Button for Riemann Zeta Function

[Eliguli]

import numpy as np
import matplotlib.pyplot as plt
import mpmath as mp
import ipywidgets as widgets
from IPython.display import display, clear_output

# Define the range for the imaginary part b
b_val = np.linspace(0, 100, 10000)
zoom_factor = 1.0  # Initial zoom factor

# Function to update the plot based on the value of 'a' and zoom scale
def update_plot(a, scale):
    # Clear the current output to avoid overlap
    clear_output(wait=True)

    global zoom_factor

    zeta_val = [mp.zeta(complex(a, b)) for b in b_val]
    zeta_real = [mp.re(zeta) for zeta in zeta_val]
    zeta_imag = [mp.im(zeta) for zeta in zeta_val]

    plt.figure(figsize=(10, 10))
    plt.plot(zeta_real, zeta_imag, label=f'ζ({a} + bi)')
    plt.title(f'Plot of ζ({a} + bi) in the Complex Plane')
    plt.xlabel('Re(ζ(a + bi))')
    plt.ylabel('Im(ζ(a + bi))')
    plt.grid(True)
    plt.axhline(y=0, color='k', linestyle='--')
    plt.axvline(x=0, color='k', linestyle='--')
    plt.legend()
    plt.xlim([-scale / zoom_factor, scale / zoom_factor])
    plt.ylim([-scale / zoom_factor, scale / zoom_factor])
    plt.show()

# Define the slider for 'a'
a_slider = widgets.FloatSlider(
    value=0.3,
    min=0,
    max=1,
    step=0.001,
    description='a: ',
    continuous_update=True
)

# Define the slider for scale
scale_slider = widgets.FloatSlider(
    value=5,
    min=1,
    max=50,
    step=1,
    description='Scale: ',
    continuous_update=True
)

# Define buttons for zoom in and zoom out
zoom_in_button = widgets.Button(description="Zoom In")
zoom_out_button = widgets.Button(description="Zoom Out")

# Define button click event handlers
def zoom_in(event):
    global zoom_factor
    zoom_factor *= 1.1
    update_plot(a_slider.value, scale_slider.value)

def zoom_out(event):
    global zoom_factor
    zoom_factor /= 1.1
    update_plot(a_slider.value, scale_slider.value)

# Attach event handlers to buttons
zoom_in_button.on_click(zoom_in)
zoom_out_button.on_click(zoom_out)

# Display the sliders and buttons
display(a_slider, scale_slider, zoom_in_button, zoom_out_button)
widgets.interact(update_plot, a=a_slider, scale=scale_slider)

import numpy as np
import matplotlib.pyplot as plt
import mpmath as mp
import ipywidgets as widgets
from IPython.display import display, clear_output

# Define the range for the imaginary part b
b_val = np.linspace(0, 100, 10000)
zoom_factor = 1.0  

# Function to update the plot based on the value of 'a' and zoom scale
def update_plot(a, scale):
    # Clear the current output to avoid overlap
    clear_output(wait=True)

    zeta_val = [mp.zeta(complex(a, b)) for b in b_val]
    zeta_real = [mp.re(zeta) for zeta in zeta_val]
    zeta_imag = [mp.im(zeta) for zeta in zeta_val]

    plt.figure(figsize=(10, 10))
    plt.plot(zeta_real, zeta_imag, label=f'ζ({a} + bi)')
    plt.title(f'Plot of ζ({a} + bi) in the Complex Plane')
    plt.xlabel('Re(ζ(a + bi))')
    plt.ylabel('Im(ζ(a + bi))')
    plt.grid(True)
    plt.axhline(y=0, color='k', linestyle='--')
    plt.axvline(x=0, color='k', linestyle='--')
    plt.legend()
    plt.xlim([-scale * zoom_factor, scale * zoom_factor])
    plt.ylim([-scale * zoom_factor, scale * zoom_factor])
    plt.show()

# Slider for 'a'
a_slider = widgets.FloatSlider(
    value=0.3,
    min=0,
    max=1,
    step=0.001,
    description='a: ',
    continuous_update=True
)

# Slider for scale
scale_slider = widgets.FloatSlider(
    value=5,
    min=1,
    max=50,
    step=1,
    description='Scale: ',
    continuous_update=True
)

# Buttons for zoom in and out
zoom_in_button = widgets.Button(description="Zoom In")
zoom_out_button = widgets.Button(description="Zoom Out")

# Click event handlers
def zoom_in(event):
    global zoom_factor
    zoom_factor /= 1.1 
    update_plot(a_slider.value, scale_slider.value)

def zoom_out(event):
    global zoom_factor
    zoom_factor *= 1.1  
    update_plot(a_slider.value, scale_slider.value)

# Attachments
zoom_in_button.on_click(zoom_in)
zoom_out_button.on_click(zoom_out)

# Plot Display
display(a_slider, scale_slider, zoom_in_button, zoom_out_button)
widgets.interact(update_plot, a=a_slider, scale=scale_slider)