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modules.f90
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modules.f90
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! Modules used by cmbmain and other routines.
! Code for Anisotropies in the Microwave Background
! by Antony Lewis (http://cosmologist.info) and Anthony Challinor
! See readme.html for documentation.
!
! 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 ModelParams
use precision
use Ranges
use InitialPower
use Reionization
use Recombination
use Errors
implicit none
public
character(LEN=*), parameter :: version = 'Aug18'
integer :: FeedbackLevel = 0 !if >0 print out useful information about the model
logical :: output_file_headers = .true.
logical, parameter :: DebugMsgs=.false. !Set to true to view progress and timing
logical, parameter :: DebugEvolution = .false. !Set to true to do all the evolution for all k
real(dl) :: DebugParam = 0._dl !not used but read in, useful for parameter-dependent tests
logical :: do_bispectrum = .false.
logical, parameter :: hard_bispectrum = .false. ! e.g. warm inflation where delicate cancellations
logical, parameter :: full_bessel_integration = .false. !(go into the tails when calculating the sources)
integer, parameter :: Nu_int = 0, Nu_trunc=1, Nu_approx = 2, Nu_best = 3
!For CAMBparams%MassiveNuMethod
!Nu_int: always integrate distribution function
!Nu_trunc: switch to expansion in velocity once non-relativistic
!Nu_approx: approximate scheme - good for CMB, but not formally correct and no good for matter power
!Nu_best: automatically use mixture which is fastest and most accurate
integer, parameter :: max_Nu = 5 !Maximum number of neutrino species
integer, parameter :: max_transfer_redshifts = 150
integer, parameter :: fileio_unit = 13 !Any number not used elsewhere will do
integer, parameter :: outNone=1
integer :: max_bessels_l_index = 1000000
real(dl) :: max_bessels_etak = 1000000*2
real(dl), parameter :: OutputDenominator =twopi
!When using outNone the output is l(l+1)Cl/OutputDenominator
Type(Regions) :: TimeSteps
type TransferParams
logical :: high_precision
logical :: accurate_massive_neutrinos
integer :: num_redshifts
real(dl) :: kmax !these are acutally q values, but same as k for flat
integer :: k_per_logint ! ..
real(dl) :: redshifts(max_transfer_redshifts)
!JD 08/13 Added so both NL lensing and PK can be run at the same time
real(dl) :: PK_redshifts(max_transfer_redshifts)
real(dl) :: NLL_redshifts(max_transfer_redshifts)
integer :: PK_redshifts_index(max_transfer_redshifts)
integer :: NLL_redshifts_index(max_transfer_redshifts)
integer :: PK_num_redshifts
integer :: NLL_num_redshifts
end type TransferParams
!other variables, options, derived variables, etc.
integer, parameter :: NonLinear_none=0, NonLinear_Pk =1, NonLinear_Lens=2
integer, parameter :: NonLinear_both=3 !JD 08/13 added so both can be done
! Main parameters type
type CAMBparams
logical :: WantCls, WantTransfer
logical :: WantScalars, WantTensors, WantVectors
logical :: DoLensing
logical :: want_zstar, want_zdrag !!JH for updated BAO likelihood.
logical :: PK_WantTransfer !JD 08/13 Added so both NL lensing and PK can be run at the same time
integer :: NonLinear
logical :: Want_CMB
integer :: Max_l, Max_l_tensor
real(dl) :: Max_eta_k, Max_eta_k_tensor
! _tensor settings only used in initialization,
!Max_l and Max_eta_k are set to the tensor variables if only tensors requested
real(dl) :: omegab, omegac, omegav, omegan
! VS 2019 2nd CDM species and DR
real(dl) :: omegac2, omegadr, GamDCDM
!
!Omega baryon, CDM, Lambda and massive neutrino
real(dl) :: H0,TCMB,yhe,Num_Nu_massless
integer :: Num_Nu_massive !sum of Nu_mass_numbers below
integer :: Nu_mass_eigenstates !1 for degenerate masses
logical :: share_delta_neff !take fractional part to heat all eigenstates the same
real(dl) :: Nu_mass_degeneracies(max_nu)
real(dl) :: Nu_mass_fractions(max_nu) !The ratios of the total densities
integer :: Nu_mass_numbers(max_nu) !physical number per eigenstate
integer :: Scalar_initial_condition
!must be one of the initial_xxx values defined in GaugeInterface
integer :: OutputNormalization
!outNone, or C_OutputNormalization=1 if > 1
logical :: AccuratePolarization
!Do you care about the accuracy of the polarization Cls?
logical :: AccurateBB
!Do you care about BB accuracy (e.g. in lensing)
!Reionization settings - used if Reion%Reionization=.true.
logical :: AccurateReionization
!Do you care about pecent level accuracy on EE signal from reionization?
integer :: MassiveNuMethod
type(InitialPowerParams) :: InitPower !see power_tilt.f90 - you can change this
type(ReionizationParams) :: Reion
type(RecombinationParams):: Recomb
type(TransferParams) :: Transfer
real(dl) :: InitialConditionVector(1:10) !Allow up to 10 for future extensions
!ignored unless Scalar_initial_condition == initial_vector
logical OnlyTransfers !Don't use initial power spectrum data, instead get Delta_q_l array
!If true, sigma_8 is not calculated either
logical DerivedParameters !calculate various derived parameters (ThermoDerivedParams)
!Derived parameters, not set initially
type(ReionizationHistory) :: ReionHist
logical flat,closed,open
real(dl) omegak
real(dl) curv,r, Ksign !CP%r = 1/sqrt(|CP%curv|), CP%Ksign = 1,0 or -1
real(dl) tau0,chi0 !time today and rofChi(CP%tau0/CP%r)
end type CAMBparams
type(CAMBparams), save :: CP !Global collection of parameters
real(dl) scale !relative to CP%flat. e.g. for scaling lSamp%l sampling.
logical ::call_again = .false.
!if being called again with same parameters to get different thing
! grhom =kappa*a^2*rho_m0
! grhornomass=grhor*number of massless neutrino species
! taurst,taurend - time at start/end of recombination
! dtaurec - dtau during recombination
! adotrad - a(tau) in radiation era
real(dl) grhom,grhog,grhor,grhob,grhoc,grhov,grhornomass,grhok
! VS 2019 2nd CDM species and DR
real(dl) grhoc2, grhodr, GamDCDM
!
real(dl) taurst,dtaurec,taurend, tau_maxvis,adotrad
!Neutrinos
real(dl) grhormass(max_nu)
! nu_masses=m_nu*c**2/(k_B*T_nu0)
real(dl) :: nu_masses(max_nu)
real(dl) akthom !sigma_T * (number density of protons now)
real(dl) fHe !n_He_tot / n_H_tot
real(dl) Nnow
integer :: ThreadNum = 0
!If zero assigned automatically, obviously only used if parallelised
!Parameters for checking/changing overall accuracy
!If HighAccuracyDefault=.false., the other parameters equal to 1 corresponds to ~0.3% scalar C_l accuracy
!If HighAccuracyDefault=.true., the other parameters equal to 1 corresponds to ~0.1% scalar C_l accuracy (at L>600)
logical :: HighAccuracyDefault = .true.
real(dl) :: lSampleBoost=1._dl
!Increase lSampleBoost to increase sampling in lSamp%l for Cl interpolation
real(dl) :: AccuracyBoost =1._dl
!Decrease step sizes, etc. by this parameter. Useful for checking accuracy.
!Can also be used to improve speed significantly if less accuracy is required.
!or improving accuracy for extreme models.
!Note this does not increase lSamp%l sampling or massive neutrino q-sampling
real(sp) :: lAccuracyBoost=1.
!Boost number of multipoles integrated in Boltzman heirarchy
integer :: limber_phiphi = 0 !for l>limber_phiphi use limber approx for lensing potential
integer :: num_redshiftwindows = 0
integer :: num_extra_redshiftwindows = 0
integer :: num_custom_sources = 0
integer, allocatable :: custom_source_ell_scales(:)
integer, parameter :: lmin = 2
!must be either 1 or 2
real(dl), parameter :: OmegaKFlat = 5e-7_dl !Value at which to use flat code
real(dl),parameter :: tol=1.0d-4 !Base tolerance for integrations
! used as parameter for spline - tells it to use 'natural' end values
real(dl), parameter :: spl_large=1.e40_dl
integer, parameter:: l0max=4000
! lmax is max possible number of l's evaluated
integer, parameter :: lmax_arr = l0max
character(LEN=1024) :: highL_unlensed_cl_template = 'HighLExtrapTemplate_lenspotentialCls.dat'
!fiducial high-accuracy high-L C_L used for making small cosmology-independent numerical corrections
!to lensing and C_L interpolation. Ideally close to models of interest, but dependence is weak.
logical :: use_spline_template = .true.
integer, parameter :: lmax_extrap_highl = 8000
real(dl), allocatable :: highL_CL_template(:,:)
integer, parameter :: derived_age=1, derived_zstar=2, derived_rstar=3, derived_thetastar=4, derived_DAstar = 5, &
derived_zdrag=6, derived_rdrag=7,derived_kD=8,derived_thetaD=9, derived_zEQ =10, derived_keq =11, &
derived_thetaEQ=12, derived_theta_rs_EQ = 13
integer, parameter :: nthermo_derived = 13
real(dl) ThermoDerivedParams(nthermo_derived)
Type TBackgroundOutputs
real(dl), pointer :: z_outputs(:) => null()
real(dl), allocatable :: H(:), DA(:), rs_by_D_v(:)
end Type TBackgroundOutputs
Type(TBackgroundOutputs), save :: BackgroundOutputs
contains
subroutine CAMBParams_Set(P, error, DoReion)
use constants
type(CAMBparams), intent(in) :: P
real(dl) GetOmegak, fractional_number, conv
integer, optional :: error !Zero if OK
logical, optional :: DoReion
logical WantReion
integer nu_i,actual_massless
real(dl) nu_massless_degeneracy, neff_i
external GetOmegak
real(dl), save :: last_tau0
!Constants in SI units
global_error_flag = 0
if ((P%WantTensors .or. P%WantVectors).and. P%WantTransfer .and. .not. P%WantScalars) then
call GlobalError( 'Cannot generate tensor C_l and transfer without scalar C_l',error_unsupported_params)
end if
if (present(error)) error = global_error_flag
if (global_error_flag/=0) return
if (present(DoReion)) then
WantReion = DoReion
else
WantReion = .true.
end if
CP=P
if (call_again) CP%DerivedParameters = .false.
CP%Max_eta_k = max(CP%Max_eta_k,CP%Max_eta_k_tensor)
if (CP%WantTransfer) then
CP%WantScalars=.true.
if (.not. CP%WantCls) then
CP%AccuratePolarization = .false.
CP%Reion%Reionization = .false.
end if
else
CP%transfer%num_redshifts=0
end if
if (CP%Num_Nu_Massive /= sum(CP%Nu_mass_numbers(1:CP%Nu_mass_eigenstates))) then
if (sum(CP%Nu_mass_numbers(1:CP%Nu_mass_eigenstates))/=0) call MpiStop('Num_Nu_Massive is not sum of Nu_mass_numbers')
end if
if (CP%Omegan == 0 .and. CP%Num_Nu_Massive /=0) then
if (CP%share_delta_neff) then
CP%Num_Nu_Massless = CP%Num_Nu_Massless + CP%Num_Nu_Massive
else
CP%Num_Nu_Massless = CP%Num_Nu_Massless + sum(CP%Nu_mass_degeneracies(1:CP%Nu_mass_eigenstates))
end if
CP%Num_Nu_Massive = 0
CP%Nu_mass_numbers = 0
end if
nu_massless_degeneracy = CP%Num_Nu_massless !N_eff for massless neutrinos
if (CP%Num_nu_massive > 0) then
if (CP%Nu_mass_eigenstates==0) call MpiStop('Have Num_nu_massive>0 but no nu_mass_eigenstates')
if (CP%Nu_mass_eigenstates==1 .and. CP%Nu_mass_numbers(1)==0) CP%Nu_mass_numbers(1) = CP%Num_Nu_Massive
if (all(CP%Nu_mass_numbers(1:CP%Nu_mass_eigenstates)==0)) CP%Nu_mass_numbers=1 !just assume one for all
if (CP%share_delta_neff) then
!default case of equal heating of all neutrinos
fractional_number = CP%Num_Nu_massless + CP%Num_Nu_massive
actual_massless = int(CP%Num_Nu_massless + 1e-6_dl)
neff_i = fractional_number/(actual_massless + CP%Num_Nu_massive)
nu_massless_degeneracy = neff_i*actual_massless
CP%Nu_mass_degeneracies(1:CP%Nu_mass_eigenstates) = CP%Nu_mass_numbers(1:CP%Nu_mass_eigenstates)*neff_i
end if
if (abs(sum(CP%Nu_mass_fractions(1:CP%Nu_mass_eigenstates))-1) > 1e-4) &
call MpiStop('Nu_mass_fractions do not add up to 1')
else
CP%Nu_mass_eigenstates = 0
end if
if ((CP%WantTransfer).and. CP%MassiveNuMethod==Nu_approx) then
CP%MassiveNuMethod = Nu_trunc
end if
CP%omegak = GetOmegak()
CP%flat = (abs(CP%omegak) <= OmegaKFlat)
CP%closed = CP%omegak < -OmegaKFlat
CP%open = .not.CP%flat.and..not.CP%closed
if (CP%flat) then
CP%curv=0
CP%Ksign=0
CP%r=1._dl !so we can use tau/CP%r, etc, where CP%r's cancel
else
CP%curv=-CP%omegak/((c/1000)/CP%h0)**2
CP%Ksign =sign(1._dl,CP%curv)
CP%r=1._dl/sqrt(abs(CP%curv))
end if
! grho gives the contribution to the expansion rate from: (g) photons,
! (r) one flavor of relativistic neutrino (2 degrees of freedom),
! (m) nonrelativistic matter (for Omega=1). grho is actually
! 8*pi*G*rho/c^2 at a=1, with units of Mpc**(-2).
! a=tau(Mpc)*adotrad, with a=1 today, assuming 3 neutrinos.
! (Used only to set the initial conformal time.)
!H0 is in km/s/Mpc
grhom = 3*CP%h0**2/c**2*1000**2 !3*h0^2/c^2 (=8*pi*G*rho_crit/c^2)
!grhom=3.3379d-11*h0*h0
grhog = kappa/c**2*4*sigma_boltz/c**3*CP%tcmb**4*Mpc**2 !8*pi*G/c^2*4*sigma_B/c^3 T^4
! grhog=1.4952d-13*tcmb**4
grhor = 7._dl/8*(4._dl/11)**(4._dl/3)*grhog !7/8*(4/11)^(4/3)*grhog (per neutrino species)
!grhor=3.3957d-14*tcmb**4
! VS 2019 added DR equation
grhodr = 7._dl/8*(4._dl/11)**(4._dl/3)*grhog
!
!correction for fractional number of neutrinos, e.g. 3.04 to give slightly higher T_nu hence rhor
!for massive Nu_mass_degeneracies parameters account for heating from grhor
grhornomass=grhor*nu_massless_degeneracy
grhormass=0
do nu_i = 1, CP%Nu_mass_eigenstates
grhormass(nu_i)=grhor*CP%Nu_mass_degeneracies(nu_i)
end do
grhoc=grhom*CP%omegac
! VS 2019 2nd CDM species and DR
grhoc2=grhom*CP%omegac2
grhodr=grhom*CP%omegadr
!
grhob=grhom*CP%omegab
grhov=grhom*CP%omegav
grhok=grhom*CP%omegak
! adotrad gives the relation a(tau) in the radiation era:
! VS 2019 added DR
!adotrad = sqrt((grhog+grhornomass+sum(grhormass(1:CP%Nu_mass_eigenstates)))/3)
adotrad = sqrt((grhodr+grhog+grhornomass+sum(grhormass(1:CP%Nu_mass_eigenstates)))/3)
!
Nnow = CP%omegab*(1-CP%yhe)*grhom*c**2/kappa/m_H/Mpc**2
akthom = sigma_thomson*Nnow*Mpc
!sigma_T * (number density of protons now)
fHe = CP%YHe/(mass_ratio_He_H*(1.d0-CP%YHe)) !n_He_tot / n_H_tot
if (.not.call_again) then
call init_massive_nu(CP%omegan /=0)
call init_background
if (global_error_flag==0) then
CP%tau0=TimeOfz(0._dl)
! print *, 'chi = ', (CP%tau0 - TimeOfz(0.15_dl)) * CP%h0/100
last_tau0=CP%tau0
if (WantReion) call Reionization_Init(CP%Reion,CP%ReionHist, CP%YHe, akthom, CP%tau0, FeedbackLevel)
end if
else
CP%tau0=last_tau0
end if
!JD 08/13 Changes for nonlinear lensing of CMB + MPK compatibility
!if ( CP%NonLinear==NonLinear_Lens) then
if (CP%NonLinear==NonLinear_Lens .or. CP%NonLinear==NonLinear_both ) then
CP%Transfer%kmax = max(CP%Transfer%kmax, CP%Max_eta_k/CP%tau0)
if (FeedbackLevel > 0 .and. CP%Transfer%kmax== CP%Max_eta_k/CP%tau0) &
write (*,*) 'max_eta_k changed to ', CP%Max_eta_k
end if
if (CP%closed .and. CP%tau0/CP%r >3.14) then
call GlobalError('chi >= pi in closed model not supported',error_unsupported_params)
end if
if (global_error_flag/=0) then
if (present(error)) error = global_error_flag
return
end if
if (present(error)) then
error = 0
else if (FeedbackLevel > 0 .and. .not. call_again) then
write(*,'("Om_b h^2 = ",f9.6)') CP%omegab*(CP%H0/100)**2
write(*,'("Om_c h^2 = ",f9.6)') CP%omegac*(CP%H0/100)**2
! VS 2019 2nd CDM species and DR
write(*,'("Om_c2 h^2 = ",f9.6)') CP%omegac2*(CP%H0/100)**2
write(*,'("Om_dr h^2 = ",f9.6)') CP%omegadr*(CP%H0/100)**2
write(*,'("GamDCDM = ",f9.6)') CP%GamDCDM
!
write(*,'("Om_nu h^2 = ",f9.6)') CP%omegan*(CP%H0/100)**2
write(*,'("Om_Lambda = ",f9.6)') CP%omegav
write(*,'("Om_K = ",f9.6)') CP%omegak
write(*,'("Om_m (1-Om_K-Om_L) = ",f9.6)') 1-CP%omegak-CP%omegav
write(*,'("100 theta (CosmoMC) = ",f9.6)') 100*CosmomcTheta()
if (CP%Num_Nu_Massive > 0) then
write(*,'("N_eff (total) = ",f9.6)') nu_massless_degeneracy + &
sum(CP%Nu_mass_degeneracies(1:CP%Nu_mass_eigenstates))
do nu_i=1, CP%Nu_mass_eigenstates
conv = k_B*(8*grhor/grhog/7)**0.25*CP%tcmb/eV * &
(CP%nu_mass_degeneracies(nu_i)/CP%nu_mass_numbers(nu_i))**0.25 !approx 1.68e-4
write(*,'(I2, " nu, g=",f7.4," m_nu*c^2/k_B/T_nu0= ",f9.2," (m_nu= ",f6.3," eV)")') &
CP%nu_mass_numbers(nu_i), CP%nu_mass_degeneracies(nu_i), nu_masses(nu_i),conv*nu_masses(nu_i)
end do
end if
end if
CP%chi0=rofChi(CP%tau0/CP%r)
scale= CP%chi0*CP%r/CP%tau0 !e.g. change l sampling depending on approx peak spacing
end subroutine CAMBParams_Set
function GetTestTime()
real(sp) GetTestTime
real(sp) atime
! GetTestTime = etime(tarray)
!Can replace this if etime gives problems
!Or just comment out - only used if DebugMsgs = .true.
call cpu_time(atime)
GetTestTime = atime
end function GetTestTime
function rofChi(Chi) !sinh(chi) for open, sin(chi) for closed.
real(dl) Chi,rofChi
if (CP%closed) then
rofChi=sin(chi)
else if (CP%open) then
rofChi=sinh(chi)
else
rofChi=chi
endif
end function rofChi
function cosfunc (Chi)
real(dl) Chi,cosfunc
if (CP%closed) then
cosfunc= cos(chi)
else if (CP%open) then
cosfunc=cosh(chi)
else
cosfunc = 1._dl
endif
end function cosfunc
function tanfunc(Chi)
real(dl) Chi,tanfunc
if (CP%closed) then
tanfunc=tan(Chi)
else if (CP%open) then
tanfunc=tanh(Chi)
else
tanfunc=Chi
end if
end function tanfunc
function invsinfunc(x)
real(dl) invsinfunc,x
if (CP%closed) then
invsinfunc=asin(x)
else if (CP%open) then
invsinfunc=log((x+sqrt(1._dl+x**2)))
else
invsinfunc = x
endif
end function invsinfunc
function f_K(x)
real(dl) :: f_K
real(dl), intent(in) :: x
f_K = CP%r*rofChi(x/CP%r)
end function f_K
function DeltaTime(a1,a2, in_tol)
implicit none
real(dl) DeltaTime, atol
real(dl), intent(IN) :: a1,a2
real(dl), optional, intent(in) :: in_tol
real(dl) dtauda, rombint !diff of tau w.r.t a and integration
external dtauda, rombint
if (present(in_tol)) then
atol = in_tol
else
atol = tol/1000/exp(AccuracyBoost-1)
end if
DeltaTime=rombint(dtauda,a1,a2,atol)
end function DeltaTime
function TimeOfz(z)
implicit none
real(dl) TimeOfz
real(dl), intent(IN) :: z
TimeOfz=DeltaTime(0._dl,1._dl/(z+1._dl))
end function TimeOfz
subroutine TimeOfzArr(nz, redshifts, outputs)
integer, intent(in) :: nz
real(dl), intent(in) :: redshifts(nz)
real(dl), intent(out) :: outputs(nz)
integer i
!Dumb slow version
!$OMP PARALLEL DO DEFAUlT(SHARED)
do i=1, nz
outputs(i) = timeOfZ(redshifts(i))
end do
!$OMP END PARALLEL DO
end subroutine TimeOfzArr
function DeltaPhysicalTimeGyr(a1,a2, in_tol)
use constants
real(dl), intent(in) :: a1, a2
real(dl), optional, intent(in) :: in_tol
real(dl) rombint,DeltaPhysicalTimeGyr, atol
external rombint
if (present(in_tol)) then
atol = in_tol
else
atol = 1d-4/exp(AccuracyBoost-1)
end if
DeltaPhysicalTimeGyr = rombint(dtda,a1,a2,atol)*Mpc/c/Gyr
end function DeltaPhysicalTimeGyr
function AngularDiameterDistance(z)
!This is the physical (non-comoving) angular diameter distance in Mpc
real(dl) AngularDiameterDistance
real(dl), intent(in) :: z
AngularDiameterDistance = CP%r/(1+z)*rofchi(ComovingRadialDistance(z) /CP%r)
end function AngularDiameterDistance
subroutine AngularDiameterDistanceArr(arr, z, n)
!This is the physical (non-comoving) angular diameter distance in Mpc for array of z
!z array must be monotonically increasing
integer,intent(in) :: n
real(dl), intent(out) :: arr(n)
real(dl), intent(in) :: z(n)
integer i
call ComovingRadialDistanceArr(arr, z, n, 1e-4_dl)
if (CP%flat) then
arr = arr/(1+z)
else
do i=1, n
arr(i) = CP%r/(1+z(i))*rofchi(arr(i)/CP%r)
end do
end if
end subroutine AngularDiameterDistanceArr
function AngularDiameterDistance2(z1, z2) ! z1 < z2
!From http://www.slac.stanford.edu/~amantz/work/fgas14/#cosmomc
real(dl) AngularDiameterDistance2
real(dl), intent(in) :: z1, z2
AngularDiameterDistance2 = CP%r/(1+z2)*rofchi(ComovingRadialDistance(z2)/CP%r - ComovingRadialDistance(z1)/CP%r)
end function AngularDiameterDistance2
function LuminosityDistance(z)
real(dl) LuminosityDistance
real(dl), intent(in) :: z
LuminosityDistance = AngularDiameterDistance(z)*(1+z)**2
end function LuminosityDistance
function ComovingRadialDistance(z)
real(dl) ComovingRadialDistance
real(dl), intent(in) :: z
ComovingRadialDistance = DeltaTime(1/(1+z),1._dl)
end function ComovingRadialDistance
subroutine ComovingRadialDistanceArr(arr, z, n, tol)
!z array must be monotonically increasing
integer, intent(in) :: n
real(dl), intent(out) :: arr(n)
real(dl), intent(in) :: z(n)
real(dl), intent(in) :: tol
integer i
!$OMP PARALLEL DO DEFAULT(SHARED),SCHEDULE(STATIC)
do i = 1, n
if (i==1) then
if (z(i) < 1e-6_dl) then
arr(i) = 0
else
arr(i) = DeltaTime(1/(1+z(i)),1._dl, tol)
end if
else
if (z(i) < z(i-1)) error stop 'ComovingRadialDistanceArr redshifts out of order'
arr(i) = DeltaTime(1/(1+z(i)),1/(1+z(i-1)),tol)
end if
end do
!$OMP END PARALLEL DO
do i = 2, n
arr(i) = arr(i) + arr(i-1)
end do
end subroutine ComovingRadialDistanceArr
function Hofz(z)
!non-comoving Hubble in MPC units, divide by MPC_in_sec to get in SI units
!multiply by c/1e3 to get in km/s/Mpc units
real(dl) Hofz, dtauda,a
real(dl), intent(in) :: z
external dtauda
a = 1/(1+z)
Hofz = 1/(a**2*dtauda(a))
end function Hofz
subroutine HofzArr(arr, z, n)
!non-comoving Hubble in MPC units, divide by MPC_in_sec to get in SI units
!multiply by c/1e3 to get in km/s/Mpc units
integer,intent(in) :: n
real(dl), intent(out) :: arr(n)
real(dl), intent(in) :: z(n)
integer i
do i=1, n
arr(i) = Hofz(z(i))
end do
end subroutine HofzArr
real(dl) function BAO_D_v_from_DA_H(z, DA, Hz)
real(dl), intent(in) :: z, DA, Hz
real(dl) ADD
ADD = DA*(1.d0+z)
BAO_D_v_from_DA_H = ((ADD)**2.d0*z/Hz)**(1.d0/3.d0)
end function BAO_D_v_from_DA_H
real(dl) function BAO_D_v(z)
real(dl), intent(IN) :: z
BAO_D_v = BAO_D_v_from_DA_H(z,AngularDiameterDistance(z), Hofz(z))
end function BAO_D_v
function dsound_da_exact(a)
implicit none
real(dl) dsound_da_exact,dtauda,a,R,cs
external dtauda
R = 3*grhob*a / (4*grhog)
cs=1.0d0/sqrt(3*(1+R))
dsound_da_exact=dtauda(a)*cs
end function dsound_da_exact
function dsound_da(a)
!approximate form used e.g. by CosmoMC for theta
implicit none
real(dl) dsound_da,dtauda,a,R,cs
external dtauda
R=3.0d4*a*CP%omegab*(CP%h0/100.0d0)**2
! R = 3*grhob*a / (4*grhog) //above is mostly within 0.2% and used for previous consistency
cs=1.0d0/sqrt(3*(1+R))
dsound_da=dtauda(a)*cs
end function dsound_da
function dtda(a)
real(dl) dtda,dtauda,a
external dtauda
dtda= dtauda(a)*a
end function
function CosmomcTheta()
real(dl) zstar, astar, atol, rs, DA
real(dl) CosmomcTheta
real(dl) ombh2, omdmh2
real(dl) rombint
external rombint
ombh2 = CP%omegab*(CP%h0/100.0d0)**2
! VS 8/5/19 2nd CDM species
!omdmh2 = (CP%omegac+CP%omegan)*(CP%h0/100.0d0)**2
omdmh2 = (CP%omegac+CP%omegac2+CP%omegan)*(CP%h0/100.0d0)**2
!
!!From Hu & Sugiyama
zstar = 1048*(1+0.00124*ombh2**(-0.738))*(1+ &
(0.0783*ombh2**(-0.238)/(1+39.5*ombh2**0.763)) * &
(omdmh2+ombh2)**(0.560/(1+21.1*ombh2**1.81)))
astar = 1/(1+zstar)
atol = 1e-6
rs = rombint(dsound_da,1d-8,astar,atol)
DA = AngularDiameterDistance(zstar)/astar
CosmomcTheta = rs/DA
! print *,'z* = ',zstar, 'r_s = ',rs, 'DA = ',DA, rs/DA
end function CosmomcTheta
end module ModelParams
!ccccccccccccccccccccccccccccccccccccccccccccccccccc
module lvalues
use precision
use ModelParams
implicit none
public
Type lSamples
integer l0
integer l(lmax_arr)
end Type lSamples
Type(lSamples) :: lSamp
!Sources
logical :: Log_lvalues = .false.
contains
function lvalues_indexOf(lSet,l)
type(lSamples) :: lSet
integer, intent(in) :: l
integer lvalues_indexOf, i
do i=2,lSet%l0
if (l < lSet%l(i)) then
lvalues_indexOf = i-1
return
end if
end do
lvalues_indexOf = lSet%l0
end function lvalues_indexOf
subroutine initlval(lSet,max_l)
! This subroutines initializes lSet%l arrays. Other values will be interpolated.
implicit none
type(lSamples) :: lSet
integer, intent(IN) :: max_l
integer lind, lvar, step,top,bot,ls(lmax_arr)
real(dl) AScale
Ascale=scale/lSampleBoost
if (lSampleBoost >=50) then
!just do all of them
lind=0
do lvar=lmin, max_l
lind=lind+1
ls(lind)=lvar
end do
lSet%l0=lind
lSet%l(1:lind) = ls(1:lind)
return
end if
lind=0
do lvar=lmin, 10
lind=lind+1
ls(lind)=lvar
end do
if (CP%AccurateReionization) then
if (lSampleBoost > 1) then
do lvar=11, 37,1
lind=lind+1
ls(lind)=lvar
end do
else
do lvar=11, 37,2
lind=lind+1
ls(lind)=lvar
end do
end if
step = max(nint(5*Ascale),2)
bot=40
top=bot + step*10
else
if (lSampleBoost >1) then
do lvar=11, 15
lind=lind+1
ls(lind)=lvar
end do
else
lind=lind+1
ls(lind)=12
lind=lind+1
ls(lind)=15
end if
step = max(nint(10*Ascale),3)
bot=15+max(step/2,2)
top=bot + step*7
end if
do lvar=bot, top, step
lind=lind+1
ls(lind)=lvar
end do
!Sources
if (Log_lvalues) then
!Useful for generating smooth things like 21cm to high l
step=max(nint(20*Ascale),4)
do
lvar = lvar + step
if (lvar > max_l) exit
lind=lind+1
ls(lind)=lvar
step = nint(step*1.2) !log spacing
end do
else
step=max(nint(20*Ascale),4)
bot=ls(lind)+step
top=bot+step*2
do lvar = bot,top,step
lind=lind+1
ls(lind)=lvar
end do
if (ls(lind)>=max_l) then
do lvar=lind,1,-1
if (ls(lvar)<=max_l) exit
end do
lind=lvar
if (ls(lind)<max_l) then
lind=lind+1
ls(lind)=max_l
end if
else
step=max(nint(25*Ascale),4)
!Get EE right around l=200 by putting extra point at 175
bot=ls(lind)+step
top=bot+step
do lvar = bot,top,step
lind=lind+1
ls(lind)=lvar
end do
if (ls(lind)>=max_l) then
do lvar=lind,1,-1
if (ls(lvar)<=max_l) exit
end do
lind=lvar
if (ls(lind)<max_l) then
lind=lind+1
ls(lind)=max_l
end if
else
if (HighAccuracyDefault .and. .not. use_spline_template) then
step=max(nint(42*Ascale),7)
else
step=max(nint(50*Ascale),7)
end if
bot=ls(lind)+step
top=min(5000,max_l)
do lvar = bot,top,step
lind=lind+1
ls(lind)=lvar
end do
if (max_l > 5000) then
!Should be pretty smooth or tiny out here
step=max(nint(400*Ascale),50)
lvar = ls(lind)
do
lvar = lvar + step
if (lvar > max_l) exit
lind=lind+1
ls(lind)=lvar
step = nint(step*1.5) !log spacing
end do
end if
!Sources
end if !log_lvalues
if (ls(lind) /=max_l) then
lind=lind+1
ls(lind)=max_l
end if
if (.not. CP%flat) ls(lind-1)=int(max_l+ls(lind-2))/2
!Not in CP%flat case so interpolation table is the same when using lower l_max
end if
end if
lSet%l0=lind
lSet%l(1:lind) = ls(1:lind)
end subroutine initlval
subroutine InterpolateClArr(lSet,iCl, all_Cl, max_ind)
type (lSamples), intent(in) :: lSet
real(dl), intent(in) :: iCl(*)
real(dl), intent(out):: all_Cl(lmin:*)
integer, intent(in) :: max_ind
integer il,llo,lhi, xi
real(dl) ddCl(lSet%l0)
real(dl) xl(lSet%l0)
real(dl) a0,b0,ho
real(dl), parameter :: cllo=1.e30_dl,clhi=1.e30_dl
if (max_ind > lSet%l0) call MpiStop('Wrong max_ind in InterpolateClArr')
xl = real(lSet%l(1:lSet%l0),dl)
call spline(xl,iCL(1),max_ind,cllo,clhi,ddCl(1))
llo=1
do il=lmin,lSet%l(max_ind)
xi=il
if ((xi > lSet%l(llo+1)).and.(llo < max_ind)) then
llo=llo+1
end if
lhi=llo+1
ho=lSet%l(lhi)-lSet%l(llo)
a0=(lSet%l(lhi)-xi)/ho