What is cosmomathica?
Wolfram Mathematica is a powerful and convenient software package used by many cosmologists everywhere. However, since it is not always the most efficient for low-level computing, most popular algorithms for numerical computations in cosmology have been written in C or Fortran, since these languages are typically much better suited for the task at hand. This package bundles the functionality of some of these algorithms in a Mathematica package, which makes them easier to use and avoids the need to learn C or Fortran.
It makes use of the MathLink technology, which means that the original source code remains untouched. The algorithms are not reimplemented either, because that would negate the advantage of having them implemented in a lower level language in terms of efficiency. On top of that, it would inevitably introduce new bugs given the complexity of these algorithms.
For further details on how MathLink works, see http://arxiv.org/abs/1107.4379.
Wolfram Mathematica version >=10
The GNU Compiler Compilation (gcc) and (gfortran) version >=4.6
GSL (GNU Scientific Library) You need the developer libraries for GSL (gsl-bin, libgsl-dev)
Universally Unique ID library (uuid-dev) and (libuuid1)
Note: Library names could depend on your operating-system. Check compiler errors for the needed libraries.
Cosmomathica interfaces with the
Transfer Function code from Eisenstein&Hu,
halofit from Robert Smith et al and Martin Kilbinger,
FrankenEmulator from Kathrin Heitmann et al,
CAMB from Anthony Lewis et al and
CLASS from Julien Lesgourges et al.
Due to copyright issues, the external packages cannot be delivered as part of this package.
Cosmomathica downloads all these codes for you.
Just go to the folder
ext/ and type:
Then follow the user prompts.
The Transfer Function code will be placed in a folder named
tf, Halofit will be placed in a folder named
halofit and the CosmicEmulator and FrankenEmulator will be placed in folders named
CLASS and CMAB will be cloned from their git repositories and placed in folders named
If you use a modified
version of CAMB or CLASS, cosmomathica might stil work.
In general, if you modify things like the
CAMBparams, you almost certainly will have to modify cosmomathica as
camb_wrapper.f90 and the
How to compile the MathLink
The paths to the required Mathematica libraries are often different on every
system, so first you should adjust the Mathematica-related lines in the
Makefile_mathlink file, which is located in the
MLINKDIR = /usr/local/Wolfram/Mathematica/11.2/SystemFiles/Links/MathLink/DeveloperKit
has to be adapted to your file system.
First, if you haven't, change to the directory
ext/ and type:
Follow the user prompts to download the external packages.
As a second step, compile all codes and the mathlink by typing
make inside the
make clean before, if you have previously compiled one of the cosmological codes.
CAMB uses the Intel Fortran compiler by default. Due to compatibility issues with linking the different object files, CAMB needs to be compiled with GNU gfortran. Please make sure that CAMB inside the folder camb is compiled with gfortran, by changing the respective Makefile.
Note that all warnings and errors that you see may be cause by the external programs. Make sure the warning is not from compiling the MathLink and contact the respective authors if you have concerns. Otherwise, feel free to file a bug report on GitHub.
How to use Cosmomathica
In general, each one of the functions
FrankenEmu returns lists containing the raw data
as computed by the respective program.
See the notebook
demo.nb for a demonstration.
This is version 1.0.
Version 1.0: Release by Santiago Casas
Previous versions: Forked from Adrian Vollmer's original cosmomathica.
Copyright and licensing
Cosmomathica is released under the GPL2. Contributions are welcome. Note that the copyright of the external software packages belong to their respective owners. Read their copyright remarks before using them.
**Sources of external packages: **
Transfer function: tf_fit.c 38ef737fe3bab405bac17db78815559f power.c 32c6a5912acd36f5522d0a81c8f8c5d7 http://background.uchicago.edu/~whu/transfer/transferpage.html Daniel Eisenstein and Wayne Hu
Halofit+: halofit+.tar 4ce61ec6504a2f7cf750ab007142dea8 http://www.roe.ac.uk/~jap/haloes/ Robert Smith et al, Martin Kilbinger
CosmicEmulator "Coyote" (v1.1): CosmicEmu_v1.1.tar.gz
http://www.lanl.gov/projects/cosmology/CosmicEmu/emu.html Earl Lawrence
FrankenEmu CosmicEmu_v2.tar.gz 1018867d84d9e6820a9ae8ee2f213b06 http://www.hep.anl.gov/cosmology/CosmicEmu/CosmicEmu_v2.tar.gz Earl Lawrence
CAMB https://github.com/cmbant/CAMB.git Anthony Lewis et al
CLASS https://github.com/lesgourg/class_public.git Julien Lesgourges et al