hmf.mass_function.fitting_functions.Reed03¶
- class hmf.mass_function.fitting_functions.Reed03[source]¶
Reed03 mass function fit.
For details on attributes, see documentation for
FittingFunction
.- Parameters
nu2 (array_like) – A vector of peak-heights, \(\delta_c^2/\sigma^2\) corresponding to m
m (array_like, optional) – A vector of halo masses [units M_sun/h]. Only necessary if
req_mass
is True. Typically provides limits of applicability. Must correspond to nu2.z (float, optional) – The redshift. Only required if
req_z
is True, in which case the default is 0.n_eff (array_like, optional) – The effective spectral index at m. Only required if
req_neff
is True.mass_definition (
hmf.halos.mass_definitions.MassDefinition
instance, optional) – A halo mass definition. Only required for fits which explicitly include a parameterization for halo definition.cosmo (
astropy.cosmology.FLRW
instance, optional) – A cosmology. Default is Planck15. Either omegam_z or cosmo is required ifreq_omz
is True. If both are passed, omegam_z takes precedence.**model_parameters (unpacked-dictionary) – These parameters are model-specific. For any model, list the available parameters (and their defaults) using
<model>._defaults
Notes
The Reed03 [1] form is:
\[f_{\rm R03}(\sigma) = f_{\rm SMT}(\sigma)\exp\left(-\frac{c}{\sigma \cosh^5(2\sigma)}\right)\]References
- 1
Reed, D., et al., Dec. 2003. MNRAS 346 (2), 565-572. http://adsabs.harvard.edu/abs/2003MNRAS.346..565R
Methods
__init__
(nu2[, m, z, n_eff, …])Initialize self.
Get a dictionary of all implemented models for this component.
norm
()Attributes
A logical mask array specifying which elements of
fsigma
are within the fitted range.The function \(f(\sigma)\equiv\nu f(\nu)\).
Negative log of sigma.
The peak height, sigma/delta_c.
Normalised matter density at current redshift.
Whether m is required for this subclass
Whether n_eff is required for this subclass
The sqrt of mass variance as a function of mass.
Details of the defining simulation, subclass of
SimDetails