epos-uti.f

CMSSW/GeneratorInterface/ReggeGribovPartonMCInterface/src/epos-uti.f

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3822 3823 3824 3825 3826 3827 3828 3829 3830 3831 3832 3833 3834 3835 3836 3837 3838 3839 3840 3841 3842 3843 3844 3845 3846 3847 3848 3849 3850 3851 3852 3853 3854 3855 3856 3857 3858 3859 3860 3861 3862 3863 3864 3865 3866 3867 3868 3869 3870 3871 3872 3873 3874 3875 3876 3877 3878 3879 3880 3881 3882 3883 3884 3885 3886 3887 3888 3889 3890 3891 3892 3893 3894 3895 3896 3897 3898	`c-----------------------------------------------------------------------` `subroutine utresc(iret)` `c-----------------------------------------------------------------------` `c if irescl=1 rescaling is done, otherwise the purpose of going through` `c this routine is to not change the seed in case of no rescaling` `c-----------------------------------------------------------------------` `include 'epos.inc'` `include 'epos.incems'` `double precision p1,esoll,ppp,seedp,psoll,pt1soll,pt2soll` `dimension p1(5),p2(4),p0(5,mamx+mamx),pini(mxptl)` `logical force,nolead(mxptl),lspec(mxptl),lim` `data scalmean/0./scalevt/0./` `save scalmean,scalevt` `call utpri('utresc',ish,ishini,4)` `errlim=0.005 !max(0.001,1./engy)` `if(iLHC.eq.1)errlim=max(0.00005,0.5/engy)` `iret=0` `nptlpt=iabs(maproj)+iabs(matarg)` `call ranfgt(seedp) !not to change the seed ...` `if(nptl.le.nptlpt) goto 9999` `if(ish.ge.8)then` `call alistf('list before boost&')` `endif` `esoll=0.d0` `psoll=0.d0` `p1(1)=0.d0` `p1(2)=0.d0` `p1(3)=0.d0` `p1(4)=0.d0` `p2(3)=0.d0` `p2(4)=0.d0` `ipmax=4` `imin=nptlpt+1` `if(iappl.eq.1)then` `imin=1` `ipmax=2` `if(iLHC.eq.1)ipmax=0` `endif` `c store projectile and target in p0 and sum pz an E in p1(3) and p1(4)` `do i=1,nptlpt` `nolead(i)=.false.` `do j=1,5` `p0(j,i)=dble(pptl(j,i))` `enddo` `c calculate total energy of primaries` `c if(mod(istptl(i),10).eq.1)then` `do j=ipmax+1,4` `p1(j)=p1(j)+dble(pptl(j,i))` `enddo` `c endif` `c calculate total energy of secondaries` `if(mod(istptl(i),10).eq.0)then` `do j=ipmax+1,4` `p2(j)=p2(j)+dble(pptl(j,i))` `enddo` `endif` `enddo` `c fix secondaries counted in the system` `do i=nptlpt+1,nptl` `if(mod(istptl(i),10).eq.0)then` `c check maximum energy` `if(iLHC.eq.1.and.pptl(4,i).gt.engy0.51)then` `if(ish.ge.1)write(ifch,)'Energy of particle too high !'` `& ,i,ityptl(i),pptl(4,i)` `c call utstop('utresc&')` `if(ityptl(i).eq.48.or.ityptl(i).eq.58 !diffractive resonance` `& .or.ityptl(i).eq.47.or.ityptl(i).eq.57)then !active spectators` `pptl(4,i)=0.5engy` `amt=sqrt(pptl(1,i)2+pptl(2,i)2+pptl(5,i)2)` `pptl(3,i)=(pptl(4,i)+amt)(pptl(4,i)-amt)` `if(pptl(3,i).gt.0.)then` `pptl(3,i)=sqrt(pptl(3,i))` `else` `iret=1` `endif` `else` `iret=1` `endif` `if(iret.eq.1)then` `if(ish.ge.1)write(ifch,)'Warning in utresc: redo event...'` `c call utstop('Energy of particle too high !&')` `goto 9999` `endif` `endif` `c fix pt (p1(1) and p2(1)) from secondaries` `do j=1,ipmax` `p1(j)=p1(j)+dble(pptl(j,i))` `enddo` `c calculate total energy of secondaries` `do j=ipmax+1,4` `p2(j)=p2(j)+dble(pptl(j,i))` `enddo` `lspec(i)=.false.` `if(((ityptl(i).eq.45.or.ityptl(i).eq.48).and.maproj.ge.100)` `& .or.((ityptl(i).eq.55.or.ityptl(i).eq.58).and.matarg.ge.100))` `& lspec(i)=.true.` `if((abs(pptl(3,i)/pnullx).le.0.9` `& .and.abs(pptl(3,i)).gt.pptl(5,i)).or.lspec(i))then` `nolead(i)=.true.` `c write(ifch,)'nolead',i` `else` `nolead(i)=.false.` `c write(ifch,)'lead',i` `endif` `endif` `enddo` `psoll=max(dble(pnullx),abs(p1(3)))` `c check if energy is conserved before boost` `if(iappl.eq.1)then` `diff=abs(p2(3)-p1(3))` `scal=p2(4)/p1(4)` `if(abs(scal-1.).le.errlim.and.abs(diff/psoll).lt.errlim` `& .and.(iLHC.eq.0.or.` `& (abs(p2(1)).lt.errlim.and.abs(p2(2)).lt.errlim)))then` `if(ish.ge.4)` `& write (ifch,'(2x,a,2g14.6)') 'Energy OK: ',scal,abs(diff/psoll)` `goto 9999` `else` `diff=0.` `scal=1.` `endif` `endif` `c calculate boost vector to have sum of pt=0 and sum of pz=0` `ppp=(p1(4)+p1(3))(p1(4)-p1(3))-p1(2)p1(2)-p1(1)p1(1)` `if(ppp.gt.0.d0)then` `p1(5)=sqrt(ppp)` `else` `iret=1` `write(ifch,)'p1',p1(1),p1(2),p1(3),p1(4),ppp` `if(ish.ge.2)write (ifch,) 'Problem in utresc (1): redo event'` `write (ifmt,) 'Problem in utresc (1): redo event'` `c call utstop('utresc&')` `goto 9999` `endif` `esoll=p1(5)` `if(ish.ge.4) write (ifch,'(a,5g14.6)') 'boost-vector: ',p1` `c trafo` `c -----` `pmax=0.d0` `npart=0` `pt1soll=0.d0` `pt2soll=0.d0` `do i=imin,nptl` `if(mod(istptl(i),10).le.1)then` `call utlob4(1,p1(1),p1(2),p1(3),p1(4),p1(5)` `$ ,pptl(1,i),pptl(2,i),pptl(3,i),pptl(4,i))` `if(mod(istptl(i),10).eq.0.and.i.gt.nptlpt)then` `npart=npart+1` `pt1soll=pt1soll+dble(pptl(1,i))` `pt2soll=pt2soll+dble(pptl(2,i))` `endif` `endif` `if(i.gt.nptlpt.and.nolead(i))pmax=max(pmax,abs(pptl(3,i)))` `enddo` `if(ish.ge.6)then` `call alistf('list after boost&')` `endif` `if(ish.ge.5)write(ifch,'(a)')'--------rescale momenta----------'` `if(iLHC.eq.1)then` `if(ish.ge.6)write(ifch,)'ptsoll:',pt1soll,pt2soll,npart` `pt1soll=pt1soll/dble(npart)` `pt2soll=pt2soll/dble(npart)` `do i=nptlpt+1,nptl` `if(mod(istptl(i),10).eq.0)then` `pptl(1,i)=pptl(1,i)-sngl(pt1soll)` `pptl(2,i)=pptl(2,i)-sngl(pt2soll)` `pptl(4,i)=sqrt(pptl(1,i)2+pptl(2,i)2` `& +pptl(3,i)2+pptl(5,i)2)` `endif` `enddo` `endif` `if(ish.ge.6)write(ifch,)'esoll,psoll,pmax:',esoll,psoll,pmax` `c rescale momenta in rest frame` `c -----------------------------` `scal=1.` `diff0=0.` `c ndif0=1` `ferr=0.05` `force=.false.` `npart=nptl-imin+1` `do ipass=1,300` `sum=0.` `sum3=0.` `difft=diff0` `ndif=0` `nfirst=int(rangen()float(npart)) !start list randomly` `do i=0,npart-1` `j=imin+i+nfirst` `if(j.gt.nptl)j=imin+i+nfirst-npart` `if(mod(istptl(j),10).eq.0)then` `c modified particles` `if(nolead(j))then` `c if(j.gt.nptlpt)then` `c if(abs(pptl(3,j))/pnullx.lt.0.9)then !not spectator or diffraction` `if(scal.eq.1..and.abs(diff0).lt.1.e-6)then` `ndif=ndif+1` `pini(j)=pptl(3,j)` `else` `pptl3new=0.` `if( force .or.(` `& ityptl(j)/10.eq.4.or.ityptl(j)/10.eq.5` `& ))then !try just remnant first` `ndif=ndif+1` `diff=sign(min(0.3abs(pini(j)),` `& rangen()abs(difft)),difft)` `pptl3new=scal(pptl(3,j)-diff)` `c write(ifch,)'par',j,pptl3new,pptl(3,j),diff,difft` `c & ,ndif,pmax,scal` `if(abs(pptl3new).lt.pmax)then` `c particle should not be too fast or too modified` `if(abs(pptl3new-pini(j)).lt.ferrabs(pini(j))` `& .or.(lspec(j).and.abs(pptl3new).lt.abs(0.8pini(j))))then` `c write(ifch,)'used'` `difft=difft-diff` `pptl(3,j)=scal(pptl(3,j)-diff)` `pptl(4,j)=sqrt(pptl(1,j)2+pptl(2,j)2` `* +pptl(3,j)2+pptl(5,j)2)` `endif` `endif` `endif` `endif` `endif` `c sum over all particles` `sum=sum+pptl(4,j)` `sum3=sum3+pptl(3,j)` `endif` `enddo` `diff=sum3` `scal=sngl(esoll)/(sum-diff)` `if(ish.ge.6)write(ifch,)` `$ 'ipass,scal,diff/psoll,e,pz,ndif,f:'` `$ ,ipass,scal,diff/psoll,sum,sum3,ndif,force` `if(abs(scal-1.).le.errlim.and.abs(diff/psoll).lt.errlim)` `$ goto 300` `if(ndif.gt.0.and.(force.or.ipass.lt.150))then` `c ndif0=ndif` `diff0=diff` `elseif(abs(scal-1.).le.1e-2.and.abs(diff/psoll).lt.5e-2` `& .and.iLHC.eq.0)then` `goto 300` `elseif(force)then` `if(ish.ge.2)` `$ write(ifmt,)'Warning in utresc: no more allowed particle'` `goto 302` `else` `force=.true.` `ferr=0.1` `diff=0.` `endif` `enddo` `302 if(iLHC.eq.1)then` `lim=.not.(abs(scal-1.).le.errlim.and.abs(diff/psoll).lt.errlim)` `else` `lim=abs(scal)+abs(diff/psoll).gt.2.5` `endif` `if(ish.ge.1)then` `call utmsg('utrescl')` `write(ifch,)'**** scal=',scal,diff/psoll,lim` `call utmsgf` `endif` `if(lim)then` `if(ish.ge.1)then` `write(ifmt,)'Warning in utresc !'` `write(ifch,'(a,i10,d25.15)')'redo EPOS event ...'` `& ,nint(seedj),seedc` `endif` `iret=1` `goto 9999` `endif` `c trafo` `c -----` `300 continue` `do i=1,nptl` `if(i.le.nptlpt)then` `do j=1,5` `pptl(j,i)=p0(j,i)` `enddo` `else` `if(mod(istptl(i),10).le.1)then` `call utlob4(-1,p1(1),p1(2),p1(3),p1(4),p1(5)` `$ ,pptl(1,i),pptl(2,i),pptl(3,i),pptl(4,i))` `endif` `endif` `enddo` `if(ish.ge.4)call alist('list after rescaling&',1,nptl)` `9999 continue` `if(ish.ge.2)then` `scalevt=scalevt+1.` `scalmean=scalmean+scal` `write(ifch,)' average rescaling factor: ',scalmean` `& /scalevt` `endif` `call ranfst(seedp) ! ... after this subroutine` `call utprix('utresc',ish,ishini,4)` `end` `c-----------------------------------------------------------------------` `subroutine utghost(iret)` `c-----------------------------------------------------------------------` `c if irescl=1 make particle on-shell if not` `c-----------------------------------------------------------------------` `include 'epos.inc'` `include 'epos.incems'` `double precision seedp` `call utpri('ughost',ish,ishini,4)` `iret=0` `nptlpt=iabs(maproj)+iabs(matarg)` `if(iappl.eq.6.or.iappl.eq.8)nptlpt=3 ! ee or DIS` `call ranfgt(seedp) !not to change the seed ...` `if(nptl.le.nptlpt) goto 9999` `if(ish.ge.5)write(ifch,'(a)')'---------mark ghosts---------'` `c mark ghosts` `c -----------` `do j=nptlpt+1,nptl` `if(istptl(j).le.1.and.pptl(4,j).gt.0.d0)then` `if(iLHC.eq.0.or.mod(abs(idptl(j)),10).le.1)then !for LHC tune don't fix mass of resonnances (to keep width)` `amass=pptl(5,j)` `call idmass(idptl(j),amass)` `if(abs(idptl(j)).gt.100.and.` `& abs(pptl(5,j)-amass).gt.0.01amass)then` `if(ish.ge.5)write(ifch,)'wrong particle mass',j,idptl(j)` `& ,pptl(5,j),amass` `amass=pptl(5,j)` `call idres(idptl(j),amass,idr,iadj)` `if(idr.ne.0)then` `pptl(5,j)=amass` `idptl(j)=idr` `else` `call idmass(idptl(j),amass)` `pptl(5,j)=amass` `endif` `call idtau(idptl(j),pptl(4,j),pptl(5,j),taugm)` `tivptl(2,j)=tivptl(1,j)+taugm(-alog(rangen()))` `else` `pptl(5,j)=amass` `endif` `endif` `if(abs((pptl(4,j)+pptl(3,j))(pptl(4,j)-pptl(3,j))` `$ -pptl(2,j)2-pptl(1,j)2-pptl(5,j)*2).gt.0.3` `$ .and.abs(1.-abs(pptl(3,j))/pptl(4,j)).gt.0.01)then` `!print,'ghost',ityptl(j),idptl(j)` `if(ish.ge.1)write(ifmt,)'ghost:',j,idptl(j),ityptl(j)` `if(ish.ge.5)then` `write(ifch,'(a,$)')'ghost:'` `call alistc("&",j,j)` `endif` `ityptl(j)=100+ityptl(j)/10` `elseif(irescl.ge.1)then` `c ensure that all particles are really on-shell` `pptl(4,j)=sqrt(pptl(1,j)2+pptl(2,j)2` ` +pptl(3,j)2+pptl(5,j)2)` `endif` `elseif(mod(istptl(j),10).eq.0)then` `c if not droplet with fusion` `if(istptl(j).ne.10.or.iorsdf.ne.3)then` `if(ish.ge.1)then` `write(ifmt,)'Lost particle (E=0)'` `write(ifch,)'Lost particle (E=0) :'` `call alistc("utghost&",j,j)` `endif` `istptl(j)=istptl(j)+2` `endif` `endif` `enddo` `if(ish.ge.5)write(ifch,'(a)')'---------treat ghosts---------'` `c treat ghosts` `c ------------` `ifirst=1` `scal=1.` `pfif=0.` `efif=0.` `ntry=0` `132 nfif=0` `psum=0` `esum=0.` `ntry=ntry+1` `do j=nptlpt+1,nptl` `if(mod(istptl(j),10).eq.0)then` `if(ityptl(j).gt.100)then` `nfif=nfif+1` `if(ifirst.eq.1)then` `pfif=pfif+pptl(3,j)` `if(pptl(4,j).gt.0.)efif=efif+pptl(4,j)` `endif` `if(irescl.ge.1) then` `if(ifirst.gt.1)then` `if(pptl(4,j).gt.0.)then` `Einv=1./pptl(4,j)` `amt=1.-(pptl(5,j)Einv)2+(pptl(1,j)Einv)*2` `$ +(pptl(2,j)Einv)*2` `else` `amt=-1.` `endif` `if(amt.gt.0.)then` `pptl(3,j)=sign(pptl(4,j),pptl(3,j))sqrt(amt)` `else` `y=(rangen()+rangen()+rangen()+rangen()-2.)/2.yhaha` `y=sign(abs(y),pptl(3,j))` `pptl(3,j)` `$ =sqrt(pptl(5,j)2+pptl(1,j)2` `$ +pptl(2,j)2)sinh(y)` `pptl(4,j)` `$ =sqrt(pptl(5,j)2+pptl(1,j)2` `$ +pptl(2,j)*2)cosh(y)` `efif=efif+pptl(4,j)` `endif` `ifirst=0` `else` `c do k=1,3` `do k=3,3` `pptl(k,j)=pptl(k,j)scal` `enddo` `pptl(4,j)=sqrt(pptl(1,j)2+pptl(2,j)2+pptl(3,j)2` ` +pptl(5,j)*2)` `endif` `endif` `psum=psum+pptl(3,j)` `esum=esum+pptl(4,j)` `if(ish.ge.5)` `$ write (ifch,) 'nrevt,psum,esum,pfif,efif,nfif,scal'` `$ ,nrevt,psum,esum,pfif,efif,nfif,scal` `endif` `endif` `enddo` `if ( ish.ge.5 ) write (ifch,) 'tot',nfif,efif,pfif,esum,psum` `if(nfif.gt.5.or.(esum.gt.0.05engy.and.nfif.ne.1))then` `if(ifirst.eq.0)then` `do j=nptlpt+1,nptl` `if ( ityptl(j).ge.101 .and. ityptl(j).le.105 )then` `if((psum-pfif)(1.-scal).ge.0)` `& pptl(3,j)=pptl(3,j)-(psum-pfif)/nfif` `endif` `enddo` `else` `ifirst=2` `goto 132` `endif` `scal=efif/esum` `if ( ish.ge.5 ) write (ifch,) 'scal',scal` `if ( abs(scal-1.) .gt. 0.05 ) then` `if(ntry.le.1000)then` `goto 132` `else` `iret=1` `if(ish.ge.2)write (ifch,) 'Problem in utghost : redo event'` `if(ish.ge.1)write (ifmt,) 'Problem in utghost : redo event'` `goto 9999` `endif` `endif` `else` `do j=nptlpt+1,nptl` `if ( ityptl(j).ge.101 .and. ityptl(j).le.105 )then` `pptl(4,j)=sqrt(pptl(1,j)2+pptl(2,j)2+pptl(3,j)*2` ` +pptl(5,j)*2)` `endif` `enddo` `endif` `if(ish.ge.5)write(ifch,'(a)')'---------Check Ghost list---------'` `c Check Ghost list` `if(ish.ge.5)then` `do j=nptlpt+1,nptl` `if(mod(istptl(j),10).eq.0)then` `if(ityptl(j).le.105.and.ityptl(j).ge.101)then` `write(ifch,'(a,$)')'ghost:'` `call alistc("&",j,j)` `endif` `endif` `enddo` `endif` `9999 continue` `call ranfst(seedp) ! ... after this subroutine` `call utprix('ughost',ish,ishini,4)` `end` `c-----------------------------------------------------------------------` `subroutine utrsph(iret)` `c-----------------------------------------------------------------------` `c if irescl=1 and ispherio=1 rescaling is done for particle used by` `c spherio as initial condition.` `c-----------------------------------------------------------------------` `include 'epos.inc'` `include 'epos.incems'` `double precision p1,esoll` `dimension p1(5),p0(5,mamx+mamx)` `call utpri('utrsph',ish,ishini,4)` `errlim=0.0001` `iret=0` `nptlpt=iabs(maproj)+iabs(matarg)` `if(nptl.le.nptlpt) goto 9999` `esoll=0.d0` `p1(1)=0.d0` `p1(2)=0.d0` `p1(3)=0.d0` `p1(4)=0.d0` `do i=nptlpt+1,nptl` `if((istptl(i).le.11` `$ .and.(iorptl(i).ge.1.and.istptl(iorptl(i)).eq.41))` `$ .or.istptl(i).eq.20.or.istptl(i).eq.21)then` `do j=1,2` `p1(j)=p1(j)+dble(pptl(j,i))` `enddo` `endif` `enddo` `do i=1,nptlpt` `do j=1,5` `p0(j,i)=pptl(j,i)` `enddo` `do j=3,4` `p1(j)=p1(j)+dble(pptl(j,i))` `enddo` `enddo` `p1(5)=dsqrt((p1(4)+p1(3))(p1(4)-p1(3))-p1(2)2.d0-p1(1)2.d0)` `esoll=p1(5)` `if(ish.ge.4) write (ifch,'(a,5g13.6)') 'boost-vector',p1` `c trafo` `c -----` `do i=1,nptl` `if((istptl(i).le.11` `$ .and.(iorptl(i).ge.1.and.istptl(iorptl(i)).eq.41))` `$ .or.istptl(i).eq.20.or.istptl(i).eq.21` `$ .or.(istptl(i).eq.0.and.i.le.nptlpt))then` `call utlob4(1,p1(1),p1(2),p1(3),p1(4),p1(5)` `$ ,pptl(1,i),pptl(2,i),pptl(3,i),pptl(4,i))` `endif` `enddo` `if(ish.ge.5)write(ifch,'(a)')'------------------'` `c rescale momenta in rest frame` `c -----------------------------` `scal=1.` `diff=0.` `do ipass=1,1000` `sum=0.` `sum3=0.` `ndif=0` `do j=1,nptl` `if((istptl(j).le.11` `$ .and.(iorptl(j).ge.1.and.istptl(iorptl(j)).eq.41))` `$ .or.istptl(j).eq.20.or.istptl(j).eq.21` `$ .or.(istptl(j).eq.0.and.j.le.nptlpt))then` `if(j.gt.nptlpt)then` `ndif=ndif+1` `pptl(3,j)=scal(pptl(3,j)-diff)` `pptl(4,j)=sqrt(pptl(1,j)2+pptl(2,j)2+pptl(3,j)2` ` +pptl(5,j)*2)` `endif` `sum=sum+pptl(4,j)` `sum3=sum3+pptl(3,j)` `endif` `enddo` `diff=sum3/real(ndif)` `scal=real(esoll)/sum` `if(ish.ge.6)write(ifch,)'ipass,scal,diff,e,esoll,pz,ndif:'` `$ ,ipass,scal,diff,sum,esoll,sum3,ndif` `if(abs(scal-1.).le.errlim.and.abs(diff).lt.10.errlim) goto300` `enddo` `if(ish.ge.1)then` `call utmsg('hresph')` `write(ifch,)'***** scal=',scal,diff` `call utmsgf` `endif` `c trafo` `c -----` `300 continue` `c do i=nptlpt+1,nptl` `do i=1,nptl` `if((istptl(i).le.11` `$ .and.(iorptl(i).ge.1.and.istptl(iorptl(i)).eq.41))` `$ .or.istptl(i).eq.20.or.istptl(i).eq.21` `$ .or.(istptl(i).eq.0.and.i.le.nptlpt))then` `call utlob4(-1,p1(1),p1(2),p1(3),p1(4),p1(5)` `$ ,pptl(1,i),pptl(2,i),pptl(3,i),pptl(4,i))` `endif` `if(i.le.nptlpt)then` `do j=1,5` `pptl(j,i)=p0(j,i)` `enddo` `endif` `enddo` `9999 call utprix('utrsph',ish,ishini,4)` `end` `cc-----------------------------------------------------------------------` `c double precision function dddlog(xxx)` `cc-----------------------------------------------------------------------` `c double precision xxx` `c dddlog=-1d50` `c if(xxx.gt.0d0)dddlog=dlog(xxx)` `c end` `c` `ccc-----------------------------------------------------------------------` `c subroutine randfl(jc,iqa0,iflav,ic,isame)` `cc-----------------------------------------------------------------------` `cc returns random flavour ic(2) (iqa0=1:quark,2:antiquark,11:diquark)` `cc-----------------------------------------------------------------------` `c include 'epos.inc'` `c real probab(nflav),probsu(nflav+1)` `c integer jc(nflav,2),jc0(nflav,2),ic(2)` `c if(ish.ge.6)then` `c write(ifch,)('-',i=1,10)` `c ,' entry sr randfl ',('-',i=1,30)` `c write(ifch,)'iqa0:',iqa0` `c write(ifch,)'jc:'` `c write(ifch,)jc` `c endif` `c iflav=0` `c ic(1)=0` `c ic(2)=0` `c do 10 n=1,nflav` `c do 10 i=1,2` `c10 jc0(n,i)=0` `c iqa1=iqa010` `c9999 iqa1=iqa1/10` `c if(iqa1.eq.0)goto9998` `c iqa=mod(iqa1,10)` `c su=0` `c do 20 i=1,nflav` `c probab(i)=jc(i,iqa)-jc0(i,iqa)` `c if(isame.eq.1)probab(i)=probab(i)(jc(i,3-iqa)-jc0(i,3-iqa))` `c20 su=su+probab(i)` `c if(su.lt..5)then` `c iflav=0` `c ic(1)=0` `c ic(2)=0` `c goto9998` `c endif` `c probsu(1)=0.` `c do 30 i=1,nflav` `c probsu(i+1)=probsu(i)+probab(i)/su` `c if(probsu(i+1)-probsu(i).lt.1e-5)probsu(i+1)=probsu(i)` `c30 continue` `c r=rangen()probsu(nflav+1)` `c do 50 i=1,nflav` `c if(probsu(i).le.r.and.r.lt.probsu(i+1))iflav=i` `c50 continue` `c jc0(iflav,iqa)=jc0(iflav,iqa)+1` `c if(isame.eq.1)jc0(iflav,3-iqa)=jc0(iflav,3-iqa)+1` `c call idenco(jc0,ic,ireten)` `c if(ireten.eq.1)call utstop('randfl: idenco ret code = 1&')` `c if(ish.ge.6)then` `c write(ifch,)'probab:'` `c write(ifch,)probab` `c write(ifch,)'probsu:'` `c write(ifch,)probsu` `c write(ifch,)'ran#:',r,' flav:',iflav` `c endif` `c goto9999` `c9998 continue` `c if(ish.ge.6)write(ifch,)('-',i=1,30)` `c ,' exit sr randfl ',('-',i=1,10)` `c return` `c end` `c` `c` `cc-----------------------------------------------------------------------` `c subroutine ranhvy(x,eps)` `cc-----------------------------------------------------------------------` `cc generates x for heavy particle fragmentation according to` `cc the peterson form` `cc d(x)=1/(x(1-1/x-eps/(1-x))*2)` `cc =d0(x)d1(x)d2(x)` `cc d0(x)=(1-x)2/((1-x)2+eps)2` `cc d1(x)=x` `cc d2(x)=(((1-x)2+eps)/((1-x)2+epsx))2` `cc using x=1-ypow` `cc generates flat in x if eps>1.` `cc-----------------------------------------------------------------------` `c data aln4/1.3863/` `c if(eps.lt.1.) then` `c pow=alog((3.+eps)/eps)/aln4` `c ymx=(eps(3.pow-1.)/(pow+1.))(.5/pow)` `c zmx=1-ymxpow` `c d0mx=(1-zmx)2/((1.-zmx)2+eps)*2powymx(pow-1.)` `c d2mx=2./(2.-sqrt(eps))` `c else` `c pow=1.` `c zmx=0.` `c d0mx=(1.-zmx)2/((1.-zmx)2+eps)2` `c d2mx=1.+eps` `c endif` `cc` `cc generate z according to (1-z)2/((1-z)2+epsz)2` `c1 continue` `c y=rangen()` `c z=1.-ypow` `cc` `c d0z=(1.-z)2/((1.-z)2+eps)*2powy(pow-1.)` `c if(d0z.lt.rangen()d0mx) goto1` `cc` `cc check remaining factors` `c d1=z` `c d2=(((1.-z)2+eps)/((1.-z)2+epsz))2` `c if(d1d2.lt.rangen()d2mx) goto1` `cc` `cc good x` `c x=z` `c return` `c end` `c` `-- Author : D. HECK IK FZK KARLSRUHE 27/04/1994` `C=======================================================================` `SUBROUTINE EPOVAPOR( MAPRO,INEW,JFIN,ITYP,PFRX,PFRY,PFRZ )` `C-----------------------------------------------------------------------` `C (E)VAPOR(ATION OF NUCLEONS AND ALPHA PARTICLES FROM FRAGMENT)` `C` `C TREATES THE REMAINING UNFRAGMENTED NUCLEUS` `C EVAPORATION FOLLOWING CAMPI APPROXIMATION.` `C SEE: X. CAMPI AND J. HUEFNER, PHYS.REV. C24 (1981) 2199` `C AND J.J. GAIMARD, THESE UNIVERSITE PARIS 7, (1990)` `C THIS SUBROUTINE IS CALLED FROM SDPM, DPMJST, NSTORE, AND VSTORE.` `C ARGUMENTS INPUT:` `C MAPRO = NUMBER OF NUCLEONS OF PROJECTILE` `C INEW = PARTICLE TYPE OF SPECTATOR FRAGMENT` `C ARGUMENTS OUTPUT:` `C JFIN = NUMBER OF FRAGMENTS` `C ITYP(1:JFIN) = NATURE (PARTICLE CODE) OF FRAGMENTS` `C PFRX(1:JFIN) = TRANSVERSE MOMENTUM OF FRAGMENTS IN X-DIRECTION` `C PFRY(1:JFIN) = TRANSVERSE MOMENTUM OF FRAGMENTS IN Y-DIRECTION` `C PFRZ(1:JFIN) = LONGITUDINAL MOMENTUM OF FRAGMENTS IN Z-DIRECTION` `C` `C FROM CORSIKA AND ADAPTED BY T. PIEROG TO INCLUDE LONG MOMENTUM AND` `C MORE REALISTIC FRAGMENTS` `C-----------------------------------------------------------------------` `IMPLICIT NONE` `include 'epos.inc'` `common/eporansto2/irndmseq` `integer irndmseq` `DOUBLE PRECISION PFR(mamxx),PFRX(mamxx),PFRY(mamxx),PFRZ(mamxx)` `* ,RD(2mamxx),SPFRY,SPFRZ,drangen` `DOUBLE PRECISION AFIN,AGLH,APRF,BGLH,EEX,PHIFR,RANNORM,SPFRX` `INTEGER ITYP(mamxx),IARM,INEW,ITYPRM,INRM,IS,IZRM,JC,lseq` ` ,JFIN,K,L,LS,MAPRO,MF,NFIN,NINTA,NNUC,NPRF,NNSTEP` `SAVE` `EXTERNAL RANNORM` `C-----------------------------------------------------------------------` `IF(ish.ge.7)WRITE(ifch,)'EPOVAPOR : MAPRO,INEW=',MAPRO,INEW` `lseq = irndmseq` `ITYPRM = INEW` `NPRF = INEW/100` `NINTA = MAPRO - NPRF` `IF ( NINTA .EQ. 0 ) THEN` `C NO NUCLEON HAS INTERACTED` `JFIN = 1` `PFRX(1) = 0.D0` `PFRY(1) = 0.D0` `PFRZ(1) = 0.D0` `ITYP(1) = -ITYPRM` `IF(ish.ge.7)WRITE(ifch,) 'EPOVAPOR : JFIN,NINTA=',JFIN,NINTA` `RETURN` `ENDIF` `C EXCITATION ENERGY EEX OF PREFRAGMENT` `C SEE: J.J. GAIMARD, THESE UNIVERSITE PARIS 7, (1990), CHPT. 4.2` `EEX = 0.D0` `CALL RMMARD( RD,2NINTA,lseq )` `DO L = 1, NINTA` `IF ( RD(NINTA+L) .LT. RD(L) ) RD(L) = 1.D0 - RD(L)` `EEX = EEX + RD(L)` `ENDDO` `C DEPTH OF WOODS-SAXON POTENTIAL TO FERMI SURFACE IS 0.040 GEV` `IF(ish.ge.7)WRITE(ifch,)'EPOVAPOR : EEX=',SNGL(EEX0.04D0),` `& ' GEV'` `C EVAPORATION: EACH EVAPORATION STEP NEEDS ABOUT 0.020 GEV, THEREFORE` `C NNSTEP IS EEX 0.04/0.02 = EEX * 2.` `NNSTEP = INT( EEX2.D0 )` `IF ( NNSTEP .LE. 0 ) THEN` `C EXCITATION ENERGY TOO SMALL, NO EVAPORATION` `JFIN = 1` `PFRX(1) = 0.D0` `PFRY(1) = 0.D0` `PFRZ(1) = 0.D0` `ITYP(1) = -ITYPRM` `IF(ish.ge.7)WRITE(ifch,) 'EPOVAPOR : JFIN,EEX=',JFIN,SNGL(EEX)` `RETURN` `ENDIF` `C AFIN IS ATOMIC NUMBER OF FINAL NUCLEUS` `APRF = DBLE(NPRF)` `AFIN = APRF - 1.6D0 * DBLE(NNSTEP)` `NFIN = MAX( 0, INT( AFIN+0.5D0 ) )` `C CORRESPONDS TO DEFINITION; FRAGMENTATION-EVAPORATION` `C CONVOLUTION EMU07 /MODEL ABRASION EVAPORATION (JNC FZK APRIL 94)` `C NNUC IS NUMBER OF EVAPORATING NUCLEONS` `NNUC = NPRF - NFIN` `IF(ish.ge.7)WRITE(ifch,) 'EPOVAPOR : NFIN,NNUC=',NFIN,NNUC` `JC = 0` `IF ( NNUC .LE. 0 ) THEN` `C NO EVAPORATION` `JFIN = 1` `PFRX(1) = 0.D0` `PFRY(1) = 0.D0` `PFRZ(1) = 0.D0` `ITYP(1) = -ITYPRM` `RETURN` `ELSEIF ( NNUC .GE. 4 ) THEN` `C EVAPORATION WITH FORMATION OF ALPHA PARTICLES POSSIBLE` `C IARM, IZRM, INRM ARE NUMBER OF NUCLEONS, PROTONS, NEUTRONS OF` `C REMAINDER` `DO LS = 1, NNSTEP` `IARM = ITYPRM/100` `IF ( IARM .LE. 0 ) GOTO 100` `IZRM = MOD(ITYPRM,100)` `INRM = IARM - IZRM` `JC = JC + 1` `CALL RMMARD( RD,2,lseq )` `IF ( RD(1) .LT. 0.2D0 .AND. IZRM .GE. 2` ` .AND. INRM .GE. 2 ) THEN` `ITYP(JC) = -402 !alpha` `NNUC = NNUC - 4` `ITYPRM = ITYPRM - 402` `ELSE` `IF ( IZRM .EQ. 1 .AND. INRM .GT. IZRM ) THEN` `ITYP(JC) = 1220` `ITYPRM = ITYPRM - 100` `ELSEIF ( INRM .EQ. 1 .AND. IZRM .GT. INRM ) THEN` `ITYP(JC) = 1120` `ITYPRM = ITYPRM - 101` `ELSEIF(RD(2)(IZRM+INRM).LT.IZRM.AND.IZRM.GE.INRM)THEN` `ITYP(JC) = 1120` `ITYPRM = ITYPRM - 101` `ELSE` `ITYP(JC) = 1220` `ITYPRM = ITYPRM - 100` `ENDIF` `NNUC = NNUC - 1` `ENDIF` `IF ( NNUC .LE. 0 ) GOTO 50` `ENDDO` `ENDIF` `IF ( NNUC .LT. 4 ) THEN` `C EVAPORATION WITHOUT FORMATION OF ALPHA PARTICLES` `CALL RMMARD( RD,NNUC,lseq )` `DO IS = 1, NNUC` `IARM = ITYPRM/100` `IF ( IARM .LE. 0 ) GOTO 100` `IZRM = MOD(ITYPRM,100)` `INRM = IARM - IZRM` `JC = JC + 1` `IF ( IZRM .EQ. 1 .AND. INRM .GT. IZRM ) THEN` `ITYP(JC) = 1220` `ITYPRM = ITYPRM - 100` `ELSEIF ( INRM .EQ. 1 .AND. IZRM .GT. IZRM ) THEN` `ITYP(JC) = 1120` `ITYPRM = ITYPRM - 101` `ELSEIF ( RD(IS)IARM .LT. IZRM .AND. IZRM .GE. INRM ) THEN` `ITYP(JC) = 1120` `ITYPRM = ITYPRM - 101` `ELSE` `ITYP(JC) = 1220` `ITYPRM = ITYPRM - 100` `ENDIF` `ENDDO` `ENDIF` `50 CONTINUE` `IARM = ITYPRM/100` `IF ( IARM .LE. 0 ) GOTO 100` `IZRM = MOD(ITYPRM,100)` `INRM = IARM - IZRM` `JC = JC + 1` `IF ( IARM .EQ. 5 ) THEN !EXCLUDED` `IF ( IZRM .GE. INRM ) THEN` `ITYP(JC) = 1120` `ITYPRM = ITYPRM - 101` `ELSE` `ITYP(JC) = 1220` `ITYPRM = ITYPRM - 100` `ENDIF` `JC = JC + 1` `ITYP(JC) = -ITYPRM` `ELSEIF ( ITYPRM .GT. 200 ) THEN` `ITYP(JC) = -ITYPRM` `ELSEIF ( ITYPRM .EQ. 200 ) THEN` `ITYP(JC) = 1220` `JC = JC + 1` `ITYP(JC) = 1220` `ELSEIF ( ITYPRM .EQ. 101 ) THEN` `ITYP(JC) = 1120` `ELSEIF ( ITYPRM .EQ. 100 ) THEN` `ITYP(JC) = 1220` `ELSE` `JC = JC - 1` `IF ( ITYPRM .NE. 0 ) WRITE(,)` `* 'EPOVAPOR : ILLEGAL PARTICLE ITYPRM =',ITYPRM` `ENDIF` `100 CONTINUE` `JFIN = JC` `IF(ish.ge.7)WRITE(ifch,)` ` 'EPOVAPOR : NO ITYP PFR PFL'` `IF ( infragm .EQ. 2 ) THEN` `C EVAPORATION WITH PT AFTER PARAMETRIZED JACEE DATA` `DO MF = 1, JFIN` `IF(ITYP(MF).LT.0)THEN` `IARM=-ITYP(MF)/100` `ELSE` `IARM=1` `ENDIF` `PFR(MF) = RANNORM(0.088D0,0.044D0)` `PFRZ(MF)= (2int(drangen(PFR(MF))+0.5d0)-1)` `& RANNORM(0.300D0/DBLE(IARM),0.100D0/SQRT(DBLE(IARM))) !Fermi motion about 300 MeV` `IF(ish.ge.7)WRITE(ifch,) MF,ITYP(MF),SNGL(PFR(MF))` `& ,SNGL(PFRZ(MF))` `ENDDO` `ELSEIF ( infragm .EQ. 3 ) THEN` `C EVAPORATION WITH PT AFTER GOLDHABER''S MODEL (PHYS.LETT.53B(1974)306)` `DO MF = 1, JFIN` `K = MAX( 1, -ITYP(MF)/100 )` `BGLH = K (MAPRO - K) / DBLE(MAPRO-1)` `C THE VALUE 0.103 [GEV] IS SIGMA(0)=P(FERMI)/SQRT(5.)` `* AGLH = 0.103D0 * SQRT( BGLH )` `C THE VALUE 0.090 [GEV] IS EXPERIMENTALLY DETERMINED SIGMA(0)` `AGLH = 0.090D0 * SQRT( BGLH )` `PFR(MF) = RANNORM(0.D0,AGLH)` `PFRZ(MF)= RANNORM(0.000D0,0.500D0) !from pAg at 100 GeV` `IF(ish.ge.7)WRITE(ifch,) MF,ITYP(MF),SNGL(PFR(MF))` `& ,SNGL(PFRZ(MF))` `ENDDO` `ELSE` `C EVAPORATION WITHOUT TRANSVERSE MOMENTUM` `DO MF = 1, JFIN` `PFR(MF) = 0.D0` `PFRZ(MF)= 0.D0` `IF(ish.ge.7)WRITE(ifch,) MF,ITYP(MF),SNGL(PFR(MF))` `& ,SNGL(PFRZ(MF))` `ENDDO` `ENDIF` `C CALCULATE RESIDUAL TRANSVERSE MOMENTUM` `SPFRX = 0.D0` `SPFRY = 0.D0` `SPFRZ = 0.D0` `CALL RMMARD( RD,JFIN,lseq )` `DO MF = 1, JFIN` `PHIFR = PI * RD(MF)` `PFRX(MF) = PFR(MF) * COS( PHIFR )` `PFRY(MF) = PFR(MF) * SIN( PHIFR )` `SPFRY = SPFRY + PFRY(MF)` `SPFRX = SPFRX + PFRX(MF)` `SPFRZ = SPFRZ + PFRZ(MF)` `ENDDO` `C CORRECT ALL TRANSVERSE MOMENTA FOR MOMENTUM CONSERVATION` `SPFRX = SPFRX / JFIN` `SPFRY = SPFRY / JFIN` `SPFRZ = SPFRZ / JFIN` `DO MF = 1, JFIN` `PFRX(MF) = PFRX(MF) - SPFRX` `PFRY(MF) = PFRY(MF) - SPFRY` `PFRZ(MF) = PFRZ(MF) - SPFRZ` `ENDDO` `IF(ish.ge.7)WRITE(ifch,) 'EPOVAPOR : NINTA,JFIN=',NINTA,JFIN` `RETURN` `END` `-- Author : The CORSIKA development group 21/04/1994` `C=======================================================================` `DOUBLE PRECISION FUNCTION RANNORM( A,B )` `C-----------------------------------------------------------------------` `C RAN(DOM NUMBER) NOR(MALLY DISTRIBUTED)` `C` `C GENERATES NORMAL DISTRIBUTED RANDOM NUMBER` `C DELIVERS 2 UNCORRELATED RANDOM NUMBERS,` `C THEREFORE RANDOM CALLS ARE ONLY NECESSARY EVERY SECOND TIME.` `C REFERENCE : NUMERICAL RECIPES, W.H. PRESS ET AL.,` `C CAMBRIDGE UNIVERSITY PRESS, 1992 ISBN 0 521 43064 X` `C ARGUMENTS:` `C A = MEAN VALUE` `C B = STANDARD DEVIATION` `C` `C FROM CORSIKA` `C-----------------------------------------------------------------------` `IMPLICIT NONE` `double precision facrdm,u1rdm,u2rdm,drangen` `logical knordm` `data knordm/.true./` `DOUBLE PRECISION A,B,RR` `SAVE facrdm,u1rdm,u2rdm,knordm` `C-----------------------------------------------------------------------` `IF ( KNORdm ) THEN` `1 CONTINUE` `U1rdm = 2.D0drangen(a) - 1.D0` `U2rdm = 2.D0drangen(b) - 1.D0` `RR = U1rdm2 + U2rdm2` `IF ( RR .GE. 1.D0 .OR. RR .EQ. 0.D0 ) GOTO 1` `FACrdm = SQRT( (-2.D0) * LOG(RR) / RR )` `RANNORM = FACrdm * U1rdm * B + A` `KNORdm = .FALSE.` `ELSE` `RANNORM = FACrdm * U2rdm * B + A` `KNORdm = .TRUE.` `ENDIF` `RETURN` `END` `c-----------------------------------------------------------------------` `function ransig()` `c-----------------------------------------------------------------------` `c returns randomly +1 or -1` `c-----------------------------------------------------------------------` `ransig=1` `if(rangen().gt.0.5)ransig=-1` `return` `end` `cc-----------------------------------------------------------------------` `c function ranxq(n,x,q,xmin)` `cc-----------------------------------------------------------------------` `cc returns random number according to x(i) q(i) with x>=xmin` `cc-----------------------------------------------------------------------` `c include 'epos.inc'` `c real x(n),q(n)` `c imin=1` `c if(xmin.eq.0.)goto3` `c i1=1` `c i2=n` `c1 i=i1+(i2-i1)/2` `c if(x(i).lt.xmin)then` `c i1=i` `c elseif(x(i).gt.xmin)then` `c i2=i` `c else` `c imin=i` `c goto3` `c endif` `c if(i2-i1.gt.1)goto1` `c imin=i2` `c3 continue` `c if(q(imin).gt.q(n).9999)then` `c ranxq=xmin` `c goto4` `c endif` `c qran=q(imin)+rangen()(q(n)-q(imin))` `c ranxq=utinvt(n,x,q,qran)` `c4 continue` `c` `c if(ranxq.lt.xmin)then` `c call utmsg('ranxq ')` `c write(ifch,)'**** ranxq=',ranxq,' < xmin=',xmin` `c write(ifch,)'q(imin) q q(n):',q(imin),qran,q(n)` `c write(ifch,)'x(imin) x x(n):',x(imin),ranxq,x(n)` `c call utmsgf` `c ranxq=xmin` `c endif` `c` `c return` `c end` `c` `cc *** end r-routines` `cc *** beg s-routines` `c` `cc-----------------------------------------------------------------------` `c function sbet(z,w)` `cc-----------------------------------------------------------------------` `c sbet=utgam1(z)utgam1(w)/utgam1(z+w)` `c return` `c end` `c` `cc-----------------------------------------------------------------------` `c function smass(a,y,z)` `cc-----------------------------------------------------------------------` `cc returns droplet mass (in gev) (per droplet, not (!) per nucleon)` `cc according to berger/jaffe mass formula, prc35(1987)213 eq.2.31,` `cc see also c. dover, BNL-46322, intersections-meeting, tucson, 91.` `cc a: massnr, y: hypercharge, z: charge,` `cc-----------------------------------------------------------------------` `c common/cmass/thet,epsi,as,ac,dy,dz,ym,cz,zm,sigma,rzero` `c ymin=yma` `c zmin=cz/(dz/a+zm/a*(1./3.))` `c smass=epsia+asa(2./3.)+(ac/a(1./3.)+dz/a/2.)(z-zmin)*2` `c +dy/a/2.(y-ymin)2` `c return` `c end` `c` `cc-----------------------------------------------------------------------` `c subroutine smassi(theta)` `cc-----------------------------------------------------------------------` `cc initialization for smass.` `cc calculates parameters for berger/jaffe mass formula` `cc (prc35(1987)213 eq.2.31, see also c. dover, BNL-46322).` `cc theta: parameter that determines all parameters in mass formula.` `cc-----------------------------------------------------------------------` `c common/cmass/thet,epsi,as,ac,dy,dz,ym,cz,zm,sigma,rzero` `c thet=theta` `c` `c astr=.150` `c pi=3.14159` `c alp=1./137.` `c` `c co=cos(theta)` `c si=sin(theta)` `c bet=(1+co3)/2.` `c rzero=si/astr/( 2./3./pi(1+co3) )(1./3.)` `cctp060829 cs=astr/si` `c cz=-astr/si( ( .5(1+co3) )(1./3.)-1 )` `c sigma=6./8./pi(astr/si)3(co2/6.-si2(1-si)/3.-` `c 1./3./pi(pi/2.-theta-sin(2theta)+si*3alog((1+co)/si)))` `c` `c epsi=astr((.5(1+co3))(1./3.)+2)/si` `c as=4pisigmarzero2` `c ac=3./5.alp/rzero` `c dz=astr/sibet(1./3.)co*2` `c (co4(1+bet(2./3.))+(1+bet)2)/` `c ( (2co2+bet(1./3.))(co4(1+bet(2./3.))+(1+bet)2)-` `c (co4+bet(1./3.)(1+bet))((2bet*(2./3.)-1)co*2+1+bet) )` `c dy=astr/6.(1+co3)3/si` `c ( 1+(1+co)/(4(1+co3))(2./3.) )/` `c (co*6+co+co(.5(1+co3))(4./3.))` `c zm=6alp/(5rzero)` `c ym=(1-co3)/(1+co3)` `c` `c return` `c end` `c` `cc-----------------------------------------------------------------------` `c subroutine smassp` `cc-----------------------------------------------------------------------` `cc prints smass.` `cc-----------------------------------------------------------------------` `c include 'epos.inc'` `c common/cmass/thet,epsi,as,ac,dy,dz,ym,cz,zm,sigma,rzero` `c real eng(14),ymi(14),zmi(14)` `c pi=3.14159` `c write(ifch,)'parameters of mass formula:'` `c write(ifch,)'theta=',thet,' epsi=',epsi` `c write(ifch,)'as=',as,' ac=',ac` `c write(ifch,)'dy=',dy,' dz=',dz` `c write(ifch,)'ym=',ym` `c write(ifch,)'cz dz zm=',cz,dz,zm` `c write(ifch,)'sigma1/3=',sigma(1./3.),' rzero=',rzero` `c write(ifch,)'mass:'` `c write(ifch,5000)(j,j=1,14)` `c5000 format(5x,'a:',14i5)` `c do 4 j=1,14` `c a=j` `c ymi(j)=yma` `c4 zmi(j)=cz/(dz/a+zm/a*(1./3.))` `c write(ifch,5002)(ymi(j),j=1,14)` `c5002 format(1x,'ymin: ',14f5.2)` `c write(ifch,5003)(zmi(j),j=1,14)` `c5003 format(1x,'zmin: ',14f5.2)` `c do 2 i=1,15` `c ns=11-i` `c do 3 j=1,14` `c a=j` `c y=a-ns` `c z=0.` `c3 eng(j)=smass(a,y,z)/a` `c write(ifch,5001)ns,(eng(j),j=1,14)` `c5001 format(1x,'s=',i2,2x,14f5.2)` `c2 continue` `c write(ifch,)'mass-mass(free):'` `c write(ifch,5000)(j,j=1,14)` `c do 5 i=1,15` `c ns=11-i` `c do 6 j=1,14` `c a=j` `c y=a-ns` `c z=0.` `c call smassu(a,y,z,ku,kd,ks,kc)` `c6 eng(j)=(smass(a,y,z)-utamnu(ku,kd,ks,kc,0,0,3))/a` `c write(ifch,5001)ns,(eng(j),j=1,14)` `c5 continue` `c` `c stop` `c end` `c` `cc-----------------------------------------------------------------------` `c subroutine smasst(kux,kdx,ksx,kcx,a,y,z)` `cc-----------------------------------------------------------------------` `cc input: kux,kdx,ksx,kcx = net quark numbers (for u,d,s,c quarks).` `cc output: massnr a, hypercharge y and charge z.` `cc-----------------------------------------------------------------------` `c sg=1` `c if(kux+kdx+ksx+kcx.lt.0.)sg=-1` `c ku=sgkux` `c kd=sgkdx` `c ks=sgksx` `c kc=sgkcx` `c k=ku+kd+ks+kc` `c if(mod(k,3).ne.0)stop'noninteger baryon number'` `c a=k/3` `c y=a-ks` `c nz=2ku-kd-ks+2kc` `c if(mod(nz,3).ne.0)stop'noninteger charge'` `c z=nz/3` `c return` `c end` `c` `cc-----------------------------------------------------------------------` `c subroutine smassu(ax,yx,zx,ku,kd,ks,kc)` `cc-----------------------------------------------------------------------` `cc input: massnr ax, hypercharge yx and charge zx.` `cc output: ku,kd,ks,kc = net quark numbers (for u,d,s,c quarks).` `cc-----------------------------------------------------------------------` `c sg=1` `c if(ax.lt.0.)sg=-1` `c a=sgax` `c y=sgyx` `c z=sgzx` `c ku=nint(a+z)` `c kd=nint(a-z+y)` `c ks=nint(a-y)` `c kc=0` `c return` `c end` `c` `cc-----------------------------------------------------------------------` `c function spoc(a,b,c,d,x)` `cc-----------------------------------------------------------------------` `cc power fctn with cutoff` `cc-----------------------------------------------------------------------` `c spoc=0` `c if(a.eq.0..and.b.eq.0.)return` `c spoc =a+bx*c` `c spoc0=a+bd*c` `c spoc=amin1(spoc,spoc0)` `c spoc=amax1(0.,spoc)` `c return` `c end` `c` `c-----------------------------------------------------------------------` `function utacos(x)` `c-----------------------------------------------------------------------` `c returns acos(x) for -1 <= x <= 1 , acos(+-1) else` `c-----------------------------------------------------------------------` `include 'epos.inc'` `argum=x` `if(x.lt.-1.)then` `if(ish.ge.1)then` `call utmsg('utacos')` `write(ifch,)'***** argum = ',argum,' set -1'` `call utmsgf` `endif` `argum=-1.` `elseif(x.gt.1.)then` `if(ish.ge.1)then` `call utmsg('utacos')` `write(ifch,)'**** argum = ',argum,' set 1'` `call utmsgf` `endif` `argum=1.` `endif` `utacos=acos(argum)` `return` `end` `c----------------------------------------------------------------------` `function utamnu(keux,kedx,kesx,kecx,kebx,ketx,modus)` `c----------------------------------------------------------------------` `c returns min mass of droplet with given u,d,s,c content` `c keux: net u quark number` `c kedx: net d quark number` `c kesx: net s quark number` `c kecx: net c quark number` `c kebx: net b quark number` `c ketx: net t quark number` `c modus: 4=two lowest multiplets; 5=lowest multiplet` `c----------------------------------------------------------------------` `common/files/ifop,ifmt,ifch,ifcx,ifhi,ifdt,ifcp,ifdr` `common/csjcga/amnull,asuha(7)` `common/drop4/asuhax(7),asuhay(7)` `if(modus.lt.4.or.modus.gt.5)stop'UTAMNU: not supported'` `c 1 format(' flavours:',6i5 )` `c 100 format(' flavours+mass:',6i5,f8.2 )` `c write(ifch,1)keux,kedx,kesx,kecx,kebx,ketx` `amnull=0.` `do i=1,7` `if(modus.eq.4)asuha(i)=asuhax(i) !two lowest multiplets` `if(modus.eq.5)asuha(i)=asuhay(i) !lowest multiplet` `enddo` `ke=iabs(keux+kedx+kesx+kecx+kebx+ketx)` `if(keux+kedx+kesx+kecx+kebx+ketx.ge.0)then` `keu=keux` `ked=kedx` `kes=kesx` `kec=kecx` `keb=kebx` `ket=ketx` `else` `keu=-keux` `ked=-kedx` `kes=-kesx` `kec=-kecx` `keb=-kebx` `ket=-ketx` `endif` `c write(ifch,)keu,ked,kes,kec,keb,ket` `c removing top mesons to remove t quarks or antiquarks` `if(ket.ne.0)then` `12 continue` `ii=sign(1,ket)` `ket=ket-ii` `if(iikeu.le.iiked)then` `keu=keu+ii` `else` `ked=ked+ii` `endif` `amnull=amnull+200. ! ???????` `if(ket.ne.0)goto12` `endif` `c removing bottom mesons to remove b quarks or antiquarks` `if(keb.ne.0)then` `11 continue` `ii=sign(1,keb)` `keb=keb-ii` `if(iikeu.le.iiked)then` `keu=keu+ii` `else` `ked=ked+ii` `endif` `amnull=amnull+6. !5.28 ! (more than B-meson)` `if(keb.ne.0)goto11` `endif` `c removing charm mesons to remove c quarks or antiquarks` `if(kec.ne.0)then` `10 continue` `ii=sign(1,kec)` `kec=kec-ii` `if(keuii.le.kedii)then` `keu=keu+ii` `else` `ked=ked+ii` `endif` `amnull=amnull+2.2 !1.87 ! (more than D-meson)` `if(kec.ne.0)goto10` `endif` `c write(ifch,100)keu,ked,kes,kec,keb,ket,amnull` `c removing mesons to remove s antiquarks` `5 continue` `if(kes.lt.0)then` `amnull=amnull+asuha(6)` `if(keu.ge.ked)then` `keu=keu-1` `else` `ked=ked-1` `endif` `kes=kes+1` `goto5` `endif` `c removing mesons to remove d antiquarks` `6 continue` `if(ked.lt.0)then` `if(keu.ge.kes)then` `amnull=amnull+asuha(5)` `keu=keu-1` `else` `amnull=amnull+asuha(6)` `kes=kes-1` `endif` `ked=ked+1` `goto6` `endif` `c removing mesons to remove u antiquarks` `7 continue` `if(keu.lt.0)then` `if(ked.ge.kes)then` `amnull=amnull+asuha(5)` `ked=ked-1` `else` `amnull=amnull+asuha(6)` `kes=kes-1` `endif` `keu=keu+1` `goto7` `endif` `c write(ifch,100)keu,ked,kes,kec,keb,ket,amnull` `c print,keu,ked,kes,kec,keb,ket,amnull` `if(keu+ked+kes+kec+keb+ket.ne.ke)` `call utstop('utamnu: sum_kei /= ke&')` `keq=keu+ked` `keqx=keq` `amnux=0` `c removing strange baryons` `i=4` `2 i=i-1` `3 continue` `if((4-i)kes.gt.(i-1)keq)then` `amnux=amnux+asuha(1+i)` `kes=kes-i` `keq=keq-3+i` `if(kes.lt.0)call utstop('utamnu: negative kes&')` `if(keq.lt.0)call utstop('utamnu: negative keq&')` `goto3` `endif` `if(i.gt.1)goto2` `if(keqx.gt.keq)then` `do 8 k=1,keqx-keq` `if(keu.ge.ked)then` `keu=keu-1` `else` `ked=ked-1` `endif` `8 continue` `endif` `if(keu+ked.ne.keq)call utstop('utamnu: keu+ked /= keq&')` `c write(ifch,100)keu,ked,kes,kec,keb,ket,amnull+amnux` `c print,keu,ked,kes,kec,keb,ket,amnull+amnux` `c removing nonstrange baryons` `9 continue` `if(keu.gt.2ked)then` `amnux=amnux+asuha(7)` `keu=keu-3` `if(keu.lt.0)call utstop('utamnu: negative keu&')` `goto9` `endif` `if(ked.gt.2keu)then` `amnux=amnux+asuha(7)` `ked=ked-3` `if(ked.lt.0)call utstop('utamnu: negative ked&')` `goto9` `endif` `keq=keu+ked` `c write(ifch,100)keu,ked,kes,kec,keb,ket,amnull+amnux` `c print,keu,ked,kes,kec,keb,ket,amnull+amnux` `if(mod(keq,3).ne.0)call utstop('utamnu: mod(keq,3) /= 0&')` `amnux=amnux+asuha(1)keq/3` `c write(ifch,100)keu,ked,kes,kec,keb,ket,amnull+amnux` `c print,keu,ked,kes,kec,keb,ket,amnull+amnux` `amnull=amnull+amnux` `if(amnull.eq.0)amnull=asuha(5)` `utamnu=amnull` `return` `end` `c-----------------------------------------------------------------------` `function utamnx(jcp,jcm)` `c-----------------------------------------------------------------------` `c returns minimum mass for the decay of jcp---jcm (by calling utamnu).` `c-----------------------------------------------------------------------` `parameter (nflav=6)` `integer jcp(nflav,2),jcm(nflav,2)` `do i=1,nflav` `do j=1,2` `if(jcp(i,j).ne.0)goto1` `enddo` `enddo` `keu=jcm(1,1)-jcm(1,2)` `ked=jcm(2,1)-jcm(2,2)` `kes=jcm(3,1)-jcm(3,2)` `kec=jcm(4,1)-jcm(4,2)` `keb=jcm(5,1)-jcm(5,2)` `ket=jcm(6,1)-jcm(6,2)` `utamnx=utamnu(keu,ked,kes,kec,keb,ket,5)` `return` `1 continue` `do i=1,nflav` `do j=1,2` `if(jcm(i,j).ne.0)goto2` `enddo` `enddo` `keu=jcp(1,1)-jcp(1,2)` `ked=jcp(2,1)-jcp(2,2)` `kes=jcp(3,1)-jcp(3,2)` `kec=jcp(4,1)-jcp(4,2)` `keb=jcp(5,1)-jcp(5,2)` `ket=jcp(6,1)-jcp(6,2)` `utamnx=utamnu(keu,ked,kes,kec,keb,ket,5)` `return` `2 continue` `keu=jcp(1,1)-jcp(1,2)` `ked=jcp(2,1)-jcp(2,2)` `kes=jcp(3,1)-jcp(3,2)` `kec=jcp(4,1)-jcp(4,2)` `keb=jcp(5,1)-jcp(5,2)` `ket=jcp(6,1)-jcp(6,2)` `ke=keu+ked+kes+kec+keb+ket` `if(mod(ke+1,3).eq.0)then` `keu=keu+1` `amms1=utamnu(keu,ked,kes,kec,keb,ket,5)` `keu=keu-1` `ked=ked+1` `amms2=utamnu(keu,ked,kes,kec,keb,ket,5)` `elseif(mod(ke-1,3).eq.0)then` `keu=keu-1` `amms1=utamnu(keu,ked,kes,kec,keb,ket,5)` `keu=keu+1` `ked=ked-1` `amms2=utamnu(keu,ked,kes,kec,keb,ket,5)` `else` `amms1=0` `amms2=0` `amms3=0` `amms4=0` `call utstop('utamnx: no singlet possible (1)&')` `endif` `keu=jcm(1,1)-jcm(1,2)` `ked=jcm(2,1)-jcm(2,2)` `kes=jcm(3,1)-jcm(3,2)` `kec=jcm(4,1)-jcm(4,2)` `keb=jcm(5,1)-jcm(5,2)` `ket=jcm(6,1)-jcm(6,2)` `ke=keu+ked+kes+kec+keb+ket` `if(mod(ke+1,3).eq.0)then` `keu=keu+1` `amms3=utamnu(keu,ked,kes,kec,keb,ket,5)` `keu=keu-1` `ked=ked+1` `amms4=utamnu(keu,ked,kes,kec,keb,ket,5)` `elseif(mod(ke-1,3).eq.0)then` `keu=keu-1` `amms3=utamnu(keu,ked,kes,kec,keb,ket,5)` `keu=keu+1` `ked=ked-1` `amms4=utamnu(keu,ked,kes,kec,keb,ket,5)` `else` `call utstop('utamnx: no singlet possible (2)&')` `endif` `utamnx=min(amms1+amms3,amms2+amms4)` `c print ,amms1,amms3,amms2,amms4,jcp,jcm` `return` `end` `cc-----------------------------------------------------------------------` `c function utamny(jcp,jcm)` `cc-----------------------------------------------------------------------` `cc returns minimum mass of jcp+jcm (by calling utamnu).` `cc-----------------------------------------------------------------------` `c parameter (nflav=6)` `c integer jcp(nflav,2),jcm(nflav,2),jc(nflav,2)` `c do 7 nf=1,nflav` `c jc(nf,1)=jcp(nf,1)+jcm(nf,1)` `c7 jc(nf,2)=jcp(nf,2)+jcm(nf,2)` `c keu=jc(1,1)-jc(1,2)` `c ked=jc(2,1)-jc(2,2)` `c kes=jc(3,1)-jc(3,2)` `c kec=jc(4,1)-jc(4,2)` `c keb=jc(5,1)-jc(5,2)` `c ket=jc(6,1)-jc(6,2)` `c utamny=utamnu(keu,ked,kes,kec,keb,ket,5)` `c return` `c end` `c` `c-----------------------------------------------------------------------` `function utamnz(jc,modus)` `c-----------------------------------------------------------------------` `c returns minimum mass of jc (by calling utamnu).` `c-----------------------------------------------------------------------` `parameter (nflav=6)` `integer jc(nflav,2)` `keu=jc(1,1)-jc(1,2)` `ked=jc(2,1)-jc(2,2)` `kes=jc(3,1)-jc(3,2)` `kec=jc(4,1)-jc(4,2)` `keb=jc(5,1)-jc(5,2)` `ket=jc(6,1)-jc(6,2)` `utamnz=utamnu(keu,ked,kes,kec,keb,ket,modus)` `return` `end` `c-----------------------------------------------------------------------` `subroutine utar(i1,i2,i3,x0,x1,x2,x3,xx)` `c-----------------------------------------------------------------------` `c returns the array xx with xx(1)=x0 <= xx(i) <= xx(i3)=x3` `c-----------------------------------------------------------------------` `real xx(i3)` `do 1 i=1,i1-1` `1 xx(i)=x0+(i-1.)/(i1-1.)(x1-x0)` `do 2 i=i1,i2-1` `2 xx(i)=x1+(i-i11.)/(i2-i11.)(x2-x1)` `do 3 i=i2,i3` `3 xx(i)=x2+(i-i21.)/(i3-i21.)(x3-x2)` `return` `end` `cc---------------------------------------------------------------------` `c subroutine utaxis(i,j,a1,a2,a3)` `cc-----------------------------------------------------------------------` `cc calculates the axis defined by the ptls i,j in the i,j cm system` `cc---------------------------------------------------------------------` `c include 'epos.inc'` `c double precision pi1,pi2,pi3,pi4,pj1,pj2,pj3,pj4,p1,p2,p3,p4,p5` `c ,err,a` `c a1=0` `c a2=0` `c a3=1` `c pi1=dble(pptl(1,i))` `c pi2=dble(pptl(2,i))` `c pi3=dble(pptl(3,i))` `c pi4=dble(pptl(4,i))` `c pj1=dble(pptl(1,j))` `c pj2=dble(pptl(2,j))` `c pj3=dble(pptl(3,j))` `c pj4=dble(pptl(4,j))` `c p1=pi1+pj1` `c p2=pi2+pj2` `c p3=pi3+pj3` `c p4=pi4+pj4` `c p5=dsqrt(p42-p32-p22-p12)` `c call utlob2(1,p1,p2,p3,p4,p5,pi1,pi2,pi3,pi4,50)` `c call utlob2(1,p1,p2,p3,p4,p5,pj1,pj2,pj3,pj4,51)` `c err=(pi1+pj1)2+(pi2+pj2)2+(pi3+pj3)*2` `c if(err.gt.1d-3)then` `c call utmsg('utaxis')` `c write(ifch,)'***** err=',err` `c write(ifch,)'pi:',pi1,pi2,pi3,pi4` `c write(ifch,)'pj:',pj1,pj2,pj3,pj4` `c call utmsgf` `c endif` `c a=dsqrt( (pj1-pi1)2 + (pj2-pi2)2 + (pj3-pi3)*2 )` `c if(a.eq.0.d0)return` `c a1=sngl((pi1-pj1)/a)` `c a2=sngl((pi2-pj2)/a)` `c a3=sngl((pi3-pj3)/a)` `c return` `c end` `c` `cc---------------------------------------------------------------------` `c subroutine uthalf(i,j,zz1,zz2,iret)` `cc-----------------------------------------------------------------------` `cc give equal energy (E_i+E_j)/2 to particle i+j in their cm system` `cc---------------------------------------------------------------------` `c include 'epos.inc'` `c double precision pi1,pi2,pi3,pi4,pi5,pj1,pj2,pj3,pj4,pj5` `c ,p1,p2,p3,p4,p5,err,pt,pti,sinp,cosp,pmax,phi,drangen!,rrr` `c iret=0` `c pi1=dble(pptl(1,i))` `c pi2=dble(pptl(2,i))` `c pi3=dble(pptl(3,i))` `c pi5=dble(pptl(5,i))` `c pi4=sqrt(pi12+pi22+pi32+pi52)` `c pj1=dble(pptl(1,j))` `c pj2=dble(pptl(2,j))` `c pj3=dble(pptl(3,j))` `c pj5=dble(pptl(5,j))` `c pj4=sqrt(pj12+pj22+pj32+pj52)` `c if(ish.ge.6)then` `c write(ifch,)'uthalf for ',i,' and ',j` `c write(ifch,)'in ',idptl(i),pi1,pi2,pi3,pi4,pi5` `c write(ifch,)'<> ',idptl(j),pj1,pj2,pj3,pj4,pj5` `c endif` `c p1=pi1+pj1` `c p2=pi2+pj2` `c p3=pi3+pj3` `c p4=pi4+pj4` `c p5=(p4-p3)(p4+p3)-p22-p12` `c if(p5.lt.0d0.or.(pi3.lt.0.99d0pj3.and.mod(ityptl(j)/10,10).eq.4)` `c & .or.(pi3.gt.0.99d0pj3.and.mod(ityptl(j)/10,10).eq.5))then` `cc if(p5.lt.0d0)then` `c if(ish.ge.7)write(ifch,)'Inversion not possible (1)',p5,pi3,pj3` `c iret=1` `c return` `c else` `c p5=sqrt(p5)` `c endif` `c call utlob2(1,p1,p2,p3,p4,p5,pi1,pi2,pi3,pi4,50)` `c call utlob2(1,p1,p2,p3,p4,p5,pj1,pj2,pj3,pj4,51)` `c err=(pi1+pj1)2+(pi2+pj2)2+(pi3+pj3)2` `c if(err.gt.1d-3)then` `c call utmsg('uthalf')` `c write(ifch,)'***** err=',err` `c write(ifch,)'pi:',pi1,pi2,pi3,pi4` `c write(ifch,)'pj:',pj1,pj2,pj3,pj4` `c call utmsgf` `c endif` `c if(ish.ge.8)then` `c write(ifch,)'pi 1:',pi1,pi2,pi3,pi4,pi5` `c & ,sqrt(pi12+pi22+pi32+pi52)` `c write(ifch,)'pj 1:',pj1,pj2,pj3,pj4,pj5` `c & ,sqrt(pj12+pj22+pj32+pj52)` `c endif` `c` `c phi=drangen(p5)2d0dble(pi)` `c pti=sqrt(pi1pi1+pi2pi2)` `c` `cc sinp=abs(asin(pi2/pti))` `c` `c cosp=cos(phi)` `c sinp=sin(phi)` `cc cosp=pi1/pti` `cc sinp=pi2/pti` `c pini=abs(pi3)` `c pmax=pini` `c` `c ntry=0` `c 10 ntry=ntry+1` `c pi1=-pj1` `c pi2=-pj2` `c pi3=-pj3` `c` `c` `cc rrr=dble(ranptcut(4.))max(0.1d0,dble(zz))+0.01d0` `cc rrr=dble(ranptcut(zzmax(1.,float(ntry/10)*3))) !flip if pt too large` `cc rrr=dble(min(1.,ranptcut(zz/float(max(1,ntry/10))))) !return if pt too large` `c` `c rrr=rangen()` `c phi=dble(pizz1(1.-rrrzz2/float(max(1,ntry/10))))` `c call utroa2(phi,cosp,sinp,0d0,pi1,pi2,pi3) !rotation around an axis perpendicular to p3` `c pt=pi1pi1+pi2pi2` `c` `ccc pi3=pini(1d0-(pmax/pini+1d0)min(1d0,rrr))` `ccc & sign(1.d0,pi3)` `cc pi3=pini(1d0-(pmax/pini+1d0)(1d0-min(1d0,rrr)))` `cc & sign(1.d0,pi3)` `cccc pi3=(1d0-exp(-drangen(pti)))pi3` `cccc pi3=min(1d0,(drangen()+exp(-min(100d0,dble(zz)))))pi3` `cccc pi3=(dble(reminv)+exp(-min(100d0,dble(zz))))pi3` `cc pt=((pi4+pi3)(pi4-pi3)-pi5pi5)` `c if(ish.ge.8)write(ifch,)'ut',ntry,zz,rrr,-pi3/pj3,pt,ptipti` `c &,idptl(i),idptl(j)` `c if((pt.lt.0d0.or.pt.gt.max(2.ptipti,1.d0))` `cc if(pt.lt.0d0` `c & .and.ntry.lt.1000)then` `c goto 10` `c elseif(ntry.ge.1000)then` `c if(ish.ge.7)write(ifch,)'Inversion not possible (2)',pt,ptipti` `c iret=1` `c return !pion distribution fall at xf=1` `cc pi3=pj3 !if flip all particle with large pt` `cc pt=ptipti !then very very hard pi+ spectra (flat at xf=1 like in pp400 !)` `c !but to hard for K, rho, eta, etc ..` `c endif` `cc print ,'ut',ntry,phi/(pi-sinp),zz,rrr,-pi3/pj3,pt/pti/pti` `cc pt=sqrt(pt)` `cc pi1=cosppt` `cc pi2=sinppt` `c` `c pj1=-pi1` `c pj2=-pi2` `c pj3=-pi3` `cc pi4=sqrt(pi3pi3+ptpt+pi5pi5)` `cc pj4=sqrt(pj3pj3+ptpt+pj5pj5)` `c pi4=sqrt(pi3pi3+pt+pi5pi5)` `c pj4=sqrt(pj3pj3+pt+pj5pj5)` `c if(ish.ge.8)then` `c write(ifch,)'pi 2:',pi1,pi2,pi3,pi4,pi5` `c & ,sqrt(pi12+pi22+pi32+pi52)` `c write(ifch,)'pj 2:',pj1,pj2,pj3,pj4,pj5` `c & ,sqrt(pj12+pj22+pj32+pj52)` `c endif` `c call utlob2(-1,p1,p2,p3,p4,p5,pi1,pi2,pi3,pi4,-50)` `c call utlob2(-1,p1,p2,p3,p4,p5,pj1,pj2,pj3,pj4,-51)` `c if(pi3/dble(pptl(3,i)).gt.1.00001d0` `c &.or.(pi3.gt.1.001d0pj3.and.mod(ityptl(j)/10,10).eq.4)` `c &.or.(pi3.lt.1.001d0pj3.and.mod(ityptl(j)/10,10).eq.5))then` `c if(ish.ge.7)write(ifch,)'Inversion not possible (3)',pi3,pj3` `c iret=1` `c return` `c endif` `c id=idptl(i)` `c pptl(1,i)=sngl(pi1)` `c pptl(2,i)=sngl(pi2)` `c pptl(3,i)=sngl(pi3)` `c pptl(4,i)=sngl(pi4)` `c pptl(5,i)=sngl(pi5)` `cc pptl(5,i)=sngl(pj5)` `cc idptl(i)=idptl(j)` `c pptl(1,j)=sngl(pj1)` `c pptl(2,j)=sngl(pj2)` `c pptl(3,j)=sngl(pj3)` `c pptl(4,j)=sngl(pj4)` `c pptl(5,j)=sngl(pj5)` `cc pptl(5,j)=sngl(pi5)` `cc idptl(j)=id` `c if(ish.ge.6)then` `c write(ifch,)'out ',idptl(i),pi1,pi2,pi3,pi4` `c write(ifch,)' <> ',idptl(j),pj1,pj2,pj3,pj4` `c endif` `c` `c return` `c end` `c` `cc-----------------------------------------------------------------------` `c subroutine utchm(arp,arm,ii)` `cc-----------------------------------------------------------------------` `cc checks whether arp2=0 and arm2=0.` `cc-----------------------------------------------------------------------` `c include 'epos.inc'` `c double precision arp(4),arm(4),difp,difm` `c difp=arp(4)2-arp(1)2-arp(2)2-arp(3)2` `c difm=arm(4)2-arm(1)2-arm(2)2-arm(3)2` `c if(dabs(difp).gt.1e-3arp(4)2` `c .or.dabs(difm).gt.1e-3arm(4)2)then` `c call utmsg('utchm ')` `c write(ifch,)'***** mass non zero - ',ii` c write(ifch,)'jet-mass2`s: ',difp,difm c write(ifch,)'energy2`s: ',arp(4)2,arm(4)*2 `c write(ifch,)(sngl(arp(i)),i=1,4)` `c write(ifch,)(sngl(arm(i)),i=1,4)` `c call utmsgf` `c endif` `c return` `c end` `c` `c-----------------------------------------------------------------------` `subroutine utclea(nptlii,nptl0)` `c-----------------------------------------------------------------------` `c starting from nptlii` `c overwrites istptl=99 particles in /cptl/, reduces so nptl` `c and update minfra and maxfra` `c-----------------------------------------------------------------------` `include 'epos.inc'` `integer newptl(mxptl)!,oldptl(mxptl),ii(mxptl)` `ish0=ish` `if(ishsub/100.eq.18)ish=mod(ishsub,100)` `call utpri('utclea',ish,ishini,2)` `nptli=max(maproj+matarg+1,nptlii)` `minfra0=minfra` `maxfra0=maxfra` `minfra1=maxfra` `maxfra1=minfra` `if(ish.ge.2)write(ifch,)'entering subr utclea:',nptl` `& ,minfra,maxfra` `if(ish.ge.7)then` `write(ifch,)('-',l=1,68)` `write(ifch,)'sr utclea. initial.'` `write(ifch,)('-',l=1,68)` `do 34 n=nptli,nptl` `write(ifch,116)iorptl(n),jorptl(n),n,ifrptl(1,n),ifrptl(2,n)` `,idptl(n),sqrt(pptl(1,n)2+pptl(2,n)2),pptl(3,n),pptl(5,n)` `,istptl(n),ityptl(n)` `34 continue` `116 format(1x,i6,i6,4x,i6,4x,i6,i6,i12,3x,3(e8.2,1x),i3,i3)` `endif` `c ish=ish0` `c ish0=ish` `c if(ishsub/100.eq.18)ish=mod(ishsub,100)` `i=nptli-1` `1 i=i+1` `if(i.gt.nptl)goto 1000` `if(istptl(i).eq.99)goto 2` `newptl(i)=i` `c oldptl(i)=i` `goto 1` `2 i=i-1` `j=i` `3 i=i+1` `4 j=j+1` `if(j.gt.nptl)goto 5` `newptl(j)=0` `if(istptl(j).eq.99)goto 4` `newptl(j)=i` `c oldptl(i)=j` `c write(ifch,)'move',j,' to ',i` `c write(ifch,)idptl(i),ityptl(i),idptl(j),ityptl(j),minfra,maxfra` `call utrepl(i,j)` `if(j.ge.minfra0.and.j.le.maxfra0)then` `minfra1=min(minfra1,i)` `maxfra1=max(maxfra1,i)` `endif` `goto 3` `5 nptl=i-1` `if(nptl.eq.0)then` `nptl0=0` `goto 1000` `endif` `20 n0=newptl(nptl0)` `if(n0.gt.0)then` `nptl0=n0` `else` `nptl0=nptl0-1` `if(nptl0.gt.0)goto 20` `endif` `c do 11 k=1,nptl` `c io=iorptl(k)` `c if(io.le.0)ii(k)=io` `c if(io.gt.0)ii(k)=newptl(io)` `c11 continue` `c do 12 k=1,nptl` `c12 iorptl(k)=ii(k)` `c` `c do 13 k=1,nptl` `c jo=jorptl(k)` `c if(jo.le.0)ii(k)=jo` `c if(jo.gt.0)ii(k)=newptl(jo)` `c13 continue` `c do 14 k=1,nptl` `c14 jorptl(k)=ii(k)` `c` `c do 15 k=1,nptl` `c if1=ifrptl(1,k)` `c if(if1.le.0)ii(k)=if1` `c if(if1.gt.0)ii(k)=newptl(if1)` `c15 continue` `c do 16 k=1,nptl` `c16 ifrptl(1,k)=ii(k)` `c` `c do 17 k=1,nptl` `c if2=ifrptl(2,k)` `c if(if2.le.0)ii(k)=if2` `c if(if2.gt.0)ii(k)=newptl(if2)` `c17 continue` `c do 18 k=1,nptl` `c18 ifrptl(2,k)=ii(k)` `c` `c do 19 k=1,nptl` `c if(ifrptl(1,k).eq.0.and.ifrptl(2,k).gt.0)ifrptl(1,k)=ifrptl(2,k)` `c if(ifrptl(2,k).eq.0.and.ifrptl(1,k).gt.0)ifrptl(2,k)=ifrptl(1,k)` `c19 continue` `1000 continue` `if(minfra1.lt.minfra0)minfra=minfra1` `if(maxfra1.ge.minfra1)maxfra=maxfra1` `if(ish.ge.2)then` `write(ifch,)'exiting subr utclea:'` `do 35 n=1,nptl` `write(ifch,116)iorptl(n),jorptl(n),n,ifrptl(1,n),ifrptl(2,n)` `,idptl(n),sqrt(pptl(1,n)2+pptl(2,n)2),pptl(3,n),pptl(5,n)` `,istptl(n),ityptl(n)` `35 continue` `endif` `if(ish.ge.2)write(ifch,)'exiting subr utclea:',nptl` `& ,minfra,maxfra` `call utprix('utclea',ish,ishini,2)` `ish=ish0` `return` `end` `c---------------------------------------------------------------------` `subroutine utfit(x,y,ndata,sig,mwt,a,b,siga,sigb,chi2,q)` `c---------------------------------------------------------------------` `c linear fit to data` `c input:` `c ndata: nr of data points` `c x(),y(),sig(): data` `c mwt: unweighted (0) or weighted (else) data points` `c output:` `c a,b: parameters of linear fit a+bx` `c---------------------------------------------------------------------` `INTEGER mwt,ndata` `REAL a,b,chi2,q,siga,sigb,sig(ndata),x(ndata),y(ndata)` `CU USES utgmq` `INTEGER i` `REAL sigdat,ss,st2,sx,sxoss,sy,t,wt,utgmq` `sx=0.` `sy=0.` `st2=0.` `b=0.` `if(mwt.ne.0) then` `ss=0.` `do 11 i=1,ndata` `wt=1./(sig(i)*2)` `ss=ss+wt` `sx=sx+x(i)wt` `sy=sy+y(i)wt` `11 continue` `else` `do 12 i=1,ndata` `sx=sx+x(i)` `sy=sy+y(i)` `12 continue` `ss=float(ndata)` `endif` `sxoss=sx/ss` `if(mwt.ne.0) then` `do 13 i=1,ndata` `t=(x(i)-sxoss)/sig(i)` `st2=st2+tt` `b=b+ty(i)/sig(i)` `13 continue` `else` `do 14 i=1,ndata` `t=x(i)-sxoss` `st2=st2+tt` `b=b+ty(i)` `14 continue` `endif` `b=b/st2` `a=(sy-sxb)/ss` `siga=sqrt((1.+sxsx/(ssst2))/ss)` `sigb=sqrt(1./st2)` `chi2=0.` `if(mwt.eq.0) then` `do 15 i=1,ndata` `chi2=chi2+(y(i)-a-bx(i))2` `15 continue` `q=1.` `sigdat=sqrt(chi2/(ndata-2))` `siga=sigasigdat` `sigb=sigbsigdat` `else` `do 16 i=1,ndata` `chi2=chi2+((y(i)-a-bx(i))/sig(i))*2` `16 continue` `q=utgmq(0.5(ndata-2),0.5chi2)` `endif` `return` `END` `c-----------------------------------------------------------------------` `function utgam1(x)` `c-----------------------------------------------------------------------` `c gamma fctn tabulated` `c single precision` `c-----------------------------------------------------------------------` `double precision utgamtab,utgam,al,dl` `common/gamtab/utgamtab(10000)` `if(x.gt.0.01.and.x.lt.99.99)then` `al=100.d0dble(x)` `k1=int(al)` `k2=k1+1` `dl =al-dble(k1)` `utgam1=real(utgamtab(k2)dl+utgamtab(k1)(1.d0-dl))` `elseif(x.eq.0.)then` `utgam1=0.` `else` `utgam1=real(utgam(dble(x)))` `endif` `end` `c-----------------------------------------------------------------------` `double precision function utgam2(x)` `c-----------------------------------------------------------------------` `c gamma fctn tabulated` `c double precision` `c-----------------------------------------------------------------------` `double precision utgamtab,x,al,dl,utgam` `common/gamtab/utgamtab(10000)` `if(x.gt.0.01d0.and.x.le.99.99d0)then` `al=100.d0x` `k1=int(al)` `k2=k1+1` `dl =al-dble(k1)` `utgam2=utgamtab(k2)dl+utgamtab(k1)(1.d0-dl)` `elseif(x.eq.0.d0)then` `utgam2=0.d0` `else` `utgam2=utgam(x)` `endif` `end` `c-----------------------------------------------------------------------` `double precision function utgam(x)` `c-----------------------------------------------------------------------` `c gamma fctn` `c double precision` `c-----------------------------------------------------------------------` `include 'epos.inc'` `double precision c(13),x,z,f` `data c` `1/ 0.00053 96989 58808, 0.00261 93072 82746, 0.02044 96308 23590,` `2 0.07309 48364 14370, 0.27964 36915 78538, 0.55338 76923 85769,` `3 0.99999 99999 99998,-0.00083 27247 08684, 0.00469 86580 79622,` `4 0.02252 38347 47260,-0.17044 79328 74746,-0.05681 03350 86194,` `5 1.13060 33572 86556/` `utgam=0d0` `z=x` `if(x .gt. 170.d0) goto6` `if(x .gt. 0.0d0) goto1` `if(x .eq. int(x)) goto5` `z=1.0d0-z` `1 f=1.0d0/z` `if(z .le. 1.0d0) goto4` `f=1.0d0` `2 continue` `if(z .lt. 2.0d0) goto3` `z=z-1.0d0` `f=fz` `goto2` `3 z=z-1.0d0` `4 utgam=` `1 f((((((c(1)z+c(2))z+c(3))z+c(4))z+c(5))z+c(6))z+c(7))/` `2 ((((((c(8)z+c(9))z+c(10))z+c(11))z+c(12))z+c(13))z+1.0d0)` `if(x .gt. 0.0d0) return` `utgam=3.141592653589793d0/(sin(3.141592653589793d0x)utgam)` `return` `5 write(ifch,10)sngl(x)` `10 format(1x,'argument of gamma fctn = ',e20.5)` `call utstop('utgam : negative integer argument&')` `6 write(ifch,11)sngl(x)` `11 format(1x,'argument of gamma fctn = ',e20.5)` `call utstop('utgam : argument too large&')` `end` `c---------------------------------------------------------------------` `subroutine utgcf(gammcf,a,x,gln)` `c---------------------------------------------------------------------` `INTEGER ITMAX` `REAL a,gammcf,gln,x,EPS,FPMIN` `PARAMETER (ITMAX=100,EPS=3.e-7,FPMIN=1.e-30)` `CU USES utgmln` `INTEGER i` `REAL an,b,c,d,del,h,utgmln` `gln=utgmln(a)` `b=x+1.-a` `c=1./FPMIN` `d=1./b` `h=d` `do 11 i=1,ITMAX` `an=-i(i-a)` `b=b+2.` `d=and+b` `if(abs(d).lt.FPMIN)d=FPMIN` `c=b+an/c` `if(abs(c).lt.FPMIN)c=FPMIN` `d=1./d` `del=dc` `h=hdel` `if(abs(del-1.).lt.EPS)goto 1` `11 continue` `call utstop("a too large, ITMAX too small in utgcf&")` `1 gammcf=exp(-x+alog(x)-gln)h` `return` `END` `c---------------------------------------------------------------------` `function utgmln(xx)` `c---------------------------------------------------------------------` `REAL utgmln,xx` `INTEGER j` `DOUBLE PRECISION ser,stp,tmp,x,y,cof(6)` `SAVE cof,stp` `DATA cof,stp/76.18009172947146d0,-86.50532032941677d0,` `24.01409824083091d0,-1.231739572450155d0,.1208650973866179d-2,` `-.5395239384953d-5,2.5066282746310005d0/` `x=xx` `y=x` `tmp=x+5.5d0` `tmp=(x+0.5d0)log(tmp)-tmp` `ser=1.000000000190015d0` `do 11 j=1,6` `y=y+1.d0` `ser=ser+cof(j)/y` `11 continue` `utgmln=tmp+log(stpser/x)` `return` `END` `c---------------------------------------------------------------------` `function utgmq(a,x)` `c---------------------------------------------------------------------` `REAL a,utgmq,x` `CU USES utgcf,utgser` `REAL gammcf,gamser,gln` `if(x.lt.0..or.a.le.0.) call utstop("bad arguments in utgmq&")` `if(x.lt.a+1.)then` `call utgser(gamser,a,x,gln)` `utgmq=1.-gamser` `else` `call utgcf(gammcf,a,x,gln)` `utgmq=gammcf` `endif` `return` `END` `c---------------------------------------------------------------------` `subroutine utgser(gamser,a,x,gln)` `c---------------------------------------------------------------------` `INTEGER ITMAX` `REAL a,gamser,gln,x,EPS` `PARAMETER (ITMAX=100,EPS=3.e-7)` `CU USES utgmln` `INTEGER n` `REAL ap,del,sum,utgmln` `gln=utgmln(a)` `if(x.le.0.)then` `if(x.lt.0.)call utstop("x < 0 in utgser&")` `gamser=0.` `return` `endif` `ap=a` `sum=1./a` `del=sum` `do 11 n=1,ITMAX` `ap=ap+1.` `del=delx/ap` `sum=sum+del` `if(abs(del).lt.abs(sum)EPS)goto 1` `11 continue` `call utstop("a too large, ITMAX too small in utgser&")` `1 gamser=sumexp(-x+alog(x)-gln)` `return` `END` `c-------------------------------------------------------------------------` `subroutine uticpl(ic,ifla,iqaq,iret)` `c-------------------------------------------------------------------------` `c adds a quark (iqaq=1) or antiquark (iqaq=2) of flavour ifla` `c to 2-id ic` `c-------------------------------------------------------------------------` `include 'epos.inc'` `integer jc(nflav,2),ic(2)` `iret=0` `if(ifla.eq.0)return` `call iddeco(ic,jc)` `if(ish.ge.8)write(ifch,'(2i8,12i3)')ic,jc` `jqaq=3-iqaq` `if(jc(ifla,jqaq).gt.0)then` `jc(ifla,jqaq)=jc(ifla,jqaq)-1` `else` `jc(ifla,iqaq)=jc(ifla,iqaq)+1` `endif` `call idcomj(jc)` `call idenco(jc,ic,ireten)` `if(ish.ge.8)write(ifch,'(2i8,12i3)')ic,jc` `if(ireten.eq.1)iret=1` `if(ic(1).eq.0.and.ic(2).eq.0.and.ireten.eq.0)then` `ic(1)=100000` `ic(2)=100000` `endif` `return` `end` `cc-----------------------------------------------------------------------` `c subroutine utindx(n,xar,x,i)` `cc-----------------------------------------------------------------------` `cc input: dimension n` `cc array xar(n) with xar(i) > xar(i-1)` `cc some number x between xar(1) and xar(n)` `cc output: the index i such that x is between xar(i) and xar(i+1)` `cc-----------------------------------------------------------------------` `c include 'epos.inc'` `c real xar(n)` `c if(x.lt.xar(1))then` `c if(ish.ge.5)then` `c call utmsg('utindx')` `c write(ifch,)'***** x=',x,' < xar(1)=',xar(1)` `c call utmsgf` `c endif` `c i=1` `c return` `c elseif(x.gt.xar(n))then` `c if(ish.ge.5)then` `c call utmsg('utindx')` `c write(ifch,)'**** x=',x,' > xar(n)=',xar(n)` `c call utmsgf` `c endif` `c i=n` `c return` `c endif` `c lu=1` `c lo=n` `c1 lz=(lo+lu)/2` `c if((xar(lu).le.x).and.(x.le.xar(lz)))then` `c lo=lz` `c elseif((xar(lz).lt.x).and.(x.le.xar(lo)))then` `c lu=lz` `c else` `c call utstop('utindx: no interval found&')` `c endif` `c if((lo-lu).ge.2) goto1` `c if(lo.le.lu)call utstop('utinvt: lo.le.lu&')` `c i=lu` `c return` `c end` `c` `c-----------------------------------------------------------------------` `function utinvt(n,x,q,y)` `c-----------------------------------------------------------------------` `c returns x with y=q(x)` `c-----------------------------------------------------------------------` `include 'epos.inc'` `real x(n),q(n)` `if(q(n).eq.0.)call utstop('utinvt: q(n)=0&')` `if(y.lt.0.)then` `if(ish.ge.1)then` `call utmsg('utinvt')` `write(ifch,)'**** y=',y,' < 0'` `call utmsgf` `endif` `y=0.` `elseif(y.gt.q(n))then` `if(ish.ge.1)then` `call utmsg('utinvt')` `write(ifch,)'**** y=',y,' > ',q(n)` `call utmsgf` `endif` `y=q(n)` `endif` `lu=1` `lo=n` `1 lz=(lo+lu)/2` `if((q(lu).le.y).and.(y.le.q(lz)))then` `lo=lz` `elseif((q(lz).lt.y).and.(y.le.q(lo)))then` `lu=lz` `else` `write(ifch,)'q(1),y,q(n):',q(1),y,q(n)` `write(ifch,)'lu,lz,lo:',lu,lz,lo` `write(ifch,)'q(lu),q(lz),q(lo):',q(lu),q(lz),q(lo)` `call utstop('utinvt: no interval found&')` `endif` `if((lo-lu).ge.2) goto1` `if(lo.le.lu)call utstop('utinvt: lo.le.lu&')` `utinvt=x(lu)+(y-q(lu))(x(lo)-x(lu))/(q(lo)-q(lu))` `return` `end` `c-----------------------------------------------------------------------` `subroutine utlob2(isig,p1,p2,p3,p4,p5,x1,x2,x3,x4,idi)` `c-----------------------------------------------------------------------` `c performs a lorentz boost, double prec.` `c isig=+1 is to boost the four vector x1,x2,x3,x4 such as to obtain it` `c in the frame specified by the 5-vector p1...p5 (5-vector=4-vector+mass).` `c isig=-1: the other way round, that means,` `c if the 4-vector x1...x4 is given in some frame characterized by` `c p1...p5 with respect to to some lab-frame, utlob2 returns the 4-vector` `c x1...x4 in the lab frame.` `c idi is a call identifyer (integer) to identify the call in case of problem` `c-----------------------------------------------------------------------` `include 'epos.inc'` `double precision beta(4),z(4),p1,p2,p3,p4,p5,pp,bp,x1,x2,x3,x4` `,xx0,x10,x20,x30,x40,x4x,x0123` `if(ish.ge.2)then` `if(ish.ge.9)then` `write(ifch,101)x1,x2,x3,x4,(x4-x3)(x4+x3)-x2x2-x1x1` `write(ifch,301)p1,p2,p3,p4,p5,(p4-p3)(p4+p3)-p2p2-p1p1` `101 format(' utlob2: x = ',5e13.5)` `301 format(' p = ',6e13.5)` `endif` `pp=(p4-p3)(p4+p3)-p2p2-p1p1` `if(dabs(pp-p5p5).gt.1e-3p4p4.and.dabs(pp-p5p5).gt.1e-3)then` `call utmsg('utlob2')` `write(ifch,)'** p2 .ne. p5*2'` `write(ifch,)'call identifyer:',idi` `write(ifch,)'p2,p52: ',pp,p5p5` `write(ifch,)'p: ',p1,p2,p3,p4,p5` `call utmsgf` `endif` `x10=x1` `x20=x2` `x30=x3` `x40=x4` `endif` `xx0=(x4-x3)(x4+x3)-x2x2-x1x1` `if(p5.le.0.)then` `call utmsg('utlob2')` `write(ifch,)'**** p5 negative.'` `write(ifch,)'call identifyer:',idi` `write(ifch,)'p(5): ',p1,p2,p3,p4,p5` `write(ifmt,)'call identifyer:',idi` `write(ifmt,)'p(5): ',p1,p2,p3,p4,p5` `call utmsgf` `call utstop('utlob2: p5 negative.&')` `endif` `z(1)=x1` `z(2)=x2` `z(3)=x3` `z(4)=x4` `beta(1)=-p1/p5` `beta(2)=-p2/p5` `beta(3)=-p3/p5` `beta(4)= p4/p5` `bp=0.` `do 220 k=1,3` `220 bp=bp+z(k)isigbeta(k)` `do 230 k=1,3` `230 z(k)=z(k)+isigbeta(k)z(4)` `+isigbeta(k)bp/(beta(4)+1.)` `z(4)=beta(4)z(4)+bp` `x1=z(1)` `x2=z(2)` `x3=z(3)` `x4=z(4)` `if(ish.ge.9)` `write(ifch,101)x1,x2,x3,x4,(x4-x3)(x4+x3)-x2x2-x1x1` `x4x=x4` `x0123=xx0+x1x1+x2x2+x3x3` `if(x0123.gt.0.)then` `x4=sign( dsqrt(x0123) , x4x )` `else` `x4=0` `endif` `if(ish.ge.9)then` `write(ifch,101)x1,x2,x3,x4,(x4-x3)(x4+x3)-x2x2-x1x1` `endif` `if(ish.ge.2)then` `if(ish.ge.9)write(ifch,)'check x2_ini -- x2_fin'` `if(dabs(x4-x4x).gt.1d-2dabs(x4).and.dabs(x4-x4x).gt.1d-2)then` `call utmsg('utlob2')` `write(ifch,)'** x2_ini .ne. x*2_fin.'` `write(ifch,)'call identifyer:',idi` `write(ifch,)'x1 x2 x3 x4 x2 (initial/final/corrected):'` `102 format(5e13.5)` `write(ifch,102)x10,x20,x30,x40,(x40-x30)(x40+x30)-x20x20-x10x10` `write(ifch,102)x1,x2,x3,x4x,(x4x-x3)(x4x+x3)-x2x2-x1x1` `write(ifch,102)x1,x2,x3,x4,(x4-x3)(x4+x3)-x2x2-x1x1` `call utmsgf` `endif` `endif` `if(ish.ge.9)write(ifch,)'return from utlob2'` `return` `end` `c-----------------------------------------------------------------------` `subroutine utlob3(isig,p1,p2,p3,p4,p5,x1,x2,x3,x4)` `c-----------------------------------------------------------------------` `c performs a lorentz boost, double prec.` `c but arguments are single precision` `c-----------------------------------------------------------------------` `double precision xx1,xx2,xx3,xx4` `xx1=dble(x1)` `xx2=dble(x2)` `xx3=dble(x3)` `xx4=dble(x4)` `call utlob2(isig` `,dble(p1),dble(p2),dble(p3),dble(p4),dble(p5)` `,xx1,xx2,xx3,xx4,52)` `x1=sngl(xx1)` `x2=sngl(xx2)` `x3=sngl(xx3)` `x4=sngl(xx4)` `return` `end` `c-----------------------------------------------------------------------` `subroutine utlob5(yboost,x1,x2,x3,x4,x5)` `c-----------------------------------------------------------------------` `amt=sqrt(x52+x12+x22)` `y=sign(1.,x3)alog((x4+abs(x3))/amt)` `y=y-yboost` `x4=amtcosh(y)` `x3=amtsinh(y)` `return` `end` `c-----------------------------------------------------------------------` `subroutine utlob4(isig,pp1,pp2,pp3,pp4,pp5,x1,x2,x3,x4)` `c-----------------------------------------------------------------------` `c performs a lorentz boost, double prec.` `c but arguments are partly single precision` `c-----------------------------------------------------------------------` `double precision xx1,xx2,xx3,xx4,pp1,pp2,pp3,pp4,pp5` `xx1=dble(x1)` `xx2=dble(x2)` `xx3=dble(x3)` `xx4=dble(x4)` `call utlob2(isig,pp1,pp2,pp3,pp4,pp5,xx1,xx2,xx3,xx4,53)` `x1=sngl(xx1)` `x2=sngl(xx2)` `x3=sngl(xx3)` `x4=sngl(xx4)` `return` `end` `c-----------------------------------------------------------------------` `subroutine utlobo(isig,p1,p2,p3,p4,p5,x1,x2,x3,x4)` `c-----------------------------------------------------------------------` `c performs a lorentz boost` `c-----------------------------------------------------------------------` `include 'epos.inc'` `real beta(4),z(4)` `if(p5.le.0.)then` `call utmsg('utlobo')` `write(ifch,)'**** mass <= 0.'` `write(ifch,)'p(5): ',p1,p2,p3,p4,p5` `call utmsgf` `call utstop('utlobo: mass <= 0.&')` `endif` `z(1)=x1` `z(2)=x2` `z(3)=x3` `z(4)=x4` `beta(1)=-p1/p5` `beta(2)=-p2/p5` `beta(3)=-p3/p5` `beta(4)= p4/p5` `bp=0.` `do 220 k=1,3` `220 bp=bp+z(k)isigbeta(k)` `do 230 k=1,3` `230 z(k)=z(k)+isigbeta(k)z(4)` `+isigbeta(k)bp/(beta(4)+1.)` `z(4)=beta(4)z(4)+bp` `x1=z(1)` `x2=z(2)` `x3=z(3)` `x4=z(4)` `return` `end` `c-----------------------------------------------------------------------` `subroutine utloc(ar,n,a,l)` `c-----------------------------------------------------------------------` `real ar(n)` `do 1 i=1,n` `l=i-1` `if(a.lt.ar(i))return` `1 continue` `l=n` `return` `end` `cc-----------------------------------------------------------------------` `c subroutine utlow(cone)` `cc-----------------------------------------------------------------------` `c character1 cone` `c if(cone.eq.'A')cone='a'` `c if(cone.eq.'B')cone='b'` `c if(cone.eq.'C')cone='c'` `c if(cone.eq.'D')cone='d'` `c if(cone.eq.'E')cone='e'` `c if(cone.eq.'F')cone='f'` `c if(cone.eq.'G')cone='g'` `c if(cone.eq.'H')cone='h'` `c if(cone.eq.'I')cone='i'` `c if(cone.eq.'J')cone='j'` `c if(cone.eq.'K')cone='k'` `c if(cone.eq.'L')cone='l'` `c if(cone.eq.'M')cone='m'` `c if(cone.eq.'N')cone='n'` `c if(cone.eq.'O')cone='o'` `c if(cone.eq.'P')cone='p'` `c if(cone.eq.'Q')cone='q'` `c if(cone.eq.'R')cone='r'` `c if(cone.eq.'S')cone='s'` `c if(cone.eq.'T')cone='t'` `c if(cone.eq.'U')cone='u'` `c if(cone.eq.'V')cone='v'` `c if(cone.eq.'W')cone='w'` `c if(cone.eq.'X')cone='x'` `c if(cone.eq.'Y')cone='y'` `c if(cone.eq.'Z')cone='z'` `c return` `c end` `c` `cc-----------------------------------------------------------------------` `c subroutine utlow3(cthree)` `cc-----------------------------------------------------------------------` `c character cthree3` `c do 1 i=1,3` `c1 call utlow(cthree(i:i))` `c return` `c end` `c` `cc-----------------------------------------------------------------------` `c subroutine utlow6(csix)` `cc-----------------------------------------------------------------------` `c character csix6` `c do 1 i=1,6` `c1 call utlow(csix(i:i))` `c return` `c end` `c` `cc-----------------------------------------------------------------------` `c function utmom(k,n,x,q)` `cc-----------------------------------------------------------------------` `cc calculates kth moment for f(x) with q(i)=int[0,x(i)]f(z)dz` `cc-----------------------------------------------------------------------` `c real x(n),q(n)` `c if(n.lt.2)call utstop('utmom : dimension too small&')` `c utmom=0` `c do 1 i=2,n` `c1 utmom=utmom+((x(i)+x(i-1))/2)*k(q(i)-q(i-1))` `c utmom=utmom/q(n)` `c return` `c end` `c` `c-----------------------------------------------------------------------` `function utpcm(a,b,c)` `c-----------------------------------------------------------------------` `c calculates cm momentum for a-->b+c` `c-----------------------------------------------------------------------` `val=(aa-bb-cc)(aa-bb-cc)-(2.bc)(2.bc)` `if(val.lt.0..and.val.gt.-1e-4)then` `utpcm=0` `return` `endif` `utpcm=sqrt(val)/(2.a)` `return` `end` `c-----------------------------------------------------------------------` `double precision function utpcmd(a,b,c,iret)` `c-----------------------------------------------------------------------` `c calculates cm momentum for a-->b+c` `c-----------------------------------------------------------------------` `double precision a,b,c,val` `iret=0` `val=(aa-bb-cc)(aa-bb-cc)-(2.bc)(2.bc)` `utpcmd=0d0` `if(val.lt.0d0.and.val.gt.-1d-4)then` `return` `elseif(val.lt.0d0)then` `iret=1` `return` `endif` `utpcmd=sqrt(val)/(2.d0a)` `return` `end` `c-----------------------------------------------------------------------` `subroutine utpri(text,ishi,ishini,ishx)` `c-----------------------------------------------------------------------` `include 'epos.inc'` `character6 text` `c double precision seedx !!!` `ishini=ishi` `if(ishevt.ne.0.and.nrevt+1.ne.ishevt)return` `if(nrpri.gt.0)then` `do nr=1,nrpri` `if(subpri(nr)(1:6).eq.text)then` `ishi=ishpri(nr)` `endif` `enddo` `endif` `if(ish.ge.ishx)then` `write(ifch,'(1x,43a)')` ` ('-',i=1,10),' entry ',text,' ',('-',i=1,30)` `c call ranfgt(seedx) !!!` `c if(ish.ge.ishx)write(ifch,)'seed:',seedx !!!` `endif` `return` `end` `c-----------------------------------------------------------------------` `subroutine utprix(text,ishi,ishini,ishx)` `c-----------------------------------------------------------------------` `include 'epos.inc'` `character6 text` `if(ishevt.ne.0.and.nrevt+1.ne.ishevt)return` `if(ish.ge.ishx)write(ifch,'(1x,44a)')` `('-',i=1,30),' exit ',text,' ',('-',i=1,11)` `ishi=ishini` `return` `end` `c-----------------------------------------------------------------------` `subroutine utprj(text,ishi,ishini,ishx)` `c-----------------------------------------------------------------------` `include 'epos.inc'` `character20 text` `c double precision seedx !!!` `idx=index(text,' ')-1` `ishini=ishi` `if(ishevt.ne.0.and.nrevt+1.ne.ishevt)return` `if(nrpri.gt.0)then` `do nr=1,nrpri` `if(subpri(nr)(1:idx).eq.text(1:idx))then` `ishi=ishpri(nr)` `endif` `enddo` `endif` `if(ish.ge.ishx)then` `write(ifch,'(1x,43a)')` `* ('-',i=1,10),' entry ',text(1:idx),' ',('-',i=1,30)` `c call ranfgt(seedx) !!!` `c if(ish.ge.ishx)write(ifch,)'seed:',seedx !!!` `endif` `return` `end` `c-----------------------------------------------------------------------` `subroutine utprjx(text,ishi,ishini,ishx)` `c-----------------------------------------------------------------------` `include 'epos.inc'` `character20 text` `idx=index(text,' ')-1` `if(ishevt.ne.0.and.nrevt+1.ne.ishevt)return` `if(ish.ge.ishx)write(ifch,'(1x,44a)')` `('-',i=1,30),' exit ',text(1:idx),' ',('-',i=1,11)` `ishi=ishini` `return` `end` `c-----------------------------------------------------------------------` `function utquad(m,x,f,k)` `c-----------------------------------------------------------------------` `c performs an integration according to simpson` `c-----------------------------------------------------------------------` `real x(m),f(m)` `utquad=0` `do 1 i=1,k-1` `1 utquad=utquad+(f(i)+f(i+1))/2(x(i+1)-x(i))` `return` `end` `c-----------------------------------------------------------------------` `subroutine utquaf(fu,n,x,q,x0,x1,x2,x3)` `c-----------------------------------------------------------------------` `c returns q(i) = integral [x(1)->x(i)] fu(x) dx` `c-----------------------------------------------------------------------` `include 'epos.inc'` `real x(n),q(n)` `parameter (m=10)` `real xa(m),fa(m)` `external fu` `if(x1.lt.x0.or.x2.lt.x1.or.x3.lt.x2)then` `if(ish.ge.1)then` `call utmsg('utquaf')` `write(ifch,)' xi=',x0,x1,x2,x3` `call utmsgf` `endif` `endif` `call utar(n/3,n2/3,n,x0,x1,x2,x3,x)` `q(1)=0` `do 2 i=2,n` `do 3 k=1,m` `z=x(i-1)+(k-1.)/(m-1.)(x(i)-x(i-1))` `xa(k)=z` `3 fa(k)=fu(z)` `q(i)=q(i-1)+utquad(m,xa,fa,m)` `2 continue` `return` `end` `c-----------------------------------------------------------------------` `subroutine utrepl(i,j)` `c-----------------------------------------------------------------------` `c i is replaced by j in /cptl/` `c-----------------------------------------------------------------------` `include 'epos.inc'` `do 1 k=1,5` `1 pptl(k,i) =pptl(k,j)` `iorptl(i) = 0 !iorptl(j)` `idptl(i) =idptl(j)` `istptl(i) =istptl(j)` `do 2 k=1,2` `2 tivptl(k,i)=tivptl(k,j)` `do 3 k=1,2` `3 ifrptl(k,i)= 0 !ifrptl(k,j)` `jorptl(i) = 0 !jorptl(j)` `do 4 k=1,4` `4 xorptl(k,i)=xorptl(k,j)` `do 5 k=1,4` `5 ibptl(k,i) =ibptl(k,j)` `ityptl(i) =ityptl(j)` `iaaptl(i) =iaaptl(j)` `radptl(i) =radptl(j)` `desptl(i) =desptl(j)` `dezptl(i) =dezptl(j)` `qsqptl(i) =qsqptl(j)` `zpaptl(1,i)=zpaptl(1,j)` `zpaptl(2,i)=zpaptl(2,j)` `itsptl(i) =itsptl(j)` `rinptl(i) =rinptl(j)` `return` `end` `c-----------------------------------------------------------------------` `subroutine utrepla(i,j)` `c-----------------------------------------------------------------------` `c i is replaced by j in /cptl/` `c-----------------------------------------------------------------------` `include 'epos.inc'` `do 1 k=1,5` `1 pptl(k,i) =pptl(k,j)` `iorptl(i) = iorptl(j)` `idptl(i) =idptl(j)` `istptl(i) =istptl(j)` `do 2 k=1,2` `2 tivptl(k,i)=tivptl(k,j)` `do 3 k=1,2` `3 ifrptl(k,i)= ifrptl(k,j)` `jorptl(i) = jorptl(j)` `do 4 k=1,4` `4 xorptl(k,i)=xorptl(k,j)` `do 5 k=1,4` `5 ibptl(k,i) =ibptl(k,j)` `ityptl(i) =ityptl(j)` `iaaptl(i) =iaaptl(j)` `radptl(i) =radptl(j)` `desptl(i) =desptl(j)` `dezptl(i) =dezptl(j)` `qsqptl(i) =qsqptl(j)` `zpaptl(1,i)=zpaptl(1,j)` `zpaptl(2,i)=zpaptl(2,j)` `itsptl(i) =itsptl(j)` `rinptl(i) =rinptl(j)` `return` `end` `cc-----------------------------------------------------------------------` `c subroutine utresm(icp1,icp2,icm1,icm2,amp,idpr,iadj,ireten)` `cc-----------------------------------------------------------------------` `c parameter (nflav=6)` `c integer icm(2),icp(2),jcm(nflav,2),jcp(nflav,2)` `c icm(1)=icm1` `c icm(2)=icm2` `c icp(1)=icp1` `c icp(2)=icp2` `c CALL IDDECO(ICM,JCM)` `c CALL IDDECO(ICP,JCP)` `c do 37 nf=1,nflav` `c do 37 k=1,2` `c37 jcP(nf,k)=jcp(nf,k)+jcm(nf,k)` `c CALL IDENCO(JCP,ICP,IRETEN)` `c IDP=IDTRA(ICP,0,0,3)` `c call idres(idp,amp,idpr,iadj)` `c return` `c end` `c` `cc-----------------------------------------------------------------------` `c subroutine utroa1(phi,a1,a2,a3,x1,x2,x3)` `cc-----------------------------------------------------------------------` `cc rotates x by angle phi around axis a.` `cc normalization of a is irrelevant.` `cc-----------------------------------------------------------------------` `c double precision aaa,aa(3),xxx,xx(3),e1(3),e2(3),e3(3),xp,xt,dphi` `c dphi=phi` `c xx(1)=x1` `c xx(2)=x2` `c xx(3)=x3` `c aa(1)=a1` `c aa(2)=a2` `c aa(3)=a3` `c aaa=0` `c xxx=0` `c do i=1,3` `c aaa=aaa+aa(i)2` `c xxx=xxx+xx(i)2` `c enddo` `c if(xxx.eq.0d0)return` `c if(aaa.eq.0d0)call utstop('utroa1: zero rotation axis&')` `c aaa=dsqrt(aaa)` `c xxx=dsqrt(xxx)` `cc e3 = a / !a!` `c do i=1,3` `c e3(i)=aa(i)/aaa` `c enddo` `cc x_parallel` `c xp=0` `c do i=1,3` `c xp=xp+xx(i)e3(i)` `c enddo` `cc x_transverse` `c if(xxx2-xp2.le.0.)return` `c xt=dsqrt(xxx2-xp2)` `cc e1 = vector x_transverse / absolute value x_transverse` `c do i=1,3` `c e1(i)=(xx(i)-e3(i)xp)/xt` `c enddo` `cc e2 orthogonal e3,e1` `c call utvec2(e3,e1,e2)` `cc rotate x` `c do i=1,3` `c xx(i)=xpe3(i)+xtdcos(dphi)e1(i)+xtdsin(dphi)e2(i)` `c enddo` `cc back to single precision` `c x1=xx(1)` `c x2=xx(2)` `c x3=xx(3)` `c return` `c end` `c` `c-----------------------------------------------------------------------` `subroutine utroa1(phi,a1,a2,a3,x1,x2,x3)` `c-----------------------------------------------------------------------` `c rotates x by angle phi around axis a (argument single precision)` `c normalization of a is irrelevant.` `c-----------------------------------------------------------------------` `double precision aa(3),xx(3),dphi` `dphi=phi` `xx(1)=x1` `xx(2)=x2` `xx(3)=x3` `aa(1)=a1` `aa(2)=a2` `aa(3)=a3` `call utroa2(dphi,aa(1),aa(2),aa(3),xx(1),xx(2),xx(3))` `c back to single precision` `x1=sngl(xx(1))` `x2=sngl(xx(2))` `x3=sngl(xx(3))` `return` `end` `c-----------------------------------------------------------------------` `subroutine utroa2(phi,a1,a2,a3,x1,x2,x3)` `c-----------------------------------------------------------------------` `c rotates x by angle phi around axis a.` `c normalization of a is irrelevant.` `c double precision phi,a1,a2,a3,x1,x2,x3` `c-----------------------------------------------------------------------` `double precision phi,a1,a2,a3,x1,x2,x3` `double precision aaa,aa(3),xxx,xx(3),e1(3),e2(3),e3(3),xp,xt,dphi` `dphi=phi` `xx(1)=x1` `xx(2)=x2` `xx(3)=x3` `aa(1)=a1` `aa(2)=a2` `aa(3)=a3` `aaa=0d0` `xxx=0d0` `do i=1,3` `aaa=aaa+aa(i)2` `xxx=xxx+xx(i)2` `enddo` `if(xxx.eq.0d0)return` `if(aaa.eq.0d0)call utstop('utroa1: zero rotation axis&')` `aaa=1.0/dsqrt(aaa)` `c e3 = a / !a!` `do i=1,3` `e3(i)=aa(i)aaa` `enddo` `c x_parallel` `xp=0` `do i=1,3` `xp=xp+xx(i)e3(i)` `enddo` `c x_transverse` `if(xxx-xp2.le.0.)return` `xt=dsqrt(xxx-xp2)` `c e1 = vector x_transverse / absolute value x_transverse` `do i=1,3` `e1(i)=(xx(i)-e3(i)xp)/xt` `enddo` `c e2 orthogonal e3,e1` `call utvec2(e3,e1,e2)` `c rotate x` `do i=1,3` `xx(i)=xpe3(i)+xtcos(dphi)e1(i)+xtsin(dphi)e2(i)` `enddo` `xxx=0d0` `do i=1,3` `xxx=xxx+xx(i)*2` `enddo` `c back to single precision` `x1=xx(1)` `x2=xx(2)` `x3=xx(3)` `return` `end` `cc--------------------------------------------------------------------` `c function utroot(funcd,x1,x2,xacc)` `cc--------------------------------------------------------------------` `cc combination of newton-raphson and bisection method for root finding` `cc input:` `cc funcd: subr returning fctn value and first derivative` `cc x1,x2: x-interval` `cc xacc: accuracy` `cc output:` `cc utroot: root` `cc--------------------------------------------------------------------` `c include 'epos.inc'` `c INTEGER MAXIT` `c REAL utroot,x1,x2,xacc` `c EXTERNAL funcd` `c PARAMETER (MAXIT=100)` `c INTEGER j` `c REAL df,dx,dxold,f,fh,fl,temp,xh,xl` `c call funcd(x1,fl,df)` `c call funcd(x2,fh,df)` `c if((fl.gt.0..and.fh.gt.0.).or.(fl.lt.0..and.fh.lt.0.))` `c call utstop('utroot: root must be bracketed&')` `c if(fl.eq.0.)then` `c utroot=x1` `c return` `c else if(fh.eq.0.)then` `c utroot=x2` `c return` `c else if(fl.lt.0.)then` `c xl=x1` `c xh=x2` `c else` `c xh=x1` `c xl=x2` `c endif` `c utroot=.5(x1+x2)` `c dxold=abs(x2-x1)` `c dx=dxold` `c call funcd(utroot,f,df)` `c do 11 j=1,MAXIT` `c if(((utroot-xh)df-f)((utroot-xl)df-f).ge.0..or. abs(2.` `c f).gt.abs(dxolddf) ) then` `c dxold=dx` `c dx=0.5(xh-xl)` `c utroot=xl+dx` `c if(xl.eq.utroot)return` `c else` `c dxold=dx` `c dx=f/df` `c temp=utroot` `c utroot=utroot-dx` `c if(temp.eq.utroot)return` `c endif` `c if(abs(dx).lt.xacc) return` `c call funcd(utroot,f,df)` `c if(f.lt.0.) then` `c xl=utroot` `c else` `c xh=utroot` `c endif` `c11 continue` `c call utmsg('utroot')` `c write(ifch,)'**** exceeding maximum iterations'` `c write(ifch,)'dx:',dx` `c call utmsgf` `c return` `c END` `c` `c-----------------------------------------------------------------------` `subroutine utrot2(isig,ax,ay,az,x,y,z)` `c-----------------------------------------------------------------------` `c performs a rotation, double prec.` `c-----------------------------------------------------------------------` `include 'epos.inc'` `double precision ax,ay,az,x,y,z,rx,ry,rz` `,alp,bet,cosa,sina,cosb,sinb,xs,ys,zs` `if(ax2.eq.0.and.ay2.eq.0.and.az*2.eq.0.)then` `write(ifch,)'ax2,ay2,az2:',ax2,ay2,az2` `write(ifch,)'ax,ay,az:',ax,ay,az` `call utstop('utrot2: zero vector.&')` `endif` `if(az.ge.0.)then` `rx=ax` `ry=ay` `rz=az` `else` `rx=-ax` `ry=-ay` `rz=-az` `endif` `if(rz2+ry2.ne.0.)then` `alp=dabs(dacos(rz/dsqrt(rz2+ry2)))sign(1.,sngl(ry))` `bet=` `dabs(dacos(dsqrt(rz2+ry2)/dsqrt(rz2+ry2+rx2)))` `sign(1.,sngl(rx))` `else` `alp=3.1415927d0/2d0` `bet=3.1415927d0/2d0` `endif` `cosa=dcos(alp)` `sina=dsin(alp)` `cosb=dcos(bet)` `sinb=dsin(bet)` `if(isig.ge.0)then` `xs=xcosb-ysinasinb-zcosasinb` `ys= ycosa -zsina` `zs=xsinb+ysinacosb+zcosacosb` `else !if(isig.lt.0)then` `xs= xcosb +zsinb` `ys=-xsinbsina+ycosa+zcosbsina` `zs=-xsinbcosa-ysina+zcosbcosa` `endif` `x=xs` `y=ys` `z=zs` `return` `end` `c-----------------------------------------------------------------------` `subroutine utrot4(isig,ax,ay,az,x,y,z)` `c-----------------------------------------------------------------------` `c performs a rotation, double prec.` `c arguments partly single` `c-----------------------------------------------------------------------` `double precision ax,ay,az,xx,yy,zz` `xx=dble(x)` `yy=dble(y)` `zz=dble(z)` `call utrot2(isig,ax,ay,az,xx,yy,zz)` `x=sngl(xx)` `y=sngl(yy)` `z=sngl(zz)` `return` `end` `c-----------------------------------------------------------------------` `subroutine utrota(isig,ax,ay,az,x,y,z)` `c-----------------------------------------------------------------------` `c performs a rotation` `c-----------------------------------------------------------------------` `if(az.ge.0.)then` `rx=ax` `ry=ay` `rz=az` `else` `rx=-ax` `ry=-ay` `rz=-az` `endif` `if(rz.eq.0..and.ry.eq.0.)then` `alp=0.` `stop` `else` `alp=abs(utacos(rz/sqrt(rz2+ry2)))sign(1.,ry)` `endif` `bet=` `abs(utacos(sqrt(rz2+ry2)/sqrt(rz2+ry2+rx2)))sign(1.,rx)` `cosa=cos(alp)` `sina=sin(alp)` `cosb=cos(bet)` `sinb=sin(bet)` `if(isig.ge.0)then` `xs=xcosb-ysinasinb-zcosasinb` `ys= ycosa -zsina` `zs=xsinb+ysinacosb+zcosacosb` `else !if(isig.lt.0)then` `xs= xcosb +zsinb` `ys=-xsinbsina+ycosa+zcosbsina` `zs=-xsinbcosa-ysina+zcosbcosa` `endif` `x=xs` `y=ys` `z=zs` `return` `end` `c-----------------------------------------------------------------------` `subroutine utstop(text)` `c-----------------------------------------------------------------------` `c returns error message and stops execution.` `c text is an optonal text to appear in the error message.` `c text is a character string of length 40;` `c for shorter text, it has to be terminated by &;` `c example: call utstop('error in subr xyz&')` `c-----------------------------------------------------------------------` `include 'epos.inc'` `c parameter(itext=40)` `character text() ,txt6` `imax=index(text,'&')` `do 1 j=1,2` `if(j.eq.1)then` `ifi=ifch` `else !if(j.eq.2)` `ifi=ifmt` `endif` `if(imax.gt.1)then` `write(ifi,101)('',k=1,72),text(1:imax-1)` `,nrevt+1,nint(seedj),seedc,('',k=1,72)` `else` `write(ifi,101)('',k=1,72),' '` `,nrevt+1,nint(seedj),seedc,('',k=1,72)` `endif` `101 format(` `1x,72a1` `/1x,'**** stop in ',a` `/1x,'**** current event number: ',i12` `/1x,'**** initial seed for current run:',i10` `/1x,'**** initial seed for current event:',d25.15` `/1x,72a1)` `1 continue` `c c=0.` `c b=a/c` `stop` `entry utmsg(txt)` `imsg=imsg+1` `write(ifch,'(1x,74a1)')('',j=1,72)` `write(ifch,100)txt,nrevt+1,nint(seedj),seedc` `100 format(1x,'***** msg from ',a6,'. es:',i7,2x,i9,2x,d23.17)` `return` `entry utmsgf` `if(ish.eq.1)return` `write(ifch,'(1x,74a1)')('',j=1,72)` `end` `c-----------------------------------------------------------------` `subroutine uttrap(func,a,b,s)` `c-----------------------------------------------------------------` `c trapezoidal method for integration.` `c input: fctn func and limits a,b` `c output: value s of the integral` `c-----------------------------------------------------------------` `include 'epos.inc'` `INTEGER JMAX` `REAL a,b,func,s` `EXTERNAL func` `PARAMETER (JMAX=10)` `CU USES uttras` `INTEGER j` `REAL olds` `olds=-1.e30` `do 11 j=1,JMAX` `if(ish.ge.9)write(ifch,)'sr uttrap: j:',j` `call uttras(func,a,b,s,j)` `ds=abs(s-olds)` `if (ds.lt.epsrabs(olds)) return` `olds=s` `11 continue` `c-c nepsr=nepsr+1` `if(ish.ge.9)then` `call utmsg('uttrap')` `write(ifch,)` `'**** requested accuracy could not be achieved'` `write(ifch,)'achieved accuracy: ',ds/abs(olds)` `write(ifch,)'requested accuracy:',epsr` `call utmsgf` `endif` `END` `c-----------------------------------------------------------------` `subroutine uttraq(func,a,b,s)` `c-----------------------------------------------------------------` `c trapezoidal method for integration.` `c input: function func and limits a,b` `c output: value s of the integral` `c-----------------------------------------------------------------` `REAL a,b,func,s` `EXTERNAL func` `PARAMETER (eps=1.e-6)` `CU USES uttras` `INTEGER j` `REAL olds` `olds=-1.e30` `j=1` `10 call uttras(func,a,b,s,j)` `ds=abs(s-olds)` `if (ds.le.epsabs(olds)) return` `olds=s` `if(j.ge.15)return` `j=j+1` `goto10` `END` `c-----------------------------------------------------------------` `subroutine uttras(func,a,b,s,n)` `c-----------------------------------------------------------------` `c performs one iteration of the trapezoidal method for integration` `c-----------------------------------------------------------------` `INTEGER n` `REAL a,b,s,func` `EXTERNAL func` `INTEGER it,j` `REAL del,sum,tnm,x` `if (n.eq.1) then` `s=0.5(b-a)(func(a)+func(b))` `else` `it=2(n-2)` `tnm=it` `del=(b-a)/tnm` `x=a+0.5del` `sum=0.` `do 11 j=1,it` `sum=sum+func(x)` `x=x+del` `11 continue` `s=0.5(s+(b-a)sum/tnm)` `endif` `return` `END` `cc-----------------------------------------------------------------------` `c subroutine utvec1(a,b,c)` `cc-----------------------------------------------------------------------` `cc returns vector product c = a x b .` `cc-----------------------------------------------------------------------` `c real a(3),b(3),c(3)` `c c(1)=a(2)b(3)-a(3)b(2)` `c c(2)=a(3)b(1)-a(1)b(3)` `c c(3)=a(1)b(2)-a(2)b(1)` `c return` `c end` `c` `c-----------------------------------------------------------------------` `subroutine utvec2(a,b,c)` `c-----------------------------------------------------------------------` `c returns vector product c = a x b .` `c a,b,c double precision.` `c-----------------------------------------------------------------------` `double precision a(3),b(3),c(3)` `c(1)=a(2)b(3)-a(3)b(2)` `c(2)=a(3)b(1)-a(1)b(3)` `c(3)=a(1)b(2)-a(2)b(1)` `return` `end` `c-------------------------------------------------------------------` `subroutine utword(line,i,j,iqu)` `c-------------------------------------------------------------------` `c finds the first word of the character string line(j+1:1000).` `c the word is line(i:j) (with new i and j).` `c if j<0 or if no word found --> new line read.` `c a text between quotes "..." is considered one word;` `c stronger: a text between double quotes ""..."" is consid one word` `c stronger: a text between "{ and }" is considered one word` `c-------------------------------------------------------------------` `c input:` `c line: character string (1000)` `c i: integer between 1 and 1000` `c iqu: for iqu=1 a "?" is written to output before reading a line,` `c otherwise (iqu/=1) nothing is typed` `c output:` `c i,j: left and right end of word (word=line(i:j))` `c-------------------------------------------------------------------` `include 'epos.inc'` `parameter(mempty=2)` `character1 empty(mempty),mk` `character line1000` `character2 mrk` `data empty/' ',','/` `parameter(mxdefine=40)` `character w1define100,w2define100` `common/cdefine/ndefine,l1define(mxdefine),l2define(mxdefine)` `& ,w1define(mxdefine),w2define(mxdefine)` `j0=0` `if(j.ge.0)then` `i=j` `goto 1` `endif` `5 continue` `if(iqu.eq.1.and.iprmpt.gt.0)write(ifmt,'(a)')'?'` `if(nopen.eq.0)then` `ifopx=ifop` `elseif(nopen.gt.0)then` `ifopx=20+nopen` `else !if(nopen.lt.0)` `ifopx=ifcp` `endif` `read(ifopx,'(a1000)',end=9999)line` `if(iecho.eq.1.or.(nopen.ge.0.and.kcpopen.eq.1))then` `kmax=2` `do k=3,1000` `if(line(k:k).ne.' ')kmax=k` `enddo` `else` `kmax=0` `endif` `if(nopen.ge.0.and.kcpopen.eq.1)` `& write(ifcp,'(a)')line(1:kmax)` `if(iecho.eq.1)` `& write(ifmt,'(a)')line(1:kmax)` `i=0` `1 i=i+1` `if(i.gt.1000)goto 5` `if(line(i:i).eq.'!')goto 5` `do ne=1,mempty` `if(line(i:i).eq.empty(ne))goto 1` `enddo` `nbla=1` `mrk=' '` `mk=' '` `if(line(i:i).eq.'~')mk='~'` `if(line(i:i+1).eq.'"{')mrk='}"'` `if(line(i:i+1).eq.'""')mrk='""'` `if(mrk.ne.' ')goto 10` `if(line(i:i).eq.'"')mk='"'` `if(mk.ne.' ')goto 8` `j=i-1` `6 j=j+1` `if(j.gt.1000)goto 7` `if(line(j:j).eq.'!')goto 7` `do ne=1,mempty` `if(line(j:j).eq.empty(ne))goto 7` `enddo` `goto 6` `8 continue` `if(i.ge.1000-1)stop'utword: make line shorter!!! '` `i=i+1` `j=i` `if(line(j:j).eq.mk)stop'utword: empty string!!! '` `9 j=j+1` `if(j.gt.1000)then !reach the end of the line` `j=j-nbla+2` `goto 7` `endif` `if(line(j:j).eq.' ')then` `nbla=nbla+1` `else` `nbla=2` `endif` `if(line(j:j).eq.mk)then` `line(i-1:i-1)=' '` `line(j:j)=' '` `goto 7` `endif` `goto 9` `10 continue` `if(i.ge.1000-3)stop'utword: make line shorter!!!! '` `i=i+2` `j=i` `if(line(j:j+1).eq.mrk)stop'utword: empty string!!!! '` `11 j=j+1` `if(j.gt.1000-1)then !reach the end of the line` `j=j-nbla+2` `goto 7` `endif` `if(line(j:j+1).eq.mrk)then` `line(i-2:i-1)=' '` `line(j:j+1)=' '` `goto 7` `endif` `if(line(j:j).eq.' ')then` `nbla=nbla+1` `else` `nbla=2` `endif` `goto 11` `7 j=j-1` `!--------#define---------------` `if(ndefine.gt.0)then` `do ndf=1,ndefine` `l1=l1define(ndf)` `l2=l2define(ndf)` `do i0=i,j+1-l1` `if(line(i0:i0-1+l1).eq.w1define(ndf)(1:l1))then` `if(l2.eq.l1)then` `line(i0:i0-1+l1)=w2define(ndf)(1:l2)` `elseif(l2.lt.l1)then` `line(i0:i0+l2-1)=w2define(ndf)(1:l2)` `do k=i0+l2,i0-1+l1` `line(k:k)=' '` `enddo` `elseif(l2.gt.l1)then` `do k=i0+l1,i0+l2-1` `if(line(k:k).ne.' ')` & stop'utword: no space for `define` replacement. ' `enddo` `line(i0:i0+l2-1)=w2define(ndf)(1:l2)` `j=i0+l2-1` `endif` `endif` `enddo` `enddo` `do k=i,j` `if(line(k:k).ne.' ')j0=j` `enddo` `j=j0` `endif` `!--------` `return` `9999 close(ifopx)` `nopen=nopen-1` `if(nopen.eq.0.and.iprmpt.eq.-1)iprmpt=1` `goto 5` `end` `c--------------------------------------------------------------------` `subroutine utworn(line,j,ne)` `c--------------------------------------------------------------------` `c returns number ne of nonempty characters of line(j+1:1000)` `c--------------------------------------------------------------------` `character line1000` `ne=0` `do l=j+1,1000` `if(line(l:l).ne.' ')ne=ne+1` `enddo` `return` `end` `c-----------------------------------------------------------------------` `subroutine getairmol(iz,ia)` `c-----------------------------------------------------------------------` `include 'epos.inc'` `i=0` `r=rangen()` `do while(r.gt.0.) ! choose air-molecule` `i=i+1` `r=r-airwnxs(i)` `enddo` `iz = nint(airznxs(i))` `ia = nint(airanxs(i))` `end` `c----------------------------------------------------------------------` `subroutine factoriel` `c----------------------------------------------------------------------` `c tabulation of fctrl(n)=n!, facto(n)=1/n! and utgamtab(x) for x=0 to 50` `c----------------------------------------------------------------------` `include 'epos.incems'` `double precision utgamtab,utgam,x` `common/gamtab/utgamtab(10000)` `nfctrl=100` `fctrl(0)=1.D0` `facto(0)=1.D0` `do i=1,min(npommx,nfctrl)` `fctrl(i)=fctrl(i-1)dble(i)` `facto(i)=1.d0/fctrl(i)` `enddo` `do k=1,10000` `x=dble(k)/100.d0` `utgamtab(k)=utgam(x)` `enddo` `return` `end` `c-----------------------------------------------------------------------` `subroutine fremnu(amin,ca,cb,ca0,cb0,ic1,ic2,ic3,ic4)` `c-----------------------------------------------------------------------` `common/hadr2/iomodl,idproj,idtarg,wexcit` `real pnll,ptq` `common/hadr1/pnll,ptq,exmass,cutmss,wproj,wtarg` `parameter (nflav=6)` `integer ic(2),jc(nflav,2)` `ic(1)=ca` `ic(2)=cb` `call iddeco(ic,jc)` `keu=jc(1,1)-jc(1,2)` `ked=jc(2,1)-jc(2,2)` `kes=jc(3,1)-jc(3,2)` `kec=jc(4,1)-jc(4,2)` `keb=jc(5,1)-jc(5,2)` `ket=jc(6,1)-jc(6,2)` `amin=utamnu(keu,ked,kes,kec,keb,ket,5) !???4=2mults, 5=1mult` `if(ca-ca0.eq.0..and.cb-cb0.eq.0..and.rangen().gt.wexcit)then` `ic3=0` `ic4=0` `ic1=ca` `ic2=cb` `else` `amin=amin+exmass` `n=0` `do i=1,4` `do j=1,2` `n=n+jc(i,j)` `enddo` `enddo` `k=1+rangen()n` `do i=1,4` `do j=1,2` `k=k-jc(i,j)` `if(k.le.0)goto 1` `enddo` `enddo` `1 if(j.eq.1)then` `ic3=10(6-i)` `ic4=0` `else` `ic3=0` `ic4=10(6-i)` `endif` `ic1=int(ca)-ic3` `ic2=int(cb)-ic4` `endif` `return` `end` `c-----------------------------------------------------------------------` `function fremnux(jc)` `c-----------------------------------------------------------------------` `real pnll,ptq` `common/hadr1/pnll,ptq,exmass,cutmss,wproj,wtarg` `parameter (nflav=6)` `integer jc(nflav,2)!,ic(2)` `c ic(1)=210000` `c ic(2)=0` `c call iddeco(ic,jc)` `keu=jc(1,1)-jc(1,2)` `ked=jc(2,1)-jc(2,2)` `kes=jc(3,1)-jc(3,2)` `kec=jc(4,1)-jc(4,2)` `keb=jc(5,1)-jc(5,2)` `ket=jc(6,1)-jc(6,2)` `fremnux=utamnu(keu,ked,kes,kec,keb,ket,4) !+exmass !???4=2mults, 5=1mult` `return` `end` `c-----------------------------------------------------------------------` `function fremnux2(jc)` `c-----------------------------------------------------------------------` `real pnll,ptq` `common/hadr1/pnll,ptq,exmass,cutmss,wproj,wtarg` `parameter (nflav=6)` `integer jc(nflav,2)!,ic(2)` `c ic(1)=210000` `c ic(2)=0` `c call iddeco(ic,jc)` `keu=jc(1,1)-jc(1,2)` `ked=jc(2,1)-jc(2,2)` `kes=jc(3,1)-jc(3,2)` `kec=jc(4,1)-jc(4,2)` `keb=jc(5,1)-jc(5,2)` `ket=jc(6,1)-jc(6,2)` `fremnux2=utamnu(keu,ked,kes,kec,keb,ket,5) !+exmass !???4=2mults, 5=1mult` `return` `end` `c-----------------------------------------------------------------------` `function fremnux3(jci)` `c-----------------------------------------------------------------------` `c minimum mass from ic counting all quarks` `c-----------------------------------------------------------------------` `include 'epos.inc'` `integer jc(nflav,2),jci(nflav,2)!,ic(2)` `c ic(1)=210000` `c ic(2)=0` `c print ,'start',ic` `fremnux3=0.` `do j=1,2` `do i=1,nflav` `jc(i,j)=jci(i,j)` `enddo` `enddo` `c call iddeco(ic,jc)` `call idquacjc(jc,nqua,naqu)` `do ii=1,2` `if(ii.eq.1)then` `nqu=nqua` `else` `nqu=naqu` `endif` `if(nqu.ge.3)then` `do while(jc(3,ii).ne.0.and.nqu.ge.3) !count baryons with s quark` `jc(3,ii)=jc(3,ii)-1` `if(jc(3,ii).gt.0)then` `jc(3,ii)=jc(3,ii)-1` `if(jc(3,ii).gt.0)then` `jc(3,ii)=jc(3,ii)-1` `fremnux3=fremnux3+asuhax(4)` `elseif(jc(2,ii).gt.0)then` `jc(2,ii)=jc(2,ii)-1` `fremnux3=fremnux3+asuhax(4)` `elseif(jc(1,ii).gt.0)then` `jc(1,ii)=jc(1,ii)-1` `fremnux3=fremnux3+asuhax(4)` `endif` `elseif(jc(2,ii).gt.0)then` `jc(2,ii)=jc(2,ii)-1` `if(jc(1,ii).gt.0)then` `jc(1,ii)=jc(1,ii)-1` `fremnux3=fremnux3+asuhax(3)` `elseif(jc(2,ii).gt.0)then` `jc(2,ii)=jc(2,ii)-1` `fremnux3=fremnux3+asuhax(3)` `endif` `elseif(jc(1,ii).gt.0)then` `jc(1,ii)=jc(1,ii)-2` `fremnux3=fremnux3+asuhay(3)` `endif` `nqu=nqu-3` `enddo` `do while(jc(2,ii).ne.0.and.nqu.ge.3) !count baryons with d quark` `jc(2,ii)=jc(2,ii)-1` `if(jc(1,ii).gt.0)then` `jc(1,ii)=jc(1,ii)-1` `if(jc(2,ii).gt.0)then` `jc(2,ii)=jc(2,ii)-1` `fremnux3=fremnux3+asuhay(2)` `elseif(jc(1,ii).gt.0)then` `jc(1,ii)=jc(1,ii)-1` `fremnux3=fremnux3+asuhay(2)` `endif` `elseif(jc(2,ii).gt.0)then` `jc(2,ii)=jc(2,ii)-2` `fremnux3=fremnux3+asuhay(3)` `endif` `nqu=nqu-3` `enddo` `do while(jc(1,ii).ne.0.and.nqu.ge.3) !count baryons with s quark` `jc(1,ii)=jc(1,ii)-3` `fremnux3=fremnux3+asuhay(3)` `nqu=nqu-3` `enddo` `if(ii.eq.1)then` `nqua=nqu` `else` `naqu=nqu` `endif` `endif` `c print ,ii,nqua,naqu,jc,fremnux3` `enddo` `if(nqua+naqu.ne.0)then` `do while(jc(3,1).ne.0) !count mesons with s quark` `jc(3,1)=jc(3,1)-1` `if(jc(3,2).gt.0)then` `jc(3,2)=jc(3,2)-1` `fremnux3=fremnux3+asuhax(6)` `elseif(jc(2,2).gt.0)then` `jc(2,2)=jc(2,2)-1` `fremnux3=fremnux3+asuhay(6)` `elseif(jc(1,2).gt.0)then` `jc(1,2)=jc(1,2)-1` `fremnux3=fremnux3+asuhay(6)` `endif` `enddo` `do while(jc(2,1).ne.0) !count mesons with d quark` `jc(2,1)=jc(2,1)-1` `if(jc(2,2).gt.0)then` `jc(2,2)=jc(2,2)-1` `fremnux3=fremnux3+asuhay(5)` `elseif(jc(1,2).gt.0)then` `jc(1,2)=jc(1,2)-1` `fremnux3=fremnux3+asuhay(5)` `endif` `enddo` `do while(jc(1,1).ne.0) !count mesons with s quark` `jc(1,1)=jc(1,1)-1` `if(jc(1,2).gt.0)then` `jc(1,2)=jc(1,2)-1` `fremnux3=fremnux3+asuhay(5)` `endif` `enddo` `endif` `c fremnux3=fremnux3+0.5` `c print ,'stop',nqua,naqu,fremnux3` `return` `end` `c-----------------------------------------------------------------------` `subroutine fremnx(ammax,amin,sm,ic3,ic4,iret)` `c-----------------------------------------------------------------------` `common/psar9/ alpr` `include 'epos.inc'` `iret=0` `if(ic3.eq.0.and.ic4.eq.0)then` `if(ammax.lt.amin2)then` `iret=1` `return` `endif` `sm=amin2` `else` `c ammax1=min(ammax,(engy/4.)2)` `ammax1=ammax` `if(ammax1.lt.amin2)then` `iret=1` `return` `endif` `if(alpr.eq.-1.)then` `sm=amin*2(ammax1/amin2)rangen()` `else` `sm=amin*2(1.+((ammax1/amin2)(1.+alpr)-1.)` `* rangen())(1./(1.+alpr))` `endif` `endif` `return` `end` `SUBROUTINE gaulag(x,w,n,alf)` `INTEGER n,MAXIT` `REAL alf,w(n),x(n)` `DOUBLE PRECISION EPS` `PARAMETER (EPS=3.D-14,MAXIT=10)` `CU USES gammln` `INTEGER i,its,j` `REAL ai,gammln` `DOUBLE PRECISION p1,p2,p3,pp,z,z1` `z=0.` `do 13 i=1,n` `if(i.eq.1)then` `z=(1.+alf)(3.+.92alf)/(1.+2.4n+1.8alf)` `else if(i.eq.2)then` `z=z+(15.+6.25alf)/(1.+.9alf+2.5n)` `else` `ai=i-2` `z=z+((1.+2.55ai)/(1.9ai)+1.26aialf/(1.+3.5ai))` `(z-x(i-2))/(1.+.3alf)` `endif` `do 12 its=1,MAXIT` `p1=1.d0` `p2=0.d0` `do 11 j=1,n` `p3=p2` `p2=p1` `p1=((2j-1+alf-z)p2-(j-1+alf)p3)/j` `11 continue` `pp=(np1-(n+alf)p2)/z` `z1=z` `z=z1-p1/pp` `if(abs(z-z1).le.EPS)goto 1` `12 continue` `call utstop("too many iterations in gaulag")` `1 x(i)=z` `w(i)=-exp(gammln(alf+n)-gammln(float(n)))/(ppnp2)` `13 continue` `return` `END` `C (C) Copr. 1986-92 Numerical Recipes Software 4+1$!].` `FUNCTION gammln(xx)` `REAL gammln,xx` `INTEGER j` `DOUBLE PRECISION ser,stp,tmp,x,y,cof(6)` `SAVE cof,stp` `DATA cof,stp/76.18009172947146d0,-86.50532032941677d0,` `24.01409824083091d0,-1.231739572450155d0,.1208650973866179d-2,` `-.5395239384953d-5,2.5066282746310005d0/` `x=xx` `y=x` `tmp=x+5.5d0` `tmp=(x+0.5d0)log(tmp)-tmp` `ser=1.000000000190015d0` `do 11 j=1,6` `y=y+1.d0` `ser=ser+cof(j)/y` `11 continue` `gammln=tmp+log(stpser/x)` `return` `END` `C (C) Copr. 1986-92 Numerical Recipes Software 4+1$!].` `function polar(x,y)` `pi=3.1415927` `if(abs(x).gt.1.e-6)then` `phi=atan(y/x)` `if(x.lt.0.)phi=pi+phi` `if(phi.lt.0)phi=2pi+phi` `else` `phi=0.5*pi` `if(y.lt.0)phi=phi+pi` `endif` `polar=phi` `end` `subroutine getJKNcentr` `end`

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c-----------------------------------------------------------------------
      subroutine utresc(iret)
c-----------------------------------------------------------------------
c  if irescl=1 rescaling is done, otherwise the purpose of going through
c  this routine is to not change the seed in case of no rescaling
c-----------------------------------------------------------------------
      include 'epos.inc'
      include 'epos.incems'
      double precision p1,esoll,ppp,seedp,psoll,pt1soll,pt2soll
      dimension p1(5),p2(4),p0(5,mamx+mamx),pini(mxptl)
      logical force,nolead(mxptl),lspec(mxptl),lim
      data scalmean/0./scalevt/0./
      save scalmean,scalevt
      call utpri('utresc',ish,ishini,4)

      errlim=0.005 !max(0.001,1./engy)
      if(iLHC.eq.1)errlim=max(0.00005,0.5/engy)

      iret=0
      nptlpt=iabs(maproj)+iabs(matarg)
      call ranfgt(seedp)        !not to change the seed ...
      if(nptl.le.nptlpt) goto 9999

      if(ish.ge.8)then
        call alistf('list before boost&')
      endif
      esoll=0.d0
      psoll=0.d0
      p1(1)=0.d0
      p1(2)=0.d0
      p1(3)=0.d0
      p1(4)=0.d0
      p2(3)=0.d0
      p2(4)=0.d0
      ipmax=4
      imin=nptlpt+1
      if(iappl.eq.1)then
        imin=1
        ipmax=2
        if(iLHC.eq.1)ipmax=0
      endif
c store projectile and target in p0 and sum pz an E in p1(3) and p1(4)
      do i=1,nptlpt
        nolead(i)=.false.
        do j=1,5
          p0(j,i)=dble(pptl(j,i))
        enddo
c calculate total energy of primaries
c       if(mod(istptl(i),10).eq.1)then
          do j=ipmax+1,4
            p1(j)=p1(j)+dble(pptl(j,i))
          enddo
c       endif
c calculate total energy of secondaries
        if(mod(istptl(i),10).eq.0)then
          do j=ipmax+1,4
            p2(j)=p2(j)+dble(pptl(j,i))
          enddo
        endif
      enddo
c fix secondaries counted in the system
      do i=nptlpt+1,nptl
       if(mod(istptl(i),10).eq.0)then
c check maximum energy
         if(iLHC.eq.1.and.pptl(4,i).gt.engy*0.51)then
           if(ish.ge.1)write(ifch,*)'Energy of particle too high !'
     &                                     ,i,ityptl(i),pptl(4,i)
c           call utstop('utresc&')
           if(ityptl(i).eq.48.or.ityptl(i).eq.58  !diffractive resonance
     &    .or.ityptl(i).eq.47.or.ityptl(i).eq.57)then   !active spectators
             pptl(4,i)=0.5*engy
             amt=sqrt(pptl(1,i)**2+pptl(2,i)**2+pptl(5,i)**2)
             pptl(3,i)=(pptl(4,i)+amt)*(pptl(4,i)-amt)
             if(pptl(3,i).gt.0.)then
               pptl(3,i)=sqrt(pptl(3,i))
             else
               iret=1
             endif
           else
             iret=1
           endif
           if(iret.eq.1)then
             if(ish.ge.1)write(ifch,*)'Warning in utresc: redo event...'
c             call utstop('Energy of particle too high !&')
             goto 9999
           endif
         endif
c fix pt (p1(1) and p2(1)) from secondaries
         do j=1,ipmax
           p1(j)=p1(j)+dble(pptl(j,i))
         enddo
c calculate total energy of secondaries
         do j=ipmax+1,4
           p2(j)=p2(j)+dble(pptl(j,i))
         enddo
         lspec(i)=.false.
         if(((ityptl(i).eq.45.or.ityptl(i).eq.48).and.maproj.ge.100)
     &  .or.((ityptl(i).eq.55.or.ityptl(i).eq.58).and.matarg.ge.100))
     &   lspec(i)=.true.
         if((abs(pptl(3,i)/pnullx).le.0.9
     & .and.abs(pptl(3,i)).gt.pptl(5,i)).or.lspec(i))then
           nolead(i)=.true.
c           write(ifch,*)'nolead',i
         else
           nolead(i)=.false.
c           write(ifch,*)'lead',i
         endif
       endif
      enddo
      psoll=max(dble(pnullx),abs(p1(3)))
c check if energy is conserved before boost
      if(iappl.eq.1)then
        diff=abs(p2(3)-p1(3))
        scal=p2(4)/p1(4)
        if(abs(scal-1.).le.errlim.and.abs(diff/psoll).lt.errlim
     &     .and.(iLHC.eq.0.or.
     &    (abs(p2(1)).lt.errlim.and.abs(p2(2)).lt.errlim)))then
          if(ish.ge.4) 
     & write (ifch,'(2x,a,2g14.6)') 'Energy OK: ',scal,abs(diff/psoll)
          goto 9999
        else
         diff=0.
         scal=1.
        endif
      endif
c calculate boost vector to have sum of pt=0 and sum of pz=0
      ppp=(p1(4)+p1(3))*(p1(4)-p1(3))-p1(2)*p1(2)-p1(1)*p1(1)
      if(ppp.gt.0.d0)then
        p1(5)=sqrt(ppp)
      else
        iret=1
        write(ifch,*)'p1',p1(1),p1(2),p1(3),p1(4),ppp
        if(ish.ge.2)write (ifch,*) 'Problem in utresc (1): redo event'
        write (ifmt,*) 'Problem in utresc (1): redo event'
c       call utstop('utresc&')
        goto 9999
      endif
      esoll=p1(5)
      if(ish.ge.4) write (ifch,'(a,5g14.6)') 'boost-vector: ',p1

c     trafo
c     -----
      pmax=0.d0
      npart=0
      pt1soll=0.d0
      pt2soll=0.d0
      do i=imin,nptl
        if(mod(istptl(i),10).le.1)then
          call utlob4(1,p1(1),p1(2),p1(3),p1(4),p1(5)
     $         ,pptl(1,i),pptl(2,i),pptl(3,i),pptl(4,i))
          if(mod(istptl(i),10).eq.0.and.i.gt.nptlpt)then
            npart=npart+1
            pt1soll=pt1soll+dble(pptl(1,i))
            pt2soll=pt2soll+dble(pptl(2,i))
          endif
        endif
        if(i.gt.nptlpt.and.nolead(i))pmax=max(pmax,abs(pptl(3,i)))
      enddo

      if(ish.ge.6)then
        call alistf('list after boost&')
      endif

      if(ish.ge.5)write(ifch,'(a)')'--------rescale momenta----------'

      if(iLHC.eq.1)then

        if(ish.ge.6)write(ifch,*)'ptsoll:',pt1soll,pt2soll,npart
        pt1soll=pt1soll/dble(npart)
        pt2soll=pt2soll/dble(npart)
        do i=nptlpt+1,nptl
          if(mod(istptl(i),10).eq.0)then
            pptl(1,i)=pptl(1,i)-sngl(pt1soll)
            pptl(2,i)=pptl(2,i)-sngl(pt2soll)
            pptl(4,i)=sqrt(pptl(1,i)**2+pptl(2,i)**2
     &                    +pptl(3,i)**2+pptl(5,i)**2)
          endif
        enddo

      endif

      if(ish.ge.6)write(ifch,*)'esoll,psoll,pmax:',esoll,psoll,pmax

c     rescale momenta in rest frame
c     -----------------------------
      scal=1.
      diff0=0.
c      ndif0=1
      ferr=0.05
      force=.false.
      npart=nptl-imin+1
      do ipass=1,300
        sum=0.
        sum3=0.
        difft=diff0
        ndif=0
        nfirst=int(rangen()*float(npart))    !start list randomly
        do  i=0,npart-1
          j=imin+i+nfirst
          if(j.gt.nptl)j=imin+i+nfirst-npart
          if(mod(istptl(j),10).eq.0)then
c modified particles
            if(nolead(j))then
c            if(j.gt.nptlpt)then
c            if(abs(pptl(3,j))/pnullx.lt.0.9)then  !not spectator or diffraction
              if(scal.eq.1..and.abs(diff0).lt.1.e-6)then
                ndif=ndif+1
                pini(j)=pptl(3,j)
              else
                pptl3new=0.
                if( force .or.(
     &            ityptl(j)/10.eq.4.or.ityptl(j)/10.eq.5
     &                      ))then !try just remnant first
                  ndif=ndif+1
                  diff=sign(min(0.3*abs(pini(j)),
     &                      rangen()*abs(difft)),difft)
                  pptl3new=scal*(pptl(3,j)-diff)
c                  write(ifch,*)'par',j,pptl3new,pptl(3,j),diff,difft
c     &                 ,ndif,pmax,scal
                  if(abs(pptl3new).lt.pmax)then
c particle should not be too fast or too modified
                    if(abs(pptl3new-pini(j)).lt.ferr*abs(pini(j))
     &         .or.(lspec(j).and.abs(pptl3new).lt.abs(0.8*pini(j))))then
c                  write(ifch,*)'used'
                      difft=difft-diff
                      pptl(3,j)=scal*(pptl(3,j)-diff)
                      pptl(4,j)=sqrt(pptl(1,j)**2+pptl(2,j)**2
     *                     +pptl(3,j)**2+pptl(5,j)**2)
                    endif
                  endif
                endif
              endif
            endif
c sum over all particles
            sum=sum+pptl(4,j)
            sum3=sum3+pptl(3,j)
          endif
        enddo

        diff=sum3
        scal=sngl(esoll)/(sum-diff)
        if(ish.ge.6)write(ifch,*)
     $       'ipass,scal,diff/psoll,e,pz,ndif,f:'
     $   ,ipass,scal,diff/psoll,sum,sum3,ndif,force
        if(abs(scal-1.).le.errlim.and.abs(diff/psoll).lt.errlim)
     $  goto 300
        if(ndif.gt.0.and.(force.or.ipass.lt.150))then
c          ndif0=ndif
          diff0=diff
        elseif(abs(scal-1.).le.1e-2.and.abs(diff/psoll).lt.5e-2
     &                                           .and.iLHC.eq.0)then
          goto 300
        elseif(force)then
          if(ish.ge.2)
     $    write(ifmt,*)'Warning in utresc: no more allowed particle'
          goto 302
        else
          force=.true.
          ferr=0.1
          diff=0.
        endif
      enddo
 302  if(iLHC.eq.1)then
        lim=.not.(abs(scal-1.).le.errlim.and.abs(diff/psoll).lt.errlim)
      else
        lim=abs(scal)+abs(diff/psoll).gt.2.5
      endif
 
      if(ish.ge.1)then
        call utmsg('utrescl')
        write(ifch,*)'*****  scal=',scal,diff/psoll,lim
        call utmsgf
      endif

      if(lim)then
        if(ish.ge.1)then
          write(ifmt,*)'Warning in utresc !'
          write(ifch,'(a,i10,d25.15)')'redo EPOS event ...'
     &                                ,nint(seedj),seedc
        endif
        iret=1
        goto 9999
      endif

c     trafo
c     -----
 300  continue

      do i=1,nptl
        if(i.le.nptlpt)then
          do j=1,5
            pptl(j,i)=p0(j,i)
          enddo
        else
          if(mod(istptl(i),10).le.1)then
            call utlob4(-1,p1(1),p1(2),p1(3),p1(4),p1(5)
     $           ,pptl(1,i),pptl(2,i),pptl(3,i),pptl(4,i))
          endif
        endif
      enddo

      if(ish.ge.4)call alist('list after rescaling&',1,nptl)

 9999 continue
      if(ish.ge.2)then
        scalevt=scalevt+1.
        scalmean=scalmean+scal
        write(ifch,*)' average rescaling factor: ',scalmean
     &                                            /scalevt
      endif
      call ranfst(seedp)        ! ... after this subroutine
      call utprix('utresc',ish,ishini,4)

      end

c-----------------------------------------------------------------------
      subroutine utghost(iret)
c-----------------------------------------------------------------------
c  if irescl=1 make particle on-shell if not
c-----------------------------------------------------------------------
      include 'epos.inc'
      include 'epos.incems'
      double precision seedp
      call utpri('ughost',ish,ishini,4)

      iret=0
      nptlpt=iabs(maproj)+iabs(matarg)
      if(iappl.eq.6.or.iappl.eq.8)nptlpt=3   ! ee or DIS
      call ranfgt(seedp)        !not to change the seed ...
      if(nptl.le.nptlpt) goto 9999

      if(ish.ge.5)write(ifch,'(a)')'---------mark ghosts---------'

c     mark ghosts
c     -----------
      do  j=nptlpt+1,nptl
        if(istptl(j).le.1.and.pptl(4,j).gt.0.d0)then
          if(iLHC.eq.0.or.mod(abs(idptl(j)),10).le.1)then !for LHC tune don't fix mass of resonnances (to keep width)
            amass=pptl(5,j)
            call idmass(idptl(j),amass)
            if(abs(idptl(j)).gt.100.and.
     &       abs(pptl(5,j)-amass).gt.0.01*amass)then
              if(ish.ge.5)write(ifch,*)'wrong particle mass',j,idptl(j)
     &                                           ,pptl(5,j),amass
              amass=pptl(5,j)
              call idres(idptl(j),amass,idr,iadj)
              if(idr.ne.0)then
                pptl(5,j)=amass
                idptl(j)=idr
              else
                call idmass(idptl(j),amass)
                pptl(5,j)=amass
              endif
              call idtau(idptl(j),pptl(4,j),pptl(5,j),taugm)
              tivptl(2,j)=tivptl(1,j)+taugm*(-alog(rangen()))
            else
              pptl(5,j)=amass
            endif
          endif
          if(abs((pptl(4,j)+pptl(3,j))*(pptl(4,j)-pptl(3,j))
     $         -pptl(2,j)**2-pptl(1,j)**2-pptl(5,j)**2).gt.0.3
     $       .and.abs(1.-abs(pptl(3,j))/pptl(4,j)).gt.0.01)then
        !print*,'ghost',ityptl(j),idptl(j)
           if(ish.ge.1)write(ifmt,*)'ghost:',j,idptl(j),ityptl(j)
           if(ish.ge.5)then
              write(ifch,'(a,$)')'ghost:'
              call alistc("&",j,j)
            endif
            ityptl(j)=100+ityptl(j)/10
          elseif(irescl.ge.1)then
c ensure that all particles are really on-shell
            pptl(4,j)=sqrt(pptl(1,j)**2+pptl(2,j)**2
     *                    +pptl(3,j)**2+pptl(5,j)**2)
          endif
        elseif(mod(istptl(j),10).eq.0)then
c if not droplet with fusion
          if(istptl(j).ne.10.or.iorsdf.ne.3)then
            if(ish.ge.1)then
              write(ifmt,*)'Lost particle (E=0)'
              write(ifch,*)'Lost particle (E=0) :'
              call alistc("utghost&",j,j)
            endif
            istptl(j)=istptl(j)+2
          endif
        endif
      enddo

      if(ish.ge.5)write(ifch,'(a)')'---------treat ghosts---------'

c     treat ghosts
c     ------------
      ifirst=1
      scal=1.
      pfif=0.
      efif=0.
      ntry=0
 132  nfif=0
      psum=0
      esum=0.
      ntry=ntry+1
      do  j=nptlpt+1,nptl
        if(mod(istptl(j),10).eq.0)then
          if(ityptl(j).gt.100)then
            nfif=nfif+1
            if(ifirst.eq.1)then
              pfif=pfif+pptl(3,j)
              if(pptl(4,j).gt.0.)efif=efif+pptl(4,j)
            endif
            if(irescl.ge.1) then
              if(ifirst.gt.1)then
                if(pptl(4,j).gt.0.)then
                  Einv=1./pptl(4,j)
                  amt=1.-(pptl(5,j)*Einv)**2+(pptl(1,j)*Einv)**2
     $                +(pptl(2,j)*Einv)**2
                else
                  amt=-1.
                endif
                if(amt.gt.0.)then
                  pptl(3,j)=sign(pptl(4,j),pptl(3,j))*sqrt(amt)
                else
                  y=(rangen()+rangen()+rangen()+rangen()-2.)/2.*yhaha
                  y=sign(abs(y),pptl(3,j))
                  pptl(3,j)
     $                 =sqrt(pptl(5,j)**2+pptl(1,j)**2
     $                 +pptl(2,j)**2)*sinh(y)
                  pptl(4,j)
     $                 =sqrt(pptl(5,j)**2+pptl(1,j)**2
     $                 +pptl(2,j)**2)*cosh(y)
                  efif=efif+pptl(4,j)
                endif
                ifirst=0
              else
c                do k=1,3
                do k=3,3
                  pptl(k,j)=pptl(k,j)*scal
                enddo
                pptl(4,j)=sqrt(pptl(1,j)**2+pptl(2,j)**2+pptl(3,j)**2
     *                 +pptl(5,j)**2)
              endif
            endif
            psum=psum+pptl(3,j)
            esum=esum+pptl(4,j)
            if(ish.ge.5)
     $           write (ifch,*) 'nrevt,psum,esum,pfif,efif,nfif,scal'
     $           ,nrevt,psum,esum,pfif,efif,nfif,scal
          endif
        endif
      enddo
      if ( ish.ge.5 )  write (ifch,*) 'tot',nfif,efif,pfif,esum,psum


      if(nfif.gt.5.or.(esum.gt.0.05*engy.and.nfif.ne.1))then
        if(ifirst.eq.0)then
          do  j=nptlpt+1,nptl
            if ( ityptl(j).ge.101 .and. ityptl(j).le.105 )then
              if((psum-pfif)*(1.-scal).ge.0)
     &             pptl(3,j)=pptl(3,j)-(psum-pfif)/nfif
            endif
          enddo
        else
          ifirst=2
          goto 132
        endif
        scal=efif/esum
        if ( ish.ge.5 )  write (ifch,*) 'scal',scal
        if ( abs(scal-1.) .gt. 0.05 ) then
          if(ntry.le.1000)then
            goto 132
          else
            iret=1
            if(ish.ge.2)write (ifch,*) 'Problem in utghost : redo event'
            if(ish.ge.1)write (ifmt,*) 'Problem in utghost : redo event'
            goto 9999
         endif
        endif
      else
        do  j=nptlpt+1,nptl
          if ( ityptl(j).ge.101 .and. ityptl(j).le.105 )then
            pptl(4,j)=sqrt(pptl(1,j)**2+pptl(2,j)**2+pptl(3,j)**2
     *                 +pptl(5,j)**2)
          endif
        enddo
      endif

      if(ish.ge.5)write(ifch,'(a)')'---------Check Ghost list---------'

c Check Ghost list

      if(ish.ge.5)then
        do  j=nptlpt+1,nptl
          if(mod(istptl(j),10).eq.0)then
            if(ityptl(j).le.105.and.ityptl(j).ge.101)then
              write(ifch,'(a,$)')'ghost:'
              call alistc("&",j,j)
            endif
          endif
        enddo
      endif


 9999 continue
      call ranfst(seedp)        ! ... after this subroutine
      call utprix('ughost',ish,ishini,4)

      end

c-----------------------------------------------------------------------
      subroutine utrsph(iret)
c-----------------------------------------------------------------------
c  if irescl=1 and ispherio=1 rescaling is done for particle used by
c  spherio as initial condition.
c-----------------------------------------------------------------------
      include 'epos.inc'
      include 'epos.incems'
      double precision p1,esoll
      dimension p1(5),p0(5,mamx+mamx)
      call utpri('utrsph',ish,ishini,4)

      errlim=0.0001

      iret=0
      nptlpt=iabs(maproj)+iabs(matarg)
      if(nptl.le.nptlpt) goto 9999

      esoll=0.d0
      p1(1)=0.d0
      p1(2)=0.d0
      p1(3)=0.d0
      p1(4)=0.d0
      do i=nptlpt+1,nptl
        if((istptl(i).le.11
     $   .and.(iorptl(i).ge.1.and.istptl(iorptl(i)).eq.41))
     $   .or.istptl(i).eq.20.or.istptl(i).eq.21)then
         do j=1,2
           p1(j)=p1(j)+dble(pptl(j,i))
         enddo
       endif
      enddo
      do i=1,nptlpt
         do j=1,5
           p0(j,i)=pptl(j,i)
         enddo
         do j=3,4
           p1(j)=p1(j)+dble(pptl(j,i))
         enddo
      enddo
      p1(5)=dsqrt((p1(4)+p1(3))*(p1(4)-p1(3))-p1(2)**2.d0-p1(1)**2.d0)
      esoll=p1(5)
      if(ish.ge.4) write (ifch,'(a,5g13.6)') 'boost-vector',p1

c     trafo
c     -----
      do i=1,nptl
        if((istptl(i).le.11
     $   .and.(iorptl(i).ge.1.and.istptl(iorptl(i)).eq.41))
     $   .or.istptl(i).eq.20.or.istptl(i).eq.21
     $   .or.(istptl(i).eq.0.and.i.le.nptlpt))then
          call utlob4(1,p1(1),p1(2),p1(3),p1(4),p1(5)
     $         ,pptl(1,i),pptl(2,i),pptl(3,i),pptl(4,i))
        endif
      enddo


      if(ish.ge.5)write(ifch,'(a)')'------------------'

c     rescale momenta in rest frame
c     -----------------------------

      scal=1.
      diff=0.
      do ipass=1,1000
        sum=0.
        sum3=0.
        ndif=0
        do  j=1,nptl
        if((istptl(j).le.11
     $   .and.(iorptl(j).ge.1.and.istptl(iorptl(j)).eq.41))
     $   .or.istptl(j).eq.20.or.istptl(j).eq.21
     $   .or.(istptl(j).eq.0.and.j.le.nptlpt))then
            if(j.gt.nptlpt)then
              ndif=ndif+1
              pptl(3,j)=scal*(pptl(3,j)-diff)
              pptl(4,j)=sqrt(pptl(1,j)**2+pptl(2,j)**2+pptl(3,j)**2
     *           +pptl(5,j)**2)
            endif
            sum=sum+pptl(4,j)
            sum3=sum3+pptl(3,j)
          endif
        enddo

        diff=sum3/real(ndif)
        scal=real(esoll)/sum
        if(ish.ge.6)write(ifch,*)'ipass,scal,diff,e,esoll,pz,ndif:'
     $       ,ipass,scal,diff,sum,esoll,sum3,ndif
        if(abs(scal-1.).le.errlim.and.abs(diff).lt.10.*errlim) goto300
      enddo
      if(ish.ge.1)then
        call utmsg('hresph')
        write(ifch,*)'*****  scal=',scal,diff
        call utmsgf
      endif


c     trafo
c     -----
 300  continue
c      do i=nptlpt+1,nptl
      do i=1,nptl
        if((istptl(i).le.11
     $   .and.(iorptl(i).ge.1.and.istptl(iorptl(i)).eq.41))
     $   .or.istptl(i).eq.20.or.istptl(i).eq.21
     $   .or.(istptl(i).eq.0.and.i.le.nptlpt))then
          call utlob4(-1,p1(1),p1(2),p1(3),p1(4),p1(5)
     $         ,pptl(1,i),pptl(2,i),pptl(3,i),pptl(4,i))
        endif
        if(i.le.nptlpt)then
          do j=1,5
            pptl(j,i)=p0(j,i)
          enddo
        endif
      enddo

 9999 call utprix('utrsph',ish,ishini,4)

      end

cc-----------------------------------------------------------------------
c      double precision function dddlog(xxx)
cc-----------------------------------------------------------------------
c      double precision xxx
c      dddlog=-1d50
c      if(xxx.gt.0d0)dddlog=dlog(xxx)
c      end
c
ccc-----------------------------------------------------------------------
c      subroutine randfl(jc,iqa0,iflav,ic,isame)
cc-----------------------------------------------------------------------
cc     returns random flavour ic(2) (iqa0=1:quark,2:antiquark,11:diquark)
cc-----------------------------------------------------------------------
c      include 'epos.inc'
c      real probab(nflav),probsu(nflav+1)
c      integer jc(nflav,2),jc0(nflav,2),ic(2)
c      if(ish.ge.6)then
c      write(ifch,*)('-',i=1,10)
c     *,' entry sr randfl ',('-',i=1,30)
c      write(ifch,*)'iqa0:',iqa0
c      write(ifch,*)'jc:'
c      write(ifch,*)jc
c      endif
c      iflav=0
c      ic(1)=0
c      ic(2)=0
c      do 10 n=1,nflav
c      do 10 i=1,2
c10    jc0(n,i)=0
c      iqa1=iqa0*10
c9999  iqa1=iqa1/10
c      if(iqa1.eq.0)goto9998
c      iqa=mod(iqa1,10)
c      su=0
c      do 20 i=1,nflav
c      probab(i)=jc(i,iqa)-jc0(i,iqa)
c      if(isame.eq.1)probab(i)=probab(i)*(jc(i,3-iqa)-jc0(i,3-iqa))
c20    su=su+probab(i)
c      if(su.lt..5)then
c      iflav=0
c      ic(1)=0
c      ic(2)=0
c      goto9998
c      endif
c      probsu(1)=0.
c      do 30 i=1,nflav
c      probsu(i+1)=probsu(i)+probab(i)/su
c      if(probsu(i+1)-probsu(i).lt.1e-5)probsu(i+1)=probsu(i)
c30    continue
c      r=rangen()*probsu(nflav+1)
c      do 50 i=1,nflav
c      if(probsu(i).le.r.and.r.lt.probsu(i+1))iflav=i
c50    continue
c      jc0(iflav,iqa)=jc0(iflav,iqa)+1
c      if(isame.eq.1)jc0(iflav,3-iqa)=jc0(iflav,3-iqa)+1
c      call idenco(jc0,ic,ireten)
c      if(ireten.eq.1)call utstop('randfl: idenco ret code = 1&')
c      if(ish.ge.6)then
c      write(ifch,*)'probab:'
c      write(ifch,*)probab
c      write(ifch,*)'probsu:'
c      write(ifch,*)probsu
c      write(ifch,*)'ran#:',r,'   flav:',iflav
c      endif
c      goto9999
c9998  continue
c      if(ish.ge.6)write(ifch,*)('-',i=1,30)
c     *,' exit sr randfl ',('-',i=1,10)
c      return
c      end
c
c
cc-----------------------------------------------------------------------
c      subroutine ranhvy(x,eps)
cc-----------------------------------------------------------------------
cc     generates x for heavy particle fragmentation according to
cc     the peterson form
cc          d(x)=1/(x*(1-1/x-eps/(1-x))**2)
cc              =d0(x)*d1(x)*d2(x)
cc          d0(x)=(1-x)**2/((1-x)**2+eps)**2
cc          d1(x)=x
cc          d2(x)=(((1-x)**2+eps)/((1-x)**2+eps*x))**2
cc     using x=1-y**pow
cc     generates flat in x if eps>1.
cc-----------------------------------------------------------------------
c      data aln4/1.3863/
c      if(eps.lt.1.) then
c        pow=alog((3.+eps)/eps)/aln4
c        ymx=(eps*(3.*pow-1.)/(pow+1.))**(.5/pow)
c        zmx=1-ymx**pow
c        d0mx=(1-zmx)**2/((1.-zmx)**2+eps)**2*pow*ymx**(pow-1.)
c        d2mx=2./(2.-sqrt(eps))
c      else
c        pow=1.
c        zmx=0.
c        d0mx=(1.-zmx)**2/((1.-zmx)**2+eps)**2
c        d2mx=1.+eps
c      endif
cc
cc          generate z according to (1-z)**2/((1-z)**2+eps*z)**2
c1     continue
c      y=rangen()
c      z=1.-y**pow
cc
c      d0z=(1.-z)**2/((1.-z)**2+eps)**2*pow*y**(pow-1.)
c      if(d0z.lt.rangen()*d0mx) goto1
cc
cc          check remaining factors
c      d1=z
c      d2=(((1.-z)**2+eps)/((1.-z)**2+eps*z))**2
c      if(d1*d2.lt.rangen()*d2mx) goto1
cc
cc          good x
c      x=z
c      return
c      end
c
*-- Author :    D. HECK IK FZK KARLSRUHE       27/04/1994
C=======================================================================

      SUBROUTINE EPOVAPOR( MAPRO,INEW,JFIN,ITYP,PFRX,PFRY,PFRZ )

C-----------------------------------------------------------------------
C  (E)VAPOR(ATION OF NUCLEONS AND ALPHA PARTICLES FROM FRAGMENT)
C
C  TREATES THE REMAINING UNFRAGMENTED NUCLEUS
C  EVAPORATION FOLLOWING CAMPI APPROXIMATION.
C  SEE: X. CAMPI AND J. HUEFNER, PHYS.REV. C24 (1981) 2199
C  AND  J.J. GAIMARD, THESE UNIVERSITE PARIS 7, (1990)
C  THIS SUBROUTINE IS CALLED FROM SDPM, DPMJST, NSTORE, AND VSTORE.
C  ARGUMENTS INPUT:
C   MAPRO        = NUMBER OF NUCLEONS OF PROJECTILE
C   INEW         = PARTICLE TYPE OF SPECTATOR FRAGMENT
C  ARGUMENTS OUTPUT:
C   JFIN         = NUMBER OF FRAGMENTS
C   ITYP(1:JFIN) = NATURE (PARTICLE CODE) OF FRAGMENTS
C   PFRX(1:JFIN) = TRANSVERSE MOMENTUM OF FRAGMENTS IN X-DIRECTION
C   PFRY(1:JFIN) = TRANSVERSE MOMENTUM OF FRAGMENTS IN Y-DIRECTION
C   PFRZ(1:JFIN) = LONGITUDINAL MOMENTUM OF FRAGMENTS IN Z-DIRECTION
C
C  FROM CORSIKA AND ADAPTED BY T. PIEROG TO INCLUDE LONG MOMENTUM AND
C  MORE REALISTIC FRAGMENTS
C-----------------------------------------------------------------------

      IMPLICIT NONE
      include 'epos.inc'
      common/eporansto2/irndmseq
      integer irndmseq

      DOUBLE PRECISION PFR(mamxx),PFRX(mamxx),PFRY(mamxx),PFRZ(mamxx)
     *                ,RD(2*mamxx),SPFRY,SPFRZ,drangen
      DOUBLE PRECISION AFIN,AGLH,APRF,BGLH,EEX,PHIFR,RANNORM,SPFRX
      INTEGER          ITYP(mamxx),IARM,INEW,ITYPRM,INRM,IS,IZRM,JC,lseq
     *                ,JFIN,K,L,LS,MAPRO,MF,NFIN,NINTA,NNUC,NPRF,NNSTEP
      SAVE
      EXTERNAL         RANNORM
C-----------------------------------------------------------------------

      IF(ish.ge.7)WRITE(ifch,*)'EPOVAPOR : MAPRO,INEW=',MAPRO,INEW

      lseq   = irndmseq
      ITYPRM = INEW
      NPRF   = INEW/100
      NINTA  = MAPRO - NPRF
      IF ( NINTA .EQ. 0 ) THEN
C  NO NUCLEON HAS INTERACTED
        JFIN    = 1
        PFRX(1)  = 0.D0
        PFRY(1)  = 0.D0
        PFRZ(1)  = 0.D0
        ITYP(1) = -ITYPRM
        IF(ish.ge.7)WRITE(ifch,*) 'EPOVAPOR : JFIN,NINTA=',JFIN,NINTA
        RETURN
      ENDIF

C  EXCITATION ENERGY EEX OF PREFRAGMENT
C  SEE: J.J. GAIMARD, THESE UNIVERSITE PARIS 7, (1990), CHPT. 4.2
      EEX = 0.D0
      CALL RMMARD( RD,2*NINTA,lseq )
      DO  L = 1, NINTA
        IF ( RD(NINTA+L) .LT. RD(L) ) RD(L) = 1.D0 - RD(L)
        EEX = EEX + RD(L)
      ENDDO
C  DEPTH OF WOODS-SAXON POTENTIAL TO FERMI SURFACE IS 0.040 GEV
      IF(ish.ge.7)WRITE(ifch,*)'EPOVAPOR : EEX=',SNGL(EEX*0.04D0),
     &                                            ' GEV'
C  EVAPORATION: EACH EVAPORATION STEP NEEDS ABOUT 0.020 GEV, THEREFORE
C  NNSTEP IS EEX * 0.04/0.02 = EEX * 2.
      NNSTEP = INT( EEX*2.D0 )

      IF ( NNSTEP .LE. 0 ) THEN
C  EXCITATION ENERGY TOO SMALL, NO EVAPORATION
        JFIN    = 1
        PFRX(1)  = 0.D0
        PFRY(1)  = 0.D0
        PFRZ(1)  = 0.D0
        ITYP(1) = -ITYPRM
        IF(ish.ge.7)WRITE(ifch,*) 'EPOVAPOR : JFIN,EEX=',JFIN,SNGL(EEX)
        RETURN
      ENDIF

C  AFIN IS ATOMIC NUMBER OF FINAL NUCLEUS
      APRF = DBLE(NPRF)
      AFIN = APRF - 1.6D0 * DBLE(NNSTEP)
      NFIN = MAX( 0, INT( AFIN+0.5D0 ) )
C  CORRESPONDS TO DEFINITION; FRAGMENTATION-EVAPORATION
C  CONVOLUTION EMU07 /MODEL ABRASION EVAPORATION (JNC FZK APRIL 94)
C  NNUC IS NUMBER OF EVAPORATING NUCLEONS
      NNUC = NPRF - NFIN
      IF(ish.ge.7)WRITE(ifch,*) 'EPOVAPOR : NFIN,NNUC=',NFIN,NNUC
      JC   = 0

      IF     ( NNUC .LE. 0 ) THEN
C  NO EVAPORATION
        JFIN    = 1
        PFRX(1)  = 0.D0
        PFRY(1)  = 0.D0
        PFRZ(1)  = 0.D0
        ITYP(1) = -ITYPRM
        RETURN

      ELSEIF ( NNUC .GE. 4 ) THEN
C  EVAPORATION WITH FORMATION OF ALPHA PARTICLES POSSIBLE
C  IARM, IZRM, INRM ARE NUMBER OF NUCLEONS, PROTONS, NEUTRONS OF
C  REMAINDER
        DO  LS = 1, NNSTEP
          IARM = ITYPRM/100
          IF ( IARM .LE. 0 ) GOTO 100
          IZRM = MOD(ITYPRM,100)
          INRM = IARM - IZRM
          JC   = JC + 1
          CALL RMMARD( RD,2,lseq )
          IF ( RD(1) .LT. 0.2D0  .AND.  IZRM .GE. 2
     *                           .AND.  INRM .GE. 2 ) THEN
            ITYP(JC) = -402          !alpha
            NNUC     = NNUC - 4
            ITYPRM   = ITYPRM - 402
          ELSE
            IF ( IZRM .EQ. 1 .AND. INRM .GT. IZRM ) THEN
              ITYP(JC) = 1220
              ITYPRM   = ITYPRM - 100              
            ELSEIF ( INRM .EQ. 1 .AND. IZRM .GT. INRM ) THEN
              ITYP(JC) = 1120
              ITYPRM   = ITYPRM - 101              
            ELSEIF(RD(2)*(IZRM+INRM).LT.IZRM.AND.IZRM.GE.INRM)THEN
              ITYP(JC) = 1120
              ITYPRM   = ITYPRM - 101
            ELSE
              ITYP(JC) = 1220
              ITYPRM   = ITYPRM - 100
            ENDIF
            NNUC = NNUC - 1
          ENDIF
          IF ( NNUC .LE. 0 ) GOTO 50
        ENDDO
      ENDIF

      IF ( NNUC .LT. 4 ) THEN
C  EVAPORATION WITHOUT FORMATION OF ALPHA PARTICLES
        CALL RMMARD( RD,NNUC,lseq )
        DO  IS = 1, NNUC
          IARM = ITYPRM/100
          IF ( IARM .LE. 0 ) GOTO 100
          IZRM = MOD(ITYPRM,100)
          INRM = IARM - IZRM
          JC   = JC + 1
          IF ( IZRM .EQ. 1 .AND. INRM .GT. IZRM ) THEN
            ITYP(JC) = 1220
            ITYPRM   = ITYPRM - 100              
          ELSEIF ( INRM .EQ. 1 .AND. IZRM .GT. IZRM ) THEN
            ITYP(JC) = 1120
            ITYPRM   = ITYPRM - 101              
          ELSEIF ( RD(IS)*IARM .LT. IZRM .AND. IZRM .GE. INRM ) THEN
            ITYP(JC) = 1120
            ITYPRM   = ITYPRM - 101
          ELSE
            ITYP(JC) = 1220
            ITYPRM   = ITYPRM - 100
          ENDIF
        ENDDO
      ENDIF

 50   CONTINUE
      IARM = ITYPRM/100
      IF ( IARM .LE. 0 ) GOTO 100
      IZRM = MOD(ITYPRM,100)
      INRM = IARM - IZRM
      JC = JC + 1
      IF     ( IARM .EQ. 5 ) THEN     !EXCLUDED
        IF ( IZRM .GE. INRM ) THEN
          ITYP(JC) = 1120
          ITYPRM   = ITYPRM - 101              
        ELSE
          ITYP(JC) = 1220
          ITYPRM   = ITYPRM - 100
        ENDIF
        JC = JC + 1
        ITYP(JC) = -ITYPRM
      ELSEIF     ( ITYPRM .GT. 200 ) THEN
        ITYP(JC) = -ITYPRM
      ELSEIF ( ITYPRM .EQ. 200 ) THEN
        ITYP(JC) = 1220
        JC = JC + 1
        ITYP(JC) = 1220
      ELSEIF ( ITYPRM .EQ. 101 ) THEN
        ITYP(JC) = 1120
      ELSEIF ( ITYPRM .EQ. 100 ) THEN
        ITYP(JC) = 1220
      ELSE
        JC = JC - 1
        IF ( ITYPRM .NE. 0 ) WRITE(*,*)
     *                  'EPOVAPOR : ILLEGAL PARTICLE ITYPRM =',ITYPRM
      ENDIF

  100 CONTINUE
      JFIN = JC
      IF(ish.ge.7)WRITE(ifch,*) 
     *   'EPOVAPOR :  NO        ITYP     PFR       PFL'
      IF     ( infragm .EQ. 2 ) THEN
C  EVAPORATION WITH PT AFTER PARAMETRIZED JACEE DATA
        DO  MF = 1, JFIN
          IF(ITYP(MF).LT.0)THEN
            IARM=-ITYP(MF)/100
          ELSE
            IARM=1
          ENDIF
          PFR(MF) = RANNORM(0.088D0,0.044D0)
          PFRZ(MF)= (2*int(drangen(PFR(MF))+0.5d0)-1)
     &   *RANNORM(0.300D0/DBLE(IARM),0.100D0/SQRT(DBLE(IARM)))    !Fermi motion about 300 MeV
          IF(ish.ge.7)WRITE(ifch,*) MF,ITYP(MF),SNGL(PFR(MF))
     &                                         ,SNGL(PFRZ(MF))
        ENDDO
      ELSEIF ( infragm .EQ. 3 ) THEN
C  EVAPORATION WITH PT AFTER GOLDHABER''S MODEL (PHYS.LETT.53B(1974)306)
        DO  MF = 1, JFIN
          K    = MAX( 1, -ITYP(MF)/100 )
          BGLH = K * (MAPRO - K) / DBLE(MAPRO-1)
C  THE VALUE 0.103 [GEV] IS SIGMA(0)=P(FERMI)/SQRT(5.)
*         AGLH = 0.103D0 * SQRT( BGLH )
C  THE VALUE 0.090 [GEV] IS EXPERIMENTALLY DETERMINED SIGMA(0)
          AGLH = 0.090D0 * SQRT( BGLH )
          PFR(MF) = RANNORM(0.D0,AGLH)
          PFRZ(MF)= RANNORM(0.000D0,0.500D0)    !from pAg at 100 GeV
          IF(ish.ge.7)WRITE(ifch,*) MF,ITYP(MF),SNGL(PFR(MF))
     &                                         ,SNGL(PFRZ(MF))
        ENDDO
      ELSE
C  EVAPORATION WITHOUT TRANSVERSE MOMENTUM
        DO  MF = 1, JFIN
          PFR(MF) = 0.D0
          PFRZ(MF)= 0.D0
          IF(ish.ge.7)WRITE(ifch,*) MF,ITYP(MF),SNGL(PFR(MF))
     &                                         ,SNGL(PFRZ(MF))
        ENDDO
      ENDIF
C  CALCULATE RESIDUAL TRANSVERSE MOMENTUM
      SPFRX = 0.D0
      SPFRY = 0.D0
      SPFRZ = 0.D0
      CALL RMMARD( RD,JFIN,lseq )
      DO  MF = 1, JFIN
        PHIFR = PI * RD(MF)
        PFRX(MF) = PFR(MF) * COS( PHIFR )
        PFRY(MF) = PFR(MF) * SIN( PHIFR )
        SPFRY = SPFRY + PFRY(MF)
        SPFRX = SPFRX + PFRX(MF)
        SPFRZ = SPFRZ + PFRZ(MF)
      ENDDO
C  CORRECT ALL TRANSVERSE MOMENTA FOR MOMENTUM CONSERVATION
      SPFRX = SPFRX / JFIN
      SPFRY = SPFRY / JFIN
      SPFRZ = SPFRZ / JFIN
      DO  MF = 1, JFIN
        PFRX(MF) = PFRX(MF) - SPFRX
        PFRY(MF) = PFRY(MF) - SPFRY
        PFRZ(MF) = PFRZ(MF) - SPFRZ
      ENDDO

      IF(ish.ge.7)WRITE(ifch,*) 'EPOVAPOR : NINTA,JFIN=',NINTA,JFIN

      RETURN
      END

*-- Author :    The CORSIKA development group   21/04/1994
C=======================================================================

      DOUBLE PRECISION FUNCTION RANNORM( A,B )

C-----------------------------------------------------------------------
C  RAN(DOM NUMBER) NOR(MALLY DISTRIBUTED)
C
C  GENERATES NORMAL DISTRIBUTED RANDOM NUMBER
C  DELIVERS 2 UNCORRELATED RANDOM NUMBERS,
C  THEREFORE RANDOM CALLS ARE ONLY NECESSARY EVERY SECOND TIME.
C  REFERENCE : NUMERICAL RECIPES, W.H. PRESS ET AL.,
C              CAMBRIDGE UNIVERSITY PRESS, 1992  ISBN 0 521 43064 X
C  ARGUMENTS:
C   A      = MEAN VALUE
C   B      = STANDARD DEVIATION
C
C  FROM CORSIKA
C-----------------------------------------------------------------------

      IMPLICIT NONE
      double precision facrdm,u1rdm,u2rdm,drangen
      logical knordm
      data knordm/.true./

      DOUBLE PRECISION A,B,RR
      SAVE facrdm,u1rdm,u2rdm,knordm
C-----------------------------------------------------------------------

      IF ( KNORdm ) THEN
  1     CONTINUE
        U1rdm = 2.D0*drangen(a) - 1.D0
        U2rdm = 2.D0*drangen(b) - 1.D0
        RR = U1rdm**2 + U2rdm**2
        IF ( RR .GE. 1.D0  .OR.  RR .EQ. 0.D0 ) GOTO 1
        FACrdm = SQRT( (-2.D0) * LOG(RR) / RR )

        RANNORM = FACrdm * U1rdm * B + A
        KNORdm   = .FALSE.
      ELSE
        RANNORM = FACrdm * U2rdm * B + A
        KNORdm   = .TRUE.
      ENDIF

      RETURN
      END

c-----------------------------------------------------------------------
      function ransig()
c-----------------------------------------------------------------------
c     returns randomly +1 or -1
c-----------------------------------------------------------------------
      ransig=1
      if(rangen().gt.0.5)ransig=-1
      return
      end

cc-----------------------------------------------------------------------
c      function ranxq(n,x,q,xmin)
cc-----------------------------------------------------------------------
cc     returns random number according to x(i) q(i) with x>=xmin
cc-----------------------------------------------------------------------
c      include 'epos.inc'
c      real x(n),q(n)
c      imin=1
c      if(xmin.eq.0.)goto3
c      i1=1
c      i2=n
c1     i=i1+(i2-i1)/2
c      if(x(i).lt.xmin)then
c      i1=i
c      elseif(x(i).gt.xmin)then
c      i2=i
c      else
c      imin=i
c      goto3
c      endif
c      if(i2-i1.gt.1)goto1
c      imin=i2
c3     continue
c      if(q(imin).gt.q(n)*.9999)then
c      ranxq=xmin
c      goto4
c      endif
c      qran=q(imin)+rangen()*(q(n)-q(imin))
c      ranxq=utinvt(n,x,q,qran)
c4     continue
c
c      if(ranxq.lt.xmin)then
c      call utmsg('ranxq ')
c      write(ifch,*)'*****  ranxq=',ranxq,' <       xmin=',xmin
c      write(ifch,*)'q(imin) q q(n):',q(imin),qran,q(n)
c      write(ifch,*)'x(imin) x x(n):',x(imin),ranxq,x(n)
c      call utmsgf
c      ranxq=xmin
c      endif
c
c      return
c      end
c
cc  ***** end r-routines
cc  ***** beg s-routines
c
cc-----------------------------------------------------------------------
c      function sbet(z,w)
cc-----------------------------------------------------------------------
c      sbet=utgam1(z)*utgam1(w)/utgam1(z+w)
c      return
c      end
c
cc-----------------------------------------------------------------------
c      function smass(a,y,z)
cc-----------------------------------------------------------------------
cc     returns droplet mass (in gev) (per droplet, not (!) per nucleon)
cc     according to berger/jaffe mass formula, prc35(1987)213 eq.2.31,
cc     see also c. dover, BNL-46322, intersections-meeting, tucson, 91.
cc     a: massnr, y: hypercharge, z: charge,
cc-----------------------------------------------------------------------
c      common/cmass/thet,epsi,as,ac,dy,dz,ym,cz,zm,sigma,rzero
c      ymin=ym*a
c      zmin=cz/(dz/a+zm/a**(1./3.))
c      smass=epsi*a+as*a**(2./3.)+(ac/a**(1./3.)+dz/a/2.)*(z-zmin)**2
c     *+dy/a/2.*(y-ymin)**2
c      return
c      end
c
cc-----------------------------------------------------------------------
c      subroutine smassi(theta)
cc-----------------------------------------------------------------------
cc     initialization for smass.
cc     calculates parameters for berger/jaffe mass formula
cc     (prc35(1987)213 eq.2.31, see also c. dover, BNL-46322).
cc     theta: parameter that determines all parameters in mass formula.
cc-----------------------------------------------------------------------
c      common/cmass/thet,epsi,as,ac,dy,dz,ym,cz,zm,sigma,rzero
c      thet=theta
c
c      astr=.150
c      pi=3.14159
c      alp=1./137.
c
c      co=cos(theta)
c      si=sin(theta)
c      bet=(1+co**3)/2.
c      rzero=si/astr/(  2./3./pi*(1+co**3)  )**(1./3.)
cctp060829      cs=astr/si
c      cz=-astr/si*(  (  .5*(1+co**3)  )**(1./3.)-1  )
c      sigma=6./8./pi*(astr/si)**3*(co**2/6.-si**2*(1-si)/3.-
c     *1./3./pi*(pi/2.-theta-sin(2*theta)+si**3*alog((1+co)/si)))
c
c      epsi=astr*((.5*(1+co**3))**(1./3.)+2)/si
c      as=4*pi*sigma*rzero**2
c      ac=3./5.*alp/rzero
c      dz=astr/si*bet**(1./3.)*co**2*
c     *(co**4*(1+bet**(2./3.))+(1+bet)**2)/
c     *(  (2*co**2+bet**(1./3.))*(co**4*(1+bet**(2./3.))+(1+bet)**2)-
c     *(co**4+bet**(1./3.)*(1+bet))*((2*bet**(2./3.)-1)*co**2+1+bet)  )
c      dy=astr/6.*(1+co**3)**3/si*
c     *(  1+(1+co)/(4*(1+co**3))**(2./3.)  )/
c     *(co**6+co+co*(.5*(1+co**3))**(4./3.))
c      zm=6*alp/(5*rzero)
c      ym=(1-co**3)/(1+co**3)
c
c      return
c      end
c
cc-----------------------------------------------------------------------
c      subroutine smassp
cc-----------------------------------------------------------------------
cc     prints smass.
cc-----------------------------------------------------------------------
c      include 'epos.inc'
c      common/cmass/thet,epsi,as,ac,dy,dz,ym,cz,zm,sigma,rzero
c      real eng(14),ymi(14),zmi(14)
c      pi=3.14159
c      write(ifch,*)'parameters of mass formula:'
c      write(ifch,*)'theta=',thet,'   epsi=',epsi
c      write(ifch,*)'as=',as,'   ac=',ac
c      write(ifch,*)'dy=',dy,'   dz=',dz
c      write(ifch,*)'ym=',ym
c      write(ifch,*)'cz dz zm=',cz,dz,zm
c      write(ifch,*)'sigma**1/3=',sigma**(1./3.),'   rzero=',rzero
c      write(ifch,*)'mass:'
c      write(ifch,5000)(j,j=1,14)
c5000  format(5x,'a:',14i5)
c      do 4 j=1,14
c      a=j
c      ymi(j)=ym*a
c4     zmi(j)=cz/(dz/a+zm/a**(1./3.))
c      write(ifch,5002)(ymi(j),j=1,14)
c5002  format(1x,'ymin: ',14f5.2)
c      write(ifch,5003)(zmi(j),j=1,14)
c5003  format(1x,'zmin: ',14f5.2)
c      do 2 i=1,15
c      ns=11-i
c      do 3 j=1,14
c      a=j
c      y=a-ns
c      z=0.
c3     eng(j)=smass(a,y,z)/a
c      write(ifch,5001)ns,(eng(j),j=1,14)
c5001  format(1x,'s=',i2,2x,14f5.2)
c2     continue
c      write(ifch,*)'mass-mass(free):'
c      write(ifch,5000)(j,j=1,14)
c      do 5 i=1,15
c      ns=11-i
c      do 6 j=1,14
c      a=j
c      y=a-ns
c      z=0.
c      call smassu(a,y,z,ku,kd,ks,kc)
c6     eng(j)=(smass(a,y,z)-utamnu(ku,kd,ks,kc,0,0,3))/a
c      write(ifch,5001)ns,(eng(j),j=1,14)
c5     continue
c
c      stop
c      end
c
cc-----------------------------------------------------------------------
c      subroutine smasst(kux,kdx,ksx,kcx,a,y,z)
cc-----------------------------------------------------------------------
cc     input: kux,kdx,ksx,kcx = net quark numbers (for u,d,s,c quarks).
cc     output: massnr a, hypercharge y and charge z.
cc-----------------------------------------------------------------------
c      sg=1
c      if(kux+kdx+ksx+kcx.lt.0.)sg=-1
c      ku=sg*kux
c      kd=sg*kdx
c      ks=sg*ksx
c      kc=sg*kcx
c      k=ku+kd+ks+kc
c      if(mod(k,3).ne.0)stop'noninteger baryon number'
c      a=k/3
c      y=a-ks
c      nz=2*ku-kd-ks+2*kc
c      if(mod(nz,3).ne.0)stop'noninteger charge'
c      z=nz/3
c      return
c      end
c
cc-----------------------------------------------------------------------
c      subroutine smassu(ax,yx,zx,ku,kd,ks,kc)
cc-----------------------------------------------------------------------
cc     input: massnr ax, hypercharge yx and charge zx.
cc     output: ku,kd,ks,kc = net quark numbers (for u,d,s,c quarks).
cc-----------------------------------------------------------------------
c      sg=1
c      if(ax.lt.0.)sg=-1
c      a=sg*ax
c      y=sg*yx
c      z=sg*zx
c      ku=nint(a+z)
c      kd=nint(a-z+y)
c      ks=nint(a-y)
c      kc=0
c      return
c      end
c
cc-----------------------------------------------------------------------
c      function spoc(a,b,c,d,x)
cc-----------------------------------------------------------------------
cc     power fctn with cutoff
cc-----------------------------------------------------------------------
c      spoc=0
c      if(a.eq.0..and.b.eq.0.)return
c      spoc =a+b*x**c
c      spoc0=a+b*d**c
c      spoc=amin1(spoc,spoc0)
c      spoc=amax1(0.,spoc)
c      return
c      end
c
c-----------------------------------------------------------------------
      function utacos(x)
c-----------------------------------------------------------------------
c     returns acos(x) for -1 <= x <= 1 , acos(+-1) else
c-----------------------------------------------------------------------
      include 'epos.inc'
      argum=x
      if(x.lt.-1.)then
      if(ish.ge.1)then
      call utmsg('utacos')
      write(ifch,*)'*****  argum = ',argum,' set -1'
      call utmsgf
      endif
      argum=-1.
      elseif(x.gt.1.)then
      if(ish.ge.1)then
      call utmsg('utacos')
      write(ifch,*)'*****  argum = ',argum,' set 1'
      call utmsgf
      endif
      argum=1.
      endif
      utacos=acos(argum)
      return
      end

c----------------------------------------------------------------------
      function utamnu(keux,kedx,kesx,kecx,kebx,ketx,modus)
c----------------------------------------------------------------------
c     returns min mass of droplet with given u,d,s,c content
c     keux: net u quark number
c     kedx: net d quark number
c     kesx: net s quark number
c     kecx: net c quark number
c     kebx: net b quark number
c     ketx: net t quark number
c     modus: 4=two lowest multiplets; 5=lowest multiplet
c----------------------------------------------------------------------
      common/files/ifop,ifmt,ifch,ifcx,ifhi,ifdt,ifcp,ifdr
      common/csjcga/amnull,asuha(7)
      common/drop4/asuhax(7),asuhay(7)

      if(modus.lt.4.or.modus.gt.5)stop'UTAMNU: not supported'
c 1    format(' flavours:',6i5 )
c 100  format(' flavours+mass:',6i5,f8.2 )
c      write(ifch,1)keux,kedx,kesx,kecx,kebx,ketx

      amnull=0.

      do i=1,7
      if(modus.eq.4)asuha(i)=asuhax(i)    !two lowest multiplets
      if(modus.eq.5)asuha(i)=asuhay(i)    !lowest multiplet
      enddo

      ke=iabs(keux+kedx+kesx+kecx+kebx+ketx)

      if(keux+kedx+kesx+kecx+kebx+ketx.ge.0)then
      keu=keux
      ked=kedx
      kes=kesx
      kec=kecx
      keb=kebx
      ket=ketx
      else
      keu=-keux
      ked=-kedx
      kes=-kesx
      kec=-kecx
      keb=-kebx
      ket=-ketx
      endif

c      write(ifch,*)keu,ked,kes,kec,keb,ket

c   removing top mesons  to remove t quarks or antiquarks
      if(ket.ne.0)then
12    continue
      ii=sign(1,ket)
      ket=ket-ii
      if(ii*keu.le.ii*ked)then
      keu=keu+ii
      else
      ked=ked+ii
      endif
      amnull=amnull+200.    ! ???????
      if(ket.ne.0)goto12
      endif

c   removing bottom mesons  to remove b quarks or antiquarks
      if(keb.ne.0)then
11    continue
      ii=sign(1,keb)
      keb=keb-ii
      if(ii*keu.le.ii*ked)then
      keu=keu+ii
      else
      ked=ked+ii
      endif
      amnull=amnull+6. !5.28   ! (more than B-meson)
      if(keb.ne.0)goto11
      endif

c   removing charm mesons  to remove c quarks or antiquarks
      if(kec.ne.0)then
10    continue
      ii=sign(1,kec)
      kec=kec-ii
      if(keu*ii.le.ked*ii)then
      keu=keu+ii
      else
      ked=ked+ii
      endif
      amnull=amnull+2.2 !1.87  ! (more than D-meson)
      if(kec.ne.0)goto10
      endif

c      write(ifch,100)keu,ked,kes,kec,keb,ket,amnull

c   removing mesons to remove s antiquarks
5     continue
      if(kes.lt.0)then
      amnull=amnull+asuha(6)
      if(keu.ge.ked)then
      keu=keu-1
      else
      ked=ked-1
      endif
      kes=kes+1
      goto5
      endif

c   removing mesons to remove d antiquarks
6     continue
      if(ked.lt.0)then
      if(keu.ge.kes)then
      amnull=amnull+asuha(5)
      keu=keu-1
      else
      amnull=amnull+asuha(6)
      kes=kes-1
      endif
      ked=ked+1
      goto6
      endif

c   removing mesons to remove u antiquarks
7     continue
      if(keu.lt.0)then
      if(ked.ge.kes)then
      amnull=amnull+asuha(5)
      ked=ked-1
      else
      amnull=amnull+asuha(6)
      kes=kes-1
      endif
      keu=keu+1
      goto7
      endif

c      write(ifch,100)keu,ked,kes,kec,keb,ket,amnull
c      print*,keu,ked,kes,kec,keb,ket,amnull

      if(keu+ked+kes+kec+keb+ket.ne.ke)
     *call utstop('utamnu: sum_kei /= ke&')
      keq=keu+ked
      keqx=keq
      amnux=0

c   removing strange baryons
      i=4
2     i=i-1
3     continue
      if((4-i)*kes.gt.(i-1)*keq)then
      amnux=amnux+asuha(1+i)
      kes=kes-i
      keq=keq-3+i
      if(kes.lt.0)call utstop('utamnu: negative kes&')
      if(keq.lt.0)call utstop('utamnu: negative keq&')
      goto3
      endif
      if(i.gt.1)goto2
      if(keqx.gt.keq)then
      do 8 k=1,keqx-keq
      if(keu.ge.ked)then
      keu=keu-1
      else
      ked=ked-1
      endif
8     continue
      endif

      if(keu+ked.ne.keq)call utstop('utamnu: keu+ked /= keq&')
c      write(ifch,100)keu,ked,kes,kec,keb,ket,amnull+amnux
c      print*,keu,ked,kes,kec,keb,ket,amnull+amnux

c   removing nonstrange baryons
9     continue
      if(keu.gt.2*ked)then
      amnux=amnux+asuha(7)
      keu=keu-3
      if(keu.lt.0)call utstop('utamnu: negative keu&')
      goto9
      endif
      if(ked.gt.2*keu)then
      amnux=amnux+asuha(7)
      ked=ked-3
      if(ked.lt.0)call utstop('utamnu: negative ked&')
      goto9
      endif
      keq=keu+ked

c      write(ifch,100)keu,ked,kes,kec,keb,ket,amnull+amnux
c      print*,keu,ked,kes,kec,keb,ket,amnull+amnux

      if(mod(keq,3).ne.0)call utstop('utamnu: mod(keq,3) /= 0&')
      amnux=amnux+asuha(1)*keq/3

c      write(ifch,100)keu,ked,kes,kec,keb,ket,amnull+amnux
c      print*,keu,ked,kes,kec,keb,ket,amnull+amnux

      amnull=amnull+amnux

      if(amnull.eq.0)amnull=asuha(5)

      utamnu=amnull
      return
      end

c-----------------------------------------------------------------------
      function utamnx(jcp,jcm)
c-----------------------------------------------------------------------
c returns minimum mass for the decay of jcp---jcm (by calling utamnu).
c-----------------------------------------------------------------------
      parameter (nflav=6)
      integer jcp(nflav,2),jcm(nflav,2)

      do i=1,nflav
      do j=1,2
      if(jcp(i,j).ne.0)goto1
      enddo
      enddo
      keu=jcm(1,1)-jcm(1,2)
      ked=jcm(2,1)-jcm(2,2)
      kes=jcm(3,1)-jcm(3,2)
      kec=jcm(4,1)-jcm(4,2)
      keb=jcm(5,1)-jcm(5,2)
      ket=jcm(6,1)-jcm(6,2)
      utamnx=utamnu(keu,ked,kes,kec,keb,ket,5)
      return
1     continue

      do i=1,nflav
      do j=1,2
      if(jcm(i,j).ne.0)goto2
      enddo
      enddo
      keu=jcp(1,1)-jcp(1,2)
      ked=jcp(2,1)-jcp(2,2)
      kes=jcp(3,1)-jcp(3,2)
      kec=jcp(4,1)-jcp(4,2)
      keb=jcp(5,1)-jcp(5,2)
      ket=jcp(6,1)-jcp(6,2)
      utamnx=utamnu(keu,ked,kes,kec,keb,ket,5)
      return
2     continue

      keu=jcp(1,1)-jcp(1,2)
      ked=jcp(2,1)-jcp(2,2)
      kes=jcp(3,1)-jcp(3,2)
      kec=jcp(4,1)-jcp(4,2)
      keb=jcp(5,1)-jcp(5,2)
      ket=jcp(6,1)-jcp(6,2)
      ke=keu+ked+kes+kec+keb+ket
      if(mod(ke+1,3).eq.0)then
        keu=keu+1
        amms1=utamnu(keu,ked,kes,kec,keb,ket,5)
        keu=keu-1
        ked=ked+1
        amms2=utamnu(keu,ked,kes,kec,keb,ket,5)
      elseif(mod(ke-1,3).eq.0)then
        keu=keu-1
        amms1=utamnu(keu,ked,kes,kec,keb,ket,5)
        keu=keu+1
        ked=ked-1
        amms2=utamnu(keu,ked,kes,kec,keb,ket,5)
      else
        amms1=0
        amms2=0
        amms3=0
        amms4=0
        call utstop('utamnx: no singlet possible (1)&')
      endif
      keu=jcm(1,1)-jcm(1,2)
      ked=jcm(2,1)-jcm(2,2)
      kes=jcm(3,1)-jcm(3,2)
      kec=jcm(4,1)-jcm(4,2)
      keb=jcm(5,1)-jcm(5,2)
      ket=jcm(6,1)-jcm(6,2)
      ke=keu+ked+kes+kec+keb+ket
      if(mod(ke+1,3).eq.0)then
        keu=keu+1
        amms3=utamnu(keu,ked,kes,kec,keb,ket,5)
        keu=keu-1
        ked=ked+1
        amms4=utamnu(keu,ked,kes,kec,keb,ket,5)
      elseif(mod(ke-1,3).eq.0)then
        keu=keu-1
        amms3=utamnu(keu,ked,kes,kec,keb,ket,5)
        keu=keu+1
        ked=ked-1
        amms4=utamnu(keu,ked,kes,kec,keb,ket,5)
      else
        call utstop('utamnx: no singlet possible (2)&')
      endif
      utamnx=min(amms1+amms3,amms2+amms4)
c       print *,amms1,amms3,amms2,amms4,jcp,jcm
      return
      end



cc-----------------------------------------------------------------------
c      function utamny(jcp,jcm)
cc-----------------------------------------------------------------------
cc returns minimum mass of jcp+jcm (by calling utamnu).
cc-----------------------------------------------------------------------
c      parameter (nflav=6)
c      integer jcp(nflav,2),jcm(nflav,2),jc(nflav,2)
c      do 7 nf=1,nflav
c      jc(nf,1)=jcp(nf,1)+jcm(nf,1)
c7     jc(nf,2)=jcp(nf,2)+jcm(nf,2)
c      keu=jc(1,1)-jc(1,2)
c      ked=jc(2,1)-jc(2,2)
c      kes=jc(3,1)-jc(3,2)
c      kec=jc(4,1)-jc(4,2)
c      keb=jc(5,1)-jc(5,2)
c      ket=jc(6,1)-jc(6,2)
c      utamny=utamnu(keu,ked,kes,kec,keb,ket,5)
c      return
c      end
c
c-----------------------------------------------------------------------
      function utamnz(jc,modus)
c-----------------------------------------------------------------------
c returns minimum mass of jc (by calling utamnu).
c-----------------------------------------------------------------------
      parameter (nflav=6)
      integer jc(nflav,2)
      keu=jc(1,1)-jc(1,2)
      ked=jc(2,1)-jc(2,2)
      kes=jc(3,1)-jc(3,2)
      kec=jc(4,1)-jc(4,2)
      keb=jc(5,1)-jc(5,2)
      ket=jc(6,1)-jc(6,2)
      utamnz=utamnu(keu,ked,kes,kec,keb,ket,modus)
      return
      end

c-----------------------------------------------------------------------
      subroutine utar(i1,i2,i3,x0,x1,x2,x3,xx)
c-----------------------------------------------------------------------
c     returns the array xx with xx(1)=x0 <= xx(i) <= xx(i3)=x3
c-----------------------------------------------------------------------
      real xx(i3)
      do 1 i=1,i1-1
  1   xx(i)=x0+(i-1.)/(i1-1.)*(x1-x0)
      do 2 i=i1,i2-1
  2   xx(i)=x1+(i-i1*1.)/(i2-i1*1.)*(x2-x1)
      do 3 i=i2,i3
  3   xx(i)=x2+(i-i2*1.)/(i3-i2*1.)*(x3-x2)
      return
      end

cc---------------------------------------------------------------------
c      subroutine utaxis(i,j,a1,a2,a3)
cc-----------------------------------------------------------------------
cc     calculates the axis defined by the ptls i,j in the i,j cm system
cc---------------------------------------------------------------------
c      include 'epos.inc'
c      double precision pi1,pi2,pi3,pi4,pj1,pj2,pj3,pj4,p1,p2,p3,p4,p5
c     *,err,a
c      a1=0
c      a2=0
c      a3=1
c      pi1=dble(pptl(1,i))
c      pi2=dble(pptl(2,i))
c      pi3=dble(pptl(3,i))
c      pi4=dble(pptl(4,i))
c      pj1=dble(pptl(1,j))
c      pj2=dble(pptl(2,j))
c      pj3=dble(pptl(3,j))
c      pj4=dble(pptl(4,j))
c      p1=pi1+pj1
c      p2=pi2+pj2
c      p3=pi3+pj3
c      p4=pi4+pj4
c      p5=dsqrt(p4**2-p3**2-p2**2-p1**2)
c      call utlob2(1,p1,p2,p3,p4,p5,pi1,pi2,pi3,pi4,50)
c      call utlob2(1,p1,p2,p3,p4,p5,pj1,pj2,pj3,pj4,51)
c           err=(pi1+pj1)**2+(pi2+pj2)**2+(pi3+pj3)**2
c           if(err.gt.1d-3)then
c      call utmsg('utaxis')
c      write(ifch,*)'*****  err=',err
c      write(ifch,*)'pi:',pi1,pi2,pi3,pi4
c      write(ifch,*)'pj:',pj1,pj2,pj3,pj4
c      call utmsgf
c           endif
c      a=dsqrt( (pj1-pi1)**2 + (pj2-pi2)**2 + (pj3-pi3)**2 )
c      if(a.eq.0.d0)return
c      a1=sngl((pi1-pj1)/a)
c      a2=sngl((pi2-pj2)/a)
c      a3=sngl((pi3-pj3)/a)
c      return
c      end
c
cc---------------------------------------------------------------------
c      subroutine uthalf(i,j,zz1,zz2,iret)
cc-----------------------------------------------------------------------
cc     give equal energy (E_i+E_j)/2 to particle i+j in their cm system
cc---------------------------------------------------------------------
c      include 'epos.inc'
c      double precision pi1,pi2,pi3,pi4,pi5,pj1,pj2,pj3,pj4,pj5
c     *,p1,p2,p3,p4,p5,err,pt,pti,sinp,cosp,pmax,phi,drangen!,rrr
c      iret=0
c      pi1=dble(pptl(1,i))
c      pi2=dble(pptl(2,i))
c      pi3=dble(pptl(3,i))
c      pi5=dble(pptl(5,i))
c      pi4=sqrt(pi1**2+pi2**2+pi3**2+pi5**2)
c      pj1=dble(pptl(1,j))
c      pj2=dble(pptl(2,j))
c      pj3=dble(pptl(3,j))
c      pj5=dble(pptl(5,j))
c      pj4=sqrt(pj1**2+pj2**2+pj3**2+pj5**2)
c      if(ish.ge.6)then
c        write(ifch,*)'uthalf for ',i,' and ',j
c        write(ifch,*)'in ',idptl(i),pi1,pi2,pi3,pi4,pi5
c        write(ifch,*)'<> ',idptl(j),pj1,pj2,pj3,pj4,pj5
c      endif
c      p1=pi1+pj1
c      p2=pi2+pj2
c      p3=pi3+pj3
c      p4=pi4+pj4
c      p5=(p4-p3)*(p4+p3)-p2**2-p1**2
c      if(p5.lt.0d0.or.(pi3.lt.0.99d0*pj3.and.mod(ityptl(j)/10,10).eq.4)
c     &       .or.(pi3.gt.0.99d0*pj3.and.mod(ityptl(j)/10,10).eq.5))then
cc      if(p5.lt.0d0)then
c        if(ish.ge.7)write(ifch,*)'Inversion not possible (1)',p5,pi3,pj3
c        iret=1
c        return
c      else
c        p5=sqrt(p5)
c      endif
c      call utlob2(1,p1,p2,p3,p4,p5,pi1,pi2,pi3,pi4,50)
c      call utlob2(1,p1,p2,p3,p4,p5,pj1,pj2,pj3,pj4,51)
c           err=(pi1+pj1)**2+(pi2+pj2)**2+(pi3+pj3)**2
c           if(err.gt.1d-3)then
c      call utmsg('uthalf')
c      write(ifch,*)'*****  err=',err
c      write(ifch,*)'pi:',pi1,pi2,pi3,pi4
c      write(ifch,*)'pj:',pj1,pj2,pj3,pj4
c      call utmsgf
c           endif
c      if(ish.ge.8)then
c        write(ifch,*)'pi 1:',pi1,pi2,pi3,pi4,pi5
c     &       ,sqrt(pi1**2+pi2**2+pi3**2+pi5**2)
c        write(ifch,*)'pj 1:',pj1,pj2,pj3,pj4,pj5
c     &       ,sqrt(pj1**2+pj2**2+pj3**2+pj5**2)
c      endif
c
c      phi=drangen(p5)*2d0*dble(pi)
c      pti=sqrt(pi1*pi1+pi2*pi2)
c
cc      sinp=abs(asin(pi2/pti))
c
c      cosp=cos(phi)
c      sinp=sin(phi)
cc      cosp=pi1/pti
cc      sinp=pi2/pti
c      pini=abs(pi3)
c      pmax=pini
c
c      ntry=0
c 10   ntry=ntry+1
c      pi1=-pj1
c      pi2=-pj2
c      pi3=-pj3
c
c
cc      rrr=dble(ranptcut(4.))*max(0.1d0,dble(zz))+0.01d0
cc      rrr=dble(ranptcut(zz*max(1.,float(ntry/10)**3)))        !flip if pt too large
cc      rrr=dble(min(1.,ranptcut(zz/float(max(1,ntry/10)))))        !return if pt too large
c
c      rrr=rangen()
c      phi=dble(pi*zz1*(1.-rrr*zz2/float(max(1,ntry/10))))
c      call utroa2(phi,cosp,sinp,0d0,pi1,pi2,pi3)    !rotation around an axis perpendicular to p3
c      pt=pi1*pi1+pi2*pi2
c
ccc      pi3=pini*(1d0-(pmax/pini+1d0)*min(1d0,rrr))
ccc     &   *sign(1.d0,pi3)
cc      pi3=pini*(1d0-(pmax/pini+1d0)*(1d0-min(1d0,rrr)))
cc     &   *sign(1.d0,pi3)
cccc      pi3=(1d0-exp(-drangen(pti)))*pi3
cccc      pi3=min(1d0,(drangen()+exp(-min(100d0,dble(zz)))))*pi3
cccc      pi3=(dble(reminv)+exp(-min(100d0,dble(zz))))*pi3
cc      pt=((pi4+pi3)*(pi4-pi3)-pi5*pi5)
c      if(ish.ge.8)write(ifch,*)'ut',ntry,zz,rrr,-pi3/pj3,pt,pti*pti
c     &,idptl(i),idptl(j)
c      if((pt.lt.0d0.or.pt.gt.max(2.*pti*pti,1.d0))
cc      if(pt.lt.0d0
c     &                               .and.ntry.lt.1000)then
c        goto 10
c      elseif(ntry.ge.1000)then
c        if(ish.ge.7)write(ifch,*)'Inversion not possible (2)',pt,pti*pti
c        iret=1
c        return         !pion distribution fall at xf=1
cc        pi3=pj3       !if flip all particle with large pt
cc        pt=pti*pti    !then very very hard pi+ spectra (flat at xf=1 like in pp400 !)
c                       !but to hard for K, rho, eta, etc ..
c      endif
cc      print *,'ut',ntry,phi/(pi-sinp),zz,rrr,-pi3/pj3,pt/pti/pti
cc      pt=sqrt(pt)
cc      pi1=cosp*pt
cc      pi2=sinp*pt
c
c      pj1=-pi1
c      pj2=-pi2
c      pj3=-pi3
cc      pi4=sqrt(pi3*pi3+pt*pt+pi5*pi5)
cc      pj4=sqrt(pj3*pj3+pt*pt+pj5*pj5)
c      pi4=sqrt(pi3*pi3+pt+pi5*pi5)
c      pj4=sqrt(pj3*pj3+pt+pj5*pj5)
c      if(ish.ge.8)then
c        write(ifch,*)'pi 2:',pi1,pi2,pi3,pi4,pi5
c     &       ,sqrt(pi1**2+pi2**2+pi3**2+pi5**2)
c        write(ifch,*)'pj 2:',pj1,pj2,pj3,pj4,pj5
c     &       ,sqrt(pj1**2+pj2**2+pj3**2+pj5**2)
c      endif
c      call utlob2(-1,p1,p2,p3,p4,p5,pi1,pi2,pi3,pi4,-50)
c      call utlob2(-1,p1,p2,p3,p4,p5,pj1,pj2,pj3,pj4,-51)
c      if(pi3/dble(pptl(3,i)).gt.1.00001d0
c     &.or.(pi3.gt.1.001d0*pj3.and.mod(ityptl(j)/10,10).eq.4)
c     &.or.(pi3.lt.1.001d0*pj3.and.mod(ityptl(j)/10,10).eq.5))then
c        if(ish.ge.7)write(ifch,*)'Inversion not possible (3)',pi3,pj3
c        iret=1
c        return
c      endif
c      id=idptl(i)
c      pptl(1,i)=sngl(pi1)
c      pptl(2,i)=sngl(pi2)
c      pptl(3,i)=sngl(pi3)
c      pptl(4,i)=sngl(pi4)
c      pptl(5,i)=sngl(pi5)
cc      pptl(5,i)=sngl(pj5)
cc      idptl(i)=idptl(j)
c      pptl(1,j)=sngl(pj1)
c      pptl(2,j)=sngl(pj2)
c      pptl(3,j)=sngl(pj3)
c      pptl(4,j)=sngl(pj4)
c      pptl(5,j)=sngl(pj5)
cc      pptl(5,j)=sngl(pi5)
cc      idptl(j)=id
c      if(ish.ge.6)then
c        write(ifch,*)'out ',idptl(i),pi1,pi2,pi3,pi4
c        write(ifch,*)' <> ',idptl(j),pj1,pj2,pj3,pj4
c      endif
c
c      return
c      end
c
cc-----------------------------------------------------------------------
c      subroutine utchm(arp,arm,ii)
cc-----------------------------------------------------------------------
cc     checks whether arp**2=0 and arm**2=0.
cc-----------------------------------------------------------------------
c      include 'epos.inc'
c      double precision arp(4),arm(4),difp,difm
c      difp=arp(4)**2-arp(1)**2-arp(2)**2-arp(3)**2
c      difm=arm(4)**2-arm(1)**2-arm(2)**2-arm(3)**2
c      if(dabs(difp).gt.1e-3*arp(4)**2
c     *.or.dabs(difm).gt.1e-3*arm(4)**2)then
c      call utmsg('utchm ')
c      write(ifch,*)'*****  mass non zero  -  ',ii
c      write(ifch,*)'jet-mass**2`s:    ',difp,difm
c      write(ifch,*)'energy**2`s:      ',arp(4)**2,arm(4)**2
c      write(ifch,*)(sngl(arp(i)),i=1,4)
c      write(ifch,*)(sngl(arm(i)),i=1,4)
c      call utmsgf
c      endif
c      return
c      end
c
c-----------------------------------------------------------------------
      subroutine utclea(nptlii,nptl0)
c-----------------------------------------------------------------------
c     starting from nptlii
c     overwrites istptl=99 particles in /cptl/, reduces so nptl
c     and update minfra and maxfra
c-----------------------------------------------------------------------
      include 'epos.inc'
      integer newptl(mxptl)!,oldptl(mxptl),ii(mxptl)

      ish0=ish
      if(ishsub/100.eq.18)ish=mod(ishsub,100)

      call utpri('utclea',ish,ishini,2)

      nptli=max(maproj+matarg+1,nptlii)
      minfra0=minfra
      maxfra0=maxfra
      minfra1=maxfra
      maxfra1=minfra
      if(ish.ge.2)write(ifch,*)'entering subr utclea:',nptl
     &                                                ,minfra,maxfra
      if(ish.ge.7)then
      write(ifch,*)('-',l=1,68)
      write(ifch,*)'sr utclea. initial.'
      write(ifch,*)('-',l=1,68)
      do 34 n=nptli,nptl
      write(ifch,116)iorptl(n),jorptl(n),n,ifrptl(1,n),ifrptl(2,n)
     *,idptl(n),sqrt(pptl(1,n)**2+pptl(2,n)**2),pptl(3,n),pptl(5,n)
     *,istptl(n),ityptl(n)
34    continue
116   format(1x,i6,i6,4x,i6,4x,i6,i6,i12,3x,3(e8.2,1x),i3,i3)
      endif

c      ish=ish0
c      ish0=ish
c      if(ishsub/100.eq.18)ish=mod(ishsub,100)

      i=nptli-1
1     i=i+1
      if(i.gt.nptl)goto 1000
      if(istptl(i).eq.99)goto 2
      newptl(i)=i
c      oldptl(i)=i
      goto 1

2     i=i-1
      j=i
3     i=i+1
4     j=j+1
      if(j.gt.nptl)goto 5
      newptl(j)=0
      if(istptl(j).eq.99)goto 4
      newptl(j)=i
c      oldptl(i)=j
c      write(ifch,*)'move',j,' to ',i
c       write(ifch,*)idptl(i),ityptl(i),idptl(j),ityptl(j),minfra,maxfra
      call utrepl(i,j)
      if(j.ge.minfra0.and.j.le.maxfra0)then
        minfra1=min(minfra1,i)
        maxfra1=max(maxfra1,i)
      endif
      goto 3

5     nptl=i-1
      if(nptl.eq.0)then
        nptl0=0
        goto 1000
      endif

20    n0=newptl(nptl0)
      if(n0.gt.0)then
      nptl0=n0
      else
      nptl0=nptl0-1
      if(nptl0.gt.0)goto 20
      endif


c      do 11 k=1,nptl
c      io=iorptl(k)
c      if(io.le.0)ii(k)=io
c      if(io.gt.0)ii(k)=newptl(io)
c11    continue
c      do 12 k=1,nptl
c12    iorptl(k)=ii(k)
c
c      do 13 k=1,nptl
c      jo=jorptl(k)
c      if(jo.le.0)ii(k)=jo
c      if(jo.gt.0)ii(k)=newptl(jo)
c13    continue
c      do 14 k=1,nptl
c14    jorptl(k)=ii(k)
c
c      do 15 k=1,nptl
c      if1=ifrptl(1,k)
c      if(if1.le.0)ii(k)=if1
c      if(if1.gt.0)ii(k)=newptl(if1)
c15    continue
c      do 16 k=1,nptl
c16    ifrptl(1,k)=ii(k)
c
c      do 17 k=1,nptl
c      if2=ifrptl(2,k)
c      if(if2.le.0)ii(k)=if2
c      if(if2.gt.0)ii(k)=newptl(if2)
c17    continue
c      do 18 k=1,nptl
c18    ifrptl(2,k)=ii(k)
c
c      do 19 k=1,nptl
c      if(ifrptl(1,k).eq.0.and.ifrptl(2,k).gt.0)ifrptl(1,k)=ifrptl(2,k)
c      if(ifrptl(2,k).eq.0.and.ifrptl(1,k).gt.0)ifrptl(2,k)=ifrptl(1,k)
c19    continue

1000  continue

      if(minfra1.lt.minfra0)minfra=minfra1
      if(maxfra1.ge.minfra1)maxfra=maxfra1

      if(ish.ge.2)then
      write(ifch,*)'exiting subr utclea:'
      do 35 n=1,nptl
      write(ifch,116)iorptl(n),jorptl(n),n,ifrptl(1,n),ifrptl(2,n)
     *,idptl(n),sqrt(pptl(1,n)**2+pptl(2,n)**2),pptl(3,n),pptl(5,n)
     *,istptl(n),ityptl(n)
35    continue
      endif

      if(ish.ge.2)write(ifch,*)'exiting subr utclea:',nptl
     &                                                ,minfra,maxfra

      call utprix('utclea',ish,ishini,2)
      ish=ish0
      return
      end

c---------------------------------------------------------------------
      subroutine utfit(x,y,ndata,sig,mwt,a,b,siga,sigb,chi2,q)
c---------------------------------------------------------------------
c linear fit to data
c input:
c    ndata: nr of data points
c    x(),y(),sig(): data
c    mwt: unweighted (0) or weighted (else) data points
c output:
c    a,b: parameters of linear fit a+b*x
c---------------------------------------------------------------------
      INTEGER mwt,ndata
      REAL a,b,chi2,q,siga,sigb,sig(ndata),x(ndata),y(ndata)
CU    USES utgmq
      INTEGER i
      REAL sigdat,ss,st2,sx,sxoss,sy,t,wt,utgmq
      sx=0.
      sy=0.
      st2=0.
      b=0.
      if(mwt.ne.0) then
        ss=0.
        do 11 i=1,ndata
          wt=1./(sig(i)**2)
          ss=ss+wt
          sx=sx+x(i)*wt
          sy=sy+y(i)*wt
11      continue
      else
        do 12 i=1,ndata
          sx=sx+x(i)
          sy=sy+y(i)
12      continue
        ss=float(ndata)
      endif
      sxoss=sx/ss
      if(mwt.ne.0) then
        do 13 i=1,ndata
          t=(x(i)-sxoss)/sig(i)
          st2=st2+t*t
          b=b+t*y(i)/sig(i)
13      continue
      else
        do 14 i=1,ndata
          t=x(i)-sxoss
          st2=st2+t*t
          b=b+t*y(i)
14      continue
      endif
      b=b/st2
      a=(sy-sx*b)/ss
      siga=sqrt((1.+sx*sx/(ss*st2))/ss)
      sigb=sqrt(1./st2)
      chi2=0.
      if(mwt.eq.0) then
        do 15 i=1,ndata
          chi2=chi2+(y(i)-a-b*x(i))**2
15      continue
        q=1.
        sigdat=sqrt(chi2/(ndata-2))
        siga=siga*sigdat
        sigb=sigb*sigdat
      else
        do 16 i=1,ndata
          chi2=chi2+((y(i)-a-b*x(i))/sig(i))**2
16      continue
        q=utgmq(0.5*(ndata-2),0.5*chi2)
      endif
      return
      END

c-----------------------------------------------------------------------
      function utgam1(x)
c-----------------------------------------------------------------------
c  gamma fctn tabulated
c  single precision
c-----------------------------------------------------------------------
      double precision utgamtab,utgam,al,dl
      common/gamtab/utgamtab(10000)

      if(x.gt.0.01.and.x.lt.99.99)then
        al=100.d0*dble(x)
        k1=int(al)
        k2=k1+1
        dl =al-dble(k1)
        utgam1=real(utgamtab(k2)*dl+utgamtab(k1)*(1.d0-dl))
      elseif(x.eq.0.)then
        utgam1=0.
      else
        utgam1=real(utgam(dble(x)))
      endif

      end

c-----------------------------------------------------------------------
      double precision function utgam2(x)
c-----------------------------------------------------------------------
c  gamma fctn tabulated
c  double precision
c-----------------------------------------------------------------------
      double precision utgamtab,x,al,dl,utgam
      common/gamtab/utgamtab(10000)

      if(x.gt.0.01d0.and.x.le.99.99d0)then
        al=100.d0*x
        k1=int(al)
        k2=k1+1
        dl =al-dble(k1)
        utgam2=utgamtab(k2)*dl+utgamtab(k1)*(1.d0-dl)
      elseif(x.eq.0.d0)then
        utgam2=0.d0
      else
        utgam2=utgam(x)
      endif

      end

c-----------------------------------------------------------------------
      double precision function utgam(x)
c-----------------------------------------------------------------------
c  gamma fctn
c  double precision
c-----------------------------------------------------------------------
      include 'epos.inc'
      double precision c(13),x,z,f
      data c
     1/ 0.00053 96989 58808, 0.00261 93072 82746, 0.02044 96308 23590,
     2  0.07309 48364 14370, 0.27964 36915 78538, 0.55338 76923 85769,
     3  0.99999 99999 99998,-0.00083 27247 08684, 0.00469 86580 79622,
     4  0.02252 38347 47260,-0.17044 79328 74746,-0.05681 03350 86194,
     5  1.13060 33572 86556/
      utgam=0d0
      z=x
      if(x .gt. 170.d0) goto6
      if(x .gt. 0.0d0) goto1
      if(x .eq. int(x)) goto5
      z=1.0d0-z
    1 f=1.0d0/z
      if(z .le. 1.0d0) goto4
      f=1.0d0
    2 continue
      if(z .lt. 2.0d0) goto3
      z=z-1.0d0
      f=f*z
      goto2
    3 z=z-1.0d0
    4 utgam=
     1 f*((((((c(1)*z+c(2))*z+c(3))*z+c(4))*z+c(5))*z+c(6))*z+c(7))/
     2 ((((((c(8)*z+c(9))*z+c(10))*z+c(11))*z+c(12))*z+c(13))*z+1.0d0)
      if(x .gt. 0.0d0) return
      utgam=3.141592653589793d0/(sin(3.141592653589793d0*x)*utgam)
      return
    5 write(ifch,10)sngl(x)
   10 format(1x,'argument of gamma fctn = ',e20.5)
      call utstop('utgam : negative integer argument&')
    6 write(ifch,11)sngl(x)
   11 format(1x,'argument of gamma fctn = ',e20.5)
      call utstop('utgam : argument too large&')
      end

c---------------------------------------------------------------------
      subroutine utgcf(gammcf,a,x,gln)
c---------------------------------------------------------------------
      INTEGER ITMAX
      REAL a,gammcf,gln,x,EPS,FPMIN
      PARAMETER (ITMAX=100,EPS=3.e-7,FPMIN=1.e-30)
CU    USES utgmln
      INTEGER i
      REAL an,b,c,d,del,h,utgmln
      gln=utgmln(a)
      b=x+1.-a
      c=1./FPMIN
      d=1./b
      h=d
      do 11 i=1,ITMAX
        an=-i*(i-a)
        b=b+2.
        d=an*d+b
        if(abs(d).lt.FPMIN)d=FPMIN
        c=b+an/c
        if(abs(c).lt.FPMIN)c=FPMIN
        d=1./d
        del=d*c
        h=h*del
        if(abs(del-1.).lt.EPS)goto 1
11    continue
      call utstop("a too large, ITMAX too small in utgcf&")
1     gammcf=exp(-x+a*log(x)-gln)*h
      return
      END

c---------------------------------------------------------------------
      function utgmln(xx)
c---------------------------------------------------------------------
      REAL utgmln,xx
      INTEGER j
      DOUBLE PRECISION ser,stp,tmp,x,y,cof(6)
      SAVE cof,stp
      DATA cof,stp/76.18009172947146d0,-86.50532032941677d0,
     *24.01409824083091d0,-1.231739572450155d0,.1208650973866179d-2,
     *-.5395239384953d-5,2.5066282746310005d0/
      x=xx
      y=x
      tmp=x+5.5d0
      tmp=(x+0.5d0)*log(tmp)-tmp
      ser=1.000000000190015d0
      do 11 j=1,6
        y=y+1.d0
        ser=ser+cof(j)/y
11    continue
      utgmln=tmp+log(stp*ser/x)
      return
      END

c---------------------------------------------------------------------
      function utgmq(a,x)
c---------------------------------------------------------------------
      REAL a,utgmq,x
CU    USES utgcf,utgser
      REAL gammcf,gamser,gln
      if(x.lt.0..or.a.le.0.) call utstop("bad arguments in utgmq&")
      if(x.lt.a+1.)then
        call utgser(gamser,a,x,gln)
        utgmq=1.-gamser
      else
        call utgcf(gammcf,a,x,gln)
        utgmq=gammcf
      endif
      return
      END

c---------------------------------------------------------------------
      subroutine utgser(gamser,a,x,gln)
c---------------------------------------------------------------------
      INTEGER ITMAX
      REAL a,gamser,gln,x,EPS
      PARAMETER (ITMAX=100,EPS=3.e-7)
CU    USES utgmln
      INTEGER n
      REAL ap,del,sum,utgmln
      gln=utgmln(a)
      if(x.le.0.)then
        if(x.lt.0.)call utstop("x < 0 in utgser&")
        gamser=0.
        return
      endif
      ap=a
      sum=1./a
      del=sum
      do 11 n=1,ITMAX
        ap=ap+1.
        del=del*x/ap
        sum=sum+del
        if(abs(del).lt.abs(sum)*EPS)goto 1
11    continue
      call utstop("a too large, ITMAX too small in utgser&")
1     gamser=sum*exp(-x+a*log(x)-gln)
      return
      END

c-------------------------------------------------------------------------
      subroutine uticpl(ic,ifla,iqaq,iret)
c-------------------------------------------------------------------------
c  adds a quark (iqaq=1) or antiquark (iqaq=2) of flavour ifla
c  to 2-id ic
c-------------------------------------------------------------------------
      include 'epos.inc'
      integer jc(nflav,2),ic(2)
      iret=0
      if(ifla.eq.0)return
      call iddeco(ic,jc)
      if(ish.ge.8)write(ifch,'(2i8,12i3)')ic,jc
      jqaq=3-iqaq
      if(jc(ifla,jqaq).gt.0)then
      jc(ifla,jqaq)=jc(ifla,jqaq)-1
      else
      jc(ifla,iqaq)=jc(ifla,iqaq)+1
      endif
      call idcomj(jc)
      call idenco(jc,ic,ireten)
      if(ish.ge.8)write(ifch,'(2i8,12i3)')ic,jc
      if(ireten.eq.1)iret=1
      if(ic(1).eq.0.and.ic(2).eq.0.and.ireten.eq.0)then
      ic(1)=100000
      ic(2)=100000
      endif
      return
      end

cc-----------------------------------------------------------------------
c      subroutine utindx(n,xar,x,i)
cc-----------------------------------------------------------------------
cc  input:  dimension n
cc          array xar(n) with xar(i) > xar(i-1)
cc          some number x between xar(1) and xar(n)
cc  output: the index i such that x is between xar(i)  and xar(i+1)
cc-----------------------------------------------------------------------
c      include 'epos.inc'
c      real xar(n)
c           if(x.lt.xar(1))then
c      if(ish.ge.5)then
c      call utmsg('utindx')
c      write(ifch,*)'*****  x=',x,' < xar(1)=',xar(1)
c      call utmsgf
c      endif
c      i=1
c      return
c           elseif(x.gt.xar(n))then
c      if(ish.ge.5)then
c      call utmsg('utindx')
c      write(ifch,*)'*****  x=',x,' > xar(n)=',xar(n)
c      call utmsgf
c      endif
c      i=n
c      return
c           endif
c      lu=1
c      lo=n
c1     lz=(lo+lu)/2
c      if((xar(lu).le.x).and.(x.le.xar(lz)))then
c      lo=lz
c      elseif((xar(lz).lt.x).and.(x.le.xar(lo)))then
c      lu=lz
c      else
c      call utstop('utindx: no interval found&')
c      endif
c      if((lo-lu).ge.2) goto1
c      if(lo.le.lu)call utstop('utinvt: lo.le.lu&')
c      i=lu
c      return
c      end
c
c-----------------------------------------------------------------------
      function utinvt(n,x,q,y)
c-----------------------------------------------------------------------
c     returns x with y=q(x)
c-----------------------------------------------------------------------
      include 'epos.inc'
      real x(n),q(n)
      if(q(n).eq.0.)call utstop('utinvt: q(n)=0&')
           if(y.lt.0.)then
      if(ish.ge.1)then
      call utmsg('utinvt')
      write(ifch,*)'*****  y=',y,' < 0'
      call utmsgf
      endif
      y=0.
           elseif(y.gt.q(n))then
      if(ish.ge.1)then
      call utmsg('utinvt')
      write(ifch,*)'*****  y=',y,' > ',q(n)
      call utmsgf
      endif
      y=q(n)
           endif
      lu=1
      lo=n
1     lz=(lo+lu)/2
      if((q(lu).le.y).and.(y.le.q(lz)))then
      lo=lz
      elseif((q(lz).lt.y).and.(y.le.q(lo)))then
      lu=lz
      else
      write(ifch,*)'q(1),y,q(n):',q(1),y,q(n)
      write(ifch,*)'lu,lz,lo:',lu,lz,lo
      write(ifch,*)'q(lu),q(lz),q(lo):',q(lu),q(lz),q(lo)
      call utstop('utinvt: no interval found&')
      endif
      if((lo-lu).ge.2) goto1
      if(lo.le.lu)call utstop('utinvt: lo.le.lu&')
      utinvt=x(lu)+(y-q(lu))*(x(lo)-x(lu))/(q(lo)-q(lu))
      return
      end

c-----------------------------------------------------------------------
      subroutine utlob2(isig,p1,p2,p3,p4,p5,x1,x2,x3,x4,idi)
c-----------------------------------------------------------------------
c  performs a lorentz boost, double prec.
c  isig=+1 is to boost the four vector x1,x2,x3,x4 such as to obtain it
c  in the frame specified by the 5-vector p1...p5 (5-vector=4-vector+mass).
c  isig=-1: the other way round, that means,
c  if the 4-vector x1...x4 is given in some frame characterized by
c  p1...p5 with respect to to some lab-frame, utlob2 returns the 4-vector
c  x1...x4  in the lab frame.
c  idi is a call identifyer (integer) to identify the call in case of problem
c-----------------------------------------------------------------------
      include 'epos.inc'
      double precision beta(4),z(4),p1,p2,p3,p4,p5,pp,bp,x1,x2,x3,x4
     *,xx0,x10,x20,x30,x40,x4x,x0123
           if(ish.ge.2)then
      if(ish.ge.9)then
      write(ifch,101)x1,x2,x3,x4,(x4-x3)*(x4+x3)-x2*x2-x1*x1
      write(ifch,301)p1,p2,p3,p4,p5,(p4-p3)*(p4+p3)-p2*p2-p1*p1
101   format(' utlob2: x =  ',5e13.5)
301   format('         p =  ',6e13.5)
      endif
      pp=(p4-p3)*(p4+p3)-p2*p2-p1*p1
      if(dabs(pp-p5*p5).gt.1e-3*p4*p4.and.dabs(pp-p5*p5).gt.1e-3)then
      call utmsg('utlob2')
      write(ifch,*)'*****  p**2 .ne. p5**2'
      write(ifch,*)'call identifyer:',idi
      write(ifch,*)'p**2,p5**2: ',pp,p5*p5
      write(ifch,*)'p: ',p1,p2,p3,p4,p5
      call utmsgf
      endif
      x10=x1
      x20=x2
      x30=x3
      x40=x4
           endif
      xx0=(x4-x3)*(x4+x3)-x2*x2-x1*x1
      if(p5.le.0.)then
      call utmsg('utlob2')
      write(ifch,*)'*****  p5 negative.'
      write(ifch,*)'call identifyer:',idi
      write(ifch,*)'p(5): ',p1,p2,p3,p4,p5
      write(ifmt,*)'call identifyer:',idi
      write(ifmt,*)'p(5): ',p1,p2,p3,p4,p5
      call utmsgf
      call utstop('utlob2: p5 negative.&')
      endif
      z(1)=x1
      z(2)=x2
      z(3)=x3
      z(4)=x4
      beta(1)=-p1/p5
      beta(2)=-p2/p5
      beta(3)=-p3/p5
      beta(4)= p4/p5
      bp=0.
      do 220 k=1,3
220   bp=bp+z(k)*isig*beta(k)
      do 230 k=1,3
230   z(k)=z(k)+isig*beta(k)*z(4)
     *+isig*beta(k)*bp/(beta(4)+1.)
      z(4)=beta(4)*z(4)+bp
      x1=z(1)
      x2=z(2)
      x3=z(3)
      x4=z(4)
      if(ish.ge.9)
     *write(ifch,101)x1,x2,x3,x4,(x4-x3)*(x4+x3)-x2*x2-x1*x1
      x4x=x4
      x0123=xx0+x1*x1+x2*x2+x3*x3
      if(x0123.gt.0.)then
      x4=sign( dsqrt(x0123) , x4x )
      else
      x4=0
      endif
      if(ish.ge.9)then
      write(ifch,101)x1,x2,x3,x4,(x4-x3)*(x4+x3)-x2*x2-x1*x1
      endif
           if(ish.ge.2)then
      if(ish.ge.9)write(ifch,*)'check x**2_ini -- x**2_fin'
      if(dabs(x4-x4x).gt.1d-2*dabs(x4).and.dabs(x4-x4x).gt.1d-2)then
      call utmsg('utlob2')
      write(ifch,*)'*****  x**2_ini .ne. x**2_fin.'
      write(ifch,*)'call identifyer:',idi
      write(ifch,*)'x1 x2 x3 x4 x**2 (initial/final/corrected):'
102   format(5e13.5)
      write(ifch,102)x10,x20,x30,x40,(x40-x30)*(x40+x30)-x20*x20-x10*x10
      write(ifch,102)x1,x2,x3,x4x,(x4x-x3)*(x4x+x3)-x2*x2-x1*x1
      write(ifch,102)x1,x2,x3,x4,(x4-x3)*(x4+x3)-x2*x2-x1*x1
      call utmsgf
      endif
           endif
      if(ish.ge.9)write(ifch,*)'return from utlob2'
      return
      end

c-----------------------------------------------------------------------
      subroutine utlob3(isig,p1,p2,p3,p4,p5,x1,x2,x3,x4)
c-----------------------------------------------------------------------
c  performs a lorentz boost, double prec.
c  but arguments are single precision
c-----------------------------------------------------------------------
      double precision xx1,xx2,xx3,xx4
      xx1=dble(x1)
      xx2=dble(x2)
      xx3=dble(x3)
      xx4=dble(x4)
      call utlob2(isig
     *,dble(p1),dble(p2),dble(p3),dble(p4),dble(p5)
     *,xx1,xx2,xx3,xx4,52)
      x1=sngl(xx1)
      x2=sngl(xx2)
      x3=sngl(xx3)
      x4=sngl(xx4)
      return
      end

c-----------------------------------------------------------------------
      subroutine utlob5(yboost,x1,x2,x3,x4,x5)
c-----------------------------------------------------------------------
      amt=sqrt(x5**2+x1**2+x2**2)
      y=sign(1.,x3)*alog((x4+abs(x3))/amt)
      y=y-yboost
      x4=amt*cosh(y)
      x3=amt*sinh(y)
      return
      end

c-----------------------------------------------------------------------
      subroutine utlob4(isig,pp1,pp2,pp3,pp4,pp5,x1,x2,x3,x4)
c-----------------------------------------------------------------------
c  performs a lorentz boost, double prec.
c  but arguments are partly single precision
c-----------------------------------------------------------------------
      double precision xx1,xx2,xx3,xx4,pp1,pp2,pp3,pp4,pp5
      xx1=dble(x1)
      xx2=dble(x2)
      xx3=dble(x3)
      xx4=dble(x4)
      call utlob2(isig,pp1,pp2,pp3,pp4,pp5,xx1,xx2,xx3,xx4,53)
      x1=sngl(xx1)
      x2=sngl(xx2)
      x3=sngl(xx3)
      x4=sngl(xx4)
      return
      end


c-----------------------------------------------------------------------
      subroutine utlobo(isig,p1,p2,p3,p4,p5,x1,x2,x3,x4)
c-----------------------------------------------------------------------
c     performs a lorentz boost
c-----------------------------------------------------------------------
      include 'epos.inc'
      real beta(4),z(4)
      if(p5.le.0.)then
      call utmsg('utlobo')
      write(ifch,*)'*****  mass <= 0.'
      write(ifch,*)'p(5): ',p1,p2,p3,p4,p5
      call utmsgf
      call utstop('utlobo: mass <= 0.&')
      endif
      z(1)=x1
      z(2)=x2
      z(3)=x3
      z(4)=x4
      beta(1)=-p1/p5
      beta(2)=-p2/p5
      beta(3)=-p3/p5
      beta(4)= p4/p5
      bp=0.
      do 220 k=1,3
220   bp=bp+z(k)*isig*beta(k)
      do 230 k=1,3
230   z(k)=z(k)+isig*beta(k)*z(4)
     *+isig*beta(k)*bp/(beta(4)+1.)
      z(4)=beta(4)*z(4)+bp
      x1=z(1)
      x2=z(2)
      x3=z(3)
      x4=z(4)
      return
      end

c-----------------------------------------------------------------------
      subroutine utloc(ar,n,a,l)
c-----------------------------------------------------------------------
      real ar(n)
      do 1 i=1,n
      l=i-1
      if(a.lt.ar(i))return
1     continue
      l=n
      return
      end

cc-----------------------------------------------------------------------
c      subroutine utlow(cone)
cc-----------------------------------------------------------------------
c      character*1 cone
c      if(cone.eq.'A')cone='a'
c      if(cone.eq.'B')cone='b'
c      if(cone.eq.'C')cone='c'
c      if(cone.eq.'D')cone='d'
c      if(cone.eq.'E')cone='e'
c      if(cone.eq.'F')cone='f'
c      if(cone.eq.'G')cone='g'
c      if(cone.eq.'H')cone='h'
c      if(cone.eq.'I')cone='i'
c      if(cone.eq.'J')cone='j'
c      if(cone.eq.'K')cone='k'
c      if(cone.eq.'L')cone='l'
c      if(cone.eq.'M')cone='m'
c      if(cone.eq.'N')cone='n'
c      if(cone.eq.'O')cone='o'
c      if(cone.eq.'P')cone='p'
c      if(cone.eq.'Q')cone='q'
c      if(cone.eq.'R')cone='r'
c      if(cone.eq.'S')cone='s'
c      if(cone.eq.'T')cone='t'
c      if(cone.eq.'U')cone='u'
c      if(cone.eq.'V')cone='v'
c      if(cone.eq.'W')cone='w'
c      if(cone.eq.'X')cone='x'
c      if(cone.eq.'Y')cone='y'
c      if(cone.eq.'Z')cone='z'
c      return
c      end
c
cc-----------------------------------------------------------------------
c      subroutine utlow3(cthree)
cc-----------------------------------------------------------------------
c      character cthree*3
c      do 1 i=1,3
c1     call utlow(cthree(i:i))
c      return
c      end
c
cc-----------------------------------------------------------------------
c      subroutine utlow6(csix)
cc-----------------------------------------------------------------------
c      character csix*6
c      do 1 i=1,6
c1     call utlow(csix(i:i))
c      return
c      end
c
cc-----------------------------------------------------------------------
c      function utmom(k,n,x,q)
cc-----------------------------------------------------------------------
cc     calculates kth moment for f(x) with q(i)=int[0,x(i)]f(z)dz
cc-----------------------------------------------------------------------
c      real x(n),q(n)
c      if(n.lt.2)call utstop('utmom : dimension too small&')
c      utmom=0
c      do 1 i=2,n
c1     utmom=utmom+((x(i)+x(i-1))/2)**k*(q(i)-q(i-1))
c      utmom=utmom/q(n)
c      return
c      end
c
c-----------------------------------------------------------------------
      function utpcm(a,b,c)
c-----------------------------------------------------------------------
c     calculates cm momentum for a-->b+c
c-----------------------------------------------------------------------
      val=(a*a-b*b-c*c)*(a*a-b*b-c*c)-(2.*b*c)*(2.*b*c)
      if(val.lt.0..and.val.gt.-1e-4)then
      utpcm=0
      return
      endif
      utpcm=sqrt(val)/(2.*a)
      return
      end

c-----------------------------------------------------------------------
      double precision function utpcmd(a,b,c,iret)
c-----------------------------------------------------------------------
c     calculates cm momentum for a-->b+c
c-----------------------------------------------------------------------
      double precision a,b,c,val
      iret=0
      val=(a*a-b*b-c*c)*(a*a-b*b-c*c)-(2.*b*c)*(2.*b*c)
      utpcmd=0d0
      if(val.lt.0d0.and.val.gt.-1d-4)then
        return
      elseif(val.lt.0d0)then
        iret=1
        return
      endif
      utpcmd=sqrt(val)/(2.d0*a)
      return
      end

c-----------------------------------------------------------------------
      subroutine utpri(text,ishi,ishini,ishx)
c-----------------------------------------------------------------------
      include 'epos.inc'
      character*6 text
c      double precision seedx                               !!!
      ishini=ishi
      if(ishevt.ne.0.and.nrevt+1.ne.ishevt)return
      if(nrpri.gt.0)then
      do nr=1,nrpri
      if(subpri(nr)(1:6).eq.text)then
      ishi=ishpri(nr)
      endif
      enddo
      endif
      if(ish.ge.ishx)then
        write(ifch,'(1x,43a)')
     *  ('-',i=1,10),' entry ',text,' ',('-',i=1,30)
c       call ranfgt(seedx)                                   !!!
c       if(ish.ge.ishx)write(ifch,*)'seed:',seedx            !!!
      endif
      return
      end

c-----------------------------------------------------------------------
      subroutine utprix(text,ishi,ishini,ishx)
c-----------------------------------------------------------------------
      include 'epos.inc'
      character*6 text
      if(ishevt.ne.0.and.nrevt+1.ne.ishevt)return
      if(ish.ge.ishx)write(ifch,'(1x,44a)')
     *('-',i=1,30),' exit ',text,' ',('-',i=1,11)
      ishi=ishini
      return
      end

c-----------------------------------------------------------------------
      subroutine utprj(text,ishi,ishini,ishx)
c-----------------------------------------------------------------------
      include 'epos.inc'
      character*20 text
c      double precision seedx                               !!!
      idx=index(text,' ')-1
      ishini=ishi
      if(ishevt.ne.0.and.nrevt+1.ne.ishevt)return
      if(nrpri.gt.0)then
      do nr=1,nrpri
      if(subpri(nr)(1:idx).eq.text(1:idx))then
      ishi=ishpri(nr)
      endif
      enddo
      endif
      if(ish.ge.ishx)then
        write(ifch,'(1x,43a)')
     *  ('-',i=1,10),' entry ',text(1:idx),' ',('-',i=1,30)
c       call ranfgt(seedx)                                   !!!
c       if(ish.ge.ishx)write(ifch,*)'seed:',seedx            !!!
      endif
      return
      end

c-----------------------------------------------------------------------
      subroutine utprjx(text,ishi,ishini,ishx)
c-----------------------------------------------------------------------
      include 'epos.inc'
      character*20 text
      idx=index(text,' ')-1
      if(ishevt.ne.0.and.nrevt+1.ne.ishevt)return
      if(ish.ge.ishx)write(ifch,'(1x,44a)')
     *('-',i=1,30),' exit ',text(1:idx),' ',('-',i=1,11)
      ishi=ishini
      return
      end

c-----------------------------------------------------------------------
      function utquad(m,x,f,k)
c-----------------------------------------------------------------------
c     performs an integration according to simpson
c-----------------------------------------------------------------------
      real x(m),f(m)
      utquad=0
      do 1 i=1,k-1
  1   utquad=utquad+(f(i)+f(i+1))/2*(x(i+1)-x(i))
      return
      end

c-----------------------------------------------------------------------
      subroutine utquaf(fu,n,x,q,x0,x1,x2,x3)
c-----------------------------------------------------------------------
c     returns q(i) = integral [x(1)->x(i)] fu(x) dx
c-----------------------------------------------------------------------
      include 'epos.inc'
      real x(n),q(n)
      parameter (m=10)
      real xa(m),fa(m)
      external fu
      if(x1.lt.x0.or.x2.lt.x1.or.x3.lt.x2)then
      if(ish.ge.1)then
      call utmsg('utquaf')
      write(ifch,*)'   xi=',x0,x1,x2,x3
      call utmsgf
      endif
      endif
      call utar(n/3,n*2/3,n,x0,x1,x2,x3,x)
      q(1)=0
      do 2 i=2,n
      do 3 k=1,m
      z=x(i-1)+(k-1.)/(m-1.)*(x(i)-x(i-1))
      xa(k)=z
3     fa(k)=fu(z)
      q(i)=q(i-1)+utquad(m,xa,fa,m)
2     continue
      return
      end

c-----------------------------------------------------------------------
      subroutine utrepl(i,j)
c-----------------------------------------------------------------------
c     i is replaced by j in /cptl/
c-----------------------------------------------------------------------
      include 'epos.inc'
      do 1 k=1,5
1     pptl(k,i)  =pptl(k,j)
      iorptl(i)  = 0 !iorptl(j)
      idptl(i)   =idptl(j)
      istptl(i)  =istptl(j)
      do 2 k=1,2
2     tivptl(k,i)=tivptl(k,j)
      do 3 k=1,2
3     ifrptl(k,i)= 0 !ifrptl(k,j)
      jorptl(i)  = 0 !jorptl(j)
      do 4 k=1,4
4     xorptl(k,i)=xorptl(k,j)
      do 5 k=1,4
5     ibptl(k,i) =ibptl(k,j)
      ityptl(i)  =ityptl(j)
      iaaptl(i)  =iaaptl(j)
      radptl(i)  =radptl(j)
      desptl(i)  =desptl(j)
      dezptl(i)  =dezptl(j)
      qsqptl(i)  =qsqptl(j)
      zpaptl(1,i)=zpaptl(1,j)
      zpaptl(2,i)=zpaptl(2,j)
      itsptl(i)  =itsptl(j)
      rinptl(i)  =rinptl(j)
      return
      end

c-----------------------------------------------------------------------
      subroutine utrepla(i,j)
c-----------------------------------------------------------------------
c     i is replaced by j in /cptl/
c-----------------------------------------------------------------------
      include 'epos.inc'
      do 1 k=1,5
1     pptl(k,i)  =pptl(k,j)
      iorptl(i)  = iorptl(j)
      idptl(i)   =idptl(j)
      istptl(i)  =istptl(j)
      do 2 k=1,2
2     tivptl(k,i)=tivptl(k,j)
      do 3 k=1,2
3     ifrptl(k,i)= ifrptl(k,j)
      jorptl(i)  = jorptl(j)
      do 4 k=1,4
4     xorptl(k,i)=xorptl(k,j)
      do 5 k=1,4
5     ibptl(k,i) =ibptl(k,j)
      ityptl(i)  =ityptl(j)
      iaaptl(i)  =iaaptl(j)
      radptl(i)  =radptl(j)
      desptl(i)  =desptl(j)
      dezptl(i)  =dezptl(j)
      qsqptl(i)  =qsqptl(j)
      zpaptl(1,i)=zpaptl(1,j)
      zpaptl(2,i)=zpaptl(2,j)
      itsptl(i)  =itsptl(j)
      rinptl(i)  =rinptl(j)
      return
      end

cc-----------------------------------------------------------------------
c      subroutine utresm(icp1,icp2,icm1,icm2,amp,idpr,iadj,ireten)
cc-----------------------------------------------------------------------
c      parameter (nflav=6)
c      integer icm(2),icp(2),jcm(nflav,2),jcp(nflav,2)
c      icm(1)=icm1
c      icm(2)=icm2
c      icp(1)=icp1
c      icp(2)=icp2
c      CALL IDDECO(ICM,JCM)
c      CALL IDDECO(ICP,JCP)
c      do 37 nf=1,nflav
c      do 37 k=1,2
c37    jcP(nf,k)=jcp(nf,k)+jcm(nf,k)
c      CALL IDENCO(JCP,ICP,IRETEN)
c      IDP=IDTRA(ICP,0,0,3)
c      call idres(idp,amp,idpr,iadj)
c      return
c      end
c
cc-----------------------------------------------------------------------
c      subroutine utroa1(phi,a1,a2,a3,x1,x2,x3)
cc-----------------------------------------------------------------------
cc  rotates x by angle phi around axis a.
cc  normalization of a is irrelevant.
cc-----------------------------------------------------------------------
c      double precision aaa,aa(3),xxx,xx(3),e1(3),e2(3),e3(3),xp,xt,dphi
c      dphi=phi
c      xx(1)=x1
c      xx(2)=x2
c      xx(3)=x3
c      aa(1)=a1
c      aa(2)=a2
c      aa(3)=a3
c      aaa=0
c      xxx=0
c      do i=1,3
c      aaa=aaa+aa(i)**2
c      xxx=xxx+xx(i)**2
c      enddo
c      if(xxx.eq.0d0)return
c      if(aaa.eq.0d0)call utstop('utroa1: zero rotation axis&')
c      aaa=dsqrt(aaa)
c      xxx=dsqrt(xxx)
cc e3 = a / !a!
c      do i=1,3
c      e3(i)=aa(i)/aaa
c      enddo
cc x_parallel
c      xp=0
c      do i=1,3
c      xp=xp+xx(i)*e3(i)
c      enddo
cc x_transverse
c      if(xxx**2-xp**2.le.0.)return
c      xt=dsqrt(xxx**2-xp**2)
cc e1 = vector x_transverse / absolute value x_transverse
c      do i=1,3
c      e1(i)=(xx(i)-e3(i)*xp)/xt
c      enddo
cc e2 orthogonal e3,e1
c      call utvec2(e3,e1,e2)
cc rotate x
c      do i=1,3
c      xx(i)=xp*e3(i)+xt*dcos(dphi)*e1(i)+xt*dsin(dphi)*e2(i)
c      enddo
cc back to single precision
c      x1=xx(1)
c      x2=xx(2)
c      x3=xx(3)
c      return
c      end
c
c-----------------------------------------------------------------------
      subroutine utroa1(phi,a1,a2,a3,x1,x2,x3)
c-----------------------------------------------------------------------
c  rotates x by angle phi around axis a (argument single precision)
c  normalization of a is irrelevant.
c-----------------------------------------------------------------------
      double precision aa(3),xx(3),dphi
      dphi=phi
      xx(1)=x1
      xx(2)=x2
      xx(3)=x3
      aa(1)=a1
      aa(2)=a2
      aa(3)=a3
      call utroa2(dphi,aa(1),aa(2),aa(3),xx(1),xx(2),xx(3))
c back to single precision
      x1=sngl(xx(1))
      x2=sngl(xx(2))
      x3=sngl(xx(3))
      return
      end

c-----------------------------------------------------------------------
      subroutine utroa2(phi,a1,a2,a3,x1,x2,x3)
c-----------------------------------------------------------------------
c  rotates x by angle phi around axis a.
c  normalization of a is irrelevant.
c  double precision phi,a1,a2,a3,x1,x2,x3
c-----------------------------------------------------------------------
      double precision phi,a1,a2,a3,x1,x2,x3
      double precision aaa,aa(3),xxx,xx(3),e1(3),e2(3),e3(3),xp,xt,dphi
      dphi=phi
      xx(1)=x1
      xx(2)=x2
      xx(3)=x3
      aa(1)=a1
      aa(2)=a2
      aa(3)=a3
      aaa=0d0
      xxx=0d0
      do i=1,3
      aaa=aaa+aa(i)**2
      xxx=xxx+xx(i)**2
      enddo
      if(xxx.eq.0d0)return
      if(aaa.eq.0d0)call utstop('utroa1: zero rotation axis&')
      aaa=1.0/dsqrt(aaa)
c e3 = a / !a!
      do i=1,3
      e3(i)=aa(i)*aaa
      enddo
c x_parallel
      xp=0
      do i=1,3
      xp=xp+xx(i)*e3(i)
      enddo
c x_transverse
      if(xxx-xp**2.le.0.)return
      xt=dsqrt(xxx-xp**2)
c e1 = vector x_transverse / absolute value x_transverse
      do i=1,3
      e1(i)=(xx(i)-e3(i)*xp)/xt
      enddo
c e2 orthogonal e3,e1
      call utvec2(e3,e1,e2)
c rotate x
      do i=1,3
      xx(i)=xp*e3(i)+xt*cos(dphi)*e1(i)+xt*sin(dphi)*e2(i)
      enddo
      xxx=0d0
      do i=1,3
      xxx=xxx+xx(i)**2
      enddo
c back to single precision
      x1=xx(1)
      x2=xx(2)
      x3=xx(3)
      return
      end

cc--------------------------------------------------------------------
c      function utroot(funcd,x1,x2,xacc)
cc--------------------------------------------------------------------
cc combination of newton-raphson and bisection method for root finding
cc input:
cc   funcd: subr returning fctn value and first derivative
cc   x1,x2: x-interval
cc   xacc:  accuracy
cc output:
cc   utroot: root
cc--------------------------------------------------------------------
c      include 'epos.inc'
c      INTEGER MAXIT
c      REAL utroot,x1,x2,xacc
c      EXTERNAL funcd
c      PARAMETER (MAXIT=100)
c      INTEGER j
c      REAL df,dx,dxold,f,fh,fl,temp,xh,xl
c      call funcd(x1,fl,df)
c      call funcd(x2,fh,df)
c      if((fl.gt.0..and.fh.gt.0.).or.(fl.lt.0..and.fh.lt.0.))
c     *call utstop('utroot: root must be bracketed&')
c      if(fl.eq.0.)then
c        utroot=x1
c        return
c      else if(fh.eq.0.)then
c        utroot=x2
c        return
c      else if(fl.lt.0.)then
c        xl=x1
c        xh=x2
c      else
c        xh=x1
c        xl=x2
c      endif
c      utroot=.5*(x1+x2)
c      dxold=abs(x2-x1)
c      dx=dxold
c      call funcd(utroot,f,df)
c      do 11 j=1,MAXIT
c        if(((utroot-xh)*df-f)*((utroot-xl)*df-f).ge.0..or. abs(2.*
c     *f).gt.abs(dxold*df) ) then
c          dxold=dx
c          dx=0.5*(xh-xl)
c          utroot=xl+dx
c          if(xl.eq.utroot)return
c        else
c          dxold=dx
c          dx=f/df
c          temp=utroot
c          utroot=utroot-dx
c          if(temp.eq.utroot)return
c        endif
c        if(abs(dx).lt.xacc) return
c        call funcd(utroot,f,df)
c        if(f.lt.0.) then
c          xl=utroot
c        else
c          xh=utroot
c        endif
c11    continue
c      call utmsg('utroot')
c      write(ifch,*)'*****  exceeding maximum iterations'
c      write(ifch,*)'dx:',dx
c      call utmsgf
c      return
c      END
c
c-----------------------------------------------------------------------
      subroutine utrot2(isig,ax,ay,az,x,y,z)
c-----------------------------------------------------------------------
c     performs a rotation, double prec.
c-----------------------------------------------------------------------
      include 'epos.inc'
      double precision ax,ay,az,x,y,z,rx,ry,rz
     *,alp,bet,cosa,sina,cosb,sinb,xs,ys,zs
         if(ax**2.eq.0.and.ay**2.eq.0.and.az**2.eq.0.)then
      write(ifch,*)'ax**2,ay**2,az**2:',ax**2,ay**2,az**2
      write(ifch,*)'ax,ay,az:',ax,ay,az
      call utstop('utrot2: zero vector.&')
         endif
         if(az.ge.0.)then
      rx=ax
      ry=ay
      rz=az
         else
      rx=-ax
      ry=-ay
      rz=-az
         endif
      if(rz**2+ry**2.ne.0.)then
      alp=dabs(dacos(rz/dsqrt(rz**2+ry**2)))*sign(1.,sngl(ry))
      bet=
     *dabs(dacos(dsqrt(rz**2+ry**2)/dsqrt(rz**2+ry**2+rx**2)))*
     *sign(1.,sngl(rx))
      else
      alp=3.1415927d0/2d0
      bet=3.1415927d0/2d0
      endif
      cosa=dcos(alp)
      sina=dsin(alp)
      cosb=dcos(bet)
      sinb=dsin(bet)
           if(isig.ge.0)then
      xs=x*cosb-y*sina*sinb-z*cosa*sinb
      ys=       y*cosa     -z*sina
      zs=x*sinb+y*sina*cosb+z*cosa*cosb
           else     !if(isig.lt.0)then
      xs= x*cosb            +z*sinb
      ys=-x*sinb*sina+y*cosa+z*cosb*sina
      zs=-x*sinb*cosa-y*sina+z*cosb*cosa
           endif
      x=xs
      y=ys
      z=zs
      return
      end


c-----------------------------------------------------------------------
      subroutine utrot4(isig,ax,ay,az,x,y,z)
c-----------------------------------------------------------------------
c     performs a rotation, double prec.
c     arguments partly single
c-----------------------------------------------------------------------
      double precision ax,ay,az,xx,yy,zz
      xx=dble(x)
      yy=dble(y)
      zz=dble(z)
      call utrot2(isig,ax,ay,az,xx,yy,zz)
      x=sngl(xx)
      y=sngl(yy)
      z=sngl(zz)
      return
      end

c-----------------------------------------------------------------------
      subroutine utrota(isig,ax,ay,az,x,y,z)
c-----------------------------------------------------------------------
c     performs a rotation
c-----------------------------------------------------------------------
         if(az.ge.0.)then
      rx=ax
      ry=ay
      rz=az
         else
      rx=-ax
      ry=-ay
      rz=-az
         endif
      if(rz.eq.0..and.ry.eq.0.)then
        alp=0.
        stop
      else
        alp=abs(utacos(rz/sqrt(rz**2+ry**2)))*sign(1.,ry)
      endif
      bet=
     *abs(utacos(sqrt(rz**2+ry**2)/sqrt(rz**2+ry**2+rx**2)))*sign(1.,rx)
      cosa=cos(alp)
      sina=sin(alp)
      cosb=cos(bet)
      sinb=sin(bet)
           if(isig.ge.0)then
      xs=x*cosb-y*sina*sinb-z*cosa*sinb
      ys=       y*cosa     -z*sina
      zs=x*sinb+y*sina*cosb+z*cosa*cosb
           else        !if(isig.lt.0)then
      xs= x*cosb            +z*sinb
      ys=-x*sinb*sina+y*cosa+z*cosb*sina
      zs=-x*sinb*cosa-y*sina+z*cosb*cosa
           endif
      x=xs
      y=ys
      z=zs
      return
      end

c-----------------------------------------------------------------------
      subroutine utstop(text)
c-----------------------------------------------------------------------
c  returns error message and stops execution.
c  text is an optonal text to appear in the error message.
c  text is a character string of length 40;
c     for shorter text, it has to be terminated by &;
c        example: call utstop('error in subr xyz&')
c-----------------------------------------------------------------------
      include 'epos.inc'
c      parameter(itext=40)
      character  text*(*)  ,txt*6
      imax=index(text,'&')
      do 1 j=1,2
      if(j.eq.1)then
        ifi=ifch
      else        !if(j.eq.2)
        ifi=ifmt
      endif
      if(imax.gt.1)then
      write(ifi,101)('*',k=1,72),text(1:imax-1)
     *,nrevt+1,nint(seedj),seedc,('*',k=1,72)
      else
      write(ifi,101)('*',k=1,72),' '
     *,nrevt+1,nint(seedj),seedc,('*',k=1,72)
      endif
101   format(
     *1x,72a1
     */1x,'***** stop in ',a
     */1x,'***** current event number: ',i12
     */1x,'***** initial seed for current run:',i10
     */1x,'***** initial seed for current event:',d25.15
     */1x,72a1)
1     continue
c      c=0.
c      b=a/c
      stop
      entry utmsg(txt)
      imsg=imsg+1
      write(ifch,'(1x,74a1)')('*',j=1,72)
      write(ifch,100)txt,nrevt+1,nint(seedj),seedc
100   format(1x,'***** msg from ',a6,'.   es:',i7,2x,i9,2x,d23.17)
      return
      entry utmsgf
      if(ish.eq.1)return
      write(ifch,'(1x,74a1)')('*',j=1,72)
      end

c-----------------------------------------------------------------
      subroutine uttrap(func,a,b,s)
c-----------------------------------------------------------------
c trapezoidal method for integration.
c input: fctn func and limits a,b
c output: value s of the integral
c-----------------------------------------------------------------
      include 'epos.inc'

      INTEGER JMAX
      REAL a,b,func,s
      EXTERNAL func
      PARAMETER (JMAX=10)
CU    USES uttras
      INTEGER j
      REAL olds
      olds=-1.e30
      do 11 j=1,JMAX
        if(ish.ge.9)write(ifch,*)'sr uttrap:   j:',j
        call uttras(func,a,b,s,j)
        ds=abs(s-olds)
        if (ds.lt.epsr*abs(olds)) return
        olds=s
11    continue

c-c   nepsr=nepsr+1
      if(ish.ge.9)then
      call utmsg('uttrap')
      write(ifch,*)
     *'*****  requested accuracy could not be achieved'
      write(ifch,*)'achieved accuracy: ',ds/abs(olds)
      write(ifch,*)'requested accuracy:',epsr
      call utmsgf
      endif

      END

c-----------------------------------------------------------------
      subroutine uttraq(func,a,b,s)
c-----------------------------------------------------------------
c trapezoidal method for integration.
c input: function func and limits a,b
c output: value s of the integral
c-----------------------------------------------------------------

      REAL a,b,func,s
      EXTERNAL func
      PARAMETER (eps=1.e-6)
CU    USES uttras
      INTEGER j
      REAL olds
      olds=-1.e30
      j=1
10      call uttras(func,a,b,s,j)
        ds=abs(s-olds)
        if (ds.le.eps*abs(olds)) return
        olds=s
        if(j.ge.15)return
        j=j+1
      goto10
      END

c-----------------------------------------------------------------
      subroutine uttras(func,a,b,s,n)
c-----------------------------------------------------------------
c performs one iteration of the trapezoidal method for integration
c-----------------------------------------------------------------
      INTEGER n
      REAL a,b,s,func
      EXTERNAL func
      INTEGER it,j
      REAL del,sum,tnm,x
      if (n.eq.1) then
        s=0.5*(b-a)*(func(a)+func(b))
      else
        it=2**(n-2)
        tnm=it
        del=(b-a)/tnm
        x=a+0.5*del
        sum=0.
        do 11 j=1,it
          sum=sum+func(x)
          x=x+del
11      continue
        s=0.5*(s+(b-a)*sum/tnm)
      endif
      return
      END

cc-----------------------------------------------------------------------
c      subroutine utvec1(a,b,c)
cc-----------------------------------------------------------------------
cc  returns vector product c = a x b .
cc-----------------------------------------------------------------------
c      real a(3),b(3),c(3)
c      c(1)=a(2)*b(3)-a(3)*b(2)
c      c(2)=a(3)*b(1)-a(1)*b(3)
c      c(3)=a(1)*b(2)-a(2)*b(1)
c      return
c      end
c
c-----------------------------------------------------------------------
      subroutine utvec2(a,b,c)
c-----------------------------------------------------------------------
c  returns vector product c = a x b .
c  a,b,c double precision.
c-----------------------------------------------------------------------
      double precision a(3),b(3),c(3)
      c(1)=a(2)*b(3)-a(3)*b(2)
      c(2)=a(3)*b(1)-a(1)*b(3)
      c(3)=a(1)*b(2)-a(2)*b(1)
      return
      end

c-------------------------------------------------------------------
      subroutine utword(line,i,j,iqu)
c-------------------------------------------------------------------
c  finds the first word of the character string line(j+1:1000).
c  the word is line(i:j) (with new i and j).
c  if j<0 or if no word found --> new line read.
c  a text between quotes "..." is considered one word;
c  stronger: a text between double quotes ""..."" is consid one word
c  stronger: a text between "{ and }" is considered one word
c-------------------------------------------------------------------
c  input:
c    line: character string (*1000)
c    i: integer between 1 and 1000
c    iqu: for iqu=1 a "?" is written to output before reading a line,
c         otherwise (iqu/=1) nothing is typed
c  output:
c    i,j: left and right end of word (word=line(i:j))
c-------------------------------------------------------------------
      include 'epos.inc'
      parameter(mempty=2)
      character*1 empty(mempty),mk
      character line*1000
      character*2 mrk
      data empty/' ',','/
      parameter(mxdefine=40)
      character w1define*100,w2define*100
      common/cdefine/ndefine,l1define(mxdefine),l2define(mxdefine)
     &               ,w1define(mxdefine),w2define(mxdefine)

      j0=0
      if(j.ge.0)then
      i=j
      goto 1
      endif

    5 continue
      if(iqu.eq.1.and.iprmpt.gt.0)write(ifmt,'(a)')'?'
      if(nopen.eq.0)then
        ifopx=ifop
      elseif(nopen.gt.0)then
        ifopx=20+nopen
      else !if(nopen.lt.0)
        ifopx=ifcp
      endif
      read(ifopx,'(a1000)',end=9999)line
      if(iecho.eq.1.or.(nopen.ge.0.and.kcpopen.eq.1))then
       kmax=2
       do k=3,1000
       if(line(k:k).ne.' ')kmax=k
       enddo
      else
        kmax=0
      endif
      if(nopen.ge.0.and.kcpopen.eq.1)
     &  write(ifcp,'(a)')line(1:kmax)
      if(iecho.eq.1)
     &  write(ifmt,'(a)')line(1:kmax)
      i=0

    1 i=i+1
      if(i.gt.1000)goto 5
      if(line(i:i).eq.'!')goto 5
      do ne=1,mempty
      if(line(i:i).eq.empty(ne))goto 1
      enddo

      nbla=1
      mrk='  '
      mk=' '
      if(line(i:i).eq.'~')mk='~'
      if(line(i:i+1).eq.'"{')mrk='}"'
      if(line(i:i+1).eq.'""')mrk='""'
      if(mrk.ne.'  ')goto 10
      if(line(i:i).eq.'"')mk='"'
      if(mk.ne.' ')goto 8
      j=i-1
    6 j=j+1
      if(j.gt.1000)goto 7
      if(line(j:j).eq.'!')goto 7
      do ne=1,mempty
      if(line(j:j).eq.empty(ne))goto 7
      enddo
      goto 6

    8 continue
      if(i.ge.1000-1)stop'utword: make line shorter!!!         '
      i=i+1
      j=i
      if(line(j:j).eq.mk)stop'utword: empty string!!!           '
    9 j=j+1
      if(j.gt.1000)then                 !reach the end of the line
        j=j-nbla+2
        goto 7
      endif
      if(line(j:j).eq.' ')then
        nbla=nbla+1
      else
        nbla=2
      endif
      if(line(j:j).eq.mk)then
      line(i-1:i-1)=' '
      line(j:j)=' '
      goto 7
      endif
      goto 9

   10 continue
      if(i.ge.1000-3)stop'utword: make line shorter!!!!          '
      i=i+2
      j=i
      if(line(j:j+1).eq.mrk)stop'utword: empty string!!!!        '
   11 j=j+1
      if(j.gt.1000-1)then                 !reach the end of the line
        j=j-nbla+2
        goto 7
      endif
      if(line(j:j+1).eq.mrk)then
      line(i-2:i-1)='  '
      line(j:j+1)='  '
      goto 7
      endif
      if(line(j:j).eq.' ')then
        nbla=nbla+1
      else
        nbla=2
      endif
      goto 11

    7 j=j-1
      !--------#define---------------
      if(ndefine.gt.0)then
        do ndf=1,ndefine
          l1=l1define(ndf)
          l2=l2define(ndf)
          do i0=i,j+1-l1
            if(line(i0:i0-1+l1).eq.w1define(ndf)(1:l1))then
              if(l2.eq.l1)then
                line(i0:i0-1+l1)=w2define(ndf)(1:l2)
              elseif(l2.lt.l1)then
                line(i0:i0+l2-1)=w2define(ndf)(1:l2)
                do k=i0+l2,i0-1+l1
                  line(k:k)=' '
                enddo
              elseif(l2.gt.l1)then
                do k=i0+l1,i0+l2-1
                  if(line(k:k).ne.' ')
     &        stop'utword: no space for `define` replacement.   '
                enddo
                line(i0:i0+l2-1)=w2define(ndf)(1:l2)
                j=i0+l2-1
              endif
            endif
          enddo
        enddo
       do k=i,j
         if(line(k:k).ne.' ')j0=j
       enddo
       j=j0
      endif
      !--------
      return

9999  close(ifopx)
      nopen=nopen-1
      if(nopen.eq.0.and.iprmpt.eq.-1)iprmpt=1
      goto 5
      end

c--------------------------------------------------------------------
      subroutine utworn(line,j,ne)
c--------------------------------------------------------------------
c  returns number ne of nonempty characters of line(j+1:1000)
c--------------------------------------------------------------------
      character line*1000
      ne=0
      do l=j+1,1000
      if(line(l:l).ne.' ')ne=ne+1
      enddo
      return
      end

c-----------------------------------------------------------------------
      subroutine getairmol(iz,ia)
c-----------------------------------------------------------------------
      include 'epos.inc'
      i=0
      r=rangen()
      do while(r.gt.0.)  ! choose air-molecule
        i=i+1
        r=r-airwnxs(i)
      enddo
      iz = nint(airznxs(i))
      ia = nint(airanxs(i))
      end

c----------------------------------------------------------------------

      subroutine factoriel

c----------------------------------------------------------------------
c tabulation of fctrl(n)=n!, facto(n)=1/n! and utgamtab(x) for x=0 to 50
c----------------------------------------------------------------------
      include 'epos.incems'
      double precision utgamtab,utgam,x
      common/gamtab/utgamtab(10000)

      nfctrl=100
      fctrl(0)=1.D0
      facto(0)=1.D0
      do i=1,min(npommx,nfctrl)
        fctrl(i)=fctrl(i-1)*dble(i)
        facto(i)=1.d0/fctrl(i)
      enddo

      do k=1,10000
        x=dble(k)/100.d0
        utgamtab(k)=utgam(x)
      enddo

      return
      end

c-----------------------------------------------------------------------
      subroutine fremnu(amin,ca,cb,ca0,cb0,ic1,ic2,ic3,ic4)
c-----------------------------------------------------------------------
      common/hadr2/iomodl,idproj,idtarg,wexcit
      real pnll,ptq
      common/hadr1/pnll,ptq,exmass,cutmss,wproj,wtarg
      parameter (nflav=6)
      integer ic(2),jc(nflav,2)
      ic(1)=ca
      ic(2)=cb
      call iddeco(ic,jc)
      keu=jc(1,1)-jc(1,2)
      ked=jc(2,1)-jc(2,2)
      kes=jc(3,1)-jc(3,2)
      kec=jc(4,1)-jc(4,2)
      keb=jc(5,1)-jc(5,2)
      ket=jc(6,1)-jc(6,2)
      amin=utamnu(keu,ked,kes,kec,keb,ket,5)  !???4=2mults, 5=1mult
        if(ca-ca0.eq.0..and.cb-cb0.eq.0..and.rangen().gt.wexcit)then
      ic3=0
      ic4=0
      ic1=ca
      ic2=cb
       else
      amin=amin+exmass
      n=0
      do i=1,4
      do j=1,2
      n=n+jc(i,j)
      enddo
      enddo
      k=1+rangen()*n
      do i=1,4
      do j=1,2
      k=k-jc(i,j)
      if(k.le.0)goto 1
      enddo
      enddo
1     if(j.eq.1)then
      ic3=10**(6-i)
      ic4=0
      else
      ic3=0
      ic4=10**(6-i)
      endif
      ic1=int(ca)-ic3
      ic2=int(cb)-ic4
        endif
      return
      end


c-----------------------------------------------------------------------
      function fremnux(jc)
c-----------------------------------------------------------------------
      real pnll,ptq
      common/hadr1/pnll,ptq,exmass,cutmss,wproj,wtarg
      parameter (nflav=6)
      integer jc(nflav,2)!,ic(2)
c      ic(1)=210000
c      ic(2)=0
c      call iddeco(ic,jc)
      keu=jc(1,1)-jc(1,2)
      ked=jc(2,1)-jc(2,2)
      kes=jc(3,1)-jc(3,2)
      kec=jc(4,1)-jc(4,2)
      keb=jc(5,1)-jc(5,2)
      ket=jc(6,1)-jc(6,2)
      fremnux=utamnu(keu,ked,kes,kec,keb,ket,4) !+exmass  !???4=2mults, 5=1mult
      return
      end

c-----------------------------------------------------------------------
      function fremnux2(jc)
c-----------------------------------------------------------------------
      real pnll,ptq
      common/hadr1/pnll,ptq,exmass,cutmss,wproj,wtarg
      parameter (nflav=6)
      integer jc(nflav,2)!,ic(2)
c      ic(1)=210000
c      ic(2)=0
c      call iddeco(ic,jc)
      keu=jc(1,1)-jc(1,2)
      ked=jc(2,1)-jc(2,2)
      kes=jc(3,1)-jc(3,2)
      kec=jc(4,1)-jc(4,2)
      keb=jc(5,1)-jc(5,2)
      ket=jc(6,1)-jc(6,2)
      fremnux2=utamnu(keu,ked,kes,kec,keb,ket,5) !+exmass  !???4=2mults, 5=1mult
      return
      end

c-----------------------------------------------------------------------
      function fremnux3(jci)
c-----------------------------------------------------------------------
c minimum mass from ic counting all quarks
c-----------------------------------------------------------------------
      include 'epos.inc'
      integer jc(nflav,2),jci(nflav,2)!,ic(2)
c      ic(1)=210000
c      ic(2)=0
c      print *,'start',ic
      fremnux3=0.
      do j=1,2
        do i=1,nflav
          jc(i,j)=jci(i,j)
        enddo
      enddo
c      call iddeco(ic,jc)
      call idquacjc(jc,nqua,naqu)
        do ii=1,2
      if(ii.eq.1)then
        nqu=nqua
      else
        nqu=naqu
      endif
      if(nqu.ge.3)then
        do while(jc(3,ii).ne.0.and.nqu.ge.3)  !count baryons with s quark
          jc(3,ii)=jc(3,ii)-1
          if(jc(3,ii).gt.0)then
            jc(3,ii)=jc(3,ii)-1
            if(jc(3,ii).gt.0)then
              jc(3,ii)=jc(3,ii)-1
              fremnux3=fremnux3+asuhax(4)
            elseif(jc(2,ii).gt.0)then
              jc(2,ii)=jc(2,ii)-1
              fremnux3=fremnux3+asuhax(4)
            elseif(jc(1,ii).gt.0)then
              jc(1,ii)=jc(1,ii)-1
              fremnux3=fremnux3+asuhax(4)
            endif
          elseif(jc(2,ii).gt.0)then
            jc(2,ii)=jc(2,ii)-1
            if(jc(1,ii).gt.0)then
              jc(1,ii)=jc(1,ii)-1
              fremnux3=fremnux3+asuhax(3)
            elseif(jc(2,ii).gt.0)then
              jc(2,ii)=jc(2,ii)-1
              fremnux3=fremnux3+asuhax(3)
            endif
          elseif(jc(1,ii).gt.0)then
            jc(1,ii)=jc(1,ii)-2
            fremnux3=fremnux3+asuhay(3)
          endif
          nqu=nqu-3
        enddo
        do while(jc(2,ii).ne.0.and.nqu.ge.3)  !count baryons with d quark
          jc(2,ii)=jc(2,ii)-1
          if(jc(1,ii).gt.0)then
            jc(1,ii)=jc(1,ii)-1
            if(jc(2,ii).gt.0)then
              jc(2,ii)=jc(2,ii)-1
              fremnux3=fremnux3+asuhay(2)
            elseif(jc(1,ii).gt.0)then
              jc(1,ii)=jc(1,ii)-1
              fremnux3=fremnux3+asuhay(2)
            endif
          elseif(jc(2,ii).gt.0)then
            jc(2,ii)=jc(2,ii)-2
            fremnux3=fremnux3+asuhay(3)
          endif
          nqu=nqu-3
        enddo
        do while(jc(1,ii).ne.0.and.nqu.ge.3)  !count baryons with s quark
          jc(1,ii)=jc(1,ii)-3
          fremnux3=fremnux3+asuhay(3)
          nqu=nqu-3
        enddo
        if(ii.eq.1)then
          nqua=nqu
        else
          naqu=nqu
        endif
      endif
c      print *,ii,nqua,naqu,jc,fremnux3
      enddo
      if(nqua+naqu.ne.0)then
      do while(jc(3,1).ne.0)    !count mesons with s quark
        jc(3,1)=jc(3,1)-1
        if(jc(3,2).gt.0)then
          jc(3,2)=jc(3,2)-1
          fremnux3=fremnux3+asuhax(6)
        elseif(jc(2,2).gt.0)then
          jc(2,2)=jc(2,2)-1
          fremnux3=fremnux3+asuhay(6)
        elseif(jc(1,2).gt.0)then
          jc(1,2)=jc(1,2)-1
          fremnux3=fremnux3+asuhay(6)
        endif
      enddo
      do while(jc(2,1).ne.0)    !count mesons with d quark
        jc(2,1)=jc(2,1)-1
        if(jc(2,2).gt.0)then
          jc(2,2)=jc(2,2)-1
          fremnux3=fremnux3+asuhay(5)
        elseif(jc(1,2).gt.0)then
          jc(1,2)=jc(1,2)-1
          fremnux3=fremnux3+asuhay(5)
        endif
      enddo
      do while(jc(1,1).ne.0)    !count mesons with s quark
        jc(1,1)=jc(1,1)-1
        if(jc(1,2).gt.0)then
          jc(1,2)=jc(1,2)-1
          fremnux3=fremnux3+asuhay(5)
        endif
      enddo
      endif
c      fremnux3=fremnux3+0.5
c      print *,'stop',nqua,naqu,fremnux3

      return
      end

c-----------------------------------------------------------------------
      subroutine fremnx(ammax,amin,sm,ic3,ic4,iret)
c-----------------------------------------------------------------------
      common/psar9/ alpr
      include 'epos.inc'
      iret=0
      if(ic3.eq.0.and.ic4.eq.0)then
        if(ammax.lt.amin**2)then
          iret=1
          return
        endif
        sm=amin**2
      else
c       ammax1=min(ammax,(engy/4.)**2)
        ammax1=ammax
        if(ammax1.lt.amin**2)then
          iret=1
          return
        endif
        if(alpr.eq.-1.)then
          sm=amin**2*(ammax1/amin**2)**rangen()
        else
          sm=amin**2*(1.+((ammax1/amin**2)**(1.+alpr)-1.)
     *    *rangen())**(1./(1.+alpr))
        endif
      endif
      return
      end

      SUBROUTINE gaulag(x,w,n,alf)
      INTEGER n,MAXIT
      REAL alf,w(n),x(n)
      DOUBLE PRECISION EPS
      PARAMETER (EPS=3.D-14,MAXIT=10)
CU    USES gammln
      INTEGER i,its,j
      REAL ai,gammln
      DOUBLE PRECISION p1,p2,p3,pp,z,z1
      z=0.
      do 13 i=1,n
        if(i.eq.1)then
          z=(1.+alf)*(3.+.92*alf)/(1.+2.4*n+1.8*alf)
        else if(i.eq.2)then
          z=z+(15.+6.25*alf)/(1.+.9*alf+2.5*n)
        else
          ai=i-2
          z=z+((1.+2.55*ai)/(1.9*ai)+1.26*ai*alf/(1.+3.5*ai))*
     *(z-x(i-2))/(1.+.3*alf)
        endif
        do 12 its=1,MAXIT
          p1=1.d0
          p2=0.d0
          do 11 j=1,n
            p3=p2
            p2=p1
            p1=((2*j-1+alf-z)*p2-(j-1+alf)*p3)/j
11        continue
          pp=(n*p1-(n+alf)*p2)/z
          z1=z
          z=z1-p1/pp
          if(abs(z-z1).le.EPS)goto 1
12      continue
        call utstop("too many iterations in gaulag")
1       x(i)=z
        w(i)=-exp(gammln(alf+n)-gammln(float(n)))/(pp*n*p2)
13    continue
      return
      END
C  (C) Copr. 1986-92 Numerical Recipes Software 4+1$!].

      FUNCTION gammln(xx)
      REAL gammln,xx
      INTEGER j
      DOUBLE PRECISION ser,stp,tmp,x,y,cof(6)
      SAVE cof,stp
      DATA cof,stp/76.18009172947146d0,-86.50532032941677d0,
     *24.01409824083091d0,-1.231739572450155d0,.1208650973866179d-2,
     *-.5395239384953d-5,2.5066282746310005d0/
      x=xx
      y=x
      tmp=x+5.5d0
      tmp=(x+0.5d0)*log(tmp)-tmp
      ser=1.000000000190015d0
      do 11 j=1,6
        y=y+1.d0
        ser=ser+cof(j)/y
11    continue
      gammln=tmp+log(stp*ser/x)
      return
      END
C  (C) Copr. 1986-92 Numerical Recipes Software 4+1$!].

      function polar(x,y)

      pi=3.1415927
      if(abs(x).gt.1.e-6)then
        phi=atan(y/x)
        if(x.lt.0.)phi=pi+phi
        if(phi.lt.0)phi=2*pi+phi
      else
        phi=0.5*pi
        if(y.lt.0)phi=phi+pi
      endif
      polar=phi

      end

      subroutine getJKNcentr
      end