Arithmetic Congruence Monoids (ACM)

Description

This Rust project implements Arithmetic Congruence Monoids (ACMs), presented in a YAML-based configuration. ACMs are defined as (M_{a,b} = {a + bm : m \in \mathbb{Z}_{\geq 0}} \cup {1} = {1, a, a+b, a+2b,\ldots}). This project provides tools for factorizing integers into elements of the ACM, studying the atomic density of ACMs, and understanding the distribution of atoms within these monoids. Additionally, a graphical user interface (GUI) has been introduced to facilitate interactive exploration of ACM properties.

Features

• Factorization into ACM elements: Identify elements within an ACM that cannot be expressed as the product of smaller ACM elements, known as atoms.
• Atomic Density Study: Analyze the atomic density of different ACMs to understand the spacing between atoms within the monoid.
• CLI Tool: A command-line interface tool, acm-cli, is provided for testing the main ACM module and the divisors/factorize submodules.
• GUI Application: A new graphical user interface is available for a more interactive exploration of ACMs. It allows users to visually engage with the ACM properties and perform calculations in a user-friendly environment.

Optimizations and Improvements

• Parallel processing capabilities have been implemented using the rayon crate.
• The sum_vector_parallel function has been added for parallel summation of vector elements.
• Performance Optimization: Code optimization has been performed to improve the application's performance, making it more attractive to users and increasing the chances of passing the anti-spam check.

Getting Started

Installation on Windows

1. Download the project archive from GitHub.
2. Unzip the archive in a location of your choice.
3. Open the command prompt and navigate to the project directory.
4. Run the command cargo build --release to build the project.

Installation on Linux

1. Open the terminal.

2. Clone the project repository using the command git clone https://github.com/FullPlay0/acm2.

3. Navigate to the directory with the project.

4. Run the command cargo build --release to build the project.

5. Clone the Repository:

   git clone https://github.com/FullPlay0/acm2