Interact Exercise 2

Imports



In [3]:

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



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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: $3\pi$ .



In [5]:

    
# YOUR CODE HERE
#raise NotImplementedError()
def plot_sine1(a,b):
    x = np.arange(0,4*np.pi,0.1)
    plt.plot(x,np.sin(a*x+b))
    plt.xlim(0,np.pi*4)
    plt.tick_params(axis='y', right='off', direction='out')
    plt.tick_params(axis='x', top='off', direction='out')
    plt.title('Sine')
    plt.ylabel('y(x)')
    plt.xlabel('x')
    plt.box(False)
    plt.grid(True)



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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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# YOUR CODE HERE
#raise NotImplementedError()
interact(plot_sine1, a=(0.0,5.0), b = (-5.0,5.0))









    Out[7]:





<function __main__.plot_sine1>



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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 [9]:

    
# YOUR CODE HERE
#raise NotImplementedError()
def plot_sine2(a, b, style):
    t = np.arange(0, 4*np.pi, 0.04)
    plt.plot(t, np.sin(a*t+b), style)
    plt.xlim(0, np.pi*4)
    plt.tick_params(axis='y', right='off', direction='out')
    plt.tick_params(axis='x', top='off', direction='out')
    plt.title('Sine')
    plt.ylabel('y(x)')
    plt.xlabel('x')
    plt.box(False)
    plt.grid(True)



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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 [11]:

    
# YOUR CODE HERE
#raise NotImplementedError()
interact(plot_sine2, a=(0.0,5.0), b=(-5.0,5.0), style={'dotted blue line': 'b--', 'black circles': 'ko','red triangles':'r^'});



In [12]:

    
assert True # leave this for grading the plot_sine2 exercise