Sorting Algorithm Tutorials - Herong's Tutorial Examples - 6.12, by Herong Yang
Heap Sort - Performance
This section provides a tutorial on how to measure the performance of the Heap Sort algorithm. My first Java implementation of Heap Sort is performing somewhere between O(N*Log2(N) and O(N*N) order levels.
Now let's see how my Java implementation of the Heap Sort algorithm performs. Here are the results with my SortTest.java class and HyArrays.heapSort() function using JDK 13.
Array size: 100000 Average sorting time: 34 milliseconds Number of tests: 1000 Performance: 0.34 O(N) microseconds Performance: 0.02047003970515072 O(N*Log2(N)) microseconds Performance: 3.4E-6 O(N*N) microseconds Array size: 200000 Average sorting time: 89 milliseconds Number of tests: 1000 Performance: 0.445 O(N) microseconds Performance: 0.0252702490233113 O(N*Log2(N)) microseconds Performance: 2.225E-6 O(N*N) microseconds Array size: 300000 Average sorting time: 168 milliseconds Number of tests: 1000 Performance: 0.56 O(N) microseconds Performance: 0.030778357778105794 O(N*Log2(N)) microseconds Performance: 1.8666666666666667E-6 O(N*N) microseconds
As a reference, results from an older computer are listed below:
Array size: 10000 Average sorting time: 29 milliseconds Number of tests: 1000 Performance: 2.9 O(N) microseconds Performance: 0.21824674685638637 O(N*Log2(N)) microseconds Performance: 2.9E-4 O(N*N) microseconds Array size: 20000 Average sorting time: 76 milliseconds Number of tests: 1000 Performance: 3.8 O(N) microseconds Performance: 0.2659628006957283 O(N*Log2(N)) microseconds Performance: 1.9E-4 O(N*N) microseconds Array size: 30000 Average sorting time: 134 milliseconds Number of tests: 1000 Performance: 4.466666666666667 O(N) microseconds Performance: 0.30032705633819357 O(N*Log2(N)) microseconds Performance: 1.488888888888889E-4 O(N*N) microseconds
Table of Contents
Introduction of Sorting Algorithms
Java API for Sorting Algorithms
Insertion Sort Algorithm and Java Implementation
Selection Sort Algorithm and Java Implementation
Bubble Sort Algorithm and Java Implementation
Quicksort Algorithm and Java Implementation
Merge Sort Algorithm and Java Implementation
►Heap Sort Algorithm and Java Implementation
Heap Sort - Algorithm Introduction
Heap Sort - Java Implementation
Heap Sort - Implementation Improvements
Shell Sort Algorithm and Java Implementation
Sorting Algorithms Implementations in PHP
Sorting Algorithms Implementations in Perl
Sorting Algorithms Implementations in Python