Skip to main content

Pure-Python implementation of Lagrange interpolation over finite fields.

Project description

Pure-Python implementation of Lagrange interpolation over finite fields.

PyPI version and link. Read the Docs documentation status. GitHub Actions status. Coveralls test coverage summary.

Purpose

This library provides a pure-Python implementation of the Lagrange interpolation algorithm over finite fields.

Installation and Usage

This library is available as a package on PyPI:

python -m pip install lagrange

The library can be imported in the usual way:

from lagrange import lagrange

Examples

Interpolation can be performed on collections of points represented in a variety of ways:

>>> lagrange({1: 15, 2: 9, 3: 3}, 17)
4
>>> lagrange([(1, 15), (2, 9), (3, 3)], 17)
4
>>> lagrange([15, 9, 3], 17)
4
>>> lagrange(\
    {1: 119182, 2: 11988467, 3: 6052427, 4: 8694701,\
     5: 9050123, 6: 3676518, 7: 558333, 8: 12198248,\
     9: 7344866, 10: 10114014, 11: 2239291, 12: 2515398},\
    15485867)
123
>>> lagrange(\
    [119182, 11988467, 6052427, 8694701, 9050123, 3676518,\
     558333, 12198248, 7344866, 10114014, 2239291, 2515398],\
    15485867)
123

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/lagrange/lagrange.py -v

Style conventions are enforced using Pylint:

python -m pip install .[lint]
python -m pylint src/lagrange

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

Beginning with version 0.2.0, 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 by a package maintainer. First, install the dependencies required for packaging and publishing:

python -m pip install .[publish]

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. Create and push a tag for this version (replacing ?.?.? with the version number):

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

Remove any old build/distribution files. Then, package the source into a distribution archive:

rm -rf build dist src/*.egg-info
python -m build --sdist --wheel .

Finally, upload the package distribution archive to PyPI:

python -m twine upload dist/*

Project details


Download files

Download the file for your platform. If you're not sure which to choose, learn more about installing packages.

Source Distribution

lagrange-2.1.0.tar.gz (6.7 kB view details)

Uploaded Source

Built Distribution

lagrange-2.1.0-py3-none-any.whl (6.9 kB view details)

Uploaded Python 3

File details

Details for the file lagrange-2.1.0.tar.gz.

File metadata

  • Download URL: lagrange-2.1.0.tar.gz
  • Upload date:
  • Size: 6.7 kB
  • Tags: Source
  • Uploaded using Trusted Publishing? No
  • Uploaded via: twine/4.0.2 CPython/3.10.2

File hashes

Hashes for lagrange-2.1.0.tar.gz
Algorithm Hash digest
SHA256 dbc53d97ded975d1946ec1118717cbb0f5f1248f0e6a4e35df2a9b39d5fadb53
MD5 a14f9293a94d516a8cb46a5ac5be1077
BLAKE2b-256 161e1da250de10ac01a62d186877492a7da6a77b3fb398c22550b0674da0b00c

See more details on using hashes here.

File details

Details for the file lagrange-2.1.0-py3-none-any.whl.

File metadata

  • Download URL: lagrange-2.1.0-py3-none-any.whl
  • Upload date:
  • Size: 6.9 kB
  • Tags: Python 3
  • Uploaded using Trusted Publishing? No
  • Uploaded via: twine/4.0.2 CPython/3.10.2

File hashes

Hashes for lagrange-2.1.0-py3-none-any.whl
Algorithm Hash digest
SHA256 473c63859cd0433565f6ad7f0fa614daa6fb784e518131abce862ecf775b739c
MD5 05a40e9ae83ed51732379a9f6e4dd868
BLAKE2b-256 68092f342d5f6847c1a6d22a94a64f814a76fd37181ae1729d6911d5bc3a1880

See more details on using hashes here.

Supported by

AWS AWS Cloud computing and Security Sponsor Datadog Datadog Monitoring Fastly Fastly CDN Google Google Download Analytics Microsoft Microsoft PSF Sponsor Pingdom Pingdom Monitoring Sentry Sentry Error logging StatusPage StatusPage Status page