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#include "udf.h"

#include "sg.h"

#include "sg_mphase.h"

#include "flow.h"

#include <math.h>

double gt(double x[],double y[]);
double GS(double a[4][4],double b[4],double x[4]);
double max(double array[4]);

DEFINE_ADJUST(store_gradient,domain)
{
  int phase_domain_index = 0;
  real xc[ND_ND],xd[ND_ND],x[4],n1,n2,thita_l,thita_g;
  Thread *t;
  Thread **pt;
  cell_t c;

  Domain *pDomain = DOMAIN_SUB_DOMAIN(domain,phase_domain_index);
  {
   Alloc_Storage_Vars(pDomain,SV_VOF_RG,SV_VOF_G,SV_NULL);
   Scalar_Reconstruction(pDomain, SV_VOF,-1,SV_VOF_RG,NULL);
   Scalar_Derivatives(pDomain,SV_VOF,-1,SV_VOF_G,SV_VOF_RG,Vof_Deriv_Accumulate);
  }
  mp_thread_loop_c(t,domain,pt)
{
  if (FLUID_THREAD_P(t))
  {
   int N=0;
   Thread *ppt = pt[phase_domain_index];

   begin_c_loop (c,t)
   {
          C_CENTROID(xd,c,t);
      if(C_VOF(c, ppt)>0.1&&C_VOF(c, ppt)<0.9&&fabs(xd[0]-0)>0.0005)
             N++;
   }
   end_c_loop (c,t)

   double a[N],b[N],c[N],d[N],e[N],f[N],g[N];

   int i;
   for(i=0; i<N; i++)
   {
       a=1;
   }

   int j=0;
   begin_c_loop (c,t)
   {
     C_CENTROID(xc,c,t);
     if(C_VOF(c, ppt)>0.1&&C_VOF(c, ppt)<0.9&&fabs(xc[0]-0)>0.0005)
     {
        b[j]=xc[0];
        e[j]=xc[1];
        c[j]=b[j]*b[j];
        d[j]=b[j]*b[j]*b[j];
                j++;  
     }
   }
   end_c_loop (c,t)
   f[0]=gt(a,a);f[1]=gt(a,b);f[2]=gt(a,c);f[3]=gt(a,d);f[4]=gt(b,b);f[5]=gt(b,c);f[6]=gt(b,d);
   f[7]=gt(c,c);f[8]=gt(c,d);f[9]=gt(d,d);g[0]=gt(a,e);g[1]=gt(b,e);g[2]=gt(c,e);g[3]=gt(d,e);
   double array[4][4]={{f[0],f[1],f[2],f[3]},{f[1],f[4],f[5],f[6]},{f[2],f[5],f[7],f[8]},{f[3],f[6],f[8],f[9]}};
   GS(array,g,x);
   C_UDMI(c,t,0) = x[0];
   C_UDMI(c,t,1) = x[1];
   C_UDMI(c,t,2) = x[2];
   C_UDMI(c,t,3) = x[3];
  }
}
  Free_Storage_Vars(pDomain,SV_VOF_RG,SV_VOF_G,SV_NULL);
}

double gt(double x[],double y[])
{   
    double sum=0;
        int i;
    for(i=0;i<N;i++)
       sum=x*y+sum;
    return sum;
}

double GS(double a[4][4],double b[4],double x[4])
{
    double c[4]={0};
    double x0[4]={0};
    int i,j,k;
    double sum=0;
    for(k=1;;k++)
    {
        for(i=0;i<4;i++)
        {
            for(j=0;j<4;j++)
            {
                sum=a[j]*x0[j]+sum;
            }
            x=x0+(b-sum)/a;
            c=fabs(x-x0);
            x0=x;
            sum=0;
        }
        r=max(c);
        if(r<0.0001)
        {
            break;
         }
    }
    return 0;
}

double max(double array[4])
{
    double a=array[0];
        int i;
    for(i=0;i<4;i++)
   {
        if(a<array)
           a=array;
    }
    return a;
}
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