Python library with a basic native implementation of Lagrange interpolation over finite fields.
Project description
Python library with a basic native implementation of Lagrange interpolation over finite fields.
Purpose
Native implementation of the Lagrange interpolation algorithm over finite fields.
Package Installation and Usage
The package is available 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 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(((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
Testing and Conventions
All unit tests are executed and their coverage is measured when using nose (see setup.cfg for configution details):
nosetests
Alternatively, all unit tests are included in the module itself and can be executed using doctest:
python lagrange/lagrange.py -v
Style conventions are enforced using Pylint:
pylint 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.
Project details
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