precursor-0.1.0.0: Prelude replacement

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LanguageHaskell2010

Precursor.Control.Applicative

Contents

Synopsis

Applicative functors

class Functor f => Applicative f where #

A functor with application, providing operations to

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

A minimal complete definition must include implementations of these functions satisfying the following laws:

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

If f is also a Monad, it should satisfy

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

Minimal complete definition

pure, (<*>)

Methods

pure :: a -> f a #

Lift a value.

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

Sequential application.

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

Sequence actions, discarding the value of the first argument.

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

Sequence actions, discarding the value of the second argument.

Instances

Applicative [] 

Methods

pure :: a -> [a] #

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

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

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

Applicative Maybe 

Methods

pure :: a -> Maybe a #

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

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

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

Applicative IO 

Methods

pure :: a -> IO a #

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

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

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

Applicative U1 

Methods

pure :: a -> U1 a #

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

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

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

Applicative Par1 

Methods

pure :: a -> Par1 a #

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

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

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

Applicative Q 

Methods

pure :: a -> Q a #

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

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

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

Applicative Id 

Methods

pure :: a -> Id a #

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

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

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

Applicative Identity 

Methods

pure :: a -> Identity a #

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

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

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

Applicative Min 

Methods

pure :: a -> Min a #

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

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

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

Applicative Max 

Methods

pure :: a -> Max a #

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

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

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

Applicative First 

Methods

pure :: a -> First a #

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

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

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

Applicative Last 

Methods

pure :: a -> Last a #

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

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

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

Applicative Option 

Methods

pure :: a -> Option a #

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

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

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

Applicative NonEmpty 

Methods

pure :: a -> NonEmpty a #

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

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

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

Applicative Complex 

Methods

pure :: a -> Complex a #

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

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

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

Applicative ZipList 

Methods

pure :: a -> ZipList a #

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

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

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

Applicative Dual 

Methods

pure :: a -> Dual a #

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

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

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

Applicative Sum 

Methods

pure :: a -> Sum a #

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

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

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

Applicative Product 

Methods

pure :: a -> Product a #

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

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

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

Applicative First 

Methods

pure :: a -> First a #

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

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

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

Applicative Last 

Methods

pure :: a -> Last a #

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

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

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

Applicative Seq 

Methods

pure :: a -> Seq a #

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

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

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

Applicative Product # 

Methods

pure :: a -> Product a #

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

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

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

Applicative Sum # 

Methods

pure :: a -> Sum a #

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

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

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

Applicative ((->) a) 

Methods

pure :: a -> a -> a #

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

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

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

Applicative (Either e) 

Methods

pure :: a -> Either e a #

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

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

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

Applicative f => Applicative (Rec1 f) 

Methods

pure :: a -> Rec1 f a #

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

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

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

Monoid a => Applicative ((,) a) 

Methods

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

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

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

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

Applicative (StateL s) 

Methods

pure :: a -> StateL s a #

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

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

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

Applicative (StateR s) 

Methods

pure :: a -> StateR s a #

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

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

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

Monad m => Applicative (WrappedMonad m) 

Methods

pure :: a -> WrappedMonad m a #

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

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

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

Arrow a => Applicative (ArrowMonad a) 

Methods

pure :: a -> ArrowMonad a a #

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

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

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

Applicative (Proxy *) 

Methods

pure :: a -> Proxy * a #

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

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

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

Applicative (State s) 

Methods

pure :: a -> State s a #

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

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

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

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

Methods

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

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

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

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

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

Methods

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

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

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

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

Arrow a => Applicative (WrappedArrow a b) 

Methods

pure :: a -> WrappedArrow a b a #

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

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

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

Monoid m => Applicative (Const * m) 

Methods

pure :: a -> Const * m a #

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

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

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

Applicative f => Applicative (Alt * f) 

Methods

pure :: a -> Alt * f a #

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

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

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

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

Methods

pure :: a -> ErrorT e m a #

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

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

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

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

Methods

pure :: a -> StateT s m a #

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

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

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

Applicative (Tagged k s) 

Methods

pure :: a -> Tagged k s a #

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

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

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

Applicative f => Applicative (M1 i c f) 

Methods

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

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

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

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

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

Methods

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

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

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

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

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

Methods

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

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

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

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

pure :: Applicative f => forall a. a -> f a #

Lift a value.

(<*>) :: Applicative f => forall a b. f (a -> b) -> f a -> f b #

Sequential application.

(*>) :: Applicative f => forall a b. f a -> f b -> f b #

Sequence actions, discarding the value of the first argument.

(<*) :: Applicative f => forall a b. f a -> f b -> f a #

Sequence actions, discarding the value of the second argument.

Instances

newtype Const k a b :: forall k. * -> k -> * #

The Const functor.

Constructors

Const 

Fields

Instances

Eq2 (Const *) 

Methods

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

Ord2 (Const *) 

Methods

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

Read2 (Const *) 

Methods

liftReadsPrec2 :: (Int -> ReadS a) -> ReadS [a] -> (Int -> ReadS b) -> ReadS [b] -> Int -> ReadS (Const * a b) #

liftReadList2 :: (Int -> ReadS a) -> ReadS [a] -> (Int -> ReadS b) -> ReadS [b] -> ReadS [Const * a b] #

Show2 (Const *) 

Methods

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

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

Bifunctor (Const *) 

Methods

bimap :: (a -> b) -> (c -> d) -> Const * a c -> Const * b d #

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

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

Functor (Const * m) 

Methods

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

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

Monoid m => Applicative (Const * m) 

Methods

pure :: a -> Const * m a #

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

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

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

Foldable (Const * m) 

Methods

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

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

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

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

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

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

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

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

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

null :: Const * m a -> Bool #

length :: Const * m a -> Int #

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

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

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

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

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

Traversable (Const * m) 

Methods

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

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

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

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

Generic1 (Const * a) 

Associated Types

type Rep1 (Const * a :: * -> *) :: * -> * #

Methods

from1 :: Const * a a -> Rep1 (Const * a) a #

to1 :: Rep1 (Const * a) a -> Const * a a #

Eq a => Eq1 (Const * a) 

Methods

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

Ord a => Ord1 (Const * a) 

Methods

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

Read a => Read1 (Const * a) 

Methods

liftReadsPrec :: (Int -> ReadS a) -> ReadS [a] -> Int -> ReadS (Const * a a) #

liftReadList :: (Int -> ReadS a) -> ReadS [a] -> ReadS [Const * a a] #

Show a => Show1 (Const * a) 

Methods

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

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

Bounded a => Bounded (Const k a b) 

Methods

minBound :: Const k a b #

maxBound :: Const k a b #

Enum a => Enum (Const k a b) 

Methods

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

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

toEnum :: Int -> Const k a b #

fromEnum :: Const k a b -> Int #

enumFrom :: Const k a b -> [Const k a b] #

enumFromThen :: Const k a b -> Const k a b -> [Const k a b] #

enumFromTo :: Const k a b -> Const k a b -> [Const k a b] #

enumFromThenTo :: Const k a b -> Const k a b -> Const k a b -> [Const k a b] #

Eq a => Eq (Const k a b) 

Methods

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

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

Floating a => Floating (Const k a b) 

Methods

pi :: Const k a b #

exp :: Const k a b -> Const k a b #

log :: Const k a b -> Const k a b #

sqrt :: Const k a b -> Const k a b #

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

logBase :: Const k a b -> Const k a b -> Const k a b #

sin :: Const k a b -> Const k a b #

cos :: Const k a b -> Const k a b #

tan :: Const k a b -> Const k a b #

asin :: Const k a b -> Const k a b #

acos :: Const k a b -> Const k a b #

atan :: Const k a b -> Const k a b #

sinh :: Const k a b -> Const k a b #

cosh :: Const k a b -> Const k a b #

tanh :: Const k a b -> Const k a b #

asinh :: Const k a b -> Const k a b #

acosh :: Const k a b -> Const k a b #

atanh :: Const k a b -> Const k a b #

log1p :: Const k a b -> Const k a b #

expm1 :: Const k a b -> Const k a b #

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

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

Fractional a => Fractional (Const k a b) 

Methods

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

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

fromRational :: Rational -> Const k a b #

Integral a => Integral (Const k a b) 

Methods

quot :: Const k a b -> Const k a b -> Const k a b #

rem :: Const k a b -> Const k a b -> Const k a b #

div :: Const k a b -> Const k a b -> Const k a b #

mod :: Const k a b -> Const k a b -> Const k a b #

quotRem :: Const k a b -> Const k a b -> (Const k a b, Const k a b) #

divMod :: Const k a b -> Const k a b -> (Const k a b, Const k a b) #

toInteger :: Const k a b -> Integer #

Num a => Num (Const k a b) 

Methods

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

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

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

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

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

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

fromInteger :: Integer -> Const k a b #

Ord a => Ord (Const k a b) 

Methods

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

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

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

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

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

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

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

Read a => Read (Const k a b)

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

Methods

readsPrec :: Int -> ReadS (Const k a b) #

readList :: ReadS [Const k a b] #

readPrec :: ReadPrec (Const k a b) #

readListPrec :: ReadPrec [Const k a b] #

Real a => Real (Const k a b) 

Methods

toRational :: Const k a b -> Rational #

RealFloat a => RealFloat (Const k a b) 

Methods

floatRadix :: Const k a b -> Integer #

floatDigits :: Const k a b -> Int #

floatRange :: Const k a b -> (Int, Int) #

decodeFloat :: Const k a b -> (Integer, Int) #

encodeFloat :: Integer -> Int -> Const k a b #

exponent :: Const k a b -> Int #

significand :: Const k a b -> Const k a b #

scaleFloat :: Int -> Const k a b -> Const k a b #

isNaN :: Const k a b -> Bool #

isInfinite :: Const k a b -> Bool #

isDenormalized :: Const k a b -> Bool #

isNegativeZero :: Const k a b -> Bool #

isIEEE :: Const k a b -> Bool #

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

RealFrac a => RealFrac (Const k a b) 

Methods

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

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

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

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

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

Show a => Show (Const k a b)

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

Methods

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

show :: Const k a b -> String #

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

Ix a => Ix (Const k a b) 

Methods

range :: (Const k a b, Const k a b) -> [Const k a b] #

index :: (Const k a b, Const k a b) -> Const k a b -> Int #

unsafeIndex :: (Const k a b, Const k a b) -> Const k a b -> Int

inRange :: (Const k a b, Const k a b) -> Const k a b -> Bool #

rangeSize :: (Const k a b, Const k a b) -> Int #

unsafeRangeSize :: (Const k a b, Const k a b) -> Int

IsString a => IsString (Const * a b) 

Methods

fromString :: String -> Const * a b #

Generic (Const k a b) 

Associated Types

type Rep (Const k a b) :: * -> * #

Methods

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

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

Semigroup a => Semigroup (Const k a b) 

Methods

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

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

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

Monoid a => Monoid (Const k a b) 

Methods

mempty :: Const k a b #

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

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

Storable a => Storable (Const k a b) 

Methods

sizeOf :: Const k a b -> Int #

alignment :: Const k a b -> Int #

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

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

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

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

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

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

Bits a => Bits (Const k a b) 

Methods

(.&.) :: Const k a b -> Const k a b -> Const k a b #

(.|.) :: Const k a b -> Const k a b -> Const k a b #

xor :: Const k a b -> Const k a b -> Const k a b #

complement :: Const k a b -> Const k a b #

shift :: Const k a b -> Int -> Const k a b #

rotate :: Const k a b -> Int -> Const k a b #

zeroBits :: Const k a b #

bit :: Int -> Const k a b #

setBit :: Const k a b -> Int -> Const k a b #

clearBit :: Const k a b -> Int -> Const k a b #

complementBit :: Const k a b -> Int -> Const k a b #

testBit :: Const k a b -> Int -> Bool #

bitSizeMaybe :: Const k a b -> Maybe Int #

bitSize :: Const k a b -> Int #

isSigned :: Const k a b -> Bool #

shiftL :: Const k a b -> Int -> Const k a b #

unsafeShiftL :: Const k a b -> Int -> Const k a b #

shiftR :: Const k a b -> Int -> Const k a b #

unsafeShiftR :: Const k a b -> Int -> Const k a b #

rotateL :: Const k a b -> Int -> Const k a b #

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

popCount :: Const k a b -> Int #

FiniteBits a => FiniteBits (Const k a b) 

Methods

finiteBitSize :: Const k a b -> Int #

countLeadingZeros :: Const k a b -> Int #

countTrailingZeros :: Const k a b -> Int #

type Rep1 (Const * a) 
type Rep1 (Const * a) = D1 (MetaData "Const" "Data.Functor.Const" "base" True) (C1 (MetaCons "Const" PrefixI True) (S1 (MetaSel (Just Symbol "getConst") NoSourceUnpackedness NoSourceStrictness DecidedLazy) (Rec0 a)))
type Rep (Const k a b) 
type Rep (Const k a b) = D1 (MetaData "Const" "Data.Functor.Const" "base" True) (C1 (MetaCons "Const" PrefixI True) (S1 (MetaSel (Just Symbol "getConst") NoSourceUnpackedness NoSourceStrictness DecidedLazy) (Rec0 a)))

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

Constructors

WrapArrow 

Fields

Instances

Arrow a => Functor (WrappedArrow a b) 

Methods

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

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

Arrow a => Applicative (WrappedArrow a b) 

Methods

pure :: a -> WrappedArrow a b a #

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

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

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

Generic1 (WrappedArrow a b) 

Associated Types

type Rep1 (WrappedArrow a b :: * -> *) :: * -> * #

Methods

from1 :: WrappedArrow a b a -> Rep1 (WrappedArrow a b) a #

to1 :: Rep1 (WrappedArrow a b) a -> WrappedArrow a b a #

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

Methods

empty :: WrappedArrow a b a #

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

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

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

Generic (WrappedArrow a b c) 

Associated Types

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

Methods

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

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

type Rep1 (WrappedArrow a b) 
type Rep1 (WrappedArrow a b) = D1 (MetaData "WrappedArrow" "Control.Applicative" "base" True) (C1 (MetaCons "WrapArrow" PrefixI True) (S1 (MetaSel (Just Symbol "unwrapArrow") NoSourceUnpackedness NoSourceStrictness DecidedLazy) (Rec1 (a b))))
type Rep (WrappedArrow a b c) 
type Rep (WrappedArrow a b c) = D1 (MetaData "WrappedArrow" "Control.Applicative" "base" True) (C1 (MetaCons "WrapArrow" PrefixI True) (S1 (MetaSel (Just Symbol "unwrapArrow") NoSourceUnpackedness NoSourceStrictness DecidedLazy) (Rec0 (a b c))))

newtype ZipList a :: * -> * #

Lists, but with an Applicative functor based on zipping, so that

f <$> ZipList xs1 <*> ... <*> ZipList xsn = ZipList (zipWithn f xs1 ... xsn)

Constructors

ZipList 

Fields

Instances

Functor ZipList 

Methods

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

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

Applicative ZipList 

Methods

pure :: a -> ZipList a #

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

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

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

Foldable ZipList 

Methods

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

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

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

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

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

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

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

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

toList :: ZipList a -> [a] #

null :: ZipList a -> Bool #

length :: ZipList a -> Int #

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

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

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

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

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

Traversable ZipList 

Methods

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

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

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

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

Generic1 ZipList 

Associated Types

type Rep1 (ZipList :: * -> *) :: * -> * #

Methods

from1 :: ZipList a -> Rep1 ZipList a #

to1 :: Rep1 ZipList a -> ZipList a #

Eq a => Eq (ZipList a) 

Methods

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

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

Ord a => Ord (ZipList a) 

Methods

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

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

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

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

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

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

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

Read a => Read (ZipList a) 
Show a => Show (ZipList a) 

Methods

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

show :: ZipList a -> String #

showList :: [ZipList a] -> ShowS #

Generic (ZipList a) 

Associated Types

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

Methods

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

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

type Rep1 ZipList 
type Rep1 ZipList = D1 (MetaData "ZipList" "Control.Applicative" "base" True) (C1 (MetaCons "ZipList" PrefixI True) (S1 (MetaSel (Just Symbol "getZipList") NoSourceUnpackedness NoSourceStrictness DecidedLazy) (Rec1 [])))
type Rep (ZipList a) 
type Rep (ZipList a) = D1 (MetaData "ZipList" "Control.Applicative" "base" True) (C1 (MetaCons "ZipList" PrefixI True) (S1 (MetaSel (Just Symbol "getZipList") NoSourceUnpackedness NoSourceStrictness DecidedLazy) (Rec0 [a])))

Utility functions

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

Lift a binary function to actions.

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

A variant of <*> with the arguments reversed.

forever :: Applicative f => f a -> f b #

forever act repeats the action infinitely.

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

Conditional execution of Applicative expressions. For example,

when debug (putStrLn "Debugging")

will output the string Debugging if the Boolean value debug is True, and otherwise do nothing.

unless :: Applicative f => Bool -> f () -> f () #

The reverse of when.

replicateA :: Applicative f => Int -> f a -> f [a] Source #

replicateA n act performs the action n times, gathering the results.

replicateA_ :: Applicative f => Int -> f a -> f () Source #

Like replicateA, but discards the result.

filterA :: Applicative f => (a -> f Bool) -> [a] -> f [a] Source #

This generalizes the list-based filter function.