• 😁 Welcome!!
• Contents
• 🧮 PyAlgebraLib
• 🚀 Quick start
• ✨ Features
• 📦 Installation and Usage
• 📜 Supported operations:

Simple Python program to perform algebra operations using efficient algorithms like Karatsuba's algorithm for multiplication or Extended Euclidean Algorithm for great common divisor (GCD).

This program is intended to be lighweight (no dependencies) and very efficient.

pip install PyAlgebraLib

You can import the module:

import PyAlgebraLib as ap

Can operate with numbers from base 2 to base 16. Without converting between bases in each operation.

Note: Each number has to be inputted and will be returned as a string, except the base.

pip install PyAlgebraLib

You can import the module:

import PyAlgebraLib as ap

Then, you can perform operations like:

pa.karatsuba("364da","-13f", 16)      # Multiplication (karatsuba algorithm)
pa.extEuclid("-1460","44321521", 7)   # GCD (Extended)

The output is either a string or a tuple with the result(s), look into the specific function docstrings for more information.

Example:

pa.extEuclid("-1460","44321521", 7)
# Output: ('1', '-20066304', '511')

pa.modularInversion("9a1aa8a02232", "a6a722a", 11)
# Output: '3293845'

- Addition
- Subtraction 
- Multiplication (Normal "primary school method" + Karatsuba algorithm)
- Division
- GCD of 2 numbers (Extended Euclidean algorithm)
- Modular Arithmetic:
    - Reduction
    - Addition
    - Subtraction
    - Multiplication
    - Inversion