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sa.cpp
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executable file
·296 lines (235 loc) · 6.53 KB
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#include "sa.h"
#include <stdio.h>
#include <stdlib.h>
#include <ctime>
#include <math.h>
SA::SA(int QueensNum,double Temperature ,double SA_delta)
{
this->QueensNum = QueensNum;
this->Temperature = Temperature;
this->detT = SA_delta;
this->QueensResult = new int[QueensNum];
}
SA::~SA()
{
delete[] QueensResult;
}
/**********************************************************/
bool SA::equal(int *a ,int* b)
{
for(int i=0;i<QueensNum;i++)
if(a[i] != b[i] )
return false;
return true;
}
void SA::copy2to1(int *a ,int* b,int n)
{
for(int i=0;i<n;i++)
a[i] = b[i];
}
int SA::y(int * pop)
{
int y =0;
for(int i=0;i<QueensNum;i++)
{
int value = pop[i];
for (int j = 0; j < i; j++)
{
int data = pop[j];
if (value == data)
y++;
else if ((j + data) == (i + value))//主对角线
y++;
else if ((j - data) == (i - value))//副对角线
y++;
}
}
return y;
}
/**********************************************************/
int * SA::best2(int *Queens)
{
int *maxQueens = new int[QueensNum];
copy2to1(maxQueens,Queens,QueensNum);
int max = y(maxQueens);
int nextNum = 2*QueensNum;
int nextQueens[nextNum][QueensNum];
int val[nextNum];
for(int i=0; i<nextNum ; i++)
{
copy2to1(nextQueens[i],Queens,QueensNum);
}
for(int i=0; i<nextNum ; i++)
{
if(i%2 == 0)
{
if(nextQueens[i][i/2]>0)
{
nextQueens[i][i/2]--;
val[i] = -y(nextQueens[i]);
}
if(nextQueens[i+1][i/2]<QueensNum-1)
{
nextQueens[i+1][i/2]++;
val[i+1] = -y(nextQueens[i+1]);
}
}
}
int temp[QueensNum];
int valTemp;
for(int i=0 ;i< nextNum-1; i++) // 根据个体适应度来排序;(冒泡法)
{
for(int j=0; j < nextNum-1-i; j++)
{
if( val[j+1] > val[j])
{
valTemp = val[j+1];
copy2to1(temp,nextQueens[j+1],QueensNum);
val[j+1] = val[j];
copy2to1(nextQueens[j+1],nextQueens[j],QueensNum);
val[j] = valTemp;
copy2to1(nextQueens[j],temp,QueensNum);
}
}
}
int random = rand()%nextNum;
if(random<=0) random = 1;
copy2to1(maxQueens,nextQueens[random],QueensNum);
max = y(maxQueens);
if(max!=0)
{
int bester = int(nextNum/32) +2;
srand((unsigned)time(0));
int random=rand ()%100; // 随机产生到之间的数;
if(random < 10 )
{
int it = rand()%bester+1;
copy2to1(maxQueens,nextQueens[it],QueensNum);
}
}
return maxQueens;
}
int* SA::theNext(int *Queens,double T)
{
int *maxQueens = new int[QueensNum];
copy2to1(maxQueens,Queens,QueensNum);
int max = -y(maxQueens);
int nextNum = pow(2,QueensNum)+1;
int nextQueens[nextNum][QueensNum];
int val[nextNum];
int r =int(T/TemperatureBuf*nextNum+0.5);
if(r<1)r=1;
copy2to1(nextQueens[1],Queens,QueensNum);
if(nextQueens[1][0]>0 )nextQueens[1][0]--;
val[1] = -y(nextQueens[1]);
copy2to1(nextQueens[2],Queens,QueensNum);
if(nextQueens[2][0]<QueensNum-1 )nextQueens[2][0]++;
val[2] = -y(nextQueens[2]);
long long int next=2;
for(int i=1; i< QueensNum ; i++ )
{
next = next*2;
for(int j=next/2+1 ;j<=next;j++)
{
copy2to1(nextQueens[j],nextQueens[(j+1)/2],QueensNum);
if( j%2 == 0 )
{
if(nextQueens[j-1][i]>0) nextQueens[j-1][i]--;
val[j-1] = -y(nextQueens[j-1]);
if(nextQueens[j][i]<QueensNum-1 )nextQueens[j][i]++;
val[j] = -y(nextQueens[j]);
}
}
}
int temp[QueensNum];
int valTemp;
for(int i=1 ;i< nextNum-1; i++) // 根据个体适应度来排序;(冒泡法)
{
for(int j=1; j < nextNum-1-i; j++)
{
if( val[j+1] > val[j])
{
valTemp = val[j+1];
copy2to1(temp,nextQueens[j+1],QueensNum);
val[j+1] = val[j];
copy2to1(nextQueens[j+1],nextQueens[j],QueensNum);
val[j] = valTemp;
copy2to1(nextQueens[j],temp,QueensNum);
}
}
}
int random = rand()%nextNum;
if(random<=0) random = 1;
copy2to1(maxQueens,nextQueens[random],QueensNum);
return maxQueens;
}
void SA::calculate()
{
int initQueens[QueensNum];
//随机初始化
srand((unsigned)time(0));
for(int i=0; i<QueensNum ; i++)
initQueens[i] = rand()%QueensNum;
int maxQueens[QueensNum];
copy2to1(maxQueens,initQueens,QueensNum);
int max = y(maxQueens);
int *nextQueens;
Temperature = Temperature *10000;
TemperatureBuf = Temperature;
double det = 0;
int tag = 0;
while(Temperature>=0.0001)
{
det = Temperature - Temperature * detT;
Temperature = Temperature * detT;
nextQueens = best2(initQueens);
if( (y(nextQueens)-y(initQueens))<0)
{
copy2to1(initQueens,nextQueens,QueensNum);
tag=0;
}else
{
if(exp(det/Temperature) < rand()%100/(double)101)
{
copy2to1(initQueens,nextQueens,QueensNum);
tag=0;
}else
tag++;
}
if(max>y(initQueens))
{
copy2to1(maxQueens,initQueens,QueensNum);
max = y(maxQueens);
}
if(y(initQueens)==0)
break;
}
delete[] nextQueens;
copy2to1(QueensResult,maxQueens,QueensNum);
}
//int main()
//{
// int Qnum = 15;
// SA sa(Qnum,100);
// sa.calculate();
// int Result[Qnum];
// sa.copy2to1(Result,sa.QueensResult,Qnum);
// int max = sa.y(Result);
//// printf("\n 当皇后最小冲突个数为 %d 时,模型求解结果为= " ,max);
//// for(int i=0 ; i<Qnum ; i++)
//// printf("%d",Result[i]);
//// //输出一个模型:
//// for(int i=0 ; i<Qnum ; i++)
//// {
//// printf("\n");
//// int j=0;
//// for(j=0;j<= Result[i]-1;j++)
//// printf("0\t");
//// printf("#\t");
//// for(j= Result[i]+1 ;j<Qnum;j++)
//// printf("0\t");
//// printf("\n");
//// }
//// printf("\n\n end ! \n\n " );
// return 0;
//}