快速排序
快排基本逻辑:
void Quict_sort(int* dat, int left, int right)
{
if (left >= right)
{
return;
}
int index=Getmid(dat, left, right);
Swap(dat[left], dat[index]);
int begin = left;
int end = right;
int pivot = begin;
int core = dat[pivot];
while (begin < end)
{
while (begin<end && dat[end]>core)//小值
{
end--;
}
dat[pivot] = dat[end];
pivot = end;
while (begin < end && dat[begin] < core)//大值
{
begin++;
}
dat[pivot] = dat[begin];
pivot = begin;
}
pivot = begin;
dat[pivot] = core;
Quict_sort(dat, left, pivot - 1);//递归左半部分
Quict_sort(dat, pivot + 1, right);//递归右半部分1
}
三位取中增加效率
int Gitmid(int* dat, int left, int right)
{
assert(dat);
int mid = (left + right) >> 1;
if (dat[left] < dat[mid])
{
if (dat[mid] < dat[right])
{
return mid;
}
else if (dat[left] > dat[right])
{
return left;
}
else
return right;
}
else
{
if (dat[mid] > dat[right])
{
return mid;
}
else if (dat[left] < dat[right])
{
return left;
}
else
return right;
}
}
下述类似于挖坑法,通过前后比较得出key应该放的位置
//左右指针法
void Quict_sort(int* a, int left, int right)
{
if (left >= right)
{
return;
}
int index=Gitmid(a, left, right);
Swap(a[left], a[index]);
int key = left;
int pre = left; int cur = left + 1;
while (cur <= right)
{
if (a[cur] < a[key] && ++pre!=cur)
{
Swap(a[pre], a[cur]);
}
++cur;
}
Swap(a[key], a[pre]);
int pivot = pre;
Quict_sort(a, left, pivot - 1);//递归左半部分
Quict_sort(a, pivot + 1, right);//递归右半部分
}
快排的非递归
归并排序
void MergSort_(int* dat, int left, int right, int* tmp)
{
if (left >= right)
{
return;
}
int mid = (left + right) >> 1;
//假设有序,进行分治递归
MergSort_(dat, left, mid , tmp);
MergSort_(dat, mid + 1, right, tmp);
//定义变量
int begin1 = left; int end1 = mid;
int begin2 = mid + 1; int end2 = right;
int index = left;
while (begin1 <= end1 && begin2 <= end2)
{
if (dat[begin1] < dat[begin2])
{
tmp[index++] = dat[begin1++];
}
else
{
tmp[index++] = dat[begin2++];
}
}
while (begin1 <= end1)//考虑到比较完可能有剩余值直接放入数组即可
{
tmp[index++] = dat[begin1++];
}
while (begin2 <= end2)
{
tmp[index++] = dat[begin2++];
}
for (int i = left; i <= right; i++)
{
dat[i] = tmp[i];
}
}
void MergeSort(int* dat, int num)
{
int* tmp = (int*)malloc(num * sizeof(int));
MergSort(dat, 0, num - 1, tmp);
free(tmp);
}
上述则为归并排序
归并非递归
void MergeSort(int* dat, int num)
{
int* tmp = (int*)malloc(num * sizeof(int));
int gap = 1;
while (gap < num)
{
for (int i = 0; i < num; i += 2 * gap)
{
int begin1 = i; int end1 = i + gap - 1;
int begin2 = i + gap; int end2 = i + 2 * gap - 1;
int index = i;
if (begin2 >= num)//防止越界
break;
if (end2 >= num)//防止剩一个数时越界
end2 = num - 1;
while (begin1 <= end1 && begin2 <= end2)
{
if (dat[begin1] < dat[begin2])
{
tmp[index++] = dat[begin1++];
}
else
{
tmp[index++] = dat[begin2++];
}
}
while (begin1 <= end1)
{
tmp[index++] = dat[begin1++];
}
while (begin2 <= end2)
{
tmp[index++] = dat[begin2++];
}
for (int i = 0; i <= end2; i++)
{
dat[i] = tmp[i];
}
}
gap *= 2;//每次间隙翻两倍
}
free(tmp);
}
以上就是较重要的两大排序,请多多支持,点赞+转发,感激不尽