openMTPK is an open-source (intended) mathematics package written in C++ with a primary focus on Numbery Theory and Cryptographic algorithms, Linear Algebra, and Machine/Deep learning concepts as well as a range of language API's. openMTPK aims to provide options for pre-built functions, models, etc. along with modularity for user freedom. Look in the samples folder for examples on how to use some of openMTPK's functionalities.

openMTPK C++ & Python is tested on the following:

OS	Architecture	Status
OSX Monterey 12.6.3	x86
RasPi OS	ARMv6/v7
bullseye 11.6	ARMv6
ubuntu 22.10	ARMv7
ubuntu 22.10	ARMv8
ubuntu 22.10	RISCV64
ubuntu 22.10	S390X
ubuntu 22.10	PPC64LE

Note Testing on Apple specific hardware (M1, M2) is in progress.

To install the Python interface, use the pip package manager and run the following, pip install openmtpk. Additional hardware support is available with SWIG as a dependency for the pip installation.

• Linux/OSX
• CMake >=v3.24 (build from source for latest version)
• C++20
• g++12

# clone repo
$ git clone [email protected]:akielaries/openMTPK.git
$ cd openMTPK
# create build dir
$ mkdir build && cd build
# create necessary objects and static library
$ cmake -S ..
$ make
# install necessary headers and library in correct directories
$ sudo make install

Note Keep the build directory for easy uninstallation. This process asumes your STDLIB path is /usr/local/lib, where most 3rd-party libs are located if not, run the following:

$ LD_LIBRARY_PATH=/usr/local/lib

To test the installation build some of the example drivers in the projects samples directory.

# compile yourself
$ cd samples
$ g++ cipher.cpp -lopenMTPK -o cipher
$ g++ arith.cpp -lopenMTPK -o arith
# script to test all modules and their drivers
# using the projects root makefile
$ cd scripts && ./all.sh

To uninstall files related to openMTPK, simply run the following:

# enter the build dir from installation
$ cd build
$ sudo make uninstall

During early stages, modules will be developed in breadth while focusing on depth in later stages of the PRE-V1.0.0 phase. The modules below are all in progress.

1. Arithmetic
2. Calculus
   • Differential
3. Linear Algebra
   • Vector Operations
   • Matrix Operations
4. Machine/Deep Learning
   • Regression
   • Cross-Validation
   • K-Nearest Neighbors
   • Neural Networks
   • Classifiers
5. Number Theory
   • Primes
   • Cryptography
6. Topology/Complex
   • Dynamical Systems
   • Topology
   • Spline

For more details view the project documentation.

View the simple examples on how to use some of the modules in different languages here.

# clone the repo and enter
$ git clone [email protected]:akielaries/openMTPK.git 
$ cd openMTPK

# to run all examples 
$ ./all.sh

# to remove the generated binaries
$ make clean-mods

# run unit tests and other checking methods
$ make run-tests

# clean up generated test files
$ make clean-tests

Example C++ driver file for running Caesar Cipher & Mono-Alphabetic Substitution Keyword cipher:

#include <iostream>
#include <string>
// include the number theory module header
#include <openMTPK/number_theory.hpp>

int main() {
    // declare CIPHER class obj
    mtpk::Cipher cc;

    /* CAESAR CIPHER */
    std::string text0 = "Plaintext";
    int shift_key_0 = 5;
    std::string hashtext_0 = cc.caesar(text0, shift_key_0);
    std::cout << "Hashtext0 = " << hashtext_0 << std::endl;

    /* TESTING MONOALPHABETIC SUBSTITUION KEYWORD CIPHER */
    std::string shift_key_2 = "Computer";
    std::string text2 = "Password";
    // encode the plaintext
    std::string encoded_text = cc.keyword_encode(shift_key_2);
    // call the cipher function
    std::string hashtext_2 = cc.keyword(text2 , encoded_text);

    std::cout << "Hashtext2 = " << hashtext_2 << std::endl;

    return 0;
}

A Python example showing the same functionalities.

#!/usr/bin/python3
# import the Number Theory module
from openmtpk import nt

c = Cipher()
ciphertext_0 = c.caesar('Plaintext', 5)
print(ciphertext_0)

ciphertext_1 = c.caesar('ATTACKATONCE', 4)
print(ciphertext_1)

text = "Password"
shift = "Computer"
encoded_text = c.keyword_encode(shift);
hashtext = c.keyword(text, encoded_text);
print(hashtext)