On Sunday, February 27, 2011 8:59:25 PM UTC, sm123123 wrote:
>
> I have numerical calculations that need to adhere to significant 
> digits of the input.


Sage has at least three different "real" numbers, see

http://www.sagemath.org/doc/reference/rings_numerical.html

Each implementation is a different tradeoff between accuracy and speed. If 
you want to be assured that each digit is correct then you probably want to 
use the real interval field (RIF).


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