1 files changed, 168 insertions, 0 deletions
diff --git a/field_tests/basic_field_test.py b/field_tests/basic_field_test.py
new file mode 100644
index 0000000..faf3c2c
--- /dev/null
+++ b/field_tests/basic_field_test.py
@@ -0,0 +1,168 @@
+#!/usr/bin/env python3
+import numpy as np
+import matplotlib.pyplot as plt
+from alive_progress import alive_bar
+
+img_res_x = 100
+img_res_y = 100
+total_pixels = img_res_x * img_res_y # so we don't gotta compute it every time
+
+periods = 1
+square_x = 0
+square_y = 0
+
+#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)
+
+xmin = -10
+xmax = 10
+ymin = -10
+ymax = 10
+
+escape = 10000
+iterations = 255*3
+c_x = 2 * np.pi
+c_y = 2 * np.pi
+
+
+image = np.empty([img_res_y, img_res_x])
+grid = np.meshgrid(np.linspace(ymin, ymax, img_res_y), np.linspace(xmin, xmax, img_res_x))
+print(grid[0].dtype)
+
+
+class point_charge():
+  def __init__(self, x, y, c, mod):
+    self.x = x
+    self.y = y
+    self.c = c
+    self.mod = mod
+  def get_field(self, to_x, to_y):
+    if(self.mod):
+      to_x = (to_x % self.mod)
+      to_y = (to_y % self.mod)
+    return (
+        ((self.c * (self.x - to_x)) / ((self.x - to_x)**2 + (self.y - to_y)**2)**1.5),
+        ((self.c * (self.y - to_y)) / ((self.x - to_x)**2 + (self.y - to_y)**2)**1.5))
+
+#will remove all the point charge code if it turns out to be good enough to be impliemnted into openCL
+#point_charges = [point_charge(-5, -5, 100), point_charge(-5, 5, -100), point_charge(5, 0, 100)]
+point_charges = [point_charge(5,5, 100, 10), point_charge(0,0,-100, 0)]
+
+
+plt.ion()
+ax = plt.gca()
+fig = plt.gcf()
+ax.set_autoscale_on(False)
+ax.set_xlim([xmin, xmax])
+ax.set_ylim([ymin, ymax])
+
+vector_arrows = None
+
+def show_field():
+  global vector_arrows
+  grid_f = np.zeros_like(grid)
+  for p in point_charges:
+    grid_f += p.get_field(grid[0], grid[1])
+  #plt.streamplot(grid[0], grid[1], grid_f[0], grid_f[1], density=5)
+  vector_arrows = plt.quiver(grid[0], grid[1], grid_f[0], grid_f[1])
+  plt.show(block=False)
+  plt.pause(.1)
+
+
+show_field()
+
+timestep = .1
+def test_sim():
+  particle_grid = np.meshgrid(np.linspace(ymin, ymax, 100), np.linspace(xmin, xmax, 100))
+  pos = particle_grid
+  acceleration = np.zeros_like(particle_grid)
+  velocity = np.zeros_like(particle_grid)
+  velocity = [np.ones_like(particle_grid[0]) * 1, np.ones_like(particle_grid[0]) * .5]
+  mass = 10
+  charge = 1
+  particle_plot = ax.plot(velocity[0], velocity[1], 'bo', animated=True)
+  #velocity += .1
+
+  background = fig.canvas.copy_from_bbox(ax.bbox)
+  ax.draw_artist(vector_arrows)
+  fig.canvas.blit(fig.bbox)
+  
+  while True:
+    fig.canvas.restore_region(background)
+    field = np.zeros_like(particle_grid)
+    # TODO can make this quicker by skipping initilization
+    for p in point_charges:
+      field += p.get_field(pos[0], pos[1])
+    acceleration = ((charge * field) / mass) * timestep
+    #print(acceleration)
+    velocity += acceleration * timestep
+    pos += velocity * timestep
+
+    fig.canvas.restore_region(background)
+    particle_plot[0].set_data(pos[0],pos[1])
+    ax.draw_artist(particle_plot[0])
+    fig.canvas.blit(fig.bbox)
+    fig.canvas.flush_events()
+    plt.pause(1/60)
+
+    #fig.canvas.draw_idle()
+test_sim()
+
+exit(1)
+
+
+
+    
+
+#with alive_bar(iterations, bar = 'filling', spinner = 'waves') as bar:
+#  for i in range(iterations):
+#    next_x = xx / np.sin(yy)
+#    yy = yy / np.sin(xx)
+#    xx = next_x
+#    bar()
+#image = np.vstack([xx.ravel(), yy.ravel()])
+  
+
+#meshgrid makes things slower as we can't test individual points for breaking to infinity
+fractal_test = False
+if fractal_test:
+  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()
+else:
+  exit()
+
+
+exit(1)      
+
+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()