.12.0.0

Instance details

Defined in Data.Monoid

Methods

fail :: String -> Ap f a #

MonadFail m => MonadFail (ExceptT e m) 
Instance details

Defined in Control.Monad.Trans.Except

Methods

fail :: String -> ExceptT e m a #

MonadFail m => MonadFail (IdentityT m) 
Instance details

Defined in Control.Monad.Trans.Identity

Methods

fail :: String -> IdentityT m a #

(Monad m, Error e) => MonadFail (ErrorT e m) 
Instance details

Defined in Control.Monad.Trans.Error

Methods

fail :: String -> ErrorT e m a #

MonadFail m => MonadFail (ReaderT r m) 
Instance details

Defined in Control.Monad.Trans.Reader

Methods

fail :: String -> ReaderT r m a #

MonadFail m => MonadFail (StateT s m) 
Instance details

Defined in Control.Monad.Trans.State.Lazy

Methods

fail :: String -> StateT s m a #

MonadFail m => MonadFail (StateT s m) 
Instance details

Defined in Control.Monad.Trans.State.Strict

Methods

fail :: String -> StateT s m a #

(Monoid w, MonadFail m) => MonadFail (WriterT w m) 
Instance details

Defined in Control.Monad.Trans.Writer.Lazy

Methods

fail :: String -> WriterT w m a #

(Monoid w, MonadFail m) => MonadFail (WriterT w m) 
Instance details

Defined in Control.Monad.Trans.Writer.Strict

Methods

fail :: String -> WriterT w m a #

(Monoid w, MonadFail m) => MonadFail (AccumT w m) 
Instance details

Defined in Control.Monad.Trans.Accum

Methods

fail :: String -> AccumT w m a #

MonadFail m => MonadFail (WriterT w m) 
Instance details

Defined in Control.Monad.Trans.Writer.CPS

Methods

fail :: String -> WriterT w m a #

MonadFail m => MonadFail (SelectT r m) 
Instance details

Defined in Control.Monad.Trans.Select

Methods

fail :: String -> SelectT r m a #

MonadFail m => MonadFail (ContT r m) 
Instance details

Defined in Control.Monad.Trans.Cont

Methods

fail :: String -> ContT r m a #

(Monoid w, MonadFail m) => MonadFail (RWST r w s m) 
Instance details

Defined in Control.Monad.Trans.RWS.Strict

Methods

fail :: String -> RWST r w s m a #

(Monoid w, MonadFail m) => MonadFail (RWST r w s m) 
Instance details

Defined in Control.Monad.Trans.RWS.Lazy

Methods

fail :: String -> RWST r w s m a #

MonadFail m => MonadFail (RWST r w s m) 
Instance details

Defined in Control.Monad.Trans.RWS.CPS

Methods

fail :: String -> RWST r w s m a #

mapM :: (Traversable t, 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 :: (Traversable t, 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_.

mfilter :: MonadPlus m => (a -> Bool) -> m a -> m a #

Direct MonadPlus equivalent of filter.

Examples

Expand

The filter function is just mfilter specialized to the list monad:

filter = ( mfilter :: (a -> Bool) -> [a] -> [a] )

An example using mfilter with the Maybe monad:

>>> mfilter odd (Just 1)
Just 1
>>> mfilter odd (Just 2)
Nothing

(<$!>) :: Monad m => (a -> b) -> m a -> m b infixl 4 #

Strict version of <$>.

Since: base-4.8.0.0

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 act performs the action n times, gathering the results.

Using ApplicativeDo: 'replicateM 5 as' can be understood as the do expression

do a1 <- as
   a2 <- as
   a3 <- as
   a4 <- as
   a5 <- as
   pure [a1,a2,a3,a4,a5]

Note the Applicative constraint.

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.

Note: foldM is the same as foldlM

zipWithM_ :: Applicative m => (a -> b -> m c) -> [a] -> [b] -> m () #

zipWithM_ is the extension of zipWithM which ignores the final result.

zipWithM :: Applicative m => (a -> b -> m c) -> [a] -> [b] -> m [c] #

The zipWithM function generalizes zipWith to arbitrary applicative functors.

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 monad.

forever :: Applicative f => f a -> f b #

Repeat an action indefinitely.

Using ApplicativeDo: 'forever as' can be understood as the pseudo-do expression

do as
   as
   ..

with as repeating.

Examples

Expand

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 socket
  forkFinally (echo client) (\_ -> hClose client)
  where
    echo :: Handle -> IO ()
    echo client = forever $
      hGetLine client >>= hPutStrLn client

(<=<) :: Monad m => (b -> m c) -> (a -> m b) -> a -> m c infixr 1 #

Right-to-left composition of Kleisli arrows. (>=>), with the arguments flipped.

Note how this operator resembles function composition (.):

(.)   ::            (b ->   c) -> (a ->   b) -> a ->   c
(<=<) :: Monad m => (b -> m c) -> (a -> m b) -> a -> m c

(>=>) :: Monad m => (a -> m b) -> (b -> m c) -> a -> m c infixr 1 #

Left-to-right composition of Kleisli arrows.

'(bs >=> cs) a' can be understood as the do expression

do b <- bs a
   cs b

filterM :: Applicative m => (a -> m Bool) -> [a] -> m [a] #

This generalizes the list-based filter function.

forM :: (Traversable t, Monad m) => t a -> (a -> m b) -> m (t b) #

forM is mapM with its arguments flipped. For a version that ignores the results see forM_.

msum :: (Foldable t, MonadPlus m) => t (m a) -> m a #

The sum of a collection of actions, generalizing concat. As of base 4.8.0.0, msum is just asum, specialized to MonadPlus.

sequence_ :: (Foldable t, Monad m) => t (m a) -> m () #

Evaluate each monadic action in the structure from left to right, and ignore the results. For a version that doesn't ignore the results see sequence.

As of base 4.8.0.0, sequence_ is just sequenceA_, specialized to Monad.

forM_ :: (Foldable t, Monad m) => t a -> (a -> m b) -> m () #

forM_ is mapM_ with its arguments flipped. For a version that doesn't ignore the results see forM.

As of base 4.8.0.0, forM_ is just for_, specialized to Monad.

mapM_ :: (Foldable t, Monad m) => (a -> m b) -> t a -> m () #

Map each element of a structure to a monadic action, evaluate these actions from left to right, and ignore the results. For a version that doesn't ignore the results see mapM.

As of base 4.8.0.0, mapM_ is just traverse_, specialized to Monad.

void :: Functor f => f a -> f () #

void value discards or ignores the result of evaluation, such as the return value of an IO action.

Using ApplicativeDo: 'void as' can be understood as the do expression

do as
   pure ()

with an inferred Functor constraint.

Examples

Expand

Replace the contents of a Maybe Int with unit:

>>> void Nothing
Nothing
>>> void (Just 3)
Just ()

Replace the contents of an Either Int Int with unit, resulting in an Either 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

ap :: Monad m => m (a -> b) -> m a -> m b #

In many situations, the liftM operations can be replaced by uses of ap, which promotes function application.

return f `ap` x1 `ap` ... `ap` xn

is equivalent to

liftMn f x1 x2 ... xn

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

liftM :: Monad m => (a1 -> r) -> m a1 -> m r #

Promote a function to a monad.

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.

class (Alternative m, Monad m) => MonadPlus (m :: Type -> Type) where #

Monads that also support choice and failure.

Minimal complete definition

Nothing

Methods

mzero :: m a #

The identity of mplus. It should also satisfy the equations

mzero >>= f  =  mzero
v >> mzero   =  mzero

The default definition is

mzero = empty

mplus :: m a -> m a -> m a #

An associative operation. The default definition is

mplus = (<|>)

Instances

Instances details
MonadPlus []

Since: base-2.1

Instance details

Defined in GHC.Base

Methods

mzero :: [a] #

mplus :: [a] -> [a] -> [a] #

MonadPlus Maybe

Since: base-2.1

Instance details

Defined in GHC.Base

Methods

mzero :: Maybe a #

mplus :: Maybe a -> Maybe a -> Maybe a #

MonadPlus IO

Since: base-4.9.0.0

Instance details

Defined in GHC.Base

Methods

mzero :: IO a #

mplus :: IO a -> IO a -> IO a #

MonadPlus Option

Since: base-4.9.0.0

Instance details

Defined in Data.Semigroup

Methods

mzero :: Option a #

mplus :: Option a -> Option a -> Option a #

MonadPlus STM

Since: base-4.3.0.0

Instance details

Defined in GHC.Conc.Sync

Methods

mzero :: STM a #

mplus :: STM a -> STM a -> STM a #

MonadPlus ReadP

Since: base-2.1

Instance details

Defined in Text.ParserCombinators.ReadP

Methods

mzero :: ReadP a #

mplus :: ReadP a -> ReadP a -> ReadP a #

MonadPlus Seq 
Instance details

Defined in Data.Sequence.Internal

Methods

mzero :: Seq a #

mplus :: Seq a -> Seq a -> Seq a #

MonadPlus P

Since: base-2.1

Instance details

Defined in Text.ParserCombinators.ReadP

Methods

mzero :: P a #

mplus :: P a -> P a -> P a #

MonadPlus Parser 
Instance details

Defined in Data.Csv.Conversion

Methods

mzero :: Parser a #

mplus :: Parser a -> Parser a -> Parser a #

MonadPlus Vector 
Instance details

Defined in Data.Vector

Methods

mzero :: Vector a #

mplus :: Vector a -> Vector a -> Vector a #

MonadPlus Array 
Instance details

Defined in Data.Primitive.Array

Methods

mzero :: Array a #

mplus :: Array a -> Array a -> Array a #

MonadPlus ReadM 
Instance details

Defined in Options.Applicative.Types

Methods

mzero :: ReadM a #

mplus :: ReadM a -> ReadM a -> ReadM a #

MonadPlus SmallArray 
Instance details

Defined in Data.Primitive.SmallArray

Methods

mzero :: SmallArray a #

mplus :: SmallArray a -> SmallArray a -> SmallArray a #

MonadPlus Root 
Instance details

Defined in Numeric.RootFinding

Methods

mzero :: Root a #

mplus :: Root a -> Root a -> Root a #

MonadPlus (U1 :: Type -> Type)

Since: base-4.9.0.0

Instance details

Defined in GHC.Generics

Methods

mzero :: U1 a #

mplus :: U1 a -> U1 a -> U1 a #

(ArrowApply a, ArrowPlus a) => MonadPlus (ArrowMonad a)

Since: base-4.6.0.0

Instance details

Defined in Control.Arrow

Methods

mzero :: ArrowMonad a a0 #

mplus :: ArrowMonad a a0 -> ArrowMonad a a0 -> ArrowMonad a a0 #

MonadPlus (Proxy :: Type -> Type)

Since: base-4.9.0.0

Instance details

Defined in Data.Proxy

Methods

mzero :: Proxy a #

mplus :: Proxy a -> Proxy a -> Proxy a #

Monad m => MonadPlus (MaybeT m) 
Instance details

Defined in Control.Monad.Trans.Maybe

Methods

mzero :: MaybeT m a #

mplus :: MaybeT m a -> MaybeT m a -> MaybeT m a #

Monad m => MonadPlus (ListT m) 
Instance details

Defined in Control.Monad.Trans.List

Methods

mzero :: ListT m a #

mplus :: ListT m a -> ListT m a -> ListT m a #

MonadPlus (Parser i) 
Instance details

Defined in Data.Attoparsec.Internal.Types

Methods

mzero :: Parser i a #

mplus :: Parser i a -> Parser i a -> Parser i a #

MonadPlus f => MonadPlus (Rec1 f)

Since: base-4.9.0.0

Instance details

Defined in GHC.Generics

Methods

mzero :: Rec1 f a #

mplus :: Rec1 f a -> Rec1 f a -> Rec1 f a #

MonadPlus m => MonadPlus (Kleisli m a)

Since: base-4.14.0.0

Instance details

Defined in Control.Arrow

Methods

mzero :: Kleisli m a a0 #

mplus :: Kleisli m a a0 -> Kleisli m a a0 -> Kleisli m a a0 #

MonadPlus f => MonadPlus (Ap f)

Since: base-4.12.0.0

Instance details

Defined in Data.Monoid

Methods

mzero :: Ap f a #

mplus :: Ap f a -> Ap f a -> Ap f a #

MonadPlus f => MonadPlus (Alt f)

Since: base-4.8.0.0

Instance details

Defined in Data.Semigroup.Internal

Methods

mzero :: Alt f a #

mplus :: Alt f a -> Alt f a -> Alt f a #

(Monad m, Monoid e) => MonadPlus (ExceptT e m) 
Instance details

Defined in Control.Monad.Trans.Except

Methods

mzero :: ExceptT e m a #

mplus :: ExceptT e m a -> ExceptT e m a -> ExceptT e m a #

MonadPlus m => MonadPlus (IdentityT m) 
Instance details

Defined in Control.Monad.Trans.Identity

Methods

mzero :: IdentityT m a #

mplus :: IdentityT m a -> IdentityT m a -> IdentityT m a #

(Monad m, Error e) => MonadPlus (ErrorT e m) 
Instance details

Defined in Control.Monad.Trans.Error

Methods

mzero :: ErrorT e m a #

mplus :: ErrorT e m a -> ErrorT e m a -> ErrorT e m a #

MonadPlus m => MonadPlus (ReaderT r m) 
Instance details

Defined in Control.Monad.Trans.Reader

Methods

mzero :: ReaderT r m a #

mplus :: ReaderT r m a -> ReaderT r m a -> ReaderT r m a #

MonadPlus m => MonadPlus (StateT s m) 
Instance details

Defined in Control.Monad.Trans.State.Lazy

Methods

mzero :: StateT s m a #

mplus :: StateT s m a -> StateT s m a -> StateT s m a #

MonadPlus m => MonadPlus (StateT s m) 
Instance details

Defined in Control.Monad.Trans.State.Strict

Methods

mzero :: StateT s m a #

mplus :: StateT s m a -> StateT s m a -> StateT s m a #

(Monoid w, MonadPlus m) => MonadPlus (WriterT w m) 
Instance details

Defined in Control.Monad.Trans.Writer.Lazy

Methods

mzero :: WriterT w m a #

mplus :: WriterT w m a -> WriterT w m a -> WriterT w m a #

(Monoid w, MonadPlus m) => MonadPlus (WriterT w m) 
Instance details

Defined in Control.Monad.Trans.Writer.Strict

Methods

mzero :: WriterT w m a #

mplus :: WriterT w m a -> WriterT w m a -> WriterT w m a #

(Monoid w, Functor m, MonadPlus m) => MonadPlus (AccumT w m) 
Instance details

Defined in Control.Monad.Trans.Accum

Methods

mzero :: AccumT w m a #

mplus :: AccumT w m a -> AccumT w m a -> AccumT w m a #

(Functor m, MonadPlus m) => MonadPlus (WriterT w m) 
Instance details

Defined in Control.Monad.Trans.Writer.CPS

Methods

mzero :: WriterT w m a #

mplus :: WriterT w m a -> WriterT w m a -> WriterT w m a #

MonadPlus m => MonadPlus (SelectT r m) 
Instance details

Defined in Control.Monad.Trans.Select

Methods

mzero :: SelectT r m a #

mplus :: SelectT r m a -> SelectT r m a -> SelectT r m a #

(MonadPlus f, MonadPlus g) => MonadPlus (f :*: g)

Since: base-4.9.0.0

Instance details

Defined in GHC.Generics

Methods

mzero :: (f :*: g) a #

mplus :: (f :*: g) a -> (f :*: g) a -> (f :*: g) a #

(MonadPlus f, MonadPlus g) => MonadPlus (Product f g)

Since: base-4.9.0.0

Instance details

Defined in Data.Functor.Product

Methods

mzero :: Product f g a #

mplus :: Product f g a -> Product f g a -> Product f g a #

MonadPlus f => MonadPlus (M1 i c f)

Since: base-4.9.0.0

Instance details

Defined in GHC.Generics

Methods

mzero :: M1 i c f a #

mplus :: M1 i c f a -> M1 i c f a -> M1 i c f a #

(Monoid w, MonadPlus m) => MonadPlus (RWST r w s m) 
Instance details

Defined in Control.Monad.Trans.RWS.Strict

Methods

mzero :: RWST r w s m a #

mplus :: RWST r w s m a -> RWST r w s m a -> RWST r w s m a #

(Monoid w, MonadPlus m) => MonadPlus (RWST r w s m) 
Instance details

Defined in Control.Monad.Trans.RWS.Lazy

Methods

mzero :: RWST r w s m a #

mplus :: RWST r w s m a -> RWST r w s m a -> RWST r w s m a #

(Functor m, MonadPlus m) => MonadPlus (RWST r w s m) 
Instance details

Defined in Control.Monad.Trans.RWS.CPS

Methods

mzero :: RWST r w s m a #

mplus :: RWST r w s m a -> RWST r w s m a -> RWST r w s m a #

data RealWorld #

RealWorld is deeply magical. It is primitive, but it is not unlifted (hence ptrArg). We never manipulate values of type RealWorld; it's only used in the type system, to parameterise State#.

type family PrimState (m :: Type -> Type) #

Instances

Instances details
type PrimState IO 
Instance details

Defined in Control.Monad.Primitive

type PrimState (ST s) 
Instance details

Defined in Control.Monad.Primitive

type PrimState (ST s) = s
type PrimState (ST s) 
Instance details

Defined in Control.Monad.Primitive

type PrimState (ST s) = s
type PrimState (MaybeT m) 
Instance details

Defined in Control.Monad.Primitive

type PrimState (ListT m) 
Instance details

Defined in Control.Monad.Primitive

type PrimState (ExceptT e m) 
Instance details

Defined in Control.Monad.Primitive

type PrimState (ExceptT e m) = PrimState m
type PrimState (IdentityT m) 
Instance details

Defined in Control.Monad.Primitive

type PrimState (ErrorT e m) 
Instance details

Defined in Control.Monad.Primitive

type PrimState (ErrorT e m) = PrimState m
type PrimState (ReaderT r m) 
Instance details

Defined in Control.Monad.Primitive

type PrimState (ReaderT r m) = PrimState m
type PrimState (StateT s m) 
Instance details

Defined in Control.Monad.Primitive

type PrimState (StateT s m) = PrimState m
type PrimState (StateT s m) 
Instance details

Defined in Control.Monad.Primitive

type PrimState (StateT s m) = PrimState m
type PrimState (WriterT w m) 
Instance details

Defined in Control.Monad.Primitive

type PrimState (WriterT w m) = PrimState m
type PrimState (WriterT w m) 
Instance details

Defined in Control.Monad.Primitive

type PrimState (WriterT w m) = PrimState m
type PrimState (AccumT w m) 
Instance details

Defined in Control.Monad.Primitive

type PrimState (AccumT w m) = PrimState m
type PrimState (WriterT w m) 
Instance details

Defined in Control.Monad.Primitive

type PrimState (WriterT w m) = PrimState m
type PrimState (SelectT r m) 
Instance details

Defined in Control.Monad.Primitive

type PrimState (SelectT r m) = PrimState m
type PrimState (ContT r m) 
Instance details

Defined in Control.Monad.Primitive

type PrimState (ContT r m) = PrimState m
type PrimState (RWST r w s m) 
Instance details

Defined in Control.Monad.Primitive

type PrimState (RWST r w s m) = PrimState m
type PrimState (RWST r w s m) 
Instance details

Defined in Control.Monad.Primitive

type PrimState (RWST r w s m) = PrimState m
type PrimState (RWST r w s m) 
Instance details

Defined in Control.Monad.Primitive

type PrimState (RWST r w s m) = PrimState m

class Monad m => PrimMonad (m :: Type -> Type) where #

Associated Types

type PrimState (m :: Type -> Type) #

Methods

primitive :: (State# (PrimState m) -> (# State# (PrimState m), a #)) -> m a #

Instances

Instances details
PrimMonad IO 
Instance details

Defined in Control.Monad.Primitive

Associated Types

type PrimState IO #

Methods

primitive :: (State# (PrimState IO) -> (# State# (PrimState IO), a #)) -> IO a #

PrimMonad (ST s) 
Instance details

Defined in Control.Monad.Primitive

Associated Types

type PrimState (ST s) #

Methods

primitive :: (State# (PrimState (ST s)) -> (# State# (PrimState (ST s)), a #)) -> ST s a #

PrimMonad (ST s) 
Instance details

Defined in Control.Monad.Primitive

Associated Types

type PrimState (ST s) #

Methods

primitive :: (State# (PrimState (ST s)) -> (# State# (PrimState (ST s)), a #)) -> ST s a #

PrimMonad m => PrimMonad (MaybeT m) 
Instance details

Defined in Control.Monad.Primitive

Associated Types

type PrimState (MaybeT m) #

Methods

primitive :: (State# (PrimState (MaybeT m)) -> (# State# (PrimState (MaybeT m)), a #)) -> MaybeT m a #

PrimMonad m => PrimMonad (ListT m) 
Instance details

Defined in Control.Monad.Primitive

Associated Types

type PrimState (ListT m) #

Methods

primitive :: (State# (PrimState (ListT m)) -> (# State# (PrimState (ListT m)), a #)) -> ListT m a #

PrimMonad m => PrimMonad (ExceptT e m) 
Instance details

Defined in Control.Monad.Primitive

Associated Types

type PrimState (ExceptT e m) #

Methods

primitive :: (State# (PrimState (ExceptT e m)) -> (# State# (PrimState (ExceptT e m)), a #)) -> ExceptT e m a #

PrimMonad m => PrimMonad (IdentityT m) 
Instance details

Defined in Control.Monad.Primitive

Associated Types

type PrimState (IdentityT m) #

Methods

primitive :: (State# (PrimState (IdentityT m)) -> (# State# (PrimState (IdentityT m)), a #)) -> IdentityT m a #

(Error e, PrimMonad m) => PrimMonad (ErrorT e m) 
Instance details

Defined in Control.Monad.Primitive

Associated Types

type PrimState (ErrorT e m) #

Methods

primitive :: (State# (PrimState (ErrorT e m)) -> (# State# (PrimState (ErrorT e m)), a #)) -> ErrorT e m a #

PrimMonad m => PrimMonad (ReaderT r m) 
Instance details

Defined in Control.Monad.Primitive

Associated Types

type PrimState (ReaderT r m) #

Methods

primitive :: (State# (PrimState (ReaderT r m)) -> (# State# (PrimState (ReaderT r m)), a #)) -> ReaderT r m a #

PrimMonad m => PrimMonad (StateT s m) 
Instance details

Defined in Control.Monad.Primitive

Associated Types

type PrimState (StateT s m) #

Methods

primitive :: (State# (PrimState (StateT s m)) -> (# State# (PrimState (StateT s m)), a #)) -> StateT s m a #

PrimMonad m => PrimMonad (StateT s m) 
Instance details

Defined in Control.Monad.Primitive

Associated Types

type PrimState (StateT s m) #

Methods

primitive :: (State# (PrimState (StateT s m)) -> (# State# (PrimState (StateT s m)), a #)) -> StateT s m a #

(Monoid w, PrimMonad m) => PrimMonad (WriterT w m) 
Instance details

Defined in Control.Monad.Primitive

Associated Types

type PrimState (WriterT w m) #

Methods

primitive :: (State# (PrimState (WriterT w m)) -> (# State# (PrimState (WriterT w m)), a #)) -> WriterT w m a #

(Monoid w, PrimMonad m) => PrimMonad (WriterT w m) 
Instance details

Defined in Control.Monad.Primitive

Associated Types

type PrimState (WriterT w m) #

Methods

primitive :: (State# (PrimState (WriterT w m)) -> (# State# (PrimState (WriterT w m)), a #)) -> WriterT w m a #

(Monoid w, PrimMonad m) => PrimMonad (AccumT w m) 
Instance details

Defined in Control.Monad.Primitive

Associated Types

type PrimState (AccumT w m) #

Methods

primitive :: (State# (PrimState (AccumT w m)) -> (# State# (PrimState (AccumT w m)), a #)) -> AccumT w m a #

(Monoid w, PrimMonad m) => PrimMonad (WriterT w m) 
Instance details

Defined in Control.Monad.Primitive

Associated Types

type PrimState (WriterT w m) #

Methods

primitive :: (State# (PrimState (WriterT w m)) -> (# State# (PrimState (WriterT w m)), a #)) -> WriterT w m a #

PrimMonad m => PrimMonad (SelectT r m) 
Instance details

Defined in Control.Monad.Primitive

Associated Types

type PrimState (SelectT r m) #

Methods

primitive :: (State# (PrimState (SelectT r m)) -> (# State# (PrimState (SelectT r m)), a #)) -> SelectT r m a #

PrimMonad m => PrimMonad (ContT r m) 
Instance details

Defined in Control.Monad.Primitive

Associated Types

type PrimState (ContT r m) #

Methods

primitive :: (State# (PrimState (ContT r m)) -> (# State# (PrimState (ContT r m)), a #)) -> ContT r m a #

(Monoid w, PrimMonad m) => PrimMonad (RWST r w s m) 
Instance details

Defined in Control.Monad.Primitive

Associated Types

type PrimState (RWST r w s m) #

Methods

primitive :: (State# (PrimState (RWST r w s m)) -> (# State# (PrimState (RWST r w s m)), a #)) -> RWST r w s m a #

(Monoid w, PrimMonad m) => PrimMonad (RWST r w s m) 
Instance details

Defined in Control.Monad.Primitive

Associated Types

type PrimState (RWST r w s m) #

Methods

primitive :: (State# (PrimState (RWST r w s m)) -> (# State# (PrimState (RWST r w s m)), a #)) -> RWST r w s m a #

(Monoid w, PrimMonad m) => PrimMonad (RWST r w s m) 
Instance details

Defined in Control.Monad.Primitive

Associated Types

type PrimState (RWST r w s m) #

Methods

primitive :: (State# (PrimState (RWST r w s m)) -> (# State# (PrimState (RWST r w s m)), a #)) -> RWST r w s m a #

evalPrim :: forall a m. PrimMonad m => a -> m a #

ioToPrim :: (PrimMonad m, PrimState m ~ RealWorld) => IO a -> m a #

liftPrim :: (PrimBase m1, PrimMonad m2, PrimState m1 ~ PrimState m2) => m1 a -> m2 a #

noDuplicate :: PrimMonad m => m () #

primToIO :: (PrimBase m, PrimState m ~ RealWorld) => m a -> IO a #

primToPrim :: (PrimBase m1, PrimMonad m2, PrimState m1 ~ PrimState m2) => m1 a -> m2 a #

primToST :: PrimBase m => m a -> ST (PrimState m) a #

primitive_ :: PrimMonad m => (State# (PrimState m) -> State# (PrimState m)) -> m () #

stToPrim :: PrimMonad m => ST (PrimState m) a -> m a #

touch :: PrimMonad m => a -> m () #

unsafeIOToPrim :: PrimMonad m => IO a -> m a #

unsafeInlineIO :: IO a -> a #

unsafeInlinePrim :: PrimBase m => m a -> a #

unsafeInlineST :: ST s a -> a #

unsafeInterleave :: PrimBase m => m a -> m a #

unsafePrimToIO :: PrimBase m => m a -> IO a #

unsafePrimToPrim :: (PrimBase m1, PrimMonad m2) => m1 a -> m2 a #

unsafePrimToST :: PrimBase m => m a -> ST s a #

unsafeSTToPrim :: PrimMonad m => ST s a -> m a #

class (PrimMonad m, s ~ PrimState m) => MonadPrim s (m :: Type -> Type) #

Instances

Instances details
(PrimMonad m, s ~ PrimState m) => MonadPrim s m 
Instance details

Defined in Control.Monad.Primitive

class (PrimBase m, MonadPrim s m) => MonadPrimBase s (m :: Type -> Type) #

Instances

Instances details
(PrimBase m, MonadPrim s m) => MonadPrimBase s m 
Instance details

Defined in Control.Monad.Primitive

class PrimMonad m => PrimBase (m :: Type -> Type) #

Minimal complete definition

internal

Instances

Instances details
PrimBase IO 
Instance details

Defined in Control.Monad.Primitive

Methods

internal :: IO a -> State# (PrimState IO) -> (# State# (PrimState IO), a #)

PrimBase (ST s) 
Instance details

Defined in Control.Monad.Primitive

Methods

internal :: ST s a -> State# (PrimState (ST s)) -> (# State# (PrimState (ST s)), a #)

PrimBase (ST s) 
Instance details

Defined in Control.Monad.Primitive

Methods

internal :: ST s a -> State# (PrimState (ST s)) -> (# State# (PrimState (ST s)), a #)

PrimBase m => PrimBase (IdentityT m) 
Instance details

Defined in Control.Monad.Primitive

Methods

internal :: IdentityT m a -> State# (PrimState (IdentityT m)) -> (# State# (PrimState (IdentityT m)), a #)

leftApp :: ArrowApply a => a b c -> a (Either b d) (Either c d) #

Any instance of ArrowApply can be made into an instance of ArrowChoice by defining left = leftApp.

(^<<) :: Arrow a => (c -> d) -> a b c -> a b d infixr 1 #

Postcomposition with a pure function (right-to-left variant).

(<<^) :: Arrow a => a c d -> (b -> c) -> a b d infixr 1 #

Precomposition with a pure function (right-to-left variant).

(>>^) :: Arrow a => a b c -> (c -> d) -> a b d infixr 1 #

Postcomposition with a pure function.

(^>>) :: Arrow a => (b -> c) -> a c d -> a b d infixr 1 #

Precomposition with a pure function.

returnA :: Arrow a => a b b #

The identity arrow, which plays the role of return in arrow notation.

class Category a => Arrow (a :: Type -> Type -> Type) where #

The basic arrow class.

Instances should satisfy the following laws:

where

assoc ((a,b),c) = (a,(b,c))

The other combinators have sensible default definitions, which may be overridden for efficiency.

Minimal complete definition

arr, (first | (***))

Methods

arr :: (b -> c) -> a b c #

Lift a function to an arrow.

first :: a b c -> a (b, d) (c, d) #

Send the first component of the input through the argument arrow, and copy the rest unchanged to the output.

second :: a b c -> a (d, b) (d, c) #

A mirror image of first.

The default definition may be overridden with a more efficient version if desired.

(***) :: a b c -> a b' c' -> a (b, b') (c, c') infixr 3 #

Split the input between the two argument arrows and combine their output. Note that this is in general not a functor.

The default definition may be overridden with a more efficient version if desired.

(&&&) :: 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.

Instances

Instances details
Monad m => Arrow (Kleisli m)

Since: base-2.1

Instance details

Defined in Control.Arrow

Methods

arr :: (b -> c) -> Kleisli m b c #

first :: Kleisli m b c -> Kleisli m (b, d) (c, d) #

second :: Kleisli m b c -> Kleisli m (d, b) (d, c) #

(***) :: Kleisli m b c -> Kleisli m b' c' -> Kleisli m (b, b') (c, c') #

(&&&) :: Kleisli m b c -> Kleisli m b c' -> Kleisli m b (c, c') #

Monad m => Arrow (Circuit m) Source # 
Instance details

Defined in Goal.Core.Circuit

Methods

arr :: (b -> c) -> Circuit m b c #

first :: Circuit m b c -> Circuit m (b, d) (c, d) #

second :: Circuit m b c -> Circuit m (d, b) (d, c) #

(***) :: Circuit m b c -> Circuit m b' c' -> Circuit m (b, b') (c, c') #

(&&&) :: Circuit m b c -> Circuit m b c' -> Circuit m b (c, c') #

Arrow ((->) :: Type -> Type -> Type)

Since: base-2.1

Instance details

Defined in Control.Arrow

Methods

arr :: (b -> c) -> b -> c #

first :: (b -> c) -> (b, d) -> (c, d) #

second :: (b -> c) -> (d, b) -> (d, c) #

(***) :: (b -> c) -> (b' -> c') -> (b, b') -> (c, c') #

(&&&) :: (b -> c) -> (b -> c') -> b -> (c, c') #

(Arrow p, Arrow q) => Arrow (Product p q) 
Instance details

Defined in Data.Bifunctor.Product

Methods

arr :: (b -> c) -> Product p q b c #

first :: Product p q b c -> Product p q (b, d) (c, d) #

second :: Product p q b c -> Product p q (d, b) (d, c) #

(***) :: Product p q b c -> Product p q b' c' -> Product p q (b, b') (c, c') #

(&&&) :: Product p q b c -> Product p q b c' -> Product p q b (c, c') #

(Applicative f, Arrow p) => Arrow (Tannen f p) 
Instance details

Defined in Data.Bifunctor.Tannen

Methods

arr :: (b -> c) -> Tannen f p b c #

first :: Tannen f p b c -> Tannen f p (b, d) (c, d) #

second :: Tannen f p b c -> Tannen f p (d, b) (d, c) #

(***) :: Tannen f p b c -> Tannen f p b' c' -> Tannen f p (b, b') (c, c') #

(&&&) :: Tannen f p b c -> Tannen f p b c' -> Tannen f p b (c, c') #

newtype Kleisli (m :: Type -> Type) a b #

Kleisli arrows of a monad.

Constructors

Kleisli 

Fields

Instances

Instances details
Monad m => Arrow (Kleisli m)

Since: base-2.1

Instance details

Defined in Control.Arrow

Methods

arr :: (b -> c) -> Kleisli m b c #

first :: Kleisli m b c -> Kleisli m (b, d) (c, d) #

second :: Kleisli m b c -> Kleisli m (d, b) (d, c) #

(***) :: Kleisli m b c -> Kleisli m b' c' -> Kleisli m (b, b') (c, c') #

(&&&) :: Kleisli m b c -> Kleisli m b c' -> Kleisli m b (c, c') #

MonadPlus m => ArrowZero (Kleisli m)

Since: base-2.1

Instance details

Defined in Control.Arrow

Methods

zeroArrow :: Kleisli m b c #

MonadPlus m => ArrowPlus (Kleisli m)

Since: base-2.1

Instance details

Defined in Control.Arrow

Methods

(<+>) :: Kleisli m b c -> Kleisli m b c -> Kleisli m b c #

Monad m => ArrowChoice (Kleisli m)

Since: base-2.1

Instance details

Defined in Control.Arrow

Methods

left :: Kleisli m b c -> Kleisli m (Either b d) (Either c d) #

right :: Kleisli m b c -> Kleisli m (Either d b) (Either d c) #

(+++) :: Kleisli m b c -> Kleisli m b' c' -> Kleisli m (Either b b') (Either c c') #

(|||) :: Kleisli m b d -> Kleisli m c d -> Kleisli m (Either b c) d #

Monad m => ArrowApply (Kleisli m)

Since: base-2.1

Instance details

Defined in Control.Arrow

Methods

app :: Kleisli m (Kleisli m b c, b) c #

MonadFix m => ArrowLoop (Kleisli m)

Beware that for many monads (those for which the >>= operation is strict) this instance will not satisfy the right-tightening law required by the ArrowLoop class.

Since: base-2.1

Instance details

Defined in Control.Arrow

Methods

loop :: Kleisli m (b, d) (c, d) -> Kleisli m b c #

Monad m => Category (Kleisli m :: Type -> Type -> Type)

Since: base-3.0

Instance details

Defined in Control.Arrow

Methods

id :: forall (a :: k). Kleisli m a a #

(.) :: forall (b :: k) (c :: k) (a :: k). Kleisli m b c -> Kleisli m a b -> Kleisli m a c #

Generic1 (Kleisli m a :: Type -> Type)

Since: base-4.14.0.0

Instance details

Defined in Control.Arrow

Associated Types

type Rep1 (Kleisli m a) :: k -> Type #

Methods

from1 :: forall (a0 :: k). Kleisli m a a0 -> Rep1 (Kleisli m a) a0 #

to1 :: forall (a0 :: k). Rep1 (Kleisli m a) a0 -> Kleisli m a a0 #

Monad m => Monad (Kleisli m a)

Since: base-4.14.0.0

Instance details

Defined in Control.Arrow

Methods

(>>=) :: Kleisli m a a0 -> (a0 -> Kleisli m a b) -> Kleisli m a b #

(>>) :: Kleisli m a a0 -> Kleisli m a b -> Kleisli m a b #

return :: a0 -> Kleisli m a a0 #

Functor m => Functor (Kleisli m a)

Since: base-4.14.0.0

Instance details

Defined in Control.Arrow

Methods

fmap :: (a0 -> b) -> Kleisli m a a0 -> Kleisli m a b #

(<$) :: a0 -> Kleisli m a b -> Kleisli m a a0 #

Applicative m => Applicative (Kleisli m a)

Since: base-4.14.0.0

Instance details

Defined in Control.Arrow

Methods

pure :: a0 -> Kleisli m a a0 #

(<*>) :: Kleisli m a (a0 -> b) -> Kleisli m a a0 -> Kleisli m a b #

liftA2 :: (a0 -> b -> c) -> Kleisli m a a0 -> Kleisli m a b -> Kleisli m a c #

(*>) :: Kleisli m a a0 -> Kleisli m a b -> Kleisli m a b #

(<*) :: Kleisli m a a0 -> Kleisli m a b -> Kleisli m a a0 #

Alternative m => Alternative (Kleisli m a)

Since: base-4.14.0.0

Instance details

Defined in Control.Arrow

Methods

empty :: Kleisli m a a0 #

(<|>) :: Kleisli m a a0 -> Kleisli m a a0 -> Kleisli m a a0 #

some :: Kleisli m a a0 -> Kleisli m a [a0] #

many :: Kleisli m a a0 -> Kleisli m a [a0] #

MonadPlus m => MonadPlus (Kleisli m a)

Since: base-4.14.0.0

Instance details

Defined in Control.Arrow

Methods

mzero :: Kleisli m a a0 #

mplus :: Kleisli m a a0 -> Kleisli m a a0 -> Kleisli m a a0 #

Generic (Kleisli m a b)

Since: base-4.14.0.0

Instance details

Defined in Control.Arrow

Associated Types

type Rep (Kleisli m a b) :: Type -> Type #

Methods

from :: Kleisli m a b -> Rep (Kleisli m a b) x #

to :: Rep (Kleisli m a b) x -> Kleisli m a b #

type Rep1 (Kleisli m a :: Type -> Type) 
Instance details

Defined in Control.Arrow

type Rep1 (Kleisli m a :: Type -> Type) = D1 ('MetaData "Kleisli" "Control.Arrow" "base" 'True) (C1 ('MetaCons "Kleisli" 'PrefixI 'True) (S1 ('MetaSel ('Just "runKleisli") 'NoSourceUnpackedness 'NoSourceStrictness 'DecidedLazy) (((->) a :: Type -> Type) :.: Rec1 m)))
type Rep (Kleisli m a b) 
Instance details

Defined in Control.Arrow

type Rep (Kleisli m a b) = D1 ('MetaData "Kleisli" "Control.Arrow" "base" 'True) (C1 ('MetaCons "Kleisli" 'PrefixI 'True) (S1 ('MetaSel ('Just "runKleisli") 'NoSourceUnpackedness 'NoSourceStrictness 'DecidedLazy) (Rec0 (a -> m b))))

class Arrow a => ArrowZero (a :: Type -> Type -> Type) where #

Methods

zeroArrow :: a b c #

Instances

Instances details
MonadPlus m => ArrowZero (Kleisli m)

Since: base-2.1

Instance details

Defined in Control.Arrow

Methods

zeroArrow :: Kleisli m b c #

(ArrowZero p, ArrowZero q) => ArrowZero (Product p q) 
Instance details

Defined in Data.Bifunctor.Product

Methods

zeroArrow :: Product p q b c #

(Applicative f, ArrowZero p) => ArrowZero (Tannen f p) 
Instance details

Defined in Data.Bifunctor.Tannen

Methods

zeroArrow :: Tannen f p b c #

class ArrowZero a => ArrowPlus (a :: Type -> Type -> Type) #

A monoid on arrows.

Minimal complete definition

(<+>)

Instances

Instances details
MonadPlus m => ArrowPlus (Kleisli m)

Since: base-2.1

Instance details

Defined in Control.Arrow

Methods

(<+>) :: Kleisli m b c -> Kleisli m b c -> Kleisli m b c #

(ArrowPlus p, ArrowPlus q) => ArrowPlus (Product p q) 
Instance details

Defined in Data.Bifunctor.Product

Methods

(<+>) :: Product p q b c -> Product p q b c -> Product p q b c #

(Applicative f, ArrowPlus p) => ArrowPlus (Tannen f p) 
Instance details

Defined in Data.Bifunctor.Tannen

Methods

(<+>) :: Tannen f p b c -> Tannen f p b c -> Tannen f p b c #

class Arrow a => ArrowChoice (a :: Type -> Type -> Type) where #

Choice, for arrows that support it. This class underlies the if and case constructs in arrow notation.

Instances should satisfy the following laws:

where

assocsum (Left (Left x)) = Left x
assocsum (Left (Right y)) = Right (Left y)
assocsum (Right z) = Right (Right z)

The other combinators have sensible default definitions, which may be overridden for efficiency.

Minimal complete definition

(left | (+++))

Methods

left :: a b c -> a (Either b d) (Either c d) #

Feed marked inputs through the argument arrow, passing the rest through unchanged to the output.

right :: a b c -> a (Either d b) (Either d c) #

A mirror image of left.

The default definition may be overridden with a more efficient version if desired.

(+++) :: a b c -> a b' c' -> a (Either b b') (Either c c') infixr 2 #

Split the input between the two argument arrows, retagging and merging their outputs. Note that this is in general not a functor.

The default definition may be overridden with a more efficient version if desired.

(|||) :: a b d -> a c d -> a (Either b c) d infixr 2 #

Fanin: Split the input between the two argument arrows and merge their outputs.

The default definition may be overridden with a more efficient version if desired.

Instances

Instances details
Monad m => ArrowChoice (Kleisli m)

Since: base-2.1

Instance details

Defined in Control.Arrow

Methods

left :: Kleisli m b c -> Kleisli m (Either b d) (Either c d) #

right :: Kleisli m b c -> Kleisli m (Either d b) (Either d c) #

(+++) :: Kleisli m b c -> Kleisli m b' c' -> Kleisli m (Either b b') (Either c c') #

(|||) :: Kleisli m b d -> Kleisli m c d -> Kleisli m (Either b c) d #

Monad m => ArrowChoice (Circuit m) Source # 
Instance details

Defined in Goal.Core.Circuit

Methods

left :: Circuit m b c -> Circuit m (Either b d) (Either c d) #

right :: Circuit m b c -> Circuit m (Either d b) (Either d c) #

(+++) :: Circuit m b c -> Circuit m b' c' -> Circuit m (Either b b') (Either c c') #

(|||) :: Circuit m b d -> Circuit m c d -> Circuit m (Either b c) d #

ArrowChoice ((->) :: Type -> Type -> Type)

Since: base-2.1

Instance details

Defined in Control.Arrow

Methods

left :: (b -> c) -> Either b d -> Either c d #

right :: (b -> c) -> Either d b -> Either d c #

(+++) :: (b -> c) -> (b' -> c') -> Either b b' -> Either c c' #

(|||) :: (b -> d) -> (c -> d) -> Either b c -> d #

(ArrowChoice p, ArrowChoice q) => ArrowChoice (Product p q) 
Instance details

Defined in Data.Bifunctor.Product

Methods

left :: Product p q b c -> Product p q (Either b d) (Either c d) #

right :: Product p q b c -> Product p q (Either d b) (Either d c) #

(+++) :: Product p q b c -> Product p q b' c' -> Product p q (Either b b') (Either c c') #

(|||) :: Product p q b d -> Product p q c d -> Product p q (Either b c) d #

(Applicative f, ArrowChoice p) => ArrowChoice (Tannen f p) 
Instance details

Defined in Data.Bifunctor.Tannen

Methods

left :: Tannen f p b c -> Tannen f p (Either b d) (Either c d) #

right :: Tannen f p b c -> Tannen f p (Either d b) (Either d c) #

(+++) :: Tannen f p b c -> Tannen f p b' c' -> Tannen f p (Either b b') (Either c c') #

(|||) :: Tannen f p b d -> Tannen f p c d -> Tannen f p (Either b c) d #

class Arrow a => ArrowApply (a :: Type -> Type -> Type) where #

Some arrows allow application of arrow inputs to other inputs. Instances should satisfy the following laws:

Such arrows are equivalent to monads (see ArrowMonad).

Methods

app :: a (a b c, b) c #

Instances

Instances details
Monad m => ArrowApply (Kleisli m)

Since: base-2.1

Instance details

Defined in Control.Arrow

Methods

app :: Kleisli m (Kleisli m b c, b) c #

ArrowApply ((->) :: Type -> Type -> Type)

Since: base-2.1

Instance details

Defined in Control.Arrow

Methods

app :: (b -> c, b) -> c #

newtype ArrowMonad (a :: Type -> Type -> Type) b #

The ArrowApply class is equivalent to Monad: any monad gives rise to a Kleisli arrow, and any instance of ArrowApply defines a monad.

Constructors

ArrowMonad (a () b) 

Instances

Instances details
ArrowApply a => Monad (ArrowMonad a)

Since: base-2.1

Instance details

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 #

Arrow a => Functor (ArrowMonad a)

Since: base-4.6.0.0

Instance details

Defined in Control.Arrow

Methods

fmap :: (a0 -> b) -> ArrowMonad a a0 -> ArrowMonad a b #

(<$) :: a0 -> ArrowMonad a b -> ArrowMonad a a0 #

Arrow a => Applicative (ArrowMonad a)

Since: base-4.6.0.0

Instance details

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 #

ArrowPlus a => Alternative (ArrowMonad a)

Since: base-4.6.0.0

Instance details

Defined in Control.Arrow

Methods

empty :: ArrowMonad a a0 #

(<|>) :: ArrowMonad a a0 -> ArrowMonad a a0 -> ArrowMonad a a0 #

some :: ArrowMonad a a0 -> ArrowMonad a [a0] #

many :: ArrowMonad a a0 -> ArrowMonad a [a0] #

(ArrowApply a, ArrowPlus a) => MonadPlus (ArrowMonad a)

Since: base-4.6.0.0

Instance details

Defined in Control.Arrow

Methods

mzero :: ArrowMonad a a0 #

mplus :: ArrowMonad a a0 -> ArrowMonad a a0 -> ArrowMonad a a0 #

class Arrow a => ArrowLoop (a :: Type -> Type -> Type) where #

The loop operator expresses computations in which an output value is fed back as input, although the computation occurs only once. It underlies the rec value recursion construct in arrow notation. loop should satisfy the following laws:

extension
loop (arr f) = arr (\ b -> fst (fix (\ (c,d) -> f (b,d))))
left tightening
loop (first h >>> f) = h >>> loop f
right tightening
loop (f >>> first h) = loop f >>> h
sliding
loop (f >>> arr (id *** k)) = loop (arr (id *** k) >>> f)
vanishing
loop (loop f) = loop (arr unassoc >>> f >>> arr assoc)
superposing
second (loop f) = loop (arr assoc >>> second f >>> arr unassoc)

where

assoc ((a,b),c) = (a,(b,c))
unassoc (a,(b,c)) = ((a,b),c)

Methods

loop :: a (b, d) (c, d) -> a b c #

Instances

Instances details
MonadFix m => ArrowLoop (Kleisli m)

Beware that for many monads (those for which the >>= operation is strict) this instance will not satisfy the right-tightening law required by the ArrowLoop class.

Since: base-2.1

Instance details

Defined in Control.Arrow

Methods

loop :: Kleisli m (b, d) (c, d) -> Kleisli m b c #

ArrowLoop ((->) :: Type -> Type -> Type)

Since: base-2.1

Instance details

Defined in Control.Arrow

Methods

loop :: ((b, d) -> (c, d)) -> b -> c #

(ArrowLoop p, ArrowLoop q) => ArrowLoop (Product p q) 
Instance details

Defined in Data.Bifunctor.Product

Methods

loop :: Product p q (b, d) (c, d) -> Product p q b c #

(Applicative f, ArrowLoop p) => ArrowLoop (Tannen f p) 
Instance details

Defined in Data.Bifunctor.Tannen

Methods

loop :: Tannen f p (b, d) (c, d) -> Tannen f p b c #

(>>>) :: forall k cat (a :: k) (b :: k) (c :: k). Category cat => cat a b -> cat b c -> cat a c infixr 1 #

Left-to-right composition

(<<<) :: forall k cat (b :: k) (c :: k) (a :: k). Category cat => cat b c -> cat a b -> cat a c infixr 1 #

Right-to-left composition

rnf2 :: (NFData2 p, NFData a, NFData b) => p a b -> () #

Lift the standard rnf function through the type constructor.

Since: deepseq-1.4.3.0

rnf1 :: (NFData1 f, NFData a) => f a -> () #

Lift the standard rnf function through the type constructor.

Since: deepseq-1.4.3.0

rwhnf :: a -> () #

Reduce to weak head normal form

Equivalent to \x -> seq x ().

Useful for defining NFData for types for which NF=WHNF holds.

data T = C1 | C2 | C3
instance NFData T where rnf = rwhnf

Since: deepseq-1.4.3.0

(<$!!>) :: (Monad m, NFData b) => (a -> b) -> m a -> m b infixl 4 #

Deeply strict version of <$>.

Since: deepseq-1.4.3.0

($!!) :: 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

class NFData a where #

A class of types that can be fully evaluated.

Since: deepseq-1.1.0.0

Minimal complete definition

Nothing

Methods

rnf :: a -> () #

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 Colour

Starting 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

rnf a = seq a ()

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

Instances details
NFData Bool 
Instance details

Defined in Control.DeepSeq

Methods

rnf :: Bool -> () #

NFData Char 
Instance details

Defined in Control.DeepSeq

Methods

rnf :: Char -> () #

NFData Double 
Instance details

Defined in Control.DeepSeq

Methods

rnf :: Double -> () #

NFData Float 
Instance details

Defined in Control.DeepSeq

Methods

rnf :: Float -> () #

NFData Int 
Instance details

Defined in Control.DeepSeq

Methods

rnf :: Int -> () #

NFData Int8 
Instance details

Defined in Control.DeepSeq

Methods

rnf :: Int8 -> () #

NFData Int16 
Instance details

Defined in Control.DeepSeq

Methods

rnf :: Int16 -> () #

NFData Int32 
Instance details

Defined in Control.DeepSeq

Methods

rnf :: Int32 -> () #

NFData Int64 
Instance details

Defined in Control.DeepSeq

Methods

rnf :: Int64 -> () #

NFData Integer 
Instance details

Defined in Control.DeepSeq

Methods

rnf :: Integer -> () #

NFData Natural

Since: deepseq-1.4.0.0

Instance details

Defined in Control.DeepSeq

Methods

rnf :: Natural -> () #

NFData Ordering 
Instance details

Defined in Control.DeepSeq

Methods

rnf :: Ordering -> () #

NFData Word 
Instance details

Defined in Control.DeepSeq

Methods

rnf :: Word -> () #

NFData Word8 
Instance details

Defined in Control.DeepSeq

Methods

rnf :: Word8 -> () #

NFData Word16 
Instance details

Defined in Control.DeepSeq

Methods

rnf :: Word16 -> () #

NFData Word32 
Instance details

Defined in Control.DeepSeq

Methods

rnf :: Word32 -> () #

NFData Word64 
Instance details

Defined in Control.DeepSeq

Methods

rnf :: Word64 -> () #

NFData CallStack

Since: deepseq-1.4.2.0

Instance details

Defined in Control.DeepSeq

Methods

rnf :: CallStack -> () #

NFData () 
Instance details

Defined in Control.DeepSeq

Methods

rnf :: () -> () #

NFData TyCon

NOTE: Prior to deepseq-1.4.4.0 this instance was only defined for base-4.8.0.0 and later.

Since: deepseq-1.4.0.0

Instance details

Defined in Control.DeepSeq

Methods

rnf :: TyCon -> () #

NFData Void

Defined as rnf = absurd.

Since: deepseq-1.4.0.0

Instance details

Defined in Control.DeepSeq

Methods

rnf :: Void -> () #

NFData Unique

Since: deepseq-1.4.0.0

Instance details

Defined in Control.DeepSeq

Methods

rnf :: Unique -> () #

NFData Version

Since: deepseq-1.3.0.0

Instance details

Defined in Control.DeepSeq

Methods

rnf :: Version -> () #

NFData ThreadId

Since: deepseq-1.4.0.0

Instance details

Defined in Control.DeepSeq

Methods

rnf :: ThreadId -> () #

NFData ExitCode

Since: deepseq-1.4.2.0

Instance details

Defined in Control.DeepSeq

Methods

rnf :: ExitCode -> () #

NFData MaskingState

Since: deepseq-1.4.4.0

Instance details

Defined in Control.DeepSeq

Methods

rnf :: MaskingState -> () #

NFData TypeRep

NOTE: Prior to deepseq-1.4.4.0 this instance was only defined for base-4.8.0.0 and later.

Since: deepseq-1.4.0.0

Instance details

Defined in Control.DeepSeq

Methods

rnf :: TypeRep -> () #

NFData All

Since: deepseq-1.4.0.0

Instance details

Defined in Control.DeepSeq

Methods

rnf :: All -> () #

NFData Any

Since: deepseq-1.4.0.0

Instance details

Defined in Control.DeepSeq

Methods

rnf :: Any -> () #

NFData CChar

Since: deepseq-1.4.0.0

Instance details

Defined in Control.DeepSeq

Methods

rnf :: CChar -> () #

NFData CSChar

Since: deepseq-1.4.0.0

Instance details

Defined in Control.DeepSeq

Methods

rnf :: CSChar -> () #

NFData CUChar

Since: deepseq-1.4.0.0

Instance details

Defined in Control.DeepSeq

Methods

rnf :: CUChar -> () #

NFData CShort

Since: deepseq-1.4.0.0

Instance details

Defined in Control.DeepSeq

Methods

rnf :: CShort -> () #

NFData CUShort

Since: deepseq-1.4.0.0

Instance details

Defined in Control.DeepSeq

Methods

rnf :: CUShort -> () #

NFData CInt

Since: deepseq-1.4.0.0

Instance details

Defined in Control.DeepSeq

Methods

rnf :: CInt -> () #

NFData CUInt

Since: deepseq-1.4.0.0

Instance details

Defined in Control.DeepSeq

Methods

rnf :: CUInt -> () #

NFData CLong

Since: deepseq-1.4.0.0

Instance details

Defined in Control.DeepSeq

Methods

rnf :: CLong -> () #

NFData CULong

Since: deepseq-1.4.0.0

Instance details

Defined in Control.DeepSeq

Methods

rnf :: CULong -> () #

NFData CLLong

Since: deepseq-1.4.0.0

Instance details

Defined in Control.DeepSeq

Methods

rnf :: CLLong -> () #

NFData CULLong

Since: deepseq-1.4.0.0

Instance details

Defined in Control.DeepSeq

Methods

rnf :: CULLong -> () #

NFData CBool

Since: deepseq-1.4.3.0

Instance details

Defined in Control.DeepSeq

Methods

rnf :: CBool -> () #

NFData CFloat

Since: deepseq-1.4.0.0

Instance details

Defined in Control.DeepSeq

Methods

rnf :: CFloat -> () #

NFData CDouble

Since: deepseq-1.4.0.0

Instance details

Defined in Control.DeepSeq

Methods

rnf :: CDouble -> () #

NFData CPtrdiff

Since: deepseq-1.4.0.0

Instance details

Defined in Control.DeepSeq

Methods

rnf :: CPtrdiff -> () #

NFData CSize

Since: deepseq-1.4.0.0

Instance details

Defined in Control.DeepSeq

Methods

rnf :: CSize -> () #

NFData CWchar

Since: deepseq-1.4.0.0

Instance details

Defined in Control.DeepSeq

Methods

rnf :: CWchar -> () #

NFData CSigAtomic

Since: deepseq-1.4.0.0

Instance details

Defined in Control.DeepSeq

Methods

rnf :: CSigAtomic -> () #

NFData CClock

Since: deepseq-1.4.0.0

Instance details

Defined in Control.DeepSeq

Methods

rnf :: CClock -> () #

NFData CTime

Since: deepseq-1.4.0.0

Instance details

Defined in Control.DeepSeq

Methods

rnf :: CTime -> () #

NFData CUSeconds

Since: deepseq-1.4.0.0

Instance details

Defined in Control.DeepSeq

Methods

rnf :: CUSeconds -> () #

NFData CSUSeconds

Since: deepseq-1.4.0.0

Instance details

Defined in Control.DeepSeq

Methods

rnf :: CSUSeconds -> () #

NFData CFile

Since: deepseq-1.4.0.0

Instance details

Defined in Control.DeepSeq

Methods

rnf :: CFile -> () #

NFData CFpos

Since: deepseq-1.4.0.0

Instance details

Defined in Control.DeepSeq

Methods

rnf :: CFpos -> () #

NFData CJmpBuf

Since: deepseq-1.4.0.0

Instance details

Defined in Control.DeepSeq

Methods

rnf :: CJmpBuf -> () #

NFData CIntPtr

Since: deepseq-1.4.0.0

Instance details

Defined in Control.DeepSeq

Methods

rnf :: CIntPtr -> () #

NFData CUIntPtr

Since: deepseq-1.4.0.0

Instance details

Defined in Control.DeepSeq

Methods

rnf :: CUIntPtr -> () #

NFData CIntMax

Since: deepseq-1.4.0.0

Instance details

Defined in Control.DeepSeq

Methods

rnf :: CIntMax -> () #

NFData CUIntMax

Since: deepseq-1.4.0.0

Instance details

Defined in Control.DeepSeq

Methods

rnf :: CUIntMax -> () #

NFData Fingerprint

Since: deepseq-1.4.0.0

Instance details

Defined in Control.DeepSeq

Methods

rnf :: Fingerprint -> () #

NFData SrcLoc

Since: deepseq-1.4.2.0

Instance details

Defined in Control.DeepSeq

Methods

rnf :: SrcLoc -> () #

NFData ShortByteString 
Instance details

Defined in Data.ByteString.Short.Internal

Methods

rnf :: ShortByteString -> () #

NFData ByteString 
Instance details

Defined in Data.ByteString.Lazy.Internal

Methods

rnf :: ByteString -> () #

NFData ByteString 
Instance details

Defined in Data.ByteString.Internal

Methods

rnf :: ByteString -> () #

NFData IntSet 
Instance details

Defined in Data.IntSet.Internal

Methods

rnf :: IntSet -> () #

NFData Doc 
Instance details

Defined in Text.PrettyPrint.HughesPJ

Methods

rnf :: Doc -> () #

NFData TextDetails 
Instance details

Defined in Text.PrettyPrint.Annotated.HughesPJ

Methods

rnf :: TextDetails -> () #

NFData ZonedTime 
Instance details

Defined in Data.Time.LocalTime.Internal.ZonedTime

Methods

rnf :: ZonedTime -> () #

NFData LocalTime 
Instance details

Defined in Data.Time.LocalTime.Internal.LocalTime

Methods

rnf :: LocalTime -> () #

NFData ShortText 
Instance details

Defined in Data.Text.Short.Internal

Methods

rnf :: ShortText -> () #

NFData StdGen 
Instance details

Defined in System.Random.Internal

Methods

rnf :: StdGen -> () #

NFData ByteArray 
Instance details

Defined in Data.Primitive.ByteArray

Methods

rnf :: ByteArray -> () #

NFData NewtonStep 
Instance details

Defined in Numeric.RootFinding

Methods

rnf :: NewtonStep -> () #

NFData RiddersStep 
Instance details

Defined in Numeric.RootFinding

Methods

rnf :: RiddersStep -> () #

NFData a => NFData [a] 
Instance details

Defined in Control.DeepSeq

Methods

rnf :: [a] -> () #

NFData a => NFData (Maybe a) 
Instance details

Defined in Control.DeepSeq

Methods

rnf :: Maybe a -> () #

NFData a => NFData (Ratio a) 
Instance details

Defined in Control.DeepSeq

Methods

rnf :: Ratio a -> () #

NFData (Ptr a)

Since: deepseq-1.4.2.0

Instance details

Defined in Control.DeepSeq

Methods

rnf :: Ptr a -> () #

NFData (FunPtr a)

Since: deepseq-1.4.2.0

Instance details

Defined in Control.DeepSeq

Methods

rnf :: FunPtr a -> () #

NFData a => NFData (Complex a) 
Instance details

Defined in Control.DeepSeq

Methods

rnf :: Complex a -> () #

NFData a => NFData (Min a)

Since: deepseq-1.4.2.0

Instance details

Defined in Control.DeepSeq

Methods

rnf :: Min a -> () #

NFData a => NFData (Max a)

Since: deepseq-1.4.2.0

Instance details

Defined in Control.DeepSeq

Methods

rnf :: Max a -> () #

NFData a => NFData (First a)

Since: deepseq-1.4.2.0

Instance details

Defined in Control.DeepSeq

Methods

rnf :: First a -> () #

NFData a => NFData (Last a)

Since: deepseq-1.4.2.0

Instance details

Defined in Control.DeepSeq

Methods

rnf :: Last a -> () #

NFData m => NFData (WrappedMonoid m)

Since: deepseq-1.4.2.0

Instance details

Defined in Control.DeepSeq

Methods

rnf :: WrappedMonoid m -> () #

NFData a => NFData (Option a)

Since: deepseq-1.4.2.0

Instance details

Defined in Control.DeepSeq

Methods

rnf :: Option a -> () #

NFData (StableName a)

Since: deepseq-1.4.0.0

Instance details

Defined in Control.DeepSeq

Methods

rnf :: StableName a -> () #

NFData a => NFData (ZipList a)

Since: deepseq-1.4.0.0

Instance details

Defined in Control.DeepSeq

Methods

rnf :: ZipList a -> () #

NFData a => NFData (Identity a)

Since: deepseq-1.4.0.0

Instance details

Defined in Control.DeepSeq

Methods

rnf :: Identity a -> () #

NFData (IORef a)

NOTE: Only strict in the reference and not the referenced value.

Since: deepseq-1.4.2.0

Instance details

Defined in Control.DeepSeq

Methods

rnf :: IORef a -> () #

NFData a => NFData (First a)

Since: deepseq-1.4.0.0

Instance details

Defined in Control.DeepSeq

Methods

rnf :: First a -> () #

NFData a => NFData (Last a)

Since: deepseq-1.4.0.0

Instance details

Defined in Control.DeepSeq

Methods

rnf :: Last a -> () #

NFData a => NFData (Dual a)

Since: deepseq-1.4.0.0

Instance details

Defined in Control.DeepSeq

Methods

rnf :: Dual a -> () #

NFData a => NFData (Sum a)

Since: deepseq-1.4.0.0

Instance details

Defined in Control.DeepSeq

Methods

rnf :: Sum a -> () #

NFData a => NFData (Product a)

Since: deepseq-1.4.0.0

Instance details

Defined in Control.DeepSeq

Methods

rnf :: Product a -> () #

NFData a => NFData (Down a)

Since: deepseq-1.4.0.0

Instance details

Defined in Control.DeepSeq

Methods

rnf :: Down a -> () #

NFData (MVar a)

NOTE: Only strict in the reference and not the referenced value.

Since: deepseq-1.4.2.0

Instance details

Defined in Control.DeepSeq

Methods

rnf :: MVar a -> () #

NFData a => NFData (NonEmpty a)

Since: deepseq-1.4.2.0

Instance details

Defined in Control.DeepSeq

Methods

rnf :: NonEmpty a -> () #

NFData a => NFData (IntMap a) 
Instance details

Defined in Data.IntMap.Internal

Methods

rnf :: IntMap a -> () #

NFData a => NFData (Tree a) 
Instance details

Defined in Data.Tree

Methods

rnf :: Tree a -> () #

NFData a => NFData (Seq a) 
Instance details

Defined in Data.Sequence.Internal

Methods

rnf :: Seq a -> () #

NFData a => NFData (FingerTree a) 
Instance details

Defined in Data.Sequence.Internal

Methods

rnf :: FingerTree a -> () #

NFData a => NFData (Digit a) 
Instance details

Defined in Data.Sequence.Internal

Methods

rnf :: Digit a -> () #

NFData a => NFData (Node a) 
Instance details

Defined in Data.Sequence.Internal

Methods

rnf :: Node a -> () #

NFData a => NFData (Elem a) 
Instance details

Defined in Data.Sequence.Internal

Methods

rnf :: Elem a -> () #

NFData a => NFData (Set a) 
Instance details

Defined in Data.Set.Internal

Methods

rnf :: Set a -> () #

NFData a => NFData (Doc a) 
Instance details

Defined in Text.PrettyPrint.Annotated.HughesPJ

Methods

rnf :: Doc a -> () #

NFData a => NFData (AnnotDetails a) 
Instance details

Defined in Text.PrettyPrint.Annotated.HughesPJ

Methods

rnf :: AnnotDetails a -> () #

NFData a => NFData (Only a) 
Instance details

Defined in Data.Tuple.Only

Methods

rnf :: Only a -> () #

NFData a => NFData (Vector a) 
Instance details

Defined in Data.Vector

Methods

rnf :: Vector a -> () #

NFData a => NFData (Array a) 
Instance details

Defined in Data.Primitive.Array

Methods

rnf :: Array a -> () #

NFData (Vector a) 
Instance details

Defined in Data.Vector.Unboxed.Base

Methods

rnf :: Vector a -> () #

NFData (Finite n) 
Instance details

Defined in Data.Finite.Internal

Methods

rnf :: Finite n -> () #

NFData (Vector a) 
Instance details

Defined in Data.Vector.Storable

Methods

rnf :: Vector a -> () #

(Storable t, NFData t) => NFData (Matrix t) 
Instance details

Defined in Internal.Matrix

Methods

rnf :: Matrix t -> () #

(NFData t, Numeric t) => NFData (LU t) 
Instance details

Defined in Internal.Algorithms

Methods

rnf :: LU t -> () #

(NFData t, Numeric t) => NFData (Herm t) 
Instance details

Defined in Internal.Algorithms

Methods

rnf :: Herm t -> () #

NFData g => NFData (StateGen g) 
Instance details

Defined in System.Random.Internal

Methods

rnf :: StateGen g -> () #

NFData a => NFData (Hashed a) 
Instance details

Defined in Data.Hashable.Class

Methods

rnf :: Hashed a -> () #

NFData (MutableByteArray s) 
Instance details

Defined in Data.Primitive.ByteArray

Methods

rnf :: MutableByteArray s -> () #

NFData (PrimArray a) 
Instance details

Defined in Data.Primitive.PrimArray

Methods

rnf :: PrimArray a -> () #

NFData a => NFData (SmallArray a) 
Instance details

Defined in Data.Primitive.SmallArray

Methods

rnf :: SmallArray a -> () #

NFData a => NFData (HashSet a) 
Instance details

Defined in Data.HashSet.Internal

Methods

rnf :: HashSet a -> () #

NFData (Vector a) 
Instance details

Defined in Data.Vector.Primitive

Methods

rnf :: Vector a -> () #

NFData a => NFData (Root a) 
Instance details

Defined in Numeric.RootFinding

Methods

rnf :: Root a -> () #

(NFData t, Numeric t) => NFData (LDL t) 
Instance details

Defined in Internal.Algorithms

Methods

rnf :: LDL t -> () #

(NFData t, Numeric t) => NFData (QR t) 
Instance details

Defined in Internal.Algorithms

Methods

rnf :: QR t -> () #

NFData (a -> b)

This instance is for convenience and consistency with seq. This assumes that WHNF is equivalent to NF for functions.

Since: deepseq-1.3.0.0

Instance details

Defined in Control.DeepSeq

Methods

rnf :: (a -> b) -> () #

(NFData a, NFData b) => NFData (Either a b) 
Instance details

Defined in Control.DeepSeq

Methods

rnf :: Either a b -> () #

(NFData a, NFData b) => NFData (a, b) 
Instance details

Defined in Control.DeepSeq

Methods

rnf :: (a, b) -> () #

(NFData a, NFData b) => NFData (Array a b) 
Instance details

Defined in Control.DeepSeq

Methods

rnf :: Array a b -> () #

NFData (Fixed a)

Since: deepseq-1.3.0.0

Instance details

Defined in Control.DeepSeq

Methods

rnf :: Fixed a -> () #

(NFData a, NFData b) => NFData (Arg a b)

Since: deepseq-1.4.2.0

Instance details

Defined in Control.DeepSeq

Methods

rnf :: Arg a b -> () #

NFData (Proxy a)

Since: deepseq-1.4.0.0

Instance details

Defined in Control.DeepSeq

Methods

rnf :: Proxy a -> () #

NFData (STRef s a)

NOTE: Only strict in the reference and not the referenced value.

Since: deepseq-1.4.2.0

Instance details

Defined in Control.DeepSeq

Methods

rnf :: STRef s a -> () #

(NFData k, NFData a) => NFData (Map k a) 
Instance details

Defined in Data.Map.Internal

Methods

rnf :: Map k a -> () #

NFData (MVector s a) 
Instance details

Defined in Data.Vector.Unboxed.Base

Methods

rnf :: MVector s a -> () #

(NFData i, NFData r) => NFData (IResult i r) 
Instance details

Defined in Data.Attoparsec.Internal.Types

Methods

rnf :: IResult i r -> () #

(NFData k, NFData v) => NFData (HashMap k v) 
Instance details

Defined in Data.HashMap.Internal

Methods

rnf :: HashMap k v -> () #

(NFData k, NFData v) => NFData (Leaf k v) 
Instance details

Defined in Data.HashMap.Internal

Methods

rnf :: Leaf k v -> () #

NFData (MVector s a) 
Instance details

Defined in Data.Vector.Storable.Mutable

Methods

rnf :: MVector s a -> () #

NFData t => NFData (Mod n t) 
Instance details

Defined in Internal.Modular

Methods

rnf :: Mod n t -> () #

NFData (MutablePrimArray s a) 
Instance details

Defined in Data.Primitive.PrimArray

Methods

rnf :: MutablePrimArray s a -> () #

NFData (MVector s a) 
Instance details

Defined in Data.Vector.Primitive.Mutable

Methods

rnf :: MVector s a -> () #

(NFData a1, NFData a2, NFData a3) => NFData (a1, a2, a3) 
Instance details

Defined in Control.DeepSeq

Methods

rnf :: (a1, a2, a3) -> () #

NFData a => NFData (Const a b)

Since: deepseq-1.4.0.0

Instance details

Defined in Control.DeepSeq

Methods

rnf :: Const a b -> () #

NFData (a :~: b)

Since: deepseq-1.4.3.0

Instance details

Defined in Control.DeepSeq

Methods

rnf :: (a :~: b) -> () #

NFData (v a) => NFData (Vector v n a) 
Instance details

Defined in Data.Vector.Generic.Sized.Internal

Methods

rnf :: Vector v n a -> () #

NFData b => NFData (Tagged s b) 
Instance details

Defined in Data.Tagged

Methods

rnf :: Tagged s b -> () #

(NFData a1, NFData a2, NFData a3, NFData a4) => NFData (a1, a2, a3, a4) 
Instance details

Defined in Control.DeepSeq

Methods

rnf :: (a1, a2, a3, a4) -> () #

(NFData1 f, NFData1 g, NFData a) => NFData (Product f g a)

Since: deepseq-1.4.3.0

Instance details

Defined in Control.DeepSeq

Methods

rnf :: Product f g a -> () #

(NFData1 f, NFData1 g, NFData a) => NFData (Sum f g a)

Since: deepseq-1.4.3.0

Instance details

Defined in Control.DeepSeq

Methods

rnf :: Sum f g a -> () #

NFData (a :~~: b)

Since: deepseq-1.4.3.0

Instance details

Defined in Control.DeepSeq

Methods

rnf :: (a :~~: b) -> () #

NFData (v s a) => NFData (MVector v n s a) 
Instance details

Defined in Data.Vector.Generic.Mutable.Sized.Internal

Methods

rnf :: MVector v n s a -> () #

NFData (v a) => NFData (Matrix v m n a) Source # 
Instance details

Defined in Goal.Core.Vector.Generic

Methods

rnf :: Matrix v m n a -> () #

(NFData a1, NFData a2, NFData a3, NFData a4, NFData a5) => NFData (a1, a2, a3, a4, a5) 
Instance details

Defined in Control.DeepSeq

Methods

rnf :: (a1, a2, a3, a4, a5) -> () #

(NFData1 f, NFData1 g, NFData a) => NFData (Compose f g a)

Since: deepseq-1.4.3.0

Instance details

Defined in Control.DeepSeq

Methods

rnf :: Compose f g a -> () #

(NFData a1, NFData a2, NFData a3, NFData a4, NFData a5, NFData a6) => NFData (a1, a2, a3, a4, a5, a6) 
Instance details

Defined in Control.DeepSeq

Methods

rnf :: (a1, a2, a3, a4, a5, a6) -> () #

(NFData a1, NFData a2, NFData a3, NFData a4, NFData a5, NFData a6, NFData a7) => NFData (a1, a2, a3, a4, a5, a6, a7) 
Instance details

Defined in Control.DeepSeq

Methods

rnf :: (a1, a2, a3, a4, a5, a6, a7) -> () #

(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) 
Instance details

Defined in Control.DeepSeq

Methods

rnf :: (a1, a2, a3, a4, a5, a6, a7, a8) -> () #

(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) 
Instance details

Defined in Control.DeepSeq

Methods

rnf :: (a1, a2, a3, a4, a5, a6, a7, a8, a9) -> () #

class NFData1 (f :: Type -> Type) where #

A class of functors that can be fully evaluated.

Since: deepseq-1.4.3.0

Minimal complete definition

Nothing

Methods

liftRnf :: (a -> ()) -> f a -> () #

liftRnf should reduce its argument to normal form (that is, fully evaluate all sub-components), given an argument to reduce a arguments, and then return ().

See rnf for the generic deriving.

Instances

Instances details
NFData1 []

Since: deepseq-1.4.3.0

Instance details

Defined in Control.DeepSeq

Methods

liftRnf :: (a -> ()) -> [a] -> () #

NFData1 Maybe

Since: deepseq-1.4.3.0

Instance details

Defined in Control.DeepSeq

Methods

liftRnf :: (a -> ()) -> Maybe a -> () #

NFData1 Ratio

Available on base >=4.9

Since: deepseq-1.4.3.0

Instance details

Defined in Control.DeepSeq

Methods

liftRnf :: (a -> ()) -> Ratio a -> () #

NFData1 Ptr

Since: deepseq-1.4.3.0

Instance details

Defined in Control.DeepSeq

Methods

liftRnf :: (a -> ()) -> Ptr a -> () #

NFData1 FunPtr

Since: deepseq-1.4.3.0

Instance details

Defined in Control.DeepSeq

Methods

liftRnf :: (a -> ()) -> FunPtr a -> () #

NFData1 Min

Since: deepseq-1.4.3.0

Instance details

Defined in Control.DeepSeq

Methods

liftRnf :: (a -> ()) -> Min a -> () #

NFData1 Max

Since: deepseq-1.4.3.0

Instance details

Defined in Control.DeepSeq

Methods

liftRnf :: (a -> ()) -> Max a -> () #

NFData1 First

Since: deepseq-1.4.3.0

Instance details

Defined in Control.DeepSeq

Methods

liftRnf :: (a -> ()) -> First a -> () #

NFData1 Last

Since: deepseq-1.4.3.0

Instance details

Defined in Control.DeepSeq

Methods

liftRnf :: (a -> ()) -> Last a -> () #

NFData1 WrappedMonoid

Since: deepseq-1.4.3.0

Instance details

Defined in Control.DeepSeq

Methods

liftRnf :: (a -> ()) -> WrappedMonoid a -> () #

NFData1 Option

Since: deepseq-1.4.3.0

Instance details

Defined in Control.DeepSeq

Methods

liftRnf :: (a -> ()) -> Option a -> () #

NFData1 StableName

Since: deepseq-1.4.3.0

Instance details

Defined in Control.DeepSeq

Methods

liftRnf :: (a -> ()) -> StableName a -> () #

NFData1 ZipList

Since: deepseq-1.4.3.0

Instance details

Defined in Control.DeepSeq

Methods

liftRnf :: (a -> ()) -> ZipList a -> () #

NFData1 Identity

Since: deepseq-1.4.3.0

Instance details

Defined in Control.DeepSeq

Methods

liftRnf :: (a -> ()) -> Identity a -> () #

NFData1 IORef

Since: deepseq-1.4.3.0

Instance details

Defined in Control.DeepSeq

Methods

liftRnf :: (a -> ()) -> IORef a -> () #

NFData1 First

Since: deepseq-1.4.3.0

Instance details

Defined in Control.DeepSeq

Methods

liftRnf :: (a -> ()) -> First a -> () #

NFData1 Last

Since: deepseq-1.4.3.0

Instance details

Defined in Control.DeepSeq

Methods

liftRnf :: (a -> ()) -> Last a -> () #

NFData1 Dual

Since: deepseq-1.4.3.0

Instance details

Defined in Control.DeepSeq

Methods

liftRnf :: (a -> ()) -> Dual a -> () #

NFData1 Sum

Since: deepseq-1.4.3.0

Instance details

Defined in Control.DeepSeq

Methods

liftRnf :: (a -> ()) -> Sum a -> () #

NFData1 Product

Since: deepseq-1.4.3.0

Instance details

Defined in Control.DeepSeq

Methods

liftRnf :: (a -> ()) -> Product a -> () #

NFData1 Down

Since: deepseq-1.4.3.0

Instance details

Defined in Control.DeepSeq

Methods

liftRnf :: (a -> ()) -> Down a -> () #

NFData1 MVar

Since: deepseq-1.4.3.0

Instance details

Defined in Control.DeepSeq

Methods

liftRnf :: (a -> ()) -> MVar a -> () #

NFData1 NonEmpty

Since: deepseq-1.4.3.0

Instance details

Defined in Control.DeepSeq

Methods

liftRnf :: (a -> ()) -> NonEmpty a -> () #

NFData1 Vector 
Instance details

Defined in Data.Vector

Methods

liftRnf :: (a -> ()) -> Vector a -> () #

NFData1 Array 
Instance details

Defined in Data.Primitive.Array

Methods

liftRnf :: (a -> ()) -> Array a -> () #

NFData1 Vector 
Instance details

Defined in Data.Vector.Unboxed.Base

Methods

liftRnf :: (a -> ()) -> Vector a -> () #

NFData1 Vector 
Instance details

Defined in Data.Vector.Storable

Methods

liftRnf :: (a -> ()) -> Vector a -> () #

NFData1 SmallArray 
Instance details

Defined in Data.Primitive.SmallArray

Methods

liftRnf :: (a -> ()) -> SmallArray a -> () #

NFData1 HashSet 
Instance details

Defined in Data.HashSet.Internal

Methods

liftRnf :: (a -> ()) -> HashSet a -> () #

NFData1 Vector 
Instance details

Defined in Data.Vector.Primitive

Methods

liftRnf :: (a -> ()) -> Vector a -> () #

NFData a => NFData1 (Either a)

Since: deepseq-1.4.3.0

Instance details

Defined in Control.DeepSeq

Methods

liftRnf :: (a0 -> ()) -> Either a a0 -> () #

NFData a => NFData1 ((,) a)

Since: deepseq-1.4.3.0

Instance details

Defined in Control.DeepSeq

Methods

liftRnf :: (a0 -> ()) -> (a, a0) -> () #

NFData a => NFData1 (Array a)

Since: deepseq-1.4.3.0

Instance details

Defined in Control.DeepSeq

Methods

liftRnf :: (a0 -> ()) -> Array a a0 -> () #

NFData1 (Fixed :: Type -> Type)

Since: deepseq-1.4.3.0

Instance details

Defined in Control.DeepSeq

Methods

liftRnf :: (a -> ()) -> Fixed a -> () #

NFData a => NFData1 (Arg a)

Since: deepseq-1.4.3.0

Instance details

Defined in Control.DeepSeq

Methods

liftRnf :: (a0 -> ()) -> Arg a a0 -> () #

NFData1 (Proxy :: Type -> Type)

Since: deepseq-1.4.3.0

Instance details

Defined in Control.DeepSeq

Methods

liftRnf :: (a -> ()) -> Proxy a -> () #

NFData1 (STRef s)

Since: deepseq-1.4.3.0

Instance details

Defined in Control.DeepSeq

Methods

liftRnf :: (a -> ()) -> STRef s a -> () #

NFData1 (MVector s) 
Instance details

Defined in Data.Vector.Unboxed.Base

Methods

liftRnf :: (a -> ()) -> MVector s a -> () #

NFData k => NFData1 (HashMap k) 
Instance details

Defined in Data.HashMap.Internal

Methods

liftRnf :: (a -> ()) -> HashMap k a -> () #

NFData k => NFData1 (Leaf k) 
Instance details

Defined in Data.HashMap.Internal

Methods

liftRnf :: (a -> ()) -> Leaf k a -> () #

NFData1 (MVector s) 
Instance details

Defined in Data.Vector.Storable.Mutable

Methods

liftRnf :: (a -> ()) -> MVector s a -> () #

NFData1 (MVector s) 
Instance details

Defined in Data.Vector.Primitive.Mutable

Methods

liftRnf :: (a -> ()) -> MVector s a -> () #

(NFData a1, NFData a2) => NFData1 ((,,) a1 a2)

Since: deepseq-1.4.3.0

Instance details

Defined in Control.DeepSeq

Methods

liftRnf :: (a -> ()) -> (a1, a2, a) -> () #

NFData a => NFData1 (Const a :: Type -> Type)

Since: deepseq-1.4.3.0

Instance details

Defined in Control.DeepSeq

Methods

liftRnf :: (a0 -> ()) -> Const a a0 -> () #

NFData1 ((:~:) a)

Since: deepseq-1.4.3.0

Instance details

Defined in Control.DeepSeq

Methods

liftRnf :: (a0 -> ()) -> (a :~: a0) -> () #

(NFData a1, NFData a2, NFData a3) => NFData1 ((,,,) a1 a2 a3)

Since: deepseq-1.4.3.0

Instance details

Defined in Control.DeepSeq

Methods

liftRnf :: (a -> ()) -> (a1, a2, a3, a) -> () #

(NFData1 f, NFData1 g) => NFData1 (Product f g)

Since: deepseq-1.4.3.0

Instance details

Defined in Control.DeepSeq

Methods

liftRnf :: (a -> ()) -> Product f g a -> () #

(NFData1 f, NFData1 g) => NFData1 (Sum f g)

Since: deepseq-1.4.3.0

Instance details

Defined in Control.DeepSeq

Methods

liftRnf :: (a -> ()) -> Sum f g a -> () #

NFData1 ((:~~:) a :: Type -> Type)

Since: deepseq-1.4.3.0

Instance details

Defined in Control.DeepSeq

Methods

liftRnf :: (a0 -> ()) -> (a :~~: a0) -> () #

(NFData a1, NFData a2, NFData a3, NFData a4) => NFData1 ((,,,,) a1 a2 a3 a4)

Since: deepseq-1.4.3.0

Instance details

Defined in Control.DeepSeq

Methods

liftRnf :: (a -> ()) -> (a1, a2, a3, a4, a) -> () #

(NFData1 f, NFData1 g) => NFData1 (Compose f g)

Since: deepseq-1.4.3.0

Instance details

Defined in Control.DeepSeq

Methods

liftRnf :: (a -> ()) -> Compose f g a -> () #

(NFData a1, NFData a2, NFData a3, NFData a4, NFData a5) => NFData1 ((,,,,,) a1 a2 a3 a4 a5)

Since: deepseq-1.4.3.0

Instance details

Defined in Control.DeepSeq

Methods

liftRnf :: (a -> ()) -> (a1, a2, a3, a4, a5, a) -> () #

(NFData a1, NFData a2, NFData a3, NFData a4, NFData a5, NFData a6) => NFData1 ((,,,,,,) a1 a2 a3 a4 a5 a6)

Since: deepseq-1.4.3.0

Instance details

Defined in Control.DeepSeq

Methods

liftRnf :: (a -> ()) -> (a1, a2, a3, a4, a5, a6, a) -> () #

(NFData a1, NFData a2, NFData a3, NFData a4, NFData a5, NFData a6, NFData a7) => NFData1 ((,,,,,,,) a1 a2 a3 a4 a5 a6 a7)

Since: deepseq-1.4.3.0

Instance details

Defined in Control.DeepSeq

Methods

liftRnf :: (a -> ()) -> (a1, a2, a3, a4, a5, a6, a7, a) -> () #

(NFData a1, NFData a2, NFData a3, NFData a4, NFData a5, NFData a6, NFData a7, NFData a8) => NFData1 ((,,,,,,,,) a1 a2 a3 a4 a5 a6 a7 a8)

Since: deepseq-1.4.3.0

Instance details

Defined in Control.DeepSeq

Methods

liftRnf :: (a -> ()) -> (a1, a2, a3, a4, a5, a6, a7, a8, a) -> () #

class NFData2 (p :: Type -> Type -> Type) where #

A class of bifunctors that can be fully evaluated.

Since: deepseq-1.4.3.0

Methods

liftRnf2 :: (a -> ()) -> (b -> ()) -> p a b -> () #

liftRnf2 should reduce its argument to normal form (that is, fully evaluate all sub-components), given functions to reduce a and b arguments respectively, and then return ().

Note: Unlike for the unary liftRnf, there is currently no support for generically deriving liftRnf2.

Instances

Instances details
NFData2 Either

Since: deepseq-1.4.3.0

Instance details

Defined in Control.DeepSeq

Methods

liftRnf2 :: (a -> ()) -> (b -> ()) -> Either a b -> () #

NFData2 (,)

Since: deepseq-1.4.3.0

Instance details

Defined in Control.DeepSeq

Methods

liftRnf2 :: (a -> ()) -> (b -> ()) -> (a, b) -> () #

NFData2 Array

Since: deepseq-1.4.3.0

Instance details

Defined in Control.DeepSeq

Methods

liftRnf2 :: (a -> ()) -> (b -> ()) -> Array a b -> () #

NFData2 Arg

Since: deepseq-1.4.3.0

Instance details

Defined in Control.DeepSeq

Methods

liftRnf2 :: (a -> ()) -> (b -> ()) -> Arg a b -> () #

NFData2 STRef

Since: deepseq-1.4.3.0

Instance details

Defined in Control.DeepSeq

Methods

liftRnf2 :: (a -> ()) -> (b -> ()) -> STRef a b -> () #

NFData2 HashMap 
Instance details

Defined in Data.HashMap.Internal

Methods

liftRnf2 :: (a -> ()) -> (b -> ()) -> HashMap a b -> () #

NFData2 Leaf 
Instance details

Defined in Data.HashMap.Internal

Methods

liftRnf2 :: (a -> ()) -> (b -> ()) -> Leaf a b -> () #

NFData a1 => NFData2 ((,,) a1)

Since: deepseq-1.4.3.0

Instance details

Defined in Control.DeepSeq

Methods

liftRnf2 :: (a -> ()) -> (b -> ()) -> (a1, a, b) -> () #

NFData2 (Const :: Type -> Type -> Type)

Since: deepseq-1.4.3.0

Instance details

Defined in Control.DeepSeq

Methods

liftRnf2 :: (a -> ()) -> (b -> ()) -> Const a b -> () #

NFData2 ((:~:) :: Type -> Type -> Type)

Since: deepseq-1.4.3.0

Instance details

Defined in Control.DeepSeq

Methods

liftRnf2 :: (a -> ()) -> (b -> ()) -> (a :~: b) -> () #

(NFData a1, NFData a2) => NFData2 ((,,,) a1 a2)

Since: deepseq-1.4.3.0

Instance details

Defined in Control.DeepSeq

Methods

liftRnf2 :: (a -> ()) -> (b -> ()) -> (a1, a2, a, b) -> () #

NFData2 ((:~~:) :: Type -> Type -> Type)

Since: deepseq-1.4.3.0

Instance details

Defined in Control.DeepSeq

Methods

liftRnf2 :: (a -> ()) -> (b -> ()) -> (a :~~: b) -> () #

(NFData a1, NFData a2, NFData a3) => NFData2 ((,,,,) a1 a2 a3)

Since: deepseq-1.4.3.0

Instance details

Defined in Control.DeepSeq

Methods

liftRnf2 :: (a -> ()) -> (b -> ()) -> (a1, a2, a3, a, b) -> () #

(NFData a1, NFData a2, NFData a3, NFData a4) => NFData2 ((,,,,,) a1 a2 a3 a4)

Since: deepseq-1.4.3.0

Instance details

Defined in Control.DeepSeq

Methods

liftRnf2 :: (a -> ()) -> (b -> ()) -> (a1, a2, a3, a4, a, b) -> () #

(NFData a1, NFData a2, NFData a3, NFData a4, NFData a5) => NFData2 ((,,,,,,) a1 a2 a3 a4 a5)

Since: deepseq-1.4.3.0

Instance details

Defined in Control.DeepSeq

Methods

liftRnf2 :: (a -> ()) -> (b -> ()) -> (a1, a2, a3, a4, a5, a, b) -> () #

(NFData a1, NFData a2, NFData a3, NFData a4, NFData a5, NFData a6) => NFData2 ((,,,,,,,) a1 a2 a3 a4 a5 a6)

Since: deepseq-1.4.3.0

Instance details

Defined in Control.DeepSeq

Methods

liftRnf2 :: (a -> ()) -> (b -> ()) -> (a1, a2, a3, a4, a5, a6, a, b) -> () #

(NFData a1, NFData a2, NFData a3, NFData a4, NFData a5, NFData a6, NFData a7) => NFData2 ((,,,,,,,,) a1 a2 a3 a4 a5 a6 a7)

Since: deepseq-1.4.3.0

Instance details

Defined in Control.DeepSeq

Methods

liftRnf2 :: (a -> ()) -> (b -> ()) -> (a1, a2, a3, a4, a5, a6, a7, a, b) -> () #

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 b
  • exp (fromInteger 0) = fromInteger 1

Minimal complete definition

pi, exp, log, sin, cos, asin, acos, atan, sinh, cosh, asinh, acosh, atanh

Methods

pi :: a #

exp :: a -> a #

log :: a -> a #

sqrt :: a -> a #

(**) :: a -> a -> a infixr 8 #

logBase :: a -> a -> a #

sin :: a -> a #

cos :: a -> a #

tan :: a -> a #

asin :: a -> a #

acos :: a -> a #

atan :: a -> a #

sinh :: a -> a #

cosh :: a -> a #

tanh :: a -> a #

asinh :: a -> a #

acosh :: a -> a #

atanh :: a -> a #

log1pexp :: a -> a #

log1pexp x computes log (1 + exp x), but provides more precise results if possible.

Examples:

  • if x is a large negative number, log (1 + exp x) will be imprecise for the reasons given in log1p.
  • if exp x is close to -1, log (1 + exp x) will be imprecise for the reasons given in expm1.

Since: base-4.9.0.0

log1mexp :: a -> a #

log1mexp x computes log (1 - exp x), but provides more precise results if possible.

Examples:

  • if x is a large negative number, log (1 - exp x) will be imprecise for the reasons given in log1p.
  • if exp x is close to 1, log (1 - exp x) will be imprecise for the reasons given in expm1.

Since: base-4.9.0.0

Instances

Instances details
Floating Double

Since: base-2.1

Instance details

Defined in GHC.Float

Floating Float

Since: base-2.1

Instance details

Defined in GHC.Float

Floating CFloat 
Instance details

Defined in Foreign.C.Types

Floating CDouble 
Instance details

Defined in Foreign.C.Types

RealFloat a => Floating (Complex a)

Since: base-2.1

Instance details

Defined in Data.Complex

Methods

pi :: Complex a #

exp :: Complex a -> Complex a #

log :: Complex a -> Complex a #

sqrt :: Complex a -> Complex a #

(**) :: Complex a -> Complex a -> Complex a #

logBase :: Complex a -> Complex a -> Complex a #

sin :: Complex a -> Complex a #

cos :: Complex a -> Complex a #

tan :: Complex a -> Complex a #

asin :: Complex a -> Complex a #

acos :: Complex a -> Complex a #

atan :: Complex a -> Complex a #

sinh :: Complex a -> Complex a #

cosh :: Complex a -> Complex a #

tanh :: Complex a -> Complex a #

asinh :: Complex a -> Complex a #

acosh :: Complex a -> Complex a #

atanh :: Complex a -> Complex a #

log1p :: Complex a -> Complex a #

expm1 :: Complex a -> Complex a #

log1pexp :: Complex a -> Complex a #

log1mexp :: Complex a -> Complex a #

Floating a => Floating (Identity a)

Since: base-4.9.0.0

Instance details

Defined in Data.Functor.Identity

Floating a => Floating (Down a)

Since: base-4.14.0.0

Instance details

Defined in Data.Ord

Methods

pi :: Down a #

exp :: Down a -> Down a #

log :: Down a -> Down a #

sqrt :: Down a -> Down a #

(**) :: Down a -> Down a -> Down a #

logBase :: Down a -> Down a -> Down a #

sin :: Down a -> Down a #

cos :: Down a -> Down a #

tan :: Down a -> Down a #

asin :: Down a -> Down a #

acos :: Down a -> Down a #

atan :: Down a -> Down a #

sinh :: Down a -> Down a #

cosh :: Down a -> Down a #

tanh :: Down a -> Down a #

asinh :: Down a -> Down a #

acosh :: Down a -> Down a #

atanh :: Down a -> Down a #

log1p :: Down a -> Down a #

expm1 :: Down a -> Down a #

log1pexp :: Down a -> Down a #

log1mexp :: Down a -> Down a #

Floating a => Floating (Const a b)

Since: base-4.9.0.0

Instance details

Defined in Data.Functor.Const

Methods

pi :: Const a b #

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 #

log1pexp :: Const a b -> Const a b #

log1mexp :: Const a b -> Const a b #

Floating a => Floating (Tagged s a) 
Instance details

Defined in Data.Tagged

Methods

pi :: Tagged s a #

exp :: Tagged s a -> Tagged s a #

log :: Tagged s a -> Tagged s a #

sqrt :: Tagged s a -> Tagged s a #

(**) :: Tagged s a -> Tagged s a -> Tagged s a #

logBase :: Tagged s a -> Tagged s a -> Tagged s a #

sin :: Tagged s a -> Tagged s a #

cos :: Tagged s a -> Tagged s a #

tan :: Tagged s a -> Tagged s a #

asin :: Tagged s a -> Tagged s a #

acos :: Tagged s a -> Tagged s a #

atan :: Tagged s a -> Tagged s a #

sinh :: Tagged s a -> Tagged s a #

cosh :: Tagged s a -> Tagged s a #

tanh :: Tagged s a -> Tagged s a #

asinh :: Tagged s a -> Tagged s a #

acosh :: Tagged s a -> Tagged s a #

atanh :: Tagged s a -> Tagged s a #

log1p :: Tagged s a -> Tagged s a #

expm1 :: Tagged s a -> Tagged s a #

log1pexp :: Tagged s a -> Tagged s a #

log1mexp :: Tagged s a -> Tagged s a #

(KnownNat m, KnownNat n, Numeric x, Floating x) => Floating (Matrix Vector m n x) Source # 
Instance details

Defined in Goal.Core.Vector.Generic

Methods

pi :: Matrix Vector m n x #

exp :: Matrix Vector m n x -> Matrix Vector m n x #

log :: Matrix Vector m n x -> Matrix Vector m n x #

sqrt :: Matrix Vector m n x -> Matrix Vector m n x #

(**) :: Matrix Vector m n x -> Matrix Vector m n x -> Matrix Vector m n x #

logBase :: Matrix Vector m n x -> Matrix Vector m n x -> Matrix Vector m n x #

sin :: Matrix Vector m n x -> Matrix Vector m n x #

cos :: Matrix Vector m n x -> Matrix Vector m n x #

tan :: Matrix Vector m n x -> Matrix Vector m n x #

asin :: Matrix Vector m n x -> Matrix Vector m n x #

acos :: Matrix Vector m n x -> Matrix Vector m n x #

atan :: Matrix Vector m n x -> Matrix Vector m n x #

sinh :: Matrix Vector m n x -> Matrix Vector m n x #

cosh :: Matrix Vector m n x -> Matrix Vector m n x #

tanh :: Matrix Vector m n x -> Matrix Vector m n x #

asinh :: Matrix Vector m n x -> Matrix Vector m n x #

acosh :: Matrix Vector m n x -> Matrix Vector m n x #

atanh :: Matrix Vector m n x -> Matrix Vector m n x #

log1p :: Matrix Vector m n x -> Matrix Vector m n x #

expm1 :: Matrix Vector m n x -> Matrix Vector m n x #

log1pexp :: Matrix Vector m n x -> Matrix Vector m n x #

log1mexp :: Matrix Vector m n x -> Matrix Vector m n x #

showOct :: (Integral a, Show a) => a -> ShowS #

Show non-negative Integral numbers in base 8.

showHex :: (Integral a, Show a) => a -> ShowS #

Show non-negative Integral numbers in base 16.

showIntAtBase :: (Integral a, Show a) => a -> (Int -> Char) -> a -> ShowS #

Shows a non-negative Integral number using the base specified by the first argument, and the character representation specified by the second.

showHFloat :: RealFloat a => a -> ShowS #

Show a floating-point value in the hexadecimal format, similar to the %a specifier in C's printf.

>>> showHFloat (212.21 :: Double) ""
"0x1.a86b851eb851fp7"
>>> showHFloat (-12.76 :: Float) ""
"-0x1.9851ecp3"
>>> showHFloat (-0 :: Double) ""
"-0x0p+0"

showGFloatAlt :: RealFloat a => Maybe Int -> a -> ShowS #

Show a signed RealFloat value using standard decimal notation for arguments whose absolute value lies between 0.1 and 9,999,999, and scientific notation otherwise.

This behaves as showFFloat, except that a decimal point is always guaranteed, even if not needed.

Since: base-4.7.0.0

showFFloatAlt :: RealFloat a => Maybe Int -> a -> ShowS #

Show a signed RealFloat value using standard decimal notation (e.g. 245000, 0.0015).

This behaves as showFFloat, except that a decimal point is always guaranteed, even if not needed.

Since: base-4.7.0.0

showGFloat :: RealFloat a => Maybe Int -> a -> ShowS #

Show a signed RealFloat value using standard decimal notation for arguments whose absolute value lies between 0.1 and 9,999,999, and scientific notation otherwise.

In the call showGFloat digs val, if digs is Nothing, the value is shown to full precision; if digs is Just d, then at most d digits after the decimal point are shown.

showFFloat :: RealFloat a => Maybe Int -> a -> ShowS #

Show a signed RealFloat value using standard decimal notation (e.g. 245000, 0.0015).

In the call showFFloat digs val, if digs is Nothing, the value is shown to full precision; if digs is Just d, then at most d digits after the decimal point are shown.

showEFloat :: RealFloat a => Maybe Int -> a -> ShowS #

Show a signed RealFloat value using scientific (exponential) notation (e.g. 2.45e2, 1.5e-3).

In the call showEFloat digs val, if digs is Nothing, the value is shown to full precision; if digs is Just d, then at most d digits after the decimal point are shown.

showInt :: Integral a => a -> ShowS #

Show non-negative Integral numbers in base 10.

readSigned :: Real a => ReadS a -> ReadS a #

Reads a signed Real value, given a reader for an unsigned value.

readFloat :: RealFrac a => ReadS a #

Reads an unsigned RealFrac value, expressed in decimal scientific notation.

readHex :: (Eq a, Num a) => ReadS a #

Read an unsigned number in hexadecimal notation. Both upper or lower case letters are allowed.

>>> readHex "deadbeef"
[(3735928559,"")]

readDec :: (Eq a, Num a) => ReadS a #

Read an unsigned number in decimal notation.

>>> readDec "0644"
[(644,"")]

readOct :: (Eq a, Num a) => ReadS a #

Read an unsigned number in octal notation.

>>> readOct "0644"
[(420,"")]

readInt #

Arguments

:: Num a 
=> a

the base

-> (Char -> Bool)

a predicate distinguishing valid digits in this base

-> (Char -> Int)

a function converting a valid digit character to an Int

-> ReadS a 

Reads an unsigned Integral value in an arbitrary base.

lexDigits :: ReadS String #

Reads a non-empty string of decimal digits.

fromRat :: RealFloat a => Rational -> a #

Converts a Rational value into any type in class RealFloat.

floatToDigits :: RealFloat a => Integer -> a -> ([Int], Int) #

floatToDigits takes a base and a non-negative RealFloat number, and returns a list of digits and an exponent. In particular, if x>=0, and

floatToDigits base x = ([d1,d2,...,dn], e)

then

  1. n >= 1
  2. x = 0.d1d2...dn * (base**e)
  3. 0 <= di <= base-1

showFloat :: RealFloat a => a -> ShowS #

Show a signed RealFloat value to full precision using standard decimal notation for arguments whose absolute value lies between 0.1 and 9,999,999, and scientific notation otherwise.

showSigned #

Arguments

:: Real a 
=> (a -> ShowS)

a function that can show unsigned values

-> Int

the precedence of the enclosing context

-> a

the value to show

-> ShowS 

Converts a possibly-negative Real value to a string.

class KnownNat (n :: Nat) #

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

data Nat #

(Kind) This is the kind of type-level natural numbers.

Instances

Instances details
KnownNat n => HasResolution (n :: Nat)

For example, Fixed 1000 will give you a Fixed with a resolution of 1000.

Instance details

Defined in Data.Fixed

Methods

resolution :: p n -> Integer #

(KnownNat a, KnownNat b) => KnownBoolNat2 "GHC.TypeNats.<=?" (a :: Nat) (b :: Nat) 
Instance details

Defined in GHC.TypeLits.KnownNat

Methods

boolNatSing2 :: SBoolKb "GHC.TypeNats.<=?"

(KnownBool a, KnownNat b, KnownNat c) => KnownNat2Bool "Data.Type.Bool.If" a (b :: Nat) (c :: Nat) 
Instance details

Defined in GHC.TypeLits.KnownNat

Methods

natBoolSing3 :: SNatKn "Data.Type.Bool.If"

type family (a :: Nat) + (b :: Nat) :: Nat where ... infixl 6 #

Addition of type-level naturals.

Since: base-4.7.0.0

type family (a :: Nat) * (b :: Nat) :: Nat where ... infixl 7 #

Multiplication of type-level naturals.

Since: base-4.7.0.0

type family (a :: Nat) ^ (b :: Nat) :: Nat where ... infixr 8 #

Exponentiation of type-level naturals.

Since: base-4.7.0.0

type family (a :: Nat) <=? (b :: Nat) :: Bool where ... infix 4 #

Comparison of type-level naturals, as a function. NOTE: The functionality for this function should be subsumed by CmpNat, so this might go away in the future. Please let us know, if you encounter discrepancies between the two.

type family (a :: Nat) - (b :: Nat) :: Nat where ... infixl 6 #

Subtraction of type-level naturals.

Since: base-4.7.0.0

type family CmpNat (a :: Nat) (b :: Nat) :: Ordering where ... #

Comparison of type-level naturals, as a function.

Since: base-4.7.0.0

type family Div (a :: Nat) (b :: Nat) :: Nat where ... infixl 7 #

Division (round down) of natural numbers. Div x 0 is undefined (i.e., it cannot be reduced).

Since: base-4.11.0.0

type family Log2 (a :: Nat) :: Nat where ... #

Log base 2 (round down) of natural numbers. Log 0 is undefined (i.e., it cannot be reduced).

Since: base-4.11.0.0

sameNat :: forall (a :: Nat) (b :: Nat). (KnownNat a, KnownNat b) => Proxy a -> Proxy b -> Maybe (a :~: b) #

We either get evidence that this function was instantiated with the same type-level numbers, or Nothing.

Since: base-4.7.0.0

someNatVal :: Natural -> SomeNat #

Convert an integer into an unknown type-level natural.

Since: base-4.10.0.0

natVal' :: forall (n :: Nat). KnownNat n => Proxy# n -> Natural #

Since: base-4.10.0.0

natVal :: forall (n :: Nat) proxy. KnownNat n => proxy n -> Natural #

Since: base-4.10.0.0

data SomeNat #

This type represents unknown type-level natural numbers.

Since: base-4.10.0.0

Constructors

KnownNat n => SomeNat (Proxy n) 

Instances

Instances details
Eq SomeNat

Since: base-4.7.0.0

Instance details

Defined in GHC.TypeNats

Methods

(==) :: SomeNat -> SomeNat -> Bool #

(/=) :: SomeNat -> SomeNat -> Bool #

Ord SomeNat

Since: base-4.7.0.0

Instance details

Defined in GHC.TypeNats

Read SomeNat

Since: base-4.7.0.0

Instance details

Defined in GHC.TypeNats

Show SomeNat

Since: base-4.7.0.0

Instance details

Defined in GHC.TypeNats

type (<=) (x :: Nat) (y :: Nat) = (x <=? y) ~ 'True infix 4 #

Comparison of type-level naturals, as a constraint.

Since: base-4.7.0.0

class Generic a #

Representable types of kind *. This class is derivable in GHC with the DeriveGeneric flag on.

A Generic instance must satisfy the following laws:

from . toid
to . fromid

Minimal complete definition

from, to

Instances

Instances details
Generic Bool

Since: base-4.6.0.0

Instance details

Defined in GHC.Generics

Associated Types

type Rep Bool :: Type -> Type #

Methods

from :: Bool -> Rep Bool x #

to :: Rep Bool x -> Bool #

Generic Ordering

Since: base-4.6.0.0

Instance details

Defined in GHC.Generics

Associated Types

type Rep Ordering :: Type -> Type #

Methods

from :: Ordering -> Rep Ordering x #

to :: Rep Ordering x -> Ordering #

Generic Exp 
Instance details

Defined in Language.Haskell.TH.Syntax

Associated Types

type Rep Exp :: Type -> Type #

Methods

from :: Exp -> Rep Exp x #

to :: Rep Exp x -> Exp #

Generic Match 
Instance details

Defined in Language.Haskell.TH.Syntax

Associated Types

type Rep Match :: Type -> Type #

Methods

from :: Match -> Rep Match x #

to :: Rep Match x -> Match #

Generic Clause 
Instance details

Defined in Language.Haskell.TH.Syntax

Associated Types

type Rep Clause :: Type -> Type #

Methods

from :: Clause -> Rep Clause x #

to :: Rep Clause x -> Clause #

Generic Pat 
Instance details

Defined in Language.Haskell.TH.Syntax

Associated Types

type Rep Pat :: Type -> Type #

Methods

from :: Pat -> Rep Pat x #

to :: Rep Pat x -> Pat #

Generic Type 
Instance details

Defined in Language.Haskell.TH.Syntax

Associated Types

type Rep Type :: Type -> Type #

Methods

from :: Type -> Rep Type x #

to :: Rep Type x -> Type #

Generic Dec 
Instance details

Defined in Language.Haskell.TH.Syntax

Associated Types

type Rep Dec :: Type -> Type #

Methods

from :: Dec -> Rep Dec x #

to :: Rep Dec x -> Dec #

Generic Name 
Instance details

Defined in Language.Haskell.TH.Syntax

Associated Types

type Rep Name :: Type -> Type #

Methods

from :: Name -> Rep Name x #

to :: Rep Name x -> Name #

Generic FunDep 
Instance details

Defined in Language.Haskell.TH.Syntax

Associated Types

type Rep FunDep :: Type -> Type #

Methods

from :: FunDep -> Rep FunDep x #

to :: Rep FunDep x -> FunDep #

Generic InjectivityAnn 
Instance details

Defined in Language.Haskell.TH.Syntax

Associated Types

type Rep InjectivityAnn :: Type -> Type #

Generic Overlap 
Instance details

Defined in Language.Haskell.TH.Syntax

Associated Types

type Rep Overlap :: Type -> Type #

Methods

from :: Overlap -> Rep Overlap x #

to :: Rep Overlap x -> Overlap #

Generic ()

Since: base-4.6.0.0

Instance details

Defined in GHC.Generics

Associated Types

type Rep () :: Type -> Type #

Methods

from :: () -> Rep () x #

to :: Rep () x -> () #

Generic Void

Since: base-4.8.0.0

Instance details

Defined in Data.Void

Associated Types

type Rep Void :: Type -> Type #

Methods

from :: Void -> Rep Void x #

to :: Rep Void x -> Void #

Generic Version

Since: base-4.9.0.0

Instance details

Defined in Data.Version

Associated Types

type Rep Version :: Type -> Type #

Methods

from :: Version -> Rep Version x #

to :: Rep Version x -> Version #

Generic ExitCode 
Instance details

Defined in GHC.IO.Exception

Associated Types

type Rep ExitCode :: Type -> Type #

Methods

from :: ExitCode -> Rep ExitCode x #

to :: Rep ExitCode x -> ExitCode #

Generic All

Since: base-4.7.0.0

Instance details

Defined in Data.Semigroup.Internal

Associated Types

type Rep All :: Type -> Type #

Methods

from :: All -> Rep All x #

to :: Rep All x -> All #

Generic Any

Since: base-4.7.0.0

Instance details

Defined in Data.Semigroup.Internal

Associated Types

type Rep Any :: Type -> Type #

Methods

from :: Any -> Rep Any x #

to :: Rep Any x -> Any #

Generic Fixity

Since: base-4.7.0.0

Instance details

Defined in GHC.Generics

Associated Types

type Rep Fixity :: Type -> Type #

Methods

from :: Fixity -> Rep Fixity x #

to :: Rep Fixity x -> Fixity #

Generic Associativity

Since: base-4.7.0.0

Instance details

Defined in GHC.Generics

Associated Types

type Rep Associativity :: Type -> Type #

Generic SourceUnpackedness

Since: base-4.9.0.0

Instance details

Defined in GHC.Generics

Associated Types

type Rep SourceUnpackedness :: Type -> Type #

Generic SourceStrictness

Since: base-4.9.0.0

Instance details

Defined in GHC.Generics

Associated Types

type Rep SourceStrictness :: Type -> Type #

Generic DecidedStrictness

Since: base-4.9.0.0

Instance details

Defined in GHC.Generics

Associated Types

type Rep DecidedStrictness :: Type -> Type #

Generic Extension 
Instance details

Defined in GHC.LanguageExtensions.Type

Associated Types

type Rep Extension :: Type -> Type #

Generic ForeignSrcLang 
Instance details

Defined in GHC.ForeignSrcLang.Type

Associated Types

type Rep ForeignSrcLang :: Type -> Type #

Generic Doc 
Instance details

Defined in Text.PrettyPrint.HughesPJ

Associated Types

type Rep Doc :: Type -> Type #

Methods

from :: Doc -> Rep Doc x #

to :: Rep Doc x -> Doc #

Generic TextDetails 
Instance details

Defined in Text.PrettyPrint.Annotated.HughesPJ

Associated Types

type Rep TextDetails :: Type -> Type #

Generic Style 
Instance details

Defined in Text.PrettyPrint.Annotated.HughesPJ

Associated Types

type Rep Style :: Type -> Type #

Methods

from :: Style -> Rep Style x #

to :: Rep Style x -> Style #

Generic Mode 
Instance details

Defined in Text.PrettyPrint.Annotated.HughesPJ

Associated Types

type Rep Mode :: Type -> Type #

Methods

from :: Mode -> Rep Mode x #

to :: Rep Mode x -> Mode #

Generic ModName 
Instance details

Defined in Language.Haskell.TH.Syntax

Associated Types

type Rep ModName :: Type -> Type #

Methods

from :: ModName -> Rep ModName x #

to :: Rep ModName x -> ModName #

Generic PkgName 
Instance details

Defined in Language.Haskell.TH.Syntax

Associated Types

type Rep PkgName :: Type -> Type #

Methods

from :: PkgName -> Rep PkgName x #

to :: Rep PkgName x -> PkgName #

Generic Module 
Instance details

Defined in Language.Haskell.TH.Syntax

Associated Types

type Rep Module :: Type -> Type #

Methods

from :: Module -> Rep Module x #

to :: Rep Module x -> Module #

Generic OccName 
Instance details

Defined in Language.Haskell.TH.Syntax

Associated Types

type Rep OccName :: Type -> Type #

Methods

from :: OccName -> Rep OccName x #

to :: Rep OccName x -> OccName #

Generic NameFlavour 
Instance details

Defined in Language.Haskell.TH.Syntax

Associated Types

type Rep NameFlavour :: Type -> Type #

Generic NameSpace 
Instance details

Defined in Language.Haskell.TH.Syntax

Associated Types

type Rep NameSpace :: Type -> Type #

Generic Loc 
Instance details

Defined in Language.Haskell.TH.Syntax

Associated Types

type Rep Loc :: Type -> Type #

Methods

from :: Loc -> Rep Loc x #

to :: Rep Loc x -> Loc #

Generic Info 
Instance details

Defined in Language.Haskell.TH.Syntax

Associated Types

type Rep Info :: Type -> Type #

Methods

from :: Info -> Rep Info x #

to :: Rep Info x -> Info #

Generic ModuleInfo 
Instance details

Defined in Language.Haskell.TH.Syntax

Associated Types

type Rep ModuleInfo :: Type -> Type #

Generic Fixity 
Instance details

Defined in Language.Haskell.TH.Syntax

Associated Types

type Rep Fixity :: Type -> Type #

Methods

from :: Fixity -> Rep Fixity x #

to :: Rep Fixity x -> Fixity #

Generic FixityDirection 
Instance details

Defined in Language.Haskell.TH.Syntax

Associated Types

type Rep FixityDirection :: Type -> Type #

Generic Lit 
Instance details

Defined in Language.Haskell.TH.Syntax

Associated Types

type Rep Lit :: Type -> Type #

Methods

from :: Lit -> Rep Lit x #

to :: Rep Lit x -> Lit #

Generic Bytes 
Instance details

Defined in Language.Haskell.TH.Syntax

Associated Types

type Rep Bytes :: Type -> Type #

Methods

from :: Bytes -> Rep Bytes x #

to :: Rep Bytes x -> Bytes #

Generic Body 
Instance details

Defined in Language.Haskell.TH.Syntax

Associated Types

type Rep Body :: Type -> Type #

Methods

from :: Body -> Rep Body x #

to :: Rep Body x -> Body #

Generic Guard 
Instance details

Defined in Language.Haskell.TH.Syntax

Associated Types

type Rep Guard :: Type -> Type #

Methods

from :: Guard -> Rep Guard x #

to :: Rep Guard x -> Guard #

Generic Stmt 
Instance details

Defined in Language.Haskell.TH.Syntax

Associated Types

type Rep Stmt :: Type -> Type #

Methods

from :: Stmt -> Rep Stmt x #

to :: Rep Stmt x -> Stmt #

Generic Range 
Instance details

Defined in Language.Haskell.TH.Syntax

Associated Types

type Rep Range :: Type -> Type #

Methods

from :: Range -> Rep Range x #

to :: Rep Range x -> Range #

Generic DerivClause 
Instance details

Defined in Language.Haskell.TH.Syntax

Associated Types

type Rep DerivClause :: Type -> Type #

Generic DerivStrategy 
Instance details

Defined in Language.Haskell.TH.Syntax

Associated Types

type Rep DerivStrategy :: Type -> Type #

Generic TypeFamilyHead 
Instance details

Defined in Language.Haskell.TH.Syntax

Associated Types

type Rep TypeFamilyHead :: Type -> Type #

Generic TySynEqn 
Instance details

Defined in Language.Haskell.TH.Syntax

Associated Types

type Rep TySynEqn :: Type -> Type #

Methods

from :: TySynEqn -> Rep TySynEqn x #

to :: Rep TySynEqn x -> TySynEqn #

Generic Foreign 
Instance details

Defined in Language.Haskell.TH.Syntax

Associated Types

type Rep Foreign :: Type -> Type #

Methods

from :: Foreign -> Rep Foreign x #

to :: Rep Foreign x -> Foreign #

Generic Callconv 
Instance details

Defined in Language.Haskell.TH.Syntax

Associated Types

type Rep Callconv :: Type -> Type #

Methods

from :: Callconv -> Rep Callconv x #

to :: Rep Callconv x -> Callconv #

Generic Safety 
Instance details

Defined in Language.Haskell.TH.Syntax

Associated Types

type Rep Safety :: Type -> Type #

Methods

from :: Safety -> Rep Safety x #

to :: Rep Safety x -> Safety #

Generic Pragma 
Instance details

Defined in Language.Haskell.TH.Syntax

Associated Types

type Rep Pragma :: Type -> Type #

Methods

from :: Pragma -> Rep Pragma x #

to :: Rep Pragma x -> Pragma #

Generic Inline 
Instance details

Defined in Language.Haskell.TH.Syntax

Associated Types

type Rep Inline :: Type -> Type #

Methods

from :: Inline -> Rep Inline x #

to :: Rep Inline x -> Inline #

Generic RuleMatch 
Instance details

Defined in Language.Haskell.TH.Syntax

Associated Types

type Rep RuleMatch :: Type -> Type #

Generic Phases 
Instance details

Defined in Language.Haskell.TH.Syntax

Associated Types

type Rep Phases :: Type -> Type #

Methods

from :: Phases -> Rep Phases x #

to :: Rep Phases x -> Phases #

Generic RuleBndr 
Instance details

Defined in Language.Haskell.TH.Syntax

Associated Types

type Rep RuleBndr :: Type -> Type #

Methods

from :: RuleBndr -> Rep RuleBndr x #

to :: Rep RuleBndr x -> RuleBndr #

Generic AnnTarget 
Instance details

Defined in Language.Haskell.TH.Syntax

Associated Types

type Rep AnnTarget :: Type -> Type #

Generic SourceUnpackedness 
Instance details

Defined in Language.Haskell.TH.Syntax

Associated Types

type Rep SourceUnpackedness :: Type -> Type #

Generic SourceStrictness 
Instance details

Defined in Language.Haskell.TH.Syntax

Associated Types

type Rep SourceStrictness :: Type -> Type #

Generic DecidedStrictness 
Instance details

Defined in Language.Haskell.TH.Syntax

Associated Types

type Rep DecidedStrictness :: Type -> Type #

Generic Con 
Instance details

Defined in Language.Haskell.TH.Syntax

Associated Types

type Rep Con :: Type -> Type #

Methods

from :: Con -> Rep Con x #

to :: Rep Con x -> Con #

Generic Bang 
Instance details

Defined in Language.Haskell.TH.Syntax

Associated Types

type Rep Bang :: Type -> Type #

Methods

from :: Bang -> Rep Bang x #

to :: Rep Bang x -> Bang #

Generic PatSynDir 
Instance details

Defined in Language.Haskell.TH.Syntax

Associated Types

type Rep PatSynDir :: Type -> Type #

Generic PatSynArgs 
Instance details

Defined in Language.Haskell.TH.Syntax

Associated Types

type Rep PatSynArgs :: Type -> Type #

Generic TyVarBndr 
Instance details

Defined in Language.Haskell.TH.Syntax

Associated Types

type Rep TyVarBndr :: Type -> Type #

Generic FamilyResultSig 
Instance details

Defined in Language.Haskell.TH.Syntax

Associated Types

type Rep FamilyResultSig :: Type -> Type #

Generic TyLit 
Instance details

Defined in Language.Haskell.TH.Syntax

Associated Types

type Rep TyLit :: Type -> Type #

Methods

from :: TyLit -> Rep TyLit x #

to :: Rep TyLit x -> TyLit #

Generic Role 
Instance details

Defined in Language.Haskell.TH.Syntax

Associated Types

type Rep Role :: Type -> Type #

Methods

from :: Role -> Rep Role x #

to :: Rep Role x -> Role #

Generic AnnLookup 
Instance details

Defined in Language.Haskell.TH.Syntax

Associated Types

type Rep AnnLookup :: Type -> Type #

Generic NewtonParam 
Instance details

Defined in Numeric.RootFinding

Associated Types

type Rep NewtonParam :: Type -> Type #

Methods

from :: NewtonParam -> Rep NewtonParam x #

to :: Rep NewtonParam x -> NewtonParam #

Generic NewtonStep 
Instance details

Defined in Numeric.RootFinding

Associated Types

type Rep NewtonStep :: Type -> Type #

Methods

from :: NewtonStep -> Rep NewtonStep x #

to :: Rep NewtonStep x -> NewtonStep #

Generic RiddersParam 
Instance details

Defined in Numeric.RootFinding

Associated Types

type Rep RiddersParam :: Type -> Type #

Methods

from :: RiddersParam -> Rep RiddersParam x #

to :: Rep RiddersParam x -> RiddersParam #

Generic RiddersStep 
Instance details

Defined in Numeric.RootFinding

Associated Types

type Rep RiddersStep :: Type -> Type #

Methods

from :: RiddersStep -> Rep RiddersStep x #

to :: Rep RiddersStep x -> RiddersStep #

Generic Tolerance 
Instance details

Defined in Numeric.RootFinding

Associated Types

type Rep Tolerance :: Type -> Type #

Methods

from :: Tolerance -> Rep Tolerance x #

to :: Rep Tolerance x -> Tolerance #

Generic [a]

Since: base-4.6.0.0

Instance details

Defined in GHC.Generics

Associated Types

type Rep [a] :: Type -> Type #

Methods

from :: [a] -> Rep [a] x #

to :: Rep [a] x -> [a] #

Generic (Maybe a)

Since: base-4.6.0.0

Instance details

Defined in GHC.Generics

Associated Types

type Rep (Maybe a) :: Type -> Type #

Methods

from :: Maybe a -> Rep (Maybe a) x #

to :: Rep (Maybe a) x -> Maybe a #

Generic (Par1 p)

Since: base-4.7.0.0

Instance details

Defined in GHC.Generics

Associated Types

type Rep (Par1 p) :: Type -> Type #

Methods

from :: Par1 p -> Rep (Par1 p) x #

to :: Rep (Par1 p) x -> Par1 p #

Generic (Complex a)

Since: base-4.9.0.0

Instance details

Defined in Data.Complex

Associated Types

type Rep (Complex a) :: Type -> Type #

Methods

from :: Complex a -> Rep (Complex a) x #

to :: Rep (Complex a) x -> Complex a #

Generic (Min a)

Since: base-4.9.0.0

Instance details

Defined in Data.Semigroup

Associated Types

type Rep (Min a) :: Type -> Type #

Methods

from :: Min a -> Rep (Min a) x #

to :: Rep (Min a) x -> Min a #

Generic (Max a)

Since: base-4.9.0.0

Instance details

Defined in Data.Semigroup

Associated Types

type Rep (Max a) :: Type -> Type #

Methods

from :: Max a -> Rep (Max a) x #

to :: Rep (Max a) x -> Max a #

Generic (First a)

Since: base-4.9.0.0

Instance details

Defined in Data.Semigroup

Associated Types

type Rep (First a) :: Type -> Type #

Methods

from :: First a -> Rep (First a) x #

to :: Rep (First a) x -> First a #

Generic (Last a)

Since: base-4.9.0.0

Instance details

Defined in Data.Semigroup

Associated Types

type Rep (Last a) :: Type -> Type #

Methods

from :: Last a -> Rep (Last a) x #

to :: Rep (Last a) x -> Last a #

Generic (WrappedMonoid m)

Since: base-4.9.0.0

Instance details

Defined in Data.Semigroup

Associated Types

type Rep (WrappedMonoid m) :: Type -> Type #

Generic (Option a)

Since: base-4.9.0.0

Instance details

Defined in Data.Semigroup

Associated Types

type Rep (Option a) :: Type -> Type #

Methods

from :: Option a -> Rep (Option a) x #

to :: Rep (Option a) x -> Option a #

Generic (ZipList a)

Since: base-4.7.0.0

Instance details

Defined in Control.Applicative

Associated Types

type Rep (ZipList a) :: Type -> Type #

Methods

from :: ZipList a -> Rep (ZipList a) x #

to :: Rep (ZipList a) x -> ZipList a #

Generic (Identity a)

Since: base-4.8.0.0

Instance details

Defined in Data.Functor.Identity

Associated Types

type Rep (Identity a) :: Type -> Type #

Methods

from :: Identity a -> Rep (Identity a) x #

to :: Rep (Identity a) x -> Identity a #

Generic (First a)

Since: base-4.7.0.0

Instance details

Defined in Data.Monoid

Associated Types

type Rep (First a) :: Type -> Type #

Methods

from :: First a -> Rep (First a) x #

to :: Rep (First a) x -> First a #

Generic (Last a)

Since: base-4.7.0.0

Instance details

Defined in Data.Monoid

Associated Types

type Rep (Last a) :: Type -> Type #

Methods

from :: Last a -> Rep (Last a) x #

to :: Rep (Last a) x -> Last a #

Generic (Dual a)

Since: base-4.7.0.0

Instance details

Defined in Data.Semigroup.Internal

Associated Types

type Rep (Dual a) :: Type -> Type #

Methods

from :: Dual a -> Rep (Dual a) x #

to :: Rep (Dual a) x -> Dual a #

Generic (Endo a)

Since: base-4.7.0.0

Instance details

Defined in Data.Semigroup.Internal

Associated Types

type Rep (Endo a) :: Type -> Type #

Methods

from :: Endo a -> Rep (Endo a) x #

to :: Rep (Endo a) x -> Endo a #

Generic (Sum a)

Since: base-4.7.0.0

Instance details

Defined in Data.Semigroup.Internal

Associated Types

type Rep (Sum a) :: Type -> Type #

Methods

from :: Sum a -> Rep (Sum a) x #

to :: Rep (Sum a) x -> Sum a #

Generic (Product a)

Since: base-4.7.0.0

Instance details

Defined in Data.Semigroup.Internal

Associated Types

type Rep (Product a) :: Type -> Type #

Methods

from :: Product a -> Rep (Product a) x #

to :: Rep (Product a) x -> Product a #

Generic (Down a)

Since: base-4.12.0.0

Instance details

Defined in GHC.Generics

Associated Types

type Rep (Down a) :: Type -> Type #

Methods

from :: Down a -> Rep (Down a) x #

to :: Rep (Down a) x -> Down a #

Generic (NonEmpty a)

Since: base-4.6.0.0

Instance details

Defined in GHC.Generics

Associated Types

type Rep (NonEmpty a) :: Type -> Type #

Methods

from :: NonEmpty a -> Rep (NonEmpty a) x #

to :: Rep (NonEmpty a) x -> NonEmpty a #

Generic (Tree a)

Since: containers-0.5.8

Instance details

Defined in Data.Tree

Associated Types

type Rep (Tree a) :: Type -> Type #

Methods

from :: Tree a -> Rep (Tree a) x #

to :: Rep (Tree a) x -> Tree a #

Generic (FingerTree a)

Since: containers-0.6.1

Instance details

Defined in Data.Sequence.Internal

Associated Types

type Rep (FingerTree a) :: Type -> Type #

Methods

from :: FingerTree a -> Rep (FingerTree a) x #

to :: Rep (FingerTree a) x -> FingerTree a #

Generic (Digit a)

Since: containers-0.6.1

Instance details

Defined in Data.Sequence.Internal

Associated Types

type Rep (Digit a) :: Type -> Type #

Methods

from :: Digit a -> Rep (Digit a) x #

to :: Rep (Digit a) x -> Digit a #

Generic (Node a)

Since: containers-0.6.1

Instance details

Defined in Data.Sequence.Internal

Associated Types

type Rep (Node a) :: Type -> Type #

Methods

from :: Node a -> Rep (Node a) x #

to :: Rep (Node a) x -> Node a #

Generic (Elem a)

Since: containers-0.6.1

Instance details

Defined in Data.Sequence.Internal

Associated Types

type Rep (Elem a) :: Type -> Type #

Methods

from :: Elem a -> Rep (Elem a) x #

to :: Rep (Elem a) x -> Elem a #

Generic (ViewL a)

Since: containers-0.5.8

Instance details

Defined in Data.Sequence.Internal

Associated Types

type Rep (ViewL a) :: Type -> Type #

Methods

from :: ViewL a -> Rep (ViewL a) x #

to :: Rep (ViewL a) x -> ViewL a #

Generic (ViewR a)

Since: containers-0.5.8

Instance details

Defined in Data.Sequence.Internal

Associated Types

type Rep (ViewR a) :: Type -> Type #

Methods

from :: ViewR a -> Rep (ViewR a) x #

to :: Rep (ViewR a) x -> ViewR a #

Generic (Doc a) 
Instance details

Defined in Text.PrettyPrint.Annotated.HughesPJ

Associated Types

type Rep (Doc a) :: Type -> Type #

Methods

from :: Doc a -> Rep (Doc a) x #

to :: Rep (Doc a) x -> Doc a #

Generic (Only a) 
Instance details

Defined in Data.Tuple.Only

Associated Types

type Rep (Only a) :: Type -> Type #

Methods

from :: Only a -> Rep (Only a) x #

to :: Rep (Only a) x -> Only a #

Generic (Finite n) 
Instance details

Defined in Data.Finite.Internal

Associated Types

type Rep (Finite n) :: Type -> Type #

Methods

from :: Finite n -> Rep (Finite n) x #

to :: Rep (Finite n) x -> Finite n #

Generic (Root a) 
Instance details

Defined in Numeric.RootFinding

Associated Types

type Rep (Root a) :: Type -> Type #

Methods

from :: Root a -> Rep (Root a) x #

to :: Rep (Root a) x -> Root a #

Generic (Either a b)

Since: base-4.6.0.0

Instance details

Defined in GHC.Generics

Associated Types

type Rep (Either a b) :: Type -> Type #

Methods

from :: Either a b -> Rep (Either a b) x #

to :: Rep (Either a b) x -> Either a b #

Generic (V1 p)

Since: base-4.9.0.0

Instance details

Defined in GHC.Generics

Associated Types

type Rep (V1 p) :: Type -> Type #

Methods

from :: V1 p -> Rep (V1 p) x #

to :: Rep (V1 p) x -> V1 p #

Generic (U1 p)

Since: base-4.7.0.0

Instance details

Defined in GHC.Generics

Associated Types

type Rep (U1 p) :: Type -> Type #

Methods

from :: U1 p -> Rep (U1 p) x #

to :: Rep (U1 p) x -> U1 p #

Generic (a, b)

Since: base-4.6.0.0

Instance details

Defined in GHC.Generics

Associated Types

type Rep (a, b) :: Type -> Type #

Methods

from :: (a, b) -> Rep (a, b) x #

to :: Rep (a, b) x -> (a, b) #

Generic (Arg a b)

Since: base-4.9.0.0

Instance details

Defined in Data.Semigroup

Associated Types

type Rep (Arg a b) :: Type -> Type #

Methods

from :: Arg a b -> Rep (Arg a b) x #

to :: Rep (Arg a b) x -> Arg a b #

Generic (WrappedMonad m a)

Since: base-4.7.0.0

Instance details

Defined in Control.Applicative

Associated Types

type Rep (WrappedMonad m a) :: Type -> Type #

Methods

from :: WrappedMonad m a -> Rep (WrappedMonad m a) x #

to :: Rep (WrappedMonad m a) x -> WrappedMonad m a #

Generic (Proxy t)

Since: base-4.6.0.0

Instance details

Defined in GHC.Generics

Associated Types

type Rep (Proxy t) :: Type -> Type #

Methods

from :: Proxy t -> Rep (Proxy t) x #

to :: Rep (Proxy t) x -> Proxy t #

Generic (Cofree f a) 
Instance details

Defined in Control.Comonad.Cofree

Associated Types

type Rep (Cofree f a) :: Type -> Type #

Methods

from :: Cofree f a -> Rep (Cofree f a) x #

to :: Rep (Cofree f a) x -> Cofree f a #

Generic (Rec1 f p)

Since: base-4.7.0.0

Instance details

Defined in GHC.Generics

Associated Types

type Rep (Rec1 f p) :: Type -> Type #

Methods

from :: Rec1 f p -> Rep (Rec1 f p) x #

to :: Rep (Rec1 f p) x -> Rec1 f p #

Generic (URec (Ptr ()) p)

Since: base-4.9.0.0

Instance details

Defined in GHC.Generics

Associated Types

type Rep (URec (Ptr ()) p) :: Type -> Type #

Methods

from :: URec (Ptr ()) p -> Rep (URec (Ptr ()) p) x #

to :: Rep (URec (Ptr ()) p) x -> URec (Ptr ()) p #

Generic (URec Char p)

Since: base-4.9.0.0

Instance details

Defined in GHC.Generics

Associated Types

type Rep (URec Char p) :: Type -> Type #

Methods

from :: URec Char p -> Rep (URec Char p) x #

to :: Rep (URec Char p) x -> URec Char p #

Generic (URec Double p)

Since: base-4.9.0.0

Instance details

Defined in GHC.Generics

Associated Types

type Rep (URec Double p) :: Type -> Type #

Methods

from :: URec Double p -> Rep (URec Double p) x #

to :: Rep (URec Double p) x -> URec Double p #

Generic (URec Float p) 
Instance details

Defined in GHC.Generics

Associated Types

type Rep (URec Float p) :: Type -> Type #

Methods

from :: URec Float p -> Rep (URec Float p) x #

to :: Rep (URec Float p) x -> URec Float p #

Generic (URec Int p)

Since: base-4.9.0.0

Instance details

Defined in GHC.Generics

Associated Types

type Rep (URec Int p) :: Type -> Type #

Methods

from :: URec Int p -> Rep (URec Int p) x #

to :: Rep (URec Int p) x -> URec Int p #

Generic (URec Word p)

Since: base-4.9.0.0

Instance details

Defined in GHC.Generics

Associated Types

type Rep (URec Word p) :: Type -> Type #

Methods

from :: URec Word p -> Rep (URec Word p) x #

to :: Rep (URec Word p) x -> URec Word p #

Generic (a, b, c)

Since: base-4.6.0.0

Instance details

Defined in GHC.Generics

Associated Types

type Rep (a, b, c) :: Type -> Type #

Methods

from :: (a, b, c) -> Rep (a, b, c) x #

to :: Rep (a, b, c) x -> (a, b, c) #

Generic (WrappedArrow a b c)

Since: base-4.7.0.0

Instance details

Defined in Control.Applicative

Associated Types

type Rep (WrappedArrow a b c) :: Type -> Type #

Methods

from :: WrappedArrow a b c -> Rep (WrappedArrow a b c) x #

to :: Rep (WrappedArrow a b c) x -> WrappedArrow a b c #

Generic (Kleisli m a b)

Since: base-4.14.0.0

Instance details

Defined in Control.Arrow

Associated Types

type Rep (Kleisli m a b) :: Type -> Type #

Methods

from :: Kleisli m a b -> Rep (Kleisli m a b) x #

to :: Rep (Kleisli m a b) x -> Kleisli m a b #

Generic (Const a b)

Since: base-4.9.0.0

Instance details

Defined in Data.Functor.Const

Associated Types

type Rep (Const a b) :: Type -> Type #

Methods

from :: Const a b -> Rep (Const a b) x #

to :: Rep (Const a b) x -> Const a b #

Generic (Ap f a)

Since: base-4.12.0.0

Instance details

Defined in Data.Monoid

Associated Types

type Rep (Ap f a) :: Type -> Type #

Methods

from :: Ap f a -> Rep (Ap f a) x #

to :: Rep (Ap f a) x -> Ap f a #

Generic (Alt f a)

Since: base-4.8.0.0

Instance details

Defined in Data.Semigroup.Internal

Associated Types

type Rep (Alt f a) :: Type -> Type #

Methods

from :: Alt f a -> Rep (Alt f a) x #

to :: Rep (Alt f a) x -> Alt f a #

Generic (Tagged s b) 
Instance details

Defined in Data.Tagged

Associated Types

type Rep (Tagged s b) :: Type -> Type #

Methods

from :: Tagged s b -> Rep (Tagged s b) x #

to :: Rep (Tagged s b) x -> Tagged s b #

Generic (Join p a) 
Instance details

Defined in Data.Bifunctor.Join

Associated Types

type Rep (Join p a) :: Type -> Type #

Methods

from :: Join p a -> Rep (Join p a) x #

to :: Rep (Join p a) x -> Join p a #

Generic (K1 i c p)

Since: base-4.7.0.0

Instance details

Defined in GHC.Generics

Associated Types

type Rep (K1 i c p) :: Type -> Type #

Methods

from :: K1 i c p -> Rep (K1 i c p) x #

to :: Rep (K1 i c p) x -> K1 i c p #

Generic ((f :+: g) p)

Since: base-4.7.0.0

Instance details

Defined in GHC.Generics

Associated Types

type Rep ((f :+: g) p) :: Type -> Type #

Methods

from :: (f :+: g) p -> Rep ((f :+: g) p) x #

to :: Rep ((f :+: g) p) x -> (f :+: g) p #

Generic ((f :*: g) p)

Since: base-4.7.0.0

Instance details

Defined in GHC.Generics

Associated Types

type Rep ((f :*: g) p) :: Type -> Type #

Methods

from :: (f :*: g) p -> Rep ((f :*: g) p) x #

to :: Rep ((f :*: g) p) x -> (f :*: g) p #

Generic (a, b, c, d)

Since: base-4.6.0.0

Instance details

Defined in GHC.Generics

Associated Types

type Rep (a, b, c, d) :: Type -> Type #

Methods

from :: (a, b, c, d) -> Rep (a, b, c, d) x #

to :: Rep (a, b, c, d) x -> (a, b, c, d) #

Generic (Product f g a)

Since: base-4.9.0.0

Instance details

Defined in Data.Functor.Product

Associated Types

type Rep (Product f g a) :: Type -> Type #

Methods

from :: Product f g a -> Rep (Product f g a) x #

to :: Rep (Product f g a) x -> Product f g a #

Generic (Sum f g a)

Since: base-4.9.0.0

Instance details

Defined in Data.Functor.Sum

Associated Types

type Rep (Sum f g a) :: Type -> Type #

Methods

from :: Sum f g a -> Rep (Sum f g a) x #

to :: Rep (Sum f g a) x -> Sum f g a #

Generic (M1 i c f p)

Since: base-4.7.0.0

Instance details

Defined in GHC.Generics

Associated Types

type Rep (M1 i c f p) :: Type -> Type #

Methods

from :: M1 i c f p -> Rep (M1 i c f p) x #

to :: Rep (M1 i c f p) x -> M1 i c f p #

Generic ((f :.: g) p)

Since: base-4.7.0.0

Instance details

Defined in GHC.Generics

Associated Types

type Rep ((f :.: g) p) :: Type -> Type #

Methods

from :: (f :.: g) p -> Rep ((f :.: g) p) x #

to :: Rep ((f :.: g) p) x -> (f :.: g) p #

Generic (a, b, c, d, e)

Since: base-4.6.0.0

Instance details

Defined in GHC.Generics

Associated Types

type Rep (a, b, c, d, e) :: Type -> Type #

Methods

from :: (a, b, c, d, e) -> Rep (a, b, c, d, e) x #

to :: Rep (a, b, c, d, e) x -> (a, b, c, d, e) #

Generic (Compose f g a)

Since: base-4.9.0.0

Instance details

Defined in Data.Functor.Compose

Associated Types

type Rep (Compose f g a) :: Type -> Type #

Methods

from :: Compose f g a -> Rep (Compose f g a) x #

to :: Rep (Compose f g a) x -> Compose f g a #

Generic (Clown f a b) 
Instance details

Defined in Data.Bifunctor.Clown

Associated Types

type Rep (Clown f a b) :: Type -> Type #

Methods

from :: Clown f a b -> Rep (Clown f a b) x #

to :: Rep (Clown f a b) x -> Clown f a b #

Generic (Flip p a b) 
Instance details

Defined in Data.Bifunctor.Flip

Associated Types

type Rep (Flip p a b) :: Type -> Type #

Methods

from :: Flip p a b -> Rep (Flip p a b) x #

to :: Rep (Flip p a b) x -> Flip p a b #

Generic (Joker g a b) 
Instance details

Defined in Data.Bifunctor.Joker

Associated Types

type Rep (Joker g a b) :: Type -> Type #

Methods

from :: Joker g a b -> Rep (Joker g a b) x #

to :: Rep (Joker g a b) x -> Joker g a b #

Generic (WrappedBifunctor p a b) 
Instance details

Defined in Data.Bifunctor.Wrapped

Associated Types

type Rep (WrappedBifunctor p a b) :: Type -> Type #

Methods

from :: WrappedBifunctor p a b -> Rep (WrappedBifunctor p a b) x #

to :: Rep (WrappedBifunctor p a b) x -> WrappedBifunctor p a b #

Generic (a, b, c, d, e, f)

Since: base-4.6.0.0

Instance details

Defined in GHC.Generics

Associated Types

type Rep (a, b, c, d, e, f) :: Type -> Type #

Methods

from :: (a, b, c, d, e, f) -> Rep (a, b, c, d, e, f) x #

to :: Rep (a, b, c, d, e, f) x -> (a, b, c, d, e, f) #

Generic (Product f g a b) 
Instance details

Defined in Data.Bifunctor.Product

Associated Types

type Rep (Product f g a b) :: Type -> Type #

Methods

from :: Product f g a b -> Rep (Product f g a b) x #

to :: Rep (Product f g a b) x -> Product f g a b #

Generic (Sum p q a b) 
Instance details

Defined in Data.Bifunctor.Sum

Associated Types

type Rep (Sum p q a b) :: Type -> Type #

Methods

from :: Sum p q a b -> Rep (Sum p q a b) x #

to :: Rep (Sum p q a b) x -> Sum p q a b #

Generic (a, b, c, d, e, f, g)

Since: base-4.6.0.0

Instance details

Defined in GHC.Generics

Associated Types

type Rep (a, b, c, d, e, f, g) :: Type -> Type #

Methods

from :: (a, b, c, d, e, f, g) -> Rep (a, b, c, d, e, f, g) x #

to :: Rep (a, b, c, d, e, f, g) x -> (a, b, c, d, e, f, g) #

Generic (Tannen f p a b) 
Instance details

Defined in Data.Bifunctor.Tannen

Associated Types

type Rep (Tannen f p a b) :: Type -> Type #

Methods

from :: Tannen f p a b -> Rep (Tannen f p a b) x #

to :: Rep (Tannen f p a b) x -> Tannen f p a b #

Generic (Biff p f g a b) 
Instance details

Defined in Data.Bifunctor.Biff

Associated Types

type Rep (Biff p f g a b) :: Type -> Type #

Methods

from :: Biff p f g a b -> Rep (Biff p f g a b) x #

to :: Rep (Biff p f g a b) x -> Biff p f g a b #

(Re)names

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

Instances details
IsList ByteString

Since: bytestring-0.10.12.0

Instance details

Defined in Data.ByteString.Internal

Associated Types

type Item ByteString #

Eq ByteString 
Instance details

Defined in Data.ByteString.Internal

Data ByteString 
Instance details

Defined in Data.ByteString.Internal

Methods

gfoldl :: (forall d b. Data d => c (d -> b) -> d -> c b) -> (forall g. g -> c g) -> ByteString -> c ByteString #

gunfold :: (forall b r. Data b => c (b -> r) -> c r) -> (forall r. r -> c r) -> Constr -> c ByteString #

toConstr :: ByteString -> Constr #

dataTypeOf :: ByteString -> DataType #

dataCast1 :: Typeable t => (forall d. Data d => c (t d)) -> Maybe (c ByteString) #

dataCast2 :: Typeable t => (forall d e. (Data d, Data e) => c (t d e)) -> Maybe (c ByteString) #

gmapT :: (forall b. Data b => b -> b) -> ByteString -> ByteString #

gmapQl :: (r -> r' -> r) -> r -> (forall d. Data d => d -> r') -> ByteString -> r #

gmapQr :: forall r r'. (r' -> r -> r) -> r -> (forall d. Data d => d -> r') -> ByteString -> r #

gmapQ :: (forall d. Data d => d -> u) -> ByteString -> [u] #

gmapQi :: Int -> (forall d. Data d => d -> u) -> ByteString -> u #

gmapM :: Monad m => (forall d. Data d => d -> m d) -> ByteString -> m ByteString #

gmapMp :: MonadPlus m => (forall d. Data d => d -> m d) -> ByteString -> m ByteString #

gmapMo :: MonadPlus m => (forall d. Data d => d -> m d) -> ByteString -> m ByteString #

Ord ByteString 
Instance details

Defined in Data.ByteString.Internal

Read ByteString 
Instance details

Defined in Data.ByteString.Internal

Show ByteString 
Instance details

Defined in Data.ByteString.Internal

IsString ByteString

Beware: fromString truncates multi-byte characters to octets. e.g. "枯朶に烏のとまりけり秋の暮" becomes �6k�nh~�Q��n�

Instance details

Defined in Data.ByteString.Internal

Semigroup ByteString 
Instance details

Defined in Data.ByteString.Internal

Monoid ByteString 
Instance details

Defined in Data.ByteString.Internal

NFData ByteString 
Instance details

Defined in Data.ByteString.Internal

Methods

rnf :: ByteString -> () #

FromField ByteString 
Instance details

Defined in Data.Csv.Conversion

Methods

parseField :: Field -> Parser ByteString #

ToField ByteString 
Instance details

Defined in Data.Csv.Conversion

Methods

toField :: ByteString -> Field #

Hashable ByteString 
Instance details

Defined in Data.Hashable.Class

Chunk ByteString 
Instance details

Defined in Data.Attoparsec.Internal.Types

Associated Types

type ChunkElem ByteString

ToField a => GToRecord (K1 i a :: k -> Type) Field 
Instance details

Defined in Data.Csv.Conversion

Methods

gtoRecord :: forall (p :: k0). Options -> K1 i a p -> [Field]

FromField a => GFromRecordProd (K1 i a :: k -> Type) Record 
Instance details

Defined in Data.Csv.Conversion

Methods

gparseRecordProd :: forall (p :: k0). Options -> Int -> (Int, Record -> Parser (K1 i a p))

GToRecord a Field => GToRecord (M1 S c a :: k -> Type) Field 
Instance details

Defined in Data.Csv.Conversion

Methods

gtoRecord :: forall (p :: k0). Options -> M1 S c a p -> [Field]

GFromRecordProd f Record => GFromRecordProd (M1 i n f :: k -> Type) Record 
Instance details

Defined in Data.Csv.Conversion

Methods

gparseRecordProd :: forall (p :: k0). Options -> Int -> (Int, Record -> Parser (M1 i n f p))

(FromField a, Selector s) => GFromRecordProd (M1 S s (K1 i a :: k -> Type) :: k -> Type) NamedRecord 
Instance details

Defined in Data.Csv.Conversion

Methods

gparseRecordProd :: forall (p :: k0). Options -> Int -> (Int, NamedRecord -> Parser (M1 S s (K1 i a) p))

(ToField a, Selector s) => GToRecord (M1 S s (K1 i a :: k -> Type) :: k -> Type) (ByteString, ByteString) 
Instance details

Defined in Data.Csv.Conversion

Methods

gtoRecord :: forall (p :: k0). Options -> M1 S s (K1 i a) p -> [(ByteString, ByteString)]

FromField a => FromField (Either Field a) 
Instance details

Defined in Data.Csv.Conversion

Methods

parseField :: Field -> Parser (Either Field a) #

type Item ByteString 
Instance details

Defined in Data.ByteString.Internal

type State ByteString 
Instance details

Defined in Data.Attoparsec.Internal.Types

type State ByteString = Buffer
type ChunkElem ByteString 
Instance details

Defined in Data.Attoparsec.Internal.Types

type ChunkElem ByteString = Word8