|
version 1.4, 2012/12/18 23:05:10
|
version 1.35, 2015/03/02 21:41:31
|
|
|
|
| /*=========================================== | /*=========================================== |
| | |
| The following 13 functions calculate the following spaceweather indices: |
The following 14 functions calculate the following spaceweather indices: |
| | |
| USFLUX Total unsigned flux in Maxwells | USFLUX Total unsigned flux in Maxwells |
| MEANGAM Mean inclination angle, gamma, in degrees | MEANGAM Mean inclination angle, gamma, in degrees |
|
|
|
| MEANPOT Mean photospheric excess magnetic energy density in ergs per cubic centimeter | MEANPOT Mean photospheric excess magnetic energy density in ergs per cubic centimeter |
| TOTPOT Total photospheric magnetic energy density in ergs per cubic centimeter | TOTPOT Total photospheric magnetic energy density in ergs per cubic centimeter |
| MEANSHR Mean shear angle (measured using Btotal) in degrees | MEANSHR Mean shear angle (measured using Btotal) in degrees |
| |
R_VALUE Karel Schrijver's R parameter |
| | |
| The indices are calculated on the pixels in which the conf_disambig segment is greater than 70 and | The indices are calculated on the pixels in which the conf_disambig segment is greater than 70 and |
| pixels in which the bitmap segment is greater than 30. These ranges are selected because the CCD | pixels in which the bitmap segment is greater than 30. These ranges are selected because the CCD |
| coordinate bitmaps are interpolated. |
coordinate bitmaps are interpolated for certain data (at the time of this CVS submit, all data |
| |
prior to 2013.08.21_17:24:00_TAI contain interpolated bitmaps; data post-2013.08.21_17:24:00_TAI |
| |
contain nearest-neighbor bitmaps). |
| | |
| In the CCD coordinates, this means that we are selecting the pixels that equal 90 in conf_disambig | In the CCD coordinates, this means that we are selecting the pixels that equal 90 in conf_disambig |
| and the pixels that equal 33 or 44 in bitmap. Here are the definitions of the pixel values: |
and the pixels that equal 33 or 34 in bitmap. Here are the definitions of the pixel values: |
| | |
| For conf_disambig: | For conf_disambig: |
| 50 : not all solutions agree (weak field method applied) | 50 : not all solutions agree (weak field method applied) |
|
|
|
| | |
| Written by Monica Bobra 15 August 2012 | Written by Monica Bobra 15 August 2012 |
| Potential Field code (appended) written by Keiji Hayashi | Potential Field code (appended) written by Keiji Hayashi |
| |
Error analysis modification 21 October 2013 |
| | |
| ===========================================*/ | ===========================================*/ |
| #include <math.h> | #include <math.h> |
| |
#include <mkl.h> |
| | |
| #define PI (M_PI) | #define PI (M_PI) |
| #define MUNAUGHT (0.0000012566370614) /* magnetic constant */ | #define MUNAUGHT (0.0000012566370614) /* magnetic constant */ |
|
|
|
| // To convert G to G*cm^2, simply multiply by the number of square centimeters per pixel. | // 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). | // 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/pix^2)(CDELT1)^2(RSUN_REF/RSUN_OBS)^2(100.cm/m)^2 |
| // =(Gauss/pix^2)(0.5 arcsec/pix)^2(722500m/arcsec)^2(100cm/m)^2 |
// =Gauss*cm^2 |
| // =(1.30501e15)Gauss*cm^2 |
|
| | |
| // The disambig mask value selects only the pixels with values of 5 or 7 -- that is, |
int computeAbsFlux(float *bz_err, float *bz, int *dims, float *absFlux, |
| // 5: pixels for which the radial acute disambiguation solution was chosen |
float *mean_vf_ptr, float *mean_vf_err_ptr, float *count_mask_ptr, int *mask, |
| // 7: pixels for which the radial acute and NRWA disambiguation agree |
int *bitmask, float cdelt1, double rsun_ref, double rsun_obs) |
| |
|
| int computeAbsFlux(float *bz, int *dims, float *absFlux, |
|
| float *mean_vf_ptr, int *mask, int *bitmask, |
|
| float cdelt1, double rsun_ref, double rsun_obs) |
|
| | |
| { | { |
| | |
| int nx = dims[0], ny = dims[1]; |
int nx = dims[0]; |
| int i, j, count_mask=0; |
int ny = dims[1]; |
| |
int i = 0; |
| |
int j = 0; |
| |
int count_mask = 0; |
| double sum=0.0; | double sum=0.0; |
| |
double err = 0.0; |
| if (nx <= 0 || ny <= 0) return 1; |
|
| |
|
| *absFlux = 0.0; | *absFlux = 0.0; |
| *mean_vf_ptr =0.0; | *mean_vf_ptr =0.0; |
| | |
| for (j = 0; j < ny; j++) |
|
| { |
if (nx <= 0 || ny <= 0) return 1; |
| |
|
| for (i = 0; i < nx; i++) | for (i = 0; i < nx; i++) |
| { | { |
| |
for (j = 0; j < ny; j++) |
| |
{ |
| if ( mask[j * nx + i] < 70 || bitmask[j * nx + i] < 30 ) continue; | if ( mask[j * nx + i] < 70 || bitmask[j * nx + i] < 30 ) continue; |
| if isnan(bz[j * nx + i]) continue; | if isnan(bz[j * nx + i]) continue; |
| //printf("bz[j * nx + i]=%f\n",bz[j * nx + i]); |
|
| sum += (fabs(bz[j * nx + i])); | sum += (fabs(bz[j * nx + i])); |
| |
err += bz_err[j * nx + i]*bz_err[j * nx + i]; |
| count_mask++; | count_mask++; |
| } | } |
| } | } |
| | |
| printf("nx=%d,ny=%d,count_mask=%d,sum=%f\n",nx,ny,count_mask,sum); |
|
| printf("cdelt1=%f,rsun_ref=%f,rsun_obs=%f\n",cdelt1,rsun_ref,rsun_obs); |
|
| *mean_vf_ptr = sum*cdelt1*cdelt1*(rsun_ref/rsun_obs)*(rsun_ref/rsun_obs)*100.0*100.0; | *mean_vf_ptr = sum*cdelt1*cdelt1*(rsun_ref/rsun_obs)*(rsun_ref/rsun_obs)*100.0*100.0; |
| |
*mean_vf_err_ptr = (sqrt(err))*fabs(cdelt1*cdelt1*(rsun_ref/rsun_obs)*(rsun_ref/rsun_obs)*100.0*100.0); // error in the unsigned flux |
| |
*count_mask_ptr = count_mask; |
| return 0; | return 0; |
| } | } |
| | |
| /*===========================================*/ | /*===========================================*/ |
| /* Example function 2: Calculate Bh in units of Gauss */ |
/* Example function 2: Calculate Bh, the horizontal field, in units of Gauss */ |
| // Native units of Bh are Gauss | // Native units of Bh are Gauss |
| | |
| int computeBh(float *bx, float *by, float *bz, float *bh, int *dims, |
int computeBh(float *bx_err, float *by_err, float *bh_err, float *bx, float *by, float *bz, float *bh, int *dims, |
| float *mean_hf_ptr, int *mask, int *bitmask) | float *mean_hf_ptr, int *mask, int *bitmask) |
| | |
| { | { |
| | |
| int nx = dims[0], ny = dims[1]; |
int nx = dims[0]; |
| int i, j, count_mask=0; |
int ny = dims[1]; |
| float sum=0.0; |
int i = 0; |
| |
int j = 0; |
| |
int count_mask = 0; |
| |
double sum = 0.0; |
| *mean_hf_ptr =0.0; | *mean_hf_ptr =0.0; |
| | |
| if (nx <= 0 || ny <= 0) return 1; | if (nx <= 0 || ny <= 0) return 1; |
| | |
| |
for (i = 0; i < nx; i++) |
| |
{ |
| for (j = 0; j < ny; j++) | for (j = 0; j < ny; j++) |
| { | { |
| for (i = 0; i < nx; i++) |
if isnan(bx[j * nx + i]) |
| { | { |
| if isnan(bx[j * nx + i]) continue; |
bh[j * nx + i] = NAN; |
| if isnan(by[j * nx + i]) continue; |
bh_err[j * nx + i] = NAN; |
| |
continue; |
| |
} |
| |
if isnan(by[j * nx + i]) |
| |
{ |
| |
bh[j * nx + i] = NAN; |
| |
bh_err[j * nx + i] = NAN; |
| |
continue; |
| |
} |
| bh[j * nx + i] = sqrt( bx[j * nx + i]*bx[j * nx + i] + by[j * nx + i]*by[j * nx + i] ); | bh[j * nx + i] = sqrt( bx[j * nx + i]*bx[j * nx + i] + by[j * nx + i]*by[j * nx + i] ); |
| sum += bh[j * nx + i]; | sum += bh[j * nx + i]; |
| |
bh_err[j * nx + i]=sqrt( bx[j * nx + i]*bx[j * nx + i]*bx_err[j * nx + i]*bx_err[j * nx + i] + by[j * nx + i]*by[j * nx + i]*by_err[j * nx + i]*by_err[j * nx + i])/ bh[j * nx + i]; |
| count_mask++; | count_mask++; |
| } | } |
| } | } |
| | |
| *mean_hf_ptr = sum/(count_mask); // would be divided by nx*ny if shape of count_mask = shape of magnetogram | *mean_hf_ptr = sum/(count_mask); // would be divided by nx*ny if shape of count_mask = shape of magnetogram |
| printf("*mean_hf_ptr=%f\n",*mean_hf_ptr); |
|
| return 0; | return 0; |
| } | } |
| | |
| /*===========================================*/ | /*===========================================*/ |
| /* Example function 3: Calculate Gamma in units of degrees */ | /* Example function 3: Calculate Gamma in units of degrees */ |
| // Native units of atan(x) are in radians; to convert from radians to degrees, multiply by (180./PI) | // Native units of atan(x) are in radians; to convert from radians to degrees, multiply by (180./PI) |
| |
// |
| |
// Error analysis calculations are done in radians (since derivatives are only true in units of radians), |
| |
// and multiplied by (180./PI) at the end for consistency in units. |
| | |
| |
int computeGamma(float *bz_err, float *bh_err, float *bx, float *by, float *bz, float *bh, int *dims, |
| int computeGamma(float *bx, float *by, float *bz, float *bh, int *dims, |
float *mean_gamma_ptr, float *mean_gamma_err_ptr, int *mask, int *bitmask) |
| float *mean_gamma_ptr, int *mask, int *bitmask) |
|
| { | { |
| int nx = dims[0], ny = dims[1]; |
int nx = dims[0]; |
| int i, j, count_mask=0; |
int ny = dims[1]; |
| |
int i = 0; |
| |
int j = 0; |
| |
int count_mask = 0; |
| |
double sum = 0.0; |
| |
double err = 0.0; |
| |
*mean_gamma_ptr = 0.0; |
| | |
| if (nx <= 0 || ny <= 0) return 1; | if (nx <= 0 || ny <= 0) return 1; |
| | |
| *mean_gamma_ptr=0.0; |
|
| float sum=0.0; |
|
| int count=0; |
|
| |
|
| for (i = 0; i < nx; i++) | for (i = 0; i < nx; i++) |
| { | { |
| for (j = 0; j < ny; j++) | for (j = 0; j < ny; j++) |
| Line 157 int computeGamma(float *bx, float *by, f |
|
| Line 179 int computeGamma(float *bx, float *by, f |
|
| { | { |
| if ( mask[j * nx + i] < 70 || bitmask[j * nx + i] < 30 ) continue; | if ( mask[j * nx + i] < 70 || bitmask[j * nx + i] < 30 ) continue; |
| if isnan(bz[j * nx + i]) continue; | if isnan(bz[j * nx + i]) continue; |
| sum += (atan (fabs( bz[j * nx + i] / bh[j * nx + i] ))* (180./PI)); |
if isnan(bz_err[j * nx + i]) continue; |
| |
if isnan(bh_err[j * nx + i]) continue; |
| |
if isnan(bh[j * nx + i]) continue; |
| |
if (bz[j * nx + i] == 0) continue; |
| |
sum += fabs(atan(bh[j * nx + i]/fabs(bz[j * nx + i])))*(180./PI); |
| |
err += (1/(1+((bh[j * nx + i]*bh[j * nx + i])/(bz[j * nx + i]*bz[j * nx + i]))))*(1/(1+((bh[j * nx + i]*bh[j * nx + i])/(bz[j * nx + i]*bz[j * nx + i])))) * |
| |
( ((bh_err[j * nx + i]*bh_err[j * nx + i])/(bz[j * nx + i]*bz[j * nx + i])) + |
| |
((bh[j * nx + i]*bh[j * nx + i]*bz_err[j * nx + i]*bz_err[j * nx + i])/(bz[j * nx + i]*bz[j * nx + i]*bz[j * nx + i]*bz[j * nx + i])) ); |
| count_mask++; | count_mask++; |
| } | } |
| } | } |
| } | } |
| | |
| *mean_gamma_ptr = sum/count_mask; | *mean_gamma_ptr = sum/count_mask; |
| printf("*mean_gamma_ptr=%f\n",*mean_gamma_ptr); |
*mean_gamma_err_ptr = (sqrt(err)/(count_mask))*(180./PI); |
| |
//printf("MEANGAM=%f\n",*mean_gamma_ptr); |
| |
//printf("MEANGAM_err=%f\n",*mean_gamma_err_ptr); |
| return 0; | return 0; |
| } | } |
| | |
| Line 172 int computeGamma(float *bx, float *by, f |
|
| Line 203 int computeGamma(float *bx, float *by, f |
|
| /* Example function 4: Calculate B_Total*/ | /* Example function 4: Calculate B_Total*/ |
| // Native units of B_Total are in gauss | // Native units of B_Total are in gauss |
| | |
| int computeB_total(float *bx, float *by, float *bz, float *bt, int *dims, int *mask, int *bitmask) |
int computeB_total(float *bx_err, float *by_err, float *bz_err, float *bt_err, float *bx, float *by, float *bz, float *bt, int *dims, int *mask, int *bitmask) |
| { | { |
| | |
| int nx = dims[0], ny = dims[1]; |
int nx = dims[0]; |
| int i, j, count_mask=0; |
int ny = dims[1]; |
| |
int i = 0; |
| |
int j = 0; |
| |
int count_mask = 0; |
| | |
| if (nx <= 0 || ny <= 0) return 1; | if (nx <= 0 || ny <= 0) return 1; |
| | |
| Line 184 int computeB_total(float *bx, float *by, |
|
| Line 218 int computeB_total(float *bx, float *by, |
|
| { | { |
| for (j = 0; j < ny; j++) | for (j = 0; j < ny; j++) |
| { | { |
| if isnan(bx[j * nx + i]) continue; |
if isnan(bx[j * nx + i]) |
| if isnan(by[j * nx + i]) continue; |
{ |
| if isnan(bz[j * nx + i]) continue; |
bt[j * nx + i] = NAN; |
| |
bt_err[j * nx + i] = NAN; |
| |
continue; |
| |
} |
| |
if isnan(by[j * nx + i]) |
| |
{ |
| |
bt[j * nx + i] = NAN; |
| |
bt_err[j * nx + i] = NAN; |
| |
continue; |
| |
} |
| |
if isnan(bz[j * nx + i]) |
| |
{ |
| |
bt[j * nx + i] = NAN; |
| |
bt_err[j * nx + i] = NAN; |
| |
continue; |
| |
} |
| bt[j * nx + i] = sqrt( bx[j * nx + i]*bx[j * nx + i] + by[j * nx + i]*by[j * nx + i] + bz[j * nx + i]*bz[j * nx + i]); | bt[j * nx + i] = sqrt( bx[j * nx + i]*bx[j * nx + i] + by[j * nx + i]*by[j * nx + i] + bz[j * nx + i]*bz[j * nx + i]); |
| |
bt_err[j * nx + i]=sqrt(bx[j * nx + i]*bx[j * nx + i]*bx_err[j * nx + i]*bx_err[j * nx + i] + by[j * nx + i]*by[j * nx + i]*by_err[j * nx + i]*by_err[j * nx + i] + bz[j * nx + i]*bz[j * nx + i]*bz_err[j * nx + i]*bz_err[j * nx + i] ) / bt[j * nx + i]; |
| } | } |
| } | } |
| return 0; | return 0; |
| Line 196 int computeB_total(float *bx, float *by, |
|
| Line 246 int computeB_total(float *bx, float *by, |
|
| /*===========================================*/ | /*===========================================*/ |
| /* 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) |
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], ny = dims[1]; |
int nx = dims[0]; |
| int i, j, count_mask=0; |
int ny = dims[1]; |
| |
int i = 0; |
| if (nx <= 0 || ny <= 0) return 1; |
int j = 0; |
| |
int count_mask = 0; |
| |
double sum = 0.0; |
| |
double err = 0.0; |
| *mean_derivative_btotal_ptr = 0.0; | *mean_derivative_btotal_ptr = 0.0; |
| float sum = 0.0; |
|
| | |
| |
if (nx <= 0 || ny <= 0) return 1; |
| | |
| /* brute force method of calculating the derivative (no consideration for edges) */ | /* brute force method of calculating the derivative (no consideration for edges) */ |
| for (i = 1; i <= nx-2; i++) | for (i = 1; i <= nx-2; i++) |
| Line 214 int computeBtotalderivative(float *bt, i |
|
| Line 266 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 223 int computeBtotalderivative(float *bt, i |
|
| Line 276 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 252 int computeBtotalderivative(float *bt, i |
|
| Line 307 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 |
| /* Just some print statements |
for (i = 1; i <= nx-2; i++) |
| for (i = 0; i < nx; i++) |
|
| { |
|
| for (j = 0; j < ny; j++) |
|
| { |
|
| printf("j=%d\n",j); |
|
| printf("i=%d\n",i); |
|
| printf("dery_bt[j*nx+i]=%f\n",dery_bt[j*nx+i]); |
|
| printf("derx_bt[j*nx+i]=%f\n",derx_bt[j*nx+i]); |
|
| printf("bt[j*nx+i]=%f\n",bt[j*nx+i]); |
|
| } |
|
| } |
|
| */ |
|
| |
|
| for (i = 0; i <= nx-1; i++) |
|
| { | { |
| for (j = 0; j <= ny-1; j++) |
for (j = 1; j <= ny-2; j++) |
| { | { |
| // if ( (derx_bt[j * nx + i]-dery_bt[j * nx + i]) == 0) continue; |
|
| if ( mask[j * nx + i] < 70 || bitmask[j * nx + i] < 30 ) continue; | if ( mask[j * nx + i] < 70 || bitmask[j * nx + i] < 30 ) continue; |
| |
if ( (derx_bt[j * nx + i] + dery_bt[j * nx + i]) == 0) continue; |
| |
if isnan(bt[j * nx + i]) continue; |
| |
if isnan(bt[(j+1) * nx + i]) continue; |
| |
if isnan(bt[(j-1) * nx + i]) continue; |
| |
if isnan(bt[j * nx + i-1]) continue; |
| |
if isnan(bt[j * nx + i+1]) continue; |
| |
if isnan(bt_err[j * nx + i]) continue; |
| |
if isnan(derx_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 += 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] ))+ |
| |
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++; |
| } | } |
| } | } |
| | |
| *mean_derivative_btotal_ptr = (sum)/(count_mask); // would be divided by ((nx-2)*(ny-2)) if shape of count_mask = shape of magnetogram |
*mean_derivative_btotal_ptr = (sum)/(count_mask); |
| printf("*mean_derivative_btotal_ptr=%f\n",*mean_derivative_btotal_ptr); |
*mean_derivative_btotal_err_ptr = (sqrt(err))/(count_mask); |
| |
//printf("MEANGBT=%f\n",*mean_derivative_btotal_ptr); |
| |
//printf("MEANGBT_err=%f\n",*mean_derivative_btotal_err_ptr); |
| |
|
| return 0; | return 0; |
| } | } |
| | |
| Line 287 int computeBtotalderivative(float *bt, i |
|
| Line 341 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, int *dims, float *mean_derivative_bh_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], ny = dims[1]; |
int nx = dims[0]; |
| int i, j, count_mask=0; |
int ny = dims[1]; |
| |
int i = 0; |
| |
int j = 0; |
| |
int count_mask = 0; |
| |
double sum= 0.0; |
| |
double err =0.0; |
| |
*mean_derivative_bh_ptr = 0.0; |
| | |
| if (nx <= 0 || ny <= 0) return 1; | if (nx <= 0 || ny <= 0) return 1; |
| | |
| *mean_derivative_bh_ptr = 0.0; |
|
| float sum = 0.0; |
|
| |
|
| /* brute force method of calculating the derivative (no consideration for edges) */ | /* brute force method of calculating the derivative (no consideration for edges) */ |
| for (i = 1; i <= nx-2; i++) | for (i = 1; i <= nx-2; i++) |
| { | { |
| 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 313 int computeBhderivative(float *bh, int * |
|
| Line 371 int computeBhderivative(float *bh, int * |
|
| 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 343 int computeBhderivative(float *bh, int * |
|
| Line 403 int computeBhderivative(float *bh, int * |
|
| } | } |
| | |
| | |
| /*Just some print statements |
|
| for (i = 0; i < nx; i++) |
|
| { |
|
| for (j = 0; j < ny; j++) |
|
| { |
|
| printf("j=%d\n",j); |
|
| printf("i=%d\n",i); |
|
| printf("dery_bh[j*nx+i]=%f\n",dery_bh[j*nx+i]); |
|
| printf("derx_bh[j*nx+i]=%f\n",derx_bh[j*nx+i]); |
|
| printf("bh[j*nx+i]=%f\n",bh[j*nx+i]); |
|
| } |
|
| } |
|
| */ |
|
| |
|
| for (i = 0; i <= nx-1; i++) | for (i = 0; i <= nx-1; i++) |
| { | { |
| for (j = 0; j <= ny-1; j++) | for (j = 0; j <= ny-1; j++) |
| { | { |
| // if ( (derx_bh[j * nx + i]-dery_bh[j * nx + i]) == 0) continue; |
|
| if ( mask[j * nx + i] < 70 || bitmask[j * nx + i] < 30 ) continue; | if ( mask[j * nx + i] < 70 || bitmask[j * nx + i] < 30 ) continue; |
| |
if ( (derx_bh[j * nx + i] + dery_bh[j * nx + i]) == 0) continue; |
| |
if isnan(bh[j * nx + i]) continue; |
| |
if isnan(bh[(j+1) * nx + i]) continue; |
| |
if isnan(bh[(j-1) * nx + i]) continue; |
| |
if isnan(bh[j * nx + i-1]) continue; |
| |
if isnan(bh[j * nx + i+1]) continue; |
| |
if isnan(bh_err[j * nx + i]) continue; |
| |
if isnan(derx_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 += 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] ))+ |
| |
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++; |
| } | } |
| } | } |
| | |
| *mean_derivative_bh_ptr = (sum)/(count_mask); // would be divided by ((nx-2)*(ny-2)) if shape of count_mask = shape of magnetogram | *mean_derivative_bh_ptr = (sum)/(count_mask); // would be divided by ((nx-2)*(ny-2)) if shape of count_mask = shape of magnetogram |
| |
*mean_derivative_bh_err_ptr = (sqrt(err))/(count_mask); // error in the quantity (sum)/(count_mask) |
| |
//printf("MEANGBH=%f\n",*mean_derivative_bh_ptr); |
| |
//printf("MEANGBH_err=%f\n",*mean_derivative_bh_err_ptr); |
| |
|
| return 0; | return 0; |
| } | } |
| | |
| /*===========================================*/ | /*===========================================*/ |
| /* 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, int *dims, float *mean_derivative_bz_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], ny = dims[1]; |
int nx = dims[0]; |
| int i, j, count_mask=0; |
int ny = dims[1]; |
| |
int i = 0; |
| |
int j = 0; |
| |
int count_mask = 0; |
| |
double sum = 0.0; |
| |
double err = 0.0; |
| |
*mean_derivative_bz_ptr = 0.0; |
| | |
| if (nx <= 0 || ny <= 0) return 1; | if (nx <= 0 || ny <= 0) return 1; |
| | |
| *mean_derivative_bz_ptr = 0.0; |
|
| float sum = 0.0; |
|
| |
|
| /* brute force method of calculating the derivative (no consideration for edges) */ | /* brute force method of calculating the derivative (no consideration for edges) */ |
| for (i = 1; i <= nx-2; i++) | for (i = 1; i <= nx-2; i++) |
| { | { |
| 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 401 int computeBzderivative(float *bz, int * |
|
| Line 464 int computeBzderivative(float *bz, int * |
|
| { | { |
| 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; |
| } | } |
| | |
| | |
| /*Just some print statements |
|
| for (i = 0; i < nx; i++) |
|
| { |
|
| for (j = 0; j < ny; j++) |
|
| { |
|
| printf("j=%d\n",j); |
|
| printf("i=%d\n",i); |
|
| printf("dery_bz[j*nx+i]=%f\n",dery_bz[j*nx+i]); |
|
| printf("derx_bz[j*nx+i]=%f\n",derx_bz[j*nx+i]); |
|
| printf("bz[j*nx+i]=%f\n",bz[j*nx+i]); |
|
| } |
|
| } |
|
| */ |
|
| |
|
| for (i = 0; i <= nx-1; i++) | for (i = 0; i <= nx-1; i++) |
| { | { |
| for (j = 0; j <= ny-1; j++) | for (j = 0; j <= ny-1; j++) |
| { | { |
| // if ( (derx_bz[j * nx + i]-dery_bz[j * nx + i]) == 0) continue; |
|
| if ( mask[j * nx + i] < 70 || bitmask[j * nx + i] < 30 ) continue; | if ( mask[j * nx + i] < 70 || bitmask[j * nx + i] < 30 ) continue; |
| |
if ( (derx_bz[j * nx + i] + dery_bz[j * nx + i]) == 0) continue; |
| if isnan(bz[j * nx + i]) continue; | if isnan(bz[j * nx + i]) continue; |
| |
if isnan(bz[(j+1) * nx + i]) continue; |
| |
if isnan(bz[(j-1) * nx + i]) continue; |
| |
if isnan(bz[j * nx + i-1]) continue; |
| |
if isnan(bz[j * nx + i+1]) continue; |
| |
if isnan(bz_err[j * nx + i]) continue; |
| 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 += 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] )) + |
| |
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] )) ; |
| count_mask++; | count_mask++; |
| } | } |
| } | } |
| | |
| *mean_derivative_bz_ptr = (sum)/(count_mask); // would be divided by ((nx-2)*(ny-2)) if shape of count_mask = shape of magnetogram | *mean_derivative_bz_ptr = (sum)/(count_mask); // would be divided by ((nx-2)*(ny-2)) if shape of count_mask = shape of magnetogram |
| |
*mean_derivative_bz_err_ptr = (sqrt(err))/(count_mask); // error in the quantity (sum)/(count_mask) |
| |
//printf("MEANGBZ=%f\n",*mean_derivative_bz_ptr); |
| |
//printf("MEANGBZ_err=%f\n",*mean_derivative_bz_err_ptr); |
| |
|
| return 0; | return 0; |
| } | } |
| | |
| /*===========================================*/ | /*===========================================*/ |
| |
|
| /* Example function 8: Current Jz = (dBy/dx) - (dBx/dy) */ | /* Example function 8: Current Jz = (dBy/dx) - (dBx/dy) */ |
| | |
| // In discretized space like data pixels, | // In discretized space like data pixels, |
| Line 487 int computeBzderivative(float *bz, int * |
|
| Line 543 int computeBzderivative(float *bz, int * |
|
| // | // |
| // To change units from Gauss/pixel to mA/m^2 (the units for Jz in Leka and Barnes, 2003), | // To change units from Gauss/pixel to mA/m^2 (the units for Jz in Leka and Barnes, 2003), |
| // one must perform the following unit conversions: | // one must perform the following unit conversions: |
| // (Gauss/pix)(pix/arcsec)(arcsec/meter)(Newton/Gauss*Ampere*meter)(Ampere^2/Newton)(milliAmpere/Ampere), or |
// (Gauss)(1/arcsec)(arcsec/meter)(Newton/Gauss*Ampere*meter)(Ampere^2/Newton)(milliAmpere/Ampere), or |
| // (Gauss/pix)(1/CDELT1)(RSUN_OBS/RSUN_REF)(1 T / 10^4 Gauss)(1 / 4*PI*10^-7)( 10^3 milliAmpere/Ampere), |
// (Gauss)(1/CDELT1)(RSUN_OBS/RSUN_REF)(1 T / 10^4 Gauss)(1 / 4*PI*10^-7)( 10^3 milliAmpere/Ampere), or |
| |
// (Gauss)(1/CDELT1)(RSUN_OBS/RSUN_REF)(0.00010)(1/MUNAUGHT)(1000.), |
| // where a Tesla is represented as a Newton/Ampere*meter. | // where a Tesla is represented as a Newton/Ampere*meter. |
| // | // |
| // As an order of magnitude estimate, we can assign 0.5 to CDELT1 and 722500m/arcsec to (RSUN_REF/RSUN_OBS). | // As an order of magnitude estimate, we can assign 0.5 to CDELT1 and 722500m/arcsec to (RSUN_REF/RSUN_OBS). |
| Line 497 int computeBzderivative(float *bz, int * |
|
| Line 554 int computeBzderivative(float *bz, int * |
|
| // jz * (35.0) | // jz * (35.0) |
| // | // |
| // The units of total unsigned vertical current (us_i) are simply in A. In this case, we would have the following: | // The units of total unsigned vertical current (us_i) are simply in A. In this case, we would have the following: |
| // (Gauss/pix)(1/CDELT1)(RSUN_OBS/RSUN_REF)(0.00010)(1/MUNAUGHT)(RSUN_REF/RSUN_OBS)(RSUN_REF/RSUN_OBS)(1000.) |
// (Gauss/pix)(1/CDELT1)(RSUN_OBS/RSUN_REF)(0.00010)(1/MUNAUGHT)(CDELT1)(CDELT1)(RSUN_REF/RSUN_OBS)(RSUN_REF/RSUN_OBS) |
| // =(Gauss/pix)(1/CDELT1)(0.0010)(1/MUNAUGHT)(RSUN_REF/RSUN_OBS)(1000.) |
// = (Gauss/pix)(0.00010)(1/MUNAUGHT)(CDELT1)(RSUN_REF/RSUN_OBS) |
| // =(Gauss/pix)(1/0.5)(10^-4)(4*PI*10^7)(722500)(1000.) |
|
| // =(Gauss/pix)(1/CDELT1)(0.00010)(1/MUNAUGHT)(RSUN_REF/RSUN_OBS)(1000.) |
|
| | |
| int computeJz(float *bx, float *by, int *dims, float *jz, |
|
| float *mean_jz_ptr, float *us_i_ptr, int *mask, int *bitmask, |
|
| float cdelt1, double rsun_ref, double rsun_obs,float *derx, float *dery) |
|
| | |
| |
// Comment out random number generator, which can only run on solar3 |
| |
// int computeJz(float *bx_err, float *by_err, float *bx, float *by, int *dims, float *jz, float *jz_err, float *jz_err_squared, |
| |
// int *mask, int *bitmask, float cdelt1, double rsun_ref, double rsun_obs,float *derx, float *dery, float *noisebx, |
| |
// float *noiseby, float *noisebz) |
| | |
| |
int computeJz(float *bx_err, float *by_err, float *bx, float *by, int *dims, float *jz, float *jz_err, float *jz_err_squared, |
| |
int *mask, int *bitmask, float cdelt1, double rsun_ref, double rsun_obs,float *derx, float *dery, float *err_term1, float *err_term2) |
| | |
| { |
|
| | |
| int nx = dims[0], ny = dims[1]; |
{ |
| int i, j, count_mask=0; |
int nx = dims[0]; |
| |
int ny = dims[1]; |
| |
int i = 0; |
| |
int j = 0; |
| |
int count_mask = 0; |
| | |
| if (nx <= 0 || ny <= 0) return 1; | if (nx <= 0 || ny <= 0) return 1; |
| | |
| *mean_jz_ptr = 0.0; |
/* Calculate the derivative*/ |
| float curl=0.0, us_i=0.0,test_perimeter=0.0,mean_curl=0.0; |
|
| |
|
| |
|
| /* brute force method of calculating the derivative (no consideration for edges) */ | /* brute force method of calculating the derivative (no consideration for edges) */ |
| |
|
| for (i = 1; i <= nx-2; i++) | for (i = 1; i <= nx-2; i++) |
| { | { |
| 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]); |
| } | } |
| } | } |
| | |
| /* brute force method of calculating the derivative (no consideration for edges) */ |
|
| for (i = 0; i <= nx-1; i++) | for (i = 0; i <= nx-1; i++) |
| { | { |
| 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]); |
| } | } |
| } | } |
| | |
| |
/* 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.*/ |
| | |
| /* consider the edges */ |
|
| 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; |
| } | } |
| | |
| 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; |
| } | } |
| | |
| 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; |
| } | } |
| | |
| 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; |
| } | } |
| | |
| Line 574 int computeJz(float *bx, float *by, int |
|
| Line 630 int computeJz(float *bx, float *by, int |
|
| { | { |
| for (j = 0; j <= ny-1; j++) | for (j = 0; j <= ny-1; j++) |
| { | { |
| |
// calculate jz at all points |
| |
jz[j * nx + i] = (derx[j * nx + i]-dery[j * nx + i]); // jz is in units of Gauss/pix |
| |
jz_err[j * nx + i] = 0.5*sqrt( err_term1[j * nx + i] + err_term2[j * nx + i] ) ; |
| |
jz_err_squared[j * nx + i]= (jz_err[j * nx + i]*jz_err[j * nx + i]); |
| |
count_mask++; |
| |
} |
| |
} |
| |
return 0; |
| |
} |
| |
|
| |
/*===========================================*/ |
| |
|
| |
/* Example function 9: Compute quantities on Jz array */ |
| |
// Compute mean and total current on Jz array. |
| |
|
| |
int computeJzsmooth(float *bx, float *by, int *dims, float *jz, float *jz_smooth, float *jz_err, float *jz_rms_err, float *jz_err_squared_smooth, |
| |
float *mean_jz_ptr, float *mean_jz_err_ptr, float *us_i_ptr, float *us_i_err_ptr, int *mask, int *bitmask, |
| |
float cdelt1, double rsun_ref, double rsun_obs,float *derx, float *dery) |
| |
|
| |
{ |
| |
|
| |
int nx = dims[0]; |
| |
int ny = dims[1]; |
| |
int i = 0; |
| |
int j = 0; |
| |
int count_mask = 0; |
| |
double curl = 0.0; |
| |
double us_i = 0.0; |
| |
double err = 0.0; |
| |
|
| |
if (nx <= 0 || ny <= 0) return 1; |
| |
|
| |
/* At this point, use the smoothed Jz array with a Gaussian (FWHM of 4 pix and truncation width of 12 pixels) but keep the original array dimensions*/ |
| |
for (i = 0; i <= nx-1; i++) |
| |
{ |
| |
for (j = 0; j <= ny-1; j++) |
| |
{ |
| if ( mask[j * nx + i] < 70 || bitmask[j * nx + i] < 30 ) continue; | if ( mask[j * nx + i] < 70 || bitmask[j * nx + i] < 30 ) continue; |
| if isnan(derx[j * nx + i]) continue; | if isnan(derx[j * nx + i]) continue; |
| if isnan(dery[j * nx + i]) continue; | if isnan(dery[j * nx + i]) continue; |
| curl += (derx[j * nx + i]-dery[j * nx + i])*(1/cdelt1)*(rsun_obs/rsun_ref)*(0.00010)*(1/MUNAUGHT)*(1000.); /* curl is in units of mA / m^2 */ |
if isnan(jz[j * nx + i]) continue; |
| us_i += fabs(derx[j * nx + i]-dery[j * nx + i])*(1/cdelt1)*(rsun_ref/rsun_obs)*(0.00010)*(1/MUNAUGHT); /* us_i is in units of A / m^2 */ |
curl += (jz[j * nx + i])*(1/cdelt1)*(rsun_obs/rsun_ref)*(0.00010)*(1/MUNAUGHT)*(1000.); /* curl is in units of mA / m^2 */ |
| jz[j * nx + i] = (derx[j * nx + i]-dery[j * nx + i]); /* jz is in units of Gauss/pix */ |
us_i += fabs(jz[j * nx + i])*(cdelt1/1)*(rsun_ref/rsun_obs)*(0.00010)*(1/MUNAUGHT); /* us_i is in units of A */ |
| |
err += (jz_err[j * nx + i]*jz_err[j * nx + i]); |
| count_mask++; | count_mask++; |
| } | } |
| } | } |
| | |
| mean_curl = (curl/count_mask); |
/* Calculate mean vertical current density (mean_jz) and total unsigned vertical current (us_i) using smoothed Jz array and continue conditions above */ |
| printf("mean_curl=%f\n",mean_curl); |
|
| printf("cdelt1, what is it?=%f\n",cdelt1); |
|
| *mean_jz_ptr = curl/(count_mask); /* mean_jz gets populated as MEANJZD */ | *mean_jz_ptr = curl/(count_mask); /* mean_jz gets populated as MEANJZD */ |
| printf("count_mask=%d\n",count_mask); |
*mean_jz_err_ptr = (sqrt(err)/count_mask)*((1/cdelt1)*(rsun_obs/rsun_ref)*(0.00010)*(1/MUNAUGHT)*(1000.)); // error in the quantity MEANJZD |
| |
|
| *us_i_ptr = (us_i); /* us_i gets populated as TOTUSJZ */ | *us_i_ptr = (us_i); /* us_i gets populated as TOTUSJZ */ |
| |
*us_i_err_ptr = (sqrt(err))*((cdelt1/1)*(rsun_ref/rsun_obs)*(0.00010)*(1/MUNAUGHT)); // error in the quantity TOTUSJZ |
| |
|
| |
//printf("MEANJZD=%f\n",*mean_jz_ptr); |
| |
//printf("MEANJZD_err=%f\n",*mean_jz_err_ptr); |
| |
|
| |
//printf("TOTUSJZ=%g\n",*us_i_ptr); |
| |
//printf("TOTUSJZ_err=%g\n",*us_i_err_ptr); |
| |
|
| return 0; | return 0; |
| | |
| } | } |
| | |
| |
|
| /*===========================================*/ | /*===========================================*/ |
| /* Example function 9: Twist Parameter, alpha */ |
|
| | |
| // The twist parameter, alpha, is defined as alpha = Jz/Bz and the units are in 1/Mm |
/* Example function 10: Twist Parameter, alpha */ |
| |
|
| |
// The twist parameter, alpha, is defined as alpha = Jz/Bz. In this case, the calculation |
| |
// for alpha is weighted by Bz (following Hagino et al., http://adsabs.harvard.edu/abs/2004PASJ...56..831H): |
| |
|
| |
// numerator = sum of all Jz*Bz |
| |
// denominator = sum of Bz*Bz |
| |
// alpha = numerator/denominator |
| |
|
| |
// The units of alpha are in 1/Mm |
| // The units of Jz are in Gauss/pix; the units of Bz are in Gauss. | // The units of Jz are in Gauss/pix; the units of Bz are in Gauss. |
| // | // |
| // Therefore, the units of Jz/Bz = (Gauss/pix)(1/Gauss)(pix/arcsec)(arsec/meter)(meter/Mm), or | // Therefore, the units of Jz/Bz = (Gauss/pix)(1/Gauss)(pix/arcsec)(arsec/meter)(meter/Mm), or |
| // = (Gauss/pix)(1/Gauss)(1/CDELT1)(RSUN_OBS/RSUN_REF)(10^6) | // = (Gauss/pix)(1/Gauss)(1/CDELT1)(RSUN_OBS/RSUN_REF)(10^6) |
| // = 1/Mm | // = 1/Mm |
| | |
| int computeAlpha(float *bz, int *dims, float *jz, float *mean_alpha_ptr, int *mask, int *bitmask, |
int computeAlpha(float *jz_err, float *bz_err, float *bz, int *dims, float *jz, float *jz_smooth, float *mean_alpha_ptr, float *mean_alpha_err_ptr, int *mask, int *bitmask, float cdelt1, double rsun_ref, double rsun_obs) |
| float cdelt1, double rsun_ref, double rsun_obs) |
|
| { | { |
| int nx = dims[0], ny = dims[1]; |
int nx = dims[0]; |
| int i, j, count_mask=0; |
int ny = dims[1]; |
| |
int i = 0; |
| |
int j = 0; |
| |
double alpha_total = 0.0; |
| |
double C = ((1/cdelt1)*(rsun_obs/rsun_ref)*(1000000.)); |
| |
double total = 0.0; |
| |
double A = 0.0; |
| |
double B = 0.0; |
| | |
| if (nx <= 0 || ny <= 0) return 1; | if (nx <= 0 || ny <= 0) return 1; |
| |
for (i = 1; i < nx-1; i++) |
| *mean_alpha_ptr = 0.0; |
{ |
| float aa, bb, cc, bznew, alpha2, sum=0.0; |
for (j = 1; j < ny-1; j++) |
| |
{ |
| |
if ( mask[j * nx + i] < 70 || bitmask[j * nx + i] < 30 ) continue; |
| |
if isnan(jz[j * nx + i]) continue; |
| |
if isnan(bz[j * nx + i]) continue; |
| |
if (jz[j * nx + i] == 0.0) continue; |
| |
if (bz[j * nx + i] == 0.0) continue; |
| |
A += jz[j*nx+i]*bz[j*nx+i]; |
| |
B += bz[j*nx+i]*bz[j*nx+i]; |
| |
} |
| |
} |
| | |
| for (i = 1; i < nx-1; i++) | for (i = 1; i < nx-1; i++) |
| { | { |
| Line 623 int computeAlpha(float *bz, int *dims, f |
|
| Line 748 int computeAlpha(float *bz, int *dims, f |
|
| if ( mask[j * nx + i] < 70 || bitmask[j * nx + i] < 30 ) continue; | if ( mask[j * nx + i] < 70 || bitmask[j * nx + i] < 30 ) continue; |
| if isnan(jz[j * nx + i]) continue; | if isnan(jz[j * nx + i]) continue; |
| if isnan(bz[j * nx + i]) continue; | if isnan(bz[j * nx + i]) continue; |
| |
if (jz[j * nx + i] == 0.0) continue; |
| if (bz[j * nx + i] == 0.0) continue; | if (bz[j * nx + i] == 0.0) continue; |
| sum += (jz[j * nx + i] / bz[j * nx + i])*((1/cdelt1)*(rsun_obs/rsun_ref)*(1000000.)) ; /* the units for (jz/bz) are 1/Mm */ |
total += bz[j*nx+i]*bz[j*nx+i]*jz_err[j*nx+i]*jz_err[j*nx+i] + (jz[j*nx+i]-2*bz[j*nx+i]*A/B)*(jz[j*nx+i]-2*bz[j*nx+i]*A/B)*bz_err[j*nx+i]*bz_err[j*nx+i]; |
| count_mask++; |
|
| } | } |
| } | } |
| | |
| printf("cdelt1=%f,rsun_ref=%f,rsun_obs=%f\n",cdelt1,rsun_ref,rsun_obs); |
/* Determine the absolute value of alpha. The units for alpha are 1/Mm */ |
| printf("count_mask=%d\n",count_mask); |
alpha_total = ((A/B)*C); |
| printf("sum=%f\n",sum); |
*mean_alpha_ptr = alpha_total; |
| *mean_alpha_ptr = sum/count_mask; /* Units are 1/Mm */ |
*mean_alpha_err_ptr = (C/B)*(sqrt(total)); |
| |
|
| return 0; | return 0; |
| } | } |
| | |
| /*===========================================*/ | /*===========================================*/ |
| /* Example function 10: Helicity (mean current helicty, mean unsigned current helicity, and mean absolute current helicity) */ |
/* Example function 11: Helicity (mean current helicty, total unsigned current helicity, absolute value of net current helicity) */ |
| | |
| // The current helicity is defined as Bz*Jz and the units are G^2 / m | // The current helicity is defined as Bz*Jz and the units are G^2 / m |
| // The units of Jz are in G/pix; the units of Bz are in G. | // The units of Jz are in G/pix; the units of Bz are in G. |
| // Therefore, the units of Bz*Jz = (Gauss)*(Gauss/pix) = (Gauss^2/pix)(pix/arcsec)(arcsec/m) |
// Therefore, the units of Bz*Jz = (Gauss)*(Gauss/pix) = (Gauss^2/pix)(pix/arcsec)(arcsec/meter) |
| // = (Gauss^2/pix)(1/CDELT1)(RSUN_OBS/RSUN_REF) | // = (Gauss^2/pix)(1/CDELT1)(RSUN_OBS/RSUN_REF) |
| // = G^2 / m. | // = G^2 / m. |
| | |
| |
int computeHelicity(float *jz_err, float *jz_rms_err, float *bz_err, float *bz, int *dims, float *jz, float *mean_ih_ptr, |
| int computeHelicity(float *bz, int *dims, float *jz, float *mean_ih_ptr, float *total_us_ih_ptr, |
float *mean_ih_err_ptr, float *total_us_ih_ptr, float *total_abs_ih_ptr, |
| float *total_abs_ih_ptr, int *mask, int *bitmask, float cdelt1, double rsun_ref, double rsun_obs) |
float *total_us_ih_err_ptr, float *total_abs_ih_err_ptr, int *mask, int *bitmask, float cdelt1, double rsun_ref, double rsun_obs) |
| | |
| { | { |
| | |
| int nx = dims[0], ny = dims[1]; |
int nx = dims[0]; |
| int i, j, count_mask=0; |
int ny = dims[1]; |
| |
int i = 0; |
| |
int j = 0; |
| |
int count_mask = 0; |
| |
double sum = 0.0; |
| |
double sum2 = 0.0; |
| |
double err = 0.0; |
| | |
| if (nx <= 0 || ny <= 0) return 1; | if (nx <= 0 || ny <= 0) return 1; |
| | |
| *mean_ih_ptr = 0.0; |
|
| float sum=0.0, sum2=0.0; |
|
| |
|
| for (j = 0; j < ny; j++) |
|
| { |
|
| for (i = 0; i < nx; i++) | for (i = 0; i < nx; i++) |
| { | { |
| |
for (j = 0; j < ny; j++) |
| |
{ |
| if ( mask[j * nx + i] < 70 || bitmask[j * nx + i] < 30 ) continue; | if ( mask[j * nx + i] < 70 || bitmask[j * nx + i] < 30 ) continue; |
| if isnan(jz[j * nx + i]) continue; | if isnan(jz[j * nx + i]) continue; |
| if isnan(bz[j * nx + i]) continue; | if isnan(bz[j * nx + i]) continue; |
| |
if isnan(jz_err[j * nx + i]) continue; |
| |
if isnan(bz_err[j * nx + i]) continue; |
| if (bz[j * nx + i] == 0.0) continue; | if (bz[j * nx + i] == 0.0) continue; |
| if (jz[j * nx + i] == 0.0) continue; | if (jz[j * nx + i] == 0.0) continue; |
| sum += (jz[j * nx + i]*bz[j * nx + i])*(1/cdelt1)*(rsun_obs/rsun_ref); |
sum += (jz[j * nx + i]*bz[j * nx + i])*(1/cdelt1)*(rsun_obs/rsun_ref); // contributes to MEANJZH and ABSNJZH |
| sum2 += fabs(jz[j * nx + i]*bz[j * nx + i])*(1/cdelt1)*(rsun_obs/rsun_ref); |
sum2 += fabs(jz[j * nx + i]*bz[j * nx + i])*(1/cdelt1)*(rsun_obs/rsun_ref); // contributes to TOTUSJH |
| |
err += (jz_err[j * nx + i]*jz_err[j * nx + i]*bz[j * nx + i]*bz[j * nx + i]) + (bz_err[j * nx + i]*bz_err[j * nx + i]*jz[j * nx + i]*jz[j * nx + i]); |
| count_mask++; | count_mask++; |
| } | } |
| } | } |
| | |
| printf("sum/count_mask=%f\n",sum/count_mask); |
|
| printf("(1/cdelt1)*(rsun_obs/rsun_ref)=%f\n",(1/cdelt1)*(rsun_obs/rsun_ref)); |
|
| *mean_ih_ptr = sum/count_mask; /* Units are G^2 / m ; keyword is MEANJZH */ | *mean_ih_ptr = sum/count_mask; /* Units are G^2 / m ; keyword is MEANJZH */ |
| *total_us_ih_ptr = sum2; /* Units are G^2 / m */ |
*total_us_ih_ptr = sum2 ; /* Units are G^2 / m ; keyword is TOTUSJH */ |
| *total_abs_ih_ptr= fabs(sum); /* Units are G^2 / m */ |
*total_abs_ih_ptr = fabs(sum) ; /* Units are G^2 / m ; keyword is ABSNJZH */ |
| |
|
| |
*mean_ih_err_ptr = (sqrt(err)/count_mask)*(1/cdelt1)*(rsun_obs/rsun_ref) ; // error in the quantity MEANJZH |
| |
*total_us_ih_err_ptr = (sqrt(err))*(1/cdelt1)*(rsun_obs/rsun_ref) ; // error in the quantity TOTUSJH |
| |
*total_abs_ih_err_ptr = (sqrt(err))*(1/cdelt1)*(rsun_obs/rsun_ref) ; // error in the quantity ABSNJZH |
| |
|
| |
//printf("MEANJZH=%f\n",*mean_ih_ptr); |
| |
//printf("MEANJZH_err=%f\n",*mean_ih_err_ptr); |
| |
|
| |
//printf("TOTUSJH=%f\n",*total_us_ih_ptr); |
| |
//printf("TOTUSJH_err=%f\n",*total_us_ih_err_ptr); |
| |
|
| |
//printf("ABSNJZH=%f\n",*total_abs_ih_ptr); |
| |
//printf("ABSNJZH_err=%f\n",*total_abs_ih_err_ptr); |
| | |
| return 0; | return 0; |
| } | } |
| | |
| /*===========================================*/ | /*===========================================*/ |
| /* Example function 11: 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. |
// fabs(sum(jz gt 0)) + fabs(sum(jz lt 0)) and the units are in Amperes per 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) |
| |
// |
| |
// The error in this quantity is the same as the error in the mean vertical current (mean_jz_err). |
| | |
| int computeSumAbsPerPolarity(float *bz, float *jz, int *dims, float *totaljzptr, |
int computeSumAbsPerPolarity(float *jz_err, float *bz_err, float *bz, float *jz, int *dims, float *totaljzptr, float *totaljz_err_ptr, |
| int *mask, int *bitmask, float cdelt1, double rsun_ref, double rsun_obs) | int *mask, int *bitmask, float cdelt1, double rsun_ref, double rsun_obs) |
| | |
| { | { |
| int nx = dims[0], ny = dims[1]; |
int nx = dims[0]; |
| int i, j, count_mask=0; |
int ny = dims[1]; |
| |
int i=0; |
| |
int j=0; |
| |
int count_mask=0; |
| |
double sum1=0.0; |
| |
double sum2=0.0; |
| |
double err=0.0; |
| |
*totaljzptr=0.0; |
| | |
| if (nx <= 0 || ny <= 0) return 1; | if (nx <= 0 || ny <= 0) return 1; |
| | |
| *totaljzptr=0.0; |
|
| float sum1=0.0, sum2=0.0; |
|
| |
|
| for (i = 0; i < nx; i++) | for (i = 0; i < nx; i++) |
| { | { |
| for (j = 0; j < ny; j++) | for (j = 0; j < ny; j++) |
| { | { |
| if ( mask[j * nx + i] < 70 || bitmask[j * nx + i] < 30 ) continue; | if ( mask[j * nx + i] < 70 || bitmask[j * nx + i] < 30 ) continue; |
| if isnan(bz[j * nx + i]) continue; | if isnan(bz[j * nx + i]) continue; |
| |
if isnan(jz[j * nx + i]) continue; |
| if (bz[j * nx + i] > 0) sum1 += ( jz[j * nx + i])*(1/cdelt1)*(0.00010)*(1/MUNAUGHT)*(rsun_ref/rsun_obs); | if (bz[j * nx + i] > 0) sum1 += ( jz[j * nx + i])*(1/cdelt1)*(0.00010)*(1/MUNAUGHT)*(rsun_ref/rsun_obs); |
| if (bz[j * nx + i] <= 0) sum2 += ( jz[j * nx + i])*(1/cdelt1)*(0.00010)*(1/MUNAUGHT)*(rsun_ref/rsun_obs); | if (bz[j * nx + i] <= 0) sum2 += ( jz[j * nx + i])*(1/cdelt1)*(0.00010)*(1/MUNAUGHT)*(rsun_ref/rsun_obs); |
| |
err += (jz_err[j * nx + i]*jz_err[j * nx + i]); |
| |
count_mask++; |
| } | } |
| } | } |
| | |
| *totaljzptr = fabs(sum1) + fabs(sum2); /* Units are A */ |
*totaljzptr = fabs(sum1) + fabs(sum2); /* Units are Amperes per arcsecond */ |
| |
*totaljz_err_ptr = sqrt(err)*(1/cdelt1)*fabs((0.00010)*(1/MUNAUGHT)*(rsun_ref/rsun_obs)); |
| |
//printf("SAVNCPP=%g\n",*totaljzptr); |
| |
//printf("SAVNCPP_err=%g\n",*totaljz_err_ptr); |
| |
|
| return 0; | return 0; |
| } | } |
| | |
| /*===========================================*/ | /*===========================================*/ |
| /* Example function 12: Mean photospheric excess magnetic energy and total photospheric excess magnetic energy density */ |
/* Example function 13: Mean photospheric excess magnetic energy and total photospheric excess magnetic energy density */ |
| // The units for magnetic energy density in cgs are ergs per cubic centimeter. The formula B^2/8*PI integrated over all space, dV | // The units for magnetic energy density in cgs are ergs per cubic centimeter. The formula B^2/8*PI integrated over all space, dV |
| // automatically yields erg per cubic centimeter for an input B in Gauss. |
// automatically yields erg per cubic centimeter for an input B in Gauss. Note that the 8*PI can come out of the integral; thus, |
| |
// the integral is over B^2 dV and the 8*PI is divided at the end. |
| // | // |
| // Total magnetic energy is the magnetic energy density times dA, or the area, and the units are thus ergs/cm. To convert | // Total magnetic energy is the magnetic energy density times dA, or the area, and the units are thus ergs/cm. To convert |
| // ergs per centimeter cubed to ergs per centimeter, simply multiply by the area per pixel in cm: | // ergs per centimeter cubed to ergs per centimeter, simply multiply by the area per pixel in cm: |
| // erg/cm^3(CDELT1)^2(RSUN_REF/RSUN_OBS)^2(100.)^2 |
// erg/cm^3*(CDELT1^2)*(RSUN_REF/RSUN_OBS ^2)*(100.^2) |
| // = erg/cm^3(0.5 arcsec/pix)^2(722500m/arcsec)^2(100cm/m)^2 |
// = erg/cm^3*(0.5 arcsec/pix)^2(722500m/arcsec)^2(100cm/m)^2 |
| // = erg/cm^3(1.30501e15) |
// = erg/cm^3*(1.30501e15) |
| // = erg/cm(1/pix^2) | // = erg/cm(1/pix^2) |
| | |
| int computeFreeEnergy(float *bx, float *by, float *bpx, float *bpy, int *dims, |
int computeFreeEnergy(float *bx_err, float *by_err, float *bx, float *by, float *bpx, float *bpy, int *dims, |
| float *meanpotptr, float *totpotptr, int *mask, int *bitmask, |
float *meanpotptr, float *meanpot_err_ptr, float *totpotptr, float *totpot_err_ptr, int *mask, int *bitmask, |
| float cdelt1, double rsun_ref, double rsun_obs) | float cdelt1, double rsun_ref, double rsun_obs) |
| | |
| { | { |
| int nx = dims[0], ny = dims[1]; |
int nx = dims[0]; |
| int i, j, count_mask=0; |
int ny = dims[1]; |
| |
int i = 0; |
| if (nx <= 0 || ny <= 0) return 1; |
int j = 0; |
| |
int count_mask = 0; |
| |
double sum = 0.0; |
| |
double sum1 = 0.0; |
| |
double err = 0.0; |
| *totpotptr=0.0; | *totpotptr=0.0; |
| *meanpotptr=0.0; | *meanpotptr=0.0; |
| float sum=0.0; |
|
| |
if (nx <= 0 || ny <= 0) return 1; |
| | |
| for (i = 0; i < nx; i++) | for (i = 0; i < nx; i++) |
| { | { |
| Line 752 int computeFreeEnergy(float *bx, float * |
|
| Line 913 int computeFreeEnergy(float *bx, float * |
|
| if ( mask[j * nx + i] < 70 || bitmask[j * nx + i] < 30 ) continue; | if ( mask[j * nx + i] < 70 || bitmask[j * nx + i] < 30 ) continue; |
| if isnan(bx[j * nx + i]) continue; | if isnan(bx[j * nx + i]) continue; |
| if isnan(by[j * nx + i]) continue; | if isnan(by[j * nx + i]) continue; |
| sum += (( ((bx[j * nx + i])*(bx[j * nx + i]) + (by[j * nx + i])*(by[j * nx + i]) ) - ((bpx[j * nx + i])*(bpx[j * nx + i]) + (bpy[j * nx + i])*(bpy[j * nx + i])) )/8.*PI); |
sum += ( ((bx[j * nx + i] - bpx[j * nx + i])*(bx[j * nx + i] - bpx[j * nx + i])) + ((by[j * nx + i] - bpy[j * nx + i])*(by[j * nx + i] - bpy[j * nx + i])) )*(cdelt1*cdelt1*(rsun_ref/rsun_obs)*(rsun_ref/rsun_obs)*100.0*100.0); |
| |
sum1 += ( ((bx[j * nx + i] - bpx[j * nx + i])*(bx[j * nx + i] - bpx[j * nx + i])) + ((by[j * nx + i] - bpy[j * nx + i])*(by[j * nx + i] - bpy[j * nx + i])) ); |
| |
err += 4.0*(bx[j * nx + i] - bpx[j * nx + i])*(bx[j * nx + i] - bpx[j * nx + i])*(bx_err[j * nx + i]*bx_err[j * nx + i]) + |
| |
4.0*(by[j * nx + i] - bpy[j * nx + i])*(by[j * nx + i] - bpy[j * nx + i])*(by_err[j * nx + i]*by_err[j * nx + i]); |
| count_mask++; | count_mask++; |
| } | } |
| } | } |
| | |
| *meanpotptr = (sum)/(count_mask); /* Units are ergs per cubic centimeter */ |
/* Units of meanpotptr are ergs per centimeter */ |
| *totpotptr = sum*(cdelt1*cdelt1*(rsun_ref/rsun_obs)*(rsun_ref/rsun_obs)*100.0*100.0)*(count_mask); /* Units of sum are ergs/cm^3, units of factor are cm^2/pix^2, units of count_mask are pix^2; therefore, units of totpotptr are ergs per centimeter */ |
*meanpotptr = (sum1) / (count_mask*8.*PI) ; /* Units are ergs per cubic centimeter */ |
| |
*meanpot_err_ptr = (sqrt(err)) / (count_mask*8.*PI); // error in the quantity (sum)/(count_mask) |
| |
|
| |
/* Units of sum are ergs/cm^3, units of factor are cm^2/pix^2; therefore, units of totpotptr are ergs per centimeter */ |
| |
*totpotptr = (sum)/(8.*PI); |
| |
*totpot_err_ptr = (sqrt(err))*fabs(cdelt1*cdelt1*(rsun_ref/rsun_obs)*(rsun_ref/rsun_obs)*100.0*100.0*(1/(8.*PI))); |
| |
|
| |
//printf("MEANPOT=%g\n",*meanpotptr); |
| |
//printf("MEANPOT_err=%g\n",*meanpot_err_ptr); |
| |
|
| |
//printf("TOTPOT=%g\n",*totpotptr); |
| |
//printf("TOTPOT_err=%g\n",*totpot_err_ptr); |
| |
|
| return 0; | return 0; |
| } | } |
| | |
| /*===========================================*/ | /*===========================================*/ |
| /* Example function 13: Mean 3D shear angle, area with shear greater than 45, mean horizontal shear angle, area with horizontal shear angle greater than 45 */ |
/* Example function 14: Mean 3D shear angle, area with shear greater than 45, mean horizontal shear angle, area with horizontal shear angle greater than 45 */ |
| | |
| int computeShearAngle(float *bx, float *by, float *bz, float *bpx, float *bpy, float *bpz, int *dims, |
int computeShearAngle(float *bx_err, float *by_err, float *bz_err, float *bx, float *by, float *bz, float *bpx, float *bpy, float *bpz, int *dims, |
| float *meanshear_angleptr, float *area_w_shear_gt_45ptr, |
float *meanshear_angleptr, float *meanshear_angle_err_ptr, float *area_w_shear_gt_45ptr, int *mask, int *bitmask) |
| float *meanshear_anglehptr, float *area_w_shear_gt_45hptr, |
|
| int *mask, int *bitmask) |
|
| { |
|
| int nx = dims[0], ny = dims[1]; |
|
| int i, j; |
|
| | |
| if (nx <= 0 || ny <= 0) return 1; |
|
| | |
| |
{ |
| |
int nx = dims[0]; |
| |
int ny = dims[1]; |
| |
int i = 0; |
| |
int j = 0; |
| |
float count_mask = 0; |
| |
float count = 0; |
| |
double dotproduct = 0.0; |
| |
double magnitude_potential = 0.0; |
| |
double magnitude_vector = 0.0; |
| |
double shear_angle = 0.0; |
| |
double denominator = 0.0; |
| |
double term1 = 0.0; |
| |
double term2 = 0.0; |
| |
double term3 = 0.0; |
| |
double sumsum = 0.0; |
| |
double err = 0.0; |
| |
double part1 = 0.0; |
| |
double part2 = 0.0; |
| |
double part3 = 0.0; |
| *area_w_shear_gt_45ptr=0.0; | *area_w_shear_gt_45ptr=0.0; |
| *meanshear_angleptr=0.0; | *meanshear_angleptr=0.0; |
| float dotproduct, magnitude_potential, magnitude_vector, shear_angle=0.0, sum = 0.0, count=0.0, count_mask=0.0; |
|
| float dotproducth, magnitude_potentialh, magnitude_vectorh, shear_angleh=0.0, sum1 = 0.0, counth = 0.0; |
if (nx <= 0 || ny <= 0) return 1; |
| | |
| for (i = 0; i < nx; i++) | for (i = 0; i < nx; i++) |
| { | { |
| Line 791 int computeShearAngle(float *bx, float * |
|
| Line 981 int computeShearAngle(float *bx, float * |
|
| if isnan(bz[j * nx + i]) continue; | if isnan(bz[j * nx + i]) continue; |
| if isnan(bx[j * nx + i]) continue; | if isnan(bx[j * nx + i]) continue; |
| if isnan(by[j * nx + i]) continue; | if isnan(by[j * nx + i]) continue; |
| /* For mean 3D shear angle, area with shear greater than 45*/ |
if isnan(bx_err[j * nx + i]) continue; |
| |
if isnan(by_err[j * nx + i]) continue; |
| |
if isnan(bz_err[j * nx + i]) continue; |
| |
|
| |
/* For mean 3D shear angle, percentage with shear greater than 45*/ |
| dotproduct = (bpx[j * nx + i])*(bx[j * nx + i]) + (bpy[j * nx + i])*(by[j * nx + i]) + (bpz[j * nx + i])*(bz[j * nx + i]); | dotproduct = (bpx[j * nx + i])*(bx[j * nx + i]) + (bpy[j * nx + i])*(by[j * nx + i]) + (bpz[j * nx + i])*(bz[j * nx + i]); |
| magnitude_potential = sqrt((bpx[j * nx + i]*bpx[j * nx + i]) + (bpy[j * nx + i]*bpy[j * nx + i]) + (bpz[j * nx + i]*bpz[j * nx + i])); | magnitude_potential = sqrt((bpx[j * nx + i]*bpx[j * nx + i]) + (bpy[j * nx + i]*bpy[j * nx + i]) + (bpz[j * nx + i]*bpz[j * nx + i])); |
| magnitude_vector = sqrt( (bx[j * nx + i]*bx[j * nx + i]) + (by[j * nx + i]*by[j * nx + i]) + (bz[j * nx + i]*bz[j * nx + i]) ); | magnitude_vector = sqrt( (bx[j * nx + i]*bx[j * nx + i]) + (by[j * nx + i]*by[j * nx + i]) + (bz[j * nx + i]*bz[j * nx + i]) ); |
| |
//printf("dotproduct=%f\n",dotproduct); |
| |
//printf("magnitude_potential=%f\n",magnitude_potential); |
| |
//printf("magnitude_vector=%f\n",magnitude_vector); |
| |
|
| shear_angle = acos(dotproduct/(magnitude_potential*magnitude_vector))*(180./PI); | shear_angle = acos(dotproduct/(magnitude_potential*magnitude_vector))*(180./PI); |
| |
sumsum += shear_angle; |
| |
//printf("shear_angle=%f\n",shear_angle); |
| count ++; | count ++; |
| sum += shear_angle ; |
|
| if (shear_angle > 45) count_mask ++; | if (shear_angle > 45) count_mask ++; |
| |
|
| |
// For the error analysis |
| |
|
| |
term1 = bx[j * nx + i]*by[j * nx + i]*bpy[j * nx + i] - by[j * nx + i]*by[j * nx + i]*bpx[j * nx + i] + bz[j * nx + i]*bx[j * nx + i]*bpz[j * nx + i] - bz[j * nx + i]*bz[j * nx + i]*bpx[j * nx + i]; |
| |
term2 = bx[j * nx + i]*bx[j * nx + i]*bpy[j * nx + i] - bx[j * nx + i]*by[j * nx + i]*bpx[j * nx + i] + bx[j * nx + i]*bz[j * nx + i]*bpy[j * nx + i] - bz[j * nx + i]*by[j * nx + i]*bpz[j * nx + i]; |
| |
term3 = bx[j * nx + i]*bx[j * nx + i]*bpz[j * nx + i] - bx[j * nx + i]*bz[j * nx + i]*bpx[j * nx + i] + by[j * nx + i]*by[j * nx + i]*bpz[j * nx + i] - by[j * nx + i]*bz[j * nx + i]*bpy[j * nx + i]; |
| |
|
| |
part1 = bx[j * nx + i]*bx[j * nx + i] + by[j * nx + i]*by[j * nx + i] + bz[j * nx + i]*bz[j * nx + i]; |
| |
part2 = bpx[j * nx + i]*bpx[j * nx + i] + bpy[j * nx + i]*bpy[j * nx + i] + bpz[j * nx + i]*bpz[j * nx + i]; |
| |
part3 = bx[j * nx + i]*bpx[j * nx + i] + by[j * nx + i]*bpy[j * nx + i] + bz[j * nx + i]*bpz[j * nx + i]; |
| |
|
| |
// denominator is squared |
| |
denominator = part1*part1*part1*part2*(1.0-((part3*part3)/(part1*part2))); |
| |
|
| |
err = (term1*term1*bx_err[j * nx + i]*bx_err[j * nx + i])/(denominator) + |
| |
(term1*term1*bx_err[j * nx + i]*bx_err[j * nx + i])/(denominator) + |
| |
(term1*term1*bx_err[j * nx + i]*bx_err[j * nx + i])/(denominator) ; |
| |
|
| } | } |
| } | } |
| |
|
| /* For mean 3D shear angle, area with shear greater than 45*/ | /* For mean 3D shear angle, area with shear greater than 45*/ |
| *meanshear_angleptr = (sum)/(count); /* Units are degrees */ |
*meanshear_angleptr = (sumsum)/(count); /* Units are degrees */ |
| printf("count_mask=%f\n",count_mask); |
*meanshear_angle_err_ptr = (sqrt(err)/count_mask)*(180./PI); |
| printf("count=%f\n",count); |
|
| *area_w_shear_gt_45ptr = (count_mask/(count))*(100.); /* The area here is a fractional area -- the % of the total area */ |
/* The area here is a fractional area -- the % of the total area. This has no error associated with it. */ |
| |
*area_w_shear_gt_45ptr = (count_mask/(count))*(100.0); |
| |
|
| |
//printf("MEANSHR=%f\n",*meanshear_angleptr); |
| |
//printf("MEANSHR_err=%f\n",*meanshear_angle_err_ptr); |
| |
//printf("SHRGT45=%f\n",*area_w_shear_gt_45ptr); |
| |
|
| |
return 0; |
| |
} |
| |
|
| |
/*===========================================*/ |
| |
/* Example function 15: R parameter as defined in Schrijver, 2007 */ |
| |
// |
| |
// Note that there is a restriction on the function fsample() |
| |
// If the following occurs: |
| |
// nx_out > floor((ny_in-1)/scale + 1) |
| |
// ny_out > floor((ny_in-1)/scale + 1), |
| |
// where n*_out are the dimensions of the output array and n*_in |
| |
// are the dimensions of the input array, fsample() will usually result |
| |
// in a segfault (though not always, depending on how the segfault was accessed.) |
| |
|
| |
int computeR(float *bz_err, float *los, int *dims, float *Rparam, float cdelt1, |
| |
float *rim, float *p1p0, float *p1n0, float *p1p, float *p1n, float *p1, |
| |
float *pmap, int nx1, int ny1, |
| |
int scale, float *p1pad, int nxp, int nyp, float *pmapn) |
| |
|
| |
{ |
| |
int nx = dims[0]; |
| |
int ny = dims[1]; |
| |
int i = 0; |
| |
int j = 0; |
| |
int index, index1; |
| |
double sum = 0.0; |
| |
double err = 0.0; |
| |
*Rparam = 0.0; |
| |
struct fresize_struct fresboxcar, fresgauss; |
| |
struct fint_struct fints; |
| |
float sigma = 10.0/2.3548; |
| |
|
| |
// set up convolution kernels |
| |
init_fresize_boxcar(&fresboxcar,1,1); |
| |
init_fresize_gaussian(&fresgauss,sigma,20,1); |
| |
|
| |
// =============== [STEP 1] =============== |
| |
// bin the line-of-sight magnetogram down by a factor of scale |
| |
fsample(los, rim, nx, ny, nx, nx1, ny1, nx1, scale, 0, 0, 0.0); |
| |
|
| |
// =============== [STEP 2] =============== |
| |
// identify positive and negative pixels greater than +/- 150 gauss |
| |
// and label those pixels with a 1.0 in arrays p1p0 and p1n0 |
| |
for (i = 0; i < nx1; i++) |
| |
{ |
| |
for (j = 0; j < ny1; j++) |
| |
{ |
| |
index = j * nx1 + i; |
| |
if (rim[index] > 150) |
| |
p1p0[index]=1.0; |
| |
else |
| |
p1p0[index]=0.0; |
| |
if (rim[index] < -150) |
| |
p1n0[index]=1.0; |
| |
else |
| |
p1n0[index]=0.0; |
| |
} |
| |
} |
| |
|
| |
// =============== [STEP 3] =============== |
| |
// smooth each of the negative and positive pixel bitmaps |
| |
fresize(&fresboxcar, p1p0, p1p, nx1, ny1, nx1, nx1, ny1, nx1, 0, 0, 0.0); |
| |
fresize(&fresboxcar, p1n0, p1n, nx1, ny1, nx1, nx1, ny1, nx1, 0, 0, 0.0); |
| |
|
| |
// =============== [STEP 4] =============== |
| |
// find the pixels for which p1p and p1n are both equal to 1. |
| |
// this defines the polarity inversion line |
| |
for (i = 0; i < nx1; i++) |
| |
{ |
| |
for (j = 0; j < ny1; j++) |
| |
{ |
| |
index = j * nx1 + i; |
| |
if ((p1p[index] > 0.0) && (p1n[index] > 0.0)) |
| |
p1[index]=1.0; |
| |
else |
| |
p1[index]=0.0; |
| |
} |
| |
} |
| |
|
| |
// pad p1 with zeroes so that the gaussian colvolution in step 5 |
| |
// does not cut off data within hwidth of the edge |
| |
|
| |
// step i: zero p1pad |
| |
for (i = 0; i < nxp; i++) |
| |
{ |
| |
for (j = 0; j < nyp; j++) |
| |
{ |
| |
index = j * nxp + i; |
| |
p1pad[index]=0.0; |
| |
} |
| |
} |
| |
|
| |
// step ii: place p1 at the center of p1pad |
| |
for (i = 0; i < nx1; i++) |
| |
{ |
| |
for (j = 0; j < ny1; j++) |
| |
{ |
| |
index = j * nx1 + i; |
| |
index1 = (j+20) * nxp + (i+20); |
| |
p1pad[index1]=p1[index]; |
| |
} |
| |
} |
| |
|
| |
// =============== [STEP 5] =============== |
| |
// convolve the polarity inversion line map with a gaussian |
| |
// to identify the region near the plarity inversion line |
| |
// the resultant array is called pmap |
| |
fresize(&fresgauss, p1pad, pmap, nxp, nyp, nxp, nxp, nyp, nxp, 0, 0, 0.0); |
| |
|
| |
|
| |
// select out the nx1 x ny1 non-padded array within pmap |
| |
for (i = 0; i < nx1; i++) |
| |
{ |
| |
for (j = 0; j < ny1; j++) |
| |
{ |
| |
index = j * nx1 + i; |
| |
index1 = (j+20) * nxp + (i+20); |
| |
pmapn[index]=pmap[index1]; |
| |
} |
| |
} |
| |
|
| |
// =============== [STEP 6] =============== |
| |
// the R parameter is calculated |
| |
for (i = 0; i < nx1; i++) |
| |
{ |
| |
for (j = 0; j < ny1; j++) |
| |
{ |
| |
index = j * nx1 + i; |
| |
if isnan(pmapn[index]) continue; |
| |
if isnan(rim[index]) continue; |
| |
sum += pmapn[index]*abs(rim[index]); |
| |
} |
| |
} |
| |
|
| |
if (sum < 1.0) |
| |
*Rparam = 0.0; |
| |
else |
| |
*Rparam = log10(sum); |
| |
|
| |
//printf("R_VALUE=%f\n",*Rparam); |
| |
|
| |
free_fresize(&fresboxcar); |
| |
free_fresize(&fresgauss); |
| | |
| return 0; | return 0; |
| |
|
| } | } |
| | |
| |
/*===========================================*/ |
| |
/* Example function 16: Lorentz force as defined in Fisher, 2012 */ |
| |
// |
| |
// This calculation is adapted from Xudong's code |
| |
// at /proj/cgem/lorentz/apps/lorentz.c |
| |
|
| |
int computeLorentz(float *bx, float *by, float *bz, float *fx, float *fy, float *fz, int *dims, |
| |
float *totfx_ptr, float *totfy_ptr, float *totfz_ptr, float *totbsq_ptr, |
| |
float *epsx_ptr, float *epsy_ptr, float *epsz_ptr, int *mask, int *bitmask, |
| |
float cdelt1, double rsun_ref, double rsun_obs) |
| |
|
| |
{ |
| |
|
| |
int nx = dims[0]; |
| |
int ny = dims[1]; |
| |
int nxny = nx*ny; |
| |
int j = 0; |
| |
int index; |
| |
double totfx = 0, totfy = 0, totfz = 0; |
| |
double bsq = 0, totbsq = 0; |
| |
double epsx = 0, epsy = 0, epsz = 0; |
| |
double area = cdelt1*cdelt1*(rsun_ref/rsun_obs)*(rsun_ref/rsun_obs)*100.0*100.0; |
| |
double k_h = -1.0 * area / (4. * PI) / 1.0e20; |
| |
double k_z = area / (8. * PI) / 1.0e20; |
| |
|
| |
if (nx <= 0 || ny <= 0) return 1; |
| |
|
| |
for (int i = 0; i < nxny; i++) |
| |
{ |
| |
if ( mask[i] < 70 || bitmask[i] < 30 ) continue; |
| |
if isnan(bx[i]) continue; |
| |
if isnan(by[i]) continue; |
| |
if isnan(bz[i]) continue; |
| |
fx[i] = bx[i] * bz[i] * k_h; |
| |
fy[i] = by[i] * bz[i] * k_h; |
| |
fz[i] = (bx[i] * bx[i] + by[i] * by[i] - bz[i] * bz[i]) * k_z; |
| |
bsq = bx[i] * bx[i] + by[i] * by[i] + bz[i] * bz[i]; |
| |
totfx += fx[i]; totfy += fy[i]; totfz += fz[i]; |
| |
totbsq += bsq; |
| |
} |
| |
|
| |
*totfx_ptr = totfx; |
| |
*totfy_ptr = totfy; |
| |
*totfz_ptr = totfz; |
| |
*totbsq_ptr = totbsq; |
| |
*epsx_ptr = (totfx / k_h) / totbsq; |
| |
*epsy_ptr = (totfy / k_h) / totbsq; |
| |
*epsz_ptr = (totfz / k_z) / totbsq; |
| |
|
| |
//printf("TOTBSQ=%f\n",*totbsq_ptr); |
| |
|
| |
return 0; |
| |
|
| |
} |
| | |
| /*==================KEIJI'S CODE =========================*/ | /*==================KEIJI'S CODE =========================*/ |
| | |
| Line 927 void greenpot(float *bx, float *by, floa |
|
| Line 1348 void greenpot(float *bx, float *by, floa |
|
| | |
| | |
| /*===========END OF KEIJI'S CODE =========================*/ | /*===========END OF KEIJI'S CODE =========================*/ |
| |
|
| |
char *sw_functions_version() // Returns CVS version of sw_functions.c |
| |
{ |
| |
return strdup("$Id"); |
| |
} |
| |
|
| /* ---------------- end of this file ----------------*/ | /* ---------------- end of this file ----------------*/ |
Return to
sw_functions.c
CVS log
Up to [Development] / JSOC / proj / sharp / apps