Xref: utzoo sci.crypt:1573 comp.sources.wanted:6268 sci.math.symbolic:579 Path: utzoo!utgpu!jarvis.csri.toronto.edu!mailrus!csd4.milw.wisc.edu!bionet!ig!arizona!mike From: mike@arizona.edu (Mike Coffin) Newsgroups: sci.crypt,comp.sources.wanted,sci.math.symbolic Subject: Re: Arbitrary precision integer arithmetic (reference sought) Message-ID: <9079@megaron.arizona.edu> Date: 7 Feb 89 19:24:36 GMT References: <1122@l.cc.purdue.edu> Organization: U of Arizona CS Dept, Tucson Lines: 15 From article <1122@l.cc.purdue.edu>, by cik@l.cc.purdue.edu (Herman Rubin): > Unless you have really long numbers, you are not likely to gain too much > from the fancy algorithms. I also do not believe that Knuth has the > asymptotically fastest known algorithms using the discrete FFT over > finite rings. This is true. I once implemented arbitrary precision mulitplication using FFTs. I took reasonable care with the code, although I didn't do it in assembly language. When compared with the school-boy technique, it didn't break even until the factors were on the order of tens of thousands of bits. -- Mike Coffin mike@arizona.edu Univ. of Ariz. Dept. of Comp. Sci. {allegra,cmcl2}!arizona!mike Tucson, AZ 85721 (602)621-2858