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//! Closure assignment with RNG rule for boundary vectors
//!
//! Assigns vectors to multiple nearby clusters to improve recall
use crate::math::l2_distance_sqr;
/// Closure assignment with RNG (Relative Neighborhood Graph) rule
pub struct ClosureAssigner {
pub epsilon: f32,
pub max_replicas: usize,
}
impl ClosureAssigner {
pub fn new(epsilon: f32, max_replicas: usize) -> Self {
Self {
epsilon,
max_replicas,
}
}
/// Assign a vector to one or more clusters
///
/// Returns cluster indices that the vector should be assigned to
pub fn assign(&self, vector: &[f32], centroids: &[Vec<f32>]) -> Vec<usize> {
if centroids.is_empty() {
return Vec::new();
}
// Compute distances to all centroids
let mut distances: Vec<(usize, f32)> = centroids
.iter()
.enumerate()
.map(|(i, c)| (i, l2_distance_sqr(vector, c)))
.collect();
// Sort by distance (ascending)
distances.sort_by(|a, b| a.1.partial_cmp(&b.1).unwrap());
let closest_dist = distances[0].1;
// Since we use squared distances, expand by (1+epsilon)^2 in squared space
// to match epsilon-expansion in actual distance space
let factor = 1.0 + self.epsilon;
let threshold = closest_dist * factor * factor;
// Select all centroids within threshold, up to max_replicas
distances
.iter()
.take(self.max_replicas)
.filter(|(_, dist)| *dist <= threshold)
.map(|(idx, _)| *idx)
.collect()
}
/// Apply Relative Neighborhood Graph rule to filter candidates
///
/// Skip cluster j if there exists cluster i where:
/// - dist(i, vector) < dist(i, j)
///
/// This ensures geometric diversity of assigned clusters
#[allow(dead_code)]
fn apply_rng_rule(
&self,
_vector: &[f32],
centroids: &[Vec<f32>],
candidates: Vec<usize>,
distances: &[(usize, f32)],
) -> Vec<usize> {
let mut filtered = Vec::new();
for &candidate_idx in &candidates {
let mut should_include = true;
// Check against previously selected centroids
for &selected_idx in &filtered {
let dist_candidate_to_v = distances
.iter()
.find(|(idx, _)| *idx == candidate_idx)
.map(|(_, d)| *d)
.unwrap_or(f32::INFINITY);
// Get centroids using iter().nth() - clippy warning suppressed as indexing would require bounds checking
#[allow(clippy::iter_nth)]
let c_selected = centroids.iter().nth(selected_idx).unwrap();
#[allow(clippy::iter_nth)]
let c_candidate = centroids.iter().nth(candidate_idx).unwrap();
let dist_selected_to_candidate = l2_distance_sqr(c_selected, c_candidate);
// RNG rule: skip candidate if it's farther from v than selected is from candidate
if dist_candidate_to_v > dist_selected_to_candidate {
should_include = false;
break;
}
}
if should_include {
filtered.push(candidate_idx);
}
}
// Always include the closest centroid
if !filtered.contains(&candidates[0]) {
filtered.insert(0, candidates[0]);
}
filtered
}
}
#[cfg(test)]
mod tests {
use super::*;
#[test]
fn test_single_cluster_assignment() {
let centroids = vec![vec![0.0, 0.0]];
let assigner = ClosureAssigner::new(0.2, 8);
let v = vec![0.1, 0.0];
let assigned = assigner.assign(&v, ¢roids);
assert_eq!(assigned.len(), 1);
assert_eq!(assigned[0], 0);
}
#[test]
fn test_boundary_vector_multiple_assignment() {
let centroids = vec![
vec![0.0, 0.0],
vec![1.0, 0.0],
vec![0.0, 1.0],
vec![2.0, 0.0],
];
let assigner = ClosureAssigner::new(0.5, 8);
// Vector close to centroid 0
let v1 = vec![0.1, 0.0];
let assigned = assigner.assign(&v1, ¢roids);
assert_eq!(assigned[0], 0); // Closest is 0
// Boundary vector between 0 and 1
let v2 = vec![0.5, 0.0];
let assigned = assigner.assign(&v2, ¢roids);
println!("Boundary vector {:?} assigned to {:?}", v2, assigned);
assert!(!assigned.is_empty());
assert!(assigned.contains(&0) || assigned.contains(&1));
}
#[test]
fn test_threshold_selects_nearby_centroids() {
// Without RNG rule, all centroids within threshold are selected
let centroids = vec![
vec![0.0, 0.0],
vec![0.5, 0.0],
vec![1.0, 0.0],
vec![0.0, 0.5],
];
let assigner = ClosureAssigner::new(2.0, 8); // Large epsilon to get many candidates
let v = vec![0.25, 0.0];
let assigned = assigner.assign(&v, ¢roids);
println!("Vector {:?} assigned to {:?}", v, assigned);
// With large epsilon, all centroids within threshold should be included
assert!(assigned.len() >= 2);
assert!(assigned.contains(&0) || assigned.contains(&1));
}
#[test]
fn test_max_replicas_limit() {
let centroids = vec![
vec![0.0, 0.0],
vec![0.1, 0.0],
vec![0.2, 0.0],
vec![0.3, 0.0],
vec![0.4, 0.0],
vec![0.5, 0.0],
];
let assigner = ClosureAssigner::new(10.0, 3); // Large epsilon, but max 3 replicas
let v = vec![0.25, 0.0];
let assigned = assigner.assign(&v, ¢roids);
assert!(assigned.len() <= 3, "Should respect max_replicas limit");
}
}