[Haskell-cafe] Data.IntMap union complexity

Clark Gaebel cgaebel at csclub.uwaterloo.ca
Fri Feb 24 03:16:55 CET 2012

Looking at IntMap's left-biased 'union' function [1], I noticed that the
complexity is O(n+m) where n is the size of the left map, and m is the size
of the right map.

Since insertion [2] is O(min(n, W)) [ where W is the number of bits in an
Int ], wouldn't it be more efficient to just fold 'insert' over one of the
lists for a complexity of O(m*min(n, W))? This would degrade into O(m) in
the worst case, as opposed to the current O(n+m).

Or am I just crazy?

  - clark

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