// TODO(Hachem): Refactor use super::Float; use core::{fmt, ops}; #[macro_export] macro_rules! matrix { ( $( $( $x:expr ),* );* ) => {{ let mut data = Vec::new(); let mut rows = 0; let mut cols = 0; $( let row_data = $( $x )*; if cols == 0 { cols = row_data.len(); } assert_eq!(cols, row_data.len(), "All rows must have the same number of columns."); data.extend(row_data); rows += 1; )* $crate::Matrix::new(rows, cols, data) }}; } pub struct Matrix { pub data: Vec, pub rows: usize, pub cols: usize, } impl Matrix { pub fn new(rows: usize, cols: usize, data: Vec) -> Self { Matrix { data, rows, cols } } pub fn get(&self, row: usize, col: usize) -> T { self.data[row * self.cols + col] } pub fn set(&mut self, row: usize, col: usize, value: T) { self.data[row * self.cols + col] = value; } pub fn dot(&self, other: &Self) -> Option> { if self.cols != other.rows { return None; } let mut result = Matrix::new( self.rows, other.cols, vec![T::zero(); self.rows * other.cols], ); for i in 0..self.rows { for j in 0..other.cols { let mut sum = T::zero(); for k in 0..self.cols { sum = sum + (self.get(i, k) * other.get(k, j)); } result.set(i, j, sum); } } Some(result) } pub fn kronecker(&self, other: &Self) -> Matrix { let new_rows = self.rows * other.rows; let new_cols = self.cols * other.cols; let mut result = Matrix::new(new_rows, new_cols, vec![T::zero(); new_rows * new_cols]); for i in 0..self.rows { for j in 0..self.cols { let self_val = self.get(i, j); for k in 0..other.rows { for l in 0..other.cols { let result_row = i * other.rows + k; let result_col = j * other.cols + l; result.set(result_row, result_col, self_val * other.get(k, l)) } } } } result } pub fn transpose(&self) -> Matrix { let mut result = Matrix::new(self.cols, self.rows, vec![T::zero(); self.cols * self.rows]); for i in 0..self.rows { for j in 0..self.cols { let value = self.get(i, j); result.set(j, i, value); } } result } pub fn add_to(&self, other: &Self) -> Option> { if self.rows != other.rows || self.cols != other.cols { return None; } let mut result = Matrix::new(self.rows, self.cols, vec![T::zero(); self.rows * self.cols]); for i in 0..self.rows { for j in 0..self.cols { let sum = self.get(i, j) + other.get(i, j); result.set(i, j, sum); } } Some(result) } pub fn subtract(&self, other: &Self) -> Option> { if self.rows != other.rows || self.cols != other.cols { return None; } let mut result = Matrix::new(self.rows, self.cols, vec![T::zero(); self.rows * self.cols]); for i in 0..self.rows { for j in 0..self.cols { let diff = self.get(i, j) - other.get(i, j); result.set(i, j, diff); } } Some(result) } pub fn scale(&self, scalar: T) -> Matrix { let mut result = Matrix::new(self.rows, self.cols, vec![T::zero(); self.rows * self.cols]); for i in 0..self.rows { for j in 0..self.cols { let scaled_value = self.get(i, j) * scalar; result.set(i, j, scaled_value); } } result } } impl ops::Index<(usize, usize)> for Matrix { type Output = T; fn index(&self, index: (usize, usize)) -> &Self::Output { &self.data[index.0 * self.cols + index.1] } } impl ops::IndexMut<(usize, usize)> for Matrix { fn index_mut(&mut self, index: (usize, usize)) -> &mut Self::Output { &mut self.data[index.0 * self.cols + index.1] } } impl fmt::Debug for Matrix { fn fmt(&self, f: &mut fmt::Formatter<'_>) -> fmt::Result { for i in 0..self.rows { for j in 0..self.cols { write!(f, "{:?} ", self.get(i, j))?; } writeln!(f)?; } Ok(()) } } impl fmt::Display for Matrix { fn fmt(&self, f: &mut fmt::Formatter<'_>) -> fmt::Result { for i in 0..self.rows { for j in 0..self.cols { write!(f, "{:>8} ", self.get(i, j))?; } writeln!(f)?; } Ok(()) } } impl ops::Add<&Matrix> for Matrix { type Output = Option>; fn add(self, other: &Matrix) -> Self::Output { self.add_to(other) } } impl ops::Sub<&Matrix> for Matrix { type Output = Option>; fn sub(self, other: &Matrix) -> Self::Output { self.subtract(other) } } impl ops::Mul for Matrix { type Output = Matrix; fn mul(self, scalar: T) -> Self::Output { self.scale(scalar) } } impl ops::Div for Matrix { type Output = Matrix; fn div(self, scalar: T) -> Self::Output { self.scale(T::one() / scalar) } } impl ops::AddAssign<&Matrix> for Matrix { fn add_assign(&mut self, other: &Matrix) { if let Some(result) = self.add_to(other) { *self = result; } } } impl ops::SubAssign<&Matrix> for Matrix { fn sub_assign(&mut self, other: &Matrix) { if let Some(result) = self.subtract(other) { *self = result; } } } impl ops::MulAssign for Matrix { fn mul_assign(&mut self, scalar: T) { *self = self.scale(scalar); } } impl ops::DivAssign for Matrix { fn div_assign(&mut self, scalar: T) { *self = self.scale(T::one() / scalar); } }