[Date Prev][Date Next][Thread Prev][Thread Next][Date Index][Thread Index]

This page is part of the web mail archives of SRFI 77 from before July 7th, 2015. The new archives for SRFI 77 contain all messages, not just those from before July 7th, 2015.

*To*: bear <bear@xxxxxxxxx>*Subject*: Re: Multiple precisions of floating-point arithmetic*From*: Bradley Lucier <lucier@xxxxxxxxxxxxxxx>*Date*: Sun, 26 Feb 2006 14:16:00 -0600*Cc*: Bradley Lucier <lucier@xxxxxxxxxxxxxxx>, srfi-77@xxxxxxxxxxxxxxxxx*Delivered-to*: srfi-77@xxxxxxxxxxxxxxxxx*In-reply-to*: <Pine.LNX.4.58.0602261158440.12907@xxxxxxxxxxxxxx>*References*: <AD3705D9-F0AA-4C2D-BDCA-0446ACDF570B@xxxxxxxxxxxxxxx> <Pine.LNX.4.58.0602261158440.12907@xxxxxxxxxxxxxx>

On Feb 26, 2006, at 2:00 PM, bear wrote:

On Sun, 26 Feb 2006, Bradley Lucier wrote:Then Colin Percival published his paper "Rapid multiplication modulo the sum and difference of highly composite numbers", www.ams.org/mcom/2003-72-241/S0025-5718-02-01419-9/ S0025-5718-02-01419-9.pdf which gives new bounds for the error in FFTs implemented in floating- point arithmetic. This allows you to use FFTs to implement bignum arithmetic with inputs of size 256 * (1024)^2 bits in 64-bit IEEE arithmetic with proven accuracy.This is a very interesting potential implementation technique. Is there a URL for this article that someone who is not a member of the American Mathematical Society can access? Or a publication we can find at a local print library? Bear

http://www.daemonology.net/papers/ The citation is

Brad

**References**:**Multiple precisions of floating-point arithmetic***From:*Bradley Lucier

**Re: Multiple precisions of floating-point arithmetic***From:*bear

- Prev by Date:
**Re: Multiple precisions of floating-point arithmetic** - Next by Date:
**Re: Integer residue-classes** - Previous by thread:
**Re: Multiple precisions of floating-point arithmetic** - Next by thread:
**implementations that can't represent infinities or NaNs** - Index(es):