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#!/usr/bin/env python3
import numpy as np
import matplotlib.pyplot as plt
from alive_progress import alive_bar
img_res_x = 1000
img_res_y = 1000
total_pixels = img_res_x * img_res_y # so we don't gotta compute it every time
periods = .25
square_x = 1
square_y = 1
xmin = (-periods * np.pi) + (square_x * np.pi)
xmax = (periods * np.pi) + (square_x * np.pi)
ymin = (-periods * np.pi) + (square_y * np.pi)
ymax = (periods * np.pi) + (square_y * np.pi)
escape = 10000
iterations = 255*3
c_x = 2 * np.pi
c_y = 2 * np.pi
image = np.empty([img_res_y, img_res_x])
with alive_bar(img_res_y, bar = 'filling', spinner = 'waves') as bar:
for pix_y, y in enumerate(np.linspace(ymin, ymax, img_res_y)):
for pix_x, x in enumerate(np.linspace(xmin, xmax, img_res_x)):
on_x = x
on_y = y
for i in range(iterations):
completed_ratio = (((pix_x * pix_y * 1)) / total_pixels)
next_x = (completed_ratio * (on_x/np.sin(on_y))) + ((1 - completed_ratio) * on_x/np.tan(on_y))
on_y = (completed_ratio * (on_y/np.sin(on_x))) + ((1 - completed_ratio) * on_y/np.tan(on_x))
on_x = next_x
if on_x**2 + on_y**2 > escape:
break
image[pix_y][pix_x] = i
bar()
plt.style.use('dark_background')
# fuck this shit
fig = plt.figure(frameon=False)
fig.set_size_inches(img_res_x/fig.dpi, img_res_y/fig.dpi)
#fig.set_size_inches(width/height, 1, forward=False)
ax = plt.Axes(fig, [0., 0., 1., 1.])
ax.set_axis_off()
fig.add_axes(ax)
cmap = plt.cm.viridis
cmap.set_bad((0,0,0))
cmap.set_over((0,0,0))
cmap.set_under((0,0,0))
ax.imshow(image, norm="log", aspect="auto", cmap=cmap)
fig.savefig("linear_transform_sin_tan_arnolds_tongue_hotspot.png")
plt.show()
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