Re: Some question regarding FP-math

> -----Original Message-----
> From: avr-libc-dev-bounces+eric.weddington=atmel.com@... [mailto:avr-
> libc-dev-bounces+eric.weddington=atmel.com@...] On Behalf Of Dr.
> Alexander Klein
> Sent: Monday, June 18, 2012 1:53 AM
> To: avr-libc-dev@...
> Subject: [avr-libc-dev] Some question regarding FP-math
>
> Hello,
>
> I just got myself an Arduino-board to evaluate some algorithms in a more real-
> world like environment than I get with the "slowest Atom-Netbook around"
> approach. I usually prototype the algorithms in GNU-Octave, so I wondered what
> errors I'd have to expect compared to IEEE double precision math.
>
> So, just for the fun of it, I started browsing the source of the FP-
> implementation and a few things occured to me:
>
> 1. Most if not all transcendental functions are implemented as power series
> approximations, but no hints are given as to their properties of
> approximation. Are the polynomials or maybe their derivatives optimal in any
> L_p-sense? Can a description be found anywhere?
>
> 2. All we have for the time being is single precision float. Are the functions
> for power series evaluation optimised so as to minimise summation error?
>
> 3. In an old post (http://lists.nongnu.org/archive/html/avr-libc-dev/2006-
> 04/msg00068.html) someone benchmarked basic arithmetic operations, but only
> for one platform. How do other platforms perform? Especially, would it be
> worthwhile to try to speed up multiplication?
>
> I hope this is the right place to ask these questions anyway ...
>
> Kind regards,
>
> Alex
>
> --
> Dr. Alexander Klein, Diplom-Mathematiker
> Physiologisches Institut der JLU-Gießen
> Aulweg 129
> 35392 Gießen
>
> http://www.med.uni-giessen.de/physio/
>
>
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