数据结构中排序算法的实现

#include
using namespace std;

const int maxsize = 1000;

//插入排序++
void InsertSort(int A[], int n)
{
	int i, j;
	for (i = 2; i < n; i++)
	{
		A[0] = A[i];		//A[0]为哨兵
		for (j = i - 1; A[0] < A[j]; j--)
			A[j + 1] = A[j];
		A[j + 1] = A[0];
	}
}

//冒泡排序
void BubbleSort(int A[], int n)
{
	int i, j, flag, temp;
	for (i = 0; i <n - 1; i++)
	{
		flag = 0;
		for (j = n - 1; j > i; j--)
		{
			if (A[j - 1] > A[j])
			{
				swap(A[j - 1], A[j]);
				flag = 1;
			}

		}
		if (!flag) return;		//如果本趟没有发生交换，即可退出排序！
	}
}

//快速排序
void QuickSort(int A[], int l, int r)
{
	if (l >= r) return;
	int i = l - 1, j = r + 1;
	int x = A[(i + j) / 2];
	while (i < j)
	{
		do i++; while (A[i] < x);
		do j--; while (A[j] > x);
		if (i < j) swap(A[i], A[j]);
	}

	QuickSort(A, l, j);
	QuickSort(A, j + 1, r);
}

//选择排序
void SelectSort(int A[], int n)
{
	int i, j, k, temp;
	for (i = 0; i < n; i++)
	{
		k = i;
		for (j = i + 1; j < n; j++)
			if (A[k] > A[j])
				k = j;
		swap(A[i], A[k]);
	}
}

//归并排序
void merge(int A[], int l1, int r1, int l2, int r2)
{
	int q[maxsize], i, j, index = 0;
	i = l1, j = l2;
	while (i <= r1 && j <= r2)
	{
		if (A[i] < A[j]) q[index++] = A[i++];
		else q[index++] = A[j++];
	}
	//左右序列剩余的放入q数组
	while (i <= r1) q[index++] = A[i++];
	while (j <= r2) q[index++] = A[j++];
	//将q临时存储的数值放回A数组中
	for (int k = 0; k < index; k++)
		A[l1 + k] = q[k];
}
void mergesort(int A[], int left, int right)
{
	int mid = (left + right) / 2;
	if (left < right)
	{
		mergesort(A, left, mid);
		mergesort(A, mid + 1, right);
		merge(A, left, mid, mid + 1, right);//把左右两边合并
	}
}
//堆排序
void HeadAdjust(int A[], int k, int n)		//将元素K为根的子树进行调整
{
	A[0] = A[k];
	for (int i = 2 * k; i <= n; i *= 2)
	{
		if (i < n && A[i] < A[i + 1]) i++;
		if (A[0] >= A[i]) break;
		else
		{
			A[k] = A[i];
			k = i;
		}
	}
	A[k] = A[0];
}
void HeapSort(int A[], int n)
{
	//建立初始堆
	for (int i = n / 2; i > 0; i--)
		HeadAdjust(A, i, n);
	//堆排序
	for (int i = n; i > 1; i--)
	{
		swap(A[i], A[1]);
		HeadAdjust(A, 1, i - 1);
	}
}
//折半插入排序
void BinInsertSort(int A[], int n)
{
	int i, j, low, high, mid;
	for (i = 2; i <= n; i++)
	{
		A[0] = A[i];
		low = 1; high = i - 1;
		while (low <= high)		//折半查找
		{
			mid = (low + high) / 2;
			if (A[mid] > A[0]) high = mid - 1;
			else low = mid + 1;
		}
		for (j = i - 1; j >= high + 1; --j)		//统一后移元素
			A[j + 1] = A[j];
		A[high + 1] = A[0];
	}
}
//希尔排序
void ShellSort(int A[], int n)
{
	int d;		//步长
	int i, j;
	for (d = n / 2; d >= 1; d /= 2)	//步长变化
	{
		for (i = d + 1; i <= n; i++)
		{
			if (A[i] < A[i - d])
			{
				A[0] = A[i];		//A[0]只是暂存单元，不是哨兵
				for (j = i - d; j > 0 && A[0] < A[j]; j -= d)
					A[j + d] = A[j];
				A[j + d] = A[0];
			}
		}
	}
}

int main()
{
	int A[11] = { 0,5,2,9,5,7,6,9,34,20,1 };

	//mergesort(A, 0, 11 - 1);
	//HeapSort(A, 11 - 1);
	//BinInsertSort(A, 11 - 1);
	//ShellSort(A, 11 - 1);
	for (int i = 0; i < 11; i++) cout << A[i] << " ";
}