cool_eval.cpp

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/* This file is part of Cloudy and is copyright (C)1978-2013 by Gary J. Ferland and
 * others.  For conditions of distribution and use see copyright notice in license.txt */
/*CoolEvaluate main routine to call others, to evaluate total cooling */
#include "cddefines.h"
#include "physconst.h"
#include "hydrogenic.h"
#include "taulines.h"
#include "wind.h"
#include "coolheavy.h"
#include "radius.h"
#include "conv.h"
#include "h2.h"
#include "rt.h"
#include "doppvel.h"
#include "opacity.h"
#include "ionbal.h"
#include "dense.h"
#include "trace.h"
#include "dynamics.h"
#include "rfield.h"
#include "grainvar.h"
#include "atmdat.h"
#include "atoms.h"
#include "called.h"
#include "mole.h"
#include "hmi.h"
#include "numderiv.h"
#include "magnetic.h"
#include "phycon.h"
#include "lines_service.h"
#include "hyperfine.h"
#include "iso.h"
#include "thermal.h"
#include "cooling.h"
#include "pressure.h"
/*fndneg search cooling array to find negative values */
STATIC void fndneg(void);
/*fndstr search cooling stack to find strongest values */
STATIC void fndstr(double tot, 
  double dc);

/* set true to debug derivative of heating and cooling */
static const bool PRT_DERIV = false;

void CoolEvaluate(double *tot)
{
        static long int nhit = 0, 
          nzSave=0;

        static double TeEvalCS = 0., TeEvalCS_21cm=0.;
        static double TeUsedBrems=-1.f;
        static int nzoneUsedBrems=-1;

        static double   electron_rate_21cm,
                atomic_rate_21cm,
                proton_rate_21cm;

        double 
          cs ,
          deriv, 
          factor, 
          qn, 
          rothi=-SMALLFLOAT, 
          rotlow=-SMALLFLOAT, 
          x;

        static double oltcool=0., 
          oldtemp=0.;

        long int coolnum, coolcal;

        DEBUG_ENTRY( "CoolEvaluate()" );

        /* returns tot, the total cooling,
         * and dc, the derivative of the cooling */

        /* routine atom_level2( t10 )
         * routine atom_level3( abund , t10,t21,t20)
         * tsq1 = 1. / (te**2)
         * POPEXC( O12,g1,g2,A21,excit,abund); result already*a21
         * POP3(G1,G2,G3,O12,O13,O23,A21,A31,A32,E12,E23,P2,ABUND,GAM2)
         * AtomSeqBeryllium(cs23,cs24,cs34,tarray,a41)
         * FIVEL( G(1-5) , ex(wn,1-5), cs12,cs13,14,15,23,24,25,34,35,45,
         *  A21,31,41,51,32,42,52,43,53,54, pop(1-5), abund) */

        if( trace.lgTrace )
                fprintf( ioQQQ, "   COOLR TE:%.4e zone %li %li Cool:%.4e Heat:%.4e eden:%.4e edenTrue:%.4e\n", 
                phycon.te, 
                nzone, conv.nPres2Ioniz ,
                thermal.ctot , thermal.htot,dense.eden,dense.EdenTrue );

        /* must call TempChange since ionization has changed, there are some
         * terms that affect collision rates (H0 term in electron collision) */
        TempChange(phycon.te , false);

        /* now zero out the cooling stack */
        CoolZero();
        if( PRT_DERIV )
                fprintf(ioQQQ,"DEBUG dCdT  0 %.3e dHdT %.3e\n",thermal.dCooldT , thermal.dHeatdT);
        if( gv.lgGrainPhysicsOn )
        {
                /* grain heating and cooling */
                /* grain recombination cooling, evaluated elsewhere
                * can either heat or cool the gas, do cooling here */
                CoolAdd("dust",0,MAX2(0.,gv.GasCoolColl));

                /* grain cooling proportional to temperature ^3/2 */
                thermal.dCooldT += MAX2(0.,gv.GasCoolColl)*3./(2.*phycon.te);

                /* these are the various heat agents from grains */
                /* options to force gas heating or cooling by grains to zero - for tests only ! */
                if( gv.lgDustOn() && gv.lgDHetOn )
                {
                        /* rate dust heats gas by photoelectric effect */
                        thermal.heating[0][13] = gv.GasHeatPhotoEl;

                        /* if grains hotter than gas then collisions with gas act
                        * to heat the gas, add this in here
                        * a symmetric statement appears in COOLR, where cooling is added on */
                        thermal.heating[0][14] = MAX2(0.,-gv.GasCoolColl);

                        /* this is gas heating due to thermionic emissions */
                        thermal.heating[0][25] = gv.GasHeatTherm;
                }
                else
                {
                        thermal.heating[0][13] = 0.;
                        thermal.heating[0][14] = 0.;
                        thermal.heating[0][25] = 0.;
                }
        }
        else if( gv.lgBakesPAH_heat )
        {
                /* >>chng 06 jul 21, option to include Bakes PAH hack with grain physics off,
                 * needed to test dynamics models */
                thermal.heating[0][13] = gv.GasHeatPhotoEl;
        }

        if( PRT_DERIV )
                fprintf(ioQQQ,"DEBUG dCdT  1 %.3e dHdT %.3e\n",thermal.dCooldT , thermal.dHeatdT);

        /* molecular molecules molecule cooling */
        if( mole_global.lgNoMole )
        {
                /* this branch - do not include molecules */
                hmi.hmicol = 0.;
                CoolHeavy.brems_cool_hminus = 0.;
                /* line cooling within simple H2 molecule - zero when big used */
                CoolHeavy.h2line = 0.;
                /*  H + H+ => H2+ cooling */
                CoolHeavy.H2PlsCool = 0.;
                CoolHeavy.HD = 0.;

                /* thermal.heating[0][8] is heating due to collisions within X of H2 */
                thermal.heating[0][8] = 0.;
                /* thermal.heating[0][15] is H minus heating*/
                thermal.heating[0][15] = 0.;
                /* thermal.heating[0][16] is H2+ heating */
                thermal.heating[0][16] = 0.;
                hmi.HeatH2Dish_used = 0.;
                hmi.HeatH2Dexc_used = 0.;
                hmi.deriv_HeatH2Dexc_used = 0.;
        }

        else
        {
                /* save various molecular heating/cooling agent */
                thermal.heating[0][15] = hmi.hmihet;
                thermal.heating[0][16] = hmi.h2plus_heat;
                /* now get heating from H2 molecule, either simple or from big one */
                if( h2.lgEnabled  && hmi.lgH2_Thermal_BigH2 )
                {
                        if( h2.lgEvaluated )
                        {
                                /* these are explicitly from big H2 molecule,
                                 * first is heating due to radiative pump of excited states, followed by
                                 * radiative decay into continuum of X, followed by dissociation of molecule
                                 * with kinetic energy, typically 0.25 - 0.5 eV per event */
                                hmi.HeatH2Dish_used = h2.HeatDiss;
                                hmi.HeatH2Dexc_used = h2.HeatDexc;
                                if (0)
                                        fprintf(ioQQQ,"DEBUG big %.2f\t%.5e\t%.2e\t%.2e\t%.2e\n", 
                                                          fnzone , phycon.te, hmi.HeatH2Dexc_used,
                                                          hmi.H2_total, dense.gas_phase[ipHYDROGEN] );
                                /* negative sign because right term is really deriv of heating,
                                 * but will be used below as deriv of cooling */
                                hmi.deriv_HeatH2Dexc_used = -h2.HeatDexc_deriv;
                        }
                        else
                        {
                                hmi.HeatH2Dish_used = 0;
                                hmi.HeatH2Dexc_used = 0;
                                hmi.deriv_HeatH2Dexc_used = 0;
                        }
                }

                else if( hmi.chH2_small_model_type == 'T' )
                {
                        /* TH85 dissociation heating */
                        /* these come from approximations in TH85, see comments above */
                        hmi.HeatH2Dish_used = hmi.HeatH2Dish_TH85;
                        hmi.HeatH2Dexc_used = hmi.HeatH2Dexc_TH85;
                        hmi.deriv_HeatH2Dexc_used = hmi.deriv_HeatH2Dexc_TH85;
                }
                else if( hmi.chH2_small_model_type == 'H' )
                {
                        /* Burton et al. 1990 */
                        hmi.HeatH2Dish_used = hmi.HeatH2Dish_BHT90;
                        hmi.HeatH2Dexc_used = hmi.HeatH2Dexc_BHT90;
                        hmi.deriv_HeatH2Dexc_used = hmi.deriv_HeatH2Dexc_BHT90;
                }
                else if( hmi.chH2_small_model_type == 'B')
                {
                        /* Bertoldi & Draine */
                        hmi.HeatH2Dish_used = hmi.HeatH2Dish_BD96;
                        hmi.HeatH2Dexc_used = hmi.HeatH2Dexc_BD96;
                        hmi.deriv_HeatH2Dexc_used = hmi.deriv_HeatH2Dexc_BD96;
                }
                else if(hmi.chH2_small_model_type == 'E')
                {
                        /* this is the default when small H2 used */
                        hmi.HeatH2Dish_used = hmi.HeatH2Dish_ELWERT;
                        hmi.HeatH2Dexc_used = hmi.HeatH2Dexc_ELWERT;
                        hmi.deriv_HeatH2Dexc_used = hmi.deriv_HeatH2Dexc_ELWERT;
                }
                else
                        TotalInsanity();

                /* heating due to photodissociation heating */
                thermal.heating[0][17] = hmi.HeatH2Dish_used;

                /* heating due to continuum photodissociation */
                thermal.heating[0][28] = 0.;
                for( diatom_iter diatom = diatoms.begin(); diatom != diatoms.end(); ++diatom )
                {
                        if( (*diatom)->lgEnabled && mole_global.lgStancil )
                                thermal.heating[0][28] += (*diatom)->Cont_Diss_Heat_Rate();
                }

                /* heating (usually cooling in big H2) due to collisions within X */
                /* add to heating is net heating is positive */
                thermal.heating[0][8] = MAX2(0.,hmi.HeatH2Dexc_used);

                /* add to cooling if net heating is negative */
                CoolAdd("H2cX",0,MAX2(0.,-hmi.HeatH2Dexc_used));
                /*fprintf(ioQQQ,"DEBUG coolh2\t%.2f\t%.4e\t%.4e\t%.4e\t%.4e\t%.4e\n",
                        fnzone, phycon.te, dense.eden, hmi.H2_total, thermal.ctot, -hmi.HeatH2Dexc_used );*/
                /* add to net derivative */
                /*thermal.dCooldT += MAX2(0.,-hmi.HeatH2Dexc_used)* ( 30172. * thermal.tsq1 - thermal.halfte );*/
                /* >>chng 04 jan 25, check sign to prevent cooling from entering here,
                 * also enter neg sign since going into cooling stack (bug), in heatsum
                 * same term adds to deriv of heating */
                if( hmi.HeatH2Dexc_used < 0. )
                        thermal.dCooldT -= hmi.deriv_HeatH2Dexc_used;

                /*  H + H+ => H2+ cooling */
                CoolHeavy.H2PlsCool = (realnum)(MAX2((2.325*phycon.te-1875.)*1e-20,0.)*
                  dense.xIonDense[ipHYDROGEN][0]*dense.xIonDense[ipHYDROGEN][1]*1.66e-11);

                if( h2.lgEnabled )
                {
                        /* this is simplified approximation to H2 rotation cooling,
                         * big molecule goes this far better */
                        CoolHeavy.h2line = 0.;
                }
                else
                {
                        /*  rate for rotation lines from 
                        *  >>refer      h2      cool    Lepp, S., & Shull, J.M. 1983, ApJ, 270, 578 */
                        x = phycon.alogte - 4.;
                        if( phycon.te > 1087. )
                        {
                                rothi = 3.90e-19*sexp(6118./phycon.te);
                        }
                        else
                        {
                                rothi = pow(10.,-19.24 + 0.474*x - 1.247*x*x);
                        }

                        /*  low density rotation cooling */
                        /*&qn = pow(MAX2(findspecieslocal("H2")->den,1e-37),0.77) + 1.2*pow(MAX2(dense.xIonDense[ipHYDROGEN][0],1e-37),0.77);*/
                        qn = pow(MAX2(hmi.H2_total,1e-37),0.77) + 1.2*pow(MAX2(dense.xIonDense[ipHYDROGEN][0],1e-37),0.77);
                        /* these are equations 11 from LS83 */
                        if( phycon.te > 4031. )
                        {
                                rotlow = 1.38e-22*sexp(9243./phycon.te)*qn;
                        }
                        else
                        {
                                rotlow = pow(10.,-22.90 - 0.553*x - 1.148*x*x)*qn;
                        }

                        CoolHeavy.h2line = 0.;
                        if( rotlow > 0. )
                                CoolHeavy.h2line += hmi.H2_total*rothi/(1. + rothi/rotlow);
                        /* \todo 1 add this from LS83 or (better yet) update to another form.  See Galli & Palla 1998, A5-7. */
                        //if( viblow > 0. )
                        //      CoolHeavy.h2line += hmi.H2_total*vibhi/(1. + vibhi/viblow);
                }

                {
                        enum {DEBUG_LOC=false};
                        if( DEBUG_LOC && nzone>187&& iteration > 1)
                        {
                                fprintf(ioQQQ,"h2coolbug\t%.2e\t%.2e\t%.2e\t%.2e\t%.2e\t%.2e\t%.2e\n",
                                        phycon.te, 
                                        CoolHeavy.h2line, 
                                        hmi.H2_total, 
                                        findspecieslocal("H-")->den, 
                                        hmi.HMinus_photo_rate,
                                        rothi,
                                        rotlow );
                        }
                }

                if( hd.lgEnabled )
                {
                        CoolHeavy.HD = 0.;
                }
                else
                {
                        /* >>chng 02 mar 07, add DH cooling using rates (eqn 6) from
                         * >>refer      HD      cooling Puy, D., Grenacher, L, & Jetzer, P., 1999, A&A, 345, 723 */
                        factor = sexp(128.6/phycon.te);
                        CoolHeavy.HD = 2.66e-21 * hydro.D2H_ratio * POW2((double)hmi.H2_total) * phycon.sqrte *
                                factor/(1416.+phycon.sqrte*hmi.H2_total * (1. + 3.*factor));
                }
        }

        fixit(); // test and enable this by default
#if 0
        double chemical_heating = mole.chem_heat();     
        thermal.heating[0][29] = MAX2(0.,chemical_heating);
        /* add to cooling if net heating is negative */
        CoolAdd("Chem",0,MAX2(0.,-chemical_heating));
#endif

        /* cooling due to charge transfer ionization / recombination */
        CoolAdd("CT C" , 0. , thermal.char_tran_cool );

        /*  H- FB; H + e -> H- + hnu */
        /*  H- FF is in with H ff */
        CoolAdd("H-fb",0,hmi.hmicol);

        /* >>chng 96 nov 15, fac of 2 in deriv to help convergence in very dense
         * models where H- is important, this takes change in eden into
         * partial account */
        thermal.dCooldT += 2.*hmi.hmicol*phycon.teinv;
        if( PRT_DERIV )
                fprintf(ioQQQ,"DEBUG dCdT  2 %.3e dHdT %.3e\n",thermal.dCooldT , thermal.dHeatdT);

        CoolAdd("H2ln",0,CoolHeavy.h2line);
        /* >>chng 00 oct 21, added coef of 3.5, sign had been wrong */
        /*thermal.dCooldT += CoolHeavy.h2line*phycon.teinv;*/
        /* >>chng 03 mar 17, change 3.5 to 15 as per behavior in primal.in */
        /*thermal.dCooldT += 3.5*CoolHeavy.h2line*phycon.teinv;*/
        /* >>chng 03 may 18, from 15 to 30 as per behavior in primal.in - overshoots happen */
        /*thermal.dCooldT += 15.*CoolHeavy.h2line*phycon.teinv;*/
        /*>>chng 03 oct 03, from 30 to 3, no more overshoots in primalin */
        /*thermal.dCooldT += 30.*CoolHeavy.h2line*phycon.teinv;*/
        thermal.dCooldT += 3.0*CoolHeavy.h2line*phycon.teinv;

        {
                /* problems with H2 cooling */
                enum {DEBUG_LOC=false};
                if( DEBUG_LOC /*&& nzone>300 && iteration > 1*/)
                {
                        fprintf(ioQQQ,"CoolEvaluate debuggg\t%.2f\t%.5e\t%.5e\t%.5e\t%.5e\t%.5e\n",
                        fnzone, 
                        phycon.te, 
                        hmi.H2_total , 
                        CoolHeavy.h2line,
                        findspecieslocal("H-")->den , 
                        dense.eden);
                }
        }

        CoolAdd("HDro",0,CoolHeavy.HD);
        thermal.dCooldT += CoolHeavy.HD*phycon.teinv;

        CoolAdd("H2+ ",0,CoolHeavy.H2PlsCool);
        thermal.dCooldT += CoolHeavy.H2PlsCool*phycon.teinv;

        /* heating due to three-body, will be incremented in iso_cool*/
        thermal.heating[0][3] = 0.;
        /* heating due to hydrogen lines */
        thermal.heating[0][23] = 0.;
        /* heating due to photoionization of all excited states of hydrogen species */
        thermal.heating[0][1] = 0.;

        /* isoelectronic species cooling, mainly lines, and level ionization */
        for( long int ipISO=ipH_LIKE; ipISO<NISO; ++ipISO )
        {
                for( long int nelem=ipISO; nelem < LIMELM; nelem++ )
                {
                        /* must always call iso_cool since we must zero those variables
                        * that would have been set had the species been present */
                        iso_cool( ipISO , nelem );
                }
        }

        /* >>chng 02 jun 18, don't reevaluate needlessly */
        /* >>chng 03 nov 28, even faster - special logic for when ff is pretty
         * negligible - eval of ff is pretty slow */
        /* >>chng 04 feb 19, must not test on temp not changing, since ionization
         * can change at constant temperature 
         * >>chng 04 sep 14, above introduced bug since brems never reevaluated
         * now test is zone or temp has changed */
        if( fabs(CoolHeavy.brems_cool_net)/SDIV(thermal.ctot) > conv.HeatCoolRelErrorAllowed/5. || 
            conv.lgSearch || 
            !fp_equal(phycon.te,TeUsedBrems) ||
            nzone != nzoneUsedBrems )
        {
                double BremsThisEnergy;
                /*double OpacityThisIon;*/
                long int limit;
                /* free-free free free brems emission for all ions */

                TeUsedBrems = phycon.te;
                nzoneUsedBrems = nzone;
                /* highest frequency where we have non-zero Boltzmann factors */
                limit = MIN2( rfield.ipMaxBolt , rfield.nflux );

                CoolHeavy.brems_cool_hminus = 0.;
                CoolHeavy.brems_cool_h = 0.;
                CoolHeavy.brems_cool_metals = 0.;
                CoolHeavy.brems_cool_he = 0.;
                CoolHeavy.brems_heat_total = 0.;

                {
                        double bhfac, bhMinusfac;
                        realnum sumion[LIMELM+1];
                        long int ion_lo , ion_hi;

                        ASSERT(rfield.ipEnergyBremsThin < rfield.nupper);
                        ASSERT(limit < rfield.nupper);

                        /* ipEnergyBremsThin is index to energy where gas becomes optically thin to brems,
                         * so this loop is over optically thin frequencies 
                         * do not include optically thick part as net emission since self absorbed */

                        /* do hydrogen first, before main loop since want to break out as separate
                         * coolant, and what to add on H- brems */
                        CoolHeavy.brems_cool_h = 0.;
                        CoolHeavy.brems_cool_hminus = 0.;
                        /* this is all done in opacity_addtotal - why do here too? */
                        for( long int i=rfield.ipEnergyBremsThin; i < limit; i++ )
                        {
                                long int ion = 1;

                                /* in all following CoolHeavy.lgFreeOn is flag set with 'no free-free' to
                                 * turn off brems heating and cooling */
                                BremsThisEnergy = rfield.gff[ion][i]*rfield.widflx[i]*rfield.ContBoltz[i];
                                /*ASSERT( BremsThisEnergy >= 0. );*/
                                CoolHeavy.brems_cool_h += BremsThisEnergy;

                                /* for case of hydrogen, add H- brems - OpacStack contains the ratio
                                 * of the H- to H brems cross section - multiply by this and H(1s) population */
                                CoolHeavy.brems_cool_hminus += BremsThisEnergy * opac.OpacStack[i-1+opac.iphmra];
                        }
                        bhfac = (dense.xIonDense[ipHYDROGEN][1]+findspecieslocal("H2+")->den+findspecieslocal("H3+")->den)*CoolHeavy.lgFreeOn* dense.eden*1.032e-11/phycon.sqrte*EN1RYD;
                        bhMinusfac = iso_sp[ipH_LIKE][ipHYDROGEN].st[ipH1s].Pop()*CoolHeavy.lgFreeOn* dense.eden*1.032e-11/phycon.sqrte*EN1RYD;
                        CoolHeavy.brems_cool_h *= bhfac;
                        CoolHeavy.brems_cool_hminus *= bhMinusfac;

                        /* now do helium, both He+ and He++ */
                        CoolHeavy.brems_cool_he = 0.;
                        for( long int i=rfield.ipEnergyBremsThin; i < limit; i++ )
                        {
                                long int nelem = ipHELIUM;
                                /* eff. charge is ion, so first rfield.gff argument must be "ion".      */
                                BremsThisEnergy = 
                                        (dense.xIonDense[nelem][1]*rfield.gff[1][i] + 4.*dense.xIonDense[nelem][2]*rfield.gff[2][i])*
                                        rfield.widflx[i]*rfield.ContBoltz[i];
                                CoolHeavy.brems_cool_he += BremsThisEnergy;
                        }
                        CoolHeavy.brems_cool_he *=
                                CoolHeavy.lgFreeOn * dense.eden*1.032e-11/phycon.sqrte*EN1RYD;

                        /* >>chng 05 jul 13, rewrite this for speed */
                        /* gaunt factors depend only on photon energy and ion charge, so do
                        * sum of ions here before entering into loop over photon energy */
                        sumion[0] = 0.;
                        for( long int ion=1; ion<=LIMELM; ++ion )
                        {
                                sumion[ion] = 0.;
                                for( long int nelem=ipLITHIUM; nelem < LIMELM; ++nelem )
                                {
                                        if( dense.lgElmtOn[nelem] && ion<=nelem+1 )
                                        {
                                                sumion[ion] += dense.xIonDense[nelem][ion];
                                        }
                                }
                                /* now include the charge, density, and temperature */
                                sumion[ion] *= POW2((realnum)ion);
                        }

                        /* add molecular ions */
                        for( long ipMol = 0; ipMol<mole_global.num_calc; ipMol++ )
                        {
                                ASSERT( (mole_global.list[ipMol]->n_nuclei() != 1) ==
                                                  (!mole_global.list[ipMol]->isMonatomic()));

                                if( !mole_global.list[ipMol]->isMonatomic() && 
                                         mole_global.list[ipMol]->parentLabel.empty() &&
                                         mole_global.list[ipMol]->charge > 0 &&
                                         mole_global.list[ipMol]->label != "H2+" &&
                                         mole_global.list[ipMol]->label != "H3+" )
                                {       
                                        ASSERT( mole_global.list[ipMol]->charge < LIMELM+1 );
                                        sumion[mole_global.list[ipMol]->charge] += (realnum)mole.species[ipMol].den * POW2((realnum)mole_global.list[ipMol]->charge);
                                }
                        }

                        /* now find lowest and highest ion we need to consider - following loop is over
                         * full continuum and eats time
                         * >>chng 05 oct 19, bounds check had been on ion, rather than ion_lo and ion_hi, so
                         * array bounds were exceeded */
                        ion_lo = 1;
                        while( sumion[ion_lo]==0 && ion_lo<LIMELM-1 )
                                ++ion_lo;
                        ion_hi = LIMELM;
                        while( sumion[ion_hi]==0 && ion_hi>0 )
                                --ion_hi;

                        /* heavy elements */
                        CoolHeavy.brems_cool_metals = 0.;
                        CoolHeavy.brems_heat_total = 0.;
                        for( long int i=rfield.ipEnergyBremsThin; i < limit; i++ )
                        {
                                BremsThisEnergy = 0.;
                                for(long int ion=ion_lo; ion<=ion_hi; ++ion )
                                        BremsThisEnergy += sumion[ion]*rfield.gff[ion][i];

                                CoolHeavy.brems_cool_metals += BremsThisEnergy*rfield.widflx[i]*rfield.ContBoltz[i];
                                /* the total heating due to bremsstrahlung */
                                CoolHeavy.brems_heat_total += opac.FreeFreeOpacity[i]*rfield.flux[0][i]*rfield.anu[i]*EN1RYD*CoolHeavy.lgFreeOn;
                        }
                        CoolHeavy.brems_cool_metals *=
                                CoolHeavy.lgFreeOn * dense.eden*1.032e-11/phycon.sqrte*EN1RYD;

                        {
                                enum {DEBUG_LOC=false};
                                if( DEBUG_LOC && nzone>60 /*&& iteration > 1*/)
                                {
                                        double sumfield = 0., sumtot=0., sum1=0., sum2=0.;
                                        for( long int i=rfield.ipEnergyBremsThin; i<limit;  i++ )
                                        {
                                                sumtot += opac.FreeFreeOpacity[i]*rfield.flux[0][i]*rfield.anu[i];
                                                sumfield += rfield.flux[0][i]*rfield.anu[i];
                                                sum1 += opac.FreeFreeOpacity[i]*rfield.flux[0][i]*rfield.anu[i];
                                                sum2 += opac.FreeFreeOpacity[i]*rfield.flux[0][i];
                                        }
                                        fprintf(ioQQQ,"DEBUG brems heat\t%.2f\t%.3e\t%.3e\t%.3e\t%e\t%.3e\t%.3e\n",
                                                fnzone,
                                                CoolHeavy.brems_heat_total,
                                                sumtot/SDIV(sumfield) ,
                                                sum1/SDIV(sum2),
                                                phycon.te , 
                                                rfield.gff[1][1218],
                                                opac.FreeFreeOpacity[1218]);
                                }
                        }
                }
        }

        /* these two terms are both large, nearly canceling, near lte */
        CoolHeavy.brems_cool_net = 
                CoolHeavy.brems_cool_h + 
                CoolHeavy.brems_cool_he + 
                CoolHeavy.brems_cool_hminus + 
                CoolHeavy.brems_cool_metals - 
                CoolHeavy.brems_heat_total;
        /*fprintf(ioQQQ,"DEBUG brems\t%.2f\t%.4e\t%.4e\t%.4e\t%.4e\t%.4e\t%.4e\t%.4e\n",
                fnzone,
                phycon.te,
                CoolHeavy.brems_cool_net,
                CoolHeavy.brems_cool_h ,
                CoolHeavy.brems_cool_he ,
                CoolHeavy.brems_cool_hminus,
                CoolHeavy.brems_cool_metals ,
                CoolHeavy.brems_heat_total);*/

        /* net free free brems cooling, count as cooling if positive */
        CoolAdd( "FF c" , 0, MAX2(0.,CoolHeavy.brems_cool_net) );

        /* now stuff into heating array if negative */
        thermal.heating[0][11] = MAX2(0.,-CoolHeavy.brems_cool_net);

        /* >>chng 96 oct 30, from HFFNet to just FreeFreeCool,
         * since HeatSum picks up CoolHeavy.brems_heat_total */
        thermal.dCooldT += CoolHeavy.brems_cool_h*thermal.halfte;
        if( PRT_DERIV )
                fprintf(ioQQQ,"DEBUG dCdT  3 %.3e dHdT %.3e\n",thermal.dCooldT , thermal.dHeatdT);

        /* >>chng 02 jun 21, net cooling already includes this */
        /* end of brems cooling */

        /* heavy element recombination cooling, do not count hydrogenic since
         * already done above, also helium singlets have been done */
        /* >>chng 02 jul 21, put in charge dependent rec term */
        CoolHeavy.heavfb = 0.;
        for( long int nelem=ipLITHIUM; nelem < LIMELM; nelem++ )
        {
                if( dense.lgElmtOn[nelem] )
                {
                        /* note that detailed iso seq atoms are done in iso_cool */
                        long limit_lo = MAX2( 1 , dense.IonLow[nelem] );
                        long limit_hi = MIN2( nelem-NISO+1, dense.IonHigh[nelem] );
                        for( long int ion=limit_lo; ion<=limit_hi; ++ion )
                        {
                                /* factor of 0.9 is roughly correct for nebular conditions, see
                                 * >>refer      H       rec cooling     LaMothe, J., & Ferland, G.J., 2001, PASP, 113, 165 */
                                /* note that ionbal.RR_rate_coef_used is the rate coef, cm3 s-1, needs eden */
                                /* >>chng 02 nov 07, move rec arrays around, this now has ONLY rad rec,
                                 * previously had included grain rec and three body */
                                /* recombination cooling for iso-seq atoms are done in iso_cool */
                                double one = dense.xIonDense[nelem][ion] * ionbal.RR_rate_coef_used[nelem][ion-1]*
                                        dense.eden * phycon.te * BOLTZMANN;
                                /*fprintf(ioQQQ,"debugggfb\t%li\t%li\t%.3e\t%.3e\t%.3e\n", nelem, ion, one, 
                                        dense.xIonDense[nelem][ion] , ionbal.RR_rate_coef_used[nelem][ion]);*/
                                CoolHeavy.heavfb += one;
                        }
                }
        }

        /*fprintf(ioQQQ,"debuggg hvFB\t%i\t%.2f\t%.2e\t%.2e\n",iteration, fnzone,CoolHeavy.heavfb, dense.eden);*/

        CoolAdd("hvFB",0,CoolHeavy.heavfb);
        thermal.dCooldT += CoolHeavy.heavfb*.113*phycon.teinv;
        if( PRT_DERIV )
                fprintf(ioQQQ,"DEBUG dCdT  4 %.3e dHdT %.3e\n",thermal.dCooldT , thermal.dHeatdT);

        /* electron-electron brems, approx form from 
         * >>refer      ee      brems   Stepney and Guilbert, MNRAS 204, 1269 (1983)
         * ok for T<10**9 */
        CoolHeavy.eebrm = POW2(dense.eden*phycon.te*1.84e-21);

        /* >>chng 97 mar 12, added deriv */
        thermal.dCooldT += CoolHeavy.eebrm*thermal.halfte;
        CoolAdd("eeff",0,CoolHeavy.eebrm);

        /* add advective heating and cooling */
        /* this is cooling due to loss of matter from this region */
        CoolAdd("adve",0,dynamics.Cool() );
        /* >>chng02 dec 04, rm factor of 8 in front of dCooldT */
        thermal.dCooldT += dynamics.dCooldT();
        /* local heating due to matter moving into this location */
        thermal.heating[1][5] = dynamics.Heat();
        thermal.dHeatdT += dynamics.dHeatdT;

        /* total Compton cooling */
        CoolHeavy.tccool = rfield.cmcool*phycon.te;
        CoolAdd("Comp",0,CoolHeavy.tccool);
        thermal.dCooldT += rfield.cmcool;

        /* option for "extra" cooling, expressed as power-law in temperature, these
         * are set with the CEXTRA command */
        if( thermal.lgCExtraOn )
        {
                CoolHeavy.cextxx = 
                        (realnum)(thermal.CoolExtra*pow(phycon.te/1e4,(double)thermal.cextpw));
        }
        else
        {
                CoolHeavy.cextxx = 0.;
        }
        CoolAdd("Extr",0,CoolHeavy.cextxx);

        realnum dDensityDT;

        /* cooling due to wind expansion, only for winds expansion cooling */
        if( wind.lgBallistic() )
        {
                dDensityDT = -(realnum)(wind.AccelTotalOutward/wind.windv + 2.*wind.windv/
                  radius.Radius);
                CoolHeavy.expans = -2.5*pressure.PresGasCurr*dDensityDT;
        }
        else if( dynamics.lgTimeDependentStatic && 
                                iteration > dynamics.n_initial_relax)
        {
                realnum dens = scalingDensity();
                dDensityDT = 
                        (realnum)((dens-dynamics.Upstream_density)/
                        (dynamics.timestep*0.5*(dens+dynamics.Upstream_density)));
                // pdV work term
                CoolHeavy.expans = -pressure.PresGasCurr*dDensityDT;
        }
        else
        {
                dDensityDT = 0.;
                CoolHeavy.expans = 0.;
        }
        CoolAdd("Expn",0,CoolHeavy.expans);
        thermal.dCooldT += CoolHeavy.expans/phycon.te;

        /* cyclotron cooling */
        /* coef is 4/3 /8pi /c * vtherm(elec) */
        CoolHeavy.cyntrn = 4.5433e-25f*magnetic.pressure*PI8*dense.eden*phycon.te;
        CoolAdd("Cycl",0,CoolHeavy.cyntrn);
        thermal.dCooldT += CoolHeavy.cyntrn/phycon.te;

        /* heavy element collisional ionization
         * derivative should be zero since increased coll ion rate
         * decreases neutral fraction by proportional amount */
        CoolAdd("Hvin",0,CoolHeavy.colmet);

        /* evaluate H 21 cm spin changing collisions */
        coolnum = thermal.ncltot;
        if( !fp_equal(phycon.te,TeEvalCS_21cm) )
        {
                {
                        /* this prints table of rates at points given in original data paper */
                        enum {DEBUG_LOC=false};
                        if( DEBUG_LOC )
                        {
#                               define N21CM_TE 16
                                int n;
                                double teval[N21CM_TE]={2.,5.,10.,20.,50.,100.,200.,500.,1000.,
                                        2000.,3000.,5000.,7000.,10000.,15000.,20000.};
                                for( n = 0; n<N21CM_TE; ++n )
                                {
                                        fprintf(
                                                ioQQQ,"DEBUG 21 cm deex Te=\t%.2e\tH0=\t%.2e\tp=\t%.2e\te=\t%.2e\n",
                                                teval[n], 
                                                H21cm_H_atom( teval[n] ),
                                                H21cm_proton( teval[n] ),
                                                H21cm_electron( teval[n] ) );
                                }
                                cdEXIT(EXIT_FAILURE);
#                               undef N21CM_TE
                        }
                }
                /*only evaluate T dependent part when Te changes, but update
                 * density part below since densities may constantly change */
                atomic_rate_21cm = H21cm_H_atom( phycon.te );
                proton_rate_21cm = H21cm_proton( phycon.te );
                electron_rate_21cm = H21cm_electron( phycon.te );
                TeEvalCS_21cm = phycon.te;
        }
        /* H 21 cm emission/population,
        * cs will be sum of e cs and H cs converted from rate */
        cs = (electron_rate_21cm * dense.eden + 
                    atomic_rate_21cm * dense.xIonDense[ipHYDROGEN][0] +
                    proton_rate_21cm * dense.xIonDense[ipHYDROGEN][1] ) *
                        3./     dense.cdsqte;
        PutCS(  cs , HFLines[0] );

        /* fine structure lines */
        if( !fp_equal(phycon.te,TeEvalCS) )
        {
                /* H 21 cm done above, now loop over remaining lines to get collision strengths */
                for( long int i=1; i < nHFLines; i++ )
                {
                        cs = HyperfineCS( i );
                        /* now generate the collision strength and put into the line array */
                        PutCS(  cs , HFLines[i] );
                }
                TeEvalCS = phycon.te;
        }

        /* do level pops for H 21 cm which is a special case since Lya pumping in included */
        RT_line_one( HFLines[0], true,0.f, GetDopplerWidth(dense.AtomicWeight[(*HFLines[0].Hi()).nelem()-1]) );
        H21_cm_pops();
        if( PRT_DERIV )
                fprintf(ioQQQ,"DEBUG dCdT  5 %.3e dHdT %.3e\n",thermal.dCooldT , thermal.dHeatdT);

        /* find total cooling due to hyperfine structure lines */
        hyperfine.cooling_total = HFLines[0].Coll().cool();

        /* now do level pops for all except 21 cm  */
        for( long int i=1; i < nHFLines; i++ )
        {
                /* remember current gas-phase abundance of this isotope */
                realnum save = dense.xIonDense[(*HFLines[i].Hi()).nelem()-1][(*HFLines[i].Hi()).IonStg()-1];

                /* bail if no abundance */
                if( save<=0. ) 
                        continue;

                RT_line_one( HFLines[i], true,0.f, GetDopplerWidth(dense.AtomicWeight[(*HFLines[i].Hi()).nelem()-1]) );

                /* set gas-phase abundance to total times isotope ratio */
                dense.xIonDense[(*HFLines[i].Hi()).nelem()-1][(*HFLines[i].Hi()).IonStg()-1] *= 
                        hyperfine.HFLabundance[i];

                /* use the collision strength generated above and find pops and cooling */
                atom_level2( HFLines[i] );

                /* put the correct gas-phase abundance back in the array */
                dense.xIonDense[(*HFLines[i].Hi()).nelem()-1][(*HFLines[i].Hi()).IonStg()-1] = save;

                /* find total cooling due to hyperfine structure lines */
                hyperfine.cooling_total += HFLines[i].Coll().cool();
        }
        for( coolcal = coolnum; coolcal < thermal.ncltot; coolcal++ )
                thermal.elementcool[ipHYDROGEN] += thermal.cooling[coolcal];

        if( PRT_DERIV )
                fprintf(ioQQQ,"DEBUG dCdT  6 %.3e dHdT %.3e\n",thermal.dCooldT , thermal.dHeatdT);

        double xIonDenseSave[LIMELM][LIMELM+1];
        if( atmdat.lgChiantiOn ||atmdat.lgStoutOn)
        {
                for( int nelem=0; nelem < LIMELM; nelem++ )
                {               
                        for( int ion=0; ion<=nelem+1; ++ion )
                        {
                                xIonDenseSave[nelem][ion] = dense.xIonDense[nelem][ion];
                                // zero abundance of species if we are using Chianti for this ion
                                if( dense.lgIonChiantiOn[nelem][ion] || dense.lgIonStoutOn[nelem][ion] )
                                        dense.xIonDense[nelem][ion] = 0.;
                        }
                }
        }

        /* Carbon cooling */
        coolnum = thermal.ncltot;
        CoolCarb();
        for( coolcal = coolnum; coolcal < thermal.ncltot; coolcal++ )
            thermal.elementcool[ipCARBON] += thermal.cooling[coolcal];
        if( PRT_DERIV )
                fprintf(ioQQQ,"DEBUG dCdT  C %.3e dHdT %.3e\n",thermal.dCooldT , thermal.dHeatdT);

        /* Nitrogen cooling */
        coolnum = thermal.ncltot;
        CoolNitr();
        for( coolcal = coolnum; coolcal < thermal.ncltot; coolcal++ )
                thermal.elementcool[ipNITROGEN] += thermal.cooling[coolcal];
        if( PRT_DERIV )
                fprintf(ioQQQ,"DEBUG dCdT  N %.3e dHdT %.3e\n",thermal.dCooldT , thermal.dHeatdT);

        /* Oxygen cooling */
        coolnum = thermal.ncltot;
        CoolOxyg();
        for( coolcal = coolnum; coolcal < thermal.ncltot; coolcal++ )
                thermal.elementcool[ipOXYGEN] += thermal.cooling[coolcal];
        if( PRT_DERIV )
                fprintf(ioQQQ,"DEBUG dCdT  7 %.3e dHdT %.3e\n",thermal.dCooldT , thermal.dHeatdT);

        /* Neon cooling */
        coolnum = thermal.ncltot;
        CoolNeon();
        if( PRT_DERIV )
                fprintf(ioQQQ,"DEBUG dCdT Ne %.3e dHdT %.3e\n",thermal.dCooldT
        , thermal.dHeatdT);
        for( coolcal = coolnum; coolcal < thermal.ncltot; coolcal++ )
                thermal.elementcool[ipNEON] += thermal.cooling[coolcal];

        /* Magnesium cooling */
        coolnum = thermal.ncltot;
        CoolMagn();
        if( PRT_DERIV )
                fprintf(ioQQQ,"DEBUG dCdT  8 %.3e dHdT %.3e\n",thermal.dCooldT
        , thermal.dHeatdT);
        for( coolcal = coolnum; coolcal < thermal.ncltot; coolcal++ )
                thermal.elementcool[ipMAGNESIUM] += thermal.cooling[coolcal];

        /* Sodium cooling */
        coolnum = thermal.ncltot;
        CoolSodi();
        for( coolcal = coolnum; coolcal < thermal.ncltot; coolcal++ )
                thermal.elementcool[ipSODIUM] += thermal.cooling[coolcal];
        if( PRT_DERIV )
                fprintf(ioQQQ,"DEBUG dCdT Na %.3e dHdT %.3e\n",thermal.dCooldT , thermal.dHeatdT);

        /* Aluminum cooling */
        coolnum = thermal.ncltot;
        CoolAlum();
        for( coolcal = coolnum; coolcal < thermal.ncltot; coolcal++ )
                thermal.elementcool[ipALUMINIUM] += thermal.cooling[coolcal];
        if( PRT_DERIV )
                fprintf(ioQQQ,"DEBUG dCdT Al %.3e dHdT %.3e\n",thermal.dCooldT , thermal.dHeatdT);

        /* Silicon cooling */
        coolnum = thermal.ncltot;
        CoolSili();
        for( coolcal = coolnum; coolcal < thermal.ncltot; coolcal++ )
                thermal.elementcool[ipSILICON] += thermal.cooling[coolcal];
        if( PRT_DERIV )
                fprintf(ioQQQ,"DEBUG dCdT  9 %.3e dHdT %.3e\n",thermal.dCooldT , thermal.dHeatdT);

        /* Phosphorus */
        coolnum = thermal.ncltot;
        CoolPhos();
        for( coolcal = coolnum; coolcal < thermal.ncltot; coolcal++ )
                thermal.elementcool[ipPHOSPHORUS] += thermal.cooling[coolcal];

        /* Sulphur cooling */
        coolnum = thermal.ncltot;
        CoolSulf();
        for( coolcal = coolnum; coolcal < thermal.ncltot; coolcal++ )
                thermal.elementcool[ipSULPHUR] += thermal.cooling[coolcal];

        /* Chlorine cooling */
        coolnum = thermal.ncltot;
        CoolChlo();
        for( coolcal = coolnum; coolcal < thermal.ncltot; coolcal++ )
                thermal.elementcool[ipCHLORINE] += thermal.cooling[coolcal];

        /* Argon cooling */
        coolnum = thermal.ncltot;
        CoolArgo();
        for( coolcal = coolnum; coolcal < thermal.ncltot; coolcal++ )
                thermal.elementcool[ipARGON] += thermal.cooling[coolcal];
        if( PRT_DERIV )
                fprintf(ioQQQ,"DEBUG dCdT 10 %.3e dHdT %.3e\n",thermal.dCooldT , thermal.dHeatdT);

        /* Potasium cooling */
        coolnum = thermal.ncltot;
        CoolPota();
        for( coolcal = coolnum; coolcal < thermal.ncltot; coolcal++ )
                thermal.elementcool[ipPOTASSIUM] += thermal.cooling[coolcal];

        /* Calcium cooling */
        coolnum = thermal.ncltot;
        CoolCalc();
        for( coolcal = coolnum; coolcal < thermal.ncltot; coolcal++ )
                thermal.elementcool[ipCALCIUM] += thermal.cooling[coolcal];

        /* Scandium cooling */
        coolnum = thermal.ncltot;
        CoolScan();
        for( coolcal = coolnum; coolcal < thermal.ncltot; coolcal++ )
                thermal.elementcool[ipSCANDIUM] += thermal.cooling[coolcal];

        /* Chromium cooling */
        coolnum = thermal.ncltot;
        CoolChro();
        for( coolcal = coolnum; coolcal < thermal.ncltot; coolcal++ )
                thermal.elementcool[ipCHROMIUM] += thermal.cooling[coolcal];
        

        /* Iron cooling */
        coolnum = thermal.ncltot;
        CoolIron();
        for( coolcal = coolnum; coolcal < thermal.ncltot; coolcal++ )
                thermal.elementcool[ipIRON] += thermal.cooling[coolcal];
        if( PRT_DERIV )
                fprintf(ioQQQ,"DEBUG dCdT 12 %.3e dHdT %.3e\n",thermal.dCooldT , thermal.dHeatdT);

        /* Cobalt cooling */
        coolnum = thermal.ncltot;
        CoolCoba();
        for( coolcal = coolnum; coolcal < thermal.ncltot; coolcal++ )
                thermal.elementcool[ipCOBALT] += thermal.cooling[coolcal];

        /* Nickel cooling */
        coolnum = thermal.ncltot;
        CoolNick();
        for( coolcal = coolnum; coolcal < thermal.ncltot; coolcal++ )
                thermal.elementcool[ipNICKEL] += thermal.cooling[coolcal];

        coolnum = thermal.ncltot;

        // reset abundances to original values, may have been set zero to protect against old cloudy lines
        if( atmdat.lgChiantiOn || atmdat.lgStoutOn)
        {
                // this clause, first reset abundances set to zero when Chianti included
                for( int nelem=0; nelem < LIMELM; nelem++ )
                {
                        for( int ion=0; ion<=nelem+1; ++ion )
                        {
                                dense.xIonDense[nelem][ion] = xIonDenseSave[nelem][ion];
                        }
                }
        }

        /* opacity project lines Dima Verner added with g-bar approximation */
        CoolDima();

        for( int coolcal = coolnum; coolcal < thermal.ncltot; coolcal++ )
                thermal.dima += thermal.cooling[coolcal];

        /* do external database lines */
        dBase_solve();
        
        /* Print number of levels for each species */
        {
                enum {DEBUG_LOC=false};
                if( DEBUG_LOC )
                {
                        static bool lgMustPrintHeader=true;
                        if( lgMustPrintHeader )
                        {
                                lgMustPrintHeader = false;
                                printf("DEBUG Levels\t%s",dBaseSpecies[0].chLabel );
                                for( long ipSpecies=1; ipSpecies<nSpecies; ipSpecies++ )
                                {
                                        printf("\t%s",dBaseSpecies[ipSpecies].chLabel );
                                }
                                printf("\n" );
                                printf("DEBUG Max\t%li" ,dBaseSpecies[0].numLevels_max );
                                for( long ipSpecies=1; ipSpecies<nSpecies; ipSpecies++ )
                                {
                                        printf( "\t%li" ,dBaseSpecies[ipSpecies].numLevels_max );
                                }
                                printf("\n");
                        }
                        printf("DEBUG Local\t%li" ,dBaseSpecies[0].numLevels_local );
                        for( long ipSpecies=1; ipSpecies<nSpecies; ipSpecies++ )
                        {
                                printf("\t%li" ,dBaseSpecies[ipSpecies].numLevels_local );
                        }
                        printf("\n");
                }
        }

        /* now add up all the coolants */
        CoolSum(tot);
        if( PRT_DERIV )
                fprintf(ioQQQ,"DEBUG dCdT 14 %.3e dHdT %.3e\n",thermal.dCooldT , thermal.dHeatdT);

        /* negative cooling */
        if( *tot <= 0. )
        {
                fprintf( ioQQQ, " COOLR; cooling is <=0, this is impossible.\n" );
                ShowMe();
                cdEXIT(EXIT_FAILURE);
        }

        /* bad derivative */
        if( thermal.dCooldT == 0. )
        {
                fprintf( ioQQQ, " COOLR; cooling slope <=0, this is impossible.\n" );
                if( *tot > 0. && dense.gas_phase[ipHYDROGEN] < 1e-4 )
                {
                        fprintf( ioQQQ, " Probably due to very low density.\n" );
                }
                ShowMe();
                cdEXIT(EXIT_FAILURE);
        }

        if( trace.lgTrace )
        {
                fndstr(*tot,thermal.dCooldT);
        }

        /* lgTSetOn true for constant temperature model */
        if( (((((!thermal.lgTemperatureConstant) && *tot < 0.) && called.lgTalk) && 
          !conv.lgSearch) && thermal.lgCNegChk) && nzone > 0 )
        {
                fprintf( ioQQQ, 
                        " NOTE Negative cooling, zone %4ld, =%10.2e coola=%10.2e CHION=%10.2e Te=%10.2e\n", 
                  nzone, 
                  *tot, 
                  iso_sp[ipH_LIKE][ipHYDROGEN].cLya_cool, 
                  iso_sp[ipH_LIKE][ipHYDROGEN].coll_ion, 
                  phycon.te );
                fndneg();
        }

        /* possibility of getting empirical cooling derivative
         * normally false, set true with 'set numerical derivatives' command */
        if( NumDeriv.lgNumDeriv )
        {
                if( ((nzone > 2 && nzone == nzSave) && ! fp_equal( oldtemp, phycon.te )) && nhit > 4 )
                {
                        /* hnit is number of tries on this zone - use to stop numerical problems
                         * do not evaluate numerical deriv until well into solution */
                        deriv = (oltcool - *tot)/(oldtemp - phycon.te);
                        thermal.dCooldT = deriv;
                }
                else
                {
                        deriv = thermal.dCooldT;
                }
                if( nzone != nzSave )
                        nhit = 0;

                nzSave = nzone;
                nhit += 1;
                oltcool = *tot;
                oldtemp = phycon.te;
        }
        return;
}

/*  */
#ifdef EPS
#       undef EPS
#endif
#define EPS     0.01

/*fndneg search cooling array to find negative values */
STATIC void fndneg(void)
{
        long int i;
        double trig;

        DEBUG_ENTRY( "fndneg()" );

        trig = fabs(thermal.htot*EPS);
        for( i=0; i < thermal.ncltot; i++ )
        {
                if( thermal.cooling[i] < 0. && fabs(thermal.cooling[i]) > trig )
                {
                        fprintf( ioQQQ, " negative line=%s %.2f fraction of heating=%.3f\n", 
                          thermal.chClntLab[i], thermal.collam[i], thermal.cooling[i]/
                          thermal.htot );
                }

                if( thermal.heatnt[i] > trig )
                {
                        fprintf( ioQQQ, " heating line=%s %.2f fraction of heating=%.3f\n", 
                          thermal.chClntLab[i], thermal.collam[i], thermal.heatnt[i]/
                          thermal.htot );
                }
        }
        return;
}

/*fndstr search cooling stack to find strongest values */
STATIC void fndstr(double tot, 
  double dc)
{
        char chStrngLab[NCOLNT_LAB_LEN+1];
        long int i;
        realnum wl;
        double str, 
          strong;

        DEBUG_ENTRY( "fndstr()" );

        strong = 0.;
        wl = -FLT_MAX;
        for( i=0; i < thermal.ncltot; i++ )
        {
                if( fabs(thermal.cooling[i]) > strong )
                {
                        /* this is the wavelength of the coolant, 0 for a continuum*/
                        wl = thermal.collam[i];
                        /* make sure labels are all valid*/
                        /*>>chng 06 jun 06, bug fix, assert length was ==4, should be <=NCOLNT_LAB_LEN */
                        ASSERT( strlen( thermal.chClntLab[i] ) <= NCOLNT_LAB_LEN );
                        strcpy( chStrngLab, thermal.chClntLab[i] );
                        strong = fabs(thermal.cooling[i]);
                }
        }

        str = strong;

        fprintf( ioQQQ, 
                "   fndstr cool: TE=%10.4e Ne=%10.4e C=%10.3e dC/dT=%10.2e ABS(%s %.1f)=%.2e nz=%ld\n", 
          phycon.te, dense.eden, tot, dc, chStrngLab
          , wl, str, nzone );

        /* option for extensive printout of lines */
        if( trace.lgCoolTr )
        {
                realnum ratio;

                /* flag all significant coolants, first zero out the array */
                coolpr(ioQQQ,(char*)thermal.chClntLab[0],1,0.,"ZERO");

                /* push all coolants onto the stack */
                for( i=0; i < thermal.ncltot; i++ )
                {
                        /* usually positive, although can be neg for coolants that heats, 
                         * only do positive here */
                        ratio = (realnum)(thermal.cooling[i]/thermal.ctot);
                        if( ratio >= EPS )
                        {
                                /*>>chng 99 jan 27, only cal when ratio is significant */
                                coolpr(ioQQQ,(char*)thermal.chClntLab[i],thermal.collam[i], ratio,"DOIT");
                        }
                }

                /* complete the printout for positive coolants */
                coolpr(ioQQQ,"DONE",1,0.,"DONE");

                /* now do cooling that was counted as a heat source if significant */
                if( thermal.heating[0][22]/thermal.ctot > 0.05 )
                {
                        fprintf( ioQQQ, 
                                "     All coolant heat greater than%6.2f%% of the total will be printed.\n", 
                          EPS*100. );

                        coolpr(ioQQQ,"ZERO",1,0.,"ZERO");
                        for( i=0; i < thermal.ncltot; i++ )
                        {
                                ratio = (realnum)(thermal.heatnt[i]/thermal.ctot);
                                if( fabs(ratio) >=EPS )
                                {
                                        coolpr(ioQQQ,(char*)thermal.chClntLab[i],thermal.collam[i],
                                          ratio,"DOIT");
                                }
                        }
                        coolpr(ioQQQ,"DONE",1,0.,"DONE");
                }
        }
        return;
}