onepower.pk.Spectra

class onepower.pk.Spectra(*args, **kwargs)

Class to compute matter power spectra using the halo model approach.

Methods

I_NL(W_1, W_2, b_1, b_2, dndlnm_1, dndlnm_2, ...)	Calculate the integral over beta_nl using equations A.7 to A.10 from Mead and Verde 2021.
Tk_cold_ratio(k, g, ommh2, h, f_nu, N_nu[, ...])	Ratio of cold to matter transfer function from Eisenstein & Hu (1999).
__init__([matter_power_lin, ...])
clone(**kwargs)	Create and return an updated clone of the current object.
compute_1h_term(profile_u, profile_v, mass, ...)	Compute the 1-halo term for two fields u and v, e.g. matter, galaxy, intrinsic alignment.
compute_A_term(mass, b_dm, dndlnm, mean_density0)	Integral over the missing haloes.
compute_Ig_term(profile, mass, dndlnm, b_m)	Compute the integral for the galaxy term in the 2-halo power spectrum.
compute_Im_term(mass, u_dm, b_dm, dndlnm, ...)	Compute the integral for the matter term in the 2-halo power spectrum.
compute_central_galaxy_alignment_profile(...)	Compute the central galaxy alignment profile.
compute_matter_profile(mass, mean_density0, ...)	Compute the matter halo profile with a correction for neutrino mass fraction.
compute_matter_profile_with_feedback(mass, ...)	Compute the matter profile including feedback as modelled by hmcode2020 (eq 25 of 2009.01858).
compute_matter_profile_with_feedback_stellar_fraction_from_obs(...)	Compute the matter profile using stellar fraction from observations.
compute_satellite_galaxy_alignment_profile(...)	Compute the satellite galaxy alignment profile.
dewiggle_plin(plin)	Dewiggle the linear power spectrum.
f_Mead(x, y, p0, p1, p2, p3)	Fitting function from Mead et al. 2021 (2009.01858), eq A3, used in \(\delta_c\) and \(\Delta_{\rm v}\) calculations.
fg(mass, z_vec, fstar[, beta])	Compute the gas fraction, eq 24 of Mead et al. 2021.
fg_fit(mass, mb, fstar[, beta])	Compute the gas fraction for a general baryonic feedback model, eq 24 of Mead et al. 2021.
fs(z_vec)	Compute the stellar fraction from table 4 and eq 26 of Mead et al. 2021.
get_Pk_wiggle(k, Pk_lin, ns[, sigma_dlnk])	Extract the wiggle from the linear power spectrum.
get_all_parameter_defaults([recursive])	Dictionary of all parameters and defaults.
get_all_parameter_names()	Yield all parameter names in the class.
get_dependencies(*q)	Determine all parameter dependencies of the quantities in q.
get_halo_collapse_redshifts(M, z, dc, g, ...)	Calculate halo collapse redshifts according to the Bullock et al. (2001) prescription.
matter_profile_with_feedback_stellar_fraction_from_obs(fstar)	Compute the matter profile grid using stellar fraction from observations.
one_halo_truncation_mead(sigma8_in)	1-halo term truncation in Mead et al. 2021, eq 17 and table 2.
parameter_info([names])	Prints information about each parameter in the class.
prepare_I12_integrand(b_1, b_2, dndlnm_1, ...)	Prepare the integrand for the I12 term.
prepare_I21_integrand(b_1, b_2, dndlnm_1, ...)	Prepare the integrand for the I21 term.
prepare_I22_integrand(b_1, b_2, dndlnm_1, ...)	Prepare the integrand for the I22 term.
quantities_available()	Obtain a list of all available output quantities.
sigmaR_cc(power, k, r)	Calculate the variance of the cold matter density field smoothed on scale R.
sigmaV(k, power)	Calculate the dispersion from the power spectrum.
transition_smoothing(neff, p_1h, p_2h)	Smooth the transition between 1 and 2 halo terms, eq 23 and table 2 of Mead et al. 2021.
trapezoidal_integrator(integrand, x, axis)	Trapezoidal integrator using fixed weights and tensor dot product as mass does not change.
two_halo_truncation_mead(sigma8_in)	2-halo term truncation in Mead et al. 2021, eq 16.
update(**kwargs)	Update parameters of the framework with kwargs.
validate()	Perform validation of the input parameters as they relate to each other.

Attributes

A_term	Return the integral over the missing mass.
C1	Linear alignment coefficient C1 multiplited with the 2h amplitude.
Dv_Mead	Overdensity \(\Delta_{\rm v}\) fitting function from Mead et al. 2021 (2009.01858), eq A.2.
I12
I21
I22
Ic_align_term	Compute the integral for the central galaxy alignment term in the 2-halo power spectrum.
Ic_term	Compute the integral for the central galaxy term in the 2-halo power spectrum.
Im_term	Compute the integral for the matter term in the 2-halo power spectrum, eq 35 of Asgari, Mead, Heymans 2023.
Is_align_term	Compute the integral for the satellite galaxy alignment term in the 2-halo power spectrum.
Is_term	Compute the integral for the satellite galaxy term in the 2-halo power spectrum.
K	Sets the c(M) normalisations to the one used in HMCode.
Mmax	Maximum halo mass (for hmf).
Mmin	Minimum halo mass (for hmf).
Neff	Effective number of neutrino species.
Tk_EH_nowiggle_lnt
align_params	Parameters for the alignment model.
alignment_amplitude_2h	The alignment amplitude for GI.
alignment_amplitude_2h_II	The alignment amplitude for II.
alignment_class	Set up the aligment amplitudes and radial dependence.
alignment_gi	2h alignment amplitude.
beta_cen	Beta parameter for central galaxies.
beta_nl	Non-linear bias parameter \(\beta_{\rm nl}\).
beta_sat	Beta parameter for satellite galaxies.
bias_model	Halo bias model (for halomod).
bnl	Whether to include non-linear bias.
calc_bnl	Calculate the non-linear bias using the NonLinearBias class.
central_alignment_profile	Prepare the grid in z, k and mass for the central alignment
central_galaxy_profile	Compute the galaxy profile for a sample of central galaxies.
compute_observable	Whether to compute observable.
conc_cen	Return the concentration for matter/central galaxies.
conc_sat	Return the concentration for satellite galaxies.
cosmo_model	Return the astropy cosmology object assuming Flatw0waCDM model.
dc_Mead	The critical overdensity for collapse \(\delta_c\) fitting function from Mead et al. 2021 (2009.01858).
delta_c	Critical density threshold for collapse \(\delta_c\).
dewiggle	Whether to dewiggle the power spectrum.
disable_mass_conversion	Dissables the mass conversion for the mass definitions defined in HMCode.
dlnk	Spacing in natural log of wavenumber (for hmf).
dlog10m	Spacing in log10 of halo mass (for hmf).
dndlnm	Return the differential mass function.
eta_cen	Bloating parameter for central galaxies.
eta_sat	float Bloating parameter for satellite galaxies.
fnu	Return the neutrino density fraction.
fortuna	Whether to use the Fortuna model.
fstar	Compute the stellar fraction.
fstar_mm	Compute the stellar fraction for the matter-matter power spectrum.
get_mead_accumulated_growth	Calculates the accumulated growth at scale factor 'a'.
get_mead_growth	Return the Mead growth factor at the scale factors.
get_mead_growth_fnc	Solve the linear growth ODE and returns an interpolating function for the solution.
growth_factor	Return the growth factor.
growth_model	Growth function model (for hmf).
growth_params	Parameters for the growth function (for hmf).
h0	Hubble parameter (small h).
halo_bias	Return the halo bias.
halo_concentration_model_dm	Halo concentration model of dark matter / central galaxies (for halomod).
halo_concentration_model_sat	Halo concentration model of satellite galaxies (for halomod).
halo_overdensity_mean	Return the mean halo overdensity.
halo_profile_model_dm	Halo profile model of dark matter / central galaxies (for halomod).
halo_profile_model_sat	Halo profile model of satellite galaxies (for halomod).
halo_profile_params	Packs the cosmology to a dictionary to be passed to the hmf.
hmf_model	Halo mass function model (for hmf).
hod	Initialize and return the HOD model.
hod_mm	Initialize and return the HOD model for matter-matter power spectrum.
hod_model	An HOD model to use
hod_params	Parameters for the HOD model.
hod_settings	Settings for the HOD model.
hod_settings_mm	Settings for the HOD model.
k_vec	Array of wavenumbers.
kh	Return the k vector defined using lnk in hmf.
lnk_max	Maximum natural log of wavenumber (for hmf).
lnk_min	Minimum natural log of wavenumber (for hmf).
log10T_AGN	Log10 of AGN temperature.
m_nu	Neutrino mass.
mass	Return the masses.
mass_avg	Compute the average mass.
matter_power_lin	Linear matter power spectrum.
matter_power_nl	Non-linear matter power spectrum
matter_profile	Compute the matter profile grid in z, k, and M.
matter_profile_2h	Compute the matter profile grid in z, k, and M.
matter_profile_with_feedback	Compute the matter profile grid with feedback.
mb	Gas distribution mass pivot parameter \(M_{\rm b}\).
mdef_model	Mass definition model (for hmf).
mdef_params	Sets the overdensity parameter to the one used in HMCode or to the one for virial collapse.
mead_correction	Correction model from Mead et al.
mean_density0	Return the mean density at redshift zero.
mean_density_z	Return the mean density at the given redshifts.
missing_mass_integral	Compute the integral over the missing mass.
mpivot_cen	Pivot mass for central galaxies.
mpivot_sat	Pivot mass for satellite galaxies.
n_s	Spectral index.
neff	Return the effective spectral index.
nfw_cen	Return the density profile for matter/central galaxies.
nfw_sat	Return the density profile for satellite galaxies.
nonlinear_power	Return the non-linear power spectrum at z (if options passed).
norm_cen	Normalization of c(M) relation for central galaxies.
norm_sat	Normalization of c(M) relation for satellite galaxies.
nu	Return the peak height parameter.
obs	Initialize and return the observable function.
obs_func	Return the observable function in correct units.
obs_func_cen	Return the observable function for central galaxies in correct units.
obs_func_obs	Return the observable function x-axis.
obs_func_sat	Return the observable function for satellite galaxies in correct units.
obs_func_z	Return the redshift for the observable function.
obs_settings	Settings for the observable.
omega_b	Baryon density parameter.
omega_c	Cold dark matter density parameter.
omega_m	Matter density parameter.
one_halo_ktrunc	Truncation wavenumber for the 1-halo term.
one_halo_ktrunc_ia	Truncation wavenumber for the 1-halo IA term.
one_halo_truncation	1-halo term truncation at large scales (small k)
one_halo_truncation_ia	1-halo term truncation for IA.
overdensity	Overdensity parameter.
parameter_values	Dictionary of all parameters and their current values
peff	Return the mixture of linear and non-linear power spectrum.
pointmass	Whether to use point mass approximation.
poisson_func	Calculates the Poisson parameter for use in Pgg integrals.
poisson_model	A Poisson parameter model to use
poisson_params	Parameters for the Poisson distribution.
power	Return the linear power spectrum at z.
power_spectrum_gg	Compute the galaxy-galaxy power spectrum.
power_spectrum_gi	Compute the galaxy-intrinsic alignment power spectrum.
power_spectrum_gm	Compute the galaxy-matter power spectrum.
power_spectrum_ii	Compute the intrinsic-intrinsic alignment power spectrum.
power_spectrum_lin	Return the linear power spectrum.
power_spectrum_mi	Compute the matter-intrinsic alignment power spectrum.
power_spectrum_mm	Compute the matter-matter power spectrum.
r_s_cen	Return the scale radius for matter/central galaxies.
r_s_sat	Return the scale radius for satellite galaxies.
response	Whether to calculate the resulting power spectra in response formalism.
rho_halo	Return the halo density.
rvir_cen	Return the virial radius for matter/central galaxies.
rvir_sat	Return the virial radius for satellite galaxies.
satellite_alignment_profile	Prepare the grid in z, k and mass for the satellite alignment
satellite_galaxy_profile	Compute the galaxy profile for a sample of satellite galaxies.
scale_factor	Return the scale factor.
sigma8_z	Return the amplitude of matter fluctuations on 8 Mpc scales at the given redshifts.
sigma_8	Amplitude of matter fluctuations on 8 Mpc scales.
t_eff	Effective parameter for the Fortuna model.
tcmb	Temperature of the CMB.
transfer_model	Transfer function model (for hmf).
transfer_params	Parameters for the transfer function (for hmf).
two_halo_ktrunc	Truncation wavenumber for the 2-halo term.
two_halo_ktrunc_ia	Truncation wavenumber for the 2-halo IA term.
two_halo_truncation	2-halo term truncation at larger k-values (large k).
two_halo_truncation_ia	2-halo term truncation for IA.
u_dm	Return the normalized density profile for dark matter.
u_sat	Return the normalized density profile for satellite galaxies.
w0	Dark energy equation of state parameter.
wa	Dark energy equation of state parameter.
wkm_sat	Compute the radial alignment profile of satellite galaxies.
z_vec	Array of redshifts.