pixelserver2/apps/convergence.py

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2024-10-28 17:10:03 +00:00
#!/usr/bin/env python3
import numpy as np
import time
import os
import sys
import colorsys
Nx = int(sys.argv[1])
Ny = int(sys.argv[2])
N = max(Nx, Ny)
def CpxRandNormal(min, max, N):
mu = (min+max)/2
sigma = (max-min)/2
return np.random.normal(mu, sigma, (N, N))+1.0j*np.random.normal(mu, sigma, (N, N))
def CpxRand(min, max, N):
return np.random.uniform(min, max, (N, N))+1.0j*np.random.uniform(min, max, (N, N))
A = CpxRandNormal(-100, 100, N)
B = CpxRand(-1, 1, N)*0.1
C = CpxRand(-1, 1, N)
A_ex = np.linalg.inv(np.eye(N)-B)@C
dir = -1
solve = True
t = 0
while True:
t += 0.003
if solve:
A = 0.9*A+0.1*(B@A+C)
else:
A += CpxRandNormal(0, 0.008, N)
diff = A-A_ex
#angles = (np.angle(diff)+np.pi)/(2*np.pi
#diff = np.abs(diff)
#diff = 1-diff/(1+diff)
a = np.abs(np.real(diff))
a = a/(a+1)
b = np.abs(np.imag(diff))
b = b/(b+1)
img = np.zeros((Ny, Nx, 3))
for x in range(Nx):
for y in range(Ny):
c = colorsys.hsv_to_rgb((t+0.2+a[x, y]*0.2)%1, 1, 0.5*b[x, y]+0.5)
img[y,x,:] = np.array(c)*255
#img[:,:,0] = np.minimum(np.abs(diff*255).astype(int), 255)[:Ny,:Nx]
out = img.reshape((Nx*Ny*3,)).astype(np.uint8)
#A += np.random.uniform(-0.01, 0.01, (N, N))
#print(len(out))
os.write(1, out.tobytes())
if solve and np.sum(np.abs(diff)) <= 0.001*N*N:
solve = False
elif not solve and np.sum(np.abs(diff)) >= 1*N*N:
solve = True
#os.write(2, b"frame")
#print(angles, diff)
time.sleep(0.01)