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big-o-notation graph with Python3
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#!/usr/bin/env python3 | |
# -*- coding: utf-8 -*- | |
''' | |
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') |
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