Keyvalue apply
I just wrote this function:
apply :: (Ord k) => k > v > (v > v) > [(k,v)] > [(k,v)]
apply k v f ds =
let (p1,px) = span ( (k >) . fst) ds
(p2,p3) = case px of
[] > ((k,v),[])
(x:xs) > if fst x == k
then ((k, f $ snd x), xs)
else ((k, v), x:xs)
in p1 ++ (p2 : p3)
As you can see (?!), this takes a list of key/value pairs and processes it as follows:
 The function is given a key to look for.
 If the key is found, a function is applied to the associated value.
 If the key is not found, it is inserted (at the correct place) with a specified 'default value'.
Notice that if you start with a completely empty list, you can call apply
several times and you will end up with a sorted list. (Note that apply
uses the fact that the list is sorted to cut the search short in the 'I can't find it' case  hence the Ord
context.)
Does a function like this already exist somewhere? (Hoogle seems to indicate not.) Is this a special case of something more general? Is there a better implementation? (The code isn't very readable at it is.) Can you think of a better name than just 'apply
'? Have you ever had call to use such a function yourself?
Data.Map
When you are making excessive use of (key,value) pairs it is usually time to switch to Data.Map
. Your apply
function is almost the same as Data.Map.insertWith
, only that function has the type:
insertWith :: Ord k => (a > a > a) > k > a > Map k a > Map k a
Here the update function receives the new value as well. Twanvl

Thanks for the tip! A whole new module for me to learn. My oh my... I do love the way Haskell type signatures almost tell you what the whole function does!
MathematicalOrchid 19:27, 15 February 2007 (UTC)
Outer Context
This function actually occurred in the definition of a larger utility. It has the type
decode :: (Eq k) => [([k],[v])] > [k] > [v]
This takes a large input, searches the lookup table for the longest possible matching key, and returns the corresponding value. It then processes the rest of the input the same way.
The apply
function above occurs because the case actually transforms the [([k],[v])]
into a tree to facilitate faster searching. (I gather that Data.Map
does the exact same thing  but it's already implemented for you!)
Is a function like decode
already out there somewhere?