Interact Exercise 2

Imports



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%matplotlib inline
from matplotlib import pyplot as plt
import numpy as np
import math



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from IPython.html.widgets import interact, interactive, fixed
from IPython.display import display









    



:0: FutureWarning: IPython widgets are experimental and may change in the future.

Plotting with parameters

Write a plot_sin1(a, b) function that plots $sin(ax+b)$ over the interval $[0,4\pi]$.

Customize your visualization to make it effective and beautiful.
Customize the box, grid, spines and ticks to match the requirements of this data.
Use enough points along the x-axis to get a smooth plot.
For the x-axis tick locations use integer multiples of $\pi$.
For the x-axis tick labels use multiples of pi using LaTeX: $3\pi$ .



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def plot_sine1(a,b):
    f = plt.figure()
    ax = plt.subplot(111)
    ax.spines['top'].set_visible(False)
    ax.spines['right'].set_visible(False)
    plt.xticks([math.pi, 2*math.pi, 3*math.pi, 4*math.pi], [r'$\pi$',r'$2\pi$',r'$3\pi$',r'$4\pi$'])
    plt.xlabel("x")
    plt.ylabel("Sin(%.1fx+%.1f)"%(a,b))
    plt.plot(np.linspace(0, 4*math.pi, 1000), np.sin(a*np.linspace(0, 4*math.pi, 1000)+b))



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plot_sine1(5, 3.4)

Then use interact to create a user interface for exploring your function:

a should be a floating point slider over the interval $[0.0,5.0]$ with steps of $0.1$.
b should be a floating point slider over the interval $[-5.0,5.0]$ with steps of $0.1$.



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interact(plot_sine1, a=(0.0,5.0,.1), b=(-5.0,5.0,.1))



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assert True # leave this for grading the plot_sine1 exercise

In matplotlib, the line style and color can be set with a third argument to plot. Examples of this argument:

dashed red: r--
blue circles: bo
dotted black: k.

Write a plot_sine2(a, b, style) function that has a third style argument that allows you to set the line style of the plot. The style should default to a blue line.



In [16]:

    
def plot_sine2(a,b,style='b-'):
    f = plt.figure()
    ax = plt.subplot(111)
    ax.spines['top'].set_visible(False)
    ax.spines['right'].set_visible(False)
    plt.xticks([math.pi, 2*math.pi, 3*math.pi, 4*math.pi], [r'$\pi$',r'$2\pi$',r'$3\pi$',r'$4\pi$'])
    plt.xlabel("x")
    plt.ylabel("Sin(%.1fx+%.1f)"%(a,b))
    plt.plot(np.linspace(0, 4*math.pi, 1000), np.sin(a*np.linspace(0, 4*math.pi, 1000)+b), style)



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plot_sine2(4.0, -1.0, 'r--')

Use interact to create a UI for plot_sine2.

Use a slider for a and b as above.
Use a drop down menu for selecting the line style between a dotted blue line line, black circles and red triangles.



In [19]:

    
interact(plot_sine2, a=(0.0,5.0,.1), b=(-5.0,5.0,.1), style={'Dotted Blue Line':'b--', 'Black Circles':'ko', 'Red Triangles':'r^'})



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assert True # leave this for grading the plot_sine2 exercise



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