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各种排序时间复杂度比较

各种排序时间复杂度比较

以下为数据结构作业
如有错误,请指出,谢谢!

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#include<iostream>
#include<time.h>
#include<windows.h>
#include<cstdlib>
const int Decimal=1000;
using namespace std;
typedef struct
{
int *elem;
int length;
}SqList;
void InsertSort(SqList L)
{
int i,j;
for(i=2;i<L.length;i++)
{
if(L.elem[i]<L.elem[i-1])
{
L.elem[0]=L.elem[i];
L.elem[i]=L.elem[i-1];
}
for(j=i-2;L.elem[0]<L.elem[j];j--)
L.elem[j+1]=L.elem[j];
L.elem[j+1]=L.elem[0];
}
}
void BInsertSort(SqList L)
{
int i,j,high,low,m;
for(i=2;i<L.length;i++)
{
L.elem[0]=L.elem[i];
low=1;high=i-1;
while(low<=high)
{
m=(low+high)/2;
if(L.elem[0]<L.elem[m])high=m-1;
else low=m+1;
}
for(j=i-1;j>=high+1;j--)
L.elem[j+1]=L.elem[j];
L.elem[high+1]=L.elem[0];
}
}
void ShellInsert(SqList &L,int dk)
{
int i,j;
for(i=dk+1;i<L.length;i++)
{
if(L.elem[i]<L.elem[i-dk])
{
L.elem[0]=L.elem[i];
for(j=i-dk;j>0&&L.elem[0]<L.elem[j];j-=dk)
L.elem[j+dk]=L.elem[j];
L.elem[j+dk]=L.elem[0];
}
}
}
void ShellSort(SqList &L,int dt[],int t)
{
int k;
for(k=0;k<t;k++)
ShellInsert(L,dt[k]);
}
void BubbleSort(SqList &L)
{
int m=L.length-1,flag=1,t;
while((m>0)&&(flag==1))
{
flag=0;
for(int j=1;j<=m;j++)
{
if(L.elem[j]>L.elem[j+1])
{
flag=1;
t=L.elem[j];
L.elem[j]=L.elem[j+1];
L.elem[j+1]=t;
}
}
--m;
}
}
int Partition(SqList &L,int low,int high)
{
L.elem[0]=L.elem[low];
int privotkey=L.elem[low];
while(low<high)
{
while(low<high&&L.elem[high]>=privotkey)--high;
L.elem[low]=L.elem[high];
while(low<high&&L.elem[low]<=privotkey)++low;
L.elem[high]=L.elem[low];
}
L.elem[low]=L.elem[0];
return low;
}
void QSort(SqList &L,int low,int high)
{
int pivotloc;
if(low<high)
{
pivotloc=Partition(L,low,high);
QSort(L,low,pivotloc-1);
QSort(L,pivotloc+1,high);
}
}
void QuickSort(SqList &L)
{
QSort(L,1,L.length);
}
void Test(SqList &L)
{
for(int i=1;i<L.length;i++)
cout<<L.elem[i]<<" ";
cout<<endl;
}
int main()
{
int k=1,MAXN=1;
SqList L;
double run_time,dpFreq;
_LARGE_INTEGER time_start; //开始时间
_LARGE_INTEGER time_over; //结束时间
LARGE_INTEGER f;
QueryPerformanceFrequency(&f);
dpFreq=(double)f.QuadPart; //计时器频率
while(true)
{
MAXN*=10;
L.elem=new int[MAXN+1];
L.length=MAXN;
cout<<"第"<<k++<<"次测试, 数量级:"<<MAXN<<endl<<endl;
srand((unsigned)time(NULL));
for(int i=1;i<L.length;i++)
L.elem[i]=rand();
QueryPerformanceCounter(&time_start); //计时开始
InsertSort(L);
QueryPerformanceCounter(&time_over); //计时结束
run_time=Decimal*(time_over.QuadPart-time_start.QuadPart)/dpFreq;
cout<<"插入排序:"<<run_time<<"ms"<<endl;
for(int i=1;i<L.length;i++)
L.elem[i]=rand();
QueryPerformanceCounter(&time_start);
InsertSort(L);
QueryPerformanceCounter(&time_over);
run_time=Decimal*(time_over.QuadPart-time_start.QuadPart)/dpFreq;
cout<<"二分排序:"<<run_time<<"ms"<<endl;
int dt[100001],t=100;
QueryPerformanceCounter(&time_start);
ShellSort(L,dt,t);
QueryPerformanceCounter(&time_over);
run_time=Decimal*(time_over.QuadPart-time_start.QuadPart)/dpFreq;
cout<<"希尔排序:"<<run_time<<"ms"<<endl;
for(int i=1;i<L.length;i++)
L.elem[i]=rand();
QueryPerformanceCounter(&time_start);
BubbleSort(L);
QueryPerformanceCounter(&time_over);
run_time=Decimal*(time_over.QuadPart-time_start.QuadPart)/dpFreq;
cout<<"冒泡排序:"<<run_time<<"ms"<<endl;
for(int i=1;i<L.length;i++)
L.elem[i]=rand();
QueryPerformanceCounter(&time_start);
QuickSort(L);
QueryPerformanceCounter(&time_over);
run_time=Decimal*(time_over.QuadPart-time_start.QuadPart)/dpFreq;
cout<<"快速排序:"<<run_time<<"ms"<<endl;
cout<<endl<<endl<<endl;
if(MAXN>=10000)break;
}
return 0;
}

Output

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第1次测试, 数量级:10

插入排序:0.00037758ms
二分排序:0.00037758ms
希尔排序:0.00302064ms
冒泡排序:0.00037758ms
快速排序:0.000755161ms



第2次测试, 数量级:100

插入排序:0.00717403ms
二分排序:0.00830677ms
希尔排序:0.0256755ms
冒泡排序:0.027941ms
快速排序:0.00717403ms



第3次测试, 数量级:1000

插入排序:0.65548ms
二分排序:0.746099ms
希尔排序:0.288849ms
冒泡排序:2.10841ms
快速排序:0.0887314ms



第4次测试, 数量级:10000

插入排序:81.4585ms
二分排序:73.2691ms
希尔排序:4.76695ms
冒泡排序:357.605ms
快速排序:1.55676ms
赏点呗!