base-4.19.0.0: Basic libraries
Copyright(c) The University of Glasgow 1992-2002
Licensesee libraries/base/LICENSE
Maintainercvs-ghc@haskell.org
Stabilityinternal
Portabilitynon-portable (GHC extensions)
Safe HaskellUnsafe
LanguageHaskell2010

GHC.Base

Description

Basic data types and classes.

Synopsis

Documentation

class Applicative m => Monad (m :: Type -> Type) where Source #

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 Source #

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 Source #

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 Source #

Inject a value into the monadic type.

Instances

Instances details
Monad Complex Source #

Since: base-4.9.0.0

Instance details

Defined in Data.Complex

Methods

(>>=) :: Complex a -> (a -> Complex b) -> Complex b Source #

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

return :: a -> Complex a Source #

Monad Identity Source #

Since: base-4.8.0.0

Instance details

Defined in Data.Functor.Identity

Methods

(>>=) :: Identity a -> (a -> Identity b) -> Identity b Source #

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

return :: a -> Identity a Source #

Monad First Source #

Since: base-4.8.0.0

Instance details

Defined in Data.Monoid

Methods

(>>=) :: First a -> (a -> First b) -> First b Source #

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

return :: a -> First a Source #

Monad Last Source #

Since: base-4.8.0.0

Instance details

Defined in Data.Monoid

Methods

(>>=) :: Last a -> (a -> Last b) -> Last b Source #

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

return :: a -> Last a Source #

Monad Down Source #

Since: base-4.11.0.0

Instance details

Defined in Data.Ord

Methods

(>>=) :: Down a -> (a -> Down b) -> Down b Source #

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

return :: a -> Down a Source #

Monad First Source #

Since: base-4.9.0.0

Instance details

Defined in Data.Semigroup

Methods

(>>=) :: First a -> (a -> First b) -> First b Source #

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

return :: a -> First a Source #

Monad Last Source #

Since: base-4.9.0.0

Instance details

Defined in Data.Semigroup

Methods

(>>=) :: Last a -> (a -> Last b) -> Last b Source #

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

return :: a -> Last a Source #

Monad Max Source #

Since: base-4.9.0.0

Instance details

Defined in Data.Semigroup

Methods

(>>=) :: Max a -> (a -> Max b) -> Max b Source #

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

return :: a -> Max a Source #

Monad Min Source #

Since: base-4.9.0.0

Instance details

Defined in Data.Semigroup

Methods

(>>=) :: Min a -> (a -> Min b) -> Min b Source #

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

return :: a -> Min a Source #

Monad Dual Source #

Since: base-4.8.0.0

Instance details

Defined in Data.Semigroup.Internal

Methods

(>>=) :: Dual a -> (a -> Dual b) -> Dual b Source #

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

return :: a -> Dual a Source #

Monad Product Source #

Since: base-4.8.0.0

Instance details

Defined in Data.Semigroup.Internal

Methods

(>>=) :: Product a -> (a -> Product b) -> Product b Source #

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

return :: a -> Product a Source #

Monad Sum Source #

Since: base-4.8.0.0

Instance details

Defined in Data.Semigroup.Internal

Methods

(>>=) :: Sum a -> (a -> Sum b) -> Sum b Source #

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

return :: a -> Sum a Source #

Monad NonEmpty Source #

Since: base-4.9.0.0

Instance details

Defined in GHC.Base

Methods

(>>=) :: NonEmpty a -> (a -> NonEmpty b) -> NonEmpty b Source #

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

return :: a -> NonEmpty a Source #

Monad STM Source #

Since: base-4.3.0.0

Instance details

Defined in GHC.Conc.Sync

Methods

(>>=) :: STM a -> (a -> STM b) -> STM b Source #

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

return :: a -> STM a Source #

Monad NoIO Source #

Since: base-4.4.0.0

Instance details

Defined in GHC.GHCi

Methods

(>>=) :: NoIO a -> (a -> NoIO b) -> NoIO b Source #

(>>) :: NoIO a -> NoIO b -> NoIO b Source #

return :: a -> NoIO a Source #

Monad Par1 Source #

Since: base-4.9.0.0

Instance details

Defined in GHC.Generics

Methods

(>>=) :: Par1 a -> (a -> Par1 b) -> Par1 b Source #

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

return :: a -> Par1 a Source #

Monad ReadP Source #

Since: base-2.1

Instance details

Defined in Text.ParserCombinators.ReadP

Methods

(>>=) :: ReadP a -> (a -> ReadP b) -> ReadP b Source #

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

return :: a -> ReadP a Source #

Monad ReadPrec Source #

Since: base-2.1

Instance details

Defined in Text.ParserCombinators.ReadPrec

Methods

(>>=) :: ReadPrec a -> (a -> ReadPrec b) -> ReadPrec b Source #

(>>) :: ReadPrec a -> ReadPrec b -> ReadPrec b Source #

return :: a -> ReadPrec a Source #

Monad IO Source #

Since: base-2.1

Instance details

Defined in GHC.Base

Methods

(>>=) :: IO a -> (a -> IO b) -> IO b Source #

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

return :: a -> IO a Source #

Monad Maybe Source #

Since: base-2.1

Instance details

Defined in GHC.Base

Methods

(>>=) :: Maybe a -> (a -> Maybe b) -> Maybe b Source #

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

return :: a -> Maybe a Source #

Monad Solo Source #

Since: base-4.15

Instance details

Defined in GHC.Base

Methods

(>>=) :: (a) -> (a -> (b)) -> (b) Source #

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

return :: a -> (a) Source #

Monad List Source #

Since: base-2.1

Instance details

Defined in GHC.Base

Methods

(>>=) :: [a] -> (a -> [b]) -> [b] Source #

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

return :: a -> [a] Source #

Monad m => Monad (WrappedMonad m) Source #

Since: base-4.7.0.0

Instance details

Defined in Control.Applicative

Methods

(>>=) :: WrappedMonad m a -> (a -> WrappedMonad m b) -> WrappedMonad m b Source #

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

return :: a -> WrappedMonad m a Source #

ArrowApply a => Monad (ArrowMonad a) Source #

Since: base-2.1

Instance details

Defined in Control.Arrow

Methods

(>>=) :: ArrowMonad a a0 -> (a0 -> ArrowMonad a b) -> ArrowMonad a b Source #

(>>) :: ArrowMonad a a0 -> ArrowMonad a b -> ArrowMonad a b Source #

return :: a0 -> ArrowMonad a a0 Source #

Monad (ST s) Source #

Since: base-2.1

Instance details

Defined in Control.Monad.ST.Lazy.Imp

Methods

(>>=) :: ST s a -> (a -> ST s b) -> ST s b Source #

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

return :: a -> ST s a Source #

Monad (Either e) Source #

Since: base-4.4.0.0

Instance details

Defined in Data.Either

Methods

(>>=) :: Either e a -> (a -> Either e b) -> Either e b Source #

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

return :: a -> Either e a Source #

Monad (Proxy :: Type -> Type) Source #

Since: base-4.7.0.0

Instance details

Defined in Data.Proxy

Methods

(>>=) :: Proxy a -> (a -> Proxy b) -> Proxy b Source #

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

return :: a -> Proxy a Source #

Monad (U1 :: Type -> Type) Source #

Since: base-4.9.0.0

Instance details

Defined in GHC.Generics

Methods

(>>=) :: U1 a -> (a -> U1 b) -> U1 b Source #

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

return :: a -> U1 a Source #

Monad (ST s) Source #

Since: base-2.1

Instance details

Defined in GHC.ST

Methods

(>>=) :: ST s a -> (a -> ST s b) -> ST s b Source #

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

return :: a -> ST s a Source #

Monoid a => Monad (Tuple2 a) Source #

Since: base-4.9.0.0

Instance details

Defined in GHC.Base

Methods

(>>=) :: (a, a0) -> (a0 -> (a, b)) -> (a, b) Source #

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

return :: a0 -> (a, a0) Source #

Monad m => Monad (Kleisli m a) Source #

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 Source #

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

return :: a0 -> Kleisli m a a0 Source #

Monad f => Monad (Ap f) Source #

Since: base-4.12.0.0

Instance details

Defined in Data.Monoid

Methods

(>>=) :: Ap f a -> (a -> Ap f b) -> Ap f b Source #

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

return :: a -> Ap f a Source #

Monad f => Monad (Alt f) Source #

Since: base-4.8.0.0

Instance details

Defined in Data.Semigroup.Internal

Methods

(>>=) :: Alt f a -> (a -> Alt f b) -> Alt f b Source #

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

return :: a -> Alt f a Source #

Monad f => Monad (Rec1 f) Source #

Since: base-4.9.0.0

Instance details

Defined in GHC.Generics

Methods

(>>=) :: Rec1 f a -> (a -> Rec1 f b) -> Rec1 f b Source #

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

return :: a -> Rec1 f a Source #

(Monoid a, Monoid b) => Monad (Tuple3 a b) Source #

Since: base-4.14.0.0

Instance details

Defined in GHC.Base

Methods

(>>=) :: (a, b, a0) -> (a0 -> (a, b, b0)) -> (a, b, b0) Source #

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

return :: a0 -> (a, b, a0) Source #

(Monad f, Monad g) => Monad (Product f g) Source #

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 Source #

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

return :: a -> Product f g a Source #

(Monad f, Monad g) => Monad (f :*: g) Source #

Since: base-4.9.0.0

Instance details

Defined in GHC.Generics

Methods

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

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

return :: a -> (f :*: g) a Source #

(Monoid a, Monoid b, Monoid c) => Monad (Tuple4 a b c) Source #

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) Source #

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

return :: a0 -> (a, b, c, a0) Source #

Monad ((->) r) Source #

Since: base-2.1

Instance details

Defined in GHC.Base

Methods

(>>=) :: (r -> a) -> (a -> r -> b) -> r -> b Source #

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

return :: a -> r -> a Source #

Monad f => Monad (M1 i c f) Source #

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 Source #

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

return :: a -> M1 i c f a Source #

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

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 Source #

Lift a value.

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

Sequential application.

A few functors support an implementation of <*> that is more efficient than the default one.

Example

Expand

Used in combination with (<$>), (<*>) can be used to build a record.

>>> data MyState = MyState {arg1 :: Foo, arg2 :: Bar, arg3 :: Baz}
>>> produceFoo :: Applicative f => f Foo
>>> produceBar :: Applicative f => f Bar
>>> produceBaz :: Applicative f => f Baz
>>> mkState :: Applicative f => f MyState
>>> mkState = MyState <$> produceFoo <*> produceBar <*> produceBaz

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

Lift a binary function to actions.

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

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

Example

Expand
>>> liftA2 (,) (Just 3) (Just 5)
Just (3,5)

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

Sequence actions, discarding the value of the first argument.

Examples

Expand

If used in conjunction with the Applicative instance for Maybe, you can chain Maybe computations, with a possible "early return" in case of Nothing.

>>> Just 2 *> Just 3
Just 3
>>> Nothing *> Just 3
Nothing

Of course a more interesting use case would be to have effectful computations instead of just returning pure values.

>>> import Data.Char
>>> import Text.ParserCombinators.ReadP
>>> let p = string "my name is " *> munch1 isAlpha <* eof
>>> readP_to_S p "my name is Simon"
[("Simon","")]

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

Sequence actions, discarding the value of the second argument.

Instances

Instances details
Applicative ZipList Source #
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 Source #

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

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

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

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

Applicative Complex Source #

Since: base-4.9.0.0

Instance details

Defined in Data.Complex

Methods

pure :: a -> Complex a Source #

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

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

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

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

Applicative Identity Source #

Since: base-4.8.0.0

Instance details

Defined in Data.Functor.Identity

Methods

pure :: a -> Identity a Source #

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

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

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

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

Applicative First Source #

Since: base-4.8.0.0

Instance details

Defined in Data.Monoid

Methods

pure :: a -> First a Source #

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

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

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

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

Applicative Last Source #

Since: base-4.8.0.0

Instance details

Defined in Data.Monoid

Methods

pure :: a -> Last a Source #

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

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

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

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

Applicative Down Source #

Since: base-4.11.0.0

Instance details

Defined in Data.Ord

Methods

pure :: a -> Down a Source #

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

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

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

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

Applicative First Source #

Since: base-4.9.0.0

Instance details

Defined in Data.Semigroup

Methods

pure :: a -> First a Source #

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

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

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

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

Applicative Last Source #

Since: base-4.9.0.0

Instance details

Defined in Data.Semigroup

Methods

pure :: a -> Last a Source #

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

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

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

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

Applicative Max Source #

Since: base-4.9.0.0

Instance details

Defined in Data.Semigroup

Methods

pure :: a -> Max a Source #

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

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

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

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

Applicative Min Source #

Since: base-4.9.0.0

Instance details

Defined in Data.Semigroup

Methods

pure :: a -> Min a Source #

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

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

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

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

Applicative Dual Source #

Since: base-4.8.0.0

Instance details

Defined in Data.Semigroup.Internal

Methods

pure :: a -> Dual a Source #

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

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

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

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

Applicative Product Source #

Since: base-4.8.0.0

Instance details

Defined in Data.Semigroup.Internal

Methods

pure :: a -> Product a Source #

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

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

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

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

Applicative Sum Source #

Since: base-4.8.0.0

Instance details

Defined in Data.Semigroup.Internal

Methods

pure :: a -> Sum a Source #

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

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

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

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

Applicative NonEmpty Source #

Since: base-4.9.0.0

Instance details

Defined in GHC.Base

Methods

pure :: a -> NonEmpty a Source #

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

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

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

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

Applicative STM Source #

Since: base-4.8.0.0

Instance details

Defined in GHC.Conc.Sync

Methods

pure :: a -> STM a Source #

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

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

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

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

Applicative NoIO Source #

Since: base-4.8.0.0

Instance details

Defined in GHC.GHCi

Methods

pure :: a -> NoIO a Source #

(<*>) :: NoIO (a -> b) -> NoIO a -> NoIO b Source #

liftA2 :: (a -> b -> c) -> NoIO a -> NoIO b -> NoIO c Source #

(*>) :: NoIO a -> NoIO b -> NoIO b Source #

(<*) :: NoIO a -> NoIO b -> NoIO a Source #

Applicative Par1 Source #

Since: base-4.9.0.0

Instance details

Defined in GHC.Generics

Methods

pure :: a -> Par1 a Source #

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

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

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

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

Applicative ReadP Source #

Since: base-4.6.0.0

Instance details

Defined in Text.ParserCombinators.ReadP

Methods

pure :: a -> ReadP a Source #

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

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

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

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

Applicative ReadPrec Source #

Since: base-4.6.0.0

Instance details

Defined in Text.ParserCombinators.ReadPrec

Methods

pure :: a -> ReadPrec a Source #

(<*>) :: ReadPrec (a -> b) -> ReadPrec a -> ReadPrec b Source #

liftA2 :: (a -> b -> c) -> ReadPrec a -> ReadPrec b -> ReadPrec c Source #

(*>) :: ReadPrec a -> ReadPrec b -> ReadPrec b Source #

(<*) :: ReadPrec a -> ReadPrec b -> ReadPrec a Source #

Applicative IO Source #

Since: base-2.1

Instance details

Defined in GHC.Base

Methods

pure :: a -> IO a Source #

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

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

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

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

Applicative Maybe Source #

Since: base-2.1

Instance details

Defined in GHC.Base

Methods

pure :: a -> Maybe a Source #

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

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

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

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

Applicative Solo Source #

Since: base-4.15

Instance details

Defined in GHC.Base

Methods

pure :: a -> (a) Source #

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

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

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

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

Applicative List Source #

Since: base-2.1

Instance details

Defined in GHC.Base

Methods

pure :: a -> [a] Source #

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

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

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

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

Monad m => Applicative (WrappedMonad m) Source #

Since: base-2.1

Instance details

Defined in Control.Applicative

Methods

pure :: a -> WrappedMonad m a Source #

(<*>) :: WrappedMonad m (a -> b) -> WrappedMonad m a -> WrappedMonad m b Source #

liftA2 :: (a -> b -> c) -> WrappedMonad m a -> WrappedMonad m b -> WrappedMonad m c Source #

(*>) :: WrappedMonad m a -> WrappedMonad m b -> WrappedMonad m b Source #

(<*) :: WrappedMonad m a -> WrappedMonad m b -> WrappedMonad m a Source #

Arrow a => Applicative (ArrowMonad a) Source #

Since: base-4.6.0.0

Instance details

Defined in Control.Arrow

Methods

pure :: a0 -> ArrowMonad a a0 Source #

(<*>) :: ArrowMonad a (a0 -> b) -> ArrowMonad a a0 -> ArrowMonad a b Source #

liftA2 :: (a0 -> b -> c) -> ArrowMonad a a0 -> ArrowMonad a b -> ArrowMonad a c Source #

(*>) :: ArrowMonad a a0 -> ArrowMonad a b -> ArrowMonad a b Source #

(<*) :: ArrowMonad a a0 -> ArrowMonad a b -> ArrowMonad a a0 Source #

Applicative (ST s) Source #

Since: base-2.1

Instance details

Defined in Control.Monad.ST.Lazy.Imp

Methods

pure :: a -> ST s a Source #

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

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

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

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

Applicative (Either e) Source #

Since: base-3.0

Instance details

Defined in Data.Either

Methods

pure :: a -> Either e a Source #

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

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

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

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

Applicative (Proxy :: Type -> Type) Source #

Since: base-4.7.0.0

Instance details

Defined in Data.Proxy

Methods

pure :: a -> Proxy a Source #

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

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

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

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

Applicative (U1 :: Type -> Type) Source #

Since: base-4.9.0.0

Instance details

Defined in GHC.Generics

Methods

pure :: a -> U1 a Source #

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

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

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

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

Applicative (ST s) Source #

Since: base-4.4.0.0

Instance details

Defined in GHC.ST

Methods

pure :: a -> ST s a Source #

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

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

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

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

Monoid a => Applicative (Tuple2 a) Source #

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) Source #

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

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

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

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

Arrow a => Applicative (WrappedArrow a b) Source #

Since: base-2.1

Instance details

Defined in Control.Applicative

Methods

pure :: a0 -> WrappedArrow a b a0 Source #

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

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

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

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

Applicative m => Applicative (Kleisli m a) Source #

Since: base-4.14.0.0

Instance details

Defined in Control.Arrow

Methods

pure :: a0 -> Kleisli m a a0 Source #

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

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

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

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

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

Since: base-2.0.1

Instance details

Defined in Data.Functor.Const

Methods

pure :: a -> Const m a Source #

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

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

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

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

Applicative f => Applicative (Ap f) Source #

Since: base-4.12.0.0

Instance details

Defined in Data.Monoid

Methods

pure :: a -> Ap f a Source #

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

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

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

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

Applicative f => Applicative (Alt f) Source #

Since: base-4.8.0.0

Instance details

Defined in Data.Semigroup.Internal

Methods

pure :: a -> Alt f a Source #

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

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

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

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

(Generic1 f, Applicative (Rep1 f)) => Applicative (Generically1 f) Source #

Since: base-4.17.0.0

Instance details

Defined in GHC.Generics

Methods

pure :: a -> Generically1 f a Source #

(<*>) :: Generically1 f (a -> b) -> Generically1 f a -> Generically1 f b Source #

liftA2 :: (a -> b -> c) -> Generically1 f a -> Generically1 f b -> Generically1 f c Source #

(*>) :: Generically1 f a -> Generically1 f b -> Generically1 f b Source #

(<*) :: Generically1 f a -> Generically1 f b -> Generically1 f a Source #

Applicative f => Applicative (Rec1 f) Source #

Since: base-4.9.0.0

Instance details

Defined in GHC.Generics

Methods

pure :: a -> Rec1 f a Source #

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

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

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

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

(Monoid a, Monoid b) => Applicative (Tuple3 a b) Source #

Since: base-4.14.0.0

Instance details

Defined in GHC.Base

Methods

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

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

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

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

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

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

Since: base-4.9.0.0

Instance details

Defined in Data.Functor.Product

Methods

pure :: a -> Product f g a Source #

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

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

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

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

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

Since: base-4.9.0.0

Instance details

Defined in GHC.Generics

Methods

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

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

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

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

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

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

Since: base-4.12.0.0

Instance details

Defined in GHC.Generics

Methods

pure :: a -> K1 i c a Source #

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

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

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

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

(Monoid a, Monoid b, Monoid c) => Applicative (Tuple4 a b c) Source #

Since: base-4.14.0.0

Instance details

Defined in GHC.Base

Methods

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

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

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

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

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

Applicative ((->) r) Source #

Since: base-2.1

Instance details

Defined in GHC.Base

Methods

pure :: a -> r -> a Source #

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

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

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

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

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

Since: base-4.9.0.0

Instance details

Defined in Data.Functor.Compose

Methods

pure :: a -> Compose f g a Source #

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

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

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

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

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

Since: base-4.9.0.0

Instance details

Defined in GHC.Generics

Methods

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

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

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

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

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

Applicative f => Applicative (M1 i c f) Source #

Since: base-4.9.0.0

Instance details

Defined in GHC.Generics

Methods

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

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

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

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

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

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

Function composition.

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

A monoid on applicative functors.

If defined, some and many should be the least solutions of the equations:

Minimal complete definition

empty, (<|>)

Methods

empty :: f a Source #

The identity of <|>

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

An associative binary operation

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

One or more.

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

Zero or more.

Instances

Instances details
Alternative ZipList Source #

Since: base-4.11.0.0

Instance details

Defined in Control.Applicative

Alternative STM Source #

Takes the first non-retrying STM action.

Since: base-4.8.0.0

Instance details

Defined in GHC.Conc.Sync

Methods

empty :: STM a Source #

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

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

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

Alternative ReadP Source #

Since: base-4.6.0.0

Instance details

Defined in Text.ParserCombinators.ReadP

Methods

empty :: ReadP a Source #

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

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

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

Alternative ReadPrec Source #

Since: base-4.6.0.0

Instance details

Defined in Text.ParserCombinators.ReadPrec

Alternative IO Source #

Takes the first non-throwing IO action's result. empty throws an exception.

Since: base-4.9.0.0

Instance details

Defined in GHC.Base

Methods

empty :: IO a Source #

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

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

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

Alternative Maybe Source #

Picks the leftmost Just value, or, alternatively, Nothing.

Since: base-2.1

Instance details

Defined in GHC.Base

Methods

empty :: Maybe a Source #

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

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

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

Alternative List Source #

Combines lists by concatenation, starting from the empty list.

Since: base-2.1

Instance details

Defined in GHC.Base

Methods

empty :: [a] Source #

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

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

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

MonadPlus m => Alternative (WrappedMonad m) Source #

Since: base-2.1

Instance details

Defined in Control.Applicative

ArrowPlus a => Alternative (ArrowMonad a) Source #

Since: base-4.6.0.0

Instance details

Defined in Control.Arrow

Methods

empty :: ArrowMonad a a0 Source #

(<|>) :: ArrowMonad a a0 -> ArrowMonad a a0 -> ArrowMonad a a0 Source #

some :: ArrowMonad a a0 -> ArrowMonad a [a0] Source #

many :: ArrowMonad a a0 -> ArrowMonad a [a0] Source #

Alternative (Proxy :: Type -> Type) Source #

Since: base-4.9.0.0

Instance details

Defined in Data.Proxy

Methods

empty :: Proxy a Source #

(<|>) :: Proxy a -> Proxy a -> Proxy a Source #

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

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

Alternative (U1 :: Type -> Type) Source #

Since: base-4.9.0.0

Instance details

Defined in GHC.Generics

Methods

empty :: U1 a Source #

(<|>) :: U1 a -> U1 a -> U1 a Source #

some :: U1 a -> U1 [a] Source #

many :: U1 a -> U1 [a] Source #

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

Since: base-2.1

Instance details

Defined in Control.Applicative

Methods

empty :: WrappedArrow a b a0 Source #

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

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

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

Alternative m => Alternative (Kleisli m a) Source #

Since: base-4.14.0.0

Instance details

Defined in Control.Arrow

Methods

empty :: Kleisli m a a0 Source #

(<|>) :: Kleisli m a a0 -> Kleisli m a a0 -> Kleisli m a a0 Source #

some :: Kleisli m a a0 -> Kleisli m a [a0] Source #

many :: Kleisli m a a0 -> Kleisli m a [a0] Source #

Alternative f => Alternative (Ap f) Source #

Since: base-4.12.0.0

Instance details

Defined in Data.Monoid

Methods

empty :: Ap f a Source #

(<|>) :: Ap f a -> Ap f a -> Ap f a Source #

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

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

Alternative f => Alternative (Alt f) Source #

Since: base-4.8.0.0

Instance details

Defined in Data.Semigroup.Internal

Methods

empty :: Alt f a Source #

(<|>) :: Alt f a -> Alt f a -> Alt f a Source #

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

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

(Generic1 f, Alternative (Rep1 f)) => Alternative (Generically1 f) Source #

Since: base-4.17.0.0

Instance details

Defined in GHC.Generics

Alternative f => Alternative (Rec1 f) Source #

Since: base-4.9.0.0

Instance details

Defined in GHC.Generics

Methods

empty :: Rec1 f a Source #

(<|>) :: Rec1 f a -> Rec1 f a -> Rec1 f a Source #

some :: Rec1 f a -> Rec1 f [a] Source #

many :: Rec1 f a -> Rec1 f [a] Source #

(Alternative f, Alternative g) => Alternative (Product f g) Source #

Since: base-4.9.0.0

Instance details

Defined in Data.Functor.Product

Methods

empty :: Product f g a Source #

(<|>) :: Product f g a -> Product f g a -> Product f g a Source #

some :: Product f g a -> Product f g [a] Source #

many :: Product f g a -> Product f g [a] Source #

(Alternative f, Alternative g) => Alternative (f :*: g) Source #

Since: base-4.9.0.0

Instance details

Defined in GHC.Generics

Methods

empty :: (f :*: g) a Source #

(<|>) :: (f :*: g) a -> (f :*: g) a -> (f :*: g) a Source #

some :: (f :*: g) a -> (f :*: g) [a] Source #

many :: (f :*: g) a -> (f :*: g) [a] Source #

(Alternative f, Applicative g) => Alternative (Compose f g) Source #

Since: base-4.9.0.0

Instance details

Defined in Data.Functor.Compose

Methods

empty :: Compose f g a Source #

(<|>) :: Compose f g a -> Compose f g a -> Compose f g a Source #

some :: Compose f g a -> Compose f g [a] Source #

many :: Compose f g a -> Compose f g [a] Source #

(Alternative f, Applicative g) => Alternative (f :.: g) Source #

Since: base-4.9.0.0

Instance details

Defined in GHC.Generics

Methods

empty :: (f :.: g) a Source #

(<|>) :: (f :.: g) a -> (f :.: g) a -> (f :.: g) a Source #

some :: (f :.: g) a -> (f :.: g) [a] Source #

many :: (f :.: g) a -> (f :.: g) [a] Source #

Alternative f => Alternative (M1 i c f) Source #

Since: base-4.9.0.0

Instance details

Defined in GHC.Generics

Methods

empty :: M1 i c f a Source #

(<|>) :: M1 i c f a -> M1 i c f a -> M1 i c f a Source #

some :: M1 i c f a -> M1 i c f [a] Source #

many :: M1 i c f a -> M1 i c f [a] Source #

class Functor (f :: Type -> Type) where Source #

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. See https://www.schoolofhaskell.com/user/edwardk/snippets/fmap or https://github.com/quchen/articles/blob/master/second_functor_law.md for an explanation.

Minimal complete definition

fmap

Methods

fmap :: (a -> b) -> f a -> f b Source #

fmap is used to apply a function of type (a -> b) to a value of type f a, where f is a functor, to produce a value of type f b. Note that for any type constructor with more than one parameter (e.g., Either), only the last type parameter can be modified with fmap (e.g., b in `Either a b`).

Some type constructors with two parameters or more have a Bifunctor instance that allows both the last and the penultimate parameters to be mapped over.

Examples

Expand

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

>>> fmap show Nothing
Nothing
>>> fmap show (Just 3)
Just "3"

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

>>> fmap show (Left 17)
Left 17
>>> fmap show (Right 17)
Right "17"

Double each element of a list:

>>> fmap (*2) [1,2,3]
[2,4,6]

Apply even to the second element of a pair:

>>> fmap even (2,2)
(2,True)

It may seem surprising that the function is only applied to the last element of the tuple compared to the list example above which applies it to every element in the list. To understand, remember that tuples are type constructors with multiple type parameters: a tuple of 3 elements (a,b,c) can also be written (,,) a b c and its Functor instance is defined for Functor ((,,) a b) (i.e., only the third parameter is free to be mapped over with fmap).

It explains why fmap can be used with tuples containing values of different types as in the following example:

>>> fmap even ("hello", 1.0, 4)
("hello",1.0,True)

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

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.

Examples

Expand

Perform a computation with Maybe and replace the result with a constant value if it is Just:

>>> 'a' <$ Just 2
Just 'a'
>>> 'a' <$ Nothing
Nothing

Instances

Instances details
Functor ZipList Source #

Since: base-2.1

Instance details

Defined in Control.Applicative

Methods

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

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

Functor Handler Source #

Since: base-4.6.0.0

Instance details

Defined in Control.Exception

Methods

fmap :: (a -> b) -> Handler a -> Handler b Source #

(<$) :: a -> Handler b -> Handler a Source #

Functor Complex Source #

Since: base-4.9.0.0

Instance details

Defined in Data.Complex

Methods

fmap :: (a -> b) -> Complex a -> Complex b Source #

(<$) :: a -> Complex b -> Complex a Source #

Functor Identity Source #

Since: base-4.8.0.0

Instance details

Defined in Data.Functor.Identity

Methods

fmap :: (a -> b) -> Identity a -> Identity b Source #

(<$) :: a -> Identity b -> Identity a Source #

Functor First Source #

Since: base-4.8.0.0

Instance details

Defined in Data.Monoid

Methods

fmap :: (a -> b) -> First a -> First b Source #

(<$) :: a -> First b -> First a Source #

Functor Last Source #

Since: base-4.8.0.0

Instance details

Defined in Data.Monoid

Methods

fmap :: (a -> b) -> Last a -> Last b Source #

(<$) :: a -> Last b -> Last a Source #

Functor Down Source #

Since: base-4.11.0.0

Instance details

Defined in Data.Ord

Methods

fmap :: (a -> b) -> Down a -> Down b Source #

(<$) :: a -> Down b -> Down a Source #

Functor First Source #

Since: base-4.9.0.0

Instance details

Defined in Data.Semigroup

Methods

fmap :: (a -> b) -> First a -> First b Source #

(<$) :: a -> First b -> First a Source #

Functor Last Source #

Since: base-4.9.0.0

Instance details

Defined in Data.Semigroup

Methods

fmap :: (a -> b) -> Last a -> Last b Source #

(<$) :: a -> Last b -> Last a Source #

Functor Max Source #

Since: base-4.9.0.0

Instance details

Defined in Data.Semigroup

Methods

fmap :: (a -> b) -> Max a -> Max b Source #

(<$) :: a -> Max b -> Max a Source #

Functor Min Source #

Since: base-4.9.0.0

Instance details

Defined in Data.Semigroup

Methods

fmap :: (a -> b) -> Min a -> Min b Source #

(<$) :: a -> Min b -> Min a Source #

Functor Dual Source #

Since: base-4.8.0.0

Instance details

Defined in Data.Semigroup.Internal

Methods

fmap :: (a -> b) -> Dual a -> Dual b Source #

(<$) :: a -> Dual b -> Dual a Source #

Functor Product Source #

Since: base-4.8.0.0

Instance details

Defined in Data.Semigroup.Internal

Methods

fmap :: (a -> b) -> Product a -> Product b Source #

(<$) :: a -> Product b -> Product a Source #

Functor Sum Source #

Since: base-4.8.0.0

Instance details

Defined in Data.Semigroup.Internal

Methods

fmap :: (a -> b) -> Sum a -> Sum b Source #

(<$) :: a -> Sum b -> Sum a Source #

Functor NonEmpty Source #

Since: base-4.9.0.0

Instance details

Defined in GHC.Base

Methods

fmap :: (a -> b) -> NonEmpty a -> NonEmpty b Source #

(<$) :: a -> NonEmpty b -> NonEmpty a Source #

Functor STM Source #

Since: base-4.3.0.0

Instance details

Defined in GHC.Conc.Sync

Methods

fmap :: (a -> b) -> STM a -> STM b Source #

(<$) :: a -> STM b -> STM a Source #

Functor NoIO Source #

Since: base-4.8.0.0

Instance details

Defined in GHC.GHCi

Methods

fmap :: (a -> b) -> NoIO a -> NoIO b Source #

(<$) :: a -> NoIO b -> NoIO a Source #

Functor Par1 Source #

Since: base-4.9.0.0

Instance details

Defined in GHC.Generics

Methods

fmap :: (a -> b) -> Par1 a -> Par1 b Source #

(<$) :: a -> Par1 b -> Par1 a Source #

Functor ArgDescr Source #

Since: base-4.7.0.0

Instance details

Defined in System.Console.GetOpt

Methods

fmap :: (a -> b) -> ArgDescr a -> ArgDescr b Source #

(<$) :: a -> ArgDescr b -> ArgDescr a Source #

Functor ArgOrder Source #

Since: base-4.7.0.0

Instance details

Defined in System.Console.GetOpt

Methods

fmap :: (a -> b) -> ArgOrder a -> ArgOrder b Source #

(<$) :: a -> ArgOrder b -> ArgOrder a Source #

Functor OptDescr Source #

Since: base-4.7.0.0

Instance details

Defined in System.Console.GetOpt

Methods

fmap :: (a -> b) -> OptDescr a -> OptDescr b Source #

(<$) :: a -> OptDescr b -> OptDescr a Source #

Functor ReadP Source #

Since: base-2.1

Instance details

Defined in Text.ParserCombinators.ReadP

Methods

fmap :: (a -> b) -> ReadP a -> ReadP b Source #

(<$) :: a -> ReadP b -> ReadP a Source #

Functor ReadPrec Source #

Since: base-2.1

Instance details

Defined in Text.ParserCombinators.ReadPrec

Methods

fmap :: (a -> b) -> ReadPrec a -> ReadPrec b Source #

(<$) :: a -> ReadPrec b -> ReadPrec a Source #

Functor IO Source #

Since: base-2.1

Instance details

Defined in GHC.Base

Methods

fmap :: (a -> b) -> IO a -> IO b Source #

(<$) :: a -> IO b -> IO a Source #

Functor Maybe Source #

Since: base-2.1

Instance details

Defined in GHC.Base

Methods

fmap :: (a -> b) -> Maybe a -> Maybe b Source #

(<$) :: a -> Maybe b -> Maybe a Source #

Functor Solo Source #

Since: base-4.15

Instance details

Defined in GHC.Base

Methods

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

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

Functor List Source #

Since: base-2.1

Instance details

Defined in GHC.Base

Methods

fmap :: (a -> b) -> [a] -> [b] Source #

(<$) :: a -> [b] -> [a] Source #

Monad m => Functor (WrappedMonad m) Source #

Since: base-2.1

Instance details

Defined in Control.Applicative

Methods

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

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

Arrow a => Functor (ArrowMonad a) Source #

Since: base-4.6.0.0

Instance details

Defined in Control.Arrow

Methods

fmap :: (a0 -> b) -> ArrowMonad a a0 -> ArrowMonad a b Source #

(<$) :: a0 -> ArrowMonad a b -> ArrowMonad a a0 Source #

Functor (ST s) Source #

Since: base-2.1

Instance details

Defined in Control.Monad.ST.Lazy.Imp

Methods

fmap :: (a -> b) -> ST s a -> ST s b Source #

(<$) :: a -> ST s b -> ST s a Source #

Functor (Either a) Source #

Since: base-3.0

Instance details

Defined in Data.Either

Methods

fmap :: (a0 -> b) -> Either a a0 -> Either a b Source #

(<$) :: a0 -> Either a b -> Either a a0 Source #

Functor (Proxy :: Type -> Type) Source #

Since: base-4.7.0.0

Instance details

Defined in Data.Proxy

Methods

fmap :: (a -> b) -> Proxy a -> Proxy b Source #

(<$) :: a -> Proxy b -> Proxy a Source #

Functor (Arg a) Source #

Since: base-4.9.0.0

Instance details

Defined in Data.Semigroup

Methods

fmap :: (a0 -> b) -> Arg a a0 -> Arg a b Source #

(<$) :: a0 -> Arg a b -> Arg a a0 Source #

Functor (Array i) Source #

Since: base-2.1

Instance details

Defined in GHC.Arr

Methods

fmap :: (a -> b) -> Array i a -> Array i b Source #

(<$) :: a -> Array i b -> Array i a Source #

Functor (U1 :: Type -> Type) Source #

Since: base-4.9.0.0

Instance details

Defined in GHC.Generics

Methods

fmap :: (a -> b) -> U1 a -> U1 b Source #

(<$) :: a -> U1 b -> U1 a Source #

Functor (V1 :: Type -> Type) Source #

Since: base-4.9.0.0

Instance details

Defined in GHC.Generics

Methods

fmap :: (a -> b) -> V1 a -> V1 b Source #

(<$) :: a -> V1 b -> V1 a Source #

Functor (ST s) Source #

Since: base-2.1

Instance details

Defined in GHC.ST

Methods

fmap :: (a -> b) -> ST s a -> ST s b Source #

(<$) :: a -> ST s b -> ST s a Source #

Functor (Tuple2 a) Source #

Since: base-2.1

Instance details

Defined in GHC.Base

Methods

fmap :: (a0 -> b) -> (a, a0) -> (a, b) Source #

(<$) :: a0 -> (a, b) -> (a, a0) Source #

Arrow a => Functor (WrappedArrow a b) Source #

Since: base-2.1

Instance details

Defined in Control.Applicative

Methods

fmap :: (a0 -> b0) -> WrappedArrow a b a0 -> WrappedArrow a b b0 Source #

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

Functor m => Functor (Kleisli m a) Source #

Since: base-4.14.0.0

Instance details

Defined in Control.Arrow

Methods

fmap :: (a0 -> b) -> Kleisli m a a0 -> Kleisli m a b Source #

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

Functor (Const m :: Type -> Type) Source #

Since: base-2.1

Instance details

Defined in Data.Functor.Const

Methods

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

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

Functor f => Functor (Ap f) Source #

Since: base-4.12.0.0

Instance details

Defined in Data.Monoid

Methods

fmap :: (a -> b) -> Ap f a -> Ap f b Source #

(<$) :: a -> Ap f b -> Ap f a Source #

Functor f => Functor (Alt f) Source #

Since: base-4.8.0.0

Instance details

Defined in Data.Semigroup.Internal

Methods

fmap :: (a -> b) -> Alt f a -> Alt f b Source #

(<$) :: a -> Alt f b -> Alt f a Source #

(Generic1 f, Functor (Rep1 f)) => Functor (Generically1 f) Source #

Since: base-4.17.0.0

Instance details

Defined in GHC.Generics

Methods

fmap :: (a -> b) -> Generically1 f a -> Generically1 f b Source #

(<$) :: a -> Generically1 f b -> Generically1 f a Source #

Functor f => Functor (Rec1 f) Source #

Since: base-4.9.0.0

Instance details

Defined in GHC.Generics

Methods

fmap :: (a -> b) -> Rec1 f a -> Rec1 f b Source #

(<$) :: a -> Rec1 f b -> Rec1 f a Source #

Functor (URec (Ptr ()) :: Type -> Type) Source #

Since: base-4.9.0.0

Instance details

Defined in GHC.Generics

Methods

fmap :: (a -> b) -> URec (Ptr ()) a -> URec (Ptr ()) b Source #

(<$) :: a -> URec (Ptr ()) b -> URec (Ptr ()) a Source #

Functor (URec Char :: Type -> Type) Source #

Since: base-4.9.0.0

Instance details

Defined in GHC.Generics

Methods

fmap :: (a -> b) -> URec Char a -> URec Char b Source #

(<$) :: a -> URec Char b -> URec Char a Source #

Functor (URec Double :: Type -> Type) Source #

Since: base-4.9.0.0

Instance details

Defined in GHC.Generics

Methods

fmap :: (a -> b) -> URec Double a -> URec Double b Source #

(<$) :: a -> URec Double b -> URec Double a Source #

Functor (URec Float :: Type -> Type) Source #

Since: base-4.9.0.0

Instance details

Defined in GHC.Generics

Methods

fmap :: (a -> b) -> URec Float a -> URec Float b Source #

(<$) :: a -> URec Float b -> URec Float a Source #

Functor (URec Int :: Type -> Type) Source #

Since: base-4.9.0.0

Instance details

Defined in GHC.Generics

Methods

fmap :: (a -> b) -> URec Int a -> URec Int b Source #

(<$) :: a -> URec Int b -> URec Int a Source #

Functor (URec Word :: Type -> Type) Source #

Since: base-4.9.0.0

Instance details

Defined in GHC.Generics

Methods

fmap :: (a -> b) -> URec Word a -> URec Word b Source #

(<$) :: a -> URec Word b -> URec Word a Source #

Functor (Tuple3 a b) Source #

Since: base-4.14.0.0

Instance details

Defined in GHC.Base

Methods

fmap :: (a0 -> b0) -> (a, b, a0) -> (a, b, b0) Source #

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

(Functor f, Functor g) => Functor (Product f g) Source #

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 Source #

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

(Functor f, Functor g) => Functor (Sum f g) Source #

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 Source #

(<$) :: a -> Sum f g b -> Sum f g a Source #

(Functor f, Functor g) => Functor (f :*: g) Source #

Since: base-4.9.0.0

Instance details

Defined in GHC.Generics

Methods

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

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

(Functor f, Functor g) => Functor (f :+: g) Source #

Since: base-4.9.0.0

Instance details

Defined in GHC.Generics

Methods

fmap :: (a -> b) -> (f :+: g) a -> (f :+: g) b Source #

(<$) :: a -> (f :+: g) b -> (f :+: g) a Source #

Functor (K1 i c :: Type -> Type) Source #

Since: base-4.9.0.0

Instance details

Defined in GHC.Generics

Methods

fmap :: (a -> b) -> K1 i c a -> K1 i c b Source #

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

Functor (Tuple4 a b c) Source #

Since: base-4.14.0.0

Instance details

Defined in GHC.Base

Methods

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

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

Functor ((->) r) Source #

Since: base-2.1

Instance details

Defined in GHC.Base

Methods

fmap :: (a -> b) -> (r -> a) -> r -> b Source #

(<$) :: a -> (r -> b) -> r -> a Source #

(Functor f, Functor g) => Functor (Compose f g) Source #

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 Source #

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

(Functor f, Functor g) => Functor (f :.: g) Source #

Since: base-4.9.0.0

Instance details

Defined in GHC.Generics

Methods

fmap :: (a -> b) -> (f :.: g) a -> (f :.: g) b Source #

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

Functor f => Functor (M1 i c f) Source #

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 Source #

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

Functor (Tuple5 a b c d) Source #

Since: base-4.18.0.0

Instance details

Defined in GHC.Base

Methods

fmap :: (a0 -> b0) -> (a, b, c, d, a0) -> (a, b, c, d, b0) Source #

(<$) :: a0 -> (a, b, c, d, b0) -> (a, b, c, d, a0) Source #

Functor (Tuple6 a b c d e) Source #

Since: base-4.18.0.0

Instance details

Defined in GHC.Base

Methods

fmap :: (a0 -> b0) -> (a, b, c, d, e, a0) -> (a, b, c, d, e, b0) Source #

(<$) :: a0 -> (a, b, c, d, e, b0) -> (a, b, c, d, e, a0) Source #

Functor (Tuple7 a b c d e f) Source #

Since: base-4.18.0.0

Instance details

Defined in GHC.Base

Methods

fmap :: (a0 -> b0) -> (a, b, c, d, e, f, a0) -> (a, b, c, d, e, f, b0) Source #

(<$) :: a0 -> (a, b, c, d, e, f, b0) -> (a, b, c, d, e, f, a0) Source #

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

A variant of <*> with the types of the arguments reversed. It differs from flip (<*>) in that the effects are resolved in the order the arguments are presented.

Examples

Expand
>>> (<**>) (print 1) (id <$ print 2)
1
2
>>> flip (<*>) (print 1) (id <$ print 2)
2
1

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

Lift a function to actions. Equivalent to Functor's fmap but implemented using only Applicative's methods: liftA f a = pure f <*> a

As such this function may be used to implement a Functor instance from an Applicative one.

Examples

Expand

Using the Applicative instance for Lists:

>>> liftA (+1) [1, 2]
[2,3]

Or the Applicative instance for Maybe

>>> liftA (+1) (Just 3)
Just 4

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

Lift a ternary function to actions.

id :: a -> a Source #

Identity function.

id x = x

when :: Applicative f => Bool -> f () -> f () Source #

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.

assert :: Bool -> a -> a Source #

If the first argument evaluates to True, then the result is the second argument. Otherwise an AssertionFailed exception is raised, containing a String with the source file and line number of the call to assert.

Assertions can normally be turned on or off with a compiler flag (for GHC, assertions are normally on unless optimisation is turned on with -O or the -fignore-asserts option is given). When assertions are turned off, the first argument to assert is ignored, and the second argument is returned as the result.

class (Alternative m, Monad m) => MonadPlus (m :: Type -> Type) where Source #

Monads that also support choice and failure.

Minimal complete definition

Nothing

Methods

mzero :: m a Source #

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 Source #

An associative operation. The default definition is

mplus = (<|>)

Instances

Instances details
MonadPlus STM Source #

Takes the first non-retrying STM action.

Since: base-4.3.0.0

Instance details

Defined in GHC.Conc.Sync

Methods

mzero :: STM a Source #

mplus :: STM a -> STM a -> STM a Source #

MonadPlus ReadP Source #

Since: base-2.1

Instance details

Defined in Text.ParserCombinators.ReadP

Methods

mzero :: ReadP a Source #

mplus :: ReadP a -> ReadP a -> ReadP a Source #

MonadPlus ReadPrec Source #

Since: base-2.1

Instance details

Defined in Text.ParserCombinators.ReadPrec

MonadPlus IO Source #

Takes the first non-throwing IO action's result. mzero throws an exception.

Since: base-4.9.0.0

Instance details

Defined in GHC.Base

Methods

mzero :: IO a Source #

mplus :: IO a -> IO a -> IO a Source #

MonadPlus Maybe Source #

Picks the leftmost Just value, or, alternatively, Nothing.

Since: base-2.1

Instance details

Defined in GHC.Base

Methods

mzero :: Maybe a Source #

mplus :: Maybe a -> Maybe a -> Maybe a Source #

MonadPlus List Source #

Combines lists by concatenation, starting from the empty list.

Since: base-2.1

Instance details

Defined in GHC.Base

Methods

mzero :: [a] Source #

mplus :: [a] -> [a] -> [a] Source #

(ArrowApply a, ArrowPlus a) => MonadPlus (ArrowMonad a) Source #

Since: base-4.6.0.0

Instance details

Defined in Control.Arrow

Methods

mzero :: ArrowMonad a a0 Source #

mplus :: ArrowMonad a a0 -> ArrowMonad a a0 -> ArrowMonad a a0 Source #

MonadPlus (Proxy :: Type -> Type) Source #

Since: base-4.9.0.0

Instance details

Defined in Data.Proxy

Methods

mzero :: Proxy a Source #

mplus :: Proxy a -> Proxy a -> Proxy a Source #

MonadPlus (U1 :: Type -> Type) Source #

Since: base-4.9.0.0

Instance details

Defined in GHC.Generics

Methods

mzero :: U1 a Source #

mplus :: U1 a -> U1 a -> U1 a Source #

MonadPlus m => MonadPlus (Kleisli m a) Source #

Since: base-4.14.0.0

Instance details

Defined in Control.Arrow

Methods

mzero :: Kleisli m a a0 Source #

mplus :: Kleisli m a a0 -> Kleisli m a a0 -> Kleisli m a a0 Source #

MonadPlus f => MonadPlus (Ap f) Source #

Since: base-4.12.0.0

Instance details

Defined in Data.Monoid

Methods

mzero :: Ap f a Source #

mplus :: Ap f a -> Ap f a -> Ap f a Source #

MonadPlus f => MonadPlus (Alt f) Source #

Since: base-4.8.0.0

Instance details

Defined in Data.Semigroup.Internal

Methods

mzero :: Alt f a Source #

mplus :: Alt f a -> Alt f a -> Alt f a Source #

MonadPlus f => MonadPlus (Rec1 f) Source #

Since: base-4.9.0.0

Instance details

Defined in GHC.Generics

Methods

mzero :: Rec1 f a Source #

mplus :: Rec1 f a -> Rec1 f a -> Rec1 f a Source #

(MonadPlus f, MonadPlus g) => MonadPlus (Product f g) Source #

Since: base-4.9.0.0

Instance details

Defined in Data.Functor.Product

Methods

mzero :: Product f g a Source #

mplus :: Product f g a -> Product f g a -> Product f g a Source #

(MonadPlus f, MonadPlus g) => MonadPlus (f :*: g) Source #

Since: base-4.9.0.0

Instance details

Defined in GHC.Generics

Methods

mzero :: (f :*: g) a Source #

mplus :: (f :*: g) a -> (f :*: g) a -> (f :*: g) a Source #

MonadPlus f => MonadPlus (M1 i c f) Source #

Since: base-4.9.0.0

Instance details

Defined in GHC.Generics

Methods

mzero :: M1 i c f a Source #

mplus :: M1 i c f a -> M1 i c f a -> M1 i c f a Source #

mapM :: Monad m => (a -> m b) -> [a] -> m [b] Source #

mapM f is equivalent to sequence . map f.

sequence :: Monad m => [m a] -> m [a] Source #

Evaluate each action in the sequence from left to right, and collect the results.

(=<<) :: Monad m => (a -> m b) -> m a -> m b infixr 1 Source #

Same as >>=, but with the arguments interchanged.

join :: Monad m => m (m a) -> m a Source #

The join function is the conventional monad join operator. It is used to remove one level of monadic structure, projecting its bound argument into the outer level.

'join bss' can be understood as the do expression

do bs <- bss
   bs

Examples

Expand

A common use of join is to run an IO computation returned from an STM transaction, since STM transactions can't perform IO directly. Recall that

atomically :: STM a -> IO a

is used to run STM transactions atomically. So, by specializing the types of atomically and join to

atomically :: STM (IO b) -> IO (IO b)
join       :: IO (IO b)  -> IO b

we can compose them as

join . atomically :: STM (IO b) -> IO b

to run an STM transaction and the IO action it returns.

liftM :: Monad m => (a1 -> r) -> m a1 -> m r Source #

Promote a function to a monad.

liftM2 :: Monad m => (a1 -> a2 -> r) -> m a1 -> m a2 -> m r Source #

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

liftM3 :: Monad m => (a1 -> a2 -> a3 -> r) -> m a1 -> m a2 -> m a3 -> m r Source #

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 Source #

Promote a function to a monad, scanning the monadic arguments from left to right (cf. liftM2).

liftM5 :: Monad m => (a1 -> a2 -> a3 -> a4 -> a5 -> r) -> m a1 -> m a2 -> m a3 -> m a4 -> m a5 -> m r Source #

Promote a function to a monad, scanning the monadic arguments from left to right (cf. liftM2).

ap :: Monad m => m (a -> b) -> m a -> m b Source #

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

type String = [Char] Source #

A String is a list of characters. String constants in Haskell are values of type String.

See Data.List for operations on lists.

class Semigroup a => Monoid a where Source #

The class of monoids (types with an associative binary operation that has an identity). Instances should satisfy the following:

Right identity
x <> mempty = x
Left identity
mempty <> x = x
Associativity
x <> (y <> z) = (x <> y) <> z (Semigroup law)
Concatenation
mconcat = foldr (<>) mempty

You can alternatively define mconcat instead of mempty, in which case the laws are:

Unit
mconcat (pure x) = x
Multiplication
mconcat (join xss) = mconcat (fmap mconcat xss)
Subclass
mconcat (toList xs) = sconcat xs

The method names refer to the monoid of lists under concatenation, but there are many other instances.

Some types can be viewed as a monoid in more than one way, e.g. both addition and multiplication on numbers. In such cases we often define newtypes and make those instances of Monoid, e.g. Sum and Product.

NOTE: Semigroup is a superclass of Monoid since base-4.11.0.0.

Minimal complete definition

mempty | mconcat

Methods

mempty :: a Source #

Identity of mappend

>>> "Hello world" <> mempty
"Hello world"

mappend :: a -> a -> a Source #

An associative operation

NOTE: This method is redundant and has the default implementation mappend = (<>) since base-4.11.0.0. Should it be implemented manually, since mappend is a synonym for (<>), it is expected that the two functions are defined the same way. In a future GHC release mappend will be removed from Monoid.

mconcat :: [a] -> a Source #

Fold a list using the monoid.

For most types, the default definition for mconcat will be used, but the function is included in the class definition so that an optimized version can be provided for specific types.

>>> mconcat ["Hello", " ", "Haskell", "!"]
"Hello Haskell!"

Instances

Instances details
Monoid ByteArray Source #

Since: base-4.17.0.0

Instance details

Defined in Data.Array.Byte

Monoid All Source #

Since: base-2.1

Instance details

Defined in Data.Semigroup.Internal

Monoid Any Source #

Since: base-2.1

Instance details

Defined in Data.Semigroup.Internal

Monoid Event Source #

Since: base-4.4.0.0

Instance details

Defined in GHC.Event.Internal.Types

Monoid Lifetime Source #

mappend takes the longer of two lifetimes.

Since: base-4.8.0.0

Instance details

Defined in GHC.Event.Internal.Types

Monoid Ordering Source #

Since: base-2.1

Instance details

Defined in GHC.Base

Monoid () Source #

Since: base-2.1

Instance details

Defined in GHC.Base

Methods

mempty :: () Source #

mappend :: () -> () -> () Source #

mconcat :: [()] -> () Source #

FiniteBits a => Monoid (And a) Source #

This constraint is arguably too strong. However, as some types (such as Natural) have undefined complement, this is the only safe choice.

Since: base-4.16

Instance details

Defined in Data.Bits

Methods

mempty :: And a Source #

mappend :: And a -> And a -> And a Source #

mconcat :: [And a] -> And a Source #

FiniteBits a => Monoid (Iff a) Source #

This constraint is arguably too strong. However, as some types (such as Natural) have undefined complement, this is the only safe choice.

Since: base-4.16

Instance details

Defined in Data.Bits

Methods

mempty :: Iff a Source #

mappend :: Iff a -> Iff a -> Iff a Source #

mconcat :: [Iff a] -> Iff a Source #

Bits a => Monoid (Ior a) Source #

Since: base-4.16

Instance details

Defined in Data.Bits

Methods

mempty :: Ior a Source #

mappend :: Ior a -> Ior a -> Ior a Source #

mconcat :: [Ior a] -> Ior a Source #

Bits a => Monoid (Xor a) Source #

Since: base-4.16

Instance details

Defined in Data.Bits

Methods

mempty :: Xor a Source #

mappend :: Xor a -> Xor a -> Xor a Source #

mconcat :: [Xor a] -> Xor a Source #

Monoid (Comparison a) Source #

mempty on comparisons always returns EQ. Without newtypes this equals pure (pure EQ).

mempty :: Comparison a
mempty = Comparison _ _ -> EQ
Instance details

Defined in Data.Functor.Contravariant

Monoid (Equivalence a) Source #

mempty on equivalences always returns True. Without newtypes this equals pure (pure True).

mempty :: Equivalence a
mempty = Equivalence _ _ -> True
Instance details

Defined in Data.Functor.Contravariant

Monoid (Predicate a) Source #

mempty on predicates always returns True. Without newtypes this equals pure True.

mempty :: Predicate a
mempty = _ -> True
Instance details

Defined in Data.Functor.Contravariant

Monoid a => Monoid (Identity a) Source #

Since: base-4.9.0.0

Instance details

Defined in Data.Functor.Identity

Monoid (First a) Source #

Since: base-2.1

Instance details

Defined in Data.Monoid

Methods

mempty :: First a Source #

mappend :: First a -> First a -> First a Source #

mconcat :: [First a] -> First a Source #

Monoid (Last a) Source #

Since: base-2.1

Instance details

Defined in Data.Monoid

Methods

mempty :: Last a Source #

mappend :: Last a -> Last a -> Last a Source #

mconcat :: [Last a] -> Last a Source #

Monoid a => Monoid (Down a) Source #

Since: base-4.11.0.0

Instance details

Defined in Data.Ord

Methods

mempty :: Down a Source #

mappend :: Down a -> Down a -> Down a Source #

mconcat :: [Down a] -> Down a Source #

(Ord a, Bounded a) => Monoid (Max a) Source #

Since: base-4.9.0.0

Instance details

Defined in Data.Semigroup

Methods

mempty :: Max a Source #

mappend :: Max a -> Max a -> Max a Source #

mconcat :: [Max a] -> Max a Source #

(Ord a, Bounded a) => Monoid (Min a) Source #

Since: base-4.9.0.0

Instance details

Defined in Data.Semigroup

Methods

mempty :: Min a Source #

mappend :: Min a -> Min a -> Min a Source #

mconcat :: [Min a] -> Min a Source #

Monoid m => Monoid (WrappedMonoid m) Source #

Since: base-4.9.0.0

Instance details

Defined in Data.Semigroup

Monoid a => Monoid (Dual a) Source #

Since: base-2.1

Instance details

Defined in Data.Semigroup.Internal

Methods

mempty :: Dual a Source #

mappend :: Dual a -> Dual a -> Dual a Source #

mconcat :: [Dual a] -> Dual a Source #

Monoid (Endo a) Source #

Since: base-2.1

Instance details

Defined in Data.Semigroup.Internal

Methods

mempty :: Endo a Source #

mappend :: Endo a -> Endo a -> Endo a Source #

mconcat :: [Endo a] -> Endo a Source #

Num a => Monoid (Product a) Source #

Since: base-2.1

Instance details

Defined in Data.Semigroup.Internal

Num a => Monoid (Sum a) Source #

Since: base-2.1

Instance details

Defined in Data.Semigroup.Internal

Methods

mempty :: Sum a Source #

mappend :: Sum a -> Sum a -> Sum a Source #

mconcat :: [Sum a] -> Sum a Source #

Monoid a => Monoid (STM a) Source #

Since: base-4.17.0.0

Instance details

Defined in GHC.Conc.Sync

Methods

mempty :: STM a Source #

mappend :: STM a -> STM a -> STM a Source #

mconcat :: [STM a] -> STM a Source #

(Generic a, Monoid (Rep a ())) => Monoid (Generically a) Source #

Since: base-4.17.0.0

Instance details

Defined in GHC.Generics

Monoid p => Monoid (Par1 p) Source #

Since: base-4.12.0.0

Instance details

Defined in GHC.Generics

Methods

mempty :: Par1 p Source #

mappend :: Par1 p -> Par1 p -> Par1 p Source #

mconcat :: [Par1 p] -> Par1 p Source #

Monoid a => Monoid (IO a) Source #

Since: base-4.9.0.0

Instance details

Defined in GHC.Base

Methods

mempty :: IO a Source #

mappend :: IO a -> IO a -> IO a Source #

mconcat :: [IO a] -> IO a Source #

Semigroup a => Monoid (Maybe a) Source #

Lift a semigroup into Maybe forming a Monoid according to http://en.wikipedia.org/wiki/Monoid: "Any semigroup S may be turned into a monoid simply by adjoining an element e not in S and defining e*e = e and e*s = s = s*e for all s ∈ S."

Since 4.11.0: constraint on inner a value generalised from Monoid to Semigroup.

Since: base-2.1

Instance details

Defined in GHC.Base

Methods

mempty :: Maybe a Source #

mappend :: Maybe a -> Maybe a -> Maybe a Source #

mconcat :: [Maybe a] -> Maybe a Source #

Monoid a => Monoid (a) Source #

Since: base-4.15

Instance details

Defined in GHC.Base

Methods

mempty :: (a) Source #

mappend :: (a) -> (a) -> (a) Source #

mconcat :: [(a)] -> (a) Source #

Monoid [a] Source #

Since: base-2.1

Instance details

Defined in GHC.Base

Methods

mempty :: [a] Source #

mappend :: [a] -> [a] -> [a] Source #

mconcat :: [[a]] -> [a] Source #

Monoid a => Monoid (Op a b) Source #

mempty @(Op a b) without newtypes is mempty @(b->a) = _ -> mempty.

mempty :: Op a b
mempty = Op _ -> mempty
Instance details

Defined in Data.Functor.Contravariant

Methods

mempty :: Op a b Source #

mappend :: Op a b -> Op a b -> Op a b Source #

mconcat :: [Op a b] -> Op a b Source #

Monoid (Proxy s) Source #

Since: base-4.7.0.0

Instance details

Defined in Data.Proxy

Methods

mempty :: Proxy s Source #

mappend :: Proxy s -> Proxy s -> Proxy s Source #

mconcat :: [Proxy s] -> Proxy s Source #

Monoid (U1 p) Source #

Since: base-4.12.0.0

Instance details

Defined in GHC.Generics

Methods

mempty :: U1 p Source #

mappend :: U1 p -> U1 p -> U1 p Source #

mconcat :: [U1 p] -> U1 p Source #

Monoid a => Monoid (ST s a) Source #

Since: base-4.11.0.0

Instance details

Defined in GHC.ST

Methods

mempty :: ST s a Source #

mappend :: ST s a -> ST s a -> ST s a Source #

mconcat :: [ST s a] -> ST s a Source #

(Monoid a, Monoid b) => Monoid (a, b) Source #

Since: base-2.1

Instance details

Defined in GHC.Base

Methods

mempty :: (a, b) Source #

mappend :: (a, b) -> (a, b) -> (a, b) Source #

mconcat :: [(a, b)] -> (a, b) Source #

Monoid b => Monoid (a -> b) Source #

Since: base-2.1

Instance details

Defined in GHC.Base

Methods

mempty :: a -> b Source #

mappend :: (a -> b) -> (a -> b) -> a -> b Source #

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

Monoid a => Monoid (Const a b) Source #

Since: base-4.9.0.0

Instance details

Defined in Data.Functor.Const

Methods

mempty :: Const a b Source #

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

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

(Applicative f, Monoid a) => Monoid (Ap f a) Source #

Since: base-4.12.0.0

Instance details

Defined in Data.Monoid

Methods

mempty :: Ap f a Source #

mappend :: Ap f a -> Ap f a -> Ap f a Source #

mconcat :: [Ap f a] -> Ap f a Source #

Alternative f => Monoid (Alt f a) Source #

Since: base-4.8.0.0

Instance details

Defined in Data.Semigroup.Internal

Methods

mempty :: Alt f a Source #

mappend :: Alt f a -> Alt f a -> Alt f a Source #

mconcat :: [Alt f a] -> Alt f a Source #

Monoid (f p) => Monoid (Rec1 f p) Source #

Since: base-4.12.0.0

Instance details

Defined in GHC.Generics

Methods

mempty :: Rec1 f p Source #

mappend :: Rec1 f p -> Rec1 f p -> Rec1 f p Source #

mconcat :: [Rec1 f p] -> Rec1 f p Source #

(Monoid a, Monoid b, Monoid c) => Monoid (a, b, c) Source #

Since: base-2.1

Instance details

Defined in GHC.Base

Methods

mempty :: (a, b, c) Source #

mappend :: (a, b, c) -> (a, b, c) -> (a, b, c) Source #

mconcat :: [(a, b, c)] -> (a, b, c) Source #

(Monoid (f a), Monoid (g a)) => Monoid (Product f g a) Source #

Since: base-4.16.0.0

Instance details

Defined in Data.Functor.Product

Methods

mempty :: Product f g a Source #

mappend :: Product f g a -> Product f g a -> Product f g a Source #

mconcat :: [Product f g a] -> Product f g a Source #

(Monoid (f p), Monoid (g p)) => Monoid ((f :*: g) p) Source #

Since: base-4.12.0.0

Instance details

Defined in GHC.Generics

Methods

mempty :: (f :*: g) p Source #

mappend :: (f :*: g) p -> (f :*: g) p -> (f :*: g) p Source #

mconcat :: [(f :*: g) p] -> (f :*: g) p Source #

Monoid c => Monoid (K1 i c p) Source #

Since: base-4.12.0.0

Instance details

Defined in GHC.Generics

Methods

mempty :: K1 i c p Source #

mappend :: K1 i c p -> K1 i c p -> K1 i c p Source #

mconcat :: [K1 i c p] -> K1 i c p Source #

(Monoid a, Monoid b, Monoid c, Monoid d) => Monoid (a, b, c, d) Source #

Since: base-2.1

Instance details

Defined in GHC.Base

Methods

mempty :: (a, b, c, d) Source #

mappend :: (a, b, c, d) -> (a, b, c, d) -> (a, b, c, d) Source #

mconcat :: [(a, b, c, d)] -> (a, b, c, d) Source #

Monoid (f (g a)) => Monoid (Compose f g a) Source #

Since: base-4.16.0.0

Instance details

Defined in Data.Functor.Compose

Methods

mempty :: Compose f g a Source #

mappend :: Compose f g a -> Compose f g a -> Compose f g a Source #

mconcat :: [Compose f g a] -> Compose f g a Source #

Monoid (f (g p)) => Monoid ((f :.: g) p) Source #

Since: base-4.12.0.0

Instance details

Defined in GHC.Generics

Methods

mempty :: (f :.: g) p Source #

mappend :: (f :.: g) p -> (f :.: g) p -> (f :.: g) p Source #

mconcat :: [(f :.: g) p] -> (f :.: g) p Source #

Monoid (f p) => Monoid (M1 i c f p) Source #

Since: base-4.12.0.0

Instance details

Defined in GHC.Generics

Methods

mempty :: M1 i c f p Source #

mappend :: M1 i c f p -> M1 i c f p -> M1 i c f p Source #

mconcat :: [M1 i c f p] -> M1 i c f p Source #

(Monoid a, Monoid b, Monoid c, Monoid d, Monoid e) => Monoid (a, b, c, d, e) Source #

Since: base-2.1

Instance details

Defined in GHC.Base

Methods

mempty :: (a, b, c, d, e) Source #

mappend :: (a, b, c, d, e) -> (a, b, c, d, e) -> (a, b, c, d, e) Source #

mconcat :: [(a, b, c, d, e)] -> (a, b, c, d, e) Source #

data NonEmpty a Source #

Non-empty (and non-strict) list type.

Since: base-4.9.0.0

Constructors

a :| [a] infixr 5 

Instances

Instances details
MonadFix NonEmpty Source #

Since: base-4.9.0.0

Instance details

Defined in Control.Monad.Fix

Methods

mfix :: (a -> NonEmpty a) -> NonEmpty a Source #

MonadZip NonEmpty Source #

Since: base-4.9.0.0

Instance details

Defined in Control.Monad.Zip

Methods

mzip :: NonEmpty a -> NonEmpty b -> NonEmpty (a, b) Source #

mzipWith :: (a -> b -> c) -> NonEmpty a -> NonEmpty b -> NonEmpty c Source #

munzip :: NonEmpty (a, b) -> (NonEmpty a, NonEmpty b) Source #

Foldable NonEmpty Source #

Since: base-4.9.0.0

Instance details

Defined in Data.Foldable

Methods

fold :: Monoid m => NonEmpty m -> m Source #

foldMap :: Monoid m => (a -> m) -> NonEmpty a -> m Source #

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

foldr :: (a -> b -> b) -> b -> NonEmpty a -> b Source #

foldr' :: (a -> b -> b) -> b -> NonEmpty a -> b Source #

foldl :: (b -> a -> b) -> b -> NonEmpty a -> b Source #

foldl' :: (b -> a -> b) -> b -> NonEmpty a -> b Source #

foldr1 :: (a -> a -> a) -> NonEmpty a -> a Source #

foldl1 :: (a -> a -> a) -> NonEmpty a -> a Source #

toList :: NonEmpty a -> [a] Source #

null :: NonEmpty a -> Bool Source #

length :: NonEmpty a -> Int Source #

elem :: Eq a => a -> NonEmpty a -> Bool Source #

maximum :: Ord a => NonEmpty a -> a Source #

minimum :: Ord a => NonEmpty a -> a Source #

sum :: Num a => NonEmpty a -> a Source #

product :: Num a => NonEmpty a -> a Source #

Foldable1 NonEmpty Source #

Since: base-4.18.0.0

Instance details

Defined in Data.Foldable1

Methods

fold1 :: Semigroup m => NonEmpty m -> m Source #

foldMap1 :: Semigroup m => (a -> m) -> NonEmpty a -> m Source #

foldMap1' :: Semigroup m => (a -> m) -> NonEmpty a -> m Source #

toNonEmpty :: NonEmpty a -> NonEmpty a Source #

maximum :: Ord a => NonEmpty a -> a Source #

minimum :: Ord a => NonEmpty a -> a Source #

head :: NonEmpty a -> a Source #

last :: NonEmpty a -> a Source #

foldrMap1 :: (a -> b) -> (a -> b -> b) -> NonEmpty a -> b Source #

foldlMap1' :: (a -> b) -> (b -> a -> b) -> NonEmpty a -> b Source #

foldlMap1 :: (a -> b) -> (b -> a -> b) -> NonEmpty a -> b Source #

foldrMap1' :: (a -> b) -> (a -> b -> b) -> NonEmpty a -> b Source #

Eq1 NonEmpty Source #

Since: base-4.10.0.0

Instance details

Defined in Data.Functor.Classes

Methods

liftEq :: (a -> b -> Bool) -> NonEmpty a -> NonEmpty b -> Bool Source #

Ord1 NonEmpty Source #

Since: base-4.10.0.0

Instance details

Defined in Data.Functor.Classes

Methods

liftCompare :: (a -> b -> Ordering) -> NonEmpty a -> NonEmpty b -> Ordering Source #

Read1 NonEmpty Source #

Since: base-4.10.0.0

Instance details

Defined in Data.Functor.Classes

Show1 NonEmpty Source #

Since: base-4.10.0.0

Instance details

Defined in Data.Functor.Classes

Methods

liftShowsPrec :: (Int -> a -> ShowS) -> ([a] -> ShowS) -> Int -> NonEmpty a -> ShowS Source #

liftShowList :: (Int -> a -> ShowS) -> ([a] -> ShowS) -> [NonEmpty a] -> ShowS Source #

Traversable NonEmpty Source #

Since: base-4.9.0.0

Instance details

Defined in Data.Traversable

Methods

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

sequenceA :: Applicative f => NonEmpty (f a) -> f (NonEmpty a) Source #

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

sequence :: Monad m => NonEmpty (m a) -> m (NonEmpty a) Source #

Applicative NonEmpty Source #

Since: base-4.9.0.0

Instance details

Defined in GHC.Base

Methods

pure :: a -> NonEmpty a Source #

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

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

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

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

Functor NonEmpty Source #

Since: base-4.9.0.0

Instance details

Defined in GHC.Base

Methods

fmap :: (a -> b) -> NonEmpty a -> NonEmpty b Source #

(<$) :: a -> NonEmpty b -> NonEmpty a Source #

Monad NonEmpty Source #

Since: base-4.9.0.0

Instance details

Defined in GHC.Base

Methods

(>>=) :: NonEmpty a -> (a -> NonEmpty b) -> NonEmpty b Source #

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

return :: a -> NonEmpty a Source #

Generic1 NonEmpty Source # 
Instance details

Defined in GHC.Generics

Associated Types

type Rep1 NonEmpty

Since: base-4.6.0.0

Instance details

Defined in GHC.Generics

Data a => Data (NonEmpty a) Source #

Since: base-4.9.0.0

Instance details

Defined in Data.Data

Methods

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

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

toConstr :: NonEmpty a -> Constr Source #

dataTypeOf :: NonEmpty a -> DataType Source #

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

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

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

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

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

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

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

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

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

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

Semigroup (NonEmpty a) Source #

Since: base-4.9.0.0

Instance details

Defined in GHC.Base

Generic (NonEmpty a) Source # 
Instance details

Defined in GHC.Generics

Associated Types

type Rep (NonEmpty a)

Since: base-4.6.0.0

Instance details

Defined in GHC.Generics

Methods

from :: NonEmpty a -> Rep (NonEmpty a) x Source #

to :: Rep (NonEmpty a) x -> NonEmpty a Source #

IsList (NonEmpty a) Source #

Since: base-4.9.0.0

Instance details

Defined in GHC.IsList

Associated Types

type Item (NonEmpty a) 
Instance details

Defined in GHC.IsList

type Item (NonEmpty a) = a
Read a => Read (NonEmpty a) Source #

Since: base-4.11.0.0

Instance details

Defined in GHC.Read

Show a => Show (NonEmpty a) Source #

Since: base-4.11.0.0

Instance details

Defined in GHC.Show

Eq a => Eq (NonEmpty a) Source #

Since: base-4.9.0.0

Instance details

Defined in GHC.Base

Methods

(==) :: NonEmpty a -> NonEmpty a -> Bool Source #

(/=) :: NonEmpty a -> NonEmpty a -> Bool Source #

Ord a => Ord (NonEmpty a) Source #

Since: base-4.9.0.0

Instance details

Defined in GHC.Base

type Rep1 NonEmpty Source #

Since: base-4.6.0.0

Instance details

Defined in GHC.Generics

type Rep (NonEmpty a) Source #

Since: base-4.6.0.0

Instance details

Defined in GHC.Generics

type Item (NonEmpty a) Source # 
Instance details

Defined in GHC.IsList

type Item (NonEmpty a) = a

($) :: (a -> b) -> a -> b infixr 0 Source #

($) is the function application operator.

Applying ($) to a function f and an argument x gives the same result as applying f to x directly. The definition is akin to this:

($) :: (a -> b) -> a -> b
($) f x = f x

On the face of it, this may appear pointless! But it's actually one of the most useful and important operators in Haskell.

The order of operations is very different between ($) and normal function application. Normal function application has precedence 10 - higher than any operator - and associates to the left. So these two definitions are equivalent:

expr = min 5 1 + 5
expr = ((min 5) 1) + 5

($) has precedence 0 (the lowest) and associates to the right, so these are equivalent:

expr = min 5 $ 1 + 5
expr = (min 5) (1 + 5)

Uses

A common use cases of ($) is to avoid parentheses in complex expressions.

For example, instead of using nested parentheses in the following Haskell function:

-- | Sum numbers in a string: strSum "100  5 -7" == 98
strSum :: String -> Int
strSum s = sum (mapMaybe readMaybe (words s))

we can deploy the function application operator:

-- | Sum numbers in a string: strSum "100  5 -7" == 98
strSum :: String -> Int
strSum s = sum $ mapMaybe readMaybe $ words s

($) is also used as a section (a partially applied operator), in order to indicate that we wish to apply some yet-unspecified function to a given value. For example, to apply the argument 5 to a list of functions:

applyFive :: [Int]
applyFive = map ($ 5) [(+1), (2^)]
>>> [6, 32]

Technical Remark (Representation Polymorphism)

($) is fully representation-polymorphic. This allows it to also be used with arguments of unlifted and even unboxed kinds, such as unboxed integers:

fastMod :: Int -> Int -> Int
fastMod (I# x) (I# m) = I# $ remInt# x m

class Semigroup a where Source #

The class of semigroups (types with an associative binary operation).

Instances should satisfy the following:

Associativity
x <> (y <> z) = (x <> y) <> z

You can alternatively define sconcat instead of (<>), in which case the laws are:

Unit
sconcat (pure x) = x
Multiplication
sconcat (join xss) = sconcat (fmap sconcat xss)

Since: base-4.9.0.0

Minimal complete definition

(<>) | sconcat

Methods

(<>) :: a -> a -> a infixr 6 Source #

An associative operation.

>>> [1,2,3] <> [4,5,6]
[1,2,3,4,5,6]

sconcat :: NonEmpty a -> a Source #

Reduce a non-empty list with <>

The default definition should be sufficient, but this can be overridden for efficiency.

>>> import Data.List.NonEmpty (NonEmpty (..))
>>> sconcat $ "Hello" :| [" ", "Haskell", "!"]
"Hello Haskell!"

stimes :: Integral b => b -> a -> a Source #

Repeat a value n times.

Given that this works on a Semigroup it is allowed to fail if you request 0 or fewer repetitions, and the default definition will do so.

By making this a member of the class, idempotent semigroups and monoids can upgrade this to execute in \(\mathcal{O}(1)\) by picking stimes = stimesIdempotent or stimes = stimesIdempotentMonoid respectively.

>>> stimes 4 [1]
[1,1,1,1]

Instances

Instances details
Semigroup ByteArray Source #

Since: base-4.17.0.0

Instance details

Defined in Data.Array.Byte

Semigroup All Source #

Since: base-4.9.0.0

Instance details

Defined in Data.Semigroup.Internal

Methods

(<>) :: All -> All -> All Source #

sconcat :: NonEmpty All -> All Source #

stimes :: Integral b => b -> All -> All Source #

Semigroup Any Source #

Since: base-4.9.0.0

Instance details

Defined in Data.Semigroup.Internal

Methods

(<>) :: Any -> Any -> Any Source #

sconcat :: NonEmpty Any -> Any Source #

stimes :: Integral b => b -> Any -> Any Source #

Semigroup Void Source #

Since: base-4.9.0.0

Instance details

Defined in GHC.Base

Semigroup Event Source #

Since: base-4.10.0.0

Instance details

Defined in GHC.Event.Internal.Types

Semigroup Lifetime Source #

Since: base-4.10.0.0

Instance details

Defined in GHC.Event.Internal.Types

Semigroup Ordering Source #

Since: base-4.9.0.0

Instance details

Defined in GHC.Base

Semigroup () Source #

Since: base-4.9.0.0

Instance details

Defined in GHC.Base

Methods

(<>) :: () -> () -> () Source #

sconcat :: NonEmpty () -> () Source #

stimes :: Integral b => b -> () -> () Source #

Bits a => Semigroup (And a) Source #

Since: base-4.16

Instance details

Defined in Data.Bits

Methods

(<>) :: And a -> And a -> And a Source #

sconcat :: NonEmpty (And a) -> And a Source #

stimes :: Integral b => b -> And a -> And a Source #

FiniteBits a => Semigroup (Iff a) Source #

This constraint is arguably too strong. However, as some types (such as Natural) have undefined complement, this is the only safe choice.

Since: base-4.16

Instance details

Defined in Data.Bits

Methods

(<>) :: Iff a -> Iff a -> Iff a Source #

sconcat :: NonEmpty (Iff a) -> Iff a Source #

stimes :: Integral b => b -> Iff a -> Iff a Source #

Bits a => Semigroup (Ior a) Source #

Since: base-4.16

Instance details

Defined in Data.Bits

Methods

(<>) :: Ior a -> Ior a -> Ior a Source #

sconcat :: NonEmpty (Ior a) -> Ior a Source #

stimes :: Integral b => b -> Ior a -> Ior a Source #

Bits a => Semigroup (Xor a) Source #

Since: base-4.16

Instance details

Defined in Data.Bits

Methods

(<>) :: Xor a -> Xor a -> Xor a Source #

sconcat :: NonEmpty (Xor a) -> Xor a Source #

stimes :: Integral b => b -> Xor a -> Xor a Source #

Semigroup (Comparison a) Source #

(<>) on comparisons combines results with (<>) @Ordering. Without newtypes this equals liftA2 (liftA2 (<>)).

(<>) :: Comparison a -> Comparison a -> Comparison a
Comparison cmp <> Comparison cmp' = Comparison a a' ->
  cmp a a' <> cmp a a'
Instance details

Defined in Data.Functor.Contravariant

Semigroup (Equivalence a) Source #

(<>) on equivalences uses logical conjunction (&&) on the results. Without newtypes this equals liftA2 (liftA2 (&&)).

(<>) :: Equivalence a -> Equivalence a -> Equivalence a
Equivalence equiv <> Equivalence equiv' = Equivalence a b ->
  equiv a b && equiv' a b
Instance details

Defined in Data.Functor.Contravariant

Semigroup (Predicate a) Source #

(<>) on predicates uses logical conjunction (&&) on the results. Without newtypes this equals liftA2 (&&).

(<>) :: Predicate a -> Predicate a -> Predicate a
Predicate pred <> Predicate pred' = Predicate a ->
  pred a && pred' a
Instance details

Defined in Data.Functor.Contravariant

Semigroup a => Semigroup (Identity a) Source #

Since: base-4.9.0.0

Instance details

Defined in Data.Functor.Identity

Semigroup (First a) Source #

Since: base-4.9.0.0

Instance details

Defined in Data.Monoid

Methods

(<>) :: First a -> First a -> First a Source #

sconcat :: NonEmpty (First a) -> First a Source #

stimes :: Integral b => b -> First a -> First a Source #

Semigroup (Last a) Source #

Since: base-4.9.0.0

Instance details

Defined in Data.Monoid

Methods

(<>) :: Last a -> Last a -> Last a Source #

sconcat :: NonEmpty (Last a) -> Last a Source #

stimes :: Integral b => b -> Last a -> Last a Source #

Semigroup a => Semigroup (Down a) Source #

Since: base-4.11.0.0

Instance details

Defined in Data.Ord

Methods

(<>) :: Down a -> Down a -> Down a Source #

sconcat :: NonEmpty (Down a) -> Down a Source #

stimes :: Integral b => b -> Down a -> Down a Source #

Semigroup (First a) Source #

Since: base-4.9.0.0

Instance details

Defined in Data.Semigroup

Methods

(<>) :: First a -> First a -> First a Source #

sconcat :: NonEmpty (First a) -> First a Source #

stimes :: Integral b => b -> First a -> First a Source #

Semigroup (Last a) Source #

Since: base-4.9.0.0

Instance details

Defined in Data.Semigroup

Methods

(<>) :: Last a -> Last a -> Last a Source #

sconcat :: NonEmpty (Last a) -> Last a Source #

stimes :: Integral b => b -> Last a -> Last a Source #

Ord a => Semigroup (Max a) Source #

Since: base-4.9.0.0

Instance details

Defined in Data.Semigroup

Methods

(<>) :: Max a -> Max a -> Max a Source #

sconcat :: NonEmpty (Max a) -> Max a Source #

stimes :: Integral b => b -> Max a -> Max a Source #

Ord a => Semigroup (Min a) Source #

Since: base-4.9.0.0

Instance details

Defined in Data.Semigroup

Methods

(<>) :: Min a -> Min a -> Min a Source #

sconcat :: NonEmpty (Min a) -> Min a Source #

stimes :: Integral b => b -> Min a -> Min a Source #

Monoid m => Semigroup (WrappedMonoid m) Source #

Since: base-4.9.0.0

Instance details

Defined in Data.Semigroup

Semigroup a => Semigroup (Dual a) Source #

Since: base-4.9.0.0

Instance details

Defined in Data.Semigroup.Internal

Methods

(<>) :: Dual a -> Dual a -> Dual a Source #

sconcat :: NonEmpty (Dual a) -> Dual a Source #

stimes :: Integral b => b -> Dual a -> Dual a Source #

Semigroup (Endo a) Source #

Since: base-4.9.0.0

Instance details

Defined in Data.Semigroup.Internal

Methods

(<>) :: Endo a -> Endo a -> Endo a Source #

sconcat :: NonEmpty (Endo a) -> Endo a Source #

stimes :: Integral b => b -> Endo a -> Endo a Source #

Num a => Semigroup (Product a) Source #

Since: base-4.9.0.0

Instance details

Defined in Data.Semigroup.Internal

Methods

(<>) :: Product a -> Product a -> Product a Source #

sconcat :: NonEmpty (Product a) -> Product a Source #

stimes :: Integral b => b -> Product a -> Product a Source #

Num a => Semigroup (Sum a) Source #

Since: base-4.9.0.0

Instance details

Defined in Data.Semigroup.Internal

Methods

(<>) :: Sum a -> Sum a -> Sum a Source #

sconcat :: NonEmpty (Sum a) -> Sum a Source #

stimes :: Integral b => b -> Sum a -> Sum a Source #

Semigroup (NonEmpty a) Source #

Since: base-4.9.0.0

Instance details

Defined in GHC.Base

Semigroup a => Semigroup (STM a) Source #

Since: base-4.17.0.0

Instance details

Defined in GHC.Conc.Sync

Methods

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

sconcat :: NonEmpty (STM a) -> STM a Source #

stimes :: Integral b => b -> STM a -> STM a Source #

(Generic a, Semigroup (Rep a ())) => Semigroup (Generically a) Source #

Since: base-4.17.0.0

Instance details

Defined in GHC.Generics

Semigroup p => Semigroup (Par1 p) Source #

Since: base-4.12.0.0

Instance details

Defined in GHC.Generics

Methods

(<>) :: Par1 p -> Par1 p -> Par1 p Source #

sconcat :: NonEmpty (Par1 p) -> Par1 p Source #

stimes :: Integral b => b -> Par1 p -> Par1 p Source #

Semigroup a => Semigroup (IO a) Source #

Since: base-4.10.0.0

Instance details

Defined in GHC.Base

Methods

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

sconcat :: NonEmpty (IO a) -> IO a Source #

stimes :: Integral b => b -> IO a -> IO a Source #

Semigroup a => Semigroup (Maybe a) Source #

Since: base-4.9.0.0

Instance details

Defined in GHC.Base

Methods

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

sconcat :: NonEmpty (Maybe a) -> Maybe a Source #

stimes :: Integral b => b -> Maybe a -> Maybe a Source #

Semigroup a => Semigroup (a) Source #

Since: base-4.15

Instance details

Defined in GHC.Base

Methods

(<>) :: (a) -> (a) -> (a) Source #

sconcat :: NonEmpty (a) -> (a) Source #

stimes :: Integral b => b -> (a) -> (a) Source #

Semigroup [a] Source #

Since: base-4.9.0.0

Instance details

Defined in GHC.Base

Methods

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

sconcat :: NonEmpty [a] -> [a] Source #

stimes :: Integral b => b -> [a] -> [a] Source #

Semigroup (Either a b) Source #

Since: base-4.9.0.0

Instance details

Defined in Data.Either

Methods

(<>) :: Either a b -> Either a b -> Either a b Source #

sconcat :: NonEmpty (Either a b) -> Either a b Source #

stimes :: Integral b0 => b0 -> Either a b -> Either a b Source #

Semigroup a => Semigroup (Op a b) Source #

(<>) @(Op a b) without newtypes is (<>) @(b->a) = liftA2 (<>). This lifts the Semigroup operation (<>) over the output of a.

(<>) :: Op a b -> Op a b -> Op a b
Op f <> Op g = Op a -> f a <> g a
Instance details

Defined in Data.Functor.Contravariant

Methods

(<>) :: Op a b -> Op a b -> Op a b Source #

sconcat :: NonEmpty (Op a b) -> Op a b Source #

stimes :: Integral b0 => b0 -> Op a b -> Op a b Source #

Semigroup (Proxy s) Source #

Since: base-4.9.0.0

Instance details

Defined in Data.Proxy

Methods

(<>) :: Proxy s -> Proxy s -> Proxy s Source #

sconcat :: NonEmpty (Proxy s) -> Proxy s Source #

stimes :: Integral b => b -> Proxy s -> Proxy s Source #

Semigroup (U1 p) Source #

Since: base-4.12.0.0

Instance details

Defined in GHC.Generics

Methods

(<>) :: U1 p -> U1 p -> U1 p Source #

sconcat :: NonEmpty (U1 p) -> U1 p Source #

stimes :: Integral b => b -> U1 p -> U1 p Source #

Semigroup (V1 p) Source #

Since: base-4.12.0.0

Instance details

Defined in GHC.Generics

Methods

(<>) :: V1 p -> V1 p -> V1 p Source #

sconcat :: NonEmpty (V1 p) -> V1 p Source #

stimes :: Integral b => b -> V1 p -> V1 p Source #

Semigroup a => Semigroup (ST s a) Source #

Since: base-4.11.0.0

Instance details

Defined in GHC.ST

Methods

(<>) :: ST s a -> ST s a -> ST s a Source #

sconcat :: NonEmpty (ST s a) -> ST s a Source #

stimes :: Integral b => b -> ST s a -> ST s a Source #

(Semigroup a, Semigroup b) => Semigroup (a, b) Source #

Since: base-4.9.0.0

Instance details

Defined in GHC.Base

Methods

(<>) :: (a, b) -> (a, b) -> (a, b) Source #

sconcat :: NonEmpty (a, b) -> (a, b) Source #

stimes :: Integral b0 => b0 -> (a, b) -> (a, b) Source #

Semigroup b => Semigroup (a -> b) Source #

Since: base-4.9.0.0

Instance details

Defined in GHC.Base

Methods

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

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

stimes :: Integral b0 => b0 -> (a -> b) -> a -> b Source #

Semigroup a => Semigroup (Const a b) Source #

Since: base-4.9.0.0

Instance details

Defined in Data.Functor.Const

Methods

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

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

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

(Applicative f, Semigroup a) => Semigroup (Ap f a) Source #

Since: base-4.12.0.0

Instance details

Defined in Data.Monoid

Methods

(<>) :: Ap f a -> Ap f a -> Ap f a Source #

sconcat :: NonEmpty (Ap f a) -> Ap f a Source #

stimes :: Integral b => b -> Ap f a -> Ap f a Source #

Alternative f => Semigroup (Alt f a) Source #

Since: base-4.9.0.0

Instance details

Defined in Data.Semigroup.Internal

Methods

(<>) :: Alt f a -> Alt f a -> Alt f a Source #

sconcat :: NonEmpty (Alt f a) -> Alt f a Source #

stimes :: Integral b => b -> Alt f a -> Alt f a Source #

Semigroup (f p) => Semigroup (Rec1 f p) Source #

Since: base-4.12.0.0

Instance details

Defined in GHC.Generics

Methods

(<>) :: Rec1 f p -> Rec1 f p -> Rec1 f p Source #

sconcat :: NonEmpty (Rec1 f p) -> Rec1 f p Source #

stimes :: Integral b => b -> Rec1 f p -> Rec1 f p Source #

(Semigroup a, Semigroup b, Semigroup c) => Semigroup (a, b, c) Source #

Since: base-4.9.0.0

Instance details

Defined in GHC.Base

Methods

(<>) :: (a, b, c) -> (a, b, c) -> (a, b, c) Source #

sconcat :: NonEmpty (a, b, c) -> (a, b, c) Source #

stimes :: Integral b0 => b0 -> (a, b, c) -> (a, b, c) Source #

(Semigroup (f a), Semigroup (g a)) => Semigroup (Product f g a) Source #

Since: base-4.16.0.0

Instance details

Defined in Data.Functor.Product

Methods

(<>) :: Product f g a -> Product f g a -> Product f g a Source #

sconcat :: NonEmpty (Product f g a) -> Product f g a Source #

stimes :: Integral b => b -> Product f g a -> Product f g a Source #

(Semigroup (f p), Semigroup (g p)) => Semigroup ((f :*: g) p) Source #

Since: base-4.12.0.0

Instance details

Defined in GHC.Generics

Methods

(<>) :: (f :*: g) p -> (f :*: g) p -> (f :*: g) p Source #

sconcat :: NonEmpty ((f :*: g) p) -> (f :*: g) p Source #

stimes :: Integral b => b -> (f :*: g) p -> (f :*: g) p Source #

Semigroup c => Semigroup (K1 i c p) Source #

Since: base-4.12.0.0

Instance details

Defined in GHC.Generics

Methods

(<>) :: K1 i c p -> K1 i c p -> K1 i c p Source #

sconcat :: NonEmpty (K1 i c p) -> K1 i c p Source #

stimes :: Integral b => b -> K1 i c p -> K1 i c p Source #

(Semigroup a, Semigroup b, Semigroup c, Semigroup d) => Semigroup (a, b, c, d) Source #

Since: base-4.9.0.0

Instance details

Defined in GHC.Base

Methods

(<>) :: (a, b, c, d) -> (a, b, c, d) -> (a, b, c, d) Source #

sconcat :: NonEmpty (a, b, c, d) -> (a, b, c, d) Source #

stimes :: Integral b0 => b0 -> (a, b, c, d) -> (a, b, c, d) Source #

Semigroup (f (g a)) => Semigroup (Compose f g a) Source #

Since: base-4.16.0.0

Instance details

Defined in Data.Functor.Compose

Methods

(<>) :: Compose f g a -> Compose f g a -> Compose f g a Source #

sconcat :: NonEmpty (Compose f g a) -> Compose f g a Source #

stimes :: Integral b => b -> Compose f g a -> Compose f g a Source #

Semigroup (f (g p)) => Semigroup ((f :.: g) p) Source #

Since: base-4.12.0.0

Instance details

Defined in GHC.Generics

Methods

(<>) :: (f :.: g) p -> (f :.: g) p -> (f :.: g) p Source #

sconcat :: NonEmpty ((f :.: g) p) -> (f :.: g) p Source #

stimes :: Integral b => b -> (f :.: g) p -> (f :.: g) p Source #

Semigroup (f p) => Semigroup (M1 i c f p) Source #

Since: base-4.12.0.0

Instance details

Defined in GHC.Generics

Methods

(<>) :: M1 i c f p -> M1 i c f p -> M1 i c f p Source #

sconcat :: NonEmpty (M1 i c f p) -> M1 i c f p Source #

stimes :: Integral b => b -> M1 i c f p -> M1 i c f p Source #

(Semigroup a, Semigroup b, Semigroup c, Semigroup d, Semigroup e) => Semigroup (a, b, c, d, e) Source #

Since: base-4.9.0.0

Instance details

Defined in GHC.Base

Methods

(<>) :: (a, b, c, d, e) -> (a, b, c, d, e) -> (a, b, c, d, e) Source #

sconcat :: NonEmpty (a, b, c, d, e) -> (a, b, c, d, e) Source #

stimes :: Integral b0 => b0 -> (a, b, c, d, e) -> (a, b, c, d, e) Source #

otherwise :: Bool Source #

otherwise is defined as the value True. It helps to make guards more readable. eg.

 f x | x < 0     = ...
     | otherwise = ...

ord :: Char -> Int Source #

The fromEnum method restricted to the type Char.

foldr :: (a -> b -> b) -> b -> [a] -> b Source #

foldr, applied to a binary operator, a starting value (typically the right-identity of the operator), and a list, reduces the list using the binary operator, from right to left:

foldr f z [x1, x2, ..., xn] == x1 `f` (x2 `f` ... (xn `f` z)...)

($!) :: (a -> b) -> a -> b infixr 0 Source #

Strict (call-by-value) application operator. It takes a function and an argument, evaluates the argument to weak head normal form (WHNF), then calls the function with that value.

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

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

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

const :: a -> b -> a Source #

const x y always evaluates to x, ignoring its second argument.

>>> const 42 "hello"
42
>>> map (const 42) [0..3]
[42,42,42,42]

(++) :: [a] -> [a] -> [a] infixr 5 Source #

Append two lists, i.e.,

[x1, ..., xm] ++ [y1, ..., yn] == [x1, ..., xm, y1, ..., yn]
[x1, ..., xm] ++ [y1, ...] == [x1, ..., xm, y1, ...]

If the first list is not finite, the result is the first list.

This function takes linear time in the number of elements of the first list. Thus it is better to associate repeated applications of (++) to the right (which is the default behaviour): xs ++ (ys ++ zs) or simply xs ++ ys ++ zs, but not (xs ++ ys) ++ zs. For the same reason concat = foldr (++) [] has linear performance, while foldl (++) [] is prone to quadratic slowdown.

map :: (a -> b) -> [a] -> [b] Source #

\(\mathcal{O}(n)\). map f xs is the list obtained by applying f to each element of xs, i.e.,

map f [x1, x2, ..., xn] == [f x1, f x2, ..., f xn]
map f [x1, x2, ...] == [f x1, f x2, ...]
>>> map (+1) [1, 2, 3]
[2,3,4]

data Void Source #

Uninhabited data type

Since: base-4.8.0.0

Instances

Instances details
Data Void Source #

Since: base-4.8.0.0

Instance details

Defined in Data.Data

Methods

gfoldl :: (forall d b. Data d => c (d -> b) -> d -> c b) -> (forall g. g -> c g) -> Void -> c Void Source #

gunfold :: (forall b r. Data b => c (b -> r) -> c r) -> (forall r. r -> c r) -> Constr -> c Void Source #

toConstr :: Void -> Constr Source #

dataTypeOf :: Void -> DataType Source #

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

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

gmapT :: (forall b. Data b => b -> b) -> Void -> Void Source #

gmapQl :: (r -> r' -> r) -> r -> (forall d. Data d => d -> r') -> Void -> r Source #

gmapQr :: forall r r'. (r' -> r -> r) -> r -> (forall d. Data d => d -> r') -> Void -> r Source #

gmapQ :: (forall d. Data d => d -> u) -> Void -> [u] Source #

gmapQi :: Int -> (forall d. Data d => d -> u) -> Void -> u Source #

gmapM :: Monad m => (forall d. Data d => d -> m d) -> Void -> m Void Source #

gmapMp :: MonadPlus m => (forall d. Data d => d -> m d) -> Void -> m Void Source #

gmapMo :: MonadPlus m => (forall d. Data d => d -> m d) -> Void -> m Void Source #

Semigroup Void Source #

Since: base-4.9.0.0

Instance details

Defined in GHC.Base

Exception Void Source #

Since: base-4.8.0.0

Instance details

Defined in GHC.Exception.Type

Generic Void Source # 
Instance details

Defined in GHC.Generics

Associated Types

type Rep Void

Since: base-4.8.0.0

Instance details

Defined in GHC.Generics

type Rep Void = D1 ('MetaData "Void" "GHC.Base" "base" 'False) (V1 :: Type -> Type)

Methods

from :: Void -> Rep Void x Source #

to :: Rep Void x -> Void Source #

Ix Void Source #

Since: base-4.8.0.0

Instance details

Defined in GHC.Ix

Read Void Source #

Reading a Void value is always a parse error, considering Void as a data type with no constructors.

Since: base-4.8.0.0

Instance details

Defined in GHC.Read

Show Void Source #

Since: base-4.8.0.0

Instance details

Defined in GHC.Show

Eq Void Source #

Since: base-4.8.0.0

Instance details

Defined in GHC.Base

Methods

(==) :: Void -> Void -> Bool Source #

(/=) :: Void -> Void -> Bool Source #

Ord Void Source #

Since: base-4.8.0.0

Instance details

Defined in GHC.Base

type Rep Void Source #

Since: base-4.8.0.0

Instance details

Defined in GHC.Generics

type Rep Void = D1 ('MetaData "Void" "GHC.Base" "base" 'False) (V1 :: Type -> Type)

absurd :: Void -> a Source #

Since Void values logically don't exist, this witnesses the logical reasoning tool of "ex falso quodlibet".

>>> let x :: Either Void Int; x = Right 5
>>> :{
case x of
    Right r -> r
    Left l  -> absurd l
:}
5

Since: base-4.8.0.0

vacuous :: Functor f => f Void -> f a Source #

If Void is uninhabited then any Functor that holds only values of type Void is holding no values. It is implemented in terms of fmap absurd.

Since: base-4.8.0.0

shiftL# :: Word# -> Int# -> Word# Source #

Shift the argument left by the specified number of bits (which must be non-negative).

shiftRL# :: Word# -> Int# -> Word# Source #

Shift the argument right by the specified number of bits (which must be non-negative). The RL means "right, logical" (as opposed to RA for arithmetic) (although an arithmetic right shift wouldn't make sense for Word#)

iShiftL# :: Int# -> Int# -> Int# Source #

Shift the argument left by the specified number of bits (which must be non-negative).

iShiftRA# :: Int# -> Int# -> Int# Source #

Shift the argument right (signed) by the specified number of bits (which must be non-negative). The RA means "right, arithmetic" (as opposed to RL for logical)

iShiftRL# :: Int# -> Int# -> Int# Source #

Shift the argument right (unsigned) by the specified number of bits (which must be non-negative). The RL means "right, logical" (as opposed to RA for arithmetic)

build :: (forall b. (a -> b -> b) -> b -> b) -> [a] Source #

A list producer that can be fused with foldr. This function is merely

   build g = g (:) []

but GHC's simplifier will transform an expression of the form foldr k z (build g), which may arise after inlining, to g k z, which avoids producing an intermediate list.

augment :: (forall b. (a -> b -> b) -> b -> b) -> [a] -> [a] Source #

A list producer that can be fused with foldr. This function is merely

   augment g xs = g (:) xs

but GHC's simplifier will transform an expression of the form foldr k z (augment g xs), which may arise after inlining, to g k (foldr k z xs), which avoids producing an intermediate list.

breakpoint :: a -> a Source #

until :: (a -> Bool) -> (a -> a) -> a -> a Source #

until p f yields the result of applying f until p holds.

asTypeOf :: a -> a -> a Source #

asTypeOf is a type-restricted version of const. It is usually used as an infix operator, and its typing forces its first argument (which is usually overloaded) to have the same type as the second.

eqString :: String -> String -> Bool Source #

This String equality predicate is used when desugaring pattern-matches against strings.

returnIO :: a -> IO a Source #

bindIO :: IO a -> (a -> IO b) -> IO b Source #

thenIO :: IO a -> IO b -> IO b Source #

mapFB :: (elt -> lst -> lst) -> (a -> elt) -> a -> lst -> lst Source #

data Opaque Source #

Constructors

O a 

getTag :: a -> Int# Source #

Returns the tag of a constructor application; this function is used by the deriving code for Eq, Ord and Enum.

quotInt :: Int -> Int -> Int Source #

Used to implement quot for the Integral typeclass. This performs integer division on its two parameters, truncated towards zero.

Example

Expand
>>> quotInt 10 2
5
>>> quot 10 2
5

remInt :: Int -> Int -> Int Source #

Used to implement rem for the Integral typeclass. This gives the remainder after integer division of its two parameters, satisfying

((x `quot` y) * y) + (x `rem` y) == x

Example

Expand
>>> remInt 3 2
1
>>> rem 3 2
1

divInt :: Int -> Int -> Int Source #

Used to implement div for the Integral typeclass. This performs integer division on its two parameters, truncated towards negative infinity.

Example

Expand
>>> 10 `divInt` 2
5
>>> 10 `div` 2
5

modInt :: Int -> Int -> Int Source #

Used to implement mod for the Integral typeclass. This performs the modulo operation, satisfying

((x `div` y) * y) + (x `mod` y) == x

Example

Expand
>>> 7 `modInt` 3
1
>>> 7 `mod` 3
1

quotRemInt :: Int -> Int -> (Int, Int) Source #

Used to implement quotRem for the Integral typeclass. This gives a tuple equivalent to

(quot x y, mod x y)

Example

Expand
>>> quotRemInt 10 2
(5,0)
>>> quotRem 10 2
(5,0)

divModInt :: Int -> Int -> (Int, Int) Source #

Used to implement divMod for the Integral typeclass. This gives a tuple equivalent to

(div x y, mod x y)

Example

Expand
>>> divModInt 10 2
(5,0)
>>> divMod 10 2
(5,0)

shift_mask :: Int# -> Int# -> Int# Source #

This function is used to implement branchless shifts. If the number of bits to shift is greater than or equal to the type size in bits, then the shift must return 0. Instead of doing a test, we use a mask obtained via this function which is branchless too.

shift_mask m b | b < m = 0xFF..FF | otherwise = 0

module GHC.Magic

data Word Source #

A Word is an unsigned integral type, with the same size as Int.

Constructors

W# Word# 

Instances

Instances details
Data Word Source #

Since: base-4.0.0.0

Instance details

Defined in Data.Data

Methods

gfoldl :: (forall d b. Data d => c (d -> b) -> d -> c b) -> (forall g. g -> c g) -> Word -> c Word Source #

gunfold :: (forall b r. Data b => c (b -> r) -> c r) -> (forall r. r -> c r) -> Constr -> c Word Source #

toConstr :: Word -> Constr Source #

dataTypeOf :: Word -> DataType Source #

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

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

gmapT :: (forall b. Data b => b -> b) -> Word -> Word Source #

gmapQl :: (r -> r' -> r) -> r -> (forall d. Data d => d -> r') -> Word -> r Source #

gmapQr :: forall r r'. (r' -> r -> r) -> r -> (forall d. Data d => d -> r') -> Word -> r Source #

gmapQ :: (forall d. Data d => d -> u) -> Word -> [u] Source #

gmapQi :: Int -> (forall d. Data d => d -> u) -> Word -> u Source #

gmapM :: Monad m => (forall d. Data d => d -> m d) -> Word -> m Word Source #

gmapMp :: MonadPlus m => (forall d. Data d => d -> m d) -> Word -> m Word Source #

gmapMo :: MonadPlus m => (forall d. Data d => d -> m d) -> Word -> m Word Source #

Storable Word Source #

Since: base-2.1

Instance details

Defined in Foreign.Storable

Bits Word Source #

Since: base-2.1

Instance details

Defined in GHC.Bits

FiniteBits Word Source #

Since: base-4.6.0.0

Instance details

Defined in GHC.Bits

Bounded Word Source #

Since: base-2.1

Instance details

Defined in GHC.Enum

Enum Word Source #

Since: base-2.1

Instance details

Defined in GHC.Enum

Ix Word Source #

Since: base-4.6.0.0

Instance details

Defined in GHC.Ix

Num Word Source #

Since: base-2.1

Instance details

Defined in GHC.Num

Read Word Source #

Since: base-4.5.0.0

Instance details

Defined in GHC.Read

Integral Word Source #

Since: base-2.1

Instance details

Defined in GHC.Real

Real Word Source #

Since: base-2.1

Instance details

Defined in GHC.Real

Show Word Source #

Since: base-2.1

Instance details

Defined in GHC.Show

PrintfArg Word Source #

Since: base-2.1

Instance details

Defined in Text.Printf

Eq Word 
Instance details

Defined in GHC.Classes

Methods

(==) :: Word -> Word -> Bool Source #

(/=) :: Word -> Word -> Bool Source #

Ord Word 
Instance details

Defined in GHC.Classes

Generic1 (URec Word :: k -> Type) Source # 
Instance details

Defined in GHC.Generics

Associated Types

type Rep1 (URec Word :: k -> Type)

Since: base-4.9.0.0

Instance details

Defined in GHC.Generics

type Rep1 (URec Word :: k -> Type) = D1 ('MetaData "URec" "GHC.Generics" "base" 'False) (C1 ('MetaCons "UWord" 'PrefixI 'True) (S1 ('MetaSel ('Just "uWord#") 'NoSourceUnpackedness 'NoSourceStrictness 'DecidedLazy) (UWord :: k -> Type)))

Methods

from1 :: forall (a :: k). URec Word a -> Rep1 (URec Word :: k -> Type) a Source #

to1 :: forall (a :: k). Rep1 (URec Word :: k -> Type) a -> URec Word a Source #

Foldable (UWord :: Type -> Type) Source #

Since: base-4.9.0.0

Instance details

Defined in Data.Foldable

Methods

fold :: Monoid m => UWord m -> m Source #

foldMap :: Monoid m => (a -> m) -> UWord a -> m Source #

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

foldr :: (a -> b -> b) -> b -> UWord a -> b Source #

foldr' :: (a -> b -> b) -> b -> UWord a -> b Source #

foldl :: (b -> a -> b) -> b -> UWord a -> b Source #

foldl' :: (b -> a -> b) -> b -> UWord a -> b Source #

foldr1 :: (a -> a -> a) -> UWord a -> a Source #

foldl1 :: (a -> a -> a) -> UWord a -> a Source #

toList :: UWord a -> [a] Source #

null :: UWord a -> Bool Source #

length :: UWord a -> Int Source #

elem :: Eq a => a -> UWord a -> Bool Source #

maximum :: Ord a => UWord a -> a Source #

minimum :: Ord a => UWord a -> a Source #

sum :: Num a => UWord a -> a Source #

product :: Num a => UWord a -> a Source #

Traversable (UWord :: Type -> Type) Source #

Since: base-4.9.0.0

Instance details

Defined in Data.Traversable

Methods

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

sequenceA :: Applicative f => UWord (f a) -> f (UWord a) Source #

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

sequence :: Monad m => UWord (m a) -> m (UWord a) Source #

Functor (URec Word :: Type -> Type) Source #

Since: base-4.9.0.0

Instance details

Defined in GHC.Generics

Methods

fmap :: (a -> b) -> URec Word a -> URec Word b Source #

(<$) :: a -> URec Word b -> URec Word a Source #

Generic (URec Word p) Source # 
Instance details

Defined in GHC.Generics

Associated Types

type Rep (URec Word p)

Since: base-4.9.0.0

Instance details

Defined in GHC.Generics

type Rep (URec Word p) = D1 ('MetaData "URec" "GHC.Generics" "base" 'False) (C1 ('MetaCons "UWord" 'PrefixI 'True) (S1 ('MetaSel ('Just "uWord#") 'NoSourceUnpackedness 'NoSourceStrictness 'DecidedLazy) (UWord :: Type -> Type)))

Methods

from :: URec Word p -> Rep (URec Word p) x Source #

to :: Rep (URec Word p) x -> URec Word p Source #

Show (URec Word p) Source #

Since: base-4.9.0.0

Instance details

Defined in GHC.Generics

Eq (URec Word p) Source #

Since: base-4.9.0.0

Instance details

Defined in GHC.Generics

Methods

(==) :: URec Word p -> URec Word p -> Bool Source #

(/=) :: URec Word p -> URec Word p -> Bool Source #

Ord (URec Word p) Source #

Since: base-4.9.0.0

Instance details

Defined in GHC.Generics

Methods

compare :: URec Word p -> URec Word p -> Ordering Source #

(<) :: URec Word p -> URec Word p -> Bool Source #

(<=) :: URec Word p -> URec Word p -> Bool Source #

(>) :: URec Word p -> URec Word p -> Bool Source #

(>=) :: URec Word p -> URec Word p -> Bool Source #

max :: URec Word p -> URec Word p -> URec Word p Source #

min :: URec Word p -> URec Word p -> URec Word p Source #

data URec Word (p :: k) Source #

Used for marking occurrences of Word#

Since: base-4.9.0.0

Instance details

Defined in GHC.Generics

data URec Word (p :: k) = UWord {}
type Rep1 (URec Word :: k -> Type) Source #

Since: base-4.9.0.0

Instance details

Defined in GHC.Generics

type Rep1 (URec Word :: k -> Type) = D1 ('MetaData "URec" "GHC.Generics" "base" 'False) (C1 ('MetaCons "UWord" 'PrefixI 'True) (S1 ('MetaSel ('Just "uWord#") 'NoSourceUnpackedness 'NoSourceStrictness 'DecidedLazy) (UWord :: k -> Type)))
type Rep (URec Word p) Source #

Since: base-4.9.0.0

Instance details

Defined in GHC.Generics

type Rep (URec Word p) = D1 ('MetaData "URec" "GHC.Generics" "base" 'False) (C1 ('MetaCons "UWord" 'PrefixI 'True) (S1 ('MetaSel ('Just "uWord#") 'NoSourceUnpackedness 'NoSourceStrictness 'DecidedLazy) (UWord :: Type -> Type)))

data Float Source #

Single-precision floating point numbers. It is desirable that this type be at least equal in range and precision to the IEEE single-precision type.

Constructors

F# Float# 

Instances

Instances details
Data Float Source #

Since: base-4.0.0.0

Instance details

Defined in Data.Data

Methods

gfoldl :: (forall d b. Data d => c (d -> b) -> d -> c b) -> (forall g. g -> c g) -> Float -> c Float Source #

gunfold :: (forall b r. Data b => c (b -> r) -> c r) -> (forall r. r -> c r) -> Constr -> c Float Source #

toConstr :: Float -> Constr Source #

dataTypeOf :: Float -> DataType Source #

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

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

gmapT :: (forall b. Data b => b -> b) -> Float -> Float Source #

gmapQl :: (r -> r' -> r) -> r -> (forall d. Data d => d -> r') -> Float -> r Source #

gmapQr :: forall r r'. (r' -> r -> r) -> r -> (forall d. Data d => d -> r') -> Float -> r Source #

gmapQ :: (forall d. Data d => d -> u) -> Float -> [u] Source #

gmapQi :: Int -> (forall d. Data d => d -> u) -> Float -> u Source #

gmapM :: Monad m => (forall d. Data d => d -> m d) -> Float -> m Float Source #

gmapMp :: MonadPlus m => (forall d. Data d => d -> m d) -> Float -> m Float Source #

gmapMo :: MonadPlus m => (forall d. Data d => d -> m d) -> Float -> m Float Source #

Storable Float Source #

Since: base-2.1

Instance details

Defined in Foreign.Storable

Enum Float Source #

fromEnum just truncates its argument, beware of all sorts of overflows.

List generators have extremely peculiar behavior, mandated by Haskell Report 2010:

>>> [0..1.5 :: Float]
[0.0,1.0,2.0]

Since: base-2.1

Instance details

Defined in GHC.Float

Floating Float Source #

Since: base-2.1

Instance details

Defined in GHC.Float

RealFloat Float Source #

Since: base-2.1

Instance details

Defined in GHC.Float

Num Float Source #

This instance implements IEEE 754 standard with all its usual pitfalls about NaN, infinities and negative zero. Neither addition nor multiplication are associative or distributive:

>>> (0.1 + 0.1 :: Float) + 0.5 == 0.1 + (0.1 + 0.5)
False
>>> (0.1 + 0.2 :: Float) * 0.9 == 0.1 * 0.9 + 0.2 * 0.9
False
>>> (0.1 * 0.1 :: Float) * 0.9 == 0.1 * (0.1 * 0.9)
False

Since: base-2.1

Instance details

Defined in GHC.Float

Read Float Source #

Since: base-2.1

Instance details

Defined in GHC.Read

Fractional Float Source #

This instance implements IEEE 754 standard with all its usual pitfalls about NaN, infinities and negative zero.

>>> 0 == (-0 :: Float)
True
>>> recip 0 == recip (-0 :: Float)
False
>>> map (/ 0) [-1, 0, 1 :: Float]
[-Infinity,NaN,Infinity]
>>> map (* 0) $ map (/ 0) [-1, 0, 1 :: Float]
[NaN,NaN,NaN]

Since: base-2.1

Instance details

Defined in GHC.Float

Real Float Source #

Beware that toRational generates garbage for non-finite arguments:

>>> toRational (1/0 :: Float)
340282366920938463463374607431768211456 % 1
>>> toRational (0/0 :: Float)
510423550381407695195061911147652317184 % 1

Since: base-2.1

Instance details

Defined in GHC.Float

RealFrac Float Source #

Beware that results for non-finite arguments are garbage:

>>> [ f x | f <- [round, floor, ceiling], x <- [-1/0, 0/0, 1/0 :: Float] ] :: [Int]
[0,0,0,0,0,0,0,0,0]
>>> map properFraction [-1/0, 0/0, 1/0] :: [(Int, Float)]
[(0,0.0),(0,0.0),(0,0.0)]

and get even more non-sensical if you ask for Integer instead of Int.

Since: base-2.1

Instance details

Defined in GHC.Float

Methods

properFraction :: Integral b => Float -> (b, Float) Source #

truncate :: Integral b => Float -> b Source #

round :: Integral b => Float -> b Source #

ceiling :: Integral b => Float -> b Source #

floor :: Integral b => Float -> b Source #

Show Float Source #

Since: base-2.1

Instance details

Defined in GHC.Float

PrintfArg Float Source #

Since: base-2.1

Instance details

Defined in Text.Printf

Eq Float

Note that due to the presence of NaN, Float's Eq instance does not satisfy reflexivity.

>>> 0/0 == (0/0 :: Float)
False

Also note that Float's Eq instance does not satisfy extensionality:

>>> 0 == (-0 :: Float)
True
>>> recip 0 == recip (-0 :: Float)
False
Instance details

Defined in GHC.Classes

Methods

(==) :: Float -> Float -> Bool Source #

(/=) :: Float -> Float -> Bool Source #

Ord Float

See instance Ord Double for discussion of deviations from IEEE 754 standard.

Instance details

Defined in GHC.Classes

Generic1 (URec Float :: k -> Type) Source # 
Instance details

Defined in GHC.Generics

Associated Types

type Rep1 (URec Float :: k -> Type)

Since: base-4.9.0.0

Instance details

Defined in GHC.Generics

type Rep1 (URec Float :: k -> Type) = D1 ('MetaData "URec" "GHC.Generics" "base" 'False) (C1 ('MetaCons "UFloat" 'PrefixI 'True) (S1 ('MetaSel ('Just "uFloat#") 'NoSourceUnpackedness 'NoSourceStrictness 'DecidedLazy) (UFloat :: k -> Type)))

Methods

from1 :: forall (a :: k). URec Float a -> Rep1 (URec Float :: k -> Type) a Source #

to1 :: forall (a :: k). Rep1 (URec Float :: k -> Type) a -> URec Float a Source #

Foldable (UFloat :: Type -> Type) Source #

Since: base-4.9.0.0

Instance details

Defined in Data.Foldable

Methods

fold :: Monoid m => UFloat m -> m Source #

foldMap :: Monoid m => (a -> m) -> UFloat a -> m Source #

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

foldr :: (a -> b -> b) -> b -> UFloat a -> b Source #

foldr' :: (a -> b -> b) -> b -> UFloat a -> b Source #

foldl :: (b -> a -> b) -> b -> UFloat a -> b Source #

foldl' :: (b -> a -> b) -> b -> UFloat a -> b Source #

foldr1 :: (a -> a -> a) -> UFloat a -> a Source #

foldl1 :: (a -> a -> a) -> UFloat a -> a Source #

toList :: UFloat a -> [a] Source #

null :: UFloat a -> Bool Source #

length :: UFloat a -> Int Source #

elem :: Eq a => a -> UFloat a -> Bool Source #

maximum :: Ord a => UFloat a -> a Source #

minimum :: Ord a => UFloat a -> a Source #

sum :: Num a => UFloat a -> a Source #

product :: Num a => UFloat a -> a Source #

Traversable (UFloat :: Type -> Type) Source #

Since: base-4.9.0.0

Instance details

Defined in Data.Traversable

Methods

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

sequenceA :: Applicative f => UFloat (f a) -> f (UFloat a) Source #

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

sequence :: Monad m => UFloat (m a) -> m (UFloat a) Source #

Functor (URec Float :: Type -> Type) Source #

Since: base-4.9.0.0

Instance details

Defined in GHC.Generics

Methods

fmap :: (a -> b) -> URec Float a -> URec Float b Source #

(<$) :: a -> URec Float b -> URec Float a Source #

Generic (URec Float p) Source # 
Instance details

Defined in GHC.Generics

Associated Types

type Rep (URec Float p) 
Instance details

Defined in GHC.Generics

type Rep (URec Float p) = D1 ('MetaData "URec" "GHC.Generics" "base" 'False) (C1 ('MetaCons "UFloat" 'PrefixI 'True) (S1 ('MetaSel ('Just "uFloat#") 'NoSourceUnpackedness 'NoSourceStrictness 'DecidedLazy) (UFloat :: Type -> Type)))

Methods

from :: URec Float p -> Rep (URec Float p) x Source #

to :: Rep (URec Float p) x -> URec Float p Source #

Show (URec Float p) Source # 
Instance details

Defined in GHC.Generics

Eq (URec Float p) Source # 
Instance details

Defined in GHC.Generics

Methods

(==) :: URec Float p -> URec Float p -> Bool Source #

(/=) :: URec Float p -> URec Float p -> Bool Source #

Ord (URec Float p) Source # 
Instance details

Defined in GHC.Generics

data URec Float (p :: k) Source #

Used for marking occurrences of Float#

Since: base-4.9.0.0

Instance details

Defined in GHC.Generics

data URec Float (p :: k) = UFloat {}
type Rep1 (URec Float :: k -> Type) Source #

Since: base-4.9.0.0

Instance details

Defined in GHC.Generics

type Rep1 (URec Float :: k -> Type) = D1 ('MetaData "URec" "GHC.Generics" "base" 'False) (C1 ('MetaCons "UFloat" 'PrefixI 'True) (S1 ('MetaSel ('Just "uFloat#") 'NoSourceUnpackedness 'NoSourceStrictness 'DecidedLazy) (UFloat :: k -> Type)))
type Rep (URec Float p) Source # 
Instance details

Defined in GHC.Generics

type Rep (URec Float p) = D1 ('MetaData "URec" "GHC.Generics" "base" 'False) (C1 ('MetaCons "UFloat" 'PrefixI 'True) (S1 ('MetaSel ('Just "uFloat#") 'NoSourceUnpackedness 'NoSourceStrictness 'DecidedLazy) (UFloat :: Type -> Type)))

data Int Source #

A fixed-precision integer type with at least the range [-2^29 .. 2^29-1]. The exact range for a given implementation can be determined by using minBound and maxBound from the Bounded class.

Constructors

I# Int# 

Instances

Instances details
Data Int Source #

Since: base-4.0.0.0

Instance details

Defined in Data.Data

Methods

gfoldl :: (forall d b. Data d => c (d -> b) -> d -> c b) -> (forall g. g -> c g) -> Int -> c Int Source #

gunfold :: (forall b r. Data b => c (b -> r) -> c r) -> (forall r. r -> c r) -> Constr -> c Int Source #

toConstr :: Int -> Constr Source #

dataTypeOf :: Int -> DataType Source #

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

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

gmapT :: (forall b. Data b => b -> b) -> Int -> Int Source #

gmapQl :: (r -> r' -> r) -> r -> (forall d. Data d => d -> r') -> Int -> r Source #

gmapQr :: forall r r'. (r' -> r -> r) -> r -> (forall d. Data d => d -> r') -> Int -> r Source #

gmapQ :: (forall d. Data d => d -> u) -> Int -> [u] Source #

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

gmapM :: Monad m => (forall d. Data d => d -> m d) -> Int -> m Int Source #

gmapMp :: MonadPlus m => (forall d. Data d => d -> m d) -> Int -> m Int Source #

gmapMo :: MonadPlus m => (forall d. Data d => d -> m d) -> Int -> m Int Source #

Storable Int Source #

Since: base-2.1

Instance details

Defined in Foreign.Storable

Bits Int Source #

Since: base-2.1

Instance details

Defined in GHC.Bits

FiniteBits Int Source #

Since: base-4.6.0.0

Instance details

Defined in GHC.Bits

Bounded Int Source #

Since: base-2.1

Instance details

Defined in GHC.Enum

Enum Int Source #

Since: base-2.1

Instance details

Defined in GHC.Enum

Ix Int Source #

Since: base-2.1

Instance details

Defined in GHC.Ix

Num Int Source #

Since: base-2.1

Instance details

Defined in GHC.Num

Read Int Source #

Since: base-2.1

Instance details

Defined in GHC.Read

Integral Int Source #

Since: base-2.0.1

Instance details

Defined in GHC.Real

Methods

quot :: Int -> Int -> Int Source #

rem :: Int -> Int -> Int Source #

div :: Int -> Int -> Int Source #

mod :: Int -> Int -> Int Source #

quotRem :: Int -> Int -> (Int, Int) Source #

divMod :: Int -> Int -> (Int, Int) Source #

toInteger :: Int -> Integer Source #

Real Int Source #

Since: base-2.0.1

Instance details

Defined in GHC.Real

Show Int Source #

Since: base-2.1

Instance details

Defined in GHC.Show

PrintfArg Int Source #

Since: base-2.1

Instance details

Defined in Text.Printf

Eq Int 
Instance details

Defined in GHC.Classes

Methods

(==) :: Int -> Int -> Bool Source #

(/=) :: Int -> Int -> Bool Source #

Ord Int 
Instance details

Defined in GHC.Classes

Methods

compare :: Int -> Int -> Ordering Source #

(<) :: Int -> Int -> Bool Source #

(<=) :: Int -> Int -> Bool Source #

(>) :: Int -> Int -> Bool Source #

(>=) :: Int -> Int -> Bool Source #

max :: Int -> Int -> Int Source #

min :: Int -> Int -> Int Source #

Generic1 (URec Int :: k -> Type) Source # 
Instance details

Defined in GHC.Generics

Associated Types

type Rep1 (URec Int :: k -> Type)

Since: base-4.9.0.0

Instance details

Defined in GHC.Generics

type Rep1 (URec Int :: k -> Type) = D1 ('MetaData "URec" "GHC.Generics" "base" 'False) (C1 ('MetaCons "UInt" 'PrefixI 'True) (S1 ('MetaSel ('Just "uInt#") 'NoSourceUnpackedness 'NoSourceStrictness 'DecidedLazy) (UInt :: k -> Type)))

Methods

from1 :: forall (a :: k). URec Int a -> Rep1 (URec Int :: k -> Type) a Source #

to1 :: forall (a :: k). Rep1 (URec Int :: k -> Type) a -> URec Int a Source #

Foldable (UInt :: Type -> Type) Source #

Since: base-4.9.0.0

Instance details

Defined in Data.Foldable

Methods

fold :: Monoid m => UInt m -> m Source #

foldMap :: Monoid m => (a -> m) -> UInt a -> m Source #

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

foldr :: (a -> b -> b) -> b -> UInt a -> b Source #

foldr' :: (a -> b -> b) -> b -> UInt a -> b Source #

foldl :: (b -> a -> b) -> b -> UInt a -> b Source #

foldl' :: (b -> a -> b) -> b -> UInt a -> b Source #

foldr1 :: (a -> a -> a) -> UInt a -> a Source #

foldl1 :: (a -> a -> a) -> UInt a -> a Source #

toList :: UInt a -> [a] Source #

null :: UInt a -> Bool Source #

length :: UInt a -> Int Source #

elem :: Eq a => a -> UInt a -> Bool Source #

maximum :: Ord a => UInt a -> a Source #

minimum :: Ord a => UInt a -> a Source #

sum :: Num a => UInt a -> a Source #

product :: Num a => UInt a -> a Source #

Traversable (UInt :: Type -> Type) Source #

Since: base-4.9.0.0

Instance details

Defined in Data.Traversable

Methods

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

sequenceA :: Applicative f => UInt (f a) -> f (UInt a) Source #

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

sequence :: Monad m => UInt (m a) -> m (UInt a) Source #

Functor (URec Int :: Type -> Type) Source #

Since: base-4.9.0.0

Instance details

Defined in GHC.Generics

Methods

fmap :: (a -> b) -> URec Int a -> URec Int b Source #

(<$) :: a -> URec Int b -> URec Int a Source #

Generic (URec Int p) Source # 
Instance details

Defined in GHC.Generics

Associated Types

type Rep (URec Int p)

Since: base-4.9.0.0

Instance details

Defined in GHC.Generics

type Rep (URec Int p) = D1 ('MetaData "URec" "GHC.Generics" "base" 'False) (C1 ('MetaCons "UInt" 'PrefixI 'True) (S1 ('MetaSel ('Just "uInt#") 'NoSourceUnpackedness 'NoSourceStrictness 'DecidedLazy) (UInt :: Type -> Type)))

Methods

from :: URec Int p -> Rep (URec Int p) x Source #

to :: Rep (URec Int p) x -> URec Int p Source #

Show (URec Int p) Source #

Since: base-4.9.0.0

Instance details

Defined in GHC.Generics

Eq (URec Int p) Source #

Since: base-4.9.0.0

Instance details

Defined in GHC.Generics

Methods

(==) :: URec Int p -> URec Int p -> Bool Source #

(/=) :: URec Int p -> URec Int p -> Bool Source #

Ord (URec Int p) Source #

Since: base-4.9.0.0

Instance details

Defined in GHC.Generics

Methods

compare :: URec Int p -> URec Int p -> Ordering Source #

(<) :: URec Int p -> URec Int p -> Bool Source #

(<=) :: URec Int p -> URec Int p -> Bool Source #

(>) :: URec Int p -> URec Int p -> Bool Source #

(>=) :: URec Int p -> URec Int p -> Bool Source #

max :: URec Int p -> URec Int p -> URec Int p Source #

min :: URec Int p -> URec Int p -> URec Int p Source #

data URec Int (p :: k) Source #

Used for marking occurrences of Int#

Since: base-4.9.0.0

Instance details

Defined in GHC.Generics

data URec Int (p :: k) = UInt {}
type Rep1 (URec Int :: k -> Type) Source #

Since: base-4.9.0.0

Instance details

Defined in GHC.Generics

type Rep1 (URec Int :: k -> Type) = D1 ('MetaData "URec" "GHC.Generics" "base" 'False) (C1 ('MetaCons "UInt" 'PrefixI 'True) (S1 ('MetaSel ('Just "uInt#") 'NoSourceUnpackedness 'NoSourceStrictness 'DecidedLazy) (UInt :: k -> Type)))
type Rep (URec Int p) Source #

Since: base-4.9.0.0

Instance details

Defined in GHC.Generics

type Rep (URec Int p) = D1 ('MetaData "URec" "GHC.Generics" "base" 'False) (C1 ('MetaCons "UInt" 'PrefixI 'True) (S1 ('MetaSel ('Just "uInt#") 'NoSourceUnpackedness 'NoSourceStrictness 'DecidedLazy) (UInt :: Type -> Type)))

data TYPE (a :: RuntimeRep) Source #

Instances

Instances details
Category Op Source # 
Instance details

Defined in Data.Functor.Contravariant

Methods

id :: Op a a Source #

(.) :: Op b c -> Op a b -> Op a c Source #

HasResolution E0 Source #

Since: base-4.1.0.0

Instance details

Defined in Data.Fixed

Methods

resolution :: p E0 -> Integer Source #

HasResolution E1 Source #

Since: base-4.1.0.0

Instance details

Defined in Data.Fixed

Methods

resolution :: p E1 -> Integer Source #

HasResolution E12 Source #

Since: base-2.1

Instance details

Defined in Data.Fixed

Methods

resolution :: p E12 -> Integer Source #

HasResolution E2 Source #

Since: base-4.1.0.0

Instance details

Defined in Data.Fixed

Methods

resolution :: p E2 -> Integer Source #

HasResolution E3 Source #

Since: base-4.1.0.0

Instance details

Defined in Data.Fixed

Methods

resolution :: p E3 -> Integer Source #

HasResolution E6 Source #

Since: base-2.1

Instance details

Defined in Data.Fixed

Methods

resolution :: p E6 -> Integer Source #

HasResolution E9 Source #

Since: base-4.1.0.0

Instance details

Defined in Data.Fixed

Methods

resolution :: p E9 -> Integer Source #

Generic1 ZipList Source # 
Instance details

Defined in Control.Applicative

Associated Types

type Rep1 ZipList

Since: base-4.7.0.0

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 List)))
Generic1 Complex Source # 
Instance details

Defined in Data.Complex

Associated Types

type Rep1 Complex

Since: base-4.9.0.0

Instance details

Defined in Data.Complex

Generic1 Identity Source # 
Instance details

Defined in Data.Functor.Identity

Associated Types

type Rep1 Identity

Since: base-4.8.0.0

Instance details

Defined in Data.Functor.Identity

type Rep1 Identity = D1 ('MetaData "Identity" "Data.Functor.Identity" "base" 'True) (C1 ('MetaCons "Identity" 'PrefixI 'True) (S1 ('MetaSel ('Just "runIdentity") 'NoSourceUnpackedness 'NoSourceStrictness 'DecidedLazy) Par1))
Generic1 First Source # 
Instance details

Defined in Data.Monoid

Associated Types

type Rep1 First

Since: base-4.7.0.0

Instance details

Defined in Data.Monoid

type Rep1 First = D1 ('MetaData "First" "Data.Monoid" "base" 'True) (C1 ('MetaCons "First" 'PrefixI 'True) (S1 ('MetaSel ('Just "getFirst") 'NoSourceUnpackedness 'NoSourceStrictness 'DecidedLazy) (Rec1 Maybe)))

Methods

from1 :: First a -> Rep1 First a Source #

to1 :: Rep1 First a -> First a Source #

Generic1 Last Source # 
Instance details

Defined in Data.Monoid

Associated Types

type Rep1 Last

Since: base-4.7.0.0

Instance details

Defined in Data.Monoid

type Rep1 Last = D1 ('MetaData "Last" "Data.Monoid" "base" 'True) (C1 ('MetaCons "Last" 'PrefixI 'True) (S1 ('MetaSel ('Just "getLast") 'NoSourceUnpackedness 'NoSourceStrictness 'DecidedLazy) (Rec1 Maybe)))

Methods

from1 :: Last a -> Rep1 Last a Source #

to1 :: Rep1 Last a -> Last a Source #

Generic1 Down Source # 
Instance details

Defined in GHC.Generics

Associated Types

type Rep1 Down

Since: base-4.12.0.0

Instance details

Defined in GHC.Generics

type Rep1 Down = D1 ('MetaData "Down" "Data.Ord" "base" 'True) (C1 ('MetaCons "Down" 'PrefixI 'True) (S1 ('MetaSel ('Just "getDown") 'NoSourceUnpackedness 'NoSourceStrictness 'DecidedLazy) Par1))

Methods

from1 :: Down a -> Rep1 Down a Source #

to1 :: Rep1 Down a -> Down a Source #

Generic1 First Source # 
Instance details

Defined in Data.Semigroup

Associated Types

type Rep1 First

Since: base-4.9.0.0

Instance details

Defined in Data.Semigroup

type Rep1 First = D1 ('MetaData "First" "Data.Semigroup" "base" 'True) (C1 ('MetaCons "First" 'PrefixI 'True) (S1 ('MetaSel ('Just "getFirst") 'NoSourceUnpackedness 'NoSourceStrictness 'DecidedLazy) Par1))

Methods

from1 :: First a -> Rep1 First a Source #

to1 :: Rep1 First a -> First a Source #

Generic1 Last Source # 
Instance details

Defined in Data.Semigroup

Associated Types

type Rep1 Last

Since: base-4.9.0.0

Instance details

Defined in Data.Semigroup

type Rep1 Last = D1 ('MetaData "Last" "Data.Semigroup" "base" 'True) (C1 ('MetaCons "Last" 'PrefixI 'True) (S1 ('MetaSel ('Just "getLast") 'NoSourceUnpackedness 'NoSourceStrictness 'DecidedLazy) Par1))

Methods

from1 :: Last a -> Rep1 Last a Source #

to1 :: Rep1 Last a -> Last a Source #

Generic1 Max Source # 
Instance details

Defined in Data.Semigroup

Associated Types

type Rep1 Max

Since: base-4.9.0.0

Instance details

Defined in Data.Semigroup

type Rep1 Max = D1 ('MetaData "Max" "Data.Semigroup" "base" 'True) (C1 ('MetaCons "Max" 'PrefixI 'True) (S1 ('MetaSel ('Just "getMax") 'NoSourceUnpackedness 'NoSourceStrictness 'DecidedLazy) Par1))

Methods

from1 :: Max a -> Rep1 Max a Source #

to1 :: Rep1 Max a -> Max a Source #

Generic1 Min Source # 
Instance details

Defined in Data.Semigroup

Associated Types

type Rep1 Min

Since: base-4.9.0.0

Instance details

Defined in Data.Semigroup

type Rep1 Min = D1 ('MetaData "Min" "Data.Semigroup" "base" 'True) (C1 ('MetaCons "Min" 'PrefixI 'True) (S1 ('MetaSel ('Just "getMin") 'NoSourceUnpackedness 'NoSourceStrictness 'DecidedLazy) Par1))

Methods

from1 :: Min a -> Rep1 Min a Source #

to1 :: Rep1 Min a -> Min a Source #

Generic1 WrappedMonoid Source # 
Instance details

Defined in Data.Semigroup

Associated Types

type Rep1 WrappedMonoid

Since: base-4.9.0.0

Instance details

Defined in Data.Semigroup

type Rep1 WrappedMonoid = D1 ('MetaData "WrappedMonoid" "Data.Semigroup" "base" 'True) (C1 ('MetaCons "WrapMonoid" 'PrefixI 'True) (S1 ('MetaSel ('Just "unwrapMonoid") 'NoSourceUnpackedness 'NoSourceStrictness 'DecidedLazy) Par1))
Generic1 Dual Source # 
Instance details

Defined in Data.Semigroup.Internal

Associated Types

type Rep1 Dual

Since: base-4.7.0.0

Instance details

Defined in Data.Semigroup.Internal

type Rep1 Dual = D1 ('MetaData "Dual" "Data.Semigroup.Internal" "base" 'True) (C1 ('MetaCons "Dual" 'PrefixI 'True) (S1 ('MetaSel ('Just "getDual") 'NoSourceUnpackedness 'NoSourceStrictness 'DecidedLazy) Par1))

Methods

from1 :: Dual a -> Rep1 Dual a Source #

to1 :: Rep1 Dual a -> Dual a Source #

Generic1 Product Source # 
Instance details

Defined in Data.Semigroup.Internal

Associated Types

type Rep1 Product

Since: base-4.7.0.0

Instance details

Defined in Data.Semigroup.Internal

type Rep1 Product = D1 ('MetaData "Product" "Data.Semigroup.Internal" "base" 'True) (C1 ('MetaCons "Product" 'PrefixI 'True) (S1 ('MetaSel ('Just "getProduct") 'NoSourceUnpackedness 'NoSourceStrictness 'DecidedLazy) Par1))
Generic1 Sum Source # 
Instance details

Defined in Data.Semigroup.Internal

Associated Types

type Rep1 Sum

Since: base-4.7.0.0

Instance details

Defined in Data.Semigroup.Internal

type Rep1 Sum = D1 ('MetaData "Sum" "Data.Semigroup.Internal" "base" 'True) (C1 ('MetaCons "Sum" 'PrefixI 'True) (S1 ('MetaSel ('Just "getSum") 'NoSourceUnpackedness 'NoSourceStrictness 'DecidedLazy) Par1))

Methods

from1 :: Sum a -> Rep1 Sum a Source #

to1 :: Rep1 Sum a -> Sum a Source #

Generic1 NonEmpty Source # 
Instance details

Defined in GHC.Generics

Associated Types

type Rep1 NonEmpty

Since: base-4.6.0.0

Instance details

Defined in GHC.Generics

Generic1 Par1 Source # 
Instance details

Defined in GHC.Generics

Associated Types

type Rep1 Par1

Since: base-4.9.0.0

Instance details

Defined in GHC.Generics

type Rep1 Par1 = D1 ('MetaData "Par1" "GHC.Generics" "base" 'True) (C1 ('MetaCons "Par1" 'PrefixI 'True) (S1 ('MetaSel ('Just "unPar1") 'NoSourceUnpackedness 'NoSourceStrictness 'DecidedLazy) Par1))

Methods

from1 :: Par1 a -> Rep1 Par1 a Source #

to1 :: Rep1 Par1 a -> Par1 a Source #

Generic1 Maybe Source # 
Instance details

Defined in GHC.Generics

Associated Types

type Rep1 Maybe

Since: base-4.6.0.0

Instance details

Defined in GHC.Generics

type Rep1 Maybe = D1 ('MetaData "Maybe" "GHC.Maybe" "base" 'False) (C1 ('MetaCons "Nothing" 'PrefixI 'False) (U1 :: Type -> Type) :+: C1 ('MetaCons "Just" 'PrefixI 'False) (S1 ('MetaSel ('Nothing :: Maybe Symbol) 'NoSourceUnpackedness 'NoSourceStrictness 'DecidedLazy) Par1))

Methods

from1 :: Maybe a -> Rep1 Maybe a Source #

to1 :: Rep1 Maybe a -> Maybe a Source #

Generic1 Solo Source # 
Instance details

Defined in GHC.Generics

Associated Types

type Rep1 Solo

Since: base-4.15

Instance details

Defined in GHC.Generics

type Rep1 Solo = D1 ('MetaData "Solo" "GHC.Tuple.Prim" "ghc-prim" 'False) (C1 ('MetaCons "MkSolo" 'PrefixI 'False) (S1 ('MetaSel ('Nothing :: Maybe Symbol) 'NoSourceUnpackedness 'NoSourceStrictness 'DecidedLazy) Par1))

Methods

from1 :: (a) -> Rep1 Solo a Source #

to1 :: Rep1 Solo a -> (a) Source #

Generic1 List Source # 
Instance details

Defined in GHC.Generics

Associated Types

type Rep1 List

Since: base-4.6.0.0

Instance details

Defined in GHC.Generics

Methods

from1 :: [a] -> Rep1 List a Source #

to1 :: Rep1 List a -> [a] Source #

Monad m => Category (Kleisli m :: Type -> Type -> Type) Source #

Since: base-3.0

Instance details

Defined in Control.Arrow

Methods

id :: Kleisli m a a Source #

(.) :: Kleisli m b c -> Kleisli m a b -> Kleisli m a c Source #

Generic1 (WrappedMonad m :: Type -> Type) Source # 
Instance details

Defined in Control.Applicative

Associated Types

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

Since: base-4.7.0.0

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)))
Generic1 (Either a :: Type -> Type) Source # 
Instance details

Defined in GHC.Generics

Associated Types

type Rep1 (Either a :: Type -> Type)

Since: base-4.6.0.0

Instance details

Defined in GHC.Generics

Methods

from1 :: Either a a0 -> Rep1 (Either a) a0 Source #

to1 :: Rep1 (Either a) a0 -> Either a a0 Source #

Generic1 (Arg a :: Type -> Type) Source # 
Instance details

Defined in Data.Semigroup

Associated Types

type Rep1 (Arg a :: Type -> Type)

Since: base-4.9.0.0

Instance details

Defined in Data.Semigroup

Methods

from1 :: Arg a a0 -> Rep1 (Arg a) a0 Source #

to1 :: Rep1 (Arg a) a0 -> Arg a a0 Source #

Generic1 (Tuple2 a :: Type -> Type) Source # 
Instance details

Defined in GHC.Generics

Associated Types

type Rep1 (Tuple2 a :: Type -> Type)

Since: base-4.6.0.0

Instance details

Defined in GHC.Generics

Methods

from1 :: (a, a0) -> Rep1 (Tuple2 a) a0 Source #

to1 :: Rep1 (Tuple2 a) a0 -> (a, a0) Source #

Category (->) Source #

Since: base-3.0

Instance details

Defined in Control.Category

Methods

id :: a -> a Source #

(.) :: (b -> c) -> (a -> b) -> a -> c Source #

Generic1 (WrappedArrow a b :: Type -> Type) Source # 
Instance details

Defined in Control.Applicative

Associated Types

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

Since: base-4.7.0.0

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))))

Methods

from1 :: WrappedArrow a b a0 -> Rep1 (WrappedArrow a b) a0 Source #

to1 :: Rep1 (WrappedArrow a b) a0 -> WrappedArrow a b a0 Source #

Generic1 (Kleisli m a :: Type -> Type) Source # 
Instance details

Defined in Control.Arrow

Associated Types

type Rep1 (Kleisli m a :: Type -> Type)

Since: base-4.14.0.0

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) ((FUN 'Many a :: Type -> Type) :.: Rec1 m)))

Methods

from1 :: Kleisli m a a0 -> Rep1 (Kleisli m a) a0 Source #

to1 :: Rep1 (Kleisli m a) a0 -> Kleisli m a a0 Source #

Generic1 (Tuple3 a b :: Type -> Type) Source # 
Instance details

Defined in GHC.Generics

Associated Types

type Rep1 (Tuple3 a b :: Type -> Type)

Since: base-4.6.0.0

Instance details

Defined in GHC.Generics

Methods

from1 :: (a, b, a0) -> Rep1 (Tuple3 a b) a0 Source #

to1 :: Rep1 (Tuple3 a b) a0 -> (a, b, a0) Source #

Generic1 (Tuple4 a b c :: Type -> Type) Source # 
Instance details

Defined in GHC.Generics

Associated Types

type Rep1 (Tuple4 a b c :: Type -> Type)

Since: base-4.6.0.0

Instance details

Defined in GHC.Generics

Methods

from1 :: (a, b, c, a0) -> Rep1 (Tuple4 a b c) a0 Source #

to1 :: Rep1 (Tuple4 a b c) a0 -> (a, b, c, a0) Source #

Generic1 (Tuple5 a b c d :: Type -> Type) Source # 
Instance details

Defined in GHC.Generics

Methods

from1 :: (a, b, c, d, a0) -> Rep1 (Tuple5 a b c d) a0 Source #

to1 :: Rep1 (Tuple5 a b c d) a0 -> (a, b, c, d, a0) Source #

Functor f => Generic1 (Compose f g :: k -> Type) Source # 
Instance details

Defined in Data.Functor.Compose

Associated Types

type Rep1 (Compose f g :: k -> Type)

Since: base-4.9.0.0

Instance details

Defined in Data.Functor.Compose

type Rep1 (Compose f g :: k -> Type) = D1 ('MetaData "Compose" "Data.Functor.Compose" "base" 'True) (C1 ('MetaCons "Compose" 'PrefixI 'True) (S1 ('MetaSel ('Just "getCompose") 'NoSourceUnpackedness 'NoSourceStrictness 'DecidedLazy) (f :.: Rec1 g)))

Methods

from1 :: forall (a :: k). Compose f g a -> Rep1 (Compose f g) a Source #

to1 :: forall (a :: k). Rep1 (Compose f g) a -> Compose f g a Source #

Functor f => Generic1 (f :.: g :: k -> Type) Source # 
Instance details

Defined in GHC.Generics

Associated Types

type Rep1 (f :.: g :: k -> Type)

Since: base-4.9.0.0

Instance details

Defined in GHC.Generics

type Rep1 (f :.: g :: k -> Type) = D1 ('MetaData ":.:" "GHC.Generics" "base" 'True) (C1 ('MetaCons "Comp1" 'PrefixI 'True) (S1 ('MetaSel ('Just "unComp1") 'NoSourceUnpackedness 'NoSourceStrictness 'DecidedLazy) (f :.: Rec1 g)))

Methods

from1 :: forall (a :: k). (f :.: g) a -> Rep1 (f :.: g) a Source #

to1 :: forall (a :: k). Rep1 (f :.: g) a -> (f :.: g) a Source #

Generic1 (Tuple6 a b c d e :: Type -> Type) Source # 
Instance details

Defined in GHC.Generics

Methods

from1 :: (a, b, c, d, e, a0) -> Rep1 (Tuple6 a b c d e) a0 Source #

to1 :: Rep1 (Tuple6 a b c d e) a0 -> (a, b, c, d, e, a0) Source #

Generic1 (Tuple7 a b c d e f :: Type -> Type) Source # 
Instance details

Defined in GHC.Generics

Methods

from1 :: (a, b, c, d, e, f, a0) -> Rep1 (Tuple7 a b c d e f) a0 Source #

to1 :: Rep1 (Tuple7 a b c d e f) a0 -> (a, b, c, d, e, f, a0) Source #

Generic1 (Tuple8 a b c d e f g :: Type -> Type) Source # 
Instance details

Defined in GHC.Generics

Methods

from1 :: (a, b, c, d, e, f, g, a0) -> Rep1 (Tuple8 a b c d e f g) a0 Source #

to1 :: Rep1 (Tuple8 a b c d e f g) a0 -> (a, b, c, d, e, f, g, a0) Source #

Generic1 (Tuple9 a b c d e f g h :: Type -> Type) Source # 
Instance details

Defined in GHC.Generics

Methods

from1 :: (a, b, c, d, e, f, g, h, a0) -> Rep1 (Tuple9 a b c d e f g h) a0 Source #

to1 :: Rep1 (Tuple9 a b c d e f g h) a0 -> (a, b, c, d, e, f, g, h, a0) Source #

Generic1 (Tuple10 a b c d e f g h i :: Type -> Type) Source # 
Instance details

Defined in GHC.Generics

Methods

from1 :: (a, b, c, d, e, f, g, h, i, a0) -> Rep1 (Tuple10 a b c d e f g h i) a0 Source #

to1 :: Rep1 (Tuple10 a b c d e f g h i) a0 -> (a, b, c, d, e, f, g, h, i, a0) Source #

Generic1 (Tuple11 a b c d e f g h i j :: Type -> Type) Source # 
Instance details

Defined in GHC.Generics

Associated Types

type Rep1 (Tuple11 a b c d e f g h i j :: Type -> Type)

Since: base-4.16.0.0

Instance details

Defined in GHC.Generics

Methods

from1 :: (a, b, c, d, e, f, g, h, i, j, a0) -> Rep1 (Tuple11 a b c d e f g h i j) a0 Source #

to1 :: Rep1 (Tuple11 a b c d e f g h i j) a0 -> (a, b, c, d, e, f, g, h, i, j, a0) Source #

Generic1 (Tuple12 a b c d e f g h i j k :: Type -> Type) Source # 
Instance details

Defined in GHC.Generics

Associated Types

type Rep1 (Tuple12 a b c d e f g h i j k :: Type -> Type)

Since: base-4.16.0.0

Instance details

Defined in GHC.Generics

Methods

from1 :: (a, b, c, d, e, f, g, h, i, j, k, a0) -> Rep1 (Tuple12 a b c d e f g h i j k) a0 Source #

to1 :: Rep1 (Tuple12 a b c d e f g h i j k) a0 -> (a, b, c, d, e, f, g, h, i, j, k, a0) Source #

Generic1 (Tuple13 a b c d e f g h i j k l :: Type -> Type) Source # 
Instance details

Defined in GHC.Generics

Associated Types

type Rep1 (Tuple13 a b c d e f g h i j k l :: Type -> Type)

Since: base-4.16.0.0

Instance details

Defined in GHC.Generics

type Rep1 (Tuple13 a b c d e f g h i j k l :: Type -> Type) = D1 ('MetaData "Tuple13" "GHC.Tuple.Prim" "ghc-prim" 'False) (C1 ('MetaCons "(,,,,,,,,,,,,)" 'PrefixI 'False) (((S1 ('MetaSel ('Nothing :: Maybe Symbol) 'NoSourceUnpackedness 'NoSourceStrictness 'DecidedLazy) (Rec0 a) :*: (S1 ('MetaSel ('Nothing :: Maybe Symbol) 'NoSourceUnpackedness 'NoSourceStrictness 'DecidedLazy) (Rec0 b) :*: S1 ('MetaSel ('Nothing :: Maybe Symbol) 'NoSourceUnpackedness 'NoSourceStrictness 'DecidedLazy) (Rec0 c))) :*: (S1 ('MetaSel ('Nothing :: Maybe Symbol) 'NoSourceUnpackedness 'NoSourceStrictness 'DecidedLazy) (Rec0 d) :*: (S1 ('MetaSel ('Nothing :: Maybe Symbol) 'NoSourceUnpackedness 'NoSourceStrictness 'DecidedLazy) (Rec0 e) :*: S1 ('MetaSel ('Nothing :: Maybe Symbol) 'NoSourceUnpackedness 'NoSourceStrictness 'DecidedLazy) (Rec0 f)))) :*: ((S1 ('MetaSel ('Nothing :: Maybe Symbol) 'NoSourceUnpackedness 'NoSourceStrictness 'DecidedLazy) (Rec0 g) :*: (S1 ('MetaSel ('Nothing :: Maybe Symbol) 'NoSourceUnpackedness 'NoSourceStrictness 'DecidedLazy) (Rec0 h) :*: S1 ('MetaSel ('Nothing :: Maybe Symbol) 'NoSourceUnpackedness 'NoSourceStrictness 'DecidedLazy) (Rec0 i))) :*: ((S1 ('MetaSel ('Nothing :: Maybe Symbol) 'NoSourceUnpackedness 'NoSourceStrictness 'DecidedLazy) (Rec0 j) :*: S1 ('MetaSel ('Nothing :: Maybe Symbol) 'NoSourceUnpackedness 'NoSourceStrictness 'DecidedLazy) (Rec0 k)) :*: (S1 ('MetaSel ('Nothing :: Maybe Symbol) 'NoSourceUnpackedness 'NoSourceStrictness 'DecidedLazy) (Rec0 l) :*: S1 ('MetaSel ('Nothing :: Maybe Symbol) 'NoSourceUnpackedness 'NoSourceStrictness 'DecidedLazy) Par1)))))

Methods

from1 :: (a, b, c, d, e, f, g, h, i, j, k, l, a0) -> Rep1 (Tuple13 a b c d e f g h i j k l) a0 Source #

to1 :: Rep1 (Tuple13 a b c d e f g h i j k l) a0 -> (a, b, c, d, e, f, g, h, i, j, k, l, a0) Source #

Generic1 (Tuple14 a b c d e f g h i j k l m :: Type -> Type) Source # 
Instance details

Defined in GHC.Generics

Associated Types

type Rep1 (Tuple14 a b c d e f g h i j k l m :: Type -> Type)

Since: base-4.16.0.0

Instance details

Defined in GHC.Generics

type Rep1 (Tuple14 a b c d e f g h i j k l m :: Type -> Type) = D1 ('MetaData "Tuple14" "GHC.Tuple.Prim" "ghc-prim" 'False) (C1 ('MetaCons "(,,,,,,,,,,,,,)" 'PrefixI 'False) (((S1 ('MetaSel ('Nothing :: Maybe Symbol) 'NoSourceUnpackedness 'NoSourceStrictness 'DecidedLazy) (Rec0 a) :*: (S1 ('MetaSel ('Nothing :: Maybe Symbol) 'NoSourceUnpackedness 'NoSourceStrictness 'DecidedLazy) (Rec0 b) :*: S1 ('MetaSel ('Nothing :: Maybe Symbol) 'NoSourceUnpackedness 'NoSourceStrictness 'DecidedLazy) (Rec0 c))) :*: ((S1 ('MetaSel ('Nothing :: Maybe Symbol) 'NoSourceUnpackedness 'NoSourceStrictness 'DecidedLazy) (Rec0 d) :*: S1 ('MetaSel ('Nothing :: Maybe Symbol) 'NoSourceUnpackedness 'NoSourceStrictness 'DecidedLazy) (Rec0 e)) :*: (S1 ('MetaSel ('Nothing :: Maybe Symbol) 'NoSourceUnpackedness 'NoSourceStrictness 'DecidedLazy) (Rec0 f) :*: S1 ('MetaSel ('Nothing :: Maybe Symbol) 'NoSourceUnpackedness 'NoSourceStrictness 'DecidedLazy) (Rec0 g)))) :*: ((S1 ('MetaSel ('Nothing :: Maybe Symbol) 'NoSourceUnpackedness 'NoSourceStrictness 'DecidedLazy) (Rec0 h) :*: (S1 ('MetaSel ('Nothing :: Maybe Symbol) 'NoSourceUnpackedness 'NoSourceStrictness 'DecidedLazy) (Rec0 i) :*: S1 ('MetaSel ('Nothing :: Maybe Symbol) 'NoSourceUnpackedness 'NoSourceStrictness 'DecidedLazy) (Rec0 j))) :*: ((S1 ('MetaSel ('Nothing :: Maybe Symbol) 'NoSourceUnpackedness 'NoSourceStrictness 'DecidedLazy) (Rec0 k) :*: S1 ('MetaSel ('Nothing :: Maybe Symbol) 'NoSourceUnpackedness 'NoSourceStrictness 'DecidedLazy) (Rec0 l)) :*: (S1 ('MetaSel ('Nothing :: Maybe Symbol) 'NoSourceUnpackedness 'NoSourceStrictness 'DecidedLazy) (Rec0 m) :*: S1 ('MetaSel ('Nothing :: Maybe Symbol) 'NoSourceUnpackedness 'NoSourceStrictness 'DecidedLazy) Par1)))))

Methods

from1 :: (a, b, c, d, e, f, g, h, i, j, k, l, m, a0) -> Rep1 (Tuple14 a b c d e f g h i j k l m) a0 Source #

to1 :: Rep1 (Tuple14 a b c d e f g h i j k l m) a0 -> (a, b, c, d, e, f, g, h, i, j, k, l, m, a0) Source #

Generic1 (Tuple15 a b c d e f g h i j k l m n :: Type -> Type) Source # 
Instance details

Defined in GHC.Generics

Associated Types

type Rep1 (Tuple15 a b c d e f g h i j k l m n :: Type -> Type)

Since: base-4.16.0.0

Instance details

Defined in GHC.Generics

type Rep1 (Tuple15 a b c d e f g h i j k l m n :: Type -> Type) = D1 ('MetaData "Tuple15" "GHC.Tuple.Prim" "ghc-prim" 'False) (C1 ('MetaCons "(,,,,,,,,,,,,,,)" 'PrefixI 'False) (((S1 ('MetaSel ('Nothing :: Maybe Symbol) 'NoSourceUnpackedness 'NoSourceStrictness 'DecidedLazy) (Rec0 a) :*: (S1 ('MetaSel ('Nothing :: Maybe Symbol) 'NoSourceUnpackedness 'NoSourceStrictness 'DecidedLazy) (Rec0 b) :*: S1 ('MetaSel ('Nothing :: Maybe Symbol) 'NoSourceUnpackedness 'NoSourceStrictness 'DecidedLazy) (Rec0 c))) :*: ((S1 ('MetaSel ('Nothing :: Maybe Symbol) 'NoSourceUnpackedness 'NoSourceStrictness 'DecidedLazy) (Rec0 d) :*: S1 ('MetaSel ('Nothing :: Maybe Symbol) 'NoSourceUnpackedness 'NoSourceStrictness 'DecidedLazy) (Rec0 e)) :*: (S1 ('MetaSel ('Nothing :: Maybe Symbol) 'NoSourceUnpackedness 'NoSourceStrictness 'DecidedLazy) (Rec0 f) :*: S1 ('MetaSel ('Nothing :: Maybe Symbol) 'NoSourceUnpackedness 'NoSourceStrictness 'DecidedLazy) (Rec0 g)))) :*: (((S1 ('MetaSel ('Nothing :: Maybe Symbol) 'NoSourceUnpackedness 'NoSourceStrictness 'DecidedLazy) (Rec0 h) :*: S1 ('MetaSel ('Nothing :: Maybe Symbol) 'NoSourceUnpackedness 'NoSourceStrictness 'DecidedLazy) (Rec0 i)) :*: (S1 ('MetaSel ('Nothing :: Maybe Symbol) 'NoSourceUnpackedness 'NoSourceStrictness 'DecidedLazy) (Rec0 j) :*: S1 ('MetaSel ('Nothing :: Maybe Symbol) 'NoSourceUnpackedness 'NoSourceStrictness 'DecidedLazy) (Rec0 k))) :*: ((S1 ('MetaSel ('Nothing :: Maybe Symbol) 'NoSourceUnpackedness 'NoSourceStrictness 'DecidedLazy) (Rec0 l) :*: S1 ('MetaSel ('Nothing :: Maybe Symbol) 'NoSourceUnpackedness 'NoSourceStrictness 'DecidedLazy) (Rec0 m)) :*: (S1 ('MetaSel ('Nothing :: Maybe Symbol) 'NoSourceUnpackedness 'NoSourceStrictness 'DecidedLazy) (Rec0 n) :*: S1 ('MetaSel ('Nothing :: Maybe Symbol) 'NoSourceUnpackedness 'NoSourceStrictness 'DecidedLazy) Par1)))))

Methods

from1 :: (a, b, c, d, e, f, g, h, i, j, k, l, m, n, a0) -> Rep1 (Tuple15 a b c d e f g h i j k l m n) a0 Source #

to1 :: Rep1 (Tuple15 a b c d e f g h i j k l m n) a0 -> (a, b, c, d, e, f, g, h, i, j, k, l, m, n, a0) Source #

MonadZip (Proxy :: Type -> Type) Source #

Since: base-4.9.0.0

Instance details

Defined in Control.Monad.Zip

Methods

mzip :: Proxy a -> Proxy b -> Proxy (a, b) Source #

mzipWith :: (a -> b -> c) -> Proxy a -> Proxy b -> Proxy c Source #

munzip :: Proxy (a, b) -> (Proxy a, Proxy b) Source #

MonadZip (U1 :: Type -> Type) Source #

Since: base-4.9.0.0

Instance details

Defined in Control.Monad.Zip

Methods

mzip :: U1 a -> U1 b -> U1 (a, b) Source #

mzipWith :: (a -> b -> c) -> U1 a -> U1 b -> U1 c Source #

munzip :: U1 (a, b) -> (U1 a, U1 b) Source #

Bifoldable (Const :: Type -> Type -> Type) Source #

Since: base-4.10.0.0

Instance details

Defined in Data.Bifoldable

Methods

bifold :: Monoid m => Const m m -> m Source #

bifoldMap :: Monoid m => (a -> m) -> (b -> m) -> Const a b -> m Source #

bifoldr :: (a -> c -> c) -> (b -> c -> c) -> c -> Const a b -> c Source #

bifoldl :: (c -> a -> c) -> (c -> b -> c) -> c -> Const a b -> c Source #

Bifoldable1 (Const :: Type -> Type -> Type) Source # 
Instance details

Defined in Data.Bifoldable1

Methods

bifold1 :: Semigroup m => Const m m -> m Source #

bifoldMap1 :: Semigroup m => (a -> m) -> (b -> m) -> Const a b -> m Source #

Bifunctor (Const :: Type -> Type -> Type) Source #

Since: base-4.8.0.0

Instance details

Defined in Data.Bifunctor

Methods

bimap :: (a -> b) -> (c -> d) -> Const a c -> Const b d Source #

first :: (a -> b) -> Const a c -> Const b c Source #

second :: (b -> c) -> Const a b -> Const a c Source #

Bitraversable (Const :: Type -> Type -> Type) Source #

Since: base-4.10.0.0

Instance details

Defined in Data.Bitraversable

Methods

bitraverse :: Applicative f => (a -> f c) -> (b -> f d) -> Const a b -> f (Const c d) Source #

Foldable (Proxy :: Type -> Type) Source #

Since: base-4.7.0.0

Instance details

Defined in Data.Foldable

Methods

fold :: Monoid m => Proxy m -> m Source #

foldMap :: Monoid m => (a -> m) -> Proxy a -> m Source #

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

foldr :: (a -> b -> b) -> b -> Proxy a -> b Source #

foldr' :: (a -> b -> b) -> b -> Proxy a -> b Source #

foldl :: (b -> a -> b) -> b -> Proxy a -> b Source #

foldl' :: (b -> a -> b) -> b -> Proxy a -> b Source #

foldr1 :: (a -> a -> a) -> Proxy a -> a Source #

foldl1 :: (a -> a -> a) -> Proxy a -> a Source #

toList :: Proxy a -> [a] Source #

null :: Proxy a -> Bool Source #

length :: Proxy a -> Int Source #

elem :: Eq a => a -> Proxy a -> Bool Source #

maximum :: Ord a => Proxy a -> a Source #

minimum :: Ord a => Proxy a -> a Source #

sum :: Num a => Proxy a -> a Source #

product :: Num a => Proxy a -> a Source #

Foldable (U1 :: Type -> Type) Source #

Since: base-4.9.0.0

Instance details

Defined in Data.Foldable

Methods

fold :: Monoid m => U1 m -> m Source #

foldMap :: Monoid m => (a -> m) -> U1 a -> m Source #

foldMap' :: Monoid m => (a -> m) -> U1 a -> m Source #

foldr :: (a -> b -> b) -> b -> U1 a -> b Source #

foldr' :: (a -> b -> b) -> b -> U1 a -> b Source #

foldl :: (b -> a -> b) -> b -> U1 a -> b Source #

foldl' :: (b -> a -> b) -> b -> U1 a -> b Source #

foldr1 :: (a -> a -> a) -> U1 a -> a Source #

foldl1 :: (a -> a -> a) -> U1 a -> a Source #

toList :: U1 a -> [a] Source #

null :: U1 a -> Bool Source #

length :: U1 a -> Int Source #

elem :: Eq a => a -> U1 a -> Bool Source #

maximum :: Ord a => U1 a -> a Source #

minimum :: Ord a => U1 a -> a Source #

sum :: Num a => U1 a -> a Source #

product :: Num a => U1 a -> a Source #

Foldable (UAddr :: Type -> Type) Source #

Since: base-4.9.0.0

Instance details

Defined in Data.Foldable

Methods

fold :: Monoid m => UAddr m -> m Source #

foldMap :: Monoid m => (a -> m) -> UAddr a -> m Source #

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

foldr :: (a -> b -> b) -> b -> UAddr a -> b Source #

foldr' :: (a -> b -> b) -> b -> UAddr a -> b Source #

foldl :: (b -> a -> b) -> b -> UAddr a -> b Source #

foldl' :: (b -> a -> b) -> b -> UAddr a -> b Source #

foldr1 :: (a -> a -> a) -> UAddr a -> a Source #

foldl1 :: (a -> a -> a) -> UAddr a -> a Source #

toList :: UAddr a -> [a] Source #

null :: UAddr a -> Bool Source #

length :: UAddr a -> Int Source #

elem :: Eq a => a -> UAddr a -> Bool Source #

maximum :: Ord a => UAddr a -> a Source #

minimum :: Ord a => UAddr a -> a Source #

sum :: Num a => UAddr a -> a Source #

product :: Num a => UAddr a -> a Source #

Foldable (UChar :: Type -> Type) Source #

Since: base-4.9.0.0

Instance details

Defined in Data.Foldable

Methods

fold :: Monoid m => UChar m -> m Source #

foldMap :: Monoid m => (a -> m) -> UChar a -> m Source #

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

foldr :: (a -> b -> b) -> b -> UChar a -> b Source #

foldr' :: (a -> b -> b) -> b -> UChar a -> b Source #

foldl :: (b -> a -> b) -> b -> UChar a -> b Source #

foldl' :: (b -> a -> b) -> b -> UChar a -> b Source #

foldr1 :: (a -> a -> a) -> UChar a -> a Source #

foldl1 :: (a -> a -> a) -> UChar a -> a Source #

toList :: UChar a -> [a] Source #

null :: UChar a -> Bool Source #

length :: UChar a -> Int Source #

elem :: Eq a => a -> UChar a -> Bool Source #

maximum :: Ord a => UChar a -> a Source #

minimum :: Ord a => UChar a -> a Source #

sum :: Num a => UChar a -> a Source #

product :: Num a => UChar a -> a Source #

Foldable (UDouble :: Type -> Type) Source #

Since: base-4.9.0.0

Instance details

Defined in Data.Foldable

Methods

fold :: Monoid m => UDouble m -> m Source #

foldMap :: Monoid m => (a -> m) -> UDouble a -> m Source #

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

foldr :: (a -> b -> b) -> b -> UDouble a -> b Source #

foldr' :: (a -> b -> b) -> b -> UDouble a -> b Source #

foldl :: (b -> a -> b) -> b -> UDouble a -> b Source #

foldl' :: (b -> a -> b) -> b -> UDouble a -> b Source #

foldr1 :: (a -> a -> a) -> UDouble a -> a Source #

foldl1 :: (a -> a -> a) -> UDouble a -> a Source #

toList :: UDouble a -> [a] Source #

null :: UDouble a -> Bool Source #

length :: UDouble a -> Int Source #

elem :: Eq a => a -> UDouble a -> Bool Source #

maximum :: Ord a => UDouble a -> a Source #

minimum :: Ord a => UDouble a -> a Source #

sum :: Num a => UDouble a -> a Source #

product :: Num a => UDouble a -> a Source #

Foldable (UFloat :: Type -> Type) Source #

Since: base-4.9.0.0

Instance details

Defined in Data.Foldable

Methods

fold :: Monoid m => UFloat m -> m Source #

foldMap :: Monoid m => (a -> m) -> UFloat a -> m Source #

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

foldr :: (a -> b -> b) -> b -> UFloat a -> b Source #

foldr' :: (a -> b -> b) -> b -> UFloat a -> b Source #

foldl :: (b -> a -> b) -> b -> UFloat a -> b Source #

foldl' :: (b -> a -> b) -> b -> UFloat a -> b Source #

foldr1 :: (a -> a -> a) -> UFloat a -> a Source #

foldl1 :: (a -> a -> a) -> UFloat a -> a Source #

toList :: UFloat a -> [a] Source #

null :: UFloat a -> Bool Source #

length :: UFloat a -> Int Source #

elem :: Eq a => a -> UFloat a -> Bool Source #

maximum :: Ord a => UFloat a -> a Source #

minimum :: Ord a => UFloat a -> a Source #

sum :: Num a => UFloat a -> a Source #

product :: Num a => UFloat a -> a Source #

Foldable (UInt :: Type -> Type) Source #

Since: base-4.9.0.0

Instance details

Defined in Data.Foldable

Methods

fold :: Monoid m => UInt m -> m Source #

foldMap :: Monoid m => (a -> m) -> UInt a -> m Source #

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

foldr :: (a -> b -> b) -> b -> UInt a -> b Source #

foldr' :: (a -> b -> b) -> b -> UInt a -> b Source #

foldl :: (b -> a -> b) -> b -> UInt a -> b Source #

foldl' :: (b -> a -> b) -> b -> UInt a -> b Source #

foldr1 :: (a -> a -> a) -> UInt a -> a Source #

foldl1 :: (a -> a -> a) -> UInt a -> a Source #

toList :: UInt a -> [a] Source #

null :: UInt a -> Bool Source #

length :: UInt a -> Int Source #

elem :: Eq a => a -> UInt a -> Bool Source #

maximum :: Ord a => UInt a -> a Source #

minimum :: Ord a => UInt a -> a Source #

sum :: Num a => UInt a -> a Source #

product :: Num a => UInt a -> a Source #

Foldable (UWord :: Type -> Type) Source #

Since: base-4.9.0.0

Instance details

Defined in Data.Foldable

Methods

fold :: Monoid m => UWord m -> m Source #

foldMap :: Monoid m => (a -> m) -> UWord a -> m Source #

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

foldr :: (a -> b -> b) -> b -> UWord a -> b Source #

foldr' :: (a -> b -> b) -> b -> UWord a -> b Source #

foldl :: (b -> a -> b) -> b -> UWord a -> b Source #

foldl' :: (b -> a -> b) -> b -> UWord a -> b Source #

foldr1 :: (a -> a -> a) -> UWord a -> a Source #

foldl1 :: (a -> a -> a) -> UWord a -> a Source #

toList :: UWord a -> [a] Source #

null :: UWord a -> Bool Source #

length :: UWord a -> Int Source #

elem :: Eq a => a -> UWord a -> Bool Source #

maximum :: Ord a => UWord a -> a Source #

minimum :: Ord a => UWord a -> a Source #

sum :: Num a => UWord a -> a Source #

product :: Num a => UWord a -> a Source #

Foldable (V1 :: Type -> Type) Source #

Since: base-4.9.0.0

Instance details

Defined in Data.Foldable

Methods

fold :: Monoid m => V1 m -> m Source #

foldMap :: Monoid m => (a -> m) -> V1 a -> m Source #

foldMap' :: Monoid m => (a -> m) -> V1 a -> m Source #

foldr :: (a -> b -> b) -> b -> V1 a -> b Source #

foldr' :: (a -> b -> b) -> b -> V1 a -> b Source #

foldl :: (b -> a -> b) -> b -> V1 a -> b Source #

foldl' :: (b -> a -> b) -> b -> V1 a -> b Source #

foldr1 :: (a -> a -> a) -> V1 a -> a Source #

foldl1 :: (a -> a -> a) -> V1 a -> a Source #

toList :: V1 a -> [a] Source #

null :: V1 a -> Bool Source #

length :: V1 a -> Int Source #

elem :: Eq a => a -> V1 a -> Bool Source #

maximum :: Ord a => V1 a -> a Source #

minimum :: Ord a => V1 a -> a Source #

sum :: Num a => V1 a -> a Source #

product :: Num a => V1 a -> a Source #

Foldable1 (V1 :: Type -> Type) Source #

Since: base-4.18.0.0

Instance details

Defined in Data.Foldable1

Methods

fold1 :: Semigroup m => V1 m -> m Source #

foldMap1 :: Semigroup m => (a -> m) -> V1 a -> m Source #

foldMap1' :: Semigroup m => (a -> m) -> V1 a -> m Source #

toNonEmpty :: V1 a -> NonEmpty a Source #

maximum :: Ord a => V1 a -> a Source #

minimum :: Ord a => V1 a -> a Source #

head :: V1 a -> a Source #

last :: V1 a -> a Source #

foldrMap1 :: (a -> b) -> (a -> b -> b) -> V1 a -> b Source #

foldlMap1' :: (a -> b) -> (b -> a -> b) -> V1 a -> b Source #

foldlMap1 :: (a -> b) -> (b -> a -> b) -> V1 a -> b Source #

foldrMap1' :: (a -> b) -> (a -> b -> b) -> V1 a -> b Source #

Eq1 (Proxy :: Type -> Type) Source #

Since: base-4.9.0.0

Instance details

Defined in Data.Functor.Classes

Methods

liftEq :: (a -> b -> Bool) -> Proxy a -> Proxy b -> Bool Source #

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

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 Source #

Ord1 (Proxy :: Type -> Type) Source #

Since: base-4.9.0.0

Instance details

Defined in Data.Functor.Classes

Methods

liftCompare :: (a -> b -> Ordering) -> Proxy a -> Proxy b -> Ordering Source #

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

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 Source #

Read1 (Proxy :: Type -> Type) Source #

Since: base-4.9.0.0

Instance details

Defined in Data.Functor.Classes

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

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) Source #

liftReadList2 :: (Int -> ReadS a) -> ReadS [a] -> (Int -> ReadS b) -> ReadS [b] -> ReadS [Const a b] Source #

liftReadPrec2 :: ReadPrec a -> ReadPrec [a] -> ReadPrec b -> ReadPrec [b] -> ReadPrec (Const a b) Source #

liftReadListPrec2 :: ReadPrec a -> ReadPrec [a] -> ReadPrec b -> ReadPrec [b] -> ReadPrec [Const a b] Source #

Show1 (Proxy :: Type -> Type) Source #

Since: base-4.9.0.0

Instance details

Defined in Data.Functor.Classes

Methods

liftShowsPrec :: (Int -> a -> ShowS) -> ([a] -> ShowS) -> Int -> Proxy a -> ShowS Source #

liftShowList :: (Int -> a -> ShowS) -> ([a] -> ShowS) -> [Proxy a] -> ShowS Source #

Show2 (Const :: Type -> Type -> Type) Source #

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 Source #

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

Contravariant (Proxy :: Type -> Type) Source # 
Instance details

Defined in Data.Functor.Contravariant

Methods

contramap :: (a' -> a) -> Proxy a -> Proxy a' Source #

(>$) :: b -> Proxy b -> Proxy a Source #

Contravariant (U1 :: Type -> Type) Source # 
Instance details

Defined in Data.Functor.Contravariant

Methods

contramap :: (a' -> a) -> U1 a -> U1 a' Source #

(>$) :: b -> U1 b -> U1 a Source #

Contravariant (V1 :: Type -> Type) Source # 
Instance details

Defined in Data.Functor.Contravariant

Methods

contramap :: (a' -> a) -> V1 a -> V1 a' Source #

(>$) :: b -> V1 b -> V1 a Source #

Traversable (Proxy :: Type -> Type) Source #

Since: base-4.7.0.0

Instance details

Defined in Data.Traversable

Methods

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

sequenceA :: Applicative f => Proxy (f a) -> f (Proxy a) Source #

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

sequence :: Monad m => Proxy (m a) -> m (Proxy a) Source #

Traversable (U1 :: Type -> Type) Source #

Since: base-4.9.0.0

Instance details

Defined in Data.Traversable

Methods

traverse :: Applicative f => (a -> f b) -> U1 a -> f (U1 b) Source #

sequenceA :: Applicative f => U1 (f a) -> f (U1 a) Source #

mapM :: Monad m => (a -> m b) -> U1 a -> m (U1 b) Source #

sequence :: Monad m => U1 (m a) -> m (U1 a) Source #

Traversable (UAddr :: Type -> Type) Source #

Since: base-4.9.0.0

Instance details

Defined in Data.Traversable

Methods

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

sequenceA :: Applicative f => UAddr (f a) -> f (UAddr a) Source #

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

sequence :: Monad m => UAddr (m a) -> m (UAddr a) Source #

Traversable (UChar :: Type -> Type) Source #

Since: base-4.9.0.0

Instance details

Defined in Data.Traversable

Methods

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

sequenceA :: Applicative f => UChar (f a) -> f (UChar a) Source #

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

sequence :: Monad m => UChar (m a) -> m (UChar a) Source #

Traversable (UDouble :: Type -> Type) Source #

Since: base-4.9.0.0

Instance details

Defined in Data.Traversable

Methods

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

sequenceA :: Applicative f => UDouble (f a) -> f (UDouble a) Source #

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

sequence :: Monad m => UDouble (m a) -> m (UDouble a) Source #

Traversable (UFloat :: Type -> Type) Source #

Since: base-4.9.0.0

Instance details

Defined in Data.Traversable

Methods

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

sequenceA :: Applicative f => UFloat (f a) -> f (UFloat a) Source #

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

sequence :: Monad m => UFloat (m a) -> m (UFloat a) Source #

Traversable (UInt :: Type -> Type) Source #

Since: base-4.9.0.0

Instance details

Defined in Data.Traversable

Methods

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

sequenceA :: Applicative f => UInt (f a) -> f (UInt a) Source #

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

sequence :: Monad m => UInt (m a) -> m (UInt a) Source #

Traversable (UWord :: Type -> Type) Source #

Since: base-4.9.0.0

Instance details

Defined in Data.Traversable

Methods

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

sequenceA :: Applicative f => UWord (f a) -> f (UWord a) Source #

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

sequence :: Monad m => UWord (m a) -> m (UWord a) Source #

Traversable (V1 :: Type -> Type) Source #

Since: base-4.9.0.0

Instance details

Defined in Data.Traversable

Methods

traverse :: Applicative f => (a -> f b) -> V1 a -> f (V1 b) Source #

sequenceA :: Applicative f => V1 (f a) -> f (V1 a) Source #

mapM :: Monad m => (a -> m b) -> V1 a -> m (V1 b) Source #

sequence :: Monad m => V1 (m a) -> m (V1 a) Source #

Alternative (Proxy :: Type -> Type) Source #

Since: base-4.9.0.0

Instance details

Defined in Data.Proxy

Methods

empty :: Proxy a Source #

(<|>) :: Proxy a -> Proxy a -> Proxy a Source #

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

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

Alternative (U1 :: Type -> Type) Source #

Since: base-4.9.0.0

Instance details

Defined in GHC.Generics

Methods

empty :: U1 a Source #

(<|>) :: U1 a -> U1 a -> U1 a Source #

some :: U1 a -> U1 [a] Source #

many :: U1 a -> U1 [a] Source #

Applicative (Proxy :: Type -> Type) Source #

Since: base-4.7.0.0

Instance details

Defined in Data.Proxy

Methods

pure :: a -> Proxy a Source #

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

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

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

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

Applicative (U1 :: Type -> Type) Source #

Since: base-4.9.0.0

Instance details

Defined in GHC.Generics

Methods

pure :: a -> U1 a Source #

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

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

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

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

Functor (Proxy :: Type -> Type) Source #

Since: base-4.7.0.0

Instance details

Defined in Data.Proxy

Methods

fmap :: (a -> b) -> Proxy a -> Proxy b Source #

(<$) :: a -> Proxy b -> Proxy a Source #

Functor (U1 :: Type -> Type) Source #

Since: base-4.9.0.0

Instance details

Defined in GHC.Generics

Methods

fmap :: (a -> b) -> U1 a -> U1 b Source #

(<$) :: a -> U1 b -> U1 a Source #

Functor (V1 :: Type -> Type) Source #

Since: base-4.9.0.0

Instance details

Defined in GHC.Generics

Methods

fmap :: (a -> b) -> V1 a -> V1 b Source #

(<$) :: a -> V1 b -> V1 a Source #

Monad (Proxy :: Type -> Type) Source #

Since: base-4.7.0.0

Instance details

Defined in Data.Proxy

Methods

(>>=) :: Proxy a -> (a -> Proxy b) -> Proxy b Source #

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

return :: a -> Proxy a Source #

Monad (U1 :: Type -> Type) Source #

Since: base-4.9.0.0

Instance details

Defined in GHC.Generics

Methods

(>>=) :: U1 a -> (a -> U1 b) -> U1 b Source #

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

return :: a -> U1 a Source #

MonadPlus (Proxy :: Type -> Type) Source #

Since: base-4.9.0.0

Instance details

Defined in Data.Proxy

Methods

mzero :: Proxy a Source #

mplus :: Proxy a -> Proxy a -> Proxy a Source #

MonadPlus (U1 :: Type -> Type) Source #

Since: base-4.9.0.0

Instance details

Defined in GHC.Generics

Methods

mzero :: U1 a Source #

mplus :: U1 a -> U1 a -> U1 a Source #

MonadFail f => MonadFail (Ap f) Source #

Since: base-4.12.0.0

Instance details

Defined in Data.Monoid

Methods

fail :: String -> Ap f a Source #

MonadFix f => MonadFix (Ap f) Source #

Since: base-4.12.0.0

Instance details

Defined in Control.Monad.Fix

Methods

mfix :: (a -> Ap f a) -> Ap f a Source #

MonadFix f => MonadFix (Alt f) Source #

Since: base-4.8.0.0

Instance details

Defined in Control.Monad.Fix

Methods

mfix :: (a -> Alt f a) -> Alt f a Source #

MonadFix f => MonadFix (Rec1 f) Source #

Since: base-4.9.0.0

Instance details

Defined in Control.Monad.Fix

Methods

mfix :: (a -> Rec1 f a) -> Rec1 f a Source #

MonadZip f => MonadZip (Alt f) Source #

Since: base-4.8.0.0

Instance details

Defined in Control.Monad.Zip

Methods

mzip :: Alt f a -> Alt f b -> Alt f (a, b) Source #

mzipWith :: (a -> b -> c) -> Alt f a -> Alt f b -> Alt f c Source #

munzip :: Alt f (a, b) -> (Alt f a, Alt f b) Source #

MonadZip f => MonadZip (Rec1 f) Source #

Since: base-4.9.0.0

Instance details

Defined in Control.Monad.Zip

Methods

mzip :: Rec1 f a -> Rec1 f b -> Rec1 f (a, b) Source #

mzipWith :: (a -> b -> c) -> Rec1 f a -> Rec1 f b -> Rec1 f c Source #

munzip :: Rec1 f (a, b) -> (Rec1 f a, Rec1 f b) Source #

Bifoldable (K1 i :: Type -> Type -> Type) Source #

Since: base-4.10.0.0

Instance details

Defined in Data.Bifoldable

Methods

bifold :: Monoid m => K1 i m m -> m Source #

bifoldMap :: Monoid m => (a -> m) -> (b -> m) -> K1 i a b -> m Source #

bifoldr :: (a -> c -> c) -> (b -> c -> c) -> c -> K1 i a b -> c Source #

bifoldl :: (c -> a -> c) -> (c -> b -> c) -> c -> K1 i a b -> c Source #

Bifunctor (K1 i :: Type -> Type -> Type) Source #

Since: base-4.9.0.0

Instance details

Defined in Data.Bifunctor

Methods

bimap :: (a -> b) -> (c -> d) -> K1 i a c -> K1 i b d Source #

first :: (a -> b) -> K1 i a c -> K1 i b c Source #

second :: (b -> c) -> K1 i a b -> K1 i a c Source #

Bitraversable (K1 i :: Type -> Type -> Type) Source #

Since: base-4.10.0.0

Instance details

Defined in Data.Bitraversable

Methods

bitraverse :: Applicative f => (a -> f c) -> (b -> f d) -> K1 i a b -> f (K1 i c d) Source #

Data t => Data (Proxy t) Source #

Since: base-4.7.0.0

Instance details

Defined in Data.Data

Methods

gfoldl :: (forall d b. Data d => c (d -> b) -> d -> c b) -> (forall g. g -> c g) -> Proxy t -> c (Proxy t) Source #

gunfold :: (forall b r. Data b => c (b -> r) -> c r) -> (forall r. r -> c r) -> Constr -> c (Proxy t) Source #

toConstr :: Proxy t -> Constr Source #

dataTypeOf :: Proxy t -> DataType Source #

dataCast1 :: Typeable t0 => (forall d. Data d => c (t0 d)) -> Maybe (c (Proxy t)) Source #

dataCast2 :: Typeable t0 => (forall d e. (Data d, Data e) => c (t0 d e)) -> Maybe (c (Proxy t)) Source #

gmapT :: (forall b. Data b => b -> b) -> Proxy t -> Proxy t Source #

gmapQl :: (r -> r' -> r) -> r -> (forall d. Data d => d -> r') -> Proxy t -> r Source #

gmapQr :: forall r r'. (r' -> r -> r) -> r -> (forall d. Data d => d -> r') -> Proxy t -> r Source #

gmapQ :: (forall d. Data d => d -> u) -> Proxy t -> [u] Source #

gmapQi :: Int -> (forall d. Data d => d -> u) -> Proxy t -> u Source #

gmapM :: Monad m => (forall d. Data d => d -> m d) -> Proxy t -> m (Proxy t) Source #

gmapMp :: MonadPlus m => (forall d. Data d => d -> m d) -> Proxy t -> m (Proxy t) Source #

gmapMo :: MonadPlus m => (forall d. Data d => d -> m d) -> Proxy t -> m (Proxy t) Source #

Data p => Data (U1 p) Source #

Since: base-4.9.0.0

Instance details

Defined in Data.Data

Methods

gfoldl :: (forall d b. Data d => c (d -> b) -> d -> c b) -> (forall g. g -> c g) -> U1 p -> c (U1 p) Source #

gunfold :: (forall b r. Data b => c (b -> r) -> c r) -> (forall r. r -> c r) -> Constr -> c (U1 p) Source #

toConstr :: U1 p -> Constr Source #

dataTypeOf :: U1 p -> DataType Source #

dataCast1 :: Typeable t => (forall d. Data d => c (t d)) -> Maybe (c (U1 p)) Source #

dataCast2 :: Typeable t => (forall d e. (Data d, Data e) => c (t d e)) -> Maybe (c (U1 p)) Source #

gmapT :: (forall b. Data b => b -> b) -> U1 p -> U1 p Source #

gmapQl :: (r -> r' -> r) -> r -> (forall d. Data d => d -> r') -> U1 p -> r Source #

gmapQr :: forall r r'. (r' -> r -> r) -> r -> (forall d. Data d => d -> r') -> U1 p -> r Source #

gmapQ :: (forall d. Data d => d -> u) -> U1 p -> [u] Source #

gmapQi :: Int -> (forall d. Data d => d -> u) -> U1 p -> u Source #

gmapM :: Monad m => (forall d. Data d => d -> m d) -> U1 p -> m (U1 p) Source #

gmapMp :: MonadPlus m => (forall d. Data d => d -> m d) -> U1 p -> m (U1 p) Source #

gmapMo :: MonadPlus m => (forall d. Data d => d -> m d) -> U1 p -> m (U1 p) Source #

Data p => Data (V1 p) Source #

Since: base-4.9.0.0

Instance details

Defined in Data.Data

Methods

gfoldl :: (forall d b. Data d => c (d -> b) -> d -> c b) -> (forall g. g -> c g) -> V1 p -> c (V1 p) Source #

gunfold :: (forall b r. Data b => c (b -> r) -> c r) -> (forall r. r -> c r) -> Constr -> c (V1 p) Source #

toConstr :: V1 p -> Constr Source #

dataTypeOf :: V1 p -> DataType Source #

dataCast1 :: Typeable t => (forall d. Data d => c (t d)) -> Maybe (c (V1 p)) Source #

dataCast2 :: Typeable t => (forall d e. (Data d, Data e) => c (t d e)) -> Maybe (c (V1 p)) Source #

gmapT :: (forall b. Data b => b -> b) -> V1 p -> V1 p Source #

gmapQl :: (r -> r' -> r) -> r -> (forall d. Data d => d -> r') -> V1 p -> r Source #

gmapQr :: forall r r'. (r' -> r -> r) -> r -> (forall d. Data d => d -> r') -> V1 p -> r Source #

gmapQ :: (forall d. Data d => d -> u) -> V1 p -> [u] Source #

gmapQi :: Int -> (forall d. Data d => d -> u) -> V1 p -> u Source #

gmapM :: Monad m => (forall d. Data d => d -> m d) -> V1 p -> m (V1 p) Source #

gmapMp :: MonadPlus m => (forall d. Data d => d -> m d) -> V1 p -> m (V1 p) Source #

gmapMo :: MonadPlus m => (forall d. Data d => d -> m d) -> V1 p -> m (V1 p) Source #

Foldable (Const m :: Type -> Type) Source #

Since: base-4.7.0.0

Instance details

Defined in Data.Functor.Const

Methods

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

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

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

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

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

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

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

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

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

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

null :: Const m a -> Bool Source #

length :: Const m a -> Int Source #

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

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

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

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

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

Foldable f => Foldable (Ap f) Source #

Since: base-4.12.0.0

Instance details

Defined in Data.Foldable

Methods

fold :: Monoid m => Ap f m -> m Source #

foldMap :: Monoid m => (a -> m) -> Ap f a -> m Source #

foldMap' :: Monoid m => (a -> m) -> Ap f a -> m Source #

foldr :: (a -> b -> b) -> b -> Ap f a -> b Source #

foldr' :: (a -> b -> b) -> b -> Ap f a -> b Source #

foldl :: (b -> a -> b) -> b -> Ap f a -> b Source #

foldl' :: (b -> a -> b) -> b -> Ap f a -> b Source #

foldr1 :: (a -> a -> a) -> Ap f a -> a Source #

foldl1 :: (a -> a -> a) -> Ap f a -> a Source #

toList :: Ap f a -> [a] Source #

null :: Ap f a -> Bool Source #

length :: Ap f a -> Int Source #

elem :: Eq a => a -> Ap f a -> Bool Source #

maximum :: Ord a => Ap f a -> a Source #

minimum :: Ord a => Ap f a -> a Source #

sum :: Num a => Ap f a -> a Source #

product :: Num a => Ap f a -> a Source #

Foldable f => Foldable (Alt f) Source #

Since: base-4.12.0.0

Instance details

Defined in Data.Foldable

Methods

fold :: Monoid m => Alt f m -> m Source #

foldMap :: Monoid m => (a -> m) -> Alt f a -> m Source #

foldMap' :: Monoid m => (a -> m) -> Alt f a -> m Source #

foldr :: (a -> b -> b) -> b -> Alt f a -> b Source #

foldr' :: (a -> b -> b) -> b -> Alt f a -> b Source #

foldl :: (b -> a -> b) -> b -> Alt f a -> b Source #

foldl' :: (b -> a -> b) -> b -> Alt f a -> b Source #

foldr1 :: (a -> a -> a) -> Alt f a -> a Source #

foldl1 :: (a -> a -> a) -> Alt f a -> a Source #

toList :: Alt f a -> [a] Source #

null :: Alt f a -> Bool Source #

length :: Alt f a -> Int Source #

elem :: Eq a => a -> Alt f a -> Bool Source #

maximum :: Ord a => Alt f a -> a Source #

minimum :: Ord a => Alt f a -> a Source #

sum :: Num a => Alt f a -> a Source #

product :: Num a => Alt f a -> a Source #

Foldable f => Foldable (Rec1 f) Source #

Since: base-4.9.0.0

Instance details

Defined in Data.Foldable

Methods

fold :: Monoid m => Rec1 f m -> m Source #

foldMap :: Monoid m => (a -> m) -> Rec1 f a -> m Source #

foldMap' :: Monoid m => (a -> m) -> Rec1 f a -> m Source #

foldr :: (a -> b -> b) -> b -> Rec1 f a -> b Source #

foldr' :: (a -> b -> b) -> b -> Rec1 f a -> b Source #

foldl :: (b -> a -> b) -> b -> Rec1 f a -> b Source #

foldl' :: (b -> a -> b) -> b -> Rec1 f a -> b Source #

foldr1 :: (a -> a -> a) -> Rec1 f a -> a Source #

foldl1 :: (a -> a -> a) -> Rec1 f a -> a Source #

toList :: Rec1 f a -> [a] Source #

null :: Rec1 f a -> Bool Source #

length :: Rec1 f a -> Int Source #

elem :: Eq a => a -> Rec1 f a -> Bool Source #

maximum :: Ord a => Rec1 f a -> a Source #

minimum :: Ord a => Rec1 f a -> a Source #

sum :: Num a => Rec1 f a -> a Source #

product :: Num a => Rec1 f a -> a Source #

Foldable1 f => Foldable1 (Ap f) Source #

Since: base-4.18.0.0

Instance details

Defined in Data.Foldable1

Methods

fold1 :: Semigroup m => Ap f m -> m Source #

foldMap1 :: Semigroup m => (a -> m) -> Ap f a -> m Source #

foldMap1' :: Semigroup m => (a -> m) -> Ap f a -> m Source #

toNonEmpty :: Ap f a -> NonEmpty a Source #

maximum :: Ord a => Ap f a -> a Source #

minimum :: Ord a => Ap f a -> a Source #

head :: Ap f a -> a Source #

last :: Ap f a -> a Source #

foldrMap1 :: (a -> b) -> (a -> b -> b) -> Ap f a -> b Source #

foldlMap1' :: (a -> b) -> (b -> a -> b) -> Ap f a -> b Source #

foldlMap1 :: (a -> b) -> (b -> a -> b) -> Ap f a -> b Source #

foldrMap1' :: (a -> b) -> (a -> b -> b) -> Ap f a -> b Source #

Foldable1 f => Foldable1 (Alt f) Source #

Since: base-4.18.0.0

Instance details

Defined in Data.Foldable1

Methods

fold1 :: Semigroup m => Alt f m -> m Source #

foldMap1 :: Semigroup m => (a -> m) -> Alt f a -> m Source #

foldMap1' :: Semigroup m => (a -> m) -> Alt f a -> m Source #

toNonEmpty :: Alt f a -> NonEmpty a Source #

maximum :: Ord a => Alt f a -> a Source #

minimum :: Ord a => Alt f a -> a Source #

head :: Alt f a -> a Source #

last :: Alt f a -> a Source #

foldrMap1 :: (a -> b) -> (a -> b -> b) -> Alt f a -> b Source #

foldlMap1' :: (a -> b) -> (b -> a -> b) -> Alt f a -> b Source #

foldlMap1 :: (a -> b) -> (b -> a -> b) -> Alt f a -> b Source #

foldrMap1' :: (a -> b) -> (a -> b -> b) -> Alt f a -> b Source #

Foldable1 f => Foldable1 (Rec1 f) Source #

Since: base-4.18.0.0

Instance details

Defined in Data.Foldable1

Methods

fold1 :: Semigroup m => Rec1 f m -> m Source #

foldMap1 :: Semigroup m => (a -> m) -> Rec1 f a -> m Source #

foldMap1' :: Semigroup m => (a -> m) -> Rec1 f a -> m Source #

toNonEmpty :: Rec1 f a -> NonEmpty a Source #

maximum :: Ord a => Rec1 f a -> a Source #

minimum :: Ord a => Rec1 f a -> a Source #

head :: Rec1 f a -> a Source #

last :: Rec1 f a -> a Source #

foldrMap1 :: (a -> b) -> (a -> b -> b) -> Rec1 f a -> b Source #

foldlMap1' :: (a -> b) -> (b -> a -> b) -> Rec1 f a -> b Source #

foldlMap1 :: (a -> b) -> (b -> a -> b) -> Rec1 f a -> b Source #

foldrMap1' :: (a -> b) -> (a -> b -> b) -> Rec1 f a -> b Source #

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

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 Source #

(Generic1 f, Eq1 (Rep1 f)) => Eq1 (Generically1 f) Source #

Since: base-4.17.0.0

Instance details

Defined in Data.Functor.Classes

Methods

liftEq :: (a -> b -> Bool) -> Generically1 f a -> Generically1 f b -> Bool Source #

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

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 Source #

(Generic1 f, Ord1 (Rep1 f)) => Ord1 (Generically1 f) Source #

Since: base-4.17.0.0

Instance details

Defined in Data.Functor.Classes

Methods

liftCompare :: (a -> b -> Ordering) -> Generically1 f a -> Generically1 f b -> Ordering Source #

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

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) Source #

liftReadList :: (Int -> ReadS a0) -> ReadS [a0] -> ReadS [Const a a0] Source #

liftReadPrec :: ReadPrec a0 -> ReadPrec [a0] -> ReadPrec (Const a a0) Source #

liftReadListPrec :: ReadPrec a0 -> ReadPrec [a0] -> ReadPrec [Const a a0] Source #

Show a => Show1 (Const a :: Type -> Type) Source #

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 Source #

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

Contravariant (Const a :: Type -> Type) Source # 
Instance details

Defined in Data.Functor.Contravariant

Methods

contramap :: (a' -> a0) -> Const a a0 -> Const a a' Source #

(>$) :: b -> Const a b -> Const a a0 Source #

Contravariant f => Contravariant (Alt f) Source # 
Instance details

Defined in Data.Functor.Contravariant

Methods

contramap :: (a' -> a) -> Alt f a -> Alt f a' Source #

(>$) :: b -> Alt f b -> Alt f a Source #

Contravariant f => Contravariant (Rec1 f) Source # 
Instance details

Defined in Data.Functor.Contravariant

Methods

contramap :: (a' -> a) -> Rec1 f a -> Rec1 f a' Source #

(>$) :: b -> Rec1 f b -> Rec1 f a Source #

Traversable (Const m :: Type -> Type) Source #

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) Source #

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

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

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

Traversable f => Traversable (Ap f) Source #

Since: base-4.12.0.0

Instance details

Defined in Data.Traversable

Methods

traverse :: Applicative f0 => (a -> f0 b) -> Ap f a -> f0 (Ap f b) Source #

sequenceA :: Applicative f0 => Ap f (f0 a) -> f0 (Ap f a) Source #

mapM :: Monad m => (a -> m b) -> Ap f a -> m (Ap f b) Source #

sequence :: Monad m => Ap f (m a) -> m (Ap f a) Source #

Traversable f => Traversable (Alt f) Source #

Since: base-4.12.0.0

Instance details

Defined in Data.Traversable

Methods

traverse :: Applicative f0 => (a -> f0 b) -> Alt f a -> f0 (Alt f b) Source #

sequenceA :: Applicative f0 => Alt f (f0 a) -> f0 (Alt f a) Source #

mapM :: Monad m => (a -> m b) -> Alt f a -> m (Alt f b) Source #

sequence :: Monad m => Alt f (m a) -> m (Alt f a) Source #

Traversable f => Traversable (Rec1 f) Source #

Since: base-4.9.0.0

Instance details

Defined in Data.Traversable

Methods

traverse :: Applicative f0 => (a -> f0 b) -> Rec1 f a -> f0 (Rec1 f b) Source #

sequenceA :: Applicative f0 => Rec1 f (f0 a) -> f0 (Rec1 f a) Source #

mapM :: Monad m => (a -> m b) -> Rec1 f a -> m (Rec1 f b) Source #

sequence :: Monad m => Rec1 f (m a) -> m (Rec1 f a) Source #

Alternative f => Alternative (Ap f) Source #

Since: base-4.12.0.0

Instance details

Defined in Data.Monoid

Methods

empty :: Ap f a Source #

(<|>) :: Ap f a -> Ap f a -> Ap f a Source #

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

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

Alternative f => Alternative (Alt f) Source #

Since: base-4.8.0.0

Instance details

Defined in Data.Semigroup.Internal

Methods

empty :: Alt f a Source #

(<|>) :: Alt f a -> Alt f a -> Alt f a Source #

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

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

(Generic1 f, Alternative (Rep1 f)) => Alternative (Generically1 f) Source #

Since: base-4.17.0.0

Instance details

Defined in GHC.Generics

Alternative f => Alternative (Rec1 f) Source #

Since: base-4.9.0.0

Instance details

Defined in GHC.Generics

Methods

empty :: Rec1 f a Source #

(<|>) :: Rec1 f a -> Rec1 f a -> Rec1 f a Source #

some :: Rec1 f a -> Rec1 f [a] Source #

many :: Rec1 f a -> Rec1 f [a] Source #

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

Since: base-2.0.1

Instance details

Defined in Data.Functor.Const

Methods

pure :: a -> Const m a Source #

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

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

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

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

Applicative f => Applicative (Ap f) Source #

Since: base-4.12.0.0

Instance details

Defined in Data.Monoid

Methods

pure :: a -> Ap f a Source #

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

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

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

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

Applicative f => Applicative (Alt f) Source #

Since: base-4.8.0.0

Instance details

Defined in Data.Semigroup.Internal

Methods

pure :: a -> Alt f a Source #

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

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

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

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

(Generic1 f, Applicative (Rep1 f)) => Applicative (Generically1 f) Source #

Since: base-4.17.0.0

Instance details

Defined in GHC.Generics

Methods

pure :: a -> Generically1 f a Source #

(<*>) :: Generically1 f (a -> b) -> Generically1 f a -> Generically1 f b Source #

liftA2 :: (a -> b -> c) -> Generically1 f a -> Generically1 f b -> Generically1 f c Source #

(*>) :: Generically1 f a -> Generically1 f b -> Generically1 f b Source #

(<*) :: Generically1 f a -> Generically1 f b -> Generically1 f a Source #

Applicative f => Applicative (Rec1 f) Source #

Since: base-4.9.0.0

Instance details

Defined in GHC.Generics

Methods

pure :: a -> Rec1 f a Source #

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

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

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

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

Functor (Const m :: Type -> Type) Source #

Since: base-2.1

Instance details

Defined in Data.Functor.Const

Methods

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

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

Functor f => Functor (Ap f) Source #

Since: base-4.12.0.0

Instance details

Defined in Data.Monoid

Methods

fmap :: (a -> b) -> Ap f a -> Ap f b Source #

(<$) :: a -> Ap f b -> Ap f a Source #

Functor f => Functor (Alt f) Source #

Since: base-4.8.0.0

Instance details

Defined in Data.Semigroup.Internal

Methods

fmap :: (a -> b) -> Alt f a -> Alt f b Source #

(<$) :: a -> Alt f b -> Alt f a Source #

(Generic1 f, Functor (Rep1 f)) => Functor (Generically1 f) Source #

Since: base-4.17.0.0

Instance details

Defined in GHC.Generics

Methods

fmap :: (a -> b) -> Generically1 f a -> Generically1 f b Source #

(<$) :: a -> Generically1 f b -> Generically1 f a Source #

Functor f => Functor (Rec1 f) Source #

Since: base-4.9.0.0

Instance details

Defined in GHC.Generics

Methods

fmap :: (a -> b) -> Rec1 f a -> Rec1 f b Source #

(<$) :: a -> Rec1 f b -> Rec1 f a Source #

Functor (URec (Ptr ()) :: Type -> Type) Source #

Since: base-4.9.0.0

Instance details

Defined in GHC.Generics

Methods

fmap :: (a -> b) -> URec (Ptr ()) a -> URec (Ptr ()) b Source #

(<$) :: a -> URec (Ptr ()) b -> URec (Ptr ()) a Source #

Functor (URec Char :: Type -> Type) Source #

Since: base-4.9.0.0

Instance details

Defined in GHC.Generics

Methods

fmap :: (a -> b) -> URec Char a -> URec Char b Source #

(<$) :: a -> URec Char b -> URec Char a Source #

Functor (URec Double :: Type -> Type) Source #

Since: base-4.9.0.0

Instance details

Defined in GHC.Generics

Methods

fmap :: (a -> b) -> URec Double a -> URec Double b Source #

(<$) :: a -> URec Double b -> URec Double a Source #

Functor (URec Float :: Type -> Type) Source #

Since: base-4.9.0.0

Instance details

Defined in GHC.Generics

Methods

fmap :: (a -> b) -> URec Float a -> URec Float b Source #

(<$) :: a -> URec Float b -> URec Float a Source #

Functor (URec Int :: Type -> Type) Source #

Since: base-4.9.0.0

Instance details

Defined in GHC.Generics

Methods

fmap :: (a -> b) -> URec Int a -> URec Int b Source #

(<$) :: a -> URec Int b -> URec Int a Source #

Functor (URec Word :: Type -> Type) Source #

Since: base-4.9.0.0

Instance details

Defined in GHC.Generics

Methods

fmap :: (a -> b) -> URec Word a -> URec Word b Source #

(<$) :: a -> URec Word b -> URec Word a Source #

Monad f => Monad (Ap f) Source #

Since: base-4.12.0.0

Instance details

Defined in Data.Monoid

Methods

(>>=) :: Ap f a -> (a -> Ap f b) -> Ap f b Source #

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

return :: a -> Ap f a Source #

Monad f => Monad (Alt f) Source #

Since: base-4.8.0.0

Instance details

Defined in Data.Semigroup.Internal

Methods

(>>=) :: Alt f a -> (a -> Alt f b) -> Alt f b Source #

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

return :: a -> Alt f a Source #

Monad f => Monad (Rec1 f) Source #

Since: base-4.9.0.0

Instance details

Defined in GHC.Generics

Methods

(>>=) :: Rec1 f a -> (a -> Rec1 f b) -> Rec1 f b Source #

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

return :: a -> Rec1 f a Source #

MonadPlus f => MonadPlus (Ap f) Source #

Since: base-4.12.0.0

Instance details

Defined in Data.Monoid

Methods

mzero :: Ap f a Source #

mplus :: Ap f a -> Ap f a -> Ap f a Source #

MonadPlus f => MonadPlus (Alt f) Source #

Since: base-4.8.0.0

Instance details

Defined in Data.Semigroup.Internal

Methods

mzero :: Alt f a Source #

mplus :: Alt f a -> Alt f a -> Alt f a Source #

MonadPlus f => MonadPlus (Rec1 f) Source #

Since: base-4.9.0.0

Instance details

Defined in GHC.Generics

Methods

mzero :: Rec1 f a Source #

mplus :: Rec1 f a -> Rec1 f a -> Rec1 f a Source #

(MonadFix f, MonadFix g) => MonadFix (Product f g) Source #

Since: base-4.9.0.0

Instance details

Defined in Data.Functor.Product

Methods

mfix :: (a -> Product f g a) -> Product f g a Source #

(MonadFix f, MonadFix g) => MonadFix (f :*: g) Source #

Since: base-4.9.0.0

Instance details

Defined in Control.Monad.Fix

Methods

mfix :: (a -> (f :*: g) a) -> (f :*: g) a Source #

(MonadZip f, MonadZip g) => MonadZip (Product f g) Source #

Since: base-4.9.0.0

Instance details

Defined in Data.Functor.Product

Methods

mzip :: Product f g a -> Product f g b -> Product f g (a, b) Source #

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

munzip :: Product f g (a, b) -> (Product f g a, Product f g b) Source #

(MonadZip f, MonadZip g) => MonadZip (f :*: g) Source #

Since: base-4.9.0.0

Instance details

Defined in Control.Monad.Zip

Methods

mzip :: (f :*: g) a -> (f :*: g) b -> (f :*: g) (a, b) Source #

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

munzip :: (f :*: g) (a, b) -> ((f :*: g) a, (f :*: g) b) Source #

(Data (f a), Data a, Typeable f) => Data (Ap f a) Source #

Since: base-4.12.0.0

Instance details

Defined in Data.Data

Methods

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

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

toConstr :: Ap f a -> Constr Source #

dataTypeOf :: Ap f a -> DataType Source #

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

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

gmapT :: (forall b. Data b => b -> b) -> Ap f a -> Ap f a Source #

gmapQl :: (r -> r' -> r) -> r -> (forall d. Data d => d -> r') -> Ap f a -> r Source #

gmapQr :: forall r r'. (r' -> r -> r) -> r -> (forall d. Data d => d -> r') -> Ap f a -> r Source #

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

gmapQi :: Int -> (forall d. Data d => d -> u) -> Ap f a -> u Source #

gmapM :: Monad m => (forall d. Data d => d -> m d) -> Ap f a -> m (Ap f a) Source #

gmapMp :: MonadPlus m => (forall d. Data d => d -> m d) -> Ap f a -> m (Ap f a) Source #

gmapMo :: MonadPlus m => (forall d. Data d => d -> m d) -> Ap f a -> m (Ap f a) Source #

(Data (f a), Data a, Typeable f) => Data (Alt f a) Source #

Since: base-4.8.0.0

Instance details

Defined in Data.Data

Methods

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

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

toConstr :: Alt f a -> Constr Source #

dataTypeOf :: Alt f a -> DataType Source #

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

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

gmapT :: (forall b. Data b => b -> b) -> Alt f a -> Alt f a Source #

gmapQl :: (r -> r' -> r) -> r -> (forall d. Data d => d -> r') -> Alt f a -> r Source #

gmapQr :: forall r r'. (r' -> r -> r) -> r -> (forall d. Data d => d -> r') -> Alt f a -> r Source #

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

gmapQi :: Int -> (forall d. Data d => d -> u) -> Alt f a -> u Source #

gmapM :: Monad m => (forall d. Data d => d -> m d) -> Alt f a -> m (Alt f a) Source #

gmapMp :: MonadPlus m => (forall d. Data d => d -> m d) -> Alt f a -> m (Alt f a) Source #

gmapMo :: MonadPlus m => (forall d. Data d => d -> m d) -> Alt f a -> m (Alt f a) Source #

(Coercible a b, Data a, Data b) => Data (Coercion a b) Source #

Since: base-4.7.0.0

Instance details

Defined in Data.Data

Methods

gfoldl :: (forall d b0. Data d => c (d -> b0) -> d -> c b0) -> (forall g. g -> c g) -> Coercion a b -> c (Coercion a b) Source #

gunfold :: (forall b0 r. Data b0 => c (b0 -> r) -> c r) -> (forall r. r -> c r) -> Constr -> c (Coercion a b) Source #

toConstr :: Coercion a b -> Constr Source #

dataTypeOf :: Coercion a b -> DataType Source #

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

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

gmapT :: (forall b0. Data b0 => b0 -> b0) -> Coercion a b -> Coercion a b Source #

gmapQl :: (r -> r' -> r) -> r -> (forall d. Data d => d -> r') -> Coercion a b -> r Source #

gmapQr :: forall r r'. (r' -> r -> r) -> r -> (forall d. Data d => d -> r') -> Coercion a b -> r Source #

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

gmapQi :: Int -> (forall d. Data d => d -> u) -> Coercion a b -> u Source #

gmapM :: Monad m => (forall d. Data d => d -> m d) -> Coercion a b -> m (Coercion a b) Source #

gmapMp :: MonadPlus m => (forall d. Data d => d -> m d) -> Coercion a b -> m (Coercion a b) Source #

gmapMo :: MonadPlus m => (forall d. Data d => d -> m d) -> Coercion a b -> m (Coercion a b) Source #

(a ~ b, Data a) => Data (a :~: b) Source #

Since: base-4.7.0.0

Instance details

Defined in Data.Data

Methods

gfoldl :: (forall d b0. Data d => c (d -> b0) -> d -> c b0) -> (forall g. g -> c g) -> (a :~: b) -> c (a :~: b) Source #

gunfold :: (forall b0 r. Data b0 => c (b0 -> r) -> c r) -> (forall r. r -> c r) -> Constr -> c (a :~: b) Source #

toConstr :: (a :~: b) -> Constr Source #

dataTypeOf :: (a :~: b) -> DataType Source #

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

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

gmapT :: (forall b0. Data b0 => b0 -> b0) -> (a :~: b) -> a :~: b Source #

gmapQl :: (r -> r' -> r) -> r -> (forall d. Data d => d -> r') -> (a :~: b) -> r Source #

gmapQr :: forall r r'. (r' -> r -> r) -> r -> (forall d. Data d => d -> r') -> (a :~: b) -> r Source #

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

gmapQi :: Int -> (forall d. Data d => d -> u) -> (a :~: b) -> u Source #

gmapM :: Monad m => (forall d. Data d => d -> m d) -> (a :~: b) -> m (a :~: b) Source #

gmapMp :: MonadPlus m => (forall d. Data d => d -> m d) -> (a :~: b) -> m (a :~: b) Source #

gmapMo :: MonadPlus m => (forall d. Data d => d -> m d) -> (a :~: b) -> m (a :~: b) Source #

(Data (f p), Typeable f, Data p) => Data (Rec1 f p) Source #

Since: base-4.9.0.0

Instance details

Defined in Data.Data

Methods

gfoldl :: (forall d b. Data d => c (d -> b) -> d -> c b) -> (forall g. g -> c g) -> Rec1 f p -> c (Rec1 f p) Source #

gunfold :: (forall b r. Data b => c (b -> r) -> c r) -> (forall r. r -> c r) -> Constr -> c (Rec1 f p) Source #

toConstr :: Rec1 f p -> Constr Source #

dataTypeOf :: Rec1 f p -> DataType Source #

dataCast1 :: Typeable t => (forall d. Data d => c (t d)) -> Maybe (c (Rec1 f p)) Source #

dataCast2 :: Typeable t => (forall d e. (Data d, Data e) => c (t d e)) -> Maybe (c (Rec1 f p)) Source #

gmapT :: (forall b. Data b => b -> b) -> Rec1 f p -> Rec1 f p Source #

gmapQl :: (r -> r' -> r) -> r -> (forall d. Data d => d -> r') -> Rec1 f p -> r Source #

gmapQr :: forall r r'. (r' -> r -> r) -> r -> (forall d. Data d => d -> r') -> Rec1 f p -> r Source #

gmapQ :: (forall d. Data d => d -> u) -> Rec1 f p -> [u] Source #

gmapQi :: Int -> (forall d. Data d => d -> u) -> Rec1 f p -> u Source #

gmapM :: Monad m => (forall d. Data d => d -> m d) -> Rec1 f p -> m (Rec1 f p) Source #

gmapMp :: MonadPlus m => (forall d. Data d => d -> m d) -> Rec1 f p -> m (Rec1 f p) Source #

gmapMo :: MonadPlus m => (forall d. Data d => d -> m d) -> Rec1 f p -> m (Rec1 f p) Source #

(Foldable f, Foldable g) => Foldable (Product f g) Source #

Since: base-4.9.0.0

Instance details

Defined in Data.Functor.Product

Methods

fold :: Monoid m => Product f g m -> m Source #

foldMap :: Monoid m => (a -> m) -> Product f g a -> m Source #

foldMap' :: Monoid m => (a -> m) -> Product f g a -> m Source #

foldr :: (a -> b -> b) -> b -> Product f g a -> b Source #

foldr' :: (a -> b -> b) -> b -> Product f g a -> b Source #

foldl :: (b -> a -> b) -> b -> Product f g a -> b Source #

foldl' :: (b -> a -> b) -> b -> Product f g a -> b Source #

foldr1 :: (a -> a -> a) -> Product f g a -> a Source #

foldl1 :: (a -> a -> a) -> Product f g a -> a Source #

toList :: Product f g a -> [a] Source #

null :: Product f g a -> Bool Source #

length :: Product f g a -> Int Source #

elem :: Eq a => a -> Product f g a -> Bool Source #

maximum :: Ord a => Product f g a -> a Source #

minimum :: Ord a => Product f g a -> a Source #

sum :: Num a => Product f g a -> a Source #

product :: Num a => Product f g a -> a Source #

(Foldable f, Foldable g) => Foldable (Sum f g) Source #

Since: base-4.9.0.0

Instance details

Defined in Data.Functor.Sum

Methods

fold :: Monoid m => Sum f g m -> m Source #

foldMap :: Monoid m => (a -> m) -> Sum f g a -> m Source #

foldMap' :: Monoid m => (a -> m) -> Sum f g a -> m Source #

foldr :: (a -> b -> b) -> b -> Sum f g a -> b Source #

foldr' :: (a -> b -> b) -> b -> Sum f g a -> b Source #

foldl :: (b -> a -> b) -> b -> Sum f g a -> b Source #

foldl' :: (b -> a -> b) -> b -> Sum f g a -> b Source #

foldr1 :: (a -> a -> a) -> Sum f g a -> a Source #

foldl1 :: (a -> a -> a) -> Sum f g a -> a Source #

toList :: Sum f g a -> [a] Source #

null :: Sum f g a -> Bool Source #

length :: Sum f g a -> Int Source #

elem :: Eq a => a -> Sum f g a -> Bool Source #

maximum :: Ord a => Sum f g a -> a Source #

minimum :: Ord a => Sum f g a -> a Source #

sum :: Num a => Sum f g a -> a Source #

product :: Num a => Sum f g a -> a Source #

(Foldable f, Foldable g) => Foldable (f :*: g) Source #

Since: base-4.9.0.0

Instance details

Defined in Data.Foldable

Methods

fold :: Monoid m => (f :*: g) m -> m Source #

foldMap :: Monoid m => (a -> m) -> (f :*: g) a -> m Source #

foldMap' :: Monoid m => (a -> m) -> (f :*: g) a -> m Source #

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

foldr' :: (a -> b -> b) -> b -> (f :*: g) a -> b Source #

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

foldl' :: (b -> a -> b) -> b -> (f :*: g) a -> b Source #

foldr1 :: (a -> a -> a) -> (f :*: g) a -> a Source #

foldl1 :: (a -> a -> a) -> (f :*: g) a -> a Source #

toList :: (f :*: g) a -> [a] Source #

null :: (f :*: g) a -> Bool Source #

length :: (f :*: g) a -> Int Source #

elem :: Eq a => a -> (f :*: g) a -> Bool Source #

maximum :: Ord a => (f :*: g) a -> a Source #

minimum :: Ord a => (f :*: g) a -> a Source #

sum :: Num a => (f :*: g) a -> a Source #

product :: Num a => (f :*: g) a -> a Source #

(Foldable f, Foldable g) => Foldable (f :+: g) Source #

Since: base-4.9.0.0

Instance details

Defined in Data.Foldable

Methods

fold :: Monoid m => (f :+: g) m -> m Source #

foldMap :: Monoid m => (a -> m) -> (f :+: g) a -> m Source #

foldMap' :: Monoid m => (a -> m) -> (f :+: g) a -> m Source #

foldr :: (a -> b -> b) -> b -> (f :+: g) a -> b Source #

foldr' :: (a -> b -> b) -> b -> (f :+: g) a -> b Source #

foldl :: (b -> a -> b) -> b -> (f :+: g) a -> b Source #

foldl' :: (b -> a -> b) -> b -> (f :+: g) a -> b Source #

foldr1 :: (a -> a -> a) -> (f :+: g) a -> a Source #

foldl1 :: (a -> a -> a) -> (f :+: g) a -> a Source #

toList :: (f :+: g) a -> [a] Source #

null :: (f :+: g) a -> Bool Source #

length :: (f :+: g) a -> Int Source #

elem :: Eq a => a -> (f :+: g) a -> Bool Source #

maximum :: Ord a => (f :+: g) a -> a Source #

minimum :: Ord a => (f :+: g) a -> a Source #

sum :: Num a => (f :+: g) a -> a Source #

product :: Num a => (f :+: g) a -> a Source #

Foldable (K1 i c :: Type -> Type) Source #

Since: base-4.9.0.0

Instance details

Defined in Data.Foldable

Methods

fold :: Monoid m => K1 i c m -> m Source #

foldMap :: Monoid m => (a -> m) -> K1 i c a -> m Source #

foldMap' :: Monoid m => (a -> m) -> K1 i c a -> m Source #

foldr :: (a -> b -> b) -> b -> K1 i c a -> b Source #

foldr' :: (a -> b -> b) -> b -> K1 i c a -> b Source #

foldl :: (b -> a -> b) -> b -> K1 i c a -> b Source #

foldl' :: (b -> a -> b) -> b -> K1 i c a -> b Source #

foldr1 :: (a -> a -> a) -> K1 i c a -> a Source #

foldl1 :: (a -> a -> a) -> K1 i c a -> a Source #

toList :: K1 i c a -> [a] Source #

null :: K1 i c a -> Bool Source #

length :: K1 i c a -> Int Source #

elem :: Eq a => a -> K1 i c a -> Bool Source #

maximum :: Ord a => K1 i c a -> a Source #

minimum :: Ord a => K1 i c a -> a Source #

sum :: Num a => K1 i c a -> a Source #

product :: Num a => K1 i c a -> a Source #

(Foldable1 f, Foldable1 g) => Foldable1 (Product f g) Source #

It would be enough for either half of a product to be Foldable1. Other could be Foldable.

Instance details

Defined in Data.Foldable1

Methods

fold1 :: Semigroup m => Product f g m -> m Source #

foldMap1 :: Semigroup m => (a -> m) -> Product f g a -> m Source #

foldMap1' :: Semigroup m => (a -> m) -> Product f g a -> m Source #

toNonEmpty :: Product f g a -> NonEmpty a Source #

maximum :: Ord a => Product f g a -> a Source #

minimum :: Ord a => Product f g a -> a Source #

head :: Product f g a -> a Source #

last :: Product f g a -> a Source #

foldrMap1 :: (a -> b) -> (a -> b -> b) -> Product f g a -> b Source #

foldlMap1' :: (a -> b) -> (b -> a -> b) -> Product f g a -> b Source #

foldlMap1 :: (a -> b) -> (b -> a -> b) -> Product f g a -> b Source #

foldrMap1' :: (a -> b) -> (a -> b -> b) -> Product f g a -> b Source #

(Foldable1 f, Foldable1 g) => Foldable1 (Sum f g) Source #

Since: base-4.18.0.0

Instance details

Defined in Data.Foldable1

Methods

fold1 :: Semigroup m => Sum f g m -> m Source #

foldMap1 :: Semigroup m => (a -> m) -> Sum f g a -> m Source #

foldMap1' :: Semigroup m => (a -> m) -> Sum f g a -> m Source #

toNonEmpty :: Sum f g a -> NonEmpty a Source #

maximum :: Ord a => Sum f g a -> a Source #

minimum :: Ord a => Sum f g a -> a Source #

head :: Sum f g a -> a Source #

last :: Sum f g a -> a Source #

foldrMap1 :: (a -> b) -> (a -> b -> b) -> Sum f g a -> b Source #

foldlMap1' :: (a -> b) -> (b -> a -> b) -> Sum f g a -> b Source #

foldlMap1 :: (a -> b) -> (b -> a -> b) -> Sum f g a -> b Source #

foldrMap1' :: (a -> b) -> (a -> b -> b) -> Sum f g a -> b Source #

(Foldable1 f, Foldable1 g) => Foldable1 (f :*: g) Source #

Since: base-4.18.0.0

Instance details

Defined in Data.Foldable1

Methods

fold1 :: Semigroup m => (f :*: g) m -> m Source #

foldMap1 :: Semigroup m => (a -> m) -> (f :*: g) a -> m Source #

foldMap1' :: Semigroup m => (a -> m) -> (f :*: g) a -> m Source #

toNonEmpty :: (f :*: g) a -> NonEmpty a Source #

maximum :: Ord a => (f :*: g) a -> a Source #

minimum :: Ord a => (f :*: g) a -> a Source #

head :: (f :*: g) a -> a Source #

last :: (f :*: g) a -> a Source #

foldrMap1 :: (a -> b) -> (a -> b -> b) -> (f :*: g) a -> b Source #

foldlMap1' :: (a -> b) -> (b -> a -> b) -> (f :*: g) a -> b Source #

foldlMap1 :: (a -> b) -> (b -> a -> b) -> (f :*: g) a -> b Source #

foldrMap1' :: (a -> b) -> (a -> b -> b) -> (f :*: g) a -> b Source #

(Foldable1 f, Foldable1 g) => Foldable1 (f :+: g) Source #

Since: base-4.18.0.0

Instance details

Defined in Data.Foldable1

Methods

fold1 :: Semigroup m => (f :+: g) m -> m Source #

foldMap1 :: Semigroup m => (a -> m) -> (f :+: g) a -> m Source #

foldMap1' :: Semigroup m => (a -> m) -> (f :+: g) a -> m Source #

toNonEmpty :: (f :+: g) a -> NonEmpty a Source #

maximum :: Ord a => (f :+: g) a -> a Source #

minimum :: Ord a => (f :+: g) a -> a Source #

head :: (f :+: g) a -> a Source #

last :: (f :+: g) a -> a Source #

foldrMap1 :: (a -> b) -> (a -> b -> b) -> (f :+: g) a -> b Source #

foldlMap1' :: (a -> b) -> (b -> a -> b) -> (f :+: g) a -> b Source #

foldlMap1 :: (a -> b) -> (b -> a -> b) -> (f :+: g) a -> b Source #

foldrMap1' :: (a -> b) -> (a -> b -> b) -> (f :+: g) a -> b Source #

(Eq1 f, Eq1 g) => Eq1 (Product f g) Source #

Since: base-4.9.0.0

Instance details

Defined in Data.Functor.Product

Methods

liftEq :: (a -> b -> Bool) -> Product f g a -> Product f g b -> Bool Source #

(Eq1 f, Eq1 g) => Eq1 (Sum f g) Source #

Since: base-4.9.0.0

Instance details

Defined in Data.Functor.Sum

Methods

liftEq :: (a -> b -> Bool) -> Sum f g a -> Sum f g b -> Bool Source #

(Ord1 f, Ord1 g) => Ord1 (Product f g) Source #

Since: base-4.9.0.0

Instance details

Defined in Data.Functor.Product

Methods

liftCompare :: (a -> b -> Ordering) -> Product f g a -> Product f g b -> Ordering Source #

(Ord1 f, Ord1 g) => Ord1 (Sum f g) Source #

Since: base-4.9.0.0

Instance details

Defined in Data.Functor.Sum

Methods

liftCompare :: (a -> b -> Ordering) -> Sum f g a -> Sum f g b -> Ordering Source #

(Read1 f, Read1 g) => Read1 (Product f g) Source #

Since: base-4.9.0.0

Instance details

Defined in Data.Functor.Product

Methods

liftReadsPrec :: (Int -> ReadS a) -> ReadS [a] -> Int -> ReadS (Product f g a) Source #

liftReadList :: (Int -> ReadS a) -> ReadS [a] -> ReadS [Product f g a] Source #

liftReadPrec :: ReadPrec a -> ReadPrec [a] -> ReadPrec (Product f g a) Source #

liftReadListPrec :: ReadPrec a -> ReadPrec [a] -> ReadPrec [Product f g a] Source #

(Read1 f, Read1 g) => Read1 (Sum f g) Source #

Since: base-4.9.0.0

Instance details

Defined in Data.Functor.Sum

Methods

liftReadsPrec :: (Int -> ReadS a) -> ReadS [a] -> Int -> ReadS (Sum f g a) Source #

liftReadList :: (Int -> ReadS a) -> ReadS [a] -> ReadS [Sum f g a] Source #

liftReadPrec :: ReadPrec a -> ReadPrec [a] -> ReadPrec (Sum f g a) Source #

liftReadListPrec :: ReadPrec a -> ReadPrec [a] -> ReadPrec [Sum f g a] Source #

(Show1 f, Show1 g) => Show1 (Product f g) Source #

Since: base-4.9.0.0

Instance details

Defined in Data.Functor.Product

Methods

liftShowsPrec :: (Int -> a -> ShowS) -> ([a] -> ShowS) -> Int -> Product f g a -> ShowS Source #

liftShowList :: (Int -> a -> ShowS) -> ([a] -> ShowS) -> [Product f g a] -> ShowS Source #

(Show1 f, Show1 g) => Show1 (Sum f g) Source #

Since: base-4.9.0.0

Instance details

Defined in Data.Functor.Sum

Methods

liftShowsPrec :: (Int -> a -> ShowS) -> ([a] -> ShowS) -> Int -> Sum f g a -> ShowS Source #

liftShowList :: (Int -> a -> ShowS) -> ([a] -> ShowS) -> [Sum f g a] -> ShowS Source #

(Contravariant f, Contravariant g) => Contravariant (Product f g) Source # 
Instance details

Defined in Data.Functor.Contravariant

Methods

contramap :: (a' -> a) -> Product f g a -> Product f g a' Source #

(>$) :: b -> Product f g b -> Product f g a Source #

(Contravariant f, Contravariant g) => Contravariant (Sum f g) Source # 
Instance details

Defined in Data.Functor.Contravariant

Methods

contramap :: (a' -> a) -> Sum f g a -> Sum f g a' Source #

(>$) :: b -> Sum f g b -> Sum f g a Source #

(Contravariant f, Contravariant g) => Contravariant (f :*: g) Source # 
Instance details

Defined in Data.Functor.Contravariant

Methods

contramap :: (a' -> a) -> (f :*: g) a -> (f :*: g) a' Source #

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

(Contravariant f, Contravariant g) => Contravariant (f :+: g) Source # 
Instance details

Defined in Data.Functor.Contravariant

Methods

contramap :: (a' -> a) -> (f :+: g) a -> (f :+: g) a' Source #

(>$) :: b -> (f :+: g) b -> (f :+: g) a Source #

Contravariant (K1 i c :: Type -> Type) Source # 
Instance details

Defined in Data.Functor.Contravariant

Methods

contramap :: (a' -> a) -> K1 i c a -> K1 i c a' Source #

(>$) :: b -> K1 i c b -> K1 i c a Source #

(Traversable f, Traversable g) => Traversable (Product f g) Source #

Since: base-4.9.0.0

Instance details

Defined in Data.Functor.Product

Methods

traverse :: Applicative f0 => (a -> f0 b) -> Product f g a -> f0 (Product f g b) Source #

sequenceA :: Applicative f0 => Product f g (f0 a) -> f0 (Product f g a) Source #

mapM :: Monad m => (a -> m b) -> Product f g a -> m (Product f g b) Source #

sequence :: Monad m => Product f g (m a) -> m (Product f g a) Source #

(Traversable f, Traversable g) => Traversable (Sum f g) Source #

Since: base-4.9.0.0

Instance details

Defined in Data.Functor.Sum

Methods

traverse :: Applicative f0 => (a -> f0 b) -> Sum f g a -> f0 (Sum f g b) Source #

sequenceA :: Applicative f0 => Sum f g (f0 a) -> f0 (Sum f g a) Source #

mapM :: Monad m => (a -> m b) -> Sum f g a -> m (Sum f g b) Source #

sequence :: Monad m => Sum f g (m a) -> m (Sum f g a) Source #

(Traversable f, Traversable g) => Traversable (f :*: g) Source #

Since: base-4.9.0.0

Instance details

Defined in Data.Traversable

Methods

traverse :: Applicative f0 => (a -> f0 b) -> (f :*: g) a -> f0 ((f :*: g) b) Source #

sequenceA :: Applicative f0 => (f :*: g) (f0 a) -> f0 ((f :*: g) a) Source #

mapM :: Monad m => (a -> m b) -> (f :*: g) a -> m ((f :*: g) b) Source #

sequence :: Monad m => (f :*: g) (m a) -> m ((f :*: g) a) Source #

(Traversable f, Traversable g) => Traversable (f :+: g) Source #

Since: base-4.9.0.0

Instance details

Defined in Data.Traversable

Methods

traverse :: Applicative f0 => (a -> f0 b) -> (f :+: g) a -> f0 ((f :+: g) b) Source #

sequenceA :: Applicative f0 => (f :+: g) (f0 a) -> f0 ((f :+: g) a) Source #

mapM :: Monad m => (a -> m b) -> (f :+: g) a -> m ((f :+: g) b) Source #

sequence :: Monad m => (f :+: g) (m a) -> m ((f :+: g) a) Source #

Traversable (K1 i c :: Type -> Type) Source #

Since: base-4.9.0.0

Instance details

Defined in Data.Traversable

Methods

traverse :: Applicative f => (a -> f b) -> K1 i c a -> f (K1 i c b) Source #

sequenceA :: Applicative f => K1 i c (f a) -> f (K1 i c a) Source #

mapM :: Monad m => (a -> m b) -> K1 i c a -> m (K1 i c b) Source #

sequence :: Monad m => K1 i c (m a) -> m (K1 i c a) Source #

(Alternative f, Alternative g) => Alternative (Product f g) Source #

Since: base-4.9.0.0

Instance details

Defined in Data.Functor.Product

Methods

empty :: Product f g a Source #

(<|>) :: Product f g a -> Product f g a -> Product f g a Source #

some :: Product f g a -> Product f g [a] Source #

many :: Product f g a -> Product f g [a] Source #

(Alternative f, Alternative g) => Alternative (f :*: g) Source #

Since: base-4.9.0.0

Instance details

Defined in GHC.Generics

Methods

empty :: (f :*: g) a Source #

(<|>) :: (f :*: g) a -> (f :*: g) a -> (f :*: g) a Source #

some :: (f :*: g) a -> (f :*: g) [a] Source #

many :: (f :*: g) a -> (f :*: g) [a] Source #

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

Since: base-4.9.0.0

Instance details

Defined in Data.Functor.Product

Methods

pure :: a -> Product f g a Source #

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

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

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

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

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

Since: base-4.9.0.0

Instance details

Defined in GHC.Generics

Methods

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

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

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

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

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

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

Since: base-4.12.0.0

Instance details

Defined in GHC.Generics

Methods

pure :: a -> K1 i c a Source #

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

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

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

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

(Functor f, Functor g) => Functor (Product f g) Source #

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 Source #

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

(Functor f, Functor g) => Functor (Sum f g) Source #

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 Source #

(<$) :: a -> Sum f g b -> Sum f g a Source #

(Functor f, Functor g) => Functor (f :*: g) Source #

Since: base-4.9.0.0

Instance details

Defined in GHC.Generics

Methods

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

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

(Functor f, Functor g) => Functor (f :+: g) Source #

Since: base-4.9.0.0

Instance details

Defined in GHC.Generics

Methods

fmap :: (a -> b) -> (f :+: g) a -> (f :+: g) b Source #

(<$) :: a -> (f :+: g) b -> (f :+: g) a Source #

Functor (K1 i c :: Type -> Type) Source #

Since: base-4.9.0.0

Instance details

Defined in GHC.Generics

Methods

fmap :: (a -> b) -> K1 i c a -> K1 i c b Source #

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

(Monad f, Monad g) => Monad (Product f g) Source #

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 Source #

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

return :: a -> Product f g a Source #

(Monad f, Monad g) => Monad (f :*: g) Source #

Since: base-4.9.0.0

Instance details

Defined in GHC.Generics

Methods

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

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

return :: a -> (f :*: g) a Source #

(MonadPlus f, MonadPlus g) => MonadPlus (Product f g) Source #

Since: base-4.9.0.0

Instance details

Defined in Data.Functor.Product

Methods

mzero :: Product f g a Source #

mplus :: Product f g a -> Product f g a -> Product f g a Source #

(MonadPlus f, MonadPlus g) => MonadPlus (f :*: g) Source #

Since: base-4.9.0.0

Instance details

Defined in GHC.Generics

Methods

mzero :: (f :*: g) a Source #

mplus :: (f :*: g) a -> (f :*: g) a -> (f :*: g) a Source #

(Applicative f, Monoid a) => Monoid (Ap f a) Source #

Since: base-4.12.0.0

Instance details

Defined in Data.Monoid

Methods

mempty :: Ap f a Source #

mappend :: Ap f a -> Ap f a -> Ap f a Source #

mconcat :: [Ap f a] -> Ap f a Source #

Alternative f => Monoid (Alt f a) Source #

Since: base-4.8.0.0

Instance details

Defined in Data.Semigroup.Internal

Methods

mempty :: Alt f a Source #

mappend :: Alt f a -> Alt f a -> Alt f a Source #

mconcat :: [Alt f a] -> Alt f a Source #

(Applicative f, Semigroup a) => Semigroup (Ap f a) Source #

Since: base-4.12.0.0

Instance details

Defined in Data.Monoid

Methods

(<>) :: Ap f a -> Ap f a -> Ap f a Source #

sconcat :: NonEmpty (Ap f a) -> Ap f a Source #

stimes :: Integral b => b -> Ap f a -> Ap f a Source #

Alternative f => Semigroup (Alt f a) Source #

Since: base-4.9.0.0

Instance details

Defined in Data.Semigroup.Internal

Methods

(<>) :: Alt f a -> Alt f a -> Alt f a Source #

sconcat :: NonEmpty (Alt f a) -> Alt f a Source #

stimes :: Integral b => b -> Alt f a -> Alt f a Source #

(Applicative f, Bounded a) => Bounded (Ap f a) Source #

Since: base-4.12.0.0

Instance details

Defined in Data.Monoid

Methods

minBound :: Ap f a Source #

maxBound :: Ap f a Source #

(Applicative f, Num a) => Num (Ap f a) Source #

Note that even if the underlying Num and Applicative instances are lawful, for most Applicatives, this instance will not be lawful. If you use this instance with the list Applicative, the following customary laws will not hold:

Commutativity:

>>> Ap [10,20] + Ap [1,2]
Ap {getAp = [11,12,21,22]}
>>> Ap [1,2] + Ap [10,20]
Ap {getAp = [11,21,12,22]}

Additive inverse:

>>> Ap [] + negate (Ap [])
Ap {getAp = []}
>>> fromInteger 0 :: Ap [] Int
Ap {getAp = [0]}

Distributivity:

>>> Ap [1,2] * (3 + 4)
Ap {getAp = [7,14]}
>>> (Ap [1,2] * 3) + (Ap [1,2] * 4)
Ap {getAp = [7,11,10,14]}

Since: base-4.12.0.0

Instance details

Defined in Data.Monoid

Methods

(+) :: Ap f a -> Ap f a -> Ap f a Source #

(-) :: Ap f a -> Ap f a -> Ap f a Source #

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

negate :: Ap f a -> Ap f a Source #

abs :: Ap f a -> Ap f a Source #

signum :: Ap f a -> Ap f a Source #

fromInteger :: Integer -> Ap f a Source #

MonadFix f => MonadFix (M1 i c f) Source #

Since: base-4.9.0.0

Instance details

Defined in Control.Monad.Fix

Methods

mfix :: (a -> M1 i c f a) -> M1 i c f a Source #

MonadZip f => MonadZip (M1 i c f) Source #

Since: base-4.9.0.0

Instance details

Defined in Control.Monad.Zip

Methods

mzip :: M1 i c f a -> M1 i c f b -> M1 i c f (a, b) Source #

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

munzip :: M1 i c f (a, b) -> (M1 i c f a, M1 i c f b) Source #

(Typeable f, Typeable g, Data p, Data (f p), Data (g p)) => Data ((f :*: g) p) Source #

Since: base-4.9.0.0

Instance details

Defined in Data.Data

Methods

gfoldl :: (forall d b. Data d => c (d -> b) -> d -> c b) -> (forall g0. g0 -> c g0) -> (f :*: g) p -> c ((f :*: g) p) Source #

gunfold :: (forall b r. Data b => c (b -> r) -> c r) -> (forall r. r -> c r) -> Constr -> c ((f :*: g) p) Source #

toConstr :: (f :*: g) p -> Constr Source #

dataTypeOf :: (f :*: g) p -> DataType Source #

dataCast1 :: Typeable t => (forall d. Data d => c (t d)) -> Maybe (c ((f :*: g) p)) Source #

dataCast2 :: Typeable t => (forall d e. (Data d, Data e) => c (t d e)) -> Maybe (c ((f :*: g) p)) Source #

gmapT :: (forall b. Data b => b -> b) -> (f :*: g) p -> (f :*: g) p Source #

gmapQl :: (r -> r' -> r) -> r -> (forall d. Data d => d -> r') -> (f :*: g) p -> r Source #

gmapQr :: forall r r'. (r' -> r -> r) -> r -> (forall d. Data d => d -> r') -> (f :*: g) p -> r Source #

gmapQ :: (forall d. Data d => d -> u) -> (f :*: g) p -> [u] Source #

gmapQi :: Int -> (forall d. Data d => d -> u) -> (f :*: g) p -> u Source #

gmapM :: Monad m => (forall d. Data d => d -> m d) -> (f :*: g) p -> m ((f :*: g) p) Source #

gmapMp :: MonadPlus m => (forall d. Data d => d -> m d) -> (f :*: g) p -> m ((f :*: g) p) Source #

gmapMo :: MonadPlus m => (forall d. Data d => d -> m d) -> (f :*: g) p -> m ((f :*: g) p) Source #

(Typeable f, Typeable g, Data p, Data (f p), Data (g p)) => Data ((f :+: g) p) Source #

Since: base-4.9.0.0

Instance details

Defined in Data.Data

Methods

gfoldl :: (forall d b. Data d => c (d -> b) -> d -> c b) -> (forall g0. g0 -> c g0) -> (f :+: g) p -> c ((f :+: g) p) Source #

gunfold :: (forall b r. Data b => c (b -> r) -> c r) -> (forall r. r -> c r) -> Constr -> c ((f :+: g) p) Source #

toConstr :: (f :+: g) p -> Constr Source #

dataTypeOf :: (f :+: g) p -> DataType Source #

dataCast1 :: Typeable t => (forall d. Data d => c (t d)) -> Maybe (c ((f :+: g) p)) Source #

dataCast2 :: Typeable t => (forall d e. (Data d, Data e) => c (t d e)) -> Maybe (c ((f :+: g) p)) Source #

gmapT :: (forall b. Data b => b -> b) -> (f :+: g) p -> (f :+: g) p Source #

gmapQl :: (r -> r' -> r) -> r -> (forall d. Data d => d -> r') -> (f :+: g) p -> r Source #

gmapQr :: forall r r'. (r' -> r -> r) -> r -> (forall d. Data d => d -> r') -> (f :+: g) p -> r Source #

gmapQ :: (forall d. Data d => d -> u) -> (f :+: g) p -> [u] Source #

gmapQi :: Int -> (forall d. Data d => d -> u) -> (f :+: g) p -> u Source #

gmapM :: Monad m => (forall d. Data d => d -> m d) -> (f :+: g) p -> m ((f :+: g) p) Source #

gmapMp :: MonadPlus m => (forall d. Data d => d -> m d) -> (f :+: g) p -> m ((f :+: g) p) Source #

gmapMo :: MonadPlus m => (forall d. Data d => d -> m d) -> (f :+: g) p -> m ((f :+: g) p) Source #

(Typeable i, Data p, Data c) => Data (K1 i c p) Source #

Since: base-4.9.0.0

Instance details

Defined in Data.Data

Methods

gfoldl :: (forall d b. Data d => c0 (d -> b) -> d -> c0 b) -> (forall g. g -> c0 g) -> K1 i c p -> c0 (K1 i c p) Source #

gunfold :: (forall b r. Data b => c0 (b -> r) -> c0 r) -> (forall r. r -> c0 r) -> Constr -> c0 (K1 i c p) Source #

toConstr :: K1 i c p -> Constr Source #

dataTypeOf :: K1 i c p -> DataType Source #

dataCast1 :: Typeable t => (forall d. Data d => c0 (t d)) -> Maybe (c0 (K1 i c p)) Source #

dataCast2 :: Typeable t => (forall d e. (Data d, Data e) => c0 (t d e)) -> Maybe (c0 (K1 i c p)) Source #

gmapT :: (forall b. Data b => b -> b) -> K1 i c p -> K1 i c p Source #

gmapQl :: (r -> r' -> r) -> r -> (forall d. Data d => d -> r') -> K1 i c p -> r Source #

gmapQr :: forall r r'. (r' -> r -> r) -> r -> (forall d. Data d => d -> r') -> K1 i c p -> r Source #

gmapQ :: (forall d. Data d => d -> u) -> K1 i c p -> [u] Source #

gmapQi :: Int -> (forall d. Data d => d -> u) -> K1 i c p -> u Source #

gmapM :: Monad m => (forall d. Data d => d -> m d) -> K1 i c p -> m (K1 i c p) Source #

gmapMp :: MonadPlus m => (forall d. Data d => d -> m d) -> K1 i c p -> m (K1 i c p) Source #

gmapMo :: MonadPlus m => (forall d. Data d => d -> m d) -> K1 i c p -> m (K1 i c p) Source #

(Foldable f, Foldable g) => Foldable (Compose f g) Source #

Since: base-4.9.0.0

Instance details

Defined in Data.Functor.Compose

Methods

fold :: Monoid m => Compose f g m -> m Source #

foldMap :: Monoid m => (a -> m) -> Compose f g a -> m Source #

foldMap' :: Monoid m => (a -> m) -> Compose f g a -> m Source #

foldr :: (a -> b -> b) -> b -> Compose f g a -> b Source #

foldr' :: (a -> b -> b) -> b -> Compose f g a -> b Source #

foldl :: (b -> a -> b) -> b -> Compose f g a -> b Source #

foldl' :: (b -> a -> b) -> b -> Compose f g a -> b Source #

foldr1 :: (a -> a -> a) -> Compose f g a -> a Source #

foldl1 :: (a -> a -> a) -> Compose f g a -> a Source #

toList :: Compose f g a -> [a] Source #

null :: Compose f g a -> Bool Source #

length :: Compose f g a -> Int Source #

elem :: Eq a => a -> Compose f g a -> Bool Source #

maximum :: Ord a => Compose f g a -> a Source #

minimum :: Ord a => Compose f g a -> a Source #

sum :: Num a => Compose f g a -> a Source #

product :: Num a => Compose f g a -> a Source #

(Foldable f, Foldable g) => Foldable (f :.: g) Source #

Since: base-4.9.0.0

Instance details

Defined in Data.Foldable

Methods

fold :: Monoid m => (f :.: g) m -> m Source #

foldMap :: Monoid m => (a -> m) -> (f :.: g) a -> m Source #

foldMap' :: Monoid m => (a -> m) -> (f :.: g) a -> m Source #

foldr :: (a -> b -> b) -> b -> (f :.: g) a -> b Source #

foldr' :: (a -> b -> b) -> b -> (f :.: g) a -> b Source #

foldl :: (b -> a -> b) -> b -> (f :.: g) a -> b Source #

foldl' :: (b -> a -> b) -> b -> (f :.: g) a -> b Source #

foldr1 :: (a -> a -> a) -> (f :.: g) a -> a Source #

foldl1 :: (a -> a -> a) -> (f :.: g) a -> a Source #

toList :: (f :.: g) a -> [a] Source #

null :: (f :.: g) a -> Bool Source #

length :: (f :.: g) a -> Int Source #

elem :: Eq a => a -> (f :.: g) a -> Bool Source #

maximum :: Ord a => (f :.: g) a -> a Source #

minimum :: Ord a => (f :.: g) a -> a Source #

sum :: Num a => (f :.: g) a -> a Source #

product :: Num a => (f :.: g) a -> a Source #

Foldable f => Foldable (M1 i c f) Source #

Since: base-4.9.0.0

Instance details

Defined in Data.Foldable

Methods

fold :: Monoid m => M1 i c f m -> m Source #

foldMap :: Monoid m => (a -> m) -> M1 i c f a -> m Source #

foldMap' :: Monoid m => (a -> m) -> M1 i c f a -> m Source #

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

foldr' :: (a -> b -> b) -> b -> M1 i c f a -> b Source #

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

foldl' :: (b -> a -> b) -> b -> M1 i c f a -> b Source #

foldr1 :: (a -> a -> a) -> M1 i c f a -> a Source #

foldl1 :: (a -> a -> a) -> M1 i c f a -> a Source #

toList :: M1 i c f a -> [a] Source #

null :: M1 i c f a -> Bool Source #

length :: M1 i c f a -> Int Source #

elem :: Eq a => a -> M1 i c f a -> Bool Source #

maximum :: Ord a => M1 i c f a -> a Source #

minimum :: Ord a => M1 i c f a -> a Source #

sum :: Num a => M1 i c f a -> a Source #

product :: Num a => M1 i c f a -> a Source #

(Foldable1 f, Foldable1 g) => Foldable1 (Compose f g) Source #

Since: base-4.18.0.0

Instance details

Defined in Data.Foldable1

Methods

fold1 :: Semigroup m => Compose f g m -> m Source #

foldMap1 :: Semigroup m => (a -> m) -> Compose f g a -> m Source #

foldMap1' :: Semigroup m => (a -> m) -> Compose f g a -> m Source #

toNonEmpty :: Compose f g a -> NonEmpty a Source #

maximum :: Ord a => Compose f g a -> a Source #

minimum :: Ord a => Compose f g a -> a Source #

head :: Compose f g a -> a Source #

last :: Compose f g a -> a Source #

foldrMap1 :: (a -> b) -> (a -> b -> b) -> Compose f g a -> b Source #

foldlMap1' :: (a -> b) -> (b -> a -> b) -> Compose f g a -> b Source #

foldlMap1 :: (a -> b) -> (b -> a -> b) -> Compose f g a -> b Source #

foldrMap1' :: (a -> b) -> (a -> b -> b) -> Compose f g a -> b Source #

(Foldable1 f, Foldable1 g) => Foldable1 (f :.: g) Source #

Since: base-4.18.0.0

Instance details

Defined in Data.Foldable1

Methods

fold1 :: Semigroup m => (f :.: g) m -> m Source #

foldMap1 :: Semigroup m => (a -> m) -> (f :.: g) a -> m Source #

foldMap1' :: Semigroup m => (a -> m) -> (f :.: g) a -> m Source #

toNonEmpty :: (f :.: g) a -> NonEmpty a Source #

maximum :: Ord a => (f :.: g) a -> a Source #

minimum :: Ord a => (f :.: g) a -> a Source #

head :: (f :.: g) a -> a Source #

last :: (f :.: g) a -> a Source #

foldrMap1 :: (a -> b) -> (a -> b -> b) -> (f :.: g) a -> b Source #

foldlMap1' :: (a -> b) -> (b -> a -> b) -> (f :.: g) a -> b Source #

foldlMap1 :: (a -> b) -> (b -> a -> b) -> (f :.: g) a -> b Source #

foldrMap1' :: (a -> b) -> (a -> b -> b) -> (f :.: g) a -> b Source #

Foldable1 f => Foldable1 (M1 i c f) Source #

Since: base-4.18.0.0

Instance details

Defined in Data.Foldable1

Methods

fold1 :: Semigroup m => M1 i c f m -> m Source #

foldMap1 :: Semigroup m => (a -> m) -> M1 i c f a -> m Source #

foldMap1' :: Semigroup m => (a -> m) -> M1 i c f a -> m Source #

toNonEmpty :: M1 i c f a -> NonEmpty a Source #

maximum :: Ord a => M1 i c f a -> a Source #

minimum :: Ord a => M1 i c f a -> a Source #

head :: M1 i c f a -> a Source #

last :: M1 i c f a -> a Source #

foldrMap1 :: (a -> b) -> (a -> b -> b) -> M1 i c f a -> b Source #

foldlMap1' :: (a -> b) -> (b -> a -> b) -> M1 i c f a -> b Source #

foldlMap1 :: (a -> b) -> (b -> a -> b) -> M1 i c f a -> b Source #

foldrMap1' :: (a -> b) -> (a -> b -> b) -> M1 i c f a -> b Source #

(Eq1 f, Eq1 g) => Eq1 (Compose f g) Source #

Since: base-4.9.0.0

Instance details

Defined in Data.Functor.Compose

Methods

liftEq :: (a -> b -> Bool) -> Compose f g a -> Compose f g b -> Bool Source #

(Ord1 f, Ord1 g) => Ord1 (Compose f g) Source #

Since: base-4.9.0.0

Instance details

Defined in Data.Functor.Compose

Methods

liftCompare :: (a -> b -> Ordering) -> Compose f g a -> Compose f g b -> Ordering Source #

(Read1 f, Read1 g) => Read1 (Compose f g) Source #

Since: base-4.9.0.0

Instance details

Defined in Data.Functor.Compose

Methods

liftReadsPrec :: (Int -> ReadS a) -> ReadS [a] -> Int -> ReadS (Compose f g a) Source #

liftReadList :: (Int -> ReadS a) -> ReadS [a] -> ReadS [Compose f g a] Source #

liftReadPrec :: ReadPrec a -> ReadPrec [a] -> ReadPrec (Compose f g a) Source #

liftReadListPrec :: ReadPrec a -> ReadPrec [a] -> ReadPrec [Compose f g a] Source #

(Show1 f, Show1 g) => Show1 (Compose f g) Source #

Since: base-4.9.0.0

Instance details

Defined in Data.Functor.Compose

Methods

liftShowsPrec :: (Int -> a -> ShowS) -> ([a] -> ShowS) -> Int -> Compose f g a -> ShowS Source #

liftShowList :: (Int -> a -> ShowS) -> ([a] -> ShowS) -> [Compose f g a] -> ShowS Source #

(Functor f, Contravariant g) => Contravariant (Compose f g) Source # 
Instance details

Defined in Data.Functor.Contravariant

Methods

contramap :: (a' -> a) -> Compose f g a -> Compose f g a' Source #

(>$) :: b -> Compose f g b -> Compose f g a Source #

(Functor f, Contravariant g) => Contravariant (f :.: g) Source # 
Instance details

Defined in Data.Functor.Contravariant

Methods

contramap :: (a' -> a) -> (f :.: g) a -> (f :.: g) a' Source #

(>$) :: b -> (f :.: g) b -> (f :.: g) a Source #

Contravariant f => Contravariant (M1 i c f) Source # 
Instance details

Defined in Data.Functor.Contravariant

Methods

contramap :: (a' -> a) -> M1 i c f a -> M1 i c f a' Source #

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

(Traversable f, Traversable g) => Traversable (Compose f g) Source #

Since: base-4.9.0.0

Instance details

Defined in Data.Functor.Compose

Methods

traverse :: Applicative f0 => (a -> f0 b) -> Compose f g a -> f0 (Compose f g b) Source #

sequenceA :: Applicative f0 => Compose f g (f0 a) -> f0 (Compose f g a) Source #

mapM :: Monad m => (a -> m b) -> Compose f g a -> m (Compose f g b) Source #

sequence :: Monad m => Compose f g (m a) -> m (Compose f g a) Source #

(Traversable f, Traversable g) => Traversable (f :.: g) Source #

Since: base-4.9.0.0

Instance details

Defined in Data.Traversable

Methods

traverse :: Applicative f0 => (a -> f0 b) -> (f :.: g) a -> f0 ((f :.: g) b) Source #

sequenceA :: Applicative f0 => (f :.: g) (f0 a) -> f0 ((f :.: g) a) Source #

mapM :: Monad m => (a -> m b) -> (f :.: g) a -> m ((f :.: g) b) Source #

sequence :: Monad m => (f :.: g) (m a) -> m ((f :.: g) a) Source #

Traversable f => Traversable (M1 i c f) Source #

Since: base-4.9.0.0

Instance details

Defined in Data.Traversable

Methods

traverse :: Applicative f0 => (a -> f0 b) -> M1 i c f a -> f0 (M1 i c f b) Source #

sequenceA :: Applicative f0 => M1 i c f (f0 a) -> f0 (M1 i c f a) Source #

mapM :: Monad m => (a -> m b) -> M1 i c f a -> m (M1 i c f b) Source #

sequence :: Monad m => M1 i c f (m a) -> m (M1 i c f a) Source #

(Alternative f, Applicative g) => Alternative (Compose f g) Source #

Since: base-4.9.0.0

Instance details

Defined in Data.Functor.Compose

Methods

empty :: Compose f g a Source #

(<|>) :: Compose f g a -> Compose f g a -> Compose f g a Source #

some :: Compose f g a -> Compose f g [a] Source #

many :: Compose f g a -> Compose f g [a] Source #

(Alternative f, Applicative g) => Alternative (f :.: g) Source #

Since: base-4.9.0.0

Instance details

Defined in GHC.Generics

Methods

empty :: (f :.: g) a Source #

(<|>) :: (f :.: g) a -> (f :.: g) a -> (f :.: g) a Source #

some :: (f :.: g) a -> (f :.: g) [a] Source #

many :: (f :.: g) a -> (f :.: g) [a] Source #

Alternative f => Alternative (M1 i c f) Source #

Since: base-4.9.0.0

Instance details

Defined in GHC.Generics

Methods

empty :: M1 i c f a Source #

(<|>) :: M1 i c f a -> M1 i c f a -> M1 i c f a Source #

some :: M1 i c f a -> M1 i c f [a] Source #

many :: M1 i c f a -> M1 i c f [a] Source #

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

Since: base-4.9.0.0

Instance details

Defined in Data.Functor.Compose

Methods

pure :: a -> Compose f g a Source #

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

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

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

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

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

Since: base-4.9.0.0

Instance details

Defined in GHC.Generics

Methods

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

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

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

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

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

Applicative f => Applicative (M1 i c f) Source #

Since: base-4.9.0.0

Instance details

Defined in GHC.Generics

Methods

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

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

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

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

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

(Functor f, Functor g) => Functor (Compose f g) Source #

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 Source #

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

(Functor f, Functor g) => Functor (f :.: g) Source #

Since: base-4.9.0.0

Instance details

Defined in GHC.Generics

Methods

fmap :: (a -> b) -> (f :.: g) a -> (f :.: g) b Source #

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

Functor f => Functor (M1 i c f) Source #

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 Source #

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

Monad f => Monad (M1 i c f) Source #

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 Source #

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

return :: a -> M1 i c f a Source #

MonadPlus f => MonadPlus (M1 i c f) Source #

Since: base-4.9.0.0

Instance details

Defined in GHC.Generics

Methods

mzero :: M1 i c f a Source #

mplus :: M1 i c f a -> M1 i c f a -> M1 i c f a Source #

(Typeable f, Typeable g, Data p, Data (f (g p))) => Data ((f :.: g) p) Source #

Since: base-4.9.0.0

Instance details

Defined in Data.Data

Methods

gfoldl :: (forall d b. Data d => c (d -> b) -> d -> c b) -> (forall g0. g0 -> c g0) -> (f :.: g) p -> c ((f :.: g) p) Source #

gunfold :: (forall b r. Data b => c (b -> r) -> c r) -> (forall r. r -> c r) -> Constr -> c ((f :.: g) p) Source #

toConstr :: (f :.: g) p -> Constr Source #

dataTypeOf :: (f :.: g) p -> DataType Source #

dataCast1 :: Typeable t => (forall d. Data d => c (t d)) -> Maybe (c ((f :.: g) p)) Source #

dataCast2 :: Typeable t => (forall d e. (Data d, Data e) => c (t d e)) -> Maybe (c ((f :.: g) p)) Source #

gmapT :: (forall b. Data b => b -> b) -> (f :.: g) p -> (f :.: g) p Source #

gmapQl :: (r -> r' -> r) -> r -> (forall d. Data d => d -> r') -> (f :.: g) p -> r Source #

gmapQr :: forall r r'. (r' -> r -> r) -> r -> (forall d. Data d => d -> r') -> (f :.: g) p -> r Source #

gmapQ :: (forall d. Data d => d -> u) -> (f :.: g) p -> [u] Source #

gmapQi :: Int -> (forall d. Data d => d -> u) -> (f :.: g) p -> u Source #

gmapM :: Monad m => (forall d. Data d => d -> m d) -> (f :.: g) p -> m ((f :.: g) p) Source #

gmapMp :: MonadPlus m => (forall d. Data d => d -> m d) -> (f :.: g) p -> m ((f :.: g) p) Source #

gmapMo :: MonadPlus m => (forall d. Data d => d -> m d) -> (f :.: g) p -> m ((f :.: g) p) Source #

(Data p, Data (f p), Typeable c, Typeable i, Typeable f) => Data (M1 i c f p) Source #

Since: base-4.9.0.0

Instance details

Defined in Data.Data

Methods

gfoldl :: (forall d b. Data d => c0 (d -> b) -> d -> c0 b) -> (forall g. g -> c0 g) -> M1 i c f p -> c0 (M1 i c f p) Source #

gunfold :: (forall b r. Data b => c0 (b -> r) -> c0 r) -> (forall r. r -> c0 r) -> Constr -> c0 (M1 i c f p) Source #

toConstr :: M1 i c f p -> Constr Source #

dataTypeOf :: M1 i c f p -> DataType Source #

dataCast1 :: Typeable t => (forall d. Data d => c0 (t d)) -> Maybe (c0 (M1 i c f p)) Source #

dataCast2 :: Typeable t => (forall d e. (Data d, Data e) => c0 (t d e)) -> Maybe (c0 (M1 i c f p)) Source #

gmapT :: (forall b. Data b => b -> b) -> M1 i c f p -> M1 i c f p Source #

gmapQl :: (r -> r' -> r) -> r -> (forall d. Data d => d -> r') -> M1 i c f p -> r Source #

gmapQr :: forall r r'. (r' -> r -> r) -> r -> (forall d. Data d => d -> r') -> M1 i c f p -> r Source #

gmapQ :: (forall d. Data d => d -> u) -> M1 i c f p -> [u] Source #

gmapQi :: Int -> (forall d. Data d => d -> u) -> M1 i c f p -> u Source #

gmapM :: Monad m => (forall d. Data d => d -> m d) -> M1 i c f p -> m (M1 i c f p) Source #

gmapMp :: MonadPlus m => (forall d. Data d => d -> m d) -> M1 i c f p -> m (M1 i c f p) Source #

gmapMo :: MonadPlus m => (forall d. Data d => d -> m d) -> M1 i c f p -> m (M1 i c f p) Source #

type Rep1 ZipList Source #

Since: base-4.7.0.0

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 List)))
type Rep1 Complex Source #

Since: base-4.9.0.0

Instance details

Defined in Data.Complex

type Rep1 Identity Source #

Since: base-4.8.0.0

Instance details

Defined in Data.Functor.Identity

type Rep1 Identity = D1 ('MetaData "Identity" "Data.Functor.Identity" "base" 'True) (C1 ('MetaCons "Identity" 'PrefixI 'True) (S1 ('MetaSel ('Just "runIdentity") 'NoSourceUnpackedness 'NoSourceStrictness 'DecidedLazy) Par1))
type Rep1 First Source #

Since: base-4.7.0.0

Instance details

Defined in Data.Monoid

type Rep1 First = D1 ('MetaData "First" "Data.Monoid" "base" 'True) (C1 ('MetaCons "First" 'PrefixI 'True) (S1 ('MetaSel ('Just "getFirst") 'NoSourceUnpackedness 'NoSourceStrictness 'DecidedLazy) (Rec1 Maybe)))
type Rep1 Last Source #

Since: base-4.7.0.0

Instance details

Defined in Data.Monoid

type Rep1 Last = D1 ('MetaData "Last" "Data.Monoid" "base" 'True) (C1 ('MetaCons "Last" 'PrefixI 'True) (S1 ('MetaSel ('Just "getLast") 'NoSourceUnpackedness 'NoSourceStrictness 'DecidedLazy) (Rec1 Maybe)))
type Rep1 Down Source #

Since: base-4.12.0.0

Instance details

Defined in GHC.Generics

type Rep1 Down = D1 ('MetaData "Down" "Data.Ord" "base" 'True) (C1 ('MetaCons "Down" 'PrefixI 'True) (S1 ('MetaSel ('Just "getDown") 'NoSourceUnpackedness 'NoSourceStrictness 'DecidedLazy) Par1))
type Rep1 First Source #

Since: base-4.9.0.0

Instance details

Defined in Data.Semigroup

type Rep1 First = D1 ('MetaData "First" "Data.Semigroup" "base" 'True) (C1 ('MetaCons "First" 'PrefixI 'True) (S1 ('MetaSel ('Just "getFirst") 'NoSourceUnpackedness 'NoSourceStrictness 'DecidedLazy) Par1))
type Rep1 Last Source #

Since: base-4.9.0.0

Instance details

Defined in Data.Semigroup

type Rep1 Last = D1 ('MetaData "Last" "Data.Semigroup" "base" 'True) (C1 ('MetaCons "Last" 'PrefixI 'True) (S1 ('MetaSel ('Just "getLast") 'NoSourceUnpackedness 'NoSourceStrictness 'DecidedLazy) Par1))
type Rep1 Max Source #

Since: base-4.9.0.0

Instance details

Defined in Data.Semigroup

type Rep1 Max = D1 ('MetaData "Max" "Data.Semigroup" "base" 'True) (C1 ('MetaCons "Max" 'PrefixI 'True) (S1 ('MetaSel ('Just "getMax") 'NoSourceUnpackedness 'NoSourceStrictness 'DecidedLazy) Par1))
type Rep1 Min Source #

Since: base-4.9.0.0

Instance details

Defined in Data.Semigroup

type Rep1 Min = D1 ('MetaData "Min" "Data.Semigroup" "base" 'True) (C1 ('MetaCons "Min" 'PrefixI 'True) (S1 ('MetaSel ('Just "getMin") 'NoSourceUnpackedness 'NoSourceStrictness 'DecidedLazy) Par1))
type Rep1 WrappedMonoid Source #

Since: base-4.9.0.0

Instance details

Defined in Data.Semigroup

type Rep1 WrappedMonoid = D1 ('MetaData "WrappedMonoid" "Data.Semigroup" "base" 'True) (C1 ('MetaCons "WrapMonoid" 'PrefixI 'True) (S1 ('MetaSel ('Just "unwrapMonoid") 'NoSourceUnpackedness 'NoSourceStrictness 'DecidedLazy) Par1))
type Rep1 Dual Source #

Since: base-4.7.0.0

Instance details

Defined in Data.Semigroup.Internal

type Rep1 Dual = D1 ('MetaData "Dual" "Data.Semigroup.Internal" "base" 'True) (C1 ('MetaCons "Dual" 'PrefixI 'True) (S1 ('MetaSel ('Just "getDual") 'NoSourceUnpackedness 'NoSourceStrictness 'DecidedLazy) Par1))
type Rep1 Product Source #

Since: base-4.7.0.0

Instance details

Defined in Data.Semigroup.Internal

type Rep1 Product = D1 ('MetaData "Product" "Data.Semigroup.Internal" "base" 'True) (C1 ('MetaCons "Product" 'PrefixI 'True) (S1 ('MetaSel ('Just "getProduct") 'NoSourceUnpackedness 'NoSourceStrictness 'DecidedLazy) Par1))
type Rep1 Sum Source #

Since: base-4.7.0.0

Instance details

Defined in Data.Semigroup.Internal

type Rep1 Sum = D1 ('MetaData "Sum" "Data.Semigroup.Internal" "base" 'True) (C1 ('MetaCons "Sum" 'PrefixI 'True) (S1 ('MetaSel ('Just "getSum") 'NoSourceUnpackedness 'NoSourceStrictness 'DecidedLazy) Par1))
type Rep1 NonEmpty Source #

Since: base-4.6.0.0

Instance details

Defined in GHC.Generics

type Rep1 Par1 Source #

Since: base-4.9.0.0

Instance details

Defined in GHC.Generics

type Rep1 Par1 = D1 ('MetaData "Par1" "GHC.Generics" "base" 'True) (C1 ('MetaCons "Par1" 'PrefixI 'True) (S1 ('MetaSel ('Just "unPar1") 'NoSourceUnpackedness 'NoSourceStrictness 'DecidedLazy) Par1))
type Rep1 Maybe Source #

Since: base-4.6.0.0

Instance details

Defined in GHC.Generics

type Rep1 Maybe = D1 ('MetaData "Maybe" "GHC.Maybe" "base" 'False) (C1 ('MetaCons "Nothing" 'PrefixI 'False) (U1 :: Type -> Type) :+: C1 ('MetaCons "Just" 'PrefixI 'False) (S1 ('MetaSel ('Nothing :: Maybe Symbol) 'NoSourceUnpackedness 'NoSourceStrictness 'DecidedLazy) Par1))
type Rep1 Solo Source #

Since: base-4.15

Instance details

Defined in GHC.Generics

type Rep1 Solo = D1 ('MetaData "Solo" "GHC.Tuple.Prim" "ghc-prim" 'False) (C1 ('MetaCons "MkSolo" 'PrefixI 'False) (S1 ('MetaSel ('Nothing :: Maybe Symbol) 'NoSourceUnpackedness 'NoSourceStrictness 'DecidedLazy) Par1))
type Rep1 List Source #

Since: base-4.6.0.0

Instance details

Defined in GHC.Generics

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

Since: base-4.7.0.0

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 Rep1 (Either a :: Type -> Type) Source #

Since: base-4.6.0.0

Instance details

Defined in GHC.Generics

type Rep1 (Arg a :: Type -> Type) Source #

Since: base-4.9.0.0

Instance details

Defined in Data.Semigroup

type Rep1 (Tuple2 a :: Type -> Type) Source #

Since: base-4.6.0.0

Instance details

Defined in GHC.Generics

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

Since: base-4.7.0.0

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 Rep1 (Kleisli m a :: Type -> Type) Source #

Since: base-4.14.0.0

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) ((FUN 'Many a :: Type -> Type) :.: Rec1 m)))
type Rep1 (Tuple3 a b :: Type -> Type) Source #

Since: base-4.6.0.0

Instance details

Defined in GHC.Generics

type Rep1 (Tuple4 a b c :: Type -> Type) Source #

Since: base-4.6.0.0

Instance details

Defined in GHC.Generics

type Rep1 (Tuple5 a b c d :: Type -> Type) Source #

Since: base-4.6.0.0

Instance details

Defined in GHC.Generics

type Rep1 (Compose f g :: k -> Type) Source #

Since: base-4.9.0.0

Instance details

Defined in Data.Functor.Compose

type Rep1 (Compose f g :: k -> Type) = D1 ('MetaData "Compose" "Data.Functor.Compose" "base" 'True) (C1 ('MetaCons "Compose" 'PrefixI 'True) (S1 ('MetaSel ('Just "getCompose") 'NoSourceUnpackedness 'NoSourceStrictness 'DecidedLazy) (f :.: Rec1 g)))
type Rep1 (f :.: g :: k -> Type) Source #

Since: base-4.9.0.0

Instance details

Defined in GHC.Generics

type Rep1 (f :.: g :: k -> Type) = D1 ('MetaData ":.:" "GHC.Generics" "base" 'True) (C1 ('MetaCons "Comp1" 'PrefixI 'True) (S1 ('MetaSel ('Just "unComp1") 'NoSourceUnpackedness 'NoSourceStrictness 'DecidedLazy) (f :.: Rec1 g)))
type Rep1 (Tuple6 a b c d e :: Type -> Type) Source #

Since: base-4.6.0.0

Instance details

Defined in GHC.Generics

type Rep1 (Tuple7 a b c d e f :: Type -> Type) Source #

Since: base-4.6.0.0

Instance details

Defined in GHC.Generics

type Rep1 (Tuple8 a b c d e f g :: Type -> Type) Source #

Since: base-4.16.0.0

Instance details

Defined in GHC.Generics

type Rep1 (Tuple9 a b c d e f g h :: Type -> Type) Source #

Since: base-4.16.0.0

Instance details

Defined in GHC.Generics

type Rep1 (Tuple10 a b c d e f g h i :: Type -> Type) Source #

Since: base-4.16.0.0

Instance details

Defined in GHC.Generics

type Rep1 (Tuple11 a b c d e f g h i j :: Type -> Type) Source #

Since: base-4.16.0.0

Instance details

Defined in GHC.Generics

type Rep1 (Tuple12 a b c d e f g h i j k :: Type -> Type) Source #

Since: base-4.16.0.0

Instance details

Defined in GHC.Generics

type Rep1 (Tuple13 a b c d e f g h i j k l :: Type -> Type) Source #

Since: base-4.16.0.0

Instance details

Defined in GHC.Generics

type Rep1 (Tuple13 a b c d e f g h i j k l :: Type -> Type) = D1 ('MetaData "Tuple13" "GHC.Tuple.Prim" "ghc-prim" 'False) (C1 ('MetaCons "(,,,,,,,,,,,,)" 'PrefixI 'False) (((S1 ('MetaSel ('Nothing :: Maybe Symbol) 'NoSourceUnpackedness 'NoSourceStrictness 'DecidedLazy) (Rec0 a) :*: (S1 ('MetaSel ('Nothing :: Maybe Symbol) 'NoSourceUnpackedness 'NoSourceStrictness 'DecidedLazy) (Rec0 b) :*: S1 ('MetaSel ('Nothing :: Maybe Symbol) 'NoSourceUnpackedness 'NoSourceStrictness 'DecidedLazy) (Rec0 c))) :*: (S1 ('MetaSel ('Nothing :: Maybe Symbol) 'NoSourceUnpackedness 'NoSourceStrictness 'DecidedLazy) (Rec0 d) :*: (S1 ('MetaSel ('Nothing :: Maybe Symbol) 'NoSourceUnpackedness 'NoSourceStrictness 'DecidedLazy) (Rec0 e) :*: S1 ('MetaSel ('Nothing :: Maybe Symbol) 'NoSourceUnpackedness 'NoSourceStrictness 'DecidedLazy) (Rec0 f)))) :*: ((S1 ('MetaSel ('Nothing :: Maybe Symbol) 'NoSourceUnpackedness 'NoSourceStrictness 'DecidedLazy) (Rec0 g) :*: (S1 ('MetaSel ('Nothing :: Maybe Symbol) 'NoSourceUnpackedness 'NoSourceStrictness 'DecidedLazy) (Rec0 h) :*: S1 ('MetaSel ('Nothing :: Maybe Symbol) 'NoSourceUnpackedness 'NoSourceStrictness 'DecidedLazy) (Rec0 i))) :*: ((S1 ('MetaSel ('Nothing :: Maybe Symbol) 'NoSourceUnpackedness 'NoSourceStrictness 'DecidedLazy) (Rec0 j) :*: S1 ('MetaSel ('Nothing :: Maybe Symbol) 'NoSourceUnpackedness 'NoSourceStrictness 'DecidedLazy) (Rec0 k)) :*: (S1 ('MetaSel ('Nothing :: Maybe Symbol) 'NoSourceUnpackedness 'NoSourceStrictness 'DecidedLazy) (Rec0 l) :*: S1 ('MetaSel ('Nothing :: Maybe Symbol) 'NoSourceUnpackedness 'NoSourceStrictness 'DecidedLazy) Par1)))))
type Rep1 (Tuple14 a b c d e f g h i j k l m :: Type -> Type) Source #

Since: base-4.16.0.0

Instance details

Defined in GHC.Generics

type Rep1 (Tuple14 a b c d e f g h i j k l m :: Type -> Type) = D1 ('MetaData "Tuple14" "GHC.Tuple.Prim" "ghc-prim" 'False) (C1 ('MetaCons "(,,,,,,,,,,,,,)" 'PrefixI 'False) (((S1 ('MetaSel ('Nothing :: Maybe Symbol) 'NoSourceUnpackedness 'NoSourceStrictness 'DecidedLazy) (Rec0 a) :*: (S1 ('MetaSel ('Nothing :: Maybe Symbol) 'NoSourceUnpackedness 'NoSourceStrictness 'DecidedLazy) (Rec0 b) :*: S1 ('MetaSel ('Nothing :: Maybe Symbol) 'NoSourceUnpackedness 'NoSourceStrictness 'DecidedLazy) (Rec0 c))) :*: ((S1 ('MetaSel ('Nothing :: Maybe Symbol) 'NoSourceUnpackedness 'NoSourceStrictness 'DecidedLazy) (Rec0 d) :*: S1 ('MetaSel ('Nothing :: Maybe Symbol) 'NoSourceUnpackedness 'NoSourceStrictness 'DecidedLazy) (Rec0 e)) :*: (S1 ('MetaSel ('Nothing :: Maybe Symbol) 'NoSourceUnpackedness 'NoSourceStrictness 'DecidedLazy) (Rec0 f) :*: S1 ('MetaSel ('Nothing :: Maybe Symbol) 'NoSourceUnpackedness 'NoSourceStrictness 'DecidedLazy) (Rec0 g)))) :*: ((S1 ('MetaSel ('Nothing :: Maybe Symbol) 'NoSourceUnpackedness 'NoSourceStrictness 'DecidedLazy) (Rec0 h) :*: (S1 ('MetaSel ('Nothing :: Maybe Symbol) 'NoSourceUnpackedness 'NoSourceStrictness 'DecidedLazy) (Rec0 i) :*: S1 ('MetaSel ('Nothing :: Maybe Symbol) 'NoSourceUnpackedness 'NoSourceStrictness 'DecidedLazy) (Rec0 j))) :*: ((S1 ('MetaSel ('Nothing :: Maybe Symbol) 'NoSourceUnpackedness 'NoSourceStrictness 'DecidedLazy) (Rec0 k) :*: S1 ('MetaSel ('Nothing :: Maybe Symbol) 'NoSourceUnpackedness 'NoSourceStrictness 'DecidedLazy) (Rec0 l)) :*: (S1 ('MetaSel ('Nothing :: Maybe Symbol) 'NoSourceUnpackedness 'NoSourceStrictness 'DecidedLazy) (Rec0 m) :*: S1 ('MetaSel ('Nothing :: Maybe Symbol) 'NoSourceUnpackedness 'NoSourceStrictness 'DecidedLazy) Par1)))))
type Rep1 (Tuple15 a b c d e f g h i j k l m n :: Type -> Type) Source #

Since: base-4.16.0.0

Instance details

Defined in GHC.Generics

type Rep1 (Tuple15 a b c d e f g h i j k l m n :: Type -> Type) = D1 ('MetaData "Tuple15" "GHC.Tuple.Prim" "ghc-prim" 'False) (C1 ('MetaCons "(,,,,,,,,,,,,,,)" 'PrefixI 'False) (((S1 ('MetaSel ('Nothing :: Maybe Symbol) 'NoSourceUnpackedness 'NoSourceStrictness 'DecidedLazy) (Rec0 a) :*: (S1 ('MetaSel ('Nothing :: Maybe Symbol) 'NoSourceUnpackedness 'NoSourceStrictness 'DecidedLazy) (Rec0 b) :*: S1 ('MetaSel ('Nothing :: Maybe Symbol) 'NoSourceUnpackedness 'NoSourceStrictness 'DecidedLazy) (Rec0 c))) :*: ((S1 ('MetaSel ('Nothing :: Maybe Symbol) 'NoSourceUnpackedness 'NoSourceStrictness 'DecidedLazy) (Rec0 d) :*: S1 ('MetaSel ('Nothing :: Maybe Symbol) 'NoSourceUnpackedness 'NoSourceStrictness 'DecidedLazy) (Rec0 e)) :*: (S1 ('MetaSel ('Nothing :: Maybe Symbol) 'NoSourceUnpackedness 'NoSourceStrictness 'DecidedLazy) (Rec0 f) :*: S1 ('MetaSel ('Nothing :: Maybe Symbol) 'NoSourceUnpackedness 'NoSourceStrictness 'DecidedLazy) (Rec0 g)))) :*: (((S1 ('MetaSel ('Nothing :: Maybe Symbol) 'NoSourceUnpackedness 'NoSourceStrictness 'DecidedLazy) (Rec0 h) :*: S1 ('MetaSel ('Nothing :: Maybe Symbol) 'NoSourceUnpackedness 'NoSourceStrictness 'DecidedLazy) (Rec0 i)) :*: (S1 ('MetaSel ('Nothing :: Maybe Symbol) 'NoSourceUnpackedness 'NoSourceStrictness 'DecidedLazy) (Rec0 j) :*: S1 ('MetaSel ('Nothing :: Maybe Symbol) 'NoSourceUnpackedness 'NoSourceStrictness 'DecidedLazy) (Rec0 k))) :*: ((S1 ('MetaSel ('Nothing :: Maybe Symbol) 'NoSourceUnpackedness 'NoSourceStrictness 'DecidedLazy) (Rec0 l) :*: S1 ('MetaSel ('Nothing :: Maybe Symbol) 'NoSourceUnpackedness 'NoSourceStrictness 'DecidedLazy) (Rec0 m)) :*: (S1 ('MetaSel ('Nothing :: Maybe Symbol) 'NoSourceUnpackedness 'NoSourceStrictness 'DecidedLazy) (Rec0 n) :*: S1 ('MetaSel ('Nothing :: Maybe Symbol) 'NoSourceUnpackedness 'NoSourceStrictness 'DecidedLazy) Par1)))))

data WordBox (a :: TYPE 'WordRep) Source #

Constructors

MkWordBox a 

data IntBox (a :: TYPE 'IntRep) Source #

Constructors

MkIntBox a 

data FloatBox (a :: TYPE 'FloatRep) Source #

Constructors

MkFloatBox a 

data DoubleBox (a :: TYPE 'DoubleRep) Source #

Constructors

MkDoubleBox a 

data DictBox a Source #

Data type Dict provides a simple way to wrap up a (lifted) constraint as a type

Constructors

a => MkDictBox 

data Bool Source #

Constructors

False 
True 

Instances

Instances details
Data Bool Source #

Since: base-4.0.0.0

Instance details

Defined in Data.Data

Methods

gfoldl :: (forall d b. Data d => c (d -> b) -> d -> c b) -> (forall g. g -> c g) -> Bool -> c Bool Source #

gunfold :: (forall b r. Data b => c (b -> r) -> c r) -> (forall r. r -> c r) -> Constr -> c Bool Source #

toConstr :: Bool -> Constr Source #

dataTypeOf :: Bool -> DataType Source #

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

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

gmapT :: (forall b. Data b => b -> b) -> Bool -> Bool Source #

gmapQl :: (r -> r' -> r) -> r -> (forall d. Data d => d -> r') -> Bool -> r Source #

gmapQr :: forall r r'. (r' -> r -> r) -> r -> (forall d. Data d => d -> r') -> Bool -> r Source #

gmapQ :: (forall d. Data d => d -> u) -> Bool -> [u] Source #

gmapQi :: Int -> (forall d. Data d => d -> u) -> Bool -> u Source #

gmapM :: Monad m => (forall d. Data d => d -> m d) -> Bool -> m Bool Source #

gmapMp :: MonadPlus m => (forall d. Data d => d -> m d) -> Bool -> m Bool Source #

gmapMo :: MonadPlus m => (forall d. Data d => d -> m d) -> Bool -> m Bool Source #

Storable Bool Source #

Since: base-2.1

Instance details

Defined in Foreign.Storable

Bits Bool Source #

Interpret Bool as 1-bit bit-field

Since: base-4.7.0.0

Instance details

Defined in GHC.Bits

FiniteBits Bool Source #

Since: base-4.7.0.0

Instance details

Defined in GHC.Bits

Bounded Bool Source #

Since: base-2.1

Instance details

Defined in GHC.Enum

Enum Bool Source #

Since: base-2.1

Instance details

Defined in GHC.Enum

Generic Bool Source # 
Instance details

Defined in GHC.Generics

Associated Types

type Rep Bool

Since: base-4.6.0.0

Instance details

Defined in GHC.Generics

type Rep Bool = D1 ('MetaData "Bool" "GHC.Types" "ghc-prim" 'False) (C1 ('MetaCons "False" 'PrefixI 'False) (U1 :: Type -> Type) :+: C1 ('MetaCons "True" 'PrefixI 'False) (U1 :: Type -> Type))

Methods

from :: Bool -> Rep Bool x Source #

to :: Rep Bool x -> Bool Source #

Ix Bool Source #

Since: base-2.1

Instance details

Defined in GHC.Ix

Read Bool Source #

Since: base-2.1

Instance details

Defined in GHC.Read

Show Bool Source #

Since: base-2.1

Instance details

Defined in GHC.Show

Eq Bool 
Instance details

Defined in GHC.Classes

Methods

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

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

Ord Bool 
Instance details

Defined in GHC.Classes

type Rep Bool Source #

Since: base-4.6.0.0

Instance details

Defined in GHC.Generics

type Rep Bool = D1 ('MetaData "Bool" "GHC.Types" "ghc-prim" 'False) (C1 ('MetaCons "False" 'PrefixI 'False) (U1 :: Type -> Type) :+: C1 ('MetaCons "True" 'PrefixI 'False) (U1 :: Type -> Type))

data Char Source #

The character type Char represents Unicode codespace and its elements are code points as in definitions D9 and D10 of the Unicode Standard.

Character literals in Haskell are single-quoted: 'Q', 'Я' or 'Ω'. To represent a single quote itself use '\'', and to represent a backslash use '\\'. The full grammar can be found in the section 2.6 of the Haskell 2010 Language Report.

To specify a character by its code point one can use decimal, hexadecimal or octal notation: '\65', '\x41' and '\o101' are all alternative forms of 'A'. The largest code point is '\x10ffff'.

There is a special escape syntax for ASCII control characters:

EscapeAlternativesMeaning
'\NUL''\0'null character
'\SOH''\1'start of heading
'\STX''\2'start of text
'\ETX''\3'end of text
'\EOT''\4'end of transmission
'\ENQ''\5'enquiry
'\ACK''\6'acknowledge
'\BEL''\7', '\a'bell (alert)
'\BS''\8', '\b'backspace
'\HT''\9', '\t'horizontal tab
'\LF''\10', '\n'line feed (new line)
'\VT''\11', '\v'vertical tab
'\FF''\12', '\f'form feed
'\CR''\13', '\r'carriage return
'\SO''\14'shift out
'\SI''\15'shift in
'\DLE''\16'data link escape
'\DC1''\17'device control 1
'\DC2''\18'device control 2
'\DC3''\19'device control 3
'\DC4''\20'device control 4
'\NAK''\21'negative acknowledge
'\SYN''\22'synchronous idle
'\ETB''\23'end of transmission block
'\CAN''\24'cancel
'\EM''\25'end of medium
'\SUB''\26'substitute
'\ESC''\27'escape
'\FS''\28'file separator
'\GS''\29'group separator
'\RS''\30'record separator
'\US''\31'unit separator
'\SP''\32', ' 'space
'\DEL''\127'delete

Data.Char provides utilities to work with Char.

Constructors

C# Char# 

Instances

Instances details
Data Char Source #

Since: base-4.0.0.0

Instance details

Defined in Data.Data

Methods

gfoldl :: (forall d b. Data d => c (d -> b) -> d -> c b) -> (forall g. g -> c g) -> Char -> c Char Source #

gunfold :: (forall b r. Data b => c (b -> r) -> c r) -> (forall r. r -> c r) -> Constr -> c Char Source #

toConstr :: Char -> Constr Source #

dataTypeOf :: Char -> DataType Source #

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

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

gmapT :: (forall b. Data b => b -> b) -> Char -> Char Source #

gmapQl :: (r -> r' -> r) -> r -> (forall d. Data d => d -> r') -> Char -> r Source #

gmapQr :: forall r r'. (r' -> r -> r) -> r -> (forall d. Data d => d -> r') -> Char -> r Source #

gmapQ :: (forall d. Data d => d -> u) -> Char -> [u] Source #

gmapQi :: Int -> (forall d. Data d => d -> u) -> Char -> u Source #

gmapM :: Monad m => (forall d. Data d => d -> m d) -> Char -> m Char Source #

gmapMp :: MonadPlus m => (forall d. Data d => d -> m d) -> Char -> m Char Source #

gmapMo :: MonadPlus m => (forall d. Data d => d -> m d) -> Char -> m Char Source #

Storable Char Source #

Since: base-2.1

Instance details

Defined in Foreign.Storable

Bounded Char Source #

Since: base-2.1

Instance details

Defined in GHC.Enum

Enum Char Source #

Since: base-2.1

Instance details

Defined in GHC.Enum

Ix Char Source #

Since: base-2.1

Instance details

Defined in GHC.Ix

Read Char Source #

Since: base-2.1

Instance details

Defined in GHC.Read

Show Char Source #

Since: base-2.1

Instance details

Defined in GHC.Show

IsChar Char Source #

Since: base-2.1

Instance details

Defined in Text.Printf

PrintfArg Char Source #

Since: base-2.1

Instance details

Defined in Text.Printf

Eq Char 
Instance details

Defined in GHC.Classes

Methods

(==) :: Char -> Char -> Bool Source #

(/=) :: Char -> Char -> Bool Source #

Ord Char 
Instance details

Defined in GHC.Classes

TestCoercion SChar Source #

Since: base-4.18.0.0

Instance details

Defined in GHC.TypeLits

Methods

testCoercion :: forall (a :: Char) (b :: Char). SChar a -> SChar b -> Maybe (Coercion a b) Source #

TestEquality SChar Source #

Since: base-4.18.0.0

Instance details

Defined in GHC.TypeLits

Methods

testEquality :: forall (a :: Char) (b :: Char). SChar a -> SChar b -> Maybe (a :~: b) Source #

Generic1 (URec Char :: k -> Type) Source # 
Instance details

Defined in GHC.Generics

Associated Types

type Rep1 (URec Char :: k -> Type)

Since: base-4.9.0.0

Instance details

Defined in GHC.Generics

type Rep1 (URec Char :: k -> Type) = D1 ('MetaData "URec" "GHC.Generics" "base" 'False) (C1 ('MetaCons "UChar" 'PrefixI 'True) (S1 ('MetaSel ('Just "uChar#") 'NoSourceUnpackedness 'NoSourceStrictness 'DecidedLazy) (UChar :: k -> Type)))

Methods

from1 :: forall (a :: k). URec Char a -> Rep1 (URec Char :: k -> Type) a Source #

to1 :: forall (a :: k). Rep1 (URec Char :: k -> Type) a -> URec Char a Source #

Foldable (UChar :: Type -> Type) Source #

Since: base-4.9.0.0

Instance details

Defined in Data.Foldable

Methods

fold :: Monoid m => UChar m -> m Source #

foldMap :: Monoid m => (a -> m) -> UChar a -> m Source #

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

foldr :: (a -> b -> b) -> b -> UChar a -> b Source #

foldr' :: (a -> b -> b) -> b -> UChar a -> b Source #

foldl :: (b -> a -> b) -> b -> UChar a -> b Source #

foldl' :: (b -> a -> b) -> b -> UChar a -> b Source #

foldr1 :: (a -> a -> a) -> UChar a -> a Source #

foldl1 :: (a -> a -> a) -> UChar a -> a Source #

toList :: UChar a -> [a] Source #

null :: UChar a -> Bool Source #

length :: UChar a -> Int Source #

elem :: Eq a => a -> UChar a -> Bool Source #

maximum :: Ord a => UChar a -> a Source #

minimum :: Ord a => UChar a -> a Source #

sum :: Num a => UChar a -> a Source #

product :: Num a => UChar a -> a Source #

Traversable (UChar :: Type -> Type) Source #

Since: base-4.9.0.0

Instance details

Defined in Data.Traversable

Methods

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

sequenceA :: Applicative f => UChar (f a) -> f (UChar a) Source #

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

sequence :: Monad m => UChar (m a) -> m (UChar a) Source #

Functor (URec Char :: Type -> Type) Source #

Since: base-4.9.0.0

Instance details

Defined in GHC.Generics

Methods

fmap :: (a -> b) -> URec Char a -> URec Char b Source #

(<$) :: a -> URec Char b -> URec Char a Source #

Generic (URec Char p) Source # 
Instance details

Defined in GHC.Generics

Associated Types

type Rep (URec Char p)

Since: base-4.9.0.0

Instance details

Defined in GHC.Generics

type Rep (URec Char p) = D1 ('MetaData "URec" "GHC.Generics" "base" 'False) (C1 ('MetaCons "UChar" 'PrefixI 'True) (S1 ('MetaSel ('Just "uChar#") 'NoSourceUnpackedness 'NoSourceStrictness 'DecidedLazy) (UChar :: Type -> Type)))

Methods

from :: URec Char p -> Rep (URec Char p) x Source #

to :: Rep (URec Char p) x -> URec Char p Source #

Show (URec Char p) Source #

Since: base-4.9.0.0

Instance details

Defined in GHC.Generics

Eq (URec Char p) Source #

Since: base-4.9.0.0

Instance details

Defined in GHC.Generics

Methods

(==) :: URec Char p -> URec Char p -> Bool Source #

(/=) :: URec Char p -> URec Char p -> Bool Source #

Ord (URec Char p) Source #

Since: base-4.9.0.0

Instance details

Defined in GHC.Generics

Methods

compare :: URec Char p -> URec Char p -> Ordering Source #

(<) :: URec Char p -> URec Char p -> Bool Source #

(<=) :: URec Char p -> URec Char p -> Bool Source #

(>) :: URec Char p -> URec Char p -> Bool Source #

(>=) :: URec Char p -> URec Char p -> Bool Source #

max :: URec Char p -> URec Char p -> URec Char p Source #

min :: URec Char p -> URec Char p -> URec Char p Source #

data URec Char (p :: k) Source #

Used for marking occurrences of Char#

Since: base-4.9.0.0

Instance details

Defined in GHC.Generics

data URec Char (p :: k) = UChar {}
type Compare (a :: Char) (b :: Char) Source # 
Instance details

Defined in Data.Type.Ord

type Compare (a :: Char) (b :: Char) = CmpChar a b
type Rep1 (URec Char :: k -> Type) Source #

Since: base-4.9.0.0

Instance details

Defined in GHC.Generics

type Rep1 (URec Char :: k -> Type) = D1 ('MetaData "URec" "GHC.Generics" "base" 'False) (C1 ('MetaCons "UChar" 'PrefixI 'True) (S1 ('MetaSel ('Just "uChar#") 'NoSourceUnpackedness 'NoSourceStrictness 'DecidedLazy) (UChar :: k -> Type)))
type Rep (URec Char p) Source #

Since: base-4.9.0.0

Instance details

Defined in GHC.Generics

type Rep (URec Char p) = D1 ('MetaData "URec" "GHC.Generics" "base" 'False) (C1 ('MetaCons "UChar" 'PrefixI 'True) (S1 ('MetaSel ('Just "uChar#") 'NoSourceUnpackedness 'NoSourceStrictness 'DecidedLazy) (UChar :: Type -> Type)))

data Double Source #

Double-precision floating point numbers. It is desirable that this type be at least equal in range and precision to the IEEE double-precision type.

Constructors

D# Double# 

Instances

Instances details
Data Double Source #

Since: base-4.0.0.0

Instance details

Defined in Data.Data

Methods

gfoldl :: (forall d b. Data d => c (d -> b) -> d -> c b) -> (forall g. g -> c g) -> Double -> c Double Source #

gunfold :: (forall b r. Data b => c (b -> r) -> c r) -> (forall r. r -> c r) -> Constr -> c Double Source #

toConstr :: Double -> Constr Source #

dataTypeOf :: Double -> DataType Source #

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

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

gmapT :: (forall b. Data b => b -> b) -> Double -> Double Source #

gmapQl :: (r -> r' -> r) -> r -> (forall d. Data d => d -> r') -> Double -> r Source #

gmapQr :: forall r r'. (r' -> r -> r) -> r -> (forall d. Data d => d -> r') -> Double -> r Source #

gmapQ :: (forall d. Data d => d -> u) -> Double -> [u] Source #

gmapQi :: Int -> (forall d. Data d => d -> u) -> Double -> u Source #

gmapM :: Monad m => (forall d. Data d => d -> m d) -> Double -> m Double Source #

gmapMp :: MonadPlus m => (forall d. Data d => d -> m d) -> Double -> m Double Source #

gmapMo :: MonadPlus m => (forall d. Data d => d -> m d) -> Double -> m Double Source #

Storable Double Source #

Since: base-2.1

Instance details

Defined in Foreign.Storable

Enum Double Source #

fromEnum just truncates its argument, beware of all sorts of overflows.

List generators have extremely peculiar behavior, mandated by Haskell Report 2010:

>>> [0..1.5]
[0.0,1.0,2.0]

Since: base-2.1

Instance details

Defined in GHC.Float

Floating Double Source #

Since: base-2.1

Instance details

Defined in GHC.Float

RealFloat Double Source #

Since: base-2.1

Instance details

Defined in GHC.Float

Num Double Source #

This instance implements IEEE 754 standard with all its usual pitfalls about NaN, infinities and negative zero. Neither addition nor multiplication are associative or distributive:

>>> (0.1 + 0.1) + 0.4 == 0.1 + (0.1 + 0.4)
False
>>> (0.1 + 0.2) * 0.3 == 0.1 * 0.3 + 0.2 * 0.3
False
>>> (0.1 * 0.1) * 0.3 == 0.1 * (0.1 * 0.3)
False

Since: base-2.1

Instance details

Defined in GHC.Float

Read Double Source #

Since: base-2.1

Instance details

Defined in GHC.Read

Fractional Double Source #

This instance implements IEEE 754 standard with all its usual pitfalls about NaN, infinities and negative zero.

>>> 0 == (-0 :: Double)
True
>>> recip 0 == recip (-0 :: Double)
False
>>> map (/ 0) [-1, 0, 1]
[-Infinity,NaN,Infinity]
>>> map (* 0) $ map (/ 0) [-1, 0, 1]
[NaN,NaN,NaN]

Since: base-2.1

Instance details

Defined in GHC.Float

Real Double Source #

Beware that toRational generates garbage for non-finite arguments:

>>> toRational (1/0)
179769313 (and 300 more digits...) % 1
>>> toRational (0/0)
269653970 (and 300 more digits...) % 1

Since: base-2.1

Instance details

Defined in GHC.Float

RealFrac Double Source #

Beware that results for non-finite arguments are garbage:

>>> [ f x | f <- [round, floor, ceiling], x <- [-1/0, 0/0, 1/0] ] :: [Int]
[0,0,0,0,0,0,0,0,0]
>>> map properFraction [-1/0, 0/0, 1/0] :: [(Int, Double)]
[(0,0.0),(0,0.0),(0,0.0)]

and get even more non-sensical if you ask for Integer instead of Int.

Since: base-2.1

Instance details

Defined in GHC.Float

Show Double Source #

Since: base-2.1

Instance details

Defined in GHC.Float

PrintfArg Double Source #

Since: base-2.1

Instance details

Defined in Text.Printf

Eq Double

Note that due to the presence of NaN, Double's Eq instance does not satisfy reflexivity.

>>> 0/0 == (0/0 :: Double)
False

Also note that Double's Eq instance does not satisfy substitutivity:

>>> 0 == (-0 :: Double)
True
>>> recip 0 == recip (-0 :: Double)
False
Instance details

Defined in GHC.Classes

Ord Double

IEEE 754 Double-precision type includes not only numbers, but also positive and negative infinities and a special element called NaN (which can be quiet or signal).

IEEE 754-2008, section 5.11 requires that if at least one of arguments of <=, <, >, >= is NaN then the result of the comparison is False, and instance Ord Double complies with this requirement. This violates the reflexivity: both NaN <= NaN and NaN >= NaN are False.

IEEE 754-2008, section 5.10 defines totalOrder predicate. Unfortunately, compare on Doubles violates the IEEE standard and does not define a total order. More specifically, both compare NaN x and compare x NaN always return GT.

Thus, users must be extremely cautious when using instance Ord Double. For instance, one should avoid ordered containers with keys represented by Double, because data loss and corruption may happen. An IEEE-compliant compare is available in fp-ieee package as TotallyOrdered newtype.

Moving further, the behaviour of min and max with regards to NaN is also non-compliant. IEEE 754-2008, section 5.3.1 defines that quiet NaN should be treated as a missing data by minNum and maxNum functions, for example, minNum(NaN, 1) = minNum(1, NaN) = 1. Some languages such as Java deviate from the standard implementing minNum(NaN, 1) = minNum(1, NaN) = NaN. However, min / max in base are even worse: min NaN 1 is 1, but min 1 NaN is NaN.

IEEE 754-2008 compliant min / max can be found in ieee754 package under minNum / maxNum names. Implementations compliant with minimumNumber / maximumNumber from a newer IEEE 754-2019, section 9.6 are available from fp-ieee package.

Instance details

Defined in GHC.Classes

Generic1 (URec Double :: k -> Type) Source # 
Instance details

Defined in GHC.Generics

Associated Types

type Rep1 (URec Double :: k -> Type)

Since: base-4.9.0.0

Instance details

Defined in GHC.Generics

type Rep1 (URec Double :: k -> Type) = D1 ('MetaData "URec" "GHC.Generics" "base" 'False) (C1 ('MetaCons "UDouble" 'PrefixI 'True) (S1 ('MetaSel ('Just "uDouble#") 'NoSourceUnpackedness 'NoSourceStrictness 'DecidedLazy) (UDouble :: k -> Type)))

Methods

from1 :: forall (a :: k). URec Double a -> Rep1 (URec Double :: k -> Type) a Source #

to1 :: forall (a :: k). Rep1 (URec Double :: k -> Type) a -> URec Double a Source #

Foldable (UDouble :: Type -> Type) Source #

Since: base-4.9.0.0

Instance details

Defined in Data.Foldable

Methods

fold :: Monoid m => UDouble m -> m Source #

foldMap :: Monoid m => (a -> m) -> UDouble a -> m Source #

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

foldr :: (a -> b -> b) -> b -> UDouble a -> b Source #

foldr' :: (a -> b -> b) -> b -> UDouble a -> b Source #

foldl :: (b -> a -> b) -> b -> UDouble a -> b Source #

foldl' :: (b -> a -> b) -> b -> UDouble a -> b Source #

foldr1 :: (a -> a -> a) -> UDouble a -> a Source #

foldl1 :: (a -> a -> a) -> UDouble a -> a Source #

toList :: UDouble a -> [a] Source #

null :: UDouble a -> Bool Source #

length :: UDouble a -> Int Source #

elem :: Eq a => a -> UDouble a -> Bool Source #

maximum :: Ord a => UDouble a -> a Source #

minimum :: Ord a => UDouble a -> a Source #

sum :: Num a => UDouble a -> a Source #

product :: Num a => UDouble a -> a Source #

Traversable (UDouble :: Type -> Type) Source #

Since: base-4.9.0.0

Instance details

Defined in Data.Traversable

Methods

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

sequenceA :: Applicative f => UDouble (f a) -> f (UDouble a) Source #

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

sequence :: Monad m => UDouble (m a) -> m (UDouble a) Source #

Functor (URec Double :: Type -> Type) Source #

Since: base-4.9.0.0

Instance details

Defined in GHC.Generics

Methods

fmap :: (a -> b) -> URec Double a -> URec Double b Source #

(<$) :: a -> URec Double b -> URec Double a Source #

Generic (URec Double p) Source # 
Instance details

Defined in GHC.Generics

Associated Types

type Rep (URec Double p)

Since: base-4.9.0.0

Instance details

Defined in GHC.Generics

type Rep (URec Double p) = D1 ('MetaData "URec" "GHC.Generics" "base" 'False) (C1 ('MetaCons "UDouble" 'PrefixI 'True) (S1 ('MetaSel ('Just "uDouble#") 'NoSourceUnpackedness 'NoSourceStrictness 'DecidedLazy) (UDouble :: Type -> Type)))

Methods

from :: URec Double p -> Rep (URec Double p) x Source #

to :: Rep (URec Double p) x -> URec Double p Source #

Show (URec Double p) Source #

Since: base-4.9.0.0

Instance details

Defined in GHC.Generics

Eq (URec Double p) Source #

Since: base-4.9.0.0

Instance details

Defined in GHC.Generics

Methods

(==) :: URec Double p -> URec Double p -> Bool Source #

(/=) :: URec Double p -> URec Double p -> Bool Source #

Ord (URec Double p) Source #

Since: base-4.9.0.0

Instance details

Defined in GHC.Generics

data URec Double (p :: k) Source #

Used for marking occurrences of Double#

Since: base-4.9.0.0

Instance details

Defined in GHC.Generics

data URec Double (p :: k) = UDouble {}
type Rep1 (URec Double :: k -> Type) Source #

Since: base-4.9.0.0

Instance details

Defined in GHC.Generics

type Rep1 (URec Double :: k -> Type) = D1 ('MetaData "URec" "GHC.Generics" "base" 'False) (C1 ('MetaCons "UDouble" 'PrefixI 'True) (S1 ('MetaSel ('Just "uDouble#") 'NoSourceUnpackedness 'NoSourceStrictness 'DecidedLazy) (UDouble :: k -> Type)))
type Rep (URec Double p) Source #

Since: base-4.9.0.0

Instance details

Defined in GHC.Generics

type Rep (URec Double p) = D1 ('MetaData "URec" "GHC.Generics" "base" 'False) (C1 ('MetaCons "UDouble" 'PrefixI 'True) (S1 ('MetaSel ('Just "uDouble#") 'NoSourceUnpackedness 'NoSourceStrictness 'DecidedLazy) (UDouble :: Type -> Type)))

data List a Source #

The builtin list type, usually written in its non-prefix form [a].

Examples

Expand

Unless the OverloadedLists extension is enabled, list literals are syntactic sugar for repeated applications of : and [].

>>> 1:2:3:4:[] == [1,2,3,4]
True

Similarly, unless the OverloadedStrings extension is enabled, string literals are syntactic sugar for a lists of characters.

>>> ['h','e','l','l','o'] == "hello"
True

Since: ghc-prim-0.10.0

Instances

Instances details
MonadFail List Source #

Since: base-4.9.0.0

Instance details

Defined in Control.Monad.Fail

Methods

fail :: String -> [a] Source #

MonadFix List Source #

Since: base-2.1

Instance details

Defined in Control.Monad.Fix

Methods

mfix :: (a -> [a]) -> [a] Source #

MonadZip List Source #

Since: base-4.3.1.0

Instance details

Defined in Control.Monad.Zip

Methods

mzip :: [a] -> [b] -> [(a, b)] Source #

mzipWith :: (a -> b -> c) -> [a] -> [b] -> [c] Source #

munzip :: [(a, b)] -> ([a], [b]) Source #

Foldable List Source #

Since: base-2.1

Instance details

Defined in Data.Foldable

Methods

fold :: Monoid m => [m] -> m Source #

foldMap :: Monoid m => (a -> m) -> [a] -> m Source #

foldMap' :: Monoid m => (a -> m) -> [a] -> m Source #

foldr :: (a -> b -> b) -> b -> [a] -> b Source #

foldr' :: (a -> b -> b) -> b -> [a] -> b Source #

foldl :: (b -> a -> b) -> b -> [a] -> b Source #

foldl' :: (b -> a -> b) -> b -> [a] -> b Source #

foldr1 :: (a -> a -> a) -> [a] -> a Source #

foldl1 :: (a -> a -> a) -> [a] -> a Source #

toList :: [a] -> [a] Source #

null :: [a] -> Bool Source #

length :: [a] -> Int Source #

elem :: Eq a => a -> [a] -> Bool Source #

maximum :: Ord a => [a] -> a Source #

minimum :: Ord a => [a] -> a Source #

sum :: Num a => [a] -> a Source #

product :: Num a => [a] -> a Source #

Eq1 List Source #

Since: base-4.9.0.0

Instance details

Defined in Data.Functor.Classes

Methods

liftEq :: (a -> b -> Bool) -> [a] -> [b] -> Bool Source #

Ord1 List Source #

Since: base-4.9.0.0

Instance details

Defined in Data.Functor.Classes

Methods

liftCompare :: (a -> b -> Ordering) -> [a] -> [b] -> Ordering Source #

Read1 List Source #

Since: base-4.9.0.0

Instance details

Defined in Data.Functor.Classes

Methods

liftReadsPrec :: (Int -> ReadS a) -> ReadS [a] -> Int -> ReadS [a] Source #

liftReadList :: (Int -> ReadS a) -> ReadS [a] -> ReadS [[a]] Source #

liftReadPrec :: ReadPrec a -> ReadPrec [a] -> ReadPrec [a] Source #

liftReadListPrec :: ReadPrec a -> ReadPrec [a] -> ReadPrec [[a]] Source #

Show1 List Source #

Since: base-4.9.0.0

Instance details

Defined in Data.Functor.Classes

Methods

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

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

Traversable List Source #

Since: base-2.1

Instance details

Defined in Data.Traversable

Methods

traverse :: Applicative f => (a -> f b) -> [a] -> f [b] Source #

sequenceA :: Applicative f => [f a] -> f [a] Source #

mapM :: Monad m => (a -> m b) -> [a] -> m [b] Source #

sequence :: Monad m => [m a] -> m [a] Source #

Alternative List Source #

Combines lists by concatenation, starting from the empty list.

Since: base-2.1

Instance details

Defined in GHC.Base

Methods

empty :: [a] Source #

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

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

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

Applicative List Source #

Since: base-2.1

Instance details

Defined in GHC.Base

Methods

pure :: a -> [a] Source #

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

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

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

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

Functor List Source #

Since: base-2.1

Instance details

Defined in GHC.Base

Methods

fmap :: (a -> b) -> [a] -> [b] Source #

(<$) :: a -> [b] -> [a] Source #

Monad List Source #

Since: base-2.1

Instance details

Defined in GHC.Base

Methods

(>>=) :: [a] -> (a -> [b]) -> [b] Source #

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

return :: a -> [a] Source #

MonadPlus List Source #

Combines lists by concatenation, starting from the empty list.

Since: base-2.1

Instance details

Defined in GHC.Base

Methods

mzero :: [a] Source #

mplus :: [a] -> [a] -> [a] Source #

Generic1 List Source # 
Instance details

Defined in GHC.Generics

Associated Types

type Rep1 List

Since: base-4.6.0.0

Instance details

Defined in GHC.Generics

Methods

from1 :: [a] -> Rep1 List a Source #

to1 :: Rep1 List a -> [a] Source #

Data a => Data [a] Source #

For historical reasons, the constructor name used for (:) is "(:)". In a derived instance, it would be ":".

Since: base-4.0.0.0

Instance details

Defined in Data.Data

Methods

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

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

toConstr :: [a] -> Constr Source #

dataTypeOf :: [a] -> DataType Source #

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

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

gmapT :: (forall b. Data b => b -> b) -> [a] -> [a] Source #

gmapQl :: (r -> r' -> r) -> r -> (forall d. Data d => d -> r') -> [a] -> r Source #

gmapQr :: forall r r'. (r' -> r -> r) -> r -> (forall d. Data d => d -> r') -> [a] -> r Source #

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

gmapQi :: Int -> (forall d. Data d => d -> u) -> [a] -> u Source #

gmapM :: Monad m => (forall d. Data d => d -> m d) -> [a] -> m [a] Source #

gmapMp :: MonadPlus m => (forall d. Data d => d -> m d) -> [a] -> m [a] Source #

gmapMo :: MonadPlus m => (forall d. Data d => d -> m d) -> [a] -> m [a] Source #

a ~ Char => IsString [a] Source #

(a ~ Char) context was introduced in 4.9.0.0

Since: base-2.1

Instance details

Defined in Data.String

Methods

fromString :: String -> [a] Source #

Monoid [a] Source #

Since: base-2.1

Instance details

Defined in GHC.Base

Methods

mempty :: [a] Source #

mappend :: [a] -> [a] -> [a] Source #

mconcat :: [[a]] -> [a] Source #

Semigroup [a] Source #

Since: base-4.9.0.0

Instance details

Defined in GHC.Base

Methods

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

sconcat :: NonEmpty [a] -> [a] Source #

stimes :: Integral b => b -> [a] -> [a] Source #

Generic [a] Source # 
Instance details

Defined in GHC.Generics

Associated Types

type Rep [a]

Since: base-4.6.0.0

Instance details

Defined in GHC.Generics

Methods

from :: [a] -> Rep [a] x Source #

to :: Rep [a] x -> [a] Source #

IsList [a] Source #

Since: base-4.7.0.0

Instance details

Defined in GHC.IsList

Associated Types

type Item [a] 
Instance details

Defined in GHC.IsList

type Item [a] = a

Methods

fromList :: [Item [a]] -> [a] Source #

fromListN :: Int -> [Item [a]] -> [a] Source #

toList :: [a] -> [Item [a]] Source #

Read a => Read [a] Source #

Since: base-2.1

Instance details

Defined in GHC.Read

Show a => Show [a] Source #

Since: base-2.1

Instance details

Defined in GHC.Show

Methods

showsPrec :: Int -> [a] -> ShowS Source #

show :: [a] -> String Source #

showList :: [[a]] -> ShowS Source #

IsChar c => PrintfArg [c] Source #

Since: base-2.1

Instance details

Defined in Text.Printf

IsChar c => PrintfType [c] Source #

Since: base-2.1

Instance details

Defined in Text.Printf

Methods

spr :: String -> [UPrintf] -> [c]

Eq a => Eq [a] 
Instance details

Defined in GHC.Classes

Methods

(==) :: [a] -> [a] -> Bool Source #

(/=) :: [a] -> [a] -> Bool Source #

Ord a => Ord [a] 
Instance details

Defined in GHC.Classes

Methods

compare :: [a] -> [a] -> Ordering Source #

(<) :: [a] -> [a] -> Bool Source #

(<=) :: [a] -> [a] -> Bool Source #

(>) :: [a] -> [a] -> Bool Source #

(>=) :: [a] -> [a] -> Bool Source #

max :: [a] -> [a] -> [a] Source #

min :: [a] -> [a] -> [a] Source #

type Rep1 List Source #

Since: base-4.6.0.0

Instance details

Defined in GHC.Generics

type Rep [a] Source #

Since: base-4.6.0.0

Instance details

Defined in GHC.Generics

type Item [a] Source # 
Instance details

Defined in GHC.IsList

type Item [a] = a

data Ordering Source #

Constructors

LT 
EQ 
GT 

Instances

Instances details
Data Ordering Source #

Since: base-4.0.0.0

Instance details

Defined in Data.Data

Methods

gfoldl :: (forall d b. Data d => c (d -> b) -> d -> c b) -> (forall g. g -> c g) -> Ordering -> c Ordering Source #

gunfold :: (forall b r. Data b => c (b -> r) -> c r) -> (forall r. r -> c r) -> Constr -> c Ordering Source #

toConstr :: Ordering -> Constr Source #

dataTypeOf :: Ordering -> DataType Source #

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

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

gmapT :: (forall b. Data b => b -> b) -> Ordering -> Ordering Source #

gmapQl :: (r -> r' -> r) -> r -> (forall d. Data d => d -> r') -> Ordering -> r Source #

gmapQr :: forall r r'. (r' -> r -> r) -> r -> (forall d. Data d => d -> r') -> Ordering -> r Source #

gmapQ :: (forall d. Data d => d -> u) -> Ordering -> [u] Source #

gmapQi :: Int -> (forall d. Data d => d -> u) -> Ordering -> u Source #

gmapM :: Monad m => (forall d. Data d => d -> m d) -> Ordering -> m Ordering Source #

gmapMp :: MonadPlus m => (forall d. Data d => d -> m d) -> Ordering -> m Ordering Source #

gmapMo :: MonadPlus m => (forall d. Data d => d -> m d) -> Ordering -> m Ordering Source #

Monoid Ordering Source #

Since: base-2.1

Instance details

Defined in GHC.Base

Semigroup Ordering Source #

Since: base-4.9.0.0

Instance details

Defined in GHC.Base

Bounded Ordering Source #

Since: base-2.1

Instance details

Defined in GHC.Enum

Enum Ordering Source #

Since: base-2.1

Instance details

Defined in GHC.Enum

Generic Ordering Source # 
Instance details

Defined in GHC.Generics

Associated Types

type Rep Ordering

Since: base-4.6.0.0

Instance details

Defined in GHC.Generics

type Rep Ordering = D1 ('MetaData "Ordering" "GHC.Types" "ghc-prim" 'False) (C1 ('MetaCons "LT" 'PrefixI 'False) (U1 :: Type -> Type) :+: (C1 ('MetaCons "EQ" 'PrefixI 'False) (U1 :: Type -> Type) :+: C1 ('MetaCons "GT" 'PrefixI 'False) (U1 :: Type -> Type)))
Ix Ordering Source #

Since: base-2.1

Instance details

Defined in GHC.Ix

Read Ordering Source #

Since: base-2.1

Instance details

Defined in GHC.Read

Show Ordering Source #

Since: base-2.1

Instance details

Defined in GHC.Show

Eq Ordering 
Instance details

Defined in GHC.Classes

Ord Ordering 
Instance details

Defined in GHC.Classes

type Rep Ordering Source #

Since: base-4.6.0.0

Instance details

Defined in GHC.Generics

type Rep Ordering = D1 ('MetaData "Ordering" "GHC.Types" "ghc-prim" 'False) (C1 ('MetaCons "LT" 'PrefixI 'False) (U1 :: Type -> Type) :+: (C1 ('MetaCons "EQ" 'PrefixI 'False) (U1 :: Type -> Type) :+: C1 ('MetaCons "GT" 'PrefixI 'False) (U1 :: Type -> Type)))

class a ~# b => (a :: k0) ~~ (b :: k1) infix 4 Source #

Lifted, heterogeneous equality. By lifted, we mean that it can be bogus (deferred type error). By heterogeneous, the two types a and b might have different kinds. Because ~~ can appear unexpectedly in error messages to users who do not care about the difference between heterogeneous equality ~~ and homogeneous equality ~, this is printed as ~ unless -fprint-equality-relations is set.

In 0.7.0, the fixity was set to infix 4 to match the fixity of :~~:.

class a ~# b => (a :: k) ~ (b :: k) infix 4 Source #

Lifted, homogeneous equality. By lifted, we mean that it can be bogus (deferred type error). By homogeneous, the two types a and b must have the same kinds.

class a ~R# b => Coercible (a :: k) (b :: k) Source #

Coercible is a two-parameter class that has instances for types a and b if the compiler can infer that they have the same representation. This class does not have regular instances; instead they are created on-the-fly during type-checking. Trying to manually declare an instance of Coercible is an error.

Nevertheless one can pretend that the following three kinds of instances exist. First, as a trivial base-case:

instance Coercible a a

Furthermore, for every type constructor there is an instance that allows to coerce under the type constructor. For example, let D be a prototypical type constructor (data or newtype) with three type arguments, which have roles nominal, representational resp. phantom. Then there is an instance of the form

instance Coercible b b' => Coercible (D a b c) (D a b' c')

Note that the nominal type arguments are equal, the representational type arguments can differ, but need to have a Coercible instance themself, and the phantom type arguments can be changed arbitrarily.

The third kind of instance exists for every newtype NT = MkNT T and comes in two variants, namely

instance Coercible a T => Coercible a NT
instance Coercible T b => Coercible NT b

This instance is only usable if the constructor MkNT is in scope.

If, as a library author of a type constructor like Set a, you want to prevent a user of your module to write coerce :: Set T -> Set NT, you need to set the role of Set's type parameter to nominal, by writing

type role Set nominal

For more details about this feature, please refer to Safe Coercions by Joachim Breitner, Richard A. Eisenberg, Simon Peyton Jones and Stephanie Weirich.

Since: ghc-prim-0.4.0

data Symbol Source #

(Kind) This is the kind of type-level symbols.

Instances

Instances details
TestCoercion SSymbol Source #

Since: base-4.18.0.0

Instance details

Defined in GHC.TypeLits

Methods

testCoercion :: forall (a :: Symbol) (b :: Symbol). SSymbol a -> SSymbol b -> Maybe (Coercion a b) Source #

TestEquality SSymbol Source #

Since: base-4.18.0.0

Instance details

Defined in GHC.TypeLits

Methods

testEquality :: forall (a :: Symbol) (b :: Symbol). SSymbol a -> SSymbol b -> Maybe (a :~: b) Source #

type Compare (a :: Symbol) (b :: Symbol) Source # 
Instance details

Defined in Data.Type.Ord

type Compare (a :: Symbol) (b :: Symbol) = CmpSymbol a b

data RuntimeRep Source #

GHC maintains a property that the kind of all inhabited types (as distinct from type constructors or type-level data) tells us the runtime representation of values of that type. This datatype encodes the choice of runtime value. Note that TYPE is parameterised by RuntimeRep; this is precisely what we mean by the fact that a type's kind encodes the runtime representation.

For boxed values (that is, values that are represented by a pointer), a further distinction is made, between lifted types (that contain ⊥), and unlifted ones (that don't).

Constructors

VecRep VecCount VecElem

a SIMD vector type

TupleRep [RuntimeRep]

An unboxed tuple of the given reps

SumRep [RuntimeRep]

An unboxed sum of the given reps

BoxedRep Levity

boxed; represented by a pointer

IntRep

signed, word-sized value

Int8Rep

signed, 8-bit value

Int16Rep

signed, 16-bit value

Int32Rep

signed, 32-bit value

Int64Rep

signed, 64-bit value

WordRep

unsigned, word-sized value

Word8Rep

unsigned, 8-bit value

Word16Rep

unsigned, 16-bit value

Word32Rep

unsigned, 32-bit value

Word64Rep

unsigned, 64-bit value

AddrRep

A pointer, but not to a Haskell value

FloatRep

a 32-bit floating point number

DoubleRep

a 64-bit floating point number

Instances

Instances details
Show RuntimeRep Source #

Since: base-4.11.0.0

Instance details

Defined in GHC.Show

data Levity Source #

Whether a boxed type is lifted or unlifted.

Constructors

Lifted 
Unlifted 

Instances

Instances details
Bounded Levity Source #

Since: base-4.16.0.0

Instance details

Defined in GHC.Enum

Enum Levity Source #

Since: base-4.16.0.0

Instance details

Defined in GHC.Enum

Show Levity Source #

Since: base-4.15.0.0

Instance details

Defined in GHC.Show

data VecCount Source #

Length of a SIMD vector type

Constructors

Vec2 
Vec4 
Vec8 
Vec16 
Vec32 
Vec64 

Instances

Instances details
Bounded VecCount Source #

Since: base-4.10.0.0

Instance details

Defined in GHC.Enum

Enum VecCount Source #

Since: base-4.10.0.0

Instance details

Defined in GHC.Enum

Show VecCount Source #

Since: base-4.11.0.0

Instance details

Defined in GHC.Show

data VecElem Source #

Element of a SIMD vector type

Instances

Instances details
Bounded VecElem Source #

Since: base-4.10.0.0

Instance details

Defined in GHC.Enum

Enum VecElem Source #

Since: base-4.10.0.0

Instance details

Defined in GHC.Enum

Show VecElem Source #

Since: base-4.11.0.0

Instance details

Defined in GHC.Show

data Multiplicity Source #

Constructors

One 
Many 

data SPEC Source #

SPEC is used by GHC in the SpecConstr pass in order to inform the compiler when to be particularly aggressive. In particular, it tells GHC to specialize regardless of size or the number of specializations. However, not all loops fall into this category.

Libraries can specify this by using SPEC data type to inform which loops should be aggressively specialized. For example, instead of

loop x where loop arg = ...

write

loop SPEC x where loop !_ arg = ...

There is no semantic difference between SPEC and SPEC2, we just need a type with two contructors lest it is optimised away before SpecConstr.

This type is reexported from GHC.Exts since GHC 9.0 and base-4.15. For compatibility with earlier releases import it from GHC.Types in ghc-prim package.

Since: ghc-prim-0.3.1.0

Constructors

SPEC 
SPEC2 

data TypeLitSort Source #

Instances

Instances details
Show TypeLitSort Source #

Since: base-4.11.0.0

Instance details

Defined in GHC.Show

data KindRep Source #

The representation produced by GHC for conjuring up the kind of a TypeRep.

Instances

Instances details
Show KindRep Source # 
Instance details

Defined in GHC.Show

data TyCon Source #

Constructors

TyCon 

Fields

  • Word64#

    Fingerprint (high)

  • Word64#

    Fingerprint (low)

  • Module

    Module in which this is defined

  • TrName

    Type constructor name

  • Int#

    How many kind variables do we accept?

  • KindRep

    A representation of the type's kind

Instances

Instances details
Show TyCon Source #

Since: base-2.1

Instance details

Defined in GHC.Show

Eq TyCon 
Instance details

Defined in GHC.Classes

Methods

(==) :: TyCon -> TyCon -> Bool Source #

(/=) :: TyCon -> TyCon -> Bool Source #

Ord TyCon 
Instance details

Defined in GHC.Classes

data TrName Source #

Constructors

TrNameS Addr#

Static

TrNameD [Char]

Dynamic

Instances

Instances details
Show TrName Source #

Since: base-4.9.0.0

Instance details

Defined in GHC.Show

Eq TrName 
Instance details

Defined in GHC.Classes

data Module Source #

Constructors

Module 

Fields

Instances

Instances details
Show Module Source #

Since: base-4.9.0.0

Instance details

Defined in GHC.Show

Eq Module 
Instance details

Defined in GHC.Classes

newtype IO a Source #

A value of type IO a is a computation which, when performed, does some I/O before returning a value of type a.

There is really only one way to "perform" an I/O action: bind it to Main.main in your program. When your program is run, the I/O will be performed. It isn't possible to perform I/O from an arbitrary function, unless that function is itself in the IO monad and called at some point, directly or indirectly, from Main.main.

IO is a monad, so IO actions can be combined using either the do-notation or the >> and >>= operations from the Monad class.

Constructors

IO (State# RealWorld -> (# State# RealWorld, a #)) 

Instances

Instances details
MonadFail IO Source #

Since: base-4.9.0.0

Instance details

Defined in Control.Monad.Fail

Methods

fail :: String -> IO a Source #

MonadFix IO Source #

Since: base-2.1

Instance details

Defined in Control.Monad.Fix

Methods

mfix :: (a -> IO a) -> IO a Source #

MonadIO IO Source #

Since: base-4.9.0.0

Instance details

Defined in Control.Monad.IO.Class

Methods

liftIO :: IO a -> IO a Source #

Alternative IO Source #

Takes the first non-throwing IO action's result. empty throws an exception.

Since: base-4.9.0.0

Instance details

Defined in GHC.Base

Methods

empty :: IO a Source #

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

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

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

Applicative IO Source #

Since: base-2.1

Instance details

Defined in GHC.Base

Methods

pure :: a -> IO a Source #

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

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

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

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

Functor IO Source #

Since: base-2.1

Instance details

Defined in GHC.Base

Methods

fmap :: (a -> b) -> IO a -> IO b Source #

(<$) :: a -> IO b -> IO a Source #

Monad IO Source #

Since: base-2.1

Instance details

Defined in GHC.Base

Methods

(>>=) :: IO a -> (a -> IO b) -> IO b Source #

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

return :: a -> IO a Source #

MonadPlus IO Source #

Takes the first non-throwing IO action's result. mzero throws an exception.

Since: base-4.9.0.0

Instance details

Defined in GHC.Base

Methods

mzero :: IO a Source #

mplus :: IO a -> IO a -> IO a Source #

GHCiSandboxIO IO Source #

Since: base-4.4.0.0

Instance details

Defined in GHC.GHCi

Methods

ghciStepIO :: IO a -> IO a Source #

Monoid a => Monoid (IO a) Source #

Since: base-4.9.0.0

Instance details

Defined in GHC.Base

Methods

mempty :: IO a Source #

mappend :: IO a -> IO a -> IO a Source #

mconcat :: [IO a] -> IO a Source #

Semigroup a => Semigroup (IO a) Source #

Since: base-4.10.0.0

Instance details

Defined in GHC.Base

Methods

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

sconcat :: NonEmpty (IO a) -> IO a Source #

stimes :: Integral b => b -> IO a -> IO a Source #

a ~ () => HPrintfType (IO a) Source #

Since: base-4.7.0.0

Instance details

Defined in Text.Printf

Methods

hspr :: Handle -> String -> [UPrintf] -> IO a

a ~ () => PrintfType (IO a) Source #

Since: base-4.7.0.0

Instance details

Defined in Text.Printf

Methods

spr :: String -> [UPrintf] -> IO a

type ZeroBitType = TYPE ZeroBitRep Source #

The kind of the empty unboxed tuple type (# #)

type ZeroBitRep = 'TupleRep ('[] :: [RuntimeRep]) Source #

The runtime representation of a zero-width tuple, represented by no bits at all

type UnliftedRep = 'BoxedRep 'Unlifted Source #

The runtime representation of unlifted types.

type LiftedRep = 'BoxedRep 'Lifted Source #

The runtime representation of lifted types.

type UnliftedType = TYPE UnliftedRep Source #

The kind of boxed, unlifted values, for example Array# or a user-defined unlifted data type, using -XUnliftedDataTypes.

type Type = TYPE LiftedRep Source #

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

type Constraint = CONSTRAINT LiftedRep Source #

The kind of lifted constraints

type family Any :: k where ... Source #

The type constructor Any is type to which you can unsafely coerce any lifted type, and back. More concretely, for a lifted type t and value x :: t, unsafeCoerce (unsafeCoerce x :: Any) :: t is equivalent to x.

type KindBndr = Int Source #

A de Bruijn index for a binder within a KindRep.

type Void# = (# #) Source #

type family MultMul (a :: Multiplicity) (b :: Multiplicity) :: Multiplicity where ... Source #

Equations

MultMul 'One x = x 
MultMul x 'One = x 
MultMul 'Many x = 'Many 
MultMul x 'Many = 'Many 

isTrue# :: Int# -> Bool Source #

Alias for tagToEnum#. Returns True if its parameter is 1# and False if it is 0#.

module GHC.Prim

data TYPE (a :: RuntimeRep) Source #

Instances

Instances details
Category Op Source # 
Instance details

Defined in Data.Functor.Contravariant

Methods

id :: Op a a Source #

(.) :: Op b c -> Op a b -> Op a c Source #

HasResolution E0 Source #

Since: base-4.1.0.0

Instance details

Defined in Data.Fixed

Methods

resolution :: p E0 -> Integer Source #

HasResolution E1 Source #

Since: base-4.1.0.0

Instance details

Defined in Data.Fixed

Methods

resolution :: p E1 -> Integer Source #

HasResolution E12 Source #

Since: base-2.1

Instance details

Defined in Data.Fixed

Methods

resolution :: p E12 -> Integer Source #

HasResolution E2 Source #

Since: base-4.1.0.0

Instance details

Defined in Data.Fixed

Methods

resolution :: p E2 -> Integer Source #

HasResolution E3 Source #

Since: base-4.1.0.0

Instance details

Defined in Data.Fixed

Methods

resolution :: p E3 -> Integer Source #

HasResolution E6 Source #

Since: base-2.1

Instance details

Defined in Data.Fixed

Methods

resolution :: p E6 -> Integer Source #

HasResolution E9 Source #

Since: base-4.1.0.0

Instance details

Defined in Data.Fixed

Methods

resolution :: p E9 -> Integer Source #

Generic1 ZipList Source # 
Instance details

Defined in Control.Applicative

Associated Types

type Rep1 ZipList

Since: base-4.7.0.0

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 List)))
Generic1 Complex Source # 
Instance details

Defined in Data.Complex

Associated Types

type Rep1 Complex

Since: base-4.9.0.0

Instance details

Defined in Data.Complex

Generic1 Identity Source # 
Instance details

Defined in Data.Functor.Identity

Associated Types

type Rep1 Identity

Since: base-4.8.0.0

Instance details

Defined in Data.Functor.Identity

type Rep1 Identity = D1 ('MetaData "Identity" "Data.Functor.Identity" "base" 'True) (C1 ('MetaCons "Identity" 'PrefixI 'True) (S1 ('MetaSel ('Just "runIdentity") 'NoSourceUnpackedness 'NoSourceStrictness 'DecidedLazy) Par1))
Generic1 First Source # 
Instance details

Defined in Data.Monoid

Associated Types

type Rep1 First

Since: base-4.7.0.0

Instance details

Defined in Data.Monoid

type Rep1 First = D1 ('MetaData "First" "Data.Monoid" "base" 'True) (C1 ('MetaCons "First" 'PrefixI 'True) (S1 ('MetaSel ('Just "getFirst") 'NoSourceUnpackedness 'NoSourceStrictness 'DecidedLazy) (Rec1 Maybe)))

Methods

from1 :: First a -> Rep1 First a Source #

to1 :: Rep1 First a -> First a Source #

Generic1 Last Source # 
Instance details

Defined in Data.Monoid

Associated Types

type Rep1 Last

Since: base-4.7.0.0

Instance details

Defined in Data.Monoid

type Rep1 Last = D1 ('MetaData "Last" "Data.Monoid" "base" 'True) (C1 ('MetaCons "Last" 'PrefixI 'True) (S1 ('MetaSel ('Just "getLast") 'NoSourceUnpackedness 'NoSourceStrictness 'DecidedLazy) (Rec1 Maybe)))

Methods

from1 :: Last a -> Rep1 Last a Source #

to1 :: Rep1 Last a -> Last a Source #

Generic1 Down Source # 
Instance details

Defined in GHC.Generics

Associated Types

type Rep1 Down

Since: base-4.12.0.0

Instance details

Defined in GHC.Generics

type Rep1 Down = D1 ('MetaData "Down" "Data.Ord" "base" 'True) (C1 ('MetaCons "Down" 'PrefixI 'True) (S1 ('MetaSel ('Just "getDown") 'NoSourceUnpackedness 'NoSourceStrictness 'DecidedLazy) Par1))

Methods

from1 :: Down a -> Rep1 Down a Source #

to1 :: Rep1 Down a -> Down a Source #

Generic1 First Source # 
Instance details

Defined in Data.Semigroup

Associated Types

type Rep1 First

Since: base-4.9.0.0

Instance details

Defined in Data.Semigroup

type Rep1 First = D1 ('MetaData "First" "Data.Semigroup" "base" 'True) (C1 ('MetaCons "First" 'PrefixI 'True) (S1 ('MetaSel ('Just "getFirst") 'NoSourceUnpackedness 'NoSourceStrictness 'DecidedLazy) Par1))

Methods

from1 :: First a -> Rep1 First a Source #

to1 :: Rep1 First a -> First a Source #

Generic1 Last Source # 
Instance details

Defined in Data.Semigroup

Associated Types

type Rep1 Last

Since: base-4.9.0.0

Instance details

Defined in Data.Semigroup

type Rep1 Last = D1 ('MetaData "Last" "Data.Semigroup" "base" 'True) (C1 ('MetaCons "Last" 'PrefixI 'True) (S1 ('MetaSel ('Just "getLast") 'NoSourceUnpackedness 'NoSourceStrictness 'DecidedLazy) Par1))

Methods

from1 :: Last a -> Rep1 Last a Source #

to1 :: Rep1 Last a -> Last a Source #

Generic1 Max Source # 
Instance details

Defined in Data.Semigroup

Associated Types

type Rep1 Max

Since: base-4.9.0.0

Instance details

Defined in Data.Semigroup

type Rep1 Max = D1 ('MetaData "Max" "Data.Semigroup" "base" 'True) (C1 ('MetaCons "Max" 'PrefixI 'True) (S1 ('MetaSel ('Just "getMax") 'NoSourceUnpackedness 'NoSourceStrictness 'DecidedLazy) Par1))

Methods

from1 :: Max a -> Rep1 Max a Source #

to1 :: Rep1 Max a -> Max a Source #

Generic1 Min Source # 
Instance details

Defined in Data.Semigroup

Associated Types

type Rep1 Min

Since: base-4.9.0.0

Instance details

Defined in Data.Semigroup

type Rep1 Min = D1 ('MetaData "Min" "Data.Semigroup" "base" 'True) (C1 ('MetaCons "Min" 'PrefixI 'True) (S1 ('MetaSel ('Just "getMin") 'NoSourceUnpackedness 'NoSourceStrictness 'DecidedLazy) Par1))

Methods

from1 :: Min a -> Rep1 Min a Source #

to1 :: Rep1 Min a -> Min a Source #

Generic1 WrappedMonoid Source # 
Instance details

Defined in Data.Semigroup

Associated Types

type Rep1 WrappedMonoid

Since: base-4.9.0.0

Instance details

Defined in Data.Semigroup

type Rep1 WrappedMonoid = D1 ('MetaData "WrappedMonoid" "Data.Semigroup" "base" 'True) (C1 ('MetaCons "WrapMonoid" 'PrefixI 'True) (S1 ('MetaSel ('Just "unwrapMonoid") 'NoSourceUnpackedness 'NoSourceStrictness 'DecidedLazy) Par1))
Generic1 Dual Source # 
Instance details

Defined in Data.Semigroup.Internal

Associated Types

type Rep1 Dual

Since: base-4.7.0.0

Instance details

Defined in Data.Semigroup.Internal

type Rep1 Dual = D1 ('MetaData "Dual" "Data.Semigroup.Internal" "base" 'True) (C1 ('MetaCons "Dual" 'PrefixI 'True) (S1 ('MetaSel ('Just "getDual") 'NoSourceUnpackedness 'NoSourceStrictness 'DecidedLazy) Par1))

Methods

from1 :: Dual a -> Rep1 Dual a Source #

to1 :: Rep1 Dual a -> Dual a Source #

Generic1 Product Source # 
Instance details

Defined in Data.Semigroup.Internal

Associated Types

type Rep1 Product

Since: base-4.7.0.0

Instance details

Defined in Data.Semigroup.Internal

type Rep1 Product = D1 ('MetaData "Product" "Data.Semigroup.Internal" "base" 'True) (C1 ('MetaCons "Product" 'PrefixI 'True) (S1 ('MetaSel ('Just "getProduct") 'NoSourceUnpackedness 'NoSourceStrictness 'DecidedLazy) Par1))
Generic1 Sum Source # 
Instance details

Defined in Data.Semigroup.Internal

Associated Types

type Rep1 Sum

Since: base-4.7.0.0

Instance details

Defined in Data.Semigroup.Internal

type Rep1 Sum = D1 ('MetaData "Sum" "Data.Semigroup.Internal" "base" 'True) (C1 ('MetaCons "Sum" 'PrefixI 'True) (S1 ('MetaSel ('Just "getSum") 'NoSourceUnpackedness 'NoSourceStrictness 'DecidedLazy) Par1))

Methods

from1 :: Sum a -> Rep1 Sum a Source #

to1 :: Rep1 Sum a -> Sum a Source #

Generic1 NonEmpty Source # 
Instance details

Defined in GHC.Generics

Associated Types

type Rep1 NonEmpty

Since: base-4.6.0.0

Instance details

Defined in GHC.Generics

Generic1 Par1 Source # 
Instance details

Defined in GHC.Generics

Associated Types

type Rep1 Par1

Since: base-4.9.0.0

Instance details

Defined in GHC.Generics

type Rep1 Par1 = D1 ('MetaData "Par1" "GHC.Generics" "base" 'True) (C1 ('MetaCons "Par1" 'PrefixI 'True) (S1 ('MetaSel ('Just "unPar1") 'NoSourceUnpackedness 'NoSourceStrictness 'DecidedLazy) Par1))

Methods

from1 :: Par1 a -> Rep1 Par1 a Source #

to1 :: Rep1 Par1 a -> Par1 a Source #

Generic1 Maybe Source # 
Instance details

Defined in GHC.Generics

Associated Types

type Rep1 Maybe

Since: base-4.6.0.0

Instance details

Defined in GHC.Generics

type Rep1 Maybe = D1 ('MetaData "Maybe" "GHC.Maybe" "base" 'False) (C1 ('MetaCons "Nothing" 'PrefixI 'False) (U1 :: Type -> Type) :+: C1 ('MetaCons "Just" 'PrefixI 'False) (S1 ('MetaSel ('Nothing :: Maybe Symbol) 'NoSourceUnpackedness 'NoSourceStrictness 'DecidedLazy) Par1))

Methods

from1 :: Maybe a -> Rep1 Maybe a Source #

to1 :: Rep1 Maybe a -> Maybe a Source #

Generic1 Solo Source # 
Instance details

Defined in GHC.Generics

Associated Types

type Rep1 Solo

Since: base-4.15

Instance details

Defined in GHC.Generics

type Rep1 Solo = D1 ('MetaData "Solo" "GHC.Tuple.Prim" "ghc-prim" 'False) (C1 ('MetaCons "MkSolo" 'PrefixI 'False) (S1 ('MetaSel ('Nothing :: Maybe Symbol) 'NoSourceUnpackedness 'NoSourceStrictness 'DecidedLazy) Par1))

Methods

from1 :: (a) -> Rep1 Solo a Source #

to1 :: Rep1 Solo a -> (a) Source #

Generic1 List Source # 
Instance details

Defined in GHC.Generics

Associated Types

type Rep1 List

Since: base-4.6.0.0

Instance details

Defined in GHC.Generics

Methods

from1 :: [a] -> Rep1 List a Source #

to1 :: Rep1 List a -> [a] Source #

Monad m => Category (Kleisli m :: Type -> Type -> Type) Source #

Since: base-3.0

Instance details

Defined in Control.Arrow

Methods

id :: Kleisli m a a Source #

(.) :: Kleisli m b c -> Kleisli m a b -> Kleisli m a c Source #

Generic1 (WrappedMonad m :: Type -> Type) Source # 
Instance details

Defined in Control.Applicative

Associated Types

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

Since: base-4.7.0.0

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)))
Generic1 (Either a :: Type -> Type) Source # 
Instance details

Defined in GHC.Generics

Associated Types

type Rep1 (Either a :: Type -> Type)

Since: base-4.6.0.0

Instance details

Defined in GHC.Generics

Methods

from1 :: Either a a0 -> Rep1 (Either a) a0 Source #

to1 :: Rep1 (Either a) a0 -> Either a a0 Source #

Generic1 (Arg a :: Type -> Type) Source # 
Instance details

Defined in Data.Semigroup

Associated Types

type Rep1 (Arg a :: Type -> Type)

Since: base-4.9.0.0

Instance details

Defined in Data.Semigroup

Methods

from1 :: Arg a a0 -> Rep1 (Arg a) a0 Source #

to1 :: Rep1 (Arg a) a0 -> Arg a a0 Source #

Generic1 (Tuple2 a :: Type -> Type) Source # 
Instance details

Defined in GHC.Generics

Associated Types

type Rep1 (Tuple2 a :: Type -> Type)

Since: base-4.6.0.0

Instance details

Defined in GHC.Generics

Methods

from1 :: (a, a0) -> Rep1 (Tuple2 a) a0 Source #

to1 :: Rep1 (Tuple2 a) a0 -> (a, a0) Source #

Category (->) Source #

Since: base-3.0

Instance details

Defined in Control.Category

Methods

id :: a -> a Source #

(.) :: (b -> c) -> (a -> b) -> a -> c Source #

Generic1 (WrappedArrow a b :: Type -> Type) Source # 
Instance details

Defined in Control.Applicative

Associated Types

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

Since: base-4.7.0.0

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))))

Methods

from1 :: WrappedArrow a b a0 -> Rep1 (WrappedArrow a b) a0 Source #

to1 :: Rep1 (WrappedArrow a b) a0 -> WrappedArrow a b a0 Source #

Generic1 (Kleisli m a :: Type -> Type) Source # 
Instance details

Defined in Control.Arrow

Associated Types

type Rep1 (Kleisli m a :: Type -> Type)

Since: base-4.14.0.0

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) ((FUN 'Many a :: Type -> Type) :.: Rec1 m)))

Methods

from1 :: Kleisli m a a0 -> Rep1 (Kleisli m a) a0 Source #

to1 :: Rep1 (Kleisli m a) a0 -> Kleisli m a a0 Source #

Generic1 (Tuple3 a b :: Type -> Type) Source # 
Instance details

Defined in GHC.Generics

Associated Types

type Rep1 (Tuple3 a b :: Type -> Type)

Since: base-4.6.0.0

Instance details

Defined in GHC.Generics

Methods

from1 :: (a, b, a0) -> Rep1 (Tuple3 a b) a0 Source #

to1 :: Rep1 (Tuple3 a b) a0 -> (a, b, a0) Source #

Generic1 (Tuple4 a b c :: Type -> Type) Source # 
Instance details

Defined in GHC.Generics

Associated Types

type Rep1 (Tuple4 a b c :: Type -> Type)

Since: base-4.6.0.0

Instance details

Defined in GHC.Generics

Methods

from1 :: (a, b, c, a0) -> Rep1 (Tuple4 a b c) a0 Source #

to1 :: Rep1 (Tuple4 a b c) a0 -> (a, b, c, a0) Source #

Generic1 (Tuple5 a b c d :: Type -> Type) Source # 
Instance details

Defined in GHC.Generics

Methods

from1 :: (a, b, c, d, a0) -> Rep1 (Tuple5 a b c d) a0 Source #

to1 :: Rep1 (Tuple5 a b c d) a0 -> (a, b, c, d, a0) Source #

Functor f => Generic1 (Compose f g :: k -> Type) Source # 
Instance details

Defined in Data.Functor.Compose

Associated Types

type Rep1 (Compose f g :: k -> Type)

Since: base-4.9.0.0

Instance details

Defined in Data.Functor.Compose

type Rep1 (Compose f g :: k -> Type) = D1 ('MetaData "Compose" "Data.Functor.Compose" "base" 'True) (C1 ('MetaCons "Compose" 'PrefixI 'True) (S1 ('MetaSel ('Just "getCompose") 'NoSourceUnpackedness 'NoSourceStrictness 'DecidedLazy) (f :.: Rec1 g)))

Methods

from1 :: forall (a :: k). Compose f g a -> Rep1 (Compose f g) a Source #

to1 :: forall (a :: k). Rep1 (Compose f g) a -> Compose f g a Source #

Functor f => Generic1 (f :.: g :: k -> Type) Source # 
Instance details

Defined in GHC.Generics

Associated Types

type Rep1 (f :.: g :: k -> Type)

Since: base-4.9.0.0

Instance details

Defined in GHC.Generics

type Rep1 (f :.: g :: k -> Type) = D1 ('MetaData ":.:" "GHC.Generics" "base" 'True) (C1 ('MetaCons "Comp1" 'PrefixI 'True) (S1 ('MetaSel ('Just "unComp1") 'NoSourceUnpackedness 'NoSourceStrictness 'DecidedLazy) (f :.: Rec1 g)))

Methods

from1 :: forall (a :: k). (f :.: g) a -> Rep1 (f :.: g) a Source #

to1 :: forall (a :: k). Rep1 (f :.: g) a -> (f :.: g) a Source #

Generic1 (Tuple6 a b c d e :: Type -> Type) Source # 
Instance details

Defined in GHC.Generics

Methods

from1 :: (a, b, c, d, e, a0) -> Rep1 (Tuple6 a b c d e) a0 Source #

to1 :: Rep1 (Tuple6 a b c d e) a0 -> (a, b, c, d, e, a0) Source #

Generic1 (Tuple7 a b c d e f :: Type -> Type) Source # 
Instance details

Defined in GHC.Generics

Methods

from1 :: (a, b, c, d, e, f, a0) -> Rep1 (Tuple7 a b c d e f) a0 Source #

to1 :: Rep1 (Tuple7 a b c d e f) a0 -> (a, b, c, d, e, f, a0) Source #

Generic1 (Tuple8 a b c d e f g :: Type -> Type) Source # 
Instance details

Defined in GHC.Generics

Methods

from1 :: (a, b, c, d, e, f, g, a0) -> Rep1 (Tuple8 a b c d e f g) a0 Source #

to1 :: Rep1 (Tuple8 a b c d e f g) a0 -> (a, b, c, d, e, f, g, a0) Source #

Generic1 (Tuple9 a b c d e f g h :: Type -> Type) Source # 
Instance details

Defined in GHC.Generics

Methods

from1 :: (a, b, c, d, e, f, g, h, a0) -> Rep1 (Tuple9 a b c d e f g h) a0 Source #

to1 :: Rep1 (Tuple9 a b c d e f g h) a0 -> (a, b, c, d, e, f, g, h, a0) Source #

Generic1 (Tuple10 a b c d e f g h i :: Type -> Type) Source # 
Instance details

Defined in GHC.Generics

Methods

from1 :: (a, b, c, d, e, f, g, h, i, a0) -> Rep1 (Tuple10 a b c d e f g h i) a0 Source #

to1 :: Rep1 (Tuple10 a b c d e f g h i) a0 -> (a, b, c, d, e, f, g, h, i, a0) Source #

Generic1 (Tuple11 a b c d e f g h i j :: Type -> Type) Source # 
Instance details

Defined in GHC.Generics

Associated Types

type Rep1 (Tuple11 a b c d e f g h i j :: Type -> Type)

Since: base-4.16.0.0

Instance details

Defined in GHC.Generics

Methods

from1 :: (a, b, c, d, e, f, g, h, i, j, a0) -> Rep1 (Tuple11 a b c d e f g h i j) a0 Source #

to1 :: Rep1 (Tuple11 a b c d e f g h i j) a0 -> (a, b, c, d, e, f, g, h, i, j, a0) Source #

Generic1 (Tuple12 a b c d e f g h i j k :: Type -> Type) Source # 
Instance details

Defined in GHC.Generics

Associated Types

type Rep1 (Tuple12 a b c d e f g h i j k :: Type -> Type)

Since: base-4.16.0.0

Instance details

Defined in GHC.Generics

Methods

from1 :: (a, b, c, d, e, f, g, h, i, j, k, a0) -> Rep1 (Tuple12 a b c d e f g h i j k) a0 Source #

to1 :: Rep1 (Tuple12 a b c d e f g h i j k) a0 -> (a, b, c, d, e, f, g, h, i, j, k, a0) Source #

Generic1 (Tuple13 a b c d e f g h i j k l :: Type -> Type) Source # 
Instance details

Defined in GHC.Generics

Associated Types

type Rep1 (Tuple13 a b c d e f g h i j k l :: Type -> Type)

Since: base-4.16.0.0

Instance details

Defined in GHC.Generics

type Rep1 (Tuple13 a b c d e f g h i j k l :: Type -> Type) = D1 ('MetaData "Tuple13" "GHC.Tuple.Prim" "ghc-prim" 'False) (C1 ('MetaCons "(,,,,,,,,,,,,)" 'PrefixI 'False) (((S1 ('MetaSel ('Nothing :: Maybe Symbol) 'NoSourceUnpackedness 'NoSourceStrictness 'DecidedLazy) (Rec0 a) :*: (S1 ('MetaSel ('Nothing :: Maybe Symbol) 'NoSourceUnpackedness 'NoSourceStrictness 'DecidedLazy) (Rec0 b) :*: S1 ('MetaSel ('Nothing :: Maybe Symbol) 'NoSourceUnpackedness 'NoSourceStrictness 'DecidedLazy) (Rec0 c))) :*: (S1 ('MetaSel ('Nothing :: Maybe Symbol) 'NoSourceUnpackedness 'NoSourceStrictness 'DecidedLazy) (Rec0 d) :*: (S1 ('MetaSel ('Nothing :: Maybe Symbol) 'NoSourceUnpackedness 'NoSourceStrictness 'DecidedLazy) (Rec0 e) :*: S1 ('MetaSel ('Nothing :: Maybe Symbol) 'NoSourceUnpackedness 'NoSourceStrictness 'DecidedLazy) (Rec0 f)))) :*: ((S1 ('MetaSel ('Nothing :: Maybe Symbol) 'NoSourceUnpackedness 'NoSourceStrictness 'DecidedLazy) (Rec0 g) :*: (S1 ('MetaSel ('Nothing :: Maybe Symbol) 'NoSourceUnpackedness 'NoSourceStrictness 'DecidedLazy) (Rec0 h) :*: S1 ('MetaSel ('Nothing :: Maybe Symbol) 'NoSourceUnpackedness 'NoSourceStrictness 'DecidedLazy) (Rec0 i))) :*: ((S1 ('MetaSel ('Nothing :: Maybe Symbol) 'NoSourceUnpackedness 'NoSourceStrictness 'DecidedLazy) (Rec0 j) :*: S1 ('MetaSel ('Nothing :: Maybe Symbol) 'NoSourceUnpackedness 'NoSourceStrictness 'DecidedLazy) (Rec0 k)) :*: (S1 ('MetaSel ('Nothing :: Maybe Symbol) 'NoSourceUnpackedness 'NoSourceStrictness 'DecidedLazy) (Rec0 l) :*: S1 ('MetaSel ('Nothing :: Maybe Symbol) 'NoSourceUnpackedness 'NoSourceStrictness 'DecidedLazy) Par1)))))

Methods

from1 :: (a, b, c, d, e, f, g, h, i, j, k, l, a0) -> Rep1 (Tuple13 a b c d e f g h i j k l) a0 Source #

to1 :: Rep1 (Tuple13 a b c d e f g h i j k l) a0 -> (a, b, c, d, e, f, g, h, i, j, k, l, a0) Source #

Generic1 (Tuple14 a b c d e f g h i j k l m :: Type -> Type) Source # 
Instance details

Defined in GHC.Generics

Associated Types

type Rep1 (Tuple14 a b c d e f g h i j k l m :: Type -> Type)

Since: base-4.16.0.0

Instance details

Defined in GHC.Generics

type Rep1 (Tuple14 a b c d e f g h i j k l m :: Type -> Type) = D1 ('MetaData "Tuple14" "GHC.Tuple.Prim" "ghc-prim" 'False) (C1 ('MetaCons "(,,,,,,,,,,,,,)" 'PrefixI 'False) (((S1 ('MetaSel ('Nothing :: Maybe Symbol) 'NoSourceUnpackedness 'NoSourceStrictness 'DecidedLazy) (Rec0 a) :*: (S1 ('MetaSel ('Nothing :: Maybe Symbol) 'NoSourceUnpackedness 'NoSourceStrictness 'DecidedLazy) (Rec0 b) :*: S1 ('MetaSel ('Nothing :: Maybe Symbol) 'NoSourceUnpackedness 'NoSourceStrictness 'DecidedLazy) (Rec0 c))) :*: ((S1 ('MetaSel ('Nothing :: Maybe Symbol) 'NoSourceUnpackedness 'NoSourceStrictness 'DecidedLazy) (Rec0 d) :*: S1 ('MetaSel ('Nothing :: Maybe Symbol) 'NoSourceUnpackedness 'NoSourceStrictness 'DecidedLazy) (Rec0 e)) :*: (S1 ('MetaSel ('Nothing :: Maybe Symbol) 'NoSourceUnpackedness 'NoSourceStrictness 'DecidedLazy) (Rec0 f) :*: S1 ('MetaSel ('Nothing :: Maybe Symbol) 'NoSourceUnpackedness 'NoSourceStrictness 'DecidedLazy) (Rec0 g)))) :*: ((S1 ('MetaSel ('Nothing :: Maybe Symbol) 'NoSourceUnpackedness 'NoSourceStrictness 'DecidedLazy) (Rec0 h) :*: (S1 ('MetaSel ('Nothing :: Maybe Symbol) 'NoSourceUnpackedness 'NoSourceStrictness 'DecidedLazy) (Rec0 i) :*: S1 ('MetaSel ('Nothing :: Maybe Symbol) 'NoSourceUnpackedness 'NoSourceStrictness 'DecidedLazy) (Rec0 j))) :*: ((S1 ('MetaSel ('Nothing :: Maybe Symbol) 'NoSourceUnpackedness 'NoSourceStrictness 'DecidedLazy) (Rec0 k) :*: S1 ('MetaSel ('Nothing :: Maybe Symbol) 'NoSourceUnpackedness 'NoSourceStrictness 'DecidedLazy) (Rec0 l)) :*: (S1 ('MetaSel ('Nothing :: Maybe Symbol) 'NoSourceUnpackedness 'NoSourceStrictness 'DecidedLazy) (Rec0 m) :*: S1 ('MetaSel ('Nothing :: Maybe Symbol) 'NoSourceUnpackedness 'NoSourceStrictness 'DecidedLazy) Par1)))))

Methods

from1 :: (a, b, c, d, e, f, g, h, i, j, k, l, m, a0) -> Rep1 (Tuple14 a b c d e f g h i j k l m) a0 Source #

to1 :: Rep1 (Tuple14 a b c d e f g h i j k l m) a0 -> (a, b, c, d, e, f, g, h, i, j, k, l, m, a0) Source #

Generic1 (Tuple15 a b c d e f g h i j k l m n :: Type -> Type) Source # 
Instance details

Defined in GHC.Generics

Associated Types

type Rep1 (Tuple15 a b c d e f g h i j k l m n :: Type -> Type)

Since: base-4.16.0.0

Instance details

Defined in GHC.Generics

type Rep1 (Tuple15 a b c d e f g h i j k l m n :: Type -> Type) = D1 ('MetaData "Tuple15" "GHC.Tuple.Prim" "ghc-prim" 'False) (C1 ('MetaCons "(,,,,,,,,,,,,,,)" 'PrefixI 'False) (((S1 ('MetaSel ('Nothing :: Maybe Symbol) 'NoSourceUnpackedness 'NoSourceStrictness 'DecidedLazy) (Rec0 a) :*: (S1 ('MetaSel ('Nothing :: Maybe Symbol) 'NoSourceUnpackedness 'NoSourceStrictness 'DecidedLazy) (Rec0 b) :*: S1 ('MetaSel ('Nothing :: Maybe Symbol) 'NoSourceUnpackedness 'NoSourceStrictness 'DecidedLazy) (Rec0 c))) :*: ((S1 ('MetaSel ('Nothing :: Maybe Symbol) 'NoSourceUnpackedness 'NoSourceStrictness 'DecidedLazy) (Rec0 d) :*: S1 ('MetaSel ('Nothing :: Maybe Symbol) 'NoSourceUnpackedness 'NoSourceStrictness 'DecidedLazy) (Rec0 e)) :*: (S1 ('MetaSel ('Nothing :: Maybe Symbol) 'NoSourceUnpackedness 'NoSourceStrictness 'DecidedLazy) (Rec0 f) :*: S1 ('MetaSel ('Nothing :: Maybe Symbol) 'NoSourceUnpackedness 'NoSourceStrictness 'DecidedLazy) (Rec0 g)))) :*: (((S1 ('MetaSel ('Nothing :: Maybe Symbol) 'NoSourceUnpackedness 'NoSourceStrictness 'DecidedLazy) (Rec0 h) :*: S1 ('MetaSel ('Nothing :: Maybe Symbol) 'NoSourceUnpackedness 'NoSourceStrictness 'DecidedLazy) (Rec0 i)) :*: (S1 ('MetaSel ('Nothing :: Maybe Symbol) 'NoSourceUnpackedness 'NoSourceStrictness 'DecidedLazy) (Rec0 j) :*: S1 ('MetaSel ('Nothing :: Maybe Symbol) 'NoSourceUnpackedness 'NoSourceStrictness 'DecidedLazy) (Rec0 k))) :*: ((S1 ('MetaSel ('Nothing :: Maybe Symbol) 'NoSourceUnpackedness 'NoSourceStrictness 'DecidedLazy) (Rec0 l) :*: S1 ('MetaSel ('Nothing :: Maybe Symbol) 'NoSourceUnpackedness 'NoSourceStrictness 'DecidedLazy) (Rec0 m)) :*: (S1 ('MetaSel ('Nothing :: Maybe Symbol) 'NoSourceUnpackedness 'NoSourceStrictness 'DecidedLazy) (Rec0 n) :*: S1 ('MetaSel ('Nothing :: Maybe Symbol) 'NoSourceUnpackedness 'NoSourceStrictness 'DecidedLazy) Par1)))))

Methods

from1 :: (a, b, c, d, e, f, g, h, i, j, k, l, m, n, a0) -> Rep1 (Tuple15 a b c d e f g h i j k l m n) a0 Source #

to1 :: Rep1 (Tuple15 a b c d e f g h i j k l m n) a0 -> (a, b, c, d, e, f, g, h, i, j, k, l, m, n, a0) Source #

MonadZip (Proxy :: Type -> Type) Source #

Since: base-4.9.0.0

Instance details

Defined in Control.Monad.Zip

Methods

mzip :: Proxy a -> Proxy b -> Proxy (a, b) Source #

mzipWith :: (a -> b -> c) -> Proxy a -> Proxy b -> Proxy c Source #

munzip :: Proxy (a, b) -> (Proxy a, Proxy b) Source #

MonadZip (U1 :: Type -> Type) Source #

Since: base-4.9.0.0

Instance details

Defined in Control.Monad.Zip

Methods

mzip :: U1 a -> U1 b -> U1 (a, b) Source #

mzipWith :: (a -> b -> c) -> U1 a -> U1 b -> U1 c Source #

munzip :: U1 (a, b) -> (U1 a, U1 b) Source #

Bifoldable (Const :: Type -> Type -> Type) Source #

Since: base-4.10.0.0

Instance details

Defined in Data.Bifoldable

Methods

bifold :: Monoid m => Const m m -> m Source #

bifoldMap :: Monoid m => (a -> m) -> (b -> m) -> Const a b -> m Source #

bifoldr :: (a -> c -> c) -> (b -> c -> c) -> c -> Const a b -> c Source #

bifoldl :: (c -> a -> c) -> (c -> b -> c) -> c -> Const a b -> c Source #

Bifoldable1 (Const :: Type -> Type -> Type) Source # 
Instance details

Defined in Data.Bifoldable1

Methods

bifold1 :: Semigroup m => Const m m -> m Source #

bifoldMap1 :: Semigroup m => (a -> m) -> (b -> m) -> Const a b -> m Source #

Bifunctor (Const :: Type -> Type -> Type) Source #

Since: base-4.8.0.0

Instance details

Defined in Data.Bifunctor

Methods

bimap :: (a -> b) -> (c -> d) -> Const a c -> Const b d Source #

first :: (a -> b) -> Const a c -> Const b c Source #

second :: (b -> c) -> Const a b -> Const a c Source #

Bitraversable (Const :: Type -> Type -> Type) Source #

Since: base-4.10.0.0

Instance details

Defined in Data.Bitraversable

Methods

bitraverse :: Applicative f => (a -> f c) -> (b -> f d) -> Const a b -> f (Const c d) Source #

Foldable (Proxy :: Type -> Type) Source #

Since: base-4.7.0.0

Instance details

Defined in Data.Foldable

Methods

fold :: Monoid m => Proxy m -> m Source #

foldMap :: Monoid m => (a -> m) -> Proxy a -> m Source #

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

foldr :: (a -> b -> b) -> b -> Proxy a -> b Source #

foldr' :: (a -> b -> b) -> b -> Proxy a -> b Source #

foldl :: (b -> a -> b) -> b -> Proxy a -> b Source #

foldl' :: (b -> a -> b) -> b -> Proxy a -> b Source #

foldr1 :: (a -> a -> a) -> Proxy a -> a Source #

foldl1 :: (a -> a -> a) -> Proxy a -> a Source #

toList :: Proxy a -> [a] Source #

null :: Proxy a -> Bool Source #

length :: Proxy a -> Int Source #

elem :: Eq a => a -> Proxy a -> Bool Source #

maximum :: Ord a => Proxy a -> a Source #

minimum :: Ord a => Proxy a -> a Source #

sum :: Num a => Proxy a -> a Source #

product :: Num a => Proxy a -> a Source #

Foldable (U1 :: Type -> Type) Source #

Since: base-4.9.0.0

Instance details

Defined in Data.Foldable

Methods

fold :: Monoid m => U1 m -> m Source #

foldMap :: Monoid m => (a -> m) -> U1 a -> m Source #

foldMap' :: Monoid m => (a -> m) -> U1 a -> m Source #

foldr :: (a -> b -> b) -> b -> U1 a -> b Source #

foldr' :: (a -> b -> b) -> b -> U1 a -> b Source #

foldl :: (b -> a -> b) -> b -> U1 a -> b Source #

foldl' :: (b -> a -> b) -> b -> U1 a -> b Source #

foldr1 :: (a -> a -> a) -> U1 a -> a Source #

foldl1 :: (a -> a -> a) -> U1 a -> a Source #

toList :: U1 a -> [a] Source #

null :: U1 a -> Bool Source #

length :: U1 a -> Int Source #

elem :: Eq a => a -> U1 a -> Bool Source #

maximum :: Ord a => U1 a -> a Source #

minimum :: Ord a => U1 a -> a Source #

sum :: Num a => U1 a -> a Source #

product :: Num a => U1 a -> a Source #

Foldable (UAddr :: Type -> Type) Source #

Since: base-4.9.0.0

Instance details

Defined in Data.Foldable

Methods

fold :: Monoid m => UAddr m -> m Source #

foldMap :: Monoid m => (a -> m) -> UAddr a -> m Source #

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

foldr :: (a -> b -> b) -> b -> UAddr a -> b Source #

foldr' :: (a -> b -> b) -> b -> UAddr a -> b Source #

foldl :: (b -> a -> b) -> b -> UAddr a -> b Source #

foldl' :: (b -> a -> b) -> b -> UAddr a -> b Source #

foldr1 :: (a -> a -> a) -> UAddr a -> a Source #

foldl1 :: (a -> a -> a) -> UAddr a -> a Source #

toList :: UAddr a -> [a] Source #

null :: UAddr a -> Bool Source #

length :: UAddr a -> Int Source #

elem :: Eq a => a -> UAddr a -> Bool Source #

maximum :: Ord a => UAddr a -> a Source #

minimum :: Ord a => UAddr a -> a Source #

sum :: Num a => UAddr a -> a Source #

product :: Num a => UAddr a -> a Source #

Foldable (UChar :: Type -> Type) Source #

Since: base-4.9.0.0

Instance details

Defined in Data.Foldable

Methods

fold :: Monoid m => UChar m -> m Source #

foldMap :: Monoid m => (a -> m) -> UChar a -> m Source #

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

foldr :: (a -> b -> b) -> b -> UChar a -> b Source #

foldr' :: (a -> b -> b) -> b -> UChar a -> b Source #

foldl :: (b -> a -> b) -> b -> UChar a -> b Source #

foldl' :: (b -> a -> b) -> b -> UChar a -> b Source #

foldr1 :: (a -> a -> a) -> UChar a -> a Source #

foldl1 :: (a -> a -> a) -> UChar a -> a Source #

toList :: UChar a -> [a] Source #

null :: UChar a -> Bool Source #

length :: UChar a -> Int Source #

elem :: Eq a => a -> UChar a -> Bool Source #

maximum :: Ord a => UChar a -> a Source #

minimum :: Ord a => UChar a -> a Source #

sum :: Num a => UChar a -> a Source #

product :: Num a => UChar a -> a Source #

Foldable (UDouble :: Type -> Type) Source #

Since: base-4.9.0.0

Instance details

Defined in Data.Foldable

Methods

fold :: Monoid m => UDouble m -> m Source #

foldMap :: Monoid m => (a -> m) -> UDouble a -> m Source #

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

foldr :: (a -> b -> b) -> b -> UDouble a -> b Source #

foldr' :: (a -> b -> b) -> b -> UDouble a -> b Source #

foldl :: (b -> a -> b) -> b -> UDouble a -> b Source #

foldl' :: (b -> a -> b) -> b -> UDouble a -> b Source #

foldr1 :: (a -> a -> a) -> UDouble a -> a Source #

foldl1 :: (a -> a -> a) -> UDouble a -> a Source #

toList :: UDouble a -> [a] Source #

null :: UDouble a -> Bool Source #

length :: UDouble a -> Int Source #

elem :: Eq a => a -> UDouble a -> Bool Source #

maximum :: Ord a => UDouble a -> a Source #

minimum :: Ord a => UDouble a -> a Source #

sum :: Num a => UDouble a -> a Source #

product :: Num a => UDouble a -> a Source #

Foldable (UFloat :: Type -> Type) Source #

Since: base-4.9.0.0

Instance details

Defined in Data.Foldable

Methods

fold :: Monoid m => UFloat m -> m Source #

foldMap :: Monoid m => (a -> m) -> UFloat a -> m Source #

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

foldr :: (a -> b -> b) -> b -> UFloat a -> b Source #

foldr' :: (a -> b -> b) -> b -> UFloat a -> b Source #

foldl :: (b -> a -> b) -> b -> UFloat a -> b Source #

foldl' :: (b -> a -> b) -> b -> UFloat a -> b Source #

foldr1 :: (a -> a -> a) -> UFloat a -> a Source #

foldl1 :: (a -> a -> a) -> UFloat a -> a Source #

toList :: UFloat a -> [a] Source #

null :: UFloat a -> Bool Source #

length :: UFloat a -> Int Source #

elem :: Eq a => a -> UFloat a -> Bool Source #

maximum :: Ord a => UFloat a -> a Source #

minimum :: Ord a => UFloat a -> a Source #

sum :: Num a => UFloat a -> a Source #

product :: Num a => UFloat a -> a Source #

Foldable (UInt :: Type -> Type) Source #

Since: base-4.9.0.0

Instance details

Defined in Data.Foldable

Methods

fold :: Monoid m => UInt m -> m Source #

foldMap :: Monoid m => (a -> m) -> UInt a -> m Source #

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

foldr :: (a -> b -> b) -> b -> UInt a -> b Source #

foldr' :: (a -> b -> b) -> b -> UInt a -> b Source #

foldl :: (b -> a -> b) -> b -> UInt a -> b Source #

foldl' :: (b -> a -> b) -> b -> UInt a -> b Source #

foldr1 :: (a -> a -> a) -> UInt a -> a Source #

foldl1 :: (a -> a -> a) -> UInt a -> a Source #

toList :: UInt a -> [a] Source #

null :: UInt a -> Bool Source #

length :: UInt a -> Int Source #

elem :: Eq a => a -> UInt a -> Bool Source #

maximum :: Ord a => UInt a -> a Source #

minimum :: Ord a => UInt a -> a Source #

sum :: Num a => UInt a -> a Source #

product :: Num a => UInt a -> a Source #

Foldable (UWord :: Type -> Type) Source #

Since: base-4.9.0.0

Instance details

Defined in Data.Foldable

Methods

fold :: Monoid m => UWord m -> m Source #

foldMap :: Monoid m => (a -> m) -> UWord a -> m Source #

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

foldr :: (a -> b -> b) -> b -> UWord a -> b Source #

foldr' :: (a -> b -> b) -> b -> UWord a -> b Source #

foldl :: (b -> a -> b) -> b -> UWord a -> b Source #

foldl' :: (b -> a -> b) -> b -> UWord a -> b Source #

foldr1 :: (a -> a -> a) -> UWord a -> a Source #

foldl1 :: (a -> a -> a) -> UWord a -> a Source #

toList :: UWord a -> [a] Source #

null :: UWord a -> Bool Source #

length :: UWord a -> Int Source #

elem :: Eq a => a -> UWord a -> Bool Source #

maximum :: Ord a => UWord a -> a Source #

minimum :: Ord a => UWord a -> a Source #

sum :: Num a => UWord a -> a Source #

product :: Num a => UWord a -> a Source #

Foldable (V1 :: Type -> Type) Source #

Since: base-4.9.0.0

Instance details

Defined in Data.Foldable

Methods

fold :: Monoid m => V1 m -> m Source #

foldMap :: Monoid m => (a -> m) -> V1 a -> m Source #

foldMap' :: Monoid m => (a -> m) -> V1 a -> m Source #

foldr :: (a -> b -> b) -> b -> V1 a -> b Source #

foldr' :: (a -> b -> b) -> b -> V1 a -> b Source #

foldl :: (b -> a -> b) -> b -> V1 a -> b Source #

foldl' :: (b -> a -> b) -> b -> V1 a -> b Source #

foldr1 :: (a -> a -> a) -> V1 a -> a Source #

foldl1 :: (a -> a -> a) -> V1 a -> a Source #

toList :: V1 a -> [a] Source #

null :: V1 a -> Bool Source #

length :: V1 a -> Int Source #

elem :: Eq a => a -> V1 a -> Bool Source #

maximum :: Ord a => V1 a -> a Source #

minimum :: Ord a => V1 a -> a Source #

sum :: Num a => V1 a -> a Source #

product :: Num a => V1 a -> a Source #

Foldable1 (V1 :: Type -> Type) Source #

Since: base-4.18.0.0

Instance details

Defined in Data.Foldable1

Methods

fold1 :: Semigroup m => V1 m -> m Source #

foldMap1 :: Semigroup m => (a -> m) -> V1 a -> m Source #

foldMap1' :: Semigroup m => (a -> m) -> V1 a -> m Source #

toNonEmpty :: V1 a -> NonEmpty a Source #

maximum :: Ord a => V1 a -> a Source #

minimum :: Ord a => V1 a -> a Source #

head :: V1 a -> a Source #

last :: V1 a -> a Source #

foldrMap1 :: (a -> b) -> (a -> b -> b) -> V1 a -> b Source #

foldlMap1' :: (a -> b) -> (b -> a -> b) -> V1 a -> b Source #

foldlMap1 :: (a -> b) -> (b -> a -> b) -> V1 a -> b Source #

foldrMap1' :: (a -> b) -> (a -> b -> b) -> V1 a -> b Source #

Eq1 (Proxy :: Type -> Type) Source #

Since: base-4.9.0.0

Instance details

Defined in Data.Functor.Classes

Methods

liftEq :: (a -> b -> Bool) -> Proxy a -> Proxy b -> Bool Source #

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

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 Source #

Ord1 (Proxy :: Type -> Type) Source #

Since: base-4.9.0.0

Instance details

Defined in Data.Functor.Classes

Methods

liftCompare :: (a -> b -> Ordering) -> Proxy a -> Proxy b -> Ordering Source #

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

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 Source #

Read1 (Proxy :: Type -> Type) Source #

Since: base-4.9.0.0

Instance details

Defined in Data.Functor.Classes

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

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) Source #

liftReadList2 :: (Int -> ReadS a) -> ReadS [a] -> (Int -> ReadS b) -> ReadS [b] -> ReadS [Const a b] Source #

liftReadPrec2 :: ReadPrec a -> ReadPrec [a] -> ReadPrec b -> ReadPrec [b] -> ReadPrec (Const a b) Source #

liftReadListPrec2 :: ReadPrec a -> ReadPrec [a] -> ReadPrec b -> ReadPrec [b] -> ReadPrec [Const a b] Source #

Show1 (Proxy :: Type -> Type) Source #

Since: base-4.9.0.0

Instance details

Defined in Data.Functor.Classes

Methods

liftShowsPrec :: (Int -> a -> ShowS) -> ([a] -> ShowS) -> Int -> Proxy a -> ShowS Source #

liftShowList :: (Int -> a -> ShowS) -> ([a] -> ShowS) -> [Proxy a] -> ShowS Source #

Show2 (Const :: Type -> Type -> Type) Source #

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 Source #

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

Contravariant (Proxy :: Type -> Type) Source # 
Instance details

Defined in Data.Functor.Contravariant

Methods

contramap :: (a' -> a) -> Proxy a -> Proxy a' Source #

(>$) :: b -> Proxy b -> Proxy a Source #

Contravariant (U1 :: Type -> Type) Source # 
Instance details

Defined in Data.Functor.Contravariant

Methods

contramap :: (a' -> a) -> U1 a -> U1 a' Source #

(>$) :: b -> U1 b -> U1 a Source #

Contravariant (V1 :: Type -> Type) Source # 
Instance details

Defined in Data.Functor.Contravariant

Methods

contramap :: (a' -> a) -> V1 a -> V1 a' Source #

(>$) :: b -> V1 b -> V1 a Source #

Traversable (Proxy :: Type -> Type) Source #

Since: base-4.7.0.0

Instance details

Defined in Data.Traversable

Methods

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

sequenceA :: Applicative f => Proxy (f a) -> f (Proxy a) Source #

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

sequence :: Monad m => Proxy (m a) -> m (Proxy a) Source #

Traversable (U1 :: Type -> Type) Source #

Since: base-4.9.0.0

Instance details

Defined in Data.Traversable

Methods

traverse :: Applicative f => (a -> f b) -> U1 a -> f (U1 b) Source #

sequenceA :: Applicative f => U1 (f a) -> f (U1 a) Source #

mapM :: Monad m => (a -> m b) -> U1 a -> m (U1 b) Source #

sequence :: Monad m => U1 (m a) -> m (U1 a) Source #

Traversable (UAddr :: Type -> Type) Source #

Since: base-4.9.0.0

Instance details

Defined in Data.Traversable

Methods

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

sequenceA :: Applicative f => UAddr (f a) -> f (UAddr a) Source #

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

sequence :: Monad m => UAddr (m a) -> m (UAddr a) Source #

Traversable (UChar :: Type -> Type) Source #

Since: base-4.9.0.0

Instance details

Defined in Data.Traversable

Methods

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

sequenceA :: Applicative f => UChar (f a) -> f (UChar a) Source #

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

sequence :: Monad m => UChar (m a) -> m (UChar a) Source #

Traversable (UDouble :: Type -> Type) Source #

Since: base-4.9.0.0

Instance details

Defined in Data.Traversable

Methods

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

sequenceA :: Applicative f => UDouble (f a) -> f (UDouble a) Source #

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

sequence :: Monad m => UDouble (m a) -> m (UDouble a) Source #

Traversable (UFloat :: Type -> Type) Source #

Since: base-4.9.0.0

Instance details

Defined in Data.Traversable

Methods

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

sequenceA :: Applicative f => UFloat (f a) -> f (UFloat a) Source #

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

sequence :: Monad m => UFloat (m a) -> m (UFloat a) Source #

Traversable (UInt :: Type -> Type) Source #

Since: base-4.9.0.0

Instance details

Defined in Data.Traversable

Methods

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

sequenceA :: Applicative f => UInt (f a) -> f (UInt a) Source #

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

sequence :: Monad m => UInt (m a) -> m (UInt a) Source #

Traversable (UWord :: Type -> Type) Source #

Since: base-4.9.0.0

Instance details

Defined in Data.Traversable

Methods

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

sequenceA :: Applicative f => UWord (f a) -> f (UWord a) Source #

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

sequence :: Monad m => UWord (m a) -> m (UWord a) Source #

Traversable (V1 :: Type -> Type) Source #

Since: base-4.9.0.0

Instance details

Defined in Data.Traversable

Methods

traverse :: Applicative f => (a -> f b) -> V1 a -> f (V1 b) Source #

sequenceA :: Applicative f => V1 (f a) -> f (V1 a) Source #

mapM :: Monad m => (a -> m b) -> V1 a -> m (V1 b) Source #

sequence :: Monad m => V1 (m a) -> m (V1 a) Source #

Alternative (Proxy :: Type -> Type) Source #

Since: base-4.9.0.0

Instance details

Defined in Data.Proxy

Methods

empty :: Proxy a Source #

(<|>) :: Proxy a -> Proxy a -> Proxy a Source #

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

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

Alternative (U1 :: Type -> Type) Source #

Since: base-4.9.0.0

Instance details

Defined in GHC.Generics

Methods

empty :: U1 a Source #

(<|>) :: U1 a -> U1 a -> U1 a Source #

some :: U1 a -> U1 [a] Source #

many :: U1 a -> U1 [a] Source #

Applicative (Proxy :: Type -> Type) Source #

Since: base-4.7.0.0

Instance details

Defined in Data.Proxy

Methods

pure :: a -> Proxy a Source #

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

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

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

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

Applicative (U1 :: Type -> Type) Source #

Since: base-4.9.0.0

Instance details

Defined in GHC.Generics

Methods

pure :: a -> U1 a Source #

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

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

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

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

Functor (Proxy :: Type -> Type) Source #

Since: base-4.7.0.0

Instance details

Defined in Data.Proxy

Methods

fmap :: (a -> b) -> Proxy a -> Proxy b Source #

(<$) :: a -> Proxy b -> Proxy a Source #

Functor (U1 :: Type -> Type) Source #

Since: base-4.9.0.0

Instance details

Defined in GHC.Generics

Methods

fmap :: (a -> b) -> U1 a -> U1 b Source #

(<$) :: a -> U1 b -> U1 a Source #

Functor (V1 :: Type -> Type) Source #

Since: base-4.9.0.0

Instance details

Defined in GHC.Generics

Methods

fmap :: (a -> b) -> V1 a -> V1 b Source #

(<$) :: a -> V1 b -> V1 a Source #

Monad (Proxy :: Type -> Type) Source #

Since: base-4.7.0.0

Instance details

Defined in Data.Proxy

Methods

(>>=) :: Proxy a -> (a -> Proxy b) -> Proxy b Source #

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

return :: a -> Proxy a Source #

Monad (U1 :: Type -> Type) Source #

Since: base-4.9.0.0

Instance details

Defined in GHC.Generics

Methods

(>>=) :: U1 a -> (a -> U1 b) -> U1 b Source #

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

return :: a -> U1 a Source #

MonadPlus (Proxy :: Type -> Type) Source #

Since: base-4.9.0.0

Instance details

Defined in Data.Proxy

Methods

mzero :: Proxy a Source #

mplus :: Proxy a -> Proxy a -> Proxy a Source #

MonadPlus (U1 :: Type -> Type) Source #

Since: base-4.9.0.0

Instance details

Defined in GHC.Generics

Methods

mzero :: U1 a Source #

mplus :: U1 a -> U1 a -> U1 a Source #

MonadFail f => MonadFail (Ap f) Source #

Since: base-4.12.0.0

Instance details

Defined in Data.Monoid

Methods

fail :: String -> Ap f a Source #

MonadFix f => MonadFix (Ap f) Source #

Since: base-4.12.0.0

Instance details

Defined in Control.Monad.Fix

Methods

mfix :: (a -> Ap f a) -> Ap f a Source #

MonadFix f => MonadFix (Alt f) Source #

Since: base-4.8.0.0

Instance details

Defined in Control.Monad.Fix

Methods

mfix :: (a -> Alt f a) -> Alt f a Source #

MonadFix f => MonadFix (Rec1 f) Source #

Since: base-4.9.0.0

Instance details

Defined in Control.Monad.Fix

Methods

mfix :: (a -> Rec1 f a) -> Rec1 f a Source #

MonadZip f => MonadZip (Alt f) Source #

Since: base-4.8.0.0

Instance details

Defined in Control.Monad.Zip

Methods

mzip :: Alt f a -> Alt f b -> Alt f (a, b) Source #

mzipWith :: (a -> b -> c) -> Alt f a -> Alt f b -> Alt f c Source #

munzip :: Alt f (a, b) -> (Alt f a, Alt f b) Source #

MonadZip f => MonadZip (Rec1 f) Source #

Since: base-4.9.0.0

Instance details

Defined in Control.Monad.Zip

Methods

mzip :: Rec1 f a -> Rec1 f b -> Rec1 f (a, b) Source #

mzipWith :: (a -> b -> c) -> Rec1 f a -> Rec1 f b -> Rec1 f c Source #

munzip :: Rec1 f (a, b) -> (Rec1 f a, Rec1 f b) Source #

Bifoldable (K1 i :: Type -> Type -> Type) Source #

Since: base-4.10.0.0

Instance details

Defined in Data.Bifoldable

Methods

bifold :: Monoid m => K1 i m m -> m Source #

bifoldMap :: Monoid m => (a -> m) -> (b -> m) -> K1 i a b -> m Source #

bifoldr :: (a -> c -> c) -> (b -> c -> c) -> c -> K1 i a b -> c Source #

bifoldl :: (c -> a -> c) -> (c -> b -> c) -> c -> K1 i a b -> c Source #

Bifunctor (K1 i :: Type -> Type -> Type) Source #

Since: base-4.9.0.0

Instance details

Defined in Data.Bifunctor

Methods

bimap :: (a -> b) -> (c -> d) -> K1 i a c -> K1 i b d Source #

first :: (a -> b) -> K1 i a c -> K1 i b c Source #

second :: (b -> c) -> K1 i a b -> K1 i a c Source #

Bitraversable (K1 i :: Type -> Type -> Type) Source #

Since: base-4.10.0.0

Instance details

Defined in Data.Bitraversable

Methods

bitraverse :: Applicative f => (a -> f c) -> (b -> f d) -> K1 i a b -> f (K1 i c d) Source #

Data t => Data (Proxy t) Source #

Since: base-4.7.0.0

Instance details

Defined in Data.Data

Methods

gfoldl :: (forall d b. Data d => c (d -> b) -> d -> c b) -> (forall g. g -> c g) -> Proxy t -> c (Proxy t) Source #

gunfold :: (forall b r. Data b => c (b -> r) -> c r) -> (forall r. r -> c r) -> Constr -> c (Proxy t) Source #

toConstr :: Proxy t -> Constr Source #

dataTypeOf :: Proxy t -> DataType Source #

dataCast1 :: Typeable t0 => (forall d. Data d => c (t0 d)) -> Maybe (c (Proxy t)) Source #

dataCast2 :: Typeable t0 => (forall d e. (Data d, Data e) => c (t0 d e)) -> Maybe (c (Proxy t)) Source #

gmapT :: (forall b. Data b => b -> b) -> Proxy t -> Proxy t Source #

gmapQl :: (r -> r' -> r) -> r -> (forall d. Data d => d -> r') -> Proxy t -> r Source #

gmapQr :: forall r r'. (r' -> r -> r) -> r -> (forall d. Data d => d -> r') -> Proxy t -> r Source #

gmapQ :: (forall d. Data d => d -> u) -> Proxy t -> [u] Source #

gmapQi :: Int -> (forall d. Data d => d -> u) -> Proxy t -> u Source #

gmapM :: Monad m => (forall d. Data d => d -> m d) -> Proxy t -> m (Proxy t) Source #

gmapMp :: MonadPlus m => (forall d. Data d => d -> m d) -> Proxy t -> m (Proxy t) Source #

gmapMo :: MonadPlus m => (forall d. Data d => d -> m d) -> Proxy t -> m (Proxy t) Source #

Data p => Data (U1 p) Source #

Since: base-4.9.0.0

Instance details

Defined in Data.Data

Methods

gfoldl :: (forall d b. Data d => c (d -> b) -> d -> c b) -> (forall g. g -> c g) -> U1 p -> c (U1 p) Source #

gunfold :: (forall b r. Data b => c (b -> r) -> c r) -> (forall r. r -> c r) -> Constr -> c (U1 p) Source #

toConstr :: U1 p -> Constr Source #

dataTypeOf :: U1 p -> DataType Source #

dataCast1 :: Typeable t => (forall d. Data d => c (t d)) -> Maybe (c (U1 p)) Source #

dataCast2 :: Typeable t => (forall d e. (Data d, Data e) => c (t d e)) -> Maybe (c (U1 p)) Source #

gmapT :: (forall b. Data b => b -> b) -> U1 p -> U1 p Source #

gmapQl :: (r -> r' -> r) -> r -> (forall d. Data d => d -> r') -> U1 p -> r Source #

gmapQr :: forall r r'. (r' -> r -> r) -> r -> (forall d. Data d => d -> r') -> U1 p -> r Source #

gmapQ :: (forall d. Data d => d -> u) -> U1 p -> [u] Source #

gmapQi :: Int -> (forall d. Data d => d -> u) -> U1 p -> u Source #

gmapM :: Monad m => (forall d. Data d => d -> m d) -> U1 p -> m (U1 p) Source #

gmapMp :: MonadPlus m => (forall d. Data d => d -> m d) -> U1 p -> m (U1 p) Source #

gmapMo :: MonadPlus m => (forall d. Data d => d -> m d) -> U1 p -> m (U1 p) Source #

Data p => Data (V1 p) Source #

Since: base-4.9.0.0

Instance details

Defined in Data.Data

Methods

gfoldl :: (forall d b. Data d => c (d -> b) -> d -> c b) -> (forall g. g -> c g) -> V1 p -> c (V1 p) Source #

gunfold :: (forall b r. Data b => c (b -> r) -> c r) -> (forall r. r -> c r) -> Constr -> c (V1 p) Source #

toConstr :: V1 p -> Constr Source #

dataTypeOf :: V1 p -> DataType Source #

dataCast1 :: Typeable t => (forall d. Data d => c (t d)) -> Maybe (c (V1 p)) Source #

dataCast2 :: Typeable t => (forall d e. (Data d, Data e) => c (t d e)) -> Maybe (c (V1 p)) Source #

gmapT :: (forall b. Data b => b -> b) -> V1 p -> V1 p Source #

gmapQl :: (r -> r' -> r) -> r -> (forall d. Data d => d -> r') -> V1 p -> r Source #

gmapQr :: forall r r'. (r' -> r -> r) -> r -> (forall d. Data d => d -> r') -> V1 p -> r Source #

gmapQ :: (forall d. Data d => d -> u) -> V1 p -> [u] Source #

gmapQi :: Int -> (forall d. Data d => d -> u) -> V1 p -> u Source #

gmapM :: Monad m => (forall d. Data d => d -> m d) -> V1 p -> m (V1 p) Source #

gmapMp :: MonadPlus m => (forall d. Data d => d -> m d) -> V1 p -> m (V1 p) Source #

gmapMo :: MonadPlus m => (forall d. Data d => d -> m d) -> V1 p -> m (V1 p) Source #

Foldable (Const m :: Type -> Type) Source #

Since: base-4.7.0.0

Instance details

Defined in Data.Functor.Const

Methods

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

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

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

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

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

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

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

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

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

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

null :: Const m a -> Bool Source #

length :: Const m a -> Int Source #

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

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

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

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

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

Foldable f => Foldable (Ap f) Source #

Since: base-4.12.0.0

Instance details

Defined in Data.Foldable

Methods

fold :: Monoid m => Ap f m -> m Source #

foldMap :: Monoid m => (a -> m) -> Ap f a -> m Source #

foldMap' :: Monoid m => (a -> m) -> Ap f a -> m Source #

foldr :: (a -> b -> b) -> b -> Ap f a -> b Source #

foldr' :: (a -> b -> b) -> b -> Ap f a -> b Source #

foldl :: (b -> a -> b) -> b -> Ap f a -> b Source #

foldl' :: (b -> a -> b) -> b -> Ap f a -> b Source #

foldr1 :: (a -> a -> a) -> Ap f a -> a Source #

foldl1 :: (a -> a -> a) -> Ap f a -> a Source #

toList :: Ap f a -> [a] Source #

null :: Ap f a -> Bool Source #

length :: Ap f a -> Int Source #

elem :: Eq a => a -> Ap f a -> Bool Source #

maximum :: Ord a => Ap f a -> a Source #

minimum :: Ord a => Ap f a -> a Source #

sum :: Num a => Ap f a -> a Source #

product :: Num a => Ap f a -> a Source #

Foldable f => Foldable (Alt f) Source #

Since: base-4.12.0.0

Instance details

Defined in Data.Foldable

Methods

fold :: Monoid m => Alt f m -> m Source #

foldMap :: Monoid m => (a -> m) -> Alt f a -> m Source #

foldMap' :: Monoid m => (a -> m) -> Alt f a -> m Source #

foldr :: (a -> b -> b) -> b -> Alt f a -> b Source #

foldr' :: (a -> b -> b) -> b -> Alt f a -> b Source #

foldl :: (b -> a -> b) -> b -> Alt f a -> b Source #

foldl' :: (b -> a -> b) -> b -> Alt f a -> b Source #

foldr1 :: (a -> a -> a) -> Alt f a -> a Source #

foldl1 :: (a -> a -> a) -> Alt f a -> a Source #

toList :: Alt f a -> [a] Source #

null :: Alt f a -> Bool Source #

length :: Alt f a -> Int Source #

elem :: Eq a => a -> Alt f a -> Bool Source #

maximum :: Ord a => Alt f a -> a Source #

minimum :: Ord a => Alt f a -> a Source #

sum :: Num a => Alt f a -> a Source #

product :: Num a => Alt f a -> a Source #

Foldable f => Foldable (Rec1 f) Source #

Since: base-4.9.0.0

Instance details

Defined in Data.Foldable

Methods

fold :: Monoid m => Rec1 f m -> m Source #

foldMap :: Monoid m => (a -> m) -> Rec1 f a -> m Source #

foldMap' :: Monoid m => (a -> m) -> Rec1 f a -> m Source #

foldr :: (a -> b -> b) -> b -> Rec1 f a -> b Source #

foldr' :: (a -> b -> b) -> b -> Rec1 f a -> b Source #

foldl :: (b -> a -> b) -> b -> Rec1 f a -> b Source #

foldl' :: (b -> a -> b) -> b -> Rec1 f a -> b Source #

foldr1 :: (a -> a -> a) -> Rec1 f a -> a Source #

foldl1 :: (a -> a -> a) -> Rec1 f a -> a Source #

toList :: Rec1 f a -> [a] Source #

null :: Rec1 f a -> Bool Source #

length :: Rec1 f a -> Int Source #

elem :: Eq a => a -> Rec1 f a -> Bool Source #

maximum :: Ord a => Rec1 f a -> a Source #

minimum :: Ord a => Rec1 f a -> a Source #

sum :: Num a => Rec1 f a -> a Source #

product :: Num a => Rec1 f a -> a Source #

Foldable1 f => Foldable1 (Ap f) Source #

Since: base-4.18.0.0

Instance details

Defined in Data.Foldable1

Methods

fold1 :: Semigroup m => Ap f m -> m Source #

foldMap1 :: Semigroup m => (a -> m) -> Ap f a -> m Source #

foldMap1' :: Semigroup m => (a -> m) -> Ap f a -> m Source #

toNonEmpty :: Ap f a -> NonEmpty a Source #

maximum :: Ord a => Ap f a -> a Source #

minimum :: Ord a => Ap f a -> a Source #

head :: Ap f a -> a Source #

last :: Ap f a -> a Source #

foldrMap1 :: (a -> b) -> (a -> b -> b) -> Ap f a -> b Source #

foldlMap1' :: (a -> b) -> (b -> a -> b) -> Ap f a -> b Source #

foldlMap1 :: (a -> b) -> (b -> a -> b) -> Ap f a -> b Source #

foldrMap1' :: (a -> b) -> (a -> b -> b) -> Ap f a -> b Source #

Foldable1 f => Foldable1 (Alt f) Source #

Since: base-4.18.0.0

Instance details

Defined in Data.Foldable1

Methods

fold1 :: Semigroup m => Alt f m -> m Source #

foldMap1 :: Semigroup m => (a -> m) -> Alt f a -> m Source #

foldMap1' :: Semigroup m => (a -> m) -> Alt f a -> m Source #

toNonEmpty :: Alt f a -> NonEmpty a Source #

maximum :: Ord a => Alt f a -> a Source #

minimum :: Ord a => Alt f a -> a Source #

head :: Alt f a -> a Source #

last :: Alt f a -> a Source #

foldrMap1 :: (a -> b) -> (a -> b -> b) -> Alt f a -> b Source #

foldlMap1' :: (a -> b) -> (b -> a -> b) -> Alt f a -> b Source #

foldlMap1 :: (a -> b) -> (b -> a -> b) -> Alt f a -> b Source #

foldrMap1' :: (a -> b) -> (a -> b -> b) -> Alt f a -> b Source #

Foldable1 f => Foldable1 (Rec1 f) Source #

Since: base-4.18.0.0

Instance details

Defined in Data.Foldable1

Methods

fold1 :: Semigroup m => Rec1 f m -> m Source #

foldMap1 :: Semigroup m => (a -> m) -> Rec1 f a -> m Source #

foldMap1' :: Semigroup m => (a -> m) -> Rec1 f a -> m Source #

toNonEmpty :: Rec1 f a -> NonEmpty a Source #

maximum :: Ord a => Rec1 f a -> a Source #

minimum :: Ord a => Rec1 f a -> a Source #

head :: Rec1 f a -> a Source #

last :: Rec1 f a -> a Source #

foldrMap1 :: (a -> b) -> (a -> b -> b) -> Rec1 f a -> b Source #

foldlMap1' :: (a -> b) -> (b -> a -> b) -> Rec1 f a -> b Source #

foldlMap1 :: (a -> b) -> (b -> a -> b) -> Rec1 f a -> b Source #

foldrMap1' :: (a -> b) -> (a -> b -> b) -> Rec1 f a -> b Source #

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

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 Source #

(Generic1 f, Eq1 (Rep1 f)) => Eq1 (Generically1 f) Source #

Since: base-4.17.0.0

Instance details

Defined in Data.Functor.Classes

Methods

liftEq :: (a -> b -> Bool) -> Generically1 f a -> Generically1 f b -> Bool Source #

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

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 Source #

(Generic1 f, Ord1 (Rep1 f)) => Ord1 (Generically1 f) Source #

Since: base-4.17.0.0

Instance details

Defined in Data.Functor.Classes

Methods

liftCompare :: (a -> b -> Ordering) -> Generically1 f a -> Generically1 f b -> Ordering Source #

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

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) Source #

liftReadList :: (Int -> ReadS a0) -> ReadS [a0] -> ReadS [Const a a0] Source #

liftReadPrec :: ReadPrec a0 -> ReadPrec [a0] -> ReadPrec (Const a a0) Source #

liftReadListPrec :: ReadPrec a0 -> ReadPrec [a0] -> ReadPrec [Const a a0] Source #

Show a => Show1 (Const a :: Type -> Type) Source #

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 Source #

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

Contravariant (Const a :: Type -> Type) Source # 
Instance details

Defined in Data.Functor.Contravariant

Methods

contramap :: (a' -> a0) -> Const a a0 -> Const a a' Source #

(>$) :: b -> Const a b -> Const a a0 Source #

Contravariant f => Contravariant (Alt f) Source # 
Instance details

Defined in Data.Functor.Contravariant

Methods

contramap :: (a' -> a) -> Alt f a -> Alt f a' Source #

(>$) :: b -> Alt f b -> Alt f a Source #

Contravariant f => Contravariant (Rec1 f) Source # 
Instance details

Defined in Data.Functor.Contravariant

Methods

contramap :: (a' -> a) -> Rec1 f a -> Rec1 f a' Source #

(>$) :: b -> Rec1 f b -> Rec1 f a Source #

Traversable (Const m :: Type -> Type) Source #

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) Source #

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

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

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

Traversable f => Traversable (Ap f) Source #

Since: base-4.12.0.0

Instance details

Defined in Data.Traversable

Methods

traverse :: Applicative f0 => (a -> f0 b) -> Ap f a -> f0 (Ap f b) Source #

sequenceA :: Applicative f0 => Ap f (f0 a) -> f0 (Ap f a) Source #

mapM :: Monad m => (a -> m b) -> Ap f a -> m (Ap f b) Source #

sequence :: Monad m => Ap f (m a) -> m (Ap f a) Source #

Traversable f => Traversable (Alt f) Source #

Since: base-4.12.0.0

Instance details

Defined in Data.Traversable

Methods

traverse :: Applicative f0 => (a -> f0 b) -> Alt f a -> f0 (Alt f b) Source #

sequenceA :: Applicative f0 => Alt f (f0 a) -> f0 (Alt f a) Source #

mapM :: Monad m => (a -> m b) -> Alt f a -> m (Alt f b) Source #

sequence :: Monad m => Alt f (m a) -> m (Alt f a) Source #

Traversable f => Traversable (Rec1 f) Source #

Since: base-4.9.0.0

Instance details

Defined in Data.Traversable

Methods

traverse :: Applicative f0 => (a -> f0 b) -> Rec1 f a -> f0 (Rec1 f b) Source #

sequenceA :: Applicative f0 => Rec1 f (f0 a) -> f0 (Rec1 f a) Source #

mapM :: Monad m => (a -> m b) -> Rec1 f a -> m (Rec1 f b) Source #

sequence :: Monad m => Rec1 f (m a) -> m (Rec1 f a) Source #

Alternative f => Alternative (Ap f) Source #

Since: base-4.12.0.0

Instance details

Defined in Data.Monoid

Methods

empty :: Ap f a Source #

(<|>) :: Ap f a -> Ap f a -> Ap f a Source #

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

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

Alternative f => Alternative (Alt f) Source #

Since: base-4.8.0.0

Instance details

Defined in Data.Semigroup.Internal

Methods

empty :: Alt f a Source #

(<|>) :: Alt f a -> Alt f a -> Alt f a Source #

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

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

(Generic1 f, Alternative (Rep1 f)) => Alternative (Generically1 f) Source #

Since: base-4.17.0.0

Instance details

Defined in GHC.Generics

Alternative f => Alternative (Rec1 f) Source #

Since: base-4.9.0.0

Instance details

Defined in GHC.Generics

Methods

empty :: Rec1 f a Source #

(<|>) :: Rec1 f a -> Rec1 f a -> Rec1 f a Source #

some :: Rec1 f a -> Rec1 f [a] Source #

many :: Rec1 f a -> Rec1 f [a] Source #

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

Since: base-2.0.1

Instance details

Defined in Data.Functor.Const

Methods

pure :: a -> Const m a Source #

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

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

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

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

Applicative f => Applicative (Ap f) Source #

Since: base-4.12.0.0

Instance details

Defined in Data.Monoid

Methods

pure :: a -> Ap f a Source #

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

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

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

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

Applicative f => Applicative (Alt f) Source #

Since: base-4.8.0.0

Instance details

Defined in Data.Semigroup.Internal

Methods

pure :: a -> Alt f a Source #

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

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

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

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

(Generic1 f, Applicative (Rep1 f)) => Applicative (Generically1 f) Source #

Since: base-4.17.0.0

Instance details

Defined in GHC.Generics

Methods

pure :: a -> Generically1 f a Source #

(<*>) :: Generically1 f (a -> b) -> Generically1 f a -> Generically1 f b Source #

liftA2 :: (a -> b -> c) -> Generically1 f a -> Generically1 f b -> Generically1 f c Source #

(*>) :: Generically1 f a -> Generically1 f b -> Generically1 f b Source #

(<*) :: Generically1 f a -> Generically1 f b -> Generically1 f a Source #

Applicative f => Applicative (Rec1 f) Source #

Since: base-4.9.0.0

Instance details

Defined in GHC.Generics

Methods

pure :: a -> Rec1 f a Source #

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

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

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

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

Functor (Const m :: Type -> Type) Source #

Since: base-2.1

Instance details

Defined in Data.Functor.Const

Methods

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

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

Functor f => Functor (Ap f) Source #

Since: base-4.12.0.0

Instance details

Defined in Data.Monoid

Methods

fmap :: (a -> b) -> Ap f a -> Ap f b Source #

(<$) :: a -> Ap f b -> Ap f a Source #

Functor f => Functor (Alt f) Source #

Since: base-4.8.0.0

Instance details

Defined in Data.Semigroup.Internal

Methods

fmap :: (a -> b) -> Alt f a -> Alt f b Source #

(<$) :: a -> Alt f b -> Alt f a Source #

(Generic1 f, Functor (Rep1 f)) => Functor (Generically1 f) Source #

Since: base-4.17.0.0

Instance details

Defined in GHC.Generics

Methods

fmap :: (a -> b) -> Generically1 f a -> Generically1 f b Source #

(<$) :: a -> Generically1 f b -> Generically1 f a Source #

Functor f => Functor (Rec1 f) Source #

Since: base-4.9.0.0

Instance details

Defined in GHC.Generics

Methods

fmap :: (a -> b) -> Rec1 f a -> Rec1 f b Source #

(<$) :: a -> Rec1 f b -> Rec1 f a Source #

Functor (URec (Ptr ()) :: Type -> Type) Source #

Since: base-4.9.0.0

Instance details

Defined in GHC.Generics

Methods

fmap :: (a -> b) -> URec (Ptr ()) a -> URec (Ptr ()) b Source #

(<$) :: a -> URec (Ptr ()) b -> URec (Ptr ()) a Source #

Functor (URec Char :: Type -> Type) Source #

Since: base-4.9.0.0

Instance details

Defined in GHC.Generics

Methods

fmap :: (a -> b) -> URec Char a -> URec Char b Source #

(<$) :: a -> URec Char b -> URec Char a Source #

Functor (URec Double :: Type -> Type) Source #

Since: base-4.9.0.0

Instance details

Defined in GHC.Generics

Methods

fmap :: (a -> b) -> URec Double a -> URec Double b Source #

(<$) :: a -> URec Double b -> URec Double a Source #

Functor (URec Float :: Type -> Type) Source #

Since: base-4.9.0.0

Instance details

Defined in GHC.Generics

Methods

fmap :: (a -> b) -> URec Float a -> URec Float b Source #

(<$) :: a -> URec Float b -> URec Float a Source #

Functor (URec Int :: Type -> Type) Source #

Since: base-4.9.0.0

Instance details

Defined in GHC.Generics

Methods

fmap :: (a -> b) -> URec Int a -> URec Int b Source #

(<$) :: a -> URec Int b -> URec Int a Source #

Functor (URec Word :: Type -> Type) Source #

Since: base-4.9.0.0

Instance details

Defined in GHC.Generics

Methods

fmap :: (a -> b) -> URec Word a -> URec Word b Source #

(<$) :: a -> URec Word b -> URec Word a Source #

Monad f => Monad (Ap f) Source #

Since: base-4.12.0.0

Instance details

Defined in Data.Monoid

Methods

(>>=) :: Ap f a -> (a -> Ap f b) -> Ap f b Source #

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

return :: a -> Ap f a Source #

Monad f => Monad (Alt f) Source #

Since: base-4.8.0.0

Instance details

Defined in Data.Semigroup.Internal

Methods

(>>=) :: Alt f a -> (a -> Alt f b) -> Alt f b Source #

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

return :: a -> Alt f a Source #

Monad f => Monad (Rec1 f) Source #

Since: base-4.9.0.0

Instance details

Defined in GHC.Generics

Methods

(>>=) :: Rec1 f a -> (a -> Rec1 f b) -> Rec1 f b Source #

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

return :: a -> Rec1 f a Source #

MonadPlus f => MonadPlus (Ap f) Source #

Since: base-4.12.0.0

Instance details

Defined in Data.Monoid

Methods

mzero :: Ap f a Source #

mplus :: Ap f a -> Ap f a -> Ap f a Source #

MonadPlus f => MonadPlus (Alt f) Source #

Since: base-4.8.0.0

Instance details

Defined in Data.Semigroup.Internal

Methods

mzero :: Alt f a Source #

mplus :: Alt f a -> Alt f a -> Alt f a Source #

MonadPlus f => MonadPlus (Rec1 f) Source #

Since: base-4.9.0.0

Instance details

Defined in GHC.Generics

Methods

mzero :: Rec1 f a Source #

mplus :: Rec1 f a -> Rec1 f a -> Rec1 f a Source #

(MonadFix f, MonadFix g) => MonadFix (Product f g) Source #

Since: base-4.9.0.0

Instance details

Defined in Data.Functor.Product

Methods

mfix :: (a -> Product f g a) -> Product f g a Source #

(MonadFix f, MonadFix g) => MonadFix (f :*: g) Source #

Since: base-4.9.0.0

Instance details

Defined in Control.Monad.Fix

Methods

mfix :: (a -> (f :*: g) a) -> (f :*: g) a Source #

(MonadZip f, MonadZip g) => MonadZip (Product f g) Source #

Since: base-4.9.0.0

Instance details

Defined in Data.Functor.Product

Methods

mzip :: Product f g a -> Product f g b -> Product f g (a, b) Source #

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

munzip :: Product f g (a, b) -> (Product f g a, Product f g b) Source #

(MonadZip f, MonadZip g) => MonadZip (f :*: g) Source #

Since: base-4.9.0.0

Instance details

Defined in Control.Monad.Zip

Methods

mzip :: (f :*: g) a -> (f :*: g) b -> (f :*: g) (a, b) Source #

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

munzip :: (f :*: g) (a, b) -> ((f :*: g) a, (f :*: g) b) Source #

(Data (f a), Data a, Typeable f) => Data (Ap f a) Source #

Since: base-4.12.0.0

Instance details

Defined in Data.Data

Methods

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

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

toConstr :: Ap f a -> Constr Source #

dataTypeOf :: Ap f a -> DataType Source #

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

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

gmapT :: (forall b. Data b => b -> b) -> Ap f a -> Ap f a Source #

gmapQl :: (r -> r' -> r) -> r -> (forall d. Data d => d -> r') -> Ap f a -> r Source #

gmapQr :: forall r r'. (r' -> r -> r) -> r -> (forall d. Data d => d -> r') -> Ap f a -> r Source #

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

gmapQi :: Int -> (forall d. Data d => d -> u) -> Ap f a -> u Source #

gmapM :: Monad m => (forall d. Data d => d -> m d) -> Ap f a -> m (Ap f a) Source #

gmapMp :: MonadPlus m => (forall d. Data d => d -> m d) -> Ap f a -> m (Ap f a) Source #

gmapMo :: MonadPlus m => (forall d. Data d => d -> m d) -> Ap f a -> m (Ap f a) Source #

(Data (f a), Data a, Typeable f) => Data (Alt f a) Source #

Since: base-4.8.0.0

Instance details

Defined in Data.Data

Methods

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

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

toConstr :: Alt f a -> Constr Source #

dataTypeOf :: Alt f a -> DataType Source #

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

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

gmapT :: (forall b. Data b => b -> b) -> Alt f a -> Alt f a Source #

gmapQl :: (r -> r' -> r) -> r -> (forall d. Data d => d -> r') -> Alt f a -> r Source #

gmapQr :: forall r r'. (r' -> r -> r) -> r -> (forall d. Data d => d -> r') -> Alt f a -> r Source #

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

gmapQi :: Int -> (forall d. Data d => d -> u) -> Alt f a -> u Source #

gmapM :: Monad m => (forall d. Data d => d -> m d) -> Alt f a -> m (Alt f a) Source #

gmapMp :: MonadPlus m => (forall d. Data d => d -> m d) -> Alt f a -> m (Alt f a) Source #

gmapMo :: MonadPlus m => (forall d. Data d => d -> m d) -> Alt f a -> m (Alt f a) Source #

(Coercible a b, Data a, Data b) => Data (Coercion a b) Source #

Since: base-4.7.0.0

Instance details

Defined in Data.Data

Methods

gfoldl :: (forall d b0. Data d => c (d -> b0) -> d -> c b0) -> (forall g. g -> c g) -> Coercion a b -> c (Coercion a b) Source #

gunfold :: (forall b0 r. Data b0 => c (b0 -> r) -> c r) -> (forall r. r -> c r) -> Constr -> c (Coercion a b) Source #

toConstr :: Coercion a b -> Constr Source #

dataTypeOf :: Coercion a b -> DataType Source #

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

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

gmapT :: (forall b0. Data b0 => b0 -> b0) -> Coercion a b -> Coercion a b Source #

gmapQl :: (r -> r' -> r) -> r -> (forall d. Data d => d -> r') -> Coercion a b -> r Source #

gmapQr :: forall r r'. (r' -> r -> r) -> r -> (forall d. Data d => d -> r') -> Coercion a b -> r Source #

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

gmapQi :: Int -> (forall d. Data d => d -> u) -> Coercion a b -> u Source #

gmapM :: Monad m => (forall d. Data d => d -> m d) -> Coercion a b -> m (Coercion a b) Source #

gmapMp :: MonadPlus m => (forall d. Data d => d -> m d) -> Coercion a b -> m (Coercion a b) Source #

gmapMo :: MonadPlus m => (forall d. Data d => d -> m d) -> Coercion a b -> m (Coercion a b) Source #

(a ~ b, Data a) => Data (a :~: b) Source #

Since: base-4.7.0.0

Instance details

Defined in Data.Data

Methods

gfoldl :: (forall d b0. Data d => c (d -> b0) -> d -> c b0) -> (forall g. g -> c g) -> (a :~: b) -> c (a :~: b) Source #

gunfold :: (forall b0 r. Data b0 => c (b0 -> r) -> c r) -> (forall r. r -> c r) -> Constr -> c (a :~: b) Source #

toConstr :: (a :~: b) -> Constr Source #

dataTypeOf :: (a :~: b) -> DataType Source #

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

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

gmapT :: (forall b0. Data b0 => b0 -> b0) -> (a :~: b) -> a :~: b Source #

gmapQl :: (r -> r' -> r) -> r -> (forall d. Data d => d -> r') -> (a :~: b) -> r Source #

gmapQr :: forall r r'. (r' -> r -> r) -> r -> (forall d. Data d => d -> r') -> (a :~: b) -> r Source #

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

gmapQi :: Int -> (forall d. Data d => d -> u) -> (a :~: b) -> u Source #

gmapM :: Monad m => (forall d. Data d => d -> m d) -> (a :~: b) -> m (a :~: b) Source #

gmapMp :: MonadPlus m => (forall d. Data d => d -> m d) -> (a :~: b) -> m (a :~: b) Source #

gmapMo :: MonadPlus m => (forall d. Data d => d -> m d) -> (a :~: b) -> m (a :~: b) Source #

(Data (f p), Typeable f, Data p) => Data (Rec1 f p) Source #

Since: base-4.9.0.0

Instance details

Defined in Data.Data

Methods

gfoldl :: (forall d b. Data d => c (d -> b) -> d -> c b) -> (forall g. g -> c g) -> Rec1 f p -> c (Rec1 f p) Source #

gunfold :: (forall b r. Data b => c (b -> r) -> c r) -> (forall r. r -> c r) -> Constr -> c (Rec1 f p) Source #

toConstr :: Rec1 f p -> Constr Source #

dataTypeOf :: Rec1 f p -> DataType Source #

dataCast1 :: Typeable t => (forall d. Data d => c (t d)) -> Maybe (c (Rec1 f p)) Source #

dataCast2 :: Typeable t => (forall d e. (Data d, Data e) => c (t d e)) -> Maybe (c (Rec1 f p)) Source #

gmapT :: (forall b. Data b => b -> b) -> Rec1 f p -> Rec1 f p Source #

gmapQl :: (r -> r' -> r) -> r -> (forall d. Data d => d -> r') -> Rec1 f p -> r Source #

gmapQr :: forall r r'. (r' -> r -> r) -> r -> (forall d. Data d => d -> r') -> Rec1 f p -> r Source #

gmapQ :: (forall d. Data d => d -> u) -> Rec1 f p -> [u] Source #

gmapQi :: Int -> (forall d. Data d => d -> u) -> Rec1 f p -> u Source #

gmapM :: Monad m => (forall d. Data d => d -> m d) -> Rec1 f p -> m (Rec1 f p) Source #

gmapMp :: MonadPlus m => (forall d. Data d => d -> m d) -> Rec1 f p -> m (Rec1 f p) Source #

gmapMo :: MonadPlus m => (forall d. Data d => d -> m d) -> Rec1 f p -> m (Rec1 f p) Source #

(Foldable f, Foldable g) => Foldable (Product f g) Source #

Since: base-4.9.0.0

Instance details

Defined in Data.Functor.Product

Methods

fold :: Monoid m => Product f g m -> m Source #

foldMap :: Monoid m => (a -> m) -> Product f g a -> m Source #

foldMap' :: Monoid m => (a -> m) -> Product f g a -> m Source #

foldr :: (a -> b -> b) -> b -> Product f g a -> b Source #

foldr' :: (a -> b -> b) -> b -> Product f g a -> b Source #

foldl :: (b -> a -> b) -> b -> Product f g a -> b Source #

foldl' :: (b -> a -> b) -> b -> Product f g a -> b Source #

foldr1 :: (a -> a -> a) -> Product f g a -> a Source #

foldl1 :: (a -> a -> a) -> Product f g a -> a Source #

toList :: Product f g a -> [a] Source #

null :: Product f g a -> Bool Source #

length :: Product f g a -> Int Source #

elem :: Eq a => a -> Product f g a -> Bool Source #

maximum :: Ord a => Product f g a -> a Source #

minimum :: Ord a => Product f g a -> a Source #

sum :: Num a => Product f g a -> a Source #

product :: Num a => Product f g a -> a Source #

(Foldable f, Foldable g) => Foldable (Sum f g) Source #

Since: base-4.9.0.0

Instance details

Defined in Data.Functor.Sum

Methods

fold :: Monoid m => Sum f g m -> m Source #

foldMap :: Monoid m => (a -> m) -> Sum f g a -> m Source #

foldMap' :: Monoid m => (a -> m) -> Sum f g a -> m Source #

foldr :: (a -> b -> b) -> b -> Sum f g a -> b Source #

foldr' :: (a -> b -> b) -> b -> Sum f g a -> b Source #

foldl :: (b -> a -> b) -> b -> Sum f g a -> b Source #

foldl' :: (b -> a -> b) -> b -> Sum f g a -> b Source #

foldr1 :: (a -> a -> a) -> Sum f g a -> a Source #

foldl1 :: (a -> a -> a) -> Sum f g a -> a Source #

toList :: Sum f g a -> [a] Source #

null :: Sum f g a -> Bool Source #

length :: Sum f g a -> Int Source #

elem :: Eq a => a -> Sum f g a -> Bool Source #

maximum :: Ord a => Sum f g a -> a Source #

minimum :: Ord a => Sum f g a -> a Source #

sum :: Num a => Sum f g a -> a Source #

product :: Num a => Sum f g a -> a Source #

(Foldable f, Foldable g) => Foldable (f :*: g) Source #

Since: base-4.9.0.0

Instance details

Defined in Data.Foldable

Methods

fold :: Monoid m => (f :*: g) m -> m Source #

foldMap :: Monoid m => (a -> m) -> (f :*: g) a -> m Source #

foldMap' :: Monoid m => (a -> m) -> (f :*: g) a -> m Source #

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

foldr' :: (a -> b -> b) -> b -> (f :*: g) a -> b Source #

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

foldl' :: (b -> a -> b) -> b -> (f :*: g) a -> b Source #

foldr1 :: (a -> a -> a) -> (f :*: g) a -> a Source #

foldl1 :: (a -> a -> a) -> (f :*: g) a -> a Source #

toList :: (f :*: g) a -> [a] Source #

null :: (f :*: g) a -> Bool Source #

length :: (f :*: g) a -> Int Source #

elem :: Eq a => a -> (f :*: g) a -> Bool Source #

maximum :: Ord a => (f :*: g) a -> a Source #

minimum :: Ord a => (f :*: g) a -> a Source #

sum :: Num a => (f :*: g) a -> a Source #

product :: Num a => (f :*: g) a -> a Source #

(Foldable f, Foldable g) => Foldable (f :+: g) Source #

Since: base-4.9.0.0

Instance details

Defined in Data.Foldable

Methods

fold :: Monoid m => (f :+: g) m -> m Source #

foldMap :: Monoid m => (a -> m) -> (f :+: g) a -> m Source #

foldMap' :: Monoid m => (a -> m) -> (f :+: g) a -> m Source #

foldr :: (a -> b -> b) -> b -> (f :+: g) a -> b Source #

foldr' :: (a -> b -> b) -> b -> (f :+: g) a -> b Source #

foldl :: (b -> a -> b) -> b -> (f :+: g) a -> b Source #

foldl' :: (b -> a -> b) -> b -> (f :+: g) a -> b Source #

foldr1 :: (a -> a -> a) -> (f :+: g) a -> a Source #

foldl1 :: (a -> a -> a) -> (f :+: g) a -> a Source #

toList :: (f :+: g) a -> [a] Source #

null :: (f :+: g) a -> Bool Source #

length :: (f :+: g) a -> Int Source #

elem :: Eq a => a -> (f :+: g) a -> Bool Source #

maximum :: Ord a => (f :+: g) a -> a Source #

minimum :: Ord a => (f :+: g) a -> a Source #

sum :: Num a => (f :+: g) a -> a Source #

product :: Num a => (f :+: g) a -> a Source #

Foldable (K1 i c :: Type -> Type) Source #

Since: base-4.9.0.0

Instance details

Defined in Data.Foldable

Methods

fold :: Monoid m => K1 i c m -> m Source #

foldMap :: Monoid m => (a -> m) -> K1 i c a -> m Source #

foldMap' :: Monoid m => (a -> m) -> K1 i c a -> m Source #

foldr :: (a -> b -> b) -> b -> K1 i c a -> b Source #

foldr' :: (a -> b -> b) -> b -> K1 i c a -> b Source #

foldl :: (b -> a -> b) -> b -> K1 i c a -> b Source #

foldl' :: (b -> a -> b) -> b -> K1 i c a -> b Source #

foldr1 :: (a -> a -> a) -> K1 i c a -> a Source #

foldl1 :: (a -> a -> a) -> K1 i c a -> a Source #

toList :: K1 i c a -> [a] Source #

null :: K1 i c a -> Bool Source #

length :: K1 i c a -> Int Source #

elem :: Eq a => a -> K1 i c a -> Bool Source #

maximum :: Ord a => K1 i c a -> a Source #

minimum :: Ord a => K1 i c a -> a Source #

sum :: Num a => K1 i c a -> a Source #

product :: Num a => K1 i c a -> a Source #

(Foldable1 f, Foldable1 g) => Foldable1 (Product f g) Source #

It would be enough for either half of a product to be Foldable1. Other could be Foldable.

Instance details

Defined in Data.Foldable1

Methods

fold1 :: Semigroup m => Product f g m -> m Source #

foldMap1 :: Semigroup m => (a -> m) -> Product f g a -> m Source #

foldMap1' :: Semigroup m => (a -> m) -> Product f g a -> m Source #

toNonEmpty :: Product f g a -> NonEmpty a Source #

maximum :: Ord a => Product f g a -> a Source #

minimum :: Ord a => Product f g a -> a Source #

head :: Product f g a -> a Source #

last :: Product f g a -> a Source #

foldrMap1 :: (a -> b) -> (a -> b -> b) -> Product f g a -> b Source #

foldlMap1' :: (a -> b) -> (b -> a -> b) -> Product f g a -> b Source #

foldlMap1 :: (a -> b) -> (b -> a -> b) -> Product f g a -> b Source #

foldrMap1' :: (a -> b) -> (a -> b -> b) -> Product f g a -> b Source #

(Foldable1 f, Foldable1 g) => Foldable1 (Sum f g) Source #

Since: base-4.18.0.0

Instance details

Defined in Data.Foldable1

Methods

fold1 :: Semigroup m => Sum f g m -> m Source #

foldMap1 :: Semigroup m => (a -> m) -> Sum f g a -> m Source #

foldMap1' :: Semigroup m => (a -> m) -> Sum f g a -> m Source #

toNonEmpty :: Sum f g a -> NonEmpty a Source #

maximum :: Ord a => Sum f g a -> a Source #

minimum :: Ord a => Sum f g a -> a Source #

head :: Sum f g a -> a Source #

last :: Sum f g a -> a Source #

foldrMap1 :: (a -> b) -> (a -> b -> b) -> Sum f g a -> b Source #

foldlMap1' :: (a -> b) -> (b -> a -> b) -> Sum f g a -> b Source #

foldlMap1 :: (a -> b) -> (b -> a -> b) -> Sum f g a -> b Source #

foldrMap1' :: (a -> b) -> (a -> b -> b) -> Sum f g a -> b Source #

(Foldable1 f, Foldable1 g) => Foldable1 (f :*: g) Source #

Since: base-4.18.0.0

Instance details

Defined in Data.Foldable1

Methods

fold1 :: Semigroup m => (f :*: g) m -> m Source #

foldMap1 :: Semigroup m => (a -> m) -> (f :*: g) a -> m Source #

foldMap1' :: Semigroup m => (a -> m) -> (f :*: g) a -> m Source #

toNonEmpty :: (f :*: g) a -> NonEmpty a Source #

maximum :: Ord a => (f :*: g) a -> a Source #

minimum :: Ord a => (f :*: g) a -> a Source #

head :: (f :*: g) a -> a Source #

last :: (f :*: g) a -> a Source #

foldrMap1 :: (a -> b) -> (a -> b -> b) -> (f :*: g) a -> b Source #

foldlMap1' :: (a -> b) -> (b -> a -> b) -> (f :*: g) a -> b Source #

foldlMap1 :: (a -> b) -> (b -> a -> b) -> (f :*: g) a -> b Source #

foldrMap1' :: (a -> b) -> (a -> b -> b) -> (f :*: g) a -> b Source #

(Foldable1 f, Foldable1 g) => Foldable1 (f :+: g) Source #

Since: base-4.18.0.0

Instance details

Defined in Data.Foldable1

Methods

fold1 :: Semigroup m => (f :+: g) m -> m Source #

foldMap1 :: Semigroup m => (a -> m) -> (f :+: g) a -> m Source #

foldMap1' :: Semigroup m => (a -> m) -> (f :+: g) a -> m Source #

toNonEmpty :: (f :+: g) a -> NonEmpty a Source #

maximum :: Ord a => (f :+: g) a -> a Source #

minimum :: Ord a => (f :+: g) a -> a Source #

head :: (f :+: g) a -> a Source #

last :: (f :+: g) a -> a Source #

foldrMap1 :: (a -> b) -> (a -> b -> b) -> (f :+: g) a -> b Source #

foldlMap1' :: (a -> b) -> (b -> a -> b) -> (f :+: g) a -> b Source #

foldlMap1 :: (a -> b) -> (b -> a -> b) -> (f :+: g) a -> b Source #

foldrMap1' :: (a -> b) -> (a -> b -> b) -> (f :+: g) a -> b Source #

(Eq1 f, Eq1 g) => Eq1 (Product f g) Source #

Since: base-4.9.0.0

Instance details

Defined in Data.Functor.Product

Methods

liftEq :: (a -> b -> Bool) -> Product f g a -> Product f g b -> Bool Source #

(Eq1 f, Eq1 g) => Eq1 (Sum f g) Source #

Since: base-4.9.0.0

Instance details

Defined in Data.Functor.Sum

Methods

liftEq :: (a -> b -> Bool) -> Sum f g a -> Sum f g b -> Bool Source #

(Ord1 f, Ord1 g) => Ord1 (Product f g) Source #

Since: base-4.9.0.0

Instance details

Defined in Data.Functor.Product

Methods

liftCompare :: (a -> b -> Ordering) -> Product f g a -> Product f g b -> Ordering Source #

(Ord1 f, Ord1 g) => Ord1 (Sum f g) Source #

Since: base-4.9.0.0

Instance details

Defined in Data.Functor.Sum

Methods

liftCompare :: (a -> b -> Ordering) -> Sum f g a -> Sum f g b -> Ordering Source #

(Read1 f, Read1 g) => Read1 (Product f g) Source #

Since: base-4.9.0.0

Instance details

Defined in Data.Functor.Product

Methods

liftReadsPrec :: (Int -> ReadS a) -> ReadS [a] -> Int -> ReadS (Product f g a) Source #

liftReadList :: (Int -> ReadS a) -> ReadS [a] -> ReadS [Product f g a] Source #

liftReadPrec :: ReadPrec a -> ReadPrec [a] -> ReadPrec (Product f g a) Source #

liftReadListPrec :: ReadPrec a -> ReadPrec [a] -> ReadPrec [Product f g a] Source #

(Read1 f, Read1 g) => Read1 (Sum f g) Source #

Since: base-4.9.0.0

Instance details

Defined in Data.Functor.Sum

Methods

liftReadsPrec :: (Int -> ReadS a) -> ReadS [a] -> Int -> ReadS (Sum f g a) Source #

liftReadList :: (Int -> ReadS a) -> ReadS [a] -> ReadS [Sum f g a] Source #

liftReadPrec :: ReadPrec a -> ReadPrec [a] -> ReadPrec (Sum f g a) Source #

liftReadListPrec :: ReadPrec a -> ReadPrec [a] -> ReadPrec [Sum f g a] Source #

(Show1 f, Show1 g) => Show1 (Product f g) Source #

Since: base-4.9.0.0

Instance details

Defined in Data.Functor.Product

Methods

liftShowsPrec :: (Int -> a -> ShowS) -> ([a] -> ShowS) -> Int -> Product f g a -> ShowS Source #

liftShowList :: (Int -> a -> ShowS) -> ([a] -> ShowS) -> [Product f g a] -> ShowS Source #

(Show1 f, Show1 g) => Show1 (Sum f g) Source #

Since: base-4.9.0.0

Instance details

Defined in Data.Functor.Sum

Methods

liftShowsPrec :: (Int -> a -> ShowS) -> ([a] -> ShowS) -> Int -> Sum f g a -> ShowS Source #

liftShowList :: (Int -> a -> ShowS) -> ([a] -> ShowS) -> [Sum f g a] -> ShowS Source #

(Contravariant f, Contravariant g) => Contravariant (Product f g) Source # 
Instance details

Defined in Data.Functor.Contravariant

Methods

contramap :: (a' -> a) -> Product f g a -> Product f g a' Source #

(>$) :: b -> Product f g b -> Product f g a Source #

(Contravariant f, Contravariant g) => Contravariant (Sum f g) Source # 
Instance details

Defined in Data.Functor.Contravariant

Methods

contramap :: (a' -> a) -> Sum f g a -> Sum f g a' Source #

(>$) :: b -> Sum f g b -> Sum f g a Source #

(Contravariant f, Contravariant g) => Contravariant (f :*: g) Source # 
Instance details

Defined in Data.Functor.Contravariant

Methods

contramap :: (a' -> a) -> (f :*: g) a -> (f :*: g) a' Source #

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

(Contravariant f, Contravariant g) => Contravariant (f :+: g) Source # 
Instance details

Defined in Data.Functor.Contravariant

Methods

contramap :: (a' -> a) -> (f :+: g) a -> (f :+: g) a' Source #

(>$) :: b -> (f :+: g) b -> (f :+: g) a Source #

Contravariant (K1 i c :: Type -> Type) Source # 
Instance details

Defined in Data.Functor.Contravariant

Methods

contramap :: (a' -> a) -> K1 i c a -> K1 i c a' Source #

(>$) :: b -> K1 i c b -> K1 i c a Source #

(Traversable f, Traversable g) => Traversable (Product f g) Source #

Since: base-4.9.0.0

Instance details

Defined in Data.Functor.Product

Methods

traverse :: Applicative f0 => (a -> f0 b) -> Product f g a -> f0 (Product f g b) Source #

sequenceA :: Applicative f0 => Product f g (f0 a) -> f0 (Product f g a) Source #

mapM :: Monad m => (a -> m b) -> Product f g a -> m (Product f g b) Source #

sequence :: Monad m => Product f g (m a) -> m (Product f g a) Source #

(Traversable f, Traversable g) => Traversable (Sum f g) Source #

Since: base-4.9.0.0

Instance details

Defined in Data.Functor.Sum

Methods

traverse :: Applicative f0 => (a -> f0 b) -> Sum f g a -> f0 (Sum f g b) Source #

sequenceA :: Applicative f0 => Sum f g (f0 a) -> f0 (Sum f g a) Source #

mapM :: Monad m => (a -> m b) -> Sum f g a -> m (Sum f g b) Source #

sequence :: Monad m => Sum f g (m a) -> m (Sum f g a) Source #

(Traversable f, Traversable g) => Traversable (f :*: g) Source #

Since: base-4.9.0.0

Instance details

Defined in Data.Traversable

Methods

traverse :: Applicative f0 => (a -> f0 b) -> (f :*: g) a -> f0 ((f :*: g) b) Source #

sequenceA :: Applicative f0 => (f :*: g) (f0 a) -> f0 ((f :*: g) a) Source #

mapM :: Monad m => (a -> m b) -> (f :*: g) a -> m ((f :*: g) b) Source #

sequence :: Monad m => (f :*: g) (m a) -> m ((f :*: g) a) Source #

(Traversable f, Traversable g) => Traversable (f :+: g) Source #

Since: base-4.9.0.0

Instance details

Defined in Data.Traversable

Methods

traverse :: Applicative f0 => (a -> f0 b) -> (f :+: g) a -> f0 ((f :+: g) b) Source #

sequenceA :: Applicative f0 => (f :+: g) (f0 a) -> f0 ((f :+: g) a) Source #

mapM :: Monad m => (a -> m b) -> (f :+: g) a -> m ((f :+: g) b) Source #

sequence :: Monad m => (f :+: g) (m a) -> m ((f :+: g) a) Source #

Traversable (K1 i c :: Type -> Type) Source #

Since: base-4.9.0.0

Instance details

Defined in Data.Traversable

Methods

traverse :: Applicative f => (a -> f b) -> K1 i c a -> f (K1 i c b) Source #

sequenceA :: Applicative f => K1 i c (f a) -> f (K1 i c a) Source #

mapM :: Monad m => (a -> m b) -> K1 i c a -> m (K1 i c b) Source #

sequence :: Monad m => K1 i c (m a) -> m (K1 i c a) Source #

(Alternative f, Alternative g) => Alternative (Product f g) Source #

Since: base-4.9.0.0

Instance details

Defined in Data.Functor.Product

Methods

empty :: Product f g a Source #

(<|>) :: Product f g a -> Product f g a -> Product f g a Source #

some :: Product f g a -> Product f g [a] Source #

many :: Product f g a -> Product f g [a] Source #

(Alternative f, Alternative g) => Alternative (f :*: g) Source #

Since: base-4.9.0.0

Instance details

Defined in GHC.Generics

Methods

empty :: (f :*: g) a Source #

(<|>) :: (f :*: g) a -> (f :*: g) a -> (f :*: g) a Source #

some :: (f :*: g) a -> (f :*: g) [a] Source #

many :: (f :*: g) a -> (f :*: g) [a] Source #

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

Since: base-4.9.0.0

Instance details

Defined in Data.Functor.Product

Methods

pure :: a -> Product f g a Source #

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

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

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

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

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

Since: base-4.9.0.0

Instance details

Defined in GHC.Generics

Methods

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

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

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

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

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

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

Since: base-4.12.0.0

Instance details

Defined in GHC.Generics

Methods

pure :: a -> K1 i c a Source #

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

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

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

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

(Functor f, Functor g) => Functor (Product f g) Source #

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 Source #

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

(Functor f, Functor g) => Functor (Sum f g) Source #

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 Source #

(<$) :: a -> Sum f g b -> Sum f g a Source #

(Functor f, Functor g) => Functor (f :*: g) Source #

Since: base-4.9.0.0

Instance details

Defined in GHC.Generics

Methods

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

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

(Functor f, Functor g) => Functor (f :+: g) Source #

Since: base-4.9.0.0

Instance details

Defined in GHC.Generics

Methods

fmap :: (a -> b) -> (f :+: g) a -> (f :+: g) b Source #

(<$) :: a -> (f :+: g) b -> (f :+: g) a Source #

Functor (K1 i c :: Type -> Type) Source #

Since: base-4.9.0.0

Instance details

Defined in GHC.Generics

Methods

fmap :: (a -> b) -> K1 i c a -> K1 i c b Source #

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

(Monad f, Monad g) => Monad (Product f g) Source #

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 Source #

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

return :: a -> Product f g a Source #

(Monad f, Monad g) => Monad (f :*: g) Source #

Since: base-4.9.0.0

Instance details

Defined in GHC.Generics

Methods

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

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

return :: a -> (f :*: g) a Source #

(MonadPlus f, MonadPlus g) => MonadPlus (Product f g) Source #

Since: base-4.9.0.0

Instance details

Defined in Data.Functor.Product

Methods

mzero :: Product f g a Source #

mplus :: Product f g a -> Product f g a -> Product f g a Source #

(MonadPlus f, MonadPlus g) => MonadPlus (f :*: g) Source #

Since: base-4.9.0.0

Instance details

Defined in GHC.Generics

Methods

mzero :: (f :*: g) a Source #

mplus :: (f :*: g) a -> (f :*: g) a -> (f :*: g) a Source #

(Applicative f, Monoid a) => Monoid (Ap f a) Source #

Since: base-4.12.0.0

Instance details

Defined in Data.Monoid

Methods

mempty :: Ap f a Source #

mappend :: Ap f a -> Ap f a -> Ap f a Source #

mconcat :: [Ap f a] -> Ap f a Source #

Alternative f => Monoid (Alt f a) Source #

Since: base-4.8.0.0

Instance details

Defined in Data.Semigroup.Internal

Methods

mempty :: Alt f a Source #

mappend :: Alt f a -> Alt f a -> Alt f a Source #

mconcat :: [Alt f a] -> Alt f a Source #

(Applicative f, Semigroup a) => Semigroup (Ap f a) Source #

Since: base-4.12.0.0

Instance details

Defined in Data.Monoid

Methods

(<>) :: Ap f a -> Ap f a -> Ap f a Source #

sconcat :: NonEmpty (Ap f a) -> Ap f a Source #

stimes :: Integral b => b -> Ap f a -> Ap f a Source #

Alternative f => Semigroup (Alt f a) Source #

Since: base-4.9.0.0

Instance details

Defined in Data.Semigroup.Internal

Methods

(<>) :: Alt f a -> Alt f a -> Alt f a Source #

sconcat :: NonEmpty (Alt f a) -> Alt f a Source #

stimes :: Integral b => b -> Alt f a -> Alt f a Source #

(Applicative f, Bounded a) => Bounded (Ap f a) Source #

Since: base-4.12.0.0

Instance details

Defined in Data.Monoid

Methods

minBound :: Ap f a Source #

maxBound :: Ap f a Source #

(Applicative f, Num a) => Num (Ap f a) Source #

Note that even if the underlying Num and Applicative instances are lawful, for most Applicatives, this instance will not be lawful. If you use this instance with the list Applicative, the following customary laws will not hold:

Commutativity:

>>> Ap [10,20] + Ap [1,2]
Ap {getAp = [11,12,21,22]}
>>> Ap [1,2] + Ap [10,20]
Ap {getAp = [11,21,12,22]}

Additive inverse:

>>> Ap [] + negate (Ap [])
Ap {getAp = []}
>>> fromInteger 0 :: Ap [] Int
Ap {getAp = [0]}

Distributivity:

>>> Ap [1,2] * (3 + 4)
Ap {getAp = [7,14]}
>>> (Ap [1,2] * 3) + (Ap [1,2] * 4)
Ap {getAp = [7,11,10,14]}

Since: base-4.12.0.0

Instance details

Defined in Data.Monoid

Methods

(+) :: Ap f a -> Ap f a -> Ap f a Source #

(-) :: Ap f a -> Ap f a -> Ap f a Source #

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

negate :: Ap f a -> Ap f a Source #

abs :: Ap f a -> Ap f a Source #

signum :: Ap f a -> Ap f a Source #

fromInteger :: Integer -> Ap f a Source #

MonadFix f => MonadFix (M1 i c f) Source #

Since: base-4.9.0.0

Instance details

Defined in Control.Monad.Fix

Methods

mfix :: (a -> M1 i c f a) -> M1 i c f a Source #

MonadZip f => MonadZip (M1 i c f) Source #

Since: base-4.9.0.0

Instance details

Defined in Control.Monad.Zip

Methods

mzip :: M1 i c f a -> M1 i c f b -> M1 i c f (a, b) Source #

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

munzip :: M1 i c f (a, b) -> (M1 i c f a, M1 i c f b) Source #

(Typeable f, Typeable g, Data p, Data (f p), Data (g p)) => Data ((f :*: g) p) Source #

Since: base-4.9.0.0

Instance details

Defined in Data.Data

Methods

gfoldl :: (forall d b. Data d => c (d -> b) -> d -> c b) -> (forall g0. g0 -> c g0) -> (f :*: g) p -> c ((f :*: g) p) Source #

gunfold :: (forall b r. Data b => c (b -> r) -> c r) -> (forall r. r -> c r) -> Constr -> c ((f :*: g) p) Source #

toConstr :: (f :*: g) p -> Constr Source #

dataTypeOf :: (f :*: g) p -> DataType Source #

dataCast1 :: Typeable t => (forall d. Data d => c (t d)) -> Maybe (c ((f :*: g) p)) Source #

dataCast2 :: Typeable t => (forall d e. (Data d, Data e) => c (t d e)) -> Maybe (c ((f :*: g) p)) Source #

gmapT :: (forall b. Data b => b -> b) -> (f :*: g) p -> (f :*: g) p Source #

gmapQl :: (r -> r' -> r) -> r -> (forall d. Data d => d -> r') -> (f :*: g) p -> r Source #

gmapQr :: forall r r'. (r' -> r -> r) -> r -> (forall d. Data d => d -> r') -> (f :*: g) p -> r Source #

gmapQ :: (forall d. Data d => d -> u) -> (f :*: g) p -> [u] Source #

gmapQi :: Int -> (forall d. Data d => d -> u) -> (f :*: g) p -> u Source #

gmapM :: Monad m => (forall d. Data d => d -> m d) -> (f :*: g) p -> m ((f :*: g) p) Source #

gmapMp :: MonadPlus m => (forall d. Data d => d -> m d) -> (f :*: g) p -> m ((f :*: g) p) Source #

gmapMo :: MonadPlus m => (forall d. Data d => d -> m d) -> (f :*: g) p -> m ((f :*: g) p) Source #

(Typeable f, Typeable g, Data p, Data (f p), Data (g p)) => Data ((f :+: g) p) Source #

Since: base-4.9.0.0

Instance details

Defined in Data.Data

Methods

gfoldl :: (forall d b. Data d => c (d -> b) -> d -> c b) -> (forall g0. g0 -> c g0) -> (f :+: g) p -> c ((f :+: g) p) Source #

gunfold :: (forall b r. Data b => c (b -> r) -> c r) -> (forall r. r -> c r) -> Constr -> c ((f :+: g) p) Source #

toConstr :: (f :+: g) p -> Constr Source #

dataTypeOf :: (f :+: g) p -> DataType Source #

dataCast1 :: Typeable t => (forall d. Data d => c (t d)) -> Maybe (c ((f :+: g) p)) Source #

dataCast2 :: Typeable t => (forall d e. (Data d, Data e) => c (t d e)) -> Maybe (c ((f :+: g) p)) Source #

gmapT :: (forall b. Data b => b -> b) -> (f :+: g) p -> (f :+: g) p Source #

gmapQl :: (r -> r' -> r) -> r -> (forall d. Data d => d -> r') -> (f :+: g) p -> r Source #

gmapQr :: forall r r'. (r' -> r -> r) -> r -> (forall d. Data d => d -> r') -> (f :+: g) p -> r Source #

gmapQ :: (forall d. Data d => d -> u) -> (f :+: g) p -> [u] Source #

gmapQi :: Int -> (forall d. Data d => d -> u) -> (f :+: g) p -> u Source #

gmapM :: Monad m => (forall d. Data d => d -> m d) -> (f :+: g) p -> m ((f :+: g) p) Source #

gmapMp :: MonadPlus m => (forall d. Data d => d -> m d) -> (f :+: g) p -> m ((f :+: g) p) Source #

gmapMo :: MonadPlus m => (forall d. Data d => d -> m d) -> (f :+: g) p -> m ((f :+: g) p) Source #

(Typeable i, Data p, Data c) => Data (K1 i c p) Source #

Since: base-4.9.0.0

Instance details

Defined in Data.Data

Methods

gfoldl :: (forall d b. Data d => c0 (d -> b) -> d -> c0 b) -> (forall g. g -> c0 g) -> K1 i c p -> c0 (K1 i c p) Source #

gunfold :: (forall b r. Data b => c0 (b -> r) -> c0 r) -> (forall r. r -> c0 r) -> Constr -> c0 (K1 i c p) Source #

toConstr :: K1 i c p -> Constr Source #

dataTypeOf :: K1 i c p -> DataType Source #

dataCast1 :: Typeable t => (forall d. Data d => c0 (t d)) -> Maybe (c0 (K1 i c p)) Source #

dataCast2 :: Typeable t => (forall d e. (Data d, Data e) => c0 (t d e)) -> Maybe (c0 (K1 i c p)) Source #

gmapT :: (forall b. Data b => b -> b) -> K1 i c p -> K1 i c p Source #

gmapQl :: (r -> r' -> r) -> r -> (forall d. Data d => d -> r') -> K1 i c p -> r Source #

gmapQr :: forall r r'. (r' -> r -> r) -> r -> (forall d. Data d => d -> r') -> K1 i c p -> r Source #

gmapQ :: (forall d. Data d => d -> u) -> K1 i c p -> [u] Source #

gmapQi :: Int -> (forall d. Data d => d -> u) -> K1 i c p -> u Source #

gmapM :: Monad m => (forall d. Data d => d -> m d) -> K1 i c p -> m (K1 i c p) Source #

gmapMp :: MonadPlus m => (forall d. Data d => d -> m d) -> K1 i c p -> m (K1 i c p) Source #

gmapMo :: MonadPlus m => (forall d. Data d => d -> m d) -> K1 i c p -> m (K1 i c p) Source #

(Foldable f, Foldable g) => Foldable (Compose f g) Source #

Since: base-4.9.0.0

Instance details

Defined in Data.Functor.Compose

Methods

fold :: Monoid m => Compose f g m -> m Source #

foldMap :: Monoid m => (a -> m) -> Compose f g a -> m Source #

foldMap' :: Monoid m => (a -> m) -> Compose f g a -> m Source #

foldr :: (a -> b -> b) -> b -> Compose f g a -> b Source #

foldr' :: (a -> b -> b) -> b -> Compose f g a -> b Source #

foldl :: (b -> a -> b) -> b -> Compose f g a -> b Source #

foldl' :: (b -> a -> b) -> b -> Compose f g a -> b Source #

foldr1 :: (a -> a -> a) -> Compose f g a -> a Source #

foldl1 :: (a -> a -> a) -> Compose f g a -> a Source #

toList :: Compose f g a -> [a] Source #

null :: Compose f g a -> Bool Source #

length :: Compose f g a -> Int Source #

elem :: Eq a => a -> Compose f g a -> Bool Source #

maximum :: Ord a => Compose f g a -> a Source #

minimum :: Ord a => Compose f g a -> a Source #

sum :: Num a => Compose f g a -> a Source #

product :: Num a => Compose f g a -> a Source #

(Foldable f, Foldable g) => Foldable (f :.: g) Source #

Since: base-4.9.0.0

Instance details

Defined in Data.Foldable

Methods

fold :: Monoid m => (f :.: g) m -> m Source #

foldMap :: Monoid m => (a -> m) -> (f :.: g) a -> m Source #

foldMap' :: Monoid m => (a -> m) -> (f :.: g) a -> m Source #

foldr :: (a -> b -> b) -> b -> (f :.: g) a -> b Source #

foldr' :: (a -> b -> b) -> b -> (f :.: g) a -> b Source #

foldl :: (b -> a -> b) -> b -> (f :.: g) a -> b Source #

foldl' :: (b -> a -> b) -> b -> (f :.: g) a -> b Source #

foldr1 :: (a -> a -> a) -> (f :.: g) a -> a Source #

foldl1 :: (a -> a -> a) -> (f :.: g) a -> a Source #

toList :: (f :.: g) a -> [a] Source #

null :: (f :.: g) a -> Bool Source #

length :: (f :.: g) a -> Int Source #

elem :: Eq a => a -> (f :.: g) a -> Bool Source #

maximum :: Ord a => (f :.: g) a -> a Source #

minimum :: Ord a => (f :.: g) a -> a Source #

sum :: Num a => (f :.: g) a -> a Source #

product :: Num a => (f :.: g) a -> a Source #

Foldable f => Foldable (M1 i c f) Source #

Since: base-4.9.0.0

Instance details

Defined in Data.Foldable

Methods

fold :: Monoid m => M1 i c f m -> m Source #

foldMap :: Monoid m => (a -> m) -> M1 i c f a -> m Source #

foldMap' :: Monoid m => (a -> m) -> M1 i c f a -> m Source #

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

foldr' :: (a -> b -> b) -> b -> M1 i c f a -> b Source #

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

foldl' :: (b -> a -> b) -> b -> M1 i c f a -> b Source #

foldr1 :: (a -> a -> a) -> M1 i c f a -> a Source #

foldl1 :: (a -> a -> a) -> M1 i c f a -> a Source #

toList :: M1 i c f a -> [a] Source #

null :: M1 i c f a -> Bool Source #

length :: M1 i c f a -> Int Source #

elem :: Eq a => a -> M1 i c f a -> Bool Source #

maximum :: Ord a => M1 i c f a -> a Source #

minimum :: Ord a => M1 i c f a -> a Source #

sum :: Num a => M1 i c f a -> a Source #

product :: Num a => M1 i c f a -> a Source #

(Foldable1 f, Foldable1 g) => Foldable1 (Compose f g) Source #

Since: base-4.18.0.0

Instance details

Defined in Data.Foldable1

Methods

fold1 :: Semigroup m => Compose f g m -> m Source #

foldMap1 :: Semigroup m => (a -> m) -> Compose f g a -> m Source #

foldMap1' :: Semigroup m => (a -> m) -> Compose f g a -> m Source #

toNonEmpty :: Compose f g a -> NonEmpty a Source #

maximum :: Ord a => Compose f g a -> a Source #

minimum :: Ord a => Compose f g a -> a Source #

head :: Compose f g a -> a Source #

last :: Compose f g a -> a Source #

foldrMap1 :: (a -> b) -> (a -> b -> b) -> Compose f g a -> b Source #

foldlMap1' :: (a -> b) -> (b -> a -> b) -> Compose f g a -> b Source #

foldlMap1 :: (a -> b) -> (b -> a -> b) -> Compose f g a -> b Source #

foldrMap1' :: (a -> b) -> (a -> b -> b) -> Compose f g a -> b Source #

(Foldable1 f, Foldable1 g) => Foldable1 (f :.: g) Source #

Since: base-4.18.0.0

Instance details

Defined in Data.Foldable1

Methods

fold1 :: Semigroup m => (f :.: g) m -> m Source #

foldMap1 :: Semigroup m => (a -> m) -> (f :.: g) a -> m Source #

foldMap1' :: Semigroup m => (a -> m) -> (f :.: g) a -> m Source #

toNonEmpty :: (f :.: g) a -> NonEmpty a Source #

maximum :: Ord a => (f :.: g) a -> a Source #

minimum :: Ord a => (f :.: g) a -> a Source #

head :: (f :.: g) a -> a Source #

last :: (f :.: g) a -> a Source #

foldrMap1 :: (a -> b) -> (a -> b -> b) -> (f :.: g) a -> b Source #

foldlMap1' :: (a -> b) -> (b -> a -> b) -> (f :.: g) a -> b Source #

foldlMap1 :: (a -> b) -> (b -> a -> b) -> (f :.: g) a -> b Source #

foldrMap1' :: (a -> b) -> (a -> b -> b) -> (f :.: g) a -> b Source #

Foldable1 f => Foldable1 (M1 i c f) Source #

Since: base-4.18.0.0

Instance details

Defined in Data.Foldable1

Methods

fold1 :: Semigroup m => M1 i c f m -> m Source #

foldMap1 :: Semigroup m => (a -> m) -> M1 i c f a -> m Source #

foldMap1' :: Semigroup m => (a -> m) -> M1 i c f a -> m Source #

toNonEmpty :: M1 i c f a -> NonEmpty a Source #

maximum :: Ord a => M1 i c f a -> a Source #

minimum :: Ord a => M1 i c f a -> a Source #

head :: M1 i c f a -> a Source #

last :: M1 i c f a -> a Source #

foldrMap1 :: (a -> b) -> (a -> b -> b) -> M1 i c f a -> b Source #

foldlMap1' :: (a -> b) -> (b -> a -> b) -> M1 i c f a -> b Source #

foldlMap1 :: (a -> b) -> (b -> a -> b) -> M1 i c f a -> b Source #

foldrMap1' :: (a -> b) -> (a -> b -> b) -> M1 i c f a -> b Source #

(Eq1 f, Eq1 g) => Eq1 (Compose f g) Source #

Since: base-4.9.0.0

Instance details

Defined in Data.Functor.Compose

Methods

liftEq :: (a -> b -> Bool) -> Compose f g a -> Compose f g b -> Bool Source #

(Ord1 f, Ord1 g) => Ord1 (Compose f g) Source #

Since: base-4.9.0.0

Instance details

Defined in Data.Functor.Compose

Methods

liftCompare :: (a -> b -> Ordering) -> Compose f g a -> Compose f g b -> Ordering Source #

(Read1 f, Read1 g) => Read1 (Compose f g) Source #

Since: base-4.9.0.0

Instance details

Defined in Data.Functor.Compose

Methods

liftReadsPrec :: (Int -> ReadS a) -> ReadS [a] -> Int -> ReadS (Compose f g a) Source #

liftReadList :: (Int -> ReadS a) -> ReadS [a] -> ReadS [Compose f g a] Source #

liftReadPrec :: ReadPrec a -> ReadPrec [a] -> ReadPrec (Compose f g a) Source #

liftReadListPrec :: ReadPrec a -> ReadPrec [a] -> ReadPrec [Compose f g a] Source #

(Show1 f, Show1 g) => Show1 (Compose f g) Source #

Since: base-4.9.0.0

Instance details

Defined in Data.Functor.Compose

Methods

liftShowsPrec :: (Int -> a -> ShowS) -> ([a] -> ShowS) -> Int -> Compose f g a -> ShowS Source #

liftShowList :: (Int -> a -> ShowS) -> ([a] -> ShowS) -> [Compose f g a] -> ShowS Source #

(Functor f, Contravariant g) => Contravariant (Compose f g) Source # 
Instance details

Defined in Data.Functor.Contravariant

Methods

contramap :: (a' -> a) -> Compose f g a -> Compose f g a' Source #

(>$) :: b -> Compose f g b -> Compose f g a Source #

(Functor f, Contravariant g) => Contravariant (f :.: g) Source # 
Instance details

Defined in Data.Functor.Contravariant

Methods

contramap :: (a' -> a) -> (f :.: g) a -> (f :.: g) a' Source #

(>$) :: b -> (f :.: g) b -> (f :.: g) a Source #

Contravariant f => Contravariant (M1 i c f) Source # 
Instance details

Defined in Data.Functor.Contravariant

Methods

contramap :: (a' -> a) -> M1 i c f a -> M1 i c f a' Source #

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

(Traversable f, Traversable g) => Traversable (Compose f g) Source #

Since: base-4.9.0.0

Instance details

Defined in Data.Functor.Compose

Methods

traverse :: Applicative f0 => (a -> f0 b) -> Compose f g a -> f0 (Compose f g b) Source #

sequenceA :: Applicative f0 => Compose f g (f0 a) -> f0 (Compose f g a) Source #

mapM :: Monad m => (a -> m b) -> Compose f g a -> m (Compose f g b) Source #

sequence :: Monad m => Compose f g (m a) -> m (Compose f g a) Source #

(Traversable f, Traversable g) => Traversable (f :.: g) Source #

Since: base-4.9.0.0

Instance details

Defined in Data.Traversable

Methods

traverse :: Applicative f0 => (a -> f0 b) -> (f :.: g) a -> f0 ((f :.: g) b) Source #

sequenceA :: Applicative f0 => (f :.: g) (f0 a) -> f0 ((f :.: g) a) Source #

mapM :: Monad m => (a -> m b) -> (f :.: g) a -> m ((f :.: g) b) Source #

sequence :: Monad m => (f :.: g) (m a) -> m ((f :.: g) a) Source #

Traversable f => Traversable (M1 i c f) Source #

Since: base-4.9.0.0

Instance details

Defined in Data.Traversable

Methods

traverse :: Applicative f0 => (a -> f0 b) -> M1 i c f a -> f0 (M1 i c f b) Source #

sequenceA :: Applicative f0 => M1 i c f (f0 a) -> f0 (M1 i c f a) Source #

mapM :: Monad m => (a -> m b) -> M1 i c f a -> m (M1 i c f b) Source #

sequence :: Monad m => M1 i c f (m a) -> m (M1 i c f a) Source #

(Alternative f, Applicative g) => Alternative (Compose f g) Source #

Since: base-4.9.0.0

Instance details

Defined in Data.Functor.Compose

Methods

empty :: Compose f g a Source #

(<|>) :: Compose f g a -> Compose f g a -> Compose f g a Source #

some :: Compose f g a -> Compose f g [a] Source #

many :: Compose f g a -> Compose f g [a] Source #

(Alternative f, Applicative g) => Alternative (f :.: g) Source #

Since: base-4.9.0.0

Instance details

Defined in GHC.Generics

Methods

empty :: (f :.: g) a Source #

(<|>) :: (f :.: g) a -> (f :.: g) a -> (f :.: g) a Source #

some :: (f :.: g) a -> (f :.: g) [a] Source #

many :: (f :.: g) a -> (f :.: g) [a] Source #

Alternative f => Alternative (M1 i c f) Source #

Since: base-4.9.0.0

Instance details

Defined in GHC.Generics

Methods

empty :: M1 i c f a Source #

(<|>) :: M1 i c f a -> M1 i c f a -> M1 i c f a Source #

some :: M1 i c f a -> M1 i c f [a] Source #

many :: M1 i c f a -> M1 i c f [a] Source #

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

Since: base-4.9.0.0

Instance details

Defined in Data.Functor.Compose

Methods

pure :: a -> Compose f g a Source #

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

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

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

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

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

Since: base-4.9.0.0

Instance details

Defined in GHC.Generics

Methods

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

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

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

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

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

Applicative f => Applicative (M1 i c f) Source #

Since: base-4.9.0.0

Instance details

Defined in GHC.Generics

Methods

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

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

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

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

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

(Functor f, Functor g) => Functor (Compose f g) Source #

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 Source #

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

(Functor f, Functor g) => Functor (f :.: g) Source #

Since: base-4.9.0.0

Instance details

Defined in GHC.Generics

Methods

fmap :: (a -> b) -> (f :.: g) a -> (f :.: g) b Source #

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

Functor f => Functor (M1 i c f) Source #

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 Source #

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

Monad f => Monad (M1 i c f) Source #

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 Source #

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

return :: a -> M1 i c f a Source #

MonadPlus f => MonadPlus (M1 i c f) Source #

Since: base-4.9.0.0

Instance details

Defined in GHC.Generics

Methods

mzero :: M1 i c f a Source #

mplus :: M1 i c f a -> M1 i c f a -> M1 i c f a Source #

(Typeable f, Typeable g, Data p, Data (f (g p))) => Data ((f :.: g) p) Source #

Since: base-4.9.0.0

Instance details

Defined in Data.Data

Methods

gfoldl :: (forall d b. Data d => c (d -> b) -> d -> c b) -> (forall g0. g0 -> c g0) -> (f :.: g) p -> c ((f :.: g) p) Source #

gunfold :: (forall b r. Data b => c (b -> r) -> c r) -> (forall r. r -> c r) -> Constr -> c ((f :.: g) p) Source #

toConstr :: (f :.: g) p -> Constr Source #

dataTypeOf :: (f :.: g) p -> DataType Source #

dataCast1 :: Typeable t => (forall d. Data d => c (t d)) -> Maybe (c ((f :.: g) p)) Source #

dataCast2 :: Typeable t => (forall d e. (Data d, Data e) => c (t d e)) -> Maybe (c ((f :.: g) p)) Source #

gmapT :: (forall b. Data b => b -> b) -> (f :.: g) p -> (f :.: g) p Source #

gmapQl :: (r -> r' -> r) -> r -> (forall d. Data d => d -> r') -> (f :.: g) p -> r Source #

gmapQr :: forall r r'. (r' -> r -> r) -> r -> (forall d. Data d => d -> r') -> (f :.: g) p -> r Source #

gmapQ :: (forall d. Data d => d -> u) -> (f :.: g) p -> [u] Source #

gmapQi :: Int -> (forall d. Data d => d -> u) -> (f :.: g) p -> u Source #

gmapM :: Monad m => (forall d. Data d => d -> m d) -> (f :.: g) p -> m ((f :.: g) p) Source #

gmapMp :: MonadPlus m => (forall d. Data d => d -> m d) -> (f :.: g) p -> m ((f :.: g) p) Source #

gmapMo :: MonadPlus m => (forall d. Data d => d -> m d) -> (f :.: g) p -> m ((f :.: g) p) Source #

(Data p, Data (f p), Typeable c, Typeable i, Typeable f) => Data (M1 i c f p) Source #

Since: base-4.9.0.0

Instance details

Defined in Data.Data

Methods

gfoldl :: (forall d b. Data d => c0 (d -> b) -> d -> c0 b) -> (forall g. g -> c0 g) -> M1 i c f p -> c0 (M1 i c f p) Source #

gunfold :: (forall b r. Data b => c0 (b -> r) -> c0 r) -> (forall r. r -> c0 r) -> Constr -> c0 (M1 i c f p) Source #

toConstr :: M1 i c f p -> Constr Source #

dataTypeOf :: M1 i c f p -> DataType Source #

dataCast1 :: Typeable t => (forall d. Data d => c0 (t d)) -> Maybe (c0 (M1 i c f p)) Source #

dataCast2 :: Typeable t => (forall d e. (Data d, Data e) => c0 (t d e)) -> Maybe (c0 (M1 i c f p)) Source #

gmapT :: (forall b. Data b => b -> b) -> M1 i c f p -> M1 i c f p Source #

gmapQl :: (r -> r' -> r) -> r -> (forall d. Data d => d -> r') -> M1 i c f p -> r Source #

gmapQr :: forall r r'. (r' -> r -> r) -> r -> (forall d. Data d => d -> r') -> M1 i c f p -> r Source #

gmapQ :: (forall d. Data d => d -> u) -> M1 i c f p -> [u] Source #

gmapQi :: Int -> (forall d. Data d => d -> u) -> M1 i c f p -> u Source #

gmapM :: Monad m => (forall d. Data d => d -> m d) -> M1 i c f p -> m (M1 i c f p) Source #

gmapMp :: MonadPlus m => (forall d. Data d => d -> m d) -> M1 i c f p -> m (M1 i c f p) Source #

gmapMo :: MonadPlus m => (forall d. Data d => d -> m d) -> M1 i c f p -> m (M1 i c f p) Source #

type Rep1 ZipList Source #

Since: base-4.7.0.0

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 List)))
type Rep1 Complex Source #

Since: base-4.9.0.0

Instance details

Defined in Data.Complex

type Rep1 Identity Source #

Since: base-4.8.0.0

Instance details

Defined in Data.Functor.Identity

type Rep1 Identity = D1 ('MetaData "Identity" "Data.Functor.Identity" "base" 'True) (C1 ('MetaCons "Identity" 'PrefixI 'True) (S1 ('MetaSel ('Just "runIdentity") 'NoSourceUnpackedness 'NoSourceStrictness 'DecidedLazy) Par1))
type Rep1 First Source #

Since: base-4.7.0.0

Instance details

Defined in Data.Monoid

type Rep1 First = D1 ('MetaData "First" "Data.Monoid" "base" 'True) (C1 ('MetaCons "First" 'PrefixI 'True) (S1 ('MetaSel ('Just "getFirst") 'NoSourceUnpackedness 'NoSourceStrictness 'DecidedLazy) (Rec1 Maybe)))
type Rep1 Last Source #

Since: base-4.7.0.0

Instance details

Defined in Data.Monoid

type Rep1 Last = D1 ('MetaData "Last" "Data.Monoid" "base" 'True) (C1 ('MetaCons "Last" 'PrefixI 'True) (S1 ('MetaSel ('Just "getLast") 'NoSourceUnpackedness 'NoSourceStrictness 'DecidedLazy) (Rec1 Maybe)))
type Rep1 Down Source #

Since: base-4.12.0.0

Instance details

Defined in GHC.Generics

type Rep1 Down = D1 ('MetaData "Down" "Data.Ord" "base" 'True) (C1 ('MetaCons "Down" 'PrefixI 'True) (S1 ('MetaSel ('Just "getDown") 'NoSourceUnpackedness 'NoSourceStrictness 'DecidedLazy) Par1))
type Rep1 First Source #

Since: base-4.9.0.0

Instance details

Defined in Data.Semigroup

type Rep1 First = D1 ('MetaData "First" "Data.Semigroup" "base" 'True) (C1 ('MetaCons "First" 'PrefixI 'True) (S1 ('MetaSel ('Just "getFirst") 'NoSourceUnpackedness 'NoSourceStrictness 'DecidedLazy) Par1))
type Rep1 Last Source #

Since: base-4.9.0.0

Instance details

Defined in Data.Semigroup

type Rep1 Last = D1 ('MetaData "Last" "Data.Semigroup" "base" 'True) (C1 ('MetaCons "Last" 'PrefixI 'True) (S1 ('MetaSel ('Just "getLast") 'NoSourceUnpackedness 'NoSourceStrictness 'DecidedLazy) Par1))
type Rep1 Max Source #

Since: base-4.9.0.0

Instance details

Defined in Data.Semigroup

type Rep1 Max = D1 ('MetaData "Max" "Data.Semigroup" "base" 'True) (C1 ('MetaCons "Max" 'PrefixI 'True) (S1 ('MetaSel ('Just "getMax") 'NoSourceUnpackedness 'NoSourceStrictness 'DecidedLazy) Par1))
type Rep1 Min Source #

Since: base-4.9.0.0

Instance details

Defined in Data.Semigroup

type Rep1 Min = D1 ('MetaData "Min" "Data.Semigroup" "base" 'True) (C1 ('MetaCons "Min" 'PrefixI 'True) (S1 ('MetaSel ('Just "getMin") 'NoSourceUnpackedness 'NoSourceStrictness 'DecidedLazy) Par1))
type Rep1 WrappedMonoid Source #

Since: base-4.9.0.0

Instance details

Defined in Data.Semigroup

type Rep1 WrappedMonoid = D1 ('MetaData "WrappedMonoid" "Data.Semigroup" "base" 'True) (C1 ('MetaCons "WrapMonoid" 'PrefixI 'True) (S1 ('MetaSel ('Just "unwrapMonoid") 'NoSourceUnpackedness 'NoSourceStrictness 'DecidedLazy) Par1))
type Rep1 Dual Source #

Since: base-4.7.0.0

Instance details

Defined in Data.Semigroup.Internal

type Rep1 Dual = D1 ('MetaData "Dual" "Data.Semigroup.Internal" "base" 'True) (C1 ('MetaCons "Dual" 'PrefixI 'True) (S1 ('MetaSel ('Just "getDual") 'NoSourceUnpackedness 'NoSourceStrictness 'DecidedLazy) Par1))
type Rep1 Product Source #

Since: base-4.7.0.0

Instance details

Defined in Data.Semigroup.Internal

type Rep1 Product = D1 ('MetaData "Product" "Data.Semigroup.Internal" "base" 'True) (C1 ('MetaCons "Product" 'PrefixI 'True) (S1 ('MetaSel ('Just "getProduct") 'NoSourceUnpackedness 'NoSourceStrictness 'DecidedLazy) Par1))
type Rep1 Sum Source #

Since: base-4.7.0.0

Instance details

Defined in Data.Semigroup.Internal

type Rep1 Sum = D1 ('MetaData "Sum" "Data.Semigroup.Internal" "base" 'True) (C1 ('MetaCons "Sum" 'PrefixI 'True) (S1 ('MetaSel ('Just "getSum") 'NoSourceUnpackedness 'NoSourceStrictness 'DecidedLazy) Par1))
type Rep1 NonEmpty Source #

Since: base-4.6.0.0

Instance details

Defined in GHC.Generics

type Rep1 Par1 Source #

Since: base-4.9.0.0

Instance details

Defined in GHC.Generics

type Rep1 Par1 = D1 ('MetaData "Par1" "GHC.Generics" "base" 'True) (C1 ('MetaCons "Par1" 'PrefixI 'True) (S1 ('MetaSel ('Just "unPar1") 'NoSourceUnpackedness 'NoSourceStrictness 'DecidedLazy) Par1))
type Rep1 Maybe Source #

Since: base-4.6.0.0

Instance details

Defined in GHC.Generics

type Rep1 Maybe = D1 ('MetaData "Maybe" "GHC.Maybe" "base" 'False) (C1 ('MetaCons "Nothing" 'PrefixI 'False) (U1 :: Type -> Type) :+: C1 ('MetaCons "Just" 'PrefixI 'False) (S1 ('MetaSel ('Nothing :: Maybe Symbol) 'NoSourceUnpackedness 'NoSourceStrictness 'DecidedLazy) Par1))
type Rep1 Solo Source #

Since: base-4.15

Instance details

Defined in GHC.Generics

type Rep1 Solo = D1 ('MetaData "Solo" "GHC.Tuple.Prim" "ghc-prim" 'False) (C1 ('MetaCons "MkSolo" 'PrefixI 'False) (S1 ('MetaSel ('Nothing :: Maybe Symbol) 'NoSourceUnpackedness 'NoSourceStrictness 'DecidedLazy) Par1))
type Rep1 List Source #

Since: base-4.6.0.0

Instance details

Defined in GHC.Generics

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

Since: base-4.7.0.0

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 Rep1 (Either a :: Type -> Type) Source #

Since: base-4.6.0.0

Instance details

Defined in GHC.Generics

type Rep1 (Arg a :: Type -> Type) Source #

Since: base-4.9.0.0

Instance details

Defined in Data.Semigroup

type Rep1 (Tuple2 a :: Type -> Type) Source #

Since: base-4.6.0.0

Instance details

Defined in GHC.Generics

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

Since: base-4.7.0.0

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 Rep1 (Kleisli m a :: Type -> Type) Source #

Since: base-4.14.0.0

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) ((FUN 'Many a :: Type -> Type) :.: Rec1 m)))
type Rep1 (Tuple3 a b :: Type -> Type) Source #

Since: base-4.6.0.0

Instance details

Defined in GHC.Generics

type Rep1 (Tuple4 a b c :: Type -> Type) Source #

Since: base-4.6.0.0

Instance details

Defined in GHC.Generics

type Rep1 (Tuple5 a b c d :: Type -> Type) Source #

Since: base-4.6.0.0

Instance details

Defined in GHC.Generics

type Rep1 (Compose f g :: k -> Type) Source #

Since: base-4.9.0.0

Instance details

Defined in Data.Functor.Compose

type Rep1 (Compose f g :: k -> Type) = D1 ('MetaData "Compose" "Data.Functor.Compose" "base" 'True) (C1 ('MetaCons "Compose" 'PrefixI 'True) (S1 ('MetaSel ('Just "getCompose") 'NoSourceUnpackedness 'NoSourceStrictness 'DecidedLazy) (f :.: Rec1 g)))
type Rep1 (f :.: g :: k -> Type) Source #

Since: base-4.9.0.0

Instance details

Defined in GHC.Generics

type Rep1 (f :.: g :: k -> Type) = D1 ('MetaData ":.:" "GHC.Generics" "base" 'True) (C1 ('MetaCons "Comp1" 'PrefixI 'True) (S1 ('MetaSel ('Just "unComp1") 'NoSourceUnpackedness 'NoSourceStrictness 'DecidedLazy) (f :.: Rec1 g)))
type Rep1 (Tuple6 a b c d e :: Type -> Type) Source #

Since: base-4.6.0.0

Instance details

Defined in GHC.Generics

type Rep1 (Tuple7 a b c d e f :: Type -> Type) Source #

Since: base-4.6.0.0

Instance details

Defined in GHC.Generics

type Rep1 (Tuple8 a b c d e f g :: Type -> Type) Source #

Since: base-4.16.0.0

Instance details

Defined in GHC.Generics

type Rep1 (Tuple9 a b c d e f g h :: Type -> Type) Source #

Since: base-4.16.0.0

Instance details

Defined in GHC.Generics

type Rep1 (Tuple10 a b c d e f g h i :: Type -> Type) Source #

Since: base-4.16.0.0

Instance details

Defined in GHC.Generics

type Rep1 (Tuple11 a b c d e f g h i j :: Type -> Type) Source #

Since: base-4.16.0.0

Instance details

Defined in GHC.Generics

type Rep1 (Tuple12 a b c d e f g h i j k :: Type -> Type) Source #

Since: base-4.16.0.0

Instance details

Defined in GHC.Generics

type Rep1 (Tuple13 a b c d e f g h i j k l :: Type -> Type) Source #

Since: base-4.16.0.0

Instance details

Defined in GHC.Generics

type Rep1 (Tuple13 a b c d e f g h i j k l :: Type -> Type) = D1 ('MetaData "Tuple13" "GHC.Tuple.Prim" "ghc-prim" 'False) (C1 ('MetaCons "(,,,,,,,,,,,,)" 'PrefixI 'False) (((S1 ('MetaSel ('Nothing :: Maybe Symbol) 'NoSourceUnpackedness 'NoSourceStrictness 'DecidedLazy) (Rec0 a) :*: (S1 ('MetaSel ('Nothing :: Maybe Symbol) 'NoSourceUnpackedness 'NoSourceStrictness 'DecidedLazy) (Rec0 b) :*: S1 ('MetaSel ('Nothing :: Maybe Symbol) 'NoSourceUnpackedness 'NoSourceStrictness 'DecidedLazy) (Rec0 c))) :*: (S1 ('MetaSel ('Nothing :: Maybe Symbol) 'NoSourceUnpackedness 'NoSourceStrictness 'DecidedLazy) (Rec0 d) :*: (S1 ('MetaSel ('Nothing :: Maybe Symbol) 'NoSourceUnpackedness 'NoSourceStrictness 'DecidedLazy) (Rec0 e) :*: S1 ('MetaSel ('Nothing :: Maybe Symbol) 'NoSourceUnpackedness 'NoSourceStrictness 'DecidedLazy) (Rec0 f)))) :*: ((S1 ('MetaSel ('Nothing :: Maybe Symbol) 'NoSourceUnpackedness 'NoSourceStrictness 'DecidedLazy) (Rec0 g) :*: (S1 ('MetaSel ('Nothing :: Maybe Symbol) 'NoSourceUnpackedness 'NoSourceStrictness 'DecidedLazy) (Rec0 h) :*: S1 ('MetaSel ('Nothing :: Maybe Symbol) 'NoSourceUnpackedness 'NoSourceStrictness 'DecidedLazy) (Rec0 i))) :*: ((S1 ('MetaSel ('Nothing :: Maybe Symbol) 'NoSourceUnpackedness 'NoSourceStrictness 'DecidedLazy) (Rec0 j) :*: S1 ('MetaSel ('Nothing :: Maybe Symbol) 'NoSourceUnpackedness 'NoSourceStrictness 'DecidedLazy) (Rec0 k)) :*: (S1 ('MetaSel ('Nothing :: Maybe Symbol) 'NoSourceUnpackedness 'NoSourceStrictness 'DecidedLazy) (Rec0 l) :*: S1 ('MetaSel ('Nothing :: Maybe Symbol) 'NoSourceUnpackedness 'NoSourceStrictness 'DecidedLazy) Par1)))))
type Rep1 (Tuple14 a b c d e f g h i j k l m :: Type -> Type) Source #

Since: base-4.16.0.0

Instance details

Defined in GHC.Generics

type Rep1 (Tuple14 a b c d e f g h i j k l m :: Type -> Type) = D1 ('MetaData "Tuple14" "GHC.Tuple.Prim" "ghc-prim" 'False) (C1 ('MetaCons "(,,,,,,,,,,,,,)" 'PrefixI 'False) (((S1 ('MetaSel ('Nothing :: Maybe Symbol) 'NoSourceUnpackedness 'NoSourceStrictness 'DecidedLazy) (Rec0 a) :*: (S1 ('MetaSel ('Nothing :: Maybe Symbol) 'NoSourceUnpackedness 'NoSourceStrictness 'DecidedLazy) (Rec0 b) :*: S1 ('MetaSel ('Nothing :: Maybe Symbol) 'NoSourceUnpackedness 'NoSourceStrictness 'DecidedLazy) (Rec0 c))) :*: ((S1 ('MetaSel ('Nothing :: Maybe Symbol) 'NoSourceUnpackedness 'NoSourceStrictness 'DecidedLazy) (Rec0 d) :*: S1 ('MetaSel ('Nothing :: Maybe Symbol) 'NoSourceUnpackedness 'NoSourceStrictness 'DecidedLazy) (Rec0 e)) :*: (S1 ('MetaSel ('Nothing :: Maybe Symbol) 'NoSourceUnpackedness 'NoSourceStrictness 'DecidedLazy) (Rec0 f) :*: S1 ('MetaSel ('Nothing :: Maybe Symbol) 'NoSourceUnpackedness 'NoSourceStrictness 'DecidedLazy) (Rec0 g)))) :*: ((S1 ('MetaSel ('Nothing :: Maybe Symbol) 'NoSourceUnpackedness 'NoSourceStrictness 'DecidedLazy) (Rec0 h) :*: (S1 ('MetaSel ('Nothing :: Maybe Symbol) 'NoSourceUnpackedness 'NoSourceStrictness 'DecidedLazy) (Rec0 i) :*: S1 ('MetaSel ('Nothing :: Maybe Symbol) 'NoSourceUnpackedness 'NoSourceStrictness 'DecidedLazy) (Rec0 j))) :*: ((S1 ('MetaSel ('Nothing :: Maybe Symbol) 'NoSourceUnpackedness 'NoSourceStrictness 'DecidedLazy) (Rec0 k) :*: S1 ('MetaSel ('Nothing :: Maybe Symbol) 'NoSourceUnpackedness 'NoSourceStrictness 'DecidedLazy) (Rec0 l)) :*: (S1 ('MetaSel ('Nothing :: Maybe Symbol) 'NoSourceUnpackedness 'NoSourceStrictness 'DecidedLazy) (Rec0 m) :*: S1 ('MetaSel ('Nothing :: Maybe Symbol) 'NoSourceUnpackedness 'NoSourceStrictness 'DecidedLazy) Par1)))))
type Rep1 (Tuple15 a b c d e f g h i j k l m n :: Type -> Type) Source #

Since: base-4.16.0.0

Instance details

Defined in GHC.Generics

type Rep1 (Tuple15 a b c d e f g h i j k l m n :: Type -> Type) = D1 ('MetaData "Tuple15" "GHC.Tuple.Prim" "ghc-prim" 'False) (C1 ('MetaCons "(,,,,,,,,,,,,,,)" 'PrefixI 'False) (((S1 ('MetaSel ('Nothing :: Maybe Symbol) 'NoSourceUnpackedness 'NoSourceStrictness 'DecidedLazy) (Rec0 a) :*: (S1 ('MetaSel ('Nothing :: Maybe Symbol) 'NoSourceUnpackedness 'NoSourceStrictness 'DecidedLazy) (Rec0 b) :*: S1 ('MetaSel ('Nothing :: Maybe Symbol) 'NoSourceUnpackedness 'NoSourceStrictness 'DecidedLazy) (Rec0 c))) :*: ((S1 ('MetaSel ('Nothing :: Maybe Symbol) 'NoSourceUnpackedness 'NoSourceStrictness 'DecidedLazy) (Rec0 d) :*: S1 ('MetaSel ('Nothing :: Maybe Symbol) 'NoSourceUnpackedness 'NoSourceStrictness 'DecidedLazy) (Rec0 e)) :*: (S1 ('MetaSel ('Nothing :: Maybe Symbol) 'NoSourceUnpackedness 'NoSourceStrictness 'DecidedLazy) (Rec0 f) :*: S1 ('MetaSel ('Nothing :: Maybe Symbol) 'NoSourceUnpackedness 'NoSourceStrictness 'DecidedLazy) (Rec0 g)))) :*: (((S1 ('MetaSel ('Nothing :: Maybe Symbol) 'NoSourceUnpackedness 'NoSourceStrictness 'DecidedLazy) (Rec0 h) :*: S1 ('MetaSel ('Nothing :: Maybe Symbol) 'NoSourceUnpackedness 'NoSourceStrictness 'DecidedLazy) (Rec0 i)) :*: (S1 ('MetaSel ('Nothing :: Maybe Symbol) 'NoSourceUnpackedness 'NoSourceStrictness 'DecidedLazy) (Rec0 j) :*: S1 ('MetaSel ('Nothing :: Maybe Symbol) 'NoSourceUnpackedness 'NoSourceStrictness 'DecidedLazy) (Rec0 k))) :*: ((S1 ('MetaSel ('Nothing :: Maybe Symbol) 'NoSourceUnpackedness 'NoSourceStrictness 'DecidedLazy) (Rec0 l) :*: S1 ('MetaSel ('Nothing :: Maybe Symbol) 'NoSourceUnpackedness 'NoSourceStrictness 'DecidedLazy) (Rec0 m)) :*: (S1 ('MetaSel ('Nothing :: Maybe Symbol) 'NoSourceUnpackedness 'NoSourceStrictness 'DecidedLazy) (Rec0 n) :*: S1 ('MetaSel ('Nothing :: Maybe Symbol) 'NoSourceUnpackedness 'NoSourceStrictness 'DecidedLazy) Par1)))))

rightSection :: forall {n :: Multiplicity} {o :: Multiplicity} a b c. (a %n -> b %o -> c) -> b %o -> a %n -> c Source #

leftSection :: forall {n :: Multiplicity} a b. (a %n -> b) -> a %n -> b Source #

module GHC.Err

module GHC.Maybe