hermes-core 1.8.100

Core async search engine library with WASM support
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
927
928
929
930
931
932
933
934
935
936
937
938
939
940
941
942
943
944
945
946
947
948
949
950
951
952
953
954
955
956
957
958
959
960
961
962
963
964
965
966
967
968
969
970
971
972
973
974
975
976
977
978
979
980
981
982
983
984
985
986
987
988
989
990
991
992
993
994
995
996
997
998
999
1000
1001
1002
1003
1004
1005
1006
1007
1008
1009
1010
1011
1012
1013
1014
1015
1016
1017
1018
1019
1020
1021
1022
1023
1024
1025
1026
1027
1028
1029
1030
1031
1032
1033
1034
1035
1036
1037
1038
1039
1040
1041
1042
1043
1044
1045
1046
1047
1048
1049
1050
1051
1052
1053
1054
1055
1056
1057
1058
1059
1060
1061
1062
1063
1064
1065
1066
1067
1068
1069
1070
1071
1072
1073
1074
1075
1076
1077
1078
1079
1080
1081
1082
1083
1084
1085
1086
1087
1088
1089
1090
1091
1092
1093
1094
1095
1096
1097
1098
1099
1100
1101
1102
1103
1104
1105
1106
1107
1108
1109
1110
1111
1112
1113
1114
1115
1116
1117
1118
1119
1120
1121
1122
1123
1124
1125
1126
1127
1128
1129
1130
1131
1132
1133
1134
1135
1136
1137
1138
1139
1140
1141
1142
1143
1144
1145
1146
1147
1148
1149
1150
1151
1152
1153
1154
1155
1156
1157
1158
1159
1160
1161
1162
1163
1164
1165
1166
1167
1168
1169
1170
1171
1172
1173
1174
1175
1176
1177
1178
1179
1180
1181
1182
1183
1184
1185
1186
1187
1188
1189
1190
1191
1192
1193
1194
1195
1196
1197
1198
1199
1200
1201
1202
1203
1204
1205
1206
1207
1208
1209
1210
1211
1212
1213
1214
1215
1216
1217
1218
1219
1220
1221
1222
1223
1224
1225
1226
1227
1228
1229
1230
1231
1232
1233
1234
1235
1236
1237
1238
1239
1240
1241
1242
1243
1244
1245
1246
1247
1248
1249
1250
1251
1252
1253
1254
1255
1256
1257
1258
1259
1260
1261
1262
1263
1264
1265
1266
1267
1268
1269
1270
1271
1272
1273
1274
1275
1276
1277
1278
1279
1280
1281
1282
1283
1284
1285
1286
1287
1288
1289
1290
1291
1292
1293
1294
1295
1296
1297
1298
1299
1300
1301
1302
1303
1304
1305
1306
1307
1308
1309
1310
1311
1312
1313
1314
1315
1316
1317
1318
1319
1320
1321
1322
1323
1324
1325
1326
1327
1328
1329
1330
1331
1332
1333
1334
1335
1336
1337
1338
1339
1340
1341
1342
1343
1344
1345
1346
1347
1348
1349
1350
1351
1352
1353
1354
1355
1356
1357
1358
1359
1360
1361
1362
1363
1364
1365
1366
1367
1368
1369
1370
1371
1372
1373
1374
1375
1376
1377
1378
1379
1380
1381
1382
1383
1384
1385
1386
1387
1388
1389
1390
1391
1392
1393
1394
1395
1396
1397
1398
1399
1400
1401
1402
1403
1404
1405
1406
1407
1408
1409
1410
1411
1412
1413
1414
1415
1416
1417
1418
1419
1420
1421
1422
1423
1424
1425
1426
1427
1428
1429
1430
1431
1432
1433
1434
1435
1436
1437
1438
1439
1440
1441
1442
1443
1444
1445
1446
1447
1448
1449
1450
1451
1452
1453
1454
1455
1456
1457
1458
1459
1460
1461
1462
1463
1464
1465
1466
1467
1468
1469
1470
1471
1472
1473
1474
1475
1476
1477
1478
1479
1480
1481
1482
1483
1484
1485
1486
1487
1488
1489
1490
1491
1492
//! TurboQuant (TQ): training-free dense-vector codec.
//!
//! Design: `docs/turboquant-quantization.md`. Per padded coordinate the codec
//! stores a 3-bit scalar code (analytic Lloyd-Max levels for the unit-sphere
//! coordinate density) plus a 1-bit QJL sign of the rotated stage-1 residual;
//! a per-vector f32 `gamma = ‖residual‖₂` makes the inner-product estimator
//! unbiased. Everything is derived from `(dim, codec constants)` — no trained
//! artifacts and no cross-segment generations.
//!
//! References: Zandieh, Daliri et al., "TurboQuant: Online Vector
//! Quantization with Near-optimal Distortion Rate" (arXiv 2504.19874);
//! layout and LUT16 scoring follow the FastScan pattern (Faiss,
//! mayflower/pg_turboquant, both MIT).

/// Bumping this refuses to mix payloads across incompatible codec revisions.
/// v2: padding-free 3-round rotation (sub-FWHT + signs + permutation per
/// round) replaced the single-round power-of-two-padded FWHT — 768-dim codes
/// shrank 33% and the codebook density now uses the true dimension.
pub const TQ_CODEC_VERSION: u32 = 2;
/// Bits per padded coordinate: 3-bit stage-1 code + 1-bit QJL sign.
pub const TQ_BITS: u32 = 4;
/// Vectors per scoring block; one lane per vector.
pub const TQ_BLOCK_LANES: usize = 16;
/// Smallest supported padded dimension. Below this the coordinate density
/// exponent `(P-3)/2` degenerates and LUT rows would not fill a SIMD lane.
pub const TQ_MIN_PADDED_DIM: usize = 8;

const TQ_STAGE1_LEVELS: usize = 8;
const TQ_STAGE1_SEED: u64 = 0x7154_5354_4147_4531; // "qTSTAGE1"
const TQ_QJL_SEED: u64 = 0x7154_514a_4c53_4b31; // "qTQJLSK1"
const TQ_LLOYD_GRID: usize = 8192;
const TQ_LLOYD_MAX_ITERATIONS: usize = 64;
const TQ_LLOYD_TOLERANCE: f64 = 1e-9;
/// i16 lane accumulators are widened to i32 at least every this many
/// dimensions: 128 * 127 = 16256 stays far from i16 saturation.
#[cfg(any(target_arch = "aarch64", target_arch = "x86_64"))]
const TQ_ACCUMULATE_CHUNK_DIMS: usize = 128;

/// Code-layout dimension: the input dimension rounded up to an even count
/// (two 4-bit coordinates per byte), floored at `TQ_MIN_PADDED_DIM`. Since
/// codec v2 the rotation is padding-free, so this tracks the true dimension
/// instead of the next power of two. Cheap; usable for header validation
/// without building a codec.
#[inline]
pub fn tq_padded_dim(dim: usize) -> usize {
    dim.next_multiple_of(2).max(TQ_MIN_PADDED_DIM)
}

/// Fingerprint every payload built for `dim` must carry (no codebook build).
#[inline]
pub fn tq_expected_fingerprint(dim: usize) -> u64 {
    tq_fingerprint(dim, tq_padded_dim(dim))
}

/// Process-wide codec cache. A codec is a pure function of the dimension and
/// costs a Lloyd solve to build; segment opens and merges share one instance
/// per dimension instead of re-deriving it.
pub fn tq_shared_codec(dim: usize) -> std::sync::Arc<TqCodec> {
    static CODECS: std::sync::OnceLock<
        std::sync::Mutex<rustc_hash::FxHashMap<usize, std::sync::Arc<TqCodec>>>,
    > = std::sync::OnceLock::new();
    let cache = CODECS.get_or_init(Default::default);
    let mut guard = cache
        .lock()
        .unwrap_or_else(|poisoned| poisoned.into_inner());
    std::sync::Arc::clone(
        guard
            .entry(dim)
            .or_insert_with(|| std::sync::Arc::new(TqCodec::new(dim))),
    )
}

/// Bytes of one scoring block: 16 f32 gammas + 16 packed nibble rows.
#[inline]
pub const fn tq_block_bytes(code_size: usize) -> usize {
    TQ_BLOCK_LANES * (size_of::<f32>() + code_size)
}

/// Total codes-column bytes for `count` vectors (final block zero-padded).
#[inline]
pub const fn tq_codes_column_len(count: usize, code_size: usize) -> usize {
    count.div_ceil(TQ_BLOCK_LANES) * tq_block_bytes(code_size)
}

/// Overflow-checked [`tq_codes_column_len`] for untrusted header values.
#[inline]
pub fn tq_codes_column_len_checked(count: usize, code_size: usize) -> Option<usize> {
    count
        .div_ceil(TQ_BLOCK_LANES)
        .checked_mul(tq_block_bytes(code_size))
}

/// Bytes of one IVF-TQ scoring block: 16 f32 residual scales + 16 f32 gammas
/// + 16 packed nibble rows.
#[inline]
pub const fn tq_ivf_block_bytes(code_size: usize) -> usize {
    TQ_BLOCK_LANES * (2 * size_of::<f32>() + code_size)
}

/// Overflow-checked IVF-TQ codes-column length for untrusted header values.
#[inline]
pub fn tq_ivf_codes_column_len_checked(count: usize, code_size: usize) -> Option<usize> {
    count
        .div_ceil(TQ_BLOCK_LANES)
        .checked_mul(tq_ivf_block_bytes(code_size))
}

#[inline]
fn splitmix64(state: &mut u64) -> u64 {
    *state = state.wrapping_add(0x9e37_79b9_7f4a_7c15);
    let mut z = *state;
    z = (z ^ (z >> 30)).wrapping_mul(0xbf58_476d_1ce4_e5b9);
    z = (z ^ (z >> 27)).wrapping_mul(0x94d0_49bb_1331_11eb);
    z ^ (z >> 31)
}

/// Number of sign/sub-FWHT/permutation rounds in the padding-free rotation.
/// One round mixes the largest power-of-two prefix; the permutations carry
/// every coordinate through that prefix across rounds, so three rounds give
/// near-uniform mixing for any dimension (pinned by the estimator tests).
const TQ_ROTATION_ROUNDS: usize = 3;

/// Seeded structured rotation, padding-free: per round, sign flips → a
/// normalized FWHT over the largest power-of-two prefix (identity on the
/// remainder) → a full random permutation. Every factor is orthonormal on
/// `R^padded_dim`, so the composition preserves norms and inner products
/// exactly; inputs shorter than `padded_dim` (odd dims round up by one) are
/// zero-extended, which embeds them isometrically.
#[derive(Debug, Clone)]
pub struct TqRotation {
    input_dim: usize,
    padded_dim: usize,
    /// Largest power of two ≤ `padded_dim`: the per-round FWHT span.
    fwht_len: usize,
    /// +1.0 / -1.0 per coordinate, one strip per round.
    signs: Vec<f32>,
    /// `output[i] = mixed[perm[i]]`, one strip per round.
    perms: Vec<u32>,
}

impl TqRotation {
    pub fn new(input_dim: usize, seed: u64) -> Self {
        let padded_dim = tq_padded_dim(input_dim);
        let fwht_len = if padded_dim.is_power_of_two() {
            padded_dim
        } else {
            padded_dim.next_power_of_two() / 2
        };
        let mut state = seed;
        let mut signs = Vec::with_capacity(TQ_ROTATION_ROUNDS * padded_dim);
        let mut perms = Vec::with_capacity(TQ_ROTATION_ROUNDS * padded_dim);
        for _ in 0..TQ_ROTATION_ROUNDS {
            signs.extend((0..padded_dim).map(|_| {
                if splitmix64(&mut state) & 1 == 1 {
                    1.0f32
                } else {
                    -1.0f32
                }
            }));
            let round_base = perms.len();
            perms.extend(0..padded_dim as u32);
            for i in (1..padded_dim).rev() {
                let j = (splitmix64(&mut state) % (i as u64 + 1)) as usize;
                perms.swap(round_base + i, round_base + j);
            }
        }
        Self {
            input_dim,
            padded_dim,
            fwht_len,
            signs,
            perms,
        }
    }

    #[inline]
    pub fn padded_dim(&self) -> usize {
        self.padded_dim
    }

    /// Rotate `input` (length `input_dim`, or `padded_dim` for already-padded
    /// residuals) into `output` (length `padded_dim`). `scratch` is reused
    /// across calls to keep encoding allocation-free.
    pub fn apply(&self, input: &[f32], scratch: &mut Vec<f32>, output: &mut [f32]) {
        debug_assert!(input.len() == self.input_dim || input.len() == self.padded_dim);
        debug_assert_eq!(output.len(), self.padded_dim);
        let padded_dim = self.padded_dim;
        scratch.clear();
        scratch.resize(padded_dim, 0.0);
        // Round 0 reads straight from the (implicitly zero-extended) input;
        // later rounds ping-pong between `output` and `scratch`.
        let signs = &self.signs[..padded_dim];
        for (slot, (sign, index)) in scratch.iter_mut().zip(signs.iter().zip(0..)) {
            *slot = input.get(index).copied().unwrap_or(0.0) * sign;
        }
        fwht_normalized(&mut scratch[..self.fwht_len]);
        let perm = &self.perms[..padded_dim];
        for (slot, &source) in output.iter_mut().zip(perm) {
            *slot = scratch[source as usize];
        }
        for round in 1..TQ_ROTATION_ROUNDS {
            let signs = &self.signs[round * padded_dim..(round + 1) * padded_dim];
            for (slot, (&value, sign)) in scratch.iter_mut().zip(output.iter().zip(signs)) {
                *slot = value * sign;
            }
            fwht_normalized(&mut scratch[..self.fwht_len]);
            let perm = &self.perms[round * padded_dim..(round + 1) * padded_dim];
            for (slot, &source) in output.iter_mut().zip(perm) {
                *slot = scratch[source as usize];
            }
        }
    }
}

/// In-place normalized fast Walsh-Hadamard transform (`len` a power of two).
fn fwht_normalized(values: &mut [f32]) {
    let len = values.len();
    debug_assert!(len.is_power_of_two());
    let mut step = 1;
    while step < len {
        let mut base = 0;
        while base < len {
            let (left_half, right_half) = values[base..base + step * 2].split_at_mut(step);
            for (left, right) in left_half.iter_mut().zip(right_half.iter_mut()) {
                let sum = *left + *right;
                let difference = *left - *right;
                *left = sum;
                *right = difference;
            }
            base += step * 2;
        }
        step *= 2;
    }
    let scale = 1.0 / (len as f32).sqrt();
    for value in values.iter_mut() {
        *value *= scale;
    }
}

/// Analytic 3-bit Lloyd-Max codebook for the marginal density of one
/// coordinate of a uniform unit vector in `R^padded_dim`:
/// `f(t) ∝ (1 - t²)^((padded_dim - 3) / 2)` on `[-1, 1]`.
#[derive(Debug, Clone)]
pub struct TqCodebook {
    levels: [f32; TQ_STAGE1_LEVELS],
    /// Decision boundaries between adjacent levels (midpoints).
    boundaries: [f32; TQ_STAGE1_LEVELS - 1],
}

impl TqCodebook {
    pub fn analytic(padded_dim: usize) -> Self {
        assert!(
            padded_dim >= TQ_MIN_PADDED_DIM,
            "TQ codebook requires padded_dim >= {TQ_MIN_PADDED_DIM}, got {padded_dim}"
        );
        let exponent = (padded_dim as f64 - 3.0) / 2.0;
        let cell = 2.0 / TQ_LLOYD_GRID as f64;
        // Grid midpoints and their density weights over [-1, 1].
        // Heap-allocated: two [f64; 8192] frames (~128 KiB) would risk stack
        // overflow on constrained runtimes (WASM readers, worker threads).
        let mut weights = vec![0.0f64; TQ_LLOYD_GRID];
        let mut positions = vec![0.0f64; TQ_LLOYD_GRID];
        for index in 0..TQ_LLOYD_GRID {
            let t = -1.0 + (index as f64 + 0.5) * cell;
            positions[index] = t;
            let log_density = exponent * (1.0 - t * t).max(f64::MIN_POSITIVE).ln();
            weights[index] = log_density.exp();
        }

        // Initialize boundaries at equal-mass quantiles.
        let total_mass: f64 = weights.iter().sum();
        let mut levels = [0.0f64; TQ_STAGE1_LEVELS];
        let mut boundaries = [0.0f64; TQ_STAGE1_LEVELS - 1];
        let mut accumulated = 0.0f64;
        let mut next_boundary = 0usize;
        for index in 0..TQ_LLOYD_GRID {
            accumulated += weights[index];
            while next_boundary < TQ_STAGE1_LEVELS - 1
                && accumulated
                    >= total_mass * (next_boundary as f64 + 1.0) / TQ_STAGE1_LEVELS as f64
            {
                boundaries[next_boundary] = positions[index];
                next_boundary += 1;
            }
        }

        // Lloyd-Max: centroids are density-weighted means of their cell,
        // boundaries are midpoints of adjacent centroids.
        for _ in 0..TQ_LLOYD_MAX_ITERATIONS {
            let mut mass = [0.0f64; TQ_STAGE1_LEVELS];
            let mut moment = [0.0f64; TQ_STAGE1_LEVELS];
            let mut bucket = 0usize;
            for index in 0..TQ_LLOYD_GRID {
                let t = positions[index];
                while bucket < TQ_STAGE1_LEVELS - 1 && t > boundaries[bucket] {
                    bucket += 1;
                }
                mass[bucket] += weights[index];
                moment[bucket] += weights[index] * t;
            }
            let mut shift = 0.0f64;
            for level in 0..TQ_STAGE1_LEVELS {
                if mass[level] > 0.0 {
                    let updated = moment[level] / mass[level];
                    shift = shift.max((updated - levels[level]).abs());
                    levels[level] = updated;
                }
            }
            for boundary in 0..TQ_STAGE1_LEVELS - 1 {
                boundaries[boundary] = 0.5 * (levels[boundary] + levels[boundary + 1]);
            }
            if shift < TQ_LLOYD_TOLERANCE {
                break;
            }
        }

        // The density is even, so the optimal codebook is exactly symmetric;
        // grid discretization leaves ~1e-4 asymmetry. Symmetrize so the
        // central decision boundary is exactly zero.
        for index in 0..TQ_STAGE1_LEVELS / 2 {
            let magnitude = 0.5 * (levels[TQ_STAGE1_LEVELS - 1 - index] - levels[index]);
            levels[index] = -magnitude;
            levels[TQ_STAGE1_LEVELS - 1 - index] = magnitude;
        }
        for boundary in 0..TQ_STAGE1_LEVELS - 1 {
            boundaries[boundary] = 0.5 * (levels[boundary] + levels[boundary + 1]);
        }

        Self {
            levels: levels.map(|level| level as f32),
            boundaries: boundaries.map(|boundary| boundary as f32),
        }
    }

    /// 3-bit code of the nearest level.
    #[inline]
    pub fn encode_coordinate(&self, value: f32) -> u8 {
        let mut code = 0u8;
        for &boundary in &self.boundaries {
            code += u8::from(value > boundary);
        }
        code
    }
}

/// Complete TQ codec for one field dimension. Cheap to build (sub-millisecond)
/// and immutable; share via `Arc` per open segment.
#[derive(Debug, Clone)]
pub struct TqCodec {
    dim: usize,
    padded_dim: usize,
    stage1_rotation: TqRotation,
    qjl_rotation: TqRotation,
    codebook: TqCodebook,
    /// `sqrt(π/2) / sqrt(padded_dim)`: QJL correction for an orthonormal sketch.
    qjl_scale: f32,
    fingerprint: u64,
}

impl TqCodec {
    pub fn new(dim: usize) -> Self {
        assert!(dim > 0, "TQ codec requires a non-zero dimension");
        let stage1_rotation = TqRotation::new(dim, TQ_STAGE1_SEED);
        let padded_dim = stage1_rotation.padded_dim();
        let qjl_rotation = TqRotation::new(padded_dim, TQ_QJL_SEED);
        debug_assert_eq!(qjl_rotation.padded_dim(), padded_dim);
        let codebook = TqCodebook::analytic(padded_dim);
        let qjl_scale = (std::f64::consts::PI / 2.0).sqrt() as f32 / (padded_dim as f32).sqrt();
        let fingerprint = tq_fingerprint(dim, padded_dim);
        Self {
            dim,
            padded_dim,
            stage1_rotation,
            qjl_rotation,
            codebook,
            qjl_scale,
            fingerprint,
        }
    }

    #[inline]
    pub fn dim(&self) -> usize {
        self.dim
    }

    #[inline]
    pub fn padded_dim(&self) -> usize {
        self.padded_dim
    }

    /// Logical bytes per vector (two 4-bit coordinates per byte).
    #[inline]
    pub fn code_size(&self) -> usize {
        self.padded_dim / 2
    }

    /// Deterministic compatibility fingerprint carried as `quantizer_version`.
    #[inline]
    pub fn fingerprint(&self) -> u64 {
        self.fingerprint
    }

    /// Heap footprint: two rotations (signs f32 + perm u32 per padded coord)
    /// plus the fixed-size codebook.
    pub fn estimated_memory_bytes(&self) -> usize {
        2 * self.padded_dim * (size_of::<f32>() + size_of::<u32>()) + size_of::<TqCodebook>()
    }

    /// Encode one vector into `nibbles` (one 0..=15 value per padded
    /// coordinate) and return `gamma`. The vector is normalized internally;
    /// zero vectors encode as all-zero nibbles with `gamma = 0`.
    pub fn encode_into(
        &self,
        vector: &[f32],
        nibbles: &mut [u8],
        scratch: &mut TqEncodeScratch,
    ) -> f32 {
        self.encode_residual_into(vector, nibbles, scratch).1
    }

    /// Encode one (possibly non-unit) vector as `scale · unit_direction` and
    /// return `(scale = ‖vector‖₂, gamma)`. IVF leaves store centroid
    /// residuals, whose norms carry ranking information; `scale` restores it
    /// at score time. Zero vectors encode as all-zero nibbles with
    /// `scale = gamma = 0`.
    pub fn encode_residual_into(
        &self,
        vector: &[f32],
        nibbles: &mut [u8],
        scratch: &mut TqEncodeScratch,
    ) -> (f32, f32) {
        assert_eq!(vector.len(), self.dim, "TQ encode dimension mismatch");
        assert_eq!(nibbles.len(), self.padded_dim, "TQ nibble buffer mismatch");
        let norm = crate::structures::simd::dot_product_f32(vector, vector, vector.len()).sqrt();
        if !norm.is_finite() || norm <= 0.0 {
            nibbles.fill(0);
            return (0.0, 0.0);
        }
        scratch.normalized.clear();
        scratch
            .normalized
            .extend(vector.iter().map(|value| value / norm));

        scratch.rotated.resize(self.padded_dim, 0.0);
        let (normalized, rotated, fwht) =
            (&scratch.normalized, &mut scratch.rotated, &mut scratch.fwht);
        self.stage1_rotation.apply(normalized, fwht, rotated);

        // Stage-1 codes and residual (in stage-1 rotated space).
        scratch.residual.resize(self.padded_dim, 0.0);
        let mut residual_norm_sq = 0.0f32;
        for ((&value, nibble), residual_slot) in scratch
            .rotated
            .iter()
            .zip(nibbles.iter_mut())
            .zip(scratch.residual.iter_mut())
        {
            let code = self.codebook.encode_coordinate(value);
            *nibble = code << 1;
            let residual = value - self.codebook.levels[code as usize];
            *residual_slot = residual;
            residual_norm_sq += residual * residual;
        }

        // QJL sign bits of the rotated residual.
        scratch.rotated_residual.resize(self.padded_dim, 0.0);
        let (residual, rotated_residual, fwht) = (
            &scratch.residual,
            &mut scratch.rotated_residual,
            &mut scratch.fwht,
        );
        self.qjl_rotation.apply(residual, fwht, rotated_residual);
        for (nibble, &rotated) in nibbles.iter_mut().zip(scratch.rotated_residual.iter()) {
            *nibble |= u8::from(rotated >= 0.0);
        }
        (norm, residual_norm_sq.sqrt())
    }
}

/// Reusable per-thread encode buffers (hot-path allocation hygiene).
#[derive(Debug, Default)]
pub struct TqEncodeScratch {
    normalized: Vec<f32>,
    rotated: Vec<f32>,
    residual: Vec<f32>,
    rotated_residual: Vec<f32>,
    fwht: Vec<f32>,
}

fn tq_fingerprint(dim: usize, padded_dim: usize) -> u64 {
    let mut hash = 0xcbf2_9ce4_8422_2325u64; // FNV-1a offset basis
    let mut mix = |bytes: &[u8]| {
        for &byte in bytes {
            hash ^= u64::from(byte);
            hash = hash.wrapping_mul(0x0000_0100_0000_01b3);
        }
    };
    mix(b"hermes-tq");
    mix(&TQ_CODEC_VERSION.to_le_bytes());
    mix(&TQ_BITS.to_le_bytes());
    mix(&(dim as u64).to_le_bytes());
    mix(&(padded_dim as u64).to_le_bytes());
    mix(&TQ_STAGE1_SEED.to_le_bytes());
    mix(&TQ_QJL_SEED.to_le_bytes());
    if hash == 0 { 1 } else { hash }
}

// ---------------------------------------------------------------------------
// Query plan and block scoring
// ---------------------------------------------------------------------------

/// Per-query LUTs: `padded_dim × 16` i8 tables (globally-scaled
/// quantizations) for the block kernels. The intermediate f32 tables are
/// dropped after quantization — they are not read on the search path.
pub struct TqQueryPlan {
    padded_dim: usize,
    fingerprint: u64,
    /// Exact query identity used to validate query-global plan caches.
    ///
    /// Keep the IEEE-754 bits rather than a hash: a `DenseVectorQuery` is
    /// cloneable and its public vector may be mutated while clones continue
    /// sharing the same cache. Exact bits make stale LUT reuse impossible,
    /// including for distinct NaN payloads and signed zero.
    query_bits: Box<[u32]>,
    base_lut_i8: Vec<i8>,
    qjl_lut_i8: Vec<i8>,
    base_dequant: f32,
    qjl_dequant: f32,
    /// Full-precision tables, retained for the reference estimator in tests.
    #[cfg(test)]
    reference_luts: (Vec<f32>, Vec<f32>),
}

impl std::fmt::Debug for TqQueryPlan {
    fn fmt(&self, formatter: &mut std::fmt::Formatter<'_>) -> std::fmt::Result {
        formatter
            .debug_struct("TqQueryPlan")
            .field("padded_dim", &self.padded_dim)
            .field("fingerprint", &self.fingerprint)
            .field("query_dim", &self.query_bits.len())
            .finish()
    }
}

impl TqQueryPlan {
    pub fn build(codec: &TqCodec, query: &[f32]) -> Self {
        assert_eq!(query.len(), codec.dim, "TQ query dimension mismatch");
        let padded_dim = codec.padded_dim;
        let norm = crate::structures::simd::dot_product_f32(query, query, query.len()).sqrt();
        let inverse_norm = if norm.is_finite() && norm > 0.0 {
            1.0 / norm
        } else {
            0.0
        };
        let normalized: Vec<f32> = query.iter().map(|value| value * inverse_norm).collect();
        let mut fwht = Vec::with_capacity(padded_dim);
        let mut rotated = vec![0.0f32; padded_dim];
        codec
            .stage1_rotation
            .apply(&normalized, &mut fwht, &mut rotated);
        let mut qjl_rotated = vec![0.0f32; padded_dim];
        codec
            .qjl_rotation
            .apply(&rotated, &mut fwht, &mut qjl_rotated);

        let mut base_lut = vec![0.0f32; padded_dim * 16];
        let mut qjl_lut = vec![0.0f32; padded_dim * 16];
        for dim in 0..padded_dim {
            for nibble in 0..16 {
                let level = codec.codebook.levels[nibble >> 1];
                let sign = if nibble & 1 == 1 { 1.0 } else { -1.0 };
                base_lut[dim * 16 + nibble] = rotated[dim] * level;
                qjl_lut[dim * 16 + nibble] = sign * codec.qjl_scale * qjl_rotated[dim];
            }
        }
        let (base_lut_i8, base_dequant) = quantize_lut(&base_lut);
        let (qjl_lut_i8, qjl_dequant) = quantize_lut(&qjl_lut);
        Self {
            padded_dim,
            fingerprint: codec.fingerprint,
            query_bits: query
                .iter()
                .map(|value| value.to_bits())
                .collect::<Vec<_>>()
                .into_boxed_slice(),
            base_lut_i8,
            qjl_lut_i8,
            base_dequant,
            qjl_dequant,
            #[cfg(test)]
            reference_luts: (base_lut, qjl_lut),
        }
    }

    #[inline]
    pub fn padded_dim(&self) -> usize {
        self.padded_dim
    }

    #[inline]
    pub fn fingerprint(&self) -> u64 {
        self.fingerprint
    }

    /// Whether these LUTs were built for this exact query.
    #[inline]
    pub(crate) fn matches_query(&self, query: &[f32]) -> bool {
        self.query_bits.len() == query.len()
            && self
                .query_bits
                .iter()
                .zip(query)
                .all(|(&bits, value)| bits == value.to_bits())
    }

    /// Reference f32 estimator over one unpacked nibble row (test oracle for
    /// the quantized block path).
    #[cfg(test)]
    pub(crate) fn estimate_row(&self, nibbles: &[u8], gamma: f32) -> f32 {
        debug_assert_eq!(nibbles.len(), self.padded_dim);
        let (base_lut, qjl_lut) = &self.reference_luts;
        let mut base = 0.0f32;
        let mut qjl = 0.0f32;
        for (dim, &nibble) in nibbles.iter().enumerate() {
            base += base_lut[dim * 16 + nibble as usize];
            qjl += qjl_lut[dim * 16 + nibble as usize];
        }
        base + gamma * qjl
    }
}

fn quantize_lut(values: &[f32]) -> (Vec<i8>, f32) {
    let max_abs = values
        .iter()
        .fold(0.0f32, |acc, &value| acc.max(value.abs()));
    if !max_abs.is_finite() || max_abs <= 0.0 {
        return (vec![0i8; values.len()], 0.0);
    }
    let quantize_scale = 127.0 / max_abs;
    let quantized = values
        .iter()
        .map(|&value| (value * quantize_scale).round().clamp(-127.0, 127.0) as i8)
        .collect();
    (quantized, max_abs / 127.0)
}

/// Score one block (16 lanes) into `scores`. `block` is
/// `[16 × f32 gamma][padded_dim × 8 packed nibbles]`; lanes past the run's
/// vector count hold zero padding and must be ignored by the caller.
pub fn tq_score_block(plan: &TqQueryPlan, block: &[u8], scores: &mut [f32; TQ_BLOCK_LANES]) {
    debug_assert_eq!(block.len(), tq_block_bytes(plan.padded_dim / 2));
    let (gamma_bytes, nibble_bytes) = block.split_at(TQ_BLOCK_LANES * size_of::<f32>());
    let mut base = [0i32; TQ_BLOCK_LANES];
    let mut qjl = [0i32; TQ_BLOCK_LANES];
    lut16::accumulate_block(
        &plan.base_lut_i8,
        &plan.qjl_lut_i8,
        nibble_bytes,
        plan.padded_dim,
        &mut base,
        &mut qjl,
    );
    for lane in 0..TQ_BLOCK_LANES {
        let gamma = f32::from_le_bytes(
            gamma_bytes[lane * 4..lane * 4 + 4]
                .try_into()
                .expect("gamma slice is 4 bytes"),
        );
        scores[lane] =
            base[lane] as f32 * plan.base_dequant + gamma * qjl[lane] as f32 * plan.qjl_dequant;
    }
}

/// Pack up to 16 nibble rows (+ gammas) into one block. Missing lanes are
/// zero-filled. `rows` are `padded_dim`-length 0..=15 values.
pub fn tq_pack_block(rows: &[&[u8]], gammas: &[f32], padded_dim: usize, output: &mut Vec<u8>) {
    assert!(rows.len() <= TQ_BLOCK_LANES && rows.len() == gammas.len());
    for lane in 0..TQ_BLOCK_LANES {
        let gamma = gammas.get(lane).copied().unwrap_or(0.0);
        output.extend_from_slice(&gamma.to_le_bytes());
    }
    pack_nibble_rows(rows, padded_dim, output);
}

/// Pack an IVF-TQ block: per-lane residual scales, gammas, then nibbles.
pub fn tq_pack_ivf_block(
    rows: &[&[u8]],
    scales: &[f32],
    gammas: &[f32],
    padded_dim: usize,
    output: &mut Vec<u8>,
) {
    assert!(rows.len() <= TQ_BLOCK_LANES && rows.len() == gammas.len());
    assert_eq!(scales.len(), gammas.len());
    for lane in 0..TQ_BLOCK_LANES {
        let scale = scales.get(lane).copied().unwrap_or(0.0);
        output.extend_from_slice(&scale.to_le_bytes());
    }
    for lane in 0..TQ_BLOCK_LANES {
        let gamma = gammas.get(lane).copied().unwrap_or(0.0);
        output.extend_from_slice(&gamma.to_le_bytes());
    }
    pack_nibble_rows(rows, padded_dim, output);
}

fn pack_nibble_rows(rows: &[&[u8]], padded_dim: usize, output: &mut Vec<u8>) {
    for dim in 0..padded_dim {
        for byte_index in 0..TQ_BLOCK_LANES / 2 {
            let low = rows.get(byte_index).map_or(0, |row| row[dim] & 0x0F);
            let high = rows
                .get(byte_index + TQ_BLOCK_LANES / 2)
                .map_or(0, |row| row[dim] & 0x0F);
            output.push(low | (high << 4));
        }
    }
}

/// Score one IVF-TQ block: `score[lane] = cluster_dot + scale · (base +
/// gamma · qjl)`, where `cluster_dot = ⟨normalized query, centroid⟩` is the
/// probed cluster's shared contribution and `scale = ‖residual‖`.
pub fn tq_score_ivf_block(
    plan: &TqQueryPlan,
    block: &[u8],
    cluster_dot: f32,
    scores: &mut [f32; TQ_BLOCK_LANES],
) {
    debug_assert_eq!(block.len(), tq_ivf_block_bytes(plan.padded_dim() / 2));
    let lane_f32 = TQ_BLOCK_LANES * size_of::<f32>();
    let (scale_bytes, rest) = block.split_at(lane_f32);
    let (gamma_bytes, nibble_bytes) = rest.split_at(lane_f32);
    let mut base = [0i32; TQ_BLOCK_LANES];
    let mut qjl = [0i32; TQ_BLOCK_LANES];
    lut16::accumulate_block(
        &plan.base_lut_i8,
        &plan.qjl_lut_i8,
        nibble_bytes,
        plan.padded_dim,
        &mut base,
        &mut qjl,
    );
    for lane in 0..TQ_BLOCK_LANES {
        let scale = f32::from_le_bytes(
            scale_bytes[lane * 4..lane * 4 + 4]
                .try_into()
                .expect("scale slice is 4 bytes"),
        );
        let gamma = f32::from_le_bytes(
            gamma_bytes[lane * 4..lane * 4 + 4]
                .try_into()
                .expect("gamma slice is 4 bytes"),
        );
        scores[lane] = cluster_dot
            + scale
                * (base[lane] as f32 * plan.base_dequant
                    + gamma * qjl[lane] as f32 * plan.qjl_dequant);
    }
}

mod lut16 {
    #[cfg(any(target_arch = "aarch64", target_arch = "x86_64"))]
    use super::TQ_ACCUMULATE_CHUNK_DIMS;
    use super::TQ_BLOCK_LANES;

    /// Accumulate both LUT sums for 16 lanes over all dimensions.
    /// `nibble_bytes` is dimension-major: 8 bytes per dimension, byte `j`
    /// holding lane `j` (low nibble) and lane `j + 8` (high nibble).
    pub(super) fn accumulate_block(
        base_lut: &[i8],
        qjl_lut: &[i8],
        nibble_bytes: &[u8],
        padded_dim: usize,
        base: &mut [i32; TQ_BLOCK_LANES],
        qjl: &mut [i32; TQ_BLOCK_LANES],
    ) {
        #[cfg(target_arch = "aarch64")]
        {
            // NEON is baseline on aarch64.
            unsafe { accumulate_block_neon(base_lut, qjl_lut, nibble_bytes, padded_dim, base, qjl) }
            return;
        }
        #[cfg(target_arch = "x86_64")]
        {
            if std::arch::is_x86_feature_detected!("avx2") {
                unsafe {
                    accumulate_block_avx2(base_lut, qjl_lut, nibble_bytes, padded_dim, base, qjl)
                }
                return;
            }
            if std::arch::is_x86_feature_detected!("ssse3") {
                unsafe {
                    accumulate_block_ssse3(base_lut, qjl_lut, nibble_bytes, padded_dim, base, qjl)
                }
                return;
            }
        }
        #[allow(unreachable_code)]
        accumulate_block_scalar(base_lut, qjl_lut, nibble_bytes, padded_dim, base, qjl);
    }

    /// Scalar fallback mirroring the SIMD integer arithmetic exactly
    /// (i8 lookups, i32 sums), so all paths agree bit-for-bit.
    pub(super) fn accumulate_block_scalar(
        base_lut: &[i8],
        qjl_lut: &[i8],
        nibble_bytes: &[u8],
        padded_dim: usize,
        base: &mut [i32; TQ_BLOCK_LANES],
        qjl: &mut [i32; TQ_BLOCK_LANES],
    ) {
        for dim in 0..padded_dim {
            let row = &nibble_bytes[dim * 8..dim * 8 + 8];
            let base_table = &base_lut[dim * 16..dim * 16 + 16];
            let qjl_table = &qjl_lut[dim * 16..dim * 16 + 16];
            for (lane, &byte) in row.iter().enumerate() {
                let low = (byte & 0x0F) as usize;
                let high = (byte >> 4) as usize;
                base[lane] += i32::from(base_table[low]);
                base[lane + 8] += i32::from(base_table[high]);
                qjl[lane] += i32::from(qjl_table[low]);
                qjl[lane + 8] += i32::from(qjl_table[high]);
            }
        }
    }

    #[cfg(target_arch = "aarch64")]
    #[target_feature(enable = "neon")]
    unsafe fn accumulate_block_neon(
        base_lut: &[i8],
        qjl_lut: &[i8],
        nibble_bytes: &[u8],
        padded_dim: usize,
        base: &mut [i32; TQ_BLOCK_LANES],
        qjl: &mut [i32; TQ_BLOCK_LANES],
    ) {
        use std::arch::aarch64::*;
        unsafe {
            let mask = vdup_n_u8(0x0F);
            let mut base_lo_i32 = [vdupq_n_s32(0); 4];
            let mut qjl_lo_i32 = [vdupq_n_s32(0); 4];
            let mut dim = 0;
            while dim < padded_dim {
                let chunk_end = (dim + TQ_ACCUMULATE_CHUNK_DIMS).min(padded_dim);
                let mut base_acc = [vdupq_n_s16(0); 2];
                let mut qjl_acc = [vdupq_n_s16(0); 2];
                while dim < chunk_end {
                    let row = vld1_u8(nibble_bytes.as_ptr().add(dim * 8));
                    let low = vand_u8(row, mask);
                    let high = vshr_n_u8::<4>(row);
                    let lanes = vcombine_u8(low, high);
                    let base_table = vld1q_s8(base_lut.as_ptr().add(dim * 16));
                    let qjl_table = vld1q_s8(qjl_lut.as_ptr().add(dim * 16));
                    let base_values =
                        vreinterpretq_s8_u8(vqtbl1q_u8(vreinterpretq_u8_s8(base_table), lanes));
                    let qjl_values =
                        vreinterpretq_s8_u8(vqtbl1q_u8(vreinterpretq_u8_s8(qjl_table), lanes));
                    base_acc[0] = vaddw_s8(base_acc[0], vget_low_s8(base_values));
                    base_acc[1] = vaddw_s8(base_acc[1], vget_high_s8(base_values));
                    qjl_acc[0] = vaddw_s8(qjl_acc[0], vget_low_s8(qjl_values));
                    qjl_acc[1] = vaddw_s8(qjl_acc[1], vget_high_s8(qjl_values));
                    dim += 1;
                }
                for half in 0..2 {
                    base_lo_i32[half * 2] =
                        vaddw_s16(base_lo_i32[half * 2], vget_low_s16(base_acc[half]));
                    base_lo_i32[half * 2 + 1] =
                        vaddw_s16(base_lo_i32[half * 2 + 1], vget_high_s16(base_acc[half]));
                    qjl_lo_i32[half * 2] =
                        vaddw_s16(qjl_lo_i32[half * 2], vget_low_s16(qjl_acc[half]));
                    qjl_lo_i32[half * 2 + 1] =
                        vaddw_s16(qjl_lo_i32[half * 2 + 1], vget_high_s16(qjl_acc[half]));
                }
            }
            for quarter in 0..4 {
                vst1q_s32(base.as_mut_ptr().add(quarter * 4), base_lo_i32[quarter]);
                vst1q_s32(qjl.as_mut_ptr().add(quarter * 4), qjl_lo_i32[quarter]);
            }
        }
    }

    /// AVX2: two dimensions per iteration. Adjacent dims' packed rows are
    /// contiguous (8 bytes each) and so are their 16-entry LUTs, so one 16-byte
    /// row load + one 32-byte LUT load + a 256-bit `vpshufb` covers both.
    #[cfg(target_arch = "x86_64")]
    #[target_feature(enable = "avx2")]
    unsafe fn accumulate_block_avx2(
        base_lut: &[i8],
        qjl_lut: &[i8],
        nibble_bytes: &[u8],
        padded_dim: usize,
        base: &mut [i32; TQ_BLOCK_LANES],
        qjl: &mut [i32; TQ_BLOCK_LANES],
    ) {
        use std::arch::x86_64::*;
        unsafe {
            let mask = _mm_set1_epi8(0x0F);
            let zero256 = _mm256_setzero_si256();
            let mut base_i32 = [zero256; 2];
            let mut qjl_i32 = [zero256; 2];
            let mut dim = 0;
            while dim < padded_dim {
                let chunk_end = (dim + TQ_ACCUMULATE_CHUNK_DIMS).min(padded_dim);
                let mut base_acc = zero256;
                let mut qjl_acc = zero256;
                while dim + 2 <= chunk_end {
                    // Bytes [dim*8, dim*8+16): rows for `dim` and `dim + 1`.
                    let rows = _mm_loadu_si128(nibble_bytes.as_ptr().add(dim * 8).cast());
                    let low = _mm_and_si128(rows, mask);
                    let high = _mm_and_si128(_mm_srli_epi16(rows, 4), mask);
                    // Lanes 0..16 of each dim: [low.q0 | high.q0], [low.q1 | high.q1].
                    let lanes_first = _mm_unpacklo_epi64(low, high);
                    let lanes_second = _mm_unpackhi_epi64(low, high);
                    let lanes = _mm256_inserti128_si256(
                        _mm256_castsi128_si256(lanes_first),
                        lanes_second,
                        1,
                    );
                    let base_tables = _mm256_loadu_si256(base_lut.as_ptr().add(dim * 16).cast());
                    let qjl_tables = _mm256_loadu_si256(qjl_lut.as_ptr().add(dim * 16).cast());
                    let base_values = _mm256_shuffle_epi8(base_tables, lanes);
                    let qjl_values = _mm256_shuffle_epi8(qjl_tables, lanes);
                    base_acc = _mm256_add_epi16(
                        base_acc,
                        _mm256_cvtepi8_epi16(_mm256_castsi256_si128(base_values)),
                    );
                    base_acc = _mm256_add_epi16(
                        base_acc,
                        _mm256_cvtepi8_epi16(_mm256_extracti128_si256(base_values, 1)),
                    );
                    qjl_acc = _mm256_add_epi16(
                        qjl_acc,
                        _mm256_cvtepi8_epi16(_mm256_castsi256_si128(qjl_values)),
                    );
                    qjl_acc = _mm256_add_epi16(
                        qjl_acc,
                        _mm256_cvtepi8_epi16(_mm256_extracti128_si256(qjl_values, 1)),
                    );
                    dim += 2;
                }
                // Odd remainder dim within the chunk.
                while dim < chunk_end {
                    let row = _mm_loadl_epi64(nibble_bytes.as_ptr().add(dim * 8).cast());
                    let low = _mm_and_si128(row, mask);
                    let high = _mm_and_si128(_mm_srli_epi16(row, 4), mask);
                    let lanes = _mm_unpacklo_epi64(low, high);
                    let base_table = _mm_loadu_si128(base_lut.as_ptr().add(dim * 16).cast());
                    let qjl_table = _mm_loadu_si128(qjl_lut.as_ptr().add(dim * 16).cast());
                    base_acc = _mm256_add_epi16(
                        base_acc,
                        _mm256_cvtepi8_epi16(_mm_shuffle_epi8(base_table, lanes)),
                    );
                    qjl_acc = _mm256_add_epi16(
                        qjl_acc,
                        _mm256_cvtepi8_epi16(_mm_shuffle_epi8(qjl_table, lanes)),
                    );
                    dim += 1;
                }
                for (accumulators, chunk) in [(&mut base_i32, base_acc), (&mut qjl_i32, qjl_acc)] {
                    accumulators[0] = _mm256_add_epi32(
                        accumulators[0],
                        _mm256_cvtepi16_epi32(_mm256_castsi256_si128(chunk)),
                    );
                    accumulators[1] = _mm256_add_epi32(
                        accumulators[1],
                        _mm256_cvtepi16_epi32(_mm256_extracti128_si256(chunk, 1)),
                    );
                }
            }
            _mm256_storeu_si256(base.as_mut_ptr().cast(), base_i32[0]);
            _mm256_storeu_si256(base.as_mut_ptr().add(8).cast(), base_i32[1]);
            _mm256_storeu_si256(qjl.as_mut_ptr().cast(), qjl_i32[0]);
            _mm256_storeu_si256(qjl.as_mut_ptr().add(8).cast(), qjl_i32[1]);
        }
    }

    #[cfg(target_arch = "x86_64")]
    #[target_feature(enable = "ssse3")]
    unsafe fn accumulate_block_ssse3(
        base_lut: &[i8],
        qjl_lut: &[i8],
        nibble_bytes: &[u8],
        padded_dim: usize,
        base: &mut [i32; TQ_BLOCK_LANES],
        qjl: &mut [i32; TQ_BLOCK_LANES],
    ) {
        use std::arch::x86_64::*;
        unsafe {
            let mask = _mm_set1_epi8(0x0F);
            let zero = _mm_setzero_si128();
            let mut base_i32 = [zero; 4];
            let mut qjl_i32 = [zero; 4];
            let mut dim = 0;
            while dim < padded_dim {
                let chunk_end = (dim + TQ_ACCUMULATE_CHUNK_DIMS).min(padded_dim);
                let mut base_acc = [zero; 2];
                let mut qjl_acc = [zero; 2];
                while dim < chunk_end {
                    let row = _mm_loadl_epi64(nibble_bytes.as_ptr().add(dim * 8).cast());
                    let low = _mm_and_si128(row, mask);
                    let high = _mm_and_si128(_mm_srli_epi16(row, 4), mask);
                    let lanes = _mm_unpacklo_epi64(low, high);
                    let base_table = _mm_loadu_si128(base_lut.as_ptr().add(dim * 16).cast());
                    let qjl_table = _mm_loadu_si128(qjl_lut.as_ptr().add(dim * 16).cast());
                    let base_values = _mm_shuffle_epi8(base_table, lanes);
                    let qjl_values = _mm_shuffle_epi8(qjl_table, lanes);
                    // Sign-extend i8 → i16 without SSE4.1: compare-based sign mask.
                    let base_sign = _mm_cmpgt_epi8(zero, base_values);
                    let qjl_sign = _mm_cmpgt_epi8(zero, qjl_values);
                    base_acc[0] =
                        _mm_add_epi16(base_acc[0], _mm_unpacklo_epi8(base_values, base_sign));
                    base_acc[1] =
                        _mm_add_epi16(base_acc[1], _mm_unpackhi_epi8(base_values, base_sign));
                    qjl_acc[0] = _mm_add_epi16(qjl_acc[0], _mm_unpacklo_epi8(qjl_values, qjl_sign));
                    qjl_acc[1] = _mm_add_epi16(qjl_acc[1], _mm_unpackhi_epi8(qjl_values, qjl_sign));
                    dim += 1;
                }
                for half in 0..2 {
                    let base_sign = _mm_cmpgt_epi16(zero, base_acc[half]);
                    let qjl_sign = _mm_cmpgt_epi16(zero, qjl_acc[half]);
                    base_i32[half * 2] = _mm_add_epi32(
                        base_i32[half * 2],
                        _mm_unpacklo_epi16(base_acc[half], base_sign),
                    );
                    base_i32[half * 2 + 1] = _mm_add_epi32(
                        base_i32[half * 2 + 1],
                        _mm_unpackhi_epi16(base_acc[half], base_sign),
                    );
                    qjl_i32[half * 2] = _mm_add_epi32(
                        qjl_i32[half * 2],
                        _mm_unpacklo_epi16(qjl_acc[half], qjl_sign),
                    );
                    qjl_i32[half * 2 + 1] = _mm_add_epi32(
                        qjl_i32[half * 2 + 1],
                        _mm_unpackhi_epi16(qjl_acc[half], qjl_sign),
                    );
                }
            }
            for quarter in 0..4 {
                _mm_storeu_si128(base.as_mut_ptr().add(quarter * 4).cast(), base_i32[quarter]);
                _mm_storeu_si128(qjl.as_mut_ptr().add(quarter * 4).cast(), qjl_i32[quarter]);
            }
        }
    }
}

// ---------------------------------------------------------------------------
// Segment build support
// ---------------------------------------------------------------------------

/// Streaming builder for one segment's TQ payload: doc/ordinal columns plus a
/// block-packed codes column ready for `ann_disk` serialization.
#[cfg(feature = "native")]
pub struct TqFlatBuilder {
    codec: std::sync::Arc<TqCodec>,
    pub doc_ids: Vec<u32>,
    pub ordinals: Vec<u16>,
    pub codes: Vec<u8>,
    pending_rows: Vec<Vec<u8>>,
    pending_gammas: Vec<f32>,
}

#[cfg(feature = "native")]
impl TqFlatBuilder {
    pub fn new(codec: std::sync::Arc<TqCodec>) -> Self {
        Self {
            codec,
            doc_ids: Vec::new(),
            ordinals: Vec::new(),
            codes: Vec::new(),
            pending_rows: Vec::with_capacity(TQ_BLOCK_LANES),
            pending_gammas: Vec::with_capacity(TQ_BLOCK_LANES),
        }
    }

    #[inline]
    pub fn codec(&self) -> &TqCodec {
        &self.codec
    }

    #[inline]
    pub fn len(&self) -> usize {
        self.doc_ids.len()
    }

    #[inline]
    pub fn is_empty(&self) -> bool {
        self.doc_ids.is_empty()
    }

    /// Encode one contiguous `(labels, vectors)` batch in parallel while
    /// preserving input order (lane order must match the doc-ID column).
    pub fn add_batch(
        &mut self,
        labels: &[(u32, u16)],
        vectors: &[f32],
    ) -> Result<(), &'static str> {
        use rayon::prelude::*;

        let dim = self.codec.dim();
        let vector_count = labels.len();
        let expected = vector_count
            .checked_mul(dim)
            .ok_or("TQ input size overflow")?;
        if vectors.len() != expected {
            return Err("TQ vector and label matrices are inconsistent");
        }
        let padded_dim = self.codec.padded_dim();
        let codec = std::sync::Arc::clone(&self.codec);
        // One contiguous nibble matrix instead of a Vec per vector: each
        // Rayon task writes its disjoint row range (allocation hygiene on
        // the ingest/merge path).
        let mut rows = vec![0u8; vector_count * padded_dim];
        let mut gammas = vec![0.0f32; vector_count];
        vectors
            .par_chunks_exact(dim)
            .zip(rows.par_chunks_exact_mut(padded_dim))
            .zip(gammas.par_iter_mut())
            .for_each_init(
                TqEncodeScratch::default,
                |scratch, ((vector, row), gamma)| {
                    *gamma = codec.encode_into(vector, row, scratch);
                },
            );

        // Top up a carried-over partial block, pack full blocks straight from
        // the contiguous matrix (no per-row copies), and carry the tail.
        let mut index = 0;
        while index < vector_count && !self.pending_rows.is_empty() {
            let (doc_id, ordinal) = labels[index];
            self.doc_ids.push(doc_id);
            self.ordinals.push(ordinal);
            self.pending_rows
                .push(rows[index * padded_dim..(index + 1) * padded_dim].to_vec());
            self.pending_gammas.push(gammas[index]);
            if self.pending_rows.len() == TQ_BLOCK_LANES {
                self.flush_block();
            }
            index += 1;
        }
        while vector_count - index >= TQ_BLOCK_LANES {
            let row_refs: Vec<&[u8]> = (0..TQ_BLOCK_LANES)
                .map(|lane| {
                    let row = index + lane;
                    &rows[row * padded_dim..(row + 1) * padded_dim]
                })
                .collect();
            tq_pack_block(
                &row_refs,
                &gammas[index..index + TQ_BLOCK_LANES],
                padded_dim,
                &mut self.codes,
            );
            for &(doc_id, ordinal) in &labels[index..index + TQ_BLOCK_LANES] {
                self.doc_ids.push(doc_id);
                self.ordinals.push(ordinal);
            }
            index += TQ_BLOCK_LANES;
        }
        for row in index..vector_count {
            let (doc_id, ordinal) = labels[row];
            self.doc_ids.push(doc_id);
            self.ordinals.push(ordinal);
            self.pending_rows
                .push(rows[row * padded_dim..(row + 1) * padded_dim].to_vec());
            self.pending_gammas.push(gammas[row]);
        }
        Ok(())
    }

    fn flush_block(&mut self) {
        let rows: Vec<&[u8]> = self.pending_rows.iter().map(Vec::as_slice).collect();
        tq_pack_block(
            &rows,
            &self.pending_gammas,
            self.codec.padded_dim(),
            &mut self.codes,
        );
        self.pending_rows.clear();
        self.pending_gammas.clear();
    }

    /// Flush the trailing partial block (zero-padded lanes).
    pub fn finish(&mut self) {
        if !self.pending_rows.is_empty() {
            self.flush_block();
        }
        debug_assert_eq!(
            self.codes.len(),
            tq_codes_column_len(self.doc_ids.len(), self.codec.code_size())
        );
    }
}

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

    fn seeded_unit_vector(dim: usize, seed: u64) -> Vec<f32> {
        // Box-Muller from splitmix64 for an isotropic direction.
        let mut state = seed;
        let mut values: Vec<f32> = (0..dim)
            .map(|_| {
                let a = (splitmix64(&mut state) >> 11) as f64 / (1u64 << 53) as f64;
                let b = (splitmix64(&mut state) >> 11) as f64 / (1u64 << 53) as f64;
                let gaussian = (-2.0 * (1.0 - a).max(f64::MIN_POSITIVE).ln()).sqrt()
                    * (2.0 * std::f64::consts::PI * b).cos();
                gaussian as f32
            })
            .collect();
        let norm = values.iter().map(|v| v * v).sum::<f32>().sqrt();
        values.iter_mut().for_each(|v| *v /= norm);
        values
    }

    #[test]
    fn rotation_is_orthonormal_and_deterministic() {
        let rotation = TqRotation::new(100, 42);
        assert_eq!(rotation.padded_dim(), 100);
        let mut fwht_scratch = Vec::new();
        let mut probe = vec![0.0f32; 100];
        // Odd dims round up by one zero coordinate.
        assert_eq!(TqRotation::new(99, 42).padded_dim(), 100);
        TqRotation::new(99, 42).apply(&vec![1.0; 99], &mut fwht_scratch, &mut probe);
        let input = seeded_unit_vector(100, 7);
        let mut fwht = Vec::new();
        let mut output = vec![0.0f32; 100];
        rotation.apply(&input, &mut fwht, &mut output);
        let norm: f32 = output.iter().map(|v| v * v).sum();
        assert!(
            (norm - 1.0).abs() < 1e-5,
            "rotation must preserve norm, got {norm}"
        );

        let mut second = vec![0.0f32; 100];
        TqRotation::new(100, 42).apply(&input, &mut fwht, &mut second);
        assert_eq!(output, second, "rotation must be deterministic");

        // Distinct inputs keep their inner product (isometry).
        let other = seeded_unit_vector(100, 8);
        let mut other_rotated = vec![0.0f32; 100];
        rotation.apply(&other, &mut fwht, &mut other_rotated);
        let dot_before: f32 = input.iter().zip(&other).map(|(a, b)| a * b).sum();
        let dot_after: f32 = output.iter().zip(&other_rotated).map(|(a, b)| a * b).sum();
        assert!(
            (dot_before - dot_after).abs() < 1e-4,
            "rotation must preserve inner products: {dot_before} vs {dot_after}"
        );
    }

    #[test]
    fn analytic_codebook_is_symmetric_and_monotonic() {
        for padded_dim in [8, 128, 1024] {
            let codebook = TqCodebook::analytic(padded_dim);
            let levels = &codebook.levels;
            for pair in levels.windows(2) {
                assert!(pair[0] < pair[1], "levels must be strictly increasing");
            }
            for index in 0..TQ_STAGE1_LEVELS / 2 {
                assert_eq!(
                    levels[index],
                    -levels[TQ_STAGE1_LEVELS - 1 - index],
                    "levels must be exactly symmetric for P={padded_dim}: {levels:?}"
                );
            }
            assert!(levels[TQ_STAGE1_LEVELS - 1] < 1.0);
            // Coordinates concentrate near ±1/sqrt(P); the top level must be
            // on that scale, not at the interval edge.
            let scale = 1.0 / (padded_dim as f32).sqrt();
            assert!(
                levels[TQ_STAGE1_LEVELS - 1] < 6.0 * scale,
                "top level {} is implausibly large for P={padded_dim}",
                levels[TQ_STAGE1_LEVELS - 1]
            );
        }
    }

    #[test]
    fn encode_coordinate_matches_nearest_level() {
        let codebook = TqCodebook::analytic(256);
        for step in -1000i32..=1000 {
            let value = step as f32 / 1000.0;
            let code = codebook.encode_coordinate(value) as usize;
            let nearest = codebook
                .levels
                .iter()
                .enumerate()
                .min_by(|a, b| (a.1 - value).abs().total_cmp(&(b.1 - value).abs()))
                .unwrap()
                .0;
            assert_eq!(
                code, nearest,
                "value {value} coded {code}, nearest {nearest}"
            );
        }
    }

    #[test]
    fn estimator_is_unbiased_and_tight() {
        let dim = 96;
        let codec = TqCodec::new(dim);
        let mut scratch = TqEncodeScratch::default();
        let mut nibbles = vec![0u8; codec.padded_dim()];

        let pairs = 512;
        let mut signed_error_sum = 0.0f64;
        let mut squared_error_sum = 0.0f64;
        let mut stage1_signed_error_sum = 0.0f64;
        for pair in 0..pairs {
            let vector = seeded_unit_vector(dim, 1000 + pair);
            let query = seeded_unit_vector(dim, 900_000 + pair);
            let gamma = codec.encode_into(&vector, &mut nibbles, &mut scratch);
            let plan = TqQueryPlan::build(&codec, &query);
            let estimate = plan.estimate_row(&nibbles, gamma);
            let stage1_only = plan.estimate_row(&nibbles, 0.0);
            let truth: f32 = vector.iter().zip(&query).map(|(a, b)| a * b).sum();
            signed_error_sum += f64::from(estimate - truth);
            squared_error_sum += f64::from(estimate - truth).powi(2);
            stage1_signed_error_sum += f64::from(stage1_only - truth);
        }
        let mean_error = signed_error_sum / pairs as f64;
        let rmse = (squared_error_sum / pairs as f64).sqrt();
        let stage1_mean_error = stage1_signed_error_sum / pairs as f64;
        assert!(
            mean_error.abs() < 3e-3,
            "QJL-corrected estimator must be unbiased: mean error {mean_error}"
        );
        assert!(rmse < 0.05, "estimator RMSE too large: {rmse}");
        assert!(
            mean_error.abs() <= stage1_mean_error.abs() + 1e-4,
            "QJL correction must not increase bias: {mean_error} vs stage-1 {stage1_mean_error}"
        );
    }

    #[test]
    fn block_scoring_matches_row_estimates() {
        let dim = 100;
        let codec = TqCodec::new(dim);
        let mut scratch = TqEncodeScratch::default();
        let query = seeded_unit_vector(dim, 3);
        let plan = TqQueryPlan::build(&codec, &query);

        let lanes = 13; // deliberately partial block
        let mut rows = Vec::new();
        let mut gammas = Vec::new();
        for lane in 0..lanes {
            let vector = seeded_unit_vector(dim, 50 + lane as u64);
            let mut nibbles = vec![0u8; codec.padded_dim()];
            let gamma = codec.encode_into(&vector, &mut nibbles, &mut scratch);
            rows.push(nibbles);
            gammas.push(gamma);
        }
        let row_refs: Vec<&[u8]> = rows.iter().map(Vec::as_slice).collect();
        let mut block = Vec::new();
        tq_pack_block(&row_refs, &gammas, codec.padded_dim(), &mut block);
        assert_eq!(block.len(), tq_block_bytes(codec.code_size()));

        let mut scores = [0.0f32; TQ_BLOCK_LANES];
        tq_score_block(&plan, &block, &mut scores);
        for lane in 0..lanes {
            let expected = plan.estimate_row(&rows[lane], gammas[lane]);
            // The block path uses i8 LUTs; agreement is approximate.
            assert!(
                (scores[lane] - expected).abs() < 0.02,
                "lane {lane}: block score {} vs row estimate {expected}",
                scores[lane]
            );
        }
    }

    #[test]
    fn simd_accumulation_matches_scalar_reference_exactly() {
        let padded_dim = 192; // not a multiple of the widen chunk
        let mut state = 99u64;
        let mut base_lut = vec![0i8; padded_dim * 16];
        let mut qjl_lut = vec![0i8; padded_dim * 16];
        for value in base_lut.iter_mut().chain(qjl_lut.iter_mut()) {
            *value = (splitmix64(&mut state) as i32 % 255 - 127) as i8;
        }
        let mut nibble_bytes = vec![0u8; padded_dim * 8];
        for byte in nibble_bytes.iter_mut() {
            *byte = splitmix64(&mut state) as u8;
        }

        let mut base_reference = [0i32; TQ_BLOCK_LANES];
        let mut qjl_reference = [0i32; TQ_BLOCK_LANES];
        lut16::accumulate_block_scalar(
            &base_lut,
            &qjl_lut,
            &nibble_bytes,
            padded_dim,
            &mut base_reference,
            &mut qjl_reference,
        );
        let mut base_dispatch = [0i32; TQ_BLOCK_LANES];
        let mut qjl_dispatch = [0i32; TQ_BLOCK_LANES];
        lut16::accumulate_block(
            &base_lut,
            &qjl_lut,
            &nibble_bytes,
            padded_dim,
            &mut base_dispatch,
            &mut qjl_dispatch,
        );
        assert_eq!(
            base_reference, base_dispatch,
            "base sums must match exactly"
        );
        assert_eq!(qjl_reference, qjl_dispatch, "qjl sums must match exactly");
    }

    #[test]
    fn fingerprint_pins_codec_constants() {
        let codec = TqCodec::new(768);
        assert_eq!(codec.padded_dim(), 768, "codec v2 is padding-free");
        assert_eq!(codec.code_size(), 384);
        assert_ne!(codec.fingerprint(), 0);
        assert_eq!(codec.fingerprint(), TqCodec::new(768).fingerprint());
        assert_ne!(codec.fingerprint(), TqCodec::new(769).fingerprint());
        // Golden value: the fingerprint is persisted as quantizer_version in
        // every TQ segment. Any change to the hash, seeds, or codec constants
        // MUST bump TQ_CODEC_VERSION — never silently re-derive.
        assert_eq!(
            codec.fingerprint(),
            GOLDEN_FINGERPRINT_768,
            "TQ fingerprint for dim 768 changed; existing segments would be \
             rejected. Bump TQ_CODEC_VERSION deliberately instead."
        );
    }

    #[test]
    fn query_plan_identity_uses_exact_float_bits() {
        let codec = TqCodec::new(4);
        let query = [0.0, -0.0, 1.0, f32::from_bits(0x7fc0_0001)];
        let plan = TqQueryPlan::build(&codec, &query);

        assert!(plan.matches_query(&query));
        assert!(!plan.matches_query(&query[..3]));

        let mut different_zero = query;
        different_zero[1] = 0.0;
        assert!(!plan.matches_query(&different_zero));

        let mut different_nan = query;
        different_nan[3] = f32::from_bits(0x7fc0_0002);
        assert!(!plan.matches_query(&different_nan));
    }

    const GOLDEN_FINGERPRINT_768: u64 = 7026088428300072418;

    #[cfg(feature = "native")]
    #[test]
    fn builder_packs_blocks_in_input_order() {
        let dim = 32;
        let codec = std::sync::Arc::new(TqCodec::new(dim));
        let mut builder = TqFlatBuilder::new(std::sync::Arc::clone(&codec));
        let count = 37; // two full blocks + partial
        let labels: Vec<(u32, u16)> = (0..count).map(|i| (i as u32, (i % 3) as u16)).collect();
        let mut vectors = Vec::new();
        for i in 0..count {
            vectors.extend(seeded_unit_vector(dim, 7_000 + i as u64));
        }
        builder.add_batch(&labels, &vectors).unwrap();
        builder.finish();
        assert_eq!(builder.doc_ids.len(), count);
        assert_eq!(
            builder.codes.len(),
            tq_codes_column_len(count, codec.code_size())
        );

        // Every lane must score identically to encoding the row directly.
        let query = seeded_unit_vector(dim, 1);
        let plan = TqQueryPlan::build(&codec, &query);
        let block_bytes = tq_block_bytes(codec.code_size());
        let mut scratch = TqEncodeScratch::default();
        let mut scores = [0.0f32; TQ_BLOCK_LANES];
        for index in 0..count {
            let block = &builder.codes[(index / TQ_BLOCK_LANES) * block_bytes..][..block_bytes];
            tq_score_block(&plan, block, &mut scores);
            let mut nibbles = vec![0u8; codec.padded_dim()];
            let gamma = codec.encode_into(
                &vectors[index * dim..(index + 1) * dim],
                &mut nibbles,
                &mut scratch,
            );
            let expected = plan.estimate_row(&nibbles, gamma);
            assert!(
                (scores[index % TQ_BLOCK_LANES] - expected).abs() < 0.02,
                "vector {index} scored {} expected {expected}",
                scores[index % TQ_BLOCK_LANES]
            );
        }
    }
}