Fractal Jax

Generate figures of the Julia and Mandelbrot sets with Jax.

z = z**2 + c

Install

This package requires Jax - see the official Jax documentation.

pip install --upgrade "jax[cuda]" -f https://storage.googleapis.com/jax-releases/jax_cuda_releases.html
cd fractal-jax
pip install .

Generate Mandelbrot set figures

from fractal_jax import FractalJax

# specify number of iterations, divergence threshold and backend
m = FractalJax(iterations=50, divergence_threshold=2, backend="gpu")

import matplotlib.pyplot as plt
fig, ax = plt.subplots(1, 1, figsize=(5, 5))
ax.imshow(
    m.generate_mandelbrot(x_range=[-2, 1], y_range=[-1.5, 1.5], pixel_res=300)
)

You can adjust the region which you care about (x_range and y_range) and the pixel resolution (pixel_res):

fig, ax = plt.subplots(1, 1, figsize=(5, 5))
ax.imshow(
    m.generate_mandelbrot(x_range=[-1, -0.9], y_range=[-.3, -.2], pixel_res=30000))
)

Generate Julia set figures

You can generate figures of the Julia set by specifying the complex constant c:

fig, ax = plt.subplots(1, 1, figsize=(5, 5))
c=complex(-0.5792518264067199, 0.5448363340450433)
ax.imshow(
    m.generate_julia(c=c, x_range=[-1.5, 1.5], y_range=[-1.5, 1.5], pixel_res=300)
)

Credits

This implementation is based on the analysis made by jpivarski in mandelbrot-on-all-accelerators.ipynb