This may be waaay off topic, but if you could use Python then this
implementation of the game of life may have something to teach - it's
really blindingly fast!

http://golly.sourceforge.net/

enjoy,
John

On Mar 25, 4:15 am, Matthew Kerle <[email protected]> wrote:
> TL;DR we're writing a Mandelbrot set viewer and need to dive deeper.
> BigDecimal sucks. help!
>
> So... My friend wrote a mandelbrot set viewer in Java (with Netbeans =D )
> using floats, it's pretty nice and lets you pan around and zoom and the
> performance is not too bad, but after a while you hit the precision limit of
> float (image pixellates out) so we swapped over to double and got a bit
> deeper.
>
> The problem is now we want to go deeper than double lets us (step 6
> here<http://en.wikipedia.org/wiki/Mandelbrot_set#Image_gallery_of_a_zoom_s...>).
> We tried implementing with BigDecimal but the performance absolutely crapped
> out, like 100x worse, you die waiting for a single frame to render even with
> precision turned way down (God help if you don't set a MathContext!!). After
> googling around it looks like the problem is BigDecimal, it's optimised for
> precision over speed. we don't care very much about precision, we just need
> enough to get our pretty colours :-) Speed is more of a concern, although
> obviously we're not realistically expecting float/double type speed from
> arbitrary-precision arithmetic, but a slowdown of 2-5x would be fine, 10x +
> starts getting depressing though...
>
> Other methods of performance tuning we're looking at:
> - firstly progressive rendering (eg, do 100 iterations, draw an image, then
> next 100 and so on to limit)
> - scale-dependant implementation (eg go from float to double to ? as you
> zoom in)
> - multi-threading (split the image up and hand each portion off to a core,
> not sure best way to configure this, thread per core?)
> - caching (not sure best strategy for this, store result for each point with
> iteration count or image directly? cache would get HUGE, but don't care...)
>
> I've found the ApFloat library <http://www.apfloat.org/apfloat_java/> which
> looks pretty cool. but haven't had a chance to run some comparison runs with
> it against BD yet (darn day job!!).
>
> Just wondering if anyone else has any experience with this domain or any
> pointers? it's been a few years since uni and my number theory is a bit
> rusty (one of the reasons we're playing with this...). mandelbrot uses
> T(n+1) = n^2 + first term, so maybe we can do some optimisations by using
> operating on integers and storing the precision separately? (obviously this
> is what BD does already, but we only want a narrow slice of what it does...)
>
> incidentally, found Fast Fractal, it's a closed-source
> windows-only<http://www.fastfractal.com/>program which purports to
> have GPU acceleration for fractal viewing. I tried
> it out and wasn't impressed, but then it couldn't detect my graphics card so
> GPU acceleration wasn't enabled (low-rung Toshiba Satellite laptop). Any
> decent GPU accelerated mandelbrot viewers out there for linux?
>
> cheers!
> matt.

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