(a -> b) -> [a] -> [b] -deepseq

map :: (a -> b) -> [a] -> [b]
base Prelude, base Data.List
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, ...]
parMap :: Strategy b -> (a -> b) -> [a] -> [b]
parallel Control.Parallel.Strategies
A combination of parList and map, encapsulating a common pattern: > parMap strat f = withStrategy (parList strat) . map f
liftA :: Applicative f => (a -> b) -> f a -> f b
base Control.Applicative
Lift a function to actions. This function may be used as a value for fmap in a Functor instance.
fmapDefault :: Traversable t => (a -> b) -> t a -> t b
base Data.Traversable
This function may be used as a value for fmap in a Functor instance.
fmap :: Functor f => (a -> b) -> f a -> f b
base Prelude, base Data.Functor, base Control.Monad, base Control.Monad.Instances
(<$>) :: Functor f => (a -> b) -> f a -> f b
base Data.Functor, base Control.Applicative
An infix synonym for fmap.
liftM :: Monad m => (a1 -> r) -> m a1 -> m r
base Control.Monad
Promote a function to a monad.
(<*>) :: Applicative f => f (a -> b) -> f a -> f b
base Control.Applicative
(<**>) :: Applicative f => f a -> f (a -> b) -> f b
base Control.Applicative
A variant of <*> with the arguments reversed.
iterate :: (a -> a) -> a -> [a]
base Prelude, base Data.List
iterate f x returns an infinite list of repeated applications of f to x: > iterate f x == [x, f x, f (f x), ...]
dropWhile :: (a -> Bool) -> [a] -> [a]
base Prelude, base Data.List
dropWhile p xs returns the suffix remaining after takeWhile p xs: > dropWhile (< 3) [1,2,3,4,5,1,2,3] == [3,4,5,1,2,3] > dropWhile (< 9) [1,2,3] == [] > dropWhile (< 0) [1,2,3] == [1,2,3]
filter :: (a -> Bool) -> [a] -> [a]
base Prelude, base Data.List
filter, applied to a predicate and a list, returns the list of those elements that satisfy the predicate; i.e., > filter p xs = [ x | x <- xs, p x]
takeWhile :: (a -> Bool) -> [a] -> [a]
base Prelude, base Data.List
takeWhile, applied to a predicate p and a list xs, returns the longest prefix (possibly empty) of xs of elements that satisfy p: > takeWhile (< 3) [1,2,3,4,1,2,3,4] == [1,2] > takeWhile (< 9) [1,2,3] == [1,2,3] > takeWhile (< 0) [1,2,3] == []
($) :: (a -> b) -> a -> b
base Prelude, base Data.Function
Application operator. This operator is redundant, since ordinary application (f x) means the same as (f $ x). However, $ has low, right-associative binding precedence, so it sometimes allows parentheses to be omitted; for example: > f $ g $ h x = f (g (h x)) It is also useful in higher-order situations, such as map ($ 0) xs, or Data.List.zipWith ($) fs xs.
($!) :: (a -> b) -> a -> b
base Prelude
Strict (call-by-value) application, defined in terms of seq.
all :: (a -> Bool) -> [a] -> Bool
base Prelude, base Data.List
Applied to a predicate and a list, all determines if all elements of the list satisfy the predicate. For the result to be True, the list must be finite; False, however, results from a False value for the predicate applied to an element at a finite index of a finite or infinite list.
any :: (a -> Bool) -> [a] -> Bool
base Prelude, base Data.List
Applied to a predicate and a list, any determines if any element of the list satisfies the predicate. For the result to be False, the list must be finite; True, however, results from a True value for the predicate applied to an element at a finite index of a finite or infinite list.
ap :: Monad m => m (a -> b) -> m a -> m b
base Control.Monad
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
sortWith :: Ord b => (a -> b) -> [a] -> [a]
base GHC.Exts
The sortWith function sorts a list of elements using the user supplied function to project something out of each element
foldMapDefault :: (Traversable t, Monoid m) => (a -> m) -> t a -> m
base Data.Traversable
This function may be used as a value for Data.Foldable.foldMap in a Foldable instance.

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