https://github.com/mkauers/ore_algebra/
A Sage implementation of Ore algebras, Ore polynomials, and differentially finite functions
Main features for the most common algebras include basic arithmetic and actions; gcrd and lclm; D-finite closure properties; creative telescoping; natural transformations between related algebras; guessing; desingularization; solvers for polynomials, rational functions and (generalized) power series. Univariate differential operators also support the numerical computation of analytic solutions with rigorous error bounds and related features.
Distributed under the terms of the GNU General Public License (GPL, see the COPYING file), either version 2 or (at your option) any later version
Sage 9.0 or later is required.
To download and install the latest development version on a system where Sage was built from source or installed from official packages, run
sage -pip install --no-build-isolation git+https://github.com/mkauers/ore_algebra.git
or
sage -pip install --user --no-build-isolation git+https://github.com/mkauers/ore_algebra.git
Note the important --no-build-isolation flag, which causes pip to use the
installed Sage library while building the package.
The optional --user flag causes the package to be installed in your .sage
directory instead of the Sage installation tree.
Alternatively, run (square brackets indicate optional flags)
sage -pip install [--user] --no-build-isolation [--editable] .
from the root of a local git checkout. The --editable flag causes the
"installed" version to point to your local checkout, making it easier,
if you edit the code, to run the modified version. See the pip documentation
for more installation options.
Microsoft Windows users should run the above commands in a "SageMath shell", see
Apple macOS users may need additional steps before they are able to add external packages to their Sage installations. See
for more information.
Apple users should check whether gcc is aliased to clang. If so, we recommend installing gcc using homebrew, then run
export CC=gcc-14
in the terminal directly before installing ore_algebra.
If your copy of Sage comes from operating system packages (e.g., Debian, Ubuntu,
Gentoo, or Arch Linux packages), try replacing sage -pip by pip or pip3
above.
You may need development packages that are not automatically installed as dependencies of the main SageMath package, e.g., a C/C++ compiler, the Cython compiler, and header files for Linbox, Pari, and Singular.
For example, Debian and Ubuntu users need to install the liblinbox-dev,
libpari-dev and libsingular-dev packages (and possibly others) in addition
to the sagemath package. The command apt build-dep sagemath can be used to
install all necessary development packages (and more).
Arch Linux users will need at least the cython and python-pkgconfig
packages.
Create and activate a virtual environment:
python3 -m venv venv_ore_algebra
. venv_ore_algebra/bin/activate
Install the package in the virtual environment:
pip install "ore_algebra[passagemath] @ git+https://github.com/mkauers/ore_algebra.git"
This automatically installs the modularized parts of the Sage library that are needed by the package. (These modularized distributions are provided by https://github.com/passagemath.)
The documentation generated from the doc strings is available online at
To run the test suite, install the package and run the command
sage -tp --long --force-lib src/
at the root of the git checkout.
Manuel Kauers [email protected]