[sdiy] Raspberry Pi 2 Synthesizer Project
Richie Burnett
rburnett at richieburnett.co.uk
Sun Feb 7 18:02:32 CET 2016
Scott Gravenhorst wrote:
> This particular synth uses the sin() function with uses double float
> arithmetic.
Yikes! I'm sure you could get it to run more efficiently using virtually
any other approximation to a sine than the double-precision floating-point
maths-library function! That bodes well for having enough resources to add
more sophisticated features in future though.
Don't forget that you can easily get sin(2a) once you've calculated sin(a)
just by squaring it and removing the DC offset. That's got to be more
efficient than calling another functional call to sin(). You can get the
other harmonics using other Chebyshev polynomials of the first kind:
https://en.wikipedia.org/wiki/Chebyshev_polynomials#First_kind
It can see that it would be nice if you could use the DSP instructions
inside the ARM, if only to benefit from things like pre-fetching and
saturation arithmetic, but I've also heard that keeping track of the deep
pipeline dependencies is almost unfathomable manually!
-Richie,
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