Java中Arrays的sort方法

本文深入探讨了Java排序算法,特别是并归排序与插入排序的融合使用。并归排序利用分治策略,而插入排序适用于小规模数组。文章还介绍了如何在并归排序中嵌入插入排序来提高效率。

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数组的排序,Java自带的Arrays类的sort方法主要内容包括插入排序结合分治排序两种排序算法在里面。
先分别介绍一下两种排序方式:
第一种:通过分治法实现的并归排序。
       @SuppressWarnings("unchecked" )
       public static void mergeSort(Comparable[] src , Comparable[] dest, int low, int high) {
             if (high - low == 1) {
                   return;
            }
             if (high - low == 2) {
                   if (dest[low].compareTo(dest[high - 1]) > 0) {
                         swap(dest, low, high - 1);
                  }
                   return;
            }
             int mid = (low+high) >> 1;
             mergeSort(dest, src , low, mid);
             mergeSort(dest, src , mid, high);
             for (int i = low, p = low, q = mid; i < high; i++) {
                   if (q == high|| (p != mid &&  src [p].compareTo(src[q]) < 0)) {
                        dest[i] = src[p++];
                  } else {
                        dest[i] = src[q++];
                  }
            }
      }
第二种:插入排序。
       private static void InsertionSort(Comparable[] src,Comparable[] dest,int low,int high){
             for(int i=low;i<high;i++){
                   for(int j=i;j>low;j--){
                         if(dest[j].compareTo(dest[j-1])<0){
                               swap(dest, j, j-1);
                        }
                  }
            }
      }
还有一个工具方法
       private static void swap(Object[] x, int a, int b) {
            Object t = x[a];
            x[a] = x[b];
            x[b] = t;
      }
整个Java类的内容如下:
public class ArraysSort {

       @SuppressWarnings("unchecked" )
       public static void mergeSort(Comparable[] src, Comparable[] dest, int low, int high) {
             if (high - low == 1) {
                   return;
            }
             if (high - low == 2) {
                   if (dest[low].compareTo(dest[high - 1]) > 0) {
                         swap(dest, low, high - 1);
                  }
                   return;
            }
             int mid = (low+high) >> 1;
             mergeSort(dest, src, low, mid);
             mergeSort(dest, src, mid, high);
             for (int i = low, p = low, q = mid; i < high; i++) {
                   if (q == high|| (p != mid &&  src[p].compareTo(src[q]) < 0)) {
                        dest[i] = src[p++];
                  } else {
                        dest[i] = src[q++];
                  }
            }
      }

       @SuppressWarnings({ "unused" , "unchecked" })
       private static void InsertionSort(Comparable[] src, Comparable[] dest,int low, int high) {
             for (int i = low; i < high; i++) {
                   for (int j = i; j > low; j--) {
                         if (dest[j].compareTo(dest[j - 1]) < 0) {
                               swap(dest, j, j - 1);
                        }
                  }
            }
      }

       private static String[] getStrings(int length) {
            Random random = new Random();
            String[] strs = new String[length];
             for (int i = 0; i < length; i++) {
                   int temp = random.nextInt(999);
                  strs[i] = Integer. toString(temp);
            }
             return strs;
      }

       private static void swap (Object[] x, int a, int b) {
            Object t = x[a];
            x[a] = x[b];
            x[b] = t;
      }

       public static void main(String[] args) {
            String[] strs = getStrings(10);
            String[] aux = strs.clone();
             long begin = System.currentTimeMillis();
             mergeSort(strs, aux, 0, strs.length);
            System. out.println(System.currentTimeMillis() - begin);
            System. out.println(Arrays.asList(strs));
            System. out.println(Arrays.asList(aux));
      }
}
将插入排序放入并归排序中:
public class ArraysSort {
       /**
       * 排序的代码
       * @param src
       * @param dest
       * @param low
       * @param high
       */
       @SuppressWarnings("unchecked" )
       public static void mergeSort(Comparable[] src, Comparable[] dest, int low, int high) {
             if (high - low < 7) {
                   for (int i = low; i < high; i++) {
                         for (int j = i; j > low; j--) {
                               if (dest[j].compareTo(dest[j - 1]) < 0) {
                                     swap(dest, j, j - 1);
                              }
                        }
                  }
                   return;
            }
             int mid = (low+high) >> 1;
             mergeSort(dest, src, low, mid);
             mergeSort(dest, src, mid, high);
             for (int i = low, p = low, q = mid; i < high; i++) {
                   if (q == high|| (p != mid &&  src[p].compareTo(src[q]) < 0)) {
                        dest[i] = src[p++];
                  } else {
                        dest[i] = src[q++];
                  }
            }
      }
       /**
       * 数组置换位置
       * @param x
       * @param a
       * @param b
       */
       private static void swap(Object[] x, int a, int b) {
            Object t = x[a];
            x[a] = x[b];
            x[b] = t;
      }
       /**
       * 测试的方法
       * @param length
       * @return
       */
       private static String[] getStrings(int length) {
            Random random = new Random();
            String[] strs = new String[length];
             for (int i = 0; i < length; i++) {
                   int temp = random.nextInt(999);
                  strs[i] = Integer. toString(temp);
            }
             return strs;
      }
       public static void main(String[] args) {
            String[] strs = getStrings(10);
            String[] aux = strs.clone();
             long begin = System.currentTimeMillis();
             mergeSort(strs, aux, 0, strs.length);
            System. out.println(System.currentTimeMillis() - begin);
            System. out.println(Arrays.asList(strs));
            System. out.println(Arrays.asList(aux));
      }
}
Arrays的sort方法如下:
 private static void mergeSort(Object[] src, Object[] dest, int low, int high, int off) {
       int length = high - low;
       // Insertion sort on smallest arrays
        if (length < INSERTIONSORT_THRESHOLD) {
            for (int i=low; i<high; i++)
                for (int j=i; j>low &&
                   (( Comparable) dest[j-1]).compareTo(dest[j])>0; j--)
                    swap(dest, j, j-1);
            return;
        }
        // Recursively sort halves of dest into src
        int destLow  = low;
        int destHigh = high;
        low  += off;
        high += off;
        int mid = (low + high) >> 1;
        mergeSort(dest, src, low, mid, -off) ;
        mergeSort(dest, src, mid, high, -off) ;
        // If list is already sorted, just copy from src to dest.  This is an
        // optimization that results in faster sorts for nearly ordered lists.
        if (((Comparable)src[mid-1]).compareTo(src[mid]) <= 0) {
            System. arraycopy(src, low, dest, destLow, length);
            return;
        }
        // Merge sorted halves (now in src) into dest
        for(int i = destLow, p = low, q = mid; i < destHigh; i++) {
            if (q >= high || p < mid && ((Comparable)src[p]).compareTo(src[q])<=0)
                dest[i] = src[p++];
            else
                dest[i] = src[q++];
        }
    }
    /**
     * Swaps x[a] with x[b].
     */
    private static void swap(Object[] x, int a, int b) {
      Object t = x[a];
      x[a] = x[b];
      x[b] = t;
    }

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