一、引言

我们知道,java中泛型排序使用归并排序或TimSort。归并排序以O(NlogN)最坏时间运行,下面我们分析归并排序过程及分析证明时间复杂度;也会简述为什么java选择归并排序作为泛型的排序算法。

二、图解归并排序过程

  1. 算法思想:采用分治法:
  • 分割:递归地把当前序列平均分割成两半。
  • 集成:在保持元素顺序的同时将上一步得到的子序列集成到一起(归并)。
  • 归并操作:指的是将两个已经排序的序列合并成一个序列的操作。归并排序算法依赖归并操作。
  1. 归并过程:取两个输入数组A、B和一个输出数组C以及3个索引index1,index2,index3分别指向三个数组开始端。并在A[index1]、B[index2]中较小者拷贝到数组C中的下一个位置,相关的索引+1。当A、B中有一个数组走完时,将另一个数组中的元素全部拷贝到数组C中。

假设输入数组A[1、7、9、13],B[5、8、15、17],算法过程如下。1与5比较,1存入数组C中;接下来7与5比较,5存入C中。


接着7与8比较,7存入C中;9与8比较,8存入C中。


接着这样的过程进行比较,直到13与15比较,13存入C中。


这时候A已经用完,将B中剩余的元素全部拷贝到C中即可。


从图中可以看出,合并两个排序表是线性的,最多进行N-1次比较(可以改变输入序列,使得每次只有一个数进入数组C,除了最后一次,最后一次至少有两个元素进入C)。对于归并排序,N=1的时候,排序结果是显然的;否则,递归将前半部分与后半部分分别归并排序。这是使用分治的思想。

三、java实现归并排序

public class MergeSort {
    public static void main(String[] args) {
        Integer[] integers = {7, 1, 13, 9, 15, 5, 8,17};
        System.out.println("原序列:" + Arrays.toString(integers));
        mergeSort(integers);
        System.out.println("排序后:" + Arrays.toString(integers));
    }

    public static <T extends Comparable<? super T>> void mergeSort(T[] a) {
        //因为merge操作是最后一行,所以任何时候只需要一个临时数组
        T[] tmpArray = (T[]) new Comparable[a.length];
        mergeSort(a, tmpArray, 0, a.length - 1);
    }

    private static <T extends Comparable<? super T>> void mergeSort(T[] a, T[] tmpArray, int left, int right) {
        if (left < right) {
            int center = (left + right) / 2;
            mergeSort(a, tmpArray, left, center);
            mergeSort(a, tmpArray, center + 1, right);
            merge(a, tmpArray, left, center + 1, right);
        }
    }

    /**
     * 合并左右数据方法
     *
     * @param a               :原数组
     * @param tmpArray        : 临时数组
     * @param leftPos         :左边开始下标
     * @param rightPos:右边开始下标
     * @param rightEnd:右边结束下标
     * @param <T>:元素泛型
     */
    private static <T extends Comparable<? super T>> void merge(T[] a, T[] tmpArray, int leftPos, int rightPos, int rightEnd) {
        int leftEnd = rightPos - 1;
        int tmpPos = leftPos;
        int numElements = rightEnd - leftPos + 1;
        //合并操作
        while (leftPos <= leftEnd && rightPos <= rightEnd) {
            if (a[leftPos].compareTo(a[rightPos]) <= 0) {
                tmpArray[tmpPos++] = a[leftPos++];
            } else {
                tmpArray[tmpPos++] = a[rightPos++];
            }
        }
        // 复制前半部分
        while (leftPos <= leftEnd) {
            tmpArray[tmpPos++] = a[leftPos++];
        }
        //复制后半部分
        while (rightPos <= rightEnd) {
            tmpArray[tmpPos++] = a[rightPos++];
        }
        // 回写原数组
        for (int i = 0; i < numElements; i++, rightEnd--) {
            a[rightEnd] = tmpArray[rightEnd];
        }
    }
}

四、归并排序分析

我们假设N是2的幂,我们递归总可以均分为两部分。对于N=1,归并排序所用时间是常数,即O(1)。对于N个数归并排序的用时等于两部分时间之和再加上合并的时间。合并是线性的,因为最多使用N-1次比较。推导如下:

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" style="font-size: inherit; color: inherit; line-height: inherit; padding: 0px; margin: 0px auto; max-width: 100%; display: inline-block; vertical-align: middle;">

上面我们假设了N=2k,对于N不是2的幂(通常都是这种情况),其实,结果都是差不多的,也只是最多再多一次过程而已。

  1. 时间复杂度:从分析可以看出,归并排序的最好最坏都稳定在O(NlogN)
  2. 空间复杂度:需要O(N)个临时空间进行合并操作。
  3. 稳定性:稳定。采用分治的思想,每次合并时,在前面的总会先存入临时数组内。

五、简谈java泛型为什么选择归并排序

归并排序与其他O(NlogN)排序算法相比,时间很依赖比较算法与在数组中移动元素(包括临时数组中)的相对开销。这是与语言环境有关的。对于Java来说,进行比较可能比较耗时(使用Comparator);但移动元素属于引用赋值,不是庞大对象的拷贝。归并算法在所有流行的使用比较的算法中使用最少的比较次数。另一个原因是归并排序是稳定的,这在某些特殊的场景特别重要。

六、总结

本篇通过画图详述了归并排序的过程,还通过数学证明归并排序时间复杂度稳定在O(NlogN);简谈了下java选择归并排序的原因。java中对于基本类型的排序,使用的是快速排序。

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