abram wrote:
> The patch:
> http://softwareprocess.es/x/x/mandelbulb/fnintern.cpp.patch

Looking at it again, I can see a simple improvement that shouldn't cost 
too much computing power and would make it much more usable for pigments 
and media - returning smooth values based on rate of divergence.

No change needed on your if(cnt<=0){return -1.0;}, but what you can do 
for the other condition is:
return (cnt+log(log(r)/log(2.0))/log(n))/(iterations);

In words: find the count you got down to, and add a fraction to it that 
approximates how close it was to taking one less iteration, then 
normalizing that so it will return a range from 0 to 1+, where 0 is when 
you've reached nearly the max iterations, and 1+ when it takes only 1 
iteration to diverge, and higher than that when it diverges really far 
in the first step.
The actual formula for that fraction is log[base n](log[base 
threshold](cnt)), where your threshold for the radius is 2.0.

This would let you get smoothly colored pigment patterns if you want to 
do any rate of divergence coloring, which could be interesting. Of 
course feel free to change the range of returned values, this is just an 
idea for normalizing. To save very minor computational cost you can 
pre-calculate the log(2.0), or even change your divergence radius to E.

Chris

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