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panel.py
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panel.py
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import numpy as np
import matplotlib.pyplot as plt
import matplotlib.patches as patches
from copy import copy
class panel:
class panel_translation:
def __init__(self, x_offset=0, y_offset=0, rotation=0):
valid_rotations = [0, 90, 180, 270]
if rotation not in valid_rotations:
raise Exception(f"Allowed rotations are {valid_rotations}")
self.x_offset = x_offset
self.y_offset = y_offset
self.rotation = rotation
def __init__(self, width, length, min_led_spacing, x_offset=0, y_offset=0, rotation=0):
self.width = width
self.length = length
self.min_led_spacing = min_led_spacing
self.leds = []
self.fixed_leds = []
self.x_vals = np.linspace(-(width/2.0), width/2.0, int(width/min_led_spacing)+1)[1:-1]
self.y_vals = np.linspace(-(length/2.0), length/2.0, int(length/min_led_spacing)+1)[1:-1]
self.n_rows = len(self.y_vals)
self.n_cols = len(self.x_vals)
self.translations = [self.panel_translation(x_offset, y_offset, rotation)]
#t0 means the first copy of the panel (translations[0])
self.t0_x_vals = np.copy(self.x_vals)
self.t0_y_vals = np.copy(self.y_vals)
if rotation in [90, 270]:
tmp = self.t0_x_vals
self.t0_x_vals = self.t0_y_vals
self.t0_y_vals = tmp
self.t0_x_vals += x_offset
self.t0_y_vals += y_offset
self.flux_x_lb = self.t0_x_vals[0]
self.flux_x_ub = self.t0_x_vals[-1]
self.flux_y_lb = self.t0_y_vals[0]
self.flux_y_ub = self.t0_y_vals[-1]
return
def add_copy(self, x_offset, y_offset, rotation):
self.translations.append(self.panel_translation(x_offset, y_offset, rotation))
def load_panel_file(self, fname, fixed=False):
f = open(fname, "r")
for line in f.readlines():
coord_str = line.split(",")
coords = [float(coord_str[0]), float(coord_str[1])]
if fixed:
self.fixed_leds.append(coords)
else:
self.leds.append(coords)
f.close()
def save_panel_file(self, fname):
f = open(fname, "w+")
for led in self.leds:
f.write(f"{led[0]},{led[1]}\n")
f.close()
def place_random_leds(self, count):
if count > self.n_rows * self.n_cols:
print(f"too many LEDs. Max {self.n_rows * self.n_cols}")
return
rng = np.random.default_rng()
for i in range(count):
while True:
x = rng.choice(self.x_vals)
y = rng.choice(self.y_vals)
if ([x, y] not in self.leds) and ([x,y] not in self.fixed_leds):
self.leds.append([x, y])
break
class grow_area:
def __init__(self, width, length, height, resolution=0.125):
self.xmin = -width/2.0
self.xmax = width/2.0
self.ymin = -length/2.0
self.ymax = length/2.0
x_vals = np.linspace(self.xmin, self.xmax, int(width/resolution))
y_vals = np.linspace(self.ymin, self.ymax, int(length/resolution))
self.height = height
self.resolution = resolution
self.grid_xx, self.grid_yy = np.meshgrid(x_vals, y_vals, indexing='ij')
self.photon_flux = np.zeros(self.grid_xx.shape)
self.panels = []
self.patches = []
self.maxflux = 0
def translate_point(self, point, x_offset, y_offset, rotation, reversed=False):
#If reversed is true the opposite translation is done
ret_point = [point[0],point[1]]
if not reversed:
if rotation == 90:
tmp = -ret_point[0]
ret_point[0] = ret_point[1]
ret_point[1] = tmp
elif rotation == 180:
ret_point[0] *= -1
ret_point[1] *= -1
elif rotation == 270:
tmp = -ret_point[1]
ret_point[1] = ret_point[0]
ret_point[0] = tmp
ret_point[0] += x_offset
ret_point[1] += y_offset
if reversed:
ret_point[0] -= x_offset
ret_point[1] -= y_offset
rotation = (-rotation) % 360
if rotation == 90:
tmp = -ret_point[0]
ret_point[0] = ret_point[1]
ret_point[1] = tmp
elif rotation == 180:
ret_point[0] *= -1
ret_point[1] *= -1
elif rotation == 270:
tmp = -ret_point[1]
ret_point[1] = ret_point[0]
ret_point[0] = tmp
return ret_point
def draw(self, fname=None):
f, axs = plt.subplots(2,1, figsize=(20,12), tight_layout=True, height_ratios=[10,1])
axs[0].set_aspect('equal')
axs[0].set_xlim(self.xmin-self.resolution, self.xmax+self.resolution)
axs[0].set_ylim(self.ymin-self.resolution, self.ymax+self.resolution)
im = axs[0].imshow(self.photon_flux, animated=True, origin='lower', extent=(self.xmin-(self.resolution/2), self.xmax+(self.resolution/2), self.ymin-(self.resolution/2), self.ymax+(self.resolution/2)))
scatter = axs[0].scatter([], [], color='red')
scatter_fixed = axs[0].scatter([], [], color='white')
im.set_clim((np.min(self.photon_flux), np.max(self.photon_flux)))
im.set_array(np.transpose(self.photon_flux))
tmp = []
tmp_fixed = []
for p in self.panels:
for t in p.translations:
for led in p.leds:
tmp.append(self.translate_point(led, t.x_offset, t.y_offset, t.rotation))
for led in p.fixed_leds:
tmp_fixed.append(self.translate_point(led, t.x_offset, t.y_offset, t.rotation))
scatter.set_offsets(tmp)
if len(tmp_fixed) > 0:
scatter_fixed.set_offsets(tmp_fixed)
for patch in self.patches:
axs[0].add_patch(copy(patch))
flux_distribution = np.copy(self.photon_flux)
flux_distribution = flux_distribution.flatten()
if np.max(flux_distribution) > self.maxflux:
self.maxflux = np.max(flux_distribution)
axs[1].hist(flux_distribution, bins=100, range=(0,self.maxflux))
if fname != None:
f.savefig(fname)
plt.close(f)
def add_panel(self, p):
self.panels.append(p)
for translation in p.translations:
w = p.width
l = p.length
if translation.rotation in [90, 270]:
tmp = w
w = l
l = tmp
x = translation.x_offset
y = translation.y_offset
rect = patches.Rectangle((x-(w/2.0), y-(l/2.0)), w, l, linewidth=1, edgecolor="black", facecolor="none")
self.patches.append(rect)
def calc_relative_flux_density(self, x_offset, y_offset, height, view_angle=120):
flux_pixel_area = self.resolution**2
if view_angle == 120:
return(flux_pixel_area * (((height**2) / (((x_offset**2)+(y_offset**2)+(height**2))**(2)))/np.pi))
else:
angle_rad = np.radians(view_angle)
m = (-1 * np.log(2))/(np.log(np.cos(angle_rad/2)))
return flux_pixel_area * (((height**(m+1.0)) / ((x_offset**2) + (y_offset**2) + (height**2))**((m+3.0)/2.0)) / (np.pi / (((m+3)/2)-1)))
def clear_flux(self):
self.photon_flux *= 0
def add_led_flux(self, led, view_angle=120):
tmp = self.calc_relative_flux_density(self.grid_xx - led[0], self.grid_yy - led[1], self.height, view_angle=view_angle)
self.photon_flux = self.photon_flux + tmp
def subtract_led_flux(self, led):
tmp = self.calc_relative_flux_density(self.grid_xx - led[0], self.grid_yy - led[1], self.height)
self.photon_flux = self.photon_flux - tmp
def init_photon_flux(self, view_angle=120):
self.clear_flux()
for p in self.panels:
for t in p.translations:
for led in p.leds:
tmp_led = self.translate_point(led, t.x_offset, t.y_offset, t.rotation)
self.add_led_flux(tmp_led, view_angle=view_angle)
class flux_optimizer:
def __init__(self, grow, view_angle=120):
self.g = grow
self.g.init_photon_flux(view_angle=view_angle)
self.framenum = 0
self.min_variance = float("inf")
self.masks = []
#Create masks for each panel's first copy
# Set all locations within the panel to 0
# Set all locations outside the panel to infinity
for p_idx in range(len(self.g.panels)):
tmp_mask = np.zeros(self.g.photon_flux.shape)
for i in range(len(tmp_mask)):
for j in range(len(tmp_mask[i])):
point = [self.g.grid_xx[i][j], self.g.grid_yy[i][j]]
tmp_mask[i][j] += float('inf')
if (point[0] >= self.g.panels[p_idx].flux_x_lb and point[0] <= self.g.panels[p_idx].flux_x_ub) and (point[1] >= self.g.panels[p_idx].flux_y_lb and point[1] <= self.g.panels[p_idx].flux_y_ub):
tmp_mask[i][j] = 0
self.masks.append(tmp_mask)
def optimizer_step(self, view_angle=120):
for p_idx in range(len(self.g.panels)):
#Randomize order of LEDs. Probably unnecessary
idxs = list(range(len(self.g.panels[p_idx].leds)))
rng = np.random.default_rng()
rng.shuffle(idxs)
for i in range(len(self.g.panels[p_idx].leds)):
#Check that the LED index is still valid
if i >= len(self.g.panels[p_idx].leds):
break
#Get the LED's location on the first copy of the current panel and remove its flux
led = self.g.panels[p_idx].leds[i]
led = self.g.translate_point(led, self.g.panels[p_idx].translations[0].x_offset, self.g.panels[p_idx].translations[0].y_offset, self.g.panels[p_idx].translations[0].rotation)
self.g.subtract_led_flux(led)
#Creat masked flux arrays for each unique panel (set all flux values outside the bounds of the panel to infinity)
tmp_flux = []
for j in range(len(self.g.panels)):
tmp_flux.append(np.copy(self.g.photon_flux))
tmp_flux[j] += self.masks[j]
#Variables to store the best new loaction for the LED throughout the search
new_led = [0,0]
new_led_panel = 0
min_flux = float("inf")
#Search the masked flux arrays for the valid location with the lowest flux
for j in range(len(self.g.panels)):
sorted_flux = np.sort(tmp_flux[j].flatten())
for minval in sorted_flux:
if minval > min_flux:
break
#Find global coordinates (with grow_area scale) where flux == minval
min_idx = np.argwhere(tmp_flux[j] == minval)[0]
min_coords = [self.g.grid_xx[min_idx[0]][min_idx[1]], self.g.grid_yy[min_idx[0]][min_idx[1]]]
#Find closest global coordinates (with panel scale) to the grow area location
#This is needed since the panel and grow area can have different resolutions and will not always line up
min_difference = float('inf')
new_x_val = 0
new_y_val = 0
for x_val in self.g.panels[j].t0_x_vals:
absolute_difference = abs(x_val - min_coords[0])
if absolute_difference < min_difference:
min_difference = absolute_difference
new_x_val = x_val
min_difference = float('inf')
for y_val in self.g.panels[j].t0_y_vals:
absolute_difference = abs(y_val - min_coords[1])
if absolute_difference < min_difference:
min_difference = absolute_difference
new_y_val = y_val
#Convert global coordinates to panel's local coordinates
tmp_led = self.g.translate_point([new_x_val, new_y_val], self.g.panels[j].translations[0].x_offset, self.g.panels[j].translations[0].y_offset, self.g.panels[j].translations[0].rotation, reversed=True)
#Only save the new LED if there is not already an LED there
if ((tmp_led not in self.g.panels[j].leds) and (tmp_led not in self.g.panels[j].fixed_leds)) or ((p_idx == j) and (tmp_led == self.g.panels[j].leds[i])):
led = [new_x_val, new_y_val]
new_led = self.g.translate_point(led, self.g.panels[j].translations[0].x_offset, self.g.panels[j].translations[0].y_offset, self.g.panels[j].translations[0].rotation, reversed=True)
new_led_panel = j
min_flux = minval
break
#Add the flux for the first copy of the panel here since the old LED's flux for that copy has already been removed
self.g.add_led_flux(led)
#Remove the LED flux for the old location and add for the new location on all other copies of the panel
#Add the local panel coordinates of the new LED to the panel
save_frame = False
if p_idx == new_led_panel:
for t in self.g.panels[p_idx].translations[1:]:
led = self.g.translate_point(self.g.panels[p_idx].leds[i], t.x_offset, t.y_offset, t.rotation)
self.g.subtract_led_flux(led)
led = self.g.translate_point(new_led, t.x_offset, t.y_offset, t.rotation)
self.g.add_led_flux(led)
if self.g.panels[p_idx].leds[i] != new_led[:]:
save_frame = True
self.g.panels[p_idx].leds[i] = new_led[:]
else:
for t in self.g.panels[p_idx].translations[1:]:
led = self.g.translate_point(self.g.panels[p_idx].leds[i], t.x_offset, t.y_offset, t.rotation)
self.g.subtract_led_flux(led)
self.g.panels[p_idx].leds.pop(i)
self.g.panels[new_led_panel].leds.append(new_led[:])
for t in self.g.panels[new_led_panel].translations[1:]:
led = self.g.translate_point(new_led, t.x_offset, t.y_offset, t.rotation)
self.g.add_led_flux(led)
#If the variance is the lowest found, save the LED panels and the grow area image
variance = np.var(self.g.photon_flux)
if p_idx == new_led_panel:
if new_led != self.g.panels[p_idx].leds[i]:
save_frame = True
else:
save_frame = True
if save_frame:
fname = f"./frames/{str(self.framenum).zfill(8)}.png"
self.g.draw(fname=fname)
self.framenum += 1
if variance < self.min_variance:
self.min_variance = variance
self.g.draw(fname="optimized_panel.png")
for j in range(len(self.g.panels)):
self.g.panels[j].save_panel_file(f"optimized_panel{j}.csv")
"""
TODO:
add the loop to the optimizer class instead of doing it in main
add animation to optimizer, clean up frames after
"""
if __name__ == "__main__":
panels = []
view_angle = 120
'''
view_angle = 130
leds_per_panel = 5
panels.append(panel(5, 5, .25, x_offset=-7.875, y_offset=7.875, rotation=0))
panels[0].load_panel_file(f'./20x20/400led_4in/optimized_panel0.csv', fixed=True)
panels[0].place_random_leds(leds_per_panel)
panels[0].add_copy(7.875, 7.875, 90)
panels[0].add_copy(7.875, -7.875, 180)
panels[0].add_copy(-7.875, -7.875, 270)
panels.append(panel(5, 5, .25, x_offset=-2.625, y_offset=7.875, rotation=0))
panels[1].load_panel_file(f'./20x20/400led_4in/optimized_panel1.csv', fixed=True)
panels[1].place_random_leds(leds_per_panel)
panels[1].add_copy(7.872, 2.625, 90)
panels[1].add_copy(2.625, -7.875, 180)
panels[1].add_copy(-7.875, -2.625, 270)
panels.append(panel(5, 5, .25, x_offset=-7.875, y_offset=2.625, rotation=0))
panels[2].load_panel_file(f'./20x20/400led_4in/optimized_panel2.csv', fixed=True)
panels[2].place_random_leds(leds_per_panel)
panels[2].add_copy(2.625, 7.875, 90)
panels[2].add_copy(7.875, -2.625, 180)
panels[2].add_copy(-2.625, -7.875, 270)
panels.append(panel(5, 5, .25, x_offset=-2.625, y_offset=2.625, rotation=0))
panels[3].load_panel_file(f'./20x20/400led_4in/optimized_panel3.csv', fixed=True)
panels[3].place_random_leds(leds_per_panel)
panels[3].add_copy(2.625, 2.625, 90)
panels[3].add_copy(2.625, -2.625, 180)
panels[3].add_copy(-2.625, -2.625, 270)
'''
leds_per_panel = 25
panels.append(panel(5, 5, .25, x_offset=-7.875, y_offset=7.875, rotation=0))
panels[0].place_random_leds(leds_per_panel)
panels[0].add_copy(7.875, 7.875, 90)
panels[0].add_copy(7.875, -7.875, 180)
panels[0].add_copy(-7.875, -7.875, 270)
panels.append(panel(5, 5, .25, x_offset=-2.625, y_offset=7.875, rotation=0))
panels[1].place_random_leds(leds_per_panel)
panels[1].add_copy(7.872, 2.625, 90)
panels[1].add_copy(2.625, -7.875, 180)
panels[1].add_copy(-7.875, -2.625, 270)
panels.append(panel(5, 5, .25, x_offset=-7.875, y_offset=2.625, rotation=0))
panels[2].place_random_leds(leds_per_panel)
panels[2].add_copy(2.625, 7.875, 90)
panels[2].add_copy(7.875, -2.625, 180)
panels[2].add_copy(-2.625, -7.875, 270)
panels.append(panel(5, 5, .25, x_offset=-2.625, y_offset=2.625, rotation=0))
panels[3].place_random_leds(leds_per_panel)
panels[3].add_copy(2.625, 2.625, 90)
panels[3].add_copy(2.625, -2.625, 180)
panels[3].add_copy(-2.625, -2.625, 270)
'''
leds_per_panel = 19
panels.append(panel(4.875, 4.875, .25, x_offset=-7.5, y_offset=7.5, rotation=0))
panels[0].place_random_leds(leds_per_panel)
panels[0].add_copy(7.5, 7.5, 0)
panels[0].add_copy(7.5, -7.5, 180)
panels[0].add_copy(-7.5, -7.5, 180)
panels.append(panel(4.875, 4.875, .25, x_offset=-2.5, y_offset=7.5, rotation=0))
panels[1].place_random_leds(leds_per_panel)
panels[1].add_copy(2.5, 7.5, 0)
panels[1].add_copy(2.5, -7.5, 180)
panels[1].add_copy(-2.5, -7.5, 180)
panels.append(panel(4.875, 4.875, .25, x_offset=-7.5, y_offset=2.5, rotation=0))
panels[2].place_random_leds(leds_per_panel)
panels[2].add_copy(7.5, 2.5, 180)
panels[2].add_copy(7.5, -2.5, 180)
panels[2].add_copy(-7.5, -2.5, 0)
panels.append(panel(4.875, 4.875, .25, x_offset=-2.5, y_offset=2.5, rotation=0))
panels[3].place_random_leds(leds_per_panel)
panels[3].add_copy(2.5, 2.5, 90)
panels[3].add_copy(2.5, -2.5, 180)
panels[3].add_copy(-2.5, -2.5, 270)
panels.append(panel(4.875, 4.875, .25, x_offset=-12.5, y_offset=7.5, rotation=0))
panels[4].place_random_leds(leds_per_panel)
panels[4].add_copy(12.5, 7.5, 90)
panels[4].add_copy(12.5, -7.5, 180)
panels[4].add_copy(-12.5, -7.5, 270)
panels.append(panel(4.875, 4.875, .25, x_offset=-12.5, y_offset=2.5, rotation=0))
panels[5].place_random_leds(leds_per_panel)
panels[5].add_copy(12.5, 2.5, 180)
panels[5].add_copy(12.5, -2.5, 180)
panels[5].add_copy(-12.5, -2.5, 0)
'''
g = grow_area(22,22,3)
for p in panels:
g.add_panel(p)
optimizer = flux_optimizer(g)
for i in range(100):
optimizer.optimizer_step(view_angle=view_angle)
print(i)