【问题标题】:Java: Efficient method to append N 2d arrays into a single 2d arrayJava:将 N 个 2d 数组附加到单个 2d 数组中的有效方法
【发布时间】:2017-02-05 00:00:55
【问题描述】:

提前感谢您的帮助。

我有 N 个具有完全相同尺寸的二维数组。我想将这些组合成一个二维数组。下面是一个只有 2 个二维数组的例子

array1 = [[1 2]
          [3 4]
          [5 6]]

array2 = [[7 8]
          [9 1]
          [2 3]]

result = [[1 2 7 8]
          [3 4 9 1]
          [5 6 2 3]]

最有效的方法是什么?这些数组可能非常大,在某些情况下大约为 20x10000。天真的方法是使用 for 循环,但这肯定是低效的,特别是因为我想相当频繁地执行此操作。我怀疑我也可以在构建方法中使用一些java(可能是Arrays类?)。但是,可能有许多不同的方法可以做到这一点。考虑到这一点,最有效的方法是什么?

【问题讨论】:

  • 你可以做一些索引技巧来访问初始数组并避免数组复制
  • 你仍然需要一个外部循环,但是System.arraycopy(),或者正如你所提到的,Array 类的任何方法都应该证明既干净又高效。
  • 解决这个问题的一个好方法是将每个数组转换为一个流,将它们连接成一个大流,如果需要一个数组作为输出,只需使用 Stream#toArray。
  • @JacobG。这实际上会比使用 System.arraycopy 或 Array.copyofrange 和 for 循环更有效吗?
  • 视情况而定。如果你愿意牺牲秩序,这些操作可以并行完成。数组是否总是 2x3?

标签: java arrays performance multidimensional-array


【解决方案1】:

数组可以解释为具有行和列的矩阵。目标是创建一个结果矩阵,其中每一行是所有输入矩阵的相应行的串联。

对于每一行,这基本上可以分为两个步骤:

  • 从所有输入数组中选择相应的行
  • 将这些行组合成一个结果行

所以问题的核心是:将多个数组连接成一个数组最有效的方法是什么? (反过来, 可以看作是对以下问题的概括:连接 两个 数组的最有效方法是什么?)

对于原始数组(例如,int[] 数组),我可以想到三种基本方法:

  • 使用System.arraycopy

    private static int[] combineWithArraycopy(int[]... arrays)
    {
        // Assuming the same length for all arrays!
        int length = arrays[0].length;
        int result[] = new int[arrays.length * length];
        for (int i = 0; i < arrays.length; i++)
        {
            System.arraycopy(arrays[i], 0, result, i * length, length);
        }
        return result;
    }
    
  • 使用IntBuffer

    private static int[] combineWithBuffer(int[]... arrays)
    {
        // Assuming the same length for all arrays!
        int length = arrays[0].length;
        int result[] = new int[arrays.length * length];
        IntBuffer buffer = IntBuffer.wrap(result);
        for (int i = 0; i < arrays.length; i++)
        {
            buffer.put(arrays[i]);
        }
        return result;
    }
    
  • 使用IntStream

    private static int[] combineWithStreams(int[] ... arrays)
    {
        return Stream.of(arrays).flatMapToInt(IntStream::of).toArray();
    }
    

凭直觉,我会押注System.arraycopy。它基本上没有开销,归结为计算机可以执行的最基本操作之一完全 - 即:从这里复制内存到那里。


旁注:在您的特定情况下,还有另一种可能的优化选项。即,对所有行并行调用此方法。但由于该操作完全受内存限制,并且内存传输速度在很大程度上与 CPU 数量无关,因此这可能没有明显影响。


这是一个比较这三种方法的示例。

这不是一个完全可靠的基准

但它考虑了一些微基准测试最佳实践,并粗略估计了人们可以预期的性能:

import java.nio.IntBuffer;
import java.util.ArrayList;
import java.util.Arrays;
import java.util.List;
import java.util.Locale;
import java.util.concurrent.Callable;
import java.util.concurrent.ExecutorService;
import java.util.concurrent.Executors;
import java.util.concurrent.LinkedBlockingQueue;
import java.util.concurrent.ThreadPoolExecutor;
import java.util.concurrent.TimeUnit;
import java.util.function.Function;
import java.util.stream.IntStream;
import java.util.stream.Stream;

public class ArraycopyStreamPerformance
{
    public static void main(String[] args)
    {
        basicTest();

        int runs = 100;
        int minNum = 2;
        int maxNum = 8;
        int minRows = 2;
        int maxRows = 20;
        int minCols = 100;
        int maxCols = 10000;
        for (int num = minNum; num <= maxNum; num *= 2)
        {
            for (int rows = minRows; rows <= maxRows; rows += 2)
            {
                for (int cols = minCols; cols <= maxCols; cols *= 10)
                {
                    runTest(num, rows, cols, runs);
                }
            }
        }
    }

    private static void runTest(int num, int rows, int cols, int runs)
    {
        int arrays[][][] = new int[num][rows][cols];

        long before = 0;
        long after = 0;

        int blackHole = 0;

        // arraycopy
        before = System.nanoTime();
        for (int i = 0; i < runs; i++)
        {
            int resultA[][] = combineRows(
                ArraycopyStreamPerformance::combineWithArraycopy, arrays);
            blackHole += resultA[0][0];
        }
        after = System.nanoTime();

        System.out.printf(Locale.ENGLISH, 
            "%2d arrays, %3d rows, %6d cols, arraycopy         : %8.3fms\n", 
            num, rows, cols, (after - before) / 1e6);


        // arraycopy parallel
        before = System.nanoTime();
        for (int i = 0; i < runs; i++)
        {
            int resultA[][] = combineRowsParallel(
                ArraycopyStreamPerformance::combineWithArraycopy, arrays);
            blackHole += resultA[0][0];
        }
        after = System.nanoTime();

        System.out.printf(Locale.ENGLISH, 
            "%2d arrays, %3d rows, %6d cols, arraycopy parallel: %8.3fms\n", 
            num, rows, cols, (after - before) / 1e6);


        // buffer
        before = System.nanoTime();
        for (int i = 0; i < runs; i++)
        {
            int resultB[][] = combineRows(
                ArraycopyStreamPerformance::combineWithBuffer, arrays);
            blackHole += resultB[0][0];
        }
        after = System.nanoTime();

        System.out.printf(Locale.ENGLISH, 
            "%2d arrays, %3d rows, %6d cols, buffer            : %8.3fms\n", 
            num, rows, cols, (after - before) / 1e6);


        // buffer parallel
        before = System.nanoTime();
        for (int i = 0; i < runs; i++)
        {
            int resultB[][] = combineRowsParallel(
                ArraycopyStreamPerformance::combineWithBuffer, arrays);
            blackHole += resultB[0][0];
        }
        after = System.nanoTime();

        System.out.printf(Locale.ENGLISH, 
            "%2d arrays, %3d rows, %6d cols, buffer    parallel: %8.3fms\n", 
            num, rows, cols, (after - before) / 1e6);


        // streams
        before = System.nanoTime();
        for (int i = 0; i < runs; i++)
        {
            int resultC[][] = combineRows(
                ArraycopyStreamPerformance::combineWithStreams, arrays);
            blackHole += resultC[0][0];
        }
        after = System.nanoTime();

        System.out.printf(Locale.ENGLISH, 
            "%2d arrays, %3d rows, %6d cols, stream            : %8.3fms (" + 
            blackHole + ")\n", num, rows, cols, (after - before) / 1e6);
    }



    private static void basicTest()
    {
        int array1[][] =
        {
            { 1, 2 },
            { 3, 4 },
            { 5, 6 } 
        };

        int array2[][] =
        {
            { 7, 8 },
            { 9, 1 },
            { 2, 3 } 
        };

        int result[][] =
        {
            { 1, 2, 7, 8 },
            { 3, 4, 9, 1 },
            { 5, 6, 2, 3 } 
        };
        System.out.println(Arrays.deepToString(result));

        int resultA[][] = combineRows(
            ArraycopyStreamPerformance::combineWithArraycopy, array1, array2);
        System.out.println(Arrays.deepToString(resultA));
        int resultB[][] = combineRows(
            ArraycopyStreamPerformance::combineWithBuffer, array1, array2);
        System.out.println(Arrays.deepToString(resultB));
        int resultC[][] = combineRows(
            ArraycopyStreamPerformance::combineWithStreams, array1, array2);
        System.out.println(Arrays.deepToString(resultC));
    }




    private static int[][] selectRows(int row, int[][]... arrays)
    {
        int result[][] = new int[arrays.length][];
        for (int j = 0; j < arrays.length; j++)
        {
            result[j] = arrays[j][row];
        }
        return result;
    }

    private static int[][] combineRows(
        Function<int[][], int[]> mergeFunction, int[][]... arrays)
    {
        int rows = arrays[0].length;
        int result[][] = new int[rows][];
        for (int i = 0; i < rows; i++)
        {
            result[i] = mergeFunction.apply(selectRows(i, arrays));
        }
        return result;
    }

    private static int[] combineWithArraycopy(int[]... arrays)
    {
        // Assuming the same length for all arrays!
        int length = arrays[0].length;
        int result[] = new int[arrays.length * length];
        for (int i = 0; i < arrays.length; i++)
        {
            System.arraycopy(arrays[i], 0, result, i * length, length);
        }
        return result;
    }

    private static int[] combineWithBuffer(int[]... arrays)
    {
        // Assuming the same length for all arrays!
        int length = arrays[0].length;
        int result[] = new int[arrays.length * length];
        IntBuffer buffer = IntBuffer.wrap(result);
        for (int i = 0; i < arrays.length; i++)
        {
            buffer.put(arrays[i]);
        }
        return result;
    }

    private static int[] combineWithStreams(int[] ... arrays)
    {
        return Stream.of(arrays).flatMapToInt(IntStream::of).toArray();
    }



    private static final ExecutorService EXECUTOR_SERVICE =
        createFixedTimeoutExecutorService(
            Runtime.getRuntime().availableProcessors(), 5, TimeUnit.SECONDS);

    public static ExecutorService createFixedTimeoutExecutorService(
        int poolSize, long keepAliveTime, TimeUnit timeUnit)
    {
        ThreadPoolExecutor e = 
            new ThreadPoolExecutor(poolSize, poolSize,
                keepAliveTime, timeUnit, new LinkedBlockingQueue<Runnable>());
        e.allowCoreThreadTimeOut(true);
        return e;
    }

    private static int[][] combineRowsParallel(
        Function<int[][], int[]> mergeFunction, int[][]... arrays)
    {
        int rows = arrays[0].length;
        int result[][] = new int[rows][];
        List<Callable<Object>> tasks = new ArrayList<Callable<Object>>();
        for (int i = 0; i < rows; i++)
        {
            int index = i;
            tasks.add(Executors.callable(() ->
            {
                result[index] = mergeFunction.apply(selectRows(index, arrays));
            }));
        }
        try
        {
            EXECUTOR_SERVICE.invokeAll(tasks);
        }
        catch (InterruptedException e)
        {
            Thread.currentThread().interrupt();
        }
        return result;
    }

}

我的(旧的、慢的)PC 上的输出大致如下:

 ...
 8 arrays,  20 rows,  10000 cols, arraycopy         :  354.977ms
 8 arrays,  20 rows,  10000 cols, arraycopy parallel:  327.749ms
 8 arrays,  20 rows,  10000 cols, buffer            :  328.717ms
 8 arrays,  20 rows,  10000 cols, buffer    parallel:  312.522ms
 8 arrays,  20 rows,  10000 cols, stream            : 2044.017ms (0)

表明并行化并没有带来值得付出努力的加速,一般来说,基于arraycopyIntBuffer 的方法具有大致相同的性能。

YMMV。如果有人有耐心为此进行 JMH 跑步,我将不胜感激。

【讨论】:

  • 优秀的答案!非常感谢
【解决方案2】:

试试这个。

static int[][] append(int[][]... matrices) {
    int size = matrices.length;
    int rows = matrices[0].length;
    int cols = matrices[0][0].length;
    int[][] result = new int[rows][cols * size];
    for (int i = 0; i < rows; ++i)
        for (int j = 0, k = 0; j < size; ++j, k += cols)
            System.arraycopy(matrices[j][i], 0, result[i], k, cols);
    return result;
}

int[][] a = {{1, 2}, {3, 4}, {5, 6}};
int[][] b = {{7, 8}, {9, 1}, {2, 3}};
int[][] result = append(a, b);
for (int[] e : result)
    System.out.println(Arrays.toString(e));

结果:

[1, 2, 7, 8]
[3, 4, 9, 1]
[5, 6, 2, 3]

【讨论】:

    【解决方案3】:

    在我看来,对这种数组使用 for 循环比使用流或列表更好。

    但这只是我的意见......

    我会使用多线程(由于线程创建开销,这对于小型数组来说是一种过度杀伤力)。即使使用大小为 20*10000 的数组,多线程也可能是一种过度杀伤;但是,如果您需要多次执行此操作,则可以使用 executorService。但这取决于您的需求...

    这是一个例子:

    public static void main(String[] args) {
        test(100, 20, 3);
        test(7, 3, 4);
        test(3,7,4);
    }
    
    private static void test(int outerSize, int innerSize, int numberOfArrays) {
        int[][][] arrays = new int[numberOfArrays][outerSize][innerSize];
        int[][] resultArray;
        int counter = 0;
        System.out.println("Testing " + numberOfArrays + " arrays, " + outerSize + " by " + innerSize);
        for (int arrayIndex = 0; arrayIndex < numberOfArrays; arrayIndex++)
            for (int outerIndex = 0; outerIndex < outerSize; outerIndex++) {
                for (int innerIndex = 0; innerIndex < innerSize; innerIndex++) {
                    arrays[arrayIndex][outerIndex][innerIndex] = counter++;
                }
            }
        // Change number of threads here;
        resultArray = new ArrayCombiner(5, arrays).combine();
        System.out.println(Arrays.deepToString(resultArray));
    }
    
    static class ArrayCombiner {
        private final int[][][] sources;
        private final int[][] resultArray;
        private final int innerSourceLength, outerSourceLength, numberOfThreads;
    
        public ArrayCombiner(int numberOfThreads, int[][]... sources) {
            this.sources = sources;
            this.numberOfThreads = numberOfThreads;
            resultArray = new int[outerSourceLength = sources[0].length][(innerSourceLength = sources[0][0].length)
                    * sources.length];
        }
    
        public int[][] combine() {
            if (numberOfThreads <= 1) {
                combinePortion(0, outerSourceLength);
            } else {
                Thread[] threads = new Thread[numberOfThreads];
                for (int i = 0; i < numberOfThreads; i++) {
                    (threads[(int) i] = new Thread(runnableToCombinePortion(i))).start();
                }
                for (int i = 0; i < numberOfThreads; i++) {
                    try {
                        threads[i].join();
                    } catch (InterruptedException e) {
                        e.printStackTrace();
                    }
                }
            }
            return resultArray;
        }
    
        private Runnable runnableToCombinePortion(int threadIndex) {
            int outerFrom = (int) ((float) threadIndex / numberOfThreads * outerSourceLength),
                    outerTo = (int) ((float) (1 + threadIndex) / numberOfThreads * outerSourceLength);
            return () -> {
                combinePortion(outerFrom, outerTo);
            };
        }
    
        private void combinePortion(int outerFrom, int outerTo) {
            for (int outerIndex = outerFrom; outerIndex < outerTo; outerIndex++) {
                for (int sourceIndex = 0; sourceIndex < sources.length; sourceIndex++) {
                    System.arraycopy(sources[sourceIndex][outerIndex], 0, resultArray[outerIndex],
                            sourceIndex * innerSourceLength, innerSourceLength);
                }
            }
        }
    }
    

    【讨论】:

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