mathxyz 0.1.0

# mathxyz

**mathxyz** is a state-of-the-art math solver library that leverages advanced symbolic, numerical to solve a wide range of mathematical problems with high accuracy and efficiency. Whether you need to multiply massive integers, compute derivatives and integrals, solve differential equations, or perform optimization, mathxyz provides a robust, high-performance solution.

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## Features

- **High-Precision Integer Multiplication:**  
  Multiply very large integers exactly using FFT-based convolution.

- **Efficient Exponentiation:**  
  Compute powers using fast exponentiation with memoization and display results in both exact and scientific notation.

- **High-Precision Division:**  
  Perform division using the Newton-Raphson method to compute reciprocals with adjustable precision.

- **Advanced Symbolic and Numerical Solving:**  
  Solve algebraic equations, transcendental equations, and even complex differential equations using the powerful capabilities of [Sympy](https://www.sympy.org/).

- **AI-Inspired Problem Parsing:**  
  Uses regex-based pattern recognition to intelligently detect and parse derivatives, integrals, differential equations, and optimization problems from plain text input.

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## Installation

You can install mathxyz via [PyPI](https://pypi.org/):

```bash
pip install mathxyz

Or clone the repository and install manually:

git clone https://github.com/mr-r0ot/mathxyz.git
cd mathxyz
pip install .

Usage

Below are some examples to get you started:

Solve an Algebraic Equation

import mathxyz

result = mathxyz.math_solver("2*x + 3 = 7")
print(result)  
# Output: Symbolic solution: {x: 2}

Compute a Derivative

import mathxyz

result = mathxyz.math_solver("derivative(sin(x), x)")
print(result)
# Output: Derivative of sin(x) with respect to x:
#         cos(x)

Compute an Integral

import mathxyz

result = mathxyz.math_solver("integral(x**2, x)")
print(result)
# Output: Integral of x**2 with respect to x:
#         x**3/3 + C

Solve a Differential Equation

import mathxyz

result = mathxyz.math_solver("dsolve(Derivative(y(x), x) - y(x), y(x))")
print(result)
# Output: Differential equation solution: y(x) = C1*exp(x)

Optimization Example

import mathxyz

result = mathxyz.math_solver("maximize(x**2 - 4*x + 4)")
print(result)
# Output: Maximize of x**2 - 4*x + 4 at x = ... with value ...

High-Precision Multiplication

import mathxyz

result = mathxyz.multiply(12345678901234567890, 987654321)
print(result)
# Output: 121932631137021795223746380111126352690

Documentation

For full documentation, including detailed API references and advanced usage examples, please visit the GitHub repository.

Contributing

Contributions, issues, and feature requests are welcome!
Feel free to check issues page if you want to contribute.

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

License

This project is licensed under the MIT License.

Author

Muhammad Taha Gorji
GitHub: mr-r0ot

mathxyz aims to be the ultimate solution for solving complex mathematical problems efficiently. Whether you're a researcher, developer, or math enthusiast, we hope this library empowers you to achieve more with less computational overhead.