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use num_traits::{real::Real, One, Zero};
use std::{
cmp::PartialOrd,
ops::{Add, Div, Mul, Neg, Sub},
};
pub trait VectorSpace: Copy + Zero + PartialEq
where
Self: Add<Self, Output = Self>,
Self: Sub<Self, 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;
fn lerp(self, other: Self, amount: Self::Scalar) -> Self {
self * (Self::Scalar::one() - amount) + other * amount
}
}
impl VectorSpace for f32 {
type Scalar = f32;
}
impl VectorSpace for f64 {
type Scalar = f64;
}