😁 Welcome!!

Contents

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

🧮 PyAlgebraLib

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.

🚀 Quick start

pip install PyAlgebraLib

You can import the module:

import PyAlgebraLib as ap

✨ Features

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.

📦 Installation and Usage

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'

📜 Supported operations:

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