CLASS MANUAL
Data Structures | Macros | Enumerations
perturbations.h File Reference
#include "thermodynamics.h"
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Data Structures

struct  perturbations
 
struct  perturbations_vector
 
struct  perturbations_workspace
 
struct  perturbations_parameters_and_workspace
 

Macros

#define _SELECTION_NUM_MAX_   100
 
#define _MAX_NUMBER_OF_K_FILES_   30
 

Enumerations

enum  tca_flags
 
enum  tca_method
 
enum  possible_gauges { newtonian , synchronous }
 

Detailed Description

Documented includes for perturbation module

Data Structure Documentation

◆ perturbations

struct perturbations

Structure containing everything about perturbations that other modules need to know, in particular tabled values of the source functions $ S(k, \tau) $ for all requested modes (scalar/vector/tensor), initial conditions, types (temperature, E-polarization, B-polarization, lensing potential, etc), multipole l and wavenumber k.

Data Fields
short has_perturbations

do we need to compute perturbations at all ?

short has_cls

do we need any harmonic space spectrum $ C_l $ (and hence Bessel functions, transfer functions, ...)?

short has_scalars

do we need scalars?

short has_vectors

do we need vectors?

short has_tensors

do we need tensors?

short has_ad

do we need adiabatic mode?

short has_bi

do we need isocurvature bi mode?

short has_cdi

do we need isocurvature cdi mode?

short has_nid

do we need isocurvature nid mode?

short has_niv

do we need isocurvature niv mode?

short has_perturbed_recombination

Do we want to consider perturbed temperature and ionization fraction?

enum tensor_methods tensor_method

Neutrino contribution to tensors way to treat neutrinos in tensor perturbations(neglect, approximate as massless, take exact equations)

short evolve_tensor_ur

will we evolve ur tensor perturbations (either because we have ur species, or we have ncdm species with massless approximation) ?

short evolve_tensor_ncdm

will we evolve ncdm tensor perturbations (if we have ncdm species and we use the exact method) ?

short has_cl_cmb_temperature

do we need $ C_l $'s for CMB temperature?

short has_cl_cmb_polarization

do we need $ C_l $'s for CMB polarization?

short has_cl_cmb_lensing_potential

do we need $ C_l $'s for CMB lensing potential?

short has_cl_lensing_potential

do we need $ C_l $'s for galaxy lensing potential?

short has_cl_number_count

do we need $ C_l $'s for density number count?

short has_pk_matter

do we need matter Fourier spectrum?

short has_density_transfers

do we need to output individual matter density transfer functions?

short has_velocity_transfers

do we need to output individual matter velocity transfer functions?

short has_metricpotential_transfers

do we need to output individual transfer functions for scalar metric perturbations?

short has_Nbody_gauge_transfers

should we convert density and velocity transfer functions to Nbody gauge?

short has_nl_corrections_based_on_delta_m

do we want to compute non-linear corrections with an algorithm relying on delta_m (like halofit)?

short has_nc_density

in dCl, do we want density terms ?

short has_nc_rsd

in dCl, do we want redshift space distortion terms ?

short has_nc_lens

in dCl, do we want lensing terms ?

short has_nc_gr

in dCl, do we want gravity terms ?

int l_scalar_max

maximum l value for CMB scalars $ C_l $'s

int l_vector_max

maximum l value for CMB vectors $ C_l $'s

int l_tensor_max

maximum l value for CMB tensors $ C_l $'s

int l_lss_max

maximum l value for LSS $ C_l $'s (density and lensing potential in bins)

double k_max_for_pk

maximum value of k in 1/Mpc required for the output of P(k,z) and T(k,z)

int selection_num

number of selection functions (i.e. bins) for matter density $ C_l $'s

enum selection_type selection

type of selection functions

double selection_mean[_SELECTION_NUM_MAX_]

centers of selection functions

double selection_width[_SELECTION_NUM_MAX_]

widths of selection functions

int switch_sw

in temperature calculation, do we want to include the intrinsic temperature + Sachs Wolfe term?

int switch_eisw

in temperature calculation, do we want to include the early integrated Sachs Wolfe term?

int switch_lisw

in temperature calculation, do we want to include the late integrated Sachs Wolfe term?

int switch_dop

in temperature calculation, do we want to include the Doppler term?

int switch_pol

in temperature calculation, do we want to include the polarization-related term?

double eisw_lisw_split_z

at which redshift do we define the cut between eisw and lisw ?

int store_perturbations

Do we want to store perturbations?

int k_output_values_num

Number of perturbation outputs (default=0)

double k_output_values[_MAX_NUMBER_OF_K_FILES_]

List of k values where perturbation output is requested.

double three_ceff2_ur

3 x effective squared sound speed for the ultrarelativistic perturbations

double three_cvis2_ur

3 x effective viscosity parameter for the ultrarelativistic perturbations

double z_max_pk

when we compute only the matter spectrum / transfer functions, but not the CMB, we are sometimes interested to sample source functions at very high redshift, way before recombination. This z_max_pk will then fix the initial sampling time of the sources.

double * alpha_idm_dr

Angular contribution to collisional term at l>=2 for idm_fr-idr

double * beta_idr

Angular contribution to collisional term at l>=2 for idr-idr

int idr_nature

Nature of the interacting dark radiation (free streaming or fluid)

short has_cmb

do we need CMB-related sources (temperature, polarization) ?

short has_lss

do we need LSS-related sources (lensing potential, ...) ?

short has_idm_dr

do we have idm-dr interactions?

short has_idm_soundspeed

do we need to consider the dark matter sound speed in interaction models?

enum possible_gauges gauge

gauge in which to perform this calculation

int index_md_scalars

index value for scalars

int index_md_tensors

index value for tensors

int index_md_vectors

index value for vectors

int md_size

number of modes included in computation

int index_ic_ad

index value for adiabatic

int index_ic_cdi

index value for CDM isocurvature

int index_ic_bi

index value for baryon isocurvature

int index_ic_nid

index value for neutrino density isocurvature

int index_ic_niv

index value for neutrino velocity isocurvature

int index_ic_ten

index value for unique possibility for tensors

int * ic_size

for a given mode, ic_size[index_md] = number of initial conditions included in computation

short has_source_t

do we need source for CMB temperature?

short has_source_p

do we need source for CMB polarization?

short has_source_delta_m

do we need source for delta of total matter?

short has_source_delta_cb

do we ALSO need source for delta of ONLY cdm and baryon?

short has_source_delta_tot

do we need source for delta total?

short has_source_delta_g

do we need source for delta of gammas?

short has_source_delta_b

do we need source for delta of baryons?

short has_source_delta_cdm

do we need source for delta of cold dark matter?

short has_source_delta_idm

do we need source for delta of interacting dark matter

short has_source_delta_idr

do we need source for delta of interacting dark radiation?

short has_source_delta_dcdm

do we need source for delta of DCDM?

short has_source_delta_fld

do we need source for delta of dark energy?

short has_source_delta_scf

do we need source for delta from scalar field?

short has_source_delta_dr

do we need source for delta of decay radiation?

short has_source_delta_ur

do we need source for delta of ultra-relativistic neutrinos/relics?

short has_source_delta_ncdm

do we need source for delta of all non-cold dark matter species (e.g. massive neutrinos)?

short has_source_theta_m

do we need source for theta of total matter?

short has_source_theta_cb

do we ALSO need source for theta of ONLY cdm and baryon?

short has_source_theta_tot

do we need source for theta total?

short has_source_theta_g

do we need source for theta of gammas?

short has_source_theta_b

do we need source for theta of baryons?

short has_source_theta_cdm

do we need source for theta of cold dark matter?

short has_source_theta_idm

do we need source for theta of interacting dark matter

short has_source_theta_idr

do we need source for theta of interacting dark radiation?

short has_source_theta_dcdm

do we need source for theta of DCDM?

short has_source_theta_fld

do we need source for theta of dark energy?

short has_source_theta_scf

do we need source for theta of scalar field?

short has_source_theta_dr

do we need source for theta of ultra-relativistic neutrinos/relics?

short has_source_theta_ur

do we need source for theta of ultra-relativistic neutrinos/relics?

short has_source_theta_ncdm

do we need source for theta of all non-cold dark matter species (e.g. massive neutrinos)?

short has_source_phi

do we need source for metric fluctuation phi?

short has_source_phi_prime

do we need source for metric fluctuation phi'?

short has_source_phi_plus_psi

do we need source for metric fluctuation (phi+psi)?

short has_source_psi

do we need source for metric fluctuation psi?

short has_source_h

do we need source for metric fluctuation h?

short has_source_h_prime

do we need source for metric fluctuation h'?

short has_source_eta

do we need source for metric fluctuation eta?

short has_source_eta_prime

do we need source for metric fluctuation eta'?

short has_source_H_T_Nb_prime

do we need source for metric fluctuation H_T_Nb'?

short has_source_k2gamma_Nb

do we need source for metric fluctuation gamma in Nbody gauge?

int index_tp_t0

index value for temperature (j=0 term)

int index_tp_t1

index value for temperature (j=1 term)

int index_tp_t2

index value for temperature (j=2 term)

int index_tp_p

index value for polarization

int index_tp_delta_m

index value for matter density fluctuation

int index_tp_delta_cb

index value for delta cb

int index_tp_delta_tot

index value for total density fluctuation

int index_tp_delta_g

index value for delta of gammas

int index_tp_delta_b

index value for delta of baryons

int index_tp_delta_cdm

index value for delta of cold dark matter

int index_tp_delta_idm

index value for delta of interacting dark matter

int index_tp_delta_dcdm

index value for delta of DCDM

int index_tp_delta_fld

index value for delta of dark energy

int index_tp_delta_scf

index value for delta of scalar field

int index_tp_delta_dr

index value for delta of decay radiation

int index_tp_delta_ur

index value for delta of ultra-relativistic neutrinos/relics

int index_tp_delta_idr

index value for delta of interacting dark radiation

int index_tp_delta_ncdm1

index value for delta of first non-cold dark matter species (e.g. massive neutrinos)

int index_tp_perturbed_recombination_delta_temp

Gas temperature perturbation

int index_tp_perturbed_recombination_delta_chi

Inionization fraction perturbation

int index_tp_theta_m

index value for matter velocity fluctuation

int index_tp_theta_cb

index value for theta cb

int index_tp_theta_tot

index value for total velocity fluctuation

int index_tp_theta_g

index value for theta of gammas

int index_tp_theta_b

index value for theta of baryons

int index_tp_theta_cdm

index value for theta of cold dark matter

int index_tp_theta_dcdm

index value for theta of DCDM

int index_tp_theta_fld

index value for theta of dark energy

int index_tp_theta_scf

index value for theta of scalar field

int index_tp_theta_ur

index value for theta of ultra-relativistic neutrinos/relics

int index_tp_theta_idr

index value for theta of interacting dark radiation

int index_tp_theta_idm

index value for theta of interacting dark matter

int index_tp_theta_dr

index value for F1 of decay radiation

int index_tp_theta_ncdm1

index value for theta of first non-cold dark matter species (e.g. massive neutrinos)

int index_tp_phi

index value for metric fluctuation phi

int index_tp_phi_prime

index value for metric fluctuation phi'

int index_tp_phi_plus_psi

index value for metric fluctuation phi+psi

int index_tp_psi

index value for metric fluctuation psi

int index_tp_h

index value for metric fluctuation h

int index_tp_h_prime

index value for metric fluctuation h'

int index_tp_eta

index value for metric fluctuation eta

int index_tp_eta_prime

index value for metric fluctuation eta'

int index_tp_H_T_Nb_prime

index value for metric fluctuation H_T_Nb'

int index_tp_k2gamma_Nb

index value for metric fluctuation gamma times k^2 in Nbody gauge

int * tp_size

number of types tp_size[index_md] included in computation for each mode

int * k_size_cmb

k_size_cmb[index_md] number of k values used for CMB calculations, requiring a fine sampling in k-space

int * k_size_cl

k_size_cl[index_md] number of k values used for non-CMB $ C_l $ calculations, requiring a coarse sampling in k-space.

int k_size_pk

number of k values for the P(k,z) and T(k,z) output, not including possible additional values for non-linear corrections

int * k_size

k_size[index_md] = total number of k values, including those needed for all C_l, P(k), nonlinear corrections

double ** k

k[index_md][index_k] = list of values

double k_min

minimum value (over all modes)

double k_max

maximum value (over all modes)

double * tau_sampling

array of tau values

int tau_size

number of values in this array

double selection_min_of_tau_min

used in presence of selection functions (for matter density, cosmic shear...)

double selection_max_of_tau_max

used in presence of selection functions (for matter density, cosmic shear...)

double selection_delta_tau

used in presence of selection functions (for matter density, cosmic shear...)

double * selection_tau_min

value of conformal time below which W(tau) is considered to vanish for each bin

double * selection_tau_max

value of conformal time above which W(tau) is considered to vanish for each bin

double * selection_tau

value of conformal time at the center of each bin

double * selection_function

selection function W(tau), normalized to $ \int W(tau) dtau=1 $, stored in selection_function[bin*ppt->tau_size+index_tau]

double *** sources

Pointer towards the source interpolation table sources[index_md] [index_ic * ppt->tp_size[index_md] + index_tp] [index_tau * ppt->k_size + index_k]

double * ln_tau

log of the arrau tau_sampling, covering only the final time range required for the output of Fourier transfer functions (used for interpolations)

int ln_tau_size

total number of values in this array

int index_ln_tau_pk

first index relevant for output of P(k,z) and T(k,z)

double *** late_sources

Pointer towards the source interpolation table late_sources[index_md] [index_ic * ppt->tp_size[index_md] + index_tp] [index_tau * ppt->k_size + index_k] Note that this is not a replication of part of the sources table, it is just poiting towards the same memory zone, at the place where the late_sources actually start

double *** ddlate_sources

Pointer towards the splined source interpolation table with second derivatives with respect to time ddlate_sources[index_md] [index_ic * ppt->tp_size[index_md] + index_tp] [index_tau * ppt->k_size + index_k]

int * index_k_output_values

List of indices corresponding to k-values close to k_output_values for each mode. index_k_output_values[index_md*k_output_values_num+ik]

char scalar_titles[_MAXTITLESTRINGLENGTH_]

DELIMITER separated string of titles for scalar perturbation output files.

char vector_titles[_MAXTITLESTRINGLENGTH_]

DELIMITER separated string of titles for vector perturbation output files.

char tensor_titles[_MAXTITLESTRINGLENGTH_]

DELIMITER separated string of titles for tensor perturbation output files.

int number_of_scalar_titles

number of titles/columns in scalar perturbation output files

int number_of_vector_titles

number of titles/columns in vector perturbation output files

int number_of_tensor_titles

number of titles/columns in tensor perturbation output files

double * scalar_perturbations_data[_MAX_NUMBER_OF_K_FILES_]

Array of double pointers to perturbation output for scalars

double * vector_perturbations_data[_MAX_NUMBER_OF_K_FILES_]

Array of double pointers to perturbation output for vectors

double * tensor_perturbations_data[_MAX_NUMBER_OF_K_FILES_]

Array of double pointers to perturbation output for tensors

int size_scalar_perturbation_data[_MAX_NUMBER_OF_K_FILES_]

Array of sizes of scalar double pointers

int size_vector_perturbation_data[_MAX_NUMBER_OF_K_FILES_]

Array of sizes of vector double pointers

int size_tensor_perturbation_data[_MAX_NUMBER_OF_K_FILES_]

Array of sizes of tensor double pointers

short perturbations_verbose

flag regulating the amount of information sent to standard output (none if set to zero)

ErrorMsg error_message

zone for writing error messages

◆ perturbations_vector

struct perturbations_vector

Structure containing the indices and the values of the perturbation variables which are integrated over time (as well as their time-derivatives). For a given wavenumber, the size of these vectors changes when the approximation scheme changes.

Data Fields
int index_pt_delta_g

photon density

int index_pt_theta_g

photon velocity

int index_pt_shear_g

photon shear

int index_pt_l3_g

photon l=3

int l_max_g

max momentum in Boltzmann hierarchy (at least 3)

int index_pt_pol0_g

photon polarization, l=0

int index_pt_pol1_g

photon polarization, l=1

int index_pt_pol2_g

photon polarization, l=2

int index_pt_pol3_g

photon polarization, l=3

int l_max_pol_g

max momentum in Boltzmann hierarchy (at least 3)

int index_pt_delta_b

baryon density

int index_pt_theta_b

baryon velocity

int index_pt_delta_cdm

cdm density

int index_pt_theta_cdm

cdm velocity

int index_pt_delta_idm

idm density

int index_pt_theta_idm

idm velocity

int index_pt_delta_dcdm

dcdm density

int index_pt_theta_dcdm

dcdm velocity

int index_pt_delta_fld

dark energy density in true fluid case

int index_pt_theta_fld

dark energy velocity in true fluid case

int index_pt_Gamma_fld

unique dark energy dynamical variable in PPF case

int index_pt_phi_scf

scalar field density

int index_pt_phi_prime_scf

scalar field velocity

int index_pt_delta_ur

density of ultra-relativistic neutrinos/relics

int index_pt_theta_ur

velocity of ultra-relativistic neutrinos/relics

int index_pt_shear_ur

shear of ultra-relativistic neutrinos/relics

int index_pt_l3_ur

l=3 of ultra-relativistic neutrinos/relics

int l_max_ur

max momentum in Boltzmann hierarchy (at least 3)

int index_pt_delta_idr

density of interacting dark radiation

int index_pt_theta_idr

velocity of interacting dark radiation

int index_pt_shear_idr

shear of interacting dark radiation

int index_pt_l3_idr

l=3 of interacting dark radiation

int l_max_idr

max momentum in Boltzmann hierarchy (at least 3) for interacting dark radiation

int index_pt_perturbed_recombination_delta_temp

Gas temperature perturbation

int index_pt_perturbed_recombination_delta_chi

Inionization fraction perturbation

int index_pt_F0_dr

The index to the first Legendre multipole of the DR expansion. Not that this is not exactly the usual delta, see Kaplinghat et al., astro-ph/9907388.

int l_max_dr

max momentum in Boltzmann hierarchy for dr)

int index_pt_psi0_ncdm1

first multipole of perturbation of first ncdm species, Psi_0

int N_ncdm

number of distinct non-cold-dark-matter (ncdm) species

int * l_max_ncdm

mutipole l at which Boltzmann hierarchy is truncated (for each ncdm species)

int * q_size_ncdm

number of discrete momenta (for each ncdm species)

int index_pt_eta

synchronous gauge metric perturbation eta

int index_pt_phi

newtonian gauge metric perturbation phi

int index_pt_hv_prime

vector metric perturbation h_v' in synchronous gauge

int index_pt_V

vector metric perturbation V in Newtonian gauge

int index_pt_gw

tensor metric perturbation h (gravitational waves)

int index_pt_gwdot

its time-derivative

int pt_size

size of perturbation vector

double * y

vector of perturbations to be integrated

double * dy

time-derivative of the same vector

int * used_in_sources

boolean array specifying which perturbations enter in the calculation of source functions

◆ perturbations_workspace

struct perturbations_workspace

Workspace containing, among other things, the value at a given time of all background/perturbed quantities, as well as their indices. There will be one such structure created for each mode (scalar/.../tensor) and each thread (in case of parallel computing)

Data Fields
int index_mt_psi

psi in longitudinal gauge

int index_mt_phi_prime

(d phi/d conf.time) in longitudinal gauge

int index_mt_h_prime

h' (wrt conf. time) in synchronous gauge

int index_mt_h_prime_prime

h'' (wrt conf. time) in synchronous gauge

int index_mt_eta_prime

eta' (wrt conf. time) in synchronous gauge

int index_mt_alpha

$ \alpha = (h' + 6 \eta') / (2 k^2) $ in synchronous gauge

int index_mt_alpha_prime

$ \alpha'$ wrt conf. time) in synchronous gauge

int index_mt_gw_prime_prime

second derivative wrt conformal time of gravitational wave field, often called h

int index_mt_V_prime

derivative of Newtonian gauge vector metric perturbation V

int index_mt_hv_prime_prime

Second derivative of Synchronous gauge vector metric perturbation $ h_v$

int mt_size

size of metric perturbation vector

double * pvecback

background quantities

double * pvecthermo

thermodynamics quantities

double * pvecmetric

metric quantities

struct perturbations_vector * pv

pointer to vector of integrated perturbations and their time-derivatives

double delta_rho

total density perturbation (gives delta Too)

double rho_plus_p_theta

total (rho+p)*theta perturbation (gives delta Toi)

double rho_plus_p_shear

total (rho+p)*shear (gives delta Tij)

double delta_p

total pressure perturbation (gives Tii)

double rho_plus_p_tot

total (rho+p) (used to infer theta_tot from rho_plus_p_theta)

double gw_source

stress-energy source term in Einstein's tensor equations (gives Tij[tensor])

double vector_source_pi

first stress-energy source term in Einstein's vector equations

double vector_source_v

second stress-energy source term in Einstein's vector equations

double tca_shear_g

photon shear in tight-coupling approximation

double tca_slip

photon-baryon slip in tight-coupling approximation

double tca_shear_idm_dr

interacting dark radiation shear in tight coupling appproximation

double rsa_delta_g

photon density in radiation streaming approximation

double rsa_theta_g

photon velocity in radiation streaming approximation

double rsa_delta_ur

photon density in radiation streaming approximation

double rsa_theta_ur

photon velocity in radiation streaming approximation

double rsa_delta_idr

interacting dark radiation density in dark radiation streaming approximation

double rsa_theta_idr

interacting dark radiation velocity in dark radiation streaming approximation

double theta_idm

interacting dark matter velocity

double theta_idm_prime

derivative of interacting dark matter velocity in regard to conformal time

double * delta_ncdm

relative density perturbation of each ncdm species

double * theta_ncdm

velocity divergence theta of each ncdm species

double * shear_ncdm

shear for each ncdm species

double delta_m

relative density perturbation of all non-relativistic species

double theta_m

velocity divergence theta of all non-relativistic species

double delta_cb

relative density perturbation of only cdm and baryon

double theta_cb

velocity divergence theta of only cdm and baryon

double delta_rho_fld

density perturbation of fluid, not so trivial in PPF scheme

double delta_p_fld

pressure perturbation of fluid, very non-trivial in PPF scheme

double rho_plus_p_theta_fld

velocity divergence of fluid, not so trivial in PPF scheme

double S_fld

S quantity sourcing Gamma_prime evolution in PPF scheme (equivalent to eq. 15 in 0808.3125)

double Gamma_prime_fld

Gamma_prime in PPF scheme (equivalent to eq. 14 in 0808.3125)

FILE * perturbations_output_file

filepointer to output file

int index_ikout

index for output k value (when k_output_values is set)

short inter_mode

flag defining the method used for interpolation background/thermo quantities tables

int last_index_back

the background interpolation function background_at_tau() keeps memory of the last point called through this index

int last_index_thermo

the thermodynamics interpolation function thermodynamics_at_z() keeps memory of the last point called through this index

int index_ap_tca

index for tight-coupling approximation

int index_ap_rsa

index for radiation streaming approximation

int index_ap_tca_idm_dr

index for dark tight-coupling approximation (idm-idr)

int index_ap_rsa_idr

index for dark radiation streaming approximation

int index_ap_ufa

index for ur fluid approximation

int index_ap_ncdmfa

index for ncdm fluid approximation

int ap_size

number of relevant approximations for a given mode

int * approx

array of approximation flags holding at a given time: approx[index_ap]

int max_l_max

maximum l_max for any multipole

double * s_l

array of freestreaming coefficients $ s_l = \sqrt{1-K*(l^2-1)/k^2} $

◆ perturbations_parameters_and_workspace

struct perturbations_parameters_and_workspace

Structure pointing towards all what the function that perturbations_derivs needs to know: fixed input parameters and indices contained in the various structures, workspace, etc.

Data Fields
struct precision * ppr

pointer to the precision structure

struct background * pba

pointer to the background structure

struct thermodynamics * pth

pointer to the thermodynamics structure

struct perturbations * ppt

pointer to the precision structure

int index_md

index of mode (scalar/.../vector/tensor)

int index_ic

index of initial condition (adiabatic/isocurvature(s)/...)

int index_k

index of wavenumber

double k

current value of wavenumber in 1/Mpc

struct perturbations_workspace * ppw

workspace defined above

Macro Definition Documentation

◆ _SELECTION_NUM_MAX_

#define _SELECTION_NUM_MAX_   100

maximum number and types of selection function (for bins of matter density or cosmic shear)

◆ _MAX_NUMBER_OF_K_FILES_

#define _MAX_NUMBER_OF_K_FILES_   30

maximum number of k-values for perturbation output

Enumeration Type Documentation

◆ tca_flags

enum tca_flags

flags for various approximation schemes (tca = tight-coupling approximation, rsa = radiation streaming approximation, ufa = massless neutrinos / ultra-relativistic relics fluid approximation)

CAUTION: must be listed below in chronological order, and cannot be reversible. When integrating equations for a given mode, it is only possible to switch from left to right in the lists below.

◆ tca_method

enum tca_method

labels for the way in which each approximation scheme is implemented

◆ possible_gauges

enum possible_gauges

List of coded gauges. More gauges can in principle be defined.

Enumerator
newtonian 

newtonian (or longitudinal) gauge

synchronous 

synchronous gauge with $ \theta_{cdm} = 0 $ by convention