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use super::graph::{Candidate, HnswIndex, Node};
use super::search::search_layer;
impl HnswIndex {
/// Insert a vector into the index.
///
/// Implements the HNSW insert algorithm (Malkov & Yashunin, Algorithm 1):
/// 1. Assign a random layer using the exponential distribution
/// 2. Greedily descend from the entry point to the new node's layer + 1
/// 3. At each layer from the node's layer down to 0, search for nearest
/// neighbors, select via the diversity heuristic, and add bidirectional edges
/// 4. Prune over-connected nodes to maintain the M/M0 invariant
///
/// Construction uses full-precision FP32 vectors.
pub fn insert(&mut self, vector: Vec<f32>) {
assert_eq!(
vector.len(),
self.dim,
"vector dimension mismatch: expected {}, got {}",
self.dim,
vector.len()
);
let new_id = self.nodes.len() as u32;
let new_layer = self.random_layer();
// Create the node with empty neighbor lists for each layer.
let node = Node {
vector,
neighbors: (0..=new_layer).map(|_| Vec::new()).collect(),
deleted: false,
};
self.nodes.push(node);
// First node: becomes the entry point.
let Some(ep) = self.entry_point else {
self.entry_point = Some(new_id);
self.max_layer = new_layer;
return;
};
let query = &self.nodes[new_id as usize].vector as *const Vec<f32>;
// SAFETY: we need to borrow the query vector while mutating neighbor lists
// of other nodes. The query vector itself is never mutated during insert.
let query: &[f32] = unsafe { &*query };
let mut current_ep = ep;
// Phase 1: Greedy descent from top layer to new_layer + 1.
// At each layer above the new node's layer, find the single closest node.
if self.max_layer > new_layer {
for layer in (new_layer + 1..=self.max_layer).rev() {
let results = search_layer(self, query, current_ep, 1, layer, None);
if let Some(nearest) = results.first() {
current_ep = nearest.id;
}
}
}
// Phase 2: Insert at each layer from min(new_layer, max_layer) down to 0.
let insert_top = new_layer.min(self.max_layer);
for layer in (0..=insert_top).rev() {
let ef = self.params.ef_construction;
let candidates = search_layer(self, query, current_ep, ef, layer, None);
// Select neighbors using the diversity heuristic (Algorithm 4).
let m = self.max_neighbors(layer);
let selected = select_neighbors_heuristic(self, &candidates, m);
// Set the new node's neighbors at this layer.
self.nodes[new_id as usize].neighbors[layer] = selected.iter().map(|c| c.id).collect();
// Add reverse edges (bidirectional connectivity).
for neighbor in &selected {
let nid = neighbor.id as usize;
self.nodes[nid].neighbors[layer].push(new_id);
// Prune if over-connected.
if self.nodes[nid].neighbors[layer].len() > m {
let node_vec = &self.nodes[nid].vector as *const Vec<f32>;
// SAFETY: We hold &mut self but only mutate neighbors[layer],
// never the vector data. The pointer remains valid because
// self.nodes is not reallocated during insert (no push here).
let node_vec: &[f32] = unsafe { &*node_vec };
self.prune_neighbors(nid, layer, node_vec, m);
}
}
// Use the closest found node as the entry point for the next layer down.
if let Some(nearest) = candidates.first() {
current_ep = nearest.id;
}
}
// If the new node's layer exceeds the current max, promote it to entry point.
if new_layer > self.max_layer {
self.entry_point = Some(new_id);
self.max_layer = new_layer;
}
}
/// Prune a node's neighbor list at a given layer using the diversity heuristic.
fn prune_neighbors(&mut self, node_idx: usize, layer: usize, node_vec: &[f32], m: usize) {
let neighbor_ids: Vec<u32> = self.nodes[node_idx].neighbors[layer].clone();
let mut candidates: Vec<Candidate> = neighbor_ids
.iter()
.map(|&nid| Candidate {
id: nid,
dist: self.dist_to_node(node_vec, nid),
})
.collect();
candidates.sort_unstable_by(|a, b| a.dist.partial_cmp(&b.dist).unwrap());
let selected = select_neighbors_heuristic(self, &candidates, m);
self.nodes[node_idx].neighbors[layer] = selected.iter().map(|c| c.id).collect();
}
}
/// Heuristic neighbor selection (Malkov & Yashunin, Algorithm 4).
///
/// Selects up to `m` neighbors that are both close to `query` AND diverse
/// (not all clustered together). A candidate is kept only if it is closer
/// to `query` than to every already-selected neighbor. This produces a
/// graph with better long-range connectivity than simple closest selection.
fn select_neighbors_heuristic(
index: &HnswIndex,
candidates: &[Candidate],
m: usize,
) -> Vec<Candidate> {
// Callers guarantee candidates are sorted by distance ascending
// (search_layer sorts its output; prune_neighbors pre-sorts before calling).
let mut selected: Vec<Candidate> = Vec::with_capacity(m);
for candidate in candidates {
if selected.len() >= m {
break;
}
// Check the diversity condition: candidate must be closer to query
// than to any already-selected neighbor.
let dist_to_query = candidate.dist;
let is_diverse = selected.iter().all(|s| {
let dist_to_selected = super::super::distance::distance(
&index.nodes[candidate.id as usize].vector,
&index.nodes[s.id as usize].vector,
index.params.metric,
);
dist_to_query <= dist_to_selected
});
if is_diverse {
selected.push(*candidate);
}
}
// If the heuristic is too aggressive and we have fewer than m neighbors,
// backfill with the closest remaining candidates.
if selected.len() < m {
let selected_ids: std::collections::HashSet<u32> = selected.iter().map(|c| c.id).collect();
for candidate in candidates {
if selected.len() >= m {
break;
}
if !selected_ids.contains(&candidate.id) {
selected.push(*candidate);
}
}
}
selected
}
#[cfg(test)]
mod tests {
use super::super::graph::{HnswIndex, HnswParams};
use crate::engine::vector::distance::DistanceMetric;
fn make_index() -> HnswIndex {
HnswIndex::with_seed(
3,
HnswParams {
m: 4,
m0: 8,
ef_construction: 32,
metric: DistanceMetric::L2,
},
12345,
)
}
#[test]
fn insert_single() {
let mut idx = make_index();
idx.insert(vec![1.0, 0.0, 0.0]);
assert_eq!(idx.len(), 1);
assert_eq!(idx.entry_point, Some(0));
}
#[test]
fn insert_many_maintains_invariants() {
let mut idx = make_index();
for i in 0..100 {
let v = vec![(i as f32) * 0.1, (i as f32) * 0.2, (i as f32) * 0.3];
idx.insert(v);
}
assert_eq!(idx.len(), 100);
assert!(idx.entry_point.is_some());
// Every node at layer 0 should have at most m0 neighbors.
for node in &idx.nodes {
assert!(
node.neighbors[0].len() <= idx.params.m0,
"layer 0 neighbor count {} exceeds m0={}",
node.neighbors[0].len(),
idx.params.m0,
);
}
// Nodes at higher layers should have at most m neighbors.
for node in &idx.nodes {
for (layer, neighbors) in node.neighbors.iter().enumerate().skip(1) {
assert!(
neighbors.len() <= idx.params.m,
"layer {layer} neighbor count {} exceeds m={}",
neighbors.len(),
idx.params.m,
);
}
}
}
#[test]
fn all_nodes_reachable_from_entry() {
let mut idx = make_index();
for i in 0..20 {
idx.insert(vec![i as f32, 0.0, 0.0]);
}
// Every node should be reachable via search from the entry point.
// This is a stronger property than bidirectionality (which pruning
// can legitimately break for diversity).
for target in 0..20u32 {
let query = idx.get_vector(target).unwrap().to_vec();
let results = idx.search(&query, 1, 32);
assert_eq!(
results[0].id, target,
"node {target} not reachable via search"
);
}
}
#[test]
fn layer_distribution_is_exponential() {
let mut idx = HnswIndex::with_seed(
2,
HnswParams {
m: 16,
m0: 32,
ef_construction: 100,
metric: DistanceMetric::L2,
},
99,
);
for i in 0..1000 {
idx.insert(vec![i as f32, (i as f32) * 0.5]);
}
// Count nodes per layer. Layer 0 should have all nodes.
// Higher layers should have exponentially fewer.
let max_l = idx.nodes.iter().map(|n| n.neighbors.len()).max().unwrap();
let mut counts = vec![0usize; max_l];
for node in &idx.nodes {
for count in counts.iter_mut().take(node.neighbors.len()) {
*count += 1;
}
}
assert_eq!(counts[0], 1000);
// Layer 1 should have roughly 1000/ln(16) ≈ 361, but it's stochastic.
// Just check it's significantly fewer than layer 0.
if counts.len() > 1 {
assert!(counts[1] < 800, "layer 1 has too many nodes: {}", counts[1]);
}
}
#[test]
fn dimension_mismatch_panics() {
let mut idx = make_index();
let result = std::panic::catch_unwind(std::panic::AssertUnwindSafe(|| {
idx.insert(vec![1.0, 2.0]); // dim=2 but index expects dim=3
}));
assert!(result.is_err());
}
#[test]
fn compact_removes_tombstones_and_reclaims_memory() {
let mut idx = make_index();
for i in 0..20u32 {
idx.insert(vec![i as f32, 0.0, 0.0]);
}
assert_eq!(idx.len(), 20);
assert_eq!(idx.live_count(), 20);
// Delete every other node.
for i in (0..20u32).step_by(2) {
assert!(idx.delete(i));
}
assert_eq!(idx.tombstone_count(), 10);
assert_eq!(idx.live_count(), 10);
// Compact.
let removed = idx.compact();
assert_eq!(removed, 10);
assert_eq!(idx.len(), 10);
assert_eq!(idx.live_count(), 10);
assert_eq!(idx.tombstone_count(), 0);
// All remaining nodes should be searchable.
for target_old_id in (1..20u32).step_by(2) {
let query = vec![target_old_id as f32, 0.0, 0.0];
let results = idx.search(&query, 1, 32);
assert!(
!results.is_empty(),
"search failed for old_id={target_old_id}"
);
// The closest result should have the correct vector.
let found_vec = idx.get_vector(results[0].id).unwrap();
assert_eq!(found_vec[0], target_old_id as f32);
}
}
#[test]
fn compact_empty_index() {
let mut idx = make_index();
assert_eq!(idx.compact(), 0);
}
#[test]
fn compact_no_tombstones() {
let mut idx = make_index();
for i in 0..5u32 {
idx.insert(vec![i as f32, 0.0, 0.0]);
}
assert_eq!(idx.compact(), 0);
assert_eq!(idx.len(), 5);
}
#[test]
fn compact_all_deleted() {
let mut idx = make_index();
for i in 0..5u32 {
idx.insert(vec![i as f32, 0.0, 0.0]);
}
for i in 0..5u32 {
idx.delete(i);
}
let removed = idx.compact();
assert_eq!(removed, 5);
assert_eq!(idx.len(), 0);
assert!(idx.is_empty());
assert_eq!(idx.entry_point(), None);
}
#[test]
fn compact_preserves_entry_point() {
let mut idx = make_index();
for i in 0..10u32 {
idx.insert(vec![i as f32, 0.0, 0.0]);
}
let old_ep = idx.entry_point().unwrap();
// Delete nodes that are NOT the entry point.
for i in 0..10u32 {
if i != old_ep {
idx.delete(i);
}
}
idx.compact();
// Entry point should now be remapped to 0 (only remaining node).
assert_eq!(idx.entry_point(), Some(0));
assert_eq!(idx.len(), 1);
}
}