导线测量求解程序

坐标的推算【精度==0.00m】

测量学平p135页，电脑算出来的与书上给出的数据分毫不差

今天测量学的实习数据处理

1：输入数据：

 

2：观测角误差的自动消除：

3：输入起始坐标方位角：

4：坐标方位角的自动推算：

5：坐标增量的推算：

6：坐标增量误差的自动消除：

7：起始坐标的输入：

8：其它导线点的推算：

 #include<iostream>
#include<cmath>
#include<iomanip>
#define run
#define pi 3.1415926
using namespace std;
int main()
{
 int diao(long double max,int j,int n,int i,int U,int B[100],long double d[100]);
 int diao2(long double min,int j,int n,int i,int U,int b[100],long double d[100]);
 int n,a[100],l,i,j,m,U,X,h,r[100],t[100],fd[100],ff[100],fm[100],vx[100],vy[100];
 int he=0,He=0,chazhi1,chazhi2;
 static int b[100],B[100];
 long double d[100],e[100],s=0,g=0,k,max,min,u[100],x[100],y[100],c[100],mima;
 long double sum=0,Sum=0,f,K,yunxu,xh[100],yz[100];    
 do
 {
  cout<<"输入口令:"<<endl;
  cin>>mima;
  if(mima!=8105)
  {
   cout<<"口令错误!!!"<<endl;
  }
 }
 while(mima!=8105);
 cout<<"输入所测导线点的个数:";
 cin>>n;
 for(i=1;i<=n;i++)
 {
  cout<<"输入"<<i<<"观测角的度，分，秒与"<<i<<"导线边的距离:"<<endl;
  cin>>a[i]>>B[i]>>c[i]>>d[i];
  e[i]=a[i]+(long double)B[i]/60+(long double)c[i]/3600;
  s=s+e[i];
  g=g+d[i];
 }
#ifdef run
 cout<<"距离和为"<<g<<"米"<<endl;
#endif
 h=(s-(n-2)*180)*3600;
 k=60*sqrt(n);
 if(abs(h)>k)
 {
  cout<<"---------------------------------------------------------"<<"不合精度要求"<<endl;
 }
 else
 {
  cout<<"---------------------------------------------------------"<<"符合精度要求"<<endl;
  l=-h/n;
  if(l*n==-h)
  {
   cout<<"-----------------------------------------------------"<<"改正数为"<<l<<"秒"<<endl;
   for(i=1;i<=n;i++)
   {
    e[i]=e[i]+(long double)l/3600;
#ifdef run
    cout<<"改正角为"<<e[i]<<"度"<<endl;
#endif
   }
  }
  else if(l*n>-h)
  {
   for(i=1;i<=n;i++)
   {
    e[i]=e[i]+(long double)l/3600;
   }
   m=l*n+h;
#ifdef run
      cout<<"------------------------------------------------------"<<"改正多了"<<m<<"秒";                       
#endif
   for(i=1;i<=m;i++)
   {
    diao(max,j,n,i,U,B,d);
#ifdef run
    cout<<"-------------------------------------"<<"共需改正"<<m<<"个观测角"<<","<<i<<"号最长边为"<<"是"<<B[i]<<"号导线边"<<"--------"<<"距离为"<<d[B[i]]<<endl;
#endif
   }                                                      
   for(j=1;j<=l;j++)
   {
    if(B[j]==1)
    {
     if(d[2]<d[n])
     {
#ifdef run
      cout<<"2号观测角-1秒"<<endl;
#endif
      e[2]=e[2]-(long double)1/3600;
     }
     else
     {
#ifdef run
      cout<<"1号观测角-1秒"<<endl;
#endif
      e[1]=e[1]-(long double)1/3600;
     }
    }
    if(B[j]==n)
    {
     if(d[1]<d[n-1])
     {
#ifdef run
      cout<<"1号观测角-1秒"<<endl;
#endif
      e[1]=e[1]-(long double)1/3600;
     }
     else
     {
#ifdef run
      cout<<n-1<<"号观测角-1秒"<<endl;
#endif
      e[n-1]=e[n-1]-(long double)1/3600;
     }
    }
    for(X=2;X<n;X++)
    {
     if(B[j]==X)
     {
      if(d[X+1]<d[X-1])
      {
#ifdef run
       cout<<X+1<<"号观测角-1秒"<<endl;
#endif
       e[X+1]=e[X+1]-(long double)1/3600;                    //观测角的观测误差自动更正
      }
      else
      {
#ifdef run
       cout<<X<<"号观测角-1秒"<<endl;
#endif
       e[X]=e[X]-(long double)1/3600;
      }
     }
    }
   }
  }                          ///////////////////////////////////////////////////////////////////////////////////////////////
  else if(l*n<-h)
  {
   for(i=1;i<=n;i++)
   {
    e[i]=e[i]+(long double)l/3600;
   }
   m=-h-l*n;
#ifdef run
   cout<<"--------------------------------------------------------------"<<"改正少了"<<m<<"秒"<<endl;
#endif
            for(i=1;i<=m;i++)
   {
    diao2(min,j,n,i,U,b,d);
#ifdef run
    cout<<"-----------------------------------------------"<<"共需改正"<<m<<"个观测角"<<","<<i<<"号最短边为"<<"是"<<b[i]<<"号导线边"<<"--------"<<"距离为"<<d[b[i]]<<endl;
#endif
   }                                                      //////////////////////////////////////////////////////////
   for(j=1;j<=l;j++)
   {
    if(b[j]==1)
    {
     if(d[2]<d[n])
     {
#ifdef run
      cout<<"2号观测角+1秒"<<endl;
#endif
      e[2]=e[2]+(long double)1/3600;
     }
     else
     {
#ifdef run
      cout<<"1号观测角+1秒"<<endl;
#endif
      e[1]=e[1]+(long double)1/3600;
     }
    }
    if(b[j]==n)
    {
     if(d[1]<d[n-1])
     {
#ifdef run
      cout<<"1号观测角+1秒"<<endl;
#endif
      e[1]=e[1]+(long double)1/3600;
     }
     else
     {
#ifdef run
      cout<<n-1<<"号观测角+1秒"<<endl;
#endif
      e[n-1]=e[n-1]+(long double)1/3600;
     }
    }
    for(X=2;X<n;X++)
    {
     if(b[j]==X)
     {
      if(d[X+1]<d[X-1])
      {
#ifdef run
       cout<<X+1<<"号观测角+1秒"<<endl;
#endif
       e[X+1]=e[X+1]+(long double)1/3600;
      }
      else
      {
#ifdef run
       cout<<X<<"号观测角+1秒"<<endl;
#endif
       e[X]=e[X]+(long double)1/3600;
      }
     }
    }
   }
  }
  for(i=1;i<=n;i++)
  {
   a[i]=e[i]/1;
   b[i]=((e[i]-a[i])*60)/1;
   c[i]=(((e[i]-a[i])*60-b[i])*60)/1;
#ifdef run
   cout<<"-----------------------------------------"<<"改正后的"<<i<<"观测角为"<<a[i]<<"°"<<b[i]<<"′"<<c[i]<<"″"<<endl;
#endif
  }
  cout<<"输入方位角1的度，分，秒"<<endl;
  cin>>fd[1]>>ff[1]>>fm[1];
  u[1]=fd[1]+(long double)ff[1]/60+(long double)fm[1]/3600;
  for(i=2;i<=n;i++)                            //////////////////////////////////////////////////////////////////////
  {
   u[i]=u[i-1]+e[i]-180;
   u[3]=u[2]+e[3]+180;
  }
  for(i=1;i<=n;i++)
  {
   r[i]=u[i]/1;
   t[i]=((u[i]-r[i])*60)/1;
   y[i]=(((u[i]-r[i])*60-t[i])*60)/1;
#ifdef run
   cout<<"----------------------------------------"<<i<<"导线边的坐标方位角为:"<<r[i]<<"°"<<t[i]<<"′"<<y[i]<<"″"<<endl;
#endif
  }
  u[100]=u[n]+e[1]-180;
  r[100]=u[100]/1;
  t[100]=((u[100]-r[100])*60)/1;
  y[100]=(((u[100]-r[100])*60-t[100])*60)/1;
#ifdef run
  cout<<"-------------------------------------------"<<"推算到起始边时，推算的坐标方位角为:"<<r[100]<<"°"<<t[100]<<"′"<<y[100]<<"″"<<endl;
#endif
  if(r[100]!=r[1]&&t[100]!=t[1]&&y[100]!=y[1])                            ////有点问题
  {
   cout<<"推算的坐标方位角与原角不相等，查明原因直至符合!!!"<<endl;
  }
  else
  {
   for(i=1;i<=n;i++)
   {
    u[i]=u[i]*(pi/180);
   }
   cout<<"推算的坐标方位角与原角相等,接下来计算坐标增量。"<<endl<<endl;
   for(i=1;i<=n;i++)
   {
    e[i]=long double(e[i]*pi/180);
   }
   for(i=1;i<=n;i++)
   {
    x[i+1]=d[i]*sin(u[i]);
    y[i+1]=d[i]*cos(u[i]);
    if(x[i+1]>0)
    {
     x[i+1]=int(x[i+1]*100+0.5)/100.0;
    }
    else
    {
     x[i+1]=int(x[i+1]*100-0.5)/100.0;                        //四舍五入保留2位小数
    }
    if(y[i+1]>0)
    {
     y[i+1]=int(y[i+1]*100+0.5)/100.0;
    }
    else
    {
     y[i+1]=int(y[i+1]*100-0.5)/100.0;
    }
    sum=sum+x[i+1];
    Sum=Sum+y[i+1];
#ifdef run
    cout<<"-----------------------------------"<<i<<"导线纵坐标增量为"<<y[i+1]<<"m"<<"----"<<"横坐标增量为"<<x[i+1]<<"m"<<endl;
#endif
   }
#ifdef run
   cout<<"纵坐标增量闭合差为"<<Sum<<"米"<<" "<<"横坐标增量闭合差为"<<sum<<"米"<<endl;
#endif
   f=sqrt(pow(sum,2)+pow(Sum,2));
   K=double(f/g);   
#ifdef run
   cout<<"导线全长闭合差为"<<f<<"米"<<","<<setiosflags(ios::fixed)<<setprecision(5)<<"导线全长相对闭合差为"<<K<<"米"<<endl;
#endif
   yunxu=0.0005;
   if(K>=yunxu)
   {
    cout<<"成果不合格!!!"<<endl;                              //you wen ti
   }
   else
   {
    cout<<"符合精度要求"<<endl;
    for(i=1;i<=n;i++)
    {
     if(sum<0)
     {
      vx[i]=int(-sum*d[i]*100/g+0.5)/1.0;
     }
     else
     {
      vx[i]=int(-sum*d[i]*100/g-0.5)/1.0;                 //四舍五入取整
     }
     if(Sum<0)
     {
      vy[i]=int(-Sum*d[i]*100/g+0.5)/1.0;
     }
     else
     {
      vy[i]=int(-Sum*d[i]*100/g-0.5)/1.0;
     }
     he=he+vx[i];
     He=He+vy[i];
#ifdef run
     cout<<i<<"导线点"<<"横坐标增量改正数为"<<vx[i]<<"厘米"<<","<<"纵坐标增量改正数为"<<vy[i]<<"厘米"<<endl;
#endif
    }
#ifdef run
                cout<<"横坐标增量改正数之和为"<<he<<"厘米"<<","<<"纵坐标增量改正数之和为"<<He<<"厘米"<<endl;
#endif
    if(he==-sum&&He==-Sum)
    {
     for(i=1;i<=n;i++)
     {
      x[i+1]=x[i+1]+float(vx[i]/100);
      y[i+1]=y[i+1]+float(vy[i]/100);
#ifdef run
      cout<<"改正后的"<<i<<"导线纵坐标增量为"<<x[i+1]<<"米"<<","<<"横坐标增量为"<<y[i+1]<<"米"<<endl;
#endif
     }
    }
    chazhi1=he+sum*100;
    chazhi2=He+Sum*100;                        
#ifdef run
    cout<<chazhi1<<" "<<chazhi2<<endl;
#endif
    if(chazhi1>0&&chazhi2==0)
    {
#ifdef run
     cout<<"横坐标改正多了"<<chazhi1<<"厘米"<<endl;
#endif
                    for(i=1;i<=abs(chazhi1);i++)
     {
      b[i]=diao2(min,j,n,i,U,b,d);
      vx[b[i]]=vx[b[i]]-1;
#ifdef run
      cout<<b[i]<<"导线点横坐标少改正1cm"<<endl;
#endif
     }
    }
    if(chazhi1<0&&chazhi2==0)
    {
#ifdef run
     cout<<"横坐标改正少了"<<chazhi1<<"厘米"<<endl;             //坐标增量误差的自动更正
#endif
     for(i=1;i<=abs(chazhi1);i++)
     {
      diao(max,j,n,i,U,B,d);
      vx[B[i]]=vx[B[i]]+1;
#ifdef run
      cout<<B[i]<<"导线点横坐标多改正1cm"<<endl;
#endif
     }
    }
    if(chazhi1==0&&chazhi2>0)
    {
#ifdef run
     cout<<"纵坐标改正多了"<<chazhi1<<"厘米"<<endl;
#endif
     for(i=1;i<=abs(chazhi2);i++)
     {
      diao2(min,j,n,i,U,b,d);
      vy[b[i]]=vy[b[i]]-1;
#ifdef run
      cout<<b[i]<<"导线点纵坐标少改正1cm"<<endl;
#endif
     }
    }
    if(chazhi1==0&&chazhi2<0)
    {
#ifdef run
     cout<<"纵坐标改正少了"<<chazhi1<<"厘米"<<endl;
#endif
     for(i=1;i<=abs(chazhi2);i++)
     {
      diao(max,j,n,i,U,B,d);      
      vy[B[i]]=vy[B[i]]+1;     
#ifdef run
      cout<<B[i]<<"导线点纵坐标多改正1cm"<<endl;
#endif
     }
    }
    if(chazhi1>0&&chazhi2>0)
    {
#ifdef run
     cout<<"横坐标改正多了"<<chazhi1<<"厘米"<<","<<"纵坐标改正多了"<<chazhi2<<"厘米"<<endl;
#endif
     for(i=1;i<=abs(chazhi1);i++)
     {
      b[i]=diao2(min,j,n,i,U,b,d);
      vx[b[i]]=vx[b[i]]-1;
#ifdef run
      cout<<b[i]<<"导线点横坐标少改正1cm"<<endl;
#endif
     }
     for(i=1;i<=abs(chazhi2);i++)
     {
      diao2(min,j,n,i,U,b,d);
      vy[b[i]]=vy[b[i]]-1;
#ifdef run
      cout<<b[i]<<"导线点纵坐标少改正1cm"<<endl;
#endif
     }
    }
    if(chazhi1>0&&chazhi2<0)
    {
#ifdef run
     cout<<"横坐标改正多了"<<chazhi1<<"厘米"<<","<<"纵坐标改正少了"<<chazhi2<<"厘米"<<endl;
#endif
     for(i=1;i<=abs(chazhi1);i++)
     {
      diao2(min,j,n,i,U,b,d);
      vx[b[i]]=vx[b[i]]-1;
#ifdef run
      cout<<b[i]<<"导线点横坐标少改正1cm"<<endl;
#endif
     }
     for(i=1;i<=abs(chazhi2);i++)
     {
      diao(max,j,n,i,U,B,d);      
      vy[B[i]]=vy[B[i]]+1;     
#ifdef run
      cout<<B[i]<<"导线点纵坐标多改正1cm"<<endl;
#endif
     }
    }
    if(chazhi1<0&&chazhi2>0)
    {

#ifdef run
     cout<<"横坐标改正少了"<<chazhi1<<"厘米"<<","<<"纵坐标改正多了"<<chazhi2<<"厘米"<<endl;
#endif
     for(i=1;i<=abs(chazhi1);i++)
     {
      diao(max,j,n,i,U,B,d);      
      vx[B[i]]=vx[B[i]]+1;      
#ifdef run
      cout<<B[i]<<"导线点横坐标多改正1cm"<<endl;
#endif
     }
     for(i=1;i<=abs(chazhi2);i++)
     {
      diao2(min,j,n,i,U,b,d);     
      vy[b[i]]=vy[b[i]]-1;
#ifdef run
      cout<<b[i]<<"导线点纵坐标少改正1cm"<<endl;
#endif
     }
    }
    if(chazhi1<0&&chazhi2<0)
    {
#ifdef run
     cout<<"横坐标改正少了"<<chazhi1<<"厘米"<<","<<"纵坐标改正少了"<<chazhi2<<"厘米"<<endl;
#endif
     for(i=1;i<=abs(chazhi1);i++)
     {
      diao(max,j,n,i,U,B,d);      
      vx[B[i]]=vx[B[i]]+1;      
#ifdef run
      cout<<B[i]<<"导线点横坐标多改正1cm"<<endl;
#endif
     }
     for(i=1;i<=abs(chazhi2);i++)
     {
      diao(max,j,n,i,U,B,d);      
      vy[B[i]]=vy[B[i]]+1;      
#ifdef run
      cout<<B[i]<<"导线点纵坐标多改正1cm"<<endl;
#endif
     }
    }
    for(i=1;i<=n;i++)
    {
     x[i+1]=x[i+1]+(float)vx[i]/100;
     y[i+1]=y[i+1]+(float)vy[i]/100;
#ifdef run
     cout<<i<<"导线点的横坐标增量为"<<setiosflags(ios::fixed)<<setprecision(2)<<x[i+1]<<"m"<<","<<"纵坐标增量为"<<y[i+1]<<"m"<<endl;
#endif
    }
    cout<<"输入导线点1的坐标(xh[1],yz[1]):"<<endl;
    cin>>xh[1]>>yz[1];
    for(i=2;i<=n;i++)
    {
     xh[i]=xh[i-1]+x[i];
     yz[i]=yz[i-1]+y[i];
    }
    for(i=1;i<=n;i++)
    {
#ifdef run
     cout<<i<<"导线点的坐标为"<<setiosflags(ios::fixed)<<setprecision(2)<<"("<<xh[i]<<","<<yz[i]<<")"<<endl;
#endif
    }
    xh[n+1]=xh[n]+x[n+1];
    yz[n+1]=yz[n]+y[n+1];
    cout<<setiosflags(ios::fixed)<<setprecision(2)<<"推算出的起始坐标为("<<xh[n+1]<<","<<yz[n+1]<<")"<<endl<<endl;
    cout<<"-----------------------------------"<<"恭喜你!!!已经完成了闭合导线测量的内业计算!!!各导线点的坐标为:"<<endl;
    for(i=1;i<=n;i++)
    {
     cout<<setiosflags(ios::fixed)<<setprecision(2)<<"                "<<i<<"                   "<<"("<<xh[i]<<","<<yz[i]<<")"<<endl;
    }
   }
  }
 }
 return 0;
}
 int diao(long double max,int j,int n,int i,int U,int B[100],long double d[100])                    //调用的函数
 {
  max=0;
  for(j=1;j<=n;j++)
  {
   if(i>=2)
   {
    for(U=1;U<i;U++)
    {
     if(j==B[1]||j==B[2]||j==B[3]||j==B[4]||j==B[5]||j==B[6]||j==B[7]||j==B[8]||j==B[9]||j==B[10]||j==B[11]||j==B[12]||j==B[13]||j==B[14]||j==B[15]||j==B[16]||j==B[17]
         ||j==B[18]||j==B[19]||j==B[20]||j==B[21]||j==B[22]||j==B[23]||j==B[24]||j==B[25]||j==B[26]||j==B[27]||j==B[28]||j==B[29]||j==B[30]||j==B[31]||j==B[32]||j==B[33]
     ||j==B[34]||j==B[35]||j==B[36]||j==B[37]||j==B[38]||j==B[39]||j==B[40]||j==B[41]||j==B[42]||j==B[43]||j==B[44]||j==B[45]||j==B[46]||j==B[47]||j==B[48]||j==B[49])
     {
      j++;
     }
    }
   }
   if(j>n)
    break;
   else
   {
    max=(d[j]>max)?d[j]:max;
   }
  }
  for(j=1;j<=n;j++)
  {
   if(max==d[j])
   {
    B[i]=j;
   }
  }
  return 0;
 }
 int diao2(long double min,int j,int n,int i,int U,int b[100],long double d[100])
 {
 min=100000;
 for(j=1;j<=n;j++)
  {
   if(i>=2)
   {
    for(U=1;U<i;U++)
    {
     if(j==b[1]||j==b[2]||j==b[3]||j==b[4]||j==b[5]||j==b[6]||j==b[7]||j==b[8]||j==b[9]||j==b[10]||j==b[11]||j==b[12]||j==b[13]||j==b[14]||j==b[15]||j==b[16]||j==b[17]
         ||j==b[18]||j==b[19]||j==b[20]||j==b[21]||j==b[22]||j==b[23]||j==b[24]||j==b[25]||j==b[26]||j==b[27]||j==b[28]||j==b[29]||j==b[30]||j==b[31]||j==b[32]||j==b[33]
     ||j==b[34]||j==b[35]||j==b[36]||j==b[37]||j==b[38]||j==b[39]||j==b[40]||j==b[41]||j==b[42]||j==b[43]||j==b[44]||j==b[45]||j==b[46]||j==b[47]||j==b[48]||j==b[49])
     {
      j++;
     }
    }
   }
   if(j>n)
    break;
   else
   {
    min=(d[j]<min)?d[j]:min;
   }
  }
  for(j=1;j<=n;j++)
  {
   if(min==d[j])
   {
    b[i]=j;
   }
  }
  return b[i];
 }