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> Here's the kind of thing I was thinking of. This is just off the top > of my head, so there are probably much better ways of doing these > things that maybe a numerical analyst on this list could suggest, but > here's a start: Yeesh. The algorithm I posted runs in a constant number of bignum ops, and lets you specify an exact lower bound on the number of bits of precision you get. What I could really use is a good bignum sqrt algorithm.