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graph_packet.py
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graph_packet.py
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from datetime import datetime
# Custom stuff
import packet_another_attempt as pkt
import matplotlib
from matplotlib.animation import FuncAnimation, PillowWriter
import numpy as np
from functools import lru_cache
from matplotlib import pyplot
from mpl_toolkits.mplot3d import Axes3D
import evolutionary_algorithm as eva
save_animation, save_as_gif = False, True
current_frame = 0
x_min, x_max, num_points = -10, 10, 8000
#grid = np.linspace(x_min, x_max, num_points)
xo, ko, sigma = -5, 1, 1
fps, dur_of_video, dt = 10, 3, 0.15
total_frames = fps * dur_of_video
calculate_psi = pkt.calculate_psi
calculate_psi_list = pkt.calculate_psi_marseille
t = 0
axs = []
def evolve_psi_list(list_x: list[float], list_k: list[float], list_s: list[float]) -> list[float]:
psi_lists = calculate_psi_list(list_x, list_k, list_s)
"""
Something to flip the matrix around so that the lists of Psi values are 2D.
The value evolves as changes in dx/dt are rate-checked against 1D Lorenz boost.
Rate-checking returns a new 1D array of the same type already, that's the other code.
Final value in the array would be after it evolves toward that, I think.
If it needs an optimizer, the file evolutionary_algorithm.py has a few like Ackley's.
"""
return None
def plot_function(r_min, r_max)->None:
x_axis = np.arange(r_min, r_max, 0.01)
y_axis = np.arange(r_min, r_max, 0.01)
x, y = np.meshgrid(x_axis, y_axis)
results = eva.ackley_result(x, y) # how optimal is the function already with Lorenz boosts added?
x2 = pkt.psi_x(x)
y2 = pkt.psi_x(y)
results2 = np.ndarray([x2, y2])
results3 = eva.ackley_result(x2, y2)
figure = pyplot.figure()
axis = figure.add_subplot(projection='3d')
axis.plot_surface(x2, y2, results, cmap='jet')
pyplot.show()
return None
# Run 3D plot
plot_function(1, 10)
@lru_cache
def get_animation(x: float, k: float, s: float) -> list:
global pylot
plt = pyplot
global t, axs
xo = x
sigma = s
ko = k
w_max = np.power(2*np.pi*sigma**2, -0.25)
not_moving_psi = calculate_psi(t, 0, 0, sigma)
moving_psi = calculate_psi(t, xo, ko, sigma)
matplotlib.rc('animation', html='html5')
plt.style.use('dark_background')
fig, axs = plt.subplots(1, 2, figsize=(12, 8))
plt.subplots_adjust(left=0.05, right=0.98, top=0.95, bottom=0.1, wspace=0.025, hspace=0)
fig.suptitle("1-dim Gaussian Wave Packets", fontsize=20, color='w', x=0.55, y=0.99)
axs[0].set_ylabel(r"|$\psi(x, t={:.1f})$|".format(t), fontdict={"fontsize": 25})
axs[0].set_title(r"$k_o=0$", fontsize=20, x=0.1, y=0.935)
axs[1].set_title(r"$k_o={}$".format(ko), fontsize=20, x=0.1, y=0.935)
for ax in axs:
ax.set_xlim(x_min, x_max)
ax.set_xticks(np.linspace(x_min, x_max, 4, endpoint=False))
ax.set_ylim(-1.1*w_max, 1.1*w_max)
ax.set_yticks([])
not_moving_plot, = axs[0].plot(grid, np.abs(not_moving_psi), '-w', linewidth=3, label=r"|$\psi|$", zorder=3)
not_moving_plot_r, = axs[0].plot(grid, np.real(not_moving_psi), '-r', linewidth=1, label=r"$\Re(\psi)$", zorder=2)
not_moving_plot_i, = axs[0].plot(grid, np.imag(not_moving_psi), '-b', linewidth=1, label=r"$\Im(\psi)$", zorder=1)
moving_plot, = axs[1].plot(grid, np.abs(moving_psi), '-w', linewidth=3, zorder=3)
moving_plot_r, = axs[1].plot(grid, np.real(moving_psi), '-r', linewidth=1, zorder=2)
moving_plot_i, = axs[1].plot(grid, np.imag(moving_psi), '-b', linewidth=1, zorder=1)
for ax in axs:
for side in ["top", "left", "right", "bottom"]:
ax.spines[side].set_linewidth(1)
ax.set_xlabel(r"$X$", fontdict={"fontsize": 15})
axs[0].legend(loc=3)
def update(frame):
global t, axs, current_frame, save_animation, save_as_gif
if current_frame % fps == 0:
print(f"@ {current_frame//fps} second ...")
not_moving_psi = calculate_psi(t, 0, 0, sigma)
moving_psi = calculate_psi(t, xo, ko, sigma)
not_moving_plot.set_ydata(np.abs(not_moving_psi))
not_moving_plot_r.set_ydata(np.real(not_moving_psi))
not_moving_plot_i.set_ydata(np.imag(not_moving_psi))
moving_plot.set_ydata(np.abs(moving_psi))
moving_plot_r.set_ydata(np.real(moving_psi))
moving_plot_i.set_ydata(np.imag(moving_psi))
axs[0].set_ylabel(r"|$\psi(x, t={:.1f}\sigma^2)$|".format(t), fontdict={"fontsize": 20})
t += dt
current_frame += 1
return [not_moving_plot, not_moving_plot_r, not_moving_plot_i,
moving_plot, moving_plot_r, moving_plot_i]
anim = FuncAnimation(fig, update, frames=total_frames, blit=False, repeat=True, interval=1000/fps)
if save_animation:
anim.save("./1dimGaussian.mp4", writer="ffmpeg", fps=fps, dpi=160, bitrate=-1,
metadata={
"title": "1 dimensional Gaussian Wave Packets (with Lorenz boost and conservation rules)",
"artist": "武満世阿弥 TAKEMITSU, Zeami",
"subject": "Quantum Wave Packets, Quantum Gravity, Marseille quantum interpretation"
})
elif save_as_gif:
writer = PillowWriter(fps=fps, metadata={
"title": "1 dimensional Gaussian Wave Packets (with Lorenz boost and conservation rules)",
"artist": "武満世阿弥 TAKEMITSU, Zeami",
"subject": "Quantum Mechanics, Quantum Gravity, Marseille quantum intepretation"})
anim.save('./1dimGaussian.gif', dpi=80, writer=writer)
else:
plt.show()
#get_animation(xo, ko, sigma)