Quadratic equations with ipywidgets

A simple demo of an interactive app for solving a quadratic equation, implemented with quiby ipywidgets.

• Features:

  • Quiby ipywidgets

  • Graphics quibs

  • Inverse assignments

• Try me:

  • Try setting the a, b, c coefficients of the quadratic equation.

from pyquibbler import iquib, initialize_quibbler, q
initialize_quibbler()

import matplotlib.pyplot as plt
import numpy as np
import ipywidgets as ipyw
import warnings

# Note: running in widget mode requires installing pip install ipympl
%matplotlib widget

# define parameters:
a = iquib(2.)
b = iquib(1.)
c = iquib(-5.)

# define solutions for the quadratic equation:
solution1 = (-b + np.sqrt(b**2 - 4*a*c)) / (2*a)
solution2 = (-b - np.sqrt(b**2 - 4*a*c)) / (2*a)

# define the quadratic curve:
x = np.linspace(-10, 10, 100)
y = a * x**2 + b*x + c

# capture figure into an Output ipywidget:
output = ipyw.Output()
with output, warnings.catch_warnings():
    # avoid warning on negative sqrt:
    warnings.simplefilter("ignore")

    # prepare figure
    fig = plt.figure(figsize=(3, 2))
    fig.canvas.header_visible = False
    fig.canvas.resizable = False
    ax = plt.gca()
    ax.axis([-10, 10, -10, 10])
    ax.grid()

    # plot the quadratic line and the solutions:
    ax.plot(x, y, 'blue', linewidth=1)
    ax.plot([solution1, solution2], [0, 0], 'ro')

    plt.show()

# Show the quibs, the solutiions and the graph as ipywidgets:
ipyw.VBox([
    ipyw.FloatSlider(a, description='a', min=-10, max=10),
    ipyw.FloatSlider(b, description='b', min=-10, max=10),
    ipyw.FloatSlider(c, description='c', min=-10, max=10),
    ipyw.Label(q('Solution 1: {:6.3f}'.format, solution1)),
    ipyw.Label(q('Solution 2: {:6.3f}'.format, solution2)),
    output
])

VBox(children=(FloatSlider(value=2.0, description='a', max=10.0, min=-10.0), FloatSlider(value=1.0, descriptio…