use std::ops::{Add, Mul};
use num_traits::Inv;

#[derive(Clone, Debug, Eq, Hash, PartialEq)]
pub struct Tuple<A, B>(pub A, pub B);

impl<A, B> Add for Tuple<A, B> where A: Add<A, Output=A>, B: Add<B, Output=B> {
	type Output = Self;
	fn add(self, rhs: Self) -> Self {
		Self(self.0+rhs.0, self.1+rhs.1)
	}
}

impl<A, B> Mul for Tuple<A, B> where A: Mul<A, Output=A>, B: Mul<B, Output=B> {
	type Output = Self;
	fn mul(self, rhs: Self) -> Self {
		Self(self.0*rhs.0, self.1*rhs.1)
	}
}

impl<A,B> Inv for Tuple<A, B> where A: Inv<Output=A>, B: Inv<Output=B> {
	type Output = Self;
	fn inv(self) -> Self {
		Self(self.0.inv(), self.1.inv())
	}
}