breathaudio-backend/animate_fractal.py

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import numpy as np
import matplotlib.pyplot as plt
from matplotlib import animation
from mandelbrot import mandelbrot
def animategif():
x_start, y_start = -2, -1.5 # an interesting region starts here
width, height = 3, 3 # for 3 units up and right
density_per_unit = 100 # how many pixels per unit
# real and imaginary axis
re = np.linspace(x_start, x_start + width, width * density_per_unit)
im = np.linspace(y_start, y_start + height, height * density_per_unit)
fig = plt.figure(figsize=(5, 5)) # instantiate a figure to draw
ax = plt.axes() # create an axes object
def animate(i):
ax.clear() # clear axes object
ax.set_xticks([], []) # clear x-axis ticks
ax.set_yticks([], []) # clear y-axis ticks
X = np.empty((len(re), len(im))) # re-initialize the array-like image
threshold = round(1.15 ** (i + 1)) # calculate the current threshold
# iterations for the current threshold
for i in range(len(re)):
for j in range(len(im)):
X[i, j] = mandelbrot(re[i], im[j], threshold)
# associate colors to the iterations with an iterpolation
img = ax.imshow(X.T, interpolation="bicubic", cmap='magma')
return [img]
anim = animation.FuncAnimation(fig, animate, frames=45, interval=120, blit=True)
return anim