Mandelbrot Set

Mandelbrot set demo implemented using NumPy, Numba, DPNP, and Numba-DPEx.

What it is

The Mandelbrot set is the set of complex numbers $c$ for which the function $f_{c}(z)=z^{2}+c$ does not diverge to infinity when iterated from $z=0$, i.e., for which the sequence $f_{c}(0)$, $f_{c}(f_{c}(0))$, etc., remains bounded in absolute value.

Images of the Mandelbrot set exhibit an elaborate and infinitely complicated boundary that reveals progressively ever-finer recursive detail at increasing magnifications

For further details please visit respective Wikipedia article.

How to run demo

Running from installed conda package

Install the demo as follows: conda install -c pycoddiy/label/dev mandelbrot-demo

From command line type: mandelbrot [command line options]

• --variant [numba, numpy, dpnp, numba-dpex] (default numpy) - implementation variant
• --frames-count - stop rendering after a specified amount of frames. Default 0 meaning that the demo does not stop until user action, e.g. close window
• --gui (default) or --no-gui - render the evolution of the grid or do the computation only and print performance statistics in the end.
• --task-size - window size WIDTH, HEIGHT. Example: 1024,800

Running from GitHub sources

Clone repository to a local project directory:

git clone https://github.com/samaid/Mandelbrot.git
cd ./Mandelbrot

From the command line type: python mandelbrot_demo.py [command line options]

• --variant [numba, numpy, dpnp, numba-dpex] (default numpy) - implementation variant
• --frames-count - stop rendering after a specified amount of frames. Default 0 meaning that the demo does not stop until user action, e.g. close window
• --gui (default) or --no-gui - render the evolution of the grid or do the computation only and print performance statistics in the end.
• --task-size - window size WIDTH, HEIGHT. Example: 1024,800