use num_traits::{real::Real, Zero};
use std::{
cmp::PartialOrd,
ops::{Add, AddAssign, Div, DivAssign, Mul, MulAssign, Neg, Sub, SubAssign},
};
pub trait VectorSpace: Copy + Zero + PartialEq
where
Self: Add<Output = Self>,
Self: Sub<Output = Self>,
Self: Mul<<Self as VectorSpace>::Scalar, Output = Self>,
Self: Div<<Self as VectorSpace>::Scalar, Output = Self>,
Self: Neg<Output = Self>,
{
type Scalar: Real + PartialOrd;
}
impl VectorSpace for f32 {
type Scalar = f32;
}
impl VectorSpace for f64 {
type Scalar = f64;
}
pub trait VectorSpaceAssign:
VectorSpace + AddAssign + SubAssign + MulAssign<Self::Scalar> + DivAssign<Self::Scalar>
{
}
impl<T> VectorSpaceAssign for T where
T: VectorSpace + AddAssign + SubAssign + MulAssign<Self::Scalar> + DivAssign<Self::Scalar>
{
}