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passagemath: Certified root continuation with sirocco

Project description

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:

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-sirocco provides a Cython interface to the sirocco library for computing topologically certified root continuation of bivariate polynomials.

What is included

Examples

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

In [1]: from passagemath_sirocco import *

In [2]: from sage.libs.sirocco import contpath

In [3]: pol = list(map(RR,[0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]))

In [4]: contpath(2, pol, RR(0), RR(0))
Out[4]:
[(0.0, 0.0, 0.0),
 (0.3535533905932738, -0.12500000000000003, 0.0),
 (0.7071067811865476, -0.5000000000000001, 0.0),
 (1.0, -1.0, 0.0)]

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