https://github.com/reity/pratts
Pure-Python library that enables generation and verification of Pratt certificates for prime numbers.
https://github.com/reity/pratts
mathematics-library number-theory primality-certificate prime-numbers prime-numbers-algorithm
Last synced: 8 months ago
JSON representation
Pure-Python library that enables generation and verification of Pratt certificates for prime numbers.
- Host: GitHub
- URL: https://github.com/reity/pratts
- Owner: reity
- License: mit
- Created: 2024-02-11T00:30:06.000Z (almost 2 years ago)
- Default Branch: main
- Last Pushed: 2025-04-04T03:00:07.000Z (8 months ago)
- Last Synced: 2025-04-04T04:18:27.066Z (8 months ago)
- Topics: mathematics-library, number-theory, primality-certificate, prime-numbers, prime-numbers-algorithm
- Language: Python
- Homepage: https://pypi.org/project/pratts
- Size: 23.4 KB
- Stars: 0
- Watchers: 1
- Forks: 0
- Open Issues: 0
-
Metadata Files:
- Readme: README.rst
- License: LICENSE
Awesome Lists containing this project
README
======
pratts
======
Pure-Python library that enables generation and verification of `Pratt certificates `__ for prime numbers.
|pypi| |readthedocs| |actions| |coveralls|
.. |pypi| image:: https://badge.fury.io/py/pratts.svg#
:target: https://badge.fury.io/py/pratts
:alt: PyPI version and link.
.. |readthedocs| image:: https://readthedocs.org/projects/pratts/badge/?version=latest
:target: https://pratts.readthedocs.io/en/latest/?badge=latest
:alt: Read the Docs documentation status.
.. |actions| image:: https://github.com/reity/pratts/workflows/lint-test-cover-docs/badge.svg#
:target: https://github.com/reity/pratts/actions/workflows/lint-test-cover-docs.yml
:alt: GitHub Actions status.
.. |coveralls| image:: https://coveralls.io/repos/github/reity/pratts/badge.svg?branch=main
:target: https://coveralls.io/github/reity/pratts?branch=main
:alt: Coveralls test coverage summary.
Installation and Usage
----------------------
This library is available as a `package on PyPI `__:
.. code-block:: bash
python -m pip install pratts
The library can be imported in the usual manner:
.. code-block:: python
import pratts
from pratts import pratts
Examples
^^^^^^^^
To generate a `Pratt certificate `__ for a prime number, it is sufficient to supply an iterable of appropriately chosen primes that make it possible to recursively construct the certificate:
.. code-block:: python
>>> pratts(241, [2, 3, 5])
{2: [], 3: [2], 5: [2], 241: [2, 3, 5]}
.. |primefactors| replace:: ``primefactors``
.. _primefactors: https://docs.sympy.org/latest/modules/ntheory.html#sympy.ntheory.factor_.primefactors
Alternatively, a function that returns prime factors can be supplied (such as the |primefactors|_ function that is available in the `SymPy library `__):
.. code-block:: python
>>> from sympy import primefactors
>>> pratts(241, primefactors)
{2: [], 3: [2], 5: [2], 241: [2, 3, 5]}
A certificate can be verified by supplying its keys (such that the same certificate is generated and returned):
.. code-block:: python
>>> certificate = pratts(1011235813471123581347, primefactors)
>>> pratts(1011235813471123581347, certificate.keys()) is not None
True
>>> pratts(1011235813471123581347, certificate.keys()) == certificate
True
Development
-----------
All installation and development dependencies are fully specified in ``pyproject.toml``. The ``project.optional-dependencies`` object is used to `specify optional requirements `__ for various development tasks. This makes it possible to specify additional options (such as ``docs``, ``lint``, and so on) when performing installation using `pip `__:
.. code-block:: bash
python -m pip install ".[docs,lint]"
Documentation
^^^^^^^^^^^^^
The documentation can be generated automatically from the source files using `Sphinx `__:
.. code-block:: bash
python -m pip install ".[docs]"
cd docs
sphinx-apidoc -f -E --templatedir=_templates -o _source .. && make html
Testing and Conventions
^^^^^^^^^^^^^^^^^^^^^^^
All unit tests are executed and their coverage is measured when using `pytest `__ (see the ``pyproject.toml`` file for configuration details):
.. code-block:: bash
python -m pip install ".[test]"
python -m pytest
Alternatively, all unit tests are included in the module itself and can be executed using `doctest `__:
.. code-block:: bash
python src/pratts/pratts.py -v
Style conventions are enforced using `Pylint `__:
.. code-block:: bash
python -m pip install ".[lint]"
python -m pylint src/pratts
Contributions
^^^^^^^^^^^^^
In order to contribute to the source code, open an issue or submit a pull request on the `GitHub page `__ for this library.
Versioning
^^^^^^^^^^
The version number format for this library and the changes to the library associated with version number increments conform with `Semantic Versioning 2.0.0 `__.
Publishing
^^^^^^^^^^
This library can be published as a `package on PyPI `__ via the GitHub Actions workflow found in ``.github/workflows/build-publish-sign-release.yml`` that follows the `recommendations found in the Python Packaging User Guide `__.
Ensure that the correct version number appears in ``pyproject.toml``, and that any links in this README document to the Read the Docs documentation of this package (or its dependencies) have appropriate version numbers. Also ensure that the Read the Docs project for this library has an `automation rule `__ that activates and sets as the default all tagged versions.
To publish the package, create and push a tag for the version being published (replacing ``?.?.?`` with the version number):
.. code-block:: bash
git tag ?.?.?
git push origin ?.?.?