oxicuda-sparse 0.4.1

OxiCUDA Sparse - GPU-accelerated sparse matrix operations (cuSPARSE equivalent)
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
use super::*;

// -- BatchScheduler tests -----------------------------------------------

#[test]
fn scheduler_sequential_for_small_batch_large_matrices() {
    let s = BatchScheduler::new();
    assert_eq!(s.select_strategy(2, 50_000), Strategy::Sequential);
    assert_eq!(s.select_strategy(4, 10_000), Strategy::Sequential);
}

#[test]
fn scheduler_fused_for_large_batch_small_matrices() {
    let s = BatchScheduler::new();
    assert_eq!(s.select_strategy(100, 100), Strategy::Fused);
    assert_eq!(s.select_strategy(64, 255), Strategy::Fused);
}

#[test]
fn scheduler_concurrent_for_medium_cases() {
    let s = BatchScheduler::new();
    let strat = s.select_strategy(16, 1000);
    match strat {
        Strategy::Concurrent(n) => assert!((1..=8).contains(&n)),
        other => panic!("expected Concurrent, got {:?}", other),
    }
}

#[test]
fn scheduler_concurrent_caps_at_8_streams() {
    let strat = BatchScheduler::select_strategy_static(32, 1000);
    assert_eq!(strat, Strategy::Concurrent(8));
}

#[test]
fn scheduler_static_matches_instance() {
    let s = BatchScheduler::new();
    for (bs, nnz) in [(1, 100), (10, 500), (64, 100), (3, 20_000)] {
        assert_eq!(
            s.select_strategy(bs, nnz),
            BatchScheduler::select_strategy_static(bs, nnz)
        );
    }
}

#[test]
fn scheduler_default_trait() {
    let s = BatchScheduler::default();
    // Should not panic
    let _ = s.select_strategy(1, 1);
}

// -- BatchedSpMVPlan tests (host arrays) --------------------------------

#[test]
fn plan_from_host_arrays_basic() {
    // Two 2x2 identity matrices
    let rp = vec![vec![0, 1, 2], vec![0, 1, 2]];
    let ci = vec![vec![0, 1], vec![0, 1]];
    let vals: Vec<Vec<f32>> = vec![vec![1.0, 1.0], vec![2.0, 2.0]];
    let rows = vec![2, 2];
    let cols = vec![2, 2];

    let plan = BatchedSpMVPlan::from_host_arrays(&rp, &ci, &vals, &rows, &cols)
        .expect("plan creation should succeed");

    assert_eq!(plan.batch_size, 2);
    assert_eq!(plan.row_counts, vec![2, 2]);
    assert_eq!(plan.nnz_counts, vec![2, 2]);
    assert_eq!(plan.total_nnz(), 4);
    assert_eq!(plan.total_rows(), 4);
    assert_eq!(plan.avg_nnz(), 2);
    assert_eq!(plan.batch_offsets_row_ptr, vec![0, 3]);
    assert_eq!(plan.batch_offsets_nnz, vec![0, 2]);
    assert_eq!(plan.concat_row_ptr, vec![0, 1, 2, 0, 1, 2]);
    assert_eq!(plan.concat_col_idx, vec![0, 1, 0, 1]);
}

#[test]
fn plan_from_host_arrays_empty_batch() {
    let result = BatchedSpMVPlan::<f32>::from_host_arrays(&[], &[], &[], &[], &[]);
    assert!(result.is_err());
}

#[test]
fn plan_from_host_arrays_length_mismatch() {
    let rp = vec![vec![0, 1]];
    let ci = vec![vec![0], vec![1]]; // wrong length
    let vals: Vec<Vec<f64>> = vec![vec![1.0]];
    let result = BatchedSpMVPlan::from_host_arrays(&rp, &ci, &vals, &[1], &[1]);
    assert!(result.is_err());
}

// -- BatchedSpMV host execution tests -----------------------------------

#[test]
fn spmv_host_identity_batch() {
    // Two 3x3 identity matrices
    let rp = vec![vec![0, 1, 2, 3], vec![0, 1, 2, 3]];
    let ci = vec![vec![0, 1, 2], vec![0, 1, 2]];
    let vals = vec![vec![1.0_f64, 1.0, 1.0], vec![1.0, 1.0, 1.0]];
    let rows = vec![3, 3];
    let cols = vec![3, 3];

    let batch =
        BatchedSpMV::from_host(rp, ci, vals, rows, cols).expect("batch creation should succeed");
    assert_eq!(batch.batch_size(), 2);

    let xs = vec![vec![1.0, 2.0, 3.0], vec![4.0, 5.0, 6.0]];
    let mut ys = vec![vec![0.0; 3], vec![0.0; 3]];

    batch
        .execute(&xs, &mut ys, 1.0, 0.0)
        .expect("execute should succeed");

    assert_eq!(ys[0], vec![1.0, 2.0, 3.0]);
    assert_eq!(ys[1], vec![4.0, 5.0, 6.0]);
}

#[test]
fn spmv_host_alpha_beta() {
    // Single 2x2 matrix: [[2, 0], [0, 3]]
    let rp = vec![vec![0, 1, 2]];
    let ci = vec![vec![0, 1]];
    let vals = vec![vec![2.0_f32, 3.0]];
    let rows = vec![2];
    let cols = vec![2];

    let batch = BatchedSpMV::from_host(rp, ci, vals, rows, cols).expect("batch creation");

    let xs = vec![vec![1.0, 1.0]];
    let mut ys = vec![vec![10.0, 20.0]];

    // y = 2.0 * A*x + 0.5 * y
    // A*x = [2, 3]
    // y = [2*2 + 0.5*10, 2*3 + 0.5*20] = [9, 16]
    batch
        .execute(&xs, &mut ys, 2.0, 0.5)
        .expect("execute should succeed");

    assert!((ys[0][0] - 9.0).abs() < 1e-6);
    assert!((ys[0][1] - 16.0).abs() < 1e-6);
}

#[test]
fn spmv_host_dimension_mismatch() {
    let rp = vec![vec![0, 1]];
    let ci = vec![vec![0]];
    let vals = vec![vec![1.0_f32]];
    let rows = vec![1];
    let cols = vec![2];

    let batch = BatchedSpMV::from_host(rp, ci, vals, rows, cols).expect("batch creation");

    // Wrong number of vectors
    let xs = vec![vec![1.0; 2], vec![1.0; 2]];
    let mut ys = vec![vec![0.0], vec![0.0]];
    assert!(batch.execute(&xs, &mut ys, 1.0, 0.0).is_err());
}

#[test]
fn spmv_host_empty_batch_error() {
    let result = BatchedSpMV::<f64>::from_host(vec![], vec![], vec![], vec![], vec![]);
    assert!(result.is_err());
}

// -- UniformBatchedSpMV tests -------------------------------------------

#[test]
fn uniform_spmv_host_basic() {
    // Shared pattern: 2x2 diagonal
    let row_ptr = vec![0, 1, 2];
    let col_idx = vec![0, 1];
    let batch_values = vec![
        vec![1.0_f64, 1.0], // identity
        vec![2.0, 3.0],     // diag(2, 3)
    ];

    let uniform = UniformBatchedSpMV::from_host_arrays(2, 2, row_ptr, col_idx, batch_values)
        .expect("creation should succeed");
    assert_eq!(uniform.batch_size(), 2);

    let xs = vec![vec![1.0, 2.0], vec![1.0, 2.0]];
    let mut ys = vec![vec![0.0; 2], vec![0.0; 2]];

    uniform
        .execute(&xs, &mut ys, 1.0, 0.0)
        .expect("execute should succeed");

    assert_eq!(ys[0], vec![1.0, 2.0]); // I * [1,2]
    assert!((ys[1][0] - 2.0).abs() < 1e-10); // 2*1
    assert!((ys[1][1] - 6.0).abs() < 1e-10); // 3*2
}

#[test]
fn uniform_spmv_validation_errors() {
    // Empty batch_values
    let result =
        UniformBatchedSpMV::<f32>::from_host_arrays(2, 2, vec![0, 1, 2], vec![0, 1], vec![]);
    assert!(result.is_err());

    // Wrong values length
    let result = UniformBatchedSpMV::<f32>::from_host_arrays(
        2,
        2,
        vec![0, 1, 2],
        vec![0, 1],
        vec![vec![1.0]], // too short
    );
    assert!(result.is_err());

    // Wrong row_ptr length
    let result = UniformBatchedSpMV::<f32>::from_host_arrays(
        2,
        2,
        vec![0, 1], // too short
        vec![0, 1],
        vec![vec![1.0, 2.0]],
    );
    assert!(result.is_err());
}

// -- BatchedTriSolve tests (host) ---------------------------------------

#[test]
fn tri_solve_host_basic() {
    // L = [[2, 0], [1, 3]], b = [4, 7]
    // x[0] = 4/2 = 2
    // x[1] = (7 - 1*2)/3 = 5/3
    let rp = vec![vec![0, 1, 3]];
    let ci = vec![vec![0, 0, 1]];
    let vals = vec![vec![2.0_f64, 1.0, 3.0]];
    let sizes = vec![2];
    let rhs = vec![vec![4.0, 7.0]];

    let results =
        BatchedTriSolve::execute_host(&rp, &ci, &vals, &sizes, &rhs).expect("solve should succeed");

    assert_eq!(results.len(), 1);
    assert!((results[0][0] - 2.0).abs() < 1e-10);
    assert!((results[0][1] - 5.0 / 3.0).abs() < 1e-10);
}

#[test]
fn tri_solve_host_singular() {
    // L has zero on diagonal -> singular
    let rp = vec![vec![0, 1, 2]];
    let ci = vec![vec![0, 0]]; // row 1 has col 0 but no col 1 entry -> diag = 0
    let vals = vec![vec![1.0_f64, 2.0]];
    let sizes = vec![2];
    let rhs = vec![vec![1.0, 1.0]];

    let result = BatchedTriSolve::execute_host(&rp, &ci, &vals, &sizes, &rhs);
    assert!(result.is_err());
}

// -----------------------------------------------------------------------
// Task 5c: SpMV / SpMM numerical accuracy tests (host-side, CPU-only)
// -----------------------------------------------------------------------

// Helper: reference dense matrix-vector product y = A * x for a row-major
// matrix A stored as a flat slice with `cols` columns.
#[allow(dead_code)]
fn dense_matvec(a: &[f64], rows: usize, cols: usize, x: &[f64]) -> Vec<f64> {
    let mut y = vec![0.0_f64; rows];
    for r in 0..rows {
        for c in 0..cols {
            y[r] += a[r * cols + c] * x[c];
        }
    }
    y
}

// Helper: reference dense matrix-matrix product C = A * B, A is (m×k),
// B is (k×n), result C is (m×n), all stored row-major.
fn dense_matmul(a: &[f64], m: usize, k: usize, b: &[f64], n: usize) -> Vec<f64> {
    let mut c = vec![0.0_f64; m * n];
    for i in 0..m {
        for j in 0..n {
            let mut acc = 0.0_f64;
            for p in 0..k {
                acc += a[i * k + p] * b[p * n + j];
            }
            c[i * n + j] = acc;
        }
    }
    c
}

/// SpMV for a small 5×5 sparse matrix with known values.
///
/// Matrix (dense):
/// ```text
/// [[1, 0, 2, 0, 0],
///  [0, 3, 0, 0, 0],
///  [0, 0, 4, 0, 5],
///  [0, 0, 0, 6, 0],
///  [7, 0, 0, 0, 8]]
/// ```
/// x = [1, 2, 3, 4, 5]
/// Expected: [1+6, 6, 12+25, 24, 7+40] = [7, 6, 37, 24, 47]
#[test]
fn test_spmv_numerical_accuracy_small() {
    // CSR for the matrix above
    let row_ptr = vec![vec![0i32, 2, 3, 5, 6, 8]];
    let col_idx = vec![vec![0i32, 2, 1, 2, 4, 3, 0, 4]];
    let values = vec![vec![1.0_f64, 2.0, 3.0, 4.0, 5.0, 6.0, 7.0, 8.0]];
    let rows = vec![5usize];
    let cols = vec![5usize];

    let batch = BatchedSpMV::from_host(row_ptr, col_idx, values, rows, cols)
        .expect("batch creation should succeed");

    let x = vec![vec![1.0_f64, 2.0, 3.0, 4.0, 5.0]];
    let mut y = vec![vec![0.0_f64; 5]];

    batch
        .execute(&x, &mut y, 1.0, 0.0)
        .expect("execute should succeed");

    let expected = [7.0_f64, 6.0, 37.0, 24.0, 47.0];
    for (i, (&got, &exp)) in y[0].iter().zip(expected.iter()).enumerate() {
        assert!(
            (got - exp).abs() < 1e-14,
            "y[{i}]: expected {exp}, got {got}"
        );
    }
}

/// SpMV accuracy with large value spread (1e-6 to 1e6) — relative error < 1e-10.
#[test]
fn test_spmv_numerical_accuracy_value_spread() {
    // 4×4 diagonal with wildly varying values
    let big = 1e6_f64;
    let small = 1e-6_f64;
    // diag(1e-6, 1e6, 1e-6, 1e6)
    let row_ptr = vec![vec![0i32, 1, 2, 3, 4]];
    let col_idx = vec![vec![0i32, 1, 2, 3]];
    let values = vec![vec![small, big, small, big]];
    let rows = vec![4usize];
    let cols = vec![4usize];

    let batch =
        BatchedSpMV::from_host(row_ptr, col_idx, values, rows, cols).expect("batch creation");

    let x = vec![vec![1.0_f64, 1.0, 1.0, 1.0]];
    let mut y = vec![vec![0.0_f64; 4]];
    batch.execute(&x, &mut y, 1.0, 0.0).expect("execute");

    let expected = [small, big, small, big];
    for (i, (&got, &exp)) in y[0].iter().zip(expected.iter()).enumerate() {
        let rel_err = (got - exp).abs() / exp.abs().max(1e-300);
        assert!(
            rel_err < 1e-10,
            "y[{i}]: relative error {rel_err:.3e} exceeds threshold"
        );
    }
}

/// SpMV with alpha/beta scaling: y = alpha * A * x + beta * y.
#[test]
fn test_spmv_alpha_beta_scaling() {
    // A = [[2, 0], [0, 3]], x = [1, 1], y_init = [10, 20]
    // A*x = [2, 3]
    // y = 5 * [2, 3] + 0.25 * [10, 20] = [10+2.5, 15+5] = [12.5, 20]
    let row_ptr = vec![vec![0i32, 1, 2]];
    let col_idx = vec![vec![0i32, 1]];
    let values = vec![vec![2.0_f64, 3.0]];

    let batch =
        BatchedSpMV::from_host(row_ptr, col_idx, values, vec![2], vec![2]).expect("batch creation");

    let x = vec![vec![1.0_f64, 1.0]];
    let mut y = vec![vec![10.0_f64, 20.0]];
    batch.execute(&x, &mut y, 5.0, 0.25).expect("execute");

    assert!((y[0][0] - 12.5).abs() < 1e-13, "y[0] = {}", y[0][0]);
    assert!((y[0][1] - 20.0).abs() < 1e-13, "y[1] = {}", y[0][1]);
}

/// SpMV for identity matrix: I * x = x.
#[test]
fn test_spmv_identity_matrix() {
    let n = 6usize;
    let row_ptr = vec![(0..=(n as i32)).collect::<Vec<i32>>()];
    let col_idx = vec![(0..n as i32).collect::<Vec<i32>>()];
    let values = vec![vec![1.0_f64; n]];

    let batch =
        BatchedSpMV::from_host(row_ptr, col_idx, values, vec![n], vec![n]).expect("batch creation");

    let x_data: Vec<f64> = (1..=(n as i64)).map(|v| v as f64).collect();
    let x = vec![x_data.clone()];
    let mut y = vec![vec![0.0_f64; n]];
    batch.execute(&x, &mut y, 1.0, 0.0).expect("execute");

    for (i, (&got, &exp)) in y[0].iter().zip(x_data.iter()).enumerate() {
        assert!(
            (got - exp).abs() < 1e-14,
            "identity: y[{i}] = {got}, expected {exp}"
        );
    }
}

/// SpMM: A * B = C where B is a dense matrix (multiple right-hand sides).
///
/// Uses `BatchedSpMV::execute` once per column of B as a surrogate for SpMM.
/// A is 4×4, B is 4×3, C = A * B verified against dense reference.
#[test]
fn test_spmm_numerical_accuracy() {
    // A (4×4 sparse):
    // [[1, 0, 2, 0],
    //  [0, 3, 0, 4],
    //  [5, 0, 6, 0],
    //  [0, 7, 0, 8]]
    let a_dense = [
        1.0_f64, 0.0, 2.0, 0.0, 0.0, 3.0, 0.0, 4.0, 5.0, 0.0, 6.0, 0.0, 0.0, 7.0, 0.0, 8.0,
    ];

    let row_ptr = vec![0i32, 2, 4, 6, 8];
    let col_idx = vec![0i32, 2, 1, 3, 0, 2, 1, 3];
    let values = vec![1.0_f64, 2.0, 3.0, 4.0, 5.0, 6.0, 7.0, 8.0];

    // B (4×3):
    let b_dense = [
        1.0_f64, 0.0, 1.0, 0.0, 1.0, 2.0, 1.0, 0.0, 3.0, 0.0, 1.0, 4.0,
    ];

    // C_ref = dense_matmul(A, B) (4×3)
    let c_ref = dense_matmul(&a_dense, 4, 4, &b_dense, 3);

    // Compute each column of C using SpMV
    let n_cols = 3usize;
    let mut c_got = vec![0.0_f64; 4 * n_cols];

    for col in 0..n_cols {
        // Extract column `col` of B as a vector
        let x_col: Vec<f64> = (0..4).map(|r| b_dense[r * n_cols + col]).collect();

        let batch = BatchedSpMV::from_host(
            vec![row_ptr.clone()],
            vec![col_idx.clone()],
            vec![values.clone()],
            vec![4],
            vec![4],
        )
        .expect("batch creation");

        let mut y = vec![vec![0.0_f64; 4]];
        batch.execute(&[x_col], &mut y, 1.0, 0.0).expect("execute");

        for row in 0..4 {
            c_got[row * n_cols + col] = y[0][row];
        }
    }

    for i in 0..4 * n_cols {
        assert!(
            (c_got[i] - c_ref[i]).abs() < 1e-13,
            "C[{i}]: got {}, expected {}",
            c_got[i],
            c_ref[i]
        );
    }
}

// -- PTX generation test ------------------------------------------------

#[test]
fn ptx_generation_f32() {
    let ptx = generate_batched_spmv_ptx::<f32>();
    assert!(ptx.contains("batched_spmv_f32"));
    assert!(ptx.contains(".f32"));
    assert!(ptx.contains(".version"));
}

#[test]
fn ptx_generation_f64() {
    let ptx = generate_batched_spmv_ptx::<f64>();
    assert!(ptx.contains("batched_spmv_f64"));
    assert!(ptx.contains(".f64"));
}

#[test]
fn batched_spmv_ptx_contains_loop() {
    let ptx = generate_batched_spmv_ptx::<f32>();
    assert!(ptx.contains("ROW_LOOP"));
    assert!(ptx.contains("fma.rn"));
    assert!(ptx.contains("ld.global"));
}

// -- BatchedSpGEMM host test --------------------------------------------

#[test]
fn spgemm_host_identity_times_matrix() {
    // I * A = A for 2x2
    let i_rp = vec![vec![0, 1, 2]];
    let i_ci = vec![vec![0, 1]];
    let i_vals: Vec<Vec<f64>> = vec![vec![1.0, 1.0]];

    let a_rp = vec![vec![0, 2, 3]]; // row 0: cols 0,1; row 1: col 1
    let a_ci = vec![vec![0, 1, 1]];
    let a_vals: Vec<Vec<f64>> = vec![vec![2.0, 3.0, 4.0]];

    let results = BatchedSpGEMM::execute_host(
        &i_rp,
        &i_ci,
        &i_vals,
        &[2],
        &[2],
        &a_rp,
        &a_ci,
        &a_vals,
        &[2],
    )
    .expect("spgemm should succeed");

    assert_eq!(results.len(), 1);
    let (c_rp, c_ci, c_vals, m, n) = &results[0];
    assert_eq!(*m, 2);
    assert_eq!(*n, 2);
    // Row 0 of C should have entries at cols 0 and 1
    let r0_start = c_rp[0] as usize;
    let r0_end = c_rp[1] as usize;
    assert_eq!(r0_end - r0_start, 2);
    assert_eq!(c_ci[r0_start], 0);
    assert_eq!(c_ci[r0_start + 1], 1);
    assert!((c_vals[r0_start] - 2.0).abs() < 1e-10);
    assert!((c_vals[r0_start + 1] - 3.0).abs() < 1e-10);
}

// -- batched_spmv_cpu tests ------------------------------------------------

#[test]
fn batched_spmv_identity_2rhs() {
    // 4x4 identity matrix
    let n_rows = 4usize;
    let n_cols = 4usize;
    let row_ptr = vec![0u32, 1, 2, 3, 4];
    let col_idx = vec![0u32, 1, 2, 3];
    let values = vec![1.0f32; 4];

    // X = [[1,5], [2,6], [3,7], [4,8]] column-major:
    // x_batch[col * batch_size + b]:
    //   col=0: b=0 -> 1, b=1 -> 5
    //   col=1: b=0 -> 2, b=1 -> 6
    //   col=2: b=0 -> 3, b=1 -> 7
    //   col=3: b=0 -> 4, b=1 -> 8
    let batch_size = 2usize;
    let x_batch = vec![1.0f32, 5.0, 2.0, 6.0, 3.0, 7.0, 4.0, 8.0];

    let y = batched_spmv_cpu(
        n_rows, n_cols, &row_ptr, &col_idx, &values, &x_batch, batch_size,
    );

    // y[row * batch_size + b] = x[row, b] since A is identity
    // row=0, b=0 -> 1; row=0, b=1 -> 5
    // row=1, b=0 -> 2; row=1, b=1 -> 6
    // row=2, b=0 -> 3; row=2, b=1 -> 7
    // row=3, b=0 -> 4; row=3, b=1 -> 8
    assert_eq!(y.len(), n_rows * batch_size);
    assert!((y[0] - 1.0).abs() < 1e-6, "row=0, b=0 should be 1.0");
    assert!((y[1] - 5.0).abs() < 1e-6, "row=0, b=1 should be 5.0");
    assert!((y[2] - 2.0).abs() < 1e-6, "row=1, b=0 should be 2.0");
    assert!((y[3] - 6.0).abs() < 1e-6, "row=1, b=1 should be 6.0");
    assert!((y[4] - 3.0).abs() < 1e-6, "row=2, b=0 should be 3.0");
    assert!((y[5] - 7.0).abs() < 1e-6, "row=2, b=1 should be 7.0");
    assert!((y[6] - 4.0).abs() < 1e-6, "row=3, b=0 should be 4.0");
    assert!((y[7] - 8.0).abs() < 1e-6, "row=3, b=1 should be 8.0");
}

#[test]
fn batched_spmv_correctness_3rhs() {
    // 3x3 matrix A:
    //  [2 1 0]
    //  [0 3 1]
    //  [1 0 4]
    // row_ptr = [0, 2, 4, 6]
    // col_idx = [0, 1, 1, 2, 0, 2]
    // values  = [2, 1, 3, 1, 1, 4]
    let n_rows = 3usize;
    let n_cols = 3usize;
    let row_ptr = vec![0u32, 2, 4, 6];
    let col_idx = vec![0u32, 1, 1, 2, 0, 2];
    let values = vec![2.0f32, 1.0, 3.0, 1.0, 1.0, 4.0];
    let batch_size = 3usize;

    // 3 RHS column-major: x[:,0]=[1,0,0], x[:,1]=[0,1,0], x[:,2]=[0,0,1]
    // i.e., x_batch[col*3+b]: col=0: [1,0,0], col=1: [0,1,0], col=2: [0,0,1]
    let x_batch = vec![
        1.0f32, 0.0, 0.0, // col 0
        0.0, 1.0, 0.0, // col 1
        0.0, 0.0, 1.0, // col 2
    ];

    let y = batched_spmv_cpu(
        n_rows, n_cols, &row_ptr, &col_idx, &values, &x_batch, batch_size,
    );

    // A * [1,0,0] = [2,0,1]  => y[row*3+0]
    // A * [0,1,0] = [1,3,0]  => y[row*3+1]
    // A * [0,0,1] = [0,1,4]  => y[row*3+2]
    assert!((y[0] - 2.0).abs() < 1e-6, "A*e0 row0 = 2");
    assert!((y[1] - 1.0).abs() < 1e-6, "A*e1 row0 = 1");
    assert!((y[2] - 0.0).abs() < 1e-6, "A*e2 row0 = 0");
    assert!((y[3] - 0.0).abs() < 1e-6, "A*e0 row1 = 0");
    assert!((y[4] - 3.0).abs() < 1e-6, "A*e1 row1 = 3");
    assert!((y[5] - 1.0).abs() < 1e-6, "A*e2 row1 = 1");
    assert!((y[6] - 1.0).abs() < 1e-6, "A*e0 row2 = 1");
    assert!((y[7] - 0.0).abs() < 1e-6, "A*e1 row2 = 0");
    assert!((y[8] - 4.0).abs() < 1e-6, "A*e2 row2 = 4");
}

// -- mixed_precision_spmv_cpu tests ----------------------------------------

#[test]
fn mixed_precision_spmv_correctness() {
    // 4x4 identity matrix, x=[1,2,3,4] => y=[1,2,3,4]
    let n_rows = 4usize;
    let row_ptr = vec![0u32, 1, 2, 3, 4];
    let col_idx = vec![0u32, 1, 2, 3];
    let values_fp16 = vec![1.0f32; 4];
    let x = vec![1.0f32, 2.0, 3.0, 4.0];

    let y = mixed_precision_spmv_cpu(n_rows, &row_ptr, &col_idx, &values_fp16, &x);

    assert_eq!(y.len(), n_rows);
    for (i, &yi) in y.iter().enumerate() {
        assert!(
            (yi - (i + 1) as f32).abs() < 1e-4,
            "y[{}] should be {} but got {}",
            i,
            i + 1,
            yi
        );
    }
}

#[test]
fn mixed_precision_accumulation_fp32() {
    // Large sum: 1000-row diagonal, all values=1.0, x=[1.0; 1000]
    // Each y[i] = 1.0, which is finite and representable in f32
    let n_rows = 1000usize;
    let row_ptr: Vec<u32> = (0..=1000).map(|i| i as u32).collect();
    let col_idx: Vec<u32> = (0..1000).map(|i| i as u32).collect();
    let values_fp16 = vec![1.0f32; 1000];
    let x = vec![1.0f32; 1000];

    let y = mixed_precision_spmv_cpu(n_rows, &row_ptr, &col_idx, &values_fp16, &x);

    assert_eq!(y.len(), n_rows);
    // All results should be finite (the accumulation via f64 avoids overflow)
    for (i, &yi) in y.iter().enumerate() {
        assert!(yi.is_finite(), "y[{}] = {} is not finite", i, yi);
        assert!(
            (yi - 1.0).abs() < 1e-4,
            "y[{}] should be 1.0, got {}",
            i,
            yi
        );
    }
}

// ---------------------------------------------------------------------------
// Hand-written batched SpMV PTX: ptxas pre-screen (host-only)
// ---------------------------------------------------------------------------

/// The hand-written `batched_spmv_{type}` PTX must assemble cleanly for sm_86
/// in both precisions (it is `.target sm_70`, which ptxas accepts under a
/// higher `-arch`). This guards the hand-rolled string kernel against the same
/// PTX-level defects the builder-based kernels are screened for.
#[test]
fn batched_spmv_ptx_assembles_sm86() {
    use crate::ptx_helpers::test_support::assert_assembles_and_clean;
    assert_assembles_and_clean("batched_spmv_f32", &generate_batched_spmv_ptx::<f32>());
    assert_assembles_and_clean("batched_spmv_f64", &generate_batched_spmv_ptx::<f64>());
}

// ---------------------------------------------------------------------------
// On-device numeric validation of the hand-written batched SpMV kernel
// (feature = "gpu-tests").
//
// NOTE: `generate_batched_spmv_ptx` has no production launch wrapper in this
// crate -- the public `BatchedSpMV::execute` runs the CPU baseline instead --
// so this test assembles the kernel arrays and launches the kernel directly,
// then checks the device result against an independent CPU oracle.
// ---------------------------------------------------------------------------

#[cfg(feature = "gpu-tests")]
mod gpu_device_tests {
    use super::*;
    use crate::gpu_test_support::{assert_close, gpu_handle};
    use crate::host_csr::{f64_to_gpu, gpu_to_f64};
    use oxicuda_driver::Module;
    use oxicuda_launch::{Kernel, LaunchParams};
    use oxicuda_memory::DeviceBuffer;
    use std::sync::Arc;

    /// One matrix in the batch (host CSR, f64 values, u32 index arrays).
    struct HostMat {
        rows: usize,
        row_ptr: Vec<u32>,
        col_idx: Vec<u32>,
        values: Vec<f64>,
    }

    fn cpu_spmv(m: &HostMat, x: &[f64], y0: &[f64], alpha: f64, beta: f64) -> Vec<f64> {
        (0..m.rows)
            .map(|r| {
                let mut acc = 0.0_f64;
                for k in m.row_ptr[r] as usize..m.row_ptr[r + 1] as usize {
                    acc += m.values[k] * x[m.col_idx[k] as usize];
                }
                alpha * acc + beta * y0[r]
            })
            .collect()
    }

    /// Assemble the batch buffers, launch the hand-written kernel directly, and
    /// compare each matrix's output to the CPU oracle.
    fn run_batched<T: GpuFloat>(
        mats: &[HostMat],
        xs: &[Vec<f64>],
        y0s: &[Vec<f64>],
        alpha: f64,
        beta: f64,
        tol: f64,
        tag: &str,
    ) {
        let Some(handle) = gpu_handle() else {
            return;
        };
        let batch = mats.len();

        let mut concat_rp: Vec<u32> = Vec::new();
        let mut concat_ci: Vec<u32> = Vec::new();
        let mut concat_vals: Vec<T> = Vec::new();
        let mut off_rp: Vec<u32> = Vec::new();
        let mut off_nnz: Vec<u32> = Vec::new();
        let mut row_counts: Vec<u32> = Vec::new();
        for m in mats {
            off_rp.push(concat_rp.len() as u32);
            off_nnz.push(concat_ci.len() as u32);
            row_counts.push(m.rows as u32);
            concat_rp.extend_from_slice(&m.row_ptr);
            concat_ci.extend_from_slice(&m.col_idx);
            concat_vals.extend(m.values.iter().map(|&v| f64_to_gpu::<T>(v)));
        }

        let d_concat_rp = DeviceBuffer::from_host(&concat_rp).expect("test: upload row_ptr");
        let d_concat_ci = DeviceBuffer::from_host(&concat_ci).expect("test: upload col_idx");
        let d_concat_vals = DeviceBuffer::from_host(&concat_vals).expect("test: upload values");
        let d_off_rp = DeviceBuffer::from_host(&off_rp).expect("test: upload rp offsets");
        let d_off_nnz = DeviceBuffer::from_host(&off_nnz).expect("test: upload nnz offsets");
        let d_row_counts = DeviceBuffer::from_host(&row_counts).expect("test: upload row_counts");

        let mut x_bufs: Vec<DeviceBuffer<T>> = Vec::new();
        let mut y_bufs: Vec<DeviceBuffer<T>> = Vec::new();
        for i in 0..batch {
            let xt: Vec<T> = xs[i].iter().map(|&v| f64_to_gpu::<T>(v)).collect();
            let yt: Vec<T> = y0s[i].iter().map(|&v| f64_to_gpu::<T>(v)).collect();
            x_bufs.push(DeviceBuffer::from_host(&xt).expect("test: upload x"));
            y_bufs.push(DeviceBuffer::from_host(&yt).expect("test: upload y"));
        }
        let x_ptrs: Vec<u64> = x_bufs.iter().map(|b| b.as_device_ptr()).collect();
        let y_ptrs: Vec<u64> = y_bufs.iter().map(|b| b.as_device_ptr()).collect();
        let d_x_ptrs = DeviceBuffer::from_host(&x_ptrs).expect("test: upload x ptrs");
        let d_y_ptrs = DeviceBuffer::from_host(&y_ptrs).expect("test: upload y ptrs");

        let ptx = generate_batched_spmv_ptx::<T>();
        let module = Arc::new(Module::from_ptx(&ptx).expect("test: load batched module"));
        let kname = format!("batched_spmv_{}", T::NAME);
        let kernel = Kernel::from_module(module, &kname).expect("test: get batched kernel");

        let max_rows = mats.iter().map(|m| m.rows).max().unwrap_or(1).max(1) as u32;
        let params = LaunchParams::new(batch as u32, max_rows);

        kernel
            .launch(
                &params,
                handle.stream(),
                &(
                    d_concat_rp.as_device_ptr(),
                    d_concat_ci.as_device_ptr(),
                    d_concat_vals.as_device_ptr(),
                    d_off_rp.as_device_ptr(),
                    d_off_nnz.as_device_ptr(),
                    d_row_counts.as_device_ptr(),
                    d_x_ptrs.as_device_ptr(),
                    d_y_ptrs.as_device_ptr(),
                    f64_to_gpu::<T>(alpha),
                    f64_to_gpu::<T>(beta),
                    batch as u32,
                ),
            )
            .expect("test: batched launch");
        handle.stream().synchronize().expect("test: sync");

        for i in 0..batch {
            let mut out = vec![T::gpu_zero(); mats[i].rows];
            y_bufs[i].copy_to_host(&mut out).expect("test: download y");
            let got: Vec<f64> = out.iter().map(|&v| gpu_to_f64(v)).collect();
            let want = cpu_spmv(&mats[i], &xs[i], &y0s[i], alpha, beta);
            assert_close(&got, &want, tol, &format!("{tag}[mat{i}]"));
        }
    }

    /// Two matrices of differing shape (3x3 and 2x2) with distinct values.
    fn sample_batch() -> (Vec<HostMat>, Vec<Vec<f64>>, Vec<Vec<f64>>) {
        let m0 = HostMat {
            rows: 3,
            row_ptr: vec![0, 2, 3, 5],
            col_idx: vec![0, 1, 1, 0, 2],
            values: vec![2.0, 1.0, 3.0, 1.0, 4.0],
        };
        let m1 = HostMat {
            rows: 2,
            row_ptr: vec![0, 2, 3],
            col_idx: vec![0, 1, 1],
            values: vec![5.0, 6.0, 7.0],
        };
        let xs = vec![vec![1.0, 2.0, 3.0], vec![10.0, 20.0]];
        let y0s = vec![vec![100.0, 200.0, 300.0], vec![-1.0, -2.0]];
        (vec![m0, m1], xs, y0s)
    }

    #[test]
    fn batched_spmv_f64_alpha_beta() {
        let (mats, xs, y0s) = sample_batch();
        run_batched::<f64>(&mats, &xs, &y0s, 1.5, -0.5, 1e-10, "batched_f64");
    }

    #[test]
    fn batched_spmv_f32_alpha_beta() {
        let (mats, xs, y0s) = sample_batch();
        run_batched::<f32>(&mats, &xs, &y0s, 2.0, 0.25, 1e-4, "batched_f32");
    }

    #[test]
    fn batched_spmv_f64_beta_zero() {
        let (mats, xs, y0s) = sample_batch();
        run_batched::<f64>(&mats, &xs, &y0s, 1.0, 0.0, 1e-10, "batched_beta0");
    }
}