halomod 1.4.6.dev23

A Halo Model calculator built on hmf

halomod is a python application that provides a flexible and simple interface for dealing with the Halo Model of Dark Matter Halos.

Disclaimer/Note

halomod is currently undergoing some pretty heavy development, and so may change reasonably significantly at short notice. If you are using it, and have any problems, don’t hesitate to contact me (@steven-murray) and I’ll walk you through anything that I can help with. Thanks for your patience. Also, for the most up-to-date version, grab the develop branch of this repo.

** Note that for version 1.5.0+, halomod requires hmf v2.1.0+, and the procedure for using camb is different. Please see the hmf docs for details.**

To be more clear, there are several features which are still under development and so should either appear or be more robust soon, including:

• Documentation (sphinx + readthedocs)

• Tests

• A simpler conceptual split between the dark matter halo model, and the HOD.

• Angular correlation functions work, but are a bit hacky at the moment

• Robust support for multi-epoch calculations

Features

• All the features of hmf (several transfer function models, 15+ HMF fitting functions, efficient caching etc.)

• Extended components for halo model:

  • 10 halo bias models, plus scale-dependent bias from Tinker (2005).

  • 3 basic halo_concentration-mass-redshift relations, including the analytic Bullock (2001) model

  • Several plug-and-play halo-exclusion models (including tracer_density-matched from Tinker+2005).

  • 5 built-in HOD parametrisations

  • Many built-in halo profiles, including NFW, generalised NFW, Hernquist etc.

  • Support for WDM models.

• All basic quantities such as 3D correlations and power spectra, and projected 2PCF.

• Several derived quantities (eg. effective bias, satellite fraction etc.)

• All models/components specifically written to be easily extendible

• Simple routine for populating a halo catalogue with galaxies via a HOD.

• Built-in routines for efficient fitting of arbitrary parameters to data. BETA

• CLI scripts both for producing any quantity included, or fitting any quantity. BETA

Usage

halomod can be used interactively (for instance in ipython or a jupyter notebook) or in a script. To use interactively, in ipython do something like the following:

>>> from src.halomod import HaloModel
>>> hm = HaloModel() ## Construct the object
>>> help(hm)         ## Lists many of the available quantities.
>>> galcorr = hm.corr_auto_tracer
>>> bias = hm.bias
>>> ...

All parameters to

>>> from halomod import HaloModel
>>> hm = HaloModel() ## Construct the object
>>> help(hm)         ## Lists many of the available quantities.
>>> galcorr = hm.corr_auto_tracer
>>> bias = hm.bias
>>> ...

All parameters to

>>> from halomod import HaloModel
>>> hm = HaloModel() ## Construct the object
>>> help(hm)         ## Lists many of the available quantities.
>>> galcorr = hm.corr_auto_tracer
>>> bias = hm.bias
>>> ...

All parameters to

>>> from src.halomod import HaloModel
>>> hm = HaloModel() ## Construct the object
>>> help(hm)         ## Lists many of the available quantities.
>>> galcorr = hm.corr_auto_tracer
>>> bias = hm.bias
>>> ...

All parameters to

>>> from halomod import HaloModel
>>> hm = HaloModel() ## Construct the object
>>> help(hm)         ## Lists many of the available quantities.
>>> galcorr = hm.corr_auto_tracer
>>> bias = hm.bias
>>> ...

All parameters to

>>> from halomod import HaloModel
>>> hm = HaloModel() ## Construct the object
>>> help(hm)         ## Lists many of the available quantities.
>>> galcorr = hm.corr_auto_tracer
>>> bias = hm.bias
>>> ...

All parameters to

>>> from src.halomod import HaloModel
>>> hm = HaloModel() ## Construct the object
>>> help(hm)         ## Lists many of the available quantities.
>>> galcorr = hm.corr_auto_tracer
>>> bias = hm.bias
>>> ...

All parameters to

>>> from halomod import HaloModel
>>> hm = HaloModel() ## Construct the object
>>> help(hm)         ## Lists many of the available quantities.
>>> galcorr = hm.corr_auto_tracer
>>> bias = hm.bias
>>> ...

All parameters to

>>> from halomod import HaloModel
>>> hm = HaloModel() ## Construct the object
>>> help(hm)         ## Lists many of the available quantities.
>>> galcorr = hm.corr_auto_tracer
>>> bias = hm.bias
>>> ...

All parameters to

>>> from src.halomod import HaloModel
>>> hm = HaloModel() ## Construct the object
>>> help(hm)         ## Lists many of the available quantities.
>>> galcorr = hm.corr_auto_tracer
>>> bias = hm.bias
>>> ...

All parameters to

>>> from halomod import HaloModel
>>> hm = HaloModel() ## Construct the object
>>> help(hm)         ## Lists many of the available quantities.
>>> galcorr = hm.corr_auto_tracer
>>> bias = hm.bias
>>> ...

All parameters to

>>> from halomod import HaloModel
>>> hm = HaloModel() ## Construct the object
>>> help(hm)         ## Lists many of the available quantities.
>>> galcorr = hm.corr_auto_tracer
>>> bias = hm.bias
>>> ...

All parameters to

>>> from src.halomod import HaloModel
>>> hm = HaloModel() ## Construct the object
>>> help(hm)         ## Lists many of the available quantities.
>>> galcorr = hm.corr_auto_tracer
>>> bias = hm.bias
>>> ...

All parameters to

>>> from halomod import HaloModel
>>> hm = HaloModel() ## Construct the object
>>> help(hm)         ## Lists many of the available quantities.
>>> galcorr = hm.corr_auto_tracer
>>> bias = hm.bias
>>> ...

All parameters to

>>> from halomod import HaloModel
>>> hm = HaloModel() ## Construct the object
>>> help(hm)         ## Lists many of the available quantities.
>>> galcorr = hm.corr_auto_tracer
>>> bias = hm.bias
>>> ...

All parameters to

>>> from src.halomod import HaloModel
>>> hm = HaloModel() ## Construct the object
>>> help(hm)         ## Lists many of the available quantities.
>>> galcorr = hm.corr_auto_tracer
>>> bias = hm.bias
>>> ...

All parameters to

>>> from halomod import HaloModel
>>> hm = HaloModel() ## Construct the object
>>> help(hm)         ## Lists many of the available quantities.
>>> galcorr = hm.corr_auto_tracer
>>> bias = hm.bias
>>> ...

All parameters to

>>> from halomod import HaloModel
>>> hm = HaloModel() ## Construct the object
>>> help(hm)         ## Lists many of the available quantities.
>>> galcorr = hm.corr_auto_tracer
>>> bias = hm.bias
>>> ...

All parameters to

>>> from halomod import HaloModel
>>> hm = HaloModel() ## Construct the object
>>> help(hm)         ## Lists many of the available quantities.
>>> galcorr = hm.corr_auto_tracer
>>> bias = hm.bias
>>> ...

All parameters to

>>> from src.halomod import HaloModel
>>> hm = HaloModel() ## Construct the object
>>> help(hm)         ## Lists many of the available quantities.
>>> galcorr = hm.corr_auto_tracer
>>> bias = hm.bias
>>> ...

All parameters to

>>> from halomod import HaloModel
>>> hm = HaloModel() ## Construct the object
>>> help(hm)         ## Lists many of the available quantities.
>>> galcorr = hm.corr_auto_tracer
>>> bias = hm.bias
>>> ...

All parameters to

>>> from halomod import HaloModel
>>> hm = HaloModel() ## Construct the object
>>> help(hm)         ## Lists many of the available quantities.
>>> galcorr = hm.corr_auto_tracer
>>> bias = hm.bias
>>> ...

All parameters to

>>> from src.halomod import HaloModel
>>> hm = HaloModel() ## Construct the object
>>> help(hm)         ## Lists many of the available quantities.
>>> galcorr = hm.corr_auto_tracer
>>> bias = hm.bias
>>> ...

All parameters to

>>> from halomod import HaloModel
>>> hm = HaloModel() ## Construct the object
>>> help(hm)         ## Lists many of the available quantities.
>>> galcorr = hm.corr_auto_tracer
>>> bias = hm.bias
>>> ...

All parameters to

>>> from halomod import HaloModel
>>> hm = HaloModel() ## Construct the object
>>> help(hm)         ## Lists many of the available quantities.
>>> galcorr = hm.corr_auto_tracer
>>> bias = hm.bias
>>> ...

All parameters to

>>> from src.halomod import HaloModel
>>> hm = HaloModel() ## Construct the object
>>> help(hm)         ## Lists many of the available quantities.
>>> galcorr = hm.corr_auto_tracer
>>> bias = hm.bias
>>> ...

All parameters to

>>> from halomod import HaloModel
>>> hm = HaloModel() ## Construct the object
>>> help(hm)         ## Lists many of the available quantities.
>>> galcorr = hm.corr_auto_tracer
>>> bias = hm.bias
>>> ...

All parameters to

>>> from halomod import HaloModel
>>> hm = HaloModel() ## Construct the object
>>> help(hm)         ## Lists many of the available quantities.
>>> galcorr = hm.corr_auto_tracer
>>> bias = hm.bias
>>> ...

All parameters to

>>> from src.halomod import HaloModel
>>> hm = HaloModel() ## Construct the object
>>> help(hm)         ## Lists many of the available quantities.
>>> galcorr = hm.corr_auto_tracer
>>> bias = hm.bias
>>> ...

All parameters to

>>> from halomod import HaloModel
>>> hm = HaloModel() ## Construct the object
>>> help(hm)         ## Lists many of the available quantities.
>>> galcorr = hm.corr_auto_tracer
>>> bias = hm.bias
>>> ...

All parameters to

>>> from halomod import HaloModel
>>> hm = HaloModel() ## Construct the object
>>> help(hm)         ## Lists many of the available quantities.
>>> galcorr = hm.corr_auto_tracer
>>> bias = hm.bias
>>> ...

All parameters to

>>> from src.halomod import HaloModel
>>> hm = HaloModel() ## Construct the object
>>> help(hm)         ## Lists many of the available quantities.
>>> galcorr = hm.corr_auto_tracer
>>> bias = hm.bias
>>> ...

All parameters to

>>> from halomod import HaloModel
>>> hm = HaloModel() ## Construct the object
>>> help(hm)         ## Lists many of the available quantities.
>>> galcorr = hm.corr_auto_tracer
>>> bias = hm.bias
>>> ...

All parameters to

>>> from halomod import HaloModel
>>> hm = HaloModel() ## Construct the object
>>> help(hm)         ## Lists many of the available quantities.
>>> galcorr = hm.corr_auto_tracer
>>> bias = hm.bias
>>> ...

All parameters to

>>> from src.halomod import HaloModel
>>> hm = HaloModel() ## Construct the object
>>> help(hm)         ## Lists many of the available quantities.
>>> galcorr = hm.corr_auto_tracer
>>> bias = hm.bias
>>> ...

All parameters to

>>> from halomod import HaloModel
>>> hm = HaloModel() ## Construct the object
>>> help(hm)         ## Lists many of the available quantities.
>>> galcorr = hm.corr_auto_tracer
>>> bias = hm.bias
>>> ...

All parameters to

>>> from halomod import HaloModel
>>> hm = HaloModel() ## Construct the object
>>> help(hm)         ## Lists many of the available quantities.
>>> galcorr = hm.corr_auto_tracer
>>> bias = hm.bias
>>> ...

All parameters to

>>> from halomod import HaloModel
>>> hm = HaloModel() ## Construct the object
>>> help(hm)         ## Lists many of the available quantities.
>>> galcorr = hm.corr_auto_tracer
>>> bias = hm.bias
>>> ...

All parameters to

>>> from src.halomod import HaloModel
>>> hm = HaloModel() ## Construct the object
>>> help(hm)         ## Lists many of the available quantities.
>>> galcorr = hm.corr_auto_tracer
>>> bias = hm.bias
>>> ...

All parameters to

>>> from halomod import HaloModel
>>> hm = HaloModel() ## Construct the object
>>> help(hm)         ## Lists many of the available quantities.
>>> galcorr = hm.corr_auto_tracer
>>> bias = hm.bias
>>> ...

All parameters to

>>> from halomod import HaloModel
>>> hm = HaloModel() ## Construct the object
>>> help(hm)         ## Lists many of the available quantities.
>>> galcorr = hm.corr_auto_tracer
>>> bias = hm.bias
>>> ...

All parameters to

>>> from src.halomod import HaloModel
>>> hm = HaloModel() ## Construct the object
>>> help(hm)         ## Lists many of the available quantities.
>>> galcorr = hm.corr_auto_tracer
>>> bias = hm.bias
>>> ...

All parameters to

>>> from halomod import HaloModel
>>> hm = HaloModel() ## Construct the object
>>> help(hm)         ## Lists many of the available quantities.
>>> galcorr = hm.corr_auto_tracer
>>> bias = hm.bias
>>> ...

All parameters to

>>> from halomod import HaloModel
>>> hm = HaloModel() ## Construct the object
>>> help(hm)         ## Lists many of the available quantities.
>>> galcorr = hm.corr_auto_tracer
>>> bias = hm.bias
>>> ...

All parameters to

>>> from src.halomod import HaloModel
>>> hm = HaloModel() ## Construct the object
>>> help(hm)         ## Lists many of the available quantities.
>>> galcorr = hm.corr_auto_tracer
>>> bias = hm.bias
>>> ...

All parameters to

>>> from halomod import HaloModel
>>> hm = HaloModel() ## Construct the object
>>> help(hm)         ## Lists many of the available quantities.
>>> galcorr = hm.corr_auto_tracer
>>> bias = hm.bias
>>> ...

All parameters to

>>> from halomod import HaloModel
>>> hm = HaloModel() ## Construct the object
>>> help(hm)         ## Lists many of the available quantities.
>>> galcorr = hm.corr_auto_tracer
>>> bias = hm.bias
>>> ...

All parameters to

>>> from src.halomod import HaloModel
>>> hm = HaloModel() ## Construct the object
>>> help(hm)         ## Lists many of the available quantities.
>>> galcorr = hm.corr_auto_tracer
>>> bias = hm.bias
>>> ...

All parameters to

>>> from halomod import HaloModel
>>> hm = HaloModel() ## Construct the object
>>> help(hm)         ## Lists many of the available quantities.
>>> galcorr = hm.corr_auto_tracer
>>> bias = hm.bias
>>> ...

All parameters to

>>> from halomod import HaloModel
>>> hm = HaloModel() ## Construct the object
>>> help(hm)         ## Lists many of the available quantities.
>>> galcorr = hm.corr_auto_tracer
>>> bias = hm.bias
>>> ...

All parameters to

>>> from src.halomod import HaloModel
>>> hm = HaloModel() ## Construct the object
>>> help(hm)         ## Lists many of the available quantities.
>>> galcorr = hm.corr_auto_tracer
>>> bias = hm.bias
>>> ...

All parameters to

>>> from halomod import HaloModel
>>> hm = HaloModel() ## Construct the object
>>> help(hm)         ## Lists many of the available quantities.
>>> galcorr = hm.corr_auto_tracer
>>> bias = hm.bias
>>> ...

All parameters to

>>> from halomod import HaloModel
>>> hm = HaloModel() ## Construct the object
>>> help(hm)         ## Lists many of the available quantities.
>>> galcorr = hm.corr_auto_tracer
>>> bias = hm.bias
>>> ...

All parameters to

>>> from src.halomod import HaloModel
>>> hm = HaloModel() ## Construct the object
>>> help(hm)         ## Lists many of the available quantities.
>>> galcorr = hm.corr_auto_tracer
>>> bias = hm.bias
>>> ...

All parameters to

>>> from halomod import HaloModel
>>> hm = HaloModel() ## Construct the object
>>> help(hm)         ## Lists many of the available quantities.
>>> galcorr = hm.corr_auto_tracer
>>> bias = hm.bias
>>> ...

All parameters to

>>> from halomod import HaloModel
>>> hm = HaloModel() ## Construct the object
>>> help(hm)         ## Lists many of the available quantities.
>>> galcorr = hm.corr_auto_tracer
>>> bias = hm.bias
>>> ...

All parameters to

>>> from halomod import HaloModel
>>> hm = HaloModel() ## Construct the object
>>> help(hm)         ## Lists many of the available quantities.
>>> galcorr = hm.corr_auto_tracer
>>> bias = hm.bias
>>> ...

All parameters to HaloModel have defaults so none need to be specified. There are quite a few that can be specified however. Check the docstring to see the details. Furthermore, as halomod extends the functionality of hmf, almost all parameters accepted by hmf.MassFunction() can be used (check its docstring).

To change the parameters (cosmological or otherwise), one should use the update() method, if a HaloModel() object already exists. For example

>>> hm.update(rmin=0.1,rmax=1.0,rnum=100) #update scale vector
>>> corr_2h = hm.corr_2h_auto_tracer #The 2-halo term of the galaxy correlation function

Since

>>> hm.update(rmin=0.1,rmax=1.0,rnum=100) #update scale vector
>>> corr_2h = hm.corr_2h_auto_tracer #The 2-halo term of the galaxy correlation function

Since

>>> hm.update(rmin=0.1,rmax=1.0,rnum=100) #update scale vector
>>> corr_2h = hm.corr_2h_auto_tracer #The 2-halo term of the galaxy correlation function

Since HaloModel is a sub-class of MassFunction, all the quantities associated with the hmf are also included, so for example

>>> mass_variance = hm.sigma
>>> mass_function = hm.dndm
>>> linear_power = hm.power

We have tried to stick to reasonable naming conventions for the quantities. In particular, galaxy-galaxy correlations are labelled xxx_gg_xxx, matter correlations xxx_mm_xxx, central-satellite have xxx_cs_xxx and satellite-satellite xxx_ss_xxx.

In addition, all parameters passed to the constructor are saved within the class with the same name as they are passed with. Any parameter which defines a model choice (eg. a bias model) is named <component>_model, so for example, the bias model is called bias_model. Every model has an associated parameter called <component>_params, which is a dictionary of parameters to that model. The available choices for this dictionary depend precisely on the model chosen (so that the Sheth-Tormen HMF has a different set of parameters than does the Tinker+2008 model). Within the constructed object, the actual model is instantiated and saved as <component>, so that this object can be accessed, and several internal methods can be called. Some of these are exposed directly by the HaloModel class (eg. one can call hm.n_sat directly, which itself calls a method of the hm.hod component).

Acknowledgments

Thanks to Florian Beutler, Chris Blake and David Palamara who have all contributed significantly to the ideas, implementation and testing of this code.

Some parts of the code have been adapted from, influenced by or tested against:

• chomp (https://github.com/JoeMcEwen/chomp)

• AUM (https://github.com/surhudm/aum)

• HMcode (https://github.com/alexander-mead/HMcode/)

Along with these, several other private codes have been compared to.