semvec/pypi-packages huggingface dataset:
rsr45-dual-autodiff-x 0.1.17
A package for dual number-based automatic differentiation
License: MIT
Requires Python: >=3.6

# rsr45-dual-autodiff-x

`rsr45-dual-autodiff-x` is optimised using Cython for improved performance.

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## Features

- **Dual Number Arithmetic**: Supports basic operations like addition, subtraction, multiplication, and division.
- **Mathematical Functions**: Includes trigonometric, exponential, logarithmic, and other common mathematical functions.
- **Automatic Differentiation**: Computes derivatives automatically as a natural part of the computation.
- **Cython Optimization**: Improved performance for computationally intensive tasks.

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## Installation

### Using pip
Install the package directly from PyPI:

```bash
pip install rsr45-dual-autodiff-x
```

### Using github
 1. Clone the repository
 ```bash
 git clone https://gitlab.developers.cam.ac.uk/phy/data-intensive-science-mphil/assessments/c1_coursework1/rsr45.git
 cd dual_autodiff
 pip install -r requirements.txt
 cd dual_autodiff_x
 pip install e .
 ```

## Usage

### Importing the Package

```python
import dual_autodiff_x as df_x
from dual_autodiff_x.dual import Dual as DualOptimised
from dual_autodiff_x.functions import sin as sin_optimised, cos as cos_optimised, log as log_optimised
```

### Using `dual_autodiff_x` (Optimised Version)
```python
x_optimised = DualOptimised(2, 1)  # Represents the dual number 2 + 1ε
```

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## Performing Operations

### Using dual_autodiff_x (Optimised Version)

```python
# Example: f(x) = log(sin(x)) + x^2 * cos(x)
f_x_optimised = log_optimised(sin_optimised(x_optimised)) + x_optimised**2 * cos_optimised(x_optimised)
print(f_x_optimised)  # Output the result and its derivative
```

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## Why Use dual_autodiff_x?

The `rsr-dual-autodiff-x` package is an optimized version of `dual_autodiff`, built with Cython for better performance. Use it when speed is a priority, especially for computationally intensive tasks.

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## Licence

This project is licensed under the MIT License.