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use crate::structure::matrix::matrix_trait::{MatrixDataTrait, MatrixDataTraitFraction};
use crate::structure::matrix::Matrix;
use std::ops::{Add, Div, Mul, Sub};
impl<T: MatrixDataTrait, const ROWS: usize, const COLS: usize> Add for Matrix<T, ROWS, COLS> {
type Output = Self;
/// Adds two matrices element-wise.
///
/// # Arguments
///
/// * `self` - The first matrix.
/// * `other` - The second matrix.
///
/// # Returns
///
/// A new matrix which is the result of the element-wise addition of the two matrices.
///
/// # Example
///
/// ```
/// use numberlab::structure::matrix::Matrix;
///
/// let matrix1 = Matrix::from_array([[1, 2], [3, 4]]);
/// let matrix2 = Matrix::from_array([[5, 6], [7, 8]]);
/// let result = matrix1 + matrix2;
/// assert_eq!(result, Matrix::from_array([[6, 8], [10, 12]]));
/// ```
fn add(self, other: Self) -> Self::Output {
let mut result = Self::new();
for i in 0..ROWS {
for j in 0..COLS {
result[(i, j)] = self[(i, j)] + other[(i, j)];
}
}
result
}
}
impl<T: MatrixDataTrait, const ROWS: usize, const COLS: usize> Sub for Matrix<T, ROWS, COLS> {
type Output = Self;
/// Subtracts two matrices element-wise.
///
/// # Arguments
///
/// * `self` - The first matrix.
/// * `other` - The second matrix.
///
/// # Returns
///
/// A new matrix which is the result of the element-wise subtraction of the two matrices.
///
/// # Example
///
/// ```
/// use numberlab::structure::matrix::Matrix;
///
/// let matrix1 = Matrix::from_array([[5, 6], [7, 8]]);
/// let matrix2 = Matrix::from_array([[1, 2], [3, 4]]);
/// let result = matrix1 - matrix2;
/// assert_eq!(result, Matrix::from_array([[4, 4], [4, 4]]));
/// ```
fn sub(self, other: Self) -> Self::Output {
let mut result = Self::new();
for i in 0..ROWS {
for j in 0..COLS {
result[(i, j)] = self[(i, j)] - other[(i, j)];
}
}
result
}
}
impl<T: MatrixDataTrait, const R: usize, const C: usize, const K: usize> Mul<Matrix<T, C, K>>
for Matrix<T, R, C>
{
type Output = Matrix<T, R, K>;
/// Multiplies two matrices.
///
/// # Arguments
///
/// * `self` - The first matrix.
/// * `other` - The second matrix.
///
/// # Returns
///
/// A new matrix which is the result of the matrix multiplication of the two matrices.
///
/// # Example
///
/// ```
/// use numberlab::structure::matrix::Matrix;
///
/// let matrix1 = Matrix::from_array([[1, 2], [3, 4]]);
/// let matrix2 = Matrix::from_array([[5, 6], [7, 8]]);
/// let result = matrix1 * matrix2;
/// assert_eq!(result, Matrix::from_array([[19, 22], [43, 50]]));
/// ```
fn mul(self, other: Matrix<T, C, K>) -> Self::Output {
let mut result = Matrix::<T, R, K>::new();
for i in 0..R {
for j in 0..K {
for k in 0..C {
result[(i, j)] = result[(i, j)] + (self.data[i][k] * other.data[k][j]);
}
}
}
result
}
}
impl<T: MatrixDataTrait, const ROWS: usize, const COLS: usize> Add<T> for Matrix<T, ROWS, COLS> {
type Output = Self;
/// Adds a scalar to each element of the matrix.
///
/// # Arguments
///
/// * `self` - The matrix to which the scalar will be added.
/// * `other` - The scalar value to add to each element of the matrix.
///
/// # Returns
///
/// A new matrix with the scalar added to each element.
///
/// # Example
///
/// ```
/// use numberlab::structure::matrix::Matrix;
///
/// let matrix = Matrix::from_array([[1, 2], [3, 4]]);
/// let result = matrix + 1;
/// assert_eq!(result, Matrix::from_array([[2, 3], [4, 5]]));
/// ```
fn add(self, other: T) -> Self {
let mut result = Self::new();
for i in 0..ROWS {
for j in 0..COLS {
result[(i, j)] = self[(i, j)] + other;
}
}
result
}
}
impl<T: MatrixDataTrait, const ROWS: usize, const COLS: usize> Sub<T> for Matrix<T, ROWS, COLS> {
type Output = Self;
/// Subtracts a scalar from each element of the matrix.
///
/// # Arguments
///
/// * `self` - The matrix from which the scalar will be subtracted.
/// * `other` - The scalar value to subtract from each element of the matrix.
///
/// # Returns
///
/// A new matrix with the scalar subtracted from each element.
///
/// # Example
///
/// ```
/// use numberlab::structure::matrix::Matrix;
///
/// let matrix = Matrix::from_array([[2, 3], [4, 5]]);
/// let result = matrix - 1;
/// assert_eq!(result, Matrix::from_array([[1, 2], [3, 4]]));
/// ```
fn sub(self, other: T) -> Self {
let mut result = Self::new();
for i in 0..ROWS {
for j in 0..COLS {
result[(i, j)] = self[(i, j)] - other;
}
}
result
}
}
impl<T: MatrixDataTrait, const ROWS: usize, const COLS: usize> Mul<T> for Matrix<T, ROWS, COLS> {
type Output = Self;
/// Multiplies each element of the matrix by a scalar.
///
/// # Arguments
///
/// * `self` - The matrix to be multiplied.
/// * `other` - The scalar value to multiply each element of the matrix by.
///
/// # Returns
///
/// A new matrix with each element multiplied by the scalar.
///
/// # Example
///
/// ```
/// use numberlab::structure::matrix::Matrix;
///
/// let matrix = Matrix::from_array([[1, 2], [3, 4]]);
/// let result = matrix * 2;
/// assert_eq!(result, Matrix::from_array([[2, 4], [6, 8]]));
/// ```
fn mul(self, other: T) -> Self {
let mut result = Self::new();
for i in 0..ROWS {
for j in 0..COLS {
result[(i, j)] = self[(i, j)] * other;
}
}
result
}
}
impl<T: MatrixDataTraitFraction, const ROWS: usize, const COLS: usize> Div<T>
for Matrix<T, ROWS, COLS>
{
type Output = Self;
/// Divides each element of the matrix by a scalar.
///
/// # Arguments
///
/// * `self` - The matrix to be divided.
/// * `other` - The scalar value to divide each element of the matrix by.
///
/// # Returns
///
/// A new matrix with each element divided by the scalar.
///
/// # Example
///
/// ```
/// use numberlab::structure::matrix::Matrix;
///
/// let matrix = Matrix::from_array([[2.0, 3.0], [6.0, 8.0]]);
/// let result = matrix / 2.0;
/// assert_eq!(result, Matrix::from_array([[1.0, 1.5], [3.0, 4.0]]));
/// ```
fn div(self, other: T) -> Self {
let mut result = Self::new();
for i in 0..ROWS {
for j in 0..COLS {
result[(i, j)] = self[(i, j)] / other;
}
}
result
}
}