pratts 0.1.0

Pure-Python library that enables generation and verification of Pratt certificates for prime numbers.

Pure-Python library that enables generation and verification of Pratt certificates for prime numbers.

Installation and Usage

This library is available as a package on PyPI:

python -m pip install pratts

The library can be imported in the usual manner:

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:

>>> pratts(241, [2, 3, 5])
{2: [], 3: [2], 5: [2], 241: [2, 3, 5]}

Alternatively, a function that returns prime factors can be supplied (such as the primefactors function that is available in the SymPy library):

>>> 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):

>>> 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:

python -m pip install ".[docs,lint]"

Documentation

The documentation can be generated automatically from the source files using Sphinx:

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):

python -m pip install ".[test]"
python -m pytest

Alternatively, all unit tests are included in the module itself and can be executed using doctest:

python src/pratts/pratts.py -v

Style conventions are enforced using Pylint:

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):

git tag ?.?.?
git push origin ?.?.?