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use std::ops::Mul;
use crate::{matrix_init, Matrix};
pub trait KroneckerMul<Rhs>: Matrix
where
Rhs: Matrix,
Self::Output: Matrix
{
type Output;
/// Returns the kronecker product of the two matrices
///
/// A ⊗ₖᵣₒₙ B
///
/// # Arguments
///
/// * `rhs` - A matrix of any size
///
/// # Examples
///
/// ```rust
/// let a = [
/// [1.0, 2.0],
/// [3.0, 4.0]
/// ];
/// let b = [
/// [1.0, 2.0],
/// [3.0, 4.0]
/// ];
/// let ab = [
/// [1.0, 2.0, 2.0, 4.0],
/// [3.0, 4.0, 6.0, 8.0],
/// [3.0, 6.0, 4.0, 8.0],
/// [9.0, 12.0, 12.0, 16.0]
/// ];
/// assert_eq!(a.kronecker(b), ab);
/// ```
fn kronecker_mul(self, rhs: Rhs) -> Self::Output;
}
impl<F, const L1: usize, const H1: usize, const L2: usize, const H2: usize>
KroneckerMul<[[F; L2]; H2]>
for
[[F; L1]; H1]
where
Self: Matrix,
[[F; L2]; H2]: Matrix,
F: Clone + Mul<F>,
[[<F as Mul<F>>::Output; L1*L2]; H1*H2]: Matrix
{
type Output = [[<F as Mul<F>>::Output; L1*L2]; H1*H2];
fn kronecker_mul(self, rhs: [[F; L2]; H2]) -> Self::Output
{
matrix_init(|r, c| self[r/H1][c/L1].clone()*rhs[r%H2][c%L2].clone())
}
}