Chebyshev is indeed a decent way to approximate trig from what I've read. ( http://www.embeddedrelated.com/showarticle/152.php)
Did you know that rational quadratic Bezier curves can exactly represent conic sections, and thus give you exact trig values? You essentially divide one quadratic Bezier curve by another, with specifically calculated weights. Fairly simple and straightforward stuff. Not sure if the division is a problem for you mapping it to circuitry. http://demofox.org/bezquadrational.html Video cards use a handful of terms of taylor series, so that might be a decent approach as well since it's used in high end production circuitry. On Tue, Jan 19, 2016 at 10:05 AM, Theo Verelst <theo...@theover.org> wrote: > Hi all, > > Maybe a bit forward, but hey, there are PhDs here, too, so here it goes: > I've played a little with the latest Vivado HLx design tools fro Xilinx > FPGAs and the cheap Zynq implementation I use (a Parallella board), and I > was looking for interesting examples to put in C-to_chip compiler that I > can connected over AXI bus to a Linux program running on the ARM cores in > the Zynq chip. > > In other words, computations and manipulations with additions, multiplies > and other logical operations (say of 32 bits) that compile nicely to for > instance the computation of y=sin(t) in such a form that the Silicon > Compiler can have a go at it, and produce a nice relative low-latency FPGA > block to connect up with other blocks to do nice (and very low latency) DSP > with. > > Regards, > > Theo V. > _______________________________________________ > dupswapdrop: music-dsp mailing list > music-dsp@music.columbia.edu > https://lists.columbia.edu/mailman/listinfo/music-dsp > >
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