Rumath

A simple mathematics library written in Rust

Implementation

This project is implemented using Rust.

Features

- linear algebra
    - Vector
    - Matrix
        - Basic matrix operations(+,-,*)
        - Transposition
        - LU decomposition
        - QR decomposition
        - Hessenberg decomposition
        - Singular value decomposition
        - Inverse matrix
        - Determinant
        - Trace
        - Eigenvalue

- complex numbers
    - Complex<f32>
    - Complex<f64>

- special functions
    - gamma functions
    - beta functions
- statistics
    - distributions
        - normal distribution
        - gamma distribution
        - binomial distribution
        - poisson distribution
        - exponential distribution
        - chi squared distribution
        - beta distribution
        - bernoulli distribution

- elementary functions
    - trigonometric function
        - sin()     - arcsin()
        - cos()     - arccos()
        - tan()     - arctan()
        - cot()     - arccot()
        - sec()     - arcsec()
        - csc()     - arccsc()

    - hyperbolic functions
        - sinh()    - arsinh()
        - cosh()    - arcosh()
        - tanh()    - artanh()
        - coth()    - arcoth()
        - sech()    - arsech()
        - csch()    - arcsch()

    - exponential
        - exp()     - ln()

Usage

The library usage is described well in the API documentation - including example code.

Installation

Add this to your Cargo.toml:

[dependencies]
mathru = "0.0.5"

And then import the library using:

extern crate mathru;

Then import the modules and it is ready to be used:

extern crate mathru;
use mathru::algebra::linear::{Matrix};

// Compute the LU decomposition of a 2x2 matrix
let a: Matrix<f64> = Matrix::new(&2, &2, &vec![1.0, -2.0, 3.0, -7.0]);
let l_ref: Matrix<f64> = Matrix::new(&2, &2, &vec![1.0, 0.0, 1.0 / 3.0, 1.0]);

let (l, u, p): (Matrix<f64>, Matrix<f64>, Matrix<f64>) = a.dec_lu();

assert_eq!(l_ref, l);

Contributions