#[derive(Debug, Clone, Copy, PartialEq, Eq, thiserror::Error)]
pub enum Vec3Error {
#[error("invalid vec3 {field}: {reason}")]
InvalidInput {
field: &'static str,
reason: &'static str,
},
}
#[inline]
pub fn add3(a: [f64; 3], b: [f64; 3]) -> [f64; 3] {
debug_assert!(finite3(&a));
debug_assert!(finite3(&b));
let out = [a[0] + b[0], a[1] + b[1], a[2] + b[2]];
debug_assert!(finite3(&out));
out
}
#[inline]
pub fn checked_add3(a: [f64; 3], b: [f64; 3]) -> Result<[f64; 3], Vec3Error> {
validate_finite3(&a, "a")?;
validate_finite3(&b, "b")?;
let out = [a[0] + b[0], a[1] + b[1], a[2] + b[2]];
validate_finite3(&out, "sum")?;
Ok(out)
}
#[inline]
pub fn sub3(a: [f64; 3], b: [f64; 3]) -> [f64; 3] {
[a[0] - b[0], a[1] - b[1], a[2] - b[2]]
}
#[inline]
pub fn neg3(v: [f64; 3]) -> [f64; 3] {
[-v[0], -v[1], -v[2]]
}
#[inline]
pub fn scale3(v: [f64; 3], s: f64) -> [f64; 3] {
[v[0] * s, v[1] * s, v[2] * s]
}
#[inline]
pub fn dot3(a: [f64; 3], b: [f64; 3]) -> f64 {
a[0] * b[0] + a[1] * b[1] + a[2] * b[2]
}
#[inline]
pub fn dot3_ref(a: &[f64; 3], b: &[f64; 3]) -> f64 {
a[0] * b[0] + a[1] * b[1] + a[2] * b[2]
}
#[inline]
pub fn dot3_z_yx_ref(a: &[f64; 3], b: &[f64; 3]) -> f64 {
a[2] * b[2] + (a[1] * b[1] + a[0] * b[0])
}
#[inline]
pub fn dot3_fused_z_yx_ref(a: &[f64; 3], b: &[f64; 3]) -> f64 {
a[2].mul_add(b[2], a[1].mul_add(b[1], a[0] * b[0]))
}
#[inline]
pub fn norm3(v: [f64; 3]) -> f64 {
dot3(v, v).sqrt()
}
#[inline]
pub fn norm3_ref(v: &[f64; 3]) -> f64 {
dot3_ref(v, v).sqrt()
}
#[inline]
pub fn unit3(v: [f64; 3]) -> Option<[f64; 3]> {
match norm3(v) {
n if n > 0.0 => Some(scale3(v, 1.0 / n)),
_ => None,
}
}
#[inline]
pub fn unit3_ref_unchecked(v: &[f64; 3]) -> [f64; 3] {
let n = norm3_ref(v);
[v[0] / n, v[1] / n, v[2] / n]
}
#[inline]
pub fn cross3(a: [f64; 3], b: [f64; 3]) -> [f64; 3] {
[
a[1] * b[2] - a[2] * b[1],
a[2] * b[0] - a[0] * b[2],
a[0] * b[1] - a[1] * b[0],
]
}
#[inline]
pub fn cross3_ref(a: &[f64; 3], b: &[f64; 3]) -> [f64; 3] {
[
a[1] * b[2] - a[2] * b[1],
a[2] * b[0] - a[0] * b[2],
a[0] * b[1] - a[1] * b[0],
]
}
#[inline]
fn finite3(v: &[f64; 3]) -> bool {
v.iter().all(|value| value.is_finite())
}
#[inline]
fn validate_finite3(v: &[f64; 3], field: &'static str) -> Result<(), Vec3Error> {
if finite3(v) {
Ok(())
} else {
Err(Vec3Error::InvalidInput {
field,
reason: "not finite",
})
}
}
#[cfg(test)]
mod tests {
use super::*;
#[test]
fn named_dot_orders_match_their_explicit_recipes() {
let a = [1.25, -2.5, 3.75];
let b = [-4.0, 5.5, -6.25];
assert_eq!(
dot3(a, b).to_bits(),
(a[0] * b[0] + a[1] * b[1] + a[2] * b[2]).to_bits()
);
assert_eq!(
dot3_z_yx_ref(&a, &b).to_bits(),
(a[2] * b[2] + (a[1] * b[1] + a[0] * b[0])).to_bits()
);
assert_eq!(
dot3_fused_z_yx_ref(&a, &b).to_bits(),
a[2].mul_add(b[2], a[1].mul_add(b[1], a[0] * b[0]))
.to_bits()
);
}
#[test]
fn unit3_zero_vector_returns_none() {
assert_eq!(unit3([0.0, 0.0, 0.0]), None);
}
#[test]
fn checked_add3_rejects_non_finite_inputs_and_outputs() {
assert_eq!(
checked_add3([f64::NAN, 0.0, 0.0], [1.0, 2.0, 3.0]),
Err(Vec3Error::InvalidInput {
field: "a",
reason: "not finite"
})
);
assert_eq!(
checked_add3([1.0, 2.0, 3.0], [f64::INFINITY, 0.0, 0.0]),
Err(Vec3Error::InvalidInput {
field: "b",
reason: "not finite"
})
);
assert_eq!(
checked_add3([f64::MAX, 0.0, 0.0], [f64::MAX, 0.0, 0.0]),
Err(Vec3Error::InvalidInput {
field: "sum",
reason: "not finite"
})
);
}
}