1
   2#if defined(__GNUC__)
   3#pragma GCC diagnostic ignored "-Wpedantic"
   4#pragma GCC diagnostic ignored "-Wunused-local-typedefs"
   5#endif
   6
   7#include "amx.h"
   8#include "mmq.h"
   9#include "ggml-impl.h"
  10#include "ggml-cpu-impl.h"
  11#include "simd-mappings.h"
  12#include "quants.h"
  13#include "ggml-quants.h"
  14#include <algorithm>
  15#include <type_traits>
  16
  17#if defined(__gnu_linux__)
  18#include <sys/syscall.h>
  19#include <unistd.h>
  20#endif
  21
  22#if (defined(_WIN32) || defined(_WIN64))
  23#define RESTRICT __restrict
  24#else
  25#define RESTRICT __restrict__
  26#endif
  27
  28#if (defined(_WIN32) || defined(_WIN64))
  29#define ALWAYS_INLINE __forceinline
  30#elif __has_attribute(always_inline) || defined(__GNUC__)
  31#define ALWAYS_INLINE __attribute__((__always_inline__)) inline
  32#else
  33#define ALWAYS_INLINE inline
  34#endif
  35
  36#if defined(__AMX_INT8__) && defined(__AVX512VNNI__)
  37
  38namespace {
  39
  40// Forced unrolling
  41template <int n>
  42struct Unroll {
  43    template <typename Func, typename... Args>
  44    ALWAYS_INLINE void operator()(const Func& f, Args... args) const {
  45        Unroll<n - 1>{}(f, args...);
  46        f(std::integral_constant<int, n - 1>{}, args...);
  47    }
  48};
  49
  50template <>
  51struct Unroll<1> {
  52    template <typename Func, typename... Args>
  53    ALWAYS_INLINE void operator()(const Func& f, Args... args) const {
  54        f(std::integral_constant<int, 0>{}, args...);
  55    }
  56};
  57
  58// type traits
  59template <typename T> struct PackedTypes {};
  60template <> struct PackedTypes<block_q4_0> { using type = int8_t; };
  61template <> struct PackedTypes<block_q4_1> { using type = uint8_t; };
  62template <> struct PackedTypes<block_q8_0> { using type = int8_t; };
  63template <typename T> using packed_B_type = typename PackedTypes<T>::type;
  64
  65template <typename T>
  66struct do_compensate : std::integral_constant<bool,
  67    std::is_same<T, block_q8_0>::value> {};
  68
  69template <typename T>
  70struct do_unpack : std::integral_constant<bool,
  71    std::is_same<T, block_q4_0>::value ||
  72    std::is_same<T, block_q4_1>::value> {};
  73
  74template <typename T>
  75struct is_type_qkk : std::integral_constant<bool,
  76    std::is_same<T, block_q4_K>::value ||
  77    std::is_same<T, block_q5_K>::value ||
  78    std::is_same<T, block_q6_K>::value ||
  79    std::is_same<T, block_iq4_xs>::value> {};
  80
  81#define GGML_DISPATCH_FLOATING_TYPES(TYPE, ...)                                        \
  82    [&] {                                                                              \
  83        switch (TYPE) {                                                                \
  84            case GGML_TYPE_F16: {                                                      \
  85                using type = ggml_fp16_t;                                              \
  86                constexpr int blck_size = 16;                                          \
  87                return __VA_ARGS__();                                                  \
  88            }                                                                          \
  89            case GGML_TYPE_BF16: {                                                     \
  90                using type = ggml_bf16_t;                                              \
  91                constexpr int blck_size = 32;                                          \
  92                return __VA_ARGS__();                                                  \
  93            }                                                                          \
  94            default:                                                                   \
  95                fprintf(stderr, "Unsupported floating data type\n");                   \
  96        }                                                                              \
  97    }()
  98
  99#define GGML_DISPATCH_QTYPES(QT, ...)                                                  \
 100    [&] {                                                                              \
 101        switch (QT) {                                                                  \
 102            case GGML_TYPE_Q4_0: {                                                     \
 103                using type = block_q4_0;                                               \
 104                using vec_dot_type = block_q8_0;                                       \
 105                constexpr int blck_size = QK4_0;                                       \
 106                return __VA_ARGS__();                                                  \
 107            }                                                                          \
 108            case GGML_TYPE_Q4_1: {                                                     \
 109                using type = block_q4_1;                                               \
 110                using vec_dot_type = block_q8_1;                                       \
 111                constexpr int blck_size = QK4_1;                                       \
 112                return __VA_ARGS__();                                                  \
 113            }                                                                          \
 114            case GGML_TYPE_Q8_0: {                                                     \
 115                using type = block_q8_0;                                               \
 116                using vec_dot_type = block_q8_0;                                       \
 117                constexpr int blck_size = QK8_0;                                       \
 118                return __VA_ARGS__();                                                  \
 119            }                                                                          \
 120            case GGML_TYPE_Q4_K: {                                                     \
 121                using type = block_q4_K;                                               \
 122                using vec_dot_type = block_q8_K;                                       \
 123                constexpr int blck_size = QK_K;                                        \
 124                return __VA_ARGS__();                                                  \
 125            }                                                                          \
 126            case GGML_TYPE_Q5_K: {                                                     \
 127                using type = block_q5_K;                                               \
 128                using vec_dot_type = block_q8_K;                                       \
 129                constexpr int blck_size = QK_K;                                        \
 130                return __VA_ARGS__();                                                  \
 131            }                                                                          \
 132            case GGML_TYPE_Q6_K: {                                                     \
 133                using type = block_q6_K;                                               \
 134                using vec_dot_type = block_q8_K;                                       \
 135                constexpr int blck_size = QK_K;                                        \
 136                return __VA_ARGS__();                                                  \
 137            }                                                                          \
 138            case GGML_TYPE_IQ4_XS: {                                                   \
 139                using type = block_iq4_xs;                                             \
 140                using vec_dot_type = block_q8_K;                                       \
 141                constexpr int blck_size = QK_K;                                        \
 142                return __VA_ARGS__();                                                  \
 143            }                                                                          \
 144            default:                                                                   \
 145                fprintf(stderr, "Unsupported quantized data type: %d\n", int(TYPE));   \
 146        }                                                                              \
 147    }()
 148
 149#define GGML_DISPATCH_BOOL(BOOL_V, BOOL_NAME, ...)                                     \
 150    [&] {                                                                              \
 151        if (BOOL_V) {                                                                  \
 152            constexpr bool BOOL_NAME = true;                                           \
 153            return __VA_ARGS__();                                                      \
 154        } else {                                                                       \
 155            constexpr bool BOOL_NAME = false;                                          \
 156            return __VA_ARGS__();                                                      \
 157        }                                                                              \
 158    }()
 159
 160// define amx tile config data structure
 161struct tile_config_t{
 162    uint8_t palette_id = 0;
 163    uint8_t start_row = 0;
 164    uint8_t reserved_0[14] = {0};
 165    uint16_t colsb[16] = {0};
 166    uint8_t rows[16] = {0};
 167};
 168
 169// Notes: amx tile config
 170//
 171// Typically, TMUL calculates A and B of size 16 x 64 containing INT8 values,
 172// and accumulate the result to a 16 x 16 matrix C containing INT32 values,
 173//
 174// As many GGUF quantized types as `block_size` of 32, so a 16-16-32 config is used
 175// instead of the normally used 16-16-64 config.
 176//
 177//    Block A: {16, 32}, dtype = int8_t
 178//    Block B: {16, 32}, dtype = uint8_t/int8_t
 179//    Block C: {16, 16}, dtype = int32_t
 180//
 181// Block B needs to be prepacked to vnni format before feeding into  TMUL:
 182//    packed_B: from {n, k} to {k/vnni_blk, n, vnni_blck}, viewed in 2d, we get {8, 64}
 183//
 184// Therefore, we get tileconfig:
 185//             A    B    C
 186//    rows    16    8   16
 187//    colsb   32   64   16
 188//
 189// For tile distribution, follow a 2-2-4 pattern, e.g. A used TMM2-TMM3, B used TMM0-TMM1,
 190// C used TMM4-TMM7:
 191//            B TMM0  B TMM1
 192//    A TMM2  C TMM4  C TMM6
 193//    A TMM3  C TMM5  C TMM7
 194//
 195// Each `amx` kernel handles 4 blocks at a time: 2MB * 2NB, when m < 2 * BLOCK_M, unpack A
 196// will be needed.
 197//
 198// Here another commonly used pattern 1-3-3 is skipped, as it is mostly used when m <=16;
 199// and the sinlge batch gemm (m=1) has a special fast path with `avx512-vnni`.
 200//
 201// ref: https://www.intel.com/content/www/us/en/developer/articles/code-sample/
 202//    advanced-matrix-extensions-intrinsics-functions.html
 203//
 204
 205#define TC_CONFIG_TILE(i, r, cb) tc.rows[i] = r; tc.colsb[i] = cb
 206void ggml_tile_config_init(void) {
 207    static thread_local bool is_first_time = true;
 208
 209    if (!is_first_time) {
 210        return;
 211    }
 212
 213    static thread_local tile_config_t tc;
 214    tile_config_t current_tc;
 215    _tile_storeconfig(&current_tc);
 216
 217    // load only when config changes
 218    if (tc.palette_id == 0 || (memcmp(&current_tc.colsb, &tc.colsb, sizeof(uint16_t) * 8) != 0 &&
 219                               memcmp(&current_tc.rows, &tc.rows, sizeof(uint8_t) * 8) != 0)) {
 220        tc.palette_id = 1;
 221        tc.start_row = 0;
 222        TC_CONFIG_TILE(TMM0, 8, 64);
 223        TC_CONFIG_TILE(TMM1, 8, 64);
 224        TC_CONFIG_TILE(TMM2, 16, 32);
 225        TC_CONFIG_TILE(TMM3, 16, 32);
 226        TC_CONFIG_TILE(TMM4, 16, 64);
 227        TC_CONFIG_TILE(TMM5, 16, 64);
 228        TC_CONFIG_TILE(TMM6, 16, 64);
 229        TC_CONFIG_TILE(TMM7, 16, 64);
 230        _tile_loadconfig(&tc);
 231    }
 232
 233    is_first_time = false;
 234}
 235
 236// we need an extra 16 * 4B (TILE_N * int32_t) for each NB/KB block for compensation.
 237// See the notes `s8s8 igemm compensation in avx512-vnni` for detail.
 238template <typename TB>
 239int get_tile_size() {
 240    int tile_size = TILE_N * sizeof(TB);
 241    if (do_compensate<TB>::value) {
 242        tile_size += TILE_N * sizeof(int32_t);
 243    }
 244    if (std::is_same<TB, block_q4_K>::value ||
 245        std::is_same<TB, block_q5_K>::value) {
 246        tile_size += TILE_N * 4;
 247    }
 248    if (std::is_same<TB, block_iq4_xs>::value) {
 249        tile_size += TILE_N * 2;
 250    }
 251    return tile_size;
 252}
 253
 254template <typename TB, int BLOCK_K>
 255int get_row_size(int K) {
 256    int KB = K / BLOCK_K;
 257    int row_size = KB * sizeof(TB);
 258    if (do_compensate<TB>::value) {
 259        row_size += KB * sizeof(int32_t);
 260    }
 261    if (std::is_same<TB, block_q4_K>::value ||
 262        std::is_same<TB, block_q5_K>::value) {
 263        row_size += KB * 4;
 264    }
 265    if (std::is_same<TB, block_iq4_xs>::value) {
 266        row_size += KB * 2;
 267    }
 268    return row_size;
 269}
 270
 271// vectorized dtype conversion
 272inline float FP16_TO_FP32(ggml_half val) {
 273    __m256i v = _mm256_setr_epi16(
 274        val, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0);
 275    __m512 o = _mm512_cvtph_ps(v);
 276    return _mm512_cvtss_f32(o);
 277}
 278
 279inline __m512 FP16_TO_FP32_VEC(ggml_half val) {
 280    __m256i v = _mm256_set1_epi16(val);
 281    return _mm512_cvtph_ps(v);
 282}
 283
 284// horizontal reduce
 285inline float _mm512_reduce_max_ps(const __m512 x) {
 286    __m512 v = x;
 287    __m512 v1 = _mm512_shuffle_f32x4(v, v, 0x4E);
 288    v = _mm512_max_ps(v, v1);
 289    v1 = _mm512_shuffle_f32x4(v, v, 0xB1);
 290    v = _mm512_max_ps(v, v1);
 291    v1 = _mm512_shuffle_ps(v, v, 0x4E);
 292    v = _mm512_max_ps(v, v1);
 293    v1 = _mm512_shuffle_ps(v, v, 0xB1);
 294    v = _mm512_max_ps(v, v1);
 295    return _mm512_cvtss_f32(v);
 296}
 297
 298// transpose utils
 299#define SHUFFLE_EPI32(a, b, mask) \
 300    _mm256_castps_si256(_mm256_shuffle_ps(_mm256_castsi256_ps(a), _mm256_castsi256_ps(b), mask))
 301inline void transpose_8x8_32bit(__m256i * v, __m256i * v1) {
 302    // unpacking and 32-bit elements
 303    v1[0] = _mm256_unpacklo_epi32(v[0], v[1]);
 304    v1[1] = _mm256_unpackhi_epi32(v[0], v[1]);
 305    v1[2] = _mm256_unpacklo_epi32(v[2], v[3]);
 306    v1[3] = _mm256_unpackhi_epi32(v[2], v[3]);
 307    v1[4] = _mm256_unpacklo_epi32(v[4], v[5]);
 308    v1[5] = _mm256_unpackhi_epi32(v[4], v[5]);
 309    v1[6] = _mm256_unpacklo_epi32(v[6], v[7]);
 310    v1[7] = _mm256_unpackhi_epi32(v[6], v[7]);
 311
 312    // shuffling the 32-bit elements
 313    v[0] = SHUFFLE_EPI32(v1[0], v1[2], 0x44);
 314    v[1] = SHUFFLE_EPI32(v1[0], v1[2], 0xee);
 315    v[2] = SHUFFLE_EPI32(v1[4], v1[6], 0x44);
 316    v[3] = SHUFFLE_EPI32(v1[4], v1[6], 0xee);
 317    v[4] = SHUFFLE_EPI32(v1[1], v1[3], 0x44);
 318    v[5] = SHUFFLE_EPI32(v1[1], v1[3], 0xee);
 319    v[6] = SHUFFLE_EPI32(v1[5], v1[7], 0x44);
 320    v[7] = SHUFFLE_EPI32(v1[5], v1[7], 0xee);
 321
 322    // shuffling 128-bit elements
 323    v1[0] = _mm256_permute2f128_si256(v[2], v[0], 0x02);
 324    v1[1] = _mm256_permute2f128_si256(v[3], v[1], 0x02);
 325    v1[2] = _mm256_permute2f128_si256(v[6], v[4], 0x02);
 326    v1[3] = _mm256_permute2f128_si256(v[7], v[5], 0x02);
 327    v1[4] = _mm256_permute2f128_si256(v[2], v[0], 0x13);
 328    v1[5] = _mm256_permute2f128_si256(v[3], v[1], 0x13);
 329    v1[6] = _mm256_permute2f128_si256(v[6], v[4], 0x13);
 330    v1[7] = _mm256_permute2f128_si256(v[7], v[5], 0x13);
 331}
 332
 333inline void transpose_16x4_32bit(__m512i * r, __m512i * d) {
 334
 335    static const __m512i index1 = _mm512_set_epi32(
 336        0x0f, 0x0b, 0x07, 0x03,
 337        0x0e, 0x0a, 0x06, 0x02,
 338        0x0d, 0x09, 0x05, 0x01,
 339        0x0c, 0x08, 0x04, 0x00);
 340
 341    d[0] = _mm512_permutexvar_epi32(index1, r[0]);
 342    d[1] = _mm512_permutexvar_epi32(index1, r[1]);
 343    d[2] = _mm512_permutexvar_epi32(index1, r[2]);
 344    d[3] = _mm512_permutexvar_epi32(index1, r[3]);
 345
 346    r[0] = _mm512_shuffle_i32x4(d[0], d[1], 0x44);
 347    r[1] = _mm512_shuffle_i32x4(d[0], d[1], 0xee);
 348    r[2] = _mm512_shuffle_i32x4(d[2], d[3], 0x44);
 349    r[3] = _mm512_shuffle_i32x4(d[2], d[3], 0xee);
 350
 351    d[0] = _mm512_shuffle_i32x4(r[0], r[2], 0x88);
 352    d[1] = _mm512_shuffle_i32x4(r[0], r[2], 0xdd);
 353    d[2] = _mm512_shuffle_i32x4(r[1], r[3], 0x88);
 354    d[3] = _mm512_shuffle_i32x4(r[1], r[3], 0xdd);
 355}
 356
 357inline void transpose_16x16_32bit(__m512i * v) {
 358    __m512i v1[16];
 359    v1[0] = _mm512_unpacklo_epi32(v[0], v[1]);
 360    v1[1] = _mm512_unpackhi_epi32(v[0], v[1]);
 361    v1[2] = _mm512_unpacklo_epi32(v[2], v[3]);
 362    v1[3] = _mm512_unpackhi_epi32(v[2], v[3]);
 363    v1[4] = _mm512_unpacklo_epi32(v[4], v[5]);
 364    v1[5] = _mm512_unpackhi_epi32(v[4], v[5]);
 365    v1[6] = _mm512_unpacklo_epi32(v[6], v[7]);
 366    v1[7] = _mm512_unpackhi_epi32(v[6], v[7]);
 367    v1[8] = _mm512_unpacklo_epi32(v[8], v[9]);
 368    v1[9] = _mm512_unpackhi_epi32(v[8], v[9]);
 369    v1[10] = _mm512_unpacklo_epi32(v[10], v[11]);
 370    v1[11] = _mm512_unpackhi_epi32(v[10], v[11]);
 371    v1[12] = _mm512_unpacklo_epi32(v[12], v[13]);
 372    v1[13] = _mm512_unpackhi_epi32(v[12], v[13]);
 373    v1[14] = _mm512_unpacklo_epi32(v[14], v[15]);
 374    v1[15] = _mm512_unpackhi_epi32(v[14], v[15]);
 375
 376    v[0] = _mm512_unpacklo_epi64(v1[0], v1[2]);
 377    v[1] = _mm512_unpackhi_epi64(v1[0], v1[2]);
 378    v[2] = _mm512_unpacklo_epi64(v1[1], v1[3]);
 379    v[3] = _mm512_unpackhi_epi64(v1[1], v1[3]);
 380    v[4] = _mm512_unpacklo_epi64(v1[4], v1[6]);
 381    v[5] = _mm512_unpackhi_epi64(v1[4], v1[6]);
 382    v[6] = _mm512_unpacklo_epi64(v1[5], v1[7]);
 383    v[7] = _mm512_unpackhi_epi64(v1[5], v1[7]);
 384    v[8] = _mm512_unpacklo_epi64(v1[8], v1[10]);
 385    v[9] = _mm512_unpackhi_epi64(v1[8], v1[10]);
 386    v[10] = _mm512_unpacklo_epi64(v1[9], v1[11]);
 387    v[11] = _mm512_unpackhi_epi64(v1[9], v1[11]);
 388    v[12] = _mm512_unpacklo_epi64(v1[12], v1[14]);
 389    v[13] = _mm512_unpackhi_epi64(v1[12], v1[14]);
 390    v[14] = _mm512_unpacklo_epi64(v1[13], v1[15]);
 391    v[15] = _mm512_unpackhi_epi64(v1[13], v1[15]);
 392
 393    v1[0] = _mm512_shuffle_i32x4(v[0], v[4], 0x88);
 394    v1[1] = _mm512_shuffle_i32x4(v[1], v[5], 0x88);
 395    v1[2] = _mm512_shuffle_i32x4(v[2], v[6], 0x88);
 396    v1[3] = _mm512_shuffle_i32x4(v[3], v[7], 0x88);
 397    v1[4] = _mm512_shuffle_i32x4(v[0], v[4], 0xdd);
 398    v1[5] = _mm512_shuffle_i32x4(v[1], v[5], 0xdd);
 399    v1[6] = _mm512_shuffle_i32x4(v[2], v[6], 0xdd);
 400    v1[7] = _mm512_shuffle_i32x4(v[3], v[7], 0xdd);
 401    v1[8] = _mm512_shuffle_i32x4(v[8], v[12], 0x88);
 402    v1[9] = _mm512_shuffle_i32x4(v[9], v[13], 0x88);
 403    v1[10] = _mm512_shuffle_i32x4(v[10], v[14], 0x88);
 404    v1[11] = _mm512_shuffle_i32x4(v[11], v[15], 0x88);
 405    v1[12] = _mm512_shuffle_i32x4(v[8], v[12], 0xdd);
 406    v1[13] = _mm512_shuffle_i32x4(v[9], v[13], 0xdd);
 407    v1[14] = _mm512_shuffle_i32x4(v[10], v[14], 0xdd);
 408    v1[15] = _mm512_shuffle_i32x4(v[11], v[15], 0xdd);
 409
 410    v[0] = _mm512_shuffle_i32x4(v1[0], v1[8], 0x88);
 411    v[1] = _mm512_shuffle_i32x4(v1[1], v1[9], 0x88);
 412    v[2] = _mm512_shuffle_i32x4(v1[2], v1[10], 0x88);
 413    v[3] = _mm512_shuffle_i32x4(v1[3], v1[11], 0x88);
 414    v[4] = _mm512_shuffle_i32x4(v1[4], v1[12], 0x88);
 415    v[5] = _mm512_shuffle_i32x4(v1[5], v1[13], 0x88);
 416    v[6] = _mm512_shuffle_i32x4(v1[6], v1[14], 0x88);
 417    v[7] = _mm512_shuffle_i32x4(v1[7], v1[15], 0x88);
 418    v[8] = _mm512_shuffle_i32x4(v1[0], v1[8], 0xdd);
 419    v[9] = _mm512_shuffle_i32x4(v1[1], v1[9], 0xdd);
 420    v[10] = _mm512_shuffle_i32x4(v1[2], v1[10], 0xdd);
 421    v[11] = _mm512_shuffle_i32x4(v1[3], v1[11], 0xdd);
 422    v[12] = _mm512_shuffle_i32x4(v1[4], v1[12], 0xdd);
 423    v[13] = _mm512_shuffle_i32x4(v1[5], v1[13], 0xdd);
 424    v[14] = _mm512_shuffle_i32x4(v1[6], v1[14], 0xdd);
 425    v[15] = _mm512_shuffle_i32x4(v1[7], v1[15], 0xdd);
 426}
 427
 428void quantize_row_q8_K_vnni(const float * RESTRICT x, void * RESTRICT vy, int64_t k) {
 429    assert(k % QK_K == 0);
 430    const int KB = k / QK_K;
 431    constexpr int kVecs = QK_K / 16;
 432
 433    block_q8_K * y = reinterpret_cast<block_q8_K *>(vy);
 434
 435    // hold 16 float vecs from x
 436    __m512  v[kVecs];
 437
 438    // hold the quants vecs
 439    __m512i vq[kVecs / 4];
 440
 441    // hold the packed quants vecs
 442    __m512i vq_packed[kVecs / 4];
 443
 444    const __m512 signBit = _mm512_set1_ps(-0.f);
 445
 446    for (int i = 0; i < KB; ++i) {
 447        // Compute max(abs(e)) for the block
 448        __m512 vamax = _mm512_set1_ps(0.f);
 449        for (int j = 0; j < kVecs; ++j) {
 450            v[j] = _mm512_loadu_ps(x); x += 16;
 451            vamax = _mm512_max_ps(vamax, _mm512_andnot_ps(signBit, v[j]));
 452        }
 453        const float amax = _mm512_reduce_max_ps(vamax);
 454
 455        // Quantize these floats
 456        const float iscale = 127.f / amax;
 457        y[i].d = GGML_CPU_FP32_TO_FP16(1 / iscale);
 458        const float id = ( amax != 0.0f ) ? iscale : 0.f;
 459        const __m512 vscale = _mm512_set1_ps(id);
 460
 461        // Apply multiplier and round to nearest integer
 462        for (int j = 0; j < kVecs; ++j) {
 463            v[j] = _mm512_mul_ps(v[j], vscale);
 464            v[j] = _mm512_roundscale_ps(v[j], (_MM_FROUND_TO_NEAREST_INT | _MM_FROUND_NO_EXC));
 465        }
 466
 467        // Pack to epi8 vecs
 468        for (int j = 0; j < kVecs / 4; ++j) {
 469            __m128i q8_0 = _mm512_cvtepi32_epi8(_mm512_cvtps_epi32(v[j * 4 + 0]));
 470            __m128i q8_1 = _mm512_cvtepi32_epi8(_mm512_cvtps_epi32(v[j * 4 + 1]));
 471            __m128i q8_2 = _mm512_cvtepi32_epi8(_mm512_cvtps_epi32(v[j * 4 + 2]));
 472            __m128i q8_3 = _mm512_cvtepi32_epi8(_mm512_cvtps_epi32(v[j * 4 + 3]));
 473
 474            __m256i q8_01 = _mm256_insertf128_si256(_mm256_castsi128_si256(q8_0), (q8_1), 1);
 475            __m256i q8_23 = _mm256_insertf128_si256(_mm256_castsi128_si256(q8_2), (q8_3), 1);
 476
 477            vq[j] = _mm512_inserti32x8(_mm512_castsi256_si512(q8_01), q8_23, 1);
 478            _mm512_storeu_si512((__m512i *)(y[i].qs + j * 64), vq[j]);
 479        }
 480
 481        // Compute the bsums with vnni
 482        transpose_16x4_32bit(vq, vq_packed);
 483
 484        const __m512i one = _mm512_set1_epi8(1);
 485        __m512i sum = _mm512_setzero_si512();
 486        for (int k = 0; k < 4; ++k) {
 487            sum = _mm512_dpbusd_epi32(sum, one, vq_packed[k]);
 488        }
 489        _mm256_storeu_si256((__m256i *)(y[i].bsums), _mm512_cvtepi32_epi16(sum));
 490    }
 491}
 492
 493// quantize A from float to `vec_dot_type`
 494template <typename T>
 495inline void from_float(const float * x, char * vy, int64_t k);
 496
 497template <>
 498inline void from_float<block_q8_0>(const float * x, char * vy, int64_t k) {
 499    quantize_row_q8_0(x, (block_q8_0 *)vy, k);
 500}
 501
 502template <>
 503inline void from_float<block_q8_1>(const float * x, char * vy, int64_t k) {
 504    quantize_row_q8_1(x, (block_q8_1 *)vy, k);
 505}
 506
 507template <>
 508inline void from_float<block_q8_K>(const float * x, char * vy, int64_t k) {
 509#if 1
 510    // TODO: this is reference impl!
 511    quantize_row_q8_K_ref(x, (block_q8_K *)vy, k);
 512#else
 513    quantize_row_q8_K_vnni(x, vy, k);
 514#endif
 515}
 516
 517// load A from memory to array when nrows can not fill in whole tile
 518void unpack_A(int8_t * RESTRICT tile, const block_q8_0 * RESTRICT A, int lda, int nr) {
 519    assert(nr != TILE_M);
 520    for (int m = 0; m < nr; ++m) {
 521        const __m256i v = _mm256_loadu_si256((const __m256i *)(A[m * lda].qs));
 522        _mm256_storeu_si256((__m256i *)(tile + m * TILE_K), v);
 523    }
 524}
 525
 526void unpack_A(int8_t * RESTRICT tile, const block_q8_1 * RESTRICT A, int lda, int nr) {
 527    assert(nr != TILE_M);
 528    for (int m = 0; m < nr; ++m) {
 529        const __m256i v = _mm256_loadu_si256((const __m256i *)(A[m * lda].qs));
 530        _mm256_storeu_si256((__m256i *)(tile + m * TILE_K), v);
 531    }
 532}
 533
 534template <typename TB>
 535void unpack_A(int8_t * RESTRICT tile, const block_q8_K * RESTRICT A, int lda, int k, int nr) {
 536    assert(nr <= TILE_M);
 537    for (int m = 0; m < nr; ++m) {
 538        const __m256i v = _mm256_loadu_si256((const __m256i *)(A[m * lda].qs + k * 32));
 539        _mm256_storeu_si256((__m256i *)(tile + m * TILE_K), v);
 540    }
 541}
 542
 543template <>
 544void unpack_A<block_q6_K>(int8_t * RESTRICT tile, const block_q8_K * RESTRICT A, int lda, int k, int nr) {
 545    assert(nr <= TILE_M);
 546    // zero padding k from 16 to 32, so that we don't have to re-config amx
 547    const __m128i zero = _mm_setzero_si128();
 548    for (int m = 0; m < nr; ++m) {
 549        const __m128i v = _mm_loadu_si128((const __m128i *)(A[m * lda].qs + k * 16));
 550        const __m256i r = _mm256_insertf128_si256(_mm256_castsi128_si256(v), zero, 1);
 551        _mm256_storeu_si256((__m256i *)(tile + m * TILE_K), r);
 552    }
 553}
 554
 555#define MM256_SET_M128I(a, b) _mm256_insertf128_si256(_mm256_castsi128_si256(b), (a), 1)
 556inline __m256i bytes_from_nibbles_32(const uint8_t * rsi) {
 557    const __m128i tmp = _mm_loadu_si128((const __m128i *)rsi);
 558    const __m256i bytes = MM256_SET_M128I(_mm_srli_epi16(tmp, 4), tmp);
 559    const __m256i lowMask = _mm256_set1_epi8(0xF);
 560    return _mm256_and_si256(lowMask, bytes);
 561}
 562
 563// used for block_q4_K
 564inline __m512i bytes_from_nibbles_64(const uint8_t * rsi) {
 565    const __m256i tmp = _mm256_loadu_si256((const __m256i *)rsi);
 566    const __m256i lowMask = _mm256_set1_epi8(0xF);
 567    const __m256i q4l = _mm256_and_si256(tmp, lowMask);
 568    const __m256i q4h = _mm256_and_si256(_mm256_srli_epi16(tmp, 4), lowMask);
 569    return _mm512_inserti32x8(_mm512_castsi256_si512(q4l), q4h, 1);
 570}
 571
 572// used for block_q5_K
 573inline __m512i bytes_from_nibbles_64(const uint8_t * qs, const uint8_t * qh, int k) {
 574    const __m256i lowMask = _mm256_set1_epi8(0xF);
 575    __m256i hmask = _mm256_set1_epi8(1);
 576    hmask = _mm256_slli_epi16(hmask, k);
 577
 578    const __m256i q5bits = _mm256_loadu_si256((const __m256i *)qs);
 579    const __m256i hbits = _mm256_loadu_si256((const __m256i *)qh);
 580
 581    const __m256i q5l_0 = _mm256_and_si256(q5bits, lowMask);
 582    const __m256i q5h_0 = _mm256_slli_epi16(_mm256_srli_epi16(_mm256_and_si256(hbits, hmask), k + 0), 4);
 583    const __m256i q5_0  = _mm256_add_epi8(q5l_0, q5h_0);
 584    hmask = _mm256_slli_epi16(hmask, 1);
 585
 586    const __m256i q5l_1 = _mm256_and_si256(_mm256_srli_epi16(q5bits, 4), lowMask);
 587    const __m256i q5h_1 = _mm256_slli_epi16(_mm256_srli_epi16(_mm256_and_si256(hbits, hmask), k + 1), 4);
 588    const __m256i q5_1  = _mm256_add_epi8(q5l_1, q5h_1);
 589
 590    return _mm512_inserti32x8(_mm512_castsi256_si512(q5_0), q5_1, 1);
 591}
 592
 593// used for block_q6_K
 594inline void bytes_from_nibbles_128(__m512i& r0, __m512i& r1, const uint8_t * qs, const uint8_t * qh) {
 595    const __m256i m4 = _mm256_set1_epi8(0xF);
 596    const __m256i m2 = _mm256_set1_epi8(0x3);
 597
 598    const __m256i q6bits1 = _mm256_loadu_si256((const __m256i *)qs);
 599    const __m256i q6bits2 = _mm256_loadu_si256((const __m256i *)(qs + 32));
 600    const __m256i q6bitsH = _mm256_loadu_si256((const __m256i *)qh);
 601
 602    const __m256i q6h_0 = _mm256_slli_epi16(_mm256_and_si256(                  q6bitsH,     m2), 4);
 603    const __m256i q6h_1 = _mm256_slli_epi16(_mm256_and_si256(_mm256_srli_epi16(q6bitsH, 2), m2), 4);
 604    const __m256i q6h_2 = _mm256_slli_epi16(_mm256_and_si256(_mm256_srli_epi16(q6bitsH, 4), m2), 4);
 605    const __m256i q6h_3 = _mm256_slli_epi16(_mm256_and_si256(_mm256_srli_epi16(q6bitsH, 6), m2), 4);
 606
 607    const __m256i q6_0 = _mm256_or_si256(_mm256_and_si256(q6bits1, m4), q6h_0);
 608    const __m256i q6_1 = _mm256_or_si256(_mm256_and_si256(q6bits2, m4), q6h_1);
 609    const __m256i q6_2 = _mm256_or_si256(_mm256_and_si256(_mm256_srli_epi16(q6bits1, 4), m4), q6h_2);
 610    const __m256i q6_3 = _mm256_or_si256(_mm256_and_si256(_mm256_srli_epi16(q6bits2, 4), m4), q6h_3);
 611
 612    r0 = _mm512_inserti32x8(_mm512_castsi256_si512(q6_0), q6_1, 1);
 613    r1 = _mm512_inserti32x8(_mm512_castsi256_si512(q6_2), q6_3, 1);
 614}
 615
 616inline __m512i packNibbles(__m512i r0, __m512i r1) {
 617    return _mm512_or_si512(r0, _mm512_slli_epi16(r1, 4));
 618}
 619
 620template <typename TB>
 621inline void pack_qs(void * RESTRICT packed_B, const TB * RESTRICT B, int KB) {
 622    int8_t tmp[8 * 64];
 623    __m256i v[8], v2[8];
 624    for (int n = 0; n < 8; ++n) {
 625        v[n] = bytes_from_nibbles_32(B[n * KB].qs);
 626    }
 627    transpose_8x8_32bit(v, v2);
 628    for (int n = 0; n < 8; ++n) {
 629        _mm256_storeu_si256((__m256i *)(tmp + n * 64), v2[n]);
 630    }
 631    for (int n = 0; n < 8; ++n) {
 632        v[n] = bytes_from_nibbles_32(B[(n + 8) * KB].qs);
 633    }
 634    transpose_8x8_32bit(v, v2);
 635    for (int n = 0; n < 8; ++n) {
 636        _mm256_storeu_si256((__m256i *)(tmp + n * 64 + 32), v2[n]);
 637    }
 638
 639    // pack again with 128 to fully utilize vector length
 640    for (int n = 0; n < 8; n += 2) {
 641        __m512i r0 = _mm512_loadu_si512((const __m512i *)(tmp + n * 64));
 642        __m512i r1 = _mm512_loadu_si512((const __m512i *)(tmp + n * 64 + 64));
 643        __m512i r1r0 = packNibbles(r0, r1);
 644        _mm512_storeu_si512((__m512i *)((char *)packed_B + n * 32), r1r0);
 645    }
 646}
 647
 648template <>
 649inline void pack_qs<block_q8_0>(void * RESTRICT packed_B, const block_q8_0 * RESTRICT B, int KB) {
 650    __m256i v[8], v2[8];
 651    for (int n = 0; n < 8; ++n) {
 652        v[n] = _mm256_loadu_si256((const __m256i *)(B[n * KB].qs));
 653    }
 654    transpose_8x8_32bit(v, v2);
 655    for (int n = 0; n < 8; ++n) {
 656        _mm256_storeu_si256((__m256i *)((char *)packed_B + n * 64), v2[n]);
 657    }
 658    for (int n = 0; n < 8; ++n) {
 659        v[n] = _mm256_loadu_si256((const __m256i *)(B[(n + 8) * KB].qs));
 660    }
 661    transpose_8x8_32bit(v, v2);
 662    for (int n = 0; n < 8; ++n) {
 663        _mm256_storeu_si256((__m256i *)((char *)packed_B + n * 64 + 32), v2[n]);
 664    }
 665}
 666
 667template <>
 668inline void pack_qs<block_q4_K>(void * RESTRICT packed_B, const block_q4_K * RESTRICT B, int KB) {
 669    __m512i v[16];
 670    // QK_K 256 with 8 groups, handle 2 groups at a time
 671    char * pb = (char *)packed_B;
 672    for (int k = 0; k < QK_K / 64; ++k) {
 673        // pack 2 groups { n, g,  k} to {g, k/4, 4n}
 674        //          e.g. {16, 2, 32} to {2,   8, 64}
 675        for (int n = 0; n < TILE_N; ++n) {
 676            v[n] = bytes_from_nibbles_64(B[n * KB].qs + k * 32);
 677        }
 678
 679        transpose_16x16_32bit(v);
 680
 681        // pack again with 128 to fully utilize vector length
 682        for (int n = 0; n < TILE_N; n += 2) {
 683            _mm512_storeu_si512((__m512i *)pb, packNibbles(v[n], v[n + 1]));
 684            pb += 64;
 685        }
 686    }
 687}
 688
 689template <>
 690inline void pack_qs<block_q5_K>(void * RESTRICT packed_B, const block_q5_K * RESTRICT B, int KB) {
 691    __m512i v[16];
 692    const __m512i lowMask = _mm512_set1_epi8(0xF);
 693    // QK_K 256 with 8 groups, handle 2 groups at a time
 694    char * pb = (char *)packed_B;
 695    char * ph = (char *)packed_B + (QK_K / 2) * TILE_N;
 696    for (int k = 0; k < QK_K / 64; ++k) {
 697        // pack 2 groups { n, g,  k} to {g, k/4, 4n}
 698        //          e.g. {16, 2, 32} to {2,   8, 64}
 699        for (int n = 0; n < TILE_N; ++n) {
 700            v[n] = bytes_from_nibbles_64(B[n * KB].qs + k * 32, B[n * KB].qh, /* group */2 * k);
 701        }
 702
 703        transpose_16x16_32bit(v);
 704
 705        // 1. pack lower 4bits with 2 groups
 706        for (int n = 0; n < TILE_N; n += 2) {
 707            // get lower 4 bits
 708            const __m512i r0 = _mm512_and_si512(v[n], lowMask);
 709            const __m512i r1 = _mm512_and_si512(v[n + 1], lowMask);
 710            _mm512_storeu_si512((__m512i *)pb, packNibbles(r0, r1)); pb += 64;
 711        }
 712
 713        // 2. pack higher 1bit with 2 groups
 714        const __m512i hmask = _mm512_set1_epi8(0x10);
 715        for (int g = 0; g < 2; ++g) {
 716            __m512i hbits = _mm512_setzero_si512();
 717            hbits = _mm512_add_epi8(hbits, _mm512_srli_epi16(_mm512_and_si512(v[g * 8 + 0], hmask), 4));
 718            hbits = _mm512_add_epi8(hbits, _mm512_srli_epi16(_mm512_and_si512(v[g * 8 + 1], hmask), 3));
 719            hbits = _mm512_add_epi8(hbits, _mm512_srli_epi16(_mm512_and_si512(v[g * 8 + 2], hmask), 2));
 720            hbits = _mm512_add_epi8(hbits, _mm512_srli_epi16(_mm512_and_si512(v[g * 8 + 3], hmask), 1));
 721            hbits = _mm512_add_epi8(hbits,                   _mm512_and_si512(v[g * 8 + 4], hmask)    );
 722            hbits = _mm512_add_epi8(hbits, _mm512_slli_epi16(_mm512_and_si512(v[g * 8 + 5], hmask), 1));
 723            hbits = _mm512_add_epi8(hbits, _mm512_slli_epi16(_mm512_and_si512(v[g * 8 + 6], hmask), 2));
 724            hbits = _mm512_add_epi8(hbits, _mm512_slli_epi16(_mm512_and_si512(v[g * 8 + 7], hmask), 3));
 725            _mm512_storeu_si512((__m512i *)ph, hbits); ph += 64;
 726        }
 727    }
 728}
 729
 730template <>
 731inline void pack_qs<block_q6_K>(void * RESTRICT packed_B, const block_q6_K * RESTRICT B, int KB) {
 732    __m512i v[32];
 733    const __m512i lowMask = _mm512_set1_epi8(0xF);
 734    // QK_K 256 with 8 groups, handle 4 groups at a time
 735    char * pb = (char *)packed_B;
 736    char * ph = (char *)packed_B + (QK_K / 2) * TILE_N;
 737    for (int k = 0; k < QK_K / 128; ++k) {
 738        for (int n = 0; n < TILE_N; ++n) {
 739            bytes_from_nibbles_128(v[n], v[n + 16], B[n * KB].ql + k * 64, B[n * KB].qh + k * 32);
 740        }
 741
 742        // top half: group 0,1 or 4,5; bottom half: group 2,3 or 6,7
 743        transpose_16x16_32bit(v);
 744        transpose_16x16_32bit(v + 16);
 745
 746        // 1. pack lower 4bits with 4 groups
 747        for (int n = 0; n < 32; n += 2) {
 748            const __m512i r0 = _mm512_and_si512(v[n], lowMask);
 749            const __m512i r1 = _mm512_and_si512(v[n + 1], lowMask);
 750            _mm512_storeu_si512((__m512i *)pb, packNibbles(r0, r1)); pb += 64;
 751        }
 752
 753        // 2. pack higher 2bit with 4 groups
 754        const __m512i hmask = _mm512_set1_epi8(0x30);
 755        for (int g = 0; g < 8; ++g) {
 756            __m512i hbits = _mm512_setzero_si512();
 757            hbits = _mm512_add_epi8(hbits, _mm512_srli_epi16(_mm512_and_si512(v[g * 4 + 0], hmask), 4));
 758            hbits = _mm512_add_epi8(hbits, _mm512_srli_epi16(_mm512_and_si512(v[g * 4 + 1], hmask), 2));
 759            hbits = _mm512_add_epi8(hbits,                   _mm512_and_si512(v[g * 4 + 2], hmask)    );
 760            hbits = _mm512_add_epi8(hbits, _mm512_slli_epi16(_mm512_and_si512(v[g * 4 + 3], hmask), 2));
 761            _mm512_storeu_si512((__m512i *)ph, hbits); ph += 64;
 762        }
 763    }
 764}
 765
 766template <>
 767inline void pack_qs<block_iq4_xs>(void * RESTRICT packed_B, const block_iq4_xs * RESTRICT B, int KB) {
 768    __m512i v[16];
 769    char * pb = (char *)packed_B;
 770    for (int k = 0; k < QK_K / 64; ++k) {
 771        for (int n = 0; n < TILE_N; ++n) {
 772            __m256i r0 = bytes_from_nibbles_32(B[n * KB].qs + k * 32 +  0);
 773            __m256i r1 = bytes_from_nibbles_32(B[n * KB].qs + k * 32 + 16);
 774            v[n] = _mm512_inserti32x8(_mm512_castsi256_si512(r0), r1, 1);
 775        }
 776
 777        transpose_16x16_32bit(v);
 778
 779        // pack again with 128 to fully utilize vector length
 780        for (int n = 0; n < TILE_N; n += 2) {
 781            _mm512_storeu_si512((__m512i *)pb, packNibbles(v[n], v[n + 1]));
 782            pb += 64;
 783        }
 784    }
 785}
 786
 787// pack B to vnni formats in 4bits or 8 bits
 788void pack_B(void * RESTRICT packed_B, const block_q4_0 * RESTRICT B, int KB) {
 789    pack_qs(packed_B, B, KB);
 790    ggml_half * d0 = reinterpret_cast<ggml_half *>((char *)packed_B + TILE_N * TILE_K / 2);
 791    for (int n = 0; n < TILE_N; ++n) {
 792        d0[n] = B[n * KB].d;
 793    }
 794}
 795
 796void pack_B(void * RESTRICT packed_B, const block_q4_1 * RESTRICT B, int KB) {
 797    pack_qs(packed_B, B, KB);
 798    ggml_half * d0 = reinterpret_cast<ggml_half *>((char *)packed_B + TILE_N * TILE_K / 2);
 799    ggml_half * m0 = d0 + TILE_N;
 800    for (int n = 0; n < TILE_N; ++n) {
 801        d0[n] = B[n * KB].d;
 802        m0[n] = B[n * KB].m;
 803    }
 804}
 805
 806inline void s8s8_compensation(void * RESTRICT packed_B) {
 807    // packed_B layout:
 808    //   quants {TILE_N, TILEK}  int8_t
 809    //   d0     {TILE_N}      ggml_half
 810    //   comp   {TILE_N}        int32_t
 811    const int offset = TILE_N * TILE_K + TILE_N * sizeof(ggml_half);
 812    __m512i vcomp = _mm512_setzero_si512();
 813    const __m512i off = _mm512_set1_epi8(static_cast<char>(0x80));
 814    for (int k = 0; k < 8; ++k) {
 815        __m512i vb = _mm512_loadu_si512((const __m512i *)((const char *)packed_B + k * 64));
 816        vcomp = _mm512_dpbusd_epi32(vcomp, off, vb);
 817    }
 818    _mm512_storeu_si512((__m512i *)((char *)(packed_B) + offset), vcomp);
 819}
 820
 821void pack_B(void * RESTRICT packed_B, const block_q8_0 * RESTRICT B, int KB) {
 822    pack_qs(packed_B, B, KB);
 823    ggml_half * d0 = reinterpret_cast<ggml_half *>((char *)packed_B + TILE_N * TILE_K);
 824    for (int n = 0; n < TILE_N; ++n) {
 825        d0[n] = B[n * KB].d;
 826    }
 827    s8s8_compensation(packed_B);
 828}
 829
 830// convert 8 * {min, scale} from int6 to int8
 831inline void unpack_mins_and_scales(const uint8_t * scales, uint32_t * utmp) {
 832    const uint32_t kmask1 = 0x3f3f3f3f;
 833    const uint32_t kmask2 = 0x0f0f0f0f;
 834    const uint32_t kmask3 = 0x03030303;
 835
 836    memcpy(utmp, scales, 12);
 837    utmp[3] = ((utmp[2] >> 4) & kmask2) | (((utmp[1] >> 6) & kmask3) << 4);
 838    const uint32_t uaux = utmp[1] & kmask1;
 839    utmp[1] = (utmp[2] & kmask2) | (((utmp[0] >> 6) & kmask3) << 4);
 840    utmp[2] = uaux;
 841    utmp[0] &= kmask1;
 842}
 843
 844// packed_B layout:
 845//   quants {8, TILE_N, 16}  uint8
 846//   scales {8, TILE_N}      uint8
 847//   mins   {8, TILE_N}      uint8
 848//   d      {TILE_N}     ggml_half
 849//   dmin   {TILE_N}     ggml_half
 850void pack_B(void * RESTRICT packed_B, const block_q4_K * RESTRICT B, int KB) {
 851    pack_qs(packed_B, B, KB);
 852
 853    uint8_t * scales = reinterpret_cast<uint8_t *>((char *)packed_B + (QK_K / 2) * TILE_N);
 854    uint8_t * mins = scales + 8 * TILE_N;
 855    ggml_half * d = reinterpret_cast<ggml_half *>(mins + 8 * TILE_N);
 856    ggml_half * dmin = d + TILE_N;
 857
 858    union {
 859        uint32_t u32[4];
 860        uint8_t  u8[16];
 861    } s;
 862
 863    for (int n = 0; n < TILE_N; ++n) {
 864        unpack_mins_and_scales(B[n * KB].scales, s.u32);
 865        for (int k = 0; k < 8; ++k) {
 866            scales[k * TILE_N + n] = s.u8[k];
 867            mins[(k >> 1) * TILE_N * 2 + n * 2 + (k & 0x1)] = s.u8[k + 8];
 868        }
 869        d[n] = B[n * KB].d;
 870        dmin[n] = B[n * KB].dmin;
 871    }
 872}
 873
 874// packed_B layout:
 875//   quants {8, TILE_N, 16}  uint8
 876//   qh     {8, TILE_N,  4}  uint8
 877//   scales {8, TILE_N}      uint8
 878//   mins   {8, TILE_N}      uint8
 879//   d      {TILE_N}     ggml_half
 880//   dmin   {TILE_N}     ggml_half
 881void pack_B(void * RESTRICT packed_B, const block_q5_K * RESTRICT B, int KB) {
 882    pack_qs(packed_B, B, KB);
 883
 884    uint8_t * scales = reinterpret_cast<uint8_t *>((char *)packed_B + (QK_K / 2) * TILE_N + (QK_K / 8) * TILE_N);
 885    uint8_t * mins = scales + 8 * TILE_N;
 886    ggml_half * d = reinterpret_cast<ggml_half *>(mins + 8 * TILE_N);
 887    ggml_half * dmin = d + TILE_N;
 888
 889    union {
 890        uint32_t u32[4];
 891        uint8_t  u8[16];
 892    } s;
 893
 894    for (int n = 0; n < TILE_N; ++n) {
 895        unpack_mins_and_scales(B[n * KB].scales, s.u32);
 896        for (int k = 0; k < 8; ++k) {
 897            scales[k * TILE_N + n] = s.u8[k];
 898            mins[(k >> 1) * TILE_N * 2 + n * 2 + (k & 0x1)] = s.u8[k + 8];
 899        }
 900        d[n] = B[n * KB].d;
 901        dmin[n] = B[n * KB].dmin;
 902    }
 903}
 904
 905// packed_B layout:
 906//   quants {16, TILE_N, 8}  uint8
 907//   qh     {16, TILE_N, 4}  uint8
 908//   scales {16, TILE_N}      uint8
 909//   d      {TILE_N}     ggml_half
 910void pack_B(void * RESTRICT packed_B, const block_q6_K * RESTRICT B, int KB) {
 911    pack_qs(packed_B, B, KB);
 912
 913    uint8_t * scales = reinterpret_cast<uint8_t *>((char *)packed_B + (QK_K / 2) * TILE_N + (QK_K / 4) * TILE_N);
 914    ggml_half * d = reinterpret_cast<ggml_half *>(scales + 16 * TILE_N);
 915    for (int n = 0; n < TILE_N; ++n) {
 916        const int8_t * ps = B[n * KB].scales;
 917        for (int k = 0; k < 16; ++k) {
 918            scales[k * TILE_N + n] = ps[k];
 919        }
 920        d[n] = B[n * KB].d;
 921    }
 922}
 923
 924// packed_B layout:
 925//   quants {8, TILE_N, 16}  uint8
 926//   scales {8, TILE_N}       int8
 927//   d      {TILE_N}     ggml_half
 928void pack_B(void * RESTRICT packed_B, const block_iq4_xs * RESTRICT B, int KB) {
 929    pack_qs(packed_B, B, KB);
 930
 931    int8_t * scales = reinterpret_cast<int8_t *>((char *)packed_B + (QK_K / 2) * TILE_N);
 932    ggml_half * d = reinterpret_cast<ggml_half *>(scales + 8 * TILE_N);
 933
 934    // pack the scales
 935    for (int n = 0; n < TILE_N; ++n) {
 936        uint16_t sh = B[n * KB].scales_h;
 937        for (int k = 0; k < 8; k += 2) {
 938            const int16_t ls1 = ((B[n * KB].scales_l[k / 2] & 0xf) | ((sh << 4) & 0x30)) - 32;
 939            const int16_t ls2 = ((B[n * KB].scales_l[k / 2] >>  4) | ((sh << 2) & 0x30)) - 32;
 940            scales[(k + 0) * TILE_N + n] = ls1;
 941            scales[(k + 1) * TILE_N + n] = ls2;
 942            sh >>= 4;
 943        }
 944        d[n] = B[n * KB].d;
 945    }
 946}
 947
 948template<typename TB, typename packed_B_t = packed_B_type<TB>>
 949void unpack_B(packed_B_t * RESTRICT tile, const void * RESTRICT packed_B) {
 950    GGML_UNUSED(tile);
 951    GGML_UNUSED(packed_B);
 952}
 953
 954template <>
 955void unpack_B<block_q4_0>(int8_t * RESTRICT tile, const void * RESTRICT packed_B) {
 956  const __m512i off = _mm512_set1_epi8(8);
 957  const __m512i lowMask = _mm512_set1_epi8(0xF);
 958  for (int n = 0; n < 8; n += 2) {
 959    __m512i bytes = _mm512_loadu_si512((const __m512i *)((const char *)packed_B + n * 32));
 960    const __m512i r0 = _mm512_sub_epi8(_mm512_and_si512(bytes, lowMask), off);
 961    const __m512i r1 = _mm512_sub_epi8(_mm512_and_si512(_mm512_srli_epi16(bytes, 4), lowMask), off);
 962    _mm512_storeu_si512((__m512i *)(tile + n * 64 +  0), r0);
 963    _mm512_storeu_si512((__m512i *)(tile + n * 64 + 64), r1);
 964  }
 965}
 966
 967template <>
 968void unpack_B<block_q4_1>(uint8_t * RESTRICT tile, const void * RESTRICT packed_B) {
 969    const __m512i lowMask = _mm512_set1_epi8(0xF);
 970    for (int n = 0; n < 8; n += 2) {
 971        __m512i bytes = _mm512_loadu_si512((const __m512i *)((const char *)packed_B + n * 32));
 972        const __m512i r0 = _mm512_and_si512(bytes, lowMask);
 973        const __m512i r1 = _mm512_and_si512(_mm512_srli_epi16(bytes, 4), lowMask);
 974        _mm512_storeu_si512((__m512i *)(tile + n * 64 +  0), r0);
 975        _mm512_storeu_si512((__m512i *)(tile + n * 64 + 64), r1);
 976    }
 977}
 978
 979// packed_B_t for QKK is int8_t
 980template <typename TB>
 981void unpack_B(int8_t * RESTRICT tile, const void * RESTRICT packed_B, int k) {
 982    const int packed_B_group_size = QK_K / 2 * TILE_N / 8;
 983    const char * packed_B_group = (const char *)packed_B + k * packed_B_group_size;
 984    const __m512i lowMask = _mm512_set1_epi8(0xF);
 985    for (int n = 0; n < 8; n += 2) {
 986        __m512i bytes = _mm512_loadu_si512(packed_B_group + n * 32);
 987        const __m512i r0 = _mm512_and_si512(bytes, lowMask);
 988        const __m512i r1 = _mm512_and_si512(_mm512_srli_epi16(bytes, 4), lowMask);
 989        _mm512_storeu_si512((__m512i *)(tile + n * 64 +  0), r0);
 990        _mm512_storeu_si512((__m512i *)(tile + n * 64 + 64), r1);
 991    }
 992}
 993
 994template <>
 995void unpack_B<block_q5_K>(int8_t * RESTRICT tile, const void * RESTRICT packed_B, int k) {
 996    // lower 4bits, stride 256 bytes
 997    const int packed_l4_group_size = QK_K / 2 * TILE_N / 8;
 998    const char * pb = (const char *)packed_B + k * packed_l4_group_size;
 999
1000    // higher 1bit, stride 64 bytes
1001    const int packed_h1_group_size = QK_K / 8 * TILE_N / 8;
1002    const char * ph = (const char *)packed_B + (QK_K / 2) * TILE_N + k * packed_h1_group_size;
1003    const __m512i hbits = _mm512_loadu_si512(ph);
1004
1005    const __m512i lowMask = _mm512_set1_epi8(0xF);
1006    __m512i hmask0 = _mm512_set1_epi8(0x1);
1007    __m512i hmask1 = _mm512_set1_epi8(0x2);
1008
1009    for (int n = 0; n < 8; n += 2) {
1010        __m512i bytes = _mm512_loadu_si512(pb + n * 32);
1011        __m512i r0 = _mm512_and_si512(bytes, lowMask);
1012        __m512i r1 = _mm512_and_si512(_mm512_srli_epi16(bytes, 4), lowMask);
1013        __m512i h0 = _mm512_slli_epi16(_mm512_srli_epi16(_mm512_and_si512(hbits, hmask0), n), 4);
1014        __m512i h1 = _mm512_slli_epi16(_mm512_srli_epi16(_mm512_and_si512(hbits, hmask1), n + 1), 4);
1015
1016        hmask0 = _mm512_slli_epi16(hmask0, 2);
1017        hmask1 = _mm512_slli_epi16(hmask1, 2);
1018        r0 = _mm512_add_epi8(r0, h0);
1019        r1 = _mm512_add_epi8(r1, h1);
1020        _mm512_storeu_si512((__m512i *)(tile + n * 64 +  0), r0);
1021        _mm512_storeu_si512((__m512i *)(tile + n * 64 + 64), r1);
1022    }
1023}
1024
1025template <>
1026void unpack_B<block_q6_K>(int8_t * RESTRICT tile, const void * RESTRICT packed_B, int k) {
1027    // lower 4bits, stride 128 bytes
1028    const int packed_l4_group_size = QK_K / 2 * TILE_N / 16;
1029    const char * pb = (const char *)packed_B + k * packed_l4_group_size;
1030
1031    // higher 2bits, stride 64 bytes
1032    const int packed_h2_group_size = QK_K / 4 * TILE_N / 16;
1033    const char * ph = (const char *)packed_B + (QK_K / 2) * TILE_N + k * packed_h2_group_size;
1034    const __m512i hbits = _mm512_loadu_si512(ph);
1035
1036    const __m512i off = _mm512_set1_epi8(32);
1037    const __m512i lowMask = _mm512_set1_epi8(0xF);
1038    __m512i hmask0 = _mm512_set1_epi8(0x3); // 0011
1039    __m512i hmask1 = _mm512_set1_epi8(0xC); // 1100
1040
1041    // notes: skip zero padding from row4 to row7 as we have done so in `unpack_A`
1042    __m512i bytes = _mm512_loadu_si512(pb);
1043    __m512i r0 = _mm512_and_si512(bytes, lowMask);
1044    __m512i r1 = _mm512_and_si512(_mm512_srli_epi16(bytes, 4), lowMask);
1045    __m512i h0 = _mm512_slli_epi16(_mm512_and_si512(hbits, hmask0), 4);
1046    __m512i h1 = _mm512_slli_epi16(_mm512_and_si512(hbits, hmask1), 2);
1047    _mm512_storeu_si512((__m512i *)(tile +  0), _mm512_sub_epi8(_mm512_add_epi8(r0, h0), off));
1048    _mm512_storeu_si512((__m512i *)(tile + 64), _mm512_sub_epi8(_mm512_add_epi8(r1, h1), off));
1049
1050    hmask0 = _mm512_slli_epi16(hmask0, 4);
1051    hmask1 = _mm512_slli_epi16(hmask1, 4);
1052
1053    bytes = _mm512_loadu_si512(pb + 64);
1054    r0 = _mm512_and_si512(bytes, lowMask);
1055    r1 = _mm512_and_si512(_mm512_srli_epi16(bytes, 4), lowMask);
1056    h0 =                   _mm512_and_si512(hbits, hmask0);
1057    h1 = _mm512_srli_epi16(_mm512_and_si512(hbits, hmask1), 2);
1058    _mm512_storeu_si512((__m512i *)(tile + 128), _mm512_sub_epi8(_mm512_add_epi8(r0, h0), off));
1059    _mm512_storeu_si512((__m512i *)(tile + 192), _mm512_sub_epi8(_mm512_add_epi8(r1, h1), off));
1060}
1061
1062template <>
1063void unpack_B<block_iq4_xs>(int8_t * RESTRICT tile, const void * RESTRICT packed_B, int k) {
1064    static const __m512i values128 = _mm512_set_epi8(
1065        113, 89, 69, 53, 38, 25, 13, 1, -10, -22, -35, -49, -65, -83, -104, -127,
1066        113, 89, 69, 53, 38, 25, 13, 1, -10, -22, -35, -49, -65, -83, -104, -127,
1067        113, 89, 69, 53, 38, 25, 13, 1, -10, -22, -35, -49, -65, -83, -104, -127,
1068        113, 89, 69, 53, 38, 25, 13, 1, -10, -22, -35, -49, -65, -83, -104, -127
1069    );
1070
1071    const int packed_B_group_size = QK_K / 2 * TILE_N / 8;
1072    const char * pb = (const char *)packed_B + k * packed_B_group_size;
1073    const __m512i lowMask = _mm512_set1_epi8(0xF);
1074
1075    for (int n = 0; n < 8; n += 2) {
1076        __m512i bytes = _mm512_loadu_si512(pb + n * 32);
1077        const __m512i r0 = _mm512_shuffle_epi8(values128, _mm512_and_si512(bytes, lowMask));
1078        const __m512i r1 = _mm512_shuffle_epi8(values128, _mm512_and_si512(_mm512_srli_epi16(bytes, 4), lowMask));
1079        _mm512_storeu_si512((__m512i *)(tile + n * 64 +  0), r0);
1080        _mm512_storeu_si512((__m512i *)(tile + n * 64 + 64), r1);
1081    }
1082}
1083
1084template <typename TA, typename TB, bool is_acc>
1085struct acc_C {};
1086
1087template <bool is_acc>
1088struct acc_C<block_q8_0, block_q4_0, is_acc> {
1089    static void apply(float * RESTRICT C, int ldc, const int32_t * RESTRICT tile, const block_q8_0 * A, int lda, const void * packed_B, int nr) {
1090        const int offset = TILE_N * TILE_K / 2;
1091        const __m512 vd0 = _mm512_cvtph_ps(_mm256_loadu_si256((const __m256i *)((const char *)packed_B + offset)));
1092
1093        for (int m = 0; m < nr; ++m) {
1094            const __m512 vd1 = _mm512_set1_ps(GGML_CPU_FP16_TO_FP32(A[m * lda].d));
1095            const __m512 vtile = _mm512_cvtepi32_ps(_mm512_loadu_si512(tile + m * TILE_N));
1096
1097            __m512 vsum;
1098            if (is_acc) {
1099                vsum = _mm512_loadu_ps(C + m * ldc);
1100            } else {
1101                vsum = _mm512_set1_ps(0.f);
1102            }
1103            vsum = _mm512_fmadd_ps(vtile, _mm512_mul_ps(vd0, vd1), vsum);
1104            _mm512_storeu_ps(C + m * ldc, vsum);
1105        }
1106    }
1107};
1108
1109template <bool is_acc>
1110struct acc_C<block_q8_1, block_q4_1, is_acc> {
1111    static void apply(float * RESTRICT C, int ldc, const int32_t * RESTRICT tile, const block_q8_1 * A, int lda, const void * packed_B, int nr) {
1112        const int offset = TILE_N * TILE_K / 2;
1113        const __m512 vd0 = _mm512_cvtph_ps(_mm256_loadu_si256((const __m256i *)((const char *)packed_B + offset)));
1114        const __m512 vm0 = _mm512_cvtph_ps(_mm256_loadu_si256((const __m256i *)((const char *)packed_B + offset + TILE_N * sizeof(ggml_half))));
1115
1116        for (int m = 0; m < nr; ++m) {
1117            const __m512 vd1 = _mm512_set1_ps(GGML_CPU_FP16_TO_FP32(A[m * lda].d));
1118            const __m512 vs1 = _mm512_set1_ps(GGML_CPU_FP16_TO_FP32(A[m * lda].s));
1119            const __m512 vtile = _mm512_cvtepi32_ps(_mm512_loadu_si512(tile + m * TILE_N));
1120
1121            __m512 vsum;
1122            if (is_acc) {
1123                vsum = _mm512_loadu_ps(C + m * ldc);
1124            } else {
1125                vsum = _mm512_set1_ps(0.f);
1126            }
1127            vsum = _mm512_fmadd_ps(vtile, _mm512_mul_ps(vd0, vd1), vsum);
1128            vsum = _mm512_fmadd_ps(vm0, vs1, vsum);
1129            _mm512_storeu_ps(C + m * ldc, vsum);
1130        }
1131    }
1132};
1133
1134template <bool is_acc>
1135struct acc_C<block_q8_0, block_q8_0, is_acc> {
1136    static void apply(float * RESTRICT C, int ldc, const int32_t * RESTRICT tile, const block_q8_0 * A, int lda, const void * packed_B, int nr) {
1137        const int offset = TILE_N * TILE_K;
1138        const __m512 vd0 = _mm512_cvtph_ps(_mm256_loadu_si256((const __m256i *)((const char *)packed_B + offset)));
1139
1140        for (int m = 0; m < nr; ++m) {
1141            const __m512 vd1 = _mm512_set1_ps(GGML_CPU_FP16_TO_FP32(A[m * lda].d));
1142            const __m512 vtile = _mm512_cvtepi32_ps(_mm512_loadu_si512(tile + m * TILE_N));
1143
1144            __m512 vsum;
1145            if (is_acc) {
1146                vsum = _mm512_loadu_ps(C + m * ldc);
1147            } else {
1148                vsum = _mm512_set1_ps(0.f);
1149            }
1150            vsum = _mm512_fmadd_ps(vtile, _mm512_mul_ps(vd0, vd1), vsum);
1151            _mm512_storeu_ps(C + m * ldc, vsum);
1152        }
1153    }
1154};
1155
1156template <bool is_acc>
1157struct acc_C<block_q8_K, block_q4_K, is_acc> {
1158    static void apply(float * RESTRICT C, int ldc, const int32_t * RESTRICT tile, const block_q8_K * A, int lda, const void * packed_B, int nr) {
1159        const uint8_t * scales = reinterpret_cast<const uint8_t *>((const char *)packed_B + (QK_K / 2) * TILE_N);
1160        const uint8_t * mins = scales + 8 * TILE_N;
1161        const ggml_half * d0 = reinterpret_cast<const ggml_half *>(mins + 8 * TILE_N);
1162        const ggml_half * dmin = d0 + TILE_N;
1163
1164        const __m512 vd0 = _mm512_cvtph_ps(_mm256_loadu_si256((const __m256i *)d0));
1165        const __m512 vdmin = _mm512_cvtph_ps(_mm256_loadu_si256((const __m256i *)dmin));
1166
1167        for (int m = 0; m < nr; ++m) {
1168            const float d1 = A[m * lda].d;
1169            const __m512 vd = _mm512_mul_ps(_mm512_set1_ps(d1), vd0);
1170            const __m512 vdm = _mm512_mul_ps(_mm512_set1_ps(-d1), vdmin);
1171            const __m512 vtile = _mm512_cvtepi32_ps(_mm512_loadu_si512(tile + m * TILE_N));
1172
1173            __m512 vsum;
1174            if (is_acc) {
1175                vsum = _mm512_loadu_ps(C + m * ldc);
1176            } else {
1177                vsum = _mm512_set1_ps(0.f);
1178            }
1179
1180            const __m256i q8sums = _mm256_loadu_si256((const __m256i *)A[m * lda].bsums);
1181            const __m128i q8s = _mm_hadd_epi16(_mm256_extracti128_si256(q8sums, 0), _mm256_extracti128_si256(q8sums, 1));
1182
1183            __m512i acc_m = _mm512_setzero_si512();
1184            for (int k = 0; k < 4; ++k) {
1185                __m512i vmask = _mm512_set1_epi32(k);
1186                __m512i va = _mm512_permutexvar_epi32(vmask, _mm512_castsi128_si512(q8s));
1187                __m512i vb = _mm512_cvtepi8_epi16(_mm256_loadu_si256((const __m256i *)(mins + k * 32)));
1188                acc_m = _mm512_dpwssds_epi32(acc_m, va, vb);
1189            }
1190
1191            vsum = _mm512_fmadd_ps(vtile, vd, vsum);
1192            vsum = _mm512_fmadd_ps(_mm512_cvtepi32_ps(acc_m), vdm, vsum);
1193            _mm512_storeu_ps(C + m * ldc, vsum);
1194        }
1195    }
1196};
1197
1198template <bool is_acc>
1199struct acc_C<block_q8_K, block_q5_K, is_acc> {
1200    static void apply(float * RESTRICT C, int ldc, const int32_t * RESTRICT tile, const block_q8_K * A, int lda, const void * packed_B, int nr) {
1201        const uint8_t * scales = reinterpret_cast<const uint8_t *>((const char *)packed_B + (QK_K / 2) * TILE_N + (QK_K / 8) * TILE_N);
1202        const uint8_t * mins = scales + 8 * TILE_N;
1203        const ggml_half * d0 = reinterpret_cast<const ggml_half *>(mins + 8 * TILE_N);
1204        const ggml_half * dmin = d0 + TILE_N;
1205
1206        const __m512 vd0 = _mm512_cvtph_ps(_mm256_loadu_si256((const __m256i *)d0));
1207        const __m512 vdmin = _mm512_cvtph_ps(_mm256_loadu_si256((const __m256i *)dmin));
1208
1209        for (int m = 0; m < nr; ++m) {
1210            const float d1 = A[m * lda].d;
1211            const __m512 vd = _mm512_mul_ps(_mm512_set1_ps(d1), vd0);
1212            const __m512 vdm = _mm512_mul_ps(_mm512_set1_ps(-d1), vdmin);
1213            const __m512 vtile = _mm512_cvtepi32_ps(_mm512_loadu_si512(tile + m * TILE_N));
1214
1215            __m512 vsum;
1216            if (is_acc) {
1217                vsum = _mm512_loadu_ps(C + m * ldc);
1218            } else {
1219                vsum = _mm512_set1_ps(0.f);
1220            }
1221
1222            const __m256i q8sums = _mm256_loadu_si256((const __m256i *)A[m * lda].bsums);
1223            const __m128i q8s = _mm_hadd_epi16(_mm256_extracti128_si256(q8sums, 0), _mm256_extracti128_si256(q8sums, 1));
1224
1225            __m512i acc_m = _mm512_setzero_si512();
1226            for (int k = 0; k < 4; ++k) {
1227                __m512i vmask = _mm512_set1_epi32(k);
1228                __m512i va = _mm512_permutexvar_epi32(vmask, _mm512_castsi128_si512(q8s));
1229                __m512i vb = _mm512_cvtepi8_epi16(_mm256_loadu_si256((const __m256i *)(mins + k * 32)));
1230                acc_m = _mm512_dpwssds_epi32(acc_m, va, vb);
1231            }
1232
1233            vsum = _mm512_fmadd_ps(vtile, vd, vsum);
1234            vsum = _mm512_fmadd_ps(_mm512_cvtepi32_ps(acc_m), vdm, vsum);
1235            _mm512_storeu_ps(C + m * ldc, vsum);
1236        }
1237    }
1238};
1239
1240template <bool is_acc>
1241struct acc_C<block_q8_K, block_q6_K, is_acc> {
1242    static void apply(float * RESTRICT C, int ldc, const int32_t * RESTRICT tile, const block_q8_K * A, int lda, const void * packed_B, int nr) {
1243        const uint8_t * scales = reinterpret_cast<const uint8_t *>((const char *)packed_B + (QK_K / 2) * TILE_N + (QK_K / 4) * TILE_N);
1244        const ggml_half * d0 = reinterpret_cast<const ggml_half *>(scales + 16 * TILE_N);
1245
1246        const __m512 vd0 = _mm512_cvtph_ps(_mm256_loadu_si256((const __m256i *)d0));
1247
1248        for (int m = 0; m < nr; ++m) {
1249            const float d1 = A[m * lda].d;
1250            const __m512 vd = _mm512_mul_ps(_mm512_set1_ps(d1), vd0);
1251            const __m512 vtile = _mm512_cvtepi32_ps(_mm512_loadu_si512(tile + m * TILE_N));
1252
1253            __m512 vsum;
1254            if (is_acc) {
1255                vsum = _mm512_loadu_ps(C + m * ldc);
1256            } else {
1257                vsum = _mm512_set1_ps(0.f);
1258            }
1259
1260            vsum = _mm512_fmadd_ps(vtile, vd, vsum);
1261            _mm512_storeu_ps(C + m * ldc, vsum);
1262        }
1263    }
1264};
1265
1266template <bool is_acc>
1267struct acc_C<block_q8_K, block_iq4_xs, is_acc> {
1268    static void apply(float * RESTRICT C, int ldc, const int32_t * RESTRICT tile, const block_q8_K * A, int lda, const void * packed_B, int nr) {
1269        const int8_t * scales = reinterpret_cast<const int8_t *>((const char *)packed_B + (QK_K / 2) * TILE_N);
1270        const ggml_half * d0 = reinterpret_cast<const ggml_half *>(scales + 8 * TILE_N);
1271
1272        const __m512 vd0 = _mm512_cvtph_ps(_mm256_loadu_si256((const __m256i *)d0));
1273
1274        for (int m = 0; m < nr; ++m) {
1275            const float d1 = A[m * lda].d;
1276            const __m512 vd = _mm512_mul_ps(_mm512_set1_ps(d1), vd0);
1277            const __m512 vtile = _mm512_cvtepi32_ps(_mm512_loadu_si512(tile + m * TILE_N));
1278
1279            __m512 vsum;
1280            if (is_acc) {
1281                vsum = _mm512_loadu_ps(C + m * ldc);
1282            } else {
1283                vsum = _mm512_set1_ps(0.f);
1284            }
1285
1286            vsum = _mm512_fmadd_ps(vtile, vd, vsum);
1287            _mm512_storeu_ps(C + m * ldc, vsum);
1288        }
1289    }
1290};
1291
1292template <typename TB> constexpr int get_quants_size();
1293template <> constexpr int get_quants_size<block_q4_K>() { return (QK_K / 2) * TILE_N; }
1294template <> constexpr int get_quants_size<block_q5_K>() { return (QK_K / 2) * TILE_N + (QK_K / 8) * TILE_N; }
1295template <> constexpr int get_quants_size<block_q6_K>() { return (QK_K / 2) * TILE_N + (QK_K / 4) * TILE_N; }
1296template <> constexpr int get_quants_size<block_iq4_xs>() { return (QK_K / 2) * TILE_N; }
1297
1298// used for QKK format
1299template <typename TB, bool is_acc,
1300          typename std::enable_if<is_type_qkk<TB>::value, int>::type = 0>
1301inline void scale_C(const int32_t * RESTRICT tile, int32_t * RESTRICT sumi, const void * packed_B, int k, int nr) {
1302    const uint8_t * scales = reinterpret_cast<const uint8_t *>((const char *)packed_B + get_quants_size<TB>());
1303    const __m512i vscale = _mm512_cvtepi8_epi32(_mm_loadu_si128((const __m128i *)(scales + k * TILE_N)));
1304
1305    for (int m = 0; m < nr; ++m) {
1306        __m512i vsumi;
1307        if (is_acc) {
1308            vsumi = _mm512_loadu_si512(sumi + m * TILE_N);
1309        } else {
1310            vsumi = _mm512_setzero_si512();
1311        }
1312        __m512i vtile = _mm512_loadu_si512(tile + m * TILE_N);
1313        vsumi = _mm512_add_epi32(vsumi, _mm512_mullo_epi32(vtile, vscale));
1314        _mm512_storeu_si512((__m512i *)(sumi + m * TILE_N), vsumi);
1315    }
1316}
1317
1318template <typename TA, typename TB, typename TC, int BLOCK_M, int BLOCK_N, int BLOCK_K>
1319struct tinygemm_kernel_avx {
1320    static void apply(int K, const TA * RESTRICT A, const TB * RESTRICT B, TC * RESTRICT C, int ldc) {
1321        GGML_UNUSED(K);
1322        GGML_UNUSED(A);
1323        GGML_UNUSED(B);
1324        GGML_UNUSED(C);
1325        GGML_UNUSED(ldc);
1326    }
1327};
1328
1329template <int BLOCK_M, int BLOCK_N, int BLOCK_K>
1330struct tinygemm_kernel_avx<float, ggml_fp16_t, float, BLOCK_M, BLOCK_N, BLOCK_K> {
1331    static void apply(int K, const float * RESTRICT A, const ggml_fp16_t * RESTRICT B, float * RESTRICT C, int ldc) {
1332        constexpr int ROWS = BLOCK_M;
1333        constexpr int COLS = BLOCK_N;
1334        assert(BLOCK_K == 16);
1335
1336        __m512 va;
1337        __m512 vb[COLS];
1338        __m512 vc[ROWS * COLS];
1339
1340        auto loadc = [&](auto idx) {
1341            vc[idx] = _mm512_setzero_ps();
1342        };
1343        Unroll<ROWS * COLS>{}(loadc);
1344
1345        auto compute = [&](auto idx, auto k) {
1346            constexpr int row = idx / COLS;
1347            constexpr int col = idx % COLS;
1348
1349            if constexpr (col == 0) {
1350                va = _mm512_loadu_ps(A + row * K + k);
1351            }
1352            if constexpr (row == 0) {
1353                vb[col] =  _mm512_cvtph_ps(_mm256_loadu_si256((const __m256i *)(B + col * K + k)));
1354            }
1355            vc[idx] = _mm512_fmadd_ps(va, vb[col], vc[idx]);
1356        };
1357
1358        for (int k = 0; k < K; k += 16) {
1359            Unroll<ROWS * COLS>{}(compute, k);
1360        }
1361
1362        auto storec = [&](auto idx) {
1363            constexpr int row = idx / COLS;
1364            constexpr int col = idx % COLS;
1365            C[row * ldc + col] = _mm512_reduce_add_ps(vc[idx]);
1366        };
1367        Unroll<ROWS * COLS>{}(storec);
1368    }
1369};
1370
1371#define LAUNCH_TINYGEMM_KERNEL_AVX(MB_SIZE, NB_SIZE)                                \
1372    tinygemm_kernel_avx<float, type, float, MB_SIZE, NB_SIZE, blck_size>::apply(    \
1373        K, (const float *)src1->data + mb_start * K,                                \
1374        (const type *)src0->data + nb_start * K,                                    \
1375        (float *)dst->data + mb_start * ldc + nb_start, ldc);
1376
1377
1378// re-organize in the format {NB, KB, TILE_SIZE}:
1379#define PACKED_INDEX(n, k, KB, tile_size) (n * KB + k) * tile_size
1380
1381template<typename TB, int BLOCK_K>
1382void convert_B_packed_format(void * RESTRICT packed_B, const TB * RESTRICT B, int N, int K) {
1383    const int NB = N / TILE_N;
1384    const int KB = K / BLOCK_K;
1385    const int TILE_SIZE = get_tile_size<TB>();
1386
1387    // parallel on NB should be enough
1388    parallel_for(NB, [&](int begin, int end) {
1389        for (int n = begin; n < end; ++n) {
1390            for (int k = 0; k < KB; ++k) {
1391                int n0 = n * TILE_N;
1392                pack_B((char *)packed_B + PACKED_INDEX(n, k, KB, TILE_SIZE), &B[n0 * KB + k], KB);
1393            }
1394        }
1395    });
1396}
1397
1398template <typename TA, typename TB, typename TC, int BLOCK_M, int BLOCK_N, int BLOCK_K>
1399struct tinygemm_kernel_vnni {};
1400
1401template <int BLOCK_M, int BLOCK_N, int BLOCK_K>
1402struct tinygemm_kernel_vnni<block_q8_0, block_q4_0, float, BLOCK_M, BLOCK_N, BLOCK_K> {
1403    static void apply(int KB, const void * RESTRICT _A, const void * RESTRICT _B, float * RESTRICT C, int ldc) {
1404
1405        constexpr int COLS = BLOCK_N / 16;
1406        const int TILE_SIZE = TILE_N * sizeof(block_q4_0);
1407
1408        const block_q8_0 * RESTRICT A = static_cast<const block_q8_0 *>(_A);
1409        const char * RESTRICT B = static_cast<const char *>(_B);
1410
1411        __m512i va[8];
1412        __m512 vc[COLS];
1413        __m512 vd1;
1414
1415        // sum of offsets, shared across COLS
1416        //
1417        // avx512-vnni does not have `_mm512_dpbssd_epi32`,
1418        // need to transfrom ss to us:
1419        //   a * (b - 8) is equavilent to b * a - 8 * a
1420        //   s    u   u                   u   s   u   s
1421        //
1422        __m512i vcomp;
1423
1424        const __m512i off = _mm512_set1_epi8(8);
1425        const __m512i lowMask = _mm512_set1_epi8(0xF);
1426
1427        auto loadc = [&](auto col) {
1428            vc[col] = _mm512_setzero_ps();
1429        };
1430        Unroll<COLS>{}(loadc);
1431
1432        auto compute = [&](auto col, auto i) {
1433            // load a and compute compensation
1434            if constexpr (col == 0) {
1435                const int32_t * a_ptr = reinterpret_cast<const int32_t *>(A[0 * KB + i].qs);
1436                vcomp = _mm512_setzero_si512();
1437                for (int k = 0; k < 8; ++k) {
1438                    va[k] = _mm512_set1_epi32(a_ptr[k]);
1439                    vcomp = _mm512_dpbusd_epi32(vcomp, off, va[k]);
1440                }
1441                vd1 = _mm512_set1_ps(GGML_CPU_FP16_TO_FP32(A[0 * KB + i].d));
1442            }
1443
1444            // load b
1445            __m512i vsum = _mm512_setzero_si512();
1446            const char * b_ptr = B + PACKED_INDEX(col, i, KB, TILE_SIZE);
1447            for (int k = 0; k < 8; k += 2) {
1448                __m512i bytes = _mm512_loadu_si512((const __m512i *)(b_ptr + k * 32));
1449                __m512i vb0 = _mm512_and_si512(bytes, lowMask);
1450                vsum = _mm512_dpbusd_epi32(vsum, vb0, va[k + 0]);
1451                __m512i vb1 = _mm512_and_si512(_mm512_srli_epi16(bytes, 4), lowMask);
1452                vsum = _mm512_dpbusd_epi32(vsum, vb1, va[k + 1]);
1453            }
1454            const int offset = TILE_N * TILE_K / 2;
1455            const __m512 vd0 = _mm512_cvtph_ps(_mm256_loadu_si256((const __m256i *)(b_ptr + offset)));
1456            vsum = _mm512_sub_epi32(vsum, vcomp);
1457
1458            vc[col] = _mm512_fmadd_ps(_mm512_cvtepi32_ps(vsum), _mm512_mul_ps(vd0, vd1), vc[col]);
1459        };
1460
1461        for (int i = 0; i < KB; ++i) {
1462            Unroll<COLS>{}(compute, i);
1463        }
1464
1465        //store to C
1466        auto storec = [&](auto col) {
1467            _mm512_storeu_ps((__m512i*)(C + 0 * ldc + col * 16), vc[col]);
1468        };
1469        Unroll<COLS>{}(storec);
1470    }
1471};
1472
1473template <int BLOCK_N, int BLOCK_K>
1474struct tinygemm_kernel_vnni<block_q8_1, block_q4_1, float, 1, BLOCK_N, BLOCK_K> {
1475    static void apply(int KB, const void * RESTRICT _A, const void * RESTRICT _B, float * RESTRICT C, int ldc) {
1476
1477        constexpr int COLS = BLOCK_N / 16;
1478        const int TILE_SIZE = TILE_N * sizeof(block_q4_1);
1479
1480        const block_q8_1 * RESTRICT A = static_cast<const block_q8_1 *>(_A);
1481        const char * RESTRICT B = static_cast<const char *>(_B);
1482
1483        __m512i va[8];
1484        __m512i vb[8];
1485        __m512 vc[COLS];
1486        __m512 vd1, vs1;
1487
1488        const __m512i lowMask = _mm512_set1_epi8(0xF);
1489
1490        auto loadc = [&](auto col) {
1491            vc[col] = _mm512_setzero_ps();
1492        };
1493        Unroll<COLS>{}(loadc);
1494
1495        auto compute = [&](auto col, auto i) {
1496            // load a
1497            if constexpr (col == 0) {
1498                const int32_t * a_ptr = reinterpret_cast<const int32_t *>(A[0 * KB + i].qs);
1499                for (int k = 0; k < 8; ++k) {
1500                    va[k] = _mm512_set1_epi32(a_ptr[k]);
1501                }
1502                vd1 = _mm512_set1_ps(GGML_CPU_FP16_TO_FP32(A[0 * KB + i].d));
1503                vs1 = _mm512_set1_ps(GGML_CPU_FP16_TO_FP32(A[0 * KB + i].s));
1504            }
1505
1506            // load b
1507            const char * b_ptr = B + PACKED_INDEX(col, i, KB, TILE_SIZE);
1508            for (int k = 0; k < 8; k += 2) {
1509                __m512i bytes = _mm512_loadu_si512((const __m512i *)(b_ptr + k * 32));
1510                vb[k + 0] = _mm512_and_si512(bytes, lowMask);
1511                vb[k + 1] = _mm512_and_si512(_mm512_srli_epi16(bytes, 4), lowMask);
1512            }
1513            const int offset = TILE_N * TILE_K / 2;
1514            const __m512 vd0 = _mm512_cvtph_ps(_mm256_loadu_si256((const __m256i *)(b_ptr + offset)));
1515            const __m512 vm0 = _mm512_cvtph_ps(_mm256_loadu_si256((const __m256i *)(b_ptr + offset + TILE_N * sizeof(ggml_half))));
1516
1517            __m512i vsum = _mm512_setzero_si512();
1518            for (int k = 0; k < 8; ++k) {
1519                vsum = _mm512_dpbusd_epi32(vsum, vb[k], va[k]);
1520            }
1521
1522            vc[col] = _mm512_fmadd_ps(_mm512_cvtepi32_ps(vsum), _mm512_mul_ps(vd0, vd1), vc[col]);
1523            vc[col] = _mm512_fmadd_ps(vm0, vs1, vc[col]);
1524        };
1525
1526        for (int i = 0; i < KB; ++i) {
1527            Unroll<COLS>{}(compute, i);
1528        }
1529
1530        //store to C
1531        auto storec = [&](auto col) {
1532            _mm512_storeu_ps((__m512i*)(C + 0 * ldc + col * 16), vc[col]);
1533        };
1534        Unroll<COLS>{}(storec);
1535    }
1536};
1537
1538template <int BLOCK_M, int BLOCK_N, int BLOCK_K>
1539struct tinygemm_kernel_vnni<block_q8_0, block_q8_0, float, BLOCK_M, BLOCK_N, BLOCK_K> {
1540    static void apply(int KB, const void * RESTRICT _A, const void * RESTRICT _B, float * RESTRICT C, int ldc) {
1541
1542        constexpr int COLS = BLOCK_N / 16;
1543        const int TILE_SIZE = TILE_N * sizeof(block_q8_0) + TILE_N * sizeof(int32_t);
1544
1545        const block_q8_0 * RESTRICT A = static_cast<const block_q8_0 *>(_A);
1546        const char * RESTRICT B = static_cast<const char *>(_B);
1547
1548        __m512i va[8];
1549        __m512i vb[8];
1550        __m512 vc[COLS];
1551        __m512 vd1;
1552
1553        // Notes: s8s8 igemm compensation in avx512-vnni
1554        // change s8s8 to u8s8 with compensate
1555        //   a * b = (a + 128) * b - 128 * b
1556        //   s   s       u       s    u    s
1557        //
1558        // (128 * b is pre-computed when packing B to vnni formats)
1559        //
1560        const __m512i off = _mm512_set1_epi8(static_cast<char>(0x80));
1561
1562        auto loadc = [&](auto col) {
1563            vc[col] = _mm512_setzero_ps();
1564        };
1565        Unroll<COLS>{}(loadc);
1566
1567        auto compute = [&](auto col, auto i) {
1568            // load a and add offset 128
1569            if constexpr (col == 0) {
1570                const int32_t * a_ptr = reinterpret_cast<const int32_t *>(A[0 * KB + i].qs);
1571                for (int k = 0; k < 8; ++k) {
1572                    va[k] = _mm512_set1_epi32(a_ptr[k]);
1573                    va[k] = _mm512_add_epi8(va[k], off);
1574                }
1575                vd1 = _mm512_set1_ps(GGML_CPU_FP16_TO_FP32(A[0 * KB + i].d));
1576            }
1577
1578            // load b
1579            const char * b_ptr = B + PACKED_INDEX(col, i, KB, TILE_SIZE);
1580            for (int k = 0; k < 8; ++k) {
1581                vb[k] = _mm512_loadu_si512((const __m512i *)(b_ptr + k * 64));
1582            }
1583            const int offset = TILE_N * TILE_K;
1584            const __m512 vd0 = _mm512_cvtph_ps(_mm256_loadu_si256((const __m256i *)(b_ptr + offset)));
1585            const int offset2 = TILE_N * TILE_K + TILE_N * sizeof(ggml_half);
1586            const __m512i vcomp = _mm512_loadu_si512((const __m512i *)(b_ptr + offset2));
1587
1588            __m512i vsum = _mm512_setzero_si512();
1589            for (int k = 0; k < 8; ++k) {
1590                vsum = _mm512_dpbusd_epi32(vsum, va[k], vb[k]);
1591            }
1592            vsum = _mm512_sub_epi32(vsum, vcomp);
1593
1594            vc[col] = _mm512_fmadd_ps(_mm512_cvtepi32_ps(vsum), _mm512_mul_ps(vd0, vd1), vc[col]);
1595        };
1596
1597        for (int i = 0; i < KB; ++i) {
1598            Unroll<COLS>{}(compute, i);
1599        }
1600
1601        //store to C
1602        auto storec = [&](auto col) {
1603            _mm512_storeu_ps((__m512i*)(C + 0 * ldc + col * 16), vc[col]);
1604        };
1605        Unroll<COLS>{}(storec);
1606    }
1607};
1608
1609template <int BLOCK_M, int BLOCK_N, int BLOCK_K>
1610struct tinygemm_kernel_vnni<block_q8_K, block_q4_K, float, BLOCK_M, BLOCK_N, BLOCK_K> {
1611    static void apply(int KB, const void * RESTRICT _A, const void * RESTRICT _B, float * RESTRICT C, int ldc) {
1612
1613        constexpr int COLS = BLOCK_N / 16;
1614        const int TILE_SIZE = TILE_N * sizeof(block_q4_K) + TILE_N * 4;
1615
1616        const block_q8_K * RESTRICT A = static_cast<const block_q8_K *>(_A);
1617        const char * RESTRICT B = static_cast<const char *>(_B);
1618
1619        // a.qs:   8 groups, 32 bytes each group (m256i)
1620        __m512i va[8];
1621        // a.bsum: 8 groups,  2 bytes each group (m128i)
1622        __m512i va_bsum;
1623        __m512 vc[COLS];
1624        __m512 vd1;
1625
1626        // packed_B:
1627        const int offset_scales = (QK_K / 2) * TILE_N;
1628        const int offset_mins   = (QK_K / 2) * TILE_N +  8 * TILE_N;
1629        const int offset_d0     = (QK_K / 2) * TILE_N + 16 * TILE_N;
1630        const int offset_dmin   = (QK_K / 2) * TILE_N + 16 * TILE_N + TILE_N * sizeof(ggml_half);
1631
1632        const __m512i lowMask = _mm512_set1_epi8(0xF);
1633
1634        auto loadc = [&](auto col) {
1635            vc[col] = _mm512_setzero_ps();
1636        };
1637        Unroll<COLS>{}(loadc);
1638
1639        // Notes: vnni formats in QK_K
1640        //   a) quants vnni format
1641        //     int8  {k/4, n, 4}, viewed as 2d {k/4, 4n}, k = 32
1642        //     from {16, 32} to {8, 64}
1643        //
1644        //   b) min vnni format
1645        //     int16 {k/2, n, 2}, viewed as 2d {k/2, 2n}, k = 8
1646        //     from {16,  8} to {4, 32}
1647        //
1648        auto compute = [&](auto col, auto i) {
1649            // load a
1650            if constexpr (col == 0) {
1651                for (int k_group = 0; k_group < QK_K / 32; ++k_group) {
1652                    va[k_group] = _mm512_castsi256_si512(_mm256_loadu_si256((const __m256i *)(A[0 * KB + i].qs + k_group * 32)));
1653                }
1654                const __m256i q8sums = _mm256_loadu_si256((const __m256i *)A[0 * KB + i].bsums);
1655                const __m128i q8s = _mm_hadd_epi16(_mm256_extracti128_si256(q8sums, 0), _mm256_extracti128_si256(q8sums, 1));
1656                va_bsum = _mm512_castsi128_si512(q8s);
1657                vd1 = _mm512_set1_ps(A[0 * KB + i].d);
1658            }
1659
1660            // step 1: accumultate the quants
1661            __m512i acc = _mm512_setzero_si512();
1662            const char * b_ptr = B + PACKED_INDEX(col, i, KB, TILE_SIZE);
1663            const char * b_qs  = b_ptr;
1664            for (int k_group = 0; k_group < QK_K / 32; ++k_group) {
1665                __m512i vsum = _mm512_setzero_si512();
1666                for (int k = 0; k < 8; k += 2) {
1667                    __m512i va0 = _mm512_permutexvar_epi32(_mm512_set1_epi32(k + 0), va[k_group]);
1668                    __m512i va1 = _mm512_permutexvar_epi32(_mm512_set1_epi32(k + 1), va[k_group]);
1669
1670                    __m512i bytes = _mm512_loadu_si512((const __m512i *)b_qs);
1671                    __m512i vb0 = _mm512_and_si512(bytes, lowMask);
1672                    vsum = _mm512_dpbusd_epi32(vsum, vb0, va0);
1673                    __m512i vb1 = _mm512_and_si512(_mm512_srli_epi16(bytes, 4), lowMask);
1674                    vsum = _mm512_dpbusd_epi32(vsum, vb1, va1);
1675
1676                    b_qs += 64;
1677                }
1678                // vacc += scale * (q8 @ q4)
1679                const __m512i vscale = _mm512_cvtepi8_epi32(_mm_loadu_si128((const __m128i *)(b_ptr + offset_scales + k_group * TILE_N)));
1680                acc = _mm512_add_epi32(acc, _mm512_mullo_epi32(vsum, vscale));
1681            }
1682            const __m512 vd0 = _mm512_cvtph_ps(_mm256_loadu_si256((const __m256i *)(b_ptr + offset_d0)));
1683            vc[col] = _mm512_fmadd_ps(_mm512_cvtepi32_ps(acc), _mm512_mul_ps(vd0, vd1), vc[col]);
1684
1685            // step 2: accumulate the mins
1686            __m512i acc_m = _mm512_setzero_si512();
1687            for (int k = 0; k < 4; ++k) {
1688                __m512i vmask = _mm512_set1_epi32(k);
1689                __m512i va = _mm512_permutexvar_epi32(vmask, va_bsum);
1690                __m512i vb = _mm512_cvtepi8_epi16(_mm256_loadu_si256((const __m256i *)(b_ptr + offset_mins + k * 32)));
1691                acc_m = _mm512_dpwssds_epi32(acc_m, va, vb);
1692            }
1693            const __m512 vdmin = _mm512_cvtph_ps(_mm256_loadu_si256((const __m256i *)(b_ptr + offset_dmin)));
1694            vc[col] = _mm512_fnmadd_ps(_mm512_cvtepi32_ps(acc_m), _mm512_mul_ps(vdmin, vd1), vc[col]);
1695        };
1696
1697        for (int i = 0; i < KB; ++i) {
1698            Unroll<COLS>{}(compute, i);
1699        }
1700
1701        //store to C
1702        auto storec = [&](auto col) {
1703            _mm512_storeu_ps((__m512i*)(C + 0 * ldc + col * 16), vc[col]);
1704        };
1705        Unroll<COLS>{}(storec);
1706    }
1707};
1708
1709template <int BLOCK_M, int BLOCK_N, int BLOCK_K>
1710struct tinygemm_kernel_vnni<block_q8_K, block_q5_K, float, BLOCK_M, BLOCK_N, BLOCK_K> {
1711    static void apply(int KB, const void * RESTRICT _A, const void * RESTRICT _B, float * RESTRICT C, int ldc) {
1712
1713        constexpr int COLS = BLOCK_N / 16;
1714        const int TILE_SIZE = TILE_N * sizeof(block_q5_K) + TILE_N * 4;
1715
1716        const block_q8_K * RESTRICT A = static_cast<const block_q8_K *>(_A);
1717        const char * RESTRICT B = static_cast<const char *>(_B);
1718
1719        // a.qs:   8 groups, 32 bytes each group (m256i)
1720        __m512i va[8];
1721        // a.bsum: 8 groups,  2 bytes each group (m128i)
1722        __m512i va_bsum;
1723        __m512 vc[COLS];
1724        __m512 vd1;
1725
1726        // packed_B:
1727        const int offset_qh     = (QK_K / 2) * TILE_N;
1728        const int offset_scales = (QK_K / 2) * TILE_N + (QK_K / 8) * TILE_N;
1729        const int offset_mins   = (QK_K / 2) * TILE_N + (QK_K / 8) * TILE_N +  8 * TILE_N;
1730        const int offset_d0     = (QK_K / 2) * TILE_N + (QK_K / 8) * TILE_N + 16 * TILE_N;
1731        const int offset_dmin   = (QK_K / 2) * TILE_N + (QK_K / 8) * TILE_N + 16 * TILE_N + TILE_N * sizeof(ggml_half);
1732
1733        const __m512i lowMask = _mm512_set1_epi8(0xF);
1734
1735        auto loadc = [&](auto col) {
1736            vc[col] = _mm512_setzero_ps();
1737        };
1738        Unroll<COLS>{}(loadc);
1739
1740        // Q5_K and Q4_K shares the same vnni formats, refer to notes above.
1741        auto compute = [&](auto col, auto i) {
1742            // load a
1743            if constexpr (col == 0) {
1744                for (int k_group = 0; k_group < QK_K / 32; ++k_group) {
1745                    va[k_group] = _mm512_castsi256_si512(_mm256_loadu_si256((const __m256i *)(A[0 * KB + i].qs + k_group * 32)));
1746                }
1747                const __m256i q8sums = _mm256_loadu_si256((const __m256i *)A[0 * KB + i].bsums);
1748                const __m128i q8s = _mm_hadd_epi16(_mm256_extracti128_si256(q8sums, 0), _mm256_extracti128_si256(q8sums, 1));
1749                va_bsum = _mm512_castsi128_si512(q8s);
1750                vd1 = _mm512_set1_ps(A[0 * KB + i].d);
1751            }
1752
1753            // step 1: accumultate the quants
1754            __m512i acc = _mm512_setzero_si512();
1755            const char * b_ptr = B + PACKED_INDEX(col, i, KB, TILE_SIZE);
1756            const char * b_qs  = b_ptr;
1757            const char * b_qh  = b_ptr + offset_qh;
1758            for (int k_group = 0; k_group < QK_K / 32; ++k_group) {
1759                __m512i vsum = _mm512_setzero_si512();
1760                __m512i hmask0 = _mm512_set1_epi8(0x1);
1761                __m512i hmask1 = _mm512_set1_epi8(0x2);
1762                __m512i hbits = _mm512_loadu_si512((const __m512i *)(b_qh + k_group * 64));
1763                for (int k = 0; k < 8; k += 2) {
1764                    __m512i va0 = _mm512_permutexvar_epi32(_mm512_set1_epi32(k + 0), va[k_group]);
1765                    __m512i va1 = _mm512_permutexvar_epi32(_mm512_set1_epi32(k + 1), va[k_group]);
1766
1767                    __m512i bytes = _mm512_loadu_si512((const __m512i *)b_qs);
1768                    __m512i vb0 = _mm512_and_si512(bytes, lowMask);
1769                    __m512i vb1 = _mm512_and_si512(_mm512_srli_epi16(bytes, 4), lowMask);
1770
1771                    __m512i vh0 = _mm512_slli_epi16(_mm512_srli_epi16(_mm512_and_si512(hbits, hmask0), k), 4);
1772                    __m512i vh1 = _mm512_slli_epi16(_mm512_srli_epi16(_mm512_and_si512(hbits, hmask1), k + 1), 4);
1773
1774                    hmask0 = _mm512_slli_epi16(hmask0, 2);
1775                    hmask1 = _mm512_slli_epi16(hmask1, 2);
1776                    vb0 = _mm512_add_epi8(vb0, vh0);
1777                    vb1 = _mm512_add_epi8(vb1, vh1);
1778
1779                    vsum = _mm512_dpbusd_epi32(vsum, vb0, va0);
1780                    vsum = _mm512_dpbusd_epi32(vsum, vb1, va1);
1781
1782                    b_qs += 64;
1783                }
1784                // vacc += scale * (q8 @ q5)
1785                const __m512i vscale = _mm512_cvtepi8_epi32(_mm_loadu_si128((const __m128i *)(b_ptr + offset_scales + k_group * TILE_N)));
1786                acc = _mm512_add_epi32(acc, _mm512_mullo_epi32(vsum, vscale));
1787            }
1788            const __m512 vd0 = _mm512_cvtph_ps(_mm256_loadu_si256((const __m256i *)(b_ptr + offset_d0)));
1789            vc[col] = _mm512_fmadd_ps(_mm512_cvtepi32_ps(acc), _mm512_mul_ps(vd0, vd1), vc[col]);
1790
1791            // step 2: accumulate the mins
1792            __m512i acc_m = _mm512_setzero_si512();
1793            for (int k = 0; k < 4; ++k) {
1794                __m512i vmask = _mm512_set1_epi32(k);
1795                __m512i va = _mm512_permutexvar_epi32(vmask, va_bsum);
1796                __m512i vb = _mm512_cvtepi8_epi16(_mm256_loadu_si256((const __m256i *)(b_ptr + offset_mins + k * 32)));
1797                acc_m = _mm512_dpwssds_epi32(acc_m, va, vb);
1798            }
1799            const __m512 vdmin = _mm512_cvtph_ps(_mm256_loadu_si256((const __m256i *)(b_ptr + offset_dmin)));
1800            vc[col] = _mm512_fnmadd_ps(_mm512_cvtepi32_ps(acc_m), _mm512_mul_ps(vdmin, vd1), vc[col]);
1801        };
1802
1803        for (int i = 0; i < KB; ++i) {
1804            Unroll<COLS>{}(compute, i);
1805        }
1806
1807        //store to C
1808        auto storec = [&](auto col) {
1809            _mm512_storeu_ps((__m512i*)(C + 0 * ldc + col * 16), vc[col]);
1810        };
1811        Unroll<COLS>{}(storec);
1812    }
1813};
1814
1815template <int BLOCK_M, int BLOCK_N, int BLOCK_K>
1816struct tinygemm_kernel_vnni<block_q8_K, block_q6_K, float, BLOCK_M, BLOCK_N, BLOCK_K> {
1817    static void apply(int KB, const void * RESTRICT _A, const void * RESTRICT _B, float * RESTRICT C, int ldc) {
1818
1819        constexpr int COLS = BLOCK_N / 16;
1820        const int TILE_SIZE = TILE_N * sizeof(block_q6_K);
1821
1822        const block_q8_K * RESTRICT A = static_cast<const block_q8_K *>(_A);
1823        const char * RESTRICT B = static_cast<const char *>(_B);
1824
1825        // load the 256 bytes from A to 4 avx512 vectors
1826        __m512i va[4];
1827        __m512 vc[COLS];
1828        __m512 vd1;
1829
1830        // packed_B:
1831        const int offset_qh     = (QK_K / 2) * TILE_N;
1832        const int offset_scales = (QK_K / 2) * TILE_N + (QK_K / 4) * TILE_N;
1833        const int offset_d0     = (QK_K / 2) * TILE_N + (QK_K / 4) * TILE_N + 16 * TILE_N;
1834
1835        // compensation
1836        __m512i vcomp;
1837
1838        const __m512i m32s = _mm512_set1_epi32(32);
1839        const __m512i lowMask = _mm512_set1_epi8(0xF);
1840
1841        auto loadc = [&](auto col) {
1842            vc[col] = _mm512_setzero_ps();
1843        };
1844        Unroll<COLS>{}(loadc);
1845
1846        auto compute = [&](auto col, auto i) {
1847            if constexpr (col == 0) {
1848                // load a
1849                va[0] = _mm512_loadu_si512((const __m512i *)(A[0 * KB + i].qs +   0));
1850                va[1] = _mm512_loadu_si512((const __m512i *)(A[0 * KB + i].qs +  64));
1851                va[2] = _mm512_loadu_si512((const __m512i *)(A[0 * KB + i].qs + 128));
1852                va[3] = _mm512_loadu_si512((const __m512i *)(A[0 * KB + i].qs + 192));
1853
1854                const __m256i q8sums = _mm256_loadu_si256((const __m256i *)A[0 * KB + i].bsums);
1855                vcomp = _mm512_mullo_epi32(_mm512_cvtepi16_epi32(q8sums), m32s);
1856                vd1 = _mm512_set1_ps(A[0 * KB + i].d);
1857            }
1858
1859            // accmulate the quants
1860            __m512i acc = _mm512_setzero_si512();
1861            const char * b_ptr = B + PACKED_INDEX(col, i, KB, TILE_SIZE);
1862            const char * b_qs = b_ptr;
1863            const char * b_qh = b_ptr + offset_qh;
1864            int mask = 0;
1865            for (int k_group = 0; k_group < QK_K / 16; ++k_group) {
1866                int r = k_group >> 2;
1867                __m512i va0 = _mm512_permutexvar_epi32(_mm512_set1_epi32(mask++), va[r]);
1868                __m512i va1 = _mm512_permutexvar_epi32(_mm512_set1_epi32(mask++), va[r]);
1869
1870                __m512i vsum = _mm512_setzero_si512();
1871                __m512i hmask = _mm512_set1_epi8(0x3);
1872
1873                __m512i bytes = _mm512_loadu_si512(b_qs);
1874                __m512i hbits = _mm512_loadu_si512(b_qh);
1875                __m512i vb0 = _mm512_and_si512(bytes, lowMask);
1876                __m512i vb1 = _mm512_and_si512(_mm512_srli_epi16(bytes, 4), lowMask);
1877                __m512i vh0 = _mm512_slli_epi16(_mm512_and_si512(hbits, hmask), 4);
1878                __m512i vh1 = _mm512_slli_epi16(_mm512_and_si512(hbits, _mm512_slli_epi16(hmask, 2)), 2);
1879
1880                vb0 = _mm512_add_epi8(vb0, vh0);
1881                vb1 = _mm512_add_epi8(vb1, vh1);
1882                vsum = _mm512_dpbusd_epi32(vsum, vb0, va0);
1883                vsum = _mm512_dpbusd_epi32(vsum, vb1, va1);
1884                b_qs += 64;
1885
1886                va0 = _mm512_permutexvar_epi32(_mm512_set1_epi32(mask++), va[r]);
1887                va1 = _mm512_permutexvar_epi32(_mm512_set1_epi32(mask++), va[r]);
1888
1889                bytes = _mm512_loadu_si512(b_qs);
1890                vb0 = _mm512_and_si512(bytes, lowMask);
1891                vb1 = _mm512_and_si512(_mm512_srli_epi16(bytes, 4), lowMask);
1892                vh0 =                   _mm512_and_si512(hbits, _mm512_slli_epi16(hmask, 4));
1893                vh1 = _mm512_srli_epi16(_mm512_and_si512(hbits, _mm512_slli_epi16(hmask, 6)), 2);
1894                vb0 = _mm512_add_epi8(vb0, vh0);
1895                vb1 = _mm512_add_epi8(vb1, vh1);
1896                vsum = _mm512_dpbusd_epi32(vsum, vb0, va0);
1897                vsum = _mm512_dpbusd_epi32(vsum, vb1, va1);
1898                b_qs += 64;
1899                b_qh += 64;
1900
1901                // B * A - 32 * A
1902                __m512i vmask = _mm512_set1_epi32(k_group);
1903                vsum = _mm512_sub_epi32(vsum, _mm512_permutexvar_epi32(vmask, vcomp));
1904
1905                // vacc += scale * (q8 @ q6)
1906                const __m512i vscale = _mm512_cvtepi8_epi32(_mm_loadu_si128((const __m128i *)(b_ptr + offset_scales + k_group * TILE_N)));
1907                acc = _mm512_add_epi32(acc, _mm512_mullo_epi32(vsum, vscale));
1908            }
1909            const __m512 vd0 = _mm512_cvtph_ps(_mm256_loadu_si256((const __m256i *)(b_ptr + offset_d0)));
1910            vc[col] = _mm512_fmadd_ps(_mm512_cvtepi32_ps(acc), _mm512_mul_ps(vd0, vd1), vc[col]);
1911        };
1912
1913        for (int i = 0; i < KB; ++i) {
1914            Unroll<COLS>{}(compute, i);
1915        }
1916
1917        //store to C
1918        auto storec = [&](int col) {
1919            _mm512_storeu_ps((__m512i*)(C + 0 * ldc + col * 16), vc[col]);
1920        };
1921        Unroll<COLS>{}(storec);
1922    }
1923};
1924
1925template <int BLOCK_M, int BLOCK_N, int BLOCK_K>
1926struct tinygemm_kernel_vnni<block_q8_K, block_iq4_xs, float, BLOCK_M, BLOCK_N, BLOCK_K> {
1927    static void apply(int KB, const void * RESTRICT _A, const void * RESTRICT _B, float * RESTRICT C, int ldc) {
1928
1929        constexpr int COLS = BLOCK_N / 16;
1930        const int TILE_SIZE = TILE_N * sizeof(block_iq4_xs) + TILE_N * 2;
1931
1932        const block_q8_K * RESTRICT A = static_cast<const block_q8_K *>(_A);
1933        const char * RESTRICT B = static_cast<const char *>(_B);
1934
1935        // load the 256 bytes from A to 4 avx512 vectors
1936        __m512i va[4];
1937        __m512 vc[COLS];
1938        __m512 vd1;
1939
1940        // packed_B:
1941        const int offset_scales = (QK_K / 2) * TILE_N ;
1942        const int offset_d0     = (QK_K / 2) * TILE_N + 8 * TILE_N;
1943
1944        // compensation
1945        __m512i vcomp;
1946
1947        const __m256i m128s = _mm256_set1_epi16(128);
1948        const __m512i lowMask = _mm512_set1_epi8(0xF);
1949
1950        const __m512i values128 = _mm512_set_epi8(
1951            113, 89, 69, 53, 38, 25, 13, 1, -10, -22, -35, -49, -65, -83, -104, -127,
1952            113, 89, 69, 53, 38, 25, 13, 1, -10, -22, -35, -49, -65, -83, -104, -127,
1953            113, 89, 69, 53, 38, 25, 13, 1, -10, -22, -35, -49, -65, -83, -104, -127,
1954            113, 89, 69, 53, 38, 25, 13, 1, -10, -22, -35, -49, -65, -83, -104, -127
1955        );
1956        const __m512i off = _mm512_set1_epi8(static_cast<char>(0x80));
1957        const __m512i values256 = _mm512_add_epi8(values128, off);
1958
1959        auto loadc = [&](auto col) {
1960            vc[col] = _mm512_setzero_ps();
1961        };
1962        Unroll<COLS>{}(loadc);
1963
1964        auto compute = [&](auto col, auto i) {
1965            if constexpr (col == 0) {
1966                // load a
1967                va[0] = _mm512_loadu_si512((const __m512i *)(A[0 * KB + i].qs +   0));
1968                va[1] = _mm512_loadu_si512((const __m512i *)(A[0 * KB + i].qs +  64));
1969                va[2] = _mm512_loadu_si512((const __m512i *)(A[0 * KB + i].qs + 128));
1970                va[3] = _mm512_loadu_si512((const __m512i *)(A[0 * KB + i].qs + 192));
1971
1972                // compensation: 128 * A
1973                const __m256i q8sums = _mm256_loadu_si256((const __m256i *)A[0 * KB + i].bsums);
1974                vcomp = _mm512_castsi256_si512(_mm256_madd_epi16(q8sums, m128s));
1975                vd1 = _mm512_set1_ps(A[0 * KB + i].d);
1976            }
1977
1978            // accmulate the quants
1979            __m512i acc = _mm512_setzero_si512();
1980            const char * b_ptr = B + PACKED_INDEX(col, i, KB, TILE_SIZE);
1981            const char * b_qs = b_ptr;
1982            int mask = 0;
1983            for (int k_group = 0; k_group < QK_K / 32; ++k_group) {
1984                int r = k_group >> 1;
1985                __m512i vmask = _mm512_set1_epi32(k_group);
1986                __m512i vsum = _mm512_setzero_si512();
1987                for (int k = 0; k < 8; k += 2) {
1988                    __m512i va0 = _mm512_permutexvar_epi32(_mm512_set1_epi32(mask++), va[r]);
1989                    __m512i va1 = _mm512_permutexvar_epi32(_mm512_set1_epi32(mask++), va[r]);
1990
1991                    __m512i bytes = _mm512_loadu_si512(b_qs);
1992                    __m512i vb0 = _mm512_shuffle_epi8(values256, _mm512_and_si512(bytes, lowMask));
1993                    __m512i vb1 = _mm512_shuffle_epi8(values256, _mm512_and_si512(_mm512_srli_epi16(bytes, 4), lowMask));
1994
1995                    vsum = _mm512_dpbusd_epi32(vsum, vb0, va0);
1996                    vsum = _mm512_dpbusd_epi32(vsum, vb1, va1);
1997                    b_qs += 64;
1998                }
1999                // (B + 128) * A - 128 * A
2000                vsum = _mm512_sub_epi32(vsum, _mm512_permutexvar_epi32(vmask, vcomp));
2001
2002                // vacc += scale * (q8 @ q4)
2003                const __m512i vscale = _mm512_cvtepi8_epi32(_mm_loadu_si128((const __m128i *)(b_ptr + offset_scales + k_group * TILE_N)));
2004                acc = _mm512_add_epi32(acc, _mm512_mullo_epi32(vsum, vscale));
2005            }
2006            const __m512 vd0 = _mm512_cvtph_ps(_mm256_loadu_si256((const __m256i *)(b_ptr + offset_d0)));
2007            vc[col] = _mm512_fmadd_ps(_mm512_cvtepi32_ps(acc), _mm512_mul_ps(vd0, vd1), vc[col]);
2008        };
2009
2010        for (int i = 0; i < KB; ++i) {
2011            Unroll<COLS>{}(compute, i);
2012        }
2013
2014        //store to C
2015        auto storec = [&](auto col) {
2016            _mm512_storeu_ps((__m512i*)(C + 0 * ldc + col * 16), vc[col]);
2017        };
2018        Unroll<COLS>{}(storec);
2019    }
2020};
2021
2022#define LAUNCH_TINYGEMM_KERNEL_VNNI(NB_SIZE)                                         \
2023    tinygemm_kernel_vnni<vec_dot_type, type, float, 1, NB_SIZE, blck_size>::apply(   \
2024        KB, (const char *)wdata + 0 * row_size_A,                                    \
2025        (const char *)src0->data + PACKED_INDEX(nb * kTilesN, 0, KB, TILE_SIZE),     \
2026        (float *) dst->data + 0 * N + nb_start, ldc)
2027
2028template <typename TA, typename TB, typename TC, int BLOCK_K,
2029          typename std::enable_if<!is_type_qkk<TB>::value, int>::type = 0>
2030void tinygemm_kernel_amx(int M, int N, int KB, const void * RESTRICT _A, const void * RESTRICT _B, TC * RESTRICT C, int ldc) {
2031    using packed_B_t = packed_B_type<TB>;
2032    const int TILE_SIZE = get_tile_size<TB>();
2033    const bool need_unpack = do_unpack<TB>::value;
2034
2035    GGML_ASSERT(M <= 2 * TILE_M && N == 2 * TILE_N);
2036    const TA * RESTRICT A = static_cast<const TA *>(_A);
2037    const char * RESTRICT B = static_cast<const char *>(_B);
2038
2039    const int m0 = std::min(M, TILE_M);
2040    const int m1 = std::max(M - TILE_M, 0);
2041    const int lda = KB * sizeof(TA);
2042    //const int ldb = KB * sizeof(TB);
2043
2044    static thread_local packed_B_t Tile0[TILE_N * TILE_K];
2045    static thread_local packed_B_t Tile1[TILE_N * TILE_K];
2046    static thread_local int8_t Tile23[TILE_M * TILE_K];
2047
2048    static thread_local int32_t TileC0[TILE_M * TILE_N * 4];
2049    static thread_local int32_t TileC1[TILE_M * TILE_N * 4];
2050
2051    // double buffering C to interleave avx512 and amx
2052    int32_t * C_cur = TileC0;
2053    int32_t * C_pre = TileC1;
2054
2055    auto Tile4 = [&](int32_t * base) { return base; };
2056    auto Tile5 = [&](int32_t * base) { return base + TILE_M * TILE_N; };
2057    auto Tile6 = [&](int32_t * base) { return base + 2 * TILE_M * TILE_N; };
2058    auto Tile7 = [&](int32_t * base) { return base + 3 * TILE_M * TILE_N; };
2059
2060    if (M == 2 * TILE_M) {
2061        // i = 0
2062        const char * B_blk0 = B + PACKED_INDEX(0, 0, KB, TILE_SIZE);
2063        const char * B_blk1 = B + PACKED_INDEX(1, 0, KB, TILE_SIZE);
2064        if (need_unpack) {
2065            unpack_B<TB>(Tile0, B_blk0);
2066            _tile_loadd(TMM0, Tile0, TILE_N * VNNI_BLK);
2067        } else {
2068            _tile_loadd(TMM0, B_blk0, TILE_N * VNNI_BLK);
2069        }
2070
2071        _tile_zero(TMM4);
2072        _tile_loadd(TMM2, A[0].qs, lda);
2073        _tile_dpbssd(TMM4, TMM2, TMM0);
2074        _tile_stored(TMM4, Tile4(C_pre), TILE_N * sizeof(int32_t));
2075
2076        _tile_zero(TMM5);
2077        _tile_loadd(TMM3, A[TILE_M * KB + 0].qs, lda);
2078        _tile_dpbssd(TMM5, TMM3, TMM0);
2079        _tile_stored(TMM5, Tile5(C_pre), TILE_N * sizeof(int32_t));
2080
2081        if (need_unpack) {
2082            unpack_B<TB>(Tile1, B_blk0);
2083            _tile_loadd(TMM1, Tile1, TILE_N * VNNI_BLK);
2084        } else {
2085            _tile_loadd(TMM1, B_blk1, TILE_N * VNNI_BLK);
2086        }
2087
2088        _tile_zero(TMM6);
2089        _tile_dpbssd(TMM6, TMM2, TMM1);
2090        _tile_stored(TMM6, Tile6(C_pre), TILE_N * sizeof(int32_t));
2091
2092        _tile_zero(TMM7);
2093        _tile_dpbssd(TMM7, TMM3, TMM1);
2094        _tile_stored(TMM7, Tile7(C_pre), TILE_N * sizeof(int32_t));
2095
2096        for (int i = 1; i < KB; ++i) {
2097            // index of previous iter
2098            const int ii = i - 1;
2099            const char * B_blk0 = B + PACKED_INDEX(0, i, KB, TILE_SIZE);
2100            const char * B_blk1 = B + PACKED_INDEX(1, i, KB, TILE_SIZE);
2101            GGML_DISPATCH_BOOL(ii > 0, is_acc, [&] {
2102                if (need_unpack) {
2103                    unpack_B<TB>(Tile0, B_blk0);
2104                    _tile_loadd(TMM0, Tile0, TILE_N * VNNI_BLK);
2105                } else {
2106                    _tile_loadd(TMM0, B_blk0, TILE_N * VNNI_BLK);
2107                }
2108                _tile_zero(TMM4);
2109                _tile_loadd(TMM2, A[i].qs, lda);
2110                acc_C<TA, TB, is_acc>::apply(C, ldc, Tile4(C_pre), &A[ii], KB, B + PACKED_INDEX(0, ii, KB, TILE_SIZE), TILE_M);
2111
2112                _tile_dpbssd(TMM4, TMM2, TMM0);
2113                _tile_stored(TMM4, Tile4(C_cur), TILE_N * sizeof(int32_t));
2114
2115                _tile_zero(TMM5);
2116                _tile_loadd(TMM3, A[TILE_M * KB + i].qs, lda);
2117                acc_C<TA, TB, is_acc>::apply(C + TILE_M * ldc, ldc, Tile5(C_pre), &A[TILE_M * KB + ii], KB, B + PACKED_INDEX(0, ii, KB, TILE_SIZE), TILE_M);
2118
2119                _tile_dpbssd(TMM5, TMM3, TMM0);
2120                _tile_stored(TMM5, Tile5(C_cur), TILE_N * sizeof(int32_t));
2121
2122                if (need_unpack) {
2123                    unpack_B<TB>(Tile1, B_blk1);
2124                    _tile_loadd(TMM1, Tile1, TILE_N * VNNI_BLK);
2125                } else {
2126                    _tile_loadd(TMM1, B_blk1, TILE_N * VNNI_BLK);
2127                }
2128                _tile_zero(TMM6);
2129                acc_C<TA, TB, is_acc>::apply(C + TILE_N, ldc, Tile6(C_pre), &A[ii], KB, B + PACKED_INDEX(1, ii, KB, TILE_SIZE), TILE_M);
2130
2131                _tile_dpbssd(TMM6, TMM2, TMM1);
2132                _tile_stored(TMM6, Tile6(C_cur), TILE_N * sizeof(int32_t));
2133
2134                _tile_zero(TMM7);
2135                acc_C<TA, TB, is_acc>::apply(C + TILE_M * ldc + TILE_N, ldc, Tile7(C_pre), &A[TILE_M * KB + ii], KB, B + PACKED_INDEX(1, ii, KB, TILE_SIZE), TILE_M);
2136
2137                _tile_dpbssd(TMM7, TMM3, TMM1);
2138                _tile_stored(TMM7, Tile7(C_cur), TILE_N * sizeof(int32_t));
2139
2140                std::swap(C_cur, C_pre);
2141            });
2142        }
2143        // final accumulation
2144        {
2145            int ii = KB - 1;
2146            acc_C<TA, TB, true>::apply(C, ldc, Tile4(C_pre), &A[ii], KB, B + PACKED_INDEX(0, ii, KB, TILE_SIZE), TILE_M);
2147            acc_C<TA, TB, true>::apply(C + TILE_M * ldc, ldc, Tile5(C_pre), &A[TILE_M * KB + ii], KB, B + PACKED_INDEX(0, ii, KB, TILE_SIZE), TILE_M);
2148            acc_C<TA, TB, true>::apply(C + TILE_N, ldc, Tile6(C_pre), &A[ii], KB, B + PACKED_INDEX(1, ii, KB, TILE_SIZE), TILE_M);
2149            acc_C<TA, TB, true>::apply(C + TILE_M * ldc + TILE_N, ldc, Tile7(C_pre), &A[TILE_M * KB + ii], KB, B + PACKED_INDEX(1, ii, KB, TILE_SIZE), TILE_M);
2150        }
2151    } else {
2152        for (int i = 0; i < KB; ++i) {
2153            _tile_zero(TMM4);
2154            _tile_zero(TMM6);
2155            if (m1 != 0) {
2156                _tile_zero(TMM5);
2157                _tile_zero(TMM7);
2158            }
2159
2160            const char * B_blk0 = B + PACKED_INDEX(0, i, KB, TILE_SIZE);
2161            const char * B_blk1 = B + PACKED_INDEX(1, i, KB, TILE_SIZE);
2162            if (need_unpack) {
2163                unpack_B<TB>(Tile0, B_blk0);
2164                _tile_loadd(TMM0, Tile0, TILE_N * VNNI_BLK);
2165            } else {
2166                _tile_loadd(TMM0, B_blk0, TILE_N * VNNI_BLK);
2167            }
2168
2169            if (need_unpack) {
2170                unpack_B<TB>(Tile1, B_blk1);
2171                _tile_loadd(TMM1, Tile1, TILE_N * VNNI_BLK);
2172            } else {
2173                _tile_loadd(TMM1, B_blk1, TILE_N * VNNI_BLK);
2174            }
2175
2176            if (m0 == TILE_M) {
2177                _tile_loadd(TMM2, A[i].qs, lda);
2178            } else {
2179                unpack_A(Tile23, &A[i], KB, m0);
2180                _tile_loadd(TMM2, Tile23, TILE_K);
2181            }
2182
2183            _tile_dpbssd(TMM4, TMM2, TMM0);
2184            _tile_dpbssd(TMM6, TMM2, TMM1);
2185
2186            _tile_stored(TMM4, Tile4(C_cur), TILE_N * sizeof(int32_t));
2187            _tile_stored(TMM6, Tile6(C_cur), TILE_N * sizeof(int32_t));
2188
2189            GGML_DISPATCH_BOOL(i > 0, is_acc, [&] {
2190                acc_C<TA, TB, is_acc>::apply(C,          ldc, Tile4(C_cur), &A[i], KB, B + PACKED_INDEX(0, i, KB, TILE_SIZE), m0);
2191                acc_C<TA, TB, is_acc>::apply(C + TILE_N, ldc, Tile6(C_cur), &A[i], KB, B + PACKED_INDEX(1, i, KB, TILE_SIZE), m0);
2192            });
2193
2194            if (m1 != 0) {
2195                unpack_A(Tile23, &A[TILE_M * KB + i], KB, m1);
2196                _tile_loadd(TMM3, Tile23, TILE_K);
2197
2198                _tile_dpbssd(TMM5, TMM3, TMM0);
2199                _tile_dpbssd(TMM7, TMM3, TMM1);
2200                _tile_stored(TMM5, Tile5(C_cur), TILE_N * sizeof(int32_t));
2201                _tile_stored(TMM7, Tile7(C_cur), TILE_N * sizeof(int32_t));
2202                GGML_DISPATCH_BOOL(i > 0, is_acc, [&] {
2203                    acc_C<TA, TB, is_acc>::apply(C + TILE_M * ldc,          ldc, Tile5(C_cur), &A[TILE_M * KB + i], KB, B + PACKED_INDEX(0, i, KB, TILE_SIZE), m1);
2204                    acc_C<TA, TB, is_acc>::apply(C + TILE_M * ldc + TILE_N, ldc, Tile7(C_cur), &A[TILE_M * KB + i], KB, B + PACKED_INDEX(1, i, KB, TILE_SIZE), m1);
2205                });
2206            }
2207        }
2208    }
2209    return;
2210}
2211
2212template <typename TA, typename TB, typename TC, int BLOCK_K,
2213          typename std::enable_if<is_type_qkk<TB>::value, int>::type = 0>
2214void tinygemm_kernel_amx(int M, int N, int KB, const void * RESTRICT _A, const void * RESTRICT _B, float * RESTRICT C, int ldc) {
2215    static_assert(std::is_same<TA, block_q8_K>::value);
2216    const int TILE_SIZE = get_tile_size<TB>();
2217
2218    GGML_ASSERT(M <= 2 * TILE_M && N == 2 * TILE_N);
2219    const TA * RESTRICT A = static_cast<const TA *>(_A);
2220    const char * RESTRICT B = static_cast<const char *>(_B);
2221
2222    const int m0 = std::min(M, TILE_M);
2223    const int m1 = std::max(M - TILE_M, 0);
2224    //const int lda = KB * sizeof(TA);
2225
2226    static thread_local int8_t Tile0[TILE_N * TILE_K];
2227    static thread_local int8_t Tile1[TILE_N * TILE_K];
2228    static thread_local int8_t Tile23[TILE_M * TILE_K];
2229
2230    // mat mul result for each group
2231    static thread_local int32_t Tile4[TILE_M * TILE_N];
2232    static thread_local int32_t Tile5[TILE_M * TILE_N];
2233    static thread_local int32_t Tile6[TILE_M * TILE_N];
2234    static thread_local int32_t Tile7[TILE_M * TILE_N];
2235
2236    // sum of each QK_K block, contains 8 groups, int32
2237    static thread_local int32_t Sumi4[TILE_M * TILE_N];
2238    static thread_local int32_t Sumi5[TILE_M * TILE_N];
2239    static thread_local int32_t Sumi6[TILE_M * TILE_N];
2240    static thread_local int32_t Sumi7[TILE_M * TILE_N];
2241
2242    const int k_group_size = std::is_same<TB, block_q6_K>::value ? 16 : 32;
2243    for (int i = 0; i < KB; ++i) {
2244        // step 1: accumulate the quants across 8 groups, each group with 32
2245        for (int k = 0; k < QK_K / k_group_size; ++k) {
2246            GGML_DISPATCH_BOOL(k > 0, is_acc, [&] {
2247                _tile_zero(TMM4);
2248                _tile_zero(TMM6);
2249
2250                unpack_B<TB>(Tile0, B + PACKED_INDEX(0, i, KB, TILE_SIZE), k);
2251                _tile_loadd(TMM0, Tile0, TILE_N * VNNI_BLK);
2252
2253                unpack_B<TB>(Tile1, B + PACKED_INDEX(1, i, KB, TILE_SIZE), k);
2254                _tile_loadd(TMM1, Tile1, TILE_N * VNNI_BLK);
2255
2256                unpack_A<TB>(Tile23, &A[i], KB, k, m0);
2257                _tile_loadd(TMM2, Tile23, TILE_K);
2258
2259                _tile_dpbssd(TMM4, TMM2, TMM0);
2260                _tile_dpbssd(TMM6, TMM2, TMM1);
2261
2262                _tile_stored(TMM4, Tile4, TILE_N * sizeof(int32_t));
2263                _tile_stored(TMM6, Tile6, TILE_N * sizeof(int32_t));
2264
2265                scale_C<TB, is_acc>(Tile4, Sumi4, B + PACKED_INDEX(0, i, KB, TILE_SIZE), k, m0);
2266                scale_C<TB, is_acc>(Tile6, Sumi6, B + PACKED_INDEX(1, i, KB, TILE_SIZE), k, m0);
2267
2268                if (m1 != 0) {
2269                    _tile_zero(TMM5);
2270                    _tile_zero(TMM7);
2271
2272                    unpack_A<TB>(Tile23, &A[TILE_M * KB + i], KB, k, m1);
2273                    _tile_loadd(TMM3, Tile23, TILE_K);
2274
2275                    _tile_dpbssd(TMM5, TMM3, TMM0);
2276                    _tile_dpbssd(TMM7, TMM3, TMM1);
2277
2278                    _tile_stored(TMM5, Tile5, TILE_N * sizeof(int32_t));
2279                    _tile_stored(TMM7, Tile7, TILE_N * sizeof(int32_t));
2280
2281                    scale_C<TB, is_acc>(Tile5, Sumi5, B + PACKED_INDEX(0, i, KB, TILE_SIZE), k, m1);
2282                    scale_C<TB, is_acc>(Tile7, Sumi7, B + PACKED_INDEX(1, i, KB, TILE_SIZE), k, m1);
2283                }
2284            });
2285        }
2286
2287        // step 2: accmulate the mins
2288        GGML_DISPATCH_BOOL(i > 0, is_acc, [&] {
2289            acc_C<TA, TB, is_acc>::apply(C,          ldc, Sumi4, &A[i], KB, B + PACKED_INDEX(0, i, KB, TILE_SIZE), m0);
2290            acc_C<TA, TB, is_acc>::apply(C + TILE_N, ldc, Sumi6, &A[i], KB, B + PACKED_INDEX(1, i, KB, TILE_SIZE), m0);
2291            if (m1 != 0) {
2292                acc_C<TA, TB, is_acc>::apply(C + TILE_M * ldc,          ldc, Sumi5, &A[TILE_M * KB + i], KB, B + PACKED_INDEX(0, i, KB, TILE_SIZE), m1);
2293                acc_C<TA, TB, is_acc>::apply(C + TILE_M * ldc + TILE_N, ldc, Sumi7, &A[TILE_M * KB + i], KB, B + PACKED_INDEX(1, i, KB, TILE_SIZE), m1);
2294            }
2295        });
2296    }
2297    return;
2298}
2299
2300} // anonymous namespace
2301
2302// get the packed tensor size for quantized weights
2303size_t ggml_backend_amx_get_alloc_size(const struct ggml_tensor * tensor) {
2304    const enum ggml_type TYPE = tensor->type;
2305
2306    const int K = tensor->ne[0]; // ne0: in_features
2307    const int N = tensor->ne[1]; // ne1: out_features
2308
2309    auto get_tensor_size = [&] {
2310        size_t row_size_B{0};
2311        GGML_DISPATCH_QTYPES(TYPE, [&] {
2312            row_size_B = get_row_size<type, blck_size>(K);
2313        });
2314        return N * row_size_B;
2315    };
2316
2317    if (qtype_has_amx_kernels(TYPE)) {
2318        return get_tensor_size();
2319    } else {
2320        // for f16, bf16 we don't do packing
2321        return ggml_nbytes(tensor);
2322    }
2323}
2324
2325// pack weight to vnni format
2326void ggml_backend_amx_convert_weight(struct ggml_tensor * tensor, const void * data, size_t offset, size_t size) {
2327    GGML_ASSERT(offset == 0 && size == ggml_nbytes(tensor)); // only full tensor conversion is supported for now
2328
2329    const enum ggml_type TYPE = tensor->type;
2330
2331    const int K = tensor->ne[0]; // ne0: in_features
2332    const int N = tensor->ne[1]; // ne1: out_features
2333
2334    GGML_DISPATCH_QTYPES(TYPE, [&] {
2335        convert_B_packed_format<type, blck_size>((void *)((char *)tensor->data + offset), (const type *)data, N, K);
2336    });
2337}
2338
2339size_t ggml_backend_amx_desired_wsize(const struct ggml_tensor * dst) {
2340    struct ggml_tensor * src0 = dst->src[0];
2341
2342    const enum ggml_type TYPE = src0->type;
2343
2344    const bool is_floating_type = TYPE == GGML_TYPE_F16;
2345    if (is_floating_type) {
2346        return 0;
2347    }
2348
2349    const int M = dst->ne[1];
2350    const int K = src0->ne[0];
2351
2352    size_t desired_wsize = 0;
2353
2354    GGML_DISPATCH_QTYPES(TYPE, [&] {
2355        const size_t row_size_A = K / blck_size * sizeof(vec_dot_type);
2356        desired_wsize = M * row_size_A;
2357    });
2358
2359    return desired_wsize;
2360}
2361
2362// NB: mixed dtype gemm with Advanced Matrix Extensions (Intel AMX)
2363//
2364// src0: weight in shape of {N, K}, quantized
2365// src1: input  in shape of {M, K}, float32
2366// dst:  output in shape of {M, N}, float32
2367//
2368// the function performs: dst = src1 @ src0.T
2369//
2370void ggml_backend_amx_mul_mat(const ggml_compute_params * params, struct ggml_tensor * dst) {
2371    struct ggml_tensor * src0 = dst->src[0];
2372    struct ggml_tensor * src1 = dst->src[1];
2373
2374    const enum ggml_type TYPE = src0->type;
2375
2376    // f16 only has avx512 kernels for now,
2377    // amx kernels will be added once 6th gen xeon is released.
2378    const bool is_floating_type = TYPE == GGML_TYPE_F16;
2379
2380    const int M = dst->ne[1];
2381    const int N = dst->ne[0];
2382    const int K = src0->ne[0];
2383    const int ldc = dst->nb[1] / dst->nb[0];
2384
2385    if (is_floating_type) {
2386        constexpr int BLOCK_M = 4;
2387        constexpr int BLOCK_N = 6;
2388        const int MB = div_up(M, BLOCK_M);
2389        const int NB = div_up(N, BLOCK_N);
2390
2391        parallel_for_ggml(params, MB * NB, [&](int begin, int end) {
2392            GGML_DISPATCH_FLOATING_TYPES(TYPE, [&] {
2393                for (int i = begin; i < end; ++i) {
2394                    int mb = i / NB;
2395                    int nb = i % NB;
2396
2397                    int mb_start = mb * BLOCK_M;
2398                    int mb_size = std::min(BLOCK_M, M - mb_start);
2399                    int nb_start = nb * BLOCK_N;
2400                    int nb_size = std::min(BLOCK_N, N - nb_start);
2401
2402                    switch (mb_size << 4 | nb_size) {
2403                        case 0x12: LAUNCH_TINYGEMM_KERNEL_AVX(1, 2); break;
2404                        case 0x14: LAUNCH_TINYGEMM_KERNEL_AVX(1, 4); break;
2405                        case 0x16: LAUNCH_TINYGEMM_KERNEL_AVX(1, 6); break;
2406                        case 0x22: LAUNCH_TINYGEMM_KERNEL_AVX(2, 2); break;
2407                        case 0x24: LAUNCH_TINYGEMM_KERNEL_AVX(2, 4); break;
2408                        case 0x26: LAUNCH_TINYGEMM_KERNEL_AVX(2, 6); break;
2409                        case 0x32: LAUNCH_TINYGEMM_KERNEL_AVX(3, 2); break;
2410                        case 0x34: LAUNCH_TINYGEMM_KERNEL_AVX(3, 4); break;
2411                        case 0x36: LAUNCH_TINYGEMM_KERNEL_AVX(3, 6); break;
2412                        case 0x42: LAUNCH_TINYGEMM_KERNEL_AVX(4, 2); break;
2413                        case 0x44: LAUNCH_TINYGEMM_KERNEL_AVX(4, 4); break;
2414                        case 0x46: LAUNCH_TINYGEMM_KERNEL_AVX(4, 6); break;
2415                        default: fprintf(stderr, "Unexpected block size!\n");
2416                    }
2417                }
2418            });
2419        });
2420        return;
2421    }
2422
2423    // pointer to work space, used convert A from float to quantized type
2424    void * wdata = params->wdata;
2425
2426    //TODO: performance improvement: merge quant A
2427    if (params->ith == 0) {
2428        GGML_DISPATCH_QTYPES(TYPE, [&] {
2429            const size_t row_size_A = K / blck_size * sizeof(vec_dot_type);
2430            const size_t desired_wsize = M * row_size_A;
2431            if (params->wsize < desired_wsize) {
2432                GGML_ABORT("insufficient work space size");
2433            }
2434
2435            // Q4_0, Q4_1, Q8_0 handles 1 TILE_K per blck_size
2436            // Q4_K, Q5_K, Q6_K, IQ4_XS handles 8 TILE_K per blck_size
2437            GGML_ASSERT(TILE_K == blck_size || TILE_K * 8 == blck_size);
2438
2439            const float * A_data = static_cast<const float *>(src1->data);
2440            for (int m = 0; m < M; ++m) {
2441                from_float<vec_dot_type>(A_data + m * K, (char *)wdata + m * row_size_A, K);
2442            }
2443        });
2444    }
2445
2446    ggml_barrier(params->threadpool);
2447
2448    if (M == 1) {
2449        // MB = 1 and handle 8 tiles in each block
2450        constexpr int kTilesN = 4;
2451        constexpr int BLOCK_N = TILE_N * kTilesN;
2452        const int NB = div_up(N, BLOCK_N);
2453
2454        parallel_for_ggml(params, NB, [&](int begin, int end) {
2455            GGML_DISPATCH_QTYPES(TYPE, [&] {
2456                const int KB = K / blck_size;
2457                const int TILE_SIZE = get_tile_size<type>();
2458                const int row_size_A = KB * sizeof(vec_dot_type);
2459                for (int i = begin; i < end; ++i) {
2460                    int nb = i;
2461                    int nb_start = nb * BLOCK_N;
2462                    int nb_size = std::min(BLOCK_N, N - nb_start); // 32, 64, 96
2463
2464                    switch (nb_size) {
2465                        //case 160: LAUNCH_TINYGEMM_KERNEL_VNNI(160); break;
2466                        case 128: LAUNCH_TINYGEMM_KERNEL_VNNI(128); break;
2467                        case 96: LAUNCH_TINYGEMM_KERNEL_VNNI(96); break;
2468                        case 64: LAUNCH_TINYGEMM_KERNEL_VNNI(64); break;
2469                        case 32: LAUNCH_TINYGEMM_KERNEL_VNNI(32); break;
2470                        default: fprintf(stderr, "Unexpected n block size!\n");
2471                    }
2472                }
2473            });
2474        });
2475        return;
2476    }
2477
2478    // handle 4 tiles at a tile
2479    constexpr int BLOCK_M = TILE_M * 2;
2480    constexpr int BLOCK_N = TILE_N * 2;
2481    const int MB = div_up(M, BLOCK_M);
2482    const int NB = div_up(N, BLOCK_N);
2483
2484    parallel_for_ggml(params, MB * NB, [&](int begin, int end) {
2485        // init tile config for each thread
2486        ggml_tile_config_init();
2487
2488        GGML_DISPATCH_QTYPES(TYPE, [&] {
2489            const int KB = K / blck_size;
2490            const int TILE_SIZE = get_tile_size<type>();
2491            const int row_size_A = KB * sizeof(vec_dot_type);
2492
2493            for (int i = begin; i < end; ++i) {
2494                int mb = i / NB;
2495                int nb = i % NB;
2496
2497                int mb_start = mb * BLOCK_M;
2498                int mb_size = std::min(BLOCK_M, M - mb_start);
2499                int nb_start = nb * BLOCK_N;
2500                int nb_size = BLOCK_N;
2501
2502                tinygemm_kernel_amx<vec_dot_type, type, float, blck_size>(
2503                    mb_size, nb_size, KB,
2504                    (const char *)wdata + mb_start * row_size_A,
2505                    (const char *)src0->data + PACKED_INDEX(nb * 2, 0, KB, TILE_SIZE),
2506                    (float *) dst->data + mb_start * N + nb_start, ldc);
2507            }
2508        });
2509    });
2510}
2511
2512#endif // if defined(__AMX_INT8__) && defined(__AVX512VNNI__)