scimath 0.1.2

A scientific computing library. WIP
Documentation 
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// import traits
use std::ops::{Index, IndexMut, Add, Sub, Mul};
use std::cmp::{PartialEq};
use std::fmt::{self, Display};
use std::marker::Copy;

#[derive(Clone)]
pub struct Matrix {
    m_data: Vec<f64>,
    m_rows: usize,
    m_cols: usize,
}
impl Matrix {
    pub fn new(rows: usize, cols: usize) -> Matrix {
        let c: usize = rows * cols;
        let mut m : Matrix = Matrix {
            m_data: Vec::with_capacity(c),
            m_rows: rows,
            m_cols: cols,
        };
        m.m_data.resize(rows * cols, 0.0);
        return m;
    } 
    pub fn get_row(&self, row: usize) -> &[f64] {
        &self.m_data[row * self.m_cols .. (row + 1) * self.m_cols]
    }
    pub fn eye(rows: usize) -> Matrix {
        let mut m : Matrix   = Matrix::new(rows, rows);
        for i in 0..rows {  
            m[i][i] = 1.0;
        }
        m
    }
    pub fn shape(&self) -> (usize, usize) {
        return (self.m_rows, self.m_cols);
    }
    pub fn swap_row(&mut self, row1: usize, row2: usize) {
        for i in 0..self.m_cols {
            self.m_data.swap(row1 * self.m_cols + i, row2 * self.m_cols + i);
        }
    }

    pub fn get_col(&self, col:usize) -> Matrix {
        let mut v = Matrix::new(self.m_rows, 1);
        for i in 0..self.m_rows {
            v[(i, 0)] = self[(i, col)];
        }
        return v;
    }

}
impl Index<usize> for Matrix {
    type Output = [f64];
    fn index(&self, indx: usize) -> &Self::Output {
        &self.m_data[indx * self.m_cols .. (indx + 1) * self.m_cols]
    }
}

impl IndexMut<usize> for Matrix {
    fn index_mut(&mut self, indx: usize) -> &mut Self::Output {
        &mut self.m_data[indx * self.m_cols .. (indx + 1) * self.m_cols]
    }
}

impl Index<(usize, usize)> for Matrix {
    type Output = f64;
    fn index(&self, indx: (usize, usize)) -> &Self::Output {
        &self.m_data[self.m_cols * indx.0 + indx.1]
    }
}

impl IndexMut<(usize, usize)> for Matrix {
    fn index_mut(&mut self, indx: (usize, usize)) -> &mut Self::Output {
        &mut self.m_data[self.m_cols * indx.0 + indx.1]
    }
}
impl fmt::Display for Matrix {
    fn fmt(&self, f: &mut fmt::Formatter<'_>) -> fmt::Result {
        for row in 0..self.m_rows {   
            write!(f, "{:?}\n", self.get_row(row))?;
        }
        Ok(())
    }
}

impl PartialEq for Matrix {
    fn eq(&self, other: &Matrix) -> bool {
        return self.m_data == other.m_data;
    }
}


impl Mul<f64> for &Matrix {
    type Output = Matrix;
    fn mul(self, rhs: f64) -> Self::Output {
        let mut m: Matrix = Matrix::new(self.m_rows, self.m_cols);
        for i in 0..self.m_rows * self.m_cols {
            m.m_data[i] = self.m_data[i] * rhs;
        }
        return m;
    }
}

impl Mul<&Matrix> for f64 {
    type Output = Matrix;
    fn mul(self, rhs: &Matrix) -> Self::Output {
        let mut m: Matrix = Matrix::new(rhs.m_rows, rhs.m_cols);
        for i in 0..rhs.m_rows * rhs.m_cols {
            m.m_data[i] = rhs.m_data[i] * self;
        }
        return m;
    }
}

impl Mul<&Matrix> for &Matrix {
    type Output = Matrix;
    fn mul(self, rhs: &Matrix) -> Self::Output {
        let mut m: Matrix = Matrix::new(self.m_rows, rhs.m_cols);
        for i in 0..self.m_rows {
            for j in 0..rhs.m_cols {
                let mut sum = 0.0;
                for n in 0..self.m_cols {
                    sum += self[(i, n)] * rhs[(n, j)];
                }
                m[(i, j)] = sum;
            }
        }
        return m;
    }
}

impl Add for &Matrix {
    type Output = Matrix;
    fn add(self, other: &Matrix) -> Matrix {
        let mut m: Matrix = Matrix::new(self.m_rows, self.m_cols);
        for i in 0..self.m_rows * self.m_cols {
            m.m_data[i] = self.m_data[i] + other.m_data[i];
        }
        return m;
    }
}

impl Sub for &Matrix {
    type Output = Matrix;
    fn sub(self, other: &Matrix) -> Matrix {
        let mut m: Matrix = Matrix::new(self.m_rows, self.m_cols);
        m = self + &(-1.0f64 * other);
        return m;
    }
}