big-o-notation graph with Python3

big-o-notation.py

#!/usr/bin/env python3
# -*- coding: utf-8 -*-

'''
MIT License

Copyright (c) 2016-2024 Bodo Schönfeld

Permission is hereby granted, free of charge, to any person obtaining a copy of this software
and associated documentation files (the "Software"), to deal in the Software without restriction,
including without limitation the rights to use, copy, modify, merge, publish, distribute,
sublicense, and/or sell copies of the Software, and to permit persons to whom the Software
is furnished to do so, subject to the following conditions:

The above copyright notice and this permission notice shall be included in all copies or
substantial portions of the Software.

THE SOFTWARE IS PROVIDED "AS IS", WITHOUT WARRANTY OF ANY KIND, EXPRESS OR IMPLIED,
INCLUDING BUT NOT LIMITED TO THE WARRANTIES OF MERCHANTABILITY, FITNESS FOR A PARTICULAR
PURPOSE AND NONINFRINGEMENT. IN NO EVENT SHALL THE AUTHORS OR COPYRIGHT HOLDERS BE LIABLE
FOR ANY CLAIM, DAMAGES OR OTHER LIABILITY, WHETHER IN AN ACTION OF CONTRACT, TORT OR OTHERWISE,
ARISING FROM, OUT OF OR IN CONNECTION WITH THE SOFTWARE OR THE USE OR OTHER DEALINGS IN THE SOFTWARE.

big-o-notation.py:
Version: 0.2
Python 3.6
Date created: 22/03/2017
'''

# Big-O   	Name
# 1   		Constant
# log(n)  	Logarithmic
# n   		Linear
# nlog(n) 	Log Linear
# n^2 		Quadratic
# n^3 		Cubic
# 2^n 		Exponential

import numpy as np
import matplotlib.pyplot as plt


# Stylesheets defined in Matplotlib
plt.style.use('bmh')

# Set up runtime comparisons
n = np.linspace(1, 10, 1000)
labels = ['Constant', 'Logarithmic', 'Linear', 'Log Linear', 'Quadratic', 'Cubic', 'Exponential']
big_o = [np.ones(n.shape), np.log(n), n, n * np.log(n), n**2, n**3, 2**n]

# Plot setup
plt.figure(figsize=(12, 10))
plt.ylim(0, 50)

for i in range(len(big_o)):
    plt.plot(n, big_o[i], label=labels[i])

plt.legend(loc=0)
plt.ylabel('Relative Runtime')
plt.xlabel('Input Size')
plt.savefig('big-o-notation.png')