cortiq-engine 0.8.19

Portable inference runtime for the CMF model format, with no ML framework underneath: runs on CPU, and on GPU (Vulkan / Metal / DX12) with the `gpu` feature; tokenizer, chat templates and dynamic per-skill weight overlay.
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
//! Batch-graph kernels for the dense GDN hybrids (Qwen3.5 / Qwen3.8).
//!
//! The batched prompt graph ran a gated full-attention layer as a loop of
//! six dispatches per position (rope, K/V append, split attend, merge,
//! output gate, blit). On an RTX 3090 with Qwen3.8-27B q4tp that loop cost
//! 317 of a 128-position chunk's 1,155 ms at a 1,000-token prompt, and it
//! grows with the context. These are the same kernels with a TOKEN AXIS:
//! one dispatch each for the whole run. Every token's arithmetic is the
//! per-position kernel's, expression for expression, so the hidden rows
//! are the loop's to the bit; only the dispatch count changes.
//!
//! `CMF_ATTN_BT=0` keeps the per-position loop.

use super::*;

pub(crate) const ATTN_BT_WGSL: &str = r#"
// ── RoPE + qk-norm + gate split with a token axis (wid.y = token t of the
// run): `attn_rope_qkn` with tok = rq_p.tok + t and pos = rq_p.pos + t; Q
// and gate rows land at t·nh·hd of the batched outputs.
struct RqP {
    nh: u32, nkv: u32, hd: u32, rd: u32,
    pos: u32, flags: u32, eps: f32, tok: u32,
    rope_scale: f32, _p0: u32, _p1: u32, _p2: u32,
};
@group(0) @binding(0) var<storage, read>       rq_qraw : array<f32>;
@group(0) @binding(1) var<storage, read_write> rq_k    : array<f32>;
@group(0) @binding(2) var<storage, read_write> rq_qout : array<f32>;
@group(0) @binding(3) var<storage, read_write> rq_gout : array<f32>;
@group(0) @binding(4) var<storage, read>       rq_qnw  : array<f32>;
@group(0) @binding(5) var<storage, read>       rq_knw  : array<f32>;
@group(0) @binding(6) var<storage, read>       rq_invf : array<f32>;
@group(0) @binding(7) var<uniform>             rq_p    : RqP;
var<workgroup> rq_red: array<f32, 32>;
var<workgroup> rq_head: array<f32, 256>;
@compute @workgroup_size(32)
fn attn_rope_qkn_bt(@builtin(workgroup_id) wid: vec3<u32>, @builtin(local_invocation_id) lid: vec3<u32>) {
    let head = wid.x;
    let lane = lid.x;
    let nh = rq_p.nh;
    let hd = rq_p.hd;
    if (head >= nh + rq_p.nkv) { return; }
    let tok = rq_p.tok + wid.y;
    let pos = rq_p.pos + wid.y;
    let isq = head < nh;
    let gate = (rq_p.flags & 1u) != 0u;
    let src_base = select((head - nh) * hd, head * select(1u, 2u, gate) * hd, isq);
    let qoff = tok * nh * select(1u, 2u, gate) * hd;
    let koff = tok * rq_p.nkv * hd;
    let ooff = tok * nh * hd;
    let nt = (hd + 31u) / 32u;
    var xv: array<f32, 8>;
    var ss = 0.0;
    for (var t = 0u; t < nt; t = t + 1u) {
        let d = t * 32u + lane;
        var val = 0.0;
        if (d < hd) { val = select(rq_k[koff + src_base + d], rq_qraw[qoff + src_base + d], isq); }
        xv[t] = val;
        ss = ss + val * val;
    }
    rq_red[lane] = ss;
    workgroupBarrier();
    var stride = 16u;
    loop {
        if (stride == 0u) { break; }
        if (lane < stride) { rq_red[lane] = rq_red[lane] + rq_red[lane + stride]; }
        workgroupBarrier();
        stride = stride / 2u;
    }
    let normed = select((rq_p.flags & 4u) != 0u, (rq_p.flags & 2u) != 0u, isq);
    let late = (rq_p.flags & 32u) != 0u;
    let hlf = rq_p.rd / 2u;
    for (var t = 0u; t < nt; t = t + 1u) {
        let d = t * 32u + lane;
        if (d < hd) { rq_head[d] = xv[t]; }
    }
    workgroupBarrier();
    if (late) {
        var ri0 = lane;
        loop {
            if (ri0 >= hlf) { break; }
            let angle0 = f32(pos) * rq_invf[ri0];
            let cc0 = cos(angle0);
            let sf0 = sin(angle0);
            let y0 = rq_head[ri0];
            let y1 = rq_head[ri0 + hlf];
            rq_head[ri0] = (y0 * cc0 - y1 * sf0) * rq_p.rope_scale;
            rq_head[ri0 + hlf] = (y0 * sf0 + y1 * cc0) * rq_p.rope_scale;
            ri0 = ri0 + 32u;
        }
    }
    workgroupBarrier();
    for (var t = 0u; t < nt; t = t + 1u) {
        let d = t * 32u + lane;
        if (d < hd) { xv[t] = rq_head[d]; }
    }
    workgroupBarrier();
    if (normed) {
        let inv = 1.0 / sqrt(rq_red[0] / f32(hd) + rq_p.eps);
        let gemma = (rq_p.flags & 8u) != 0u;
        for (var t = 0u; t < nt; t = t + 1u) {
            let d = t * 32u + lane;
            if (d < hd) {
                var wd = select(rq_knw[d], rq_qnw[d], isq);
                if (gemma) { wd = 1.0 + wd; }
                xv[t] = xv[t] * inv * wd;
            }
        }
    }
    for (var t = 0u; t < nt; t = t + 1u) {
        let d = t * 32u + lane;
        if (d < hd) { rq_head[d] = xv[t]; }
    }
    workgroupBarrier();
    if (!late) {
        var ri = lane;
        loop {
            if (ri >= hlf) { break; }
            let angle = f32(pos) * rq_invf[ri];
            let cc = cos(angle);
            let sfac = sin(angle);
            let x0 = rq_head[ri];
            let x1 = rq_head[ri + hlf];
            rq_head[ri] = (x0 * cc - x1 * sfac) * rq_p.rope_scale;
            rq_head[ri + hlf] = (x0 * sfac + x1 * cc) * rq_p.rope_scale;
            ri = ri + 32u;
        }
    }
    workgroupBarrier();
    let dst_base = select((head - nh) * hd, head * hd, isq);
    for (var t = 0u; t < nt; t = t + 1u) {
        let d = t * 32u + lane;
        if (d < hd) {
            if (isq) { rq_qout[ooff + dst_base + d] = rq_head[d]; } else { rq_k[koff + dst_base + d] = rq_head[d]; }
        }
    }
    if (isq && gate) {
        let gbase = head * 2u * hd + hd;
        for (var t = 0u; t < nt; t = t + 1u) {
            let d = t * 32u + lane;
            if (d < hd) { rq_gout[ooff + head * hd + d] = rq_qraw[qoff + gbase + d]; }
        }
    }
}

// ── K/V rows of the run into the mirror (gid.y = token): `kv_append` with
// stored = pos + t, the batch row tok + t.
struct KvP { nkv: u32, hd: u32, cap: u32, pos: u32, tok: u32, _a: u32, _b: u32, _c: u32 };
@group(0) @binding(8)  var<storage, read>       kv_k  : array<f32>;
@group(0) @binding(9)  var<storage, read>       kv_v  : array<f32>;
@group(0) @binding(10) var<storage, read_write> kv_kb : array<f32>;
@group(0) @binding(11) var<storage, read_write> kv_vb : array<f32>;
@group(0) @binding(12) var<uniform>             kv_p  : KvP;
@compute @workgroup_size(256)
fn kv_append_bt(@builtin(global_invocation_id) gid: vec3<u32>) {
    let i = gid.x;
    if (i >= kv_p.nkv * kv_p.hd) { return; }
    let stored = kv_p.pos + gid.y;
    let toff = (kv_p.tok + gid.y) * kv_p.nkv * kv_p.hd;
    let h = i / kv_p.hd;
    let d = i % kv_p.hd;
    let dst = (h * kv_p.cap + stored) * kv_p.hd + d;
    kv_kb[dst] = kv_k[toff + i];
    kv_vb[dst] = kv_v[toff + i];
}

// ── GQA-shared split attend with a token axis: `gqa_attend_gpart` for token
// t = t0 + wid.z of the batch (context n = pos0 + t + 1), its queries at row
// t of the batched Q, its partials at slot ((wid.z·nh + h)·nc + ch).
struct AtP {
    nh: u32, hpk: u32, hd: u32, cap: u32,
    pos0: u32, ck: u32, nc: u32, scale: f32,
    k: u32, t0: u32, _a: u32, _b: u32,
};
@group(0) @binding(13) var<storage, read>       ap_q  : array<vec4<f32>>;
@group(0) @binding(14) var<storage, read>       ap_k  : array<vec4<f32>>;
@group(0) @binding(15) var<storage, read>       ap_v  : array<vec4<f32>>;
@group(0) @binding(16) var<storage, read_write> ap_acc: array<f32>;
@group(0) @binding(17) var<storage, read_write> ap_ml : array<vec2<f32>>;
@group(0) @binding(18) var<uniform>             ap_p  : AtP;
@group(0) @binding(19) var<storage, read_write> ap_o  : array<f32>;
const AG_CK: u32 = 256u;
var<workgroup> ag_q: array<vec4<f32>, 512>;
var<workgroup> ag_sc: array<f32, 2048>;
var<workgroup> ag_red: array<f32, 2048>;
@compute @workgroup_size(256)
fn gqa_attend_gpart_bt(@builtin(workgroup_id) wid: vec3<u32>, @builtin(local_invocation_index) lid: u32) {
    // Token is the FAST axis (`_a` = 1): the workgroups in flight together
    // are the run's tokens over one (kv head, chunk), so that chunk's K/V
    // rows are read from DRAM about once and served from L2 to the rest.
    let tfast = ap_p._a == 1u;
    let tl = select(wid.z, wid.x, tfast);
    let ch = wid.y;
    let g = select(wid.x, wid.z, tfast);
    let hpk = ap_p.hpk;
    let nkv = ap_p.nh / hpk;
    if (g >= nkv || tl >= ap_p.k) { return; }
    let t = ap_p.t0 + tl;
    let n = ap_p.pos0 + t + 1u;
    let hd = ap_p.hd;
    let hd4 = hd / 4u;
    let p0 = ch * AG_CK;
    if (p0 >= n) { return; }
    let pend = min(n, p0 + AG_CK);
    let cn = select(0u, pend - p0, pend > p0);
    let kbase = g * ap_p.cap * hd4;
    let scale = ap_p.scale;
    let qrow = t * ap_p.nh * hd4;
    for (var i = lid; i < 512u; i = i + 256u) {
        let hq = i / hd4;
        let d4 = i % hd4;
        var qv = vec4<f32>(0.0);
        if (hq < hpk && i < hpk * hd4) { qv = ap_q[qrow + (g * hpk + hq) * hd4 + d4]; }
        ag_q[i] = qv;
    }
    workgroupBarrier();
    var d0 = vec4<f32>(0.0); var d1 = vec4<f32>(0.0);
    var d2 = vec4<f32>(0.0); var d3 = vec4<f32>(0.0);
    var d4 = vec4<f32>(0.0); var d5 = vec4<f32>(0.0);
    var d6 = vec4<f32>(0.0); var d7 = vec4<f32>(0.0);
    if (lid < cn) {
        let krow = kbase + (p0 + lid) * hd4;
        for (var d = 0u; d < hd4; d = d + 1u) {
            let kv = ap_k[krow + d];
            d0 = d0 + ag_q[d] * kv;
            d1 = d1 + ag_q[hd4 + d] * kv;
            d2 = d2 + ag_q[2u * hd4 + d] * kv;
            d3 = d3 + ag_q[3u * hd4 + d] * kv;
            d4 = d4 + ag_q[4u * hd4 + d] * kv;
            d5 = d5 + ag_q[5u * hd4 + d] * kv;
            d6 = d6 + ag_q[6u * hd4 + d] * kv;
            d7 = d7 + ag_q[7u * hd4 + d] * kv;
        }
    }
    let live = lid < cn;
    var sc: array<f32, 8>;
    sc[0] = select(-1e30, (d0.x + d0.y + d0.z + d0.w) * scale, live);
    sc[1] = select(-1e30, (d1.x + d1.y + d1.z + d1.w) * scale, live);
    sc[2] = select(-1e30, (d2.x + d2.y + d2.z + d2.w) * scale, live);
    sc[3] = select(-1e30, (d3.x + d3.y + d3.z + d3.w) * scale, live);
    sc[4] = select(-1e30, (d4.x + d4.y + d4.z + d4.w) * scale, live);
    sc[5] = select(-1e30, (d5.x + d5.y + d5.z + d5.w) * scale, live);
    sc[6] = select(-1e30, (d6.x + d6.y + d6.z + d6.w) * scale, live);
    sc[7] = select(-1e30, (d7.x + d7.y + d7.z + d7.w) * scale, live);
    for (var h = 0u; h < 8u; h = h + 1u) {
        ag_sc[h * 256u + lid] = sc[h];
        ag_red[lid * 8u + h] = sc[h];
    }
    workgroupBarrier();
    var st = 128u;
    loop {
        if (st == 0u) { break; }
        if (lid < st) {
            for (var h = 0u; h < 8u; h = h + 1u) {
                ag_red[lid * 8u + h] = max(ag_red[lid * 8u + h], ag_red[(lid + st) * 8u + h]);
            }
        }
        workgroupBarrier();
        st = st >> 1u;
    }
    var cm: array<f32, 8>;
    for (var h = 0u; h < 8u; h = h + 1u) { cm[h] = ag_red[h]; }
    workgroupBarrier();
    for (var h = 0u; h < 8u; h = h + 1u) {
        let w = select(0.0, exp(sc[h] - cm[h]), live);
        ag_sc[h * 256u + lid] = w;
        ag_red[lid * 8u + h] = w;
    }
    workgroupBarrier();
    st = 128u;
    loop {
        if (st == 0u) { break; }
        if (lid < st) {
            for (var h = 0u; h < 8u; h = h + 1u) {
                ag_red[lid * 8u + h] = ag_red[lid * 8u + h] + ag_red[(lid + st) * 8u + h];
            }
        }
        workgroupBarrier();
        st = st >> 1u;
    }
    let pb = tl * ap_p.nh;
    if (lid < hd) {
        var a0 = 0.0; var a1 = 0.0; var a2 = 0.0; var a3 = 0.0;
        var a4 = 0.0; var a5 = 0.0; var a6 = 0.0; var a7 = 0.0;
        let dw = lid >> 2u;
        let dc = lid & 3u;
        for (var p = 0u; p < cn; p = p + 1u) {
            let v = ap_v[kbase + (p0 + p) * hd4 + dw][dc];
            a0 = a0 + ag_sc[p] * v;
            a1 = a1 + ag_sc[256u + p] * v;
            a2 = a2 + ag_sc[512u + p] * v;
            a3 = a3 + ag_sc[768u + p] * v;
            a4 = a4 + ag_sc[1024u + p] * v;
            a5 = a5 + ag_sc[1280u + p] * v;
            a6 = a6 + ag_sc[1536u + p] * v;
            a7 = a7 + ag_sc[1792u + p] * v;
        }
        var acc: array<f32, 8>;
        acc[0] = a0; acc[1] = a1; acc[2] = a2; acc[3] = a3;
        acc[4] = a4; acc[5] = a5; acc[6] = a6; acc[7] = a7;
        for (var h = 0u; h < hpk; h = h + 1u) {
            let idx = (pb + g * hpk + h) * ap_p.nc + ch;
            ap_acc[idx * hd + lid] = acc[h];
        }
    }
    if (lid == 0u) {
        for (var h = 0u; h < hpk; h = h + 1u) {
            let idx = (pb + g * hpk + h) * ap_p.nc + ch;
            ap_ml[idx] = vec2<f32>(cm[h], ag_red[h]);
        }
    }
}

// ── `gqa_attend_dec` with a token axis (wid.y = slot tl, token t = t0 +
// tl of context pos0 + t + 1): the one-workgroup-a-head decode attend the
// position loop runs up to ATTEND_SPLIT_MIN positions, same order.
var<workgroup> ad_sc: array<f32, 256>;
var<workgroup> ad_red: array<f32, 256>;
@compute @workgroup_size(256)
fn gqa_attend_dec_bt(@builtin(workgroup_id) wid: vec3<u32>,
                     @builtin(local_invocation_index) lid: u32) {
    let h = wid.x;
    let tl = wid.y;
    if (h >= ap_p.nh || tl >= ap_p.k) { return; }
    let t = ap_p.t0 + tl;
    let hd = ap_p.hd;
    let hd4 = hd / 4u;
    let n = ap_p.pos0 + t + 1u;
    let kbase = (h / ap_p.hpk) * ap_p.cap * hd4;
    let qbase = (t * ap_p.nh + h) * hd4;
    let scale = ap_p.scale;
    var m = -1.0e30;
    var l = 0.0;
    var acc = 0.0;
    var c0 = 0u;
    loop {
        if (c0 >= n) { break; }
        let cn = min(256u, n - c0);
        var sc = -1.0e30;
        if (lid < cn) {
            let krow = kbase + (c0 + lid) * hd4;
            var dot4 = vec4<f32>(0.0);
            for (var d = 0u; d < hd4; d = d + 1u) {
                dot4 = dot4 + ap_q[qbase + d] * ap_k[krow + d];
            }
            sc = (dot4.x + dot4.y + dot4.z + dot4.w) * scale;
        }
        ad_sc[lid] = sc;
        ad_red[lid] = sc;
        workgroupBarrier();
        var st = 128u;
        loop {
            if (st == 0u) { break; }
            if (lid < st) { ad_red[lid] = max(ad_red[lid], ad_red[lid + st]); }
            workgroupBarrier();
            st = st >> 1u;
        }
        let cm = ad_red[0];
        workgroupBarrier();
        let mp = max(m, cm);
        let f = exp(m - mp);
        let w = select(0.0, exp(ad_sc[lid] - mp), lid < cn);
        ad_sc[lid] = w;
        ad_red[lid] = w;
        workgroupBarrier();
        st = 128u;
        loop {
            if (st == 0u) { break; }
            if (lid < st) { ad_red[lid] = ad_red[lid] + ad_red[lid + st]; }
            workgroupBarrier();
            st = st >> 1u;
        }
        l = l * f + ad_red[0];
        workgroupBarrier();
        if (lid < hd) {
            acc = acc * f;
            let dw = lid >> 2u;
            let dc = lid & 3u;
            for (var p = 0u; p < cn; p = p + 1u) {
                acc = acc + ad_sc[p] * ap_v[kbase + (c0 + p) * hd4 + dw][dc];
            }
        }
        m = mp;
        c0 = c0 + 256u;
        workgroupBarrier();
    }
    if (lid < hd) {
        ap_o[(t * ap_p.nh + h) * hd + lid] = acc / l;
    }
}

// ── `gqa_attend_merge` with a token axis (wid.y = slot tl): token t's
// chunks of context pos0 + t + 1, output row t of the batched attention.
@compute @workgroup_size(32)
fn gqa_attend_merge_bt(@builtin(workgroup_id) wid: vec3<u32>, @builtin(local_invocation_id) lid: vec3<u32>) {
    let h = wid.x;
    let tl = wid.y;
    let lane = lid.x;
    if (h >= ap_p.nh || tl >= ap_p.k) { return; }
    let t = ap_p.t0 + tl;
    let n = ap_p.pos0 + t + 1u;
    let hd = ap_p.hd;
    let nc = (n + ap_p.ck - 1u) / ap_p.ck;
    let hb = (tl * ap_p.nh + h) * ap_p.nc;
    var mg = -1e30;
    for (var ci = 0u; ci < nc; ci = ci + 1u) { mg = max(mg, ap_ml[hb + ci].x); }
    var lg = 0.0;
    for (var ci = 0u; ci < nc; ci = ci + 1u) {
        let ml = ap_ml[hb + ci];
        lg = lg + ml.y * exp(ml.x - mg);
    }
    let invl = select(0.0, 1.0 / lg, lg > 0.0);
    let ob = (t * ap_p.nh + h) * hd;
    for (var d = lane; d < hd; d = d + 32u) {
        var a = 0.0;
        for (var ci = 0u; ci < nc; ci = ci + 1u) {
            let idx = hb + ci;
            a = a + ap_acc[idx * hd + d] * exp(ap_ml[idx].x - mg);
        }
        ap_o[ob + d] = a * invl;
    }
}
"#;

pub(crate) struct AttnBt {
    pub(crate) rope: wgpu::ComputePipeline,
    pub(crate) rope_l: wgpu::BindGroupLayout,
    pub(crate) kv: wgpu::ComputePipeline,
    pub(crate) kv_l: wgpu::BindGroupLayout,
    pub(crate) part: wgpu::ComputePipeline,
    pub(crate) part_l: wgpu::BindGroupLayout,
    pub(crate) merge: wgpu::ComputePipeline,
    pub(crate) merge_l: wgpu::BindGroupLayout,
    pub(crate) dec: wgpu::ComputePipeline,
    pub(crate) dec_l: wgpu::BindGroupLayout,
}

pub(crate) struct Pipes {
    pub(crate) attn: Option<AttnBt>,
    /// `q4tp_mm_r2` (`q4tp_mm_r` under `CMF_Q4MM_R=1`); None on rejection,
    /// a small workgroup-storage limit or `CMF_Q4MM_R=0`.
    pub(crate) mm_r: Option<(wgpu::ComputePipeline, wgpu::BindGroupLayout)>,
}

fn build_attn(c: &Ctx) -> Option<AttnBt> {
    if std::env::var("CMF_ATTN_BT").as_deref() == Ok("0") {
        return None;
    }
    if c.device.limits().max_compute_workgroup_storage_size < 2 * 2048 * 4 + 512 * 16 {
        return None;
    }
    let scope = c.device.push_error_scope(wgpu::ErrorFilter::Validation);
    let module = c.device.create_shader_module(wgpu::ShaderModuleDescriptor {
        label: Some("cmf-attn-bt"),
        source: wgpu::ShaderSource::Wgsl(ATTN_BT_WGSL.into()),
    });
    let pipe = |ep: &str| {
        c.device
            .create_compute_pipeline(&wgpu::ComputePipelineDescriptor {
                label: Some(ep),
                layout: None,
                module: &module,
                entry_point: Some(ep),
                compilation_options: Default::default(),
                cache: c.pipeline_cache.as_ref(),
            })
    };
    let rope = pipe("attn_rope_qkn_bt");
    let kv = pipe("kv_append_bt");
    let part = pipe("gqa_attend_gpart_bt");
    let merge = pipe("gqa_attend_merge_bt");
    let dec = pipe("gqa_attend_dec_bt");
    if let Some(e) = pollster::block_on(scope.pop()) {
        tracing::warn!("cmf-attn-bt module rejected ({e}): gated attention keeps the per-position loop");
        return None;
    }
    Some(AttnBt {
        rope_l: rope.get_bind_group_layout(0),
        rope,
        kv_l: kv.get_bind_group_layout(0),
        kv,
        part_l: part.get_bind_group_layout(0),
        part,
        merge_l: merge.get_bind_group_layout(0),
        merge,
        dec_l: dec.get_bind_group_layout(0),
        dec,
    })
}

fn build_mm_r(c: &Ctx) -> Option<(wgpu::ComputePipeline, wgpu::BindGroupLayout)> {
    if std::env::var("CMF_Q4MM_R").as_deref() == Ok("0") {
        return None;
    }
    if c.device.limits().max_compute_workgroup_storage_size < 2 * 1024 * 16 {
        return None;
    }
    let scope = c.device.push_error_scope(wgpu::ErrorFilter::Validation);
    let module = c.device.create_shader_module(wgpu::ShaderModuleDescriptor {
        label: Some("cmf-q4mm-r"),
        source: wgpu::ShaderSource::Wgsl(MM_R_WGSL.into()),
    });
    // The software-pipelined twin by default (same sums): 1000-token
    // prefill on Qwen3.8-27B / RTX 3090 176.9/175.9 -> 183.7/186.6 tok/s.
    // `CMF_Q4MM_R=1`: the single-buffered kernel.
    let entry = if std::env::var("CMF_Q4MM_R").as_deref() == Ok("1") {
        "q4tp_mm_r"
    } else {
        "q4tp_mm_r2"
    };
    let p = c
        .device
        .create_compute_pipeline(&wgpu::ComputePipelineDescriptor {
            label: Some(entry),
            layout: None,
            module: &module,
            entry_point: Some(entry),
            compilation_options: Default::default(),
            cache: c.pipeline_cache.as_ref(),
        });
    if let Some(e) = pollster::block_on(scope.pop()) {
        tracing::warn!("cmf-q4mm-r module rejected ({e}): the prompt GEMM keeps q4tp_mul_mm");
        return None;
    }
    let l = p.get_bind_group_layout(0);
    Some((p, l))
}

fn build(c: &Ctx) -> Option<Pipes> {
    Some(Pipes {
        attn: build_attn(c),
        mm_r: build_mm_r(c),
    })
}

/// Encode `y[nb][rows] = x[nb][cols] · Wᵀ` for a q4tp weight through
/// `q4tp_mm_r`. False (nothing encoded) when the kernel is missing or the
/// width is not a multiple of its 64-column step.
#[allow(clippy::too_many_arguments)]
pub(crate) fn encode_q4tp_mm_r(
    c: &Ctx,
    enc: &mut wgpu::CommandEncoder,
    weight: &wgpu::Buffer,
    xs: &wgpu::Buffer,
    y: &wgpu::Buffer,
    rows: usize,
    cols: usize,
    nb: usize,
) -> bool {
    let Some((p, l)) = pipes(c).and_then(|p| p.mm_r.as_ref()) else {
        return false;
    };
    if cols % 64 != 0 || rows == 0 || nb == 0 || rows.div_ceil(64) > MAX_WG as usize {
        return false;
    }
    let u = uniform_u32x4(c, [(cols / 4) as u32, rows as u32, nb as u32, 0]);
    let bind = c.device.create_bind_group(&wgpu::BindGroupDescriptor {
        label: Some("q4mm-r"),
        layout: l,
        entries: &[bind_buf(0, weight), bind_buf(1, xs), bind_buf(2, y), bind_buf(3, &u)],
    });
    let mut pass = begin_pass(enc);
    pass.set_pipeline(p);
    pass.set_bind_group(0, &bind, &[]);
    pass.dispatch_workgroups(rows.div_ceil(64) as u32, nb.div_ceil(64) as u32, 1);
    true
}

pub(crate) fn pipes(c: &Ctx) -> Option<&Pipes> {
    c.dense_batch_pipes.get_or_init(|| build(c)).as_ref()
}

/// The token-axis attention kernels, when the module came up.
pub(crate) fn attn(c: &Ctx) -> Option<&AttnBt> {
    pipes(c).and_then(|p| p.attn.as_ref())
}

/// Positions per chunk of `gqa_attend_gpart_bt` (the token kernel's AG_CK).
pub(crate) const BT_CK: usize = 256;

/// Encode the whole run's gated full attention for batch tokens
/// `t_from..k` (positions `pos0 + t`): rope + K/V append, the decode
/// attend for tokens before `t_dec` and the split attend + merge from it,
/// writing attention rows `t` of `attn_bb`. The caller applies the
/// output gate over the same rows. `qall`/`gall` are [k][nh][hd] scratch.
#[allow(clippy::too_many_arguments)]
pub(crate) fn encode_attn_bt(
    c: &Ctx,
    enc: &mut wgpu::CommandEncoder,
    p: &AttnBt,
    rope_words: [u32; 12],
    qraw: &wgpu::Buffer,
    kb: &wgpu::Buffer,
    vb: &wgpu::Buffer,
    qall: &wgpu::Buffer,
    gall: &wgpu::Buffer,
    qnw: &wgpu::Buffer,
    knw: &wgpu::Buffer,
    invf: &wgpu::Buffer,
    kcache: &wgpu::Buffer,
    vcache: &wgpu::Buffer,
    pacc: &wgpu::Buffer,
    pml: &wgpu::Buffer,
    attn_bb: &wgpu::Buffer,
    nh: usize,
    nkv: usize,
    hd: usize,
    cap: usize,
    pos0: usize,
    t_from: usize,
    t_dec: usize,
    k: usize,
    sub: usize,
    nc: usize,
    scale: f32,
) {
    let run = k - t_from;
    if run == 0 {
        return;
    }
    let mut rw = rope_words;
    rw[4] = (pos0 + t_from) as u32;
    rw[7] = t_from as u32;
    let rope_u = c
        .device
        .create_buffer_init(&wgpu::util::BufferInitDescriptor {
            label: Some("attn-bt-rope"),
            contents: bytemuck::cast_slice(&rw),
            usage: wgpu::BufferUsages::UNIFORM,
        });
    let kv_u = uniform_u32x8(
        c,
        [
            nkv as u32,
            hd as u32,
            cap as u32,
            (pos0 + t_from) as u32,
            t_from as u32,
            0,
            0,
            0,
        ],
    );
    let bind = |l: &wgpu::BindGroupLayout, e: &[(u32, &wgpu::Buffer)]| {
        let entries: Vec<_> = e.iter().map(|(i, b)| bind_buf(*i, b)).collect();
        c.device.create_bind_group(&wgpu::BindGroupDescriptor {
            label: None,
            layout: l,
            entries: &entries,
        })
    };
    let bg_rope = bind(
        &p.rope_l,
        &[
            (0, qraw),
            (1, kb),
            (2, qall),
            (3, gall),
            (4, qnw),
            (5, knw),
            (6, invf),
            (7, &rope_u),
        ],
    );
    let bg_kv = bind(&p.kv_l, &[(8, kb), (9, vb), (10, kcache), (11, vcache), (12, &kv_u)]);
    let mut pass = begin_pass(enc);
    pass.set_pipeline(&p.rope);
    pass.set_bind_group(0, &bg_rope, &[]);
    pass.dispatch_workgroups((nh + nkv) as u32, run as u32, 1);
    pass.set_pipeline(&p.kv);
    pass.set_bind_group(0, &bg_kv, &[]);
    pass.dispatch_workgroups(((nkv * hd) as u32).div_ceil(256), run as u32, 1);
    if t_dec > t_from {
        // Tokens whose context is within ATTEND_SPLIT_MIN: the dec twin.
        let kk = t_dec - t_from;
        let at_u = c
            .device
            .create_buffer_init(&wgpu::util::BufferInitDescriptor {
                label: Some("attn-bt-dec"),
                contents: bytemuck::cast_slice(&[
                    nh as u32,
                    (nh / nkv) as u32,
                    hd as u32,
                    cap as u32,
                    pos0 as u32,
                    BT_CK as u32,
                    nc as u32,
                    scale.to_bits(),
                    kk as u32,
                    t_from as u32,
                    0,
                    0,
                ]),
                usage: wgpu::BufferUsages::UNIFORM,
            });
        let bg_dec = bind(
            &p.dec_l,
            &[(13, qall), (14, kcache), (15, vcache), (18, &at_u), (19, attn_bb)],
        );
        pass.set_pipeline(&p.dec);
        pass.set_bind_group(0, &bg_dec, &[]);
        pass.dispatch_workgroups(nh as u32, kk as u32, 1);
    }
    // `CMF_ATTN_BT_TFAST=0`: kv head fastest (the first order).
    let tfast = std::env::var("CMF_ATTN_BT_TFAST").as_deref() != Ok("0");
    let mut t0 = t_dec.max(t_from);
    while t0 < k {
        let kk = sub.min(k - t0);
        let n_last = pos0 + t0 + kk;
        let at_u = c
            .device
            .create_buffer_init(&wgpu::util::BufferInitDescriptor {
                label: Some("attn-bt-at"),
                contents: bytemuck::cast_slice(&[
                    nh as u32,
                    (nh / nkv) as u32,
                    hd as u32,
                    cap as u32,
                    pos0 as u32,
                    BT_CK as u32,
                    nc as u32,
                    scale.to_bits(),
                    kk as u32,
                    t0 as u32,
                    u32::from(tfast),
                    0,
                ]),
                usage: wgpu::BufferUsages::UNIFORM,
            });
        let bg_part = bind(
            &p.part_l,
            &[
                (13, qall),
                (14, kcache),
                (15, vcache),
                (16, pacc),
                (17, pml),
                (18, &at_u),
            ],
        );
        let bg_merge = bind(&p.merge_l, &[(16, pacc), (17, pml), (18, &at_u), (19, attn_bb)]);
        pass.set_pipeline(&p.part);
        pass.set_bind_group(0, &bg_part, &[]);
        if tfast {
            pass.dispatch_workgroups(kk as u32, n_last.div_ceil(BT_CK) as u32, nkv as u32);
        } else {
            pass.dispatch_workgroups(nkv as u32, n_last.div_ceil(BT_CK) as u32, kk as u32);
        }
        pass.set_pipeline(&p.merge);
        pass.set_bind_group(0, &bg_merge, &[]);
        pass.dispatch_workgroups(nh as u32, kk as u32, 1);
        t0 += kk;
    }
}

pub(crate) const MM_R_WGSL: &str = r#"
struct MmP { cols4: u32, rows: u32, nb: u32, pad: u32 };
@group(0) @binding(0) var<storage, read>       qmm  : array<u32>;
@group(0) @binding(1) var<storage, read>       xmm4 : array<vec4<f32>>;
@group(0) @binding(2) var<storage, read_write> ymm  : array<f32>;
@group(0) @binding(3) var<uniform>             pmm  : MmP;
// 64 k x 16 four-row groups each, XOR-swizzled by the k block so both the
// staging stores and the compute loads stay conflict-free.
var<workgroup> rx: array<vec4<f32>, 1024>;
var<workgroup> rw: array<vec4<f32>, 1024>;
fn rb(off: u32) -> u32 {
    return (qmm[off >> 2u] >> ((off & 3u) * 8u)) & 0xFFu;
}
// Register-blocked q4tp GEMM for the batched prompt: a 64 (batch rows) x 64
// (output rows) tile per 128-lane workgroup, 64 columns (two q4tp groups) a
// step, four batch rows x eight output rows per lane. Every output is the
// sequential k-order sum `a = a + x*w` of `q4tp_mul_mm`, with the same
// weight values, so the two kernels agree to the bit; this one stages each
// weight word once per tile, takes one scale per row and group instead of
// one per four weights, and feeds 32 FMAs from three shared loads.
@compute @workgroup_size(128)
fn q4tp_mm_r(@builtin(workgroup_id) wid: vec3<u32>,
             @builtin(local_invocation_index) t: u32) {
    let cols4 = pmm.cols4;
    let cols = cols4 * 4u;
    let gpr = cols >> 5u;
    let rows = pmm.rows;
    let nb = pmm.nb;
    let m0 = wid.y * 64u;
    let n0 = wid.x * 64u;
    let params_w = rows * gpr * 4u;
    let codes_b = rows * gpr * 16u + rows * 4u;
    let cstride = (gpr * 5u + 7u) / 8u;
    // Weight staging role: word kw of the step (group kw/4, word kw%4) of
    // rows 4ng..4ng+3. Lanes of a warp share rows, so a row's 32 bytes of a
    // step come in one sector.
    let kw = t & 7u;
    let ng = t >> 3u;
    let wr = n0 + ng * 4u;
    // Compute role: batch rows 4tm..4tm+3, output rows 8tn..8tn+7.
    let tm = t & 15u;
    let tn = t >> 4u;
    var a00 = 0.0;
    var a01 = 0.0;
    var a02 = 0.0;
    var a03 = 0.0;
    var a04 = 0.0;
    var a05 = 0.0;
    var a06 = 0.0;
    var a07 = 0.0;
    var a10 = 0.0;
    var a11 = 0.0;
    var a12 = 0.0;
    var a13 = 0.0;
    var a14 = 0.0;
    var a15 = 0.0;
    var a16 = 0.0;
    var a17 = 0.0;
    var a20 = 0.0;
    var a21 = 0.0;
    var a22 = 0.0;
    var a23 = 0.0;
    var a24 = 0.0;
    var a25 = 0.0;
    var a26 = 0.0;
    var a27 = 0.0;
    var a30 = 0.0;
    var a31 = 0.0;
    var a32 = 0.0;
    var a33 = 0.0;
    var a34 = 0.0;
    var a35 = 0.0;
    var a36 = 0.0;
    var a37 = 0.0;
    var k0 = 0u;
    loop {
        if (k0 >= cols) { break; }
        for (var u = t; u < 256u; u = u + 128u) {
            let kq = u & 15u;
            let mg = u >> 4u;
            let m = m0 + mg * 4u;
            let ci = (k0 >> 2u) + kq;
            var v0 = vec4<f32>(0.0);
            var v1 = vec4<f32>(0.0);
            var v2 = vec4<f32>(0.0);
            var v3 = vec4<f32>(0.0);
            if (m < nb) { v0 = xmm4[m * cols4 + ci]; }
            if (m + 1u < nb) { v1 = xmm4[(m + 1u) * cols4 + ci]; }
            if (m + 2u < nb) { v2 = xmm4[(m + 2u) * cols4 + ci]; }
            if (m + 3u < nb) { v3 = xmm4[(m + 3u) * cols4 + ci]; }
            let kb = kq * 64u;
            let sx = mg ^ kq;
            rx[kb + sx] = vec4<f32>(v0.x, v1.x, v2.x, v3.x);
            rx[kb + 16u + sx] = vec4<f32>(v0.y, v1.y, v2.y, v3.y);
            rx[kb + 32u + sx] = vec4<f32>(v0.z, v1.z, v2.z, v3.z);
            rx[kb + 48u + sx] = vec4<f32>(v0.w, v1.w, v2.w, v3.w);
        }
        {
            let g = (k0 >> 5u) + (kw >> 2u);
            let word = kw & 3u;
            let bit = g * 5u;
            let sh = bit & 7u;
            let r0 = min(wr + 0u, rows - 1u);
            let cb0 = codes_b + r0 * cstride + (bit >> 3u);
            var cv0 = rb(cb0);
            if (sh > 3u) { cv0 = cv0 | (rb(cb0 + 1u) << 8u); }
            let pr0 = unpack2x16float(qmm[params_w + r0]);
            let s0 = exp2(pr0.x + f32((cv0 >> sh) & 31u) * pr0.y);
            let q0 = qmm[(r0 * gpr + g) * 4u + word];
            let r1 = min(wr + 1u, rows - 1u);
            let cb1 = codes_b + r1 * cstride + (bit >> 3u);
            var cv1 = rb(cb1);
            if (sh > 3u) { cv1 = cv1 | (rb(cb1 + 1u) << 8u); }
            let pr1 = unpack2x16float(qmm[params_w + r1]);
            let s1 = exp2(pr1.x + f32((cv1 >> sh) & 31u) * pr1.y);
            let q1 = qmm[(r1 * gpr + g) * 4u + word];
            let r2 = min(wr + 2u, rows - 1u);
            let cb2 = codes_b + r2 * cstride + (bit >> 3u);
            var cv2 = rb(cb2);
            if (sh > 3u) { cv2 = cv2 | (rb(cb2 + 1u) << 8u); }
            let pr2 = unpack2x16float(qmm[params_w + r2]);
            let s2 = exp2(pr2.x + f32((cv2 >> sh) & 31u) * pr2.y);
            let q2 = qmm[(r2 * gpr + g) * 4u + word];
            let r3 = min(wr + 3u, rows - 1u);
            let cb3 = codes_b + r3 * cstride + (bit >> 3u);
            var cv3 = rb(cb3);
            if (sh > 3u) { cv3 = cv3 | (rb(cb3 + 1u) << 8u); }
            let pr3 = unpack2x16float(qmm[params_w + r3]);
            let s3 = exp2(pr3.x + f32((cv3 >> sh) & 31u) * pr3.y);
            let q3 = qmm[(r3 * gpr + g) * 4u + word];
            let sw = ng ^ kw;
            let kb = kw * 128u;
            rw[kb + 0u + sw] = vec4<f32>((f32((q0 >> 0u) & 0xFu) - 8.0) * s0, (f32((q1 >> 0u) & 0xFu) - 8.0) * s1, (f32((q2 >> 0u) & 0xFu) - 8.0) * s2, (f32((q3 >> 0u) & 0xFu) - 8.0) * s3);
            rw[kb + 16u + sw] = vec4<f32>((f32((q0 >> 4u) & 0xFu) - 8.0) * s0, (f32((q1 >> 4u) & 0xFu) - 8.0) * s1, (f32((q2 >> 4u) & 0xFu) - 8.0) * s2, (f32((q3 >> 4u) & 0xFu) - 8.0) * s3);
            rw[kb + 32u + sw] = vec4<f32>((f32((q0 >> 8u) & 0xFu) - 8.0) * s0, (f32((q1 >> 8u) & 0xFu) - 8.0) * s1, (f32((q2 >> 8u) & 0xFu) - 8.0) * s2, (f32((q3 >> 8u) & 0xFu) - 8.0) * s3);
            rw[kb + 48u + sw] = vec4<f32>((f32((q0 >> 12u) & 0xFu) - 8.0) * s0, (f32((q1 >> 12u) & 0xFu) - 8.0) * s1, (f32((q2 >> 12u) & 0xFu) - 8.0) * s2, (f32((q3 >> 12u) & 0xFu) - 8.0) * s3);
            rw[kb + 64u + sw] = vec4<f32>((f32((q0 >> 16u) & 0xFu) - 8.0) * s0, (f32((q1 >> 16u) & 0xFu) - 8.0) * s1, (f32((q2 >> 16u) & 0xFu) - 8.0) * s2, (f32((q3 >> 16u) & 0xFu) - 8.0) * s3);
            rw[kb + 80u + sw] = vec4<f32>((f32((q0 >> 20u) & 0xFu) - 8.0) * s0, (f32((q1 >> 20u) & 0xFu) - 8.0) * s1, (f32((q2 >> 20u) & 0xFu) - 8.0) * s2, (f32((q3 >> 20u) & 0xFu) - 8.0) * s3);
            rw[kb + 96u + sw] = vec4<f32>((f32((q0 >> 24u) & 0xFu) - 8.0) * s0, (f32((q1 >> 24u) & 0xFu) - 8.0) * s1, (f32((q2 >> 24u) & 0xFu) - 8.0) * s2, (f32((q3 >> 24u) & 0xFu) - 8.0) * s3);
            rw[kb + 112u + sw] = vec4<f32>((f32((q0 >> 28u) & 0xFu) - 8.0) * s0, (f32((q1 >> 28u) & 0xFu) - 8.0) * s1, (f32((q2 >> 28u) & 0xFu) - 8.0) * s2, (f32((q3 >> 28u) & 0xFu) - 8.0) * s3);
        }
        workgroupBarrier();
        for (var kq = 0u; kq < 16u; kq = kq + 1u) {
            let sx = tm ^ kq;
            let sw = kq >> 1u;
            let na = (tn * 2u) ^ sw;
            let nbb = (tn * 2u + 1u) ^ sw;
            {
                let kk = kq * 4u + 0u;
                let xv = rx[kk * 16u + sx];
                let wa = rw[kk * 16u + na];
                let wb = rw[kk * 16u + nbb];
                let x0 = xv.x; let x1 = xv.y; let x2 = xv.z; let x3 = xv.w;
                let y0 = wa.x; let y1 = wa.y; let y2 = wa.z; let y3 = wa.w;
                let y4 = wb.x; let y5 = wb.y; let y6 = wb.z; let y7 = wb.w;
                a00 = a00 + x0 * y0; a01 = a01 + x0 * y1; a02 = a02 + x0 * y2; a03 = a03 + x0 * y3; a04 = a04 + x0 * y4; a05 = a05 + x0 * y5; a06 = a06 + x0 * y6; a07 = a07 + x0 * y7;
                a10 = a10 + x1 * y0; a11 = a11 + x1 * y1; a12 = a12 + x1 * y2; a13 = a13 + x1 * y3; a14 = a14 + x1 * y4; a15 = a15 + x1 * y5; a16 = a16 + x1 * y6; a17 = a17 + x1 * y7;
                a20 = a20 + x2 * y0; a21 = a21 + x2 * y1; a22 = a22 + x2 * y2; a23 = a23 + x2 * y3; a24 = a24 + x2 * y4; a25 = a25 + x2 * y5; a26 = a26 + x2 * y6; a27 = a27 + x2 * y7;
                a30 = a30 + x3 * y0; a31 = a31 + x3 * y1; a32 = a32 + x3 * y2; a33 = a33 + x3 * y3; a34 = a34 + x3 * y4; a35 = a35 + x3 * y5; a36 = a36 + x3 * y6; a37 = a37 + x3 * y7;
            }
            {
                let kk = kq * 4u + 1u;
                let xv = rx[kk * 16u + sx];
                let wa = rw[kk * 16u + na];
                let wb = rw[kk * 16u + nbb];
                let x0 = xv.x; let x1 = xv.y; let x2 = xv.z; let x3 = xv.w;
                let y0 = wa.x; let y1 = wa.y; let y2 = wa.z; let y3 = wa.w;
                let y4 = wb.x; let y5 = wb.y; let y6 = wb.z; let y7 = wb.w;
                a00 = a00 + x0 * y0; a01 = a01 + x0 * y1; a02 = a02 + x0 * y2; a03 = a03 + x0 * y3; a04 = a04 + x0 * y4; a05 = a05 + x0 * y5; a06 = a06 + x0 * y6; a07 = a07 + x0 * y7;
                a10 = a10 + x1 * y0; a11 = a11 + x1 * y1; a12 = a12 + x1 * y2; a13 = a13 + x1 * y3; a14 = a14 + x1 * y4; a15 = a15 + x1 * y5; a16 = a16 + x1 * y6; a17 = a17 + x1 * y7;
                a20 = a20 + x2 * y0; a21 = a21 + x2 * y1; a22 = a22 + x2 * y2; a23 = a23 + x2 * y3; a24 = a24 + x2 * y4; a25 = a25 + x2 * y5; a26 = a26 + x2 * y6; a27 = a27 + x2 * y7;
                a30 = a30 + x3 * y0; a31 = a31 + x3 * y1; a32 = a32 + x3 * y2; a33 = a33 + x3 * y3; a34 = a34 + x3 * y4; a35 = a35 + x3 * y5; a36 = a36 + x3 * y6; a37 = a37 + x3 * y7;
            }
            {
                let kk = kq * 4u + 2u;
                let xv = rx[kk * 16u + sx];
                let wa = rw[kk * 16u + na];
                let wb = rw[kk * 16u + nbb];
                let x0 = xv.x; let x1 = xv.y; let x2 = xv.z; let x3 = xv.w;
                let y0 = wa.x; let y1 = wa.y; let y2 = wa.z; let y3 = wa.w;
                let y4 = wb.x; let y5 = wb.y; let y6 = wb.z; let y7 = wb.w;
                a00 = a00 + x0 * y0; a01 = a01 + x0 * y1; a02 = a02 + x0 * y2; a03 = a03 + x0 * y3; a04 = a04 + x0 * y4; a05 = a05 + x0 * y5; a06 = a06 + x0 * y6; a07 = a07 + x0 * y7;
                a10 = a10 + x1 * y0; a11 = a11 + x1 * y1; a12 = a12 + x1 * y2; a13 = a13 + x1 * y3; a14 = a14 + x1 * y4; a15 = a15 + x1 * y5; a16 = a16 + x1 * y6; a17 = a17 + x1 * y7;
                a20 = a20 + x2 * y0; a21 = a21 + x2 * y1; a22 = a22 + x2 * y2; a23 = a23 + x2 * y3; a24 = a24 + x2 * y4; a25 = a25 + x2 * y5; a26 = a26 + x2 * y6; a27 = a27 + x2 * y7;
                a30 = a30 + x3 * y0; a31 = a31 + x3 * y1; a32 = a32 + x3 * y2; a33 = a33 + x3 * y3; a34 = a34 + x3 * y4; a35 = a35 + x3 * y5; a36 = a36 + x3 * y6; a37 = a37 + x3 * y7;
            }
            {
                let kk = kq * 4u + 3u;
                let xv = rx[kk * 16u + sx];
                let wa = rw[kk * 16u + na];
                let wb = rw[kk * 16u + nbb];
                let x0 = xv.x; let x1 = xv.y; let x2 = xv.z; let x3 = xv.w;
                let y0 = wa.x; let y1 = wa.y; let y2 = wa.z; let y3 = wa.w;
                let y4 = wb.x; let y5 = wb.y; let y6 = wb.z; let y7 = wb.w;
                a00 = a00 + x0 * y0; a01 = a01 + x0 * y1; a02 = a02 + x0 * y2; a03 = a03 + x0 * y3; a04 = a04 + x0 * y4; a05 = a05 + x0 * y5; a06 = a06 + x0 * y6; a07 = a07 + x0 * y7;
                a10 = a10 + x1 * y0; a11 = a11 + x1 * y1; a12 = a12 + x1 * y2; a13 = a13 + x1 * y3; a14 = a14 + x1 * y4; a15 = a15 + x1 * y5; a16 = a16 + x1 * y6; a17 = a17 + x1 * y7;
                a20 = a20 + x2 * y0; a21 = a21 + x2 * y1; a22 = a22 + x2 * y2; a23 = a23 + x2 * y3; a24 = a24 + x2 * y4; a25 = a25 + x2 * y5; a26 = a26 + x2 * y6; a27 = a27 + x2 * y7;
                a30 = a30 + x3 * y0; a31 = a31 + x3 * y1; a32 = a32 + x3 * y2; a33 = a33 + x3 * y3; a34 = a34 + x3 * y4; a35 = a35 + x3 * y5; a36 = a36 + x3 * y6; a37 = a37 + x3 * y7;
            }
        }
        workgroupBarrier();
        k0 = k0 + 64u;
    }
    let nq = n0 + tn * 8u;
    {
        let m = m0 + tm * 4u + 0u;
        if (m < nb) {
            let o = m * rows + nq;
            if (nq + 0u < rows) { ymm[o + 0u] = a00; }
            if (nq + 1u < rows) { ymm[o + 1u] = a01; }
            if (nq + 2u < rows) { ymm[o + 2u] = a02; }
            if (nq + 3u < rows) { ymm[o + 3u] = a03; }
            if (nq + 4u < rows) { ymm[o + 4u] = a04; }
            if (nq + 5u < rows) { ymm[o + 5u] = a05; }
            if (nq + 6u < rows) { ymm[o + 6u] = a06; }
            if (nq + 7u < rows) { ymm[o + 7u] = a07; }
        }
    }
    {
        let m = m0 + tm * 4u + 1u;
        if (m < nb) {
            let o = m * rows + nq;
            if (nq + 0u < rows) { ymm[o + 0u] = a10; }
            if (nq + 1u < rows) { ymm[o + 1u] = a11; }
            if (nq + 2u < rows) { ymm[o + 2u] = a12; }
            if (nq + 3u < rows) { ymm[o + 3u] = a13; }
            if (nq + 4u < rows) { ymm[o + 4u] = a14; }
            if (nq + 5u < rows) { ymm[o + 5u] = a15; }
            if (nq + 6u < rows) { ymm[o + 6u] = a16; }
            if (nq + 7u < rows) { ymm[o + 7u] = a17; }
        }
    }
    {
        let m = m0 + tm * 4u + 2u;
        if (m < nb) {
            let o = m * rows + nq;
            if (nq + 0u < rows) { ymm[o + 0u] = a20; }
            if (nq + 1u < rows) { ymm[o + 1u] = a21; }
            if (nq + 2u < rows) { ymm[o + 2u] = a22; }
            if (nq + 3u < rows) { ymm[o + 3u] = a23; }
            if (nq + 4u < rows) { ymm[o + 4u] = a24; }
            if (nq + 5u < rows) { ymm[o + 5u] = a25; }
            if (nq + 6u < rows) { ymm[o + 6u] = a26; }
            if (nq + 7u < rows) { ymm[o + 7u] = a27; }
        }
    }
    {
        let m = m0 + tm * 4u + 3u;
        if (m < nb) {
            let o = m * rows + nq;
            if (nq + 0u < rows) { ymm[o + 0u] = a30; }
            if (nq + 1u < rows) { ymm[o + 1u] = a31; }
            if (nq + 2u < rows) { ymm[o + 2u] = a32; }
            if (nq + 3u < rows) { ymm[o + 3u] = a33; }
            if (nq + 4u < rows) { ymm[o + 4u] = a34; }
            if (nq + 5u < rows) { ymm[o + 5u] = a35; }
            if (nq + 6u < rows) { ymm[o + 6u] = a36; }
            if (nq + 7u < rows) { ymm[o + 7u] = a37; }
        }
    }
}
// Software-pipelined twin of `q4tp_mm_r`: the next step's activation
// vec4s and weight words are loaded into registers while the current step
// computes from workgroup memory, so a step's global latency hides behind
// the previous step's FMAs. Same staging values, same sequential sums.
@compute @workgroup_size(128)
fn q4tp_mm_r2(@builtin(workgroup_id) wid: vec3<u32>,
              @builtin(local_invocation_index) t: u32) {
    let cols4 = pmm.cols4;
    let cols = cols4 * 4u;
    let gpr = cols >> 5u;
    let rows = pmm.rows;
    let nb = pmm.nb;
    let m0 = wid.y * 64u;
    let n0 = wid.x * 64u;
    let params_w = rows * gpr * 4u;
    let codes_b = rows * gpr * 16u + rows * 4u;
    let cstride = (gpr * 5u + 7u) / 8u;
    let kw = t & 7u;
    let ng = t >> 3u;
    let wr = n0 + ng * 4u;
    let tm = t & 15u;
    let tn = t >> 4u;
    let word = kw & 3u;
    let r0 = min(wr + 0u, rows - 1u);
    let pr0 = unpack2x16float(qmm[params_w + r0]);
    let cr0 = codes_b + r0 * cstride;
    let r1 = min(wr + 1u, rows - 1u);
    let pr1 = unpack2x16float(qmm[params_w + r1]);
    let cr1 = codes_b + r1 * cstride;
    let r2 = min(wr + 2u, rows - 1u);
    let pr2 = unpack2x16float(qmm[params_w + r2]);
    let cr2 = codes_b + r2 * cstride;
    let r3 = min(wr + 3u, rows - 1u);
    let pr3 = unpack2x16float(qmm[params_w + r3]);
    let cr3 = codes_b + r3 * cstride;
    var a00 = 0.0;
    var a01 = 0.0;
    var a02 = 0.0;
    var a03 = 0.0;
    var a04 = 0.0;
    var a05 = 0.0;
    var a06 = 0.0;
    var a07 = 0.0;
    var a10 = 0.0;
    var a11 = 0.0;
    var a12 = 0.0;
    var a13 = 0.0;
    var a14 = 0.0;
    var a15 = 0.0;
    var a16 = 0.0;
    var a17 = 0.0;
    var a20 = 0.0;
    var a21 = 0.0;
    var a22 = 0.0;
    var a23 = 0.0;
    var a24 = 0.0;
    var a25 = 0.0;
    var a26 = 0.0;
    var a27 = 0.0;
    var a30 = 0.0;
    var a31 = 0.0;
    var a32 = 0.0;
    var a33 = 0.0;
    var a34 = 0.0;
    var a35 = 0.0;
    var a36 = 0.0;
    var a37 = 0.0;
    // x staging tasks u = t and t + 128: kq = u & 15, mg = u >> 4.
    let kqa = t & 15u;
    let mga = t >> 4u;
    let mgb = mga + 8u;
    let ma = m0 + mga * 4u;
    let mb = m0 + mgb * 4u;
    var xa0: vec4<f32>;
    var xa1: vec4<f32>;
    var xa2: vec4<f32>;
    var xa3: vec4<f32>;
    var xb0: vec4<f32>;
    var xb1: vec4<f32>;
    var xb2: vec4<f32>;
    var xb3: vec4<f32>;
    var cb0: u32;
    var q0: u32;
    var cb1: u32;
    var q1: u32;
    var cb2: u32;
    var q2: u32;
    var cb3: u32;
    var q3: u32;
    var sh: u32;
    {
        xa0 = select(vec4<f32>(0.0), xmm4[min(ma + 0u, nb - 1u) * cols4 + (0u >> 2u) + kqa], ma + 0u < nb);
        xa1 = select(vec4<f32>(0.0), xmm4[min(ma + 1u, nb - 1u) * cols4 + (0u >> 2u) + kqa], ma + 1u < nb);
        xa2 = select(vec4<f32>(0.0), xmm4[min(ma + 2u, nb - 1u) * cols4 + (0u >> 2u) + kqa], ma + 2u < nb);
        xa3 = select(vec4<f32>(0.0), xmm4[min(ma + 3u, nb - 1u) * cols4 + (0u >> 2u) + kqa], ma + 3u < nb);
        xb0 = select(vec4<f32>(0.0), xmm4[min(mb + 0u, nb - 1u) * cols4 + (0u >> 2u) + kqa], mb + 0u < nb);
        xb1 = select(vec4<f32>(0.0), xmm4[min(mb + 1u, nb - 1u) * cols4 + (0u >> 2u) + kqa], mb + 1u < nb);
        xb2 = select(vec4<f32>(0.0), xmm4[min(mb + 2u, nb - 1u) * cols4 + (0u >> 2u) + kqa], mb + 2u < nb);
        xb3 = select(vec4<f32>(0.0), xmm4[min(mb + 3u, nb - 1u) * cols4 + (0u >> 2u) + kqa], mb + 3u < nb);
    }
    {
        let gn_ = (0u >> 5u) + (kw >> 2u);
        let bitn_ = gn_ * 5u;
        cb0 = rb(cr0 + (bitn_ >> 3u)) | (rb(cr0 + (bitn_ >> 3u) + 1u) << 8u);
        q0 = qmm[(r0 * gpr + gn_) * 4u + word];
        cb1 = rb(cr1 + (bitn_ >> 3u)) | (rb(cr1 + (bitn_ >> 3u) + 1u) << 8u);
        q1 = qmm[(r1 * gpr + gn_) * 4u + word];
        cb2 = rb(cr2 + (bitn_ >> 3u)) | (rb(cr2 + (bitn_ >> 3u) + 1u) << 8u);
        q2 = qmm[(r2 * gpr + gn_) * 4u + word];
        cb3 = rb(cr3 + (bitn_ >> 3u)) | (rb(cr3 + (bitn_ >> 3u) + 1u) << 8u);
        q3 = qmm[(r3 * gpr + gn_) * 4u + word];
        sh = bitn_ & 7u;
    }
    var k0 = 0u;
    loop {
        if (k0 >= cols) { break; }
        {
            let kb = kqa * 64u;
            let sx = mga ^ kqa;
            rx[kb + sx] = vec4<f32>(xa0.x, xa1.x, xa2.x, xa3.x);
            rx[kb + 16u + sx] = vec4<f32>(xa0.y, xa1.y, xa2.y, xa3.y);
            rx[kb + 32u + sx] = vec4<f32>(xa0.z, xa1.z, xa2.z, xa3.z);
            rx[kb + 48u + sx] = vec4<f32>(xa0.w, xa1.w, xa2.w, xa3.w);
        }
        {
            let kb = kqa * 64u;
            let sx = mgb ^ kqa;
            rx[kb + sx] = vec4<f32>(xb0.x, xb1.x, xb2.x, xb3.x);
            rx[kb + 16u + sx] = vec4<f32>(xb0.y, xb1.y, xb2.y, xb3.y);
            rx[kb + 32u + sx] = vec4<f32>(xb0.z, xb1.z, xb2.z, xb3.z);
            rx[kb + 48u + sx] = vec4<f32>(xb0.w, xb1.w, xb2.w, xb3.w);
        }
        {
            let s0 = exp2(pr0.x + f32((cb0 >> sh) & 31u) * pr0.y);
            let s1 = exp2(pr1.x + f32((cb1 >> sh) & 31u) * pr1.y);
            let s2 = exp2(pr2.x + f32((cb2 >> sh) & 31u) * pr2.y);
            let s3 = exp2(pr3.x + f32((cb3 >> sh) & 31u) * pr3.y);
            let sw = ng ^ kw;
            let kb = kw * 128u;
            rw[kb + 0u + sw] = vec4<f32>((f32((q0 >> 0u) & 0xFu) - 8.0) * s0, (f32((q1 >> 0u) & 0xFu) - 8.0) * s1, (f32((q2 >> 0u) & 0xFu) - 8.0) * s2, (f32((q3 >> 0u) & 0xFu) - 8.0) * s3);
            rw[kb + 16u + sw] = vec4<f32>((f32((q0 >> 4u) & 0xFu) - 8.0) * s0, (f32((q1 >> 4u) & 0xFu) - 8.0) * s1, (f32((q2 >> 4u) & 0xFu) - 8.0) * s2, (f32((q3 >> 4u) & 0xFu) - 8.0) * s3);
            rw[kb + 32u + sw] = vec4<f32>((f32((q0 >> 8u) & 0xFu) - 8.0) * s0, (f32((q1 >> 8u) & 0xFu) - 8.0) * s1, (f32((q2 >> 8u) & 0xFu) - 8.0) * s2, (f32((q3 >> 8u) & 0xFu) - 8.0) * s3);
            rw[kb + 48u + sw] = vec4<f32>((f32((q0 >> 12u) & 0xFu) - 8.0) * s0, (f32((q1 >> 12u) & 0xFu) - 8.0) * s1, (f32((q2 >> 12u) & 0xFu) - 8.0) * s2, (f32((q3 >> 12u) & 0xFu) - 8.0) * s3);
            rw[kb + 64u + sw] = vec4<f32>((f32((q0 >> 16u) & 0xFu) - 8.0) * s0, (f32((q1 >> 16u) & 0xFu) - 8.0) * s1, (f32((q2 >> 16u) & 0xFu) - 8.0) * s2, (f32((q3 >> 16u) & 0xFu) - 8.0) * s3);
            rw[kb + 80u + sw] = vec4<f32>((f32((q0 >> 20u) & 0xFu) - 8.0) * s0, (f32((q1 >> 20u) & 0xFu) - 8.0) * s1, (f32((q2 >> 20u) & 0xFu) - 8.0) * s2, (f32((q3 >> 20u) & 0xFu) - 8.0) * s3);
            rw[kb + 96u + sw] = vec4<f32>((f32((q0 >> 24u) & 0xFu) - 8.0) * s0, (f32((q1 >> 24u) & 0xFu) - 8.0) * s1, (f32((q2 >> 24u) & 0xFu) - 8.0) * s2, (f32((q3 >> 24u) & 0xFu) - 8.0) * s3);
            rw[kb + 112u + sw] = vec4<f32>((f32((q0 >> 28u) & 0xFu) - 8.0) * s0, (f32((q1 >> 28u) & 0xFu) - 8.0) * s1, (f32((q2 >> 28u) & 0xFu) - 8.0) * s2, (f32((q3 >> 28u) & 0xFu) - 8.0) * s3);
        }
        workgroupBarrier();
        let kn = k0 + 64u;
        if (kn < cols) {
            xa0 = select(vec4<f32>(0.0), xmm4[min(ma + 0u, nb - 1u) * cols4 + (kn >> 2u) + kqa], ma + 0u < nb);
            xa1 = select(vec4<f32>(0.0), xmm4[min(ma + 1u, nb - 1u) * cols4 + (kn >> 2u) + kqa], ma + 1u < nb);
            xa2 = select(vec4<f32>(0.0), xmm4[min(ma + 2u, nb - 1u) * cols4 + (kn >> 2u) + kqa], ma + 2u < nb);
            xa3 = select(vec4<f32>(0.0), xmm4[min(ma + 3u, nb - 1u) * cols4 + (kn >> 2u) + kqa], ma + 3u < nb);
            xb0 = select(vec4<f32>(0.0), xmm4[min(mb + 0u, nb - 1u) * cols4 + (kn >> 2u) + kqa], mb + 0u < nb);
            xb1 = select(vec4<f32>(0.0), xmm4[min(mb + 1u, nb - 1u) * cols4 + (kn >> 2u) + kqa], mb + 1u < nb);
            xb2 = select(vec4<f32>(0.0), xmm4[min(mb + 2u, nb - 1u) * cols4 + (kn >> 2u) + kqa], mb + 2u < nb);
            xb3 = select(vec4<f32>(0.0), xmm4[min(mb + 3u, nb - 1u) * cols4 + (kn >> 2u) + kqa], mb + 3u < nb);
            let gn_ = (kn >> 5u) + (kw >> 2u);
            let bitn_ = gn_ * 5u;
            cb0 = rb(cr0 + (bitn_ >> 3u)) | (rb(cr0 + (bitn_ >> 3u) + 1u) << 8u);
            q0 = qmm[(r0 * gpr + gn_) * 4u + word];
            cb1 = rb(cr1 + (bitn_ >> 3u)) | (rb(cr1 + (bitn_ >> 3u) + 1u) << 8u);
            q1 = qmm[(r1 * gpr + gn_) * 4u + word];
            cb2 = rb(cr2 + (bitn_ >> 3u)) | (rb(cr2 + (bitn_ >> 3u) + 1u) << 8u);
            q2 = qmm[(r2 * gpr + gn_) * 4u + word];
            cb3 = rb(cr3 + (bitn_ >> 3u)) | (rb(cr3 + (bitn_ >> 3u) + 1u) << 8u);
            q3 = qmm[(r3 * gpr + gn_) * 4u + word];
            sh = bitn_ & 7u;

        }
        for (var kq = 0u; kq < 16u; kq = kq + 1u) {
            let sx = tm ^ kq;
            let sw = kq >> 1u;
            let na = (tn * 2u) ^ sw;
            let nbb = (tn * 2u + 1u) ^ sw;
            {
                let kk = kq * 4u + 0u;
                let xv = rx[kk * 16u + sx];
                let wa = rw[kk * 16u + na];
                let wb = rw[kk * 16u + nbb];
                let x0 = xv.x; let x1 = xv.y; let x2 = xv.z; let x3 = xv.w;
                let y0 = wa.x; let y1 = wa.y; let y2 = wa.z; let y3 = wa.w;
                let y4 = wb.x; let y5 = wb.y; let y6 = wb.z; let y7 = wb.w;
                a00 = a00 + x0 * y0; a01 = a01 + x0 * y1; a02 = a02 + x0 * y2; a03 = a03 + x0 * y3; a04 = a04 + x0 * y4; a05 = a05 + x0 * y5; a06 = a06 + x0 * y6; a07 = a07 + x0 * y7;
                a10 = a10 + x1 * y0; a11 = a11 + x1 * y1; a12 = a12 + x1 * y2; a13 = a13 + x1 * y3; a14 = a14 + x1 * y4; a15 = a15 + x1 * y5; a16 = a16 + x1 * y6; a17 = a17 + x1 * y7;
                a20 = a20 + x2 * y0; a21 = a21 + x2 * y1; a22 = a22 + x2 * y2; a23 = a23 + x2 * y3; a24 = a24 + x2 * y4; a25 = a25 + x2 * y5; a26 = a26 + x2 * y6; a27 = a27 + x2 * y7;
                a30 = a30 + x3 * y0; a31 = a31 + x3 * y1; a32 = a32 + x3 * y2; a33 = a33 + x3 * y3; a34 = a34 + x3 * y4; a35 = a35 + x3 * y5; a36 = a36 + x3 * y6; a37 = a37 + x3 * y7;
            }
            {
                let kk = kq * 4u + 1u;
                let xv = rx[kk * 16u + sx];
                let wa = rw[kk * 16u + na];
                let wb = rw[kk * 16u + nbb];
                let x0 = xv.x; let x1 = xv.y; let x2 = xv.z; let x3 = xv.w;
                let y0 = wa.x; let y1 = wa.y; let y2 = wa.z; let y3 = wa.w;
                let y4 = wb.x; let y5 = wb.y; let y6 = wb.z; let y7 = wb.w;
                a00 = a00 + x0 * y0; a01 = a01 + x0 * y1; a02 = a02 + x0 * y2; a03 = a03 + x0 * y3; a04 = a04 + x0 * y4; a05 = a05 + x0 * y5; a06 = a06 + x0 * y6; a07 = a07 + x0 * y7;
                a10 = a10 + x1 * y0; a11 = a11 + x1 * y1; a12 = a12 + x1 * y2; a13 = a13 + x1 * y3; a14 = a14 + x1 * y4; a15 = a15 + x1 * y5; a16 = a16 + x1 * y6; a17 = a17 + x1 * y7;
                a20 = a20 + x2 * y0; a21 = a21 + x2 * y1; a22 = a22 + x2 * y2; a23 = a23 + x2 * y3; a24 = a24 + x2 * y4; a25 = a25 + x2 * y5; a26 = a26 + x2 * y6; a27 = a27 + x2 * y7;
                a30 = a30 + x3 * y0; a31 = a31 + x3 * y1; a32 = a32 + x3 * y2; a33 = a33 + x3 * y3; a34 = a34 + x3 * y4; a35 = a35 + x3 * y5; a36 = a36 + x3 * y6; a37 = a37 + x3 * y7;
            }
            {
                let kk = kq * 4u + 2u;
                let xv = rx[kk * 16u + sx];
                let wa = rw[kk * 16u + na];
                let wb = rw[kk * 16u + nbb];
                let x0 = xv.x; let x1 = xv.y; let x2 = xv.z; let x3 = xv.w;
                let y0 = wa.x; let y1 = wa.y; let y2 = wa.z; let y3 = wa.w;
                let y4 = wb.x; let y5 = wb.y; let y6 = wb.z; let y7 = wb.w;
                a00 = a00 + x0 * y0; a01 = a01 + x0 * y1; a02 = a02 + x0 * y2; a03 = a03 + x0 * y3; a04 = a04 + x0 * y4; a05 = a05 + x0 * y5; a06 = a06 + x0 * y6; a07 = a07 + x0 * y7;
                a10 = a10 + x1 * y0; a11 = a11 + x1 * y1; a12 = a12 + x1 * y2; a13 = a13 + x1 * y3; a14 = a14 + x1 * y4; a15 = a15 + x1 * y5; a16 = a16 + x1 * y6; a17 = a17 + x1 * y7;
                a20 = a20 + x2 * y0; a21 = a21 + x2 * y1; a22 = a22 + x2 * y2; a23 = a23 + x2 * y3; a24 = a24 + x2 * y4; a25 = a25 + x2 * y5; a26 = a26 + x2 * y6; a27 = a27 + x2 * y7;
                a30 = a30 + x3 * y0; a31 = a31 + x3 * y1; a32 = a32 + x3 * y2; a33 = a33 + x3 * y3; a34 = a34 + x3 * y4; a35 = a35 + x3 * y5; a36 = a36 + x3 * y6; a37 = a37 + x3 * y7;
            }
            {
                let kk = kq * 4u + 3u;
                let xv = rx[kk * 16u + sx];
                let wa = rw[kk * 16u + na];
                let wb = rw[kk * 16u + nbb];
                let x0 = xv.x; let x1 = xv.y; let x2 = xv.z; let x3 = xv.w;
                let y0 = wa.x; let y1 = wa.y; let y2 = wa.z; let y3 = wa.w;
                let y4 = wb.x; let y5 = wb.y; let y6 = wb.z; let y7 = wb.w;
                a00 = a00 + x0 * y0; a01 = a01 + x0 * y1; a02 = a02 + x0 * y2; a03 = a03 + x0 * y3; a04 = a04 + x0 * y4; a05 = a05 + x0 * y5; a06 = a06 + x0 * y6; a07 = a07 + x0 * y7;
                a10 = a10 + x1 * y0; a11 = a11 + x1 * y1; a12 = a12 + x1 * y2; a13 = a13 + x1 * y3; a14 = a14 + x1 * y4; a15 = a15 + x1 * y5; a16 = a16 + x1 * y6; a17 = a17 + x1 * y7;
                a20 = a20 + x2 * y0; a21 = a21 + x2 * y1; a22 = a22 + x2 * y2; a23 = a23 + x2 * y3; a24 = a24 + x2 * y4; a25 = a25 + x2 * y5; a26 = a26 + x2 * y6; a27 = a27 + x2 * y7;
                a30 = a30 + x3 * y0; a31 = a31 + x3 * y1; a32 = a32 + x3 * y2; a33 = a33 + x3 * y3; a34 = a34 + x3 * y4; a35 = a35 + x3 * y5; a36 = a36 + x3 * y6; a37 = a37 + x3 * y7;
            }
        }
        workgroupBarrier();
        k0 = kn;
    }
    let nq = n0 + tn * 8u;
    {
        let m = m0 + tm * 4u + 0u;
        if (m < nb) {
            let o = m * rows + nq;
            if (nq + 0u < rows) { ymm[o + 0u] = a00; }
            if (nq + 1u < rows) { ymm[o + 1u] = a01; }
            if (nq + 2u < rows) { ymm[o + 2u] = a02; }
            if (nq + 3u < rows) { ymm[o + 3u] = a03; }
            if (nq + 4u < rows) { ymm[o + 4u] = a04; }
            if (nq + 5u < rows) { ymm[o + 5u] = a05; }
            if (nq + 6u < rows) { ymm[o + 6u] = a06; }
            if (nq + 7u < rows) { ymm[o + 7u] = a07; }
        }
    }
    {
        let m = m0 + tm * 4u + 1u;
        if (m < nb) {
            let o = m * rows + nq;
            if (nq + 0u < rows) { ymm[o + 0u] = a10; }
            if (nq + 1u < rows) { ymm[o + 1u] = a11; }
            if (nq + 2u < rows) { ymm[o + 2u] = a12; }
            if (nq + 3u < rows) { ymm[o + 3u] = a13; }
            if (nq + 4u < rows) { ymm[o + 4u] = a14; }
            if (nq + 5u < rows) { ymm[o + 5u] = a15; }
            if (nq + 6u < rows) { ymm[o + 6u] = a16; }
            if (nq + 7u < rows) { ymm[o + 7u] = a17; }
        }
    }
    {
        let m = m0 + tm * 4u + 2u;
        if (m < nb) {
            let o = m * rows + nq;
            if (nq + 0u < rows) { ymm[o + 0u] = a20; }
            if (nq + 1u < rows) { ymm[o + 1u] = a21; }
            if (nq + 2u < rows) { ymm[o + 2u] = a22; }
            if (nq + 3u < rows) { ymm[o + 3u] = a23; }
            if (nq + 4u < rows) { ymm[o + 4u] = a24; }
            if (nq + 5u < rows) { ymm[o + 5u] = a25; }
            if (nq + 6u < rows) { ymm[o + 6u] = a26; }
            if (nq + 7u < rows) { ymm[o + 7u] = a27; }
        }
    }
    {
        let m = m0 + tm * 4u + 3u;
        if (m < nb) {
            let o = m * rows + nq;
            if (nq + 0u < rows) { ymm[o + 0u] = a30; }
            if (nq + 1u < rows) { ymm[o + 1u] = a31; }
            if (nq + 2u < rows) { ymm[o + 2u] = a32; }
            if (nq + 3u < rows) { ymm[o + 3u] = a33; }
            if (nq + 4u < rows) { ymm[o + 4u] = a34; }
            if (nq + 5u < rows) { ymm[o + 5u] = a35; }
            if (nq + 6u < rows) { ymm[o + 6u] = a36; }
            if (nq + 7u < rows) { ymm[o + 7u] = a37; }
        }
    }
}
"#;