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version 1.33, 2015/01/23 01:18:13 version 1.38, 2020/06/30 22:38:17
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 /*=========================================== /*===========================================
  
  The following 14 functions calculate the following spaceweather indices:  The following 14 functions calculate the following spaceweather indices:
Line 246  int computeB_total(float *bx_err, float
Line 247  int computeB_total(float *bx_err, float
 /*===========================================*/ /*===========================================*/
 /* Example function 5:  Derivative of B_Total SQRT( (dBt/dx)^2 + (dBt/dy)^2 ) */ /* Example function 5:  Derivative of B_Total SQRT( (dBt/dx)^2 + (dBt/dy)^2 ) */
  
 int computeBtotalderivative(float *bt, int *dims, float *mean_derivative_btotal_ptr, int *mask, int *bitmask, float *derx_bt, float *dery_bt, float *bt_err, float *mean_derivative_btotal_err_ptr)  int computeBtotalderivative(float *bt, int *dims, float *mean_derivative_btotal_ptr, int *mask, int *bitmask, float *derx_bt, float *dery_bt, float *bt_err, float *mean_derivative_btotal_err_ptr, float *err_termAt, float *err_termBt)
 { {
  
     int nx = dims[0];     int nx = dims[0];
Line 266  int computeBtotalderivative(float *bt, i
Line 267  int computeBtotalderivative(float *bt, i
             for (j = 0; j <= ny-1; j++)             for (j = 0; j <= ny-1; j++)
         {         {
             derx_bt[j * nx + i] = (bt[j * nx + i+1] - bt[j * nx + i-1])*0.5;             derx_bt[j * nx + i] = (bt[j * nx + i+1] - bt[j * nx + i-1])*0.5;
              err_termAt[j * nx + i] = (((bt[j * nx + (i+1)]-bt[j * nx + (i-1)])*(bt[j * nx + (i+1)]-bt[j * nx + (i-1)])) * (bt_err[j * nx + (i+1)]*bt_err[j * nx + (i+1)] + bt_err[j * nx + (i-1)]*bt_err[j * nx + (i-1)])) ;
         }         }
     }     }
  
Line 275  int computeBtotalderivative(float *bt, i
Line 277  int computeBtotalderivative(float *bt, i
             for (j = 1; j <= ny-2; j++)             for (j = 1; j <= ny-2; j++)
         {         {
             dery_bt[j * nx + i] = (bt[(j+1) * nx + i] - bt[(j-1) * nx + i])*0.5;             dery_bt[j * nx + i] = (bt[(j+1) * nx + i] - bt[(j-1) * nx + i])*0.5;
              err_termBt[j * nx + i] = (((bt[(j+1) * nx + i]-bt[(j-1) * nx + i])*(bt[(j+1) * nx + i]-bt[(j-1) * nx + i])) * (bt_err[(j+1) * nx + i]*bt_err[(j+1) * nx + i] + bt_err[(j-1) * nx + i]*bt_err[(j-1) * nx + i])) ;
         }         }
     }     }
  
       /* consider the edges for the arrays that contribute to the variable "sum" in the computation below.
     /* consider the edges */      ignore the edges for the error terms as those arrays have been initialized to zero.
       this is okay because the error term will ultimately not include the edge pixels as they are selected out by the mask and bitmask arrays.*/
     i=0;     i=0;
     for (j = 0; j <= ny-1; j++)     for (j = 0; j <= ny-1; j++)
     {     {
Line 304  int computeBtotalderivative(float *bt, i
Line 308  int computeBtotalderivative(float *bt, i
         dery_bt[j * nx + i] = ( (3*bt[j * nx + i]) + (-4*bt[(j-1) * nx + i]) - (-bt[(j-2) * nx + i]) )*0.5;         dery_bt[j * nx + i] = ( (3*bt[j * nx + i]) + (-4*bt[(j-1) * nx + i]) - (-bt[(j-2) * nx + i]) )*0.5;
     }     }
  
       // Calculate the sum only
     for (i = 1; i <= nx-2; i++)     for (i = 1; i <= nx-2; i++)
     {     {
         for (j = 1; j <= ny-2; j++)         for (j = 1; j <= ny-2; j++)
Line 320  int computeBtotalderivative(float *bt, i
Line 324  int computeBtotalderivative(float *bt, i
             if isnan(derx_bt[j * nx + i]) continue;             if isnan(derx_bt[j * nx + i]) continue;
             if isnan(dery_bt[j * nx + i]) continue;             if isnan(dery_bt[j * nx + i]) continue;
             sum += sqrt( derx_bt[j * nx + i]*derx_bt[j * nx + i]  + dery_bt[j * nx + i]*dery_bt[j * nx + i]  ); /* Units of Gauss */             sum += sqrt( derx_bt[j * nx + i]*derx_bt[j * nx + i]  + dery_bt[j * nx + i]*dery_bt[j * nx + i]  ); /* Units of Gauss */
             err += (((bt[(j+1) * nx + i]-bt[(j-1) * nx + i])*(bt[(j+1) * nx + i]-bt[(j-1) * nx + i])) * (bt_err[(j+1) * nx + i]*bt_err[(j+1) * nx + i] + bt_err[(j-1) * nx + i]*bt_err[(j-1) * nx + i])) / (16.0*( derx_bt[j * nx + i]*derx_bt[j * nx + i]  + dery_bt[j * nx + i]*dery_bt[j * nx + i]  ))+              err += err_termBt[j * nx + i] / (16.0*( derx_bt[j * nx + i]*derx_bt[j * nx + i]  + dery_bt[j * nx + i]*dery_bt[j * nx + i]  ))+
             (((bt[j * nx + (i+1)]-bt[j * nx + (i-1)])*(bt[j * nx + (i+1)]-bt[j * nx + (i-1)])) * (bt_err[j * nx + (i+1)]*bt_err[j * nx + (i+1)] + bt_err[j * nx + (i-1)]*bt_err[j * nx + (i-1)])) / (16.0*( derx_bt[j * nx + i]*derx_bt[j * nx + i]  + dery_bt[j * nx + i]*dery_bt[j * nx + i]  )) ;                     err_termAt[j * nx + i] / (16.0*( derx_bt[j * nx + i]*derx_bt[j * nx + i]  + dery_bt[j * nx + i]*dery_bt[j * nx + i]  )) ;
             count_mask++;             count_mask++;
         }         }
     }     }
Line 338  int computeBtotalderivative(float *bt, i
Line 342  int computeBtotalderivative(float *bt, i
 /*===========================================*/ /*===========================================*/
 /* Example function 6:  Derivative of Bh SQRT( (dBh/dx)^2 + (dBh/dy)^2 ) */ /* Example function 6:  Derivative of Bh SQRT( (dBh/dx)^2 + (dBh/dy)^2 ) */
  
 int computeBhderivative(float *bh, float *bh_err, int *dims, float *mean_derivative_bh_ptr, float *mean_derivative_bh_err_ptr, int *mask, int *bitmask, float *derx_bh, float *dery_bh)  int computeBhderivative(float *bh, float *bh_err, int *dims, float *mean_derivative_bh_ptr, float *mean_derivative_bh_err_ptr, int *mask, int *bitmask, float *derx_bh, float *dery_bh, float *err_termAh, float *err_termBh)
 { {
  
     int nx = dims[0];     int nx = dims[0];
Line 358  int computeBhderivative(float *bh, float
Line 362  int computeBhderivative(float *bh, float
             for (j = 0; j <= ny-1; j++)             for (j = 0; j <= ny-1; j++)
         {         {
             derx_bh[j * nx + i] = (bh[j * nx + i+1] - bh[j * nx + i-1])*0.5;             derx_bh[j * nx + i] = (bh[j * nx + i+1] - bh[j * nx + i-1])*0.5;
              err_termAh[j * nx + i] = (((bh[j * nx + (i+1)]-bh[j * nx + (i-1)])*(bh[j * nx + (i+1)]-bh[j * nx + (i-1)])) * (bh_err[j * nx + (i+1)]*bh_err[j * nx + (i+1)] + bh_err[j * nx + (i-1)]*bh_err[j * nx + (i-1)]));
         }         }
     }     }
  
Line 367  int computeBhderivative(float *bh, float
Line 372  int computeBhderivative(float *bh, float
             for (j = 1; j <= ny-2; j++)             for (j = 1; j <= ny-2; j++)
         {         {
             dery_bh[j * nx + i] = (bh[(j+1) * nx + i] - bh[(j-1) * nx + i])*0.5;             dery_bh[j * nx + i] = (bh[(j+1) * nx + i] - bh[(j-1) * nx + i])*0.5;
             err_termBh[j * nx + i] = (((bh[ (j+1) * nx + i]-bh[(j-1) * nx + i])*(bh[(j+1) * nx + i]-bh[(j-1) * nx + i])) * (bh_err[(j+1) * nx + i]*bh_err[(j+1) * nx + i] + bh_err[(j-1) * nx + i]*bh_err[(j-1) * nx + i]));
         }         }
     }     }
  
       /* consider the edges for the arrays that contribute to the variable "sum" in the computation below.
     /* consider the edges */      ignore the edges for the error terms as those arrays have been initialized to zero.
       this is okay because the error term will ultimately not include the edge pixels as they are selected out by the mask and bitmask arrays.*/
     i=0;     i=0;
     for (j = 0; j <= ny-1; j++)     for (j = 0; j <= ny-1; j++)
     {     {
Line 412  int computeBhderivative(float *bh, float
Line 419  int computeBhderivative(float *bh, float
             if isnan(derx_bh[j * nx + i]) continue;             if isnan(derx_bh[j * nx + i]) continue;
             if isnan(dery_bh[j * nx + i]) continue;             if isnan(dery_bh[j * nx + i]) continue;
             sum += sqrt( derx_bh[j * nx + i]*derx_bh[j * nx + i]  + dery_bh[j * nx + i]*dery_bh[j * nx + i]  ); /* Units of Gauss */             sum += sqrt( derx_bh[j * nx + i]*derx_bh[j * nx + i]  + dery_bh[j * nx + i]*dery_bh[j * nx + i]  ); /* Units of Gauss */
             err += (((bh[(j+1) * nx + i]-bh[(j-1) * nx + i])*(bh[(j+1) * nx + i]-bh[(j-1) * nx + i])) * (bh_err[(j+1) * nx + i]*bh_err[(j+1) * nx + i] + bh_err[(j-1) * nx + i]*bh_err[(j-1) * nx + i])) / (16.0*( derx_bh[j * nx + i]*derx_bh[j * nx + i]  + dery_bh[j * nx + i]*dery_bh[j * nx + i]  ))+              err += err_termBh[j * nx + i] / (16.0*( derx_bh[j * nx + i]*derx_bh[j * nx + i]  + dery_bh[j * nx + i]*dery_bh[j * nx + i]  ))+
             (((bh[j * nx + (i+1)]-bh[j * nx + (i-1)])*(bh[j * nx + (i+1)]-bh[j * nx + (i-1)])) * (bh_err[j * nx + (i+1)]*bh_err[j * nx + (i+1)] + bh_err[j * nx + (i-1)]*bh_err[j * nx + (i-1)])) / (16.0*( derx_bh[j * nx + i]*derx_bh[j * nx + i]  + dery_bh[j * nx + i]*dery_bh[j * nx + i]  )) ;                     err_termAh[j * nx + i] / (16.0*( derx_bh[j * nx + i]*derx_bh[j * nx + i]  + dery_bh[j * nx + i]*dery_bh[j * nx + i]  )) ;
             count_mask++;             count_mask++;
         }         }
     }     }
Line 429  int computeBhderivative(float *bh, float
Line 436  int computeBhderivative(float *bh, float
 /*===========================================*/ /*===========================================*/
 /* Example function 7:  Derivative of B_vertical SQRT( (dBz/dx)^2 + (dBz/dy)^2 ) */ /* Example function 7:  Derivative of B_vertical SQRT( (dBz/dx)^2 + (dBz/dy)^2 ) */
  
 int computeBzderivative(float *bz, float *bz_err, int *dims, float *mean_derivative_bz_ptr, float *mean_derivative_bz_err_ptr, int *mask, int *bitmask, float *derx_bz, float *dery_bz)  int computeBzderivative(float *bz, float *bz_err, int *dims, float *mean_derivative_bz_ptr, float *mean_derivative_bz_err_ptr, int *mask, int *bitmask, float *derx_bz, float *dery_bz, float *err_termA, float *err_termB)
 { {
  
     int nx = dims[0];     int nx = dims[0];
Line 448  int computeBzderivative(float *bz, float
Line 455  int computeBzderivative(float *bz, float
     {     {
             for (j = 0; j <= ny-1; j++)             for (j = 0; j <= ny-1; j++)
         {         {
             if isnan(bz[j * nx + i]) continue;  
             derx_bz[j * nx + i] = (bz[j * nx + i+1] - bz[j * nx + i-1])*0.5;             derx_bz[j * nx + i] = (bz[j * nx + i+1] - bz[j * nx + i-1])*0.5;
              err_termA[j * nx + i] = (((bz[j * nx + (i+1)]-bz[j * nx + (i-1)])*(bz[j * nx + (i+1)]-bz[j * nx + (i-1)])) * (bz_err[j * nx + (i+1)]*bz_err[j * nx + (i+1)] + bz_err[j * nx + (i-1)]*bz_err[j * nx + (i-1)]));
         }         }
     }     }
  
Line 458  int computeBzderivative(float *bz, float
Line 465  int computeBzderivative(float *bz, float
     {     {
             for (j = 1; j <= ny-2; j++)             for (j = 1; j <= ny-2; j++)
         {         {
             if isnan(bz[j * nx + i]) continue;  
             dery_bz[j * nx + i] = (bz[(j+1) * nx + i] - bz[(j-1) * nx + i])*0.5;             dery_bz[j * nx + i] = (bz[(j+1) * nx + i] - bz[(j-1) * nx + i])*0.5;
              err_termB[j * nx + i] = (((bz[(j+1) * nx + i]-bz[(j-1) * nx + i])*(bz[(j+1) * nx + i]-bz[(j-1) * nx + i])) * (bz_err[(j+1) * nx + i]*bz_err[(j+1) * nx + i] + bz_err[(j-1) * nx + i]*bz_err[(j-1) * nx + i]));
         }         }
     }     }
  
       /* consider the edges for the arrays that contribute to the variable "sum" in the computation below.
     /* consider the edges */      ignore the edges for the error terms as those arrays have been initialized to zero.
       this is okay because the error term will ultimately not include the edge pixels as they are selected out by the mask and bitmask arrays.*/
     i=0;     i=0;
     for (j = 0; j <= ny-1; j++)     for (j = 0; j <= ny-1; j++)
     {     {
         if isnan(bz[j * nx + i]) continue;  
         derx_bz[j * nx + i] = ( (-3*bz[j * nx + i]) + (4*bz[j * nx + (i+1)]) - (bz[j * nx + (i+2)]) )*0.5;         derx_bz[j * nx + i] = ( (-3*bz[j * nx + i]) + (4*bz[j * nx + (i+1)]) - (bz[j * nx + (i+2)]) )*0.5;
     }     }
  
     i=nx-1;     i=nx-1;
     for (j = 0; j <= ny-1; j++)     for (j = 0; j <= ny-1; j++)
     {     {
         if isnan(bz[j * nx + i]) continue;  
         derx_bz[j * nx + i] = ( (3*bz[j * nx + i]) + (-4*bz[j * nx + (i-1)]) - (-bz[j * nx + (i-2)]) )*0.5;         derx_bz[j * nx + i] = ( (3*bz[j * nx + i]) + (-4*bz[j * nx + (i-1)]) - (-bz[j * nx + (i-2)]) )*0.5;
     }     }
  
     j=0;     j=0;
     for (i = 0; i <= nx-1; i++)     for (i = 0; i <= nx-1; i++)
     {     {
         if isnan(bz[j * nx + i]) continue;  
         dery_bz[j * nx + i] = ( (-3*bz[j*nx + i]) + (4*bz[(j+1) * nx + i]) - (bz[(j+2) * nx + i]) )*0.5;         dery_bz[j * nx + i] = ( (-3*bz[j*nx + i]) + (4*bz[(j+1) * nx + i]) - (bz[(j+2) * nx + i]) )*0.5;
     }     }
  
     j=ny-1;     j=ny-1;
     for (i = 0; i <= nx-1; i++)     for (i = 0; i <= nx-1; i++)
     {     {
         if isnan(bz[j * nx + i]) continue;  
         dery_bz[j * nx + i] = ( (3*bz[j * nx + i]) + (-4*bz[(j-1) * nx + i]) - (-bz[(j-2) * nx + i]) )*0.5;         dery_bz[j * nx + i] = ( (3*bz[j * nx + i]) + (-4*bz[(j-1) * nx + i]) - (-bz[(j-2) * nx + i]) )*0.5;
     }     }
  
Line 509  int computeBzderivative(float *bz, float
Line 513  int computeBzderivative(float *bz, float
             if isnan(derx_bz[j * nx + i]) continue;             if isnan(derx_bz[j * nx + i]) continue;
             if isnan(dery_bz[j * nx + i]) continue;             if isnan(dery_bz[j * nx + i]) continue;
             sum += sqrt( derx_bz[j * nx + i]*derx_bz[j * nx + i]  + dery_bz[j * nx + i]*dery_bz[j * nx + i]  ); /* Units of Gauss */             sum += sqrt( derx_bz[j * nx + i]*derx_bz[j * nx + i]  + dery_bz[j * nx + i]*dery_bz[j * nx + i]  ); /* Units of Gauss */
             err += (((bz[(j+1) * nx + i]-bz[(j-1) * nx + i])*(bz[(j+1) * nx + i]-bz[(j-1) * nx + i])) * (bz_err[(j+1) * nx + i]*bz_err[(j+1) * nx + i] + bz_err[(j-1) * nx + i]*bz_err[(j-1) * nx + i])) /              err += err_termB[j * nx + i] / (16.0*( derx_bz[j * nx + i]*derx_bz[j * nx + i]  + dery_bz[j * nx + i]*dery_bz[j * nx + i]  )) +
             (16.0*( derx_bz[j * nx + i]*derx_bz[j * nx + i]  + dery_bz[j * nx + i]*dery_bz[j * nx + i]  )) +                     err_termA[j * nx + i] / (16.0*( derx_bz[j * nx + i]*derx_bz[j * nx + i]  + dery_bz[j * nx + i]*dery_bz[j * nx + i]  )) ;
             (((bz[j * nx + (i+1)]-bz[j * nx + (i-1)])*(bz[j * nx + (i+1)]-bz[j * nx + (i-1)])) * (bz_err[j * nx + (i+1)]*bz_err[j * nx + (i+1)] + bz_err[j * nx + (i-1)]*bz_err[j * nx + (i-1)])) /  
             (16.0*( derx_bz[j * nx + i]*derx_bz[j * nx + i]  + dery_bz[j * nx + i]*dery_bz[j * nx + i]  )) ;  
             count_mask++;             count_mask++;
         }         }
     }     }
Line 582  int computeJz(float *bx_err, float *by_e
Line 584  int computeJz(float *bx_err, float *by_e
     {     {
             for (j = 0; j <= ny-1; j++)             for (j = 0; j <= ny-1; j++)
         {         {
             if isnan(by[j * nx + i]) continue;  
             derx[j * nx + i]      = (by[j * nx + i+1] - by[j * nx + i-1])*0.5;             derx[j * nx + i]      = (by[j * nx + i+1] - by[j * nx + i-1])*0.5;
             err_term1[j * nx + i] = (by_err[j * nx + i+1])*(by_err[j * nx + i+1]) + (by_err[j * nx + i-1])*(by_err[j * nx + i-1]);             err_term1[j * nx + i] = (by_err[j * nx + i+1])*(by_err[j * nx + i+1]) + (by_err[j * nx + i-1])*(by_err[j * nx + i-1]);
         }         }
Line 592  int computeJz(float *bx_err, float *by_e
Line 593  int computeJz(float *bx_err, float *by_e
     {     {
             for (j = 1; j <= ny-2; j++)             for (j = 1; j <= ny-2; j++)
         {         {
             if isnan(bx[j * nx + i]) continue;  
             dery[j * nx + i]      = (bx[(j+1) * nx + i] - bx[(j-1) * nx + i])*0.5;             dery[j * nx + i]      = (bx[(j+1) * nx + i] - bx[(j-1) * nx + i])*0.5;
             err_term2[j * nx + i] = (bx_err[(j+1) * nx + i])*(bx_err[(j+1) * nx + i]) + (bx_err[(j-1) * nx + i])*(bx_err[(j-1) * nx + i]);             err_term2[j * nx + i] = (bx_err[(j+1) * nx + i])*(bx_err[(j+1) * nx + i]) + (bx_err[(j-1) * nx + i])*(bx_err[(j-1) * nx + i]);
         }         }
     }     }
  
     // consider the edges      /* consider the edges for the arrays that contribute to the variable "sum" in the computation below.
       ignore the edges for the error terms as those arrays have been initialized to zero.
       this is okay because the error term will ultimately not include the edge pixels as they are selected out by the mask and bitmask arrays.*/
   
     i=0;     i=0;
     for (j = 0; j <= ny-1; j++)     for (j = 0; j <= ny-1; j++)
     {     {
         if isnan(by[j * nx + i]) continue;  
         derx[j * nx + i]      = ( (-3*by[j * nx + i]) + (4*by[j * nx + (i+1)]) - (by[j * nx + (i+2)]) )*0.5;         derx[j * nx + i]      = ( (-3*by[j * nx + i]) + (4*by[j * nx + (i+1)]) - (by[j * nx + (i+2)]) )*0.5;
         err_term1[j * nx + i] = ( (3*by_err[j * nx + i])*(3*by_err[j * nx + i]) + (4*by_err[j * nx + (i+1)])*(4*by_err[j * nx + (i+1)]) + (by_err[j * nx + (i+2)])*(by_err[j * nx + (i+2)]) );  
     }     }
  
     i=nx-1;     i=nx-1;
     for (j = 0; j <= ny-1; j++)     for (j = 0; j <= ny-1; j++)
     {     {
         if isnan(by[j * nx + i]) continue;  
         derx[j * nx + i]      = ( (3*by[j * nx + i]) + (-4*by[j * nx + (i-1)]) - (-by[j * nx + (i-2)]) )*0.5;         derx[j * nx + i]      = ( (3*by[j * nx + i]) + (-4*by[j * nx + (i-1)]) - (-by[j * nx + (i-2)]) )*0.5;
         err_term1[j * nx + i] = ( (3*by_err[j * nx + i])*(3*by_err[j * nx + i]) + (4*by_err[j * nx + (i+1)])*(4*by_err[j * nx + (i+1)]) + (by_err[j * nx + (i+2)])*(by_err[j * nx + (i+2)]) );  
     }     }
  
     j=0;     j=0;
     for (i = 0; i <= nx-1; i++)     for (i = 0; i <= nx-1; i++)
     {     {
         if isnan(bx[j * nx + i]) continue;  
         dery[j * nx + i]      = ( (-3*bx[j*nx + i]) + (4*bx[(j+1) * nx + i]) - (bx[(j+2) * nx + i]) )*0.5;         dery[j * nx + i]      = ( (-3*bx[j*nx + i]) + (4*bx[(j+1) * nx + i]) - (bx[(j+2) * nx + i]) )*0.5;
         err_term2[j * nx + i] = ( (3*bx_err[j*nx + i])*(3*bx_err[j*nx + i]) + (4*bx_err[(j+1) * nx + i])*(4*bx_err[(j+1) * nx + i]) + (bx_err[(j+2) * nx + i])*(bx_err[(j+2) * nx + i]) );  
     }     }
  
     j=ny-1;     j=ny-1;
     for (i = 0; i <= nx-1; i++)     for (i = 0; i <= nx-1; i++)
     {     {
         if isnan(bx[j * nx + i]) continue;  
         dery[j * nx + i]      = ( (3*bx[j * nx + i]) + (-4*bx[(j-1) * nx + i]) - (-bx[(j-2) * nx + i]) )*0.5;         dery[j * nx + i]      = ( (3*bx[j * nx + i]) + (-4*bx[(j-1) * nx + i]) - (-bx[(j-2) * nx + i]) )*0.5;
         err_term2[j * nx + i] = ( (3*bx_err[j*nx + i])*(3*bx_err[j*nx + i]) + (4*bx_err[(j+1) * nx + i])*(4*bx_err[(j+1) * nx + i]) + (bx_err[(j+2) * nx + i])*(bx_err[(j+2) * nx + i]) );  
   
     }     }
  
  
Line 837  int computeHelicity(float *jz_err, float
Line 831  int computeHelicity(float *jz_err, float
 /* Example function 12:  Sum of Absolute Value per polarity  */ /* Example function 12:  Sum of Absolute Value per polarity  */
  
 //  The Sum of the Absolute Value per polarity is defined as the following: //  The Sum of the Absolute Value per polarity is defined as the following:
 //  fabs(sum(jz gt 0)) + fabs(sum(jz lt 0)) and the units are in Amperes per arcsecond.  //  fabs(sum(jz gt 0)) + fabs(sum(jz lt 0)) and the units are in Amperes per square arcsecond.
 //  The units of jz are in G/pix. In this case, we would have the following: //  The units of jz are in G/pix. In this case, we would have the following:
 //  Jz = (Gauss/pix)(1/CDELT1)(0.00010)(1/MUNAUGHT)(RSUN_REF/RSUN_OBS)(RSUN_REF/RSUN_OBS)(RSUN_OBS/RSUN_REF), //  Jz = (Gauss/pix)(1/CDELT1)(0.00010)(1/MUNAUGHT)(RSUN_REF/RSUN_OBS)(RSUN_REF/RSUN_OBS)(RSUN_OBS/RSUN_REF),
 //     = (Gauss/pix)(1/CDELT1)(0.00010)(1/MUNAUGHT)(RSUN_REF/RSUN_OBS) //     = (Gauss/pix)(1/CDELT1)(0.00010)(1/MUNAUGHT)(RSUN_REF/RSUN_OBS)
Line 1240  int computeLorentz(float *bx, float *by
Line 1234  int computeLorentz(float *bx, float *by
  
 } }
  
   /*===========================================*/
   
   /* Example function 17: Compute total unsigned flux in units of G/cm^2 on the LOS field */
   
   //  To compute the unsigned flux, we simply calculate
   //  flux = surface integral [(vector LOS) dot (normal vector)],
   //       = surface integral [(magnitude LOS)*(magnitude normal)*(cos theta)].
   //  However, since the field is radial, we will assume cos theta = 1.
   //  Therefore the pixels only need to be corrected for the projection.
   
   //  To convert G to G*cm^2, simply multiply by the number of square centimeters per pixel.
   //  As an order of magnitude estimate, we can assign 0.5 to CDELT1 and 722500m/arcsec to (RSUN_REF/RSUN_OBS).
   //  (Gauss/pix^2)(CDELT1)^2(RSUN_REF/RSUN_OBS)^2(100.cm/m)^2
   //  =Gauss*cm^2
   
   int computeAbsFlux_los(float *los, int *dims, float *absFlux,
                          float *mean_vf_ptr, float *count_mask_ptr,
                          int *bitmask, float cdelt1, double rsun_ref, double rsun_obs)
   
   {
   
       int nx = dims[0];
       int ny = dims[1];
       int i = 0;
       int j = 0;
       int count_mask = 0;
       double sum = 0.0;
       *absFlux = 0.0;
       *mean_vf_ptr = 0.0;
   
   
       if (nx <= 0 || ny <= 0) return 1;
   
           for (i = 0; i < nx; i++)
           {
              for (j = 0; j < ny; j++)
              {
               if ( bitmask[j * nx + i] < 30 ) continue;
               if isnan(los[j * nx + i]) continue;
               sum += (fabs(los[j * nx + i]));
               count_mask++;
              }
           }
   
       *mean_vf_ptr     = sum*cdelt1*cdelt1*(rsun_ref/rsun_obs)*(rsun_ref/rsun_obs)*100.0*100.0;
       *count_mask_ptr  = count_mask;
   
       return 0;
   }
   
   /*===========================================*/
   /* Example function 18:  Derivative of B_LOS (approximately B_vertical) = SQRT( ( dLOS/dx )^2 + ( dLOS/dy )^2 ) */
   
   int computeLOSderivative(float *los, int *dims, float *mean_derivative_los_ptr, int *bitmask, float *derx_los, float *dery_los)
   {
   
       int nx = dims[0];
       int ny = dims[1];
       int i = 0;
       int j = 0;
       int count_mask = 0;
       double sum = 0.0;
       *mean_derivative_los_ptr = 0.0;
   
       if (nx <= 0 || ny <= 0) return 1;
   
       /* brute force method of calculating the derivative (no consideration for edges) */
       for (i = 1; i <= nx-2; i++)
       {
           for (j = 0; j <= ny-1; j++)
           {
              derx_los[j * nx + i] = (los[j * nx + i+1] - los[j * nx + i-1])*0.5;
           }
       }
   
       /* brute force method of calculating the derivative (no consideration for edges) */
       for (i = 0; i <= nx-1; i++)
       {
           for (j = 1; j <= ny-2; j++)
           {
              dery_los[j * nx + i] = (los[(j+1) * nx + i] - los[(j-1) * nx + i])*0.5;
           }
       }
   
       /* consider the edges for the arrays that contribute to the variable "sum" in the computation below.
       ignore the edges for the error terms as those arrays have been initialized to zero.
       this is okay because the error term will ultimately not include the edge pixels as they are selected out by the mask and bitmask arrays.*/
       i=0;
       for (j = 0; j <= ny-1; j++)
       {
           derx_los[j * nx + i] = ( (-3*los[j * nx + i]) + (4*los[j * nx + (i+1)]) - (los[j * nx + (i+2)]) )*0.5;
       }
   
       i=nx-1;
       for (j = 0; j <= ny-1; j++)
       {
           derx_los[j * nx + i] = ( (3*los[j * nx + i]) + (-4*los[j * nx + (i-1)]) - (-los[j * nx + (i-2)]) )*0.5;
       }
   
       j=0;
       for (i = 0; i <= nx-1; i++)
       {
           dery_los[j * nx + i] = ( (-3*los[j*nx + i]) + (4*los[(j+1) * nx + i]) - (los[(j+2) * nx + i]) )*0.5;
       }
   
       j=ny-1;
       for (i = 0; i <= nx-1; i++)
       {
           dery_los[j * nx + i] = ( (3*los[j * nx + i]) + (-4*los[(j-1) * nx + i]) - (-los[(j-2) * nx + i]) )*0.5;
       }
   
   
       for (i = 0; i <= nx-1; i++)
       {
           for (j = 0; j <= ny-1; j++)
           {
               if ( bitmask[j * nx + i] < 30 ) continue;
               if ( (derx_los[j * nx + i] + dery_los[j * nx + i]) == 0) continue;
               if isnan(los[j * nx + i])      continue;
               if isnan(los[(j+1) * nx + i])  continue;
               if isnan(los[(j-1) * nx + i])  continue;
               if isnan(los[j * nx + i-1])    continue;
               if isnan(los[j * nx + i+1])    continue;
               if isnan(derx_los[j * nx + i]) continue;
               if isnan(dery_los[j * nx + i]) continue;
               sum += sqrt( derx_los[j * nx + i]*derx_los[j * nx + i]  + dery_los[j * nx + i]*dery_los[j * nx + i] ); /* Units of Gauss */
               count_mask++;
           }
       }
   
       *mean_derivative_los_ptr = (sum)/(count_mask); // would be divided by ((nx-2)*(ny-2)) if shape of count_mask = shape of magnetogram
       //printf("mean_derivative_los_ptr=%f\n",*mean_derivative_los_ptr);
   
           return 0;
   }
   
 /*==================KEIJI'S CODE =========================*/ /*==================KEIJI'S CODE =========================*/
  
 // #include <omp.h> // #include <omp.h>

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