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use std::ops::Neg;
use num_traits::{One};
use crate::SquareMatrix;
use super::matrix_init;
use super::minor::Minor;
pub trait Adj: SquareMatrix
where
Self::Output: SquareMatrix
{
type Output;
fn adj(&self) -> Self::Output;
}
impl<F: One> Adj for [[F; 1]; 1]
where
Self: SquareMatrix
{
type Output = Self;
fn adj(&self) -> Self::Output
{
[[F::one()]]
}
}
impl<F: Neg<Output = F> + Copy> Adj for [[F; 2]; 2]
where
Self: SquareMatrix
{
type Output = Self;
fn adj(&self) -> Self::Output
{
[
[self[1][1], -self[0][1]],
[-self[1][0], self[0][0]]
]
}
}
macro_rules! adj {
($i:expr) => {
impl<F: One + Neg<Output = F>> Adj for [[F; $i]; $i]
where
Self: SquareMatrix + Minor<Output = F, Index = (usize, usize)>
{
type Output = Self;
fn adj(&self) -> Self::Output
{
matrix_init(|r, c| if (r+c)%2 == 0 {F::one()} else {-F::one()}*self.minor((c, r)))
}
}
};
}
adj!(3);
adj!(4);
adj!(5);
adj!(6);
adj!(7);
adj!(8);
adj!(9);
adj!(10);
adj!(11);
adj!(12);
adj!(13);
adj!(14);
adj!(15);
adj!(16);