prt_final.cpp

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/* This file is part of Cloudy and is copyright (C)1978-2022 by Gary J. Ferland and
 * others.  For conditions of distribution and use see copyright notice in license.txt */
/*PrtFinal create PrtFinal pages of printout, emission line intensities, etc */
/*StuffComment routine to stuff comments into the stack of comments, def in lines.h */
/*gett2o3 analyze computed [OIII] spectrum to get t^2 */
/*gett2 analyze computed structure to get structural t^2 */
#include "cddefines.h"
#include "iso.h"
#include "cddrive.h"
#include "dynamics.h"
#include "lines.h"
#include "taulines.h"
#include "warnings.h"
#include "phycon.h"
#include "dense.h"
#include "grainvar.h"
#include "h2.h"
#include "hmi.h"
#include "thermal.h"
#include "hydrogenic.h"
#include "rt.h"
#include "atmdat.h"
#include "timesc.h"
#include "opacity.h"
#include "struc.h"
#include "pressure.h"
#include "conv.h"
#include "geometry.h"
#include "called.h"
#include "iterations.h"
#include "version.h"
#include "colden.h"
#include "input.h"
#include "radius.h"
#include "peimbt.h"
#include "ipoint.h"
#include "mean.h"
#include "wind.h"
#include "prt.h"
#include "rfield.h"
#include "freebound.h"
#include "lines_service.h"

// helper routine to center a line in the output
STATIC void PrintCenterLine(FILE* io,              // file pointer
                     const char chLine[],   // string to print, should not end with '\n'
                     size_t ArrLen,         // length of chLine
                     size_t LineLen)        // width of the line
{
        unsigned long StrLen = min(strlen(chLine),ArrLen);
        ASSERT( StrLen < LineLen );
        unsigned long pad = (LineLen-StrLen)/2;
        for( unsigned long i=0; i < pad; ++i )
                fprintf( io, " " );
        fprintf( io, "%s\n", chLine );
}

/*gett2o3 analyze computed [OIII] spectrum to get t^2 */
STATIC void gett2o3(realnum *tsqr);

/*gett2 analyze computed structure to get structural t^2 */
STATIC void gett2(realnum *tsqr);

/* helper routine for printing averaged quantities */
inline void PrintRatio(double q1, double q2)
{
        double ratio = ( q2 > SMALLFLOAT ) ? q1/q2 : 0.;
        fprintf( ioQQQ, " " );
        fprintf( ioQQQ, PrintEfmt("%9.2e", ratio) );
        return;
}

STATIC void PrintSpectrum ()
{
        vector<realnum> sclsav, scaled;
        vector<long int> ipSortLines;
        vector<double> xLog_line_lumin;
        vector<short int> lgPrt;
        vector<long> Slines;

        long int
          i,
          ipEmType,
          iprnt,
          nline,
          j,
          ipNegIntensity[33], 
          nNegIntenLines;

        double a,
          /* N.B. 8 is used for following preset in loop */
          d[8],
          snorm;


        DEBUG_ENTRY( "PrintSpectrum()" );


        /*----------------------------------------------------------
         *
         * first set scaled lines */

        /* get space for scaled */
        scaled.resize(LineSave.nsum);

        /* get space for xLog_line_lumin */
        xLog_line_lumin.resize(LineSave.nsum);

        /* this is option to not print certain contributions */
        /* gjf 98 jun 10, get space for array lgPrt */
        lgPrt.resize(LineSave.nsum);

        /* get space for sclsav */
        sclsav.resize(LineSave.nsum );

        Slines.resize(LineSave.nsum);

        /* get space for array of indices for lines, for possible sorting */
        ipSortLines.resize(LineSave.nsum );

        ASSERT( LineSave.ipNormWavL >= 0 );

        /* option to also print usual first two sets of line arrays 
         * but for two sets of cumulative arrays for time-dependent sims too */
        int nEmType = 2;
        if( prt.lgPrintLineCumulative && iteration > dynamics.n_initial_relax )
                nEmType = 4;

        for( ipEmType=0; ipEmType<nEmType; ++ipEmType )
        {
                if( ! prt.lgPrintBlockIntrinsic && (ipEmType == 0 || ipEmType == 2) )
                        continue;
                if( ! prt.lgPrintBlockEmergent  && (ipEmType == 1 || ipEmType == 3) )
                        continue;

                if( ipEmType > 1 && strcmp( rfield.chCumuType, "NONE" ) == 0 )
                        continue;

                /* this is the intensity of the line spectrum will be normalized to */
                snorm = LineSave.lines[LineSave.ipNormWavL].SumLine(ipEmType);

                /* check that this line has positive intensity */
                if( ((snorm <= SMALLDOUBLE ) || (LineSave.ipNormWavL < 0)) || (LineSave.ipNormWavL > LineSave.nsum) )
                {
                        char wl_str[20] = "";
                        sprt_wl( wl_str, LineSave.lines[LineSave.ipNormWavL].wavelength() );
                        fprintf(ioQQQ,
                                "\n\n"
                                " >>PROBLEM Normalization line (\"%s\" %s) has small or zero intensity, its value was %.2e and its intensity was set to 1.\n"
                                " >>Please consider using another normalization line (this is set with the NORMALIZE command).\n",
                                LineSave.lines[LineSave.ipNormWavL].chALab(), wl_str, snorm);
                        fprintf( ioQQQ, " >>The relative intensities will be meaningless, and many lines may appear too faint.\n" );
                        snorm = 1.;
                }
                for( i=0; i < LineSave.nsum; i++ )
                {
                        /* Do only for emergent lines */
                        if( ipEmType == 1 || ipEmType == 3 )
                                LineSave.lines[i].checkEmergent( ipEmType );

                        /* when normalization line is off-scale small (generally a model
                         * with mis-set parameters) the scaled intensity can be larger than
                         * a realnum - this is not actually a problem since the number will
                         * overflow the format and hence be unreadable */
                        double scale = LineSave.lines[i].SumLine(ipEmType)/snorm*LineSave.ScaleNormLine;
                        /* this will become a realnum, so limit dynamic range */
                        scale = MIN2(BIGFLOAT , scale );
                        scale = MAX2( -BIGFLOAT , scale );

                        /* find logs of ALL line intensities/luminosities */
                        scaled[i] = (realnum)scale;

                        // the keyword volatile works around a bug in g++
                        // see https://gcc.gnu.org/bugzilla/show_bug.cgi?id=65425
                        volatile double line_lumin = LineSave.lines[i].SumLine(ipEmType) * radius.Conv2PrtInten;
                        xLog_line_lumin[i] = ( line_lumin > 0. ) ? log10(line_lumin) : 0.;
                }

                /* now find which lines to print, which to ignore because they are the wrong type */
                for( i=0; i < LineSave.nsum; i++ )
                {
                        /* never print unit normalization check, at least in main list */
                        if( LineSave.lines[i].isUnit() || LineSave.lines[i].isUnitD() )
                                lgPrt[i] = false;
                        else if( !prt.lgPrnColl && LineSave.lines[i].isCollisional()  )
                                lgPrt[i] = false;
                        else if( !prt.lgPrnPump && LineSave.lines[i].isPump() )
                                lgPrt[i] = false;
                        else if( !prt.lgPrnInwd && ( LineSave.lines[i].isInward() ||
                                                        LineSave.lines[i].isInwardContinuum() ||
                                                        LineSave.lines[i].isInwardTotal() )
                                                   )
                                lgPrt[i] = false;
                        else if( !prt.lgPrnHeat && LineSave.lines[i].isHeat() )
                                lgPrt[i] = false;
                        else
                                lgPrt[i] = true;
                }

                /* do not print relatively faint lines unless requested */
                nNegIntenLines = 0;

                /* set ipNegIntensity to bomb to make sure set in following */
                for(i=0; i< 32; i++ )
                {
                        ipNegIntensity[i] = LONG_MAX;
                }

                for(i=0;i<8;++i)
                {
                        d[i] = -DBL_MAX;
                }

                /* create header for blocks of emission line intensities */
                const char chIntensityType[4][100]=
                {"     Intrinsic" , "      Emergent" , "Cumulative intrinsic" , "Cumulative emergent" };
                ASSERT( ipEmType==0 || ipEmType==1 || ipEmType==2 || ipEmType==3 );
                /* if true then printing in 4 columns of lines, this is offset to
                 * center the title */
                fprintf( ioQQQ, "\n" );
                if( prt.lgPrtLineArray )
                        fprintf( ioQQQ, "                                              " );
                fprintf( ioQQQ, "%s" , chIntensityType[ipEmType] );
                fprintf( ioQQQ, " line intensities\n" );
                // caution about emergent intensities when outward optical
                // depths are not yet known
                if( ipEmType==1 && iteration==1 )
                        fprintf(ioQQQ," Caution: emergent intensities are not reliable on the "
                        "first iteration.\n");

                /* option to only print brighter lines */
                if( prt.lgFaintOn )
                {
                        iprnt = 0;
                        for( i=0; i < LineSave.nsum; i++ )
                        {
                                /* this insanity can happen when arrays overrun */
                                ASSERT( iprnt <= i);
                                if( scaled[i] >= prt.TooFaint && lgPrt[i] )
                                {
                                        if( prt.lgPrtLineLog )
                                        {
                                                xLog_line_lumin[iprnt] = log10(LineSave.lines[i].SumLine(ipEmType) * radius.Conv2PrtInten);
                                        }
                                        else
                                        {
                                                xLog_line_lumin[iprnt] = LineSave.lines[i].SumLine(ipEmType) * radius.Conv2PrtInten;
                                        }
                                        sclsav[iprnt] = scaled[i];
                                        /* check that null is correct, string overruns have 
                                         * been a problem in the past */
                                        Slines[iprnt] = i;
                                        ++iprnt;
                                }
                                else if( -scaled[i] > prt.TooFaint && lgPrt[i] )
                                {
                                        /* negative intensities occur if line absorbs continuum */
                                        ipNegIntensity[nNegIntenLines] = i;
                                        nNegIntenLines = MIN2(32,nNegIntenLines+1);
                                }
                                /* special labels to give id for blocks of lines 
                                 * do not add these labels when sorting by wavelength since invalid */
                                else if( LineSave.lines[i].isSeparator() &&!prt.lgSortLines )
                                {
                                        xLog_line_lumin[iprnt] = 0.;
                                        sclsav[iprnt] = 0.;
                                        Slines[iprnt] = i;
                                        ++iprnt;
                                }
                        }
                }

                else
                {
                        /* print everything */
                        iprnt = LineSave.nsum;
                        for( i=0; i < LineSave.nsum; i++ )
                        {
                                if( LineSave.lines[i].isSeparator() )
                                {
                                        xLog_line_lumin[i] = 0.;
                                        sclsav[i] = 0.;
                                }
                                else
                                {
                                        sclsav[i] = scaled[i];
                                }
                                Slines[i] = i;
                                if( scaled[i] < 0. )
                                {
                                        ipNegIntensity[nNegIntenLines] = i;
                                        nNegIntenLines = MIN2(32,nNegIntenLines+1);
                                }
                        }
                }

                /* reorder lines according to wavelength for comparison with spectrum
                 * including writing out the results */
                if( prt.lgSortLines )
                {
                        int lgFlag;
                        if( prt.lgSortLineWavelength )
                        {
                                /* first check if wavelength range specified */
                                if( prt.wlSort1 >-0.1 )
                                {
                                        j = 0;
                                        /* skip over those lines not desired */
                                        for( i=0; i<iprnt; ++i )
                                        {
                                                realnum wavelength=LineSave.lines[Slines[i]].wavelength();
                                                if( wavelength>= prt.wlSort1 && wavelength<= prt.wlSort2 )
                                                {
                                                        if( j!=i )
                                                        {
                                                                sclsav[j] = sclsav[i];
                                                                /* >>chng 05 feb 03, add this, had been left out, 
                                                                 * thanks to Marcus Copetti for discovering the bug */
                                                                xLog_line_lumin[j] = xLog_line_lumin[i];
                                                                Slines[j] = Slines[i];
                                                        }
                                                        ++j;
                                                }
                                        }
                                        iprnt = j;
                                }

                                vector<realnum> wavelength(iprnt);
                                for( i=0; i<iprnt; ++i )
                                {
                                        wavelength[i] = LineSave.lines[Slines[i]].wavelength();
                                }

                                /*spsort netlib routine to sort array returning sorted indices */
                                if( iprnt > 0 )
                                {
                                        spsort(&wavelength[0], 
                                                         iprnt, 
                                                         &ipSortLines[0], 
                                                         /* flag saying what to do - 1 sorts into increasing order, not changing
                                                          * the original routine */
                                                         1, 
                                                         &lgFlag);
                                        if( lgFlag ) 
                                        {
                                                fprintf(ioQQQ," >>> PROBLEM spsort reports error\n");
                                                TotalInsanity();
                                        }
                                }
                        }
                        else if( prt.lgSortLineIntensity )
                        {
                                if( iprnt > 0 )
                                {
                                        /*spsort netlib routine to sort array returning sorted indices */
                                        spsort(&sclsav[0], 
                                                         iprnt, 
                                                  &ipSortLines[0], 
                                                  /* flag saying what to do - -1 sorts into decreasing order, not changing
                                                   * the original routine */
                                                  -1, 
                                                  &lgFlag);
                                        if( lgFlag ) 
                                                TotalInsanity();
                                }
                        }
                        else
                        {
                                /* only to keep lint happen, or in case vars clobbered */
                                TotalInsanity();
                        }
                }
                else
                {
                        /* do not sort lines (usual case) simply print in incoming order */
                        for( i=0; i<iprnt; ++i )
                        {
                                ipSortLines[i] = i;
                        }
                }

                /* the number of lines to print better be positive */
                if (iprnt == 0)
                        fprintf(ioQQQ," >>>> No strong lines found <<<<\n");

                /* print out all lines which made it through the faint filter,
                 * there are iprnt lines to print 
                 * can print in either 4 column (the default ) or one long
                 * column of lines */
                if( prt.lgPrtLineArray )
                {
                        /* four or three columns ? - depends on how many sig figs */
                        if( LineSave.sig_figs >= 5 )
                        {
                                nline = (iprnt + 2)/3;
                        }
                        else
                        {
                                /* nline will be the number of horizontal lines - 
                                * the 4 represents the 4 columns */
                                nline = (iprnt + 3)/4;
                        }
                }
                else
                {
                        /* this option print a single column of emission lines */
                        nline = iprnt;
                }

                /* now loop over the spectrum, printing lines */
                for( i=0; i < nline; i++ )
                {

                        /* this skips over nline per step, to go to the next column in 
                         * the output */
                        for( j=i; j<iprnt; j = j + nline)
                        { 
                                /* index with possibly reordered set of lines */
                                long ipLin = ipSortLines[j];
                                /* this is the actual print statement for the emission line
                                 * spectrum*/
                                if( LineSave.lines[Slines[ipLin]].isSeparator() )
                                {
                                        /* special labels */
                                        /*fprintf( ioQQQ, "1111222223333333444444444      " ); */
                                        /* this string was set in */
                                        fprintf( ioQQQ, "%s",LineSave.chHoldComments[
                                                                        (int)LineSave.lines[Slines[ipLin]].wavelength()] ); 
                                }
                                else
                                {
                                        /* the label for the line */
                                        LineSave.lines[Slines[ipLin]].prt(ioQQQ);

                                        /* print the log of the intensity/luminosity of the 
                                         * lines, the usual case */
                                        fprintf( ioQQQ, " " );
                                        if( prt.lgPrtLineLog )
                                        {
                                                fprintf( ioQQQ, "%*.3f", prt_linecol.absint_len, xLog_line_lumin[ipLin] );
                                        }
                                        else
                                        {
                                                /* print linear quantity instead */
                                                fprintf( ioQQQ, " %*.2e", prt_linecol.absint_len, xLog_line_lumin[ipLin] );
                                        }

                                        /* print scaled intensity with various formats,
                                         * depending on order of magnitude.  value is
                                         * always the same but the format changes. */
                                        fprintf( ioQQQ, " " );
                                        if( sclsav[ipLin] < 9999.5 )
                                        {
                                                fprintf( ioQQQ, "%*.4f", prt_linecol.relint_len, sclsav[ipLin] );
                                        }
                                        else if( sclsav[ipLin] < 99999.5 )
                                        {
                                                fprintf( ioQQQ, "%*.3f", prt_linecol.relint_len, sclsav[ipLin] );
                                        }
                                        else if( sclsav[ipLin] < 999999.5 )
                                        {
                                                fprintf( ioQQQ, "%*.2f", prt_linecol.relint_len, sclsav[ipLin] );
                                        }
                                        else if( sclsav[ipLin] < 9999999.5 )
                                        {
                                                fprintf( ioQQQ, "%*.1f", prt_linecol.relint_len, sclsav[ipLin] );
                                        }
                                        else
                                        {
                                                fprintf( ioQQQ, "%s", prt_linecol.relint_outrange.c_str() );
                                        }
                                }

                                /* now end the block with some spaces to set next one off */
                                if( j+nline < iprnt )
                                        fprintf( ioQQQ, "%s", prt_linecol.col_gap.c_str() );
                        }
                        /* now end the lines */
                        fprintf( ioQQQ, "\n" );
                }

                if( nNegIntenLines > 0 )
                {
                        fprintf( ioQQQ, " Lines with negative intensities -  Linear intensities relative to normalize line.\n" );
                        fprintf( ioQQQ, "          " );

                        for( i=0; i < nNegIntenLines; ++i )
                        {
                                fprintf( ioQQQ, "%ld %s %.1e, ", 
                                                        ipNegIntensity[i], 
                                                        LineSave.lines[ipNegIntensity[i]].label().c_str(), 
                                                        scaled[ipNegIntensity[i]] );
                        }
                        fprintf( ioQQQ, "\n" );
                }
        }


        /* now find which were the very strongest, more that 5% of cooling */
        j = 0;
        for( i=0; i < LineSave.nsum; i++ )
        {
                a = (double)LineSave.lines[i].SumLine(0)/(double)thermal.totcol;
                if( (a >= 0.05) && LineSave.lines[i].chSumTyp() == 'c' )
                {
                        ipNegIntensity[j] = i;
                        d[j] = a;
                        j = MIN2(j+1,7);
                }
        }

        fprintf( ioQQQ, "\n\n\n %s\n", input.chTitle );
        if( j != 0 )
        {
                fprintf( ioQQQ, " Cooling: " );
                for( i=0; i < j; i++ )
                {
                        fprintf( ioQQQ, " ");
                        LineSave.lines[ipNegIntensity[i]].prt(ioQQQ);
                        fprintf( ioQQQ, ":%5.3f", 
                                d[i] );
                }
                fprintf( ioQQQ, "  \n" );
        }

        /* now find strongest heating, more that 5% of total */
        j = 0;
        for( i=0; i < LineSave.nsum; i++ )
        {
                a = safe_div((double)LineSave.lines[i].SumLine(0),(double)thermal.power,0.0);
                if( (a >= 0.05) && LineSave.lines[i].chSumTyp() == 'h' )
                {
                        ipNegIntensity[j] = i;
                        d[j] = a;
                        j = MIN2(j+1,7);
                }
        }

        if( j != 0 )
        {
                fprintf( ioQQQ, " Heating: " );
                for( i=0; i < j; i++ )
                {
                        fprintf( ioQQQ, " ");
                        LineSave.lines[ipNegIntensity[i]].prt(ioQQQ);
                        fprintf( ioQQQ, ":%5.3f", 
                                d[i] );
                }
                fprintf( ioQQQ, "  \n" );
        }

        return;
}

void PrtFinal(void)
{
        char chCKey[5], 
          chGeo[7], 
          chPlaw[21];
        const char* chUnit;

        long int 
          i, 
          ip2500, 
          ip2kev,
          j;
        double o4363, 
          bacobs, 
          absint, 
          bacthn, 
          hbcab, 
          hbeta, 
          o5007;

        double a,
          ajmass, 
          ajmin, 
          alfox, 
          bot, 
          bottom, 
          bremtk, 
          coleff, 
          dmean, 
          ferode, 
          he4686, 
          he5876, 
          heabun, 
          hescal, 
          pion, 
          plow, 
          powerl, 
          qion, 
          qlow, 
          rate, 
          ratio, 
          reclin, 
          rjeans, 
          tmean, 
          top, 
          THI,/* HI 21 cm spin temperature */
          uhel, 
          uhl, 
          usp, 
          wmean, 
          znit;

          double bac, 
          tel, 
          x;

        DEBUG_ENTRY( "PrtFinal()" );

        /* return if not talking */
        /* >>chng 05 nov 11, also if nzone is zero, sign of abort before model got started */
        if( !called.lgTalk || (lgAbort && nzone< 1)  )
        { 
                return;
        }

        /* print out header, or parts that were saved */

        /* this would be a major logical error */
        ASSERT( LineSave.nsum > 1 );

        /* print name and version number */
        fprintf( ioQQQ, "\f\n");
        fprintf( ioQQQ, "%23c", ' ' );
        int len = (int)strlen(t_version::Inst().chVersion);
        int repeat = (72-len)/2;
        for( i=0; i < repeat; ++i )
                fprintf( ioQQQ, "*" );
        fprintf( ioQQQ, "> Cloudy %s <", t_version::Inst().chVersion );
        for( i=0; i < 72-repeat-len; ++i )
                fprintf( ioQQQ, "*" );
        fprintf( ioQQQ, "\n" );

        for( i=0; i <= input.nSave; i++ )
        {
                if( input.InclLevel[i] > 0 || !input.lgVisible[i] )
                        continue;

                /* copy start of command to key, making it into capitals */
                cap4(chCKey,input.chCardSav[i]);

                /* print if not continue */
                if( strcmp(chCKey,"CONT") != 0 )
                        fprintf( ioQQQ, "%23c* %-80s*\n", ' ', input.chCardSav[i] );
        }

        /* print log of ionization parameter if greater than zero - U==0 for PDR calcs */
        if( rfield.uh > 0. )
        {
                a = log10(rfield.uh);
        }
        else
        {
                a = -37.;
        }

        fprintf( ioQQQ, 
                "                       *********************************> Log(U):%6.2f <*********************************\n", 
          a );

        if( t_version::Inst().nBetaVer > 0 )
        {
                fprintf( ioQQQ, 
                        "\n                        This is a beta test version of the code, and is intended for testing only.\n\n" );
        }

        if( warnings.lgWarngs )
        {
                fprintf( ioQQQ, "  \n" );
                fprintf( ioQQQ, "                       >>>>>>>>>> Warning!\n" );
                fprintf( ioQQQ, "                       >>>>>>>>>> Warning!\n" );
                fprintf( ioQQQ, "                       >>>>>>>>>> Warning!  Warnings exist, this calculation has serious problems.\n" );
                fprintf( ioQQQ, "                       >>>>>>>>>> Warning!\n" );
                fprintf( ioQQQ, "                       >>>>>>>>>> Warning!\n" );
                fprintf( ioQQQ, "  \n" );
        }
        else if( warnings.lgCautns )
        {
                fprintf( ioQQQ, 
                        "                       >>>>>>>>>> Cautions are present.\n" );
        }

        if( conv.lgBadStop )
        {
                fprintf( ioQQQ, 
                        "                       >>>>>>>>>> The calculation stopped for unintended reasons.\n" );
        }

        if( iterations.lgIterAgain )
        {
                fprintf( ioQQQ, 
                        "                       >>>>>>>>>> Another iteration is needed.  Use the ITERATE command.\n" );
        }

        /* open or closed geometry?? */
        if( geometry.lgSphere )
        {
                strcpy( chGeo, "Closed" );
        }
        else
        {
                strcpy( chGeo, "  Open" );
        }

        /* now give description of pressure law */
        if( strcmp(dense.chDenseLaw,"CPRE") == 0 )
        {
                strcpy( chPlaw, " Constant  Pressure " );
        }

        else if( strcmp(dense.chDenseLaw,"CDEN") == 0 )
        {
                strcpy( chPlaw, "  Constant  Density " );
        }

        else if( (strcmp(dense.chDenseLaw,"POWD") == 0 || strcmp(dense.chDenseLaw
          ,"POWR") == 0) || strcmp(dense.chDenseLaw,"POWC") == 0 )
        {
                strcpy( chPlaw, "  Power Law Density " );
        }

        else if( strcmp(dense.chDenseLaw,"SINE") == 0 )
        {
                strcpy( chPlaw, " Rapid Fluctuations " );
        }

        else if( strncmp(dense.chDenseLaw , "DLW" , 3) == 0 )
        {
                strcpy( chPlaw, " Special Density Lw " );
        }

        else if( strcmp(dense.chDenseLaw,"HYDR") == 0 )
        {
                strcpy( chPlaw, " Hydrostatic Equlib " );
        }

        else if( strcmp(dense.chDenseLaw,"WIND") == 0 )
        {
                strcpy( chPlaw, "  Radia Driven Wind " );
        }

        else if( strcmp(dense.chDenseLaw,"DYNA") == 0 )
        {
                strcpy( chPlaw, "  Dynamical Flow    " );
        }

        else if( strcmp(dense.chDenseLaw,"GLOB") == 0 )
        {
                strcpy( chPlaw, " Globule            " );
        }

        else
        {
                strcpy( chPlaw, " UNRECOGNIZED CPRES " );
        }

        fprintf( ioQQQ, 
                "\n                     Emission Line Spectrum. %20.20sModel.  %6.6s geometry.  Iteration %ld of %ld.\n", 
          chPlaw, chGeo, iteration, iterations.itermx + 1 );

        /* emission lines as logs of total luminosity */
        if(  radius.distance > 0. && radius.lgRadiusKnown && prt.lgPrintFluxEarth )
        {
                char chLine[INPUT_LINE_LENGTH];
                if( geometry.iEmissPower == 1 && !geometry.lgSizeSet )
                        chUnit = "/arcsec";
                else if( geometry.iEmissPower == 0 && !geometry.lgSizeSet )
                        chUnit = "/arcsec^2";
                else
                        chUnit = "";

                sprintf( chLine, "Flux observed at the Earth (erg/s/cm^2%s).", chUnit );
                PrintCenterLine( ioQQQ, chLine, sizeof(chLine), 130 );
        }
        else if(  prt.lgSurfaceBrightness )
        {
                char chLine[INPUT_LINE_LENGTH];
                if( prt.lgSurfaceBrightness_SR )
                        chUnit = "sr";
                else
                        chUnit = "arcsec^2";

                sprintf( chLine, "Surface brightness (erg/s/cm^2/%s).", chUnit );
                PrintCenterLine( ioQQQ, chLine, sizeof(chLine), 130 );
        }
        else if( radius.lgPredLumin )
        {
                char chLine[INPUT_LINE_LENGTH];
                if( geometry.iEmissPower == 2 )
                        chUnit = "erg/s";
                else if( geometry.iEmissPower == 1 )
                        chUnit = "erg/s/cm";
                else if( geometry.iEmissPower == 0 )
                        chUnit = "erg/s/cm^2";
                else
                        TotalInsanity();

                char chCoverage[INPUT_LINE_LENGTH/2];
                if( fp_equal( geometry.covgeo, realnum(1.) ) )
                        sprintf( chCoverage, "with full coverage" );
                else
                        sprintf( chCoverage, "with a covering factor of %.1f%%", geometry.covgeo*100. );

                if( radius.lgCylnOn )
                        sprintf( chLine, "Luminosity (%s) emitted by a partial cylinder %s.", chUnit, chCoverage );
                else
                        sprintf( chLine, "Luminosity (%s) emitted by a shell %s.", chUnit, chCoverage );
                PrintCenterLine( ioQQQ, chLine, sizeof(chLine), 130 );

                if( geometry.iEmissPower != 2 )
                {
                        const char* chAper;
                        if( geometry.iEmissPower == 1 )
                                chAper = "long slit";
                        else if( geometry.iEmissPower == 0 )
                                chAper = "pencil beam";
                        else
                                TotalInsanity();

                        sprintf( chLine, "Observed through a %s with aperture covering factor %.1f%%.",
                                 chAper, geometry.covaper*100. );
                        PrintCenterLine( ioQQQ, chLine, sizeof(chLine), 130 );
                }
        }
        else
        {
                char chLine[INPUT_LINE_LENGTH];
                sprintf( chLine, "Intensity (erg/s/cm^2)." );
                PrintCenterLine( ioQQQ, chLine, sizeof(chLine), 130 );
        }

        fprintf( ioQQQ, "\n" );

        /******************************************************************
         * kill Hummer & Storey case b predictions if outside their table *
         ******************************************************************/

        /* >>chng 02 aug 29, from lgHCaseBOK to following - caught by Ryan Porter */
        if( !atmdat.lgHCaseBOK[1][ipHYDROGEN] )
        {
                static const int NWLH = 21;
                /* list of all H case b lines */
                realnum wlh[NWLH] = { 6562.81e0f, 4861.33e0f, 4340.46e0f, 4101.73e0f, 1.87510e4f, 1.28180e4f,
                                                  1.09380e4f, 1.00493e4f, 2.62513e4f, 2.16551e4f, 1.94454e4f, 7.45777e4f,
                                                  4.65247e4f, 3.73951e4f, 4.05113e4f, 7.45777e4f, 3.29607e4f, 1215.67e0f,
                                                  1025.72e0f, 972.537e0f, 949.743e0f };

                /* table exceeded - kill all H case b predictions*/
                for( i=0; i < LineSave.nsum; i++ )
                {
                        /* >>chng 04 jun 21, kill both case a and b at same time,
                         * actually lgHCaseBOK has separate A and B flags, but
                         * this is simpler */
                        if( LineSave.lines[i].isCaseB() || 
                                 LineSave.lines[i].isCaseA() )
                        {
                                realnum errorwave;
                                /* this logic must be kept parallel with which H lines are
                                 * added as case B in lines_hydro - any automatic hosing of
                                 * case b would kill both H I and He II */
                                errorwave = WavlenErrorGet( LineSave.lines[i].wavelength(), LineSave.sig_figs );
                                for( j=0; j<NWLH; ++j )
                                {
                                        if( fabs(LineSave.lines[i].wavelength()-wlh[j] ) <= errorwave )
                                        {
                                                LineSave.lines[i].SumLineZero();
                                                break;
                                        }
                                }
                        }
                }
        }

        if( !atmdat.lgHCaseBOK[1][ipHELIUM] )
        {
                /* table exceeded - kill all He case b predictions*/
                static const int NWLHE = 20;
                realnum wlhe[NWLHE] = {1640.43e0f, 1215.13e0f, 1084.94e0f, 1025.27e0f, 4685.64e0f, 3203.04e0f,
                                                 2733.24e0f, 2511.15e0f, 1.01233e4f, 6559.91e0f, 5411.37e0f, 4859.18e0f,
                                                 1.86362e4f, 1.16260e4f, 9344.62, 8236.51e0f, 303.784e0f, 256.317e0f,
                                                 243.027e0f, 237.331e0f};
                for( i=0; i < LineSave.nsum; i++ )
                {
                        if( LineSave.lines[i].isCaseB() || 
                                 LineSave.lines[i].isCaseA() )
                        {
                                realnum errorwave;
                                /* this logic must be kept parallel with which H lines are
                                 * added as case B in lines_hydro - any automatic hosing of
                                 * case b would kill both H I and He II */
                                errorwave = WavlenErrorGet( LineSave.lines[i].wavelength(), LineSave.sig_figs );
                                for( j=0; j<NWLHE; ++j )
                                {
                                        if( fabs(LineSave.lines[i].wavelength()-wlhe[j] ) <= errorwave )
                                        {
                                                LineSave.lines[i].SumLineZero();
                                                break;
                                        }
                                }
                        }
                }
        }

        /**********************************************************
         *analyse line arrays for abundances, temp, etc           *
         **********************************************************/

        /* find apparent helium abundance, will not find these if helium is turned off */

        if( cdLine("H  1",wlAirVac(4861.33),&hbeta,&absint)<=0 )
        {
                if( dense.lgElmtOn[ipHYDROGEN] )
                {
                        /* this is a major logical error if hydrogen is turned on */
                        fprintf( ioQQQ, " PrtFinal could not find H  1 4861.33 with cdLine.\n" );
                        cdEXIT(EXIT_FAILURE);
                }
                else
                {
                        hbeta = 0;
                        absint = -37.;
                }
        }

        if( dense.lgElmtOn[ipHELIUM] )
        {
                /* get HeI 5876 */
                /* >>chng 06 may 15, changed this so that it works for up to six sig figs. */
                if( cdLine("He 1",wlAirVac(5875.64),&he5876,&absint)<=0 )
                {
                        /* 06 aug 28, from numLevels_max to _local. */
                        if( iso_sp[ipHE_LIKE][ipHELIUM].numLevels_local >= 14 )
                        {
                                /* this is a major logical error if helium is turned on */
                                fprintf( ioQQQ, " PrtFinal could not find He 1 5876 with cdLine.\n" );
                                cdEXIT(EXIT_FAILURE);
                        }
                }

                /* get HeII 4686 */
                /* >>chng 06 may 15, changed this so that it works for up to six sig figs. */
                if( cdLine("He 2",wlAirVac(4685.64),&he4686,&absint)<=0 )
                {
                        /* 06 aug 28, from numLevels_max to _local. */
                        if( iso_sp[ipH_LIKE][ipHELIUM].numLevels_local > 5 )
                        {
                                /* this is a major logical error if helium is turned on 
                                 * and the model atom has enough levels */
                                fprintf( ioQQQ, " PrtFinal could not find He 2 4686 with cdLine.\n" );
                                cdEXIT(EXIT_FAILURE);
                        }
                }
        }
        else
        {
                he5876 = 0.;
                absint = 0.;
                he4686 = 0.;
        }

        if( hbeta > 0. )
        {
                heabun = (he4686*0.078 + he5876*0.739)/hbeta;
        }
        else
        {
                heabun = 0.;
        }

        if( dense.lgElmtOn[ipHELIUM] )
        {
                hescal = heabun/(dense.gas_phase[ipHELIUM]/dense.gas_phase[ipHYDROGEN]);
        }
        else
        {
                hescal = 0.;
        }

        /* get temperature from [OIII] spectrum, o may be turned off,
         * but lines still dumped into stack */
        if( atmdat.lgdBaseSourceExists[ipOXYGEN][2] )
        {

                if( cdLine("blnd",5007,&o5007,&absint)<=0 )
                {
                        if( dense.lgElmtOn[ipOXYGEN] )
                        {
                                /* this is a major logical error if hydrogen is turned on */
                                fprintf( ioQQQ, " PrtFinal could not find O  3 5007 with cdLine.\n" );
                                cdEXIT(EXIT_FAILURE);
                        }
                }

                if( cdLine("blnd",4363,&o4363,&absint)<=0 )
                {
                        if( dense.lgElmtOn[ipOXYGEN] )
                        {
                                /* this is a major logical error if hydrogen is turned on */
                                fprintf( ioQQQ, " PrtFinal could not find H  1 4363 with cdLine.\n" );
                                cdEXIT(EXIT_FAILURE);
                        }
                }

                // Energy ratio of O3 lines -- better to get this from transition structures
                realnum o3enro = (realnum)(4.56e-12/3.98e-12);
                /* first find low density limit OIII zone temp */
                if( (o4363 != 0.) && (o5007 != 0.) )
                {
                        /* following will assume coll excitation only, so correct
                         * for 4363's that cascade as 5007 */
                        bot = o5007 - o4363/o3enro;

                        if( bot > 0. )
                        {
                                ratio = o4363/bot;
                        }
                        else
                        {
                                ratio = 0.178;
                        }

                        if( ratio > 0.177 )
                        {
                                /* ratio was above infinite temperature limit */
                                peimbt.toiiir = 1e10;
                        }
                        else
                        {
                                /* o iii 5007+4959, As 96 NIST */
                                /*The cs of the transitions 3P0,1,2 to 1D2 are added together to give oiii_cs3P1D2 */
                                /*the cs of the transition 1D2-1S0 is mentioned as oiii_cs1D21S0*/
                                /*The cs of the transitions 3P0,1,2 to 1S0 are added together to give oiii_cs3P1S0*/
                                realnum o3cs12 = 2.2347f;
                                realnum o3cs13 = 0.29811f;
                                double a31 = 0.2262;
                                double a32 = 1.685;
                                realnum o3ex23 = 32947.;
                                realnum o3br32 = (realnum)(a32/(a31 + a32));

                                /* data for following set in OIII cooling routine
                                 * ratio of collision strengths, factor of 4/3 makes 5007+4959
                                 * >>chng 96 sep 07, reset cs to values at 10^4K,
                                 * had been last temp in model */
                                /*>>chng 06 jul 25, update to recent data */
                                ratio = ratio/1.3333/(o3cs13/o3cs12);
                                /* ratio of energies and branching ratio for 4363 */
                                ratio = ratio/o3enro/o3br32;
                                peimbt.toiiir = (realnum)(-o3ex23/log(ratio));
                        }
                }
                else
                {
                        peimbt.toiiir = 0.;
                }
        }

        if( geometry.iEmissPower == 2 )
        {
                /* find temperature from Balmer continuum */
                if( cdLine("Bac ",3646.,&bacobs,&absint)<=0 )
                {
                        fprintf( ioQQQ, " PrtFinal could not find Bac 3646 with cdLine.\n" );
                        cdEXIT(EXIT_FAILURE);
                }

                /* we pulled hbeta out of stack with cdLine above */
                if( hbeta > 0. )
                {
                        bac = bacobs/hbeta;
                }
                else
                {
                        bac = 0.;
                }
        }
        else
        {
                bac = 0.;
        }

        if( bac > 0. )
        {
                /*----------------------------------------------------------*
                 ***** TableCurve c:\tcwin2\balcon.for Sep 6, 1994 11:13:38 AM
                 ***** log bal/Hbet
                 ***** X= log temp
                 ***** Y= 
                 ***** Eqn# 6503  y=a+b/x+c/x^2+d/x^3+e/x^4+f/x^5
                 ***** r2=0.9999987190883581
                 ***** r2adj=0.9999910336185065
                 ***** StdErr=0.001705886369042427
                 ***** Fval=312277.1895753243
                 ***** a= -4.82796940090671
                 ***** b= 33.08493347410885
                 ***** c= -56.08886262205931
                 ***** d= 52.44759454803217
                 ***** e= -25.07958990094209
                 ***** f= 4.815046760060006
                 *----------------------------------------------------------*
                 * bac is double precision!!!! */
                x = 1.e0/log10(bac);
                tel = -4.827969400906710 + x*(33.08493347410885 + x*(-56.08886262205931 + 
                  x*(52.44759454803217 + x*(-25.07958990094209 + x*(4.815046760060006)))));

                if( tel > 1. && tel < 5. )
                {
                        peimbt.tbac = (realnum)exp10(tel);
                }
                else
                {
                        peimbt.tbac = 0.;
                }
        }
        else
        {
                peimbt.tbac = 0.;
        }

        if( geometry.iEmissPower == 2 )
        {
                /* find temperature from optically thin Balmer continuum and case B H-beta */
                if( cdLine("thin",3646.,&bacthn,&absint)<=0 )
                {
                        fprintf( ioQQQ, " PrtFinal could not find thin 3646 with cdLine.\n" );
                        cdEXIT(EXIT_FAILURE);
                }

                /* >>chng 06 may 15, changed this so that it works for up to six sig figs. */
                if( cdLine("Ca B",wlAirVac(4861.33),&hbcab,&absint)<=0 )
                {
                        fprintf( ioQQQ, " PrtFinal could not find Ca B 4861.33 with cdLine.\n" );
                        cdEXIT(EXIT_FAILURE);
                }

                if( hbcab > 0. )
                {
                        bacthn /= hbcab;
                }
                else
                {
                        bacthn = 0.;
                }
        }
        else
        {
                bacthn = 0.;
        }

        if( bacthn > 0. )
        {
                /*----------------------------------------------------------*
                 ***** TableCurve c:\tcwin2\balcon.for Sep 6, 1994 11:13:38 AM
                 ***** log bal/Hbet
                 ***** X= log temp
                 ***** Y= 
                 ***** Eqn# 6503  y=a+b/x+c/x^2+d/x^3+e/x^4+f/x^5
                 ***** r2=0.9999987190883581
                 ***** r2adj=0.9999910336185065
                 ***** StdErr=0.001705886369042427
                 ***** Fval=312277.1895753243
                 ***** a= -4.82796940090671
                 ***** b= 33.08493347410885
                 ***** c= -56.08886262205931
                 ***** d= 52.44759454803217
                 ***** e= -25.07958990094209
                 ***** f= 4.815046760060006
                 *----------------------------------------------------------*
                 * bac is double precision!!!! */
                x = 1.e0/log10(bacthn);
                tel = -4.827969400906710 + x*(33.08493347410885 + x*(-56.08886262205931 + 
                  x*(52.44759454803217 + x*(-25.07958990094209 + x*(4.815046760060006)))));

                if( tel > 1. && tel < 5. )
                {
                        peimbt.tbcthn = (realnum)exp10(tel);
                }
                else
                {
                        peimbt.tbcthn = 0.;
                }
        }
        else
        {
                peimbt.tbcthn = 0.;
        }

        /* we now have temps from OIII ratio and BAC ratio, now
         * do Peimbert analysis, getting To and t^2 */

        peimbt.tohyox = (realnum)((8.5*peimbt.toiiir - 7.5*peimbt.tbcthn - 228200. + 
          sqrt(POW2(8.5*peimbt.toiiir-7.5*peimbt.tbcthn-228200.)+9.128e5*
          peimbt.tbcthn))/2.);

        if( peimbt.tohyox > 0. )
        {
                peimbt.t2hyox = (realnum)((peimbt.tohyox - peimbt.tbcthn)/(1.7*peimbt.tohyox));
        }
        else
        {
                peimbt.t2hyox = 0.;
        }

        if( prt.lgPrintBlock )
                PrintSpectrum();

        // don't print this text twice...
        if( !prt.lgPrtCitations )
        {
                fprintf( ioQQQ, "\n" );
                DatabasePrintReference();
        }

        /* print out ionization parameters and radiation making it through */
        qlow = 0.;
        plow = 0.;
        for( i=0; i < (iso_sp[ipH_LIKE][ipHYDROGEN].fb[ipH1s].ipIsoLevNIonCon - 1); i++ )
        {
                /* N.B. in following en1ryd prevents overflow */
                plow += (rfield.flux[0][i] + rfield.ConInterOut[i]+ rfield.outlin[0][i] + rfield.outlin_noplot[i])*
                  EN1RYD*rfield.anu(i);
                qlow += rfield.flux[0][i] + rfield.ConInterOut[i]+ rfield.outlin[0][i] + rfield.outlin_noplot[i];
        }

        qlow *= radius.r1r0sq;
        plow *= radius.r1r0sq;
        if( plow > 0. )
        {
                qlow = log10(qlow * radius.Conv2PrtInten);
                plow = log10(plow * radius.Conv2PrtInten);
        }
        else
        {
                qlow = 0.;
                plow = 0.;
        }

        qion = 0.;
        pion = 0.;
        for( i=iso_sp[ipH_LIKE][ipHYDROGEN].fb[ipH1s].ipIsoLevNIonCon-1; i < rfield.nflux; i++ )
        {
                /* N.B. in following en1ryd prevents overflow */
                pion += (rfield.flux[0][i] + rfield.ConInterOut[i]+ rfield.outlin[0][i] + rfield.outlin_noplot[i])*
                  EN1RYD*rfield.anu(i);
                qion += rfield.flux[0][i] + rfield.ConInterOut[i]+ rfield.outlin[0][i] + rfield.outlin_noplot[i];
        }

        qion *= radius.r1r0sq;
        pion *= radius.r1r0sq;

        if( pion > 0. )
        {
                qion = log10(qion * radius.Conv2PrtInten);
                pion = log10(pion * radius.Conv2PrtInten);
        }
        else
        {
                qion = 0.;
                pion = 0.;
        }

        /* derive ionization parameter for spherical geometry */
        if( rfield.qhtot > 0. )
        {
                if( rfield.lgUSphON )
                {
                        /* RSTROM is stromgren radius */
                        usp = rfield.qhtot/POW2(rfield.rstrom/radius.rinner)/
                          2.998e10/dense.gas_phase[ipHYDROGEN];
                        usp = log10(usp);
                }
                else
                {
                        /* no stromgren radius found, use outer radius */
                        usp = rfield.qhtot/radius.r1r0sq/2.998e10/dense.gas_phase[ipHYDROGEN];
                        usp = log10(usp);
                }
        }

        else
        {
                usp = -37.;
        }

        if( rfield.uh > 0. )
        {
                uhl = log10(rfield.uh);
        }
        else
        {
                uhl = -37.;
        }

        if( rfield.uheii > 0. )
        {
                uhel = log10(rfield.uheii);
        }
        else
        {
                uhel = -37.;
        }

        fprintf( ioQQQ, 
                "\n IONIZE PARMET:  U(1-)%8.4f  U(4-):%8.4f  U(sp):%6.2f  "
                "Q(ion):  %7.3f  L(ion)%7.3f    Q(low):%7.3f    L(low)%7.3f\n", 
          uhl, uhel, usp, qion, pion, qlow, plow );

        a = safe_div(fabs((thermal.power-thermal.totcol)*100.),thermal.power,0.0);
        /* output power and total cooling; can be neg for shocks, collisional ioniz */
        if( thermal.power > 0. )
        {
                powerl = log10(thermal.power * radius.Conv2PrtInten);
        }
        else
        {
                powerl = 0.;
        }

        if( thermal.totcol > 0. )
        {
                thermal.totcol = log10(thermal.totcol * radius.Conv2PrtInten);
        }
        else
        {
                thermal.totcol = 0.;
        }

        if( thermal.FreeFreeTotHeat > 0. )
        {
                thermal.FreeFreeTotHeat = log10(thermal.FreeFreeTotHeat * radius.Conv2PrtInten);
        }
        else
        {
                thermal.FreeFreeTotHeat = 0.;
        }

        /* following is recombination line intensity */
        reclin = totlin('r');
        if( reclin > 0. )
        {
                reclin = log10(reclin * radius.Conv2PrtInten);
        }
        else
        {
                reclin = 0.;
        }

        fprintf( ioQQQ, 
                " ENERGY BUDGET:  Heat:%8.3f  Coolg:%8.3f  Error:%5.1f%%  Rec Lin:%8.3f  F-F  H%7.3f    P(rad/tot)max     ", 
          powerl, 
          thermal.totcol, 
          a, 
          reclin, 
          thermal.FreeFreeTotHeat );
        PrintE82( ioQQQ, pressure.RadBetaMax );
        // resolving power in fine continuum for this run
        fprintf(ioQQQ,"    R(F Con):%.3e",
                        SPEEDLIGHT / rfield.fine_opac_velocity_width );

        fprintf( ioQQQ, "\n");

        /* effective x-ray column density, from 0.5keV attenuation, no scat
         * IPXRY is pointer to 73.5 Ryd */
        coleff = opac.TauAbsGeo[0][rt.ipxry-1] - rt.tauxry;
        coleff /= 2.14e-22;

        /* find t^2 from H II structure */
        gett2(&peimbt.t2hstr);

        /* find t^2 from OIII structure */
        gett2o3(&peimbt.t2o3str);

        fprintf( ioQQQ, "\n     Col(Heff):      ");
        PrintE93(ioQQQ, coleff);
        fprintf( ioQQQ, "  snd travl time  ");
        PrintE82(ioQQQ, timesc.sound);
        fprintf( ioQQQ, " sec  Te-low: ");
        PrintE82(ioQQQ, thermal.tlowst);
        fprintf( ioQQQ, "  Te-hi: ");
        PrintE82(ioQQQ, thermal.thist);

        /* this is the intensity of the UV continuum at the illuminated face, relative to the Habing value, as
         * defined by Tielens & Hollenbach 1985 */
        fprintf( ioQQQ, "  G0TH85: ");
        PrintE82( ioQQQ, hmi.UV_Cont_rel2_Habing_TH85_face );
        /* this is the intensity of the UV continuum at the illuminated face, relative to the Habing value, as
         * defined by Draine & Bertoldi 1985 */
        fprintf( ioQQQ, "  G0DB96:");
        PrintE82( ioQQQ, hmi.UV_Cont_rel2_Draine_DB96_face );

        fprintf( ioQQQ, "\n");

        fprintf( ioQQQ, "  Emiss Measure    n(e)n(p) dl       ");
        PrintE93(ioQQQ, colden.dlnenp);
        fprintf( ioQQQ, "  n(e)n(He+)dl         ");
        PrintE93(ioQQQ, colden.dlnenHep);
        fprintf( ioQQQ, "  En(e)n(He++) dl         ");
        PrintE93(ioQQQ, colden.dlnenHepp);
        fprintf( ioQQQ, "  ne nC+:");
        PrintE82(ioQQQ, colden.dlnenCp);
        fprintf( ioQQQ, "\n");

        /* following is wl where gas goes thick to bremsstrahlung, in cm */
        if( rfield.EnergyBremsThin > 0. )
        {
                bremtk = RYDLAM*1e-8/rfield.EnergyBremsThin;
        }
        else
        {
                bremtk = 1e30;
        }

        /* apparent helium abundance */
        fprintf( ioQQQ, " He/Ha:");
        PrintE82( ioQQQ, heabun);

        /* he/h relative to correct helium abundance */
        fprintf(ioQQQ, "  =%7.2f*true  Lthin:",hescal);

        /* wavelength were structure is optically thick to bremsstrahlung absorption */
        PrintE82( ioQQQ, bremtk);

        /* this is ratio of conv.nTotalIoniz, the number of times ConvBase 
         * was called during the model, over the number of zones.
         * This is a measure of the convergence of the model - 
         * includes initial search so worse for short calculations.
         * It is a measure of how hard the model was to converge */
        if( nzone > 0 )
        {
                /* >>chng 07 feb 23, subtract n calls to do initial solution
                 * so this is the number of calls needed to converge the zones.
                 * different is to discount careful approach to molecular solutions
                 * in one zone models */
                znit = (double)(conv.nTotalIoniz-conv.nTotalIoniz_start)/(double)(nzone);
        }
        else
        {
                znit = 0.;
        }
        /* >>chng 02 jan 09, format from 5.3f to 5.2f */
        fprintf(ioQQQ, "  itr/zn:%5.2f",znit);

        /* sort-of same thing for large H2 molecule - number is number of level pop solutions per zone */
        fprintf(ioQQQ, "  H2 itr/zn:%6.2f",h2.H2_itrzn());

        /* say whether we used stored opacities (T) or derived them from scratch (F) */
        fprintf(ioQQQ, "  File Opacity: F" );

        /* log of total mass in grams if spherical, or gm/cm2 if plane parallel */
        /* this is mass per unit inner area */
        double xmass;
        // if spherical change to total mass, if pp leave gm/cm2
        if( radius.pirsq > 0. )
        {
                chUnit = "(gm)";
                xmass = dense.xMassTotal * exp10( (double)radius.pirsq ) ;
        }
        else
        {
                chUnit = "(gm/cm^2)";
                xmass = dense.xMassTotal;
        }
        fprintf(ioQQQ,"  MassTot %.2e  %s", xmass, chUnit );
        fprintf(ioQQQ,"\n");

        /* this block is a series of prints dealing with 21 cm quantities
         * first this is the temperature derived from Lya - 21 cm optical depths
         * get harmonic mean HI temperature, as needed for 21 cm spin temperature */
        if( cdTemp( "opti",0,&THI,"volume" ) )
        {
                fprintf(ioQQQ,"\n>>>>>>>>>>>>>>>>> PrtFinal, impossible problem getting 21cm opt.\n");
                TotalInsanity();
        }
        fprintf( ioQQQ, "   Temps(21 cm)   T(21cm/Ly a)  ");
        PrintE82(ioQQQ, THI );

        /* get harmonic mean HI gas kin temperature, as needed for 21 cm spin temperature 
         * >>chng 06 jul 21, this was over volume but hazy said radius - change to radius,
         * bug discovered by Eric Pellegrini & Jack Baldwin  */
        /*if( cdTemp( "21cm",0,&THI,"volume" ) )*/
        if( cdTemp( "21cm",0,&THI,"radius" ) )
        {
                fprintf(ioQQQ,"\n>>>>>>>>>>>>>>>>> PrtFinal, impossible problem getting 21cm temp.\n");
                TotalInsanity();
        }
        fprintf(ioQQQ, "        T(<nH/Tkin>)  ");
        PrintE82(ioQQQ, THI);

        /* get harmonic mean HI 21 21 spin temperature, as needed for 21 cm spin temperature 
         * for this, always weighted by radius, volume would be ignored were it present */
        if( cdTemp( "spin",0,&THI,"radius" ) )
        {
                fprintf(ioQQQ,"\n>>>>>>>>>>>>>>>>> PrtFinal, impossible problem getting 21cm spin.\n");
                TotalInsanity();
        }
        fprintf(ioQQQ, "          T(<nH/Tspin>)    ");
        PrintE82(ioQQQ, THI);

        /* now convert this HI spin temperature into a brightness temperature */
        THI *= (1. - sexp( HFLines[0].Emis().TauIn() ) );
        fprintf( ioQQQ, "          TB21cm:");
        PrintE82(ioQQQ, THI);
        fprintf( ioQQQ, "\n");

        fprintf( ioQQQ, "                   N(H0/Tspin)  ");
        PrintE82(ioQQQ, colden.H0_ov_Tspin );
        fprintf( ioQQQ, "        N(OH/Tkin)    ");
        PrintE82(ioQQQ, colden.OH_ov_Tspin );

        /* mean B weighted wrt 21 cm absorption */
        bot = cdB21cm();
        fprintf( ioQQQ, "          B(21cm)          ");
        PrintE82(ioQQQ, bot );

        /* end prints for 21 cm */
        fprintf(ioQQQ, "\n");

        /* timescale (sec here) for photoerosion of Fe-Ni */
        rate = timesc.TimeErode*2e-26;
        if( rate > SMALLFLOAT )
        {
                ferode = 1./rate;
        }
        else
        {
                ferode = 0.;
        }

        /* mean acceleration */
        if( wind.acldr > 0. )
        {
                wind.AccelAver /= wind.acldr;
        }
        else
        {
                wind.AccelAver = 0.;
        }

        /* DMEAN is mean density (gm per cc); mean temp is weighted by mass density */
        /* >>chng 02 aug 21, from radius.depth_x_fillfac to integral of radius times fillfac */
        dmean = colden.TotMassColl/SDIV(radius.depth_x_fillfac);
        tmean = colden.tmas/SDIV(colden.TotMassColl);
        /* mean mass per particle */
        wmean = colden.wmas/SDIV(colden.TotMassColl);

        fprintf( ioQQQ, "   <a>:");
        PrintE82(ioQQQ , wind.AccelAver);
        fprintf( ioQQQ, "  erdeFe");
        PrintE71(ioQQQ , ferode);
        fprintf( ioQQQ, "  Tcompt");
        PrintE82(ioQQQ , timesc.tcmptn);
        fprintf( ioQQQ, "  Tthr");
        PrintE82(ioQQQ , timesc.time_therm_long);
        fprintf( ioQQQ, "  <Tden>: ");
        PrintE82(ioQQQ , tmean);
        fprintf( ioQQQ, "  <dens>:");
        PrintE82(ioQQQ , dmean);
        fprintf( ioQQQ, "  <MolWgt>");
        PrintE82(ioQQQ , wmean);
        fprintf(ioQQQ,"\n");

        /* log of Jeans length and mass - this is mean over model */
        if( tmean > 0. )
        {
                rjeans = (log10(JEANS)+log10(tmean) - log10(dense.wmole) - log10(dense.xMassDensity*
                        geometry.FillFac))/2.;
        }
        else
        {
                /* tmean undefined, set rjeans to large value so 0 printed below */
                rjeans = 40.f;
        }

        if( rjeans < 36. )
        {
                rjeans = exp10(rjeans);
                /* AJMASS is Jeans mass in solar units */
                ajmass = 3.*log10(rjeans/2.) + log10(4.*PI/3.*dense.xMassDensity*
                  geometry.FillFac) - log10(SOLAR_MASS);
                if( ajmass < 37 )
                {
                        ajmass = exp10(ajmass);
                }
                else
                {
                        ajmass = 0.;
                }
        }
        else
        {
                rjeans = 0.;
                ajmass = 0.;
        }

        /* Jeans length and mass - this is smallest over model */
        ajmin = colden.ajmmin - log10(SOLAR_MASS);
        if( ajmin < 37 )
        {
                ajmin = exp10(ajmin);
        }
        else
        {
                ajmin = 0.;
        }

        /* estimate alpha (o-x) */
        if( rfield.anu(rfield.nflux-1) > 150. )
        {
                /* generate pointers to energies where alpha ox will be evaluated */
                ip2kev = ipoint(147.);
                ip2500 = ipoint(0.3648);

                /* now get fluxes there */
                bottom = rfield.flux[0][ip2500-1]*
                  rfield.anu(ip2500-1)/rfield.widflx(ip2500-1);

                top = rfield.flux[0][ip2kev-1]*
                  rfield.anu(ip2kev-1)/rfield.widflx(ip2kev-1);

                /* generate alpha ox if denominator is non-zero */
                if( bottom > 1e-30 && top > 1e-30 )
                {
                        ratio = log10(top) - log10(bottom);
                        if( ratio < 36. && ratio > -36. )
                        {
                                ratio = exp10(ratio);
                        }
                        else
                        {
                                ratio = 0.;
                        }
                }

                else
                {
                        ratio = 0.;
                }

                if( ratio > 0. )
                {
                        // the separate variable freq_ratio is needed to work around a bug in icc 10.0
                        double freq_ratio = rfield.anu(ip2kev-1)/rfield.anu(ip2500-1);
                        alfox = log(ratio)/log(freq_ratio);
                }
                else
                {
                        alfox = 0.;
                }
        }
        else
        {
                alfox = 0.;
        }

        if( colden.rjnmin < 37 )
        {
                colden.rjnmin = exp10(colden.rjnmin);
        }
        else
        {
                colden.rjnmin = FLT_MAX;
        }

        fprintf( ioQQQ, "     Mean Jeans  l(cm)");
        PrintE82(ioQQQ, rjeans);
        fprintf( ioQQQ, "  M(sun)");
        PrintE82(ioQQQ, ajmass);
        fprintf( ioQQQ, "  smallest:     len(cm):");
        PrintE82(ioQQQ, colden.rjnmin);
        fprintf( ioQQQ, "  M(sun):");
        PrintE82(ioQQQ, ajmin);
        fprintf( ioQQQ, "  a_ox tran:%6.2f\n" , alfox);

        fprintf( ioQQQ, " Rion:");
        double R_ion;
        if( rfield.lgUSphON )
                R_ion = rfield.rstrom;
        else
                R_ion = radius.Radius;
        PrintE93(ioQQQ, R_ion);
        fprintf( ioQQQ, "  Dist:");
        PrintE82(ioQQQ, radius.distance);
        fprintf( ioQQQ, "  Diam:");
        if( radius.distance > 0. )
                PrintE93(ioQQQ, 2.*R_ion*AS1RAD/radius.distance);
        else
                PrintE93(ioQQQ, 0.);
        fprintf( ioQQQ, "\n");

        if( prt.lgPrintTime )
        {
                /* print execution time by default */
                alfox = cdExecTime();
        }
        else
        {
                /* flag set false with no time command, so that different runs can
                 * compare exactly */
                alfox = 0.;
        }

        /* some details about the hydrogen and helium ions */
        fprintf( ioQQQ, 
                " Hatom level%3ld  HatomType:%4.4s  HInducImp %2c"
                "  He tot level:%3ld  He2 level:  %3ld  ExecTime%8.1f\n", 
                /* 06 aug 28, from numLevels_max to _local. */
          iso_sp[ipH_LIKE][ipHYDROGEN].numLevels_local, 
          hydro.chHTopType, 
          TorF(hydro.lgHInducImp), 
          /* 06 aug 28, from numLevels_max to _local. */
          iso_sp[ipHE_LIKE][ipHELIUM].numLevels_local,
          /* 06 aug 28, from numLevels_max to _local. */
          iso_sp[ipH_LIKE][ipHELIUM].numLevels_local , 
          alfox );

        /* now give an indication of the convergence error budget */
        fprintf( ioQQQ, 
                " ConvrgError(%%)  <eden>%7.3f  MaxEden%7.3f  <H-C>%7.2f  Max(H-C)%8.2f  <Press>%8.3f  MaxPrs er%7.3f\n", 
                conv.AverEdenError/nzone*100. , 
                conv.BigEdenError*100. ,
                conv.AverHeatCoolError/nzone*100. , 
                conv.BigHeatCoolError*100. ,
                conv.AverPressError/nzone*100. , 
                conv.BigPressError*100. );

        fprintf(ioQQQ,
                "  Continuity(%%)  chng Te%6.1f  elec den%6.1f  n(H2)%7.1f  n(CO)    %7.1f\n",
                phycon.BigJumpTe*100. ,
                phycon.BigJumpne*100. ,
                phycon.BigJumpH2*100. ,
                phycon.BigJumpCO*100. );

        /* print out some average quantities */
        fprintf( ioQQQ, "\n                                                        Averaged Quantities\n" );
        fprintf( ioQQQ, "             Te      Te(Ne)   Te(NeNp)  Te(NeHe+)Te(NeHe2+) Te(NeO+)  Te(NeO2+)"
                 "  Te(H2)     N(H)     Ne(O2+)   Ne(Np)\n" );
        static const char* weight[3] = { "Radius", "Area", "Volume" };
        int dmax = geometry.lgGeoPP ? 1 : 3;
        for( int dim=0; dim < dmax; ++dim )
        {
                fprintf( ioQQQ, " %6s:", weight[dim] );
                // <Te>/<1>
                PrintRatio( mean.TempMean[dim][0], mean.TempMean[dim][1] );
                // <Te*ne>/<ne>
                PrintRatio( mean.TempEdenMean[dim][0], mean.TempEdenMean[dim][1] );
                // <Te*ne*nion>/<ne*nion>
                PrintRatio( mean.TempIonEdenMean[dim][ipHYDROGEN][1][0], mean.TempIonEdenMean[dim][ipHYDROGEN][1][1] );
                PrintRatio( mean.TempIonEdenMean[dim][ipHELIUM][1][0], mean.TempIonEdenMean[dim][ipHELIUM][1][1] );
                PrintRatio( mean.TempIonEdenMean[dim][ipHELIUM][2][0], mean.TempIonEdenMean[dim][ipHELIUM][2][1] );
                PrintRatio( mean.TempIonEdenMean[dim][ipOXYGEN][1][0], mean.TempIonEdenMean[dim][ipOXYGEN][1][1] );
                PrintRatio( mean.TempIonEdenMean[dim][ipOXYGEN][2][0], mean.TempIonEdenMean[dim][ipOXYGEN][2][1] );
                // <Te*nH2>/<nH2>
                PrintRatio( mean.TempIonMean[dim][ipHYDROGEN][2][0], mean.TempIonMean[dim][ipHYDROGEN][2][1] );
                // <nH>/<1>
                PrintRatio( mean.xIonMean[dim][ipHYDROGEN][0][1], mean.TempMean[dim][1] );
                // <ne*nion>/<nion>
                PrintRatio( mean.TempIonEdenMean[dim][ipOXYGEN][2][1], mean.TempIonMean[dim][ipOXYGEN][2][1] );
                PrintRatio( mean.TempIonEdenMean[dim][ipHYDROGEN][1][1], mean.TempIonMean[dim][ipHYDROGEN][1][1] );
                fprintf( ioQQQ, "\n" );
        }

        /* print out Peimbert analysis, tsqden default 1e7, changed
         * with set tsqden command */
        if( dense.gas_phase[ipHYDROGEN] < peimbt.tsqden )
        {
                fprintf(  ioQQQ, " \n" );

                /* temperature from the [OIII] 5007/4363 ratio */
                fprintf(  ioQQQ, " Peimbert T(OIIIr)");
                PrintE82( ioQQQ , peimbt.toiiir);

                /* temperature from predicted Balmer jump relative to Hbeta */
                fprintf(  ioQQQ, " T(Bac)");
                PrintE82( ioQQQ , peimbt.tbac);

                /* temperature predicted from optically thin Balmer jump rel to Hbeta */
                fprintf(  ioQQQ, " T(Hth)");
                PrintE82( ioQQQ , peimbt.tbcthn);

                /* t^2 predicted from the structure, weighted by H */
                fprintf(  ioQQQ, " t2(Hstrc)");
                fprintf( ioQQQ,PrintEfmt("%9.2e", peimbt.t2hstr));

                /* temperature from both [OIII] and the Balmer jump rel to Hbeta */
                fprintf(  ioQQQ, " T(O3-BAC)");
                PrintE82( ioQQQ , peimbt.tohyox);

                /* t2 from both [OIII] and the Balmer jump rel to Hbeta */
                fprintf(  ioQQQ, " t2(O3-BC)");
                fprintf( ioQQQ,PrintEfmt("%9.2e", peimbt.t2hyox));

                /* structural t2 from the O+2 predicted radial dependence */
                fprintf(  ioQQQ, " t2(O3str)");
                fprintf( ioQQQ,PrintEfmt("%9.2e", peimbt.t2o3str));

                fprintf(  ioQQQ, "\n");

                if( gv.lgDustOn() )
                {
                        fprintf( ioQQQ, " Be careful: grains exist.  This spectrum was not corrected for reddening before analysis.\n" );
                }
        }

        /* print average (over radius) grain dust parameters if lgDustOn() is true,
         * average quantities are incremented in radius_increment, zeroed in IterStart */
        if( gv.lgDustOn() && gv.lgGrainPhysicsOn )
        {
                char chQHeat;
                double AV , AB;
                double total_dust2gas = 0.;

                fprintf( ioQQQ, "\n Average Grain Properties (over radius):\n" );

                for( size_t i0=0; i0 < gv.bin.size(); i0 += 10 ) 
                {
                        if( i0 > 0 )
                                fprintf( ioQQQ, "\n" );

                        /* this is upper limit to how many grain species we will print across line */
                        size_t i1 = min(i0+10,gv.bin.size());

                        fprintf( ioQQQ, "       " );
                        for( size_t nd=i0; nd < i1; nd++ )
                        {
                                chQHeat = (char)(gv.bin[nd]->lgEverQHeat ? '*' : ' ');
                                fprintf( ioQQQ, "%-12.12s%c", gv.bin[nd]->chDstLab, chQHeat );
                        }
                        fprintf( ioQQQ, "\n" );

                        fprintf( ioQQQ, "    nd:" );
                        for( size_t nd=i0; nd < i1; nd++ )
                        {
                                if( nd != i0 ) fprintf( ioQQQ,"   " );
                                fprintf( ioQQQ, "%7ld   ", (unsigned long)nd );
                        }
                        fprintf( ioQQQ, "\n" );

                        fprintf( ioQQQ, " <Tgr>:" );
                        for( size_t nd=i0; nd < i1; nd++ )
                        {
                                if( nd != i0 ) fprintf( ioQQQ,"   " );
                                fprintf( ioQQQ,PrintEfmt("%10.3e", gv.bin[nd]->avdust/radius.depth_x_fillfac));
                        }
                        fprintf( ioQQQ, "\n" );

                        fprintf( ioQQQ, " <Vel>:" );
                        for( size_t nd=i0; nd < i1; nd++ )
                        {
                                if( nd != i0 ) fprintf( ioQQQ,"   " );
                                fprintf( ioQQQ,PrintEfmt("%10.3e", gv.bin[nd]->avdft/radius.depth_x_fillfac));
                        }
                        fprintf( ioQQQ, "\n" );

                        fprintf( ioQQQ, " <Pot>:" );
                        for( size_t nd=i0; nd < i1; nd++ )
                        {
                                if( nd != i0 ) fprintf( ioQQQ,"   " );
                                fprintf( ioQQQ,PrintEfmt("%10.3e", gv.bin[nd]->avdpot/radius.depth_x_fillfac));
                        }
                        fprintf( ioQQQ, "\n" );

                        fprintf( ioQQQ, " <D/G>:" );
                        for( size_t nd=i0; nd < i1; nd++ )
                        {
                                if( nd != i0 ) fprintf( ioQQQ,"   " );
                                fprintf( ioQQQ,PrintEfmt("%10.3e", gv.bin[nd]->avDGRatio/radius.depth_x_fillfac));
                                /* add up total dust to gas mass ratio */
                                total_dust2gas += gv.bin[nd]->avDGRatio/radius.depth_x_fillfac;
                        }
                        fprintf( ioQQQ, "\n" );
                }

                fprintf(ioQQQ," Dust to gas ratio (by mass):");
                fprintf(ioQQQ,PrintEfmt("%10.3e", total_dust2gas));

                /* total extinction (conv to mags) at V and B per hydrogen, this includes
                 * forward scattering as an extinction process, so is what would be measured
                 * for a star, but not for an extended source where forward scattering
                 * should be discounted */
                AV = rfield.extin_mag_V_point/SDIV(colden.colden[ipCOL_HTOT]);
                AB = rfield.extin_mag_B_point/SDIV(colden.colden[ipCOL_HTOT]);
                /* print A_V/N(Htot) for point and extended sources */
                fprintf(ioQQQ,", A(V)/N(H)(pnt):%.3e, (ext):%.3e", 
                        AV,
                        rfield.extin_mag_V_extended/SDIV(colden.colden[ipCOL_HTOT]) );

                /* ratio of total to selective extinction */
                fprintf(ioQQQ,", R:");

                /* gray grains have AB - AV == 0 */
                if( fabs(AB-AV)>SMALLFLOAT )
                {
                        fprintf(ioQQQ,"%.3e", AV/(AB-AV) );
                }
                else
                {
                        fprintf(ioQQQ,"%.3e", 0. );
                }
                fprintf(ioQQQ," AV(ext):%.3e (pnt):%.3e\n",
                        rfield.extin_mag_V_extended, 
                        rfield.extin_mag_V_point);
        }

        /* option to make short printout */
        if( !prt.lgPrtShort && called.lgTalk )
        {
                /* print log of optical depths, 
                 * calls prtmet if print line optical depths command entered */
                PrtAllTau();

                /* only print mean ionization and emergent continuum on last iteration */
                if( iterations.lgLastIt )
                {
                        /* option to print column densities, set with print column density command */
                        if( prt.lgPrintColumns )
                                PrtColumns(ioQQQ);
                        /* print mean ionization fractions for all elements */
                        PrtMeanIon('i', false, ioQQQ);
                        /* print mean ionization fractions for all elements with density weighting*/
                        PrtMeanIon('i', true , ioQQQ);
                        /* print mean temperature fractions for all elements */
                        PrtMeanIon('t', false, ioQQQ);
                        /* print mean temperature fractions for all elements with density weighting */
                        PrtMeanIon('t', true , ioQQQ);
                }
        }

        /* print input title for model */
        fprintf( ioQQQ, "%s\n\n", input.chTitle );
        fflush(ioQQQ);
        return;
}

/* routine to stuff comments into the stack of comments,
 * return is index to this comment */
long int StuffComment( const char * chComment )
{
        int n , i;

        DEBUG_ENTRY( "StuffComment()" );

        /* only do this one time per core load */
        if( LineSave.ipass == 0 )
        {
                if( LineSave.nComment >= NHOLDCOMMENTS )
                {
                        fprintf( ioQQQ, " Too many comments have been entered into line array; increase the value of NHOLDCOMMENTS.\n" );
                        cdEXIT(EXIT_FAILURE);
                }

                strcpy( LineSave.chHoldComments[LineSave.nComment], chComment );

                /* current length of this string */
                n = (long)strlen( LineSave.chHoldComments[LineSave.nComment] );
                for( i=0; i<prt_linecol.column_len-n; ++i )
                {
                        strcat( LineSave.chHoldComments[LineSave.nComment], ".");
                }

#if 0
                for( i=0; i<6; ++i )
                {
                        strcat( LineSave.chHoldComments[LineSave.nComment], " ");
                }
#endif
        }

        ++LineSave.nComment;
        return( LineSave.nComment-1 );
}

/*gett2 analyze computed structure to get structural t^2 */
STATIC void gett2(realnum *tsqr)
{
        long int i;

        double tmean;
        double a, 
          as, 
          b;

        DEBUG_ENTRY( "gett2()" );

        /* get T, t^2 */
        a = 0.;
        b = 0.;

        ASSERT( nzone < struc.nzlim);
        // struc.volstr[] is radius.dVeffAper saved as a function of nzone
        // we need this version of radius.dVeff since we want to compare to
        // emission lines that react to the APERTURE command
        for( i=0; i < nzone; i++ )
        {
                as = (double)(struc.volstr[i])*(double)(struc.hiistr[i])*
                  (double)(struc.ednstr[i]);
                a += (double)(struc.testr[i])*as;
                /* B is used twice below */
                b += as;
        }

        if( b <= 0. )
        {
                *tsqr = 0.;
        }
        else
        {
                /* following is H+ weighted mean temp over vol */
                tmean = a/b;
                a = 0.;

                ASSERT( nzone < struc.nzlim );
                for( i=0; i < nzone; i++ )
                {
                        as = (double)(struc.volstr[i])*(double)(struc.hiistr[i])*
                          struc.ednstr[i];
                        a += (POW2((double)(struc.testr[i]-tmean)))*as;
                }
                *tsqr = (realnum)(a/(b*(POW2(tmean))));
        }

        return;
}

/*gett2o3 analyze computed [OIII] spectrum to get t^2 */
STATIC void gett2o3(realnum *tsqr)
{
        long int i;
        double tmean;
        double a, 
          as, 
          b;

        DEBUG_ENTRY( "gett2o3()" );

        /* get T, t^2 */        a = 0.;
        b = 0.;
        ASSERT(nzone<struc.nzlim);
        // struc.volstr[] is radius.dVeffAper saved as a function of nzone
        // we need this version of radius.dVeff since we want to compare to
        // emission lines that react to the APERTURE command
        for( i=0; i < nzone; i++ )
        {
                as = (double)(struc.volstr[i])*(double)(struc.o3str[i])*
                  (double)(struc.ednstr[i]);
                a += (double)(struc.testr[i])*as;

                /* B is used twice below */
                b += as;
        }

        if( b <= 0. )
        {
                *tsqr = 0.;
        }

        else
        {
                /* following is H+ weighted mean temp over vol */
                tmean = a/b;
                a = 0.;
                ASSERT( nzone < struc.nzlim );
                for( i=0; i < nzone; i++ )
                {
                        as = (double)(struc.volstr[i])*(double)(struc.o3str[i])*
                          struc.ednstr[i];
                        a += (POW2((double)(struc.testr[i]-tmean)))*as;
                }
                *tsqr = (realnum)(a/(b*(POW2(tmean))));
        }
        return;
}