Mandelbrot set and Julia set using the OpenGLGadget and a fragment shader

[NicTheQuick]

Nice code, STARGÅTE. Fast, too. I thought I could keep zooming in forever but it does come to an eventual end.

On the one hand you can increase the iterations per step which will drastically lower your framerate.
But on the other hand there are limits with floating point values and at some point you will not be able to zoom any further.

[STARGÅTE]

Works flawlessly an very snappy on Linux. very nice!

Well, 16384 iteration steps gave me a rendering time of about 1000 ms which in turn affects my whole system. Typical bad nvidia drivers on Linux I guess.

16k iterations is a lot, especially when you are looking into a "black region". Then I think 1s is fine for a normal GPU and 1600 x 800 px.

Nice code, STARGÅTE. Fast, too. I thought I could keep zooming in forever but it does come to an eventual end.

On the one hand you can increase the iterations per step which will drastically lower your framerate.
But on the other hand there are limits with floating point values and at some point you will not be able to zoom any further.

Right. Currently the calculation uses doubles (64bit), but I have also the option to implement fixed point arithmetic with 128bits, 256bits or more, but of course with reductions in the frame rate.

[macros]

linux/Ubuntu error
0:1(10): error: GLSL 4.10 is not supported. Supported versions are: 1.10, 1.20, and 1.00 ES
0:1(10): error: GLSL 4.10 is not supported. Supported versions are: 1.10, 1.20, and 1.00 ES

Thank you very much for the Linux version, its rendering speed is incredible
and of course to you STARGÅTE for the original.

I ran into the same error as you, but then I remembered that the code runs only on my weak integrated graphics card.

A

Code: Select all

DRI_PRIME=1 ./Mandelbrot 

and in ran flawlessly on my discrete graphics with OpenGL 4.5

[Mr.L]

I love this kind of stuff!
Works very well - thanks for sharing!

[BarryG]

at some point you will not be able to zoom any further

I remember reading (or watching a documentary on TV?) years ago that zooming into Mandelbrots was unlimited because the maths involved was recursive?

[Edit] I just found this website -> https://sciencedemos.org.uk/mandelbrot.php

Which says: "The Mandelbrot set is one of the best known examples of a fractal. It is a structure with an infinite amount of fine detail: you can zoom in on the edge of the fractal forever, and it will continue to reveal ever-smaller details."

[Demivec]

at some point you will not be able to zoom any further

I remember reading (or watching a documentary on TV?) years ago that zooming into Mandelbrots was unlimited because the maths involved was recursive?

[Edit] I just found this website -> https://sciencedemos.org.uk/mandelbrot.php

Which says: "The Mandelbrot set is one of the best known examples of a fractal. It is a structure with an infinite amount of fine detail: you can zoom in on the edge of the fractal forever, and it will continue to reveal ever-smaller details."

@BarryG: NicTheQuick most likely meant that you would not be able to zoom any further because of limitations with the representation used for a floating pointer number along with the math functions for it. For instance, the website you linked to can't zoom in beyond 7051 interations. To increase the ability to zoom in you would need a number format that could represent the increasingly small values with enough detail.

[BarryG]

Ah, I get it now. Thanks.

[skinkairewalker]

Is anyone else having trouble running the shader?
It doesn't cause any errors, but everything in the OpenGL area goes black

[STARGÅTE]

Is anyone else having trouble running the shader?
It doesn't cause any errors, but everything in the OpenGL area goes black

What PB Version do you use, which operating system and which graphic card do you use?

[skinkairewalker]

What PB Version do you use

I tested it on PB versions: 6.10, 6.12 and 6.20

which operating system

Windows 11 Home Single Language - 23H2

and which graphic card do you use?

Intel UHD Graphics
Nvidia 3060 Laptop

[threedslider]

Me too is shown black

I have used PB 6.12 and my Nvidia 3080 laptop

[macros]

Here both versions work flawlessly (Stargates Original Code and mpz's version)
Kubuntu 24.04 + PB 6.12 and Radeon Phoenix1 GPU (an APU)

For the original code I just added

Code: Select all

CompilerIf #PB_Compiler_OS = #PB_OS_Linux
  ImportC "-lGL"
    wglGetProcAddress_(s.p-ascii) As "glXGetProcAddress"
  EndImport
CompilerEndIf 

to make it work under Linux.