📄 test1.cpp
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#include<iostream>
#include<cmath>
#include<time.h>
using namespace std;
struct node{double x,y,wucha;bool ok;}a[111],a1[111];
bool c[111][111];
int i,j,n,m,s,p,q,k,chang,kuan;
double totwc,wucha,e[111][111];
int jiefangcheng(int i0,int i1,int i2,int i3){
double d1,d2,d3,y1,y2,x1,x2,t1,t2,t3,t4,o,x,y,a11,a12,a21,a22,zhi,p,q,b11,b12,b21,b22;
if(e[i1][i2]+e[i2][i0]<e[i1][i0])return 0;
p=2*(a[i2].x-a[i1].x);
q=2*(a[i2].y-a[i1].y);
o=e[i0][i1]*e[i0][i1]-e[i0][i2]*e[i0][i2]-a[i1].x*a[i1].x+a[i2].x*a[i2].x-a[i1].y*a[i1].y+a[i2].y*a[i2].y;
if(abs(p)<1e-6){
y2=y1=o/q;
t1=1;
t2=-2*a[i1].x;
t3=a[i1].x*a[i1].x-e[i0][i1]*e[i0][i1]+(y1-a[i1].y)*(y1-a[i1].y);
if(t2*t2-4*t1*t3<-1e-6)return 0;
x1=(-t2+sqrt(t2*t2-4*t1*t3))/2/t1;
x2=(-t2-sqrt(t2*t2-4*t1*t3))/2/t1;
}else{
t1=q*q/p/p+1;
t2=-2*o*q/p/p+2*a[i1].x*q/p-2*a[i1].y;
t3=o*o/p/p+a[i1].x*a[i1].x-2*a[i1].x*o/p+a[i1].y*a[i1].y-e[i0][i1]*e[i0][i1];
if(t2*t2-4*t1*t3<-1e-6)return 0;
y1=(-t2+sqrt(t2*t2-4*t1*t3))/2/t1;
y2=(-t2-sqrt(t2*t2-4*t1*t3))/2/t1;
x1=(o-q*y1)/p;
x2=(o-q*y2)/p;
}
d1=(x1-a[i3].x)*(x1-a[i3].x)+(y1-a[i3].y)*(y1-a[i3].y);
d2=(x2-a[i3].x)*(x2-a[i3].x)+(y2-a[i3].y)*(y2-a[i3].y);
d3=e[i0][i3]*e[i0][i3];
if(abs(d1-d3)<abs(d2-d3)){x=x1;y=y1;}else{x=x2;y=y2;}
a1[i0].x=x;
a1[i0].y=y;
a1[i0].ok=1;
return 1;
}
void cal(int k){
int i,j,p,b[5],tmp=0;
bool c[111],hasans=0;
while(1){
++tmp;
memset(c,0,sizeof(c));
for(i=1;i<=3;i++){
while(1){p=rand()%m+1;if(c[p]==0){c[p]=1;break;}}
b[i]=p;
}
for(i=1;i<=3;i++)for(j=i+1;j<=3;j++)if(e[b[i]][k]<e[b[j]][k]){p=b[i];b[i]=b[j];b[j]=p;}
if(jiefangcheng(k,b[1],b[2],b[3])){hasans=1;break;}else
if(jiefangcheng(k,b[1],b[3],b[2])){hasans=1;break;}else
if(jiefangcheng(k,b[2],b[3],b[1])){hasans=1;break;}
if(tmp>10)break;
}
}
int main(){
srand(time(0));
printf("请输入总节点个数,基站个数,误差值:");
cin>>n>>m>>wucha;//m为基站个数
printf("请输入网络区域的长、宽:");
cin>>chang>>kuan;
++chang;++kuan;
freopen("output1.txt","w",stdout);
//m=10;wucha=0.3;
for(i=1;i<=n;i++){
while(1){
p=rand()%chang;
q=rand()%kuan;
if(c[p][q]==0){
c[p][q]=1;
break;
}
}
a[i].x=p;
a[i].y=q;
}
//a[1].x=41;a[1].y=85;a[2].x=72;a[2].y=38;a[3].x=80;a[3].y=69;a[4].x=96;a[4].y=22;
for(i=1;i<=n;i++)
for(j=1;j<=n;j++)
e[i][j]=sqrt((a[i].x-a[j].x)*(a[i].x-a[j].x)+(a[i].y-a[j].y)*(a[i].y-a[j].y))+wucha*10;
for(i=m+1;i<=n;i++)cal(i);
// for(i=1;i<=n;i++)cout<<a[i].x<<' '<<a[i].y<<endl;
for(i=m+1;i<=n;i++)if(a1[i].ok)a1[i].wucha=sqrt((a1[i].x-a[i].x)*(a1[i].x-a[i].x)+(a1[i].y-a[i].y)*(a1[i].y-a[i].y));
for(i=m+1;i<=n;i++)if(a1[i].ok)totwc+=a1[i].wucha;
printf("总误差: ");
cout<<totwc<<endl;
for(i=1;i<=m;i++)
a1[i].ok=1;
// for(i=m+1;i<=n;i++)if(a1[i].ok){
for(i=1;i<=n;i++)if(a1[i].ok){
//printf("第%d个点的原始坐标: ",i);
cout<<a[i].x<<' '<<a[i].y<<' '<<a1[i].x<<' '<<a1[i].y<<' '<<a1[i].wucha<<endl;
//printf("算出的第%d个点的坐标和误差: ",i);
//cout<<a1[i].x<<' '<<a1[i].y<<' '<<a1[i].wucha<<endl;
}else cout<<"Cannot Find."<<endl;
return(0);
}
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