use half::f16;
pub fn to_f16_bytes(v: &[f32]) -> Vec<u8> {
let mut out = Vec::with_capacity(v.len() * 2);
for &x in v {
out.extend_from_slice(&f16::from_f32(x).to_le_bytes());
}
out
}
pub fn from_f16_bytes(bytes: &[u8]) -> Vec<f32> {
debug_assert_eq!(bytes.len() % 2, 0, "f16 blob must have even length");
bytes
.chunks_exact(2)
.map(|c| f16::from_le_bytes([c[0], c[1]]).to_f32())
.collect()
}
pub fn l2_normalize(v: &mut [f32]) {
debug_assert!(v.iter().all(|x| x.is_finite()), "vector must be finite");
let norm: f32 = v.iter().map(|x| x * x).sum::<f32>().sqrt();
if norm > 0.0 {
for x in v.iter_mut() {
*x /= norm;
}
}
}
pub fn cosine(a: &[f32], b: &[f32]) -> f32 {
if a.len() != b.len() {
return 0.0;
}
let dot: f32 = a.iter().zip(b).map(|(x, y)| x * y).sum();
let na: f32 = a.iter().map(|x| x * x).sum::<f32>().sqrt();
let nb: f32 = b.iter().map(|x| x * x).sum::<f32>().sqrt();
if na == 0.0 || nb == 0.0 {
return 0.0;
}
dot / (na * nb)
}
#[cfg(test)]
mod tests {
use super::*;
#[test]
fn cosine_of_identical_vectors_is_one() {
let v = vec![1.0, 2.0, 3.0];
assert!((cosine(&v, &v) - 1.0).abs() < 1e-6);
}
#[test]
fn cosine_ignores_magnitude() {
let a = vec![1.0, 2.0, 3.0];
let b: Vec<f32> = a.iter().map(|x| x * 7.5).collect();
assert!((cosine(&a, &b) - 1.0).abs() < 1e-6);
}
#[test]
fn cosine_of_orthogonal_is_zero_and_opposite_is_minus_one() {
assert!(cosine(&[1.0, 0.0], &[0.0, 1.0]).abs() < 1e-6);
assert!((cosine(&[1.0, 0.0], &[-1.0, 0.0]) + 1.0).abs() < 1e-6);
}
#[test]
fn cosine_with_a_zero_vector_is_zero_not_nan() {
let c = cosine(&[0.0, 0.0], &[1.0, 2.0]);
assert!(c.is_finite(), "must not be NaN");
assert_eq!(c, 0.0);
}
#[test]
fn cosine_of_mismatched_lengths_is_zero() {
assert_eq!(cosine(&[1.0, 2.0], &[1.0, 2.0, 3.0]), 0.0);
}
#[test]
fn f16_round_trip_preserves_values_within_tolerance() {
let v = vec![0.1f32, -0.5, 0.999, 0.0];
let bytes = to_f16_bytes(&v);
assert_eq!(bytes.len(), 8);
let back = from_f16_bytes(&bytes);
for (a, b) in v.iter().zip(back.iter()) {
assert!((a - b).abs() < 1e-3, "{a} vs {b}");
}
}
#[test]
fn l2_normalize_produces_unit_vector() {
let mut v = vec![3.0f32, 4.0];
l2_normalize(&mut v);
let norm: f32 = v.iter().map(|x| x * x).sum::<f32>().sqrt();
assert!((norm - 1.0).abs() < 1e-6);
assert!((v[0] - 0.6).abs() < 1e-6);
}
#[test]
fn l2_normalize_zero_vector_stays_zero() {
let mut v = vec![0.0f32; 4];
l2_normalize(&mut v);
assert!(v.iter().all(|x| *x == 0.0));
}
#[test]
fn realistic_scale_round_trip_preserves_dot_product() {
let mut state: u64 = 0x1234_5678_9abc_def0;
let mut lcg = || {
state = state
.wrapping_mul(6364136223846793005)
.wrapping_add(1442695040888963407);
((state >> 40) as f32 / (1u32 << 23) as f32) - 1.0
};
let mut v: Vec<f32> = (0..1152).map(|_| lcg()).collect();
l2_normalize(&mut v);
let bytes = to_f16_bytes(&v);
let back = from_f16_bytes(&bytes);
let dot: f32 = v.iter().zip(back.iter()).map(|(a, b)| a * b).sum();
assert!(dot > 0.999, "dot product after round trip: {dot}");
}
}