1void load_a_to_shmem(const uint pos_a, const uint row, const uint col, const uint idx_m, const uint block, const uint end_k) {
  2#if defined(DATA_A_F32) || defined(DATA_A_F16)
  3#if LOAD_VEC_A == 8
  4            const uint idx = pos_a + col * p.stride_a / LOAD_VEC_A + row;
  5            const uint buf_idx = col * SHMEM_STRIDE + row * LOAD_VEC_A / 2;
  6            FLOAT_TYPE_VEC8 aa = FLOAT_TYPE_VEC8(data_a[idx]);
  7            buf_a[buf_idx    ] = aa[0].xy;
  8            buf_a[buf_idx + 1] = aa[0].zw;
  9            buf_a[buf_idx + 2] = aa[1].xy;
 10            buf_a[buf_idx + 3] = aa[1].zw;
 11#elif LOAD_VEC_A == 4
 12            const uint idx = pos_a + col * p.stride_a / LOAD_VEC_A + row;
 13            const uint buf_idx = col * SHMEM_STRIDE + row * LOAD_VEC_A / 2;
 14            FLOAT_TYPE_VEC4 aa = FLOAT_TYPE_VEC4(data_a[idx]);
 15            buf_a[buf_idx    ] = aa.xy;
 16            buf_a[buf_idx + 1] = aa.zw;
 17#else // LOAD_VEC_BATCH_A == 2
 18            const uint idx = pos_a + col * p.stride_a + row * 2;
 19            const uint buf_idx = col * SHMEM_STRIDE + row;
 20            if (idx_m < p.M && block + row * 2 + 1 < end_k) {
 21                buf_a[buf_idx] = FLOAT_TYPE_VEC2(data_a[idx],
 22                                                 data_a[idx + 1]);
 23            } else if (idx_m < p.M && block + row * 2 < end_k) {
 24                buf_a[buf_idx] = FLOAT_TYPE_VEC2(data_a[idx], 0.0f);
 25            } else {
 26                buf_a[buf_idx] = FLOAT_TYPE_VEC2(0.0f);
 27            }
 28#endif
 29#elif defined(DATA_A_BF16)
 30#if LOAD_VEC_A == 4
 31            const uint idx = pos_a + col * p.stride_a / LOAD_VEC_A + row;
 32            const uint buf_idx = col * SHMEM_STRIDE + row * LOAD_VEC_A / 2;
 33            FLOAT_TYPE_VEC4 aa = FLOAT_TYPE_VEC4(TO_FLOAT_TYPE(data_a[idx]));
 34            buf_a[buf_idx    ] = aa.xy;
 35            buf_a[buf_idx + 1] = aa.zw;
 36#else // LOAD_VEC_BATCH_A == 2
 37            const uint idx = pos_a + col * p.stride_a + row * 2;
 38            const uint buf_idx = col * SHMEM_STRIDE + row;
 39            if (idx_m < p.M && block + row * 2 + 1 < end_k) {
 40                buf_a[buf_idx] = FLOAT_TYPE_VEC2(TO_FLOAT_TYPE(data_a[idx]),
 41                                                 TO_FLOAT_TYPE(data_a[idx + 1]));
 42            } else if (idx_m < p.M && block + row * 2 < end_k) {
 43                buf_a[buf_idx] = FLOAT_TYPE_VEC2(TO_FLOAT_TYPE(data_a[idx]), 0.0f);
 44            } else {
 45                buf_a[buf_idx] = FLOAT_TYPE_VEC2(0.0f);
 46            }
 47#endif
 48#elif defined(DATA_A_Q4_0)
 49            const uint idx = pos_a + col * p.stride_a / LOAD_VEC_A + row;
 50            const uint buf_idx = col * SHMEM_STRIDE + row * LOAD_VEC_A / 4;
 51
 52            const uint ib = idx / 4;
 53            const uint iqs = idx & 0x03;
 54
 55            const float d = float(data_a_packed16[ib].d);
 56            const uint vui = uint(data_a_packed16[ib].qs[2*iqs]) | (uint(data_a_packed16[ib].qs[2*iqs + 1]) << 16);
 57            const vec4 v0 = (vec4(unpack8(vui & 0x0F0F0F0F)) - 8.0f) * d;
 58            const vec4 v1 = (vec4(unpack8((vui >> 4) & 0x0F0F0F0F)) - 8.0f) * d;
 59
 60            buf_a[buf_idx    ] = FLOAT_TYPE_VEC2(v0.xy);
 61            buf_a[buf_idx + 1] = FLOAT_TYPE_VEC2(v0.zw);
 62            buf_a[buf_idx + 8] = FLOAT_TYPE_VEC2(v1.xy);
 63            buf_a[buf_idx + 9] = FLOAT_TYPE_VEC2(v1.zw);
 64#elif defined(DATA_A_Q4_1)
 65            const uint idx = pos_a + col * p.stride_a / LOAD_VEC_A + row;
 66            const uint buf_idx = col * SHMEM_STRIDE + row * LOAD_VEC_A / 4;
 67
 68            const uint ib = idx / 4;
 69            const uint iqs = idx & 0x03;
 70
 71            const vec2 dm = vec2(data_a_packed32[ib].dm);
 72            const uint vui = data_a_packed32[ib].qs[iqs];
 73            const vec4 v0 = vec4(unpack8(vui & 0x0F0F0F0F)) * dm.x + dm.y;
 74            const vec4 v1 = vec4(unpack8((vui >> 4) & 0x0F0F0F0F)) * dm.x + dm.y;
 75
 76            buf_a[buf_idx     ] = FLOAT_TYPE_VEC2(v0.xy);
 77            buf_a[buf_idx + 1 ] = FLOAT_TYPE_VEC2(v0.zw);
 78            buf_a[buf_idx + 8 ] = FLOAT_TYPE_VEC2(v1.xy);
 79            buf_a[buf_idx + 9 ] = FLOAT_TYPE_VEC2(v1.zw);
 80#elif defined(DATA_A_Q5_0)
 81            const uint idx = pos_a + col * p.stride_a / LOAD_VEC_A + row;
 82            const uint buf_idx = col * SHMEM_STRIDE + row * LOAD_VEC_A / 4;
 83
 84            const uint ib = idx / 8;
 85            const uint iqs = idx & 0x07;
 86
 87            const float d = float(data_a_packed16[ib].d);
 88            const uint uint_qh = uint(data_a_packed16[ib].qh[1]) << 16 | uint(data_a_packed16[ib].qh[0]);
 89            const ivec2 qh0 = ivec2(((uint_qh >> 2*iqs) << 4) & 0x10, (uint_qh >> (2*iqs + 12)) & 0x10);
 90            const ivec2 qh1 = ivec2(((uint_qh >> (2*iqs + 1)) << 4) & 0x10, (uint_qh >> (2*iqs + 13)) & 0x10);
 91
 92            const uint vui = uint(data_a_packed16[ib].qs[iqs]);
 93            const vec4 v = (vec4((vui & 0xF) | qh0.x, ((vui >> 4) & 0xF) | qh0.y, ((vui >> 8) & 0xF) | qh1.x, (vui >> 12) | qh1.y) - 16.0f) * d;
 94
 95            buf_a[buf_idx    ] = FLOAT_TYPE_VEC2(v.xz);
 96            buf_a[buf_idx + 8] = FLOAT_TYPE_VEC2(v.yw);
 97#elif defined(DATA_A_Q5_1)
 98            const uint idx = pos_a + col * p.stride_a / LOAD_VEC_A + row;
 99            const uint buf_idx = col * SHMEM_STRIDE + row * LOAD_VEC_A / 4;
100
101            const uint ib = idx / 4;
102            const uint iqs = idx & 0x03;
103
104            const vec2 dm = vec2(data_a_packed32[ib].dm);
105            const uint uint_qh = data_a_packed32[ib].qh;
106            const uvec2 qh0 = uvec2(((uint_qh >> 4*iqs) << 4) & 0x10, (uint_qh >> (4*iqs + 12)) & 0x10);
107            const uvec2 qh1 = uvec2(((uint_qh >> (4*iqs + 1)) << 4) & 0x10, (uint_qh >> (4*iqs + 13)) & 0x10);
108            const uvec2 qh2 = uvec2(((uint_qh >> (4*iqs + 2)) << 4) & 0x10, (uint_qh >> (4*iqs + 14)) & 0x10);
109            const uvec2 qh3 = uvec2(((uint_qh >> (4*iqs + 3)) << 4) & 0x10, (uint_qh >> (4*iqs + 15)) & 0x10);
110
111            const uint vui = data_a_packed32[ib].qs[iqs];
112            const vec4 v0 = vec4((vui & 0xF) | qh0.x, ((vui >> 4) & 0xF) | qh0.y, ((vui >> 8) & 0xF) | qh1.x, ((vui >> 12) & 0xF) | qh1.y) * dm.x + dm.y;
113            const vec4 v1 = vec4(((vui >> 16) & 0xF) | qh2.x, ((vui >> 20) & 0xF) | qh2.y, ((vui >> 24) & 0xF) | qh3.x, ((vui >> 28) & 0xF) | qh3.y) * dm.x + dm.y;
114
115            buf_a[buf_idx    ] = FLOAT_TYPE_VEC2(v0.xz);
116            buf_a[buf_idx + 1] = FLOAT_TYPE_VEC2(v1.xz);
117            buf_a[buf_idx + 8] = FLOAT_TYPE_VEC2(v0.yw);
118            buf_a[buf_idx + 9] = FLOAT_TYPE_VEC2(v1.yw);
119#elif defined(DATA_A_Q8_0)
120            const uint idx = pos_a + col * p.stride_a / LOAD_VEC_A + row;
121            const uint buf_idx = col * SHMEM_STRIDE + row * LOAD_VEC_A / 2;
122
123            const uint ib = idx / 8;
124            const uint iqs = idx & 0x07;
125
126            const float d = float(data_a_packed16[ib].d);
127            const i8vec2 v0 = unpack8(int32_t(data_a_packed16[ib].qs[2*iqs])).xy; // vec4 used due to #12147
128            const i8vec2 v1 = unpack8(int32_t(data_a_packed16[ib].qs[2*iqs + 1])).xy;
129            const vec4 v = vec4(v0.x, v0.y, v1.x, v1.y) * d;
130
131            buf_a[buf_idx    ] = FLOAT_TYPE_VEC2(v.xy);
132            buf_a[buf_idx + 1] = FLOAT_TYPE_VEC2(v.zw);
133#elif defined(DATA_A_Q2_K)
134            const uint idx = pos_a + col * p.stride_a / LOAD_VEC_A + row;
135            const uint buf_idx = col * SHMEM_STRIDE + row * LOAD_VEC_A / 2;
136
137            const uint ib = idx / 64;                          // 4 values per idx
138            const uint iqs = (idx % 64) * 2;                   // 0,2,4..126
139
140            const uint qsi = (iqs / 64) * 16 + (iqs % 16);     // 0..15
141            const uint scalesi = iqs / 8;                      // 0..15
142            const uint qsshift = ((iqs % 64) / 16) * 2;        // 0,2,4,6
143
144            const vec4 qs = vec4(unpack8((data_a_packed32[ib].qs[qsi / 2] >> qsshift) & 0x03030303));
145            const uint scales = data_a[ib].scales[scalesi];
146            const vec2 dm = vec2(data_a[ib].dm);
147
148            const vec4 v = dm.x * float(scales & 0xF) * qs - dm.y * float(scales >> 4);
149
150            buf_a[buf_idx    ] = FLOAT_TYPE_VEC2(v.xy);
151            buf_a[buf_idx + 1] = FLOAT_TYPE_VEC2(v.zw);
152#elif defined(DATA_A_Q3_K)
153            const uint idx = pos_a + col * p.stride_a / LOAD_VEC_A + row;
154            const uint buf_idx = col * SHMEM_STRIDE + row * LOAD_VEC_A / 2;
155
156            const uint ib = idx / 128;                   // 2 values per idx
157            const uint iqs = idx % 128;                  // 0..127
158
159            const uint n = iqs / 64;                     // 0,1
160            const uint qsi = n * 32 + (iqs % 16) * 2;    // 0,2,4..62
161            const uint hmi =          (iqs % 16) * 2;    // 0,2,4..30
162            const uint j = (iqs % 64) / 4;               // 0..3
163            const uint is = iqs / 8;                     // 0..15
164            const uint halfsplit = ((iqs % 64) / 16);    // 0,1,2,3
165            const uint qsshift = halfsplit * 2;          // 0,2,4,6
166
167            const int8_t us = int8_t(((data_a[ib].scales[is % 8] >> (4 * int(is / 8))) & 0xF)
168                                  | (((data_a[ib].scales[8 + (is % 4)] >> (2 * int(is / 4))) & 3) << 4));
169            const float dl = float(data_a[ib].d) * float(us - 32);
170
171            const vec2 qs = vec2(unpack8((uint(data_a_packed16[ib].qs[qsi / 2]) >> qsshift) & 0x0303).xy);
172            const vec2 hm = vec2(unpack8(((uint(data_a_packed16[ib].hmask[hmi / 2]) >> (4 * n + halfsplit)) & 0x0101 ^ 0x0101) << 2).xy);
173
174            buf_a[buf_idx] = FLOAT_TYPE_VEC2(dl * (qs.x - hm.x),
175                                             dl * (qs.y - hm.y));
176#elif defined(DATA_A_Q4_K)
177            const uint idx = pos_a + col * p.stride_a / LOAD_VEC_A + row;
178            const uint buf_idx = col * SHMEM_STRIDE + row * LOAD_VEC_A / 2;
179
180            const uint ib = idx / 64;                  // 4 values per idx
181            const uint iqs = (idx % 64) * 2;           // 0,2,4..126
182
183            const uint n = iqs / 32;                   // 0,1,2,3
184            const uint b = (iqs % 32) / 16;            // 0,1
185            const uint is = 2 * n + b;                 // 0..7
186            const uint qsi = n * 32 + (iqs % 16) * 2;  // 0,2,4..126
187
188            const vec2 loadd = vec2(data_a[ib].dm);
189
190            const uint scidx0 = (is < 4) ? is : (is + 4);
191            const uint scidx1 = (is < 4) ? is : (is - 4);
192            const uint scidxmask1 = (is < 4) ? 0x30 : 0xC0;
193            const uint scidxshift1 = (is < 4) ? 0 : 2;
194            const uint mbidx0 = is + 4;
195            const uint mbidx1 = (is < 4) ? is + 4 : is;
196            const uint mbidxmask0 = (is < 4) ? 0xF : 0xF0;
197            const uint mbidxshift0 = (is < 4) ? 0 : 4;
198            const uint mbidxmask1 = (is < 4) ? 0x30 : 0xC0;
199            const uint mbidxshift1 = (is < 4) ? 0 : 2;
200
201            const uint8_t sc = uint8_t((data_a[ib].scales[scidx0] & 0xF) | ((data_a[ib].scales[scidx1] & scidxmask1) >> scidxshift1));
202            const uint8_t mbyte = uint8_t((data_a[ib].scales[mbidx0] & mbidxmask0) >> mbidxshift0 | ((data_a[ib].scales[mbidx1] & mbidxmask1) >> mbidxshift1));
203
204            const float d = loadd.x * sc;
205            const float m = -loadd.y * mbyte;
206
207            const vec4 q = vec4(unpack8((data_a_packed32[ib].qs[qsi / 4] >> (b * 4)) & 0x0F0F0F0F));
208
209            buf_a[buf_idx    ] = FLOAT_TYPE_VEC2(fma(d, q.x, m), fma(d, q.y, m));
210            buf_a[buf_idx + 1] = FLOAT_TYPE_VEC2(fma(d, q.z, m), fma(d, q.w, m));
211#elif defined(DATA_A_Q5_K)
212            const uint idx = pos_a + col * p.stride_a / LOAD_VEC_A + row;
213            const uint buf_idx = col * SHMEM_STRIDE + row * LOAD_VEC_A / 2;
214
215            const uint ib = idx / 64;                  // 4 values per idx
216            const uint iqs = (idx % 64) * 2;           // 0,2,4..126
217
218            const uint n = iqs / 32;                   // 0,1,2,3
219            const uint b = (iqs % 32) / 16;            // 0,1
220            const uint is = 2 * n + b;                 // 0..7
221            const uint qsi = n * 32 + (iqs % 16) * 2;  // 0,2,4..126
222            const uint qhi = (iqs % 16) * 2;           // 0,2,4..30
223
224            const vec2 loadd = vec2(data_a[ib].dm);
225
226            const uint scidx0 = (is < 4) ? is : (is + 4);
227            const uint scidx1 = (is < 4) ? is : (is - 4);
228            const uint scidxmask1 = (is < 4) ? 0x30 : 0xC0;
229            const uint scidxshift1 = (is < 4) ? 0 : 2;
230            const uint mbidx0 = is + 4;
231            const uint mbidx1 = (is < 4) ? is + 4 : is;
232            const uint mbidxmask0 = (is < 4) ? 0xF : 0xF0;
233            const uint mbidxshift0 = (is < 4) ? 0 : 4;
234            const uint mbidxmask1 = (is < 4) ? 0x30 : 0xC0;
235            const uint mbidxshift1 = (is < 4) ? 0 : 2;
236
237            const uint8_t sc    = uint8_t((data_a[ib].scales[scidx0] & 0xF)                         | ((data_a[ib].scales[scidx1] & scidxmask1) >> scidxshift1));
238            const uint8_t mbyte = uint8_t(((data_a[ib].scales[mbidx0] & mbidxmask0) >> mbidxshift0) | ((data_a[ib].scales[mbidx1] & mbidxmask1) >> mbidxshift1));
239
240            const float d = loadd.x * sc;
241            const float m = -loadd.y * mbyte;
242
243            const uint qs = (data_a_packed32[ib].qs[qsi / 4] >> (b * 4)) & 0x0F0F0F0F;
244            const uint qh = ((data_a_packed32[ib].qh[qhi / 4] >> (iqs / 16)) & 0x01010101) << 4;
245            const vec4 q = vec4(unpack8(qs | qh));
246
247            buf_a[buf_idx    ] = FLOAT_TYPE_VEC2(fma(d, q.x, m), fma(d, q.y, m));
248            buf_a[buf_idx + 1] = FLOAT_TYPE_VEC2(fma(d, q.z, m), fma(d, q.w, m));
249#elif defined(DATA_A_Q6_K)
250            const uint idx = pos_a + col * p.stride_a / LOAD_VEC_A + row;
251            const uint buf_idx = col * SHMEM_STRIDE + row * LOAD_VEC_A / 2;
252
253            const uint ib = idx / 128;                  // 2 values per idx
254            const uint iqs = idx % 128;                 // 0..127
255
256            const uint n = iqs / 64;                    // 0,1
257            const uint b = ((iqs % 64) / 32) * 4;       // 0,4
258            const uint is_b = (iqs % 16) / 8;           // 0,1
259            const uint qhshift = ((iqs % 64) / 16) * 2; // 0,2,4,6
260            const uint is = 8 * n + qhshift + is_b;     // 0..15
261            const uint qsi = n * 32 + (iqs % 32);       // 0..63
262            const uint qhi = n * 16 + (iqs % 16);       // 0..31
263
264            const float dscale = float(data_a[ib].d) * float(data_a[ib].scales[is]);
265
266            const uint ql = (uint(data_a_packed16[ib].ql[qsi]) >> b) & 0x0F0F;
267            const uint qh = (uint(data_a_packed16[ib].qh[qhi]) >> qhshift) & 0x0303;
268            const vec2 q = (vec2(unpack8(ql | (qh << 4)).xy) - 32) * dscale;
269
270            buf_a[buf_idx] = FLOAT_TYPE_VEC2(q.x, q.y);
271#elif defined(DATA_A_IQ1_S)
272            const uint idx = pos_a + col * p.stride_a / LOAD_VEC_A + row;
273            const uint buf_idx = col * SHMEM_STRIDE + row * LOAD_VEC_A / 2;
274
275            const uint ib = idx / 32;                  // 8 values per idx
276            const uint ib32 = (idx % 32) / 4;         // 0..7
277            const uint ib8 = idx % 32;
278
279            const float d = float(data_a[ib].d);
280            const uint qh = data_a[ib].qh[ib32];
281            const uint qs = data_a[ib].qs[ib8];
282            const float dl = d * (2 * bitfieldExtract(qh, 12, 3) + 1);
283            const float delta = ((qh & 0x8000) != 0) ? -IQ1S_DELTA : IQ1S_DELTA;
284            const int16_t grid = int16_t(iq1s_grid[qs | (bitfieldExtract(qh, 3 * int(ib8 & 3), 3) << 8)]);
285
286            [[unroll]] for (int k = 0; k < 4; ++k) {
287                buf_a[buf_idx + k] = FLOAT_TYPE_VEC2(dl * (bitfieldExtract(grid, 4 * k    , 2) + delta),
288                                                     dl * (bitfieldExtract(grid, 4 * k + 2, 2) + delta));
289            }
290#elif defined(DATA_A_IQ1_M)
291            const uint idx = pos_a + col * p.stride_a / LOAD_VEC_A + row;
292            const uint buf_idx = col * SHMEM_STRIDE + row * LOAD_VEC_A / 2;
293
294            const uint ib = idx / 32;  // 8 values per idx
295            const uint ib8 = idx % 32;
296            const uint ib16 = ib8 / 2;
297
298            const uint16_t[4] scales = data_a[ib].scales;
299            const u16vec4 s = u16vec4(scales[0], scales[1], scales[2], scales[3]) >> 12;
300            const float d = float(unpackHalf2x16(s.x | (s.y << 4) | (s.z << 8) | (s.w << 12)).x);
301            const uint sc = scales[ib8 / 8];
302            const uint qs = data_a[ib].qs[ib8];
303            const uint qh = data_a[ib].qh[ib16] >> (4 * (ib8 & 1));
304            const float dl = d * (2 * bitfieldExtract(sc, 3 * int(ib16 & 3), 3) + 1);
305            const float delta = ((qh & 8) != 0) ? -IQ1M_DELTA : IQ1M_DELTA;
306            const int16_t grid = int16_t(iq1s_grid[qs | ((qh & 7) << 8)]);
307
308            [[unroll]] for (int k = 0; k < 4; ++k) {
309                buf_a[buf_idx + k] = FLOAT_TYPE_VEC2(dl * (bitfieldExtract(grid, 4 * k    , 2) + delta),
310                                                     dl * (bitfieldExtract(grid, 4 * k + 2, 2) + delta));
311            }
312#elif defined(DATA_A_IQ2_XXS)
313            const uint idx = pos_a + col * p.stride_a / LOAD_VEC_A + row;
314            const uint buf_idx = col * SHMEM_STRIDE + row * LOAD_VEC_A / 2;
315
316            const uint ib = idx / 32;                 // 8 values per idx
317            const uint ib32 = (idx % 32) / 4;         // 0..7
318            const uint ib8 = idx % 4;
319
320            const float d = float(data_a[ib].d);
321            const uint qs = data_a[ib].qs[8 * ib32 + ib8];
322            const uint signs = pack32(u8vec4(
323                data_a[ib].qs[8*ib32 + 4],
324                data_a[ib].qs[8*ib32 + 5],
325                data_a[ib].qs[8*ib32 + 6],
326                data_a[ib].qs[8*ib32 + 7]
327            ));
328            const FLOAT_TYPE db = FLOAT_TYPE(d * 0.25 * (0.5 + (signs >> 28)));
329            const uint32_t sign7 = bitfieldExtract(signs, 7 * int(ib8), 7);
330            const uint sign = sign7 | (bitCount(sign7) << 7);
331            const uvec2 grid = iq2xxs_grid[qs];
332            const vec4 grid0 = vec4(unpack8(grid.x));
333            const vec4 grid1 = vec4(unpack8(grid.y));
334
335            buf_a[buf_idx    ] = db * FLOAT_TYPE_VEC2((sign &   1) != 0 ? -grid0.x : grid0.x,
336                                                      (sign &   2) != 0 ? -grid0.y : grid0.y);
337            buf_a[buf_idx + 1] = db * FLOAT_TYPE_VEC2((sign &   4) != 0 ? -grid0.z : grid0.z,
338                                                      (sign &   8) != 0 ? -grid0.w : grid0.w);
339            buf_a[buf_idx + 2] = db * FLOAT_TYPE_VEC2((sign &  16) != 0 ? -grid1.x : grid1.x,
340                                                      (sign &  32) != 0 ? -grid1.y : grid1.y);
341            buf_a[buf_idx + 3] = db * FLOAT_TYPE_VEC2((sign &  64) != 0 ? -grid1.z : grid1.z,
342                                                      (sign & 128) != 0 ? -grid1.w : grid1.w);
343#elif defined(DATA_A_IQ2_XS)
344            const uint idx = pos_a + col * p.stride_a / LOAD_VEC_A + row;
345            const uint buf_idx = col * SHMEM_STRIDE + row * LOAD_VEC_A / 2;
346
347            const uint ib = idx / 32;            // 8 values per idx
348            const uint ib32 = (idx % 32) / 4;    // 0..7
349            const uint ib8 = idx % 4;            // 0..3
350
351            const float d = float(data_a[ib].d);
352            const uint scale = (data_a[ib].scales[ib32] >> (2 * (ib8 & 2))) & 0xf;
353            const FLOAT_TYPE db = FLOAT_TYPE(d * 0.25 * (0.5 + scale));
354            const uint qs = data_a[ib].qs[4 * ib32 + ib8];
355            const uint sign7 = qs >> 9;
356            const uint sign = sign7 | (bitCount(sign7) << 7);
357            const uvec2 grid = iq2xs_grid[qs & 511];
358            const vec4 grid0 = vec4(unpack8(grid.x));
359            const vec4 grid1 = vec4(unpack8(grid.y));
360
361            buf_a[buf_idx    ] = db * FLOAT_TYPE_VEC2((sign &   1) != 0 ? -grid0.x : grid0.x,
362                                                      (sign &   2) != 0 ? -grid0.y : grid0.y);
363            buf_a[buf_idx + 1] = db * FLOAT_TYPE_VEC2((sign &   4) != 0 ? -grid0.z : grid0.z,
364                                                      (sign &   8) != 0 ? -grid0.w : grid0.w);
365            buf_a[buf_idx + 2] = db * FLOAT_TYPE_VEC2((sign &  16) != 0 ? -grid1.x : grid1.x,
366                                                      (sign &  32) != 0 ? -grid1.y : grid1.y);
367            buf_a[buf_idx + 3] = db * FLOAT_TYPE_VEC2((sign &  64) != 0 ? -grid1.z : grid1.z,
368                                                      (sign & 128) != 0 ? -grid1.w : grid1.w);
369#elif defined(DATA_A_IQ2_S)
370            const uint idx = pos_a + col * p.stride_a / LOAD_VEC_A + row;
371            const uint buf_idx = col * SHMEM_STRIDE + row * LOAD_VEC_A / 2;
372
373            const uint ib = idx / 32;  // 8 values per idx
374            const uint ib8 = idx % 32; // 0..31
375            const uint ib32 = ib8 / 4; // 0..7
376
377            const uint scale = (data_a[ib].scales[ib32] >> (2 * (ib8 & 2))) & 0xf;
378            const uint qs = data_a[ib].qs[ib8];
379            const uint qh = data_a[ib].qh[ib32];
380            const uint qhshift = 2 * (ib8 % 4);
381            const uint sign = data_a[ib].qs[QUANT_K / 8 + ib8];
382
383            const float d = float(data_a[ib].d);
384            const FLOAT_TYPE db = FLOAT_TYPE(d * 0.25 * (0.5 + scale));
385            const uvec2 grid = iq2s_grid[qs | ((qh << (8 - qhshift)) & 0x300)];
386            const vec4 grid0 = vec4(unpack8(grid.x));
387            const vec4 grid1 = vec4(unpack8(grid.y));
388
389            buf_a[buf_idx    ] = db * FLOAT_TYPE_VEC2((sign &   1) != 0 ? -grid0.x : grid0.x,
390                                                      (sign &   2) != 0 ? -grid0.y : grid0.y);
391            buf_a[buf_idx + 1] = db * FLOAT_TYPE_VEC2((sign &   4) != 0 ? -grid0.z : grid0.z,
392                                                      (sign &   8) != 0 ? -grid0.w : grid0.w);
393            buf_a[buf_idx + 2] = db * FLOAT_TYPE_VEC2((sign &  16) != 0 ? -grid1.x : grid1.x,
394                                                      (sign &  32) != 0 ? -grid1.y : grid1.y);
395            buf_a[buf_idx + 3] = db * FLOAT_TYPE_VEC2((sign &  64) != 0 ? -grid1.z : grid1.z,
396                                                      (sign & 128) != 0 ? -grid1.w : grid1.w);
397#elif defined(DATA_A_IQ3_XXS)
398            const uint idx = pos_a + col * p.stride_a / LOAD_VEC_A + row;
399            const uint buf_idx = col * SHMEM_STRIDE + row * LOAD_VEC_A / 2;
400
401            const uint ib = idx / 64;            // 4 values per idx
402            const uint iqs = idx % 64;           // 0..63
403            const uint is = QUANT_K / 4 + 4 * (iqs / 8); // 8 values
404
405            const float d = float(data_a[ib].d);
406            const uint qs = data_a[ib].qs[iqs];
407            const uint signs = pack32(u16vec2(
408                data_a_packed16[ib].qs[is/2],
409                data_a_packed16[ib].qs[is/2+1]
410            ));
411            const float db = d * 0.5 * (0.5 + (signs >> 28));
412            const uint32_t sign7 = bitfieldExtract(signs, 7 * (int(iqs / 2) % 4), 7);
413            const uint sign = (sign7 | (bitCount(sign7) << 7)) >> (4 * (idx % 2));
414            const uint grid = iq3xxs_grid[qs];
415            const vec4 v = db * vec4(unpack8(grid));
416
417            buf_a[buf_idx    ] = FLOAT_TYPE_VEC2((sign &   1) != 0 ? -v.x : v.x,
418                                                 (sign &   2) != 0 ? -v.y : v.y);
419            buf_a[buf_idx + 1] = FLOAT_TYPE_VEC2((sign &   4) != 0 ? -v.z : v.z,
420                                                 (sign &   8) != 0 ? -v.w : v.w);
421#elif defined(DATA_A_IQ3_S)
422            const uint idx = pos_a + col * p.stride_a / LOAD_VEC_A + row;
423            const uint buf_idx = col * SHMEM_STRIDE + row * LOAD_VEC_A / 2;
424
425            const uint ib = idx / 64;            // 4 values per idx
426            const uint iqs = idx % 64;           // 0..63
427            const uint iqh = iqs / 8;
428
429            const float d = float(data_a[ib].d);
430            const uint qs = data_a[ib].qs[iqs];
431            const uint qh = data_a[ib].qh[iqh];
432            const int8_t sign = int8_t(data_a[ib].signs[iqs / 2] >> (4 * (idx % 2)));
433            const uint scale = data_a[ib].scales[iqs / 16];
434            const i8vec2 sign01 = i8vec2(1 - (2 & i8vec2(sign << 1, sign)));
435            const float db = d * (1 + 2 * ((scale >> (4 * (iqh & 1))) & 0xf));
436            const uint32_t grid = iq3s_grid[qs | ((qh << (8 - (iqs % 8))) & 256)];
437            const vec4 v = db * vec4(unpack8(grid));
438
439            buf_a[buf_idx    ] = FLOAT_TYPE_VEC2((sign &   1) != 0 ? -v.x : v.x,
440                                                 (sign &   2) != 0 ? -v.y : v.y);
441            buf_a[buf_idx + 1] = FLOAT_TYPE_VEC2((sign &   4) != 0 ? -v.z : v.z,
442                                                 (sign &   8) != 0 ? -v.w : v.w);
443#elif defined(DATA_A_IQ4_XS)
444            const uint idx = pos_a + col * p.stride_a / LOAD_VEC_A + row;
445            const uint buf_idx = col * SHMEM_STRIDE + row * LOAD_VEC_A / 2;
446
447            const uint ib = idx / 128;                  // 2 values per idx
448            const uint ib32 = (idx % 128) / 16;         // 0..7
449            const uint iq = 16 * ib32 + 2 * (idx % 8);
450
451            const uint sl = (data_a[ib].scales_l[ib32/2] >> (4 * (ib32 & 1))) & 0xF;
452            const uint sh = ((data_a[ib].scales_h) >> (2 * ib32)) & 3;
453            const uint qshift = (idx & 8) >> 1;
454            u8vec2 qs = unpack8((uint(data_a_packed16[ib].qs[iq/2]) >> qshift) & 0x0F0F).xy;
455
456            const float d = float(data_a[ib].d);
457            const vec2 v = d * float(int(sl | (sh << 4)) - 32) * vec2(kvalues_iq4nl[qs.x], kvalues_iq4nl[qs.y]);
458
459            buf_a[buf_idx    ] = FLOAT_TYPE_VEC2(v.xy);
460#elif defined(DATA_A_IQ4_NL)
461            const uint idx = pos_a + col * p.stride_a / LOAD_VEC_A + row;
462            const uint buf_idx = col * SHMEM_STRIDE + row * LOAD_VEC_A / 4;
463
464            const uint ib = idx / 8;
465            const uint iqs = idx & 0x07;
466
467            const FLOAT_TYPE d = FLOAT_TYPE(data_a_packed16[ib].d);
468            const uint vui = uint(data_a_packed16[ib].qs[iqs]);
469
470            buf_a[buf_idx    ] = d * FLOAT_TYPE_VEC2(kvalues_iq4nl[vui & 0xF],
471                                                      kvalues_iq4nl[bitfieldExtract(vui, 8, 4)]);
472            buf_a[buf_idx + 8] = d * FLOAT_TYPE_VEC2(kvalues_iq4nl[bitfieldExtract(vui, 4, 4)],
473                                                     kvalues_iq4nl[vui >> 12]);
474#elif defined(DATA_A_MXFP4)
475            const uint idx = pos_a + col * p.stride_a / LOAD_VEC_A + row;
476            const uint buf_idx = col * SHMEM_STRIDE + row * LOAD_VEC_A / 4;
477
478            const uint ib = idx / 8;
479            const uint iqs = (idx & 0x07) * 2;
480
481            const float d = e8m0_to_fp32(data_a[ib].e) * 0.5;
482            const uint vui = uint(data_a[ib].qs[iqs]);
483            const uint vui2 = uint(data_a[ib].qs[iqs+1]);
484
485            buf_a[buf_idx    ] = FLOAT_TYPE_VEC2(kvalues_mxfp4[vui  & 0xF] * d,
486                                                 kvalues_mxfp4[vui2 & 0xF] * d);
487            buf_a[buf_idx + 8] = FLOAT_TYPE_VEC2(kvalues_mxfp4[vui  >>  4] * d,
488                                                 kvalues_mxfp4[vui2 >>  4] * d);
489#endif
490}
491
492#if !defined(MUL_MAT_ID)
493void load_b_to_shmem(const uint pos_b, const uint row, const uint col, const uint idx_n, const uint block, const uint end_k) {
494#if LOAD_VEC_B == 8
495            // Not supported for b_type bf16 because bf16mat2x4 does not exist
496            const uint idx = pos_b + col * p.stride_b / LOAD_VEC_B + row;
497            const uint buf_idx = col * SHMEM_STRIDE + row * LOAD_VEC_B / 2;
498            FLOAT_TYPE_VEC8 bb = FLOAT_TYPE_VEC8(data_b[idx]);
499            buf_b[buf_idx + 0] = bb[0].xy;
500            buf_b[buf_idx + 1] = bb[0].zw;
501            buf_b[buf_idx + 2] = bb[1].xy;
502            buf_b[buf_idx + 3] = bb[1].zw;
503#elif LOAD_VEC_B == 4
504            const uint idx = pos_b + col * p.stride_b / LOAD_VEC_B + row;
505            const uint buf_idx = col * SHMEM_STRIDE + row * LOAD_VEC_B / 2;
506#if defined(DATA_B_BF16)
507            FLOAT_TYPE_VEC4 bb = FLOAT_TYPE_VEC4(TO_FLOAT_TYPE(data_b[idx]));
508#else
509            FLOAT_TYPE_VEC4 bb = FLOAT_TYPE_VEC4(data_b[idx]);
510#endif
511            buf_b[buf_idx + 0] = bb.xy;
512            buf_b[buf_idx + 1] = bb.zw;
513#else // LOAD_VEC_BATCH_B == 2
514            const uint idx = pos_b + col * p.stride_b + row * 2;
515            const uint buf_idx = col * SHMEM_STRIDE + row;
516            if (idx_n < p.N && block + row * 2 + 1 < end_k) {
517                buf_b[buf_idx] = FLOAT_TYPE_VEC2(TO_FLOAT_TYPE(data_b[idx]),
518                                                 TO_FLOAT_TYPE(data_b[idx + 1]));
519            } else if (idx_n < p.N && block + row * 2 < end_k) {
520                buf_b[buf_idx] = FLOAT_TYPE_VEC2(TO_FLOAT_TYPE(data_b[idx]), 0.0f);
521            } else {
522                buf_b[buf_idx] = FLOAT_TYPE_VEC2(0.0f);
523            }
524#endif
525}
526#else
527void load_b_to_shmem(const uint pos_b, const uint row, const uint col, const uint ic, const uint _ne1, const uint block, const uint end_k) {
528#if LOAD_VEC_B == 8
529            // Not supported for b_type bf16 because bf16mat2x4 does not exist
530            const u16vec2 row_idx = row_ids[col];
531            const uint idx = pos_b + row_idx.y * p.batch_stride_b / LOAD_VEC_B + (row_idx.x % p.ne11) * p.stride_b / LOAD_VEC_B + row;
532            const uint buf_idx = col * SHMEM_STRIDE + row * LOAD_VEC_B / 2;
533            FLOAT_TYPE_VEC8 bb = FLOAT_TYPE_VEC8(data_b[idx]);
534            buf_b[buf_idx + 0] = bb[0].xy;
535            buf_b[buf_idx + 1] = bb[0].zw;
536            buf_b[buf_idx + 2] = bb[1].xy;
537            buf_b[buf_idx + 3] = bb[1].zw;
538#elif LOAD_VEC_B == 4
539            const u16vec2 row_idx = row_ids[col];
540            const uint idx = pos_b + row_idx.y * p.batch_stride_b / LOAD_VEC_B + (row_idx.x % p.ne11) * p.stride_b / LOAD_VEC_B + row;
541            const uint buf_idx = col * SHMEM_STRIDE + row * LOAD_VEC_B / 2;
542#if defined(DATA_B_BF16)
543            FLOAT_TYPE_VEC4 bb = FLOAT_TYPE_VEC4(TO_FLOAT_TYPE(data_b[idx]));
544#else
545            FLOAT_TYPE_VEC4 bb = FLOAT_TYPE_VEC4(data_b[idx]);
546#endif
547            buf_b[buf_idx + 0] = bb.xy;
548            buf_b[buf_idx + 1] = bb.zw;
549#else // LOAD_VEC_BATCH_B == 2
550            const uint row_i = ic * BN + col;
551            const uint buf_idx = col * SHMEM_STRIDE + row;
552            if (row_i < _ne1 && block + row * 2 + 1 < end_k) {
553                const u16vec2 row_idx = row_ids[col];
554                const uint idx = pos_b + row_idx.y * p.batch_stride_b + (row_idx.x % p.ne11) * p.stride_b + row * 2;
555                buf_b[buf_idx] = FLOAT_TYPE_VEC2(TO_FLOAT_TYPE(data_b[idx]),
556                                                 TO_FLOAT_TYPE(data_b[idx + 1]));
557            } else if (row_i < _ne1 && block + row * 2 < end_k) {
558                const u16vec2 row_idx = row_ids[col];
559                const uint idx = pos_b + row_idx.y * p.batch_stride_b + (row_idx.x % p.ne11) * p.stride_b + row * 2;
560                buf_b[buf_idx] = FLOAT_TYPE_VEC2(TO_FLOAT_TYPE(data_b[idx]), 0.0f);
561            } else {
562                buf_b[buf_idx] = FLOAT_TYPE_VEC2(0.0f);
563            }
564#endif
565}
566#endif