Timsort 算法是使用两种著名的排序技术(插入和合并排序算法)实现的。
Timsort 的实现非常简单,我们将作为输入提供给数组划分为 run 的块块。创建这些运行是为了实现这两种排序技术变得更加容易。使用插入排序算法对运行进行排序。排序后,使用合并排序中可用的组合功能将它们组合在一起。
C++示例代码:
#include<bits/stdc++.h>
using namespace std;
const int RUN = 32;
void insertionSort(int arr[], int left, int right)
{
for (int i = left + 1; i <= right; i++)
{
int temp = arr[i];
int j = i - 1;
while (j >= left && arr[j] > temp)
{
arr[j+1] = arr[j];
j--;
}
arr[j+1] = temp;
}
}
void merge(int arr[], int l, int m, int r)
{
int len1 = m - l + 1, len2 = r - m;
int left[len1], right[len2];
for (int i = 0; i < len1; i++)
left[i] = arr[l + i];
for (int i = 0; i < len2; i++)
right[i] = arr[m + 1 + i];
int i = 0;
int j = 0;
int k = l;
while (i < len1 && j < len2)
{
if (left[i] <= right[j])
{
arr[k] = left[i];
i++;
}
else
{
arr[k] = right[j];
j++;
}
k++;
}
while (i < len1)
{
arr[k] = left[i];
k++;
i++;
}
while (j < len2)
{
arr[k] = right[j];
k++;
j++;
}
}
void tim_Sort_(int arr[], int n)
{
for (int i = 0; i < n; i+=RUN)
insertionSort(arr, i, min((i+RUN-1),(n-1)));
for (int size = RUN; size < n; size = 2*size)
{
for (int left = 0; left < n;
left += 2*size)
{
int mid = left + size - 1;
int right = min((left + 2*size - 1), (n-1));
if(mid < right)
merge(arr, left, mid, right);
}
}
}
// below function prints the array created
void print_Array_(int arr[], int n)
{
for (int i = 0; i < n; i++)
printf("%d ", arr[i]);
printf("\n");
}
// below, we are writing down the drive code for timsort
int main()
{
int arr[] = {-12, 17, 15, -14, 0, 15, 0, 17, -17,
-14, -13, 15, 18, -14, 12};
int n = sizeof(arr)/sizeof(arr[0]);
printf("the given array as input is : \n");
print_Array_(arr, n);
// calling the timsort function to perform its task
tim_Sort_(arr, n);
printf("Array after implementing the sorting : \n");
print_Array_(arr, n);
return 0;
}
运行结果:
the given array as input is :
-12 17 15 -14 0 15 0 17 -17 -14 -13 15 18 -14 12
Array after implementing the sorting :
-17 -14 -14 -14 -13 -12 0 0 12 15 15 15 17 17 18