Zero/TestHNSW/HNSWDemo/Utils/VectorsDirectCompare.cs

using System;
using System.Collections.Generic;
using System.Linq;
using ZeroLevel.HNSW;

namespace HNSWDemo.Utils
{
    public class VectorsDirectCompare
    {
        private const int HALF_LONG_BITS = 32;
        private readonly IList<float[]> _vectors;
        private readonly Func<float[], float[], float> _distance;

        public VectorsDirectCompare(List<float[]> vectors, Func<float[], float[], float> distance)
        {
            _vectors = vectors;
            _distance = distance;
        }

        public IEnumerable<(int, float)> KNearest(float[] v, int k)
        {
            var weights = new Dictionary<int, float>();
            for (int i = 0; i < _vectors.Count; i++)
            {
                var d = _distance(v, _vectors[i]);
                weights[i] = d;
            }
            return weights.OrderBy(p => p.Value).Take(k).Select(p => (p.Key, p.Value));
        }

        public List<HashSet<int>> DetectClusters()
        {
            var links = new SortedList<long, float>();
            for (int i = 0; i < _vectors.Count; i++)
            {
                for (int j = i + 1; j < _vectors.Count; j++)
                {
                    long k = (((long)(i)) << HALF_LONG_BITS) + j;
                    links.Add(k, _distance(_vectors[i], _vectors[j]));
                }
            }

            // 1. Find R - bound between intra-cluster distances and out-of-cluster distances
            var histogram = new Histogram(HistogramMode.SQRT, links.Values);
            int threshold = histogram.CuttOff();
            var min = histogram.Bounds[threshold - 1];
            var max = histogram.Bounds[threshold];
            var R = (max + min) / 2;

            // 2. Get links with distances less than R
            var resultLinks = new SortedList<long, float>();
            foreach (var pair in links)
            {
                if (pair.Value < R)
                {
                    resultLinks.Add(pair.Key, pair.Value);
                }
            }

            // 3. Extract clusters
            List<HashSet<int>> clusters = new List<HashSet<int>>();
            foreach (var pair in resultLinks)
            {
                var k = pair.Key;
                var id1 = (int)(k >> HALF_LONG_BITS);
                var id2 = (int)(k - (((long)id1) << HALF_LONG_BITS));

                bool found = false;
                foreach (var c in clusters)
                {
                    if (c.Contains(id1))
                    {
                        c.Add(id2);
                        found = true;
                        break;
                    }
                    else if (c.Contains(id2))
                    {
                        c.Add(id1);
                        found = true;
                        break;
                    }
                }
                if (found == false)
                {
                    var c = new HashSet<int>();
                    c.Add(id1);
                    c.Add(id2);
                    clusters.Add(c);
                }
            }
            return clusters;
        }
    }
}