aprender-core 0.31.2

Next-generation machine learning library in pure Rust
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
//\! Tests for graph algorithms.

use crate::graph::*;

#[test]
fn test_empty_graph() {
    let g = Graph::new(false);
    assert_eq!(g.num_nodes(), 0);
    assert_eq!(g.num_edges(), 0);
    assert!(!g.is_directed());
}

#[test]
fn test_directed_graph() {
    let g = Graph::new(true);
    assert!(g.is_directed());
}

#[test]
fn test_from_edges_empty() {
    let g = Graph::from_edges(&[], false);
    assert_eq!(g.num_nodes(), 0);
    assert_eq!(g.num_edges(), 0);
}

#[test]
fn test_from_edges_undirected() {
    let g = Graph::from_edges(&[(0, 1), (1, 2), (2, 0)], false);
    assert_eq!(g.num_nodes(), 3);
    assert_eq!(g.num_edges(), 3);

    // Check neighbors (should be sorted)
    assert_eq!(g.neighbors(0), &[1, 2]);
    assert_eq!(g.neighbors(1), &[0, 2]);
    assert_eq!(g.neighbors(2), &[0, 1]);
}

#[test]
fn test_from_edges_directed() {
    let g = Graph::from_edges(&[(0, 1), (1, 2)], true);
    assert_eq!(g.num_nodes(), 3);
    assert_eq!(g.num_edges(), 2);

    // Directed: edges only go one way
    assert_eq!(g.neighbors(0), &[1]);
    assert_eq!(g.neighbors(1), &[2]);
    assert!(g.neighbors(2).is_empty()); // no outgoing edges
}

#[test]
fn test_from_edges_with_gaps() {
    // Node IDs don't have to be contiguous
    let g = Graph::from_edges(&[(0, 5), (5, 10)], false);
    assert_eq!(g.num_nodes(), 11); // max node + 1
    assert_eq!(g.num_edges(), 2);

    assert_eq!(g.neighbors(0), &[5]);
    assert_eq!(g.neighbors(5), &[0, 10]);
    assert!(g.neighbors(1).is_empty()); // isolated node
}

#[test]
fn test_from_edges_duplicate_edges() {
    // Duplicate edges should be deduplicated
    let g = Graph::from_edges(&[(0, 1), (0, 1), (1, 0)], false);
    assert_eq!(g.num_nodes(), 2);

    // Should only have one edge (0,1) in undirected graph
    assert_eq!(g.neighbors(0), &[1]);
    assert_eq!(g.neighbors(1), &[0]);
}

#[test]
fn test_from_edges_self_loop() {
    let g = Graph::from_edges(&[(0, 0), (0, 1)], false);
    assert_eq!(g.num_nodes(), 2);

    // Self-loop should appear once
    assert_eq!(g.neighbors(0), &[0, 1]);
}

#[test]
fn test_neighbors_invalid_node() {
    let g = Graph::from_edges(&[(0, 1)], false);
    assert!(g.neighbors(999).is_empty()); // non-existent node
}

#[test]
fn test_degree_centrality_empty() {
    let g = Graph::new(false);
    let dc = g.degree_centrality();
    assert_eq!(dc.len(), 0);
}

#[test]
fn test_degree_centrality_single_node() {
    let g = Graph::from_edges(&[(0, 0)], false);
    let dc = g.degree_centrality();
    assert_eq!(dc[&0], 0.0); // single node, normalized degree is 0
}

#[test]
fn test_degree_centrality_star_graph() {
    // Star graph: center node connected to 3 leaves
    let g = Graph::from_edges(&[(0, 1), (0, 2), (0, 3)], false);
    let dc = g.degree_centrality();

    assert_eq!(dc[&0], 1.0); // center: degree 3 / (4-1) = 1.0
    assert!((dc[&1] - 1.0 / 3.0).abs() < 1e-6); // leaves: degree 1 / 3
    assert!((dc[&2] - 1.0 / 3.0).abs() < 1e-6);
    assert!((dc[&3] - 1.0 / 3.0).abs() < 1e-6);
}

#[test]
fn test_degree_centrality_complete_graph() {
    // Complete graph K4: every node connected to every other
    let g = Graph::from_edges(&[(0, 1), (0, 2), (0, 3), (1, 2), (1, 3), (2, 3)], false);
    let dc = g.degree_centrality();

    // All nodes have degree 3 in K4, normalized: 3/3 = 1.0
    for v in 0..4 {
        assert_eq!(dc[&v], 1.0);
    }
}

#[test]
fn test_degree_centrality_path_graph() {
    // Path graph: 0 -- 1 -- 2 -- 3
    let g = Graph::from_edges(&[(0, 1), (1, 2), (2, 3)], false);
    let dc = g.degree_centrality();

    // Endpoints have degree 1, middle nodes have degree 2
    assert!((dc[&0] - 1.0 / 3.0).abs() < 1e-6);
    assert!((dc[&1] - 2.0 / 3.0).abs() < 1e-6);
    assert!((dc[&2] - 2.0 / 3.0).abs() < 1e-6);
    assert!((dc[&3] - 1.0 / 3.0).abs() < 1e-6);
}

#[test]
fn test_degree_centrality_directed() {
    // Directed: only count outgoing edges
    let g = Graph::from_edges(&[(0, 1), (0, 2), (1, 2)], true);
    let dc = g.degree_centrality();

    assert!((dc[&0] - 2.0 / 2.0).abs() < 1e-6); // 2 outgoing edges
    assert!((dc[&1] - 1.0 / 2.0).abs() < 1e-6); // 1 outgoing edge
    assert_eq!(dc[&2], 0.0); // 0 outgoing edges
}

// PageRank tests

#[test]
fn test_pagerank_empty() {
    let g = Graph::new(true);
    let pr = g
        .pagerank(0.85, 100, 1e-6)
        .expect("pagerank should succeed for empty graph");
    assert!(pr.is_empty());
}

#[test]
fn test_pagerank_single_node() {
    let g = Graph::from_edges(&[(0, 0)], true);
    let pr = g
        .pagerank(0.85, 100, 1e-6)
        .expect("pagerank should succeed for single node graph");
    assert_eq!(pr.len(), 1);
    assert!((pr[0] - 1.0).abs() < 1e-6); // Single node has all rank
}

#[test]
fn test_pagerank_sum_equals_one() {
    // PageRank scores must sum to 1.0 (within numerical precision)
    let g = Graph::from_edges(&[(0, 1), (1, 2), (2, 0)], true);
    let pr = g
        .pagerank(0.85, 100, 1e-6)
        .expect("pagerank should converge for cycle graph");
    let sum: f64 = pr.iter().sum();
    assert!((sum - 1.0).abs() < 1e-10); // Kahan ensures high precision
}

#[test]
fn test_pagerank_cycle_graph() {
    // Cycle graph: 0 -> 1 -> 2 -> 0
    // All nodes should have equal PageRank (by symmetry)
    let g = Graph::from_edges(&[(0, 1), (1, 2), (2, 0)], true);
    let pr = g
        .pagerank(0.85, 100, 1e-6)
        .expect("pagerank should converge for symmetric cycle");

    assert_eq!(pr.len(), 3);
    // All nodes have equal rank in symmetric cycle
    assert!((pr[0] - 1.0 / 3.0).abs() < 1e-6);
    assert!((pr[1] - 1.0 / 3.0).abs() < 1e-6);
    assert!((pr[2] - 1.0 / 3.0).abs() < 1e-6);
}

#[test]
fn test_pagerank_star_graph_directed() {
    // Star graph: 0 -> {1, 2, 3}
    // Node 0 distributes rank equally to 1, 2, 3
    let g = Graph::from_edges(&[(0, 1), (0, 2), (0, 3)], true);
    let pr = g
        .pagerank(0.85, 100, 1e-6)
        .expect("pagerank should converge for directed star graph");

    assert_eq!(pr.len(), 4);
    // Leaves have no incoming edges except from 0
    // Node 0 has no incoming edges (lowest rank)
    assert!(pr[0] < pr[1]); // 0 has lowest rank
    assert!((pr[1] - pr[2]).abs() < 1e-6); // leaves have equal rank
    assert!((pr[2] - pr[3]).abs() < 1e-6);
}

#[test]
fn test_pagerank_convergence() {
    // Test that PageRank converges within max_iter
    let g = Graph::from_edges(&[(0, 1), (1, 2), (2, 0), (1, 0)], true);
    let pr = g
        .pagerank(0.85, 100, 1e-6)
        .expect("pagerank should converge within max iterations");

    // Should converge (not hit max_iter)
    assert_eq!(pr.len(), 3);
    assert!((pr.iter().sum::<f64>() - 1.0).abs() < 1e-10);
}

#[test]
fn test_pagerank_no_outgoing_edges() {
    // Node with no outgoing edges (dangling node)
    let g = Graph::from_edges(&[(0, 1), (1, 2)], true);
    let pr = g
        .pagerank(0.85, 100, 1e-6)
        .expect("pagerank should handle dangling nodes correctly");

    // Node 2 has no outgoing edges, but should still have rank
    assert_eq!(pr.len(), 3);
    assert!(pr[2] > 0.0);
    assert!((pr.iter().sum::<f64>() - 1.0).abs() < 1e-10);
}

#[test]
fn test_pagerank_undirected() {
    // Undirected graph: each edge goes both ways
    let g = Graph::from_edges(&[(0, 1), (1, 2)], false);
    let pr = g
        .pagerank(0.85, 100, 1e-6)
        .expect("pagerank should converge for undirected path graph");

    assert_eq!(pr.len(), 3);
    // Middle node should have highest rank
    assert!(pr[1] > pr[0]);
    assert!(pr[1] > pr[2]);
    assert!((pr[0] - pr[2]).abs() < 1e-6); // endpoints equal
}

// Betweenness centrality tests (moved to centrality module, using GraphCentrality trait)

#[test]
fn test_betweenness_centrality_empty() {
    let g = Graph::new(false);
    let bc = g.betweenness_centrality();
    assert!(bc.is_empty());
}

#[test]
fn test_betweenness_centrality_single_node() {
    let g = Graph::from_edges(&[(0, 0)], false);
    let bc = g.betweenness_centrality();
    assert_eq!(bc.len(), 1);
    assert_eq!(bc[0], 0.0); // Single node has no betweenness
}

#[test]
fn test_betweenness_centrality_path_graph() {
    // Path graph: 0 -- 1 -- 2
    // Middle node lies on all paths between endpoints
    let g = Graph::from_edges(&[(0, 1), (1, 2)], false);
    let bc = g.betweenness_centrality();

    assert_eq!(bc.len(), 3);
    // Middle node has highest betweenness (all paths go through it)
    assert!(bc[1] > bc[0]);
    assert!(bc[1] > bc[2]);
    // Endpoints should have equal betweenness (by symmetry)
    assert!((bc[0] - bc[2]).abs() < 1e-6);
}

#[test]
fn test_betweenness_centrality_star_graph() {
    // Star graph: center (0) connected to leaves {1, 2, 3}
    // Center lies on all paths between leaves
    let g = Graph::from_edges(&[(0, 1), (0, 2), (0, 3)], false);
    let bc = g.betweenness_centrality();

    assert_eq!(bc.len(), 4);
    // Center has highest betweenness
    assert!(bc[0] > bc[1]);
    assert!(bc[0] > bc[2]);
    assert!(bc[0] > bc[3]);
    // Leaves should have equal betweenness (by symmetry)
    assert!((bc[1] - bc[2]).abs() < 1e-6);
    assert!((bc[2] - bc[3]).abs() < 1e-6);
}

#[test]
fn test_betweenness_centrality_cycle_graph() {
    // Cycle graph: 0 -- 1 -- 2 -- 3 -- 0
    // All nodes have equal betweenness by symmetry
    let g = Graph::from_edges(&[(0, 1), (1, 2), (2, 3), (3, 0)], false);
    let bc = g.betweenness_centrality();

    assert_eq!(bc.len(), 4);
    // All nodes should have equal betweenness
    for i in 0..4 {
        for j in i + 1..4 {
            assert!((bc[i] - bc[j]).abs() < 1e-6);
        }
    }
}

#[test]
fn test_betweenness_centrality_complete_graph() {
    // Complete graph K4: every node connected to every other
    // All nodes have equal betweenness by symmetry
    let g = Graph::from_edges(&[(0, 1), (0, 2), (0, 3), (1, 2), (1, 3), (2, 3)], false);
    let bc = g.betweenness_centrality();

    assert_eq!(bc.len(), 4);
    // All nodes should have equal betweenness (by symmetry)
    for i in 0..4 {
        for j in i + 1..4 {
            assert!((bc[i] - bc[j]).abs() < 1e-6);
        }
    }
}

#[test]
fn test_betweenness_centrality_bridge_graph() {
    // Bridge graph: (0 -- 1) -- 2 -- (3 -- 4)
    // Node 2 is a bridge and should have high betweenness
    let g = Graph::from_edges(&[(0, 1), (1, 2), (2, 3), (3, 4)], false);
    let bc = g.betweenness_centrality();

    assert_eq!(bc.len(), 5);
    // Bridge node (2) has highest betweenness
    assert!(bc[2] > bc[0]);
    assert!(bc[2] > bc[1]);
    assert!(bc[2] > bc[3]);
    assert!(bc[2] > bc[4]);
    // Nodes 1 and 3 also have some betweenness (but less than 2)
    assert!(bc[1] > bc[0]);
    assert!(bc[3] > bc[4]);
}

#[test]
fn test_betweenness_centrality_directed() {
    // Directed path: 0 -> 1 -> 2
    let g = Graph::from_edges(&[(0, 1), (1, 2)], true);
    let bc = g.betweenness_centrality();

    assert_eq!(bc.len(), 3);
    // In a directed path, middle node should have positive betweenness
    // (it lies on the path from 0 to 2)
    // All nodes should have some betweenness in directed graphs
    assert!(bc.iter().any(|&x| x > 0.0));
}

#[test]
fn test_betweenness_centrality_disconnected() {
    // Disconnected graph: (0 -- 1) and (2 -- 3)
    let g = Graph::from_edges(&[(0, 1), (2, 3)], false);
    let bc = g.betweenness_centrality();

    assert_eq!(bc.len(), 4);
    // Nodes within same component should have equal betweenness
    assert!((bc[0] - bc[1]).abs() < 1e-6);
    assert!((bc[2] - bc[3]).abs() < 1e-6);
}

// Community Detection Tests

#[test]
fn test_modularity_empty_graph() {
    let g = Graph::new(false);
    let communities = vec![];
    let modularity = g.modularity(&communities);
    assert_eq!(modularity, 0.0);
}

#[test]
fn test_modularity_single_community() {
    // Triangle: all nodes in one community
    let g = Graph::from_edges(&[(0, 1), (1, 2), (2, 0)], false);
    let communities = vec![vec![0, 1, 2]];
    let modularity = g.modularity(&communities);
    // For single community covering whole graph, Q = 0
    assert!((modularity - 0.0).abs() < 1e-6);
}

#[test]
fn test_modularity_two_communities() {
    // Two triangles connected by single edge: 0-1-2 and 3-4-5, edge 2-3
    let g = Graph::from_edges(
        &[
            (0, 1),
            (1, 2),
            (2, 0), // Triangle 1
            (3, 4),
            (4, 5),
            (5, 3), // Triangle 2
            (2, 3), // Inter-community edge
        ],
        false,
    );

    let communities = vec![vec![0, 1, 2], vec![3, 4, 5]];
    let modularity = g.modularity(&communities);

    // Should have positive modularity (good community structure)
    assert!(modularity > 0.0);
    assert!(modularity < 1.0); // Not perfect due to inter-community edge
}

#[test]
fn test_modularity_perfect_split() {
    // Two disconnected triangles
    let g = Graph::from_edges(
        &[
            (0, 1),
            (1, 2),
            (2, 0), // Triangle 1
            (3, 4),
            (4, 5),
            (5, 3), // Triangle 2
        ],
        false,
    );

    let communities = vec![vec![0, 1, 2], vec![3, 4, 5]];
    let modularity = g.modularity(&communities);

    // Perfect split should have high modularity
    assert!(modularity > 0.5);
}

include!("core_louvain.rs");
include!("core_density.rs");
include!("core_dijkstra.rs");