On 1/8/2010 1:29 PM, Magnus Torfason wrote:
Paul Evans wrote:
How can I get R to change the default precision value? For example:
x=0.99999999999999999
1-x
[1] 0

Is there a way that I can get a non-zero value using some parameter,
or some package?
many thanks.

The 'gmp' package allows calculation with arbitrary precision rationals
(and every finite-digit decimal is a rational).

See a recent post of mine, listing some gmp examples:
http://tolstoy.newcastle.edu.au/R/e9/help/10/01/0579.html

And some more looking uncovered the 'Rmpfr' package, which allows arbitrary precision floating point calculations. Example:

> x = mpfr("0.99999999999999999", precBits=100)
> x
1 'mpfr' number of precision  100   bits
[1] 0.99999999999999998999999999999944
> 1-x
1 'mpfr' number of precision  100   bits
[1] 1.0000000000000556923992179579934e-17

It does not store decimals exactly (as a rational would), because the exponent is base 2 rather than base 10. However, it has parsing and as.string functions that return decimal-formatted strings (whereas the bigq class in gmp would require such functions to be written manually). I guess for people who are looking for arbitrary precision decimal fractions the the choice of these packages becomes a choice of style or specific application needs.

Best,
Magnus

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