Unfortunately I am not strong in math and programming, too. With difficulty turned out to make the Gnarl3D according to the DarkBeam's formula
So, I tried to make orbittrap like MandelbrotOrbitTrap.frag. The code is horrible, I will try do do best.
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Looking good regardless.
Trig functions are particularly nasty, and any arbitrary precision implementation will be slow as balls because calculating irrational functions to arbitrary precision levels is itself an iterative function. Every arbitrary calculation of said function will require multiple passes per calculation to generate an accurate result. Repeated every iteration, plodding on beyond the limits of float point maths would be extremely time consuming.
Still, a generalized fast floats implementation would have some interesting features to explore nonetheless. There is an entry for Collatz in the Ultrafractal public database if anybody owns a license and is still using it. Arbitrary precision libraries are snail slow in UF but at least it's something.
October 08, 2010, 10:31:20 AM
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