[EMAIL PROTECTED] wrote:

Hi all,

I'm trying to implement a function that returns the shorter one of two given lists,
something like
shorter :: [a] -> [a] -> [a]
such that shorter [1..10] [1..5] returns [1..5],
and it's okay for shorter [1..5] [2..6] to return either.

Simple, right?

However, it becomes difficult when dealing with infinite lists, for example,
shorter [1..5] (shorter [2..] [3..])
Could this evaluate to [1..5]? I haven't found a proper implementation.

The trick is to make the function result lazy enough. When you take an element from both lists, you already know that the result will have the form (_:_), you just don't know what the head will be. One way to keep the head unevaluated is to return which of the lists is actually sorter:

> shorter xs ys = snd (shorter' xs ys)
>  where     -- shorter' xs ys =
>            --   (length xs < length ys, shorter xs ys)
>    shorter' [] [] = error "same length"
>    shorter' xs [] = (False, [])
>    shorter' [] ys = (True,  [])
>    shorter' (x:xs) (y:ys) = (xsShorter, z:zs)
>            where   z      = if xsShorter then x else y
>                    (xsShorter, zs) = shorter' xs ys

This works as expected:

*Main> shorter [1..5] (shorter [2..] [3..])
[1,2,3,4,5]

Twan
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