Numerixx: A Header-Only C++ Library for Numerical Computations

Numerixx is a header-only C++ library that prioritizes ease of use and encapsulation, providing a collection of numerical computation algorithms for common tasks. While performance is important, the primary focus is on offering user-friendly interfaces and easy extensibility. The library covers algorithms for numerical derivatives, polynomials, one-dimensional root finding, root searching, and multi-dimensional root finding. Additional algorithms will be added in the future.

Features

• User-friendly interfaces: Easily integrate numerical computations into your projects with intuitive function calls and classes.
• Polynomial operations: Evaluate, differentiate, integrate, and manipulate polynomials with ease.
• One-dimensional root finding: Quickly find roots of functions using both bracketing and polishing methods.
• Root searching: Identify brackets where roots may be found for further root-finding iterations.
• Multidimensional root finding: Solve systems of equations to find multidimensional roots.

Getting Started

1. Clone the Numerixx repository:

   git clone https://github.com/troldal/numerixx.git

2. Add the include directory to your project's include path.

3. Include the desired header files in your source code.

Example Usage

#include <iostream>
#include "numerixx/numerixx.hpp"

int main() {
// Calculate the derivative of a function
double result = numerixx::derivative([](double x) { return x * x; }, 2.0);

    std::cout << "Derivative at x = 2: " << result << std::endl;

    // Find a root of a function
    double root = numerixx::findRoot([](double x) { return x * x - 4.0; }, 0.0, 3.0);

    std::cout << "Root: " << root << std::endl;

    // ... More examples ...
    
    return 0;
}

Documentation

For detailed usage instructions, function references, and examples, please refer to the Numerixx Documentation.

Contributing

Contributions to Numerixx are welcome! If you find any issues or want to add new features, please submit a pull request or open an issue in the repository.

License

This project is licensed under the MIT License.

Acknowledgments

Numerixx is inspired by the need for efficient and reliable numerical computation tools in C++. It draws inspiration from various numerical analysis textbooks and open-source libraries.