Interact Exercise 2

Imports



In [4]:

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



In [5]:

    
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 [31]:

    
def plot_sine1(a,b):
    x = np.arange(0, 4*np.pi,.01)
    plt.plot(x, np.sin(a*x + b))
    plt.xlim(0,4*np.pi)
    plt.ylim(-1.1, 1.1)
    plt.xlabel("x")
    plt.xticks(np.arange(0,5)*np.pi, ['0','$\pi$', '$2\pi$', '$3\pi$', '$4\pi$'])
    plt.ylabel("$f(x)$")
    plt.title("$f(x) = \sin(ax+b)$")
     
# there's got to be a more slick way to paste labels



In [26]:

    
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 [32]:

    
interact(plot_sine1, a = (0.,5.,.1), b=(-5.,5.,.1));



In [ ]:

    
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 [34]:

    
def plot_sine2(a,b,style):
    x = np.arange(0, 4*np.pi,.01)
    plt.plot(x, np.sin(a*x + b),style)
    plt.xlim(0,4*np.pi)
    plt.ylim(-1.1, 1.1)
    plt.xlabel("x")
    plt.xticks(np.arange(0,5)*np.pi, ['0','$\pi$', '$2\pi$', '$3\pi$', '$4\pi$'])
    plt.ylabel("$f(x)$")
    plt.title("$f(x) = \sin(ax+b)$")



In [42]:

    
plot_sine2(4.0, -1.0, 'r--')
mem = {'x':"apple", 'y':"peach"}
mem









    Out[42]:





{'x': 'apple', 'y': 'peach'}

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 [53]:

    
interact(plot_sine2, a = (0.,5.,.1), b=(-5.,5.,.1), \
         style = {"dotted blue line":'b.', "black circles":'ko', "red triangles":"r2"});



In [ ]:

    
assert True # leave this for grading the plot_sine2 exercise