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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.

PyPI version and link.

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

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Files for lagrange, version 0.1.0.0
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