各种排序算法的c++代码实现

时间:2021-11-22 04:08:24

下面是c++实现选择排序、冒泡排序、插入排序、基数排序、快速排序、归并排序的代码,能够显示各种排序算法的中间过程。



#include <iostream>
#include <string.h>
#include <windows.h>
using namespace std;
//下面的函数是交换大小

void swap(int &x, int &y)
{
int temp = x;
x = y;
y = temp;
}
//下面的函数用来寻找最大元素所在的位置

template<class T>
int indexOfMax(T a[], int n)
{
int max = 0;
for (int i = 1; i < n; i++)
{
if (a[max] < a[i])
max = i;
}
return max;
}

//下面是选择排序算法
template<class T>
void selectionSort(T a[], int n)
{
for (int size = n; size >1; size--)
{
int j = indexOfMax(a, size);
//int temp = a[j];
//a[j] = a[size - 1];
//a[size - 1] =temp;
swap(a[j], a[size - 1]);
for (int i = 0; i < n; i++)
{
cout<<a[i]<<endl;
}
cout << "\n";
}
}

//下面是冒泡排序
template <class T>
void bubbleSort(T a[], int n)
{
for (int i = n; i > 1; i--)
{
//下面是一次冒泡的过程,实现的是将a[0:i-1]的最大值冒泡的最右端
for (int j = 0; j < i - 1; j++)
{
if (a[j] > a[j + 1])
swap(a[j], a[j + 1]);
}
for (int i = 0; i < n; i++)
{
cout<<a[i]<<endl;
}
cout << "\n";
}
}

//下面是插入排序
template <class T>
void insertionSort(T a[], int n)
{
for (int i = 1; i < n; i++)
{
//下面将a[i]插入到a[0:i-1]中去
int temp = a[i];
int j;
for (j=i-1;j>=0 && a[j]>temp; j--)
{
a[j+1] = a[j];
}
a[j+1] = temp;

for (int i = 0; i < n; i++)
{
cout<<a[i]<<endl;
}
cout << "\n";

}
}
//下面是计数排序
template <class T>
void countSort(T a[], T b[], T result[],int n)
{
int *c= new int[10];
for (int i = 0; i <10; i++) {
c[i] = 0;
}
for (int i = 0; i < n; i++) {
c[b[i]] += 1;
}
for (int i = 0; i <10; i++) {
if (i != 0) {
c[i] += c[i - 1];
}
}
for (int i = n - 1; i >= 0; i--) {
// 和计数排序唯一的差别在于赋值的时候用真实的数据
result[c[b[i]] - 1] = a[i];
c[b[i]] = c[b[i]] - 1;
}
}


//下面是基数排序
template <class T>
void radixSort(T a[], int maxLen,int n)
{
int *result = new int[n];
int flag = 1;
int *b= new int[n];//用来储存某一位各个数的值
for(int i = 0;i < maxLen; i++ )
{
flag *= 10;
//将每个a里的数的对应数值储存到b里
for (int j = 0; j <n; j++)
{
b[j] = a[j] % flag;
b[j] = b[j] / (flag / 10);
}
//下面调用计数排序
countSort(a, b, result,n);
// 每一轮计数排序完后刷新下一轮要排序的数组
for (int j = 0; j < n; j++)
{
a[j] = result[j];
}
for (int j = 0; j <n; j++)
{
cout<<a[j]<<endl;

}
cout << "\n";
}
}

//下面是快速排序
void quick_sort(int array[],int first, int last)
{
int temp, low, high, list_separator;

low = first;
high = last;
list_separator = array[(first + last)/2];

do
{
while (array[low] < list_separator) {
low++;
}
while (array[high] > list_separator) {
high--;
}
if (low <= high) {
temp = array[low];
array[low++] = array[high];
array[high--] = temp;
}
} while (low <= high);

if (first < high) {
quick_sort(array, first, high);
}
if (low < last) {
quick_sort(array, low, last);
}
}

//下面是归并排序
void merge(int array[],int left,int mid,int right)
{
int len = right - left + 1;
int *t = new int[len];
int i = left,j = mid + 1;
int k = 0;//t数组下标
while(i <= mid && j <= right)
{
if(array[i] < array[j])
{
t[k++] = array[i++];//直接把++放下标里面方便啊
}
else
{
t[k++] = array[j++];
}
}
while(i <= mid)//表示前面的那段还没全部被抽取
{
t[k++] = array[i++];
}
while(j <= mid)//表示后面的那段还没全部被抽取
{
t[k++] = array[j++];
}

//把t反馈回array的left~right段
for(k = 0;k < len;k++)
{
array[left++] = t[k];
}

delete []t;//记得回收临时空间
}

//递归大法
void merge_sort(int array[],int left,int right)
{
if(left < right)//如果left>=right表明细分成最小的一个元素一组
{
int mid = (left + right) / 2; //中间
//注意这里递归之后right变量已经被赋值为mid
merge_sort(array,left,mid);
//注意这里递归之后left变量已经被赋值为mid
merge_sort(array,mid+1,right);
//合并得到有序序列
merge(array,left,mid,right);
}
}

void print(int *array,int start,int end)
{
while(start < end)
{
cout<<array[start]<<" ";
start++;
}
cout<<array[end]<<endl;
}


int main()
{
//选择排序
// int a[] = {5,4,3,2,1};
// selectionSort(a,5);
// system("pause");

//冒泡排序
// int a[] = {5,4,3,2,1};
// bubbleSort(a,5);
// system("pause");

//插入排序
// int a[] = {5,4,3,2,1};
// insertionSort(a,5);
// system("pause");

//冒泡排序
// int a[] = {5,4,3,2,1};
// bubbleSort(a,5);
// system("pause");

//基数排序
// int a[] = {55,433,32,28,1};
// radixSort(a,5,5);
// system("pause");

//快排
// int values[30], i;
// for (i = 0; i < 30; i++) {
// values[i] = rand();
// }

// cout << "Before the quick_sort:" << endl;
// for (i = 0; i < 30; i++) {
// cout << values[i] << endl;
// }
// cout << "\n\n";

// quick_sort(values,0,29);

// cout << "After the quick_sort:" << endl;
// for (i = 0; i < 30; i++) {
// cout << values[i] << endl;
// }



int values[30], i;
for (i = 0; i < 30; i++) {
values[i] = rand();
}
cout << "Before the quick_sort:" << endl;
for (i = 0; i < 30; i++) {
cout << values[i] << endl;
}
cout << "\n\n";

merge_sort(values,0,30);

cout << "After the quick_sort:" << endl;
for (i = 0; i < 30; i++) {
cout << values[i] << endl;
}









return 0;
}