Maciej Radziejewski on Mon, 11 Aug 2003 17:36:54 +0200

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Real numbers accuracy.


I tried the following evaluations:

\\ 0.E-9
\\ 0.E-19

The claimed accuracy keeps getting higher through arithmetic operations.
The effect is the same under the experimental and stable Pari.
Is it meant to work like that, or is it a bug?

If it is supposed to be like that, is there a Pari feature, or extension,
where one could get a rigorous accuracy estimate? Such a feature would be
very useful for theorem proving using analytic methods.
If I wanted to define arithmetic operations on pairs (z, r), where z is a
complex made of reals and r is the upper estimated absolute value of an
error, does it require tampering with Pari's source code?



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