passagemath-cmr 10.8.6

passagemath: Combinatorial matrix recognition

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 2005-2026 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 from binary wheels, - this major project was started in May 2020 in the Sage codebase and completed in passagemath 10.5.29 (May 2025),

• 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 WebAssembly (Pyodide, emscripten-forge) for serverless deployment with Javascript,

• developing a native Windows port - passagemath 10.6.1 (July 2025) published the first pip-installable wheel packages for native Windows on x86_64, - passagemath packages became available in the [MSYS2 software distribution](https://packages.msys2.org/search?t=pkg&q=passagemath) in November 2025.

Moreover, the passagemath project:

• provides a stable, frequently updated version of the Sage distribution,

• integrates additional mathematical software, notably Macaulay2, a full set of GAP packages, and the Combinatorial Matrix Recognition library,

• curates a library of Sage user packages.

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, ARM) 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-10.8.x series are 3.11.x-3.14.x; the passagemath-10.6.x series (EOL 2026-10) still supports Python 3.10.x.

About this pip-installable distribution package

This pip-installable distribution passagemath-cmr is a small optional distribution for use with passagemath-modules and passagemath-graphs.

It provides a Cython interface to the CMR library, which implements recognition and decomposition algorithms for:

• Totally Unimodular Matrices

• Network Matrices

• Complementary Totally Unimodular Matrices

• (Strongly) Equimodular and Unimodular Matrices

• Regular Matroids

• Graphic / Cographic / Planar Matrices

• Series-Parallel Matroids

Examples

$ pipx run --spec "passagemath-cmr[test]" ipython

In [1]: from passagemath_cmr import *

In [2]: from sage.matrix.matrix_cmr_sparse import Matrix_cmr_chr_sparse

In [3]: M = Matrix_cmr_chr_sparse(MatrixSpace(ZZ, 3, 3, sparse=True), [[1, 0, 1], [0, 1, 1], [1, 2, 3]]); M
Out[3]:
[1 0 1]
[0 1 1]
[1 2 3]

In [4]: M.is_unimodular()
Out[4]: True

In [5]: M.is_strongly_unimodular()
Out[5]: False

Development

$ git clone --origin passagemath https://github.com/passagemath/passagemath.git  # or use your fork
$ cd passagemath
passagemath $ ./bootstrap
passagemath $ source ./.homebrew-build-env         # on macOS when homebrew is in use
passagemath $ export PATH=/usr/local/sbin:/usr/local/bin:/usr/sbin:/usr/bin:/sbin:/bin:/usr/lib/wsl/lib  # on WSL
passagemath $ export PIP_CONSTRAINT="$(pwd)/constraints_cmr.txt"
passagemath $ export PIP_BUILD_CONSTRAINT="$(pwd)/constraints_cmr.txt"
passagemath $ echo "passagemath-categories @ file://$(pwd)/pkgs/sagemath-categories" >> constraints_cmr.txt
passagemath $ echo "passagemath-modules @ file://$(pwd)/pkgs/sagemath-modules" >> constraints_cmr.txt
passagemath $ python3 -m venv cmr-venv
passagemath $ source cmr-venv/bin/activate
(cmr-venv) passagemath $ pip install -v -e pkgs/sagemath-cmr        \
                                        -e pkgs/sagemath-modules    \
                                        -e pkgs/sagemath-categories

Modularized use:

(cmr-venv) passagemath $ pip install -v passagemath-repl
(cmr-venv) passagemath $ sage
... sage.all is not available ...
sage: from passagemath_modules import *
sage: matroids.Uniform(3, 4)
U(3, 4): Matroid of rank 3 on 4 elements with circuit-closures
{3: {{0, 1, 2, 3}}}

In plain Python:

(cmr-venv) passagemath $ python3
>>> from passagemath_modules import *
>>> matroids.Uniform(3, 4)
U(3, 4): Matroid of rank 3 on 4 elements with circuit-closures
{3: {{0, 1, 2, 3}}}

For full functionality of Sage:

(cmr-venv) passagemath $ pip install -v passagemath-standard
(cmr-venv) passagemath $ sage
sage: matroids.Uniform(3, 4)
U(3, 4): Matroid of rank 3 on 4 elements with circuit-closures
{3: {{0, 1, 2, 3}}}