【插入排序】直接，折半，二路，希尔

插入排序 给出一下四种方法：

直接插入排序，折半插入排序，二路插入排序，希尔插入排序

代码实现：

#include<iostream>
using namespace std;
#define size 21

typedef int Sqlist[size];

void SInsertSort(Sqlist &L, int n)  //直接插入
{
	cout << "直接插入排序" << endl;

	for (int i = 2; i < n; ++i)
	{
		if (L[i] < L[i - 1])		//判断i与i-1位置的大小
		{
			L[0] = L[i];			//将i位置赋值给哨兵位

			int j;
			for (j = i - 1; L[0] < L[j]; --j)
			{
				L[j + 1] = L[j];		//循环后移
			}
			L[j + 1] = L[0];
		}
	}
}

void BInsertSort(Sqlist &L, int n)
{
	cout << "折半插入排序" << endl;
	for (int i = 2; i < n; ++i)
	{
		L[0] = L[i];

		int low = 1;
		int high = i - 1;
		int mid = 0;

		while (low <= high)
		{
			mid = (low + high) / 2;

			if (L[0] < L[mid])
			{
				high = mid - 1;
			}
			else
			{
				low = mid + 1;
			}
		}

		for (int j = i - 1; j >= high + 1; --j)
		{
			L[j + 1] = L[j];				//循环后移
		}
		L[high + 1] = L[0];
	}
}

void TWInsertSort(Sqlist &L, int n)			//2—路插入排序
{
	cout << "二路插入排序" << endl;

	Sqlist T;
	T[0] = L[0];
	int first;
	int last;
	first = last = 0;
	for (int i = 1; i < n; ++i)
	{
		if (L[i] < T[first])
		{
			first = (first - 1 + n) % n;
			T[first] = L[i];
		}
		else if (L[i] > T[last])
		{
			last++;
			T[last] = L[i];
		}
		else
		{
			last++;
			T[last] = T[last - 1];

			int j = last - 1;
			for (; L[i] < T[(j - 1 + n) % n]; j = (j - 1 + n) % n)
			{
				T[j] = T[(j - 1 + n) % n];
			}
			T[j] = L[i];
		}
	}
	for (int i = 0; i < n; ++i)
	{
		L[i] = T[first];
		first = (first + 1) % n;
	}
}

void ShellInsert(Sqlist &L, int n, int dk)//希尔插入
{
	int t;
	for (int i = dk + 1; i <= n; ++i)         //按增量变化
	{
		if (L[i] < L[i - dk])              //比较大小
		{

			t = L[i];
			int j = i - dk;
			for (; j>0 && t<L[j]; j -= dk)
			{
				L[j + dk] = L[j];
			}
			L[j + dk] = t;             //赋值
		}
	}
}

void ShellSort(Sqlist &L, int n, int dlta[], int t)//希尔排序
{
	for (int k = 0; k < t; ++k)                    //按照增量数组值重复插入排序
	{
		ShellInsert(L, n, dlta[k]);
	}
}

void main()
{
	Sqlist sq = { 0, 49, 38, 65, 97, 76, 13, 27, 49 };//0为哨兵位

	cout << "原数组为：" << endl;
	for (int i = 1; i < 9; ++i)
	{
		cout << sq[i]<<' ';
	}
	cout << endl;

	SInsertSort(sq,9);

	for (int i = 1; i < 9; ++i)
	{
		cout << sq[i] << ' ';
	}
	cout << endl;

	BInsertSort(sq, 9);

	for (int i = 1; i < 9; ++i)
	{
		cout << sq[i] << ' ';
	}
	cout << endl;

	Sqlist Sq = { 49, 38, 65, 97, 76, 13, 27, 49 };

	cout << "原数组为：" << endl;
	for (int i = 0; i < 8; ++i)
	{
		cout << Sq[i]<<' ';
	}
	cout << endl;

	TWInsertSort(Sq, 8);

	for (int i = 0; i < 8; ++i)
	{
		cout << Sq[i] << ' ';
	}
	cout << endl;

	Sqlist sQ = { 0, 49, 38, 65, 97, 76, 13, 27, 49 };//哨兵位
	cout << "原数组为："<<endl;
	for (int i = 1; i <= 8; ++i)            //打印sQ
	{
		cout << sQ[i] << " ";
	}
	cout << endl;

	int dlta[] = { 5, 3, 1 };             //增量数组  

	ShellSort(sQ, 8, dlta, sizeof(dlta) / sizeof(int));//希尔排序

	cout << "希尔排序：" << endl;
	for (int j = 1; j <= 8; ++j)
	{
		cout << sQ[j] << " ";
	}
	cout << endl;
}

输出结果：