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passagemath: Reverse search for vertex enumeration and convex hulls with lrslib
passagemath <https://github.com/passagemath/passagemath>
__ is open
source mathematical software in Python, released under the GNU General
Public Licence GPLv2+.
It is a fork of SageMath <https://www.sagemath.org/>
__, which has been
developed 2005-2025 under the motto “Creating a Viable Open Source
Alternative to Magma, Maple, Mathematica, and MATLAB”.
The passagemath fork was created in October 2024 with the following goals:
major project started in 2020 in the Sage codebase <https://github.com/sagemath/sage/issues/29705>
__,clear attribution of upstream projects <https://groups.google.com/g/sage-devel/c/6HO1HEtL1Fs/m/G002rPGpAAAJ>
__,platform portability and integration testing services <https://github.com/passagemath/passagemath/issues/704>
__
to upstream projects,building a professional, respectful, inclusive community <https://groups.google.com/g/sage-devel/c/xBzaINHWwUQ>
__,Pyodide <https://pyodide.org/en/stable/>
__ for
serverless deployment with Javascript,Full documentation <https://doc.sagemath.org/html/en/index.html>
__ is
available online.
passagemath attempts to support all major Linux distributions and recent versions of macOS. Use on Windows currently requires the use of Windows Subsystem for Linux or virtualization.
Complete sets of binary wheels are provided on PyPI for Python versions 3.9.x-3.12.x. Python 3.13.x is also supported, but some third-party packages are still missing wheels, so compilation from source is triggered for those.
This pip-installable distribution passagemath-lrslib
provides an interface
to lrslib <http://cgm.cs.mcgill.ca/~avis/C/lrs.html>
_ by David Avis,
an implementation of the reverse search algorithm for vertex enumeration
and convex hull problems.
Using lrslib programs on the command line::
$ pipx run --pip-args="--prefer-binary" --spec "passagemath-lrslib" sage -sh -c lrs
*lrs:lrslib v.7.1 2021.6.2(64bit,lrslong.h,hybrid arithmetic)
Finding the installation location of an lrslib program::
$ pipx run --pip-args="--prefer-binary" --spec "passagemath-lrslib[test]" ipython
In [1]: from sage.features.lrs import LrsNash
In [2]: LrsNash().absolute_filename()
Out[2]: '/Users/mkoeppe/.local/pipx/.cache/db3f5a0e2996f81/lib/python3.11/site-packages/sage_wheels/bin/lrsnash'
Use with sage.game_theory <https://doc.sagemath.org/html/en/reference/game_theory/index.html>
_::
$ pipx run --pip-args="--prefer-binary" --spec "passagemath-lrslib[test]" ipython
In [1]: from sage.all__sagemath_lrslib import *
In [2]: A = matrix([[1, -1], [-1, 1]]); B = matrix([[-1, 1], [1, -1]])
In [3]: matching_pennies = NormalFormGame([A, B])
In [4]: matching_pennies.obtain_nash(algorithm='lrs')
Out[4]: [[(1/2, 1/2), (1/2, 1/2)]]
FAQs
passagemath: Reverse search for vertex enumeration and convex hulls with lrslib
We found that passagemath-lrslib demonstrated a healthy version release cadence and project activity because the last version was released less than a year ago. It has 0 open source maintainers collaborating on the project.
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