version 1.18, 2013/10/01 01:57:44
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version 1.31, 2014/06/05 21:27:04
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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 |
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R_VALUE Karel Schrijver's R parameter |
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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 |
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prior to 2013.08.21_17:24:00_TAI contain interpolated bitmaps; data post-2013.08.21_17:24:00_TAI |
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contain nearest-neighbor bitmaps). |
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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: |
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For conf_disambig: | For conf_disambig: |
50 : not all solutions agree (weak field method applied) | 50 : not all solutions agree (weak field method applied) |
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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 |
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Error analysis modification 21 October 2013 |
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===========================================*/ | ===========================================*/ |
#include <math.h> | #include <math.h> |
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// 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 |
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// The disambig mask value selects only the pixels with values of 5 or 7 -- that is, |
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// 5: pixels for which the radial acute disambiguation solution was chosen |
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// 7: pixels for which the radial acute and NRWA disambiguation agree |
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int computeAbsFlux(float *bz_err, float *bz, int *dims, float *absFlux, | int computeAbsFlux(float *bz_err, float *bz, int *dims, float *absFlux, |
float *mean_vf_ptr, float *mean_vf_err_ptr, float *count_mask_ptr, int *mask, | float *mean_vf_ptr, float *mean_vf_err_ptr, float *count_mask_ptr, int *mask, |
Line 93 int computeAbsFlux(float *bz_err, float |
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Line 92 int computeAbsFlux(float *bz_err, float |
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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 += (fabs(bz[j * nx + i])); | sum += (fabs(bz[j * nx + i])); |
//printf("i,j,bz[j * nx + i]=%d,%d,%f\n",i,j,bz[j * nx + i]); |
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err += bz_err[j * nx + i]*bz_err[j * nx + i]; | err += bz_err[j * nx + i]*bz_err[j * nx + i]; |
count_mask++; | count_mask++; |
} | } |
Line 102 int computeAbsFlux(float *bz_err, float |
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Line 100 int computeAbsFlux(float *bz_err, float |
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*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 | *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; | *count_mask_ptr = count_mask; |
//printf("cdelt1=%f\n",cdelt1); |
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//printf("rsun_obs=%f\n",rsun_obs); |
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//printf("rsun_ref=%f\n",rsun_ref); |
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//printf("CMASK=%g\n",*count_mask_ptr); |
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//printf("USFLUX=%g\n",*mean_vf_ptr); |
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//printf("sum=%f\n",sum); |
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//printf("USFLUX_err=%g\n",*mean_vf_err_ptr); |
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return 0; | return 0; |
} | } |
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Line 135 int computeBh(float *bx_err, float *by_e |
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Line 126 int computeBh(float *bx_err, float *by_e |
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{ | { |
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; |
{ |
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bh[j * nx + i] = NAN; |
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bh_err[j * nx + i] = NAN; |
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continue; |
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} |
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if isnan(by[j * nx + i]) |
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{ |
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bh[j * nx + i] = NAN; |
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bh_err[j * nx + i] = NAN; |
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continue; |
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} |
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]; | 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]; |
Line 152 int computeBh(float *bx_err, float *by_e |
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Line 153 int computeBh(float *bx_err, float *by_e |
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/*===========================================*/ | /*===========================================*/ |
/* 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) |
// Redo calculation in radians for error analysis (since derivatives are only true in units of radians). |
// |
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// Error analysis calculations are done in radians (since derivatives are only true in units of radians), |
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// and multiplied by (180./PI) at the end for consistency in units. |
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int computeGamma(float *bz_err, float *bh_err, float *bx, float *by, float *bz, float *bh, int *dims, | int computeGamma(float *bz_err, float *bh_err, 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, float *mean_gamma_err_ptr, int *mask, int *bitmask) |
Line 178 int computeGamma(float *bz_err, float *b |
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Line 181 int computeGamma(float *bz_err, float *b |
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if isnan(bz[j * nx + i]) continue; | if isnan(bz[j * nx + i]) continue; |
if isnan(bz_err[j * nx + i]) continue; | if isnan(bz_err[j * nx + i]) continue; |
if isnan(bh_err[j * nx + i]) continue; | if isnan(bh_err[j * nx + i]) continue; |
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if isnan(bh[j * nx + i]) continue; |
if (bz[j * nx + i] == 0) continue; | if (bz[j * nx + i] == 0) continue; |
sum += (atan(fabs(bz[j * nx + i]/bh[j * nx + i] )))*(180./PI); |
sum += fabs(atan(bh[j * nx + i]/fabs(bz[j * nx + i])))*(180./PI); |
err += (( sqrt ( ((bz_err[j * nx + i]*bz_err[j * nx + i])/(bz[j * nx + i]*bz[j * nx + i])) + ((bh_err[j * nx + i]*bh_err[j * nx + i])/(bh[j * nx + i]*bh[j * nx + i]))) * fabs(bz[j * nx + i]/bh[j * nx + i]) ) / (1 + (bz[j * nx + i]/bh[j * nx + i])*(bz[j * nx + i]/bh[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])))) * |
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( ((bh_err[j * nx + i]*bh_err[j * nx + i])/(bz[j * nx + i]*bz[j * nx + i])) + |
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((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++; |
} | } |
} | } |
} | } |
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*mean_gamma_ptr = sum/count_mask; | *mean_gamma_ptr = sum/count_mask; |
*mean_gamma_err_ptr = (sqrt(err*err))/(count_mask*100.0); // error in the quantity (sum)/(count_mask) |
*mean_gamma_err_ptr = (sqrt(err)/(count_mask))*(180./PI); |
//printf("MEANGAM=%f\n",*mean_gamma_ptr); | //printf("MEANGAM=%f\n",*mean_gamma_ptr); |
//printf("MEANGAM_err=%f\n",*mean_gamma_err_ptr); | //printf("MEANGAM_err=%f\n",*mean_gamma_err_ptr); |
return 0; | return 0; |
Line 212 int computeB_total(float *bx_err, float |
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Line 218 int computeB_total(float *bx_err, float |
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{ | { |
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; |
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bt_err[j * nx + i] = NAN; |
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continue; |
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} |
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if isnan(by[j * nx + i]) |
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{ |
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bt[j * nx + i] = NAN; |
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bt_err[j * nx + i] = NAN; |
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continue; |
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} |
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if isnan(bz[j * nx + i]) |
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{ |
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bt[j * nx + i] = NAN; |
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bt_err[j * nx + i] = NAN; |
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continue; |
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} |
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]; | 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]; |
} | } |
Line 284 int computeBtotalderivative(float *bt, i |
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Line 305 int computeBtotalderivative(float *bt, i |
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} | } |
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for (i = 0; i <= nx-1; i++) |
for (i = 1; i <= nx-2; i++) |
{ | { |
for (j = 0; j <= ny-1; j++) |
for (j = 1; j <= ny-2; 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; |
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if ( (derx_bt[j * nx + i] + dery_bt[j * nx + i]) == 0) continue; |
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if isnan(bt[j * nx + i]) continue; |
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if isnan(bt[(j+1) * nx + i]) continue; |
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if isnan(bt[(j-1) * nx + i]) continue; |
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if isnan(bt[j * nx + i-1]) continue; |
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if isnan(bt[j * nx + i+1]) continue; |
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if isnan(bt_err[j * nx + i]) continue; |
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 += (2.0)*bt_err[j * nx + i]*bt_err[j * nx + i]; |
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] ))+ |
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(((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] )) ; |
count_mask++; | count_mask++; |
} | } |
} | } |
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*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); |
*mean_derivative_btotal_err_ptr = (sqrt(err))/(count_mask); // error in the quantity (sum)/(count_mask) |
*mean_derivative_btotal_err_ptr = (sqrt(err))/(count_mask); |
//printf("MEANGBT=%f\n",*mean_derivative_btotal_ptr); | //printf("MEANGBT=%f\n",*mean_derivative_btotal_ptr); |
//printf("MEANGBT_err=%f\n",*mean_derivative_btotal_err_ptr); | //printf("MEANGBT_err=%f\n",*mean_derivative_btotal_err_ptr); |
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return 0; | return 0; |
} | } |
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Line 372 int computeBhderivative(float *bh, float |
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Line 402 int computeBhderivative(float *bh, float |
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for (j = 0; j <= ny-1; j++) | 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; |
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if ( (derx_bh[j * nx + i] + dery_bh[j * nx + i]) == 0) continue; |
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if isnan(bh[j * nx + i]) continue; |
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if isnan(bh[(j+1) * nx + i]) continue; |
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if isnan(bh[(j-1) * nx + i]) continue; |
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if isnan(bh[j * nx + i-1]) continue; |
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if isnan(bh[j * nx + i+1]) continue; |
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if isnan(bh_err[j * nx + i]) continue; |
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 += (2.0)*bh_err[j * nx + i]*bh_err[j * nx + i]; |
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] ))+ |
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(((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] )) ; |
count_mask++; | count_mask++; |
} | } |
} | } |
Line 460 int computeBzderivative(float *bz, float |
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Line 498 int computeBzderivative(float *bz, float |
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{ | { |
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; |
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if ( mask[j * nx + i] < 70 || bitmask[j * nx + i] < 30 ) continue; | if ( mask[j * nx + i] < 70 || bitmask[j * nx + i] < 30 ) continue; |
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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_err[j * nx + i]) continue; |
if isnan(bz[(j+1) * nx + i]) continue; |
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if isnan(bz[(j-1) * nx + i]) continue; |
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if isnan(bz[j * nx + i-1]) continue; |
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if isnan(bz[j * nx + i+1]) continue; |
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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 += 2.0*bz_err[j * nx + i]*bz_err[j * nx + i]; |
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])) / |
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(16.0*( derx_bz[j * nx + i]*derx_bz[j * nx + i] + dery_bz[j * nx + i]*dery_bz[j * nx + i] )) + |
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(((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)])) / |
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(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 587 int computeJz(float *bx_err, float *by_e |
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Line 632 int computeJz(float *bx_err, float *by_e |
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// calculate jz at all points | // calculate jz at all points |
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jz[j * nx + i] = (derx[j * nx + i]-dery[j * nx + i]); // jz is in units of Gauss/pix | jz[j * nx + i] = (derx[j * nx + i]-dery[j * nx + i]); // jz is in units of Gauss/pix |
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// the next 7 lines can be used with a for loop that goes from i=0;i<=nx-1 and j=0;j<=ny-1. |
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//int i1, j1,i2, j2; |
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//i1 = i + 1 ; if (i1 >nx-1){i1=nx-1;} |
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//j1 = j + 1 ; if (j1 >ny-1){j1=ny-1;} |
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//i2 = i - 1; if (i2 < 0){i2 = 0;} |
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//j2 = j - 1; if (j2 < 0){i2 = 0;} |
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//jz_err[j * nx + i] = 0.5*sqrt( (bx_err[j1 * nx + i]*bx_err[j1 * nx + i]) + (bx_err[j2 * nx + i]*bx_err[j2 * nx + i]) + |
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// (by_err[j * nx + i1]*by_err[j * nx + i1]) + (by_err[j * nx + i2]*by_err[j * nx + i2]) ) ; |
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jz_err[j * nx + i] = 0.5*sqrt( (bx_err[(j+1) * nx + i]*bx_err[(j+1) * nx + i]) + (bx_err[(j-1) * nx + i]*bx_err[(j-1) * nx + i]) + | jz_err[j * nx + i] = 0.5*sqrt( (bx_err[(j+1) * nx + i]*bx_err[(j+1) * nx + i]) + (bx_err[(j-1) * nx + i]*bx_err[(j-1) * 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)]) ) ; | (by_err[j * nx + (i+1)]*by_err[j * nx + (i+1)]) + (by_err[j * nx + (i-1)]*by_err[j * nx + (i-1)]) ) ; |
jz_err_squared[j * nx + i]= (jz_err[j * nx + i]*jz_err[j * nx + i]); | jz_err_squared[j * nx + i]= (jz_err[j * nx + i]*jz_err[j * nx + i]); |
Line 609 int computeJz(float *bx_err, float *by_e |
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Line 644 int computeJz(float *bx_err, float *by_e |
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/*===========================================*/ | /*===========================================*/ |
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/* Example function 9: Compute quantities on Jz array */ | /* Example function 9: Compute quantities on Jz array */ |
// Compute mean and total current on Jz array. | // Compute mean and total current on Jz array. |
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Line 648 int computeJzsmooth(float *bx, float *by |
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Line 682 int computeJzsmooth(float *bx, float *by |
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/* Calculate mean vertical current density (mean_jz) and total unsigned vertical current (us_i) using smoothed Jz array and continue conditions above */ | /* Calculate mean vertical current density (mean_jz) and total unsigned vertical current (us_i) using smoothed Jz array and continue conditions above */ |
*mean_jz_ptr = curl/(count_mask); /* mean_jz gets populated as MEANJZD */ | *mean_jz_ptr = curl/(count_mask); /* mean_jz gets populated as MEANJZD */ |
*mean_jz_err_ptr = (sqrt(err))*fabs(((rsun_obs/rsun_ref)*(0.00010)*(1/MUNAUGHT)*(1000.))/(count_mask)); // error in the quantity MEANJZD |
*mean_jz_err_ptr = (sqrt(err)/count_mask)*((1/cdelt1)*(rsun_obs/rsun_ref)*(0.00010)*(1/MUNAUGHT)*(1000.)); // error in the quantity MEANJZD |
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*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))*fabs((cdelt1/1)*(rsun_ref/rsun_obs)*(0.00010)*(1/MUNAUGHT)); // error in the quantity TOTUSJZ |
*us_i_err_ptr = (sqrt(err))*((cdelt1/1)*(rsun_ref/rsun_obs)*(0.00010)*(1/MUNAUGHT)); // error in the quantity TOTUSJZ |
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//printf("MEANJZD=%f\n",*mean_jz_ptr); | //printf("MEANJZD=%f\n",*mean_jz_ptr); |
//printf("MEANJZD_err=%f\n",*mean_jz_err_ptr); | //printf("MEANJZD_err=%f\n",*mean_jz_err_ptr); |
Line 668 int computeJzsmooth(float *bx, float *by |
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Line 702 int computeJzsmooth(float *bx, float *by |
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/* Example function 10: Twist Parameter, alpha */ | /* Example function 10: Twist Parameter, alpha */ |
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// The twist parameter, alpha, is defined as alpha = Jz/Bz. In this case, the calculation | // The twist parameter, alpha, is defined as alpha = Jz/Bz. In this case, the calculation |
// for alpha is calculated in the following way (different from Leka and Barnes' approach): |
// for alpha is weighted by Bz (following Hagino et al., http://adsabs.harvard.edu/abs/2004PASJ...56..831H): |
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// (sum of all positive Bz + abs(sum of all negative Bz)) = avg Bz |
// numerator = sum of all Jz*Bz |
// (abs(sum of all Jz at positive Bz) + abs(sum of all Jz at negative Bz)) = avg Jz |
// denominator = sum of Bz*Bz |
// avg alpha = avg Jz / avg Bz |
// alpha = numerator/denominator |
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// The sign is assigned as follows: |
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// If the sum of all Bz is greater than 0, then evaluate the sum of Jz at the positive Bz pixels. |
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// If this value is > 0, then alpha is > 0. |
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// If this value is < 0, then alpha is <0. |
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// |
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// If the sum of all Bz is less than 0, then evaluate the sum of Jz at the negative Bz pixels. |
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// If this value is > 0, then alpha is < 0. |
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// If this value is < 0, then alpha is > 0. |
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// The units of alpha are in 1/Mm | // 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. |
Line 697 int computeAlpha(float *jz_err, float *b |
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Line 722 int computeAlpha(float *jz_err, float *b |
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int ny = dims[1]; | int ny = dims[1]; |
int i = 0; | int i = 0; |
int j = 0; | int j = 0; |
int count_mask = 0; |
double alpha_total = 0.0; |
double a = 0.0; |
double C = ((1/cdelt1)*(rsun_obs/rsun_ref)*(1000000.)); |
double b = 0.0; |
double total = 0.0; |
double c = 0.0; |
double A = 0.0; |
double d = 0.0; |
double B = 0.0; |
double sum1 = 0.0; |
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double sum2 = 0.0; |
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double sum3 = 0.0; |
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double sum4 = 0.0; |
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double sum = 0.0; |
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double sum5 = 0.0; |
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double sum6 = 0.0; |
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double sum_err = 0.0; |
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if (nx <= 0 || ny <= 0) return 1; | if (nx <= 0 || ny <= 0) return 1; |
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for (i = 1; i < nx-1; i++) | for (i = 1; i < nx-1; i++) |
{ | { |
for (j = 1; j < ny-1; j++) | for (j = 1; j < ny-1; j++) |
Line 721 int computeAlpha(float *jz_err, float *b |
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Line 737 int computeAlpha(float *jz_err, float *b |
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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 (jz[j * nx + i] == 0.0) continue; |
if (bz_err[j * nx + i] == 0.0) continue; |
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if (bz[j * nx + i] == 0.0) continue; | if (bz[j * nx + i] == 0.0) continue; |
if (bz[j * nx + i] > 0) sum1 += ( bz[j * nx + i] ); a++; |
A += jz[j*nx+i]*bz[j*nx+i]; |
if (bz[j * nx + i] <= 0) sum2 += ( bz[j * nx + i] ); b++; |
B += bz[j*nx+i]*bz[j*nx+i]; |
if (bz[j * nx + i] > 0) sum3 += ( jz[j * nx + i] ); c++; |
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if (bz[j * nx + i] <= 0) sum4 += ( jz[j * nx + i] ); d++; |
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sum5 += bz[j * nx + i]; |
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/* sum_err is a fractional uncertainty */ |
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sum_err += sqrt(((jz_err[j * nx + i]*jz_err[j * nx + i])/(jz[j * nx + i]*jz[j * nx + i])) + ((bz_err[j * nx + i]*bz_err[j * nx + i])/(bz[j * nx + i]*bz[j * nx + i]))) * fabs( ( (jz[j * nx + i]) / (bz[j * nx + i]) ) *(1/cdelt1)*(rsun_obs/rsun_ref)*(1000000.)); |
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count_mask++; |
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} | } |
} | } |
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sum = (((fabs(sum3))+(fabs(sum4)))/((fabs(sum2))+sum1))*((1/cdelt1)*(rsun_obs/rsun_ref)*(1000000.)); /* the units for (jz/bz) are 1/Mm */ |
for (i = 1; i < nx-1; i++) |
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{ |
/* Determine the sign of alpha */ |
for (j = 1; j < ny-1; j++) |
if ((sum5 > 0) && (sum3 > 0)) sum=sum; |
{ |
if ((sum5 > 0) && (sum3 <= 0)) sum=-sum; |
if ( mask[j * nx + i] < 70 || bitmask[j * nx + i] < 30 ) continue; |
if ((sum5 < 0) && (sum4 <= 0)) sum=sum; |
if isnan(jz[j * nx + i]) continue; |
if ((sum5 < 0) && (sum4 > 0)) sum=-sum; |
if isnan(bz[j * nx + i]) continue; |
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if (jz[j * nx + i] == 0.0) continue; |
*mean_alpha_ptr = sum; /* Units are 1/Mm */ |
if (bz[j * nx + i] == 0.0) continue; |
*mean_alpha_err_ptr = (sqrt(sum_err*sum_err)) / ((a+b+c+d)*100.0); // error in the quantity (sum)/(count_mask); factor of 100 comes from converting percent |
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]; |
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} |
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} |
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//printf("MEANALP=%f\n",*mean_alpha_ptr); |
/* Determine the absolute value of alpha. The units for alpha are 1/Mm */ |
//printf("MEANALP_err=%f\n",*mean_alpha_err_ptr); |
alpha_total = ((A/B)*C); |
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*mean_alpha_ptr = alpha_total; |
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*mean_alpha_err_ptr = (C/B)*(sqrt(total)); |
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return 0; | return 0; |
} | } |
Line 773 int computeHelicity(float *jz_err, float |
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Line 786 int computeHelicity(float *jz_err, float |
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int count_mask = 0; | int count_mask = 0; |
double sum = 0.0; | double sum = 0.0; |
double sum2 = 0.0; | double sum2 = 0.0; |
double sum_err = 0.0; |
double err = 0.0; |
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if (nx <= 0 || ny <= 0) return 1; | if (nx <= 0 || ny <= 0) return 1; |
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Line 784 int computeHelicity(float *jz_err, float |
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Line 797 int computeHelicity(float *jz_err, float |
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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; |
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if isnan(jz_err[j * nx + i]) continue; |
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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); // contributes to MEANJZH and ABSNJZH | 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); // contributes to TOTUSJH | sum2 += fabs(jz[j * nx + i]*bz[j * nx + i])*(1/cdelt1)*(rsun_obs/rsun_ref); // contributes to TOTUSJH |
sum_err += sqrt(((jz_err[j * nx + i]*jz_err[j * nx + i])/(jz[j * nx + i]*jz[j * nx + i])) + ((bz_err[j * nx + i]*bz_err[j * nx + i])/(bz[j * nx + i]*bz[j * nx + i]))) * fabs(jz[j * nx + i]*bz[j * nx + i]*(1/cdelt1)*(rsun_obs/rsun_ref)); |
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++; |
} | } |
} | } |
Line 797 int computeHelicity(float *jz_err, float |
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Line 812 int computeHelicity(float *jz_err, float |
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*total_us_ih_ptr = sum2 ; /* Units are G^2 / m ; keyword is TOTUSJH */ | *total_us_ih_ptr = sum2 ; /* Units are G^2 / m ; keyword is TOTUSJH */ |
*total_abs_ih_ptr = fabs(sum) ; /* Units are G^2 / m ; keyword is ABSNJZH */ | *total_abs_ih_ptr = fabs(sum) ; /* Units are G^2 / m ; keyword is ABSNJZH */ |
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*mean_ih_err_ptr = (sqrt(sum_err*sum_err)) / (count_mask*100.0) ; // error in the quantity MEANJZH |
*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(sum_err*sum_err)) / (100.0) ; // error in the quantity TOTUSJH |
*total_us_ih_err_ptr = (sqrt(err))*(1/cdelt1)*(rsun_obs/rsun_ref) ; // error in the quantity TOTUSJH |
*total_abs_ih_err_ptr = (sqrt(sum_err*sum_err)) / (100.0) ; // error in the quantity ABSNJZH |
*total_abs_ih_err_ptr = (sqrt(err))*(1/cdelt1)*(rsun_obs/rsun_ref) ; // error in the quantity ABSNJZH |
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//printf("MEANJZH=%f\n",*mean_ih_ptr); | //printf("MEANJZH=%f\n",*mean_ih_ptr); |
//printf("MEANJZH_err=%f\n",*mean_ih_err_ptr); | //printf("MEANJZH_err=%f\n",*mean_ih_err_ptr); |
Line 900 int computeFreeEnergy(float *bx_err, flo |
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Line 915 int computeFreeEnergy(float *bx_err, flo |
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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 += ( ((bpx[j * nx + i] - bx[j * nx + i])*(bpx[j * nx + i] - bx[j * nx + i])) + ((bpy[j * nx + i] - by[j * nx + i])*(bpy[j * nx + i] - by[j * nx + i])) )*(cdelt1*cdelt1*(rsun_ref/rsun_obs)*(rsun_ref/rsun_obs)*100.0*100.0); |
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 += ( ((bpx[j * nx + i] - bx[j * nx + i])*(bpx[j * nx + i] - bx[j * nx + i])) + ((bpy[j * nx + i] - by[j * nx + i])*(bpy[j * nx + i] - by[j * nx + i])) ); |
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]*bx[j * nx + i]*bx_err[j * nx + i]*bx_err[j * nx + i]) + (4.0*by[j * nx + i]*by[j * nx + i]*by_err[j * nx + i]*by_err[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]) + |
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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++; |
} | } |
} | } |
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*meanpotptr = (sum1/(8.*PI)) / (count_mask); /* Units are ergs per cubic centimeter */ |
/* Units of meanpotptr are ergs per centimeter */ |
*meanpot_err_ptr = (sqrt(err))*fabs(cdelt1*cdelt1*(rsun_ref/rsun_obs)*(rsun_ref/rsun_obs)*100.0*100.0) / (count_mask*8.*PI); // error in the quantity (sum)/(count_mask) |
*meanpotptr = (sum1) / (count_mask*8.*PI) ; /* Units are ergs per cubic centimeter */ |
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*meanpot_err_ptr = (sqrt(err)) / (count_mask*8.*PI); // error in the quantity (sum)/(count_mask) |
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/* Units of sum are ergs/cm^3, units of factor are cm^2/pix^2; therefore, units of totpotptr are ergs per centimeter */ | /* 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); | *totpotptr = (sum)/(8.*PI); |
Line 926 int computeFreeEnergy(float *bx_err, flo |
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Line 943 int computeFreeEnergy(float *bx_err, flo |
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/*===========================================*/ | /*===========================================*/ |
/* 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 */ | /* 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 */ |
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int computeShearAngle(float *bx_err, float *by_err, float *bh_err, 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 *meanshear_angle_err_ptr, float *area_w_shear_gt_45ptr, int *mask, int *bitmask) | float *meanshear_angleptr, float *meanshear_angle_err_ptr, float *area_w_shear_gt_45ptr, int *mask, int *bitmask) |
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{ | { |
int nx = dims[0]; | int nx = dims[0]; |
int ny = dims[1]; | int ny = dims[1]; |
int i = 0; | int i = 0; |
int j = 0; | int j = 0; |
int count_mask = 0; |
float count_mask = 0; |
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float count = 0; |
double dotproduct = 0.0; | double dotproduct = 0.0; |
double magnitude_potential = 0.0; | double magnitude_potential = 0.0; |
double magnitude_vector = 0.0; | double magnitude_vector = 0.0; |
double shear_angle = 0.0; | double shear_angle = 0.0; |
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double denominator = 0.0; |
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double term1 = 0.0; |
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double term2 = 0.0; |
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double term3 = 0.0; |
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double sumsum = 0.0; |
double err = 0.0; | double err = 0.0; |
double sum = 0.0; |
double part1 = 0.0; |
double count = 0.0; |
double part2 = 0.0; |
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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; |
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Line 957 int computeShearAngle(float *bx_err, flo |
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Line 983 int computeShearAngle(float *bx_err, flo |
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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; |
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if isnan(by_err[j * nx + i]) continue; |
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if isnan(bz_err[j * nx + i]) continue; |
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/* 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]) ); |
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//printf("dotproduct=%f\n",dotproduct); |
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//printf("magnitude_potential=%f\n",magnitude_potential); |
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//printf("magnitude_vector=%f\n",magnitude_vector); |
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shear_angle = acos(dotproduct/(magnitude_potential*magnitude_vector))*(180./PI); | shear_angle = acos(dotproduct/(magnitude_potential*magnitude_vector))*(180./PI); |
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sumsum += shear_angle; |
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//printf("shear_angle=%f\n",shear_angle); |
count ++; | count ++; |
sum += shear_angle ; |
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err += -(1./(1.- sqrt(bx_err[j * nx + i]*bx_err[j * nx + i]+by_err[j * nx + i]*by_err[j * nx + i]+bh_err[j * nx + i]*bh_err[j * nx + i]))); |
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if (shear_angle > 45) count_mask ++; | if (shear_angle > 45) count_mask ++; |
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// For the error analysis |
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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]; |
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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 |
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denominator = part1*part1*part1*part2*(1.0-((part3*part3)/(part1*part2))); |
|
|
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err = (term1*term1*bx_err[j * nx + i]*bx_err[j * nx + i])/(denominator) + |
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(term1*term1*bx_err[j * nx + i]*bx_err[j * nx + i])/(denominator) + |
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(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 */ |
*meanshear_angle_err_ptr = (sqrt(err*err))/(count); // error in the quantity (sum)/(count_mask) |
*meanshear_angle_err_ptr = (sqrt(err)/count_mask)*(180./PI); |
*area_w_shear_gt_45ptr = (count_mask/(count))*(100.0);/* 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. */ |
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*area_w_shear_gt_45ptr = (count_mask/(count))*(100.0); |
| |
//printf("MEANSHR=%f\n",*meanshear_angleptr); | //printf("MEANSHR=%f\n",*meanshear_angleptr); |
//printf("MEANSHR_err=%f\n",*meanshear_angle_err_ptr); | //printf("MEANSHR_err=%f\n",*meanshear_angle_err_ptr); |
|
//printf("SHRGT45=%f\n",*area_w_shear_gt_45ptr); |
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|
|
return 0; |
|
} |
|
|
|
/*===========================================*/ |
|
/* Example function 15: R parameter as defined in Schrijver, 2007 */ |
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// |
|
// Note that there is a restriction on the function fsample() |
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// If the following occurs: |
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// nx_out > floor((ny_in-1)/scale + 1) |
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// ny_out > floor((ny_in-1)/scale + 1), |
|
// where n*_out are the dimensions of the output array and n*_in |
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// 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; |
|
sum += pmapn[index]*abs(rim[index]); |
|
} |
|
} |
|
|
|
if (sum < 1.0) |
|
*Rparam = 0.0; |
|
else |
|
*Rparam = log10(sum); |
|
|
|
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; |
|
|
|
/* Multiplier */ |
|
float vectorMulti[] = {1.,-1.,1.}; |
|
|
|
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] * vectorMulti[0]) * (bz[i] * vectorMulti[2]) * k_h; |
|
fy[i] = (by[i] * vectorMulti[1]) * (bz[i] * vectorMulti[2]) * 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; |
|
|
|
return 0; |
|
|
|
} |
| |
/*==================KEIJI'S CODE =========================*/ | /*==================KEIJI'S CODE =========================*/ |
| |
Line 1099 void greenpot(float *bx, float *by, floa |
|
Line 1350 void greenpot(float *bx, float *by, floa |
|
| |
char *sw_functions_version() // Returns CVS version of sw_functions.c | char *sw_functions_version() // Returns CVS version of sw_functions.c |
{ | { |
return strdup("$Id$"); |
return strdup("$Id"); |
} | } |
| |
/* ---------------- end of this file ----------------*/ | /* ---------------- end of this file ----------------*/ |