passagemath-lrslib 10.6.39

passagemath: Reverse search for vertex enumeration and convex hulls with lrslib

passagemath is open source mathematical software in Python, released under the GNU General Public Licence GPLv2+.

It is a fork of SageMath, which has been developed 2005-2025 under the motto “Creating a Viable Open Source Alternative to Magma, Maple, Mathematica, and MATLAB”.

The passagemath fork uses the motto “Creating a Free Passage Between the Scientific Python Ecosystem and Mathematical Software Communities.” It was created in October 2024 with the following goals:

• providing modularized installation with pip,

• establishing first-class membership in the scientific Python ecosystem,

• giving clear attribution of upstream projects,

• providing independently usable Python interfaces to upstream libraries,

• offering platform portability and integration testing services to upstream projects,

• inviting collaborations with upstream projects,

• building a professional, respectful, inclusive community,

• empowering Sage users to participate in the scientific Python ecosystem by publishing packages,

• developing a port to Pyodide for serverless deployment with Javascript,

• developing a native Windows port.

Full documentation is available online.

passagemath attempts to support and provides binary wheels suitable for all major Linux distributions and recent versions of macOS.

Binary wheels for native Windows (x86_64) are are available for a subset of the passagemath distributions. Use of the full functionality of passagemath on Windows currently requires the use of Windows Subsystem for Linux (WSL) or virtualization.

The supported Python versions in the passagemath 10.6.x series are 3.10.x-3.13.x.

About this pip-installable distribution package

This pip-installable distribution passagemath-lrslib provides an interface to lrslib by David Avis, an implementation of the reverse search algorithm for vertex enumeration and convex hull problems.

What is included

• Binary wheels on PyPI contain prebuilt copies of lrslib executables.

Examples

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:

$ pipx run --pip-args="--prefer-binary" --spec "passagemath-lrslib[test]" ipython

In [1]: from passagemath_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)]]