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main.py
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244 lines (218 loc) · 9.14 KB
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import time
start_time = time.time()
import numpy as np
import os
import sys
from nematics import dirich_sparse_matrix, export_plot, w_boundary, update, sparse_solver, initial, defect_detector
from CONSTANTS import mesh_size, frame_step, defs_loc
from scipy.spatial.distance import cdist
import warnings
warnings.filterwarnings("ignore")
import re
def sorted_alphanumeric(data):
convert = lambda text: int(text) if text.isdigit() else text.lower()
alphanum_key = lambda key: [ convert(c) for c in re.split('([0-9]+)', key) ]
return sorted(data, key=alphanum_key)
def simulate(sim_time=-1):
folder_name = 'results'
if not os.path.exists(folder_name):
os.mkdir(folder_name)
sparse_matrix = dirich_sparse_matrix()
q_temp, c_temp, w_temp = initial()
old_defs = np.array([[d[0], d[1]] for d in defs_loc])
q = q_temp
c = c_temp
w = w_temp
w_rk = np.zeros((4,mesh_size[0],mesh_size[1]))
q_rk = np.zeros((4,mesh_size[0],mesh_size[1],2))
c_rk = np.zeros((4,mesh_size[0],mesh_size[1]))
X , Y = np.mgrid[-0:mesh_size[0] , -0:mesh_size[1]]
export_plot(0,q,w,c,X,Y,sparse_matrix)
if sim_time>1:
for t in range(1,frame_step):
psi = sparse_solver(w , sparse_matrix)
# rk1
w_temp = w_boundary(w_temp,psi)
w_rk[0], q_rk[0], c_rk[0] = update(q_temp, c_temp, w_temp, psi)
w_temp = w + w_rk[0] / 2
q_temp = q + q_rk[0] / 2
c_temp = c + c_rk[0] / 2
# rk2
w_temp = w_boundary(w_temp,psi)
w_rk[1], q_rk[1], c_rk[1] = update(q_temp, c_temp, w_temp, psi)
w_temp = w + w_rk[1] / 2
q_temp = q + q_rk[1] / 2
c_temp = c + c_rk[1] / 2
# rk3
w_temp = w_boundary(w_temp,psi)
w_rk[2], q_rk[2], c_rk[2] = update(q_temp, c_temp, w_temp, psi)
w_temp = w + w_rk[2]
q_temp = q + q_rk[2]
c_temp = c + c_rk[2]
# rk4
w_temp = w_boundary(w_temp,psi)
w_rk[3], q_rk[3], c_rk[3] = update(q_temp, c_temp, w_temp, psi)
# rk sum
q_temp = q + (q_rk[0] + 2 * q_rk[1] + 2 * q_rk[2] + q_rk[3])/6
w_temp = w + (w_rk[0] + 2 * w_rk[1] + 2 * w_rk[2] + w_rk[3])/6
c_temp = c + (c_rk[0] + 2 * c_rk[1] + 2 * c_rk[2] + c_rk[3])/6
q = q_temp
w = w_temp
c = c_temp
old_defs = defect_detector(q)
tracers = []
for i in range(len(defs_loc)):
tracers.append(open("defect_"+str(i+1)+".gnumeric", "w"))
for t in range(frame_step,sim_time+1):
psi = sparse_solver(w , sparse_matrix)
# rk1
w_temp = w_boundary(w_temp,psi)
w_rk[0], q_rk[0], c_rk[0] = update(q_temp, c_temp, w_temp, psi)
w_temp = w + w_rk[0] / 2
q_temp = q + q_rk[0] / 2
c_temp = c + c_rk[0] / 2
# rk2
w_temp = w_boundary(w_temp,psi)
w_rk[1], q_rk[1], c_rk[1] = update(q_temp, c_temp, w_temp, psi)
w_temp = w + w_rk[1] / 2
q_temp = q + q_rk[1] / 2
c_temp = c + c_rk[1] / 2
# rk3
w_temp = w_boundary(w_temp,psi)
w_rk[2], q_rk[2], c_rk[2] = update(q_temp, c_temp, w_temp, psi)
w_temp = w + w_rk[2]
q_temp = q + q_rk[2]
c_temp = c + c_rk[2]
# rk4
w_temp = w_boundary(w_temp,psi)
w_rk[3], q_rk[3], c_rk[3] = update(q_temp, c_temp, w_temp, psi)
# rk sum
q_temp = q + (q_rk[0] + 2 * q_rk[1] + 2 * q_rk[2] + q_rk[3])/6
w_temp = w + (w_rk[0] + 2 * w_rk[1] + 2 * w_rk[2] + w_rk[3])/6
c_temp = c + (c_rk[0] + 2 * c_rk[1] + 2 * c_rk[2] + c_rk[3])/6
q = q_temp
w = w_temp
c = c_temp
if (t%frame_step == 0):
new_defs = defect_detector(q)
try:
dists = cdist(old_defs, new_defs)
old_defs = new_defs[dists.argmin(axis=1)]
for i in range(len(old_defs)):
tracers[i].write(str(t)+' '+str(old_defs[i,0])+' '+str(old_defs[i,1])+'\n')
export_plot(t,q,w,c,X,Y,sparse_matrix)
print(t)
except ValueError: # It means there are no more defects
old_defs = []
export_plot(t,q,w,c,X,Y,sparse_matrix)
print(t)
print("No more defects, terminating simulation...")
break
for i in range(len(tracers)):
tracers[i].close()
elif sim_time==-1:
is_defect = True
for t in range(1,frame_step):
psi = sparse_solver(w , sparse_matrix)
# rk1
w_temp = w_boundary(w_temp,psi)
w_rk[0], q_rk[0], c_rk[0] = update(q_temp, c_temp, w_temp, psi)
w_temp = w + w_rk[0] / 2
q_temp = q + q_rk[0] / 2
c_temp = c + c_rk[0] / 2
# rk2
w_temp = w_boundary(w_temp,psi)
w_rk[1], q_rk[1], c_rk[1] = update(q_temp, c_temp, w_temp, psi)
w_temp = w + w_rk[1] / 2
q_temp = q + q_rk[1] / 2
c_temp = c + c_rk[1] / 2
# rk3
w_temp = w_boundary(w_temp,psi)
w_rk[2], q_rk[2], c_rk[2] = update(q_temp, c_temp, w_temp, psi)
w_temp = w + w_rk[2]
q_temp = q + q_rk[2]
c_temp = c + c_rk[2]
# rk4
w_temp = w_boundary(w_temp,psi)
w_rk[3], q_rk[3], c_rk[3] = update(q_temp, c_temp, w_temp, psi)
# rk sum
q_temp = q + (q_rk[0] + 2 * q_rk[1] + 2 * q_rk[2] + q_rk[3])/6
w_temp = w + (w_rk[0] + 2 * w_rk[1] + 2 * w_rk[2] + w_rk[3])/6
c_temp = c + (c_rk[0] + 2 * c_rk[1] + 2 * c_rk[2] + c_rk[3])/6
q = q_temp
w = w_temp
c = c_temp
old_defs = defect_detector(q)
tracers = []
for i in range(len(defs_loc)):
tracers.append(open("defect_"+str(i+1)+".gnumeric", "w"))
while(is_defect):
t+=1
psi = sparse_solver(w , sparse_matrix)
# rk1
w_temp = w_boundary(w_temp,psi)
w_rk[0], q_rk[0], c_rk[0] = update(q_temp, c_temp, w_temp, psi)
w_temp = w + w_rk[0] / 2
q_temp = q + q_rk[0] / 2
c_temp = c + c_rk[0] / 2
# rk2
w_temp = w_boundary(w_temp,psi)
w_rk[1], q_rk[1], c_rk[1] = update(q_temp, c_temp, w_temp, psi)
w_temp = w + w_rk[1] / 2
q_temp = q + q_rk[1] / 2
c_temp = c + c_rk[1] / 2
# rk3
w_temp = w_boundary(w_temp,psi)
w_rk[2], q_rk[2], c_rk[2] = update(q_temp, c_temp, w_temp, psi)
w_temp = w + w_rk[2]
q_temp = q + q_rk[2]
c_temp = c + c_rk[2]
# rk4
w_temp = w_boundary(w_temp,psi)
w_rk[3], q_rk[3], c_rk[3] = update(q_temp, c_temp, w_temp, psi)
# rk sum
q_temp = q + (q_rk[0] + 2 * q_rk[1] + 2 * q_rk[2] + q_rk[3])/6
w_temp = w + (w_rk[0] + 2 * w_rk[1] + 2 * w_rk[2] + w_rk[3])/6
c_temp = c + (c_rk[0] + 2 * c_rk[1] + 2 * c_rk[2] + c_rk[3])/6
q = q_temp
w = w_temp
c = c_temp
if (t%frame_step == 0):
new_defs = defect_detector(q)
try:
dists = cdist(old_defs, new_defs)
old_defs = new_defs[dists.argmin(axis=1)]
for i in range(len(old_defs)):
tracers[i].write(str(t)+' '+str(old_defs[i,0])+' '+str(old_defs[i,1])+'\n')
except ValueError: # It means there are no more defects
old_defs = []
export_plot(t,q,w,c,X,Y,sparse_matrix)
n_defs = len(old_defs)
is_defect = n_defs>0
print("%s, #defects: %s"%(t, n_defs))
for i in range(len(tracers)):
tracers[i].close()
if __name__ == '__main__':
t=-1
if len(sys.argv)>1:
t=int(sys.argv[1])
simulate(sim_time = t)
if len(sys.argv)>2:
print("Generating animation...")
from cv2 import cv2
import os
from tqdm import tqdm
image_folder = 'results'
video_name = sys.argv[2]+'.mp4'
images = [img for img in os.listdir(image_folder) if img.endswith(".png")]
images = sorted_alphanumeric(images)
frame = cv2.imread(os.path.join(image_folder, images[0]))
height, width, layers = frame.shape
video = cv2.VideoWriter(video_name,cv2.VideoWriter_fourcc(*'MP4V'), 10, (width,height))
for image in tqdm(images):
video.write(cv2.imread(os.path.join(image_folder, image)))
cv2.destroyAllWindows()
video.release()
with open('initial.txt', 'w') as f:
f.write(str(defs_loc))
print("--- %s seconds ---" % round(time.time() - start_time))