monte-carlo-example

A simple example of Monte Carlo estimation of pi using geometric sampling.

Features

• Estimate pi using random points inside a square and inscribed circle.
• Two implementations:
  • Pure Python for-loop based (generate_estimates_for_loop)
  • Vectorized Polars lazy-frame based (generate_estimates_polars)
• Easy creation of interactive scatter plots showing pi convergence.
• Simple wrapper functions for quick experiments.

Installation

1. Clone the repository

cd C:/path/to/install/directory
git clone https://github.com/cooper-goodman/monte-carlo-example.git
cd monte-carlo-example

2. Install dependencies

2.1. pixi

This project was built with pixi a modern python package manager.

If pixi is installed it should automatically detect the pixi.toml and download the necessary packages.

cd "C:/path/to/install/directory/monte-carlo-example"
pixi install

2.2. pip

Dependencies can also be installed with pip.

pip install pandas shapely plotly polars pyarrow matplotlib