Interact Exercise 2

Imports



In [1]:

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



In [2]:

    
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: $3\pi$ .



In [24]:

    
def plot_sine1(a, b, step = .01):
    x = np.arange(0.0, 4*np.pi, step)
    y = [np.sin(a*i + b) for i in x]
    
    xax = np.arange(0.0, 5*np.pi, np.pi)
    xlabs = ["$" + str(i) + "\pi$" for i in range(5)]
    
    plt.plot(x, y, "b-")
    plt.xlim(0,np.pi*4)
    plt.xticks(xax, xlabs)
    plt.xlabel("x")
    plt.ylabel("$\sin(" + str(round(a, 2)) + "x + " + str(round(b, 2)) + ")$")
    plt.title("$\sin(" + str(round(a, 2)) + "x + " + str(round(b, 2)) + ")$")
    
    
    
#raise NotImplementedError()



In [25]:

    
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 $0.1$.



In [26]:

    
interact(plot_sine1, a = (0.0, 5.0, 0.1), b = (-5.0, 5.0, 0.1), step = fixed(.01));
#raise NotImplementedError()



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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 [41]:

    
def plot_sine2(a, b, style = "b-", step = 0.01):
    x = np.arange(0.0, 4*np.pi, step)
    y = [np.sin(a*i + b) for i in x]
    
    xax = np.arange(0.0, 5*np.pi, np.pi)
    xlabs = ["$" + str(i) + "\pi$" for i in range(5)]
    
    plt.plot(x, y, style)
    plt.xlim(0,np.pi*4)
    plt.xticks(xax, xlabs)
    plt.xlabel("x")
    plt.ylabel("$\sin(" + str(round(a, 2)) + "x + " + str(round(b, 2)) + ")$")
    plt.title("$\sin(" + str(round(a, 2)) + "x + " + str(round(b, 2)) + ")$")
    
#raise NotImplementedError()



In [42]:

    
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 [43]:

    
interact(plot_sine2, a = (0.0, 5.0, 0.1), b = (-5.0, 5.0, 0.1), style = {"Dotted Blue Line": "b--", "Black Circles": "ko", "Red Triangles": "r^"}, step = fixed(.01));
#raise NotImplementedError()









    Out[43]:





<function __main__.plot_sine2>



In [ ]:

    
assert True # leave this for grading the plot_sine2 exercise