id,summary,reporter,owner,description,type,status,priority,milestone,component,version,resolution,keywords,cc,os,architecture,failure,difficulty,testcase,blockedby,blocking,related
5679,Provide Arrow lift functions for Control.Arrow,A1kmm,,"It is currently difficult to build complex datastructures by combining arrows, because there are no lift functions defined on Arrow. These can be built easily from the class functions:

{{{
liftArrow :: Arrow a => (c -> d) -> a b c -> a b d
liftArrow = (^>>)
liftArrow2 :: Arrow a => (c -> c' -> d) -> a b c -> a b c' -> a b d
liftArrow2 f a1 a2 = arr (\a -> (a, a)) >>> (a1 *** a2) >>> arr (\(a, b) -> f a b)
liftArrow3 :: Arrow a => (c -> c' -> c'' -> d) -> a b c -> a b c' -> a b c'' -> a b d
liftArrow3 f a1 a2 a3 = arr (\a -> (a, (a, a))) >>> (a1 *** a2 *** a3) >>> arr (\(a, (b, c)) -> f a b c)
liftArrow4 :: Arrow a => (c -> c' -> c'' -> c''' -> d) -> a b c -> a b c' -> a b c'' -> a b c''' -> a b d
liftArrow4 f a1 a2 a3 a4 = arr (\a -> (a, (a, (a, a)))) >>> (a1 *** a2 *** a3 *** a4) >>> arr (\(a, (b, (c, d))) -> f a b c d)
liftArrow5 :: Arrow a => (c -> c' -> c'' -> c''' -> c'''' -> d) -> a b c -> a b c' -> a b c'' -> a b c''' -> a b d
liftArrow5 f a1 a2 a3 a4 a5 = arr (\a -> (a, (a, (a, (a, a))))) >>> (a1 *** a2 *** a3 *** a4 *** a5) >>> arr (\(a, (b, (c, (d, e)))) -> f a b c d e)
}}}

I suggest these be added to Control.Arrow.

elliott suggested (on #haskell on Freenode) that something like arr2 = arr . uncurry could be defined as a building block, from which the lift functions could be defined.",feature request,closed,normal,7.6.1,libraries/base,7.2.1,wontfix,,,Unknown/Multiple,Unknown/Multiple,None/Unknown,Unknown,,,,