假设我有以下设置:
int[] vectorUsedForSorting = new int[] { 1,0,2,6,3,4,5 }
int[] vectorToBeSorted = new int[] {1,2,3,4,5,6,7}
使用
vectorToBeSorted
对vectorUsedForSorting
进行排序的最有效/最快的方法是什么?例如,我希望vectorToBeSorted[0]
成为vectorToBeSorted[1]
,因为vectorUsedForSorting
的第一个元素是1
(即vectorToBeSorted[0]
应该变成`vectorToBeSorted[vectorUsedForSorting[0]]
,依此类推)。我的目标是在排序算法完成后将
vectorToBeSorted
设置为[2,1,3,5,6,7,4]
。我希望能很快达到目标。请注意,由于我将对大小为1,000,000或更大的数组进行排序,因此应将计算复杂度作为主要重点。
如果可能的话,我的目标是亚线性时间复杂度。
最佳答案
当性能成为问题并且阵列很大时,您至少必须考虑并行实现(特别是因为此问题令人尴尬地是并行的:不需要太多的工作,并且随着内核数量的增加,应该会产生不错的,接近线性的加速):
import java.util.ArrayList;
import java.util.Arrays;
import java.util.Collections;
import java.util.List;
import java.util.concurrent.Callable;
import java.util.concurrent.ExecutorService;
import java.util.concurrent.Executors;
public class ArrayReordering
{
public static void main(String[] args)
{
basicTest();
performanceTest();
}
private static void basicTest()
{
int[] vectorUsedForSorting = new int[] { 1,0,2,6,3,4,5 };
int[] vectorToBeSorted = new int[] {1,2,3,4,5,6,7};
int[] sortedVectorLinear = new int[vectorToBeSorted.length];
int[] sortedVectorParallel = new int[vectorToBeSorted.length];
sortLinear(vectorUsedForSorting, vectorToBeSorted, sortedVectorLinear);
sortParallel(vectorUsedForSorting, vectorToBeSorted, sortedVectorParallel);
System.out.println("Result Linear "+Arrays.toString(sortedVectorLinear));
System.out.println("Result Parallel "+Arrays.toString(sortedVectorParallel));
}
private static void performanceTest()
{
for (int n=1000000; n<=50000000; n*=2)
{
System.out.println("Run with "+n+" elements");
System.out.println("Creating input data");
int vectorUsedForSorting[] = createVectorUsedForSorting(n);
int vectorToBeSorted[] = new int[n];
for (int i=0; i<n; i++)
{
vectorToBeSorted[i] = i;
}
int[] sortedVectorLinear = new int[vectorToBeSorted.length];
int[] sortedVectorParallel = new int[vectorToBeSorted.length];
long before = 0;
long after = 0;
System.out.println("Running linear");
before = System.nanoTime();
sortLinear(vectorUsedForSorting, vectorToBeSorted, sortedVectorLinear);
after = System.nanoTime();
System.out.println("Duration linear "+(after-before)/1e6+" ms");
System.out.println("Running parallel");
before = System.nanoTime();
sortParallel(vectorUsedForSorting, vectorToBeSorted, sortedVectorParallel);
after = System.nanoTime();
System.out.println("Duration parallel "+(after-before)/1e6+" ms");
//System.out.println("Result Linear "+Arrays.toString(sortedVectorLinear));
//System.out.println("Result Parallel "+Arrays.toString(sortedVectorParallel));
System.out.println("Passed linear? "+
Arrays.equals(vectorUsedForSorting, sortedVectorLinear));
System.out.println("Passed parallel? "+
Arrays.equals(vectorUsedForSorting, sortedVectorParallel));
}
}
private static int[] createVectorUsedForSorting(int n)
{
// Not very elegant, just for a quick test...
List<Integer> indices = new ArrayList<Integer>();
for (int i=0; i<n; i++)
{
indices.add(i);
}
Collections.shuffle(indices);
int vectorUsedForSorting[] = new int[n];
for (int i=0; i<n; i++)
{
vectorUsedForSorting[i] = indices.get(i);
}
return vectorUsedForSorting;
}
private static void sortLinear(
int vectorUsedForSorting[], int vectorToBeSorted[],
int sortedVector[])
{
sortLinear(vectorUsedForSorting, vectorToBeSorted,
sortedVector, 0, vectorToBeSorted.length);
}
static void sortParallel(
final int vectorUsedForSorting[], final int vectorToBeSorted[],
final int sortedVector[])
{
int numProcessors = Runtime.getRuntime().availableProcessors();
int chunkSize = (int)Math.ceil((double)vectorToBeSorted.length / numProcessors);
List<Callable<Object>> tasks = new ArrayList<Callable<Object>>();
ExecutorService executor = Executors.newFixedThreadPool(numProcessors);
for (int i=0; i<numProcessors; i++)
{
final int min = i * chunkSize;
final int max = Math.min(vectorToBeSorted.length, min + chunkSize);
Runnable task = new Runnable()
{
@Override
public void run()
{
sortLinear(vectorUsedForSorting, vectorToBeSorted,
sortedVector, min, max);
}
};
tasks.add(Executors.callable(task));
}
try
{
executor.invokeAll(tasks);
}
catch (InterruptedException e)
{
Thread.currentThread().interrupt();
}
executor.shutdown();
}
private static void sortLinear(
int vectorUsedForSorting[], int vectorToBeSorted[],
int sortedVector[], int min, int max)
{
for (int i = min; i < max; i++)
{
sortedVector[i] = vectorToBeSorted[vectorUsedForSorting[i]];
}
}
}
关于java - 按索引/索引的单独数组对数组排序的最快方法,我们在Stack Overflow上找到一个类似的问题:https://stackoverflow.com/questions/21608646/