hmf.mass_function.fitting_functions.Manera¶

class hmf.mass_function.fitting_functions.Manera[source]¶

Manera 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 if req_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 Manera [1] form is:

\[f_{\rm Man}(\sigma) = A\sqrt{2a/\pi}\nu\exp(-a\nu^2/2)(1+(a\nu^2)^{-p})\]

References

Methods

`__init__`(nu2[, m, z, n_eff, …])	Initialize self.
`get_measured_mdef`()
`get_models`()	Get a dictionary of all implemented models for this component.
`norm`()

Attributes

`cutmask`	A logical mask array specifying which elements of `fsigma` are within the fitted range.
`fsigma`	The function \(f(\sigma)\equiv\nu f(\nu)\).
`lnsigma`	Negative log of sigma.
`nu`	The peak height, sigma/delta_c.
`omegam_z`	Normalised matter density at current redshift.
`req_mass`	Whether m is required for this subclass
`req_neff`	Whether n_eff is required for this subclass
`req_sigma`
`req_z`
`sigma`	The sqrt of mass variance as a function of mass.
`sim_definition`	Details of the defining simulation, subclass of `SimDetails`