Returning strictly to the issue of trig performance. A solution I
have used in the past is to initialize tables of trig functions,
say by calling sin() and cos() for every half a degree, and then
interpolating those tables, never calling sin() or cos() again.
I did this 29 years ago on an Atari 520ST to simulate the solar
system, and it worked well. You only need enough trig accuracy
for graphics to plot to the correct pixels. It takes very few
decimal places to get that accuracy.

Tom Wetmore
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