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]:

    
def plot_sine1(a,b):
    labels = ['0','$\pi$.','$2\pi$.','$3\pi$.','$4\pi$.']
    x = [0,np.pi,2*np.pi,3*np.pi,4*np.pi]
    t = np.arange(0,4*np.pi,.01);
    plt.figure(figsize=(15,5));
    plt.plot(t,np.sin(a*t+b));
    plt.xlim(0,4*np.pi);
    plt.xticks(x, labels);
    plt.xlabel('x')
    plt.ylabel('sin(ax+b)')
    plt.title('Plot if Sin(ax+b) vs x')
    plt.tick_params(axis='x',top='off')
    plt.tick_params(axis='y',right='off')
    plt.tick_params(axis='x',top='off',direction='out')
    plt.tick_params(axis='y',right='off',direction='out')



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 [5]:

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



In [6]:

    
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 [7]:

    
def plot_sine2(a,b,style):
    labels = ['0','$\pi$.','$2\pi$.','$3\pi$.','$4\pi$.']
    x = [0,np.pi,2*np.pi,3*np.pi,4*np.pi]
    t = np.arange(0,4*np.pi,.1);
    plt.figure(figsize=(15,5));
    plt.plot(t,np.sin(a*t+b),style);
    plt.xlim(0,4*np.pi);
    plt.xticks(x, labels);
    plt.xlabel('x')
    plt.ylabel('y')
    plt.title('Plot if Sin(x) vs x')
    plt.tick_params(axis='x',top='off')
    plt.tick_params(axis='y',right='off')
    plt.tick_params(axis='x',top='off',direction='out')
    plt.tick_params(axis='y',right='off',direction='out')



In [8]:

    
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 [9]:

    
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^'});



In [10]:

    
assert True # leave this for grading the plot_sine2 exercise