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#ifdef HAVE_ODEPACK
c===========================================================
c History: sode.f
c
c Driver routine which integrates ODEs defining
c TOV star
c
c Based on bstar.f by Matthew Choptuik
c===========================================================
subroutine tov_lsoda ( rho, p, m, alf,
& r, nr, tol , n_succ, ssrc)
implicit none
integer vsrc, vsxynt
real*8 rho2p, p2rho
integer nr
real*8 rho(nr),p(nr), m(nr), alf(nr)
real*8 r(nr)
real*8 tol
integer n_succ, ssrc
character*12 codenm
parameter ( codenm = 'tov_lsoda' )
integer iargc, indlnb, i4arg
real*8 r8arg
real*8 r8_never
parameter ( r8_never = -1.0d-60 )
c-----------------------------------------------------------
c Order of system.
c-----------------------------------------------------------
integer neq
parameter ( neq = 3 )
c-----------------------------------------------------------
c Storage for solution at requested output radii.
c-----------------------------------------------------------
integer maxout
parameter ( maxout = 10 000 )
real*8 y0(neq)
real*8 vxout(maxout), vyout(maxout,neq),
& work(maxout)
integer nxout, ixout, nxout_succ
integer ieq
logical ltrace
parameter ( ltrace = .false. )
integer maxdump
parameter ( maxdump = 50 )
logical lsodatrace
parameter ( lsodatrace = .false. )
c-----------------------------------------------------------
c LSODA Variables.
c-----------------------------------------------------------
external tov_fcn, tov_jac
real*8 y(neq)
real*8 tbgn, tend
integer itol
real*8 rtol, atol
integer itask, istate, iopt
integer lrw
c parameter ( lrw = 22 + neq * max(16 ,neq + 9) )
parameter ( lrw = 22 + neq * (16) )
real*8 rwork(lrw)
integer liw
parameter ( liw = 20 + neq )
integer iwork(liw)
integer jt
integer i
c-----------------------------------------------------------
c Common communication with routine 'tov_fcn' in 'tov_fcn.f' ...
c-----------------------------------------------------------
c rho0: Value of rho at r=0
c-----------------------------------------------------------
real*8 rho0
common / com_tov / rho0
c-----------------------------------------------------------
c Parse arguments.
c-----------------------------------------------------------
rho0 = rho(1)
nxout = nr
do ixout = 1, nxout
vxout(ixout) = r(ixout)
enddo
c-----------------------------------------------------------
c Initialize those "boundary" conditions which are
c fixed by regularity, or which are arbitrary.
c-----------------------------------------------------------
y0(1) = rho2p(rho0)
y0(2) = 0.0d0
y0(3) = 1.0
c-----------------------------------------------------------
c Echo command line arguments if "local tracing"
c enabled ...
c-----------------------------------------------------------
if( ltrace ) then
write(0,*) 'rho0: ', rho0
write(0,*) 'p(1): ', y0(1)
write(0,*) 'm(1): ', y0(2)
write(0,*) 'alf(1): ', y0(3)
end if
c-----------------------------------------------------------
c Get output radii
c-----------------------------------------------------------
if( ltrace ) then
if( nxout .le. maxdump ) then
call dvdump(vxout,nxout,codenm//': output radii',0)
else
call dvdmp1(vxout,work,
& int(1.0d0 * nxout / maxdump + 0.5d0),
& nxout,codenm//': selected output radii',0)
end if
write(0,*)
write(0,*) codenm//': Initial time: ', vxout(1)
write(0,*)
end if
c-----------------------------------------------------------
c Set LSODA parameters ...
c-----------------------------------------------------------
itol = 1
rtol = tol
atol = tol
itask = 1
iopt = 0
jt = 2
c-----------------------------------------------------------
c Initialize the solution ...
c-----------------------------------------------------------
do ieq = 1 , neq
y(ieq) = y0(ieq)
vyout(1,ieq) = y0(ieq)
end do
c-----------------------------------------------------------
c Do the integration ...
c-----------------------------------------------------------
ssrc = 0
do ixout = 2 , nxout
istate = 1
c-----------------------------------------------------------
c Need these temporaries since lsoda overwrites
c tend ...
c-----------------------------------------------------------
100 continue
tbgn = vxout(ixout-1)
tend = vxout(ixout)
call lsoda(tov_fcn,neq,y,tbgn,tend,
& itol,rtol,atol,itask,
& istate,iopt,rwork,lrw,iwork,liw,tov_jac,jt)
if( lsodatrace ) then
write(0,1000) codenm, ixout, vxout(ixout),
& vxout(ixout+1)
1000 format(' ',a,': Step ',i4,' t = ',1pe10.3,
& ' .. ',1pe10.3)
write(0,*) codenm//': lsoda reurns ', istate
end if
c if (istate .eq. -2) then
c write(0,*) 'istate = -2, trying again...'
c itol = 1
c rtol = tol
c atol = tol
c itask = 1
c iopt = 0
c jt = 2
c istate = 3
c goto 100
c endif
if( istate .lt. -1 ) then
write(0,1500) codenm, istate, ixout, nxout,
& vxout(ixout-1), vxout(ixout)
1500 format(/' ',a,': Error return ',i2,
& ' from integrator LSODA.'/
& ' At output time ',i5,' of ',i5/
& ' Interval ',1pe11.3,' .. ',
& 1pe11.3/)
nxout_succ = ixout - 1
ssrc = 1
go to 500
end if
do ieq = 1 , neq
vyout(ixout,ieq) = y(ieq)
end do
end do
nxout_succ = nxout
500 continue
c-----------------------------------------------------------
c OUTPUT
c-----------------------------------------------------------
do ixout = 1 , nxout_succ
p(ixout) = vyout(ixout, 1)
m(ixout) = vyout(ixout, 2)
alf(ixout) = vyout(ixout, 3)
rho(ixout) = p2rho(p(ixout))
end do
n_succ = nxout_succ
return
end
c===========================================================
c Some double precision vector utility routines.
c
c Originally from ~matt/vutil/dveclib.f
c===========================================================
c-----------------------------------------------------------
c Dumps vector labelled with LABEL on UNIT.
c-----------------------------------------------------------
subroutine dvdump(v,n,label,unit)
implicit none
real*8 v(*)
character*(*) label
integer i, n, st, unit
if( n .lt. 1 ) go to 130
write(unit,100) label
100 format(/' <<< ',A,' >>>'/)
st = 1
110 continue
write(unit,120) ( v(i) , i = st , min(st+3,n))
120 FORMAT(' ',4(1PE19.10))
st = st + 4
if( st .le. n ) go to 110
130 continue
return
end
c-----------------------------------------------------------
c Extension of dvdump which dumps every 'inc'th element.
c-----------------------------------------------------------
subroutine dvdmp1(v,w,inc,n,label,unit)
implicit none
real*8 v(*), w(*)
character*(*) label
integer inc, n, unit
call dvinj(v,w,inc,n)
call dvdump(w,1+(n-1)/inc,label,unit)
return
end
c---------------------------------------------------------
c Injects every incth element of v1 into v2
c---------------------------------------------------------
subroutine dvinj(v1,v2,inc,n)
implicit none
real*8 v1(*), v2(*)
integer i, inc, j, n
j = 1
do i = 1 , n , inc
v2(j) = v1(i)
j = j + 1
end do
return
end
#else
subroutine tov_lsoda()
return
end
#endif
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