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August 9, 2019 04:39
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マンデルブロ集合
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import numpy as np | |
import matplotlib.pyplot as plt | |
from tqdm import tqdm | |
N = 1000 | |
inital_z = 0 | |
epsilon = 0.01 | |
center_position = [-0.7, 0.46] | |
def f(z, C): | |
return z*z + C | |
def convergence_judgment(C): | |
z = inital_z | |
i = 0 | |
while i < 100: | |
z = f(z, C) | |
if abs(z) > 2: | |
return i | |
i += 1 | |
return i | |
def show(grid): | |
plt.figure(figsize=(15,15)) | |
plt.axis("off") | |
plt.tick_params(labelbottom=False, labelleft=False, labelright=False, labeltop=False) | |
plt.imshow(grid, vmin=0, vmax=100, cmap="Blues_r") | |
plt.savefig("save/img_x{}_y{}_e{}.png".format(center_position[0], center_position[1], epsilon)) | |
plt.show() | |
def main(): | |
grid = np.empty((N, N), dtype=np.uint8) | |
points_x = np.linspace(center_position[0]-epsilon, center_position[0]+epsilon, N) | |
points_y = np.linspace(center_position[1]-epsilon, center_position[1]+epsilon, N) | |
for n, ReC in tqdm(enumerate(points_x)): | |
for m, ImC in enumerate(points_y): | |
C = ReC + ImC*1J | |
grid[m, n] = convergence_judgment(C) | |
show(grid) | |
if __name__ == "__main__": | |
main() |
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