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use num_traits::Inv;
use num_traits::Zero;
use crate::MMul;
use crate::Adj;
use crate::Det;
use crate::SquareMatrix;
pub trait MInv: SquareMatrix
where
Self::Output: SquareMatrix
{
type Output;
fn inv(&self) -> Option<Self::Output>;
}
impl<F, M> MInv for M
where
F: Inv<Output = F> + Zero,
Self: Adj + Det<Output = F>,
<Self as Adj>::Output: MMul<F>,
<<Self as Adj>::Output as MMul<F>>::Output: SquareMatrix
{
type Output = <<Self as Adj>::Output as MMul<F>>::Output;
fn inv(&self) -> Option<Self::Output>
{
let det = self.det();
if det.is_zero()
{
None
}
else
{
Some(self.adj().mul(det.inv()))
}
}
}