6 files changed, 588 insertions, 0 deletions
diff --git a/field_tests/backup b/field_tests/backup
new file mode 100644
index 0000000..2e60664
--- /dev/null
+++ b/field_tests/backup
@@ -0,0 +1,62 @@
+#!/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()
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()
diff --git a/field_tests/field.py b/field_tests/field.py
new file mode 100755
index 0000000..af2abbf
--- /dev/null
+++ b/field_tests/field.py
@@ -0,0 +1,191 @@
+#!/usr/bin/env python3
+import numpy as np
+import matplotlib.pyplot as plt
+from alive_progress import alive_bar
+
+img_res_x = 250
+img_res_y = 250
+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
+
+
+grid = np.meshgrid(np.linspace(ymin, ymax, 200), np.linspace(xmin, xmax, 200))
+#image = np.meshgrid(np.linspace(ymin, ymax, img_res_y), np.linspace(xmin, xmax, img_res_x))
+image = np.zeros([img_res_y, img_res_x], dtype=np.double)
+
+
+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 np.array([
+        ((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(-1,-1, 100, 10), point_charge(1,1,-100, 0)]
+point_charges = []
+
+
+#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)
+
+
+max_timesteps = 10
+
+def get_fractal_iter(img):
+  next_x = img[1][y][x] / np.sin(img[0][y][x])
+  img[0][y][x] = img[0][y][x] / np.sin(img[1][y][x])
+  img[1][y][x] = next_x
+  if (np.square(img[0][y][x]) + np.square(img[1][y][x])) >= escape:
+    z[y][x] = i
+    
+
+#meshgrid makes things slower as we can't test individual points for breaking to infinity;
+#however, I will fix that later.
+cmap = plt.cm.viridis
+cmap.set_bad((0,0,0))
+cmap.set_over((0,0,0))
+cmap.set_under((0,0,0))
+
+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 = on_x/np.sin(on_y)
+        on_y = on_y/np.sin(on_x)
+        on_x = next_x
+
+
+        # do physics here - we could just use vectors but i keep rewriting things
+        timesteps = max_
+        acceleration = np.array([0, 0], dtype=np.double)
+        velocity = np.array([on_x, on_y], dtype=np.double) # maybe multiply by stuff
+        pos = np.array([0,0], dtype=np.double)
+        for t in range(timesteps):
+          for p in point_charges:
+            acceleration += p.get_field(on_x, on_y)
+          velocity += acceleration
+          pos += velocity * (timesteps)
+          on_x += pos[0]
+          on_y += pos[1]
+        
+        if on_x**2 + on_y**2 > escape:
+          image[pix_x][pix_y] = i
+          break
+    bar()
+
+ax.imshow(image, norm="log", aspect="auto", cmap=cmap)
+plt.show()
+        
+
+# yeah, I shouldn't have switched to a meshgrid, oh well
+#z = np.empty_like(image[0])
+exit(0)
+with alive_bar(img_res_x, bar = 'filling', spinner = 'waves') as bar:
+  for y in range(img_res_y):
+    for x in range(img_res_x):
+      for i in range(iterations):
+        if image[0][y][x] == np.NAN:
+          continue
+        next_x = image[1][y][x] / np.sin(image[0][y][x])
+        image[0][y][x] = image[0][y][x] / np.sin(image[1][y][x])
+        image[1][y][x] = next_x
+        if (np.square(image[0][y][x]) + np.square(image[1][y][x])) >= escape:
+          z[y][x] = i
+          image[0][y][x] = np.NAN
+          image[1][y][x] = np.NAN
+          break
+#        #do physics here
+        
+        
+
+    bar()
+#image = np.clip(image, -escape, escape)
+
diff --git a/field_tests/gpu_migration.py b/field_tests/gpu_migration.py
new file mode 100755
index 0000000..718fe7d
--- /dev/null
+++ b/field_tests/gpu_migration.py
@@ -0,0 +1,137 @@
+#!/usr/bin/env python3
+import numpy as np
+import matplotlib.pyplot as plt
+import matplotlib.animation as animation
+import pyopencl as cl
+from alive_progress import alive_bar
+from matplotlib.backend_bases import MouseButton
+
+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 = 1
+square_x = 0
+square_y = 0
+
+x_min = (-periods * np.pi) + (square_x * np.pi)
+x_max = (periods  * np.pi) + (square_x * np.pi)
+y_min = (-periods * np.pi) + (square_y * np.pi)
+y_max = (periods * np.pi) + (square_y * np.pi)
+
+escape = 10000
+iterations = 255*3
+c_x = 2 * np.pi
+c_y = 2 * np.pi
+
+animation_progres_save = "ani1_less.mp4"
+single_frame_save = "asdf.png"
+
+opencl_context = cl.create_some_context(interactive=False)
+opencl_queue = cl.CommandQueue(opencl_context)
+
+kernel_src_path = "./kernel.c"
+
+frames = 1
+rendered_frames = []
+
+image = np.empty([img_res_x, img_res_y], np.uint32)
+image_buffer = cl.Buffer(opencl_context, cl.mem_flags.WRITE_ONLY, image.nbytes)
+
+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))
+
+bruh = None
+
+def on_click(event):
+    global bruh
+    split_ratio = 1
+    if (event.button is MouseButton.MIDDLE) and (event.inaxes):
+        # there's probably a way to set global coordinates;
+        # I don't expect this to go anywhere so I don't really care
+        on_x = ((event.xdata / img_res_x) * abs(x_max - x_min)) + x_min
+        on_y = ((event.ydata / img_res_y) * abs(y_max - y_min)) + y_min
+
+        #I, uh, also don't know the best way to replicate the openCL code automaticly in python
+        #so ajust if nessesary
+        x_hops = []
+        y_hops = []
+        for i in range(iterations):
+            x_hops.append(((on_x - x_min) / abs(x_max - x_min)) * img_res_x)
+            y_hops.append(((on_y - y_min) / abs(y_max - y_min)) * img_res_y)
+            next_x = on_x/np.tan(on_y)
+            on_y = on_y/np.tan(on_x)
+            on_x = next_x
+            if on_x**2 + on_y**2 > escape:
+                break
+        print(y_hops[0])
+        print(on_y)
+        print("{} hops".format(len(x_hops)))
+        if bruh:
+            bruh.pop(0).remove()
+        bruh = ax.plot(x_hops, y_hops)
+        plt.draw()
+
+         
+
+        print(on_x, on_y)
+
+
+print("compiling openCL kernel...")
+with open(kernel_src_path, 'r') as kernel_src:
+  compiled_kernel = cl.Program(opencl_context, kernel_src.read()).build()
+
+encoding_progress = alive_bar(frames, bar = 'filling', spinner = 'waves')
+
+def display_encoder_progress(current_frame: int, total_frames: int):
+    print("Encoding: frame {}/{}".format(current_frame, frames))
+
+
+
+print("Rendering {} frames...".format(frames))
+if frames > 1:
+    with alive_bar(frames, bar = 'filling', spinner = 'waves') as bar_total:
+        for frame_i in range(0, frames):
+            compiled_kernel.render_frame(opencl_queue, image.shape, None, image_buffer,
+                                         np.double(abs(x_max - x_min) / img_res_x),
+                                         np.double(abs(y_max - y_min) / img_res_y),
+                                         np.double(x_min), np.double(y_min), 
+                                         np.uint32(iterations), np.uint32(escape),
+                                         np.double(frame_i / frames))
+
+
+            cl.enqueue_copy(opencl_queue, image, image_buffer).wait()
+            rendered_frame = ax.imshow(image, norm="log", aspect="auto", cmap=cmap, animated="True")
+            rendered_frames.append([rendered_frame])
+            bar_total()
+    print("Encoding/Saving...")
+    ani = animation.ArtistAnimation(fig, rendered_frames, interval=30, blit=True)
+    ani.save(animation_progres_save, extra_args=['-preset', 'lossless'], progress_callback=display_encoder_progress, codec="h264_nvenc")
+else:
+        compiled_kernel.render_frame(opencl_queue, image.shape, None, image_buffer,
+                                     np.double(abs(x_max - x_min) / img_res_x),
+                                     np.double(abs(y_max - y_min) / img_res_y),
+                                     np.double(x_min), np.double(y_min), 
+                                     np.uint32(iterations), np.uint32(escape),
+                                     np.double(1))
+        cl.enqueue_copy(opencl_queue, image, image_buffer).wait()
+        ax.imshow(image, norm="log", aspect="auto", cmap=cmap)
+        fig.savefig(single_frame_save)
+        plt.autoscale(False)
+        plt.connect('motion_notify_event', on_click)
+        plt.show()
+
+        
diff --git a/field_tests/kernel.c b/field_tests/kernel.c
new file mode 100644
index 0000000..08b9137
--- /dev/null
+++ b/field_tests/kernel.c
@@ -0,0 +1,26 @@
+__kernel void basic_test() {
+  printf("this cores ID: (%lu, %lu)\n", get_global_id(0), get_global_id(1));
+}
+
+__kernel void render_frame(__global unsigned int *frame_output,
+    double x_step, double y_step,
+    double x_start, double y_start,
+    unsigned int iterations, unsigned int escape, double ratio) {  
+  unsigned int result;
+  double on_x = (get_global_id(0) * x_step) + x_start;
+  double on_y = (get_global_id(1) * y_step) + y_start;
+  double next_x;
+  unsigned int iter;
+
+  orig_x = on_x;
+  orig_y = on_y;
+  for(iter = 0; iter < iterations; iter++) { 
+    if(orig_x == 123 && orig_y == 5) printf("%d, %d\n", orig_x,orig_y);
+    next_x = on_x / sin(on_y);
+    on_y = on_y / sin(on_x);
+    on_x = next_x;
+    if((pow(on_x, 2) + pow(on_y, 2)) >= escape) break;
+  }
+  
+  frame_output[(get_global_id(1) * get_global_size(1)) + get_global_id(0)] = iter;
+}
diff --git a/field_tests/makefile b/field_tests/makefile
new file mode 100644
index 0000000..539deb1
--- /dev/null
+++ b/field_tests/makefile
@@ -0,0 +1,4 @@
+make:
+	gcc -Wall -fpic -c field.c
+	gcc -Wall -shared -o field.so field.o
+	python3 field.py