mathx

Table of Contents

• Introduction
• Getting Started
• Projects
• Optimization Techniques
• Contributing
• License

Introduction

This repository serves as a hub for mathematical experimentations and performance optimizations in Golang. Whether you're working on numerical methods, linear algebra, or statistical analysis, our goal is to explore and implement the best practices and techniques to make these computations faster and more memory-efficient.

Getting Started

Prerequisites

Before you start, ensure you have the following installed:

• Golang version 1.18 or higher.
• A code editor like Visual Studio Code or GoLand.

Installation

Clone the repository:

git clone https://github.com/renatosaksanni/mathx.git
cd mathx

Install dependencies:

go mod tidy

Projects

Current Projects

1. Cryptography/ECC: ECC is based on the algebraic structure of elliptic curves over finite fields. It provides the same level of security as other cryptographic methods with smaller key sizes, making it more efficient.

2. Cryptography/ECDH: key exchange protocol that allows two parties to establish a shared secret over an insecure channel. This shared secret can then be used to derive encryption keys for secure communication. ECDH is a variant of the Diffie-Hellman key exchange method, which uses the properties of elliptic curves to achieve its cryptographic strength.

Optimization Techniques

Memory Management

• Preallocation: Preallocate slices and arrays to avoid dynamic memory allocations during computations.
• Pooling: Use sync.Pool for managing temporary objects and reducing garbage collection overhead.

Parallel Processing

• Goroutines: Leverage Golang’s concurrency model using goroutines and channels for parallel computations.
• Worker Pools: Implement worker pools to manage and distribute computational tasks efficiently.

Profiling and Benchmarking

• pprof: Use the pprof tool to profile CPU and memory usage, identifying bottlenecks and optimizing performance.
• Benchmarking: Implement benchmarks using the testing package to measure and compare the performance of different algorithms.

Real-World Examples

We include real-world examples and case studies demonstrating how these techniques have been applied to achieve significant performance improvements.

Contributing

We welcome contributions from the community! Here’s how you can help:

1. Fork the repository
2. Create a new branch (git checkout -b feature-branch)
3. Make your changes and commit them (git commit -m 'Add some feature')
4. Push to the branch (git push origin feature-branch)
5. Open a Pull Request

Please read our Contributing Guide for more details on our code of conduct and the process for submitting pull requests.

License

This project is licensed under the MIT License. See the LICENSE file for more details.

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Feel free to explore, contribute, and help us push the boundaries of what can be achieved with mathematical computations in Golang!