On 1/11/2010 10:37 AM, Martin Maechler wrote:
Magnus Torfason<zulutime....@gmail.com wrote:
 Of course there is still the problem that:
 >  1+1 == sqrt(2)*sqrt(2)
 [1] FALSE
 and gmp will not solve this . I don't know if there is an R-package for
 arbitrary-precision reals floating around, but probably not.

Yes, there's package  'Rmpfr' for arbitrary precision
floating-point, written and maintained by me.

However, that does *still* not allow the equivalent
of
     1+1 == sqrt(2)*sqrt(2)

because that would need *infinite* precision not just arbitrary
precision, or then *symbolic* computation, as I assume the following does

Very true! I got my jargon mixed up. I was in fact referring to symbolic computation when i wrote that. In the meantime I had found the Rmpfr package, which installed from CRAN without a hitch on my Windows Vista computer. Nevertheless, I look forward to receiving the latest update once it propagates through CRAN.

I think the gmp and Rmpfr packages need more airtime in R circles, since issues of precision come up all the time and they provide a very straight-forward way of addressing the issue. Perhaps they should be added to FAQ 7.31?

Best,
Magnus

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