InteractEx02


Interact Exercise 2

Imports


In [3]:
%matplotlib inline
from matplotlib import pyplot as plt
import numpy as np

In [4]:
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]:
def plot_sine1(a,b):
    plt.figure(figsize=(15,2))
    x = np.linspace(0,4 * np.pi,200)
    plt.plot(x,np.sin((a*x)+b))
    plt.title('Sine Plot')
    plt.xticks([0,np.pi,2*np.pi,3*np.pi,4*np.pi],['0','$\pi$','$2\pi$','$3\pi$','$4\pi$'])
    plt.grid(True)
    plt.box(False)
    plt.xlabel('Interval of pi')
    plt.ylabel('Sin(ax + b)')
    plt.xlim(0,4*np.pi);

In [6]:
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 = (-5.0,5.5,0.1));



In [22]:
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 [32]:
def plot_sine2(a,b,style='b'):
    plt.figure(figsize=(15,2))
    x = np.linspace(0,4 * np.pi,200)
    plt.plot(x,np.sin((a*x)+b),style)
    plt.title('Sine Plot')
    plt.xticks([0,np.pi,2*np.pi,3*np.pi,4*np.pi],['0','$\pi$','$2\pi$','$3\pi$','$4\pi$'])
    plt.grid(True)
    plt.box(False)
    plt.xlabel('Interval of pi')
    plt.ylabel('Sin(ax + b)')
    plt.xlim(0,4*np.pi);

In [35]:
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 [30]:
interact(plot_sine2 , a = (0.0,5.0,0.1) , b = (-5.0,5.0,0.1) , style = {'Blue dotted': 'b.' , 'Black circles': 'ko' , 'Red triangles': 'r^'});



In [31]:
assert True # leave this for grading the plot_sine2 exercise