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

# Create the initial parameters for the sine wave
initial_amplitude = 1.0
initial_frequency = 1.0
initial_phase = 0.0

t = np.linspace(0, 2 * np.pi, 1000)  # Time values
def sine_wave(t, amplitude, frequency, phase):
    return amplitude * np.sin(frequency * t + phase)

# Create the initial sine wave
y = sine_wave(t, initial_amplitude, initial_frequency, initial_phase)

# Set up the figure and axis
fig, ax = plt.subplots()
plt.subplots_adjust(bottom=0.3)  # Adjust space for sliders

line, = ax.plot(t, y, lw=2)
ax.set_title('Interactive Sine Wave Demonstration')
ax.set_xlabel('Time')
ax.set_ylabel('Amplitude')
ax.grid(True)
ax.set_ylim(-2, 2)

# Define sliders
ax_amp = plt.axes([0.2, 0.2, 0.65, 0.03], facecolor='lightgray')
ax_freq = plt.axes([0.2, 0.15, 0.65, 0.03], facecolor='lightgray')
ax_phase = plt.axes([0.2, 0.1, 0.65, 0.03], facecolor='lightgray')

slider_amp = Slider(ax_amp, 'Amplitude', 0.1, 2.0, valinit=initial_amplitude)
slider_freq = Slider(ax_freq, 'Frequency', 0.1, 5.0, valinit=initial_frequency)
slider_phase = Slider(ax_phase, 'Phase', 0.0, 2 * np.pi, valinit=initial_phase)

# Update function for sliders
def update(val):
    amplitude = slider_amp.val
    frequency = slider_freq.val
    phase = slider_phase.val
    line.set_ydata(sine_wave(t, amplitude, frequency, phase))
    fig.canvas.draw_idle()

# Connect sliders to update function
slider_amp.on_changed(update)
slider_freq.on_changed(update)
slider_phase.on_changed(update)

# Display the interactive plot
plt.show()