PYTHON:
Use the file provided. It looks like this:
import numpy as np
import matplotlib.pyplot as plt
xmin, xmax = -2., 1.
ymin, ymax = -1.5, 1.5
num_pixels = 1000
# initial setup of calculation constant C for each pixel
X = np.linspace(xmin, xmax, num_pixels)[None,:]
Y = np.linspace(ymin, ymax, num_pixels)[:,None]
C = X + 1j * Y
# start value of Z is always 0
Z = np.zeros_like(C)
# P counts iterations, this is what we plot at the end
P = np.zeros_like(C, dtype=’uint8′) # unsigned int 0..255
# iteration of Z <- Z*Z + C
for i in range(120):
# print(f”Iteration {i}”)
# which elements are still “live”?
live = np.abs(Z) < 2.
# update live pixels with current iteration number
P[live] = i
# iterate
Z[live] = Z[live]*Z[live] + C[live]
plt.imshow(
P,
origin=’lower’,
extent=(X.min(), X.max(), Y.min(), Y.max())
)
plt.savefig(“mandelbrot.png”)
1) Instead of everything happening in the main program, enter everything that is relevant in a function almond (x, y, size, pixels, filename) which takes in 5 arguments and should use plt.savefig to save an image file. The function should not return anything. The arguments x and y are coordinates of the lower left corner, size is the distance from x / ymin to x / ymax, pixels is the number of pixels in each direction, and filename is the name of the file to be saved.
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