Re: gcc/gsl

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On Wed, Nov 13, 2024 at 4:25 PM Patrick Dupre <pdupre@xxxxxxx> wrote:
>
> >
> > How different are the values?      How many significant figures match?  0? 5?
> relatve difference: 2.7e-8
> "noise" ~ 1e-35
> values < 2e-23
>

What significant figure is it of the result?   Heavy calculations are
sensitive to the precision of the underlying cpu calculations and one
cpu may pick a different underlying precision to use internally.   Ie
if one machine takes say 3 clock cycles to do a single or a double
then you might as well use a double internally and if the other
machine takes say 3 for a single and 6 for a double then on that
machine the compiler optimization will choose the single (to be
faster) and both may produce a different answer.

And likely NEITHER answer is mathematically exact and/or could even be
correct especially if the calculation is done in the wrong order that
causes significant sensitivities to underlying precision used by the
computer and/or cpu.
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