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cmbmain.f90
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! This this is the main CAMB program module.
!
! Code for Anisotropies in the Microwave Background
! by Antony lewis (http://cosmologist.info) and Anthony Challinor
! See readme.html for documentation.
! Note that though the code is internally parallelised, it is not thread-safe
! so you cannot generate more than one model at the same time in different threads.
!
! Based on CMBFAST by Uros Seljak and Matias Zaldarriaga, itself based
! on Boltzmann code written by Edmund Bertschinger, Chung-Pei Ma and Paul Bode.
! Original CMBFAST copyright and disclaimer:
!
! Copyright 1996 by Harvard-Smithsonian Center for Astrophysics and
! the Massachusetts Institute of Technology. All rights reserved.
!
! THIS SOFTWARE IS PROVIDED "AS IS", AND M.I.T. OR C.f.A. MAKE NO
! REPRESENTATIONS OR WARRANTIES, EXPRESS OR IMPlIED.
! By way of example, but not limitation,
! M.I.T. AND C.f.A MAKE NO REPRESENTATIONS OR WARRANTIES OF
! MERCHANTABIlITY OR FITNESS FOR ANY PARTICUlAR PURPOSE OR THAT
! THE USE OF THE lICENSED SOFTWARE OR DOCUMENTATION WIll NOT INFRINGE
! ANY THIRD PARTY PATENTS, COPYRIGHTS, TRADEMARKS OR OTHER RIGHTS.
!
! portions of this software are based on the COSMICS package of
! E. Bertschinger. See the lICENSE file of the COSMICS distribution
! for restrictions on the modification and distribution of this software.
module CAMBmain
! This code evolves the linearized perturbation equations of general relativity,
! the Boltzmann equations and the fluid equations for perturbations
! of a Friedmann-Robertson-Walker universe with a supplied system of gauge-dependent equation
! in a modules called GaugeInterface. The sources for the line of sight integral are
! computed at sampled times during the evolution for various of wavenumbers. The sources
! are then interpolated to a denser wavenumber sampling for computing the line of
! sight integrals of the form Integral d(conformal time) source_k * bessel_k_l.
! For CP%flat models the bessel functions are interpolated from a pre-computed table, for
! non-CP%flat models the hyperspherical Bessel functions are computed by integrating their
! differential equation. Both phases ('Evolution' and 'Integration') can do separate
! wavenumbers in parallel.
! The time variable is conformal time dtau=dt/a(t) and the spatial dependence is Fourier transformed
! with q=sqrt(k**2 + (|m|+1)K), comoving distances are x=CP%r/a(t), with a(t)=1 today.
! The units of both length and time are Mpc.
! Many elements are part of derived types (to make thread safe or to allow non-sequential code use
! CP = CAMB parameters
! EV = Time evolution variables
! IV = Source integration variables
! CT = Cl transfer data
! MT = matter transfer data
! Modules are defined in modules.f90, except GaugeInterface which gives the background and gauge-dependent
! perturbation equations, and InitialPower which provides the initial power spectrum.
use precision
use ModelParams
use ModelData
use GaugeInterface
use Transfer
use SpherBessels
use lvalues
use MassiveNu
use InitialPower
use Errors
implicit none
private
logical :: WantLateTime = .false. !if lensing or redshift windows
logical ExactClosedSum !do all nu values in sum for Cls for Omega_k>0.1
!Variables for integrating the sources with the bessel functions for each wavenumber
type IntegrationVars
integer q_ix
real(dl) q, dq !q value we are doing and delta q
! real(dl), dimension(:,:), pointer :: Delta_l_q
!Contribution to C_l integral from this k
real(dl), dimension(:,:), pointer :: Source_q, ddSource_q
!Interpolated sources for this k
integer SourceSteps !number of steps up to where source is zero
end type IntegrationVars
integer SourceNum
!SourceNum is total number sources (2 or 3 for scalars, 3 for tensors).
real(dl) tautf(0:max_transfer_redshifts) !Time of Trasfer%redshifts
real(dl), dimension(:,:,:), allocatable :: Src, ddSrc !Sources and second derivs
! indices Src( k_index, source_index, time_step_index )
real(dl), dimension(:,:,:), allocatable :: iCl_scalar, iCl_vector, iCl_tensor
! Cls at the l values we actually compute, iCl_xxx(l_index, Cl_type, initial_power_index)
real(dl), dimension(:,:,:,:), allocatable :: iCl_Array
!Full covariance at each L (alternative more general arrangement to above)
! values of q to evolve the propagation equations to compute the sources
Type(Regions) :: Evolve_q
real(dl),parameter :: qmin0=0.1_dl
real(dl) :: dtaurec_q
! qmax - CP%Max_eta_k/CP%tau0, qmin = qmin0/CP%tau0 for flat case
real(dl) qmin, qmax
real(dl) max_etak_tensor , max_etak_vector, max_etak_scalar
! Will only be calculated if k*tau < max_etak_xx
integer maximum_l !Max value of l to compute
real(dl) :: maximum_qeta = 3000._dl
integer :: l_smooth_sample = 3000 !assume transfer functions effectively small for k>2*l_smooth_sample
real(dl) :: fixq = 0._dl !Debug output of one q
real(dl) :: ALens = 1._dl
Type(ClTransferData), pointer :: ThisCT
public cmbmain, ALens, ClTransferToCl, InitVars, GetTauStart
contains
subroutine cmbmain
integer q_ix
type(EvolutionVars) EV
! Timing variables for testing purposes. Used if DebugMsgs=.true. in ModelParams
real(sp) actual,timeprev,starttime
WantLateTime = CP%DoLensing .or. num_redshiftwindows > 0 .or. num_custom_sources>0
if (CP%WantCls) then
if (CP%WantTensors .and. CP%WantScalars) call MpiStop('CMBMAIN cannot generate tensors and scalars')
!Use CAMB_GetResults instead
if (CP%WantTensors) then
maximum_l = CP%Max_l_tensor
maximum_qeta = CP%Max_eta_k_tensor
else
maximum_l = CP%Max_l
maximum_qeta = CP%Max_eta_k
end if
call initlval(lSamp, maximum_l)
end if
if (DebugMsgs .and. Feedbacklevel > 0) then
actual=GetTestTime()
starttime=actual !times don't include reading the Bessel file
end if
call InitVars !Most of single thread time spent here (in InitRECFAST)
if (global_error_flag/=0) return
if (DebugMsgs .and. Feedbacklevel > 0) then
timeprev=actual
actual=GetTestTime()
write(*,*) actual-timeprev,' Timing for InitVars'
write (*,*) 'r = ',real(CP%r),' scale = ',real(scale), 'age = ', real(CP%tau0)
end if
!JD 08/13 for nonlinear lensing of CMB + MPK compatibility
!if (.not. CP%OnlyTransfers .or. CP%NonLinear==NonLinear_Lens) call InitializePowers(CP%InitPower,CP%curv)
if (.not. CP%OnlyTransfers .or. CP%NonLinear==NonLinear_Lens .or. CP%NonLinear==NonLinear_both) &
call InitializePowers(CP%InitPower,CP%curv)
if (global_error_flag/=0) return
!Calculation of the CMB sources.
if (CP%WantCls) call SetkValuesForSources
if (CP%WantTransfer) call InitTransfer
!***note that !$ is the prefix for conditional multi-processor compilation***
!$ if (ThreadNum /=0) call OMP_SET_NUM_THREADS(ThreadNum)
if (CP%WantCls) then
if (DebugMsgs .and. Feedbacklevel > 0) write(*,*) 'Set ',Evolve_q%npoints,' source k values'
call GetSourceMem
if (CP%WantScalars) then
ThisCT => CTransScal
else if (CP%WantVectors) then
ThisCT => CTransVec
else
ThisCT => CTransTens
end if
ThisCT%NumSources = SourceNum
ThisCT%ls = lSamp
!$OMP PARAllEl DO DEFAUlT(SHARED),SCHEDUlE(DYNAMIC), PRIVATE(EV, q_ix)
do q_ix= 1,Evolve_q%npoints
if (global_error_flag==0) call DoSourcek(EV,q_ix)
end do
!$OMP END PARAllEl DO
if (DebugMsgs .and. Feedbacklevel > 0) then
timeprev=actual
actual=GetTestTime()
write(*,*) actual-timeprev,' Timing for source calculation'
end if
endif !WantCls
! If transfer functions are requested, set remaining k values and output
if (CP%WantTransfer .and. global_error_flag==0) then
call TransferOut
if (DebugMsgs .and. Feedbacklevel > 0) then
timeprev=actual
actual=GetTestTime()
write(*,*) actual-timeprev,' Timing for transfer k values'
end if
end if
if (CP%WantTransfer .and. CP%WantCls .and. WantLateTime &
.and. (CP%NonLinear==NonLinear_Lens .or. CP%NonLinear==NonLinear_both) .and. global_error_flag==0) then
call MakeNonlinearSources
if (DebugMsgs .and. Feedbacklevel > 0) then
timeprev=actual
actual=GetTestTime()
write(*,*) actual-timeprev,' Timing for NonLinear sources'
end if
end if
if (CP%WantTransfer .and. .not. CP%OnlyTransfers .and. global_error_flag==0) &
call Transfer_Get_sigmas(MT)
! if CMB calculations are requested, calculate the Cl by
! integrating the sources over time and over k.
if (CP%WantCls) then
if (global_error_flag==0) then
call InitSourceInterpolation
ExactClosedSum = CP%curv > 5e-9_dl .or. scale < 0.93_dl
max_bessels_l_index = ThisCT%ls%l0
max_bessels_etak = maximum_qeta
if (CP%WantScalars) call GetLimberTransfers
ThisCT%max_index_nonlimber = max_bessels_l_index
if (CP%flat) call InitSpherBessels
!This is only slow if not called before with same (or higher) Max_l, Max_eta_k
!Preferably stick to Max_l being a multiple of 50
call SetkValuesForInt
if (DebugMsgs .and. Feedbacklevel > 0) write(*,*) 'Set ',ThisCT%q%npoints,' integration k values'
!Begin k-loop and integrate Sources*Bessels over time
!$OMP PARAllEl DO DEFAUlT(SHARED),SHARED(TimeSteps), SCHEDUlE(STATIC,4)
do q_ix=1,ThisCT%q%npoints
call SourceToTransfers(q_ix)
end do !q loop
!$OMP END PARAllEl DO
if (DebugMsgs .and. Feedbacklevel > 0) then
timeprev=actual
actual=GetTestTime()
write(*,*)actual-timeprev,' Timing For Integration'
end if
end if
call FreeSourceMem
!Final calculations for CMB output unless want the Cl transfer functions only.
if (.not. CP%OnlyTransfers .and. global_error_flag==0) &
call ClTransferToCl(CTransScal,CTransTens, CTransVec)
end if
if (DebugMsgs .and. Feedbacklevel > 0) then
timeprev=actual
actual = GetTestTime()
write(*,*) actual - timeprev,' Timing for final output'
write(*,*) actual -starttime,' Timing for whole of cmbmain'
end if
end subroutine cmbmain
subroutine ClTransferToCl(CTransS,CTransT, CTransV)
Type(ClTransferData) :: CTransS,CTransT, CTransV
if (CP%WantScalars .and. global_error_flag==0) then
lSamp = CTransS%ls
allocate(iCl_Scalar(CTransS%ls%l0,C_Temp:C_last,CP%InitPower%nn))
iCl_scalar = 0
if (has_cl_2D_array) then
allocate(iCl_Array(CTransS%ls%l0,CTransS%NumSources,CTransS%NumSources,CP%InitPower%nn))
iCl_Array = 0
end if
call CalcLimberScalCls(CTransS)
call CalcScalCls(CTransS)
if (DebugMsgs .and. Feedbacklevel > 0) write (*,*) 'CalcScalCls'
end if
if (CP%WantVectors .and. global_error_flag==0) then
allocate(iCl_vector(CTransV%ls%l0,C_Temp:CT_Cross,CP%InitPower%nn))
iCl_vector = 0
call CalcVecCls(CTransV,GetInitPowerArrayVec)
if (DebugMsgs .and. Feedbacklevel > 0) write (*,*) 'CalcVecCls'
end if
if (CP%WantTensors .and. global_error_flag==0) then
allocate(iCl_Tensor(CTransT%ls%l0,CT_Temp:CT_Cross,CP%InitPower%nn))
iCl_tensor = 0
call CalcTensCls(CTransT,GetInitPowerArrayTens)
if (DebugMsgs .and. Feedbacklevel > 0) write (*,*) 'CalcTensCls'
end if
if (global_error_flag==0) then
call Init_Cls
! Calculating Cls for every l.
call InterpolateCls(CTransS,CTransT, CTransV)
if (DebugMsgs .and. Feedbacklevel > 0) write (*,*) 'InterplolateCls'
end if
if (CP%WantScalars .and. allocated(iCl_Scalar)) deallocate(iCl_scalar)
if (CP%WantScalars .and. allocated(iCl_Array)) deallocate(iCl_Array)
if (CP%WantVectors .and. allocated(iCl_Vector)) deallocate(iCl_vector)
if (CP%WantTensors .and. allocated(iCl_Tensor)) deallocate(iCl_tensor)
if (global_error_flag/=0) return
if (CP%OutputNormalization >=2) call NormalizeClsAtl(CP%OutputNormalization)
!Normalize to C_l=1 at l=OutputNormalization
end subroutine ClTransferToCl
subroutine CalcLimberScalCls(CTrans)
Type(ClTransferData) :: CTrans
integer ell, i, s_ix, pix
real(dl) CL, reall,fac, dbletmp
integer s_ix2,j,n
Type(LimberRec), pointer :: LimbRec,LimbRec2
integer winmin
if (limber_phiphi>0) then
winmin = 0
else
winmin=1
end if
do pix=1,CP%InitPower%nn
do i =winmin, num_redshiftwindows
s_ix = 3+i
if (CTrans%limber_l_min(s_ix) /=0) then
do j= i, num_redshiftwindows
s_ix2 = 3+j
if (CTrans%limber_l_min(s_ix2) /=0) then
!$OMP PARALLEL DO DEFAUlT(SHARED), SCHEDUlE(STATIC,2), PRIVATE(Cl,ell,reall,fac,dbletmp,n,LimbRec,LimbRec2)
do ell = max(CTrans%limber_l_min(s_ix), CTrans%limber_l_min(s_ix2)), Ctrans%ls%l0
Cl = 0
LimbRec => CTrans%Limber_windows(s_ix,ell)
LimbRec2 => CTrans%Limber_windows(s_ix2,ell)
do n = max(LimbRec%n1,LimbRec2%n1), min(LimbRec%n2,LimbRec2%n2)
!Actually integral over chi; source has sqrt( chi dchi)
!Same n corresponds to same k since ell fixed here
Cl = Cl + LimbRec%Source(n)*LimbRec2%Source(n) * ScalarPower(LimbRec%k(n) ,pix)
end do
reall = real(CTrans%ls%l(ell),dl)
fac = (2*pi**2)/fourpi/(reall+0.5_dl)**3 !fourpi because multipled by fourpi later
Cl = Cl*fac
if(j==0 .and. i==0) iCl_scalar(ell,C_Phi,pix) = Cl
if (has_cl_2D_array) then
iCl_Array(ell,s_ix,s_ix2,pix) = Cl
if (i/=j) iCl_Array(ell,s_ix2,s_ix,pix)=iCl_Array(ell,s_ix,s_ix2,pix)
end if
end do
!$OMP END PARAllEl DO
end if
end do
end if
end do
end do
end subroutine CalcLimberScalCls
subroutine GetLimberTransfers
integer ell, ell_needed
integer i,s_ix
integer n1,n2,n, ell_limb
real(dl) int,k, chi, chimin
integer klo, khi
real(dl) a0,b0,ho2o6,a03,b03,ho
Type(LimberRec), pointer :: LimbRec
call Init_Limber(ThisCT)
if (num_redshiftwindows==0 .and. limber_phiphi==0) return
if (ThisCT%ls%l(ThisCT%ls%l0) > 5000) then
max_bessels_l_index = lvalues_indexOf(ThisCT%ls,5000)
else
max_bessels_l_index = ThisCT%ls%l0
end if
if (CP%Want_CMB) then
max_bessels_etak= min(ThisCT%ls%l(ThisCT%ls%l0),3000)*2.5_dl*AccuracyBoost
else
max_bessels_etak = 5000
end if
do i =0, num_redshiftwindows
s_ix = 3+i
if (i==0) then
ell_limb = limber_phiphi
end if
ell_needed = ThisCT%ls%l(ThisCT%ls%l0)
do ell = 1, ThisCT%ls%l0
if (ThisCT%ls%l(ell) >= ell_limb) then
ThisCT%limber_l_min(s_ix) = ell
ell_needed = ThisCT%ls%l(ell)
max_bessels_l_index = max(max_bessels_l_index,ThisCT%limber_l_min(s_ix)-1)
if (FeedbackLevel > 1) write (*,*) i,'Limber switch', ell_needed
exit
end if
end do
if (ThisCT%limber_l_min(s_ix)/=0) then
if (i==0) then
n1 = Ranges_IndexOf(TimeSteps,tau_maxvis)
n2 = TimeSteps%npoints-1
end if
do ell = ThisCT%limber_l_min(s_ix), ThisCT%ls%l0
LimbRec => ThisCT%Limber_windows(s_ix,ell)
LimbRec%n1 = n1
LimbRec%n2 = n2
allocate(LimbRec%k(n1:n2))
allocate(LimbRec%Source(n1:n2))
int = 0
do n = n1,n2
chi = (CP%tau0-TimeSteps%points(n))
k = (ThisCT%ls%l(ell)+0.5_dl)/chi
LimbRec%k(n) = k
if (k<=qmax) then
klo = Ranges_IndexOf(Evolve_q, k)
khi=klo+1
ho=Evolve_q%points(khi)-Evolve_q%points(klo)
a0=(Evolve_q%points(khi)-k)/ho
b0=(k-Evolve_q%points(klo))/ho
ho2o6 = ho**2/6
a03=(a0**3-a0)
b03=(b0**3-b0)
LimbRec%Source(n)= sqrt(chi*TimeSteps%dpoints(n))* (a0*Src(klo,s_ix,n)+&
b0*Src(khi,s_ix,n)+(a03 *ddSrc(klo,s_ix,n)+ b03*ddSrc(khi,s_ix,n)) *ho2o6)
else
LimbRec%Source(n)=0
end if
end do
end do
else
max_bessels_l_index = ThisCT%ls%l0
end if
end do
end subroutine GetLimberTransfers
subroutine SourceToTransfers(q_ix)
integer q_ix
type(IntegrationVars) :: IV
allocate(IV%Source_q(TimeSteps%npoints,SourceNum))
if (.not.CP%flat) allocate(IV%ddSource_q(TimeSteps%npoints,SourceNum))
call IntegrationVars_init(IV)
IV%q_ix = q_ix
IV%q =ThisCT%q%points(q_ix)
IV%dq= ThisCT%q%dpoints(q_ix)
call InterpolateSources(IV)
call DoSourceIntegration(IV)
if (.not.CP%flat) deallocate(IV%ddSource_q)
deallocate(IV%Source_q)
end subroutine SourceToTransfers
subroutine InitTransfer
integer nu,lastnu, ntodo, nq, q_ix, first_i
real(dl) dlog_lowk1,dlog_lowk, d_osc,dlog_osc, dlog_highk, boost
real(dl) amin,q_switch_lowk,q_switch_lowk1,q_switch_osc,q_switch_highk
real(dl), dimension(:), allocatable :: q_transfer
if (CP%Transfer%k_per_logint==0) then
!Optimized spacing
!Large log spacing on superhorizon scales
!Linear spacing for horizon scales and first few baryon osciallations
!Log spacing for last few oscillations
!large log spacing for small scales
boost = AccuracyBoost
if (CP%Transfer%high_precision) boost = boost*1.5
q_switch_lowk1 = 0.7/taurst
dlog_lowk1=2*boost
q_switch_lowk = 8/taurst
dlog_lowk=8*boost
if (HighAccuracyDefault) dlog_lowk = dlog_lowk*2.5
q_switch_osc = min(CP%Transfer%kmax,30/taurst)
d_osc= 200*boost
if (HighAccuracyDefault) d_osc = d_osc*1.8
q_switch_highk = min(CP%Transfer%kmax,60/taurst)
dlog_osc = 17*boost
if (HighAccuracyDefault) q_switch_highk = min(CP%Transfer%kmax,90/taurst)
!Then up to kmax
dlog_highk = 3*boost
amin = 5e-5_dl
nq=int((log(CP%Transfer%kmax/amin))*d_osc)+1
allocate(q_transfer(nq))
nq=int((log(q_switch_lowk1/amin))*dlog_lowk1)+1
do q_ix=1, nq
q_transfer(q_ix) = amin*exp((q_ix-1)/dlog_lowk1)
end do
MT%num_q_trans = nq
nq=int(log( q_switch_lowk/q_transfer(MT%num_q_trans))*dlog_lowk) +1
do q_ix=1, nq
q_transfer(MT%num_q_trans+q_ix) = q_transfer(MT%num_q_trans)*exp(q_ix/dlog_lowk)
end do
MT%num_q_trans = MT%num_q_trans + nq
nq=int((q_switch_osc-q_transfer(MT%num_q_trans))*d_osc)+1
do q_ix=1, nq
q_transfer(MT%num_q_trans+q_ix) = q_transfer(MT%num_q_trans)+ q_ix/d_osc
end do
MT%num_q_trans = MT%num_q_trans + nq
if (CP%Transfer%kmax > q_transfer(MT%num_q_trans)) then
nq=int(log( q_switch_highk/q_transfer(MT%num_q_trans))*dlog_osc) +1
do q_ix=1, nq
q_transfer(MT%num_q_trans+q_ix) = q_transfer(MT%num_q_trans)*exp(q_ix/dlog_osc)
end do
MT%num_q_trans = MT%num_q_trans + nq
end if
if (CP%Transfer%kmax > q_transfer(MT%num_q_trans)) then
nq=int(log(CP%Transfer%kmax/q_transfer(MT%num_q_trans))*dlog_highk)+1
do q_ix=1, nq
q_transfer(MT%num_q_trans+q_ix) = q_transfer(MT%num_q_trans)*exp(q_ix/dlog_highk)
end do
MT%num_q_trans = MT%num_q_trans + nq
end if
else
!Fixed spacing
MT%num_q_trans=int((log(CP%Transfer%kmax)-log(qmin))*CP%Transfer%k_per_logint)+1
allocate(q_transfer(MT%num_q_trans))
do q_ix=1, MT%num_q_trans
q_transfer(q_ix) = qmin*exp(real(q_ix)/CP%Transfer%k_per_logint)
end do
end if
if (CP%closed) then
lastnu=0
ntodo = 0
do q_ix=1,MT%num_q_trans
nu =nint(CP%r*q_transfer(q_ix))
if (.not. ((nu<3).or.(nu<=lastnu))) then
ntodo=ntodo+1
q_transfer(ntodo)= nu/CP%r
lastnu=nu
end if
end do
MT%num_q_trans = ntodo
end if
if (CP%WantCls) then
ntodo = MT%num_q_trans
first_i = ntodo+1
do q_ix = 1,ntodo
if (q_transfer(q_ix) > Evolve_q%highest+1d-4) then
!Feb13 fix for case with closed universe where qmax is not neccessarily right quantized value
! if (q_transfer(q_ix) > qmax) then
first_i=q_ix
exit
end if
end do
if (first_i > ntodo) then
MT%num_q_trans = Evolve_q%npoints
else
MT%num_q_trans = Evolve_q%npoints + (ntodo - first_i+1)
end if
call Transfer_Allocate(MT)
MT%q_trans(1:Evolve_q%npoints) = Evolve_q%points(1:Evolve_q%npoints)
if (MT%num_q_trans > Evolve_q%npoints) then
MT%q_trans(Evolve_q%npoints+1:MT%num_q_trans) = q_transfer(first_i:ntodo)
end if
else
Evolve_q%npoints = 0
call Transfer_Allocate(MT)
MT%q_trans = q_transfer(1:MT%num_q_trans)
end if
deallocate(q_transfer)
end subroutine InitTransfer
function GetTauStart(q)
real(dl), intent(IN) :: q
real(dl) taustart, GetTauStart
! Begin when wave is far outside horizon.
! Conformal time (in Mpc) in the radiation era, for photons plus 3 species
! of relativistic neutrinos.
if (CP%flat) then
taustart=0.001_dl/q
else
taustart=0.001_dl/sqrt(q**2-CP%curv)
end if
if (fixq/=0._dl) then
taustart = 0.001_dl/fixq
end if
! Make sure to start early in the radiation era.
taustart=min(taustart,0.1_dl)
! Start when massive neutrinos are strongly relativistic.
if (CP%Num_nu_massive>0) then
taustart=min(taustart,1.d-3/maxval(nu_masses(1:CP%Nu_mass_eigenstates))/adotrad)
end if
GetTauStart=taustart
end function GetTauStart
subroutine DoSourcek(EV,q_ix)
integer q_ix
real(dl) taustart
type(EvolutionVars) EV
EV%q=Evolve_q%points(q_ix)
if (fixq/=0._dl) then
EV%q= min(500._dl,fixq) !for testing
end if
EV%q2=EV%q**2
EV%q_ix = q_ix
EV%TransferOnly=.false.
taustart = GetTauStart(EV%q)
if (fixq/=0._dl) then
EV%q= fixq
EV%q2=EV%q**2
end if
call GetNumEqns(EV)
if (CP%WantScalars .and. global_error_flag==0) call CalcScalarSources(EV,taustart)
if (CP%WantVectors .and. global_error_flag==0) call CalcVectorSources(EV,taustart)
if (CP%WantTensors .and. global_error_flag==0) call CalcTensorSources(EV,taustart)
end subroutine DoSourcek
subroutine GetSourceMem
if (CP%WantScalars) then
if (WantLateTime) then
SourceNum=3
C_last = C_PhiE
SourceNum=SourceNum + num_redshiftwindows + &
num_extra_redshiftwindows + num_custom_sources
else
SourceNum=2
C_last = C_Cross
end if
else
SourceNum=3
end if
allocate(Src(Evolve_q%npoints,SourceNum,TimeSteps%npoints))
Src=0
allocate(ddSrc(Evolve_q%npoints,SourceNum,TimeSteps%npoints))
end subroutine GetSourceMem
subroutine FreeSourceMem
if (allocated(Src))deallocate(Src, ddSrc)
call Ranges_Free(Evolve_q)
end subroutine FreeSourceMem
! initial variables, number of steps, etc.
subroutine InitVars
use ThermoData
use precision
use ModelParams
implicit none
real(dl) taumin, maxq, initAccuracyBoost
integer itf
initAccuracyBoost = AccuracyBoost
! Maximum and minimum k-values.
if (CP%flat) then
qmax=maximum_qeta/CP%tau0
qmin=qmin0/CP%tau0/initAccuracyBoost
else
qmax=maximum_qeta/CP%r/CP%chi0
qmin=qmin0/CP%r/CP%chi0/initAccuracyBoost
end if
! Timesteps during recombination (tentative, the actual
! timestep is the minimum between this value and taurst/40,
! where taurst is the time when recombination starts - see inithermo
dtaurec_q=4/qmax/initAccuracyBoost
if (.not. CP%flat) dtaurec_q=dtaurec_q/6
!AL:Changed Dec 2003, dtaurec feeds back into the non-flat integration via the step size
dtaurec = dtaurec_q
!dtau rec may be changed by inithermo
max_etak_tensor = initAccuracyBoost*maximum_qeta /10
max_etak_scalar = initAccuracyBoost*max(1700._dl,maximum_qeta) /20
if (maximum_qeta <3500 .and. AccuracyBoost < 2) max_etak_scalar = max_etak_scalar * 1.5
!tweak to get large scales right
max_etak_vector = max_etak_scalar
if (CP%WantCls) then
maxq = qmax
if (CP%WantTransfer) maxq=max(qmax,CP%Transfer%kmax)
else
maxq=CP%Transfer%kmax
end if
taumin=GetTauStart(maxq)
! Initialize baryon temperature and ionization fractions vs. time.
! This subroutine also fixes the timesteps where the sources are
! saved in order to do the integration. So TimeSteps is set here.
!These routines in ThermoData (modules.f90)
call inithermo(taumin,CP%tau0)
if (global_error_flag/=0) return
if (DebugMsgs .and. Feedbacklevel > 0) write (*,*) 'inithermo'
!Do any array initialization for propagation equations
call GaugeInterface_Init
if (Feedbacklevel > 0) &
write(*,'("tau_recomb/Mpc = ",f7.2," tau_now/Mpc = ",f8.1)') tau_maxvis,CP%tau0
! Calculating the times for the outputs of the transfer functions.
!
if (CP%WantTransfer) then
do itf=1,CP%Transfer%num_redshifts
tautf(itf)=min(TimeOfz(CP%Transfer%redshifts(itf)),CP%tau0)
if (itf>1) then
if (tautf(itf) <= tautf(itf-1)) then
call MpiStop('Transfer redshifts not set or out of order')
end if
end if
end do
endif
end subroutine InitVars
subroutine SetkValuesForSources
implicit none
real(dl) dlnk0, dkn1, dkn2, q_switch, q_cmb, dksmooth
real(dl) qmax_log
real(dl) SourceAccuracyBoost
! set k values for which the sources for the anisotropy and
! polarization will be calculated. For low values of k we
! use a logarithmic spacing. closed case dealt with by SetClosedkValues
SourceAccuracyBoost = AccuracyBoost
if (CP%WantScalars .and. CP%Reion%Reionization .and. CP%AccuratePolarization) then
dlnk0=2._dl/10/SourceAccuracyBoost
!Need this to get accurate low l polarization
else
dlnk0=5._dl/10/SourceAccuracyBoost
if (CP%closed) dlnk0=dlnk0/2
end if
if (CP%AccurateReionization) dlnk0 = dlnk0/2
dkn1=0.6_dl/taurst/SourceAccuracyBoost
dkn2=0.9_dl/taurst/SourceAccuracyBoost
if (HighAccuracyDefault) dkn2=dkn2/1.2
if (CP%WantTensors .or. CP%WantVectors) then
dkn1=dkn1 *0.8_dl
dlnk0=dlnk0/2 !*0.3_dl
dkn2=dkn2*0.85_dl
end if
qmax_log = dkn1/dlnk0
q_switch = 2*6.3/taurst
!Want linear spacing for wavenumbers which come inside horizon
!Could use sound horizon, but for tensors that is not relevant
q_cmb = 2*l_smooth_sample/CP%chi0*AccuracyBoost !assume everything is smooth at l > l_smooth_sample
if (CP%Want_CMB .and. maximum_l > 5000 .and. CP%AccuratePolarization) q_cmb = q_cmb*1.4
!prevent EE going wild in tail
dksmooth = q_cmb/2/(AccuracyBoost)**2
if (CP%Want_CMB) dksmooth = dksmooth/6
call Ranges_Init(Evolve_q)
call Ranges_Add_delta(Evolve_q, qmin, qmax_log, dlnk0, IsLog = .true.)
call Ranges_Add_delta(Evolve_q, qmax_log, min(qmax,q_switch), dkn1)
if (qmax > q_switch) then
call Ranges_Add_delta(Evolve_q, q_switch, min(q_cmb,qmax), dkn2)
if (qmax > q_cmb) then
dksmooth = log(1 + dksmooth/q_cmb)
call Ranges_Add_delta(Evolve_q, q_cmb, qmax, dksmooth, IsLog = .true.)
end if
end if
call Ranges_GetArray(Evolve_q, .false.)
if (CP%closed) call SetClosedkValuesFromArr(Evolve_q, .false.)
end subroutine SetkValuesForSources
subroutine SetClosedkValuesFromArr(R, forInt)
Type(Regions) :: R
integer i,nu,lastnu,nmax
!nu = 3,4,5... in CP%closed case, so set nearest integers from arr array
logical, intent(in) :: forInt
integer ix
real(dl) dnu
integer, allocatable :: nu_array(:)
if (forInt .and. nint(R%points(1)*CP%r)<=3) then
!quantization is important
call Ranges_Getdpoints(R,half_ends = .false.)
R%dpoints = max(1,int(R%dpoints*CP%r+0.02))
lastnu=2
ix=1
dnu =R%dpoints(ix)
nmax=0
lastnu=2
allocate(nu_array(R%npoints*2))
do
do while (R%dpoints(ix)==dnu .and. ix <R%npoints)
ix=ix+1
end do
do nu=lastnu+1,nint(R%points(ix)*CP%r), nint(dnu)
nmax=nmax+1
nu_array(nmax)= nu
end do
lastnu=nu_array(nmax) + nint(dnu)-1
if (ix==R%npoints) exit
dnu = R%dpoints(ix)
end do
if (nint(R%points(R%npoints)*CP%r) > nu_array(nmax)) then
nmax=nmax+1
nu_array(nmax) = nint(R%points(R%npoints)*CP%r)
end if
deallocate(R%points)
allocate(R%points(nmax))
R%points = nu_array(1:nmax)/CP%r
deallocate(nu_array)
else
lastnu=3
nmax=1
do i=2,R%npoints
nu=nint(R%points(i)*CP%r)
if (nu > lastnu) then
nmax=nmax+1
lastnu=nu
R%points(nmax)=nu/CP%r
end if
end do
R%points(1)=3/CP%r
end if
R%Lowest = R%points(1)
R%Highest = R%points(nmax)
R%npoints=nmax
end subroutine SetClosedkValuesFromArr
subroutine CalcScalarSources(EV,taustart)
use Transfer
implicit none
type(EvolutionVars) EV
real(dl) tau,tol1,tauend, taustart
integer j,ind,itf
real(dl) c(24),w(EV%nvar,9), y(EV%nvar), sources(SourceNum)
real(dl) yprime(EV%nvar), ddelta, delta, adotoa,dtauda, growth
external dtauda
if (fixq/=0._dl) then
!evolution output
EV%q=fixq
EV%q2=EV%q**2
endif
w=0
y=0
call initial(EV,y, taustart)
if (global_error_flag/=0) return
tau=taustart
ind=1
!!Example code for plotting out variable evolution (can now do this better via python)
if (fixq/=0._dl) then
tol1=tol/exp(AccuracyBoost-1)
call CreateTxtFile('evolve.txt',1)
do j=1,1000
tauend = taustart+(j-1)*(CP%tau0-taustart)/1000
call GaugeInterface_EvolveScal(EV,tau,y,tauend,tol1,ind,c,w)
yprime = 0
call derivs(EV,EV%ScalEqsToPropagate,tau,y,yprime)
adotoa = 1/(y(1)*dtauda(y(1)))
ddelta= (yprime(3)*grhoc+yprime(4)*grhob)/(grhob+grhoc)
delta=(grhoc*y(3)+grhob*y(4))/(grhob+grhoc)
growth= ddelta/delta/adotoa
write (1,'(7E15.5)') tau, delta, growth, y(3), y(4), y(EV%g_ix), y(1)
end do
close(1)
stop
end if
! Begin timestep loop.
itf=1
tol1=tol/exp(AccuracyBoost-1)
if (CP%WantTransfer) then
if (CP%Transfer%high_precision) tol1=tol1/100
do while (itf <= CP%Transfer%num_redshifts .and. TimeSteps%points(2) > tautf(itf))
!Just in case someone wants to get the transfer outputs well before recombination
call GaugeInterface_EvolveScal(EV,tau,y,tautf(itf),tol1,ind,c,w)
if (global_error_flag/=0) return
call outtransf(EV,y, tau, MT%TransferData(:,EV%q_ix,itf))
itf = itf+1
end do
end if
do j=2,TimeSteps%npoints
tauend=TimeSteps%points(j)
if (.not. DebugEvolution .and. (EV%q*tauend > max_etak_scalar .and. tauend > taurend) &
.and. .not. WantLateTime .and. (.not.CP%WantTransfer.or.tau > tautf(CP%Transfer%num_redshifts))) then
Src(EV%q_ix,1:SourceNum,j)=0
else
!Integrate over time, calulate end point derivs and calc output
call GaugeInterface_EvolveScal(EV,tau,y,tauend,tol1,ind,c,w)
if (global_error_flag/=0) return
call output(EV,y,tau,sources, num_custom_sources)
Src(EV%q_ix,1:SourceNum,j)=sources
! Calculation of transfer functions.
101 if (CP%WantTransfer.and.itf <= CP%Transfer%num_redshifts) then
if (j < TimeSteps%npoints) then
if (tauend < tautf(itf) .and.TimeSteps%points(j+1) > tautf(itf)) then
call GaugeInterface_EvolveScal(EV,tau,y,tautf(itf),tol1,ind,c,w)
if (global_error_flag/=0) return
endif
end if
! output transfer functions for this k-value.
if (abs(tau-tautf(itf)) < 1.e-5_dl) then
call outtransf(EV,y, tau, MT%TransferData(:,EV%q_ix,itf))
itf=itf+1