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 >=8
For CosmicEmulator and FrankenEmu: GSL (GNU Scientific Library)
For CAMB: Possibly cfitsio, healpix
For Copter: The Boost C++ library headers
The GNU Compiler Compilation (gcc) version >=4.6
Due to copyright issues, the external packages cannot be delivered as part of this package. You need to download the source code of the following programs yourself. To make sure you got the right version, the MD5 sums of the files in question are given here.
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
CAMB (Nov 2013): CAMB.tar.gz 473b1a87c9aa4972aedb0b5ba8ec037b http://camb.info/ Antony Lewis and Anthony Challinor
CLASS (v2.3.2): class_v2.3.2.tar.gz 4ece1125f2cffc63ad2c4212441fea88 http://class-code.net/ Julien Lesgourges
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
Copter (v0.8.7): copter-0.8.7.tar.gz 397afcad4a0ace992fe23828b2071a32 http://mwhite.berkeley.edu/Copter/ Jordan Carlson et al
The (extracted) files need to placed in directories with names
copter-0.8.7, respectively, inside the
If you wish to use a different version of CAMB, for instance, cosmomathica
may still work, but it has not been tested for it. If you use a modified
version of CAMB, the same applies. In general, if you modify things like the
CAMBparams, you almost certainly will have to modify cosmomathica as
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, which is located in the
ext directory. Next, change into the
ext directory and type
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. When building the MathLink, CAMB's Makefile is automatically changed accordingly.
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
CosmicEmu returns a list of replacement rules containing the raw data
as computed by the respective program. See the notebook
This is version 0.3. Since this is an alpha status, backwards compatibility may be broken in future releases.
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.