qdrant-edge 0.8.0

A lightweight, in-process vector search engine designed for embedded devices, autonomous systems, and mobile agents.
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
//! 4-bit product-quantization scoring.
//!
//! # Encoding strategy (arch-specific)
//!
//! Both architectures share the same storage layout for `query_data`
//! (`Vec<[[i8; 16]; 2]>`) and the same `dot_raw` → float reconstruction formula
//! (`postprocess_scale · (dot_raw − bias_correction)`), but the numerical
//! encoding of the codebook and query differs to squeeze the most precision out
//! of each SIMD instruction set:
//!
//! * **aarch64** — `vmull_s8` and `sdot` are true `i8 × i8 → i16/i32` signed
//!   multiplies, so we can store the full `i8 ∈ [−127, 127]` codebook directly
//!   with no offset.  Query halves are full `i8 ∈ [−128, 127]` combined as
//!   `q_signed = 256 · high + low`, giving ~15.9-bit query precision.  The
//!   reconstruction needs no bias correction.
//!
//! * **x86_64** — `_mm_maddubs_epi16` and `VPDPBUSD` consume one `u8` and one
//!   `i8` operand.  To carry full 8-bit codebook magnitude we feed it unsigned
//!   `c_u ∈ [0, 255]` (shifted from signed by `+128`) and keep the query halves
//!   narrower to stay under i16 pair-sum saturation
//!   (`c_u ≤ 255, q ∈ [−64, 63]` → `|pair| ≤ 2·255·64 = 32 640 < 32 767` ✓).
//!   Query halves are 7-bit signed combined as `q_signed = 128 · high + low`,
//!   giving ~13.9-bit query precision.  The shift contributes a per-query
//!   bias `128 · Σ q_signed` that we subtract once in `dotprod`.
//!
//! Both codebooks derive from `CENTROIDS_4BIT` (Lloyd-Max on N(0,1)); see
//! `test_codebook_matches_lloyd_max` for the consistency check.

/// `max|c|` over `CENTROIDS_4BIT` — the extreme centroid.  Shared by both archs.
const CODEBOOK_ABS_MAX: f32 = 2.733;

/// Full `i8` signed codebook for aarch64.  `c_scale = 127 / max|c|` so the
/// extremes hit ±127.  `c_signed[k] = CODEBOOK_I8[k]` directly — no offset.
#[cfg(all(target_arch = "aarch64", target_feature = "neon"))]
const CODEBOOK_I8: [i8; 16] = [
    -127, -96, -75, -58, -44, -31, -18, -6, 6, 18, 31, 44, 58, 75, 96, 127,
];

/// Codebook scale on aarch64: `c_scale = 127 / max|c|`.
#[cfg(all(target_arch = "aarch64", target_feature = "neon"))]
const CODEBOOK_SCALE: f32 = 127.0 / CODEBOOK_ABS_MAX;

/// Aarch64 stores the codebook already signed, so no shift-recovery is needed.
/// Kept as a uniform symbol so `new()` / `dotprod` don't need cfg branches.
#[cfg(all(target_arch = "aarch64", target_feature = "neon"))]
const CODEBOOK_OFFSET: i64 = 0;

/// Maximum signed-integer magnitude the query encoder targets.  Derived so the
/// balanced `q_signed = K · high + low` split keeps both halves inside i8 (on
/// aarch64: |low|, |high| ≤ 128 with K=256; on x86_64: |low|, |high| ≤ 64 with
/// K=128 to satisfy maddubs saturation given the full u8 codebook).
#[cfg(all(target_arch = "aarch64", target_feature = "neon"))]
const QUERY_ABS_MAX: f32 = 32639.0;
#[cfg(all(target_arch = "aarch64", target_feature = "neon"))]
const QUERY_HIGH_COEF: i64 = 256;

/// Full `u8` unsigned codebook for x86_64.  `c_scale = 128 / max|c|` and
/// `c_u[k] = c_signed[k] + 128` puts the centroids into `[0, 255]`.
/// `maddubs` / `VPDPBUSD` consume this directly as their u8 operand.
#[cfg(target_arch = "x86_64")]
const CODEBOOK_U8: [u8; 16] = [
    0, 31, 52, 69, 84, 97, 110, 122, 134, 146, 159, 172, 187, 204, 225, 255,
];

/// Codebook shift: `c_signed[k] = CODEBOOK_U8[k] − CODEBOOK_OFFSET`.  Pair this
/// with `bias_correction = OFFSET · Σ q_signed` in `dotprod` to recover
/// `Σ q · c_signed` from the raw `Σ q · c_u`.
#[cfg(target_arch = "x86_64")]
const CODEBOOK_OFFSET: i64 = 128;

/// Codebook scale on x86_64: `c_scale = 128 / max|c|`.
#[cfg(target_arch = "x86_64")]
const CODEBOOK_SCALE: f32 = 128.0 / CODEBOOK_ABS_MAX;

/// Max q_signed on x86_64 — 7-bit signed half × 128 → roughly ±8127.  Actual
/// symmetric cap of 8127 = 128·63 + 63 keeps both halves in `[−64, 63]`.
#[cfg(target_arch = "x86_64")]
const QUERY_ABS_MAX: f32 = 8127.0;
#[cfg(target_arch = "x86_64")]
const QUERY_HIGH_COEF: i64 = 128;

// Fallback constants for architectures with neither NEON SIMD nor x86_64.
// They match the x86_64 scheme so the scalar reference path can run and
// produce numerically identical results to whichever arch is active.
#[cfg(not(any(
    all(target_arch = "aarch64", target_feature = "neon"),
    target_arch = "x86_64",
)))]
const CODEBOOK_U8: [u8; 16] = [
    0, 31, 52, 69, 84, 97, 110, 122, 134, 146, 159, 172, 187, 204, 225, 255,
];
#[cfg(not(any(
    all(target_arch = "aarch64", target_feature = "neon"),
    target_arch = "x86_64",
)))]
const CODEBOOK_OFFSET: i64 = 128;
#[cfg(not(any(
    all(target_arch = "aarch64", target_feature = "neon"),
    target_arch = "x86_64",
)))]
const CODEBOOK_SCALE: f32 = 128.0 / CODEBOOK_ABS_MAX;
#[cfg(not(any(
    all(target_arch = "aarch64", target_feature = "neon"),
    target_arch = "x86_64",
)))]
const QUERY_ABS_MAX: f32 = 8127.0;
#[cfg(not(any(
    all(target_arch = "aarch64", target_feature = "neon"),
    target_arch = "x86_64",
)))]
const QUERY_HIGH_COEF: i64 = 128;

/// Read the codebook value at `idx` in its arch-native storage form as `i64`.
/// On aarch64 that's the signed `CODEBOOK_I8`; on x86_64 (and fallback) it's
/// the unsigned `CODEBOOK_U8` — the `+OFFSET` shift is unwound later by the
/// query-side `bias_correction`.  Use this inside SIMD-adjacent code that
/// mirrors what the intrinsics actually see.
#[inline]
fn codebook_value_i64(idx: u8) -> i64 {
    #[cfg(all(target_arch = "aarch64", target_feature = "neon"))]
    {
        i64::from(CODEBOOK_I8[idx as usize])
    }
    #[cfg(not(all(target_arch = "aarch64", target_feature = "neon")))]
    {
        i64::from(CODEBOOK_U8[idx as usize])
    }
}

/// Read the codebook value at `idx` as a **true signed** integer, regardless
/// of which storage the current arch uses.  Used by vector-vs-vector scoring
/// where both operands come from the codebook and there's no query-side
/// `bias_correction` to absorb the `+OFFSET` shift.
#[inline]
fn codebook_signed_i64(idx: u8) -> i64 {
    codebook_value_i64(idx) - CODEBOOK_OFFSET
}

/// Encoded query for asymmetric 4-bit PQ scoring.
///
/// # Encoding
/// The f32 query is quantized to signed integers
/// `q_signed ∈ [−QUERY_ABS_MAX, QUERY_ABS_MAX]` and split into two i8 halves
/// combined as `q_signed = QUERY_HIGH_COEF · high + low` — see the module-level
/// docs for the per-arch values of `QUERY_HIGH_COEF` (256 on aarch64, 128 on
/// x86_64) and the reasoning behind the split.  Storage is 16-dim chunks of
/// `[low, high]` plus a scalar-handled tail of up to 14 dims (`dim % 2 == 0`).
/// A matryoshka-trimmed model at any even dim fits without re-encoding.
///
/// # Scoring
/// `dotprod_raw = Σ_j q_signed[j] · c_raw[v[j]]`.  The float result is
/// `postprocess_scale · (dot_raw − bias_correction)`, where `bias_correction`
/// absorbs the `+OFFSET` shift in the x86 unsigned-codebook layout and is 0
/// on aarch64 (signed codebook, no shift).
pub struct Query4bitSimd {
    /// Full 16-dim chunks of the query, each stored as `[low, high]` i8 halves.
    query_data: Vec<[[i8; 16]; 2]>,
    /// Trailing dims that don't fill a 16-dim chunk — up to 14 (since
    /// `dim % 2 == 0`).  Arrays are sized to a full 16-lane SIMD register
    /// (zero-padded beyond `tail_dims`) so arch backends can feed them
    /// straight into one extra `maddubs` / `vmull_s8` iteration on top of a
    /// zero-padded data chunk, replacing the scalar 14-iteration loop.
    tail_low: [i8; 16],
    tail_high: [i8; 16],
    /// Number of meaningful entries in the tail arrays (`0..=14`, always even).
    tail_dims: u8,
    /// `1 / (q_scale · c_scale)` — prefactor from integer to float dot product.
    postprocess_scale: f32,
    /// `CODEBOOK_OFFSET · Σ q_signed[j]` — sums over **all** dims (full
    /// chunks + tail).  Subtracted from `dot_raw` to recover the true signed
    /// dot product.  `0` on aarch64, where the codebook is already signed.
    bias_correction: i64,
}

impl Query4bitSimd {
    /// Query dim must be a multiple of 2 (the 4-bit packing width: two codes
    /// per byte).  Any such dim is accepted — dims that don't fill a full
    /// 16-dim chunk produce up to a 14-dim tail handled scalar-wise in every
    /// SIMD path.  This makes `Query4bitSimd` Matryoshka-friendly: a model
    /// trimmed to 640 / 768 / 896 / 1024 dims all work with the same storage.
    pub fn new(data: &[f32]) -> Self {
        assert!(
            data.len().is_multiple_of(2),
            "Query4bitSimd requires query dim to be a multiple of 2 (got {})",
            data.len(),
        );

        let q_abs_max = data
            .iter()
            .copied()
            .map(f32::abs)
            .fold(0.0_f32, f32::max)
            .max(f32::EPSILON);
        let q_scale = QUERY_ABS_MAX / q_abs_max;

        let k = QUERY_HIGH_COEF as i32;
        let half_k = k / 2;
        let clamp_hi = QUERY_ABS_MAX;
        let clamp_lo = -QUERY_ABS_MAX;

        // Balanced signed split, same math for full chunks and tail.
        let encode = |value: f32| -> (i8, i8, i64) {
            let q_signed = (value * q_scale).round().clamp(clamp_lo, clamp_hi) as i32;
            let l_mod = q_signed.rem_euclid(k);
            let l = if l_mod >= half_k { l_mod - k } else { l_mod } as i8;
            let h = ((q_signed - i32::from(l)) / k) as i8;
            (l, h, i64::from(q_signed))
        };

        let num_chunks = data.len() / 16;
        let full_dims = num_chunks * 16;
        let tail_dims = data.len() - full_dims;
        debug_assert!(tail_dims < 16 && tail_dims.is_multiple_of(2));

        let mut query_data: Vec<[[i8; 16]; 2]> = Vec::with_capacity(num_chunks);
        let mut sum_q_signed: i64 = 0;
        for chunk_idx in 0..num_chunks {
            let mut low = [0_i8; 16];
            let mut high = [0_i8; 16];
            for i in 0..16 {
                let (l, h, q) = encode(data[chunk_idx * 16 + i]);
                low[i] = l;
                high[i] = h;
                sum_q_signed += q;
            }
            query_data.push([low, high]);
        }

        let mut tail_low = [0_i8; 16];
        let mut tail_high = [0_i8; 16];
        for i in 0..tail_dims {
            let (l, h, q) = encode(data[full_dims + i]);
            tail_low[i] = l;
            tail_high[i] = h;
            sum_q_signed += q;
        }

        Self {
            query_data,
            tail_low,
            tail_high,
            tail_dims: tail_dims as u8,
            postprocess_scale: 1.0 / (q_scale * CODEBOOK_SCALE),
            bias_correction: CODEBOOK_OFFSET * sum_q_signed,
        }
    }

    /// Number of `vector` bytes the encoded query expects: 8 bytes per full
    /// 16-dim chunk plus the packed tail (two 4-bit codes per byte).
    #[inline]
    pub(crate) fn expected_vector_bytes(&self) -> usize {
        self.query_data.len() * 8 + (self.tail_dims as usize).div_ceil(2)
    }

    /// Score the encoded query against a 4-bit PQ-encoded `vector`
    /// (two centroid indices per byte; low nibble = even lane, high nibble
    /// = odd lane).  `vector.len()` must equal `ceil(dim / 2)` — full chunks
    /// first, then the tail bytes covering `tail_dims`.
    ///
    /// Dispatches at runtime to the best SIMD backend available on the host
    /// CPU (AVX-512 VNNI → AVX2 → SSE → NEON + SDOT → NEON → scalar).
    pub fn dotprod(&self, vector: &[u8]) -> f32 {
        // No per-vector correction loop: `bias_correction` was baked in at `new()`.
        let dot_raw = self.dotprod_raw_best(vector);
        self.postprocess_scale * (dot_raw - self.bias_correction) as f32
    }

    #[inline]
    fn dotprod_raw_best(&self, vector: &[u8]) -> i64 {
        #[cfg(target_arch = "x86_64")]
        {
            if std::is_x86_feature_detected!("avx512f")
                && std::is_x86_feature_detected!("avx512bw")
                && std::is_x86_feature_detected!("avx512vnni")
            {
                return unsafe { self.dotprod_raw_avx512_vnni(vector) };
            }
            if std::is_x86_feature_detected!("avx2") {
                return unsafe { self.dotprod_raw_avx2(vector) };
            }
            if std::is_x86_feature_detected!("sse4.1") && std::is_x86_feature_detected!("ssse3") {
                return unsafe { self.dotprod_raw_sse(vector) };
            }
        }
        #[cfg(all(target_arch = "aarch64", target_feature = "neon"))]
        {
            if std::arch::is_aarch64_feature_detected!("dotprod") {
                return unsafe { self.dotprod_raw_neon_sdot(vector) };
            }
            return unsafe { self.dotprod_raw_neon(vector) };
        }
        #[allow(unreachable_code)]
        self.dotprod_raw(vector)
    }

    /// Compute `Σ q_signed[j] · c_raw[v[j]]` over all dims — both the
    /// full-chunk section (SIMD-friendly 16 lanes per chunk) and the tail.
    /// Returns `acc_low + QUERY_HIGH_COEF · acc_high`.
    ///
    /// `vector` is PQ-encoded with two 4-bit codebook indices packed per byte:
    /// the low nibble is the index for the even lane (j = 2k), the high nibble
    /// for the odd lane (j = 2k + 1).
    pub fn dotprod_raw(&self, vector: &[u8]) -> i64 {
        assert_eq!(
            vector.len(),
            self.expected_vector_bytes(),
            "Query4bitSimd::dotprod_raw: vector length mismatch ({} vs expected {})",
            vector.len(),
            self.expected_vector_bytes(),
        );
        let mut acc_low: i64 = 0;
        let mut acc_high: i64 = 0;
        for (chunk_idx, [low, high]) in self.query_data.iter().enumerate() {
            let v = &vector[chunk_idx * 8..(chunk_idx + 1) * 8];
            for i in 0..16 {
                let byte = v[i / 2];
                let idx = if i & 1 == 0 { byte & 0x0F } else { byte >> 4 };
                let c = codebook_value_i64(idx);
                acc_low += i64::from(low[i]) * c;
                acc_high += i64::from(high[i]) * c;
            }
        }
        acc_low + QUERY_HIGH_COEF * acc_high + self.dotprod_raw_tail(vector)
    }

    /// Scalar contribution from the `tail_dims` trailing query entries.
    /// Used by the scalar [`Self::dotprod_raw`] reference.  SIMD backends
    /// have their own tail helpers that feed one zero-padded chunk into the
    /// same kernel used for full chunks.
    #[inline]
    pub(crate) fn dotprod_raw_tail(&self, vector: &[u8]) -> i64 {
        if self.tail_dims == 0 {
            return 0;
        }
        let tail_byte_start = self.query_data.len() * 8;
        let mut acc_low: i64 = 0;
        let mut acc_high: i64 = 0;
        for i in 0..self.tail_dims as usize {
            let byte = vector[tail_byte_start + i / 2];
            let idx = if i & 1 == 0 { byte & 0x0F } else { byte >> 4 };
            let c = codebook_value_i64(idx);
            acc_low += i64::from(self.tail_low[i]) * c;
            acc_high += i64::from(self.tail_high[i]) * c;
        }
        acc_low + QUERY_HIGH_COEF * acc_high
    }

    /// Prepare an 8-byte zero-padded scratch buffer with the packed tail data,
    /// suitable for feeding into a single SSE / NEON chunk kernel.
    /// Returns `None` when there is no tail.  The returned buffer has the
    /// same nibble layout as any full chunk in `vector` — low nibble = even
    /// lane, high nibble = odd lane.  Unused lanes are zero: with
    /// `tail_low[tail_dims..] = tail_high[tail_dims..] = 0` they contribute
    /// nothing to `maddubs` / `vmull` products.
    #[inline]
    pub(crate) fn tail_chunk_scratch(&self, vector: &[u8]) -> Option<[u8; 8]> {
        if self.tail_dims == 0 {
            return None;
        }
        let tail_byte_start = self.query_data.len() * 8;
        let tail_bytes = (self.tail_dims as usize).div_ceil(2);
        let mut buf = [0u8; 8];
        buf[..tail_bytes].copy_from_slice(&vector[tail_byte_start..tail_byte_start + tail_bytes]);
        Some(buf)
    }
}

/// Dot product between two already-encoded 4-bit PQ vectors.  Both `a` and
/// `b` are the packed-nibble format that [`Query4bitSimd::dotprod`] takes as
/// its `vector` argument — every byte holds two codebook indices (low nibble
/// = even lane, high nibble = odd lane).
///
/// Computes `Σ c[a[j]] · c[b[j]]` in centroid-float space.  Dispatches to the
/// fastest available SIMD implementation at runtime and falls back to
/// [`score_4bit_internal_scalar`] otherwise.  Any byte length is accepted —
/// bytes that don't fill a full SIMD chunk are folded in scalar-wise so that
/// Matryoshka-style dim ∈ {2k: k ∈ ℕ} all work.
///
/// # Panics
/// Panics if the two vectors have different lengths.
pub fn score_4bit_internal(a: &[u8], b: &[u8]) -> f32 {
    assert_eq!(
        a.len(),
        b.len(),
        "score_4bit_internal: vector length mismatch ({} vs {})",
        a.len(),
        b.len(),
    );

    #[cfg(target_arch = "x86_64")]
    {
        if std::is_x86_feature_detected!("avx512f")
            && std::is_x86_feature_detected!("avx512bw")
            && std::is_x86_feature_detected!("avx512vnni")
        {
            return unsafe { x64::score_4bit_internal_avx512_vnni(a, b) };
        }
        if std::is_x86_feature_detected!("avx2") {
            return unsafe { x64::score_4bit_internal_avx2(a, b) };
        }
        if std::is_x86_feature_detected!("sse4.1") && std::is_x86_feature_detected!("ssse3") {
            return unsafe { x64::score_4bit_internal_sse(a, b) };
        }
    }
    #[cfg(all(target_arch = "aarch64", target_feature = "neon"))]
    {
        if std::arch::is_aarch64_feature_detected!("dotprod") {
            return unsafe { arm::score_4bit_internal_neon_sdot(a, b) };
        }
        return unsafe { arm::score_4bit_internal_neon(a, b) };
    }
    #[allow(unreachable_code)]
    score_4bit_internal_scalar(a, b)
}

/// Scalar reference implementation of [`score_4bit_internal`].  Exposed as
/// the fallback on architectures without a SIMD variant, the `assert_eq!`
/// baseline for per-arch parity tests, and as a standalone bench target.
///
/// Caller is responsible for checking the length preconditions — the public
/// [`score_4bit_internal`] enforces them before dispatching.
pub fn score_4bit_internal_scalar(a: &[u8], b: &[u8]) -> f32 {
    // c_signed ≈ c_float · c_scale → c_signed_a · c_signed_b ≈ c_float_a · c_float_b · c_scale².
    score_4bit_internal_integer(a, b) as f32 / (CODEBOOK_SCALE * CODEBOOK_SCALE)
}

/// Integer-only scalar kernel shared by all backends — used by SIMD paths to
/// fold in any bytes that didn't fit a full SIMD chunk (and by
/// [`score_4bit_internal_scalar`] as its inner loop).
#[inline]
pub(crate) fn score_4bit_internal_integer(a: &[u8], b: &[u8]) -> i64 {
    let mut acc: i64 = 0;
    for (&byte_a, &byte_b) in a.iter().zip(b.iter()) {
        let a_lo = byte_a & 0x0F;
        let a_hi = byte_a >> 4;
        let b_lo = byte_b & 0x0F;
        let b_hi = byte_b >> 4;
        acc += codebook_signed_i64(a_lo) * codebook_signed_i64(b_lo);
        acc += codebook_signed_i64(a_hi) * codebook_signed_i64(b_hi);
    }
    acc
}

/// Weighted variant of [`score_4bit_internal`]: returns `Σ_j c[a[j]] · c[b[j]]
/// · weights[j]` in centroid-float space. `weights` is i16-quantized `D'_j²`
/// from TQ+ error correction (non-negative, capped at `i16::MAX − 1`); the
/// caller divides the integer sum by `weight_scale · CODEBOOK_SCALE²` to
/// recover the true f32 dot. The `i16` element type encodes the SIMD
/// invariant directly — every backend can multiply via `vmull_s16` /
/// `madd_epi16` without re-checking the high bit.
///
/// Each input byte holds two 4-bit indices (low nibble = even lane, high
/// nibble = odd lane). `weights.len()` must equal `2 · a.len()`.
///
/// # Panics
/// Panics if `a` and `b` have different lengths or if `weights` has the
/// wrong length.
pub fn score_4bit_internal_weighted(a: &[u8], b: &[u8], weights: &[i16]) -> i64 {
    assert_eq!(
        a.len(),
        b.len(),
        "score_4bit_internal_weighted: vector length mismatch ({} vs {})",
        a.len(),
        b.len(),
    );
    assert_eq!(
        weights.len(),
        2 * a.len(),
        "score_4bit_internal_weighted: weights length {} != 2 · a.len() {}",
        weights.len(),
        2 * a.len(),
    );

    #[cfg(target_arch = "x86_64")]
    {
        if std::is_x86_feature_detected!("avx2") {
            return unsafe { x64::score_4bit_internal_weighted_avx2(a, b, weights) };
        }
        if std::is_x86_feature_detected!("sse4.1") && std::is_x86_feature_detected!("ssse3") {
            return unsafe { x64::score_4bit_internal_weighted_sse(a, b, weights) };
        }
    }
    #[cfg(all(target_arch = "aarch64", target_feature = "neon"))]
    {
        return unsafe { arm::score_4bit_internal_weighted_neon(a, b, weights) };
    }
    #[allow(unreachable_code)]
    score_4bit_internal_weighted_scalar(a, b, weights)
}

/// Scalar reference for [`score_4bit_internal_weighted`].
#[inline]
pub fn score_4bit_internal_weighted_scalar(a: &[u8], b: &[u8], weights: &[i16]) -> i64 {
    let mut acc: i64 = 0;
    for (i, (&byte_a, &byte_b)) in a.iter().zip(b.iter()).enumerate() {
        let a_lo = byte_a & 0x0F;
        let a_hi = byte_a >> 4;
        let b_lo = byte_b & 0x0F;
        let b_hi = byte_b >> 4;
        let p_lo = codebook_signed_i64(a_lo) * codebook_signed_i64(b_lo);
        let p_hi = codebook_signed_i64(a_hi) * codebook_signed_i64(b_hi);
        acc += p_lo * i64::from(weights[2 * i]);
        acc += p_hi * i64::from(weights[2 * i + 1]);
    }
    acc
}

/// Square of the codebook scale — the integer sum from
/// [`score_4bit_internal_weighted`] is divided by `weight_scale ·
/// CODEBOOK_SCALE_SQ` to get the f32 weighted dot.
pub const CODEBOOK_SCALE_SQ: f32 = CODEBOOK_SCALE * CODEBOOK_SCALE;

#[cfg(all(target_arch = "aarch64", target_feature = "neon"))]
mod arm;

#[cfg(target_arch = "x86_64")]
mod x64;

#[cfg(all(target_arch = "aarch64", target_feature = "neon"))]
pub use arm::{
    score_4bit_internal_neon, score_4bit_internal_neon_sdot, score_4bit_internal_weighted_neon,
};
#[cfg(target_arch = "x86_64")]
pub use x64::{
    score_4bit_internal_avx2, score_4bit_internal_avx512_vnni, score_4bit_internal_sse,
    score_4bit_internal_weighted_avx2, score_4bit_internal_weighted_sse,
};

/// 4-bit-specific test helpers.  Bit-width-agnostic helpers (`pack_codes`,
/// `sample_normal_vec`, `encode_to_nearest_centroid`) live in
/// [`super::super::shared`].
#[cfg(test)]
pub mod shared {
    use rand::prelude::StdRng;
    use rand::seq::SliceRandom;

    use super::super::shared::{pack_codes, sample_normal_vec};
    use super::Query4bitSimd;

    /// Corner-case dims covering every tail size the 4-bit pipeline can
    /// produce, for each SIMD backend:
    ///   • `16, 32, 128, 256, 1024, 2048` — full chunks, no tail (baseline).
    ///   • `48` — 3 chunks (odd SDOT/VNNI leftover), no tail.
    ///   • `18, 30, 46, 62, 1026, 2046` — full chunks + non-zero tail
    ///     (tail sizes 2, 14, 14, 14, 2, 14 dims respectively).
    ///   • `270` — 16 chunks + 14-dim tail (exercises largest tail at a
    ///     realistic matryoshka dim).
    pub const PARITY_DIMS: &[usize] = &[
        16, 18, 30, 32, 46, 48, 62, 128, 256, 270, 1024, 1026, 2046, 2048,
    ];

    /// Parity-test helper: query ~ N(0,1), balanced index distribution (each
    /// centroid appears `dim/16` times, shuffled).  Index distribution doesn't
    /// affect scalar-vs-SIMD parity; we just need non-trivial data.
    pub fn random_inputs(rng: &mut StdRng, dim: usize) -> (Query4bitSimd, Vec<u8>) {
        let query = sample_normal_vec(rng, dim);
        let mut indices: Vec<u8> = (0..dim).map(|i| (i % 16) as u8).collect();
        indices.shuffle(rng);
        (Query4bitSimd::new(&query), pack_codes(&indices, 4))
    }
}

/// Accuracy / precision tests for the public `Query4bitSimd` API.
///
/// Per-arch SIMD parity tests and the saturation-safety test live in the
/// `arm` / `x64` submodules — they verify that each SIMD implementation
/// matches the scalar reference `dotprod_raw`, not the float ground truth.
#[cfg(test)]
mod tests {
    // Anonymous `use _` brings the trait into scope for `StdRng::seed_from_u64`
    // without introducing a name rustc then flags as unused.
    use rand::SeedableRng as _;
    use rand::prelude::StdRng;

    use super::super::shared::{encode_to_nearest_centroid, pack_codes, sample_normal_vec};
    use super::{CODEBOOK_ABS_MAX, Query4bitSimd};
    use crate::quantization::turboquant::TQBits;

    /// Whichever codebook representation the current arch uses (signed i8 on
    /// aarch64, shifted u8 on x86_64), it must match what the runtime recipe
    /// would produce from `CENTROIDS_4BIT`.
    #[test]
    fn test_codebook_matches_lloyd_max() {
        let centroids = TQBits::Bits4.get_centroids();
        assert_eq!(centroids.len(), 16);

        let c_abs_max = centroids
            .iter()
            .copied()
            .map(f32::abs)
            .fold(0.0_f32, f32::max);
        assert!(
            (CODEBOOK_ABS_MAX - c_abs_max).abs() < 1e-6,
            "CODEBOOK_ABS_MAX ({CODEBOOK_ABS_MAX}) != max|CENTROIDS_4BIT| ({c_abs_max})"
        );

        #[cfg(all(target_arch = "aarch64", target_feature = "neon"))]
        {
            let c_scale = 127.0 / c_abs_max;
            let quantized: [i8; 16] = std::array::from_fn(|k| {
                (centroids[k] * c_scale).round().clamp(-127.0, 127.0) as i8
            });
            assert_eq!(
                quantized,
                super::CODEBOOK_I8,
                "const CODEBOOK_I8 drifted from CENTROIDS_4BIT Lloyd-Max quantization",
            );
        }
        #[cfg(not(all(target_arch = "aarch64", target_feature = "neon")))]
        {
            let c_scale = 128.0 / c_abs_max;
            let offset = super::CODEBOOK_OFFSET as i32;
            let quantized: [u8; 16] = std::array::from_fn(|k| {
                let signed = (centroids[k] * c_scale).round().clamp(-128.0, 127.0) as i32;
                (signed + offset) as u8
            });
            assert_eq!(
                quantized,
                super::CODEBOOK_U8,
                "const CODEBOOK_U8 drifted from CENTROIDS_4BIT Lloyd-Max quantization",
            );
        }
    }

    /// Reconstruction accuracy on realistic PQ inputs: query ∼ N(0,1), vector
    /// drawn from N(0,1) then mapped to its nearest centroid.  We compare
    /// `simd.dotprod()` against the "ideal" PQ dot (sum of `q[j] · c[v[j]]`
    /// with float-precision centroid lookup) — the error our SIMD path adds
    /// over a hypothetical perfect-precision PQ should be tiny.
    ///
    /// Parameterized over matryoshka-style corner-case dims to exercise the
    /// tail-handling logic end-to-end (not just bit-exact parity).
    #[rstest::rstest]
    #[case::full_chunks(256)]
    #[case::small_tail(18)]
    #[case::max_tail(30)]
    #[case::odd_chunks_only(48)]
    #[case::odd_chunks_plus_tail(62)]
    #[case::matryoshka(270)]
    #[case::large_with_tail(2046)]
    fn test_dotprod_matches_float(#[case] dim: usize) {
        let mut rng = StdRng::seed_from_u64(42);
        let n_trials = 64;

        let centroids = TQBits::Bits4.get_centroids();

        for _ in 0..n_trials {
            let query = sample_normal_vec(&mut rng, dim);
            let v_raw = sample_normal_vec(&mut rng, dim);
            let indices = encode_to_nearest_centroid(centroids, &v_raw);
            let v_pq: Vec<f32> = indices.iter().map(|&k| centroids[k as usize]).collect();

            let pq_dot: f32 = query.iter().zip(v_pq.iter()).map(|(a, b)| a * b).sum();
            let simd_dot = Query4bitSimd::new(&query).dotprod(&pack_codes(&indices, 4));

            // Error scales roughly like √dim · σ_q · ε_c.  Allow a tolerance
            // that is comfortably above the 3σ tail for dim up to ~2K.
            let tol = (0.5_f32).max(0.03 * (dim as f32).sqrt());
            assert!(
                (pq_dot - simd_dot).abs() < tol,
                "dim={dim}: simd_dot {simd_dot} too far from ideal PQ dot {pq_dot} (tol={tol})",
            );
        }
    }

    /// Quantitative proof that our SIMD quantization is negligible next to PQ
    /// centroid snapping: RMS error added by our encoding is at least 5×
    /// smaller than the RMS error PQ itself introduces.  If this invariant
    /// ever flips, something in the quantization pipeline lost precision.
    #[test]
    fn test_simd_noise_below_pq_noise() {
        let mut rng = StdRng::seed_from_u64(123);
        let dim = 256;
        let n_trials = 256;

        let centroids = TQBits::Bits4.get_centroids();

        let mut sq_pq_noise = 0.0_f64;
        let mut sq_simd_noise = 0.0_f64;

        for _ in 0..n_trials {
            let query = sample_normal_vec(&mut rng, dim);
            let v_raw = sample_normal_vec(&mut rng, dim);
            let indices = encode_to_nearest_centroid(centroids, &v_raw);
            let v_pq: Vec<f32> = indices.iter().map(|&k| centroids[k as usize]).collect();

            let true_dot: f64 = query
                .iter()
                .zip(v_raw.iter())
                .map(|(a, b)| f64::from(*a) * f64::from(*b))
                .sum();
            let pq_dot: f64 = query
                .iter()
                .zip(v_pq.iter())
                .map(|(a, b)| f64::from(*a) * f64::from(*b))
                .sum();
            let simd_dot = f64::from(Query4bitSimd::new(&query).dotprod(&pack_codes(&indices, 4)));

            sq_pq_noise += (pq_dot - true_dot).powi(2);
            sq_simd_noise += (simd_dot - pq_dot).powi(2);
        }

        let rms_pq_noise = (sq_pq_noise / f64::from(n_trials)).sqrt();
        let rms_simd_noise = (sq_simd_noise / f64::from(n_trials)).sqrt();

        // Print for easy comparison across encoding variants.
        eprintln!(
            "NOISE at dim={dim}: pq_rms={rms_pq_noise:.4} simd_rms={rms_simd_noise:.4} \
             ratio={:.2}×",
            rms_pq_noise / rms_simd_noise,
        );

        assert!(
            rms_simd_noise * 5.0 < rms_pq_noise,
            "SIMD noise RMS {rms_simd_noise:.4} should be << PQ noise RMS \
             {rms_pq_noise:.4} (ratio {:.2}×)",
            rms_pq_noise / rms_simd_noise,
        );
    }

    /// `score_4bit_internal` should recover the pure centroid-space dot
    /// product `Σ c[a[j]] · c[b[j]]` up to the i8 quantization step of the
    /// codebook (≤ 1/c_scale ≈ 0.022 per centroid).  For dim=256 the
    /// cumulative RMS error stays well under 1.0.
    #[test]
    fn test_score_4bit_internal_matches_centroid_product() {
        let mut rng = StdRng::seed_from_u64(7);
        let centroids = TQBits::Bits4.get_centroids();
        let dim = 256;
        let n_trials = 32;

        for _ in 0..n_trials {
            let raw_a = sample_normal_vec(&mut rng, dim);
            let raw_b = sample_normal_vec(&mut rng, dim);
            let idx_a = encode_to_nearest_centroid(centroids, &raw_a);
            let idx_b = encode_to_nearest_centroid(centroids, &raw_b);

            let truth: f64 = idx_a
                .iter()
                .zip(idx_b.iter())
                .map(|(&ia, &ib)| {
                    f64::from(centroids[ia as usize]) * f64::from(centroids[ib as usize])
                })
                .sum();
            let score = super::score_4bit_internal(&pack_codes(&idx_a, 4), &pack_codes(&idx_b, 4));

            // Codebook quantization budget: Δc ≈ max|c|/127 ≈ 0.022, so each
            // term has error ≲ 2·c·Δc ≲ 0.12; over d=256 independent terms
            // the RMS error is ≲ √d · 0.12 ≈ 1.9.  2.0 is a loose 1σ-ish bound.
            assert!(
                (truth as f32 - score).abs() < 2.0,
                "score {score} too far from centroid-product truth {truth}",
            );
        }
    }

    /// Saturation-safety at 64K dims: every centroid index at max (`15`),
    /// every weight at `i16::MAX`. `weights[i]` is `i16` (the storage type
    /// matches the SIMD load — `madd_epi16` / `vmull_s16`). This is the
    /// worst-case integer load the weighted kernel can see, and the i64
    /// accumulator must absorb it.
    ///
    /// Per-coord product:
    ///   `c_signed² × weight = 127² × 32 767 = 16 129 × 32 767 ≈ 5.28e8`
    /// (fits i32 with ~4× headroom). Total over 65 536 coords:
    /// `≈ 3.46e13` — fits i64 (~2.7e5× headroom; signed i64 max ≈ 9.2e18).
    #[test]
    fn test_score_4bit_internal_weighted_saturation_safety_64k() {
        let dim = 65_536;
        let indices: Vec<u8> = vec![15; dim]; // max-magnitude centroid
        let vec_a = pack_codes(&indices, 4);
        let vec_b = pack_codes(&indices, 4);
        let max_weight: i16 = i16::MAX;
        let weights: Vec<i16> = vec![max_weight; dim];

        let raw_int = super::score_4bit_internal_weighted(&vec_a, &vec_b, &weights);

        // Worst-case integer ground truth: every coord contributes
        // `c_signed² × max_weight`, summed over `dim`. Any SIMD i32-lane
        // accumulator overflow would manifest here as a wrap-around.
        let c_max_signed = super::codebook_signed_i64(15);
        let per_coord = c_max_signed * c_max_signed * i64::from(max_weight);
        let expected = per_coord * dim as i64;
        assert_eq!(
            raw_int, expected,
            "i64 sum overflow / mismatch at dim={dim} (per-coord={per_coord}, expected={expected}, got={raw_int})",
        );
    }

    /// `score_4bit_internal_weighted` should recover `Σ c[a[j]] · c[b[j]] ·
    /// D'_j²` up to:
    ///   1. the i8 codebook quantization step (≈ 0.022 per centroid), and
    ///   2. the i16 weight quantization step (relative ≤ 1/(i16::MAX-1)).
    ///
    /// Reconstruction is `int_sum / (weight_scale · CODEBOOK_SCALE²)`.
    #[test]
    fn test_score_4bit_internal_weighted_matches_reference() {
        use rand::RngExt;

        let mut rng = StdRng::seed_from_u64(0xCAFE);
        let centroids = TQBits::Bits4.get_centroids();
        let dim = 256;
        let n_trials = 32;

        for _ in 0..n_trials {
            let raw_a = sample_normal_vec(&mut rng, dim);
            let raw_b = sample_normal_vec(&mut rng, dim);
            let idx_a = encode_to_nearest_centroid(centroids, &raw_a);
            let idx_b = encode_to_nearest_centroid(centroids, &raw_b);

            // Random weights in [0, 4) f32, quantized into the `i16` storage
            // form the SIMD kernels consume directly — matches
            // `ErrorCorrection::new` (values capped to `[0, i16::MAX − 1]`).
            let weights_f32: Vec<f32> = (0..dim).map(|_| rng.random_range(0.0..4.0)).collect();
            let max_w = weights_f32.iter().copied().fold(0.0f32, f32::max);
            const QUANT_CAP: i16 = i16::MAX - 1;
            let weight_scale = f32::from(QUANT_CAP) / max_w;
            let weights_i16: Vec<i16> = weights_f32
                .iter()
                .map(|&x| (x * weight_scale).round().clamp(0.0, f32::from(QUANT_CAP)) as i16)
                .collect();

            let truth: f64 = idx_a
                .iter()
                .zip(idx_b.iter())
                .zip(weights_f32.iter())
                .map(|((&ia, &ib), &w)| {
                    f64::from(centroids[ia as usize])
                        * f64::from(centroids[ib as usize])
                        * f64::from(w)
                })
                .sum();
            let raw_int = super::score_4bit_internal_weighted(
                &pack_codes(&idx_a, 4),
                &pack_codes(&idx_b, 4),
                &weights_i16,
            );
            let score = raw_int as f32 / (weight_scale * super::CODEBOOK_SCALE_SQ);

            // Per-coord error budget ≈ |c|² · max_w / 65534 + 2·|c|·Δc·w.
            // For dim=256 with weights up to 4 and centroids up to ~2.7 the
            // RMS bound is ≲ √d · 0.5 ≈ 8 — generous slack at 16.
            assert!(
                (truth as f32 - score).abs() < 16.0,
                "weighted score {score} too far from reference {truth}",
            );
        }
    }
}