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diff -rcBN cosmomc/camb/Makefile_main_modpk modecode/camb/Makefile_main_modpk
*** cosmomc/camb/Makefile_main_modpk 1969-12-31 19:00:00.000000000 -0500
--- modecode/camb/Makefile_main_modpk 2010-07-19 15:41:48.000000000 -0400
***************
*** 0 ****
--- 1,75 ----
+
+ #Files containing evolution equations initial power spectrum module
+ EQUATIONS = equations
+ POWERSPECTRUM = power_tilt
+ REIONIZATION = reionization
+ RECOMBINATION = recfast
+ MODULES = modules
+ CMBMAIN = cmbmain
+ CAMBFILE = camb
+
+ #Module doing non-linear scaling
+ NONLINEAR = halofit
+
+ #Driver program
+ DRIVER = inidriver.F90
+ #DRIVER = sigma8.f90
+ #DRIVER = tester.f90
+
+ #Driver for standalone P(k) code
+ PKDRIVER = driver_modpk.f90
+
+ CAMBLIB = libcamb.a
+
+ #Shouldn't need to change anything else...
+
+ F90FLAGS = $(FFLAGS)
+ HEALPIXLD = -L$(HEALPIXDIR)/lib -lhealpix -L$(FITSDIR) -l$(FITSLIB)
+
+ CAMBOBJ = constants.o utils.o subroutines.o inifile.o \
+ $(POWERSPECTRUM).o $(RECOMBINATION).o $(REIONIZATION).o $(MODULES).o \
+ bessels.o $(EQUATIONS).o $(NONLINEAR).o lensing.o $(CMBMAIN).o $(CAMBFILE).o
+
+ MODPKOBJ = modpk_modules.o modpk_potential.o modpk_utils.o modpk_odeint.o \
+ modpk_backgrnd.o modpk.o
+
+ default: camb
+
+ all: camb $(CAMBLIB) powspec
+
+
+ subroutines.o: constants.o utils.o
+ $(POWERSPECTRUM).o: subroutines.o inifile.o
+ $(RECOMBINATION).o: subroutines.o inifile.o
+ $(REIONIZATION).o: constants.o inifile.o
+ $(MODULES).o: $(REIONIZATION).o $(RECOMBINATION).o $(POWERSPECTRUM).o
+ bessels.o: $(MODULES).o
+ $(EQUATIONS).o: bessels.o
+ $(NONLINEAR).o: $(MODULES).o
+ lensing.o: bessels.o
+ $(CMBMAIN).o: lensing.o $(NONLINEAR).o $(EQUATIONS).o
+ $(CAMBFILE).o: $(CMBMAIN).o
+
+
+ camb: $(MODPKOBJ) $(CAMBOBJ) $(DRIVER)
+ $(F90C) $(F90FLAGS) $(MODPKOBJ) $(CAMBOBJ) $(DRIVER) -o $@
+
+ $(CAMBLIB): $(MODPKOBJ) $(CAMBOBJ)
+ ar -r $@ $?
+
+ camb_fits: writefits.f90 $(CAMBOBJ) $(DRIVER)
+ $(F90C) $(F90FLAGS) -I$(HEALPIXDIR)/include $(CAMBOBJ) writefits.f90 $(DRIVER) $(HEALPIXLD) -DWRITE_FITS -o $@
+
+ powspec : $(MODPKOBJ) $(PKDRIVER)
+ $(F90C) $(F90FLAGS) $(MODPKOBJ) $(PKDRIVER) -o $@
+
+ %.o: %.f90
+ $(F90C) $(F90FLAGS) -c $*.f90
+
+ utils.o:
+ $(F90C) $(F90FLAGS) -c utils.F90
+
+ clean:
+ -rm -f *.o *.a *.d core *.mod
+
+
diff -rcBN cosmomc/camb/driver_modpk.f90 modecode/camb/driver_modpk.f90
*** cosmomc/camb/driver_modpk.f90 1969-12-31 19:00:00.000000000 -0500
--- modecode/camb/driver_modpk.f90 2010-07-19 15:41:48.000000000 -0400
***************
*** 0 ****
--- 1,59 ----
+ PROGRAM driver_modpk
+ USE camb_interface
+ USE modpkparams
+ USE access_modpk, ONLY: potinit, evolve
+ IMPLICIT NONE
+ INTEGER*4 :: i
+ DOUBLE PRECISION :: kin, pow, powt, kmin, kmax, dlnk, pmin, pmax
+ DOUBLE PRECISION :: pspivot, ptpivot
+ DOUBLE PRECISION :: ps0, ps1, ps2, pt0, pt1, pt2
+
+ potential_choice = 2
+ vparams_num = 2
+ vnderivs=.false.
+
+ slowroll_infl_end =.true.
+ instreheat=.false.
+ phi_infl_end=0.
+
+ kmin = log(5.d-4)
+ kmax = log(5.d0)
+
+ vparams(1) = -2.2
+ vparams(2) = 0.8
+
+ phi_init0 = 20.
+ k_pivot=0.05d0
+ N_pivot=55.d0
+ findiffdphi = epsilon(1.d0)
+
+ CALL potinit()
+
+ IF(pk_bad==0) THEN
+
+ call evolve(k_pivot,pspivot,ptpivot)
+
+ DO i=1,500
+ kin=exp(kmin+REAL(i)*(kmax-kmin)/REAL(500-1))
+ CALL evolve(kin,pow,powt)
+ WRITE(*,*) kin,pow,powt
+ END DO
+
+ dlnk = 0.1d0
+ call evolve(k_pivot,ps1,pt1)
+ write(*,*)
+ write(*,*) 'A_s =', ps1
+ write(*,*) 'r =', pt1/ps1
+ call evolve(k_pivot,ps0,pt0)
+ call evolve(k_pivot*exp(-dlnk),ps1,pt1)
+ call evolve(k_pivot*exp(dlnk),ps2,pt2)
+ write(*,*) 'n_s =', 1.d0+log(ps2/ps1)/dlnk/2.d0
+ write(*,*) 'n_t =', log(pt2/pt1)/dlnk/2.d0
+ write(*,*) 'dn_s/dlnk =', log(ps1*ps2/ps0**2)/dlnk**2
+
+ ELSE
+ write(*,*) 'pk_bad =', pk_bad
+ ENDIF
+
+ STOP
+ END PROGRAM driver_modpk
diff -rcBN cosmomc/camb/modpk.f90 modecode/camb/modpk.f90
*** cosmomc/camb/modpk.f90 1969-12-31 19:00:00.000000000 -0500
--- modecode/camb/modpk.f90 2010-07-19 15:41:48.000000000 -0400
***************
*** 0 ****
--- 1,130 ----
+ MODULE access_modpk
+ USE camb_interface
+ IMPLICIT NONE
+ PRIVATE
+ PUBLIC :: potinit, evolve
+
+ ! Number of k values for computing spline of P(k).
+ ! Set to lower numbers for smoother potentials.
+ INTEGER*4, PARAMETER, PUBLIC :: pkspline_n = 500
+
+ DOUBLE PRECISION, PARAMETER, PUBLIC :: pkspline_kmin = log(1.d-5), pkspline_kmax = log(5.d0)
+ DOUBLE PRECISION, PUBLIC :: pkspline_k(pkspline_n), pkspline_p(pkspline_n), &
+ pkspline_p2der(pkspline_n), pkspline_pt(pkspline_n), &
+ pkspline_pt2der(pkspline_n)
+
+ CONTAINS
+
+ SUBROUTINE potinit()
+ USE modpkparams
+ USE powersp
+ USE background_evolution, ONLY : backgrnd
+ USE potential, ONLY : initialphi
+ IMPLICIT NONE
+ DOUBLE PRECISION :: k,klo,khi
+
+ k_start=1.d2
+ eval_ps=1.d2
+ !
+ ! Solve the background equations
+ !
+ pk_bad = 0
+ phi_init = initialphi(phi_init0)
+ CALL backgrnd
+ RETURN
+ END SUBROUTINE potinit
+
+ SUBROUTINE evolve(kin, pow, powt)
+ USE modpk_odeint
+ USE ode_path
+ USE modpkparams
+ USE internals
+ USE powersp
+ USE potential, ONLY: pot,powerspectrum, dVdphi, getH, getHdot
+ USE modpk_utils, ONLY : locate, polint, derivs, rkqs
+ IMPLICIT NONE
+ INTEGER*4, PARAMETER :: NVAR=10
+ INTEGER*4 :: i,j
+ DOUBLE PRECISION :: accuracy,h1,hmin,x1,x2
+ DOUBLE PRECISION, DIMENSION(NVAR) :: y
+ DOUBLE PRECISION, INTENT(IN) :: kin
+ DOUBLE PRECISION, INTENT(OUT) :: pow, powt
+ DOUBLE PRECISION :: dum,ah,alpha_ik,dalpha,dh,p_ik,delp
+ !
+ ! Set initial conditions
+ !
+ ! y(1)=phi dydx(1)=dphi/dalpha
+ ! y(2)=dphi/dalpha dydx(2)=d^2phi/dalpha^2
+ ! y(3)=u1 dydx(3)=du1/dalpha
+ ! y(4)=du1/dalpha dydx(4)=d^2u1/dalpha^2
+ ! y(5)=u2 dydx(5)=du2/dalpha
+ ! y(6)=du2/dalpha dydx(6)=d^2u2/dalpha^2
+ k=kin*Mpc2Mpl
+
+ ah=LOG(k/k_start)
+ i= locate(aharr, ah)
+ IF(i.eq.0.) THEN
+ PRINT*,'MODPK: The background solution worked, but the k you requested is outside'
+ PRINT*,'MODPK: the bounds of the background you solved for. Please reconsider'
+ PRINT*,'MODPK: your phi_init and N_pivot combo.'
+ PRINT*,'MODPK: QUITTING'
+ STOP
+ END IF
+ j=MIN(MAX(i-(4-1)/2,1),nactual+1-4)
+ CALL polint(aharr(j:j+4), phiarr(j:j+4), ah, p_ik, delp)
+ CALL polint(aharr(j:j+4), lna(j:j+4), ah, alpha_ik, dalpha)
+ CALL polint(aharr(j:j+4), hubarr(j:j+4), ah, h_ik, dh)
+ a_ik=EXP(alpha_ik)*a_init
+ x1=alpha_ik
+ IF(x1.le.0.) THEN
+ PRINT*,'MODPK: The phi_init you specified is too small to give'
+ PRINT*,'MODPK: sufficient efolds of inflation. We cannot self-consistently'
+ PRINT*,'MODPK: solve this for you. Please adjust phi_init and try again.'
+ PRINT*,'MODPK: QUITTING'
+ STOP
+ END IF
+ IF(delp .GT. 0.1 .OR. dalpha .GT. 0.1 .OR. dh .GT. 0.1) THEN
+ PRINT*,'MODPK: The interpolation in SUBROUTINE EVOLVE has suspiciously large'
+ PRINT*,'MODPK: errors. Your model smells fishy.'
+ PRINT*,'MODPK: QUITTING'
+ STOP
+ ENDIF
+
+ 20 CONTINUE
+
+ y(1)=p_ik !phi(x1)
+ y(2)=-dVdphi(p_ik)/3./h_ik/h_ik !dphi/dalpha(x1) slowroll approx
+ y(3)=1. !u1(x1)
+ y(4)=0. !du1/dalpha(x1)
+ y(5)=0. !u2(x1)
+ y(6)=1. !du2/dalpha(x2)
+ y(7)=1. !v1(x1)
+ y(8)=0. !dv1/dalpha(x1)
+ y(9)=0. !v2(x1)
+ y(10)=1. !dv2/dalpha(x2)
+ !
+ ! Call the integrator
+ !
+ ode_underflow=.FALSE.
+ ode_ps_output=.TRUE.
+ ode_infl_end=.FALSE.
+ save_steps=.FALSE.
+ pk_bad=0
+ x2=Nefold_max !ending value
+ h1=0.1 !guessed start stepsize
+ accuracy=5.0d-6 !has a big impact on the speed of the code
+ hmin=0.0 !minimum stepsize
+ CALL odeint(y,x1,x2,accuracy,h1,hmin,derivs,rkqs)
+ IF(.NOT. ode_underflow) THEN
+ pow=pow_ik
+ powt=powt_ik
+ ELSE
+ pow=0.
+ powt=0.
+ pk_bad=1
+ ENDIF
+
+ RETURN
+ END SUBROUTINE evolve
+
+ END MODULE access_modpk
diff -rcBN cosmomc/camb/modpk_backgrnd.f90 modecode/camb/modpk_backgrnd.f90
*** cosmomc/camb/modpk_backgrnd.f90 1969-12-31 19:00:00.000000000 -0500
--- modecode/camb/modpk_backgrnd.f90 2010-07-19 15:41:48.000000000 -0400
***************
*** 0 ****
--- 1,219 ----
+ MODULE background_evolution
+ USE camb_interface
+ USE modpkparams
+ USE modpk_odeint
+ USE ode_path
+ USE powersp
+ USE potential, ONLY : pot,getH, getHdot, dVdphi, getEps
+ USE modpk_utils, ONLY : locate, polint, bderivs, rkqs
+ IMPLICIT NONE
+ PUBLIC :: backgrnd
+ CONTAINS
+ SUBROUTINE backgrnd
+ INTEGER*4 :: i,j, rescl_count
+ DOUBLE PRECISION :: phi_init_trial
+ DOUBLE PRECISION :: alpha_e,dalpha,V_end,dv,dh,ep
+ DOUBLE PRECISION :: a_end, a_end_inst
+ DOUBLE PRECISION ::V_i, ph, H_pivot, alpha_pivot,aa,bb
+ DOUBLE PRECISION :: epsarr(nsteps),vv(nsteps)
+ DOUBLE PRECISION :: Np_last
+ !
+ ! Set initial conditions
+ !
+ ! y(1)=phi dydx(1)=dphi/dx
+ ! y(2)=dphi/dx dydx(1)=d^2phi/dx^2
+
+ phidot_sign = -(dVdphi(phi_init))/ABS(dVdphi(phi_init))
+
+ !if < 0 field rolls from large to small
+ !if > 0, the field rolls from small to large
+
+ !Check whether phi_infl_end is in the correct direction from phi_init
+ IF(.NOT.(slowroll_infl_end)) THEN
+ IF (phidot_sign .GT.0 .AND. phi_init.GE.phi_infl_end) THEN
+ PRINT*, 'MODPK: Initial phi is smaller than final phi.'
+ PRINT*, 'MODPK: Please check your initial conditions'
+ PRINT*, 'MODPK: QUITTING'
+ STOP
+ ENDIF
+ IF (phidot_sign .LT.0 .AND. phi_init.LE.phi_infl_end) THEN
+ PRINT*, 'MODPK: Initial phi is larger than final phi.'
+ PRINT*, 'MODPK: Please check your initial conditions'
+ PRINT*, 'MODPK: QUITTING'
+ STOP
+ ENDIF
+
+ ENDIF
+
+ !Try the background evolution for a user-defined phi_init and rescale if necessary
+ rescl_count=0
+ rescale_factor = 0.1d0
+
+ DO
+ phi_init_trial=phi_init
+ CALL trial_background(phi_init_trial, alpha_e, V_end)
+ IF ((pk_bad/=0) .OR. phi_init_trial.EQ.phi_init) EXIT
+ rescl_count=rescl_count+1
+ IF (rescl_count .EQ. 50) THEN
+ pk_bad=2
+ PRINT*,'MODPK: phi_init rescaling did not work after 50 tries.'
+ EXIT
+ END IF
+ PRINT*,'MODPK: Warning: Your phi_init was inconsistent. Rescaling.'
+ PRINT*,'MODPK: rescaled phi_init=',phi_init_trial
+ phi_init=phi_init_trial
+ END DO
+
+ IF(pk_bad==0) THEN
+ !Matching condition
+ V_i=pot(phi_init)
+ IF (instreheat) THEN
+ a_init=EXP(-71.1d0-alpha_e+LOG(V_i/V_end)/4.d0+LOG((M_Pl**4)/V_i)/4.d0)
+ WRITE(*,*) 'a_end =',EXP(alpha_e)*a_init
+ Np_last = 0.5d0*N_pivot
+ do while (abs(N_pivot-Np_last)>0.01d0)
+ Np_last = N_pivot
+ alpha_pivot = alpha_e-N_pivot
+ i=locate(lna(1:nactual),alpha_pivot)
+ j=MIN(MAX(i-(4-1)/2,1),nactual+1-4)
+ CALL polint(lna(j:j+4), hubarr(j:j+4), alpha_pivot, H_pivot, dh)
+ N_pivot = -71.1d0-log(V_end/(M_Pl**4))/4.d0-log(k_pivot*Mpc2Mpl/H_pivot)
+ end do
+ WRITE(*,*) 'N_e(pivot) =',N_pivot
+ WRITE(*,*) 'H_pivot=',H_pivot
+ WRITE(*,*) 'a_pivot =',EXP(alpha_pivot)*a_init
+ ELSE
+ alpha_pivot = alpha_e-N_pivot
+ i=locate(lna(1:nactual),alpha_pivot)
+ j=MIN(MAX(i-(4-1)/2,1),nactual+1-4)
+ CALL polint(lna(j:j+4), hubarr(j:j+4), alpha_pivot, H_pivot, dh)
+ CALL polint(lna(j:j+4), phiarr(j:j+4), alpha_pivot, aa, bb)
+ a_init=k_pivot*Mpc2Mpl/H_pivot/EXP(alpha_pivot)
+ WRITE(*,*) 'alpha(pivot) =',alpha_pivot
+ WRITE(*,*) 'N_e(pivot) =',alpha_e-alpha_pivot
+ WRITE(*,*) 'phi(pivot)=', aa
+ WRITE(*,*) 'H_pivot=',H_pivot
+ WRITE(*,*) 'a_pivot =',EXP(alpha_pivot)*a_init
+ WRITE(*,*) 'a_end =',EXP(alpha_e)*a_init
+ a_end=EXP(alpha_e)*a_init
+ a_end_inst=EXP(-71.1d0+LOG(V_i/V_end)/4.d0+LOG((M_Pl**4)/V_i)/4.d0)
+ IF (a_end .GT. a_end_inst) THEN
+ PRINT*,'MODPK: inflation ends too late with this N_pivot.'
+ pk_bad=3
+ RETURN
+ ENDIF
+ END IF
+ WRITE(*,*) 'a_init =', a_init
+
+ DO i=1,nactual
+ aharr(i)=LOG(a_init*EXP(lna(i))*hubarr(i))
+ END DO
+ ENDIF
+
+ RETURN
+ END SUBROUTINE backgrnd
+
+ SUBROUTINE trial_background(phi_init_trial, alpha_e, V_end)
+ INTEGER*4 :: i,j
+ INTEGER*4, PARAMETER :: BNVAR=2
+ DOUBLE PRECISION :: accuracy,h1,hmin,x1,x2
+ DOUBLE PRECISION :: alpha_e,dalpha,V_end,dv,ep, phi_init_trial
+ DOUBLE PRECISION :: ph, H_pivot, alpha_pivot,aa,bb
+ DOUBLE PRECISION :: epsarr(nsteps),vv(nsteps)
+ DOUBLE PRECISION, DIMENSION(BNVAR) :: y
+
+
+ h_init=SQRT(pot(phi_init_trial)/6./M_Pl/M_Pl*(1.+SQRT(1.+2./3.* &
+ & (M_Pl*dVdphi(phi_init_trial)/pot(phi_init_trial))**2.)))
+ x1=0.0 !starting value
+ x2=Nefold_max !ending value
+ y(1)=phi_init_trial !phi(x1)
+ y(2)=-dVdphi(phi_init_trial)/3./h_init/h_init !dphi/dalpha(x1) slowroll approx
+ !
+ ! Call the integrator
+ !
+ ode_underflow=.FALSE.
+ ode_ps_output=.FALSE.
+ ode_infl_end=.TRUE.
+ save_steps=.TRUE.
+ pk_bad=0
+
+ IF(getEps(y(1),y(2)) .GT. 1.) THEN
+ slowroll_start=.FALSE.
+ ELSE
+ slowroll_start=.TRUE.
+ ENDIF
+
+ !guessed start stepsize
+ if (potential_choice.eq.6) then
+ h1 = 0.001
+ else
+ h1 = 0.1
+ end if
+ dxsav=1.d-7
+ accuracy=1.0d-7
+ hmin=0.0 !minimum stepsize
+ CALL odeint(y,x1,x2,accuracy,h1,hmin,bderivs,rkqs)
+
+ IF(.NOT. ode_underflow) THEN
+ lna(1:kount)=xp(1:kount)
+ phiarr(1:kount)=yp(1,1:kount)
+ dphiarr(1:kount)=yp(2,1:kount)
+ DO i=1,kount
+ vv(i)=pot(phiarr(i))
+ hubarr(i)=getH(phiarr(i),dphiarr(i))
+ epsarr(i) = getEps(phiarr(i),dphiarr(i))
+ END DO
+ !
+ ! Determine the parameters needed for converting k(Mpc^-1) to K
+ !
+ nactual=kount
+ IF(slowroll_infl_end) THEN
+ ep=1.d0
+ i=locate(epsarr(1:kount),ep)
+ j=MIN(MAX(i-(4-1)/2,1),nactual+1-4)
+ CALL polint(epsarr(j:j+4), lna(j:j+4), ep, alpha_e, dalpha)
+ CALL polint(epsarr(j:j+4), vv(j:j+4), ep, V_end, dv)
+ CALL polint(epsarr(j:j+4), phiarr(j:j+4), ep, phi_infl_end, bb)
+ ELSE
+ ep=phi_infl_end
+ i=locate(phiarr(1:kount),ep)
+ j=MIN(MAX(i-(4-1)/2,1),nactual+1-4)
+ CALL polint(phiarr(j:j+4), lna(j:j+4), ep, alpha_e, dalpha)
+ CALL polint(phiarr(j:j+4), vv(j:j+4), ep, V_end, dv)
+ ENDIF
+ WRITE(*,*) 'phi(N_end)=', phi_infl_end
+
+ IF (instreheat) THEN
+ !Set a plausible pivot (ignoring logarithmic V_k and V_end terms) for
+ !the smallest k likely to be requested by CAMB.
+ N_pivot=-LOG10(1.d-6)+60.
+ ENDIF
+
+ IF(alpha_e.LT.(N_pivot+20.)) THEN
+ IF ((potential_choice.eq.6).and.(vparams(1)<-2.d0)) THEN
+ phi_init_trial = phi_init*0.9d0
+ ELSE
+ phi_init_trial=phi_init+(phi_init-phi_infl_end)*rescale_factor
+ ENDIF
+ RETURN
+ END IF
+
+ IF (alpha_e.GT.N_pivot+55) THEN
+ ep=alpha_e-(N_pivot+50)
+ i=locate(lna(1:kount),ep)
+ j=MIN(MAX(i-(4-1)/2,1),nactual+1-4)
+ CALL polint(lna(j:j+4), phiarr(j:j+4), ep, aa, bb)
+ phi_init_trial=aa
+ RETURN
+ END IF
+
+ ELSE
+ pk_bad=4
+ ENDIF
+
+ RETURN
+ END SUBROUTINE TRIAL_BACKGROUND
+
+
+ END MODULE BACKGROUND_EVOLUTION
diff -rcBN cosmomc/camb/modpk_modules.f90 modecode/camb/modpk_modules.f90
*** cosmomc/camb/modpk_modules.f90 1969-12-31 19:00:00.000000000 -0500
--- modecode/camb/modpk_modules.f90 2010-07-19 15:41:48.000000000 -0400
***************
*** 0 ****
--- 1,63 ----
+ MODULE camb_interface
+ INTEGER :: pk_bad
+ LOGICAL :: pk_initialized
+ END MODULE camb_interface
+
+ MODULE ode_path
+ INTEGER*4 :: nok,nbad,kount
+ LOGICAL, SAVE :: save_steps=.false.
+ LOGICAL :: ode_underflow
+ LOGICAL :: ode_ps_output
+ LOGICAL :: ode_infl_end
+ LOGICAL :: infl_ended
+ DOUBLE PRECISION :: dxsav
+ DOUBLE PRECISION, DIMENSION(:), POINTER :: xp
+ DOUBLE PRECISION, DIMENSION(:,:), POINTER :: yp
+ END MODULE ode_path
+
+ MODULE modpkparams
+ IMPLICIT NONE
+
+ LOGICAL :: use_modpk, vnderivs, instreheat
+
+ ! increase max_vparams to use more potential parameters
+ INTEGER*4, parameter :: max_vparams = 9
+
+ INTEGER :: vparams_num
+ INTEGER :: potential_choice
+ DOUBLE PRECISION :: vparams(max_vparams)
+
+ INTEGER*4 :: nactual
+ INTEGER*4, PARAMETER :: nsteps=10000
+ DOUBLE PRECISION, PARAMETER :: M_Pl=1.0d0
+ DOUBLE PRECISION, PARAMETER :: Mpc2Mpl=2.6245d-57
+ DOUBLE PRECISION :: k_pivot, N_pivot
+ DOUBLE PRECISION :: a_init
+ DOUBLE PRECISION :: phi_init0,phi_init,h_init,rescale_factor
+ DOUBLE PRECISION :: phidot_sign
+ DOUBLE PRECISION :: Nefold_max=10000.
+ DOUBLE PRECISION :: lna(nsteps),phiarr(nsteps),dphiarr(nsteps)
+ DOUBLE PRECISION :: hubarr(nsteps),aharr(nsteps)
+ LOGICAL :: slowroll_infl_end
+ LOGICAL :: slowroll_start=.false.
+ DOUBLE PRECISION :: phi_infl_end=0.
+ DOUBLE PRECISION :: findiffdphi
+
+ DOUBLE PRECISION :: modpk_ns, modpk_nt, modpk_nrun, modpk_As, modpk_r
+
+ END MODULE modpkparams
+
+
+ MODULE internals
+ IMPLICIT NONE
+ REAL, PARAMETER :: PI=3.141592653589793238462643383279502884197
+ DOUBLE PRECISION :: h_ik,pow_ik,powt_ik
+ DOUBLE PRECISION :: k, a_ik
+ END MODULE internals
+
+
+ MODULE powersp
+ IMPLICIT NONE
+ INTEGER*4 :: ik
+ DOUBLE PRECISION :: eval_ps,k_start
+ END MODULE powersp
diff -rcBN cosmomc/camb/modpk_odeint.f90 modecode/camb/modpk_odeint.f90
*** cosmomc/camb/modpk_odeint.f90 1969-12-31 19:00:00.000000000 -0500
--- modecode/camb/modpk_odeint.f90 2010-07-19 15:41:48.000000000 -0400
***************
*** 0 ****
--- 1,158 ----
+ module modpk_odeint
+ IMPLICIT NONE
+ CONTAINS
+
+ SUBROUTINE odeint(ystart,x1,x2,eps,h1,hmin,derivs,rkqs)
+ USE ode_path
+ USE internals
+ USE powersp
+ USE modpkparams
+ USE potential
+ USE modpk_utils, only : reallocate_rv, reallocate_rm
+
+ IMPLICIT NONE
+ DOUBLE PRECISION, DIMENSION(:), INTENT(INOUT) :: ystart
+ DOUBLE PRECISION, INTENT(IN) :: x1,x2,eps,h1,hmin
+ INTERFACE
+ SUBROUTINE derivs(x,y,dydx)
+ IMPLICIT NONE
+ DOUBLE PRECISION, INTENT(IN) :: x
+ DOUBLE PRECISION, DIMENSION(:), INTENT(IN) :: y
+ DOUBLE PRECISION, DIMENSION(:), INTENT(OUT) :: dydx
+ END SUBROUTINE derivs
+
+ SUBROUTINE rkqs(y,dydx,x,htry,eps,yscal,hdid,hnext,derivs)
+ IMPLICIT NONE
+ DOUBLE PRECISION, DIMENSION(:), INTENT(INOUT) :: y
+ DOUBLE PRECISION, DIMENSION(:), INTENT(IN) :: dydx,yscal
+ DOUBLE PRECISION, INTENT(INOUT) :: x
+ DOUBLE PRECISION, INTENT(IN) :: htry,eps
+ DOUBLE PRECISION, INTENT(OUT) :: hdid,hnext
+ INTERFACE
+ SUBROUTINE derivs(x,y,dydx)
+ IMPLICIT NONE
+ DOUBLE PRECISION, INTENT(IN) :: x
+ DOUBLE PRECISION, DIMENSION(:), INTENT(IN) :: y
+ DOUBLE PRECISION, DIMENSION(:), INTENT(OUT) :: dydx
+ END SUBROUTINE derivs
+ END INTERFACE
+ END SUBROUTINE rkqs
+ END INTERFACE
+ DOUBLE PRECISION, PARAMETER :: TINY=1.0d-30
+ INTEGER*4, PARAMETER :: MAXSTP=10000
+ INTEGER*4 :: nstp,i
+ DOUBLE PRECISION :: h,hdid,hnext,x,xsav
+ DOUBLE PRECISION, DIMENSION(SIZE(ystart)) :: dydx,y,yscal
+ DOUBLE PRECISION :: z, scalefac
+ ode_underflow=.FALSE.
+ infl_ended=.FALSE.
+ x=x1
+ h=SIGN(h1,x2-x1)
+ nok=0
+ nbad=0
+ kount=0
+ y(:)=ystart(:)
+ NULLIFY(xp,yp)
+ IF (save_steps) THEN
+ xsav=x-2.d0*dxsav
+ ALLOCATE(xp(256))
+ ALLOCATE(yp(SIZE(ystart),SIZE(xp)))
+ END IF
+ DO nstp=1,MAXSTP
+ CALL derivs(x,y,dydx)
+ yscal(:)=ABS(y(:))+ABS(h*dydx(:))+TINY
+ IF (save_steps .AND. (ABS(x-xsav) > ABS(dxsav))) &
+ CALL save_a_step
+ IF ((x+h-x2)*(x+h-x1) > 0.0) h=x2-x
+ CALL rkqs(y,dydx,x,h,eps,yscal,hdid,hnext,derivs)
+ IF (hdid == h) THEN
+ nok=nok+1
+ ELSE
+ nbad=nbad+1
+ END IF
+
+
+ IF ((x-x2)*(x2-x1) >= 0.0) THEN
+ PRINT*,'MODPK: This could be a model for which inflation does not end.'
+ PRINT*,'MODPK: Either adjust phi_init or use slowroll_infl_end for a potential'
+ PRINT*,'MODPK: for which inflation does not end by breakdown of slowroll.'
+ PRINT*,'MODPK: QUITTING'
+ write(*,*) 'vparams: ', (vparams(i),i=1,max_vparams)
+ if (.not.instreheat) write(*,*) 'N_pivot: ', N_pivot
+ STOP
+ RETURN
+ END IF
+
+ IF(getEps(y(1),y(2)) .LT. 1 .AND. .NOT.(slowroll_start)) slowroll_start=.true.
+
+ IF(ode_infl_end) THEN
+ IF (slowroll_infl_end) THEN
+ IF(getEps(y(1),y(2)) .GT. 2 .AND. slowroll_start) THEN
+ infl_ended=.TRUE.
+ ystart(:)=y(:)
+ IF (save_steps) CALL save_a_step
+ RETURN
+ ENDIF
+ ELSE
+ IF(getEps(y(1),y(2)) .GT. 1 .AND. slowroll_start) THEN
+ print*,getEps(y(1),y(2))
+ PRINT*,'MODPK: You asked for a no-slowroll-breakdown model, but inflation'
+ PRINT*,'MODPK: already ended via slowroll violation before your phi_end was'
+ PRINT*,'MODPK: reached. Please take another look at your inputs.'
+ PRINT*,'MODPK: QUITTING'
+ STOP
+ ENDIF
+
+ IF (phidot_sign.GT.0..AND.(y(1).GT.(phi_infl_end+0.05))) THEN
+ infl_ended=.TRUE.
+ ystart(:)=y(:)
+ IF (save_steps) CALL save_a_step
+ RETURN
+ ENDIF
+ IF (phidot_sign.LT.0..AND.(y(1).LT.(phi_infl_end-0.05))) THEN
+ infl_ended=.TRUE.
+ ystart(:)=y(:)
+ IF (save_steps) CALL save_a_step
+ RETURN
+ ENDIF
+
+ ENDIF
+ ENDIF
+
+ IF(ode_ps_output) THEN
+ IF(k.LT.a_init*EXP(x)*getH(y(1),y(2))/eval_ps) THEN !k<aH/eval_ps
+ z=a_init*EXP(x)*y(2) ! z=a*phi_dot/H=a*dphi/dalpha
+ scalefac=a_init*EXP(x)
+ pow_ik=powerspectrum(y(3),y(5),z) !Calculate scalar power at this k
+ powt_ik=tensorpower(y(7),y(9),scalefac) !Calculate tensor power at this k
+ ystart(:)=y(:)
+ IF (save_steps) CALL save_a_step
+ RETURN
+ END IF
+ END IF
+
+ IF (ode_underflow) RETURN
+ IF (ABS(hnext) < hmin) THEN
+ write(*,*) 'stepsize smaller than minimum in odeint'
+ STOP
+ END IF
+ h=hnext
+ END DO
+ PRINT*,'too many steps in odeint'
+ ode_underflow=.TRUE.
+ CONTAINS
+ SUBROUTINE save_a_step
+ kount=kount+1
+ IF (kount > SIZE(xp)) THEN
+ xp=>reallocate_rv(xp,2*SIZE(xp))
+ yp=>reallocate_rm(yp,SIZE(yp,1),SIZE(xp))
+ END IF
+ xp(kount)=x
+ yp(:,kount)=y(:)
+ xsav=x
+ END SUBROUTINE save_a_step
+ ! (C) Copr. 1986-92 Numerical Recipes Software, adapted.
+ END SUBROUTINE odeint
+
+ end module modpk_odeint
+
diff -rcBN cosmomc/camb/modpk_potential.f90 modecode/camb/modpk_potential.f90
*** cosmomc/camb/modpk_potential.f90 1969-12-31 19:00:00.000000000 -0500
--- modecode/camb/modpk_potential.f90 2010-07-19 15:41:48.000000000 -0400
***************
*** 0 ****
--- 1,273 ----
+ MODULE potential
+ USE modpkparams
+ IMPLICIT NONE
+ PRIVATE
+ PUBLIC :: pot, getH, getHdot, getEps, dVdphi, d2Vdphi2, getdepsdalpha, powerspectrum, &
+ tensorpower, initialphi
+
+ CONTAINS
+
+ FUNCTION MySech(x)
+ DOUBLE PRECISION :: x,MySech
+
+ IF(ABS(x).GT.40.0) THEN
+ MySech=0.0
+ ELSE
+ MySech=1.0/COSH(x)
+ END IF
+ RETURN
+ END FUNCTION MySech
+
+ FUNCTION pot(phi)
+ !
+ ! Returns V(phi) given phi
+ !
+ DOUBLE PRECISION :: pot,phi
+ DOUBLE PRECISION :: mu, lambda, m_V, finv
+
+ select case(potential_choice)
+ case(1)
+ m_V = 10.d0**(0.5d0*vparams(1))
+ pot = 0.5*m_V*m_V*phi*phi
+ case(2)
+ lambda = 10.d0**vparams(1)
+ finv = 1.d0/(10.d0**vparams(2))
+ pot = lambda**4*(1.d0+cos(finv*phi))
+ case(3)
+ lambda = 10.d0**vparams(1)
+ pot = 0.25*lambda*phi**4
+ case(4)
+ lambda = 10.d0**vparams(1)
+ pot = lambda*phi
+ case(5)
+ lambda = 10.d0**vparams(1)
+ pot = lambda*1.5d0*phi**(2./3.)
+ case(6)
+ lambda = 10.d0**vparams(1)
+ mu = 10.d0**vparams(2)
+ pot = lambda**4 - mu*phi**4/4.d0
+ case default
+ write(*,*) 'MODPK: Need to set pot(phi) in modpk_potential.f90 for potential_choice =',potential_choice
+ STOP
+ end select
+
+ RETURN
+ END FUNCTION pot
+
+
+ FUNCTION dVdphi(phi)
+ !
+ ! Returns dV/dPhi given phi
+ !
+ DOUBLE PRECISION :: phi,dVdPhi,dphi,phiplus
+ DOUBLE PRECISION :: m_V, lambda, finv, mu
+
+ if (vnderivs) then
+ phiplus = phi + 0.5*phi*findiffdphi**(1./3.)
+ dphi = phiplus - phi
+ dVdphi = (pot(phi+dphi)-pot(phi-dphi))/(2.*dphi)
+ if (dVdphi.eq.0.d0) then
+ write(*,*) 'MODPK: dVdphi=0, possibly signaling a problem with accuracy of numerical derivatives.'
+ write(*,*) 'MODPK: Try using vnderivs=F if possible.'
+ STOP
+ end if
+ else
+ select case(potential_choice)
+ case(1)
+ m_V = 10.d0**(0.5d0*vparams(1))
+ dVdphi = m_V*m_V*phi
+ case(2)
+ lambda = 10.d0**vparams(1)
+ finv = 1.d0/(10.d0**vparams(2))
+ dVdphi = -lambda**4*finv*sin(finv*phi)
+ case(3)
+ lambda = 10.d0**vparams(1)
+ dVdphi = lambda*phi**3
+ case(4)
+ lambda = 10.d0**vparams(1)
+ dVdphi = lambda
+ case(5)
+ lambda = 10.d0**vparams(1)
+ dVdphi = lambda*phi**(-1./3.)
+ case(6)
+ mu = 10.d0**vparams(2)
+ dVdphi = -mu*phi**3
+ case default
+ write(*,*) 'MODPK: Need to set dVdphi in modpk_potential.f90 or use numerical derivatives (vnderivs=T)'
+ STOP
+ end select
+
+ end if
+
+ RETURN
+ END FUNCTION dVdphi
+
+
+ FUNCTION d2Vdphi2(phi)
+ !
+ ! Returns d^2V/dPhi^2 given phi
+ !
+ DOUBLE PRECISION :: phi,d2VdPhi2,dphi,phiplus
+ DOUBLE PRECISION :: m_V, lambda, finv, mu
+
+ if (vnderivs) then
+ phiplus = phi + 0.2*phi*findiffdphi**(1./4.)
+ dphi = phiplus - phi
+ d2Vdphi2 = (pot(phi+2.*dphi)+pot(phi-2.*dphi)-2.*pot(phi))/(4.*dphi*dphi)
+ else
+ select case(potential_choice)
+ case(1)
+ m_V = 10.d0**(0.5d0*vparams(1))
+ d2Vdphi2 = m_V*m_V
+ case(2)
+ lambda = 10.d0**vparams(1)
+ finv = 1.d0/(10.d0**vparams(2))
+ d2Vdphi2 = -lambda**4*finv*finv*cos(finv*phi)
+ case(3)
+ lambda = 10.d0**vparams(1)
+ d2Vdphi2 = 3.d0*lambda*phi*phi
+ case(4)
+ d2Vdphi2 = 0.d0
+ case(5)
+ lambda = 10.d0**vparams(1)
+ d2Vdphi2 = -lambda/3.d0*phi**(-4./3.)
+ case(6)
+ mu = 10.d0**vparams(2)
+ d2Vdphi2 = -3.d0*mu*phi*phi
+ case default
+ write(*,*) 'MODPK: Need to set d2Vdphi2 in modpk_potential.f90 or use numerical derivatives (vnderivs=T)'
+ STOP
+ end select
+
+ end if
+
+ RETURN
+ END FUNCTION d2Vdphi2
+
+
+ FUNCTION initialphi(phi0)
+ !
+ ! Sets initial value of phi (depending on potential, may use
+ ! either the user-specified value phi0 or something derived
+ ! from the potential parameters)
+ !
+ DOUBLE PRECISION :: initialphi, phi0
+ DOUBLE PRECISION :: phii, Ninit, finv, lambda, mu, phesq
+ DOUBLE PRECISION :: x1, x2
+
+ Ninit = 70.d0
+
+ select case(potential_choice)
+ case(1)
+ phii = 2.d0*sqrt(Ninit+0.5d0)
+ case(2)
+ finv = 1.d0/(10.d0**vparams(2))
+ phii = 2.d0/finv*asin(exp(-0.5d0*Ninit*finv*finv)/ &
+ sqrt(1.d0+0.5d0*finv*finv))
+ case(3)
+ phii = sqrt(8.d0*(Ninit+1.d0))
+ case(4)
+ phii = sqrt(2.d0*Ninit+0.5d0)
+ case(5)
+ phii = sqrt(4.d0/3.d0*Ninit+2.d0/9.d0)
+ case(6)
+ lambda = 10.d0**vparams(1)
+ mu = 10.d0**vparams(2)
+ x1 = lambda**4/mu
+ phesq = ((sqrt(2.d0)*x1)**(-4./3.)+1.d0/(4.d0*x1))**(-0.5)
+ if (vparams(1)<-3.d0) then
+ phii = sqrt(phesq/(2.d0**1.5*Ninit/sqrt(phesq)+1.d0))
+ else
+ x2 = 4.d0*Ninit + 2.d0*x1/phesq + 0.5d0*phesq
+ phii = sqrt(x2)*sqrt(1.d0-sqrt(1.d0-4.d0*x1/x2/x2))
+ end if
+ case default
+ phii = phi0
+ end select
+
+ write(*,*) 'initial value of phi =', phii
+ initialphi = phii
+
+ RETURN
+ END FUNCTION initialphi
+
+
+ FUNCTION getEps(phi,dphi)
+ !
+ ! Returns epsilon given phi and dphi/dalpha
+ ! slowroll parameter epsilon_H = 2 M_pl^2 [(dH/dphi)/H]^2
+ !
+ DOUBLE PRECISION :: getEps,phi,dphi
+ getEps=2.d0*(M_Pl**2)*(((getHdot(phi,dphi)/dphi)/getH(phi,dphi))**2)
+ RETURN
+
+ END FUNCTION getEps
+
+
+ FUNCTION getH(phi,dphi)
+ !
+ ! Returns H given phi and dphi/dalpha
+ !
+ DOUBLE PRECISION :: getH,phi,dphi
+
+ getH=SQRT(pot(phi)/3./M_Pl/M_Pl/ &
+ & (1.0-dphi*dphi/6.0/M_Pl/M_Pl))
+ RETURN
+ END FUNCTION getH
+
+
+ FUNCTION getHdot(phi,dphi)
+ !
+ ! Returns dH/dalpha given phi and dphi/dalpha
+ !
+ DOUBLE PRECISION :: getHdot,phi,dphi
+
+ getHdot=-dphi*dphi*getH(phi,dphi)/2./M_Pl/M_Pl
+ RETURN
+ END FUNCTION getHdot
+
+
+ FUNCTION getdepsdalpha(phi,dphi)
+ !
+ ! Returns depsilon/dalpha given phi and dphi/dalpha
+ ! Gets this by differentiating Peiris et al Eq A3 (2003)
+ !
+ DOUBLE PRECISION :: getdepsdalpha,phi,dphi,H,dHdalpha,eps
+
+ H=getH(phi,dphi)
+ dHdalpha=getHdot(phi,dphi)
+ eps=getEps(phi,dphi)
+ getdepsdalpha=3./H*(2.*H*dHdalpha*(1.-eps/3.)-dVdphi(phi)*dphi/3./M_Pl/M_Pl)
+ RETURN
+ END FUNCTION getdepsdalpha
+
+
+ FUNCTION powerspectrum(u1,u2,z)
+ USE internals
+ DOUBLE PRECISION :: powerspectrum,u1,u2
+ DOUBLE PRECISION :: z
+ !
+ ! Calculates P_R(k) given u1, u2, z
+ !
+ powerspectrum = (u1*u1/(2.0*k)+ &
+ & u2*u2*k/2.0/(h_ik*a_ik)**2) &
+ & /z**2 &