I wrote some java classes, to evaluate/demo different Sorting algorithms. However I got confused when I run my demo class. Hope you guys can give me an explanation. (this question is NOT a homework.)
First I would list some codes related to this question.
AbstractDemo
public abstract class AbstractDemo {
protected final int BIG_ARRAY_SIZE = 20000;
protected final int SMALL_ARRAY_SIZE = 14;
protected Stopwatch stopwatch = new Stopwatch();
public final void doDemo() {
prepareDemo();
specificDemo();
}
protected abstract void prepareDemo();
protected abstract void specificDemo();
protected final void printInfo(final String text) {
System.out.println(text);
}
}
SortingDemo
public class SortingDemo extends AbstractDemo {
private static final String FMT = "%-10s| %-21s| %7s ms.";
private static final String SPL = AlgUtil.lineSeparator('-', 45);
private static final String SPLT = AlgUtil.lineSeparator('=', 45);
private int[] data;
private final List<Sorting> demoList = new LinkedList<Sorting>();
@Override
protected void specificDemo() {
int[] testData;
//*** this comment is interesting!!! for (int x = 1; x < 6; x++) {
printInfo(String.format("Sorting %7s elements", data.length));
printInfo(SPLT);
for (final Sorting sort : demoList) {
// here I made a copy of the original Array, avoid to sort an already sorted array.
testData = new int[data.length];
System.arraycopy(data, 0, testData, 0, data.length);
stopwatch.start();
// sort
sort.sort(testData);
stopwatch.stop();
printInfo(String.format(FMT, sort.getBigO(), sort.getClass().getSimpleName(), stopwatch.read()));
printInfo(SPL);
testData = null;
stopwatch.reset();
}
//}
}
@Override
protected void prepareDemo() {
data = AlgUtil.getRandomIntArray(BIG_ARRAY_SIZE, BIG_ARRAY_SIZE * 5, false);
demoList.add(new InsertionSort());
demoList.add(new SelectionSort());
demoList.add(new BubbleSort());
demoList.add(new MergeSort()); //here is interesting too
demoList.add(new OptimizedMergeSort());
}
public static void main(final String[] args) {
final AbstractDemo sortingDemo = new SortingDemo();
sortingDemo.doDemo();
}
}
Stopwatch
public class Stopwatch {
private boolean running;
private long startTime;
private long elapsedMillisec;
public void start() {
if (!running) {
this.startTime = System.currentTimeMillis();
running = true;
} else {
throw new IllegalStateException("the stopwatch is already running");
}
}
public void stop() {
if (running) {
elapsedMillisec = System.currentTimeMillis() - startTime;
running = false;
} else {
throw new IllegalStateException("the stopwatch is not running");
}
}
public void reset() {
elapsedMillisec = 0;
}
public long read() {
if (running) {
elapsedMillisec = System.currentTimeMillis() - startTime;
}
return this.elapsedMillisec;
}
}
method to generate the random array
public static int[] getRandomIntArray(final int len, final int max, boolean allowNegative) {
final int[] intArray = new int[len];
final Random rand = new Random();
rand.setSeed(20100102);
if (!allowNegative) {
if (max <= 0) {
throw new IllegalArgumentException("max must be possitive if allowNegative false");
}
for (int i = 0; i < intArray.length; i++) {
intArray[i] = rand.nextInt(max);
}
} else {
int n;
int i = 0;
while (i < len) {
n = rand.nextInt();
if (n < max) {
intArray[i] = n;
i++;
}
}
}
return intArray;
}
you can see, I generate an int array, with 20000 elements. And since I have a fixed seed in the getRandomIntArray method, I have always the same array every time I call it. The class SortingDemo has main method, if I run this class, I got output:
Sorting 20000 elements
=============================================
O(n^2) | InsertionSort | 101 ms.
---------------------------------------------
O(n^2) | SelectionSort | 667 ms.
---------------------------------------------
O(n^2) | BubbleSort | 1320 ms.
---------------------------------------------
O(nlog(n))| MergeSort | 39 ms.
---------------------------------------------
O(?) | OptimizedMergeSort | 11 ms.
---------------------------------------------
looks ok. Now comes something that made me confused. If I change the demoList.add() sequence in SortingDemo, say:
demoList.add(new InsertionSort());
demoList.add(new SelectionSort());
demoList.add(new BubbleSort());
// OptimizedMergeSort before Mergesort
demoList.add(new OptimizedMergeSort());
demoList.add(new MergeSort());
I got:
Sorting 20000 elements
=============================================
O(n^2) | InsertionSort | 103 ms.
---------------------------------------------
O(n^2) | SelectionSort | 676 ms.
---------------------------------------------
O(n^2) | BubbleSort | 1313 ms.
---------------------------------------------
O(?) | OptimizedMergeSort | 41 ms.
---------------------------------------------
O(nlog(n))| MergeSort | 14 ms.
---------------------------------------------
why the output is different from the first run? OptimizedMergeSort took longer than normal MergeSort...
And if I uncomment the for (int x=1; x<6; x++)
line in SortingDemo, (run the test with same Array 5 times) I got:
Sorting 20000 elements
=============================================
O(n^2) | InsertionSort | 101 ms.
---------------------------------------------
O(n^2) | SelectionSort | 668 ms.
---------------------------------------------
O(n^2) | BubbleSort | 1311 ms.
---------------------------------------------
O(?) | OptimizedMergeSort | 37 ms.
---------------------------------------------
O(nlog(n))| MergeSort | 10 ms.
---------------------------------------------
Sorting 20000 elements
=============================================
O(n^2) | InsertionSort | 94 ms.
---------------------------------------------
O(n^2) | SelectionSort | 665 ms.
---------------------------------------------
O(n^2) | BubbleSort | 1308 ms.
---------------------------------------------
O(?) | OptimizedMergeSort | 5 ms.
---------------------------------------------
O(nlog(n))| MergeSort | 7 ms.
---------------------------------------------
Sorting 20000 elements
=============================================
O(n^2) | InsertionSort | 116 ms.
---------------------------------------------
O(n^2) | SelectionSort | 318 ms.
---------------------------------------------
O(n^2) | BubbleSort | 969 ms.
---------------------------------------------
O(?) | OptimizedMergeSort | 5 ms.
---------------------------------------------
O(nlog(n))| MergeSort | 10 ms.
---------------------------------------------
Sorting 20000 elements
=============================================
O(n^2) | InsertionSort | 116 ms.
---------------------------------------------
O(n^2) | SelectionSort | 319 ms.
---------------------------------------------
O(n^2) | BubbleSort | 964 ms.
---------------------------------------------
O(?) | OptimizedMergeSort | 5 ms.
---------------------------------------------
O(nlog(n))| MergeSort | 5 ms.
---------------------------------------------
Sorting 20000 elements
=============================================
O(n^2) | InsertionSort | 116 ms.
---------------------------------------------
O(n^2) | SelectionSort | 320 ms.
---------------------------------------------
O(n^2) | BubbleSort | 963 ms.
---------------------------------------------
O(?) | OptimizedMergeSort | 4 ms.
---------------------------------------------
O(nlog(n))| MergeSort | 6 ms.
---------------------------------------------
For other sortings, the result looks reasonable. but for mergeSort, why the 1st time run took much longer time than later? 37ms:4ms for OptimizedMergeSort.
I think even if the implementation of Optimized/MergeSort was wrong, the output should keep the same, why sometime same method call takes longer time, sometime shorter time?
As info, all those *Sort class extends a super abstract class Sorting. it has an abstract method void sort(int[] data)
MergeSort has mergeSorting
method and merge() method.
OptimizedMergeSort extends MergeSort, and override mergeSorting()
method, (since when array size<=7, it is gonna do insertionSort) and reuse the merge()
method from MergeSort
class.
Thanks for reading through this long text and codes. I appreciate if you guys can give me some explanations.
All tests were done in Eclipse under linux.