我写了一些 java 类来评估/演示不同的排序算法。但是,当我运行我的演示课时,我感到很困惑。希望大家能给我一个解释。(这个问题不是作业。)
首先,我将列出一些与此问题相关的代码。
抽象演示
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);
}
}
排序演示
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();
}
}
跑表
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;
}
}
生成随机数组的方法
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;
}
你可以看到,我生成了一个包含 20000 个元素的 int 数组。因为我在 getRandomIntArray 方法中有一个固定的种子,所以每次调用它时我总是有相同的数组。SortingDemo 类有 main 方法,如果我运行这个类,我会得到输出:
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.
---------------------------------------------
看起来不错。现在出现了让我感到困惑的事情。如果我在 SortingDemo 中更改 demoList.add() 序列,请说:
demoList.add(new InsertionSort());
demoList.add(new SelectionSort());
demoList.add(new BubbleSort());
// OptimizedMergeSort before Mergesort
demoList.add(new OptimizedMergeSort());
demoList.add(new MergeSort());
我有:
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.
---------------------------------------------
为什么输出与第一次运行不同?OptimizedMergeSort 花费的时间比正常的 MergeSort 长...
如果我for (int x=1; x<6; x++)
在 SortingDemo 中取消注释该行,(使用相同的 Array 运行测试 5 次)我得到:
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.
---------------------------------------------
对于其他排序,结果看起来很合理。但是对于mergeSort,为什么第一次运行比以后花费更长的时间?OptimizedMergeSort 为 37 毫秒:4 毫秒。
我认为即使 Optimized/MergeSort 的实现是错误的,输出应该保持不变,为什么有时相同的方法调用需要更长的时间,有时更短的时间?
作为信息,所有这些 *Sort 类都扩展了一个超级抽象类 Sorting。它有一个抽象方法void sort(int[] data)
MergeSort 有mergeSorting
方法和 merge() 方法。OptimizedMergeSort 扩展了 MergeSort,并覆盖mergeSorting()
了方法,(因为当数组大小<=7 时,它会进行插入排序)并重用类中的merge()
方法MergeSort
。
感谢您阅读这么长的文本和代码。如果你们能给我一些解释,我很感激。
所有测试都是在 Eclipse 下的 linux 下完成的。