What do you do when you feel you need a variatic list comprehension?

Posted by cspyr0 on Stack Overflow See other posts from Stack Overflow or by cspyr0
Published on 2010-04-11T06:54:11Z Indexed on 2010/04/11 7:03 UTC
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haskell

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list-comprehension

I would like to make a method where I could give it a list of lengths and it would return all combinations of cartesian coordinates up to those lengths. Easier to explain with an example:

cart [2,5]
Prelude> [ [0,0],[0,1],[0,2],[0,3],[0,4],[1,0],[1,1],[1,2],[1,3],[1,4] ]

cart [2,2,2]
Prelude> [ [0,0,0],[0,0,1],[0,1,0],[0,1,1],[1,0,0],[1,0,1],[1,1,0],[1,1,1] ]

A simple list comprehension won't work because I don't know how long the lists are going to be. While I love Haskell's simplicity for many problems, this is one that I could write procedurally (in C or something) in 5 minutes whereas Haskell gives me an aneurysm!

A solution to this specific problem would help me out a lot; I'd also love to hear about your thought processes when tackling stuff like this.

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