java - 我的合并排序对于数组长度 10 不起作用是否有原因

Question

我正在设置合并排序来对我的数组进行排序。目标是对任意长度的数组进行排序。

我尝试查看合并排序函数，但我没有发现它有任何问题。该排序适用于某些数组长度(无论是奇数还是偶数)，但对于数组长度(例如长度为 10)，我会遇到越界异常。

import java.util.Arrays;

class MergeSort
{
 // Merge two sorted sub-arrays A[from .. mid] and A[mid + 1 .. to]
 public static void merge(int[] A, int[] temp, int from, int mid, int to)
 {
  int k = from, i = from, j = mid + 1;

  // loop till there are elements in the left and right runs
  while (i <= mid && j <= to) {
   if (A[i] < A[j]) {
    temp[k++] = A[i++];
   } else {
    temp[k++] = A[j++];
   }
  }

  // Copy remaining elements
  while (i <= mid) {
   temp[k++] = A[i++];
  }

  // Don't need to copy second half

  // copy back to the original array to reflect sorted order
  for (i = from; i <= to; i++) {
   A[i] = temp[i];
  }
 }

 // Iteratively sort array A[low..high] using temporary array
 public static void mergesort(int[] A)
 {
  int low = 0;
  int high = A.length - 1;

  // sort array A[] using temporary array temp
  int[] temp = Arrays.copyOf(A, A.length);

  // divide the array into blocks of size m
  // m = [1, 2, 4, 8, 16...]
  for (int m = 1; m <= high - low; m = 2*m)
  {
   // for m = 1, i = 0, 2, 4, 6, 8...
   // for m = 2, i = 0, 4, 8, 12...
   // for m = 4, i = 0, 8, 16...
   // ...
   for (int i = low; i < high; i += 2*m)
   {
    int from = i;
    int mid = i + m - 1;
    int to = Integer.min(i + 2 * m - 1, high);

    merge(A, temp, from, mid, to);
   }
  }
 }

 // Iterative Implementation of Mergesort algorithm
 public static void main(String[] args)
 {
  int[] A = { 5, 7, -9, 3, -4, 2, 8, 8, 10, 11 };

  System.out.println("Original Array : " + Arrays.toString(A));
  mergesort(A);
  System.out.println("Modified Array : " + Arrays.toString(A));
 }
}

Answer 1

您的中间计算不正确。有时您会将其设置在该区域的范围之外。

下面的更改通过防止 mid 出界来修复算法，类似于您防止 to 出界的方法。

更改int mid = i + m - 1;至int mid = Math.min(i + m - 1, A.length - 1);

说明:正如您在评论中提到的，您正在检查的区域切片的大小正在增加。以下是数组的排序方式、何时发生越界错误，以及为什么在 2 的幂大小上没有发生该错误:

             [ -9,  5,  7,  3, -4,  2,  8,  8, 10, 11 ]           Array size
 First pass:   []  []  []  []  []  []  []  []  []  []             1
     Second:   [    ]  [    ]  [    ]  [    ]  [    ]             2
      Third:   [            ]  [            ]  [       ERROR]     4