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subroutine findtemp(lr,lt0,y,epsin,keyerrt,rfeps)
use eosmodule
implicit none
real*8 lr,lt0,y,epsin
real*8 eps,lt,ldt
real*8 tol
real*8 d1,d2,d3
real*8 eps0,eps1,lt1
real*8 ltn,ltmax,ltmin
real*8 tinput,rfeps
integer :: rl = 0
integer itmax,i,keyerrt
integer ii,jj,kk
keyerrt=0
tol=rfeps ! precision to which we need to find temp
itmax=20 ! use at most 20 iterations, then bomb
lt=lt0
lt1=lt
eps0=epsin
eps1=eps0
ltmax=logtemp(ntemp)
ltmin=logtemp(1)
! Note: We are using Ewald's Lagrangian interpolator here!
!preconditioning 1: do we already have the right temperature?
call findthis(lr,lt,y,eps,alltables(:,:,:,2),d1,d2,d3)
if (abs(eps-eps0).lt.tol*abs(eps0)) then
return
endif
lt1=lt
eps1=eps
do i=1,itmax
!d2 is the derivative deps/dlogtemp;
ldt = -(eps - eps0)/d2
ltn = lt+ldt
ltn = min(ltn,ltmax)
ltn = max(ltn,ltmin)
lt1=lt
lt=ltn
eps1=eps
call findthis(lr,lt,y,eps,alltables(:,:,:,2),d1,d2,d3)
if (abs(eps - eps0).lt.tol*abs(eps0)) then
exit
endif
!setup new d2
! if we are closer than 10^-2 to the
! root (eps-eps0)=0, we are switching to
! the secant method, since the table is rather coarse and the
! derivatives may be garbage.
if(abs(eps-eps0).lt.1.0d-3*abs(eps0)) then
d2 = (eps-eps1)/(lt-lt1)
endif
enddo
if(i.ge.itmax) then
keyerrt=667
call bisection(lr,lt0,y,eps0,lt,alltables(:,:,:,2),keyerrt,1)
if(keyerrt.eq.667) then
if(lt.ge.log10(t_max_hack)) then
! handling for too high temperatures
lt = log10(t_max_hack)
keyerrt=0
goto 12
else if(abs(lt-log10(t_max_hack))/log10(t_max_hack).lt.0.025d0) then
lt0 = min(lt,log10(t_max_hack))
keyerrt=0
goto 12
else
#if 0
! total failure
write(*,*) "EOS: Did not converge in findtemp!"
write(*,*) "rl,logrho,logtemp0,ye,lt,eps,eps0,abs(eps-eps0)/eps0"
write(*,"(i4,i4,1P10E19.10)") i,rl,lr,lt0,y,lt,eps,eps0,abs(eps-eps0)/eps0
write(*,*) "Tried calling bisection... didn't help... :-/"
write(*,*) "Bisection error: ",keyerrt
#endif
endif
endif
lt0=min(lt,log10(t_max_hack))
return
endif
12 continue
lt0=min(lt,log10(t_max_hack))
end subroutine findtemp
subroutine findtemp_entropy(lr,lt0,y,sin,keyerrt,rfeps)
! This routine finds the new temperature based
! on rho, Y_e, entropy
use eosmodule
implicit none
real*8 lr,lt0,y,sin
real*8 s,lt,ldt
real*8 tol
real*8 d1,d2,d3
real*8 s0,s1,lt1
real*8 ltn,ltmax,ltmin
real*8 tinput,rfeps
integer :: rl = 0
integer itmax,i,keyerrt
integer ii,jj,kk
keyerrt=0
tol=rfeps ! need to find energy to less than 1 in 10^-10
itmax=20 ! use at most 20 iterations, then bomb
lt=lt0
lt1=lt
s0=sin
s1=s0
ltmax=logtemp(ntemp)
ltmin=logtemp(1)
!preconditioning 1: do we already have the right temperature?
call findthis(lr,lt,y,s,alltables(:,:,:,3),d1,d2,d3)
if (abs(s-s0).lt.tol*abs(s0)) then
return
endif
lt1=lt
s1=s
do i=1,itmax
!d2 is the derivative ds/dlogtemp;
ldt = -(s - s0)/d2
ltn = lt+ldt
ltn = min(ltn,ltmax)
ltn = max(ltn,ltmin)
lt1=lt
lt=ltn
s1=s
call findthis(lr,lt,y,s,alltables(:,:,:,3),d1,d2,d3)
if (abs(s - s0).lt.tol*abs(s0)) then
exit
endif
!setup new d2
! if we are closer than 10^-2 to the
! root (eps-eps0)=0, we are switching to
! the secant method, since the table is rather coarse and the
! derivatives may be garbage.
if(abs(s-s0).lt.1.0d-3*abs(s0)) then
d2 = (s-s1)/(lt-lt1)
endif
enddo
if(i.ge.itmax) then
keyerrt=667
call bisection(lr,lt0,y,s0,lt,alltables(:,:,:,3),keyerrt,2)
#if 0
if(keyerrt.eq.667) then
write(*,*) "EOS: Did not converge in findtemp_entropy!"
write(*,*) "rl,logrho,logtemp0,ye,lt,s,s0,abs(s-s0)/s0"
write(*,"(i4,i4,1P10E19.10)") i,rl,lr,lt0,y,lt,s,s0,abs(s-s0)/s0
write(*,*) "Tried calling bisection... didn't help... :-/"
write(*,*) "Bisection error: ",keyerrt
endif
#endif
lt0=lt
return
endif
lt0=lt
end subroutine findtemp_entropy
subroutine findtemp_low(lr,t0,y,epsin,keyerrt,rfeps)
! this routine is for finding fake temperatures
! outside of the table range; we use linear
! extrapolation in temperature
use eosmodule
implicit none
real*8 lr,t0,y,epsin
real*8 eps,t,dt
real*8 tol
real*8 dlepsdt
real*8 eps0,eps1,t1
real*8 tn,tmin,tmax
real*8 tinput,rfeps
integer :: rl = 0
integer itmax,i,keyerrt
integer ii,jj,kk
keyerrt=0
tol=rfeps ! need to find energy to less than 1 in 10^-10
itmax=100 ! use at most 20 iterations, then bomb
t=t0
t1=t
eps0=epsin
eps1=eps0
tmax=10.0d0**logtemp(2)
tmin=-20.0d0
!preconditioning 1: do we already have the right temperature?
call intp3d_linearTlow(lr,t,y,eps,1,alltables(:,:,:,2),nrho,&
ntemp,nye,logrho,logtemp,ye,dlepsdt)
if (abs(eps-eps0).lt.tol*abs(eps0)) then
return
endif
t1=t
eps1=eps
do i=1,itmax
dt = -(eps - eps0)/dlepsdt
tn = t+dt
if(tn >= tmax) then
tn = tmax*0.9d0
endif
tn = min(tn,tmax)
tn = max(tn,tmin)
t1=t
t=tn
eps1=eps
call intp3d_linearTlow(lr,t,y,eps,1,alltables(:,:,:,2),nrho,&
ntemp,nye,logrho,logtemp,ye,dlepsdt)
if (abs(eps - eps0).lt.tol*abs(eps0)) then
exit
endif
! if we are closer than 10^-2 to the
! root (eps-eps0)=0, we are switching to
! the secant method, since the table is rather coarse and the
! derivatives may be garbage.
if(abs(eps-eps0).lt.1.0d-3*abs(eps0)) then
dlepsdt = (eps-eps1)/(t-t1)
endif
enddo
t0 = t
if(i.ge.itmax) then
keyerrt=667
return
endif
end subroutine findtemp_low
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