Talk:Tying the Knot
There's a conceptually much simpler way build a circular structure, though it has a substantial performance overhead (n^2) the first time you run through the nodes:
mkDLList list = head result where (result, n) = (zipWith mknode list [0..], length list) mknode x i = DLList (result !! ((i - 1) `mod` n) ) x (result !! (i + 1 `mod` n) )
Since we already have the result - the list of all the relevant nodes - we just simply point to the items at the right points on the list. When we do it this way, it's obvious what is going on from just a basic understanding of laziness, then we see a huge waste of operations in the repeat list traversing, and look for some way to make it O(n). The trick, of course, being tying the knot.
With a slight tweak, this also serves as a simple method for defining arbitrary graphs, which is best given a different sort of optimization.
WarDaft 17:25, 11 April 2012 (UTC)