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use crate::{SquareMatrix, Transpose, Adj};
pub trait Cofactor: SquareMatrix
where
Self::Output: SquareMatrix
{
type Output;
/// Returns the cofactor matrix of the given matrix
///
/// adj(A)ᵀ
///
/// # Examples
///
/// ```rust
/// let a = [
/// [1.0, 2.0],
/// [3.0, 4.0]
/// ];
/// let ac = [
/// [4.0, -3.0],
/// [-2.0, 1.0]
/// ];
/// assert_eq!(a.cofactor(), ac);
/// ```
fn cofactor(&self) -> Self::Output;
}
impl<M> Cofactor for M
where
Self: Adj,
<Self as Adj>::Output: Transpose,
<<Self as Adj>::Output as Transpose>::Output: SquareMatrix
{
type Output = <<Self as Adj>::Output as Transpose>::Output;
fn cofactor(&self) -> Self::Output
{
self.adj().transpose()
}
}