1 files changed, 63 insertions, 0 deletions
diff --git a/linear_transform_test.py b/linear_transform_test.py
new file mode 100755
index 0000000..5a0afca
--- /dev/null
+++ b/linear_transform_test.py
@@ -0,0 +1,63 @@
+#!/usr/bin/env python3
+import numpy as np
+import matplotlib.pyplot as plt
+from alive_progress import alive_bar
+
+img_res_x = 500
+img_res_y = 500
+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_y * img_res_y) + pix_x) / 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
+      print(completed_ratio)
+      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()