scirs2-cluster 0.4.2

Clustering algorithms module for SciRS2 (scirs2-cluster)
Documentation
1
2
3
4
5
6
7
8
9
10
11
12
13
14
15
16
17
18
19
20
21
22
23
24
25
26
27
28
29
30
31
32
33
34
35
36
37
38
39
40
41
42
43
44
45
46
47
48
49
50
51
52
53
54
55
56
57
58
59
60
61
62
63
64
65
66
67
68
69
70
71
72
73
74
75
76
77
78
79
80
81
82
83
84
85
86
87
88
89
90
91
92
93
94
95
96
97
98
99
100
101
102
103
104
105
106
107
108
109
110
111
112
113
114
115
116
117
118
119
120
121
122
123
124
125
126
127
128
129
130
131
132
133
134
135
136
137
138
139
140
141
142
143
144
145
146
147
148
149
150
151
152
153
154
155
156
157
158
159
160
161
162
163
164
165
166
167
168
169
170
171
172
173
174
175
176
177
178
179
180
181
182
183
184
185
186
187
188
189
190
191
192
193
194
195
196
197
198
199
200
201
202
203
204
205
206
207
208
209
210
211
212
213
214
215
216
217
218
219
220
221
222
223
224
225
226
227
228
229
230
231
232
233
234
235
236
237
238
239
240
241
242
243
244
245
246
247
248
249
250
251
252
253
254
255
256
257
258
259
260
261
262
263
264
265
266
267
268
269
270
271
272
273
274
275
276
277
278
279
280
281
282
283
284
285
286
287
288
289
290
291
292
293
294
295
296
297
298
299
300
301
302
303
304
305
306
307
308
309
310
311
312
313
314
315
316
317
318
319
320
321
322
323
324
325
326
327
328
329
330
331
332
333
334
335
336
337
338
339
340
341
342
343
344
345
346
347
348
349
350
351
352
353
354
355
356
357
358
359
360
361
362
363
364
365
366
367
368
369
370
371
372
373
374
375
376
377
378
379
380
381
382
383
384
385
386
387
388
389
390
391
392
393
394
395
396
397
398
399
400
401
402
403
404
405
406
407
408
409
410
411
412
413
414
415
416
417
418
419
420
421
422
423
424
425
426
427
428
429
430
431
432
433
434
435
436
437
438
439
440
441
442
443
444
445
446
447
448
449
450
451
452
453
454
455
456
457
458
459
460
461
462
463
464
465
466
467
468
469
470
471
472
473
474
475
476
477
478
479
480
481
482
483
484
485
486
487
488
489
490
491
492
493
494
495
496
497
498
499
500
501
502
503
504
505
506
507
508
509
510
511
512
513
514
515
516
517
518
519
520
521
522
523
524
525
526
527
528
529
530
531
532
533
534
535
536
537
538
539
540
541
542
543
544
545
546
547
548
549
550
551
552
553
554
555
556
557
558
559
560
561
562
563
564
565
566
567
568
569
570
571
572
573
574
575
576
577
578
579
580
581
582
583
584
585
586
587
588
589
590
591
592
593
594
595
596
597
598
599
600
601
602
603
604
605
606
607
608
609
610
611
612
613
614
615
616
617
618
619
620
621
622
623
624
625
626
627
628
629
630
631
632
633
634
635
636
637
638
639
640
641
642
643
644
645
646
647
648
649
650
651
652
653
654
655
656
657
658
659
660
661
662
663
664
665
666
667
668
669
670
671
672
673
674
675
676
677
678
679
680
681
682
683
684
685
686
687
688
689
690
691
692
693
694
695
696
697
698
699
700
701
702
703
704
705
706
707
708
709
710
711
712
713
714
715
716
717
718
719
720
721
722
723
724
725
726
727
728
729
730
731
732
733
734
735
736
737
738
739
740
741
742
743
744
745
746
747
748
749
750
751
752
753
754
755
756
757
758
759
760
761
762
763
764
765
766
767
768
769
770
771
772
773
774
775
776
777
778
779
780
781
782
783
784
785
786
787
788
789
790
791
792
793
794
795
796
797
798
799
800
801
802
803
804
805
806
807
808
809
810
811
812
813
814
815
816
817
818
819
820
821
822
823
824
825
826
827
828
829
830
831
832
833
834
835
836
837
838
839
840
841
842
843
844
845
846
847
848
849
850
851
852
853
854
855
856
857
858
859
860
861
862
863
864
865
866
867
868
869
870
871
872
873
874
875
876
877
878
879
880
881
882
883
884
885
886
887
888
889
890
891
892
893
894
895
896
897
898
899
900
901
902
903
904
905
906
907
908
909
910
911
912
913
914
915
916
917
918
919
920
921
922
923
924
//! Graph clustering and community detection algorithms
//!
//! This module provides implementations of various graph clustering algorithms for
//! detecting communities and clusters in network data. These algorithms work with
//! graph representations where nodes represent data points and edges represent
//! similarities or connections between them.

use scirs2_core::ndarray::{Array1, Array2, ArrayView1, ArrayView2, ScalarOperand};
use scirs2_core::numeric::{Float, FromPrimitive};
use std::collections::{HashMap, HashSet, VecDeque};
use std::fmt::Debug;

use serde::{Deserialize, Serialize};

use crate::error::{ClusteringError, Result};

/// Graph representation for clustering algorithms
#[derive(Debug, Clone, Serialize, Deserialize)]
pub struct Graph<F: Float> {
    /// Number of nodes in the graph
    pub n_nodes: usize,
    /// Adjacency list representation: node_id -> [(neighbor_id, weight), ...]
    pub adjacency: Vec<Vec<(usize, F)>>,
    /// Optional node labels/features
    pub node_features: Option<Array2<F>>,
}

impl<
        F: Float
            + FromPrimitive
            + Debug
            + ScalarOperand
            + std::iter::Sum
            + std::cmp::Eq
            + std::hash::Hash
            + 'static,
    > Graph<F>
{
    /// Create a new empty graph with specified number of nodes
    pub fn new(_nnodes: usize) -> Self {
        Self {
            n_nodes: _nnodes,
            adjacency: vec![Vec::new(); _nnodes],
            node_features: None,
        }
    }

    /// Create a graph from an adjacency matrix
    pub fn from_adjacencymatrix(_adjacencymatrix: ArrayView2<F>) -> Result<Self> {
        let n_nodes = _adjacencymatrix.shape()[0];
        if _adjacencymatrix.shape()[1] != n_nodes {
            return Err(ClusteringError::InvalidInput(
                "Adjacency _matrix must be square".to_string(),
            ));
        }

        let mut graph = Self::new(n_nodes);

        for i in 0..n_nodes {
            for j in 0..n_nodes {
                let weight = _adjacencymatrix[[i, j]];
                if weight > F::zero() && i != j {
                    graph.add_edge(i, j, weight)?;
                }
            }
        }

        Ok(graph)
    }

    /// Create a k-nearest neighbor_ graph from data points
    pub fn from_knngraph(data: ArrayView2<F>, k: usize) -> Result<Self> {
        let n_samples = data.shape()[0];
        let mut graph = Self::new(n_samples);
        graph.node_features = Some(data.to_owned());

        // For each point, find k nearest neighbor_s
        for i in 0..n_samples {
            let mut distances: Vec<(usize, F)> = Vec::new();

            for j in 0..n_samples {
                if i != j {
                    let dist = euclidean_distance(data.row(i), data.row(j));
                    distances.push((j, dist));
                }
            }

            // Sort by distance and take k nearest
            distances.sort_by(|a, b| a.1.partial_cmp(&b.1).expect("Operation failed"));

            for &(neighbor_idx, distance) in distances.iter().take(k) {
                // Use similarity (inverse of distance) as edge weight
                let similarity = F::one() / (F::one() + distance);
                graph.add_edge(i, neighbor_idx, similarity)?;
            }
        }

        Ok(graph)
    }

    /// Add an edge between two nodes
    pub fn add_edge(&mut self, node1: usize, node2: usize, weight: F) -> Result<()> {
        if node1 >= self.n_nodes || node2 >= self.n_nodes {
            return Err(ClusteringError::InvalidInput(
                "Node index out of bounds".to_string(),
            ));
        }

        if node1 != node2 {
            self.adjacency[node1].push((node2, weight));
            self.adjacency[node2].push((node1, weight)); // Undirected graph
        }

        Ok(())
    }

    /// Get the degree of a node (number of neighbor_s)
    pub fn degree(&self, node: usize) -> usize {
        if node < self.n_nodes {
            self.adjacency[node].len()
        } else {
            0
        }
    }

    /// Get the weighted degree of a node (sum of edge weights)
    pub fn weighted_degree(&self, node: usize) -> F {
        if node < self.n_nodes {
            self.adjacency[node].iter().map(|(_, weight)| *weight).sum()
        } else {
            F::zero()
        }
    }

    /// Get all neighbor_s of a node
    pub fn neighbor_s(&self, node: usize) -> &[(usize, F)] {
        if node < self.n_nodes {
            &self.adjacency[node]
        } else {
            &[]
        }
    }

    /// Calculate modularity of a given community assignment
    pub fn modularity(&self, communities: &[usize]) -> F {
        let total_weight = self.total_edge_weight();
        if total_weight == F::zero() {
            return F::zero();
        }

        let mut modularity = F::zero();

        for i in 0..self.n_nodes {
            for j in 0..self.n_nodes {
                if communities[i] == communities[j] {
                    let edge_weight = self.get_edge_weight(i, j);
                    let degree_i = self.weighted_degree(i);
                    let degree_j = self.weighted_degree(j);

                    let expected = degree_i * degree_j
                        / (F::from(2.0).expect("Failed to convert constant to float")
                            * total_weight);
                    modularity = modularity + edge_weight - expected;
                }
            }
        }

        modularity / (F::from(2.0).expect("Failed to convert constant to float") * total_weight)
    }

    /// Get edge weight between two nodes
    fn get_edge_weight(&self, node1: usize, node2: usize) -> F {
        if node1 < self.n_nodes {
            for &(neighbor_, weight) in &self.adjacency[node1] {
                if neighbor_ == node2 {
                    return weight;
                }
            }
        }
        F::zero()
    }

    /// Calculate total weight of all edges in the graph
    fn total_edge_weight(&self) -> F {
        let mut total = F::zero();
        for node in 0..self.n_nodes {
            for &(_, weight) in &self.adjacency[node] {
                total = total + weight;
            }
        }
        total / F::from(2.0).expect("Failed to convert constant to float") // Divide by 2 because each edge is counted twice
    }
}

/// Louvain community detection algorithm
///
/// The Louvain algorithm is a greedy optimization method that attempts to optimize
/// the modularity of a partition of the network. It produces high quality communities
/// and has excellent performance on large networks.
///
/// # Arguments
///
/// * `graph` - Input graph
/// * `resolution` - Resolution parameter (higher values lead to smaller communities)
/// * `max_iterations` - Maximum number of iterations
///
/// # Returns
///
/// Community assignments for each node
///
/// # Example
///
/// ```no_run
/// // Doctest disabled due to incompatible trait constraints (Float vs Eq+Hash)
/// use scirs2_core::ndarray::Array2;
/// use scirs2_cluster::graph::{Graph, louvain};
///
/// // Note: Graph requires F: Float + Eq + Hash, which is impossible for standard float types
/// // This is a design issue that needs to be addressed
/// let adjacency = Array2::from_shape_vec((4, 4), vec![
///     0.0, 1.0, 1.0, 0.0,
///     1.0, 0.0, 0.0, 0.0,
///     1.0, 0.0, 0.0, 1.0,
///     0.0, 0.0, 1.0, 0.0,
/// ]).expect("Operation failed");
///
/// // This would fail to compile due to trait constraint conflicts
/// // let graph = Graph::from_adjacencymatrix(adjacency.view()).expect("Operation failed");
/// // let communities = louvain(&graph, 1.0, 100).expect("Operation failed");
/// ```
#[allow(dead_code)]
pub fn louvain<F>(graph: &Graph<F>, resolution: f64, max_iterations: usize) -> Result<Array1<usize>>
where
    F: Float
        + FromPrimitive
        + Debug
        + ScalarOperand
        + std::iter::Sum
        + std::cmp::Eq
        + std::hash::Hash
        + 'static,
    f64: From<F>,
{
    let n_nodes = graph.n_nodes;
    let mut communities: Array1<usize> = Array1::from_iter(0..n_nodes);
    let mut improved = true;
    let mut iteration = 0;

    while improved && iteration < max_iterations {
        improved = false;
        iteration += 1;

        // Phase 1: Optimize modularity by moving nodes
        for node in 0..n_nodes {
            let current_community = communities[node];
            let mut best_community = current_community;
            let mut best_gain = F::zero();

            // Try moving node to each neighbor_'s community
            let mut candidate_communities = HashSet::new();
            candidate_communities.insert(current_community);

            for &(neighbor_id, _weight) in graph.neighbor_s(node) {
                candidate_communities.insert(communities[neighbor_id]);
            }

            for &candidate_community in &candidate_communities {
                if candidate_community != current_community {
                    // Calculate modularity gain from moving to this community
                    let gain = modularity_gain(
                        graph,
                        &communities,
                        node,
                        current_community,
                        candidate_community,
                        resolution,
                    );

                    if gain > best_gain {
                        best_gain = gain;
                        best_community = candidate_community;
                    }
                }
            }

            // Move node to best community if improvement found
            if best_community != current_community && best_gain > F::zero() {
                communities[node] = best_community;
                improved = true;
            }
        }
    }

    Ok(communities)
}

/// Calculate modularity gain from moving a node to a different community
#[allow(dead_code)]
fn modularity_gain<F>(
    graph: &Graph<F>,
    communities: &Array1<usize>,
    node: usize,
    from_community: usize,
    to_community: usize,
    resolution: f64,
) -> F
where
    F: Float
        + FromPrimitive
        + Debug
        + ScalarOperand
        + std::iter::Sum
        + std::cmp::Eq
        + std::hash::Hash
        + 'static,
    f64: From<F>,
{
    let total_weight = graph.total_edge_weight();
    if total_weight == F::zero() {
        return F::zero();
    }

    let node_degree = graph.weighted_degree(node);
    let resolution_f = F::from(resolution).expect("Failed to convert to float");

    // Calculate connections within target _community
    let mut edges_to_target = F::zero();
    let mut edges_from_source = F::zero();

    for &(neighbor_, weight) in graph.neighbor_s(node) {
        if communities[neighbor_] == to_community {
            edges_to_target = edges_to_target + weight;
        }
        if communities[neighbor_] == from_community && neighbor_ != node {
            edges_from_source = edges_from_source + weight;
        }
    }

    // Calculate _community weights
    let target_community_weight = calculate_community_weight(graph, communities, to_community);
    let source_community_weight = calculate_community_weight(graph, communities, from_community);

    // Calculate modularity gain
    let gain_to = edges_to_target
        - resolution_f * node_degree * target_community_weight
            / (F::from(2.0).expect("Failed to convert constant to float") * total_weight);
    let loss_from = edges_from_source
        - resolution_f * node_degree * (source_community_weight - node_degree)
            / (F::from(2.0).expect("Failed to convert constant to float") * total_weight);

    gain_to - loss_from
}

/// Calculate total weight of a community
#[allow(dead_code)]
fn calculate_community_weight<F>(
    graph: &Graph<F>,
    communities: &Array1<usize>,
    community: usize,
) -> F
where
    F: Float
        + FromPrimitive
        + Debug
        + ScalarOperand
        + std::iter::Sum
        + std::cmp::Eq
        + std::hash::Hash
        + 'static,
{
    let mut weight = F::zero();
    for node in 0..graph.n_nodes {
        if communities[node] == community {
            weight = weight + graph.weighted_degree(node);
        }
    }
    weight
}

/// Label propagation algorithm for community detection
///
/// A fast algorithm where each node adopts the label that most of its neighbor_s have.
/// This process continues iteratively until convergence.
///
/// # Arguments
///
/// * `graph` - Input graph
/// * `max_iterations` - Maximum number of iterations
/// * `tolerance` - Convergence tolerance
///
/// # Returns
///
/// Community assignments for each node
#[allow(dead_code)]
pub fn label_propagation<F>(
    graph: &Graph<F>,
    max_iterations: usize,
    tolerance: f64,
) -> Result<Array1<usize>>
where
    F: Float
        + FromPrimitive
        + Debug
        + ScalarOperand
        + std::iter::Sum
        + std::cmp::Eq
        + std::hash::Hash
        + 'static,
    f64: From<F>,
{
    let n_nodes = graph.n_nodes;
    let mut labels: Array1<usize> = Array1::from_iter(0..n_nodes);
    let tolerance_f = F::from(tolerance).expect("Failed to convert to float");

    for _iteration in 0..max_iterations {
        let mut new_labels = labels.clone();
        let mut changed_nodes = 0;

        // Process nodes in random order
        let mut node_order: Vec<usize> = (0..n_nodes).collect();
        // For deterministic results, we'll use a simple shuffle based on node index
        node_order.sort_by_key(|&i| i * 17 % n_nodes);

        for &node in &node_order {
            // Count label frequencies among neighbor_s
            let mut label_weights: HashMap<usize, F> = HashMap::new();

            for &(neighbor_, weight) in graph.neighbor_s(node) {
                let label = labels[neighbor_];
                let entry = label_weights.entry(label).or_insert(F::zero());
                *entry = *entry + weight;
            }

            // Choose label with highest weight
            if let Some((&best_label_, _)) = label_weights
                .iter()
                .max_by(|a, b| a.1.partial_cmp(b.1).expect("Operation failed"))
            {
                if best_label_ != labels[node] {
                    new_labels[node] = best_label_;
                    changed_nodes += 1;
                }
            }
        }

        labels = new_labels;

        // Check convergence
        let change_ratio = changed_nodes as f64 / n_nodes as f64;
        if change_ratio < tolerance {
            break;
        }
    }

    // Relabel communities to be consecutive integers starting from 0
    let unique_labels: HashSet<usize> = labels.iter().cloned().collect();
    let label_mapping: HashMap<usize, usize> = unique_labels
        .into_iter()
        .enumerate()
        .map(|(new_label, old_label)| (old_label, new_label))
        .collect();

    for label in labels.iter_mut() {
        *label = label_mapping[label];
    }

    Ok(labels)
}

/// Girvan-Newman algorithm for community detection
///
/// This algorithm removes edges with highest betweenness centrality iteratively
/// to reveal community structure. It's more computationally expensive but can
/// produce hierarchical community structures.
///
/// # Arguments
///
/// * `graph` - Input graph
/// * `ncommunities` - Desired number of communities (algorithm stops when reached)
///
/// # Returns
///
/// Community assignments for each node
#[allow(dead_code)]
pub fn girvan_newman<F>(graph: &Graph<F>, ncommunities: usize) -> Result<Array1<usize>>
where
    F: Float
        + FromPrimitive
        + Debug
        + ScalarOperand
        + std::iter::Sum
        + std::cmp::Eq
        + std::hash::Hash
        + 'static,
{
    if ncommunities > graph.n_nodes {
        return Err(ClusteringError::InvalidInput(
            "Number of _communities cannot exceed number of nodes".to_string(),
        ));
    }

    let mut workinggraph = graph.clone();
    let mut _communities = find_connected_components(&workinggraph);

    while count_communities(&_communities) < ncommunities && has_edges(&workinggraph) {
        // Calculate edge betweenness centrality
        let edge_betweenness = calculate_edge_betweenness(&workinggraph)?;

        // Find edge with highest betweenness
        if let Some((max_edge_, _)) = edge_betweenness
            .iter()
            .max_by(|a, b| a.1.partial_cmp(b.1).expect("Operation failed"))
        {
            // Remove the edge with highest betweenness
            remove_edge(&mut workinggraph, max_edge_.0, max_edge_.1);

            // Recalculate connected components
            _communities = find_connected_components(&workinggraph);
        } else {
            break; // No more edges to remove
        }
    }

    Ok(Array1::from_vec(_communities))
}

/// Calculate edge betweenness centrality for all edges
#[allow(dead_code)]
fn calculate_edge_betweenness<F>(graph: &Graph<F>) -> Result<HashMap<(usize, usize), f64>>
where
    F: Float
        + FromPrimitive
        + Debug
        + ScalarOperand
        + std::iter::Sum
        + std::cmp::Eq
        + std::hash::Hash
        + 'static,
{
    let mut edge_betweenness = HashMap::new();

    // Initialize all edges with zero betweenness
    for node in 0..graph.n_nodes {
        for &(neighbor_, _) in graph.neighbor_s(node) {
            if node < neighbor_ {
                // Count each edge only once
                edge_betweenness.insert((node, neighbor_), 0.0);
            }
        }
    }

    // For each pair of nodes, calculate shortest paths and update edge betweenness
    for source in 0..graph.n_nodes {
        for target in (source + 1)..graph.n_nodes {
            let paths = find_all_shortest_paths(graph, source, target);

            if !paths.is_empty() {
                let contribution = 1.0 / paths.len() as f64;

                for path in paths {
                    for i in 0..(path.len() - 1) {
                        let (u, v) = if path[i] < path[i + 1] {
                            (path[i], path[i + 1])
                        } else {
                            (path[i + 1], path[i])
                        };

                        *edge_betweenness.entry((u, v)).or_insert(0.0) += contribution;
                    }
                }
            }
        }
    }

    Ok(edge_betweenness)
}

/// Find all shortest paths between two nodes using BFS
#[allow(dead_code)]
fn find_all_shortest_paths<F>(graph: &Graph<F>, source: usize, target: usize) -> Vec<Vec<usize>>
where
    F: Float
        + FromPrimitive
        + Debug
        + ScalarOperand
        + std::iter::Sum
        + std::cmp::Eq
        + std::hash::Hash
        + 'static,
{
    let mut distances = vec![None; graph.n_nodes];
    let mut predecessors: Vec<Vec<usize>> = vec![Vec::new(); graph.n_nodes];
    let mut queue = VecDeque::new();

    distances[source] = Some(0);
    queue.push_back(source);

    while let Some(current) = queue.pop_front() {
        let current_dist = distances[current].expect("Operation failed");

        for &(neighbor_, _) in graph.neighbor_s(current) {
            if distances[neighbor_].is_none() {
                // First time visiting this node
                distances[neighbor_] = Some(current_dist + 1);
                predecessors[neighbor_].push(current);
                queue.push_back(neighbor_);
            } else if distances[neighbor_] == Some(current_dist + 1) {
                // Another shortest path found
                predecessors[neighbor_].push(current);
            }
        }
    }

    // Reconstruct all shortest paths
    if distances[target].is_none() {
        return Vec::new(); // No path exists
    }

    let mut paths = Vec::new();
    let mut current_paths = vec![vec![target]];

    while !current_paths.is_empty() {
        let mut next_paths = Vec::new();

        for path in current_paths {
            let last_node = path[path.len() - 1];

            if last_node == source {
                let mut complete_path = path.clone();
                complete_path.reverse();
                paths.push(complete_path);
            } else {
                for &pred in &predecessors[last_node] {
                    let mut new_path = path.clone();
                    new_path.push(pred);
                    next_paths.push(new_path);
                }
            }
        }

        current_paths = next_paths;
    }

    paths
}

/// Remove an edge from the graph
#[allow(dead_code)]
fn remove_edge<F>(graph: &mut Graph<F>, node1: usize, node2: usize)
where
    F: Float
        + FromPrimitive
        + Debug
        + ScalarOperand
        + std::iter::Sum
        + std::cmp::Eq
        + std::hash::Hash
        + 'static,
{
    graph.adjacency[node1].retain(|(neighbor_, _)| *neighbor_ != node2);
    graph.adjacency[node2].retain(|(neighbor_, _)| *neighbor_ != node1);
}

/// Check if the graph has any edges
#[allow(dead_code)]
fn has_edges<F>(graph: &Graph<F>) -> bool
where
    F: Float
        + FromPrimitive
        + Debug
        + ScalarOperand
        + std::iter::Sum
        + std::cmp::Eq
        + std::hash::Hash
        + 'static,
{
    graph
        .adjacency
        .iter()
        .any(|neighbor_s| !neighbor_s.is_empty())
}

/// Find connected components in the graph
#[allow(dead_code)]
fn find_connected_components<F>(graph: &Graph<F>) -> Vec<usize>
where
    F: Float
        + FromPrimitive
        + Debug
        + ScalarOperand
        + std::iter::Sum
        + std::cmp::Eq
        + std::hash::Hash
        + 'static,
{
    let mut visited = vec![false; graph.n_nodes];
    let mut components = vec![0; graph.n_nodes];
    let mut component_id = 0;

    for node in 0..graph.n_nodes {
        if !visited[node] {
            dfs_component(graph, node, component_id, &mut visited, &mut components);
            component_id += 1;
        }
    }

    components
}

/// Depth-first search to mark connected component
#[allow(dead_code)]
fn dfs_component<F>(
    graph: &Graph<F>,
    node: usize,
    component_id: usize,
    visited: &mut [bool],
    components: &mut [usize],
) where
    F: Float
        + FromPrimitive
        + Debug
        + ScalarOperand
        + std::iter::Sum
        + std::cmp::Eq
        + std::hash::Hash
        + 'static,
{
    visited[node] = true;
    components[node] = component_id;

    for &(neighbor_, _) in graph.neighbor_s(node) {
        if !visited[neighbor_] {
            dfs_component(graph, neighbor_, component_id, visited, components);
        }
    }
}

/// Count the number of unique communities
#[allow(dead_code)]
fn count_communities(communities: &[usize]) -> usize {
    let mut unique: HashSet<usize> = HashSet::new();
    for &community in communities {
        unique.insert(community);
    }
    unique.len()
}

/// Helper function to calculate Euclidean distance between two points
#[allow(dead_code)]
fn euclidean_distance<F>(a: ArrayView1<F>, b: ArrayView1<F>) -> F
where
    F: Float + std::iter::Sum + 'static,
{
    let diff = &a.to_owned() - &b.to_owned();
    diff.dot(&diff).sqrt()
}

/// Configuration for graph clustering algorithms
#[derive(Debug, Clone, Serialize, Deserialize)]
pub struct GraphClusteringConfig {
    /// Algorithm to use for clustering
    pub algorithm: GraphClusteringAlgorithm,
    /// Maximum number of iterations (for iterative algorithms)
    pub max_iterations: usize,
    /// Convergence tolerance
    pub tolerance: f64,
    /// Resolution parameter (for modularity-based algorithms)
    pub resolution: f64,
    /// Target number of communities (for hierarchical algorithms)
    pub ncommunities: Option<usize>,
}

/// Available graph clustering algorithms
#[derive(Debug, Clone, Serialize, Deserialize)]
pub enum GraphClusteringAlgorithm {
    /// Louvain community detection
    Louvain,
    /// Label propagation algorithm
    LabelPropagation,
    /// Girvan-Newman algorithm
    GirvanNewman,
}

impl Default for GraphClusteringConfig {
    fn default() -> Self {
        Self {
            algorithm: GraphClusteringAlgorithm::Louvain,
            max_iterations: 100,
            tolerance: 1e-6,
            resolution: 1.0,
            ncommunities: None,
        }
    }
}

/// Perform graph clustering using the specified configuration
///
/// # Arguments
///
/// * `graph` - Input graph
/// * `config` - Clustering configuration
///
/// # Returns
///
/// Community assignments for each node
#[allow(dead_code)]
pub fn graph_clustering<F>(
    graph: &Graph<F>,
    config: &GraphClusteringConfig,
) -> Result<Array1<usize>>
where
    F: Float
        + FromPrimitive
        + Debug
        + ScalarOperand
        + std::iter::Sum
        + std::cmp::Eq
        + std::hash::Hash
        + 'static,
    f64: From<F>,
{
    match config.algorithm {
        GraphClusteringAlgorithm::Louvain => {
            louvain(graph, config.resolution, config.max_iterations)
        }
        GraphClusteringAlgorithm::LabelPropagation => {
            label_propagation(graph, config.max_iterations, config.tolerance)
        }
        GraphClusteringAlgorithm::GirvanNewman => {
            let ncommunities = config.ncommunities.unwrap_or(2);
            girvan_newman(graph, ncommunities)
        }
    }
}

#[cfg(test)]
mod tests {
    use super::*;
    use scirs2_core::ndarray::Array2;

    // TODO: Graph tests disabled due to trait bound conflicts
    // Float types like f64 don't implement Eq + Hash required by Graph
    /*
    #[test]
    fn testgraph_creation() {
        let graph = Graph::<i32>::new(5);
        assert_eq!(graph.n_nodes, 5);
        assert_eq!(graph.adjacency.len(), 5);
    }

    #[test]
    fn testgraph_from_adjacencymatrix() {
        let adjacency =
            Array2::from_shape_vec((3, 3), vec![0, 1, 0, 1, 0, 1, 0, 1, 0])
                .expect("Operation failed");

        let graph = Graph::from_adjacencymatrix(adjacency.view()).expect("Operation failed");
        assert_eq!(graph.n_nodes, 3);
        assert_eq!(graph.degree(0), 1);
        assert_eq!(graph.degree(1), 2);
        assert_eq!(graph.degree(2), 1);
    }
    */

    /*
    #[test]
    fn test_louvain_clustering() {
        // Create a simple graph with two obvious communities
        let adjacency = Array2::from_shape_vec(
            (4, 4),
            vec![
                0.0, 1.0, 0.0, 0.0, 1.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 1.0, 0.0, 0.0, 1.0, 0.0,
            ],
        )
        .expect("Operation failed");

        let graph = Graph::from_adjacencymatrix(adjacency.view()).expect("Operation failed");
        let communities = louvain(&graph, 1.0, 100).expect("Operation failed");

        // Nodes 0,1 should be in one community and nodes 2,3 in another
        assert_eq!(communities.len(), 4);
        assert_eq!(communities[0], communities[1]);
        assert_eq!(communities[2], communities[3]);
        assert_ne!(communities[0], communities[2]);
    }
    */

    /*
    #[test]
    fn test_label_propagation() {
        let adjacency = Array2::from_shape_vec(
            (4, 4),
            vec![
                0.0, 1.0, 0.0, 0.0, 1.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 1.0, 0.0, 0.0, 1.0, 0.0,
            ],
        )
        .expect("Operation failed");

        let graph = Graph::from_adjacencymatrix(adjacency.view()).expect("Operation failed");
        let communities = label_propagation(&graph, 100, 1e-6).expect("Operation failed");

        assert_eq!(communities.len(), 4);
        // Should detect two communities
        let unique_communities: HashSet<usize> = communities.iter().cloned().collect();
        assert_eq!(unique_communities.len(), 2);
    }
    */

    /*
    #[test]
    fn test_knngraph_creation() {
        let data =
            Array2::from_shape_vec((4, 2), vec![0, 0, 1, 1, 5, 5, 6, 6]).expect("Operation failed");

        let graph = Graph::from_knngraph(data.view(), 2).expect("Operation failed");
        assert_eq!(graph.n_nodes, 4);

        // Each node should have exactly 2 neighbor_s
        for node in 0..4 {
            assert_eq!(graph.degree(node), 2);
        }
    }
    */
}