[libre-riscv-dev] [Bug 208] implement CORDIC in a general way sufficient to do transcendentals

[bugzilla-daemon at libre-soc.org]

https://bugs.libre-soc.org/show_bug.cgi?id=208

Cole Poirier <colepoirier at gmail.com> changed:

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--- Comment #12 from Cole Poirier <colepoirier at gmail.com> ---
(In reply to Michael Nolan from comment #11)
> (In reply to Luke Kenneth Casson Leighton from comment #7)
> > unfortunately, as we will (later) be using the CORDIC block for other
> > purposes,
> > not just SIN/COS but as an actual opcode, if it doesn't do "actual CORDIC"
> > we're stuffed, there.
> 
> Ah I see. So at some point we'll be wanting to use this for general
> rotations, hyperbolic sin/cos, and such? 
> 
> > 
> > i suspect that it might be possible, as the size of the ATAN2 constants
> > gets smaller, to "shift" the result up slightly.
> > 
> > this we can do - test out - right now long before trying to move to FP.
> > each CordicStage can take an extra argument which specifies that dx, dy and
> > dz should be shifted by N extra bits.
> 
> I think I sort of understand - you want to scale up dx, dy (and presumably x
> and y) when they're small so that they have more bits of precision. 
> 
> One thing that occurred to me - since power (and I assume riscv) don't
> include any sin/cos opcodes but instead use a function in libc to calculate
> them, the cordic would only be used by the GPU, right? If that's the case,
> do sin/cos necessarily need to be as accurate as the result from libc?

Michael, here are some possibly relevant links to FPU accuracy... or rather
inaccuracy. I've also added them to the resources page under "5.4 Past FPU
Mistakes to learn from".

Intel Underestimates Error Bounds by 1.3 quintillion
Posted on October 9, 2014 to Random ASCII – tech blog of Bruce Dawson 

https://randomascii.wordpress.com/2014/10/09/intel-underestimates-error-bounds-by-1-3-quintillion/

Intel overstates FPU accuracy 06/01/2013

http://notabs.org/fpuaccuracy/


Cole

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