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Welcome to Fractal Forums > Fractal Math, Chaos Theory & Research > (new) Theories & Research > Perturbation formula for burning ship (hopefully correct :P)
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Author Topic: Perturbation formula for burning ship (hopefully correct :P)  (Read 1792 times)
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stardust4ever
Fractal Bachius
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Posts: 513
« Reply #30 on: September 14, 2017, 06:32:07 AM »
Awesome if these advances can be built into the next KF build. Will GPU rendering work well on an Nvidia Gforce 430? 96 Cuda cores. My GPU is pretty old as I never found a need to upgrade it. Will it still outperform my AMD Bulldozer 8150 @4.2Ghz?
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therror
Explorer
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Posts: 42
« Reply #31 on: September 14, 2017, 08:21:30 AM »
Yes, I use GeForce 730 (Fermi). It is the same GF108 (96 cores) that GeForce 430. Your results can be similar (IMHO)  roll eyes
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Kalles Fraktaler
Fractal Senior
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Posts: 1458



kallesfraktaler
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« Reply #32 on: September 15, 2017, 12:22:17 PM »
That is awesome that you are able to generate the abs fractals 3 times faster!
No, I haven't had time to try different conditions in that way smiley
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Want to create DEEP Mandelbrot fractals 100 times faster than the commercial programs, for FREE? One hour or one minute? Three months or one day? Try Kalles Fraktaler http://www.chillheimer.de/kallesfraktaler
http://www.facebook.com/kallesfraktaler
therror
Explorer
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Posts: 42
« Reply #33 on: September 17, 2017, 03:02:13 PM »
Maybe, it works well only in GPUs, because they are sensitive to different if-else conditions int the same warp. Also, GPUs are sensitive to number of variables, because register file is limited and latency of global memory is much more.
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claude
Fractal Bachius
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Posts: 563



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« Reply #34 on: September 20, 2017, 08:34:34 AM »
This is the code in my next version of Kalles Fraktaler (2.12.2, coming soon):

Code:
static inline double d_diffabs(const double c, const double d)
{
  double cd = c + d;
  if (c >= 0.0)
    if (cd >= 0.0)      return d;
    else      return -d - 2.0 * c;
  else
    if (cd > 0.0)      return d + 2.0 * c;
    else      return -d;
}

(and similarly for long double and floatexp)

One test is 7.5% faster than the original code in my fork, with no differences in the image.  A nice improvement, even though not as impressive as the difference on GPU.  Thanks therror!

Note that the "2.0 *" formulation is important, trying to use "cd + c" to save a multiplication leads to unacceptable rounding errors (different images, actually slower due to more references needed, just wrong I guess).
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