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排序.cpp
188 lines (159 loc) · 3.78 KB
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排序.cpp
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#include <iostream>
#include <cstdlib>
#include <ctime>
#include <vector>
using namespace std;
void swap(int &a, int &b) {
int temp = a;
a = b;
b = temp;
}
void bubble_sort(vector<int> &a) {
if (a.size() < 2) return;
//每次找到的最小的元素被放到末尾
for (int end = a.size() - 1; end > 0; --end)
{
for (int i = 0; i < end; i++)
{
if (a[i] < a[i + 1]) swap(a[i], a[i + 1]);
}
}
/************************自己写的版本******************************
for (size_t i = 0; i < a.size(); i++){
for (size_t j = 0; j < a.size() - i - 1; ++j)
{
if (a[j] < a[j + 1]) swap(a[j], a[j + 1]);
}
}
*******************************************************/
}
void select_sort(vector<int> &a) {
if (a.size() < 2)return;
for (int end = a.size()-1; end > 0; --end)
{
int min = end;
for (int j = 0; j < end; j++)
{
if (a[j] < a[min]) min = j;
}
swap(a[min], a[end]);
}
}
void insert_sort(vector<int> &a) {
if (a.size() < 2)return;
for (size_t i = 1; i < a.size(); i++)
{
for (size_t j = i - 1; j >= 0 && a[j] < a[j + 1]; j--)
{
swap(a[j], a[j + 1]);
}
}
}
//归并排序
void merge(vector<int> &a, int left,int mid, int right) {
if (left >= right || a.size() < 2) return;
vector<int> temp;
int l = left;
int r = mid + 1;
while (l<=mid && r <= right){ temp.push_back((a[l] < a[r] ? a[l++] : a[r++]));}
while (l<=mid){ temp.push_back(a[l++]);}
while (r<=right){ temp.push_back(a[r++]);}
for (size_t i =0;i<temp.size();){
a[left++] = temp[i++];
}
cout <<endl<< "temp: ";
for (auto ax:temp)
{
cout << ax << " ";
}
cout << endl;
}
void mergesort(vector<int> &a,int left, int right) {
if (left >= right || a.size() < 2) return;
int mid = left + (right - left)/2;
mergesort(a, left, mid);
mergesort(a, mid + 1, right);
merge(a, left, mid, right);
cout << endl;
}
//快速排序
vector<int> partition(vector<int> &a,int l,int r) {
// 以最后一个数为划分阈值
int left = l-1;
int right = r;
while (l < right)
{
if (a[l] < a[r]) { swap(a[l], a[left + 1]); left++; l++; }
else if (a[l] == a[r]) l++;
else if (a[l] > a[r]) { swap(a[l], a[right - 1]); right--; };
}
swap(a[right], a[r]);
return { left,right+1};
}
void quicksort(vector<int>&a, int left, int right) {
if (a.size() < 2 || left >= right) return;
vector<int> ind = partition(a, left, right);
quicksort(a, left, ind[0]);
quicksort(a, ind[1], right);
}
//堆排序
void bigRoot(vector<int> &a,int index) {
for (int i = 1; i <= index; i++)
{
if (a[i]>a[(i-1)/2])
{
int l = i;
while(a[l]>a[(l-1)/2]){
swap(a[l], a[(l - 1)/2]);
l = (l-1)/2;
}
}
}
}
void downHill(vector<int> &a,int index) {
int i = 0;
while (2*i+1<=index)
{
int larger = ((2 * i + 2) <= index && (a[2 * i + 1] < a[2 * i + 2])) ? (2 * i + 2) : (2 * i + 1);
if (a[i] <= a[larger]) {
swap(a[i], a[larger]);
i = larger;
}
else break;
}
}
void heapsort(vector<int> &a) {
if (a.size() < 2)return;
int index = a.size() - 1;
bigRoot(a, a.size() - 1);
while (index>0)
{
swap(a[0], a[index--]);
downHill(a, index);
}
}
int main(int argc, char ** argv) {
//初始化列表
srand(int(time(0)));
vector<int> a;
int s = rand() % 20;
for (int i = 0; i < s; i++) {
a.push_back(rand()%100);
}
cout << "original vector :";
for (vector<int>::iterator it = a.begin();it!=a.end();)
{
cout << *it++ <<" ";
}
cout << endl;
//bubble_sort(a);//冒泡排序
//select_sort(a);//选择排序
//insert_sort(a);//插入排序
//mergesort(a,0,a.size()-1);//归并排序
//quicksort(a,0,a.size()-1);//快速排序
//heapsort(a);//堆排序
cout << "size : " <<a.size()<< " sort result: ";
for (auto i:a){ cout << i << " ";}
cout << endl;
system("pause");
}