On Mon, Mar 17, 2014 at 5:12 PM, Jason Moore <[email protected]> wrote:
> I have the basic understanding of floating point arthmetic and I've read
> that essay at some point in my career.
>
> As to whether we output garbage with these methods, we typically look to
> well defined benchmark problems. For example, the bicycle problem that runs
> as a test in the sympy test suite checks the accuracy of the evaluation to
> something like 14 decimal places against an independently derived system
> from a number of other methods. That problem, in our sympy case, has tons of
> minus's in the symbolic code but it gives the same answer as 10+ other
> different implementations. Now if we didn't get the same answer, then we'd
> need to be looking into things like floating point arithmetic.
>
> So, if we ever have a problem that gives dubious results, then we will
> surely look into floating point arithmetic as a potential cause. But so far,
> all of the problems we've tried to solve with this don't give garbage, or at
> least don't give errors with respect to other's implementations.

Very cool, that's great news.

Ondrej

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