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 [3]:

    
#CHANGE TICK MARKERS

def plot_sine1(a,b):
    x = np.linspace(0,4*np.pi,200)
    y = np.sin(a*x+b)
    plt.plot(x,y)
    ax = plt.gca()
    plt.xlim(0,4*np.pi)
    plt.title('Sine Wave')
    plt.xlabel('X')
    plt.ylabel('Y')
    ax.spines['right'].set_visible(False)
    ax.spines['top'].set_visible(False)
    ax.get_xaxis().tick_bottom()
    ax.axes.get_yaxis().tick_left()
    plt.xticks([np.pi,2* np.pi,3*np.pi,4*np.pi],['0','$\pi$','2$\pi$','3$\pi$'])



In [4]:

    
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 [7]:

    
interact(plot_sine1,a = (0.0,5.0,0.1),b = (-5.0,5.0,0.1))









    Out[7]:





<function __main__.plot_sine1>



In [8]:

    
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 [5]:

    
def plot_sine2(a,b,style):
    x = np.linspace(0,4*np.pi,200)
    y = np.sin(a*x+b)
    plt.plot(x,y,style)
    ax = plt.gca()
    plt.xlim(0,4*np.pi)
    plt.title('Sine Wave')
    plt.xlabel('X')
    plt.ylabel('Y')
    ax.spines['right'].set_visible(False)
    ax.spines['top'].set_visible(False)
    ax.get_xaxis().tick_bottom()
    ax.axes.get_yaxis().tick_left()
    
    plt.xticks([np.pi,2* np.pi,3*np.pi,4*np.pi],['0','$\pi$','2$\pi$','3$\pi$'])



In [6]:

    
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 [7]:

    
interact(plot_sine2,a = (0.0,5.0,0.1),b = (-5.0,5.0,0.1), style = {'blue':'b--', 'black':'ko','red':'r^'})









    Out[7]:





<function __main__.plot_sine2>



In [12]:

    
assert True # leave this for grading the plot_sine2 exercise



In [ ]:



In [ ]:



In [ ]: