#pragma once

#include "common.cuh"
#include "vecdotq.cuh"
#include "mma.cuh"

#include <climits>
#include <cstdint>

using namespace ggml_cuda_mma;

#define MMQ_DP4A_MAX_BATCH_SIZE 64 // Max. batch size to use for dp4a MMQ kernels when FP16 tensor cores are available.
#define MMQ_ITER_K 256
#define MMQ_NWARPS 8

typedef void (*load_tiles_mmq_t)(const char * __restrict__ x, int * x_tile, const int kbx0, const int i_max, const int stride);
typedef void (*vec_dot_mmq_t)(const int * __restrict__ x, const int * __restrict__ y, float * __restrict__ sum, const int k00);
typedef void (*mmq_write_back_t)(const float * __restrict__ sum, const int32_t * __restrict__ get_rows_to_sorted,
    float * __restrict__ dst, const int stride, const int i_max, const int j_max);

enum mmq_q8_1_ds_layout {
    MMQ_Q8_1_DS_LAYOUT_D4,
    MMQ_Q8_1_DS_LAYOUT_DS4,
    MMQ_Q8_1_DS_LAYOUT_D2S6,
};

struct block_q8_1_mmq {
    // The y float data is converted to a data layout that can simply be copied to shared memory as a contiguous block.
    // The y float data is first grouped as blocks of 128 values.
    // These blocks are then treated as individual data values and transposed.
    //
    // To avoid shared memory bank conflicts each block is padded with 16 bytes.
    // This padding is also used to store block scales/partial sums.
    // The scales multiplied with the quantized data are equal to the unquantized values.
    // The partial sums are obtained by summing up a subgroup of the contained values (prior to quantization)
    //     and are only needed for performance reasons.
    //
    // The exact data stored depends on the x data type.
    union {
        float d4[4];    // 1 32 bit scale per 32 values, stored as d0,d1,d2,d3
        half2 ds4[4];   // 1 16 bit scale + 1 16 bit partial sum per 32 values, stored as d0,s0,d1,s1,d2,s2,d3,s3
        half  d2s6[8];  // 1 16 bit scale per 64 values + 1 16 bit partial sum per 16 values for the first 96 values,
                        //     stored as d0,d1,s1,s2,s3,s4,s5
    };
    int8_t qs[4*QK8_1]; // 128 values quantized to 8 bit each
};
static_assert(sizeof(block_q8_1_mmq) == 4*QK8_1 + 4*sizeof(half2), "Unexpected block_q8_1_mmq size");
static_assert(sizeof(block_q8_1_mmq) == 4*sizeof(block_q8_1),      "Unexpected block_q8_1_mmq size");

static mmq_q8_1_ds_layout mmq_get_q8_1_ds_layout(const ggml_type type_x) {
    switch (type_x) {
        case GGML_TYPE_Q4_0:
        case GGML_TYPE_Q4_1:
            return MMQ_Q8_1_DS_LAYOUT_DS4;
        case GGML_TYPE_Q5_0:
            return MMQ_Q8_1_DS_LAYOUT_D4;
        case GGML_TYPE_Q5_1:
            return MMQ_Q8_1_DS_LAYOUT_DS4;
        case GGML_TYPE_Q8_0:
            return MMQ_Q8_1_DS_LAYOUT_D4;
        case GGML_TYPE_MXFP4:
            return MMQ_Q8_1_DS_LAYOUT_D4;
        case GGML_TYPE_Q2_K:
            return MMQ_Q8_1_DS_LAYOUT_D2S6;
        case GGML_TYPE_Q3_K:
            return MMQ_Q8_1_DS_LAYOUT_D4;
        case GGML_TYPE_Q4_K:
        case GGML_TYPE_Q5_K:
            return MMQ_Q8_1_DS_LAYOUT_DS4;
        case GGML_TYPE_Q6_K:
        case GGML_TYPE_IQ2_XXS:
        case GGML_TYPE_IQ2_XS:
        case GGML_TYPE_IQ2_S:
        case GGML_TYPE_IQ3_XXS:
        case GGML_TYPE_IQ3_S:
            return MMQ_Q8_1_DS_LAYOUT_D4;
        case GGML_TYPE_IQ1_S:
            return MMQ_Q8_1_DS_LAYOUT_DS4;
        case GGML_TYPE_IQ4_XS:
        case GGML_TYPE_IQ4_NL:
            return MMQ_Q8_1_DS_LAYOUT_D4;
        default:
            GGML_ABORT("fatal error");
            break;
    }
}

struct tile_x_sizes {
    int qs;
    int dm;
    int sc;
};

static int get_mmq_x_max_host(const int cc) {
    return (amd_mfma_available(cc) || turing_mma_available(cc)) ? 128 :
        GGML_CUDA_CC_IS_NVIDIA(cc) && ggml_cuda_highest_compiled_arch(cc) >= GGML_CUDA_CC_VOLTA ?
#ifdef GGML_CUDA_FORCE_MMQ
            128                     : 64;
#else
            MMQ_DP4A_MAX_BATCH_SIZE : 64;
#endif // GGML_CUDA_FORCE_MMQ
}

static constexpr __device__ int get_mmq_x_max_device() {
#if defined(AMD_MFMA_AVAILABLE) || defined(TURING_MMA_AVAILABLE)
    return 128;
#else // defined(AMD_MFMA_AVAILABLE) || defined(TURING_MMA_AVAILABLE)

#if defined(GGML_USE_HIP)
    return 64;
#else // defined(GGML_USE_HIP)

#if __CUDA_ARCH__ >= GGML_CUDA_CC_VOLTA
#ifdef GGML_CUDA_FORCE_MMQ
    return 128;
#else // GGML_CUDA_FORCE_MMQ
    return MMQ_DP4A_MAX_BATCH_SIZE;
#endif // GGML_CUDA_FORCE_MMQ
#else // __CUDA_ARCH__ >= GGML_CUDA_CC_VOLTA
    return 64;
#endif // __CUDA_ARCH__ >= GGML_CUDA_CC_VOLTA

#endif // defined(GGML_USE_HIP)
#endif // defined(AMD_MFMA_AVAILABLE) || defined(TURING_MMA_AVAILABLE)
}

static int get_mmq_y_host(const int cc) {
    return GGML_CUDA_CC_IS_AMD(cc) ? (GGML_CUDA_CC_IS_RDNA1(cc) ? 64 : 128) :
        ((GGML_CUDA_CC_IS_NVIDIA(cc) && ggml_cuda_highest_compiled_arch(cc) >= GGML_CUDA_CC_VOLTA) ? 128 : 64);
}

static constexpr __device__ int get_mmq_y_device() {
#if defined(GGML_USE_HIP)
#if defined(RDNA1)
    return 64;
#else
    return 128;
#endif // defined RDNA1
#else
#if __CUDA_ARCH__ >= GGML_CUDA_CC_VOLTA
    return 128;
#else
    return 64;
#endif // __CUDA_ARCH__ >= GGML_CUDA_CC_VOLTA
#endif // defined(GGML_USE_HIP)
}

// Decouple shared memory tile sizes from WARP_SIZE to allow for different warp sizes.
// The K dimension of the tiles has either,
// 1*MMQ_TILE_NE_K==32 (always for TILE_Y_K) or 2*MMQ_TILE_NE_K==64 (typically for TILE_X_K),
// 32 bit elements for the quantized data (does not include scales).
// In other words, the size of the quantized data in the K dimension is a multiple of MMQ_TILE_NE_K.
// The final tile size in K direction is padded to avoid shared memory bank conflicts,
// in terms of 32 bit elements that means K % 2 == 1 for dp4a or K % 8 == 4 for mma.
#define MMQ_TILE_NE_K 32

#define MMQ_DP4A_TXS_Q4_0    tile_x_sizes{mmq_y*MMQ_TILE_NE_K   + mmq_y, mmq_y*MMQ_TILE_NE_K/QI4_0   + mmq_y/QI4_0,     0}
#define MMQ_DP4A_TXS_Q4_1    tile_x_sizes{mmq_y*MMQ_TILE_NE_K   + mmq_y, mmq_y*MMQ_TILE_NE_K/QI4_1   + mmq_y/QI4_1,     0}
#define MMQ_DP4A_TXS_Q8_0    tile_x_sizes{mmq_y*MMQ_TILE_NE_K*2 + mmq_y, mmq_y*MMQ_TILE_NE_K*2/QI8_0 + mmq_y/(QI8_0/2), 0}
#define MMQ_DP4A_TXS_Q8_0_16 tile_x_sizes{mmq_y*MMQ_TILE_NE_K*2 + mmq_y, mmq_y*MMQ_TILE_NE_K*4/QI8_0 + mmq_y/(QI8_0/4), 0}
#define MMQ_DP4A_TXS_Q8_1    tile_x_sizes{mmq_y*MMQ_TILE_NE_K*2 + mmq_y, mmq_y*MMQ_TILE_NE_K*2/QI8_1 + mmq_y/(QI8_1/2), 0}
#define MMQ_DP4A_TXS_Q2_K    tile_x_sizes{mmq_y*MMQ_TILE_NE_K*2 + mmq_y, mmq_y*MMQ_TILE_NE_K         + mmq_y,           0}
#define MMQ_DP4A_TXS_Q3_K    tile_x_sizes{mmq_y*MMQ_TILE_NE_K*2 + mmq_y, mmq_y,                                         mmq_y*MMQ_TILE_NE_K/8 + mmq_y/8}
#define MMQ_DP4A_TXS_Q4_K    tile_x_sizes{mmq_y*MMQ_TILE_NE_K   + mmq_y, mmq_y*MMQ_TILE_NE_K/QI4_K,                     mmq_y*MMQ_TILE_NE_K/8 + mmq_y/8}
#define MMQ_DP4A_TXS_Q5_K    tile_x_sizes{mmq_y*MMQ_TILE_NE_K*2 + mmq_y, mmq_y*MMQ_TILE_NE_K/QI5_K   + mmq_y/QI5_K,     mmq_y*MMQ_TILE_NE_K/8 + mmq_y/8}
#define MMQ_DP4A_TXS_Q6_K    tile_x_sizes{mmq_y*MMQ_TILE_NE_K*2 + mmq_y, mmq_y*MMQ_TILE_NE_K/QI6_K   + mmq_y/QI6_K,     mmq_y*MMQ_TILE_NE_K/8 + mmq_y/8}

static constexpr __host__ __device__ tile_x_sizes mmq_get_dp4a_tile_x_sizes(ggml_type type, int mmq_y) {
    switch (type) {
        case GGML_TYPE_Q4_0:    return MMQ_DP4A_TXS_Q4_0;
        case GGML_TYPE_Q4_1:    return MMQ_DP4A_TXS_Q4_1;
        case GGML_TYPE_Q5_0:    return MMQ_DP4A_TXS_Q8_0;
        case GGML_TYPE_Q5_1:    return MMQ_DP4A_TXS_Q8_1;
        case GGML_TYPE_Q8_0:    return MMQ_DP4A_TXS_Q8_0;
        case GGML_TYPE_MXFP4:   return MMQ_DP4A_TXS_Q8_1;
        case GGML_TYPE_Q2_K:    return MMQ_DP4A_TXS_Q2_K;
        case GGML_TYPE_Q3_K:    return MMQ_DP4A_TXS_Q3_K;
        case GGML_TYPE_Q4_K:    return MMQ_DP4A_TXS_Q4_K;
        case GGML_TYPE_Q5_K:    return MMQ_DP4A_TXS_Q5_K;
        case GGML_TYPE_Q6_K:    return MMQ_DP4A_TXS_Q6_K;
        case GGML_TYPE_IQ2_XXS: return MMQ_DP4A_TXS_Q8_0;
        case GGML_TYPE_IQ2_XS:  return MMQ_DP4A_TXS_Q8_0_16;
        case GGML_TYPE_IQ2_S:   return MMQ_DP4A_TXS_Q8_0_16;
        case GGML_TYPE_IQ3_XXS: return MMQ_DP4A_TXS_Q8_0;
        case GGML_TYPE_IQ3_S:   return MMQ_DP4A_TXS_Q8_0;
        case GGML_TYPE_IQ1_S:   return MMQ_DP4A_TXS_Q8_0;
        case GGML_TYPE_IQ4_XS:  return MMQ_DP4A_TXS_Q8_0;
        case GGML_TYPE_IQ4_NL:  return MMQ_DP4A_TXS_Q8_0;
        default:                return tile_x_sizes{0, 0, 0};
    }
}

#define MMQ_MMA_TILE_X_K_Q8_0 (2*MMQ_TILE_NE_K + 2*MMQ_TILE_NE_K/QI8_0                   + 4)
#define MMQ_MMA_TILE_X_K_Q8_1 (2*MMQ_TILE_NE_K + 2*MMQ_TILE_NE_K/QI8_0                   + 4)
#define MMQ_MMA_TILE_X_K_Q2_K (2*MMQ_TILE_NE_K + MMQ_TILE_NE_K                           + 4)
#define MMQ_MMA_TILE_X_K_Q3_K (2*MMQ_TILE_NE_K + MMQ_TILE_NE_K/2                         + 4)
#define MMQ_MMA_TILE_X_K_Q6_K (2*MMQ_TILE_NE_K + MMQ_TILE_NE_K/QI6_K   + MMQ_TILE_NE_K/8 + 7)

static_assert(MMQ_MMA_TILE_X_K_Q8_0 % 8 == 4, "Wrong padding.");
static_assert(MMQ_MMA_TILE_X_K_Q8_1 % 8 == 4, "Wrong padding.");
static_assert(MMQ_MMA_TILE_X_K_Q2_K % 8 == 4, "Wrong padding.");
static_assert(MMQ_MMA_TILE_X_K_Q3_K % 8 == 4, "Wrong padding.");
static_assert(MMQ_MMA_TILE_X_K_Q6_K % 8 == 4, "Wrong padding.");

static constexpr __host__ __device__ int mmq_get_mma_tile_x_k(ggml_type type) {
    switch (type) {
        case GGML_TYPE_Q4_0:    return MMQ_MMA_TILE_X_K_Q8_0;
        case GGML_TYPE_Q4_1:    return MMQ_MMA_TILE_X_K_Q8_1;
        case GGML_TYPE_Q5_0:    return MMQ_MMA_TILE_X_K_Q8_0;
        case GGML_TYPE_Q5_1:    return MMQ_MMA_TILE_X_K_Q8_1;
        case GGML_TYPE_Q8_0:    return MMQ_MMA_TILE_X_K_Q8_0;
        case GGML_TYPE_MXFP4:   return MMQ_MMA_TILE_X_K_Q8_1;
        case GGML_TYPE_Q2_K:    return MMQ_MMA_TILE_X_K_Q2_K;
        case GGML_TYPE_Q3_K:    return MMQ_MMA_TILE_X_K_Q3_K;
        case GGML_TYPE_Q4_K:    return MMQ_MMA_TILE_X_K_Q8_1;
        case GGML_TYPE_Q5_K:    return MMQ_MMA_TILE_X_K_Q8_1;
        case GGML_TYPE_Q6_K:    return MMQ_MMA_TILE_X_K_Q6_K;
        case GGML_TYPE_IQ2_XXS: return MMQ_MMA_TILE_X_K_Q8_0;
        case GGML_TYPE_IQ2_XS:  return MMQ_MMA_TILE_X_K_Q3_K;
        case GGML_TYPE_IQ2_S:   return MMQ_MMA_TILE_X_K_Q3_K;
        case GGML_TYPE_IQ3_XXS: return MMQ_MMA_TILE_X_K_Q8_0;
        case GGML_TYPE_IQ3_S:   return MMQ_MMA_TILE_X_K_Q8_0;
        case GGML_TYPE_IQ1_S:   return MMQ_MMA_TILE_X_K_Q8_0;
        case GGML_TYPE_IQ4_XS:  return MMQ_MMA_TILE_X_K_Q8_0;
        case GGML_TYPE_IQ4_NL:  return MMQ_MMA_TILE_X_K_Q8_0;
        default:                return 0;
    }
}

// block_q8_1_mmq has (128 8-bit ints == 32 32-bit ints + 4 32-bit scales)
#define MMQ_TILE_Y_K (MMQ_TILE_NE_K + MMQ_TILE_NE_K/QI8_1)

static int mmq_get_granularity_host(const int mmq_x, const int cc) {
    if (amd_mfma_available(cc)) {
        return mmq_x >= 128 ? 32 : 16;
    } else if (turing_mma_available(cc) && mmq_x >= 48) {
        return 16;
    } else {
        return 8;
    }
}

#if defined(AMD_MFMA_AVAILABLE)
static constexpr __device__ int mmq_get_granularity_device(const int mmq_x) {
    return mmq_x >= 128 ? 32 : 16;
}
#elif defined(TURING_MMA_AVAILABLE)
static constexpr __device__ int mmq_get_granularity_device(const int mmq_x) {
    return mmq_x >= 48 ? 16 : 8;
}
#else
static constexpr __device__ int mmq_get_granularity_device(const int /*mmq_x*/) {
    return 8;
}
#endif // AMD_MFMA_AVAILABLE

#if defined(GGML_USE_HIP)
static int mmq_get_nwarps_host(const int cc, const int warp_size) {
    return amd_mfma_available(cc) ? 8 : 256/warp_size;
}
#else
static int mmq_get_nwarps_host(const int /*cc*/, const int warp_size) {
    return 256/warp_size;
}
#endif // (GGML_USE_HIP)

static constexpr __device__ int mmq_get_nwarps_device() {
#if defined(AMD_MFMA_AVAILABLE)
    return 8;
#else
    return 256/ggml_cuda_get_physical_warp_size();
#endif // AMD_MFMA_AVAILABLE
}

// ------------------------------------------------------------

template <int mmq_y, bool need_check> static __device__ __forceinline__ void load_tiles_q4_0(
    const char * __restrict__ x, int * __restrict__ x_tile, const int kbx0, const int i_max, const int stride) {
    constexpr int nwarps = mmq_get_nwarps_device();
    constexpr int warp_size = ggml_cuda_get_physical_warp_size();

#if defined(AMD_MFMA_AVAILABLE) || defined(TURING_MMA_AVAILABLE)
    int   * x_qs = (int   *)  x_tile;
    float * x_df = (float *) (x_qs + 2*MMQ_TILE_NE_K);
#else
    constexpr tile_x_sizes txs = mmq_get_dp4a_tile_x_sizes(GGML_TYPE_Q4_0, mmq_y);
    int   * x_qs = (int   *)  x_tile;
    float * x_df = (float *) (x_qs + txs.qs);
#endif // defined(AMD_MFMA_AVAILABLE) || defined(TURING_MMA_AVAILABLE)

    constexpr int threads_per_row = MMQ_ITER_K / (4 * QR4_0);
    constexpr int nrows = warp_size / threads_per_row;
    const int txi = warp_size > threads_per_row ? threadIdx.x % threads_per_row : threadIdx.x;
    const int kbx  = txi / QI4_0;
    const int kqsx = txi % QI4_0;

#pragma unroll
    for (int i0 = 0; i0 < mmq_y; i0 += nrows*nwarps) {
        int i = i0 + (nrows == 1 ? threadIdx.y : threadIdx.y*nrows + threadIdx.x/threads_per_row);

        if (need_check) {
            i = min(i, i_max);
        }

        const block_q4_0 * bxi = (const block_q4_0 *) x + kbx0 + i*stride + kbx;
        const int qs0 = get_int_b2(bxi->qs, kqsx);

#if defined(AMD_MFMA_AVAILABLE) || defined(TURING_MMA_AVAILABLE)
        x_qs[i*MMQ_MMA_TILE_X_K_Q8_0 + kbx*(2*QI4_0) + kqsx + 0]     = __vsubss4((qs0 >> 0) & 0x0F0F0F0F, 0x08080808);
        x_qs[i*MMQ_MMA_TILE_X_K_Q8_0 + kbx*(2*QI4_0) + kqsx + QI4_0] = __vsubss4((qs0 >> 4) & 0x0F0F0F0F, 0x08080808);
#else
        x_qs[i*(MMQ_TILE_NE_K + 1) + txi] = qs0;
#endif // defined(AMD_MFMA_AVAILABLE) || defined(TURING_MMA_AVAILABLE)
    }

    constexpr int blocks_per_tile_x_row = MMQ_TILE_NE_K / QI4_0;
    constexpr int rows_per_warp = warp_size / blocks_per_tile_x_row;
    const int kbxd = threadIdx.x % blocks_per_tile_x_row;

#pragma unroll
    for (int i0 = 0; i0 < mmq_y; i0 += nwarps * rows_per_warp) {
        int i = i0 + threadIdx.y * rows_per_warp + threadIdx.x / blocks_per_tile_x_row;

        if (need_check) {
            i = min(i, i_max);
        }

        const block_q4_0 * bxi = (const block_q4_0 *) x + kbx0 + i*stride + kbxd;

#if defined(AMD_MFMA_AVAILABLE) || defined(TURING_MMA_AVAILABLE)
        x_df[i*MMQ_MMA_TILE_X_K_Q8_0           + kbxd] = bxi->d;
#else
        x_df[i*(MMQ_TILE_NE_K/QI4_0) + i/QI4_0 + kbxd] = bxi->d;
#endif // defined(AMD_MFMA_AVAILABLE) || defined(TURING_MMA_AVAILABLE)
    }
}

template <int mmq_x, int mmq_y>
static __device__ __forceinline__ void vec_dot_q4_0_q8_1_dp4a(
    const int * __restrict__ x, const int * __restrict__ y, float * __restrict__ sum, const int k00) {
    constexpr int nwarps = mmq_get_nwarps_device();
    constexpr int warp_size = ggml_cuda_get_physical_warp_size();

    constexpr tile_x_sizes txs = mmq_get_dp4a_tile_x_sizes(GGML_TYPE_Q4_0, mmq_y);
    const int   * x_qs = (const int   *) x;
    const float * x_df = (const float *) x_qs + txs.qs;
    const int   * y_qs = (const int   *) y + 4;
    const half2 * y_ds = (const half2 *) y;

// #pragma unroll
    for (int k01 = 0; k01 < MMQ_TILE_NE_K; k01 += QR4_0*VDR_Q4_0_Q8_1_MMQ) {
        const int k0 = k00 + k01;

#pragma unroll
        for (int j0 = 0; j0 < mmq_x; j0 += nwarps) {
            const int j = j0 + threadIdx.y;

#pragma unroll
            for (int i0 = 0; i0 < mmq_y; i0 += warp_size) {
                const int i = i0 + threadIdx.x;

                const int kyqs = QI8_1 * ((k01/2) / (QI8_1/2)) + (k01/2) % (QI8_1/2);

                int u[2*VDR_Q4_0_Q8_1_MMQ];

#pragma unroll
                for (int l = 0; l < VDR_Q4_0_Q8_1_MMQ; ++l) {
                    u[2*l+0] = y_qs[j*MMQ_TILE_Y_K + kyqs +  l];
                    u[2*l+1] = y_qs[j*MMQ_TILE_Y_K + kyqs + (l + QI4_0)];
                }

                sum[j0/nwarps*mmq_y/warp_size + i0/warp_size] += vec_dot_q4_0_q8_1_impl<VDR_Q4_0_Q8_1_MMQ>
                    (&x_qs[i*(MMQ_TILE_NE_K + 1) + k0/QR4_0], u,
                     x_df[i*(MMQ_TILE_NE_K/QI4_0) + i/QI4_0 + k0/(QR4_0*QI4_0)], y_ds[j*MMQ_TILE_Y_K + k01/QI8_1]);
            }
        }
    }
}

template <int mmq_y, bool need_check> static __device__ __forceinline__ void load_tiles_q4_1(
    const char * __restrict__ x, int * __restrict__ x_tile, const int kbx0, const int i_max, const int stride) {
    constexpr int nwarps = mmq_get_nwarps_device();
    constexpr int warp_size = ggml_cuda_get_physical_warp_size();

#if defined(AMD_MFMA_AVAILABLE) || defined(TURING_MMA_AVAILABLE)
    int   * x_qs = (int   *)  x_tile;
    half2 * x_dm = (half2 *) (x_qs + 2*MMQ_TILE_NE_K);
#else
    constexpr tile_x_sizes txs = mmq_get_dp4a_tile_x_sizes(GGML_TYPE_Q4_1, mmq_y);
    int   * x_qs = (int   *)  x_tile;
    half2 * x_dm = (half2 *) (x_qs + txs.qs);
#endif // defined(AMD_MFMA_AVAILABLE) || defined(TURING_MMA_AVAILABLE)

    constexpr int threads_per_row = MMQ_ITER_K / (4 * QR4_1);
    constexpr int nrows = warp_size / threads_per_row;
    const int txi = warp_size > threads_per_row ? threadIdx.x % threads_per_row : threadIdx.x;
    const int kbx  = txi / QI4_1;
    const int kqsx = txi % QI4_1;

#pragma unroll
    for (int i0 = 0; i0 < mmq_y; i0 += nrows*nwarps) {
        int i = i0 + (nrows == 1 ? threadIdx.y : threadIdx.y*nrows + threadIdx.x/threads_per_row);

        if (need_check) {
            i = min(i, i_max);
        }

        const block_q4_1 * bxi = (const block_q4_1 *) x + kbx0 + i*stride + kbx;
        const int qs0 = get_int_b4(bxi->qs, kqsx);

#if defined(AMD_MFMA_AVAILABLE) || defined(TURING_MMA_AVAILABLE)
        x_qs[i*MMQ_MMA_TILE_X_K_Q8_1 + kbx*(2*QI4_1) + kqsx + 0]     = (qs0 >> 0) & 0x0F0F0F0F;
        x_qs[i*MMQ_MMA_TILE_X_K_Q8_1 + kbx*(2*QI4_1) + kqsx + QI4_1] = (qs0 >> 4) & 0x0F0F0F0F;
#else
        x_qs[i*(MMQ_TILE_NE_K + 1) + txi] = qs0;
#endif // defined(AMD_MFMA_AVAILABLE) || defined(TURING_MMA_AVAILABLE)
    }

    constexpr int blocks_per_tile_x_row = MMQ_TILE_NE_K / QI4_1;
    constexpr int rows_per_warp = warp_size / blocks_per_tile_x_row;
    const int kbxd = threadIdx.x % blocks_per_tile_x_row;

#pragma unroll
    for (int i0 = 0; i0 < mmq_y; i0 += nwarps * rows_per_warp) {
        int i = i0 + threadIdx.y * rows_per_warp + threadIdx.x / blocks_per_tile_x_row;

        if (need_check) {
            i = min(i, i_max);
        }

        const block_q4_1 * bxi = (const block_q4_1 *) x + kbx0 + i*stride + kbxd;

#if defined(AMD_MFMA_AVAILABLE) || defined(TURING_MMA_AVAILABLE)
        x_dm[i*MMQ_MMA_TILE_X_K_Q8_1           + kbxd] = bxi->dm;
#else
        x_dm[i*(MMQ_TILE_NE_K/QI4_1) + i/QI4_1 + kbxd] = bxi->dm;
#endif // defined(AMD_MFMA_AVAILABLE) || defined(TURING_MMA_AVAILABLE)
    }
}

template <int mmq_x, int mmq_y>
static __device__ __forceinline__ void vec_dot_q4_1_q8_1_dp4a(
    const int * __restrict__ x, const int * __restrict__ y, float * __restrict__ sum, const int k00) {
    constexpr int nwarps = mmq_get_nwarps_device();
    constexpr int warp_size = ggml_cuda_get_physical_warp_size();

    constexpr tile_x_sizes txs = mmq_get_dp4a_tile_x_sizes(GGML_TYPE_Q4_1, mmq_y);
    const int   * x_qs = (const int   *) x;
    const half2 * x_dm = (const half2 *) x_qs + txs.qs;
    const int   * y_qs = (const int   *) y + 4;
    const half2 * y_ds = (const half2 *) y;

// #pragma unroll
    for (int k01 = 0; k01 < MMQ_TILE_NE_K; k01 += QR4_1*VDR_Q4_1_Q8_1_MMQ) {
        const int k0 = k00 + k01;

#pragma unroll
        for (int j0 = 0; j0 < mmq_x; j0 += nwarps) {
            const int j = j0 + threadIdx.y;

#pragma unroll
            for (int i0 = 0; i0 < mmq_y; i0 += warp_size) {
                const int i = i0 + threadIdx.x;

                const int kyqs = QI8_1 * ((k01/2) / (QI8_1/2)) + (k01/2) % (QI8_1/2);

                int u[2*VDR_Q4_1_Q8_1_MMQ];

#pragma unroll
                for (int l = 0; l < VDR_Q4_1_Q8_1_MMQ; ++l) {
                    u[2*l+0] = y_qs[j*MMQ_TILE_Y_K + kyqs +  l];
                    u[2*l+1] = y_qs[j*MMQ_TILE_Y_K + kyqs + (l + QI4_1)];
                }

                sum[j0/nwarps*mmq_y/warp_size + i0/warp_size] += vec_dot_q4_1_q8_1_impl<VDR_Q4_1_Q8_1_MMQ>
                    (&x_qs[i*(MMQ_TILE_NE_K + 1) + k0/QR4_1], u,
                     x_dm[i*(MMQ_TILE_NE_K/QI4_1) + i/QI4_1 + k0/(QR4_1*QI4_1)], y_ds[j*MMQ_TILE_Y_K + k01/QI8_1]);
            }
        }
    }
}

template <int mmq_y, bool need_check> static __device__ __forceinline__ void load_tiles_q5_0(
    const char * __restrict__ x, int * __restrict__ x_tile, const int kbx0, const int i_max, const int stride) {
    constexpr int nwarps = mmq_get_nwarps_device();
    constexpr int warp_size = ggml_cuda_get_physical_warp_size();

#if defined(AMD_MFMA_AVAILABLE) || defined(TURING_MMA_AVAILABLE)
    int   * x_qs = (int   *)  x_tile;
    float * x_df = (float *) (x_qs + MMQ_TILE_NE_K*2);
#else
    constexpr tile_x_sizes txs = mmq_get_dp4a_tile_x_sizes(GGML_TYPE_Q5_0, mmq_y);
    int   * x_qs = (int   *)  x_tile;
    float * x_df = (float *) (x_qs + txs.qs);
#endif // defined(AMD_MFMA_AVAILABLE) || defined(TURING_MMA_AVAILABLE)

    constexpr int threads_per_row = MMQ_ITER_K / (4 * QR5_0);
    constexpr int nrows = warp_size / threads_per_row;
    const int txi = warp_size > threads_per_row ? threadIdx.x % threads_per_row : threadIdx.x;
    const int kbx  = txi / QI5_0;
    const int kqsx = txi % QI5_0;

#pragma unroll
    for (int i0 = 0; i0 < mmq_y; i0 += nrows*nwarps) {
        int i = i0 + (nrows == 1 ? threadIdx.y : threadIdx.y*nrows + threadIdx.x/threads_per_row);

        if (need_check) {
            i = min(i, i_max);
        }

        const block_q5_0 * bxi = (const block_q5_0 *) x + kbx0 + i*stride + kbx;

        const int ql = get_int_b2(bxi->qs, kqsx);
        const int qh = get_int_b2(bxi->qh, 0) >> (4 * kqsx);

        int qs0 = (ql >>  0)   & 0x0F0F0F0F;
        qs0    |= (qh <<  4)   & 0x00000010;  // 0 ->  4
        qs0    |= (qh << 11)   & 0x00001000;  // 1 -> 12
        qs0    |= (qh << 18)   & 0x00100000;  // 2 -> 20
        qs0    |= (qh << 25)   & 0x10000000;  // 3 -> 28
        qs0     = __vsubss4(qs0, 0x10101010); // subtract 16

        int qs1 = (ql >>  4)   & 0x0F0F0F0F;
        qs1    |= (qh >> 12)   & 0x00000010;  // 16 ->  4
        qs1    |= (qh >>  5)   & 0x00001000;  // 17 -> 12
        qs1    |= (qh <<  2)   & 0x00100000;  // 18 -> 20
        qs1    |= (qh <<  9)   & 0x10000000;  // 19 -> 28
        qs1     = __vsubss4(qs1, 0x10101010); // subtract 16

#if defined(AMD_MFMA_AVAILABLE) || defined(TURING_MMA_AVAILABLE)
        x_qs[i*MMQ_MMA_TILE_X_K_Q8_0 + kbx*(2*QI5_0) + kqsx + 0]     = qs0;
        x_qs[i*MMQ_MMA_TILE_X_K_Q8_0 + kbx*(2*QI5_0) + kqsx + QI5_0] = qs1;
#else
        x_qs[i*(2*MMQ_TILE_NE_K + 1) + kbx*(2*QI5_0) + kqsx + 0]     = qs0;
        x_qs[i*(2*MMQ_TILE_NE_K + 1) + kbx*(2*QI5_0) + kqsx + QI5_0] = qs1;
#endif // defined(AMD_MFMA_AVAILABLE) || defined(TURING_MMA_AVAILABLE)
    }

    constexpr int blocks_per_tile_x_row = MMQ_TILE_NE_K / QI5_0;
    constexpr int rows_per_warp = warp_size / blocks_per_tile_x_row;
    const int kbxd = threadIdx.x % blocks_per_tile_x_row;

#pragma unroll
    for (int i0 = 0; i0 < mmq_y; i0 += nwarps * rows_per_warp) {
        int i = i0 + threadIdx.y * rows_per_warp + threadIdx.x / blocks_per_tile_x_row;

        if (need_check) {
            i = min(i, i_max);
        }

        const block_q5_0 * bxi = (const block_q5_0 *) x + kbx0 + i*stride + kbxd;

#if defined(AMD_MFMA_AVAILABLE) || defined(TURING_MMA_AVAILABLE)
        x_df[i*MMQ_MMA_TILE_X_K_Q8_0           + kbxd] = bxi->d;
#else
        x_df[i*(MMQ_TILE_NE_K/QI5_0) + i/QI5_0 + kbxd] = bxi->d;
#endif // defined(AMD_MFMA_AVAILABLE) || defined(TURING_MMA_AVAILABLE)
    }
}

template <int mmq_y, bool need_check> static __device__ __forceinline__ void load_tiles_q5_1(
    const char * __restrict__ x, int * __restrict__ x_tile, const int kbx0, const int i_max, const int stride) {
    constexpr int nwarps = mmq_get_nwarps_device();
    constexpr int warp_size = ggml_cuda_get_physical_warp_size();

#if defined(AMD_MFMA_AVAILABLE) || defined(TURING_MMA_AVAILABLE)
    int   * x_qs = (int   *)  x_tile;
    half2 * x_dm = (half2 *) (x_qs + 2*MMQ_TILE_NE_K);
#else
    constexpr tile_x_sizes txs = mmq_get_dp4a_tile_x_sizes(GGML_TYPE_Q5_1, mmq_y);
    int   * x_qs = (int   *)  x_tile;
    half2 * x_dm = (half2 *) (x_qs + txs.qs);
#endif // defined(AMD_MFMA_AVAILABLE) || defined(TURING_MMA_AVAILABLE)

    constexpr int threads_per_row = MMQ_ITER_K / (4 * QR5_1);
    constexpr int nrows = warp_size / threads_per_row;
    const int txi = warp_size > threads_per_row ? threadIdx.x % threads_per_row : threadIdx.x;
    const int kbx  = txi / QI5_1;
    const int kqsx = txi % QI5_1;

#pragma unroll
    for (int i0 = 0; i0 < mmq_y; i0 += nrows*nwarps) {
        int i = i0 + (nrows == 1 ? threadIdx.y : threadIdx.y*nrows + threadIdx.x/threads_per_row);

        if (need_check) {
            i = min(i, i_max);
        }

        const block_q5_1 * bxi = (const block_q5_1 *) x + kbx0 + i*stride + kbx;

        const int ql = get_int_b4(bxi->qs, kqsx);
        const int qh = get_int_b4(bxi->qh, 0) >> (4 * kqsx);

        int qs0 = (ql >>  0) & 0x0F0F0F0F;
        qs0    |= (qh <<  4) & 0x00000010; // 0 ->  4
        qs0    |= (qh << 11) & 0x00001000; // 1 -> 12
        qs0    |= (qh << 18) & 0x00100000; // 2 -> 20
        qs0    |= (qh << 25) & 0x10000000; // 3 -> 28

        int qs1 = (ql >>  4) & 0x0F0F0F0F;
        qs1    |= (qh >> 12) & 0x00000010; // 16 ->  4
        qs1    |= (qh >>  5) & 0x00001000; // 17 -> 12
        qs1    |= (qh <<  2) & 0x00100000; // 18 -> 20
        qs1    |= (qh <<  9) & 0x10000000; // 19 -> 28

#if defined(AMD_MFMA_AVAILABLE) || defined(TURING_MMA_AVAILABLE)
        x_qs[i*MMQ_MMA_TILE_X_K_Q8_1 + kbx*(2*QI5_1) + kqsx + 0]     = qs0;
        x_qs[i*MMQ_MMA_TILE_X_K_Q8_1 + kbx*(2*QI5_1) + kqsx + QI5_1] = qs1;
#else
        x_qs[i*(2*MMQ_TILE_NE_K + 1) + kbx*(2*QI5_1) + kqsx + 0]     = qs0;
        x_qs[i*(2*MMQ_TILE_NE_K + 1) + kbx*(2*QI5_1) + kqsx + QI5_1] = qs1;
#endif // defined(AMD_MFMA_AVAILABLE) || defined(TURING_MMA_AVAILABLE)
    }

    constexpr int blocks_per_tile_x_row = MMQ_TILE_NE_K / QI5_1;
    constexpr int rows_per_warp = warp_size / blocks_per_tile_x_row;
    const int kbxd = threadIdx.x % blocks_per_tile_x_row;

#pragma unroll
    for (int i0 = 0; i0 < mmq_y; i0 += nwarps * rows_per_warp) {
        int i = i0 + threadIdx.y * rows_per_warp + threadIdx.x / blocks_per_tile_x_row;

        if (need_check) {
            i = min(i, i_max);
        }

        const block_q5_1 * bxi = (const block_q5_1 *) x + kbx0 + i*stride + kbxd;

#if defined(AMD_MFMA_AVAILABLE) || defined(TURING_MMA_AVAILABLE)
        x_dm[i*MMQ_MMA_TILE_X_K_Q8_1           + kbxd] = bxi->dm;
#else
        x_dm[i*(MMQ_TILE_NE_K/QI5_1) + i/QI5_1 + kbxd] = bxi->dm;
#endif // defined(AMD_MFMA_AVAILABLE) || defined(TURING_MMA_AVAILABLE)
    }
}

template <int mmq_y, bool need_check> static __device__ __forceinline__ void load_tiles_q8_0(
    const char * __restrict__ x, int * __restrict__ x_tile, const int kbx0, const int i_max, const int stride) {
    constexpr int nwarps = mmq_get_nwarps_device();
    constexpr int warp_size = ggml_cuda_get_physical_warp_size();

#if defined(AMD_MFMA_AVAILABLE) || defined(TURING_MMA_AVAILABLE)
    int   * x_qs = (int   *)  x_tile;
    float * x_df = (float *) (x_tile + 2*MMQ_TILE_NE_K);
#else
    constexpr tile_x_sizes txs = mmq_get_dp4a_tile_x_sizes(GGML_TYPE_Q8_0, mmq_y);
    int   * x_qs = (int   *)  x_tile;
    float * x_df = (float *) (x_qs + txs.qs);
#endif // defined(AMD_MFMA_AVAILABLE) || defined(TURING_MMA_AVAILABLE)

    // MMQ_ITER_K / (4 * QR8_0) == 64 required. but NV has only 32 threads per warp
    constexpr int threads_per_row = 32;
    constexpr int nrows = warp_size / threads_per_row;
    const int txi = warp_size > threads_per_row ? threadIdx.x % threads_per_row : threadIdx.x;
    const int kbx  = txi / QI8_0;
    const int kqsx = txi % QI8_0;

#pragma unroll
    for (int i0 = 0; i0 < mmq_y; i0 += nrows*nwarps) {
        int i = i0 + (nrows == 1 ? threadIdx.y : threadIdx.y*nrows + threadIdx.x/threads_per_row);

        if (need_check) {
            i = min(i, i_max);
        }

        const block_q8_0 * bxi = (const block_q8_0 *) x + kbx0 + i*stride + kbx;

#if defined(AMD_MFMA_AVAILABLE) || defined(TURING_MMA_AVAILABLE)
        x_qs[i*MMQ_MMA_TILE_X_K_Q8_0 + 0             + txi] = get_int_b2(bxi[0].qs,                   kqsx);
        x_qs[i*MMQ_MMA_TILE_X_K_Q8_0 + MMQ_TILE_NE_K + txi] = get_int_b2(bxi[MMQ_TILE_NE_K/QI8_0].qs, kqsx);
#else
        x_qs[i*(2*MMQ_TILE_NE_K + 1) + 0             + txi] = get_int_b2(bxi[0].qs,                   kqsx);
        x_qs[i*(2*MMQ_TILE_NE_K + 1) + MMQ_TILE_NE_K + txi] = get_int_b2(bxi[MMQ_TILE_NE_K/QI8_0].qs, kqsx);
#endif // defined(AMD_MFMA_AVAILABLE) || defined(TURING_MMA_AVAILABLE)
    }

    constexpr int blocks_per_tile_x_row = 2*MMQ_TILE_NE_K / QI8_0;
    constexpr int rows_per_warp = warp_size / blocks_per_tile_x_row;
    const int kbxd = threadIdx.x % blocks_per_tile_x_row;

#pragma unroll
    for (int i0 = 0; i0 < mmq_y; i0 += nwarps * rows_per_warp) {
        int i = i0 + threadIdx.y * rows_per_warp + threadIdx.x / blocks_per_tile_x_row;

        if (need_check) {
            i = min(i, i_max);
        }

        const block_q8_0 * bxi = (const block_q8_0 *) x + kbx0 + i*stride + kbxd;

#if defined(AMD_MFMA_AVAILABLE) || defined(TURING_MMA_AVAILABLE)
        x_df[i*MMQ_MMA_TILE_X_K_Q8_0                 + kbxd] = bxi->d;
#else
        x_df[i*(2*MMQ_TILE_NE_K/QI8_0) + i/(QI8_0/2) + kbxd] = bxi->d;
#endif // defined(AMD_MFMA_AVAILABLE) || defined(TURING_MMA_AVAILABLE)
    }
}

template <int mmq_y, bool need_check> static __device__ __forceinline__ void load_tiles_mxfp4(
    const char * __restrict__ x, int * __restrict__ x_tile, const int kbx0, const int i_max, const int stride) {
    constexpr int nwarps = mmq_get_nwarps_device();
    constexpr int warp_size = ggml_cuda_get_physical_warp_size();

#if defined(AMD_MFMA_AVAILABLE) || defined(TURING_MMA_AVAILABLE)
    int   * x_qs = (int   *)  x_tile;
    float * x_df = (float *) (x_qs + MMQ_TILE_NE_K*2);
#else
    constexpr tile_x_sizes txs = mmq_get_dp4a_tile_x_sizes(GGML_TYPE_MXFP4, mmq_y);
    int   * x_qs = (int   *)  x_tile;
    float * x_df = (float *) (x_qs + txs.qs);
#endif // defined(AMD_MFMA_AVAILABLE) || defined(TURING_MMA_AVAILABLE)

    constexpr int threads_per_row = MMQ_ITER_K / (4 * QR_MXFP4);
    constexpr int nrows = warp_size / threads_per_row;
    const int txi = warp_size > threads_per_row ? threadIdx.x % threads_per_row : threadIdx.x;
    const int kbx  = txi / QI_MXFP4;
    const int kqsx = txi % QI_MXFP4;

#pragma unroll
    for (int i0 = 0; i0 < mmq_y; i0 += nrows*nwarps) {
        int i = i0 + (nrows == 1 ? threadIdx.y : threadIdx.y*nrows + threadIdx.x/threads_per_row);

        if (need_check) {
            i = min(i, i_max);
        }

        const block_mxfp4 * bxi = (const block_mxfp4 *) x + kbx0 + i*stride + kbx;

        const int aux_q4 = get_int_b1(bxi->qs, kqsx);
        const int2 v = get_int_from_table_16(aux_q4, kvalues_mxfp4);
        const int k0 = kbx * (2 * QI_MXFP4) + kqsx;

#if defined(AMD_MFMA_AVAILABLE) || defined(TURING_MMA_AVAILABLE)
        x_qs[i*MMQ_MMA_TILE_X_K_Q8_1 + k0 + 0]        = v.x;
        x_qs[i*MMQ_MMA_TILE_X_K_Q8_1 + k0 + QI_MXFP4] = v.y;
#else
        x_qs[i*(2*MMQ_TILE_NE_K + 1) + k0 + 0]        = v.x;
        x_qs[i*(2*MMQ_TILE_NE_K + 1) + k0 + QI_MXFP4] = v.y;
#endif // defined(AMD_MFMA_AVAILABLE) || defined(TURING_MMA_AVAILABLE)
    }

    constexpr int blocks_per_tile_x_row = MMQ_TILE_NE_K / QI_MXFP4;
    constexpr int rows_per_warp = warp_size / blocks_per_tile_x_row;
    const int kbxd = threadIdx.x % blocks_per_tile_x_row;

#pragma unroll
    for (int i0 = 0; i0 < mmq_y; i0 += nwarps * rows_per_warp) {
        int i = i0 + threadIdx.y * rows_per_warp + threadIdx.x / blocks_per_tile_x_row;

        if (need_check) {
            i = min(i, i_max);
        }

        const block_mxfp4 * bxi = (const block_mxfp4 *) x + kbx0 + i*stride + kbxd;

#if defined(AMD_MFMA_AVAILABLE) || defined(TURING_MMA_AVAILABLE)
        x_df[i*MMQ_MMA_TILE_X_K_Q8_1                 + kbxd] = ggml_cuda_e8m0_to_fp32(bxi->e)*0.5f;
#else
        x_df[i*(MMQ_TILE_NE_K/QI_MXFP4) + i/QI_MXFP4 + kbxd] = ggml_cuda_e8m0_to_fp32(bxi->e)*0.5f;
#endif // defined(AMD_MFMA_AVAILABLE) || defined(TURING_MMA_AVAILABLE)
    }
}

template <int mmq_x, int mmq_y>
static __device__ __forceinline__ void vec_dot_q8_0_q8_1_dp4a(
    const int * __restrict__ x, const int * __restrict__ y, float * __restrict__ sum, const int k00) {
    constexpr int nwarps = mmq_get_nwarps_device();
    constexpr int warp_size = ggml_cuda_get_physical_warp_size();

    constexpr tile_x_sizes txs = mmq_get_dp4a_tile_x_sizes(GGML_TYPE_Q8_0, mmq_y);
    const int   * x_qs = (const int   *) x;
    const float * x_df = (const float *) x_qs + txs.qs;
    const int   * y_qs = (const int   *) y + 4;
    const float * y_df = (const float *) y;

// #pragma unroll
    for (int k01 = 0; k01 < MMQ_TILE_NE_K; k01 += VDR_Q8_0_Q8_1_MMQ) {
        const int k0 = k00 + k01;

#pragma unroll
        for (int j0 = 0; j0 < mmq_x; j0 += nwarps) {
            const int j = j0 + threadIdx.y;

#pragma unroll
            for (int i0 = 0; i0 < mmq_y; i0 += warp_size) {
                const int i = i0 + threadIdx.x;

                sum[j0/nwarps*mmq_y/warp_size + i0/warp_size] += vec_dot_q8_0_q8_1_impl<float, VDR_Q8_0_Q8_1_MMQ>
                    (&x_qs[i*(2*MMQ_TILE_NE_K + 1) + k0], &y_qs[j*MMQ_TILE_Y_K + k0 % MMQ_TILE_NE_K],
                     x_df[i*(2*MMQ_TILE_NE_K/QI8_0) + i/(QI8_0/2) + k0/QI8_0], y_df[j*MMQ_TILE_Y_K + (k0/QI8_1) % (MMQ_TILE_NE_K/QI8_1)]);
            }
        }
    }
}

template <int mmq_x, int mmq_y, mmq_q8_1_ds_layout ds_layout>
static __device__ __forceinline__ void vec_dot_q8_0_q8_1_mma(
    const int * __restrict__ x, const int * __restrict__ y, float * __restrict__ sum, const int k00) {
#if defined(AMD_MFMA_AVAILABLE)
    typedef tile<16,  8, int> tile_A;
    typedef tile<16,  8, int> tile_B;
    typedef tile<16, 16, int> tile_C;

    constexpr int granularity = mmq_get_granularity_device(mmq_x);
    constexpr int rows_per_warp = granularity;
    constexpr int ntx = rows_per_warp/tile_C::I; // Number of x minitiles per warp.

    y += (threadIdx.y % ntx) * (tile_C::J*MMQ_TILE_Y_K);

    const int   * x_qs = (const int   *) x;
    const float * x_df = (const float *) x_qs + 2*MMQ_TILE_NE_K;
    const int   * y_qs = (const int   *) y + 4;
    const float * y_df = (const float *) y;
    const half2 * y_ds = (const half2 *) y;

    const int i0 = (threadIdx.y / ntx) * rows_per_warp;

    for (int k01 = 0; k01 < MMQ_TILE_NE_K; k01 += QI8_0) {
        const int k0 = k00 + k01;

        tile_A A[ntx];
#pragma unroll
        for (int n = 0; n < ntx; ++n) {
            load_generic(A[n], x_qs + (i0 + n*tile_A::I)*MMQ_MMA_TILE_X_K_Q8_0 + k0, MMQ_MMA_TILE_X_K_Q8_0);
        }

#pragma unroll
        for (int j0 = 0; j0 < mmq_x; j0 += ntx*tile_C::J) {
            tile_B B;
            load_generic(B, y_qs + j0*MMQ_TILE_Y_K + k01, MMQ_TILE_Y_K);

            float dB;
            const int j = j0 + tile_C::get_j(0);
            if (ds_layout == MMQ_Q8_1_DS_LAYOUT_D4) {
                dB = y_df[j*MMQ_TILE_Y_K + k01/QI8_1];
            } else {
                dB = __low2float(y_ds[j*MMQ_TILE_Y_K + k01/QI8_1]);
            }

#pragma unroll
            for (int n = 0; n < ntx; ++n) {
                tile_C C;
                mma(C, A[n], B);

#pragma unroll
                for (int l = 0; l < tile_C::ne; ++l) {
                    const int i = i0 + n*tile_A::I + tile_C::get_i(l);
                    const float dA = x_df[i*MMQ_MMA_TILE_X_K_Q8_0 + k0/QI8_0];
                    sum[(j0/tile_C::J + n)*tile_C::ne + l] += C.x[l]*dA*dB;
                }
            }
        }
    }
#else
    typedef tile<16, 8, int> tile_A;
    typedef tile< 8, 8, int> tile_B;
    typedef tile<16, 8, int> tile_C;

    constexpr int granularity = mmq_get_granularity_device(mmq_x);
    constexpr int rows_per_warp = 2 * granularity;
    constexpr int ntx = rows_per_warp/tile_C::I; // Number of x minitiles per warp.

    y += (threadIdx.y % ntx) * (tile_C::J*MMQ_TILE_Y_K);

    const int   * x_qs = (const int   *) x;
    const float * x_df = (const float *) x_qs + 2*MMQ_TILE_NE_K;
    const int   * y_qs = (const int   *) y + 4;
    const float * y_df = (const float *) y;
    const half2 * y_ds = (const half2 *) y;

    tile_A A[ntx][MMQ_TILE_NE_K/QI8_0];
    float dA[ntx][tile_C::ne/2][MMQ_TILE_NE_K/QI8_0];

    const int i0 = (threadIdx.y/ntx)*rows_per_warp;

#pragma unroll
    for (int n = 0; n < ntx; ++n) {
#pragma unroll
        for (int k01 = 0; k01 < MMQ_TILE_NE_K; k01 += QI8_0) {
            const int k0 = k00 + k01;

            load_ldmatrix(A[n][k01/QI8_0], x_qs + (i0 + n*tile_A::I)*MMQ_MMA_TILE_X_K_Q8_0 + k0, MMQ_MMA_TILE_X_K_Q8_0);
        }

#pragma unroll
        for (int l = 0; l < tile_C::ne/2; ++l) {
            const int i = i0 + n*tile_A::I + tile_C::get_i(2*l);

#pragma unroll
            for (int k01 = 0; k01 < MMQ_TILE_NE_K; k01 += QI8_0) {
                const int k0 = k00 + k01;

                dA[n][l][k01/QI8_0] = x_df[i*MMQ_MMA_TILE_X_K_Q8_0 + k0/QI8_0];
            }
        }
    }

#pragma unroll
    for (int j0 = 0; j0 < mmq_x; j0 += ntx*tile_C::J) {
#pragma unroll
        for (int k01 = 0; k01 < MMQ_TILE_NE_K; k01 += QI8_0) {
            tile_B B;
            float dB[tile_C::ne/2];

            load_generic(B, y_qs + j0*MMQ_TILE_Y_K + k01, MMQ_TILE_Y_K); // faster than load_ldmatrix

#pragma unroll
            for (int l = 0; l < tile_C::ne/2; ++l) {
                const int j = j0 + tile_C::get_j(l);

                if (ds_layout == MMQ_Q8_1_DS_LAYOUT_D4) {
                    dB[l] =             y_df[j*MMQ_TILE_Y_K + k01/QI8_1];
                } else {
                    dB[l] = __low2float(y_ds[j*MMQ_TILE_Y_K + k01/QI8_1]);
                }
            }

#pragma unroll
            for (int n = 0; n < ntx; ++n) {
                tile_C C;
                mma(C, A[n][k01/QI8_0], B);

#pragma unroll
                for (int l = 0; l < tile_C::ne; ++l) {
                    sum[(j0/tile_C::J + n)*tile_C::ne + l] += C.x[l]*dA[n][l/2][k01/QI8_0]*dB[l%2];
                }
            }
        }
    }
#endif // defined(AMD_MFMA_AVAILABLE)
}

template <int mmq_x, int mmq_y>
static __device__ __forceinline__ void vec_dot_q8_1_q8_1_dp4a(
    const int * __restrict__ x, const int * __restrict__ y, float * __restrict__ sum, const int k00) {
    constexpr int nwarps = mmq_get_nwarps_device();
    constexpr int warp_size = ggml_cuda_get_physical_warp_size();

    constexpr tile_x_sizes txs = mmq_get_dp4a_tile_x_sizes(GGML_TYPE_Q5_1, mmq_y);
    const int   * x_qs = (const int   *) x;
    const half2 * x_dm = (const half2 *) x_qs + txs.qs;
    const int   * y_qs = (const int   *) y + 4;
    const half2 * y_ds = (const half2 *) y;

// #pragma unroll
    for (int k01 = 0; k01 < MMQ_TILE_NE_K; k01 += VDR_Q8_0_Q8_1_MMQ) {
        const int k0 = k00 + k01;

#pragma unroll
        for (int j0 = 0; j0 < mmq_x; j0 += nwarps) {
            const int j = j0 + threadIdx.y;

#pragma unroll
            for (int i0 = 0; i0 < mmq_y; i0 += warp_size) {
                const int i = i0 + threadIdx.x;

                sum[j0/nwarps*mmq_y/warp_size + i0/warp_size] += vec_dot_q8_1_q8_1_impl<QR5_1*VDR_Q5_1_Q8_1_MMQ>
                    (&x_qs[i*(2*MMQ_TILE_NE_K + 1) + k0], &y_qs[j*MMQ_TILE_Y_K + k01],
                    x_dm[i*(MMQ_TILE_NE_K/QI5_1) + i/QI5_1 + k0/QI8_1], y_ds[j*MMQ_TILE_Y_K + k01/QI8_1]);
            }
        }
    }
}

template <int mmq_x, int mmq_y>
static __device__ __forceinline__ void vec_dot_q8_1_q8_1_mma(
    const int * __restrict__ x, const int * __restrict__ y, float * __restrict__ sum, const int k00) {
#if defined(AMD_MFMA_AVAILABLE)
    typedef tile<16,  8, int> tile_A;
    typedef tile<16,  8, int> tile_B;
    typedef tile<16, 16, int> tile_C;

    constexpr int granularity = mmq_get_granularity_device(mmq_x);
    constexpr int rows_per_warp = granularity;
    constexpr int ntx = rows_per_warp/tile_C::I; // Number of x minitiles per warp.

    y += (threadIdx.y % ntx) * (tile_C::J*MMQ_TILE_Y_K);

    const int   * x_qs = (const int   *) x;
    const half2 * x_dm = (const half2 *) x_qs + 2*MMQ_TILE_NE_K;
    const int   * y_qs = (const int   *) y + 4;
    const half2 * y_dm = (const half2 *) y;

    const int i0 = (threadIdx.y / ntx) * rows_per_warp;

    for (int k01 = 0; k01 < MMQ_TILE_NE_K; k01 += QI8_1) {
        const int k0 = k00 + k01;

        tile_A A[ntx];
#pragma unroll
        for (int n = 0; n < ntx; ++n) {
            load_generic(A[n], x_qs + (i0 + n*tile_A::I)*MMQ_MMA_TILE_X_K_Q8_1 + k0, MMQ_MMA_TILE_X_K_Q8_1);
        }

#pragma unroll
        for (int j0 = 0; j0 < mmq_x; j0 += ntx*tile_C::J) {
            tile_B B;
            load_generic(B, y_qs + j0*MMQ_TILE_Y_K + k01, MMQ_TILE_Y_K);

            const int j = j0 + tile_C::get_j(0);
            const float2 dsB = __half22float2(y_dm[j*MMQ_TILE_Y_K + k01/QI8_1]);

#pragma unroll
            for (int n = 0; n < ntx; ++n) {
                tile_C C;
                mma(C, A[n], B);

#pragma unroll
                for (int l = 0; l < tile_C::ne; ++l) {
                    const int i = i0 + n*tile_A::I + tile_C::get_i(l);
                    float2 dmA = __half22float2(x_dm[i*MMQ_MMA_TILE_X_K_Q8_1 + k0/QI8_1]);
                    sum[(j0/tile_C::J + n)*tile_C::ne + l] += dmA.x*dsB.x*C.x[l];
                    sum[(j0/tile_C::J + n)*tile_C::ne + l] += dmA.y*dsB.y;
                }
            }
        }
    }
#else
    typedef tile<16,  8, int> tile_A;
    typedef tile< 8,  8, int> tile_B;
    typedef tile<16,  8, int> tile_C;

    constexpr int granularity = mmq_get_granularity_device(mmq_x);
    constexpr int rows_per_warp = 2 * granularity;
    constexpr int ntx = rows_per_warp/tile_C::I; // Number of x minitiles per warp.

    y += (threadIdx.y % ntx) * (tile_C::J*MMQ_TILE_Y_K);

    const int   * x_qs = (const int   *) x;
    const half2 * x_dm = (const half2 *) x_qs + 2*MMQ_TILE_NE_K;
    const int   * y_qs = (const int   *) y + 4;
    const half2 * y_dm = (const half2 *) y;

    tile_A   A[ntx][MMQ_TILE_NE_K/QI8_1];
    float2 dmA[ntx][tile_C::ne/2][MMQ_TILE_NE_K/QI8_1];

    const int i0 = (threadIdx.y/ntx)*rows_per_warp;

#pragma unroll
    for (int n = 0; n < ntx; ++n) {
#pragma unroll
        for (int k01 = 0; k01 < MMQ_TILE_NE_K; k01 += QI8_1) {
            const int k0 = k00 + k01;

            load_ldmatrix(A[n][k01/QI8_1], x_qs + (i0 + n*tile_A::I)*MMQ_MMA_TILE_X_K_Q8_1 + k0, MMQ_MMA_TILE_X_K_Q8_1);
        }

#pragma unroll
        for (int l = 0; l < tile_C::ne/2; ++l) {
            const int i = i0 + n*tile_A::I + tile_C::get_i(2*l);

#pragma unroll
            for (int k01 = 0; k01 < MMQ_TILE_NE_K; k01 += QI8_1) {
                const int k0 = k00 + k01;

                dmA[n][l][k01/QI8_1] = __half22float2(x_dm[i*MMQ_MMA_TILE_X_K_Q8_1 + k0/QI8_1]);
            }
        }
    }

#pragma unroll
    for (int j0 = 0; j0 < mmq_x; j0 += ntx*tile_C::J) {
#pragma unroll
        for (int k01 = 0; k01 < MMQ_TILE_NE_K; k01 += QI8_1) {
            tile_B   B;
            float2 dsB[tile_C::ne/2];

            load_generic(B, y_qs + j0*MMQ_TILE_Y_K + k01, MMQ_TILE_Y_K); // faster than load_ldmatrix

#pragma unroll
            for (int l = 0; l < tile_C::ne/2; ++l) {
                const int j = j0 + tile_C::get_j(l);

                dsB[l] = __half22float2(y_dm[j*MMQ_TILE_Y_K + k01/QI8_1]);
            }

#pragma unroll
            for (int n = 0; n < ntx; ++n) {
                tile_C C;
                mma(C, A[n][k01/QI8_1], B);

#pragma unroll
                for (int l = 0; l < tile_C::ne; ++l) {
                    sum[(j0/tile_C::J + n)*tile_C::ne + l] += dmA[n][l/2][k01/QI8_1].x*dsB[l%2].x*C.x[l];
                    sum[(j0/tile_C::J + n)*tile_C::ne + l] += dmA[n][l/2][k01/QI8_1].y*dsB[l%2].y;
                }
            }
        }
    }
#endif // defined(AMD_MFMA_AVAILABLE)
}

// Used for Q3_K, IQ2_S, and IQ2_XS
template <int mmq_x, int mmq_y>
static __device__ __forceinline__ void vec_dot_q8_0_16_q8_1_dp4a(
    const int * __restrict__ x, const int * __restrict__ y, float * __restrict__ sum, const int k00) {
    constexpr int nwarps = mmq_get_nwarps_device();
    constexpr int warp_size = ggml_cuda_get_physical_warp_size();

    constexpr tile_x_sizes txs = MMQ_DP4A_TXS_Q8_0_16;
    const int   * x_qs = (const int   *) x;
    const float * x_df = (const float *) x_qs + txs.qs;
    const int   * y_qs = (const int   *) y + 4;
    const float * y_df = (const float *) y;

// #pragma unroll
    for (int k01 = 0; k01 < MMQ_TILE_NE_K; k01 += QI8_0) {
        const int k0 = k00 + k01;

#pragma unroll
        for (int j0 = 0; j0 < mmq_x; j0 += nwarps) {
            const int j = j0 + threadIdx.y;

#pragma unroll
            for (int i0 = 0; i0 < mmq_y; i0 += warp_size) {
                const int i = i0 + threadIdx.x;

                sum[j0/nwarps*mmq_y/warp_size + i0/warp_size] += vec_dot_q8_0_16_q8_1_impl<QI8_0>(
                    &x_qs[i*(2*MMQ_TILE_NE_K + 1) + k0],
                    &y_qs[j*MMQ_TILE_Y_K + k01],
                    &x_df[i*(2*MMQ_TILE_NE_K*2/QI8_0) + i/(QI8_0/4) + k0/(QI8_0/2)],
                    y_df[j*MMQ_TILE_Y_K + k01/QI8_1]);
            }
        }
    }
}

// Used for Q3_K, IQ2_S, and IQ2_XS:
template <int mmq_x, int mmq_y>
static __device__ __forceinline__ void vec_dot_q8_0_16_q8_1_mma(
    const int * __restrict__ x, const int * __restrict__ y, float * __restrict__ sum, const int k00) {
#if defined(AMD_MFMA_AVAILABLE)
    typedef tile<16,  8, int> tile_A;
    typedef tile<16,  8, int> tile_B;
    typedef tile<16, 16, int> tile_C;
    typedef tile<64,  2, int> tile_load;

    constexpr int granularity = mmq_get_granularity_device(mmq_x);
    constexpr int rows_per_warp = granularity;
    constexpr int ntx = rows_per_warp/tile_C::I; // Number of x minitiles per warp.

    y += (threadIdx.y % ntx) * (tile_C::J*MMQ_TILE_Y_K);

    const int   * x_qs = (const int   *) x;
    const float * x_df = (const float *) x_qs + MMQ_TILE_NE_K*2;
    const int   * y_qs = (const int   *) y + 4;
    const float * y_df = (const float *) y;

    const int i0 = (threadIdx.y / ntx) * rows_per_warp;

    for (int k01 = 0; k01 < MMQ_TILE_NE_K; k01 += 4) {
        const int k0 = k00 + k01;

        tile_A A[ntx];
#pragma unroll
        for (int n = 0; n < ntx; ++n) {
            load_generic(((tile_load *) A)[n], x_qs + (i0 + n*tile_A::I)*MMQ_MMA_TILE_X_K_Q3_K + k0, MMQ_MMA_TILE_X_K_Q3_K);
        }

#pragma unroll
        for (int j0 = 0; j0 < mmq_x; j0 += ntx*tile_C::J) {
            tile_B B[1];
            load_generic(((tile_load *) B)[0], y_qs + j0*MMQ_TILE_Y_K + k01, MMQ_TILE_Y_K);

            const int j = j0 + tile_C::get_j(0);
            const float dB = y_df[j*MMQ_TILE_Y_K + k01/QI8_1] / 2;

#pragma unroll
            for (int n = 0; n < ntx; ++n) {
                tile_C C;
                mma(C, A[n], B[0]);

#pragma unroll
                for (int l = 0; l < tile_C::ne; ++l) {
                    const int i = i0 + n*tile_C::I + tile_C::get_i(l);
                    sum[(j0/tile_C::J + n)*tile_C::ne + l] += C.x[l] * x_df[i*MMQ_MMA_TILE_X_K_Q3_K + k0/4] * dB;
                }
            }
        }
    }
#elif defined(TURING_MMA_AVAILABLE)

    typedef tile<16, 4, int> tile_A;
    typedef tile<16, 8, int> tile_A_8;
    typedef tile< 8, 4, int> tile_B;
    typedef tile<16, 8, int> tile_C;

    constexpr int granularity = mmq_get_granularity_device(mmq_x);
    constexpr int rows_per_warp = 2 * granularity;
    constexpr int ntx = rows_per_warp/tile_C::I; // Number of x minitiles per warp.

    y += (threadIdx.y % ntx) * (tile_C::J*MMQ_TILE_Y_K);

    const int   * x_qs = (const int   *) x;
    const float * x_df = (const float *) x_qs + MMQ_TILE_NE_K*2;
    const int   * y_qs = (const int   *) y + 4;
    const float * y_df = (const float *) y;

    const int i0 = (threadIdx.y / ntx) * (ntx*tile_A::I);

    tile_A  A[ntx][8];
    float  dA[ntx][tile_C::ne/2][8];

#pragma unroll
    for (int n = 0; n < ntx; ++n) {
#pragma unroll
        for (int k01 = 0; k01 < MMQ_TILE_NE_K; k01 += 8) {
            const int k0 = k00 + k01;

            load_ldmatrix(((tile_A_8 *) A[n])[k01/8], x_qs + (i0 + n*tile_A::I)*MMQ_MMA_TILE_X_K_Q3_K + k0, MMQ_MMA_TILE_X_K_Q3_K);
        }

#pragma unroll
        for (int l = 0; l < tile_C::ne/2; ++l) {
            const int i = i0 + n*tile_C::I + tile_C::get_i(2*l);

#pragma unroll
            for (int k01 = 0; k01 < MMQ_TILE_NE_K; k01 += 4) {
                const int k0 = k00 + k01;

                dA[n][l][k01/4] = x_df[i*MMQ_MMA_TILE_X_K_Q3_K + k0/4];
            }
        }
    }

#pragma unroll
    for (int j0 = 0; j0 < mmq_x; j0 += ntx*tile_C::J) {
#pragma unroll
        for (int k01 = 0; k01 < MMQ_TILE_NE_K; k01 += QR3_K*VDR_Q3_K_Q8_1_MMQ) {
            tile_B B[2];
            float dB[tile_C::ne/2];

            // Here load_generic is faster than load_ldmatrix.
            load_generic(B[0], y_qs + j0*MMQ_TILE_Y_K + (k01 + 0),         MMQ_TILE_Y_K);
            load_generic(B[1], y_qs + j0*MMQ_TILE_Y_K + (k01 + tile_B::J), MMQ_TILE_Y_K);

#pragma unroll
            for (int l = 0; l < tile_C::ne/2; ++l) {
                const int j = j0 + tile_C::get_j(l);

                dB[l] = y_df[j*MMQ_TILE_Y_K + k01/QI8_1];
            }

#pragma unroll
            for (int n = 0; n < ntx; ++n) {
                tile_C C[2];
                mma(C[0], A[n][k01/4 + 0], B[0]);
                mma(C[1], A[n][k01/4 + 1], B[1]);

#pragma unroll
                for (int l = 0; l < tile_C::ne; ++l) {
                    sum[(j0/tile_C::J + n)*tile_C::ne + l] += dB[l%2]*(C[0].x[l]*dA[n][l/2][k01/4 + 0] + C[1].x[l]*dA[n][l/2][k01/4 + 1]);
                }
            }
        }
    }
#else
    GGML_UNUSED_VARS(x, y, sum, k00);
    NO_DEVICE_CODE;
#endif // AMD_MFMA_AVAILABLE
}

template <int mmq_y, bool need_check> static __device__ __forceinline__ void load_tiles_q2_K(
    const char * __restrict__ x, int * __restrict__ x_tile, const int kbx0, const int i_max, const int stride) {
    constexpr int nwarps = mmq_get_nwarps_device();

#if defined(AMD_MFMA_AVAILABLE) || defined(TURING_MMA_AVAILABLE)
    int   * x_qs = (int   *)  x_tile;
    half2 * x_dm = (half2 *) (x_qs + 2*MMQ_TILE_NE_K);
#else
    constexpr tile_x_sizes txs = mmq_get_dp4a_tile_x_sizes(GGML_TYPE_Q2_K, mmq_y);
    int   * x_qs = (int   *)  x_tile;
    half2 * x_dm = (half2 *) (x_qs + txs.qs);
#endif // defined(AMD_MFMA_AVAILABLE) || defined(TURING_MMA_AVAILABLE)

    constexpr int threads_per_row = MMQ_ITER_K / (4 * QR2_K);
    constexpr int nrows = ggml_cuda_get_physical_warp_size() / threads_per_row;
    const int kqsx = threadIdx.x % threads_per_row;

#pragma unroll
    for (int i0 = 0; i0 < mmq_y; i0 += nrows*nwarps) {
        int i = i0 + threadIdx.y*nrows + threadIdx.x/threads_per_row;

        if (need_check) {
            i = min(i, i_max);
        }

        const block_q2_K * bxi = (const block_q2_K *) x + kbx0 + i*stride;

        const int x_ql_0 = get_int_b2(bxi->qs, kqsx);

#pragma unroll
        for (int l = 0; l < QR2_K; ++l) {
            const int k = (kqsx/8)*32 + l*8 + kqsx % 8;

            const int x_qs_k = (x_ql_0 >> (2*l)) & 0x03030303;

#if defined(AMD_MFMA_AVAILABLE) || defined(TURING_MMA_AVAILABLE)
            x_qs[i*MMQ_MMA_TILE_X_K_Q2_K + k] = x_qs_k;
#else
            x_qs[i*(2*MMQ_TILE_NE_K + 1) + k] = x_qs_k;
#endif // defined(AMD_MFMA_AVAILABLE) || defined(TURING_MMA_AVAILABLE)
        }

        const int sc_m = bxi->scales[kqsx];
#ifdef FAST_FP16_AVAILABLE
        const half2 x_dm_ik = __hmul2(bxi->dm, make_half2(sc_m & 0x0F, sc_m >> 4));
#else
        const float2 bxi_dmf = __half22float2(bxi->dm);
        const half2 x_dm_ik = make_half2(bxi_dmf.x*(sc_m & 0x0F), bxi_dmf.y*(sc_m >> 4));
#endif // FAST_FP16_AVAILABLE

#if defined(AMD_MFMA_AVAILABLE) || defined(TURING_MMA_AVAILABLE)
        x_dm[i*MMQ_MMA_TILE_X_K_Q2_K + kqsx] = x_dm_ik;
#else
        x_dm[i*(MMQ_TILE_NE_K + 1)   + kqsx] = x_dm_ik;
#endif // defined(AMD_MFMA_AVAILABLE) || defined(TURING_MMA_AVAILABLE)
    }
}

template <int mmq_x, int mmq_y>
static __device__ __forceinline__ void vec_dot_q2_K_q8_1_dp4a(
    const int * __restrict__ x, const int * __restrict__ y, float * __restrict__ sum, const int k00) {
    constexpr int nwarps = mmq_get_nwarps_device();
    constexpr int warp_size = ggml_cuda_get_physical_warp_size();

    constexpr tile_x_sizes txs = mmq_get_dp4a_tile_x_sizes(GGML_TYPE_Q2_K, mmq_y);
    const int   * x_qs = (const int   *) x;
    const half2 * x_dm = (const half2 *) x_qs + txs.qs;
    const int   * y_qs = (const int   *) y + 4;
    const half2 * y_ds = (const half2 *) y;

    float2 y_df[mmq_x/nwarps];
#pragma unroll
    for (int j0 = 0; j0 < mmq_x; j0 += nwarps) {
        const int j = j0 + threadIdx.y;

        y_df[j0/nwarps] = __half22float2(y_ds[j*MMQ_TILE_Y_K]);
    }

#pragma unroll
    for (int k01 = 0; k01 < MMQ_TILE_NE_K/2; k01 += QR2_K*VDR_Q2_K_Q8_1_MMQ) {
        const int k0 = k00 + k01;

#pragma unroll
        for (int j0 = 0; j0 < mmq_x; j0 += nwarps) {
            const int j = j0 + threadIdx.y;

#pragma unroll
            for (int i0 = 0; i0 < mmq_y; i0 += warp_size) {
                const int i = i0 + threadIdx.x;

                constexpr int ns = 2;
                sum[j0/nwarps*mmq_y/warp_size + i0/warp_size] += vec_dot_q2_K_q8_1_impl_mmq<ns>(
                    &x_qs[i*(2*MMQ_TILE_NE_K + 1) + k0], &y_qs[j*MMQ_TILE_Y_K + k01],
                    &x_dm[i*(MMQ_TILE_NE_K + 1) + k0/4], k01 < MMQ_TILE_NE_K/2 ? y_df[j0/nwarps].x : y_df[j0/nwarps].y,
                    &y_ds[j*MMQ_TILE_Y_K + (1 + k01/QI8_1)]);
            }
        }
    }

    // Some compilers fail to unroll the loop over k01 if there is a conditional statement for ns in the inner loop.
    // As a workaround 2 separate loops are used instead.
#pragma unroll
    for (int k01 = MMQ_TILE_NE_K/2; k01 < MMQ_TILE_NE_K; k01 += QR2_K*VDR_Q2_K_Q8_1_MMQ) {
        const int k0 = k00 + k01;

#pragma unroll
        for (int j0 = 0; j0 < mmq_x; j0 += nwarps) {
            const int j = j0 + threadIdx.y;

#pragma unroll
            for (int i0 = 0; i0 < mmq_y; i0 += warp_size) {
                const int i = i0 + threadIdx.x;

                constexpr int ns = 1;
                sum[j0/nwarps*mmq_y/warp_size + i0/warp_size] += vec_dot_q2_K_q8_1_impl_mmq<ns>(
                    &x_qs[i*(2*MMQ_TILE_NE_K + 1) + k0], &y_qs[j*MMQ_TILE_Y_K + k01],
                    &x_dm[i*(MMQ_TILE_NE_K + 1) + k0/4], k01 < MMQ_TILE_NE_K/2 ? y_df[j0/nwarps].x : y_df[j0/nwarps].y,
                    &y_ds[j*MMQ_TILE_Y_K + (1 + k01/QI8_1)]);
            }
        }
    }
}

template <int mmq_x, int mmq_y>
static __device__ __forceinline__ void vec_dot_q2_K_q8_1_mma(
    const int * __restrict__ x, const int * __restrict__ y, float * __restrict__ sum, const int k00) {
#if defined(AMD_MFMA_AVAILABLE)
    typedef tile<16,  8, int> tile_A;
    typedef tile<16,  8, int> tile_B;
    typedef tile<16, 16, int> tile_C;
    typedef tile<64,  2, int> tile_load;

    constexpr int granularity = mmq_get_granularity_device(mmq_x);
    constexpr int rows_per_warp = granularity;
    constexpr int ntx = rows_per_warp/tile_C::I; // Number of x minitiles per warp.

    y += (threadIdx.y % ntx) * (tile_C::J*MMQ_TILE_Y_K);

    const int   * x_qs = (const int   *) x;
    const half2 * x_dm = (const half2 *) x_qs + MMQ_TILE_NE_K*2;
    const int   * y_qs = (const int   *) y + 4;
    const half2 * y_ds = (const half2 *) y;

    const int i0 = (threadIdx.y / ntx) * rows_per_warp;

    for (int k01 = 0; k01 < MMQ_TILE_NE_K; k01 += 4) {
        const int k0 = k00 + k01;

        tile_A A[ntx];
#pragma unroll
        for (int n = 0; n < ntx; ++n) {
            load_generic(((tile_load *) A)[n], x_qs + (i0 + n*tile_A::I)*MMQ_MMA_TILE_X_K_Q2_K + k0, MMQ_MMA_TILE_X_K_Q2_K);
        }

#pragma unroll
        for (int j0 = 0; j0 < mmq_x; j0 += ntx*tile_C::J) {
            tile_B B[1];
            load_generic(((tile_load *) B)[0], y_qs + j0*MMQ_TILE_Y_K + k01, MMQ_TILE_Y_K);

            const int j = j0 + tile_C::get_j(0);
            const float dB = (k01 < MMQ_TILE_NE_K/2) ? __half22float2(y_ds[j*MMQ_TILE_Y_K]).x/2 : __half22float2(y_ds[j*MMQ_TILE_Y_K]).y/2;
            const float sB = (k01 >= MMQ_TILE_NE_K * 3/4) ? 0
                                              : (((k01/4)%2) ? __half22float2(y_ds[j*MMQ_TILE_Y_K + (1 + k01/QI8_1)]).y
                                                             : __half22float2(y_ds[j*MMQ_TILE_Y_K + (1 + k01/QI8_1)]).x);

            tile_C Cm;
            if (k01 >= MMQ_TILE_NE_K * 3/4) {
                tile_A A1;
                A1.x[0] = 0x01010101;
                A1.x[1] = 0x01010101;
                mma(Cm, A1, B[0]);
            }

#pragma unroll
            for (int n = 0; n < ntx; ++n) {
                tile_C Cd;
                mma(Cd, A[n], B[0]);

#pragma unroll
                for (int l = 0; l < tile_C::ne; ++l) {
                    const int i = i0 + n*tile_C::I + tile_C::get_i(l);
                    const float2 dm = __half22float2(x_dm[i*MMQ_MMA_TILE_X_K_Q2_K + k0/4]);
                    float tmp = Cd.x[l]*dm.x;
                    if (k01 >= MMQ_TILE_NE_K * 3/4) {
                        tmp -= Cm.x[l]*dm.y;
                    }
                    sum[(j0/tile_C::J + n)*tile_C::ne + l] += tmp*dB;
                    sum[(j0/tile_C::J + n)*tile_C::ne + l] -= dm.y*sB;
                }
            }
        }
    }
#elif defined(TURING_MMA_AVAILABLE)

    typedef tile<16, 4, int> tile_A;
    typedef tile<16, 8, int> tile_A_8;
    typedef tile< 8, 4, int> tile_B;
    typedef tile<16, 8, int> tile_C;

    constexpr int granularity = mmq_get_granularity_device(mmq_x);
    constexpr int rows_per_warp = 2 * granularity;
    constexpr int ntx = rows_per_warp/tile_C::I; // Number of x minitiles per warp.

    y += (threadIdx.y % ntx) * (tile_C::J*MMQ_TILE_Y_K);

    const int   * x_qs = (const int   *) x;
    const half2 * x_dm = (const half2 *) x_qs + MMQ_TILE_NE_K*2;
    const int   * y_qs = (const int   *) y + 4;
    const half2 * y_ds = (const half2 *) y;

    const int i0 = (threadIdx.y / ntx) * (ntx*tile_A::I);

    tile_A  A[ntx][8];
    float  dA[ntx][tile_C::ne/2][8];
    float  mA[ntx][tile_C::ne/2][8];

#pragma unroll
    for (int n = 0; n < ntx; ++n) {
#pragma unroll
        for (int k01 = 0; k01 < MMQ_TILE_NE_K; k01 += QI8_1) {
            const int k0 = k00 + k01;

            load_ldmatrix(((tile_A_8 *) A[n])[k01/QI8_1], x_qs + (i0 + n*tile_A::I)*MMQ_MMA_TILE_X_K_Q2_K + k0, MMQ_MMA_TILE_X_K_Q2_K);
        }
    }

#pragma unroll
    for (int n = 0; n < ntx; ++n) {
#pragma unroll
        for (int l = 0; l < tile_C::ne/2; ++l) {
            const int i = i0 + n*tile_C::I + tile_C::get_i(2*l);

#pragma unroll
            for (int k01 = 0; k01 < MMQ_TILE_NE_K; k01 += QI8_1/2) {
                const int k0 = k00 + k01;

                const float2 dm = __half22float2(x_dm[i*MMQ_MMA_TILE_X_K_Q2_K + k0/(QI8_1/2)]);

                dA[n][l][k01/(QI8_1/2)] = dm.x;
                mA[n][l][k01/(QI8_1/2)] = dm.y;
            }
        }
    }

#pragma unroll
    for (int j0 = 0; j0 < mmq_x; j0 += ntx*tile_C::J) {
        float2 dB[tile_C::ne/2];

#pragma unroll
        for (int l = 0; l < tile_C::ne/2; ++l) {
            const int j = j0 + tile_C::get_j(l);

            dB[l] = __half22float2(y_ds[j*MMQ_TILE_Y_K]);
        }

#pragma unroll
        for (int k01 = 0; k01 < MMQ_TILE_NE_K; k01 += QI8_1) {
            tile_B B[2];

            // Here load_generic is faster than load_ldmatrix.
            load_generic(B[0], y_qs + j0*MMQ_TILE_Y_K + (k01 + 0),         MMQ_TILE_Y_K);
            load_generic(B[1], y_qs + j0*MMQ_TILE_Y_K + (k01 + tile_B::J), MMQ_TILE_Y_K);

            tile_C Cm[2];
            if (k01 >= MMQ_TILE_NE_K * 3/4) {
                tile_A A1;
                A1.x[0] = 0x01010101;
                A1.x[1] = 0x01010101;
                mma(Cm[0], A1, B[0]);
                mma(Cm[1], A1, B[1]);
            }

#pragma unroll
            for (int n = 0; n < ntx; ++n) {
                tile_C Cd[2];

                mma(Cd[0], A[n][k01/4 + 0], B[0]);
                mma(Cd[1], A[n][k01/4 + 1], B[1]);

#pragma unroll
                for (int l = 0; l < tile_C::ne; ++l) {
                    float tmp = Cd[0].x[l]*dA[n][l/2][k01/4 + 0] + Cd[1].x[l]*dA[n][l/2][k01/4 + 1];
                    if (k01 >= MMQ_TILE_NE_K * 3/4) {
                        tmp -= Cm[0].x[l]*mA[n][l/2][k01/4 + 0] + Cm[1].x[l]*mA[n][l/2][k01/4 + 1];
                    }
                    sum[(j0/tile_C::J + n)*tile_C::ne + l] += tmp*(k01 < MMQ_TILE_NE_K/2 ? dB[l%2].x : dB[l%2].y);
                }
            }
        }

#pragma unroll
        for (int k01 = 0; k01 < MMQ_TILE_NE_K * 3/4; k01 += QI8_1) {
            float2 sB[tile_C::ne/2];

#pragma unroll
            for (int l = 0; l < tile_C::ne/2; ++l) {
                const int j = j0 + tile_C::get_j(l);

                sB[l] = __half22float2(y_ds[j*MMQ_TILE_Y_K + (1 + k01/QI8_1)]);
            }

#pragma unroll
            for (int n = 0; n < ntx; ++n) {
#pragma unroll
                for (int l = 0; l < tile_C::ne; ++l) {
                    sum[(j0/tile_C::J + n)*tile_C::ne + l] -= mA[n][l/2][k01/4 + 0]*sB[l%2].x;
                    sum[(j0/tile_C::J + n)*tile_C::ne + l] -= mA[n][l/2][k01/4 + 1]*sB[l%2].y;
                }
            }
        }
    }
#else
    GGML_UNUSED_VARS(x, y, sum, k00);
    NO_DEVICE_CODE;
#endif // AMD_MFMA_AVAILABLE
}

template <int mmq_y, bool need_check> static __device__ __forceinline__ void load_tiles_q3_K(
    const char * __restrict__ x, int * __restrict__ x_tile, const int kbx0, const int i_max, const int stride) {
    constexpr int nwarps = mmq_get_nwarps_device();
    constexpr int warp_size = ggml_cuda_get_physical_warp_size();

#if defined(AMD_MFMA_AVAILABLE) || defined(TURING_MMA_AVAILABLE)
    int   * x_qs = (int   *)  x_tile;
    float * x_df = (float *) (x_qs + MMQ_TILE_NE_K*2);
#else
    constexpr tile_x_sizes txs = mmq_get_dp4a_tile_x_sizes(GGML_TYPE_Q3_K, mmq_y);
    int   * x_qs = (int   *)  x_tile;
    float * x_df = (float *) (x_qs + txs.qs);
    int   * x_sc = (int   *) (x_df + txs.dm);
#endif // defined(AMD_MFMA_AVAILABLE) || defined(TURING_MMA_AVAILABLE)

    constexpr int threads_per_row = MMQ_ITER_K / (4 * QR3_K);
    constexpr int nrows = warp_size / threads_per_row;
    const int kqsx = threadIdx.x % threads_per_row;

#pragma unroll
    for (int i0 = 0; i0 < mmq_y; i0 += nrows*nwarps) {
        int i = i0 + threadIdx.y*nrows + threadIdx.x/threads_per_row;

        if (need_check) {
            i = min(i, i_max);
        }

        const block_q3_K * bxi = (const block_q3_K *) x + kbx0 + i*stride;

        const int x_ql_0 = get_int_b2(bxi->qs,    kqsx);
        const int x_qh_0 = get_int_b2(bxi->hmask, kqsx % (QI3_K/2)) >> (4 * (kqsx / (QI3_K/2)));

#pragma unroll
        for (int l = 0; l < QR3_K; ++l) {
            const int k = (kqsx/8)*32 + l*8 + kqsx % 8;

            const int x_ql_k =  (x_ql_0 >> (2*l))       & 0x03030303;
            const int x_qh_k = ((x_qh_0 >>    l)  << 2) & 0x04040404;

            const int x_qs_k = __vsubss4(x_ql_k | x_qh_k, 0x04040404);

#if defined(AMD_MFMA_AVAILABLE) || defined(TURING_MMA_AVAILABLE)
            x_qs[i*MMQ_MMA_TILE_X_K_Q3_K + k] = x_qs_k;
#else
            x_qs[i*(2*MMQ_TILE_NE_K + 1) + k] = x_qs_k;
#endif // defined(AMD_MFMA_AVAILABLE) || defined(TURING_MMA_AVAILABLE)
        }
    }

    constexpr int rows_per_warp = warp_size / 4;
#pragma unroll
    for (int i0 = 0; i0 < mmq_y; i0 += nwarps*rows_per_warp) {
        int i = i0 + threadIdx.y*rows_per_warp + threadIdx.x/4;

        if (need_check) {
            i = min(i, i_max);
        }

        const block_q3_K * bxi = (const block_q3_K *) x + kbx0 + i*stride;

        const int ksc = threadIdx.x % 4;

        const int ksc_low = ksc % (QI3_K/8);
        const int shift_low = 4 * (ksc / (QI3_K/8));
        const int sc_low = (get_int_b2(bxi->scales, ksc_low) >> shift_low) & 0x0F0F0F0F;

        const int ksc_high = QI3_K/8;
        const int shift_high = 2 * ksc;
        const int sc_high = ((get_int_b2(bxi->scales, ksc_high) >> shift_high) << 4) & 0x30303030;

        const int sc = __vsubss4(sc_low | sc_high, 0x20202020);

#if defined(AMD_MFMA_AVAILABLE) || defined(TURING_MMA_AVAILABLE)
        const int8_t * sc8 = (const int8_t *) &sc;
        const float d = bxi->d;

#pragma unroll
        for (int l = 0; l < int(sizeof(int)); ++l) {
            x_df[i*MMQ_MMA_TILE_X_K_Q3_K + sizeof(int)*ksc + l] = d*sc8[l];
        }
#else
        x_sc[i*(MMQ_TILE_NE_K/8) + i/8 + ksc] = sc;
#endif // defined(AMD_MFMA_AVAILABLE) || defined(TURING_MMA_AVAILABLE)
    }

#if !(defined(AMD_MFMA_AVAILABLE) || defined(TURING_MMA_AVAILABLE))
#pragma unroll
    for (int i0 = 0; i0 < mmq_y; i0 += nwarps*warp_size) {
        int i = (i0 + threadIdx.y*warp_size + threadIdx.x) % mmq_y;

        if (need_check) {
            i = min(i, i_max);
        }

        const block_q3_K * bxi = (const block_q3_K *) x + kbx0 + i*stride;

        x_df[i] = bxi->d;
    }
#endif // !(defined(AMD_MFMA_AVAILABLE) || defined(TURING_MMA_AVAILABLE))
}

template <int mmq_x, int mmq_y>
static __device__ __forceinline__ void vec_dot_q3_K_q8_1_dp4a(
    const int * __restrict__ x, const int * __restrict__ y, float * __restrict__ sum, const int k00) {
    constexpr int nwarps = mmq_get_nwarps_device();
    constexpr int warp_size = ggml_cuda_get_physical_warp_size();

    constexpr tile_x_sizes txs = mmq_get_dp4a_tile_x_sizes(GGML_TYPE_Q3_K, mmq_y);
    const int   * x_qs = (const int   *) x;
    const float * x_df = (const float *) x_qs + txs.qs;
    const int   * x_sc = (const int   *) x_df + txs.dm;
    const int   * y_qs = (const int   *) y + 4;
    const float * y_df = (const float *) y;

// #pragma unroll
    for (int k01 = 0; k01 < MMQ_TILE_NE_K; k01 += QR3_K*VDR_Q3_K_Q8_1_MMQ) {
        const int k0 = k00 + k01;

#pragma unroll
        for (int j0 = 0; j0 < mmq_x; j0 += nwarps) {
            const int j = j0 + threadIdx.y;

#pragma unroll
            for (int i0 = 0; i0 < mmq_y; i0 += warp_size) {
                const int i = i0 + threadIdx.x;

                const int8_t * scales = ((const int8_t *) (x_sc + i*(MMQ_TILE_NE_K/8) + i/8)) + k0/4;

                sum[j0/nwarps*mmq_y/warp_size + i0/warp_size] += vec_dot_q3_K_q8_1_impl_mmq(
                    &x_qs[i*(2*MMQ_TILE_NE_K + 1) + k0], &y_qs[j*MMQ_TILE_Y_K + k01], scales,
                    x_df[i], y_df[j*MMQ_TILE_Y_K + k01/QI8_1]);
            }
        }
    }
}

static __device__ __forceinline__ int unpack_scales_q45_K(const int * scales, const int ksc) {
    // scale arrangement after the following two lines:
    //   - ksc == 0: sc0, sc1, sc2, sc3
    //   - ksc == 1: sc4, sc5, sc6, sc7
    //   - ksc == 2:  m0,  m1,  m2,  m3
    //   - ksc == 3:  m4,  m5,  m6,  m7
    return ((scales[(ksc%2) + (ksc!=0)] >> (4 * (ksc & (ksc/2)))) & 0x0F0F0F0F) | // lower 4 bits
           ((scales[ksc/2]              >> (2 * (ksc % 2)))       & 0x30303030);  // upper 2 bits
}

template <int mmq_y, bool need_check> static __device__ __forceinline__ void load_tiles_q4_K(
    const char * __restrict__ x, int * __restrict__ x_tile, const int kbx0, const int i_max, const int stride) {
    constexpr int nwarps = mmq_get_nwarps_device();
    constexpr int warp_size = ggml_cuda_get_physical_warp_size();

#if defined(AMD_MFMA_AVAILABLE) || defined(TURING_MMA_AVAILABLE)
    int   * x_qs = (int   *)  x_tile;
    half2 * x_dm = (half2 *) (x_qs + 2*MMQ_TILE_NE_K);
#else
    constexpr tile_x_sizes txs = mmq_get_dp4a_tile_x_sizes(GGML_TYPE_Q4_K, mmq_y);
    int   * x_qs = (int   *)  x_tile;
    half2 * x_dm = (half2 *) (x_qs + txs.qs);
    int   * x_sc = (int   *) (x_dm + txs.dm);
#endif // defined(AMD_MFMA_AVAILABLE) || defined(TURING_MMA_AVAILABLE)

    constexpr int threads_per_row = MMQ_ITER_K / (4 * QR4_K);
    constexpr int nrows = warp_size / threads_per_row;
    const int txi = warp_size > threads_per_row ? threadIdx.x % threads_per_row : threadIdx.x;

#pragma unroll
    for (int i0 = 0; i0 < mmq_y; i0 += nrows*nwarps) {
        int i = i0 + (nrows == 1 ? threadIdx.y : threadIdx.y*nrows + threadIdx.x/threads_per_row);

        if (need_check) {
            i = min(i, i_max);
        }

        const block_q4_K * bxi = (const block_q4_K *) x + kbx0 + i*stride;
        const int qs0 = get_int_b4(bxi->qs, txi);

#if defined(AMD_MFMA_AVAILABLE) || defined(TURING_MMA_AVAILABLE)
        x_qs[i*MMQ_MMA_TILE_X_K_Q8_1 + 16*(txi/8) + txi % 8 + 0] = (qs0 >> 0) & 0x0F0F0F0F;
        x_qs[i*MMQ_MMA_TILE_X_K_Q8_1 + 16*(txi/8) + txi % 8 + 8] = (qs0 >> 4) & 0x0F0F0F0F;
#else
        x_qs[i*(MMQ_TILE_NE_K + 1) + txi] = qs0;
#endif // defined(AMD_MFMA_AVAILABLE) || defined(TURING_MMA_AVAILABLE)
    }

#if defined(AMD_MFMA_AVAILABLE) || defined(TURING_MMA_AVAILABLE)
    constexpr int rows_per_warp = warp_size / 2;
#pragma unroll
    for (int i0 = 0; i0 < mmq_y; i0 += nwarps*rows_per_warp) {
#if defined(AMD_MFMA_AVAILABLE)
        // Need if on AMD instead of % because warp_size == 64
        // This causes double work and throughput loss (MI300X)
        // H100 loses about 100 t/s with 'if' condition over '%'
        int i = i0 + threadIdx.y*rows_per_warp + threadIdx.x/2;
        if (i < mmq_y) {
#else
        int i = (i0 + threadIdx.y*rows_per_warp + threadIdx.x/2) % mmq_y;
        {
#endif // defined(AMD_MFMA_AVAILABLE)
            if (need_check) {
                i = min(i, i_max);
            }

            const block_q4_K * bxi = (const block_q4_K *) x + kbx0 + i*stride;

            const int * scales = (const int *) bxi->scales;
            const int ksc = threadIdx.x % 2;

            const int sc32 = unpack_scales_q45_K(scales, ksc + 0);
            const int  m32 = unpack_scales_q45_K(scales, ksc + 2);

            const uint8_t * sc8 = (const uint8_t *) &sc32;
            const uint8_t *  m8 = (const uint8_t *)  &m32;

            const half2 dm = bxi->dm * make_half2(1.0f, -1.0f);

    #pragma unroll
            for (int l = 0; l < sizeof(int); ++l) {
                x_dm[i*MMQ_MMA_TILE_X_K_Q8_1 + sizeof(int)*ksc + l] = dm*make_half2(sc8[l], m8[l]);
            }
        }
    }
#else
#pragma unroll
    for (int i0 = 0; i0 < mmq_y; i0 += nwarps*warp_size) {
        int i = (i0 + threadIdx.y*warp_size + threadIdx.x) % mmq_y;

        if (need_check) {
            i = min(i, i_max);
        }

        const block_q4_K * bxi = (const block_q4_K *) x + kbx0 + i*stride;

        x_dm[i] = bxi->dm;
    }
    constexpr int rows_per_warp = warp_size / 4;
#pragma unroll
    for (int i0 = 0; i0 < mmq_y; i0 += nwarps*rows_per_warp) {
        int i = (i0 + threadIdx.y*rows_per_warp + threadIdx.x/(MMQ_TILE_NE_K/8)) % mmq_y;

        if (need_check) {
            i = min(i, i_max);
        }

        const block_q4_K * bxi = (const block_q4_K *) x + kbx0 + i*stride + (threadIdx.x % (MMQ_TILE_NE_K/8)) / (QI4_K/8);

        const int * scales = (const int *) bxi->scales;

        const int ksc = threadIdx.x % (MMQ_TILE_NE_K/8);
        const int scales8 = unpack_scales_q45_K(scales, ksc);

        x_sc[i*(MMQ_TILE_NE_K/8) + i/8 + ksc] = scales8;
    }
#endif // defined(AMD_MFMA_AVAILABLE) || defined(TURING_MMA_AVAILABLE)
}

template <int mmq_x, int mmq_y>
static __device__ __forceinline__ void vec_dot_q4_K_q8_1_dp4a(
    const int * __restrict__ x, const int * __restrict__ y, float * __restrict__ sum, const int k00) {
    constexpr int nwarps = mmq_get_nwarps_device();
    constexpr int warp_size = ggml_cuda_get_physical_warp_size();

    constexpr tile_x_sizes txs = mmq_get_dp4a_tile_x_sizes(GGML_TYPE_Q4_K, mmq_y);
    const int   * x_qs = (const int   *) x;
    const half2 * x_dm = (const half2 *) x_qs + txs.qs;
    const int   * x_sc = (const int   *) x_dm + txs.dm;
    const int   * y_qs = (const int   *) y + 4;
    const half2 * y_ds = (const half2 *) y;

// #pragma unroll
    for (int k01 = 0; k01 < MMQ_TILE_NE_K; k01 += QR4_K*VDR_Q4_K_Q8_1_MMQ) {
        const int k0 = k00 + k01;

#pragma unroll
        for (int j0 = 0; j0 < mmq_x; j0 += nwarps) {
            const int j = j0 + threadIdx.y;

#pragma unroll
            for (int i0 = 0; i0 < mmq_y; i0 += warp_size) {
                const int i = i0 + threadIdx.x;

                const uint8_t * sc = (const uint8_t *) &x_sc[i * (MMQ_TILE_NE_K/8) + i/8 + k0/32] + 2*(k01/16);

                sum[j0/nwarps*mmq_y/warp_size + i0/warp_size] += vec_dot_q4_K_q8_1_impl_mmq(
                    &x_qs[i*(MMQ_TILE_NE_K + 1) + k0/2], &y_qs[j*MMQ_TILE_Y_K + k01], sc, sc+8,
                    x_dm[i], &y_ds[j*MMQ_TILE_Y_K + k01/QI8_1]);
            }
        }
    }
}

template <int mmq_y, bool need_check> static __device__ __forceinline__ void load_tiles_q5_K(
    const char * __restrict__ x, int * __restrict__ x_tile, const int kbx0, const int i_max, const int stride) {
    constexpr int nwarps = mmq_get_nwarps_device();
    constexpr int warp_size = ggml_cuda_get_physical_warp_size();

#if defined(AMD_MFMA_AVAILABLE) || defined(TURING_MMA_AVAILABLE)
    int   * x_qs = (int   *)  x_tile;
    half2 * x_dm = (half2 *) (x_qs + MMQ_TILE_NE_K*2);
#else
    constexpr tile_x_sizes txs = mmq_get_dp4a_tile_x_sizes(GGML_TYPE_Q5_K, mmq_y);
    int   * x_qs = (int   *)  x_tile;
    half2 * x_dm = (half2 *) (x_qs + txs.qs);
    int   * x_sc = (int   *) (x_dm + txs.dm);
#endif // defined(AMD_MFMA_AVAILABLE) || defined(TURING_MMA_AVAILABLE)

    constexpr int threads_per_row = MMQ_ITER_K / (4 * QR5_K);
    constexpr int nrows = warp_size / threads_per_row;
    const int txi = warp_size > threads_per_row ? threadIdx.x % threads_per_row : threadIdx.x;

#pragma unroll
    for (int i0 = 0; i0 < mmq_y; i0 += nrows*nwarps) {
        int i = i0 + (nrows == 1 ? threadIdx.y : threadIdx.y*nrows + threadIdx.x/threads_per_row);

        if (need_check) {
            i = min(i, i_max);
        }

        const block_q5_K * bxi = (const block_q5_K *) x + kbx0 + i*stride;
        const int ky = QR5_K*txi;

        const int ql = get_int_b4(bxi->qs, txi);
        const int ql0 = (ql >> 0) & 0x0F0F0F0F;
        const int ql1 = (ql >> 4) & 0x0F0F0F0F;

        const int qh = get_int_b4(bxi->qh, txi % (QI5_K/4));
        const int qh0 = ((qh >> (2 * (txi / (QI5_K/4)) + 0)) << 4) & 0x10101010;
        const int qh1 = ((qh >> (2 * (txi / (QI5_K/4)) + 1)) << 4) & 0x10101010;

        const int kq0 = ky - ky % (QI5_K/2) + txi % (QI5_K/4) + 0;
        const int kq1 = ky - ky % (QI5_K/2) + txi % (QI5_K/4) + QI5_K/4;

#if defined(AMD_MFMA_AVAILABLE) || defined(TURING_MMA_AVAILABLE)
        x_qs[i*MMQ_MMA_TILE_X_K_Q8_1 + kq0] = ql0 | qh0;
        x_qs[i*MMQ_MMA_TILE_X_K_Q8_1 + kq1] = ql1 | qh1;
#else
        x_qs[i*(2*MMQ_TILE_NE_K + 1) + kq0] = ql0 | qh0;
        x_qs[i*(2*MMQ_TILE_NE_K + 1) + kq1] = ql1 | qh1;
#endif // defined(AMD_MFMA_AVAILABLE) || defined(TURING_MMA_AVAILABLE)
    }

#if defined(AMD_MFMA_AVAILABLE) || defined(TURING_MMA_AVAILABLE)
    constexpr int rows_per_warp = warp_size / 2;
#pragma unroll
    for (int i0 = 0; i0 < mmq_y; i0 += nwarps*rows_per_warp) {
#if defined(AMD_MFMA_AVAILABLE)
        // Need if on AMD instead of % because warp_size == 64
        // This causes double work and throughput loss (MI300X)
        // H100 loses about 100 t/s with 'if' condition over '%'
        int i = i0 + threadIdx.y*rows_per_warp + threadIdx.x/2;
        if (i < mmq_y) {
#else
        int i = (i0 + threadIdx.y*rows_per_warp + threadIdx.x/2) % mmq_y;
        {
#endif // defined(AMD_MFMA_AVAILABLE)
            if (need_check) {
                i = min(i, i_max);
            }

            const block_q5_K * bxi = (const block_q5_K *) x + kbx0 + i*stride;

            const int * scales = (const int *) bxi->scales;
            const int ksc = threadIdx.x % 2;

            const int sc32 = unpack_scales_q45_K(scales, ksc + 0);
            const int  m32 = unpack_scales_q45_K(scales, ksc + 2);

            const uint8_t * sc8 = (const uint8_t *) &sc32;
            const uint8_t *  m8 = (const uint8_t *)  &m32;

            const half2 dm = bxi->dm * make_half2(1.0f, -1.0f);

#pragma unroll
            for (int l = 0; l < int(sizeof(int)); ++l) {
                x_dm[i*MMQ_MMA_TILE_X_K_Q8_1 + sizeof(int)*ksc + l] = dm*make_half2(sc8[l], m8[l]);
            }
        }
    }
#else
#pragma unroll
    for (int i0 = 0; i0 < mmq_y; i0 += nwarps*warp_size) {
        int i = (i0 + threadIdx.y*warp_size + threadIdx.x) % mmq_y;

        if (need_check) {
            i = min(i, i_max);
        }

        const block_q5_K * bxi = (const block_q5_K *) x + kbx0 + i*stride;

        x_dm[i] = bxi->dm;
    }

    constexpr int rows_per_warp = warp_size / 4;
#pragma unroll
    for (int i0 = 0; i0 < mmq_y; i0 += nwarps*rows_per_warp) {
        int i = (i0 + threadIdx.y*rows_per_warp + threadIdx.x/(MMQ_TILE_NE_K/8)) % mmq_y;

        if (need_check) {
            i = min(i, i_max);
        }

        const block_q5_K * bxi = (const block_q5_K *) x + kbx0 + i*stride;

        const int * scales = (const int *) bxi->scales;

        const int ksc = threadIdx.x % (MMQ_TILE_NE_K/8);
        const int scales8 = unpack_scales_q45_K(scales, ksc);

        x_sc[i*(MMQ_TILE_NE_K/8) + i/8 + ksc] = scales8;
    }
#endif // defined(AMD_MFMA_AVAILABLE) || defined(TURING_MMA_AVAILABLE)
}

template <int mmq_x, int mmq_y>
static __device__ __forceinline__ void vec_dot_q5_K_q8_1_dp4a(
    const int * __restrict__ x, const int * __restrict__ y, float * __restrict__ sum, const int k00) {
    constexpr int nwarps = mmq_get_nwarps_device();
    constexpr int warp_size = ggml_cuda_get_physical_warp_size();

    constexpr tile_x_sizes txs = mmq_get_dp4a_tile_x_sizes(GGML_TYPE_Q5_K, mmq_y);
    const int   * x_qs = (const int   *) x;
    const half2 * x_dm = (const half2 *) x_qs + txs.qs;
    const int   * x_sc = (const int   *) x_dm + txs.dm;
    const int   * y_qs = (const int   *) y + 4;
    const half2 * y_ds = (const half2 *) y;

// #pragma unroll
    for (int k01 = 0; k01 < MMQ_TILE_NE_K; k01 += QR5_K*VDR_Q5_K_Q8_1_MMQ) {
        const int k0 = k00 + k01;

#pragma unroll
        for (int j0 = 0; j0 < mmq_x; j0 += nwarps) {
            const int j = j0 + threadIdx.y;

#pragma unroll
            for (int i0 = 0; i0 < mmq_y; i0 += warp_size) {
                const int i = i0 + threadIdx.x;

                const uint8_t * sc = ((const uint8_t *) &x_sc[i * (MMQ_TILE_NE_K/8) + i/8 + k00/32]) + 2*(k01/16);

                sum[j0/nwarps*mmq_y/warp_size + i0/warp_size] += vec_dot_q5_K_q8_1_impl_mmq(
                    &x_qs[i*(QR5_K*MMQ_TILE_NE_K + 1) + k0], &y_qs[j*MMQ_TILE_Y_K + k01], sc, sc+8,
                    x_dm[i], &y_ds[j*MMQ_TILE_Y_K + k01/QI8_1]);
            }
        }
    }
}

template <int mmq_y, bool need_check> static __device__ __forceinline__ void load_tiles_q6_K(
    const char * __restrict__ x, int * __restrict__ x_tile, const int kbx0, const int i_max, const int stride) {
    constexpr int nwarps = mmq_get_nwarps_device();
    constexpr int warp_size = ggml_cuda_get_physical_warp_size();

#if defined(AMD_MFMA_AVAILABLE) || defined(TURING_MMA_AVAILABLE)
    int   * x_qs = (int   *)  x_tile;
    float * x_df = (float *) (x_qs + MMQ_TILE_NE_K*2);
    int   * x_sc = (int   *) (x_df + MMQ_TILE_NE_K/QI6_K);
#else
    constexpr tile_x_sizes txs = mmq_get_dp4a_tile_x_sizes(GGML_TYPE_Q6_K, mmq_y);
    int   * x_qs = (int   *)  x_tile;
    float * x_df = (float *) (x_qs + txs.qs);
    int   * x_sc = (int   *) (x_df + txs.dm);
#endif // defined(AMD_MFMA_AVAILABLE) || defined(TURING_MMA_AVAILABLE)

    constexpr int threads_per_row = MMQ_ITER_K / (4 * QR6_K);
    constexpr int nrows = warp_size / threads_per_row;
    const int txi = warp_size > threads_per_row ? threadIdx.x % threads_per_row : threadIdx.x;

#pragma unroll
    for (int i0 = 0; i0 < mmq_y; i0 += nrows*nwarps) {
        int i = i0 + (nrows == 1 ? threadIdx.y : threadIdx.y*nrows + threadIdx.x/threads_per_row);

        if (need_check) {
            i = min(i, i_max);
        }

        const block_q6_K * bxi = (const block_q6_K *) x + kbx0 + i*stride;

        const int ql = get_int_b2(bxi->ql, txi);
        const int ql0 = (ql >> 0) & 0x0F0F0F0F;
        const int ql1 = (ql >> 4) & 0x0F0F0F0F;

        const int qh = get_int_b2(bxi->qh, (QI6_K/4) * (txi / (QI6_K/2)) + txi % (QI6_K/4));
        const int qh0 = ((qh >> ((txi & 0x08) >> 2)) << 4) & 0x30303030;
        const int qh1 =  (qh >> ((txi & 0x08) >> 2))       & 0x30303030;

        const int kq0 = 2*txi - txi % (QI6_K/2) + 0;
        const int kq1 = 2*txi - txi % (QI6_K/2) + QI6_K/2;

#if defined(AMD_MFMA_AVAILABLE) || defined(TURING_MMA_AVAILABLE)
        x_qs[i*MMQ_MMA_TILE_X_K_Q6_K + kq0] = __vsubss4(ql0 | qh0, 0x20202020);
        x_qs[i*MMQ_MMA_TILE_X_K_Q6_K + kq1] = __vsubss4(ql1 | qh1, 0x20202020);
#else
        x_qs[i*(2*MMQ_TILE_NE_K + 1) + kq0] = __vsubss4(ql0 | qh0, 0x20202020);
        x_qs[i*(2*MMQ_TILE_NE_K + 1) + kq1] = __vsubss4(ql1 | qh1, 0x20202020);
#endif // defined(AMD_MFMA_AVAILABLE) || defined(TURING_MMA_AVAILABLE)
    }

#pragma unroll
    for (int i0 = 0; i0 < mmq_y; i0 += nwarps*warp_size) {
        int i = (i0 + threadIdx.y*warp_size + threadIdx.x) % mmq_y;

        if (need_check) {
            i = min(i, i_max);
        }

        const block_q6_K * bxi = (const block_q6_K *) x + kbx0 + i*stride;

#if defined(AMD_MFMA_AVAILABLE) || defined(TURING_MMA_AVAILABLE)
        x_df[i*MMQ_MMA_TILE_X_K_Q6_K]           = bxi->d;
#else
        x_df[i*(MMQ_TILE_NE_K/QI6_K) + i/QI6_K] = bxi->d;
#endif // defined(AMD_MFMA_AVAILABLE) || defined(TURING_MMA_AVAILABLE)
    }

    constexpr int rows_per_warp = warp_size / 4;
#pragma unroll
    for (int i0 = 0; i0 < mmq_y; i0 += nwarps*rows_per_warp) {
        int i = (i0 + threadIdx.y*rows_per_warp + threadIdx.x/(MMQ_TILE_NE_K/8)) % mmq_y;

        if (need_check) {
            i = min(i, i_max);
        }

        const block_q6_K * bxi = (const block_q6_K *) x + kbx0 + i*stride + (threadIdx.x % (MMQ_TILE_NE_K/8)) / 4;

#if defined(AMD_MFMA_AVAILABLE) || defined(TURING_MMA_AVAILABLE)
        x_sc[i*MMQ_MMA_TILE_X_K_Q6_K + threadIdx.x%4] = get_int_b2(bxi->scales, threadIdx.x % (MMQ_TILE_NE_K/8));
#else
        x_sc[i*(MMQ_TILE_NE_K/8) + i/8 + threadIdx.x%(MMQ_TILE_NE_K/8)] = get_int_b2(bxi->scales, threadIdx.x%(QI6_K/8));
#endif // defined(AMD_MFMA_AVAILABLE) || defined(TURING_MMA_AVAILABLE)
    }
}

template <int mmq_x, int mmq_y>
static __device__ __forceinline__ void vec_dot_q6_K_q8_1_dp4a(
    const int * __restrict__ x, const int * __restrict__ y, float * __restrict__ sum, const int k00) {
    constexpr int nwarps = mmq_get_nwarps_device();
    constexpr int warp_size = ggml_cuda_get_physical_warp_size();

    constexpr tile_x_sizes txs = mmq_get_dp4a_tile_x_sizes(GGML_TYPE_Q6_K, mmq_y);
    const int   * x_qs = (const int   *) x;
    const float * x_df = (const float *) x_qs + txs.qs;
    const int   * x_sc = (const int   *) x_df + txs.dm;
    const int   * y_qs = (const int   *) y + 4;
    const float * y_df = (const float *) y;

// #pragma unroll
    for (int k01 = 0; k01 < MMQ_TILE_NE_K; k01 += QR6_K*VDR_Q6_K_Q8_1_MMQ) {
        const int k0 = k00 + k01;

#pragma unroll
        for (int j0 = 0; j0 < mmq_x; j0 += nwarps) {
            const int j = j0 + threadIdx.y;

#pragma unroll
            for (int i0 = 0; i0 < mmq_y; i0 += warp_size) {
                const int i = i0 + threadIdx.x;

                const int8_t * sc = ((const int8_t *) &x_sc[i * (MMQ_TILE_NE_K/8) + i/8 + k0/16]);

                sum[j0/nwarps*mmq_y/warp_size + i0/warp_size] += vec_dot_q6_K_q8_1_impl_mmq(
                    &x_qs[i*(QR6_K*MMQ_TILE_NE_K + 1) + k0], &y_qs[j*MMQ_TILE_Y_K + k01], sc,
                    x_df[i*(MMQ_TILE_NE_K/QI6_K) + i/QI6_K], &y_df[j*MMQ_TILE_Y_K + k01/QI8_1]);
            }
        }
    }
}

template <int mmq_x, int mmq_y>
static __device__ __forceinline__ void vec_dot_q6_K_q8_1_mma(
    const int * __restrict__ x, const int * __restrict__ y, float * __restrict__ sum, const int k00) {
#if defined(AMD_MFMA_AVAILABLE)
    typedef tile<16,  8, int> tile_A;
    typedef tile<16,  8, int> tile_B;
    typedef tile<16, 16, int> tile_C;
    typedef tile<64,  2, int> tile_load;

    constexpr int granularity = mmq_get_granularity_device(mmq_x);
    constexpr int rows_per_warp = granularity;
    constexpr int ntx = rows_per_warp/tile_C::I; // Number of x minitiles per warp.

    y += (threadIdx.y % ntx) * (tile_C::J*MMQ_TILE_Y_K);

    const int   * x_qs = (const int   *) x;
    const float * x_df = (const float *) x_qs + MMQ_TILE_NE_K*2;
    const int   * x_sc = (const int   *) x_df + MMQ_TILE_NE_K/QI6_K;
    const int   * y_qs = (const int   *) y + 4;
    const float * y_df = (const float *) y;

    const int i0 = (threadIdx.y / ntx) * rows_per_warp;

    for (int k01 = 0; k01 < MMQ_TILE_NE_K; k01 += 4) {
        const int k0 = k00 + k01;

        tile_A A[ntx];
#pragma unroll
        for (int n = 0; n < ntx; ++n) {
            load_generic(((tile_load *) A)[n], x_qs + (i0 + n*tile_A::I)*MMQ_MMA_TILE_X_K_Q6_K + k0, MMQ_MMA_TILE_X_K_Q6_K);
        }

#pragma unroll
        for (int j0 = 0; j0 < mmq_x; j0 += ntx*tile_C::J) {
            tile_B B[1];
            load_generic(((tile_load *) B)[0], y_qs + j0*MMQ_TILE_Y_K + k01, MMQ_TILE_Y_K);

            const int j = j0 + tile_C::get_j(0);
            const float dB = y_df[j*MMQ_TILE_Y_K + k01/QI8_1] / 2;

#pragma unroll
            for (int n = 0; n < ntx; ++n) {
                tile_C C;
                mma(C, A[n], B[0]);

#pragma unroll
                for (int l = 0; l < tile_C::ne; ++l) {
                    const int i = i0 + n*tile_C::I + tile_C::get_i(l);
                    const int8_t * sc = (const int8_t *) (x_sc + i*MMQ_MMA_TILE_X_K_Q6_K + k00/16);
                    sum[(j0/tile_C::J + n)*tile_C::ne + l] += C.x[l] * sc[k01/4] * x_df[i*MMQ_MMA_TILE_X_K_Q6_K] * dB;
                }
            }
        }
    }
#elif defined(TURING_MMA_AVAILABLE)

    typedef tile<16, 4, int> tile_A;
    typedef tile< 8, 4, int> tile_B;
    typedef tile<16, 8, int> tile_C;

    constexpr int granularity = mmq_get_granularity_device(mmq_x);
    constexpr int rows_per_warp = 2 * granularity;
    constexpr int ntx = rows_per_warp/tile_C::I; // Number of x minitiles per warp.

    y += (threadIdx.y % ntx) * (tile_C::J*MMQ_TILE_Y_K);

    const int   * x_qs = (const int   *) x;
    const float * x_df = (const float *) x_qs + MMQ_TILE_NE_K*2;
    const int   * x_sc = (const int   *) x_df + MMQ_TILE_NE_K/QI6_K;
    const int   * y_qs = (const int   *) y + 4;
    const float * y_df = (const float *) y;

    const int i0 = (threadIdx.y / ntx) * (ntx*tile_A::I);

    tile_A   A[ntx][8];
    int    scA[ntx][tile_C::ne/2][8];
    float   dA[ntx][tile_C::ne/2];

#pragma unroll
    for (int n = 0; n < ntx; ++n) {
#pragma unroll
        for (int k01 = 0; k01 < MMQ_TILE_NE_K; k01 += 8) {
            const int k0 = k00 + k01;

            load_ldmatrix(A[n][k01/4 + 0], x_qs + (i0 + n*tile_A::I)*MMQ_MMA_TILE_X_K_Q6_K + (k0 + 0),         MMQ_MMA_TILE_X_K_Q6_K);
            load_ldmatrix(A[n][k01/4 + 1], x_qs + (i0 + n*tile_A::I)*MMQ_MMA_TILE_X_K_Q6_K + (k0 + tile_A::J), MMQ_MMA_TILE_X_K_Q6_K);
        }

#pragma unroll
        for (int k01 = 0; k01 < MMQ_TILE_NE_K; k01 += 16) {
            const int k0 = k00 + k01;

#pragma unroll
            for (int l = 0; l < tile_C::ne/2; ++l) {
                const int i = i0 + n*tile_C::I + tile_C::get_i(2*l);

                const int      sc_packed = x_sc[i*MMQ_MMA_TILE_X_K_Q6_K + k0/16];
                const int8_t * sc        = (const int8_t *) &sc_packed;

#pragma unroll
                for (int ksc = 0; ksc < sizeof(int); ++ksc) {
                    scA[n][l][k01/4 + ksc] = sc[ksc];
                }
            }
        }

#pragma unroll
        for (int l = 0; l < tile_C::ne/2; ++l) {
            const int i = i0 + n*tile_C::I + tile_C::get_i(2*l);

            dA[n][l] = x_df[i*MMQ_MMA_TILE_X_K_Q6_K];
        }
    }

#pragma unroll
    for (int j0 = 0; j0 < mmq_x; j0 += ntx*tile_C::J) {
        float tmp[ntx][tile_C::ne] = {{0.0f}};

#pragma unroll
        for (int k01 = 0; k01 < MMQ_TILE_NE_K; k01 += 8) {
            tile_B B[2];
            float dB[tile_C::ne/2];

            // Here load_generic is faster than load_ldmatrix.
            load_generic(B[0], y_qs + j0*MMQ_TILE_Y_K + 0         + k01, MMQ_TILE_Y_K);
            load_generic(B[1], y_qs + j0*MMQ_TILE_Y_K + tile_B::J + k01, MMQ_TILE_Y_K);

#pragma unroll
            for (int l = 0; l < tile_C::ne/2; ++l) {
                const int j = j0 + tile_C::get_j(l);

                dB[l] = y_df[j*MMQ_TILE_Y_K + k01/QI8_1];
            }

#pragma unroll
            for (int n = 0; n < ntx; ++n) {
                tile_C C[2];
                mma(C[0], A[n][k01/4 + 0], B[0]);
                mma(C[1], A[n][k01/4 + 1], B[1]);

#pragma unroll
                for (int l = 0; l < tile_C::ne; ++l) {
                    tmp[n][l] += (C[0].x[l]*scA[n][l/2][k01/4 + 0] + C[1].x[l]*scA[n][l/2][k01/4 + 1])*dB[l%2];
                }
            }
        }

#pragma unroll
        for (int n = 0; n < ntx; ++n) {
#pragma unroll
            for (int l = 0; l < tile_C::ne; ++l) {
                sum[(j0/tile_C::J + n)*tile_C::ne + l] += tmp[n][l]*dA[n][l/2];
            }
        }
    }
#else
    GGML_UNUSED_VARS(x, y, sum, k00);
    NO_DEVICE_CODE;
#endif // AMD_MFMA_AVAILABLE
}

template <int mmq_y, bool need_check> static __device__ __forceinline__ void load_tiles_iq4_nl(
    const char * __restrict__ x, int * __restrict__ x_tile, const int kbx0, const int i_max, const int stride) {
    constexpr int nwarps = mmq_get_nwarps_device();
    constexpr int warp_size = ggml_cuda_get_physical_warp_size();

#if defined(AMD_MFMA_AVAILABLE) || defined(TURING_MMA_AVAILABLE)
    int   * x_qs = (int   *)  x_tile;
    float * x_df = (float *) (x_qs + MMQ_TILE_NE_K*2);
#else
    constexpr tile_x_sizes txs = mmq_get_dp4a_tile_x_sizes(GGML_TYPE_IQ4_NL, mmq_y);
    int   * x_qs = (int   *)  x_tile;
    float * x_df = (float *) (x_qs + txs.qs);
#endif // defined(AMD_MFMA_AVAILABLE) || defined(TURING_MMA_AVAILABLE)

    constexpr int threads_per_row = MMQ_ITER_K / (4 * QR4_NL);
    constexpr int nrows = warp_size / threads_per_row;
    const int txi = warp_size > threads_per_row ? threadIdx.x % threads_per_row : threadIdx.x;
    const int kbx  = txi / QI4_NL;
    const int kqsx = txi % QI4_NL;

#pragma unroll
    for (int i0 = 0; i0 < mmq_y; i0 += nrows*nwarps) {
        int i = i0 + (nrows == 1 ? threadIdx.y : threadIdx.y*nrows + threadIdx.x/threads_per_row);

        if (need_check) {
            i = min(i, i_max);
        }

        const block_iq4_nl * bxi = (const block_iq4_nl *) x + kbx0 + i*stride + kbx;

        const int aux_q4 = get_int_b2(bxi->qs, kqsx);
        const int2 v = get_int_from_table_16(aux_q4, kvalues_iq4nl);
        const int k0 = kbx * (2 * QI4_NL) + kqsx;

#if defined(AMD_MFMA_AVAILABLE) || defined(TURING_MMA_AVAILABLE)
        x_qs[i*MMQ_MMA_TILE_X_K_Q8_0 + k0 + 0]      = v.x;
        x_qs[i*MMQ_MMA_TILE_X_K_Q8_0 + k0 + QI4_NL] = v.y;
#else
        x_qs[i*(2*MMQ_TILE_NE_K + 1) + k0 + 0]      = v.x;
        x_qs[i*(2*MMQ_TILE_NE_K + 1) + k0 + QI4_NL] = v.y;
#endif // defined(AMD_MFMA_AVAILABLE) || defined(TURING_MMA_AVAILABLE)
    }

    constexpr int blocks_per_tile_x_row = MMQ_TILE_NE_K / QI4_NL;
    constexpr int rows_per_warp = warp_size / blocks_per_tile_x_row;
    const int kbxd = threadIdx.x % blocks_per_tile_x_row;

#pragma unroll
    for (int i0 = 0; i0 < mmq_y; i0 += nwarps * rows_per_warp) {
        int i = i0 + threadIdx.y * rows_per_warp + threadIdx.x / blocks_per_tile_x_row;

        if (need_check) {
            i = min(i, i_max);
        }

        const block_iq4_nl * bxi = (const block_iq4_nl *) x + kbx0 + i*stride + kbxd;

#if defined(AMD_MFMA_AVAILABLE) || defined(TURING_MMA_AVAILABLE)
        x_df[i*MMQ_MMA_TILE_X_K_Q8_0             + kbxd] = __half2float(bxi->d);
#else
        x_df[i*(MMQ_TILE_NE_K/QI4_NL) + i/QI4_NL + kbxd] = __half2float(bxi->d);
#endif // defined(AMD_MFMA_AVAILABLE) || defined(TURING_MMA_AVAILABLE)
    }
}

template <int mmq_y, bool need_check> static __device__ __forceinline__ void load_tiles_iq2_xxs(
    const char * __restrict__ x, int * __restrict__ x_tile, const int kbx0, const int i_max, const int stride) {
    constexpr int nwarps = mmq_get_nwarps_device();
    constexpr int warp_size = ggml_cuda_get_physical_warp_size();

#if defined(AMD_MFMA_AVAILABLE) || defined(TURING_MMA_AVAILABLE)
    int   * x_qs = (int   *)  x_tile;
    float * x_df = (float *) (x_qs + MMQ_TILE_NE_K*2);
#else
    constexpr tile_x_sizes txs = mmq_get_dp4a_tile_x_sizes(GGML_TYPE_IQ2_XXS, mmq_y);
    int   * x_qs = (int   *)  x_tile;
    float * x_df = (float *) (x_qs + txs.qs);
#endif // defined(AMD_MFMA_AVAILABLE) || defined(TURING_MMA_AVAILABLE)

    constexpr int threads_per_row = (MMQ_ITER_K / (4 * QR2_XXS)) / 2;
    constexpr int nrows = warp_size / threads_per_row;
    const int kqsx = warp_size > threads_per_row ? threadIdx.x % threads_per_row : threadIdx.x;

#pragma unroll
    for (int i0 = 0; i0 < mmq_y; i0 += nwarps * nrows) {
        int i = i0 + threadIdx.y*nrows + threadIdx.x/threads_per_row;

        if (need_check) {
            i = min(i, i_max);
        }

        const block_iq2_xxs * bxi = (const block_iq2_xxs *) x + kbx0 + i*stride;

        const int q2 = get_int_b2(bxi->qs, 2*kqsx+0);
        const uint8_t * aux8 = (const uint8_t *) &q2;
        const uint32_t aux32 = get_int_b2(bxi->qs, 2*kqsx+1);

#pragma unroll
        for (int l = 0; l < QR2_XXS; ++l) {
            const int * grid_pos = (const int *) (iq2xxs_grid + aux8[l]);
            const int signs_packed = ksigns_iq2xs[(aux32 >> (7*l)) & 0x7F];

            const int signs0 = __vcmpne4(((signs_packed & 0x03) << 7) | ((signs_packed & 0x0C) << 21), 0x00000000);
            const int grid0 = __vsub4(grid_pos[0] ^ signs0, signs0);

            const int signs1 = __vcmpne4(((signs_packed & 0x30) << 3) | ((signs_packed & 0xC0) << 17), 0x00000000);
            const int grid1 = __vsub4(grid_pos[1] ^ signs1, signs1);

#if defined(AMD_MFMA_AVAILABLE) || defined(TURING_MMA_AVAILABLE)
            x_qs[i*MMQ_MMA_TILE_X_K_Q8_0 + 8*kqsx + (2*l + 0)] = grid0;
            x_qs[i*MMQ_MMA_TILE_X_K_Q8_0 + 8*kqsx + (2*l + 1)] = grid1;
#else
            x_qs[i*(2*MMQ_TILE_NE_K + 1) + 8*kqsx + (2*l + 0)] = grid0;
            x_qs[i*(2*MMQ_TILE_NE_K + 1) + 8*kqsx + (2*l + 1)] = grid1;
#endif // defined(AMD_MFMA_AVAILABLE) || defined(TURING_MMA_AVAILABLE)
        }

        const int ls = aux32 >> 28;
        const float d = bxi->d;
#if defined(AMD_MFMA_AVAILABLE) || defined(TURING_MMA_AVAILABLE)
        x_df[i*MMQ_MMA_TILE_X_K_Q8_0   + kqsx] = (ls*d + d/2)/4;
#else
        x_df[i*(MMQ_TILE_NE_K/4) + i/4 + kqsx] = (ls*d + d/2)/4;
#endif // defined(AMD_MFMA_AVAILABLE) || defined(TURING_MMA_AVAILABLE)
    }
}

template <int mmq_y, bool need_check> static __device__ __forceinline__ void load_tiles_iq2_xs(
    const char * __restrict__ x, int * __restrict__ x_tile, const int kbx0, const int i_max, const int stride) {
    constexpr int nwarps = mmq_get_nwarps_device();
    constexpr int warp_size = ggml_cuda_get_physical_warp_size();

#if defined(AMD_MFMA_AVAILABLE) || defined(TURING_MMA_AVAILABLE)
    int   * x_qs = (int   *)  x_tile;
    float * x_df = (float *) (x_qs + MMQ_TILE_NE_K*2);
#else
    constexpr tile_x_sizes txs = MMQ_DP4A_TXS_Q8_0_16;
    int   * x_qs = (int   *)  x_tile;
    float * x_df = (float *) (x_qs + txs.qs);
#endif // defined(AMD_MFMA_AVAILABLE) || defined(TURING_MMA_AVAILABLE)

    constexpr int threads_per_row = (MMQ_ITER_K / (4 * QR2_XS)) / 2;
    constexpr int nrows = warp_size / threads_per_row;
    const int kqsx = threadIdx.x % threads_per_row;

#pragma unroll
    for (int i0 = 0; i0 < mmq_y; i0 += nwarps * nrows) {
        int i = i0 + threadIdx.y*nrows + threadIdx.x/threads_per_row;

        if (need_check) {
            i = min(i, i_max);
        }

        const block_iq2_xs * bxi = (const block_iq2_xs *) x + kbx0 + i*stride;

        const int2 q2_packed = make_int2(get_int_b2(bxi->qs, 2*kqsx+0), get_int_b2(bxi->qs, 2*kqsx+1));
        const uint16_t * q2 = (const uint16_t *) &q2_packed;

    #pragma unroll
        for (int l = 0; l < QR2_XS; ++l) {
            const uint32_t * grid_pos = (const uint32_t *)(iq2xs_grid + (q2[l] & 0x000001FF));
            const uint32_t * signs    = (const uint32_t *)(ksigns64   + (q2[l] >> 9));

            const int grid_l = __vsub4(grid_pos[0] ^ signs[0], signs[0]);
            const int grid_h = __vsub4(grid_pos[1] ^ signs[1], signs[1]);

#if defined(AMD_MFMA_AVAILABLE) || defined(TURING_MMA_AVAILABLE)
            x_qs[i*MMQ_MMA_TILE_X_K_Q3_K + 8*kqsx + (2*l + 0)] = grid_l;
            x_qs[i*MMQ_MMA_TILE_X_K_Q3_K + 8*kqsx + (2*l + 1)] = grid_h;
#else
            x_qs[i*(2*MMQ_TILE_NE_K + 1) + 8*kqsx + (2*l + 0)] = grid_l;
            x_qs[i*(2*MMQ_TILE_NE_K + 1) + 8*kqsx + (2*l + 1)] = grid_h;
#endif // defined(AMD_MFMA_AVAILABLE) || defined(TURING_MMA_AVAILABLE)
        }

        const int ls = bxi->scales[kqsx];
        const float d = bxi->d;
#if defined(AMD_MFMA_AVAILABLE) || defined(TURING_MMA_AVAILABLE)
        x_df[i*MMQ_MMA_TILE_X_K_Q3_K                   + 2*kqsx+0] = ((ls &  0x0F)*d + d/2)/4;
        x_df[i*MMQ_MMA_TILE_X_K_Q3_K                   + 2*kqsx+1] = ((ls >>    4)*d + d/2)/4;
#else
        x_df[i*(2*MMQ_TILE_NE_K*2/QI8_0) + i/(QI8_0/4) + 2*kqsx+0] = ((ls &  0x0F)*d + d/2)/4;
        x_df[i*(2*MMQ_TILE_NE_K*2/QI8_0) + i/(QI8_0/4) + 2*kqsx+1] = ((ls >>    4)*d + d/2)/4;
#endif // defined(AMD_MFMA_AVAILABLE) || defined(TURING_MMA_AVAILABLE)
    }
}

template <int mmq_y, bool need_check> static __device__ __forceinline__ void load_tiles_iq2_s(
    const char * __restrict__ x, int * __restrict__ x_tile, const int kbx0, const int i_max, const int stride) {
    constexpr int nwarps = mmq_get_nwarps_device();
    constexpr int warp_size = ggml_cuda_get_physical_warp_size();

#if defined(AMD_MFMA_AVAILABLE) || defined(TURING_MMA_AVAILABLE)
    int   * x_qs = (int   *)  x_tile;
    float * x_df = (float *) (x_qs + MMQ_TILE_NE_K*2);
#else
    constexpr tile_x_sizes txs = mmq_get_dp4a_tile_x_sizes(GGML_TYPE_IQ2_S, mmq_y);
    int   * x_qs = (int   *)  x_tile;
    float * x_df = (float *) (x_qs + txs.qs);
#endif // defined(AMD_MFMA_AVAILABLE) || defined(TURING_MMA_AVAILABLE)

    constexpr int threads_per_row = (MMQ_ITER_K / (4 * QR2_S)) / 2;
    constexpr int nrows = warp_size / threads_per_row;
    const int kqsx = threadIdx.x % threads_per_row;

#pragma unroll
    for (int i0 = 0; i0 < mmq_y; i0 += nwarps * nrows) {
        int i = i0 + threadIdx.y*nrows + threadIdx.x/threads_per_row;

        if (need_check) {
            i = min(i, i_max);
        }

        const block_iq2_s * bxi = (const block_iq2_s *) x + kbx0 + i*stride;

        const int       qs_packed = get_int_b2(bxi->qs, kqsx);
        const uint8_t * qs        = (const uint8_t *) &qs_packed;

        const int qh = bxi->qh[kqsx];

        const int       signs_packed_32 = get_int_b2(bxi->qs, QK_K/32 + kqsx);
        const uint8_t * signs_packed_8  = (const uint8_t *) &signs_packed_32;

#pragma unroll
        for (int l = 0; l < QR2_S; ++l) {
            const int * grid_pos = (const int *)(iq2s_grid + (qs[l] | ((qh << (8-2*l)) & 0x300)));

            const int signs0 = __vcmpne4(((signs_packed_8[l] & 0x03) << 7) | ((signs_packed_8[l] & 0x0C) << 21), 0x00000000);
            const int signs1 = __vcmpne4(((signs_packed_8[l] & 0x30) << 3) | ((signs_packed_8[l] & 0xC0) << 17), 0x00000000);

            const int grid_l = __vsub4(grid_pos[0] ^ signs0, signs0);
            const int grid_h = __vsub4(grid_pos[1] ^ signs1, signs1);

#if defined(AMD_MFMA_AVAILABLE) || defined(TURING_MMA_AVAILABLE)
            x_qs[i*MMQ_MMA_TILE_X_K_Q3_K + 8*kqsx + (2*l + 0)] = grid_l;
            x_qs[i*MMQ_MMA_TILE_X_K_Q3_K + 8*kqsx + (2*l + 1)] = grid_h;
#else
            x_qs[i*(2*MMQ_TILE_NE_K + 1) + 8*kqsx + (2*l + 0)] = grid_l;
            x_qs[i*(2*MMQ_TILE_NE_K + 1) + 8*kqsx + (2*l + 1)] = grid_h;
#endif // defined(AMD_MFMA_AVAILABLE) || defined(TURING_MMA_AVAILABLE)
        }

        const int ls = bxi->scales[kqsx];
        const float d = bxi->d;
#if defined(AMD_MFMA_AVAILABLE) || defined(TURING_MMA_AVAILABLE)
        x_df[i*MMQ_MMA_TILE_X_K_Q3_K                   + 2*kqsx+0] = ((ls &  0x0F)*d + d/2)/4;
        x_df[i*MMQ_MMA_TILE_X_K_Q3_K                   + 2*kqsx+1] = ((ls >>    4)*d + d/2)/4;
#else
        x_df[i*(2*MMQ_TILE_NE_K*2/QI8_0) + i/(QI8_0/4) + 2*kqsx+0] = ((ls &  0x0F)*d + d/2)/4;
        x_df[i*(2*MMQ_TILE_NE_K*2/QI8_0) + i/(QI8_0/4) + 2*kqsx+1] = ((ls >>    4)*d + d/2)/4;
#endif // defined(AMD_MFMA_AVAILABLE) || defined(TURING_MMA_AVAILABLE)
    }
}

template <int mmq_y, bool need_check> static __device__ __forceinline__ void load_tiles_iq3_xxs(
    const char * __restrict__ x, int * __restrict__ x_tile, const int kbx0, const int i_max, const int stride) {
    constexpr int nwarps = mmq_get_nwarps_device();
    constexpr int warp_size = ggml_cuda_get_physical_warp_size();

#if defined(AMD_MFMA_AVAILABLE) || defined(TURING_MMA_AVAILABLE)
    int   * x_qs = (int   *)  x_tile;
    float * x_df = (float *) (x_qs + MMQ_TILE_NE_K*2);
#else
    constexpr tile_x_sizes txs = mmq_get_dp4a_tile_x_sizes(GGML_TYPE_IQ3_XXS, mmq_y);
    int   * x_qs = (int   *)  x_tile;
    float * x_df = (float *) (x_qs + txs.qs);
#endif // defined(AMD_MFMA_AVAILABLE) || defined(TURING_MMA_AVAILABLE)

    constexpr int threads_per_row = (MMQ_ITER_K / (4 * QR3_XXS)) / 2;
    constexpr int nrows = warp_size / threads_per_row;
    const int kqsx = threadIdx.x % threads_per_row;

#pragma unroll
    for (int i0 = 0; i0 < mmq_y; i0 += nwarps * nrows) {
        int i = i0 + threadIdx.y*nrows + threadIdx.x/threads_per_row;

        if (need_check) {
            i = min(i, i_max);
        }

        const block_iq3_xxs * bxi = (const block_iq3_xxs *) x + kbx0 + i*stride;

        const int2 q3_packed = make_int2(get_int_b2(bxi->qs, 2*kqsx+0), get_int_b2(bxi->qs, 2*kqsx+1));
        const uint8_t * q3 = (const uint8_t *) &q3_packed;
        const uint32_t aux32 = get_int_b2(bxi->qs, QK_K/16 + kqsx);

#pragma unroll
        for (int l = 0; l < QR3_XXS; ++l) {
            const int2 grid_pos = make_int2(iq3xxs_grid[q3[2*l+0]], iq3xxs_grid[q3[2*l+1]]);

            const int * signs = (const int *)(ksigns64 + ((aux32 >> (7*l)) & 0x7F));

            const int grid_l = __vsub4(grid_pos.x ^ signs[0], signs[0]);
            const int grid_h = __vsub4(grid_pos.y ^ signs[1], signs[1]);

#if defined(AMD_MFMA_AVAILABLE) || defined(TURING_MMA_AVAILABLE)
            x_qs[i*MMQ_MMA_TILE_X_K_Q8_0 + 8*kqsx + (2*l + 0)] = grid_l;
            x_qs[i*MMQ_MMA_TILE_X_K_Q8_0 + 8*kqsx + (2*l + 1)] = grid_h;
#else
            x_qs[i*(2*MMQ_TILE_NE_K + 1) + 8*kqsx + (2*l + 0)] = grid_l;
            x_qs[i*(2*MMQ_TILE_NE_K + 1) + 8*kqsx + (2*l + 1)] = grid_h;
#endif // defined(AMD_MFMA_AVAILABLE) || defined(TURING_MMA_AVAILABLE)
        }

        const int ls = aux32 >> 28;
        const float d = bxi->d;
#if defined(AMD_MFMA_AVAILABLE) || defined(TURING_MMA_AVAILABLE)
        x_df[i*MMQ_MMA_TILE_X_K_Q8_0     + kqsx] = (ls*d + d/2)/2;
#else
        x_df[i*(MMQ_TILE_NE_K/4) + i/4   + kqsx] = (ls*d + d/2)/2;
#endif // defined(AMD_MFMA_AVAILABLE) || defined(TURING_MMA_AVAILABLE)
    }
}

template <int mmq_y, bool need_check> static __device__ __forceinline__ void load_tiles_iq3_s(
    const char * __restrict__ x, int * __restrict__ x_tile, const int kbx0, const int i_max, const int stride) {
    constexpr int nwarps = mmq_get_nwarps_device();
    constexpr int warp_size = ggml_cuda_get_physical_warp_size();

#if defined(AMD_MFMA_AVAILABLE) || defined(TURING_MMA_AVAILABLE)
    int   * x_qs = (int   *)  x_tile;
    float * x_df = (float *) (x_qs + MMQ_TILE_NE_K*2);
#else
    constexpr tile_x_sizes txs = mmq_get_dp4a_tile_x_sizes(GGML_TYPE_IQ3_S, mmq_y);
    int   * x_qs = (int   *)  x_tile;
    float * x_df = (float *) (x_qs + txs.qs);
#endif // defined(AMD_MFMA_AVAILABLE) || defined(TURING_MMA_AVAILABLE)

    constexpr int threads_per_row = (MMQ_ITER_K / (4 * QR3_S)) / 2;
    constexpr int nrows = warp_size / threads_per_row;
    const int kqsx = threadIdx.x % threads_per_row;

#pragma unroll
    for (int i0 = 0; i0 < mmq_y; i0 += nwarps * nrows) {
        int i = i0 + threadIdx.y*nrows + threadIdx.x/threads_per_row;

        if (need_check) {
            i = min(i, i_max);
        }

        const block_iq3_s * bxi = (const block_iq3_s *) x + kbx0 + i*stride;

        const int2      qs_packed = make_int2(get_int_b2(bxi->qs, 2*kqsx+0), get_int_b2(bxi->qs, 2*kqsx+1));
        const uint8_t * qs        = (const uint8_t *) &qs_packed;

        const int qh = bxi->qh[kqsx];

        const int       signs_packed_32 = get_int_b2(bxi->signs, kqsx);
        const uint8_t * signs_packed_8  = (const uint8_t *) &signs_packed_32;

#pragma unroll
        for (int l = 0; l < QR3_S; ++l) {
            const int2 grid_pos = make_int2(
                iq3s_grid[qs[2*l+0] | ((qh << (8 - 2*l)) & 0x100)],
                iq3s_grid[qs[2*l+1] | ((qh << (7 - 2*l)) & 0x100)]);

            const int signs0 = __vcmpne4(((signs_packed_8[l] & 0x03) << 7) | ((signs_packed_8[l] & 0x0C) << 21), 0x00000000);
            const int signs1 = __vcmpne4(((signs_packed_8[l] & 0x30) << 3) | ((signs_packed_8[l] & 0xC0) << 17), 0x00000000);

            const int grid_l = __vsub4(grid_pos.x ^ signs0, signs0);
            const int grid_h = __vsub4(grid_pos.y ^ signs1, signs1);

#if defined(AMD_MFMA_AVAILABLE) || defined(TURING_MMA_AVAILABLE)
            x_qs[i*MMQ_MMA_TILE_X_K_Q8_0 + 8*kqsx + (2*l+0)] = grid_l;
            x_qs[i*MMQ_MMA_TILE_X_K_Q8_0 + 8*kqsx + (2*l+1)] = grid_h;
#else
            x_qs[i*(2*MMQ_TILE_NE_K + 1) + 8*kqsx + (2*l+0)] = grid_l;
            x_qs[i*(2*MMQ_TILE_NE_K + 1) + 8*kqsx + (2*l+1)] = grid_h;
#endif // defined(AMD_MFMA_AVAILABLE) || defined(TURING_MMA_AVAILABLE)
        }

        const int ls = 1 + 2*((bxi->scales[kqsx/2] >> (((2*kqsx) << 1) & 0x04)) & 0x0F);
        const float d = bxi->d;
#if defined(AMD_MFMA_AVAILABLE) || defined(TURING_MMA_AVAILABLE)
        x_df[i*MMQ_MMA_TILE_X_K_Q8_0     + kqsx] = ls*d;
#else
        x_df[i*(MMQ_TILE_NE_K/4) + i/4   + kqsx] = ls*d;
#endif // defined(AMD_MFMA_AVAILABLE) || defined(TURING_MMA_AVAILABLE)
    }
}

template <int mmq_y, bool need_check> static __device__ __forceinline__ void load_tiles_iq1_s(
    const char * __restrict__ x, int * __restrict__ x_tile, const int kbx0, const int i_max, const int stride) {
    constexpr int nwarps = mmq_get_nwarps_device();
    constexpr int warp_size = ggml_cuda_get_physical_warp_size();

#if defined(AMD_MFMA_AVAILABLE) || defined(TURING_MMA_AVAILABLE)
    int   * x_qs = (int   *)  x_tile;
    half2 * x_ds = (half2 *) (x_qs + MMQ_TILE_NE_K*2);
#else
    constexpr tile_x_sizes txs = mmq_get_dp4a_tile_x_sizes(GGML_TYPE_IQ3_S, mmq_y);
    int   * x_qs = (int   *)  x_tile;
    half2 * x_ds = (half2 *) (x_qs + txs.qs);
#endif // defined(AMD_MFMA_AVAILABLE) || defined(TURING_MMA_AVAILABLE)

    constexpr int threads_per_row = MMQ_ITER_K / (4 * QR1_S);
    constexpr int nrows = warp_size / threads_per_row;
    const int kqsx = threadIdx.x % threads_per_row;

#pragma unroll
    for (int i0 = 0; i0 < mmq_y; i0 += nwarps * nrows) {
        int i = i0 + threadIdx.y*nrows + threadIdx.x/threads_per_row;

        if (need_check) {
            i = min(i, i_max);
        }

        const block_iq1_s * bxi = (const block_iq1_s *) x + kbx0 + i*stride;

        const int       qs_packed = get_int_b2(bxi->qs, kqsx);
        const uint8_t * qs        = (const uint8_t *) &qs_packed;

        const int qh = bxi->qh[kqsx];

    #pragma unroll
        for (int l = 0; l < QR1_S/2; ++l) {
            const int grid = iq1s_grid_gpu[qs[l] | (((qh >> (3*l)) & 0x07) << 8)];

            const int grid0 = (grid >> 0) & 0x0F0F0F0F;
            const int grid1 = (grid >> 4) & 0x0F0F0F0F;

#if defined(AMD_MFMA_AVAILABLE) || defined(TURING_MMA_AVAILABLE)
            x_qs[i*MMQ_MMA_TILE_X_K_Q8_1 + 8*kqsx + (2*l+0)] = grid0;
            x_qs[i*MMQ_MMA_TILE_X_K_Q8_1 + 8*kqsx + (2*l+1)] = grid1;
#else
            x_qs[i*(2*MMQ_TILE_NE_K + 1) + 8*kqsx + (2*l+0)] = grid0;
            x_qs[i*(2*MMQ_TILE_NE_K + 1) + 8*kqsx + (2*l+1)] = grid1;
#endif // defined(AMD_MFMA_AVAILABLE) || defined(TURING_MMA_AVAILABLE)
        }

        const float  d1q   = __half2float(bxi->d) * (((qh >> 11) & 0x0E) + 1);
        const float  delta = -1.0f + IQ1S_DELTA - (qh & 0x8000) * (2.0f*IQ1S_DELTA/0x8000);

#if defined(AMD_MFMA_AVAILABLE) || defined(TURING_MMA_AVAILABLE)
        x_ds[i*MMQ_MMA_TILE_X_K_Q8_1     + kqsx] = make_half2(d1q, d1q*delta);
#else
        x_ds[i*(MMQ_TILE_NE_K/4) + i/4   + kqsx] = make_half2(d1q, d1q*delta);
#endif // defined(AMD_MFMA_AVAILABLE) || defined(TURING_MMA_AVAILABLE)
    }
}

template <int mmq_y, bool need_check> static __device__ __forceinline__ void load_tiles_iq4_xs(
    const char * __restrict__ x, int * __restrict__ x_tile, const int kbx0, const int i_max, const int stride) {
    constexpr int nwarps = mmq_get_nwarps_device();
    constexpr int warp_size = ggml_cuda_get_physical_warp_size();

#if defined(AMD_MFMA_AVAILABLE) || defined(TURING_MMA_AVAILABLE)
    int   * x_qs = (int   *)  x_tile;
    float * x_df = (float *) (x_qs + MMQ_TILE_NE_K*2);
#else
    constexpr tile_x_sizes txs = mmq_get_dp4a_tile_x_sizes(GGML_TYPE_IQ4_XS, mmq_y);
    int   * x_qs = (int   *)  x_tile;
    float * x_df = (float *) (x_qs + txs.qs);
#endif // defined(AMD_MFMA_AVAILABLE) || defined(TURING_MMA_AVAILABLE)

    constexpr int threads_per_row = MMQ_ITER_K / (4 * QR4_XS);
    constexpr int nrows = warp_size / threads_per_row;
    const int kqsx = threadIdx.x % threads_per_row;

#pragma unroll
    for (int i0 = 0; i0 < mmq_y; i0 += nrows*nwarps) {
        int i = i0 + (nrows == 1 ? threadIdx.y : threadIdx.y*nrows + threadIdx.x/threads_per_row);

        if (need_check) {
            i = min(i, i_max);
        }

        const block_iq4_xs * bxi = (const block_iq4_xs *) x + kbx0 + i*stride;

        const int aux_q4 = get_int_b4(bxi->qs, kqsx);
        const int2 v = get_int_from_table_16(aux_q4, kvalues_iq4nl);
        const int k0 = 8 * (kqsx / 4) + kqsx % 4;

#if defined(AMD_MFMA_AVAILABLE) || defined(TURING_MMA_AVAILABLE)
        x_qs[i*MMQ_MMA_TILE_X_K_Q8_0 + k0 + 0] = v.x;
        x_qs[i*MMQ_MMA_TILE_X_K_Q8_0 + k0 + 4] = v.y;
#else
        x_qs[i*(2*MMQ_TILE_NE_K + 1) + k0 + 0] = v.x;
        x_qs[i*(2*MMQ_TILE_NE_K + 1) + k0 + 4] = v.y;
#endif // defined(AMD_MFMA_AVAILABLE) || defined(TURING_MMA_AVAILABLE)
    }

    constexpr int rows_per_warp = warp_size / 8;
#pragma unroll
    for (int i0 = 0; i0 < mmq_y; i0 += nwarps * rows_per_warp) {
        int i = i0 + threadIdx.y * rows_per_warp + threadIdx.x / (MMQ_TILE_NE_K/4);

        if (need_check) {
            i = min(i, i_max);
        }

        const block_iq4_xs * bxi = (const block_iq4_xs *) x + kbx0 + i*stride;

        const float d = __half2float(bxi->d);

        const int ls = ((bxi->scales_l[(threadIdx.x % 8)/2] >> (4*(threadIdx.x % 2))) & 0x0F)
            | (((bxi->scales_h >> (2*(threadIdx.x % 8))) & 0x03) << 4);

#if defined(AMD_MFMA_AVAILABLE) || defined(TURING_MMA_AVAILABLE)
        x_df[i*MMQ_MMA_TILE_X_K_Q8_0   + threadIdx.x % 8] = d * (ls - 32);
#else
        x_df[i*(MMQ_TILE_NE_K/4) + i/4 + threadIdx.x % 8] = d * (ls - 32);
#endif // defined(AMD_MFMA_AVAILABLE) || defined(TURING_MMA_AVAILABLE)
    }
}

template<int mmq_x, int mmq_y, bool need_check>
static __device__ __forceinline__ void mmq_write_back_dp4a(
        const float * __restrict__ sum, const int32_t * __restrict__ ids_dst, float * __restrict__ dst,
        const int stride, const int i_max, const int j_max) {
    constexpr int nwarps = mmq_get_nwarps_device();
    constexpr int warp_size = ggml_cuda_get_physical_warp_size();

#pragma unroll
    for (int j0 = 0; j0 < mmq_x; j0 += nwarps) {
        const int j = j0 + threadIdx.y;

        if (j > j_max) {
            return;
        }

#pragma unroll
        for (int i0 = 0; i0 < mmq_y; i0 += warp_size) {
            const int i = i0 + threadIdx.x;

            if (need_check && i > i_max) {
                continue;
            }

            dst[ids_dst[j]*stride + i] = sum[(j0/nwarps) * (mmq_y/warp_size) + i0/warp_size];
        }
    }
}

template<ggml_type type, int mmq_x, int mmq_y, bool need_check>
static __device__ __forceinline__ void mmq_write_back_mma(
        const float * __restrict__ sum, const int * __restrict__ ids_dst, float * __restrict__ dst,
        const int stride, const int i_max, const int j_max) {

    constexpr int granularity = mmq_get_granularity_device(mmq_x);
    constexpr int nwarps = mmq_get_nwarps_device();

#if defined(AMD_MFMA_AVAILABLE)
    constexpr int tileC_IJ = mmq_get_granularity_device(0);
    typedef tile<tileC_IJ, tileC_IJ, int> tile_C;
    constexpr int rows_per_warp = granularity;
#else
    typedef tile<16, 8, int> tile_C;
    constexpr int rows_per_warp = 2 * granularity;
#endif // defined(AMD_MFMA_AVAILABLE)
    constexpr int ntx = rows_per_warp/tile_C::I; // Number of x minitiles per warp.

    const int i0 = (threadIdx.y / ntx) * (ntx*tile_C::I);
#if defined(TURING_MMA_AVAILABLE) || defined(AMD_MFMA_AVAILABLE)
    static_assert(nwarps*tile_C::I == mmq_y, "nwarps*tile_C::I != mmq_y");
#else
    GGML_UNUSED(nwarps);
#endif // defined(AMD_MFMA_AVAILABLE) || defined(TURING_MMA_AVAILABLE)

#pragma unroll
    for (int j0 = 0; j0 < mmq_x; j0 += ntx*tile_C::J) {
#pragma unroll
        for (int n = 0; n < ntx; ++n) {
#pragma unroll
            for (int l = 0; l < tile_C::ne; ++l) {
                const int j = j0 + (threadIdx.y % ntx) * tile_C::J + tile_C::get_j(l);

                if (j > j_max) {
                    continue;
                }

                const int i = i0 + n*tile_C::I + tile_C::get_i(l);

                if (need_check && i > i_max) {
                    continue;
                }

                dst[ids_dst[j]*stride + i] = sum[(j0/tile_C::J + n)*tile_C::ne + l];
            }
        }
    }
}

// -------------------------------------------------------------------------------------------------------------------------------------

template <int mmq_x, int mmq_y, bool need_check, ggml_type type>
struct mmq_type_traits;

template <int mmq_x, int mmq_y, bool need_check>
struct mmq_type_traits<mmq_x, mmq_y, need_check, GGML_TYPE_Q4_0> {
    static constexpr int              vdr          = VDR_Q4_0_Q8_1_MMQ;
    static constexpr load_tiles_mmq_t load_tiles   = load_tiles_q4_0<mmq_y, need_check>;
    static constexpr vec_dot_mmq_t    vec_dot_mma  = vec_dot_q8_0_q8_1_mma<mmq_x, mmq_y, MMQ_Q8_1_DS_LAYOUT_DS4>;
    static constexpr vec_dot_mmq_t    vec_dot_dp4a = vec_dot_q4_0_q8_1_dp4a<mmq_x, mmq_y>;
};

template <int mmq_x, int mmq_y, bool need_check>
struct mmq_type_traits<mmq_x, mmq_y, need_check, GGML_TYPE_Q4_1> {
    static constexpr int              vdr          = VDR_Q4_1_Q8_1_MMQ;
    static constexpr load_tiles_mmq_t load_tiles   = load_tiles_q4_1<mmq_y, need_check>;
    static constexpr vec_dot_mmq_t    vec_dot_mma  = vec_dot_q8_1_q8_1_mma<mmq_x, mmq_y>;
    static constexpr vec_dot_mmq_t    vec_dot_dp4a = vec_dot_q4_1_q8_1_dp4a<mmq_x, mmq_y>;
};

template <int mmq_x, int mmq_y, bool need_check>
struct mmq_type_traits<mmq_x, mmq_y, need_check, GGML_TYPE_Q5_0> {
    static constexpr int              vdr          = VDR_Q5_0_Q8_1_MMQ;
    static constexpr load_tiles_mmq_t load_tiles   = load_tiles_q5_0<mmq_y, need_check>;
    static constexpr vec_dot_mmq_t    vec_dot_mma  = vec_dot_q8_0_q8_1_mma<mmq_x, mmq_y, MMQ_Q8_1_DS_LAYOUT_D4>;
    static constexpr vec_dot_mmq_t    vec_dot_dp4a = vec_dot_q8_0_q8_1_dp4a<mmq_x, mmq_y>;
};

template <int mmq_x, int mmq_y, bool need_check>
struct mmq_type_traits<mmq_x, mmq_y, need_check, GGML_TYPE_Q5_1> {
    static constexpr int              vdr          = VDR_Q5_1_Q8_1_MMQ;
    static constexpr load_tiles_mmq_t load_tiles   = load_tiles_q5_1<mmq_y, need_check>;
    static constexpr vec_dot_mmq_t    vec_dot_mma  = vec_dot_q8_1_q8_1_mma<mmq_x, mmq_y>;
    static constexpr vec_dot_mmq_t    vec_dot_dp4a = vec_dot_q8_1_q8_1_dp4a<mmq_x, mmq_y>;
};

template <int mmq_x, int mmq_y, bool need_check>
struct mmq_type_traits<mmq_x, mmq_y, need_check, GGML_TYPE_Q8_0> {
    static constexpr int              vdr          = VDR_Q8_0_Q8_1_MMQ;
    static constexpr load_tiles_mmq_t load_tiles   = load_tiles_q8_0<mmq_y, need_check>;
    static constexpr vec_dot_mmq_t    vec_dot_mma  = vec_dot_q8_0_q8_1_mma<mmq_x, mmq_y, MMQ_Q8_1_DS_LAYOUT_D4>;
    static constexpr vec_dot_mmq_t    vec_dot_dp4a = vec_dot_q8_0_q8_1_dp4a<mmq_x, mmq_y>;
};

template <int mmq_x, int mmq_y, bool need_check>
struct mmq_type_traits<mmq_x, mmq_y, need_check, GGML_TYPE_MXFP4> {
    static constexpr int              vdr          = VDR_MXFP4_Q8_1_MMQ;
    static constexpr load_tiles_mmq_t load_tiles   = load_tiles_mxfp4<mmq_y, need_check>;
    static constexpr vec_dot_mmq_t    vec_dot_mma  = vec_dot_q8_0_q8_1_mma<mmq_x, mmq_y, MMQ_Q8_1_DS_LAYOUT_D4>;
    static constexpr vec_dot_mmq_t    vec_dot_dp4a = vec_dot_q8_0_q8_1_dp4a<mmq_x, mmq_y>;
};

template <int mmq_x, int mmq_y, bool need_check>
struct mmq_type_traits<mmq_x, mmq_y, need_check, GGML_TYPE_Q2_K> {
    static constexpr int              vdr          = VDR_Q2_K_Q8_1_MMQ;
    static constexpr load_tiles_mmq_t load_tiles   = load_tiles_q2_K<mmq_y, need_check>;
    static constexpr vec_dot_mmq_t    vec_dot_mma  = vec_dot_q2_K_q8_1_mma<mmq_x, mmq_y>;
    static constexpr vec_dot_mmq_t    vec_dot_dp4a = vec_dot_q2_K_q8_1_dp4a<mmq_x, mmq_y>;
};

template <int mmq_x, int mmq_y, bool need_check>
struct mmq_type_traits<mmq_x, mmq_y, need_check, GGML_TYPE_Q3_K> {
    static constexpr int              vdr          = VDR_Q3_K_Q8_1_MMQ;
    static constexpr load_tiles_mmq_t load_tiles   = load_tiles_q3_K<mmq_y, need_check>;
    static constexpr vec_dot_mmq_t    vec_dot_mma  = vec_dot_q8_0_16_q8_1_mma<mmq_x, mmq_y>;
    static constexpr vec_dot_mmq_t    vec_dot_dp4a = vec_dot_q3_K_q8_1_dp4a<mmq_x, mmq_y>;
};

template <int mmq_x, int mmq_y, bool need_check>
struct mmq_type_traits<mmq_x, mmq_y, need_check, GGML_TYPE_Q4_K> {
    static constexpr int              vdr          = VDR_Q4_K_Q8_1_MMQ;
    static constexpr load_tiles_mmq_t load_tiles   = load_tiles_q4_K<mmq_y, need_check>;
    static constexpr vec_dot_mmq_t    vec_dot_mma  = vec_dot_q8_1_q8_1_mma<mmq_x, mmq_y>;
    static constexpr vec_dot_mmq_t    vec_dot_dp4a = vec_dot_q4_K_q8_1_dp4a<mmq_x, mmq_y>;
};

template <int mmq_x, int mmq_y, bool need_check>
struct mmq_type_traits<mmq_x, mmq_y, need_check, GGML_TYPE_Q5_K> {
    static constexpr int              vdr          = VDR_Q5_K_Q8_1_MMQ;
    static constexpr load_tiles_mmq_t load_tiles   = load_tiles_q5_K<mmq_y, need_check>;
    static constexpr vec_dot_mmq_t    vec_dot_mma  = vec_dot_q8_1_q8_1_mma<mmq_x, mmq_y>;
    static constexpr vec_dot_mmq_t    vec_dot_dp4a = vec_dot_q5_K_q8_1_dp4a<mmq_x, mmq_y>;
};

template <int mmq_x, int mmq_y, bool need_check>
struct mmq_type_traits<mmq_x, mmq_y, need_check, GGML_TYPE_Q6_K> {
    static constexpr int              vdr          = VDR_Q6_K_Q8_1_MMQ;
    static constexpr load_tiles_mmq_t load_tiles   = load_tiles_q6_K<mmq_y, need_check>;
    static constexpr vec_dot_mmq_t    vec_dot_mma  = vec_dot_q6_K_q8_1_mma<mmq_x, mmq_y>;
    static constexpr vec_dot_mmq_t    vec_dot_dp4a = vec_dot_q6_K_q8_1_dp4a<mmq_x, mmq_y>;
};

template <int mmq_x, int mmq_y, bool need_check>
struct mmq_type_traits<mmq_x, mmq_y, need_check, GGML_TYPE_IQ2_XXS> {
    static constexpr int              vdr          = VDR_IQ2_XXS_Q8_1_MMQ;
    static constexpr load_tiles_mmq_t load_tiles   = load_tiles_iq2_xxs<mmq_y, need_check>;
    static constexpr vec_dot_mmq_t    vec_dot_mma  = vec_dot_q8_0_q8_1_mma<mmq_x, mmq_y, MMQ_Q8_1_DS_LAYOUT_D4>;
    static constexpr vec_dot_mmq_t    vec_dot_dp4a = vec_dot_q8_0_q8_1_dp4a<mmq_x, mmq_y>;
};

template <int mmq_x, int mmq_y, bool need_check>
struct mmq_type_traits<mmq_x, mmq_y, need_check, GGML_TYPE_IQ2_XS> {
    static constexpr int              vdr          = VDR_IQ2_XS_Q8_1_MMQ;
    static constexpr load_tiles_mmq_t load_tiles   = load_tiles_iq2_xs<mmq_y, need_check>;
    static constexpr vec_dot_mmq_t    vec_dot_mma  = vec_dot_q8_0_16_q8_1_mma<mmq_x, mmq_y>;
    static constexpr vec_dot_mmq_t    vec_dot_dp4a = vec_dot_q8_0_16_q8_1_dp4a<mmq_x, mmq_y>;
};

template <int mmq_x, int mmq_y, bool need_check>
struct mmq_type_traits<mmq_x, mmq_y, need_check, GGML_TYPE_IQ2_S> {
    static constexpr int              vdr          = VDR_IQ2_S_Q8_1_MMQ;
    static constexpr load_tiles_mmq_t load_tiles   = load_tiles_iq2_s<mmq_y, need_check>;
    static constexpr vec_dot_mmq_t    vec_dot_mma  = vec_dot_q8_0_16_q8_1_mma<mmq_x, mmq_y>;
    static constexpr vec_dot_mmq_t    vec_dot_dp4a = vec_dot_q8_0_16_q8_1_dp4a<mmq_x, mmq_y>;
};

template <int mmq_x, int mmq_y, bool need_check>
struct mmq_type_traits<mmq_x, mmq_y, need_check, GGML_TYPE_IQ3_XXS> {
    static constexpr int              vdr          = VDR_IQ3_XXS_Q8_1_MMQ;
    static constexpr load_tiles_mmq_t load_tiles   = load_tiles_iq3_xxs<mmq_y, need_check>;
    static constexpr vec_dot_mmq_t    vec_dot_mma  = vec_dot_q8_0_q8_1_mma<mmq_x, mmq_y, MMQ_Q8_1_DS_LAYOUT_D4>;
    static constexpr vec_dot_mmq_t    vec_dot_dp4a = vec_dot_q8_0_q8_1_dp4a<mmq_x, mmq_y>;
};

template <int mmq_x, int mmq_y, bool need_check>
struct mmq_type_traits<mmq_x, mmq_y, need_check, GGML_TYPE_IQ3_S> {
    static constexpr int              vdr          = VDR_IQ3_S_Q8_1_MMQ;
    static constexpr load_tiles_mmq_t load_tiles   = load_tiles_iq3_s<mmq_y, need_check>;
    static constexpr vec_dot_mmq_t    vec_dot_mma  = vec_dot_q8_0_q8_1_mma<mmq_x, mmq_y, MMQ_Q8_1_DS_LAYOUT_D4>;
    static constexpr vec_dot_mmq_t    vec_dot_dp4a = vec_dot_q8_0_q8_1_dp4a<mmq_x, mmq_y>;
};

template <int mmq_x, int mmq_y, bool need_check>
struct mmq_type_traits<mmq_x, mmq_y, need_check, GGML_TYPE_IQ1_S> {
    static constexpr int              vdr          = VDR_IQ1_S_Q8_1_MMQ;
    static constexpr load_tiles_mmq_t load_tiles   = load_tiles_iq1_s<mmq_y, need_check>;
    static constexpr vec_dot_mmq_t    vec_dot_mma  = vec_dot_q8_1_q8_1_mma<mmq_x, mmq_y>;
    static constexpr vec_dot_mmq_t    vec_dot_dp4a = vec_dot_q8_1_q8_1_dp4a<mmq_x, mmq_y>;
};

template <int mmq_x, int mmq_y, bool need_check>
struct mmq_type_traits<mmq_x, mmq_y, need_check, GGML_TYPE_IQ4_NL> {
    static constexpr int              vdr          = VDR_IQ4_NL_Q8_1_MMQ;
    static constexpr load_tiles_mmq_t load_tiles   = load_tiles_iq4_nl<mmq_y, need_check>;
    static constexpr vec_dot_mmq_t    vec_dot_mma  = vec_dot_q8_0_q8_1_mma<mmq_x, mmq_y, MMQ_Q8_1_DS_LAYOUT_D4>;
    static constexpr vec_dot_mmq_t    vec_dot_dp4a = vec_dot_q8_0_q8_1_dp4a<mmq_x, mmq_y>;
};

template <int mmq_x, int mmq_y, bool need_check>
struct mmq_type_traits<mmq_x, mmq_y, need_check, GGML_TYPE_IQ4_XS> {
    static constexpr int              vdr          = VDR_IQ4_XS_Q8_1_MMQ;
    static constexpr load_tiles_mmq_t load_tiles   = load_tiles_iq4_xs<mmq_y, need_check>;
    static constexpr vec_dot_mmq_t    vec_dot_mma  = vec_dot_q8_0_q8_1_mma<mmq_x, mmq_y, MMQ_Q8_1_DS_LAYOUT_D4>;
    static constexpr vec_dot_mmq_t    vec_dot_dp4a = vec_dot_q8_0_q8_1_dp4a<mmq_x, mmq_y>;
};

template <ggml_type type, int mmq_x, bool need_check, bool fixup>
static __device__ __forceinline__ void mul_mat_q_process_tile(
        const char * __restrict__ x, const int offset_x, const int * __restrict__ y,
        const int * __restrict__ ids_dst, float * __restrict__ dst, float * __restrict__ tmp_fixup,
        const int stride_row_x, const int ncols_y, const int stride_col_dst,
        const int tile_x_max_i, const int tile_y_max_j, const int kb0_start, const int kb0_stop) {

    constexpr int              warp_size  = ggml_cuda_get_physical_warp_size();
    constexpr int              nwarps     = mmq_get_nwarps_device();
    constexpr int              qk         = ggml_cuda_type_traits<type>::qk;
    constexpr int              mmq_y      = get_mmq_y_device();
    constexpr load_tiles_mmq_t load_tiles = mmq_type_traits<mmq_x, mmq_y, need_check, type>::load_tiles;

    extern __shared__ int data_mul_mat_q[];
    int * tile_y = data_mul_mat_q + mmq_x;
    int * tile_x = tile_y + GGML_PAD(mmq_x*MMQ_TILE_Y_K, nwarps*warp_size);

#if defined(AMD_MFMA_AVAILABLE) || defined(TURING_MMA_AVAILABLE)
    constexpr vec_dot_mmq_t    vec_dot    = mmq_type_traits<mmq_x, mmq_y, need_check, type>::vec_dot_mma;
    constexpr mmq_write_back_t write_back = mmq_write_back_mma<type, mmq_x, mmq_y, need_check>;
#else
    constexpr vec_dot_mmq_t    vec_dot    = mmq_type_traits<mmq_x, mmq_y, need_check, type>::vec_dot_dp4a;
    constexpr mmq_write_back_t write_back = mmq_write_back_dp4a<mmq_x, mmq_y, need_check>;
#endif // defined(AMD_MFMA_AVAILABLE) || defined(TURING_MMA_AVAILABLE)

    constexpr int blocks_per_iter = MMQ_ITER_K / qk;

    float sum[mmq_x*mmq_y / (nwarps*warp_size)] = {0.0f};

    for (int kb0 = kb0_start; kb0 < kb0_stop; kb0 += blocks_per_iter) {
        load_tiles(x, tile_x, offset_x + kb0, tile_x_max_i, stride_row_x);

        {
            const int * by0 = y + ncols_y*(kb0*(qk*sizeof(block_q8_1_mmq) / (4*QK8_1*sizeof(int))) + 0*sizeof(block_q8_1_mmq)/sizeof(int));
#pragma unroll
            for (int l0 = 0; l0 < mmq_x*MMQ_TILE_Y_K; l0 += nwarps*warp_size) {
                int l = l0 + threadIdx.y*warp_size + threadIdx.x;

                tile_y[l] = by0[l];
            }
        }

        __syncthreads();

        vec_dot(tile_x, tile_y, sum, 0);

        __syncthreads();

        {
            const int * by0 = y + ncols_y*(kb0*(qk*sizeof(block_q8_1_mmq) / (4*QK8_1*sizeof(int))) + 1*sizeof(block_q8_1_mmq)/sizeof(int));
#pragma unroll
            for (int l0 = 0; l0 < mmq_x*MMQ_TILE_Y_K; l0 += nwarps*warp_size) {
                int l = l0 + threadIdx.y*warp_size + threadIdx.x;

                tile_y[l] = by0[l];
            }
        }

        __syncthreads();

        vec_dot(tile_x, tile_y, sum, MMQ_TILE_NE_K);

        __syncthreads();
    }

    if (fixup) {
        write_back(sum, ids_dst, tmp_fixup + blockIdx.x*(mmq_x*mmq_y), mmq_y, mmq_y, mmq_x);
    } else {
        write_back(sum, ids_dst, dst, stride_col_dst, tile_x_max_i, tile_y_max_j);
    }
}


// The mul_mat_q kernel implements "stream-k" work partitioning as described in https://arxiv.org/abs/2301.03598

template <ggml_type type, int mmq_x, bool need_check>
#if defined(GGML_USE_HIP)
#if defined(RDNA4) || defined(RDNA3) || defined(RDNA2) || defined(CDNA) || defined(GCN)
    __launch_bounds__(ggml_cuda_get_physical_warp_size()*mmq_get_nwarps_device(), 2)
#endif // defined(RDNA4) || defined(RDNA3) || defined(RDNA2) || defined(CDNA) || defined(GCN)
#else
#if __CUDA_ARCH__ >= GGML_CUDA_CC_VOLTA
    __launch_bounds__(ggml_cuda_get_physical_warp_size()*mmq_get_nwarps_device(), 1)
#else
    __launch_bounds__(ggml_cuda_get_physical_warp_size()*mmq_get_nwarps_device(), 2)
#endif // __CUDA_ARCH__ >= GGML_CUDA_CC_VOLTA
#endif // defined(GGML_USE_HIP)
static __global__ void mul_mat_q(
        const char * __restrict__ x, const int * __restrict__ y, const int32_t * __restrict__ ids_dst,
        const int32_t * __restrict__ expert_bounds, float * __restrict__ dst, float * __restrict__ tmp_fixup,
        const int ncols_x, const int nrows_x, const int ncols_dst, const int stride_row_x, const int ncols_y, const int stride_col_dst,
        const int channel_ratio, const int nchannels_y, const int stride_channel_x, const int stride_channel_y, const int stride_channel_dst,
        const int sample_ratio, const int nsamples_y, const int stride_sample_x, const int stride_sample_y, const int stride_sample_dst,
        const int ncols_max) {

    // Skip unused template specializations for faster compilation:
    if (mmq_x > get_mmq_x_max_device() || mmq_x % mmq_get_granularity_device(mmq_x) != 0) {
        NO_DEVICE_CODE;
        return;
    }

    constexpr int nwarps = mmq_get_nwarps_device();
    constexpr int warp_size = ggml_cuda_get_physical_warp_size();

    constexpr int qk    = ggml_cuda_type_traits<type>::qk;
    constexpr int mmq_y = get_mmq_y_device();

    const int ntx = (ncols_max + mmq_x - 1) / mmq_x; // Number of tiles x
    const int nty = (nrows_x   + mmq_y - 1) / mmq_y; // Number of tiles y

    // Initialize the ids for writing back data with just the index.
    // For regular matrix multiplications this is never changed.
    // For MoE the correct indices are loaded from ids_dst.
    extern __shared__ int ids_dst_shared[]; // Stored at beginning of shared memory.
#pragma unroll
    for (int j0 = 0; j0 < mmq_x; j0 += nwarps*warp_size) {
        const int j = j0 + threadIdx.y*warp_size + threadIdx.x;

        if (j0 + nwarps*warp_size > mmq_x && j >= mmq_x) {
            break;
        }

        ids_dst_shared[j] = j;
    }
    __syncthreads();

    // On non-CDNA AMD or old CUDA the performance with stream-k was worse, use conventional tiling instead:
#if (defined(GGML_USE_HIP) && !defined(CDNA)) || __CUDA_ARCH__ < GGML_CUDA_CC_VOLTA
    {
        const int wt = blockIdx.z / nchannels_y;
        const int zt = blockIdx.z - wt*nchannels_y;
        const int jt = blockIdx.y;
        const int it = blockIdx.x;

        // Defaults for regular matrix multiplication:
        int col_low    = 0;
        int col_high   = ncols_dst;
        int col_diff   = ncols_dst;
        int offset_y   = wt*stride_sample_y   + zt*stride_channel_y;
        int offset_dst = wt*stride_sample_dst + zt*stride_channel_dst + jt*mmq_x*stride_col_dst;

        if (ids_dst) {
            col_low  = expert_bounds[zt + 0];
            col_high = expert_bounds[zt + 1];
            col_diff = col_high - col_low;

            offset_y   = 0;
            offset_dst = 0;

            if (jt*mmq_x >= col_diff) {
                return;
            }

            // __syncthreads(); // There is no previous tile that could cause a race condition.
#pragma unroll
            for (int j0 = 0; j0 < mmq_x; j0 += nwarps*warp_size) {
                const int j = j0 + threadIdx.y*warp_size + threadIdx.x;

                if (j0 + nwarps*warp_size > mmq_x && j >= mmq_x) {
                    break;
                }

                ids_dst_shared[j] = ids_dst[col_low + jt*mmq_x + j];
            }
            __syncthreads();
        }

        offset_y   += (col_low + jt*mmq_x)*(sizeof(block_q8_1_mmq)/sizeof(int));
        offset_dst += it*mmq_y;

        const int tile_x_max_i = nrows_x  - it*mmq_y - 1;
        const int tile_y_max_j = col_diff - jt*mmq_x - 1;

        const int offset_x = (wt/sample_ratio)*stride_sample_x + (zt/channel_ratio)*stride_channel_x + it*mmq_y*stride_row_x;

        constexpr bool fixup = false;
        mul_mat_q_process_tile<type, mmq_x, need_check, fixup>
            (x, offset_x, y + offset_y, ids_dst_shared, dst + offset_dst, tmp_fixup, stride_row_x, ncols_y, stride_col_dst,
             tile_x_max_i, tile_y_max_j, 0, ncols_x/qk);
        return;
    }
#endif // (defined(GGML_USE_HIP) && !defined(CDNA3)) || __CUDA_ARCH__ < GGML_CUDA_CC_VOLTA

    const     int64_t blocks_per_ne00 = ncols_x / qk;
    constexpr int     blocks_per_iter = MMQ_ITER_K / qk;

    // kbc == k block continuous, current index in continuous ijk space.
    int64_t kbc      = (int64_t) blockIdx.x     *nsamples_y*nchannels_y*ntx*nty*blocks_per_ne00 / gridDim.x;
    int64_t kbc_stop = (int64_t)(blockIdx.x + 1)*nsamples_y*nchannels_y*ntx*nty*blocks_per_ne00 / gridDim.x;

    kbc      -= (kbc      % blocks_per_ne00) % blocks_per_iter;
    kbc_stop -= (kbc_stop % blocks_per_ne00) % blocks_per_iter;

    // kb0 == k index when doing the matrix multiplication for an output tile.
    int kb0_start = kbc % blocks_per_ne00;
    int kb0_stop  = min(blocks_per_ne00, kb0_start + kbc_stop - kbc);
    while (kbc < kbc_stop && kb0_stop == blocks_per_ne00) {
        int tmp = kbc;
        const int it = tmp / (nsamples_y*nchannels_y*ntx*blocks_per_ne00);
        tmp -= it * (nsamples_y*nchannels_y*ntx*blocks_per_ne00);
        const int wt = tmp / (nchannels_y*ntx*blocks_per_ne00);
        tmp -= wt * (nchannels_y*ntx*blocks_per_ne00);
        const int zt = tmp / (ntx*blocks_per_ne00);
        tmp -= zt * (ntx*blocks_per_ne00);
        const int jt = tmp / blocks_per_ne00;

        // Defaults for regular matrix multiplication:
        int col_low    = 0;
        int col_high   = ncols_dst;
        int col_diff   = ncols_dst;
        int offset_y   = wt*stride_sample_y   + zt*stride_channel_y;
        int offset_dst = wt*stride_sample_dst + zt*stride_channel_dst + jt*mmq_x*stride_col_dst;

        if (ids_dst) {
            col_low  = expert_bounds[zt + 0];
            col_high = expert_bounds[zt + 1];
            col_diff = col_high - col_low;

            offset_y   = 0;
            offset_dst = 0;

            if (jt*mmq_x >= col_diff) {
                kbc += blocks_per_ne00;
                kbc -= kbc % blocks_per_ne00;

                kb0_start = 0;
                kb0_stop  = min(blocks_per_ne00, kbc_stop - kbc);

                continue;
            }

            __syncthreads();
#pragma unroll
            for (int j0 = 0; j0 < mmq_x; j0 += nwarps*warp_size) {
                const int j = j0 + threadIdx.y*warp_size + threadIdx.x;

                if (j0 + nwarps*warp_size > mmq_x && j >= mmq_x) {
                    break;
                }

                ids_dst_shared[j] = ids_dst[col_low + jt*mmq_x + j];
            }
            __syncthreads();
        }

        offset_y   += (col_low + jt*mmq_x)*(sizeof(block_q8_1_mmq)/sizeof(int));
        offset_dst += it*mmq_y;

        const int tile_x_max_i = nrows_x  - it*mmq_y - 1;
        const int tile_y_max_j = col_diff - jt*mmq_x - 1;

        const int offset_x = (wt/sample_ratio)*stride_sample_x + (zt/channel_ratio)*stride_channel_x + it*mmq_y*stride_row_x;

        constexpr bool fixup = false; // All but (potentially) the last iterations write their data to dst rather than the fixup buffer.
        mul_mat_q_process_tile<type, mmq_x, need_check, fixup>
            (x, offset_x, y + offset_y, ids_dst_shared, dst + offset_dst, tmp_fixup, stride_row_x, ncols_y, stride_col_dst,
             tile_x_max_i, tile_y_max_j, kb0_start, kb0_stop);

        kbc += blocks_per_ne00;
        kbc -= kbc % blocks_per_ne00;

        kb0_start = 0;
        kb0_stop  = min(blocks_per_ne00, kbc_stop - kbc);
    }

    if (kbc >= kbc_stop) {
        return;
    }

    int tmp = kbc;
    const int it = tmp / (nsamples_y*nchannels_y*ntx*blocks_per_ne00);
    tmp -= it * (nsamples_y*nchannels_y*ntx*blocks_per_ne00);
    const int wt = tmp / (nchannels_y*ntx*blocks_per_ne00);
    tmp -= wt * (nchannels_y*ntx*blocks_per_ne00);
    const int zt = tmp / (ntx*blocks_per_ne00);
    tmp -= zt * (ntx*blocks_per_ne00);
    const int jt = tmp / blocks_per_ne00;

    // Defaults for regular matrix multiplication:
    int col_low    = 0;
    int col_high   = ncols_dst;
    int col_diff   = ncols_dst;
    int offset_y   = wt*stride_sample_y   + zt*stride_channel_y;
    int offset_dst = wt*stride_sample_dst + zt*stride_channel_dst + jt*mmq_x*stride_col_dst;

    if (ids_dst) {
        col_low  = expert_bounds[zt + 0];
        col_high = expert_bounds[zt + 1];
        col_diff = col_high - col_low;

        offset_y   = 0;
        offset_dst = 0;

        if (jt*mmq_x >= col_diff) {
            return;
        }

        // The memory layout for the fixup buffer is always contiguous, therefore reset ids:
        __syncthreads();
#pragma unroll
        for (int j0 = 0; j0 < mmq_x; j0 += nwarps*warp_size) {
            const int j = j0 + threadIdx.y*warp_size + threadIdx.x;

            if (j0 + nwarps*warp_size > mmq_x && j >= mmq_x) {
                break;
            }

            ids_dst_shared[j] = j;
        }
        __syncthreads();
    }

    offset_y   += (col_low + jt*mmq_x)*(sizeof(block_q8_1_mmq)/sizeof(int));
    offset_dst += it*mmq_y;

    const int tile_x_max_i = nrows_x  - it*mmq_y - 1;
    const int tile_y_max_j = col_diff - jt*mmq_x - 1;

    const int offset_x = (wt/sample_ratio)*stride_sample_x + (zt/channel_ratio)*stride_channel_x + it*mmq_y*stride_row_x;

    constexpr bool fixup = true; // Last index writes its data to fixup buffer to avoid data races with other blocks.
    mul_mat_q_process_tile<type, mmq_x, need_check, fixup>
        (x, offset_x, y + offset_y, ids_dst_shared, dst + offset_dst, tmp_fixup, stride_row_x, ncols_y, stride_col_dst,
         tile_x_max_i, tile_y_max_j, kb0_start, kb0_stop);
}


template <ggml_type type, int mmq_x, bool need_check>
static __global__ void mul_mat_q_stream_k_fixup(
        const int32_t * ids_dst, const int32_t * expert_bounds, float * __restrict__ dst, const float * __restrict__ tmp_last_tile,
        const int ncols_x, const int nrows_x, const int ncols_dst, const int stride_col_dst,
        const int nchannels_y, const int stride_channel_dst, const int nsamples_y, const int stride_sample_dst,
        const int ncols_max) {
    constexpr int     mmq_y           = get_mmq_y_device();
    constexpr int     qk              = ggml_cuda_type_traits<type>::qk;
    constexpr int     blocks_per_iter = MMQ_ITER_K / qk;
    const     int64_t blocks_per_ne00 = ncols_x / qk;

    constexpr int nwarps = mmq_get_nwarps_device();
    constexpr int warp_size = ggml_cuda_get_physical_warp_size();

    float sum[mmq_x*mmq_y / (nwarps*warp_size)] = {0.0f};

    const int ntx  = (ncols_max + mmq_x - 1) / mmq_x;
    const int nty  = (nrows_x   + mmq_y - 1) / mmq_y;

    const int bidx0 = blockIdx.x;

    // kbc == k block continuous, current index in continuous ijk space.
    int64_t kbc0      = (int64_t) bidx0     *nsamples_y*nchannels_y*ntx*nty*blocks_per_ne00 / gridDim.x;
    int64_t kbc0_stop = (int64_t)(bidx0 + 1)*nsamples_y*nchannels_y*ntx*nty*blocks_per_ne00 / gridDim.x;

    kbc0      -= (kbc0      % blocks_per_ne00) % blocks_per_iter;
    kbc0_stop -= (kbc0_stop % blocks_per_ne00) % blocks_per_iter;

    const bool did_not_have_any_data   = kbc0 == kbc0_stop;
    const bool wrote_beginning_of_tile = kbc0 % blocks_per_ne00 == 0;
    const bool did_not_write_last      = kbc0/blocks_per_ne00 == kbc0_stop/blocks_per_ne00 && kbc0_stop % blocks_per_ne00 != 0;
    if (did_not_have_any_data || wrote_beginning_of_tile || did_not_write_last) {
        return;
    }

    bool any_fixup = false;

    // Iterate over previous blocks and sum up partial sums written to fixup buffer.
    // All CUDA blocks that get here must have a previous block that needs a fixup.
    int64_t bidx = bidx0 - 1;
    int64_t kbc_stop = kbc0;
    while(true) {
        int64_t kbc = bidx*nsamples_y*nchannels_y*ntx*nty*blocks_per_ne00 / gridDim.x;
        kbc -= (kbc % blocks_per_ne00) % blocks_per_iter;

        if (kbc == kbc_stop) { // Did not have any data.
            bidx--;
            kbc_stop = kbc;
            continue;
        }

        any_fixup = true;

#pragma unroll
        for (int j0 = 0; j0 < mmq_x; j0 += nwarps) {
            const int j = j0 + threadIdx.y;

#pragma unroll
            for (int i0 = 0; i0 < mmq_y; i0 += warp_size) {
                const int i = i0 + threadIdx.x;

                sum[(j0/nwarps) * (mmq_y/warp_size) + i0/warp_size] += tmp_last_tile[bidx*(mmq_x*mmq_y) + j*mmq_y + i];
            }
        }

        // If this block started in a previous tile we are done and don't need to combine additional partial results.
        if (kbc % blocks_per_ne00 == 0 || kbc/blocks_per_ne00 < kbc0/blocks_per_ne00) {
            break;
        }
        bidx--;
        kbc_stop = kbc;
    }

    if (!any_fixup) {
        return;
    }

    int tmp = kbc0;
    const int it = tmp / (nsamples_y*nchannels_y*ntx*blocks_per_ne00);
    tmp -= it * (nsamples_y*nchannels_y*ntx*blocks_per_ne00);
    const int wt = tmp / (nchannels_y*ntx*blocks_per_ne00);
    tmp -= wt * (nchannels_y*ntx*blocks_per_ne00);
    const int zt = tmp / (ntx*blocks_per_ne00);
    tmp -= zt * (ntx*blocks_per_ne00);
    const int jt = tmp / blocks_per_ne00;

    if (!ids_dst) {
        const int offset_dst = wt*stride_sample_dst + zt*stride_channel_dst + jt*mmq_x*stride_col_dst + it*mmq_y;
        dst += offset_dst;

        const int i_max = nrows_x   - it*mmq_y - 1;
        const int j_max = ncols_dst - jt*mmq_x - 1;

#pragma unroll
        for (int j0 = 0; j0 < mmq_x; j0 += nwarps) {
            const int j = j0 + threadIdx.y;

            if (j > j_max) {
                return;
            }

#pragma unroll
            for (int i0 = 0; i0 < mmq_y; i0 += warp_size) {
                const int i = i0 + threadIdx.x;

                if (need_check && i > i_max) {
                    continue;
                }

                dst[j*stride_col_dst + i] += sum[(j0/nwarps) * (mmq_y/warp_size) + i0/warp_size];
            }
        }
        return;
    }

    __shared__ int ids_dst_shared[mmq_x];
    const int col_low  = expert_bounds[zt + 0];
    const int col_high = expert_bounds[zt + 1];
    const int col_diff = col_high - col_low;

    for (int j = threadIdx.y*warp_size + threadIdx.x; j < mmq_x; j += nwarps*warp_size) {
        ids_dst_shared[j] = ids_dst[col_low + j];
    }
    __syncthreads();

    const int offset_dst = it*mmq_y;
    dst += offset_dst;

    const int i_max = nrows_x  - it*mmq_y - 1;
    const int j_max = col_diff - jt*mmq_x - 1;

#pragma unroll
    for (int j0 = 0; j0 < mmq_x; j0 += nwarps) {
        const int j = j0 + threadIdx.y;

        if (j > j_max) {
            return;
        }

#pragma unroll
        for (int i0 = 0; i0 < mmq_y; i0 += warp_size) {
            const int i = i0 + threadIdx.x;

            if (need_check && i > i_max) {
                continue;
            }

            dst[ids_dst_shared[j]*stride_col_dst + i] += sum[(j0/nwarps) * (mmq_y/warp_size) + i0/warp_size];
        }
    }
}

struct mmq_args {
    const char * x; ggml_type type_x; const int * y; const int32_t * ids_dst; const int32_t * expert_bounds; float * dst;
    int64_t ncols_x; int64_t nrows_x; int64_t ncols_dst; int64_t stride_row_x; int64_t ncols_y; int64_t nrows_dst;
    int64_t nchannels_x; int64_t nchannels_y; int64_t stride_channel_x; int64_t stride_channel_y; int64_t stride_channel_dst;
    int64_t nsamples_x; int64_t nsamples_y; int64_t stride_sample_x; int64_t stride_sample_y; int64_t stride_sample_dst;
    bool use_stream_k; int64_t ncols_max;
};

template<ggml_type type>
static size_t mmq_get_nbytes_shared(const int mmq_x, const int mmq_y, const int cc, const int warp_size, const int nwarps) {
    const tile_x_sizes txs = mmq_get_dp4a_tile_x_sizes(type, mmq_y);
    const int mmq_tile_x_k = mmq_get_mma_tile_x_k(type);
    const size_t nbs_ids = mmq_x*sizeof(int);
    const size_t nbs_x = (turing_mma_available(cc) || amd_mfma_available(cc)) ? mmq_y*mmq_tile_x_k*sizeof(int) : txs.qs*sizeof(int) + txs.dm*sizeof(half2) + txs.sc*sizeof(int);
    const size_t nbs_y = mmq_x*sizeof(block_q8_1_mmq);
    return nbs_ids + nbs_x + GGML_PAD(nbs_y, nwarps*warp_size*sizeof(int));
}

template <ggml_type type, int mmq_x>
static void launch_mul_mat_q(ggml_backend_cuda_context & ctx, const mmq_args & args, cudaStream_t stream) {
    const int id = ggml_cuda_get_device();
    const int cc = ggml_cuda_info().devices[id].cc;
    const int nsm = ggml_cuda_info().devices[id].nsm;
    const int warp_size = ggml_cuda_info().devices[id].warp_size;
    const int nwarps = mmq_get_nwarps_host(cc, warp_size);
    const int mmq_y = get_mmq_y_host(cc);

    const dim3 block_dims(warp_size, nwarps, 1);

    const int nbytes_shared = mmq_get_nbytes_shared<type>(mmq_x, mmq_y, cc, warp_size, nwarps);

    CUDA_SET_SHARED_MEMORY_LIMIT((mul_mat_q<type, mmq_x, false>), nbytes_shared);
    CUDA_SET_SHARED_MEMORY_LIMIT((mul_mat_q<type, mmq_x,  true>), nbytes_shared);

    const int nty  = (args.nrows_x   + mmq_y - 1) / mmq_y;
    const int ntx  = (args.ncols_max + mmq_x - 1) / mmq_x;
    const int ntzw = args.nchannels_y * args.nsamples_y;
    const dim3 block_nums_xy_tiling(nty, ntx, ntzw);

    GGML_ASSERT(args.nchannels_y % args.nchannels_x == 0);
    GGML_ASSERT(args.nsamples_y  % args.nsamples_x  == 0);
    const int channel_ratio = args.nchannels_y / args.nchannels_x;
    const int sample_ratio  = args.nsamples_y  / args.nsamples_x;

    if (!args.use_stream_k) {
        if (args.nrows_x % mmq_y == 0) {
            constexpr bool need_check = false;
            mul_mat_q<type, mmq_x, need_check><<<block_nums_xy_tiling, block_dims, nbytes_shared, stream>>>
                (args.x, args.y, args.ids_dst, args.expert_bounds, args.dst, nullptr,
                 args.ncols_x, args.nrows_x, args.ncols_dst, args.stride_row_x, args.ncols_y, args.nrows_dst,
                 channel_ratio, args.nchannels_y, args.stride_channel_x, args.stride_channel_y, args.stride_channel_dst,
                 sample_ratio, args.nsamples_y, args.stride_sample_x, args.stride_sample_y, args.stride_sample_dst,
                 args.ncols_max);
        } else {
            constexpr bool need_check = true;
            mul_mat_q<type, mmq_x, need_check><<<block_nums_xy_tiling, block_dims, nbytes_shared, stream>>>
                (args.x, args.y, args.ids_dst, args.expert_bounds, args.dst, nullptr,
                 args.ncols_x, args.nrows_x, args.ncols_dst, args.stride_row_x, args.ncols_y, args.nrows_dst,
                 channel_ratio, args.nchannels_y, args.stride_channel_x, args.stride_channel_y, args.stride_channel_dst,
                 sample_ratio, args.nsamples_y, args.stride_sample_x, args.stride_sample_y, args.stride_sample_dst,
                 args.ncols_max);
        }
        return;
    }

    const dim3 block_nums_stream_k(nsm, 1, 1);
    const bool fixup_needed = ntx*nty*ntzw % nsm != 0;

    ggml_cuda_pool & pool = ctx.pool(id);
    ggml_cuda_pool_alloc<float> tmp_fixup(pool);
    if (fixup_needed) {
        tmp_fixup.alloc(block_nums_stream_k.x * mmq_x*mmq_y);
    }

    if (args.nrows_x % mmq_y == 0) {
        constexpr bool need_check = false;
        mul_mat_q<type, mmq_x, need_check><<<block_nums_stream_k, block_dims, nbytes_shared, stream>>>
            (args.x, args.y, args.ids_dst, args.expert_bounds, args.dst, tmp_fixup.ptr,
             args.ncols_x, args.nrows_x, args.ncols_dst, args.stride_row_x, args.ncols_y, args.nrows_dst,
             channel_ratio, args.nchannels_y, args.stride_channel_x, args.stride_channel_y, args.stride_channel_dst,
             sample_ratio, args.nsamples_y, args.stride_sample_x, args.stride_sample_y, args.stride_sample_dst,
             args.ncols_max);

        if (!fixup_needed) {
            return;
        }

        mul_mat_q_stream_k_fixup<type, mmq_x, need_check><<<block_nums_stream_k, block_dims, 0, stream>>>
            (args.ids_dst, args.expert_bounds, args.dst, tmp_fixup.ptr, args.ncols_x, args.nrows_x, args.ncols_dst,
             args.nrows_dst, args.nchannels_y, args.stride_channel_dst, args.nsamples_y, args.stride_sample_dst,
             args.ncols_max);
    } else {
        constexpr bool need_check = true;
        mul_mat_q<type, mmq_x, need_check><<<block_nums_stream_k, block_dims, nbytes_shared, stream>>>
            (args.x, args.y, args.ids_dst, args.expert_bounds, args.dst, tmp_fixup.ptr,
             args.ncols_x, args.nrows_x, args.ncols_dst, args.stride_row_x, args.ncols_y, args.nrows_dst,
             channel_ratio, args.nchannels_y, args.stride_channel_x, args.stride_channel_y, args.stride_channel_dst,
             sample_ratio, args.nsamples_y, args.stride_sample_x, args.stride_sample_y, args.stride_sample_dst,
             args.ncols_max);

        if (!fixup_needed) {
            return;
        }

        mul_mat_q_stream_k_fixup<type, mmq_x, need_check><<<block_nums_stream_k, block_dims, 0, stream>>>
            (args.ids_dst, args.expert_bounds, args.dst, tmp_fixup.ptr, args.ncols_x, args.nrows_x, args.ncols_dst,
             args.nrows_dst, args.nchannels_y, args.stride_channel_dst, args.nsamples_y, args.stride_sample_dst,
             args.ncols_max);
    }
}

template <ggml_type type>
void mul_mat_q_case(ggml_backend_cuda_context & ctx, const mmq_args & args, cudaStream_t stream) {
    const int    id     = ggml_cuda_get_device();
    const int    cc     = ggml_cuda_info().devices[id].cc;
    const size_t smpbo  = ggml_cuda_info().devices[id].smpbo;
    const int warp_size = ggml_cuda_info().devices[id].warp_size;
    const int nwarps    = mmq_get_nwarps_host(cc, warp_size);

    const int mmq_x_max = get_mmq_x_max_host(cc);
    const int mmq_y = get_mmq_y_host(cc);

    int mmq_x_best  = 0;
    int ntiles_x_best = INT_MAX;

    for (int mmq_x = 8; mmq_x <= mmq_x_max && ntiles_x_best > 1; mmq_x += 8) {
        const int granularity = mmq_get_granularity_host(mmq_x, cc);

        if (mmq_x % granularity != 0 || mmq_get_nbytes_shared<type>(mmq_x, mmq_y, cc, warp_size, nwarps) > smpbo) {
            continue;
        }

        const int ntiles_x = (args.ncols_max + mmq_x - 1) / mmq_x;

        if (ntiles_x < ntiles_x_best) {
            mmq_x_best = mmq_x;
            ntiles_x_best = ntiles_x;
        }
    }

    switch (mmq_x_best) {
        case   8:
            launch_mul_mat_q<type,   8>(ctx, args, stream);
            break;
        case  16:
            launch_mul_mat_q<type,  16>(ctx, args, stream);
            break;
        case  24:
            launch_mul_mat_q<type,  24>(ctx, args, stream);
            break;
        case  32:
            launch_mul_mat_q<type,  32>(ctx, args, stream);
            break;
        case  40:
            launch_mul_mat_q<type,  40>(ctx, args, stream);
            break;
        case  48:
            launch_mul_mat_q<type,  48>(ctx, args, stream);
            break;
        case  56:
            launch_mul_mat_q<type,  56>(ctx, args, stream);
            break;
        case  64:
            launch_mul_mat_q<type,  64>(ctx, args, stream);
            break;
        case  72:
            launch_mul_mat_q<type,  72>(ctx, args, stream);
            break;
        case  80:
            launch_mul_mat_q<type,  80>(ctx, args, stream);
            break;
        case  88:
            launch_mul_mat_q<type,  88>(ctx, args, stream);
            break;
        case  96:
            launch_mul_mat_q<type,  96>(ctx, args, stream);
            break;
        case 104:
            launch_mul_mat_q<type, 104>(ctx, args, stream);
            break;
        case 112:
            launch_mul_mat_q<type, 112>(ctx, args, stream);
            break;
        case 120:
            launch_mul_mat_q<type, 120>(ctx, args, stream);
            break;
        case 128:
            launch_mul_mat_q<type, 128>(ctx, args, stream);
            break;
        default:
            fprintf(stderr, "mmq_x_best=%d\n", mmq_x_best);
            GGML_ABORT("fatal error");
            break;
    }
}

#define DECL_MMQ_CASE(type)                                                        \
    template void mul_mat_q_case<type>(ggml_backend_cuda_context & ctx, const mmq_args & args, cudaStream_t stream) \

extern DECL_MMQ_CASE(GGML_TYPE_Q4_0);
extern DECL_MMQ_CASE(GGML_TYPE_Q4_1);
extern DECL_MMQ_CASE(GGML_TYPE_Q5_0);
extern DECL_MMQ_CASE(GGML_TYPE_Q5_1);
extern DECL_MMQ_CASE(GGML_TYPE_Q8_0);
extern DECL_MMQ_CASE(GGML_TYPE_MXFP4);
extern DECL_MMQ_CASE(GGML_TYPE_Q2_K);
extern DECL_MMQ_CASE(GGML_TYPE_Q3_K);
extern DECL_MMQ_CASE(GGML_TYPE_Q4_K);
extern DECL_MMQ_CASE(GGML_TYPE_Q5_K);
extern DECL_MMQ_CASE(GGML_TYPE_Q6_K);
extern DECL_MMQ_CASE(GGML_TYPE_IQ2_XXS);
extern DECL_MMQ_CASE(GGML_TYPE_IQ2_XS);
extern DECL_MMQ_CASE(GGML_TYPE_IQ2_S);
extern DECL_MMQ_CASE(GGML_TYPE_IQ3_XXS);
extern DECL_MMQ_CASE(GGML_TYPE_IQ3_S);
extern DECL_MMQ_CASE(GGML_TYPE_IQ1_S);
extern DECL_MMQ_CASE(GGML_TYPE_IQ4_NL);
extern DECL_MMQ_CASE(GGML_TYPE_IQ4_XS);

// -------------------------------------------------------------------------------------------------------------------------

void ggml_cuda_mul_mat_q(
        ggml_backend_cuda_context & ctx, const ggml_tensor * src0, const ggml_tensor * src1, const ggml_tensor * ids, ggml_tensor * dst);

void ggml_cuda_op_mul_mat_q(
    ggml_backend_cuda_context & ctx,
    const ggml_tensor * src0, const ggml_tensor * src1, ggml_tensor * dst, const char * src0_dd_i, const float * src1_ddf_i,
    const char * src1_ddq_i, float * dst_dd_i, const int64_t row_low, const int64_t row_high, const int64_t src1_ncols,
    const int64_t src1_padded_row_size, cudaStream_t stream);

bool ggml_cuda_should_use_mmq(enum ggml_type type, int cc, int64_t ne11);
