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use na::{DefaultAllocator, RealField};
use crate::aliases::{TVec, TVec2, TVec3};
use crate::traits::{Alloc, Dimension, Number};
pub fn are_collinear<N: Number>(v0: &TVec3<N>, v1: &TVec3<N>, epsilon: N) -> bool {
is_null(&v0.cross(v1), epsilon)
}
pub fn are_collinear2d<N: Number>(v0: &TVec2<N>, v1: &TVec2<N>, epsilon: N) -> bool {
abs_diff_eq!(v0.perp(v1), N::zero(), epsilon = epsilon)
}
pub fn are_orthogonal<N: Number, D: Dimension>(v0: &TVec<N, D>, v1: &TVec<N, D>, epsilon: N) -> bool
where
DefaultAllocator: Alloc<N, D>,
{
abs_diff_eq!(v0.dot(v1), N::zero(), epsilon = epsilon)
}
pub fn is_comp_null<N: Number, D: Dimension>(v: &TVec<N, D>, epsilon: N) -> TVec<bool, D>
where
DefaultAllocator: Alloc<N, D>,
{
v.map(|x| abs_diff_eq!(x, N::zero(), epsilon = epsilon))
}
pub fn is_normalized<N: RealField, D: Dimension>(v: &TVec<N, D>, epsilon: N) -> bool
where
DefaultAllocator: Alloc<N, D>,
{
abs_diff_eq!(v.norm_squared(), N::one(), epsilon = epsilon * epsilon)
}
pub fn is_null<N: Number, D: Dimension>(v: &TVec<N, D>, epsilon: N) -> bool
where
DefaultAllocator: Alloc<N, D>,
{
abs_diff_eq!(*v, TVec::<N, D>::zeros(), epsilon = epsilon)
}