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https://github.com/aoertel/ultrametric-matrix-tools

Toolbox that provides functions and data structures to generate and handle ultrametric matrices.
https://github.com/aoertel/ultrametric-matrix-tools

fast-matrix-vector-multiplication linear-algebra math mathematics tree-representation ultrametric ultrametric-matrix ultrametric-tree

Last synced: 3 months ago
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Toolbox that provides functions and data structures to generate and handle ultrametric matrices.

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# Ultrametric matrix tools
[![DOI](https://zenodo.org/badge/424882843.svg)](https://zenodo.org/badge/latestdoi/424882843)

This toolbox provides functions and data structures to construct and handle ultrametric matrices in Rust and Python. The aim of the project is to provide efficient tools for ultrametric matrices and ultrametric trees. Currently, the project has the following features.

### Features:
- Generate a random ultrametric matrix
- Test ultramtic matrix property
- Construct the ultrametric tree from the ultrametric matrix
- Get properties of ultrametric tree
- Fast multiplication of ultrametric matrix with vector

The implementation is written in Rust and can be cross-compiled to Python.

## Table of Contents
- [Quickstart](#quickstart)
- [Quickstart Rust](#quickstart-rust)
- [Quickstart Python](#quickstart-python)
- [Build](#build)
- [Build Rust Library](#build-rust-library)
- [Build Python Module](#build-python-module)
- [Examples](#examples)
- [Rust Example](#rust-example)
- [Python Example](#python-example)
- [License](#license)
- [Benchmarks](#benchmarks)

## Quickstart
### Quickstart Rust
Add the following to the ```Cargo.toml``` file:
```toml
[dependencies]
# TODO: replace the * by the latest version.
ultrametric_matrix_tools = "*"
```
An example of the usage of is:
```rust
use ultrametric_matrix_tools::na::{DMatrix, DVector};
use ultrametric_matrix_tools::UltrametricTree;

fn main() {
let matrix = DMatrix::from_vec(
4,
4,
vec![
0.0, 1.0, 3.0, 1.0, 1.0, 3.0, 1.0, 1.0, 3.0, 1.0, 5.0, 1.0, 1.0, 1.0, 1.0, 1.0,
],
);
let vector = DVector::from_vec(vec![4.0, 2.0, 7.0, 5.0]);

let tree = UltrametricTree::from_matrix(&matrix);
let product = tree * vector;
}
```

[More examples](#rust-example) can be found in `./examples/`.

### Quickstart Python
You can install the current release by running:
```console
pip install ultrametric_matrix_tools
```

An example of the construction of the ultrametric tree and multiplication with it is:
```python
from ultrametric_matrix_tools import UltrametricTree
import numpy as np

matrix = np.array([[0.0, 1.0, 3.0, 1.0], [1.0, 3.0, 1.0, 1.0], [
3.0, 1.0, 5.0, 1.0], [1.0, 1.0, 1.0, 1.0]])
vector = np.array([4.0, 2.0, 7.0, 5.0])

tree = UltrametricTree(matrix)
product = tree.mult(vector)
```

[More examples](#python-example) can be found in `./examples/`.

## Build
### Build Rust Library
The Rust library is build by running:
```console
cargo build --release
```
The compiled Rust library is located in `./target/release/` and can be copied from there.

### Build Python Module
The Python module is build from the Rust code using the [PyO3](https://github.com/PyO3/pyo3). To build the Python module, you need to [install Cargo](https://www.rust-lang.org/tools/install) and run:
```console
cargo build --release
```
The compiled Python module is located in `./target/release/` and can be copied from there.

To export the Python wheels from a Linux host system run the following commands:

Linux (requires docker):
```console
docker run --rm -v $(pwd):/io konstin2/maturin build --release
```

Windows (requires mingw32-python and mingw64-python):
```console
make python_package_windows
```

Currently, cross-compiling to macOS is not supported.

## Examples
### Rust Example
You can try out the Rust examples, you need to [install Cargo](https://www.rust-lang.org/tools/install). You can try out the Python examples located in `./examples/` by running the following command:
```console
cargo run --release --example [example_name]
```
E.g. to run the multiplication example run:
```console
cargo run --release --example multiplication
```

### Python Example
To run the Python examples, you need to [install Cargo](https://www.rust-lang.org/tools/install). You can try out the Python examples located in `./examples/` by running the following command:
```console
make python_example name=[example_name]
```
E.g. to run the multiplication example run:
```console
make python_example name=multiplication
```

Alternatively, if you have the Python package already installed via pip, then you can run the examples directly:
```console
python [example_name].py
```

## License
This project is under the [Apache-2.0 license](LICENSE).

## Benchmarks
The benchmarks use `criterion` for `cargo`, which can be installed by running:
```console
cargo install cargo-criterion
```

The benchmarks can be found in `./benches` and are run by:
```console
cargo criterion --bench [benchmark_name]
```