hahaslav / Integer

Very long integer class and some methods for it

Very long integer class TInteger with various methods of multiplying methods, primality checking methods and other, in C++.

TInteger class overloaded operators:

• Arithmetic: + - * / %
• Comparison: == != > >= < <=
• Type conversion: std::string int
• Ostream/cout <<

Implemented methods:

• Karatsuba multiplication method
• Tom-Cook multiplication method
• The Best Multiplication Method Ever 🤩 (WOW)
• Newton's inverse method
• Fermat primality check method
• Rabin-Miller primality check method
• Solovay-Strassen primality check method
• Agrawal-Kayal-Saxena primality check method

Building

To build an executable for 64-bit Windows, I used MinGW w64 9.0 and CMake 3.23.2. More

Usage

The app takes arguments from a shell.

Usage: integer.exe [number of a method] [first integer] {second integer}

Numbers of the methods:

• 0 - Output the given integers
• 1 - Karatsuba multiplication method
• 2 - Tom-Cook multiplication method
• 5 - Newton's inverse method
• 7 - Fermat primality check method
• 8 - Rabin-Miller primality check method
• 9 - Solovay-Strassen primality check method
• 10 - Agrawal-Kayal-Saxena primality check method
• 11 - Sum
• 12 - Subtraction
• 13 - Multiplication "in column"
• 14 - Division
• 15 - Remainder from division
• 16 - The Best Multiplication Method Ever 🤩 (WOW)

Testing

This repository also contains a testing script in Python that runs all methods with random numbers, compares the results with python's fast and (I hope) correct results. To use this script, you need to install sympy (or remove the parts of the script that tests the primality check methods). After running the script, you can check a report in test.txt, where you can find out if the test was passed, its inputs and outputs and how much time it took to finish.