wcosmo 0.3.1

A package for cosmology calculations with arbitrary numpy-like APIs

An efficient implementation of astropy-like cosmology compatible with numpy-like backends, e.g., jax and cupy.

There are two main features leading to superior efficiency to astropy:

• Integrals of \(E(z)\) and related functions are performed analytically with Pade approximations.

• Support for jax and cupy backends allow hardware acceleration, just-in-time compilation, and automatic differentiation.

The primary limitations are:

• Only flat cosmologies are supported with two components with constant equations of state, e.g., FlatwCDM.

• Approximations to the various integrals generally agree with astropy at the <0.1% level.

• The astropy units are incompatible with non-numpy backends.

Installation and contribution

wcosmo can be installed via conda-forge, pypi or from source.

$ mamba install -c conda-forge wcosmo
$ pip install wcosmo
$ pip install git+https://github.com/ColmTalbot/wcosmo.git

for development you should follow a standard fork-and-pull workflow.

• First create a new fork at github.com/UserName/wcosmo.

• Clone your fork

  $ git clone [e-mail]:UserName/wcosmo.git

  or use a GitHub codespace.

• Install the local version with

  $ python -m pip install .

• Make any desired edits and push to your fork.

• Open a pull request into [e-mail]:ColmTalbot/wcosmo.git.

Basic usage

To import an astropy-like cosmology

>>> from wcosmo import FlatwCDM
>>> cosmology = FlatwCDM(H0=70, Om0=0.3, w0=-1)
>>> cosmology.luminosity_distance(1)

Explicit usage of astropy units can be freely enabled/disabled. In this case, the values will have the default units for each method.

>>> from wcosmo import FlatwCDM
>>> from wcosmo.utils import disable_units, enable_units
>>> cosmology = FlatwCDM(H0=70, Om0=0.3, w0=-1)

>>> disable_units()
>>> cosmology.luminosity_distance(1)
6607.657732077576

>>> enable_units()
>>> cosmology.luminosity_distance(1)
<Quantity 6607.65773208 Mpc>

GWPopulation

The primary intention for this package is for use with GWPopulation. This code is automatically used in GWPopulation when using either gwpopulation.experimental.cosmo_models.CosmoModel and/or PowerLawRedshift

Changing backend

The backend can be switched automatically using, e.g.,

>>> import gwpopulation
>>> gwpopulation.backend.set_backend("jax")

Manual backend setting can be done as follows:

>>> import jax.numpy as jnp
>>> from jax.scipy.linalg.toeplitz import toeplitz

>>> from wcosmo import wcosmo, utils
>>> wcosmo.xp = jnp
>>> utils.xp = jnp
>>> utils.toeplitz = toeplitz