lissajous.py

import matplotlib.pyplot as plt
import numpy as np
from matplotlib.widgets import Slider
from numpy.linalg import slogdet

plt.style.use('seaborn-v0_8-whitegrid')

# definng the range
x = np.linspace(-10, 10, 100)

# the amplitudes of waves
a = 4  # amplitude of first wave
b = 4

# <-----creating the graph------>
fig, ax = plt.subplots()
plt.subplots_adjust(left=0.1, bottom=0.3)

plot, = plt.plot([], [])

#intialising the plot
def init():
    theta = np.pi/2
    omega = np.pi/4
    t = np.linspace(-4, 4)
    x = a*np.sin(omega*t)
    y = b*np.sin(omega*t+theta)
    plot.set_data(x, y)


init()

#graph decorating
plt.axis('equal')
plt.title("Lissajou's Figures")
plt.xlim(-10, 10)
plt.ylim(-10, 10)

# slider to change ratio of frequency
pos1 = plt.axes([0.1, 0.2, 0.7, 0.03])
slider1 = Slider(pos1, 'w1/w2', valmin=1, valmax=8, valinit=1, valstep=1)

# slider to change the phase difference
pos2 = plt.axes([0.1, 0.14, 0.7, 0.03])
slider2 = Slider(pos2, 'phi', valmin=0, valmax=2*np.pi, valinit=np.pi/2)

#slider to change the ratio of amplitudes 
pos3 = plt.axes([0.1, 0.09, 0.7, 0.03])
slider3 = Slider(pos3, 'a2/a1', valmin=0, valmax=1, valinit=1)

# creating the lisajoo's figure


def circle(val):
    theta = slider2.val
    omega = np.pi/4
    r = slider1.val
    b = a*slider3.val
    t = np.linspace(-4, 4, 600)
    x = a*np.sin(omega*t)
    y = b*np.sin(r*omega*t+theta)
    plot.set_data(x, y)


slider2.on_changed(circle)
slider1.on_changed(circle)
slider3.on_changed(circle)

plt.show()
# <-----x--x---x--x--x----->