mathxyz 0.1.0

A state-of-the-art math solver library using advanced symbolic, numerical.

# 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 .

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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

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Documentation

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

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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.

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License

This project is licensed under the MIT License.

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Author

Muhammad Taha Gorji
GitHub: mr-r0ot

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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.