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c-----------------------------------------------------------------------
c activate making inicon table by the follwing commands in optns file:
c-----------------------------------------------------------------------
c set nevent 1
c set bminim 3 (for example)
c set bmaxim 5 (for example)
c set ninicon 1000 (for example)
c set icocore 1 !or 2
c make icotable
c switch splitting on
c switch fusion on
c switch clusterdecay off
c-----------------------------------------------------------------------
c inicon table means storage of IcoE, IcoV, IcoF
c IcoE ... energy density in the comoving frame
c IcoV ... flow velocity in hyperbolic coordinates
c v=(vx,vy,veta=vz/tau)
c with the velocity in the frame moving with rapidity eta
c IcoV ... net flavor density in the comoving frame
c the indices of these fields ix,iy,iz also refer to hyperbolic coordinates
c (x,y,eta) at given tau
c the corresponding grid is defined in epos.incico
c-----------------------------------------------------------------------
c-----------------------------------------------------------------------
subroutine IniCon(nin)
c-----------------------------------------------------------------------
include 'epos.inc'
include 'epos.incico'
double precision seedf
character*80 fn
logical table
ii=index(fnhi(1:nfnhi),".histo")-1
fn=fnhi(1:ii)//".ico"
inquire(file=fn(1:ii+4),exist=table)
if(icotabr.eq.1)then !read from file
if(.not.table)then
write(ifmt,'(//10x,3a//)')'STOP: file '
* ,fn(1:ii+4),' not found !!!'
stop
endif
write(ifmt,'(3a)')'read from ',fn(1:ii+4),' ...'
open(97,file=fn,status='old')
read(97,*) iversn
read(97,*) laprojx,maprojx,latargx,matargx
read(97,*) engyx
read(97,*) bminimx,bmaximx
read(97,*) tauicox
read(97,*) iabs_ninicon_dum
read(97,*) nxicox,nyicox,nzicox
read(97,*)xminicox,xmaxicox,yminicox,ymaxicox,zminicox,zmaxicox
if(laprojx.ne.laproj.or.maprojx.ne.maproj
* .or.latargx.ne.latarg.or.matargx.ne.matarg)stop'(1)'
if(engyx.ne.engy) stop'variables dont match (2) '
if(bminimx.ne.bminim.or.bmaximx.ne.bmaxim)
* stop'variables dont match (3) '
if(tauicox.ne.tauico)stop'variables dont match (4) '
if(nxicox.ne.nxico.or.nyicox.ne.nyico
* .or.nzicox.ne.nzico)stop'(5)'
if( xminicox.ne.xminico.or.xmaxicox.ne.xmaxico
* .or.yminicox.ne.yminico.or.ymaxicox.ne.ymaxico
* .or.zminicox.ne.zminico.or.zmaxicox.ne.zmaxico)stop'(6)'
read(97,*) IcoE,IcoV,IcoF
close(97)
elseif(icotabr.eq.0)then ! calculate
!if(icotabm.eq.1.and.table)then
!write(ifmt,'(//10x,3a//)')'STOP: file '
!* ,fn(1:ii+4),' already exists !!!'
!stop
!endif
if(nin.eq.1)then
write(ifmt,'(2a,i7,a)')' calculate inicon table ',
& 'based on',iabs(ninicon),' ico-events ...'
call IcoStr(1)
endif
call ranfgt(seedf)
if(nin.le.iabs(ninicon).and.mod(nin,modsho).eq.0)
& write(ifmt,'(a,i7,a,f6.2,a,d27.16)')' ico-event ',nin
& ,' bimevt:',bimevt,' seedf:',seedf
if(nin.le.iabs(ninicon).and.jwseed.eq.1)then
open(unit=1,file=fnch(1:nfnch-5)//'see',status='unknown')
write(1,'(a,i7,a,f6.2,a,d27.16)')' ico-event ',nin
& ,' bimevt:',bimevt,' seedf:',seedf
close(1)
endif
!if(nin.le.iabs(ninicon).and.mod(nin,modsho).eq.0)
!& print*,'+++++ time: ',timefin-timeini
seedc=seedf
call IcoStr(2)
if(nin.eq.iabs(ninicon))then
write(ifmt,*)'normalize and diagonalize engy-mom tensor'
call IcoStr(3)
if(icotabm.eq.1)then ! make table
write(ifmt,'(2a)')' write inicon table into ',fn(1:ii+4)
open(97,file=fn,status='unknown')
write(97,*) iversn
write(97,*) laproj,maproj,latarg,matarg
write(97,*) engy
write(97,*) bminim,bmaxim
write(97,*) tauico
write(97,*) iabs(ninicon)
write(97,*) nxico,nyico,nzico
write(97,*) xminico,xmaxico,yminico,ymaxico,zminico,zmaxico
write(97,*) IcoE,IcoV,IcoF
close(97)
endif
endif
else
stop'IniCon: wrong choice'
endif
end
c-----------------------------------------------------------------------
subroutine IcoStr(iflag)
c-----------------------------------------------------------------------
c energy momentum tensor and flavor current
c and corresponding contractions from string method
c
c iflag = 1 initialization
c = 2 sum up density
c = 3 normalization
c
c output: common blocks /Ico3/ /Ico4/ /Ico5/
c-----------------------------------------------------------------------
include 'epos.inc'
include 'epos.incico'
double precision IcoT(4,4,nxico,nyico,nzico)
* ,IcoC(3,4,nxico,nyico,nzico)
common/cxyzt/xptl(mxptl),yptl(mxptl),zptl(mxptl),tptl(mxptl)
*,optl(mxptl),uptl(mxptl),sptl(mxptl),rptl(mxptl,3)
common /Ico10/ntot,ish0,irs
double precision p(4),v(4),u(4),eps,T(4,4),gamma,rap,rapx
integer ic(2),jc(nflav,2)
common/cranphi/ranphi
logical ok
goto (1,10,100),iflag
return
c......................................................................
c initialization
c......................................................................
1 do ix=1,nxico
do iy=1,nyico
do iz=1,nzico
IcoE(ix,iy,iz)=0.
do i=1,3
IcoV(i,ix,iy,iz)=0.
enddo
do i=1,3
IcoF(i,ix,iy,iz)=0.
enddo
do i=1,4
do j=1,4
IcoT(i,j,ix,iy,iz)=0.
enddo
enddo
do i=1,3
do j=1,4
IcoC(i,j,ix,iy,iz)=0.
enddo
enddo
enddo
enddo
enddo
ntot=0
return
c......................................................................
c fill arrays
c......................................................................
10 ntot=ntot+1
dxico=(xmaxico-xminico)/nxico
dyico=(ymaxico-yminico)/nyico
dzico=(zmaxico-zminico )/nzico
phinll=phievt+ranphi
do j=1,nptl
ok=.true.
if(icocore.eq.2
. .and.(ityptl(j).lt.20.or.ityptl(j).ge.40))ok=.false.
if(ok
. .and.dezptl(j).lt.1e3.and.j.le.maxfra.and.istptl(j).eq.2)then
aa=cos(phinll)
bb=sin(phinll)
x=xptl(j)*aa+yptl(j)*bb
cc=-sin(phinll)
dd=cos(phinll)
y=xptl(j)*cc+yptl(j)*dd
z=dezptl(j)
ix=1+(x-xminico)/dxico
iy=1+(y-yminico)/dyico
iz=1+(z-zminico)/dzico
if(ix.ge.1.and.ix.le.nxico.and.
. iy.ge.1.and.iy.le.nyico.and.
. iz.ge.1.and.iz.le.nzico)then
!~~~~~~~~~~~~
! T^i^k = \int d3p p^i p^k /E f(\vec x,\vec p)
! N^k = \int d3p p^k /E f_net(\vec x,\vec p)
!~~~~~~~~~~~~
rapx=zminico+(iz-0.5)*dzico
amt2=pptl(5,j)**2+pptl(1,j)**2+pptl(2,j)**2
pp=pptl(4,j)+abs(pptl(3,j))
if(amt2.gt.0..and.pp.gt.0.)then
amt=sqrt(amt2)
rap=sign(1.,pptl(3,j))*alog(pp/amt)
p(1)=pptl(1,j)
p(2)=pptl(2,j)
p(3)=amt*sinh(rap-rapx)
p(4)=amt*cosh(rap-rapx)
do i=1,4
do k=1,4
IcoT(i,k,ix,iy,iz)=IcoT(i,k,ix,iy,iz)+p(i)*p(k)/p(4)
enddo
enddo
id=idptl(j)
ida=iabs(id/10)
ids=id/iabs(id)
if(ida.ne.111.and.ida.ne.222.and.ida.ne.333)id=id/10*10
if(ida.eq.111.or. ida.eq.222.or. ida.eq.333)id=id/10*10+ids
if(ida.eq.213)id=1230*ids
ic(1)=idtrai(1,id,1)
ic(2)=idtrai(2,id,1)
call iddeco(ic,jc)
do i=1,3
fi=jc(i,1)-jc(i,2)
do k=1,4
IcoC(i,k,ix,iy,iz)=IcoC(i,k,ix,iy,iz)+p(k)/p(4)*fi
enddo
enddo
endif
!~~~~~~~~~~~~
endif
endif
enddo
return
c............................................................................
c normalization and diagonalization
c............................................................................
100 continue
!~~~normalize
vol= (xmaxico-xminico)/nxico
. *(ymaxico-yminico)/nyico
. *(zmaxico-zminico)/nzico *tauico
fac=1./ntot/vol
do ix=1,nxico
do iy=1,nyico
do iz=1,nzico
do i=1,4
do k=1,4
IcoT(i,k,ix,iy,iz)=IcoT(i,k,ix,iy,iz)*fac
enddo
enddo
do i=1,3
do k=1,4
IcoC(i,k,ix,iy,iz)=IcoC(i,k,ix,iy,iz)*fac
enddo
enddo
enddo
enddo
enddo
!~~~diagonalize T
do ix=1,nxico
do iy=1,nyico
do iz=1,nzico
do i=1,4
do k=1,4
T(i,k)=IcoT(i,k,ix,iy,iz)
enddo
enddo
call DiagTmunu(T,u,v,gamma,eps,nonz,ix,iy,iz)
if(nonz.eq.1)then
IcoE(ix,iy,iz)=eps
IcoV(1,ix,iy,iz)=v(1)
IcoV(2,ix,iy,iz)=v(2)
!rapx=zminico+(iz-0.5)*dzico
!rap=rapx+log(gamma*(1+v(3)))
!IcoV(3,ix,iy,iz)=tanh(rap)
IcoV(3,ix,iy,iz)=v(3) / tauico
do i=1,3
IcoF(i,ix,iy,iz)=IcoC(i,4,ix,iy,iz)*u(4)
do k=1,3
IcoF(i,ix,iy,iz)=IcoF(i,ix,iy,iz)
. -IcoC(i,k,ix,iy,iz)*u(k)
enddo
enddo
endif
enddo
enddo
enddo
return
end
c------------------------------------------------------------------------------------
subroutine DiagTmunu(Tmunu,u,v,gamma,eps,nonz,ix,iy,iz)
c------------------------------------------------------------------------------------
! solve lambda * T * lambda = diag(eps,P,P,P), for symmetric T
!
! lambda = g g*vx g*vy g*vz =symmetric!
! g*vx a*vx*vx+1 a*vy*vx a*vz*vx
! g*vy a*vx*vy a*vy*vy+1 a*vz*vy
! g*vz a*vx*vz a*vy*vz a*vz*vz+1
! with g=gamma, a=g*g/(g+1)
!
! so T*lambda(v)=lambda(-v)*diag(eps,P,P,P)
! first column: four equations
! eps=T00+T0k*vk
! -eps*vi=Ti0+Tik*vk
! solved iteratively to get eps, vi
! returns u,v,eps if nonz=1 (otherwise zero tensor)
! (by T.Kodama)
! (K. Werner: modifs)
include 'epos.incico'
double precision Tmunu(4,4), u(4),eps,gamma,g,a, Lor(4,4),w(4),sum
double precision v(4),vx(3),tt(4,4),err,sg(4)
sg(4)=1d0
v(4)=1d0
do i=1,3
sg(i)=-1d0
enddo
sum=0d0
do i=1,4
do k=1,4
sum=sum+dabs(Tmunu(i,k))
end do
end do
nonz=0
if(sum.eq.0.0d0)return
nonz=1
do k=1,3
v(k)=0.
end do
eps=0
do lrep=1,100
epsx=eps
do i=1,3
vx(i)=v(i)
end do
eps=Tmunu(4,4)
do k=1,3
eps=eps-Tmunu(4,k)*vx(k)
end do
if(eps.le.0d0)then
print*,'DiagTmunu: sum(abs(Tmunu))=',sum,' eps=',eps
print*,'Tmunu(4,nu):',(Tmunu(4,nu),nu=1,4)
if(eps.gt.-1e-5)then
nonz=0
return
else
print*,'STOP in DiagTmunu: negative energy density. '
stop'(3003200808)'
endif
endif
do i=1,3
Tv=0d0
do k=1,3
Tv=Tv+Tmunu(i,k)*vx(k)
end do
v(i)=(Tmunu(i,4)-Tv)/eps
end do
if(lrep.gt.60)then
do i=1,3
v(i)=0.5d0*(vx(i)+v(i))
enddo
endif
!print*,'Tmunu: ',lrep,abs(eps-epsx),(abs(v(i)-vx(i)),i=1,3)
err=1d-6
if(lrep.gt.50)err=1d-5
if(lrep.gt.89)err=1d-4
if(abs(eps-epsx).lt.err.and.abs(v(1)-vx(1)).lt.err
. .and.abs(v(2)-vx(2)).lt.err.and.abs(v(3)-vx(3)).lt.err)goto1
do i=1,4
w(i)=0
do k=1,4
w(i)=w(i)+Tmunu(i,k)*v(k)*sg(k)
enddo
w(i)=w(i)-eps*v(i)
enddo
if(lrep.gt.95
..and.w(1)*w(1)+w(2)*w(2)+w(3)*w(3)+w(4)*w(4).lt.err)goto1
end do
1 v2=0.d0
do i=1,3
v2=v2+v(i)**2
end do
if(v2.ge.1.)stop'DiagTmunu: v2 ge 1. '
gamma=1./sqrt(abs(1.-v2))
u(4)=gamma
u(1)=v(1)*gamma
u(2)=v(2)*gamma
u(3)=v(3)*gamma
!~~~check
g=gamma
a=g*g/(g+1d0)
Lor(4,4)=g
do k=1,3
Lor(4,k)=-g*v(k)
Lor(k,4)=Lor(4,k)
enddo
do i=1,3
do k=1,3
Lor(i,k)=a*v(i)*v(k)
enddo
enddo
do k=1,3
Lor(k,k)=Lor(k,k)+1
enddo
do i=1,4
do k=1,4
tt(i,k)=0d0
do m=1,4
do n=1,4
tt(i,k)=tt(i,k)+Lor(i,m)*Tmunu(m,n)*Lor(n,k)
enddo
enddo
enddo
enddo
err=err*1d2
if(tt(1,4).gt.err.or.tt(2,4).gt.err.or.tt(3,4).gt.err)then
print*,'************** DiagTmunu: nonzero T14 or T24 or T34'
. ,' after ',lrep,' iterations'
print*,'d_eps or d_v(i): ',abs(eps-epsx),(abs(v(i)-vx(i)),i=1,3)
print*,'Tmunu ( ix=',ix-nxico/2-1,' iy=',iy-nyico/2-1,' ) :'
. ,' iz=',iz-nzico/2-1
do i=1,4
write(*,'(4f10.5,2x,4f10.5)')
. (sngl(tmunu(i,k)),k=1,4),(sngl(tt(i,k)),k=1,4)
enddo
endif
end
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