At 09:21 AM 6/17/99 -0700, jrp wrote:
>[...]multiplying 2 128 bit integers  X * Y where Xh and Xl are the high
>and low half of the X argument takes 4 multiples plus a few adds.

It can be done in fewer than 4 muliplies.  See Karatsuba's Method in
Knuth's TAOCP, Vol 2, Section 4.3.3, "How Fast Can We Multiply?"

Not as sexy as it used to be because multiplication is sooo fast
now-a-days.  But it still might come in handy.

BTW, has anybody investigated this package:

    http://clisp.cons.org/~haible/packages-cln-README.html

--Luke

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