ailake-vec 0.1.0

Vector quantization (F32/F16/I8/PQ) and SIMD distance kernels for AI-Lake
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
925
926
// SPDX-License-Identifier: MIT OR Apache-2.0
use ailake_core::{Centroid, VectorMetric};
use half::f16;

// ── Public API ────────────────────────────────────────────────────────────────

pub fn dot_product(a: &[f32], b: &[f32]) -> f32 {
    debug_assert_eq!(
        a.len(),
        b.len(),
        "dot_product: dimension mismatch {} vs {}",
        a.len(),
        b.len()
    );
    #[cfg(target_arch = "x86_64")]
    {
        #[cfg(feature = "avx512")]
        if is_x86_feature_detected!("avx512f") {
            return unsafe { avx512::dot(a, b) };
        }
        if is_x86_feature_detected!("avx2") {
            return unsafe { avx2::dot(a, b) };
        }
    }
    #[cfg(target_arch = "aarch64")]
    if std::arch::is_aarch64_feature_detected!("neon") {
        return unsafe { neon_impl::dot(a, b) };
    }
    dot_scalar(a, b)
}

pub fn euclidean_distance(a: &[f32], b: &[f32]) -> f32 {
    debug_assert_eq!(
        a.len(),
        b.len(),
        "euclidean_distance: dimension mismatch {} vs {}",
        a.len(),
        b.len()
    );
    #[cfg(target_arch = "x86_64")]
    {
        #[cfg(feature = "avx512")]
        if is_x86_feature_detected!("avx512f") {
            return unsafe { avx512::euclidean(a, b) };
        }
        if is_x86_feature_detected!("avx2") {
            return unsafe { avx2::euclidean(a, b) };
        }
    }
    #[cfg(target_arch = "aarch64")]
    if std::arch::is_aarch64_feature_detected!("neon") {
        return unsafe { neon_impl::euclidean(a, b) };
    }
    euclidean_scalar(a, b)
}

pub fn cosine_distance(a: &[f32], b: &[f32]) -> f32 {
    debug_assert_eq!(
        a.len(),
        b.len(),
        "cosine_distance: dimension mismatch {} vs {}",
        a.len(),
        b.len()
    );
    #[cfg(target_arch = "x86_64")]
    {
        #[cfg(feature = "avx512")]
        if is_x86_feature_detected!("avx512f") {
            return unsafe { avx512::cosine(a, b) };
        }
        if is_x86_feature_detected!("avx2") {
            return unsafe { avx2::cosine(a, b) };
        }
    }
    #[cfg(target_arch = "aarch64")]
    if std::arch::is_aarch64_feature_detected!("neon") {
        return unsafe { neon_impl::cosine(a, b) };
    }
    cosine_scalar(a, b)
}

pub fn exact_distance(metric: VectorMetric, a: &[f32], b: &[f32]) -> f32 {
    match metric {
        VectorMetric::Cosine => cosine_distance(a, b),
        VectorMetric::Euclidean => euclidean_distance(a, b),
        VectorMetric::DotProduct => -dot_product(a, b),
        VectorMetric::NormalizedCosine => normalized_cosine_distance(a, b),
    }
}

// ── F16 distance functions ────────────────────────────────────────────────────
//
// Query `a` stays F32 (one vector, lives in registers).
// Database vector `b` is F16 (dequantized inline — no allocation).
//
// Fast path: F16C converts 8 F16 values to F32 in one instruction via
// _mm256_cvtph_ps, then FMA accumulates. Eliminates scalar half::to_f32()
// loop that dominates HNSW graph traversal on dim=128 vectors.

pub fn cosine_distance_f16(a: &[f32], b: &[f16]) -> f32 {
    debug_assert_eq!(
        a.len(),
        b.len(),
        "cosine_distance_f16: dimension mismatch {} vs {}",
        a.len(),
        b.len()
    );
    #[cfg(target_arch = "x86_64")]
    {
        #[cfg(feature = "avx512")]
        if is_x86_feature_detected!("avx512f") && is_x86_feature_detected!("f16c") {
            return unsafe { avx512::cosine_f16(a, b) };
        }
        if is_x86_feature_detected!("avx2") && is_x86_feature_detected!("f16c") {
            return unsafe { avx2_f16c::cosine(a, b) };
        }
    }
    cosine_f16_scalar(a, b)
}

pub fn euclidean_distance_f16(a: &[f32], b: &[f16]) -> f32 {
    debug_assert_eq!(
        a.len(),
        b.len(),
        "euclidean_distance_f16: dimension mismatch {} vs {}",
        a.len(),
        b.len()
    );
    #[cfg(target_arch = "x86_64")]
    {
        #[cfg(feature = "avx512")]
        if is_x86_feature_detected!("avx512f") && is_x86_feature_detected!("f16c") {
            return unsafe { avx512::euclidean_f16(a, b) };
        }
        if is_x86_feature_detected!("avx2") && is_x86_feature_detected!("f16c") {
            return unsafe { avx2_f16c::euclidean(a, b) };
        }
    }
    euclidean_f16_scalar(a, b)
}

pub fn dot_product_f16(a: &[f32], b: &[f16]) -> f32 {
    debug_assert_eq!(
        a.len(),
        b.len(),
        "dot_product_f16: dimension mismatch {} vs {}",
        a.len(),
        b.len()
    );
    #[cfg(target_arch = "x86_64")]
    {
        #[cfg(feature = "avx512")]
        if is_x86_feature_detected!("avx512f") && is_x86_feature_detected!("f16c") {
            return unsafe { avx512::dot_f16(a, b) };
        }
        if is_x86_feature_detected!("avx2") && is_x86_feature_detected!("f16c") {
            return unsafe { avx2_f16c::dot(a, b) };
        }
    }
    dot_f16_scalar(a, b)
}

/// Normalize a vector to unit L2 length. Returns a zero vector unchanged.
pub fn normalize_l2(v: &[f32]) -> Vec<f32> {
    let norm_sq: f32 = v.iter().map(|x| x * x).sum();
    if norm_sq < 1e-12 {
        return v.to_vec();
    }
    let inv = 1.0 / norm_sq.sqrt();
    v.iter().map(|x| x * inv).collect()
}

/// 1 - dot(a, b) for pre-normalized unit vectors — no sqrt, no norm computation.
/// Equivalent to cosine distance but ~2× faster in the HNSW hot loop.
pub fn normalized_cosine_distance(a: &[f32], b: &[f32]) -> f32 {
    1.0 - dot_product(a, b)
}

pub fn normalized_cosine_distance_f16(a: &[f32], b: &[f16]) -> f32 {
    1.0 - dot_product_f16(a, b)
}

pub fn compute_centroid_and_radius(vectors: &[Vec<f32>], metric: VectorMetric) -> Centroid {
    if vectors.is_empty() {
        return Centroid {
            values: vec![],
            radius: 0.0,
            metric,
        };
    }
    let dim = vectors[0].len();
    let n = vectors.len() as f32;
    let centroid: Vec<f32> = (0..dim)
        .map(|i| vectors.iter().map(|v| v[i]).sum::<f32>() / n)
        .collect();
    let radius = vectors
        .iter()
        .map(|v| exact_distance(metric, &centroid, v))
        .fold(0.0_f32, f32::max);
    Centroid {
        values: centroid,
        radius,
        metric,
    }
}

// ── Scalar fallbacks ──────────────────────────────────────────────────────────

#[inline(always)]
fn dot_scalar(a: &[f32], b: &[f32]) -> f32 {
    a.iter().zip(b.iter()).map(|(x, y)| x * y).sum()
}

#[inline(always)]
fn euclidean_scalar(a: &[f32], b: &[f32]) -> f32 {
    a.iter()
        .zip(b.iter())
        .map(|(x, y)| (x - y) * (x - y))
        .sum::<f32>()
        .sqrt()
}

#[inline(always)]
fn cosine_scalar(a: &[f32], b: &[f32]) -> f32 {
    let dot: f32 = a.iter().zip(b.iter()).map(|(x, y)| x * y).sum();
    let na: f32 = a.iter().map(|x| x * x).sum::<f32>().sqrt();
    let nb: f32 = b.iter().map(|x| x * x).sum::<f32>().sqrt();
    if na == 0.0 || nb == 0.0 {
        return 1.0;
    }
    1.0 - dot / (na * nb)
}

#[inline(always)]
fn cosine_f16_scalar(a: &[f32], b: &[f16]) -> f32 {
    let n = a.len().min(b.len());
    let mut dot = 0.0f32;
    let mut norm_a = 0.0f32;
    let mut norm_b = 0.0f32;
    for i in 0..n {
        let ai = a[i];
        let bi = b[i].to_f32();
        dot += ai * bi;
        norm_a += ai * ai;
        norm_b += bi * bi;
    }
    let denom = (norm_a * norm_b).sqrt();
    if denom < 1e-8 {
        1.0
    } else {
        1.0 - dot / denom
    }
}

#[inline(always)]
fn euclidean_f16_scalar(a: &[f32], b: &[f16]) -> f32 {
    let n = a.len().min(b.len());
    let mut sum = 0.0f32;
    for i in 0..n {
        let diff = a[i] - b[i].to_f32();
        sum += diff * diff;
    }
    sum.sqrt()
}

#[inline(always)]
fn dot_f16_scalar(a: &[f32], b: &[f16]) -> f32 {
    let n = a.len().min(b.len());
    let mut acc = 0.0f32;
    for i in 0..n {
        acc += a[i] * b[i].to_f32();
    }
    acc
}

// ── x86_64 AVX2 + FMA ────────────────────────────────────────────────────────
//
// Compiled with target_feature = "avx2,fma". The compiler emits vfmadd231ps
// instead of separate vmulps + vaddps, cutting inner-loop instruction count
// by ~33% and reducing latency via fused operations.

#[cfg(target_arch = "x86_64")]
mod avx2 {
    use std::arch::x86_64::*;

    #[inline(always)]
    pub unsafe fn hsum256(v: __m256) -> f32 {
        let hi = _mm256_extractf128_ps(v, 1);
        let lo = _mm256_castps256_ps128(v);
        let s = _mm_add_ps(lo, hi);
        let shuf = _mm_movehdup_ps(s);
        let sums = _mm_add_ps(s, shuf);
        let shuf = _mm_movehl_ps(shuf, sums);
        _mm_cvtss_f32(_mm_add_ss(sums, shuf))
    }

    /// dot(a, b) — AVX2+FMA, 2× unrolled (16 f32/iter).
    #[target_feature(enable = "avx2,fma")]
    pub unsafe fn dot(a: &[f32], b: &[f32]) -> f32 {
        let n = a.len().min(b.len());
        let ap = a.as_ptr();
        let bp = b.as_ptr();

        let mut acc0 = _mm256_setzero_ps();
        let mut acc1 = _mm256_setzero_ps();

        let chunks16 = n / 16;
        for i in 0..chunks16 {
            let base = i * 16;
            let a0 = _mm256_loadu_ps(ap.add(base));
            let b0 = _mm256_loadu_ps(bp.add(base));
            let a1 = _mm256_loadu_ps(ap.add(base + 8));
            let b1 = _mm256_loadu_ps(bp.add(base + 8));
            acc0 = _mm256_fmadd_ps(a0, b0, acc0);
            acc1 = _mm256_fmadd_ps(a1, b1, acc1);
        }

        let chunks8 = n / 8;
        if chunks8 > chunks16 * 2 {
            let base = chunks16 * 16;
            let a0 = _mm256_loadu_ps(ap.add(base));
            let b0 = _mm256_loadu_ps(bp.add(base));
            acc0 = _mm256_fmadd_ps(a0, b0, acc0);
        }

        let mut sum = hsum256(_mm256_add_ps(acc0, acc1));
        for i in (chunks8 * 8)..n {
            sum += *ap.add(i) * *bp.add(i);
        }
        sum
    }

    /// ||a - b||² — AVX2+FMA, 2× unrolled.
    #[target_feature(enable = "avx2,fma")]
    pub unsafe fn euclidean(a: &[f32], b: &[f32]) -> f32 {
        let n = a.len().min(b.len());
        let ap = a.as_ptr();
        let bp = b.as_ptr();

        let mut acc0 = _mm256_setzero_ps();
        let mut acc1 = _mm256_setzero_ps();

        let chunks16 = n / 16;
        for i in 0..chunks16 {
            let base = i * 16;
            let d0 = _mm256_sub_ps(_mm256_loadu_ps(ap.add(base)), _mm256_loadu_ps(bp.add(base)));
            let d1 = _mm256_sub_ps(
                _mm256_loadu_ps(ap.add(base + 8)),
                _mm256_loadu_ps(bp.add(base + 8)),
            );
            acc0 = _mm256_fmadd_ps(d0, d0, acc0);
            acc1 = _mm256_fmadd_ps(d1, d1, acc1);
        }

        let chunks8 = n / 8;
        if chunks8 > chunks16 * 2 {
            let base = chunks16 * 16;
            let d0 = _mm256_sub_ps(_mm256_loadu_ps(ap.add(base)), _mm256_loadu_ps(bp.add(base)));
            acc0 = _mm256_fmadd_ps(d0, d0, acc0);
        }

        let mut sum = hsum256(_mm256_add_ps(acc0, acc1));
        for i in (chunks8 * 8)..n {
            let d = *ap.add(i) - *bp.add(i);
            sum += d * d;
        }
        sum.sqrt()
    }

    /// 1 - cos(a, b) — AVX2+FMA, single pass for dot + norms².
    #[target_feature(enable = "avx2,fma")]
    pub unsafe fn cosine(a: &[f32], b: &[f32]) -> f32 {
        let n = a.len().min(b.len());
        let ap = a.as_ptr();
        let bp = b.as_ptr();

        let mut dot_acc = _mm256_setzero_ps();
        let mut na_acc = _mm256_setzero_ps();
        let mut nb_acc = _mm256_setzero_ps();

        let chunks8 = n / 8;
        for i in 0..chunks8 {
            let base = i * 8;
            let av = _mm256_loadu_ps(ap.add(base));
            let bv = _mm256_loadu_ps(bp.add(base));
            dot_acc = _mm256_fmadd_ps(av, bv, dot_acc);
            na_acc = _mm256_fmadd_ps(av, av, na_acc);
            nb_acc = _mm256_fmadd_ps(bv, bv, nb_acc);
        }

        let mut dot = hsum256(dot_acc);
        let mut na2 = hsum256(na_acc);
        let mut nb2 = hsum256(nb_acc);

        for i in (chunks8 * 8)..n {
            let ai = *ap.add(i);
            let bi = *bp.add(i);
            dot += ai * bi;
            na2 += ai * ai;
            nb2 += bi * bi;
        }

        let na = na2.sqrt();
        let nb = nb2.sqrt();
        if na == 0.0 || nb == 0.0 {
            return 1.0;
        }
        1.0 - dot / (na * nb)
    }
}

// ── x86_64 AVX2 + F16C — F16 hot path ────────────────────────────────────────
//
// _mm256_cvtph_ps converts 8 packed F16 (as __m128i) to 8 F32 in one cycle.
// Combined with FMA, this replaces 8 scalar half::to_f32() calls per iteration.
// Critical hot path: every HNSW edge traversal calls one of these functions.

#[cfg(target_arch = "x86_64")]
mod avx2_f16c {
    use half::f16;
    use std::arch::x86_64::*;

    use super::avx2::hsum256;

    /// dot(a_f32, b_f16) — AVX2+F16C+FMA, 16 F16/iter.
    #[target_feature(enable = "avx2,f16c,fma")]
    pub unsafe fn dot(a: &[f32], b: &[f16]) -> f32 {
        let n = a.len().min(b.len());
        let ap = a.as_ptr();
        let bp = b.as_ptr() as *const u16;

        let mut acc0 = _mm256_setzero_ps();
        let mut acc1 = _mm256_setzero_ps();

        let chunks16 = n / 16;
        for i in 0..chunks16 {
            let base = i * 16;
            let b0 = _mm256_cvtph_ps(_mm_loadu_si128(bp.add(base) as *const __m128i));
            let b1 = _mm256_cvtph_ps(_mm_loadu_si128(bp.add(base + 8) as *const __m128i));
            let a0 = _mm256_loadu_ps(ap.add(base));
            let a1 = _mm256_loadu_ps(ap.add(base + 8));
            acc0 = _mm256_fmadd_ps(a0, b0, acc0);
            acc1 = _mm256_fmadd_ps(a1, b1, acc1);
        }

        let chunks8 = n / 8;
        if chunks8 > chunks16 * 2 {
            let base = chunks16 * 16;
            let b0 = _mm256_cvtph_ps(_mm_loadu_si128(bp.add(base) as *const __m128i));
            let a0 = _mm256_loadu_ps(ap.add(base));
            acc0 = _mm256_fmadd_ps(a0, b0, acc0);
        }

        let mut sum = hsum256(_mm256_add_ps(acc0, acc1));
        for i in (chunks8 * 8)..n {
            sum += *ap.add(i) * f16::from_bits(*bp.add(i)).to_f32();
        }
        sum
    }

    /// ||a_f32 - b_f16||² — AVX2+F16C+FMA, 16 F16/iter.
    #[target_feature(enable = "avx2,f16c,fma")]
    pub unsafe fn euclidean(a: &[f32], b: &[f16]) -> f32 {
        let n = a.len().min(b.len());
        let ap = a.as_ptr();
        let bp = b.as_ptr() as *const u16;

        let mut acc0 = _mm256_setzero_ps();
        let mut acc1 = _mm256_setzero_ps();

        let chunks16 = n / 16;
        for i in 0..chunks16 {
            let base = i * 16;
            let b0 = _mm256_cvtph_ps(_mm_loadu_si128(bp.add(base) as *const __m128i));
            let b1 = _mm256_cvtph_ps(_mm_loadu_si128(bp.add(base + 8) as *const __m128i));
            let d0 = _mm256_sub_ps(_mm256_loadu_ps(ap.add(base)), b0);
            let d1 = _mm256_sub_ps(_mm256_loadu_ps(ap.add(base + 8)), b1);
            acc0 = _mm256_fmadd_ps(d0, d0, acc0);
            acc1 = _mm256_fmadd_ps(d1, d1, acc1);
        }

        let chunks8 = n / 8;
        if chunks8 > chunks16 * 2 {
            let base = chunks16 * 16;
            let b0 = _mm256_cvtph_ps(_mm_loadu_si128(bp.add(base) as *const __m128i));
            let d0 = _mm256_sub_ps(_mm256_loadu_ps(ap.add(base)), b0);
            acc0 = _mm256_fmadd_ps(d0, d0, acc0);
        }

        let mut sum = hsum256(_mm256_add_ps(acc0, acc1));
        for i in (chunks8 * 8)..n {
            let diff = *ap.add(i) - f16::from_bits(*bp.add(i)).to_f32();
            sum += diff * diff;
        }
        sum.sqrt()
    }

    /// 1 - cos(a_f32, b_f16) — AVX2+F16C+FMA, single pass.
    #[target_feature(enable = "avx2,f16c,fma")]
    pub unsafe fn cosine(a: &[f32], b: &[f16]) -> f32 {
        let n = a.len().min(b.len());
        let ap = a.as_ptr();
        let bp = b.as_ptr() as *const u16;

        let mut dot_acc = _mm256_setzero_ps();
        let mut na_acc = _mm256_setzero_ps();
        let mut nb_acc = _mm256_setzero_ps();

        let chunks8 = n / 8;
        for i in 0..chunks8 {
            let base = i * 8;
            let av = _mm256_loadu_ps(ap.add(base));
            let bv = _mm256_cvtph_ps(_mm_loadu_si128(bp.add(base) as *const __m128i));
            dot_acc = _mm256_fmadd_ps(av, bv, dot_acc);
            na_acc = _mm256_fmadd_ps(av, av, na_acc);
            nb_acc = _mm256_fmadd_ps(bv, bv, nb_acc);
        }

        let mut dot = hsum256(dot_acc);
        let mut na2 = hsum256(na_acc);
        let mut nb2 = hsum256(nb_acc);

        for i in (chunks8 * 8)..n {
            let ai = *ap.add(i);
            let bi = f16::from_bits(*bp.add(i)).to_f32();
            dot += ai * bi;
            na2 += ai * ai;
            nb2 += bi * bi;
        }

        let denom = (na2 * nb2).sqrt();
        if denom < 1e-8 {
            1.0
        } else {
            1.0 - dot / denom
        }
    }
}

// ── x86_64 AVX-512F — forward compatibility ───────────────────────────────────
//
// 16 f32/iter (vs 8 for AVX2). Runtime-detected — skipped on this machine
// (no avx512f), active on Xeon Scalable, Zen 4+, and Intel Core 12th gen+.
// Requires Rust ≥ 1.89 (AVX-512 intrinsics stabilised there). Gated behind
// the `avx512` feature so the default/manylinux build always succeeds.

#[cfg(all(target_arch = "x86_64", feature = "avx512"))]
mod avx512 {
    use half::f16;
    use std::arch::x86_64::*;

    #[inline(always)]
    unsafe fn hsum512(v: __m512) -> f32 {
        // _mm512_reduce_add_ps stabilized Rust 1.89; _mm512_extractf32x8_ps needs avx512dq.
        // Store all 16 lanes to stack (avx512f), reload as two __m256 (avx), then reduce.
        let mut buf = [0.0f32; 16];
        _mm512_storeu_ps(buf.as_mut_ptr(), v);
        let lo = _mm256_loadu_ps(buf.as_ptr());
        let hi = _mm256_loadu_ps(buf.as_ptr().add(8));
        let sum256 = _mm256_add_ps(lo, hi);
        let hi128 = _mm256_extractf128_ps(sum256, 1);
        let lo128 = _mm256_castps256_ps128(sum256);
        let sum128 = _mm_add_ps(lo128, hi128);
        let shuf = _mm_movehdup_ps(sum128);
        let sums = _mm_add_ps(sum128, shuf);
        let shuf2 = _mm_movehl_ps(shuf, sums);
        _mm_cvtss_f32(_mm_add_ss(sums, shuf2))
    }

    #[target_feature(enable = "avx512f,fma")]
    pub unsafe fn dot(a: &[f32], b: &[f32]) -> f32 {
        let n = a.len().min(b.len());
        let ap = a.as_ptr();
        let bp = b.as_ptr();
        let mut acc = _mm512_setzero_ps();
        let chunks16 = n / 16;
        for i in 0..chunks16 {
            let base = i * 16;
            acc = _mm512_fmadd_ps(
                _mm512_loadu_ps(ap.add(base)),
                _mm512_loadu_ps(bp.add(base)),
                acc,
            );
        }
        let mut sum = hsum512(acc);
        for i in (chunks16 * 16)..n {
            sum += *ap.add(i) * *bp.add(i);
        }
        sum
    }

    #[target_feature(enable = "avx512f,fma")]
    pub unsafe fn euclidean(a: &[f32], b: &[f32]) -> f32 {
        let n = a.len().min(b.len());
        let ap = a.as_ptr();
        let bp = b.as_ptr();
        let mut acc = _mm512_setzero_ps();
        let chunks16 = n / 16;
        for i in 0..chunks16 {
            let base = i * 16;
            let d = _mm512_sub_ps(_mm512_loadu_ps(ap.add(base)), _mm512_loadu_ps(bp.add(base)));
            acc = _mm512_fmadd_ps(d, d, acc);
        }
        let mut sum = hsum512(acc);
        for i in (chunks16 * 16)..n {
            let d = *ap.add(i) - *bp.add(i);
            sum += d * d;
        }
        sum.sqrt()
    }

    #[target_feature(enable = "avx512f,fma")]
    pub unsafe fn cosine(a: &[f32], b: &[f32]) -> f32 {
        let n = a.len().min(b.len());
        let ap = a.as_ptr();
        let bp = b.as_ptr();
        let mut dot_acc = _mm512_setzero_ps();
        let mut na_acc = _mm512_setzero_ps();
        let mut nb_acc = _mm512_setzero_ps();
        let chunks16 = n / 16;
        for i in 0..chunks16 {
            let base = i * 16;
            let av = _mm512_loadu_ps(ap.add(base));
            let bv = _mm512_loadu_ps(bp.add(base));
            dot_acc = _mm512_fmadd_ps(av, bv, dot_acc);
            na_acc = _mm512_fmadd_ps(av, av, na_acc);
            nb_acc = _mm512_fmadd_ps(bv, bv, nb_acc);
        }
        let mut dot = hsum512(dot_acc);
        let mut na2 = hsum512(na_acc);
        let mut nb2 = hsum512(nb_acc);
        for i in (chunks16 * 16)..n {
            let ai = *ap.add(i);
            let bi = *bp.add(i);
            dot += ai * bi;
            na2 += ai * ai;
            nb2 += bi * bi;
        }
        let (na, nb) = (na2.sqrt(), nb2.sqrt());
        if na == 0.0 || nb == 0.0 {
            return 1.0;
        }
        1.0 - dot / (na * nb)
    }

    /// dot(a_f32, b_f16) — AVX-512F+F16C+FMA, 16 F16/iter.
    #[target_feature(enable = "avx512f,f16c,fma")]
    pub unsafe fn dot_f16(a: &[f32], b: &[f16]) -> f32 {
        let n = a.len().min(b.len());
        let ap = a.as_ptr();
        let bp = b.as_ptr() as *const u16;
        let mut acc = _mm512_setzero_ps();
        let chunks16 = n / 16;
        for i in 0..chunks16 {
            let base = i * 16;
            let b_lo = _mm256_cvtph_ps(_mm_loadu_si128(bp.add(base) as *const __m128i));
            let b_hi = _mm256_cvtph_ps(_mm_loadu_si128(bp.add(base + 8) as *const __m128i));
            let bv = _mm512_insertf32x8(_mm512_castps256_ps512(b_lo), b_hi, 1);
            acc = _mm512_fmadd_ps(_mm512_loadu_ps(ap.add(base)), bv, acc);
        }
        let mut sum = hsum512(acc);
        for i in (chunks16 * 16)..n {
            sum += *ap.add(i) * f16::from_bits(*bp.add(i)).to_f32();
        }
        sum
    }

    #[target_feature(enable = "avx512f,f16c,fma")]
    pub unsafe fn euclidean_f16(a: &[f32], b: &[f16]) -> f32 {
        let n = a.len().min(b.len());
        let ap = a.as_ptr();
        let bp = b.as_ptr() as *const u16;
        let mut acc = _mm512_setzero_ps();
        let chunks16 = n / 16;
        for i in 0..chunks16 {
            let base = i * 16;
            let b_lo = _mm256_cvtph_ps(_mm_loadu_si128(bp.add(base) as *const __m128i));
            let b_hi = _mm256_cvtph_ps(_mm_loadu_si128(bp.add(base + 8) as *const __m128i));
            let bv = _mm512_insertf32x8(_mm512_castps256_ps512(b_lo), b_hi, 1);
            let d = _mm512_sub_ps(_mm512_loadu_ps(ap.add(base)), bv);
            acc = _mm512_fmadd_ps(d, d, acc);
        }
        let mut sum = hsum512(acc);
        for i in (chunks16 * 16)..n {
            let d = *ap.add(i) - f16::from_bits(*bp.add(i)).to_f32();
            sum += d * d;
        }
        sum.sqrt()
    }

    #[target_feature(enable = "avx512f,f16c,fma")]
    pub unsafe fn cosine_f16(a: &[f32], b: &[f16]) -> f32 {
        let n = a.len().min(b.len());
        let ap = a.as_ptr();
        let bp = b.as_ptr() as *const u16;
        let mut dot_acc = _mm512_setzero_ps();
        let mut na_acc = _mm512_setzero_ps();
        let mut nb_acc = _mm512_setzero_ps();
        let chunks16 = n / 16;
        for i in 0..chunks16 {
            let base = i * 16;
            let b_lo = _mm256_cvtph_ps(_mm_loadu_si128(bp.add(base) as *const __m128i));
            let b_hi = _mm256_cvtph_ps(_mm_loadu_si128(bp.add(base + 8) as *const __m128i));
            let bv = _mm512_insertf32x8(_mm512_castps256_ps512(b_lo), b_hi, 1);
            let av = _mm512_loadu_ps(ap.add(base));
            dot_acc = _mm512_fmadd_ps(av, bv, dot_acc);
            na_acc = _mm512_fmadd_ps(av, av, na_acc);
            nb_acc = _mm512_fmadd_ps(bv, bv, nb_acc);
        }
        let mut dot = hsum512(dot_acc);
        let mut na2 = hsum512(na_acc);
        let mut nb2 = hsum512(nb_acc);
        for i in (chunks16 * 16)..n {
            let ai = *ap.add(i);
            let bi = f16::from_bits(*bp.add(i)).to_f32();
            dot += ai * bi;
            na2 += ai * ai;
            nb2 += bi * bi;
        }
        let denom = (na2 * nb2).sqrt();
        if denom < 1e-8 {
            1.0
        } else {
            1.0 - dot / denom
        }
    }
}

// ── aarch64 NEON ──────────────────────────────────────────────────────────────

#[cfg(target_arch = "aarch64")]
mod neon_impl {
    use std::arch::aarch64::*;

    #[target_feature(enable = "neon")]
    pub unsafe fn dot(a: &[f32], b: &[f32]) -> f32 {
        let n = a.len().min(b.len());
        let mut acc = vdupq_n_f32(0.0);
        let chunks = n / 4;
        for i in 0..chunks {
            let base = i * 4;
            let av = vld1q_f32(a.as_ptr().add(base));
            let bv = vld1q_f32(b.as_ptr().add(base));
            acc = vmlaq_f32(acc, av, bv);
        }
        let mut sum = vaddvq_f32(acc);
        for i in (chunks * 4)..n {
            sum += a[i] * b[i];
        }
        sum
    }

    #[target_feature(enable = "neon")]
    pub unsafe fn euclidean(a: &[f32], b: &[f32]) -> f32 {
        let n = a.len().min(b.len());
        let mut acc = vdupq_n_f32(0.0);
        let chunks = n / 4;
        for i in 0..chunks {
            let base = i * 4;
            let d = vsubq_f32(
                vld1q_f32(a.as_ptr().add(base)),
                vld1q_f32(b.as_ptr().add(base)),
            );
            acc = vmlaq_f32(acc, d, d);
        }
        let mut sum = vaddvq_f32(acc);
        for i in (chunks * 4)..n {
            let d = a[i] - b[i];
            sum += d * d;
        }
        sum.sqrt()
    }

    #[target_feature(enable = "neon")]
    pub unsafe fn cosine(a: &[f32], b: &[f32]) -> f32 {
        let n = a.len().min(b.len());
        let mut dot_acc = vdupq_n_f32(0.0);
        let mut na_acc = vdupq_n_f32(0.0);
        let mut nb_acc = vdupq_n_f32(0.0);
        let chunks = n / 4;
        for i in 0..chunks {
            let base = i * 4;
            let av = vld1q_f32(a.as_ptr().add(base));
            let bv = vld1q_f32(b.as_ptr().add(base));
            dot_acc = vmlaq_f32(dot_acc, av, bv);
            na_acc = vmlaq_f32(na_acc, av, av);
            nb_acc = vmlaq_f32(nb_acc, bv, bv);
        }
        let mut dot = vaddvq_f32(dot_acc);
        let mut na2 = vaddvq_f32(na_acc);
        let mut nb2 = vaddvq_f32(nb_acc);
        for i in (chunks * 4)..n {
            dot += a[i] * b[i];
            na2 += a[i] * a[i];
            nb2 += b[i] * b[i];
        }
        let (na, nb) = (na2.sqrt(), nb2.sqrt());
        if na == 0.0 || nb == 0.0 {
            return 1.0;
        }
        1.0 - dot / (na * nb)
    }
}

// ── Tests ─────────────────────────────────────────────────────────────────────

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

    #[test]
    fn cosine_identical() {
        let v = vec![1.0f32, 0.0, 0.0];
        assert!(cosine_distance(&v, &v).abs() < 1e-5);
    }

    #[test]
    fn cosine_orthogonal() {
        assert!((cosine_distance(&[1.0f32, 0.0], &[0.0f32, 1.0]) - 1.0).abs() < 1e-5);
    }

    #[test]
    fn euclidean_basic() {
        assert!((euclidean_distance(&[0.0f32, 0.0], &[3.0f32, 4.0]) - 5.0).abs() < 1e-5);
    }

    #[test]
    fn dot_basic() {
        assert!((dot_product(&[1.0f32, 2.0, 3.0], &[4.0f32, 5.0, 6.0]) - 32.0).abs() < 1e-5);
    }

    #[test]
    fn simd_matches_scalar_dim128() {
        use rand::{rngs::StdRng, Rng, SeedableRng};
        let mut rng = StdRng::seed_from_u64(99);
        let a: Vec<f32> = (0..128).map(|_| rng.gen::<f32>() * 2.0 - 1.0).collect();
        let b: Vec<f32> = (0..128).map(|_| rng.gen::<f32>() * 2.0 - 1.0).collect();

        let dot_s = dot_scalar(&a, &b);
        let euclid_s = euclidean_scalar(&a, &b);
        let cos_s = cosine_scalar(&a, &b);

        let dot_f = dot_product(&a, &b);
        let euclid_f = euclidean_distance(&a, &b);
        let cos_f = cosine_distance(&a, &b);

        assert!(
            (dot_f - dot_s).abs() < 1e-4,
            "dot mismatch: {dot_f} vs {dot_s}"
        );
        assert!(
            (euclid_f - euclid_s).abs() < 1e-4,
            "euclidean mismatch: {euclid_f} vs {euclid_s}"
        );
        assert!(
            (cos_f - cos_s).abs() < 1e-4,
            "cosine mismatch: {cos_f} vs {cos_s}"
        );
    }

    #[test]
    fn f16_simd_matches_scalar() {
        use rand::{rngs::StdRng, Rng, SeedableRng};
        let mut rng = StdRng::seed_from_u64(42);
        let a: Vec<f32> = (0..128).map(|_| rng.gen::<f32>() * 2.0 - 1.0).collect();
        let b_f32: Vec<f32> = (0..128).map(|_| rng.gen::<f32>() * 2.0 - 1.0).collect();
        let b: Vec<f16> = b_f32.iter().map(|&x| f16::from_f32(x)).collect();

        let dot_s = dot_f16_scalar(&a, &b);
        let euclid_s = euclidean_f16_scalar(&a, &b);
        let cos_s = cosine_f16_scalar(&a, &b);

        let dot_f = dot_product_f16(&a, &b);
        let euclid_f = euclidean_distance_f16(&a, &b);
        let cos_f = cosine_distance_f16(&a, &b);

        // F16 rounding introduces small error — tolerate 1e-3
        assert!(
            (dot_f - dot_s).abs() < 1e-3,
            "f16 dot mismatch: {dot_f} vs {dot_s}"
        );
        assert!(
            (euclid_f - euclid_s).abs() < 1e-3,
            "f16 euclidean mismatch: {euclid_f} vs {euclid_s}"
        );
        assert!(
            (cos_f - cos_s).abs() < 1e-3,
            "f16 cosine mismatch: {cos_f} vs {cos_s}"
        );
    }

    #[test]
    fn normalize_l2_unit() {
        let v = vec![3.0f32, 4.0];
        let n = normalize_l2(&v);
        let norm: f32 = n.iter().map(|x| x * x).sum::<f32>().sqrt();
        assert!((norm - 1.0).abs() < 1e-6, "norm={norm}");
        assert!((n[0] - 0.6).abs() < 1e-6);
        assert!((n[1] - 0.8).abs() < 1e-6);
    }

    #[test]
    fn normalized_cosine_matches_cosine_on_unit_vecs() {
        let a = normalize_l2(&[1.0f32, 1.0, 0.0]);
        let b = normalize_l2(&[1.0f32, 0.0, 1.0]);
        let cos = cosine_distance(&a, &b);
        let ncos = normalized_cosine_distance(&a, &b);
        assert!((cos - ncos).abs() < 1e-5, "cos={cos} ncos={ncos}");
    }

    #[test]
    fn centroid_single() {
        let v = vec![vec![1.0f32, 2.0, 3.0]];
        let c = compute_centroid_and_radius(&v, VectorMetric::Cosine);
        assert_eq!(c.values, vec![1.0, 2.0, 3.0]);
        assert!(c.radius < 1e-6, "radius={}", c.radius);
    }

    #[test]
    fn centroid_two_points() {
        let vs = vec![vec![0.0f32, 0.0], vec![2.0f32, 2.0]];
        let c = compute_centroid_and_radius(&vs, VectorMetric::Euclidean);
        assert!((c.values[0] - 1.0).abs() < 1e-6);
        assert!(c.radius > 0.0);
    }
}