passagemath-combinat 10.5.49

passagemath: Algebraic combinatorics, combinatorial representation theory

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 was created in October 2024 with the following goals:

• providing modularized installation with pip, thus completing a major project started in 2020 in the Sage codebase,

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

• giving clear attribution of upstream projects,

• providing independently usable Python interfaces to upstream libraries,

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

• inviting collaborations with upstream projects,

• building a professional, respectful, inclusive community,

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

• developing a native Windows port.

Full documentation 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.

About this pip-installable distribution package

This pip-installable source distribution passagemath-combinat is a distribution of a part of the Sage library. It provides a small subset of the modules of the Sage library (“sagelib”, sagemath-standard).

What is included

• Enumerative Combinatorics: Partitions, Tableaux

• Combinatorics on Words, Free Monoids, Automatic Semigroups

• Symmetric Functions, other Algebras with combinatorial bases

• see https://github.com/passagemath/passagemath/blob/main/pkgs/sagemath-combinat/MANIFEST.in

Examples

A quick way to try it out interactively:

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

In [1]: from sage.all__sagemath_combinat import *

In [2]: RowStandardTableaux([3,2,1]).cardinality()
Out[2]: 60

Available as extras, from other distribution packages

• passagemath-graphs: Graphs, posets, finite state machines, combinatorial designs, incidence structures, quivers

• passagemath-modules: Modules and algebras, root systems, coding theory

• passagemath-polyhedra: Polyhedra, lattice points, hyperplane arrangements

Development

$ git clone --origin passagemath https://github.com/passagemath/passagemath.git
$ cd passagemath
passagemath $ ./bootstrap
passagemath $ python3 -m venv combinat-venv
passagemath $ source combinat-venv/bin/activate
(combinat-venv) passagemath $ pip install -v -e pkgs/sagemath-combinat