一 . 归并排序



void _MergeSort(int* arr, int left, int right, int* tmp)
{
if (left >= right)
{
return;
}
//找中间值
int mid = (left + right) / 2;
//根据mid 分成两个序列:[left , mid ] [mid+1 , right]
_MergeSort(arr, left, mid, tmp);
_MergeSort(arr, mid+1,right, tmp);
//合并两个序列 [left , mid ] [mid+1 , right]
int begin1 = left, end1 = mid;
int begin2 = mid + 1, end2 = right;
int index = begin1;
while (begin1 <= end1 && begin2 <= end2)
{
if (arr[begin1] < arr[begin2])
{
tmp[index++] = arr[begin1++];
}
else
{
tmp[index++] = arr[begin2++];
}
}
//可能存在第一个序列中的数据没有全部放回tmp中
//可能存在第二个序列中的数据没有全部放回tmp中
while (begin1 <= end1)
{
tmp[index++] = arr[begin1++];
}
while (begin2 <= end2)
{
tmp[index++] = arr[begin2++];
}
//将tmp中数据挪回arr中
for (int i = left; i <= right; i++)
{
arr[i] = tmp[i];
}
}
//归并排序
void MergeSort(int* arr, int n)
{
int* tmp = (int*)malloc(sizeof(int) * n);
_MergeSort(arr, 0, n - 1, tmp);
free(tmp);
tmp = NULL;
}
二 . 非比较排序 - 计数排序

//计数排序
void CountSort(int* arr, int n)
{
int max = arr[0], mix = arr[0];
//找最大、最小值
for (int i = 0; i < n; i++)
{
if (max < arr[i])
{
max = arr[i];
}
if (mix > arr[i])
{
mix = arr[i];
}
}
int range = max - mix + 1;
//开辟数组并把它初始化为0
int* count = (int*)calloc(range, sizeof(int));
if (count == NULL)
{
perror("calloc fail!");
exit(1);
}
for (int i = 0; i < n; i++)
{
count[arr[i] - mix]++;
}
int index = 0;
for (int i = 0; i < range; i++)
{
while (count[i]--)
{
arr[index++] = i + mix;
}
}
}
三 . 测试代码 : 排序性能对比
// 测试排序的性能对⽐
void TestOP()
{
srand(time(0));
const int N = 100000;
int* a1 = (int*)malloc(sizeof(int) * N);
int* a2 = (int*)malloc(sizeof(int) * N);
int* a3 = (int*)malloc(sizeof(int) * N);
int* a4 = (int*)malloc(sizeof(int) * N);
int* a5 = (int*)malloc(sizeof(int) * N);
int* a6 = (int*)malloc(sizeof(int) * N);
int* a7 = (int*)malloc(sizeof(int) * N);
for (int i = 0; i < N; ++i)
{
a1[i] = rand();
a2[i] = a1[i];
a3[i] = a1[i];
a4[i] = a1[i];
a5[i] = a1[i];
a6[i] = a1[i];
a7[i] = a1[i];
}
int begin1 = clock();
InsertSort(a1, N);
int end1 = clock();
int begin2 = clock();
ShellSort(a2, N);
int end2 = clock();
int begin3 = clock();
SelectSort(a3, N);
int end3 = clock();
int begin4 = clock();
HeapSort(a4, N);
int end4 = clock();
int begin5 = clock();
QuickSort(a5, 0, N - 1);
int end5 = clock();
int begin6 = clock();
MergeSort(a6, N);
int end6 = clock();
int begin7 = clock();
BubbleSort(a7, N);
int end7 = clock();
printf("InsertSort:%d\n", end1 - begin1);
printf("ShellSort:%d\n", end2 - begin2);
printf("SelectSort:%d\n", end3 - begin3);
printf("HeapSort:%d\n", end4 - begin4);
printf("QuickSort:%d\n", end5 - begin5);
printf("MergeSort:%d\n", end6 - begin6);
printf("BubbleSort:%d\n", end7 - begin7);
free(a1);
free(a2);
free(a3);
free(a4);
free(a5);
free(a6);
free(a7);
}
四 . 排序算复杂度及稳定性分析

