92 lines
2.6 KiB
Rust
92 lines
2.6 KiB
Rust
use na::{Real, DefaultAllocator};
|
|
|
|
use traits::{Number, Alloc, Dimension};
|
|
use aliases::{TVec, TVec3};
|
|
|
|
/// The cross product of two vectors.
|
|
pub fn cross<N: Number, D: Dimension>(x: &TVec3<N>, y: &TVec3<N>) -> TVec3<N> {
|
|
x.cross(y)
|
|
}
|
|
|
|
/// The distance between two points.
|
|
///
|
|
/// # See also:
|
|
///
|
|
/// * [`distance2`](fn.distance2.html)
|
|
pub fn distance<N: Real, D: Dimension>(p0: &TVec<N, D>, p1: &TVec<N, D>) -> N
|
|
where DefaultAllocator: Alloc<N, D> {
|
|
(p1 - p0).norm()
|
|
}
|
|
|
|
/// The dot product of two vectors.
|
|
pub fn dot<N: Number, D: Dimension>(x: &TVec<N, D>, y: &TVec<N, D>) -> N
|
|
where DefaultAllocator: Alloc<N, D> {
|
|
x.dot(y)
|
|
}
|
|
|
|
/// If `dot(nref, i) < 0.0`, return `n`, otherwise, return `-n`.
|
|
pub fn faceforward<N: Number, D: Dimension>(n: &TVec<N, D>, i: &TVec<N, D>, nref: &TVec<N, D>) -> TVec<N, D>
|
|
where DefaultAllocator: Alloc<N, D> {
|
|
if nref.dot(i) < N::zero() {
|
|
n.clone()
|
|
} else {
|
|
-n.clone()
|
|
}
|
|
}
|
|
|
|
/// The magnitude of a vector.
|
|
///
|
|
/// A synonym for [`magnitude`](fn.magnitude.html).
|
|
///
|
|
/// # See also:
|
|
///
|
|
/// * [`length2`](fn.length2.html)
|
|
/// * [`magnitude`](fn.magnitude.html)
|
|
/// * [`magnitude2`](fn.magnitude2.html)
|
|
pub fn length<N: Real, D: Dimension>(x: &TVec<N, D>) -> N
|
|
where DefaultAllocator: Alloc<N, D> {
|
|
x.norm()
|
|
}
|
|
|
|
/// The magnitude of a vector.
|
|
///
|
|
/// A wrapper around [`nalgebra::norm`](../nalgebra/fn.norm.html).
|
|
///
|
|
/// # See also:
|
|
///
|
|
/// * [`length`](fn.length.html)
|
|
/// * [`magnitude2`](fn.magnitude2.html)
|
|
/// * [`nalgebra::norm`](../nalgebra/fn.norm.html)
|
|
pub fn magnitude<N: Real, D: Dimension>(x: &TVec<N, D>) -> N
|
|
where DefaultAllocator: Alloc<N, D> {
|
|
x.norm()
|
|
}
|
|
|
|
/// Normalizes a vector.
|
|
pub fn normalize<N: Real, D: Dimension>(x: &TVec<N, D>) -> TVec<N, D>
|
|
where DefaultAllocator: Alloc<N, D> {
|
|
x.normalize()
|
|
}
|
|
|
|
/// For the incident vector `i` and surface orientation `n`, returns the reflection direction : `result = i - 2.0 * dot(n, i) * n`.
|
|
pub fn reflect_vec<N: Number, D: Dimension>(i: &TVec<N, D>, n: &TVec<N, D>) -> TVec<N, D>
|
|
where DefaultAllocator: Alloc<N, D> {
|
|
let _2 = N::one() + N::one();
|
|
i - n * (n.dot(i) * _2)
|
|
}
|
|
|
|
/// For the incident vector `i` and surface normal `n`, and the ratio of indices of refraction `eta`, return the refraction vector.
|
|
pub fn refract_vec<N: Real, D: Dimension>(i: &TVec<N, D>, n: &TVec<N, D>, eta: N) -> TVec<N, D>
|
|
where DefaultAllocator: Alloc<N, D> {
|
|
|
|
let ni = n.dot(i);
|
|
let k = N::one() - eta * eta * (N::one() - ni * ni);
|
|
|
|
if k < N::zero() {
|
|
TVec::<_, D>::zeros()
|
|
}
|
|
else {
|
|
i * eta - n * (eta * dot(n, i) + k.sqrt())
|
|
}
|
|
}
|