gridwise_gemm_multiple_d_xdl_cshuffle.hpp Source File

gridwise_gemm_multiple_d_xdl_cshuffle.hpp Source File#

Composable Kernel: gridwise_gemm_multiple_d_xdl_cshuffle.hpp Source File
// SPDX-License-Identifier: MIT
// Copyright (c) 2018-2025, Advanced Micro Devices, Inc. All rights reserved.
 
#pragma once
 
#include "ck/utility/common_header.hpp"
#include "ck/tensor_description/multi_index_transform_helper.hpp"
#include "ck/tensor_description/tensor_descriptor.hpp"
#include "ck/tensor_description/tensor_descriptor_helper.hpp"
#include "ck/tensor_operation/gpu/grid/block_to_ctile_map.hpp"
#include "ck/tensor_operation/gpu/grid/gridwise_gemm_pipeline_selector.hpp"
#include "ck/tensor_operation/gpu/block/blockwise_gemm_xdlops.hpp"
#include "ck/tensor_operation/gpu/block/thread_group_tensor_slice_transfer_v4r1.hpp"
#include "ck/tensor_operation/gpu/block/thread_group_tensor_slice_transfer_v7.hpp"
#include "ck/tensor_operation/gpu/thread/threadwise_tensor_slice_transfer.hpp"
#include "ck/tensor_operation/gpu/element/element_wise_operation.hpp"
 
#include "ck/tensor_operation/gpu/device/matrix_padder.hpp"
#include "ck/tensor_operation/gpu/device/gemm_specialization.hpp"
 
namespace ck {
 
// GEMM:
//   input : A[M, K]
//   input : B[N, K]
//   input : D0[M, N], D1[M, N], ...
//   output : E[M, N]
//   C = a_op(A) * b_op(B)
//   E = cde_op(C, D0, D1, ...)
// Assume:
//   D0, D1, ... and E have the same layout
template <typename ADataType,
          typename BDataType,
          typename AComputeDataType_,
          typename AccDataType,
          typename CShuffleDataType,
          typename DsDataType,
          typename EDataType,
          typename AElementwiseOperation,
          typename BElementwiseOperation,
          typename CDEElementwiseOperation,
          index_t NumGemmKPrefetchStage,
          index_t BlockSize,
          index_t MPerBlock,
          index_t NPerBlock,
          index_t KPerBlock,
          index_t AK1Value,
          index_t BK1Value,
          index_t MPerXdl,
          index_t NPerXdl,
          index_t MXdlPerWave,
          index_t NXdlPerWave,
          typename ABlockTransferThreadClusterLengths_AK0_M_AK1,
          typename ABlockTransferThreadClusterArrangeOrder,
          typename ABlockTransferSrcAccessOrder,
          index_t ABlockTransferSrcVectorDim,
          index_t ABlockTransferSrcScalarPerVector,
          index_t ABlockTransferDstScalarPerVector_AK1,
          bool AThreadTransferSrcResetCoordinateAfterRun,
          index_t ABlockLdsExtraM,
          typename BBlockTransferThreadClusterLengths_BK0_N_BK1,
          typename BBlockTransferThreadClusterArrangeOrder,
          typename BBlockTransferSrcAccessOrder,
          index_t BBlockTransferSrcVectorDim,
          index_t BBlockTransferSrcScalarPerVector,
          index_t BBlockTransferDstScalarPerVector_BK1,
          bool BThreadTransferSrcResetCoordinateAfterRun,
          index_t BBlockLdsExtraN,
          index_t CShuffleMXdlPerWavePerShuffle,
          index_t CShuffleNXdlPerWavePerShuffle,
          typename CDEBlockTransferClusterLengths_MBlock_MPerBlock_NBlock_NPerBlock,
          index_t CDEShuffleBlockTransferScalarPerVector_NPerBlock,
          LoopScheduler LoopSched,
          PipelineVersion PipelineVer      = PipelineVersion::v1,
          typename BComputeDataType_       = AComputeDataType_,
          bool DoElementwiseBeforeCShuffle = false>
struct GridwiseGemmMultipleD_xdl_cshuffle
{
    static constexpr index_t NumDTensor = DsDataType::Size();
    static_assert(!DoElementwiseBeforeCShuffle || NumDTensor == 0);
 
    using GemmSpecialization = ck::tensor_operation::device::GemmSpecialization;
 
    static constexpr auto I0 = Number<0>{};
    static constexpr auto I1 = Number<1>{};
    static constexpr auto I2 = Number<2>{};
    static constexpr auto I3 = Number<3>{};
    static constexpr auto I4 = Number<4>{};
    static constexpr auto I5 = Number<5>{};
    static constexpr auto I6 = Number<6>{};
    static constexpr auto I7 = Number<7>{};
 
    // K1 should be Number<...>
    static constexpr auto AK1         = Number<AK1Value>{};
    static constexpr auto BK1         = Number<BK1Value>{};
    static constexpr auto AK0PerBlock = Number<KPerBlock / AK1Value>{};
    static constexpr auto BK0PerBlock = Number<KPerBlock / BK1Value>{};
 
    using ThisThreadBlock = ThisThreadBlock<BlockSize>;
 
    using GridwiseGemmPipe = remove_cvref_t<
        decltype(GridwiseGemmPipeline_Selector<PipelineVer, NumGemmKPrefetchStage, LoopSched>())>;
 
#if CK_GFX90A_DENORM_WORKAROUND
    using AComputeDataType =
        conditional_t<is_same_v<AComputeDataType_, ck::half_t>, ck::bhalf_t, AComputeDataType_>;
    using BComputeDataType =
        conditional_t<is_same_v<BComputeDataType_, ck::half_t>, ck::bhalf_t, BComputeDataType_>;
#else
    using AComputeDataType =
        conditional_t<is_same_v<AComputeDataType_, ck::tf32_t>, float, AComputeDataType_>;
    using BComputeDataType =
        conditional_t<is_same_v<BComputeDataType_, ck::tf32_t>, float, BComputeDataType_>;
#endif
 
    __host__ __device__ static constexpr auto GetABlockDescriptor_AK0PerBlock_MPerBlock_AK1()
    {
        // A matrix in LDS memory, dst of blockwise copy
        return make_naive_tensor_descriptor(
            make_tuple(AK0PerBlock, Number<MPerBlock>{}, AK1),
            make_tuple(Number<MPerBlock + ABlockLdsExtraM>{} * AK1, AK1, I1));
    }
 
    __host__ __device__ static constexpr auto GetBBlockDescriptor_BK0PerBlock_NPerBlock_BK1()
    {
        // B matrix in LDS memory, dst of blockwise copy
        return make_naive_tensor_descriptor(
            make_tuple(BK0PerBlock, Number<NPerBlock>{}, BK1),
            make_tuple(Number<NPerBlock + BBlockLdsExtraN>{} * BK1, BK1, I1));
    }
 
    __host__ __device__ static constexpr auto
    GetCShuffleBlockDescriptor_MBlock_MPerBlock_NBlock_NPerBlock()
    {
        constexpr index_t MWave = MPerBlock / (MXdlPerWave * MPerXdl);
        constexpr index_t NWave = NPerBlock / (NXdlPerWave * NPerXdl);
 
        constexpr auto c_shuffle_block_desc_mblock_mperblock_nblock_nperblock =
            make_naive_tensor_descriptor_packed(
                make_tuple(I1,
                           Number<CShuffleMXdlPerWavePerShuffle * MWave * MPerXdl>{},
                           I1,
                           Number<CShuffleNXdlPerWavePerShuffle * NWave * NPerXdl>{}));
 
        return c_shuffle_block_desc_mblock_mperblock_nblock_nperblock;
    }
 
    // ck::Tuple<const D0DataType*, const D1DataType*, ...>
    static constexpr auto MakeDsGridPointer()
    {
        return generate_tuple(
            [&](auto i) {
                using DDataType = remove_cvref_t<tuple_element_t<i.value, DsDataType>>;
 
                return static_cast<const DDataType*>(nullptr);
            },
            Number<NumDTensor>{});
    }
 
    __host__ __device__ static constexpr index_t GetSharedMemoryNumberOfByte()
    {
        // LDS allocation for A and B: be careful of alignment
        constexpr auto a_block_desc_ak0_m_ak1 = GetABlockDescriptor_AK0PerBlock_MPerBlock_AK1();
        constexpr auto b_block_desc_bk0_n_bk1 = GetBBlockDescriptor_BK0PerBlock_NPerBlock_BK1();
 
        // lds max alignment
        constexpr auto max_lds_align = math::lcm(AK1, BK1);
 
        constexpr auto a_block_space_size_aligned = math::integer_least_multiple(
            a_block_desc_ak0_m_ak1.GetElementSpaceSize(), max_lds_align);
 
        constexpr auto b_block_space_size_aligned = math::integer_least_multiple(
            b_block_desc_bk0_n_bk1.GetElementSpaceSize(), max_lds_align);
 
        // LDS allocation for C shuffle in LDS
        constexpr auto c_shuffle_block_desc_mblock_mperblock_nblock_nperblock =
            GetCShuffleBlockDescriptor_MBlock_MPerBlock_NBlock_NPerBlock();
 
        constexpr auto c_block_size =
            c_shuffle_block_desc_mblock_mperblock_nblock_nperblock.GetElementSpaceSize();
 
        return math::max(a_block_space_size_aligned * sizeof(AComputeDataType) +
                             b_block_space_size_aligned * sizeof(BComputeDataType),
                         c_block_size * sizeof(CShuffleDataType));
    }
 
    // A desc for source in blockwise copy
    template <typename AGridDesc_M_K>
    __host__ __device__ static constexpr auto
    MakeDefaultAGridDescriptor_AK0_M_AK1(const AGridDesc_M_K& a_grid_desc_m_k)
    {
        const auto M = a_grid_desc_m_k.GetLength(I0);
        const auto K = a_grid_desc_m_k.GetLength(I1);
 
        const auto AK0 = K / AK1;
 
        return transform_tensor_descriptor(a_grid_desc_m_k,
                                           make_tuple(make_unmerge_transform(make_tuple(AK0, AK1)),
                                                      make_pass_through_transform(M)),
                                           make_tuple(Sequence<1>{}, Sequence<0>{}),
                                           make_tuple(Sequence<0, 2>{}, Sequence<1>{}));
    }
 
    // B desc for source in blockwise copy
    template <typename BGridDesc_N_K>
    __host__ __device__ static constexpr auto
    MakeDefaultBGridDescriptor_BK0_N_BK1(const BGridDesc_N_K& b_grid_desc_n_k)
    {
        const auto N = b_grid_desc_n_k.GetLength(I0);
        const auto K = b_grid_desc_n_k.GetLength(I1);
 
        const auto BK0 = K / BK1;
 
        return transform_tensor_descriptor(b_grid_desc_n_k,
                                           make_tuple(make_unmerge_transform(make_tuple(BK0, BK1)),
                                                      make_pass_through_transform(N)),
                                           make_tuple(Sequence<1>{}, Sequence<0>{}),
                                           make_tuple(Sequence<0, 2>{}, Sequence<1>{}));
    }
 
    // E desc for destination in blockwise copy
    template <typename EGridDesc_M_N>
    __host__ __device__ static constexpr auto
    MakeEGridDescriptor_MBlock_MPerBlock_NBlock_NPerBlock(const EGridDesc_M_N& e_grid_desc_m_n)
    {
        const auto M = e_grid_desc_m_n.GetLength(I0);
        const auto N = e_grid_desc_m_n.GetLength(I1);
 
        const auto MBlock = M / MPerBlock;
        const auto NBlock = N / NPerBlock;
 
        const auto e_grid_desc_mblock_mperblock_nblock_nperblock = transform_tensor_descriptor(
            e_grid_desc_m_n,
            make_tuple(make_unmerge_transform(make_tuple(MBlock, Number<MPerBlock>{})),
                       make_unmerge_transform(make_tuple(NBlock, Number<NPerBlock>{}))),
            make_tuple(Sequence<0>{}, Sequence<1>{}),
            make_tuple(Sequence<0, 1>{}, Sequence<2, 3>{}));
 
        return e_grid_desc_mblock_mperblock_nblock_nperblock;
    }
 
    // Ds desc for source in blockwise copy
    template <typename DsGridDesc_M_N>
    __host__ __device__ static constexpr auto
    MakeDsGridDescriptor_MBlock_MPerBlock_NBlock_NPerBlock(const DsGridDesc_M_N& ds_grid_desc_m_n)
    {
        return generate_tuple(
            [&](auto i) {
                return MakeEGridDescriptor_MBlock_MPerBlock_NBlock_NPerBlock(ds_grid_desc_m_n[i]);
            },
            Number<NumDTensor>{});
    }
 
    // return block_id to E matrix tile idx (m0, n0) mapping
    template <typename EGridDesc_M_N>
    __host__ __device__ static constexpr auto
    MakeDefaultBlock2ETileMap(const EGridDesc_M_N& e_grid_desc_m_n)
    {
        return BlockToCTileMap_M00_N0_M01Adapt<MPerBlock, NPerBlock, EGridDesc_M_N>(
            e_grid_desc_m_n);
    }
 
    template <typename ALayout, typename BLayout, typename ELayout>
    __host__ __device__ static bool
    CheckTensorTransfersValidity(index_t MRaw, index_t NRaw, index_t KRaw)
    {
        // Check if the vector dim is K1 or M|N
        const auto A_vector_dim_size = ABlockTransferSrcVectorDim == 2 ? KRaw : MRaw;
        const auto B_vector_dim_size = BBlockTransferSrcVectorDim == 2 ? KRaw : NRaw;
        const auto E_vector_dim_size = NRaw;
 
        // check vector load for A tensor
        if constexpr(is_same_v<tensor_layout::gemm::RowMajor, ALayout>)
        {
            if(!(A_vector_dim_size == KRaw &&
                 A_vector_dim_size % ABlockTransferSrcScalarPerVector == 0))
                return false;
        }
        else if constexpr(is_same_v<tensor_layout::gemm::ColumnMajor, ALayout>)
        {
            if(!(A_vector_dim_size == MRaw &&
                 A_vector_dim_size % ABlockTransferSrcScalarPerVector == 0))
                return false;
        }
        else
        {
            return false;
        }
 
        if constexpr(is_same_v<tensor_layout::gemm::RowMajor, BLayout>)
        {
            if(!(B_vector_dim_size == NRaw &&
                 B_vector_dim_size % BBlockTransferSrcScalarPerVector == 0))
                return false;
        }
        else if constexpr(is_same_v<tensor_layout::gemm::ColumnMajor, BLayout>)
        {
            if(!(B_vector_dim_size == KRaw &&
                 B_vector_dim_size % BBlockTransferSrcScalarPerVector == 0))
                return false;
        }
        else
        {
            return false;
        }
 
        if constexpr(is_same_v<tensor_layout::gemm::RowMajor, ELayout>)
        {
            if(!(E_vector_dim_size == NRaw &&
                 E_vector_dim_size % CDEShuffleBlockTransferScalarPerVector_NPerBlock == 0))
                return false;
        }
        else if constexpr(is_same_v<tensor_layout::gemm::ColumnMajor, ELayout>)
        {
            if(!(E_vector_dim_size == NRaw &&
                 CDEShuffleBlockTransferScalarPerVector_NPerBlock == 1))
                return false;
        }
        else
        {
            return false;
        }
 
        return true;
    }
 
    IS_VALID_COMPILATION_PARAMETER_IMPL(EDataType)
 
    template <typename AGridDesc_M_K,
              typename BGridDesc_N_K,
              typename DsGridDesc_M_N,
              typename EGridDesc_M_N,
              typename Block2ETileMap>
    __host__ __device__ static constexpr bool CheckValidity(const AGridDesc_M_K& a_grid_desc_m_k,
                                                            const BGridDesc_N_K& b_grid_desc_n_k,
                                                            const DsGridDesc_M_N& ds_grid_desc_m_n,
                                                            const EGridDesc_M_N& e_grid_desc_m_n,
                                                            [[maybe_unused]] const Block2ETileMap&,
                                                            index_t k_batch = 1)
    {
        static_assert((MPerBlock % (MPerXdl * MXdlPerWave) == 0) &&
                          (NPerBlock % (NXdlPerWave * NPerXdl)) == 0,
                      "Invalid tuning param!");
 
        static_assert(KPerBlock % AK1Value == 0 && KPerBlock % BK1Value == 0,
                      "KPerBlock must be divisible by AK1Value and BK1Value!");
 
        const auto M  = a_grid_desc_m_k.GetLength(I0);
        const auto N  = b_grid_desc_n_k.GetLength(I0);
        const auto AK = a_grid_desc_m_k.GetLength(I1);
        const auto BK = b_grid_desc_n_k.GetLength(I1);
 
        // check consistency of desc
        if(!(M == e_grid_desc_m_n.GetLength(I0) && N == e_grid_desc_m_n.GetLength(I1) && AK == BK))
        {
            return false;
        }
        bool valid = true;
 
        static_for<0, NumDTensor, 1>{}([&](auto i) {
            valid = valid && (M == ds_grid_desc_m_n[i].GetLength(I0) &&
                              N == ds_grid_desc_m_n[i].GetLength(I1));
        });
 
        if(!valid)
        {
            return false;
        }
 
        // check tile size
        if(!(M % MPerBlock == 0 && N % NPerBlock == 0 && AK % KPerBlock == 0))
        {
            return false;
        }
 
        // check gridwise gemm pipeline
        const auto num_k_loop = AK / (KPerBlock * k_batch);
        if(!GridwiseGemmPipe::IsSupported(num_k_loop))
        {
            return false;
        }
 
        // check block-to-E-tile
        // if(!block_2_etile_map.CheckValidity(e_grid_desc_m_n))
        //{
        // return false;
        //}
 
        // TODO: also check validity of all components (blockwise-copy, threadwise-copy, etc)
        // check tensor size: cannot be larger than 2GB each
        constexpr long_index_t TwoGB = (long_index_t{1} << 31);
 
        if(!(a_grid_desc_m_k.GetElementSpaceSize() * sizeof(ADataType) <= TwoGB &&
             b_grid_desc_n_k.GetElementSpaceSize() * sizeof(BDataType) <= TwoGB &&
             e_grid_desc_m_n.GetElementSpaceSize() * sizeof(EDataType) <= TwoGB))
        {
            return false;
        }
 
        return true;
    }
 
    __host__ __device__ static constexpr bool CalculateHasMainKBlockLoop(index_t K,
                                                                         index_t k_batch = 1)
    {
        const index_t num_loop = K / (KPerBlock * k_batch);
 
        return GridwiseGemmPipe::CalculateHasMainLoop(num_loop);
    }
 
    using DsGridPointer = decltype(MakeDsGridPointer());
 
    template <typename ALayout, GemmSpecialization GemmSpec>
    __host__ __device__ static auto
    MakeAGridDescriptor_M_K(index_t MRaw, index_t KRaw, index_t StrideA)
    {
        constexpr auto matrix_padder =
            ck::tensor_operation::device::MatrixPadder<GemmSpec, index_t, index_t, index_t>{
                MPerBlock, NPerBlock, KPerBlock};
 
        const auto a_grid_desc_mraw_kraw = [&]() {
            if constexpr(is_same_v<tensor_layout::gemm::RowMajor, ALayout>)
            {
                return make_naive_tensor_descriptor(make_tuple(MRaw, KRaw),
                                                    make_tuple(StrideA, I1));
            }
            else if constexpr(is_same_v<tensor_layout::gemm::ColumnMajor, ALayout>)
            {
                return make_naive_tensor_descriptor(make_tuple(MRaw, KRaw),
                                                    make_tuple(I1, StrideA));
            }
        }();
 
        return matrix_padder.PadADescriptor_M_K(a_grid_desc_mraw_kraw);
    }
 
    template <typename BLayout, GemmSpecialization GemmSpec>
    __host__ __device__ static auto
    MakeBGridDescriptor_N_K(index_t KRaw, index_t NRaw, index_t StrideB)
    {
        constexpr auto matrix_padder =
            ck::tensor_operation::device::MatrixPadder<GemmSpec, index_t, index_t, index_t>{
                MPerBlock, NPerBlock, KPerBlock};
 
        const auto b_grid_desc_nraw_kraw = [&]() {
            if constexpr(is_same<tensor_layout::gemm::RowMajor, BLayout>::value)
            {
                return make_naive_tensor_descriptor(make_tuple(NRaw, KRaw),
                                                    make_tuple(I1, StrideB));
            }
            else if constexpr(is_same<tensor_layout::gemm::ColumnMajor, BLayout>::value)
            {
                return make_naive_tensor_descriptor(make_tuple(NRaw, KRaw),
                                                    make_tuple(StrideB, I1));
            }
        }();
 
        return matrix_padder.PadBDescriptor_N_K(b_grid_desc_nraw_kraw);
    }
 
    template <typename ELayout, GemmSpecialization GemmSpec>
    __host__ __device__ static auto
    MakeEGridDescriptor_M_N(index_t MRaw, index_t NRaw, index_t StrideE)
    {
        constexpr auto matrix_padder =
            ck::tensor_operation::device::MatrixPadder<GemmSpec, index_t, index_t, index_t>{
                MPerBlock, NPerBlock, KPerBlock};
        const auto e_grid_desc_mraw_nraw = [&]() {
            if constexpr(is_same<tensor_layout::gemm::RowMajor, ELayout>::value)
            {
                return make_naive_tensor_descriptor(make_tuple(MRaw, NRaw),
                                                    make_tuple(StrideE, I1));
            }
            else if constexpr(is_same<tensor_layout::gemm::ColumnMajor, ELayout>::value)
            {
                return make_naive_tensor_descriptor(make_tuple(MRaw, NRaw),
                                                    make_tuple(I1, StrideE));
            }
        }();
 
        return matrix_padder.PadCDescriptor_M_N(e_grid_desc_mraw_nraw);
    }
 
#if defined(__HIPCC_RTC__) || defined(CK_CODE_GEN_RTC)
    template <typename DsLayout, GemmSpecialization GemmSpec>
    __host__ __device__ static auto
    MakeDsGridDescriptor_M_N(const ck::Array<index_t, NumDTensor>& MRaws,
                             const ck::Array<index_t, NumDTensor>& NRaws,
                             const ck::Array<index_t, NumDTensor>& DsStride)
#else
    template <typename DsLayout, GemmSpecialization GemmSpec>
    __host__ __device__ static auto
    MakeDsGridDescriptor_M_N(const std::array<index_t, NumDTensor>& MRaws,
                             const std::array<index_t, NumDTensor>& NRaws,
                             const std::array<index_t, NumDTensor>& DsStride)
#endif
 
    {
        return generate_tuple(
            [&](auto i) {
                using DLayout = remove_cvref_t<tuple_element_t<i.value, DsLayout>>;
 
                return MakeEGridDescriptor_M_N<DLayout, GemmSpec>(MRaws[i], NRaws[i], DsStride[i]);
            },
            Number<NumDTensor>{});
    }
 
    __device__ __host__ static constexpr auto GetMPerBlock() { return MPerBlock; }
 
    template <bool HasMainKBlockLoop,
              InMemoryDataOperationEnum EGlobalMemoryDataOperation,
              typename AGridDesc_AK0_M_AK1,
              typename BGridDesc_BK0_N_BK1,
              typename DsGridDesc_MBlock_MPerBlock_NBlock_NPerBlock,
              typename EGridDesc_MBlock_MPerBlock_NBlock_NPerBlock,
              typename Block2ETileMap>
    __device__ static void Run(const ADataType* __restrict__ p_a_grid,
                               const BDataType* __restrict__ p_b_grid,
                               DsGridPointer p_ds_grid,
                               EDataType* __restrict__ p_e_grid,
                               void* __restrict__ p_shared,
                               const AElementwiseOperation& a_element_op,
                               const BElementwiseOperation& b_element_op,
                               const CDEElementwiseOperation& cde_element_op,
                               const AGridDesc_AK0_M_AK1& a_grid_desc_ak0_m_ak1,
                               const BGridDesc_BK0_N_BK1& b_grid_desc_bk0_n_bk1,
                               const DsGridDesc_MBlock_MPerBlock_NBlock_NPerBlock&
                                   ds_grid_desc_mblock_mperblock_nblock_nperblock,
                               const EGridDesc_MBlock_MPerBlock_NBlock_NPerBlock&
                                   e_grid_desc_mblock_mperblock_nblock_nperblock,
                               const Block2ETileMap& block_2_etile_map,
                               const index_t k_batch = 1,
                               const index_t k_idx   = 0)
    {
        const auto a_grid_buf = make_dynamic_buffer<AddressSpaceEnum::Global>(
            p_a_grid, a_grid_desc_ak0_m_ak1.GetElementSpaceSize());
 
        const auto b_grid_buf = make_dynamic_buffer<AddressSpaceEnum::Global>(
            p_b_grid, b_grid_desc_bk0_n_bk1.GetElementSpaceSize());
 
        const auto ds_grid_buf = generate_tuple(
            [&](auto i) {
                return make_dynamic_buffer<AddressSpaceEnum::Global>(
                    p_ds_grid[i],
                    ds_grid_desc_mblock_mperblock_nblock_nperblock[i].GetElementSpaceSize());
            },
            Number<NumDTensor>{});
 
        auto e_grid_buf = make_dynamic_buffer<AddressSpaceEnum::Global>(
            p_e_grid, e_grid_desc_mblock_mperblock_nblock_nperblock.GetElementSpaceSize());
 
        // divide block work by [M, N]
        const auto block_work_idx =
            block_2_etile_map.CalculateBottomIndex(make_multi_index(get_block_1d_id()));
 
        if(!block_2_etile_map.ValidCTileIndex(
               block_work_idx,
               make_tuple(e_grid_desc_mblock_mperblock_nblock_nperblock.GetLength(I0),
                          e_grid_desc_mblock_mperblock_nblock_nperblock.GetLength(I2))))
        {
            return;
        }
 
        const index_t num_ak0_per_block =
            __builtin_amdgcn_readfirstlane(a_grid_desc_ak0_m_ak1.GetLength(I0) / k_batch);
        const index_t num_bk0_per_block =
            __builtin_amdgcn_readfirstlane(b_grid_desc_bk0_n_bk1.GetLength(I0) / k_batch);
        // HACK: this force m/n_block_data_idx_on_grid into SGPR
        const index_t m_block_data_idx_on_grid =
            __builtin_amdgcn_readfirstlane(block_work_idx[I0] * MPerBlock);
 
        const index_t n_block_data_idx_on_grid =
            __builtin_amdgcn_readfirstlane(block_work_idx[I1] * NPerBlock);
 
        // lds max alignment
        constexpr auto max_lds_align = math::lcm(AK1, BK1);
 
        // A matrix in LDS memory, dst of blockwise copy
        constexpr auto a_block_desc_ak0_m_ak1 = GetABlockDescriptor_AK0PerBlock_MPerBlock_AK1();
 
        // B matrix in LDS memory, dst of blockwise copy
        constexpr auto b_block_desc_bk0_n_bk1 = GetBBlockDescriptor_BK0PerBlock_NPerBlock_BK1();
 
        // A matrix blockwise copy
        auto a_blockwise_copy =
            ThreadGroupTensorSliceTransfer_v4r1<ThisThreadBlock,
                                                AElementwiseOperation,
                                                ck::tensor_operation::element_wise::PassThrough,
                                                InMemoryDataOperationEnum::Set,
                                                Sequence<AK0PerBlock, MPerBlock, AK1>,
                                                ABlockTransferThreadClusterLengths_AK0_M_AK1,
                                                ABlockTransferThreadClusterArrangeOrder,
                                                ADataType,
                                                AComputeDataType,
                                                decltype(a_grid_desc_ak0_m_ak1),
                                                decltype(a_block_desc_ak0_m_ak1),
                                                ABlockTransferSrcAccessOrder,
                                                Sequence<1, 0, 2>,
                                                ABlockTransferSrcVectorDim,
                                                2,
                                                ABlockTransferSrcScalarPerVector,
                                                ABlockTransferDstScalarPerVector_AK1,
                                                1,
                                                1,
                                                AThreadTransferSrcResetCoordinateAfterRun,
                                                true,
                                                NumGemmKPrefetchStage>(
                a_grid_desc_ak0_m_ak1,
                make_multi_index(num_ak0_per_block * k_idx, m_block_data_idx_on_grid, 0),
                a_element_op,
                a_block_desc_ak0_m_ak1,
                make_multi_index(0, 0, 0),
                ck::tensor_operation::element_wise::PassThrough{});
 
        // B matrix blockwise copy
        auto b_blockwise_copy =
            ThreadGroupTensorSliceTransfer_v4r1<ThisThreadBlock,
                                                BElementwiseOperation,
                                                ck::tensor_operation::element_wise::PassThrough,
                                                InMemoryDataOperationEnum::Set,
                                                Sequence<BK0PerBlock, NPerBlock, BK1>,
                                                BBlockTransferThreadClusterLengths_BK0_N_BK1,
                                                BBlockTransferThreadClusterArrangeOrder,
                                                BDataType,
                                                BComputeDataType,
                                                decltype(b_grid_desc_bk0_n_bk1),
                                                decltype(b_block_desc_bk0_n_bk1),
                                                BBlockTransferSrcAccessOrder,
                                                Sequence<1, 0, 2>,
                                                BBlockTransferSrcVectorDim,
                                                2,
                                                BBlockTransferSrcScalarPerVector,
                                                BBlockTransferDstScalarPerVector_BK1,
                                                1,
                                                1,
                                                BThreadTransferSrcResetCoordinateAfterRun,
                                                true,
                                                NumGemmKPrefetchStage>(
                b_grid_desc_bk0_n_bk1,
                make_multi_index(num_bk0_per_block * k_idx, n_block_data_idx_on_grid, 0),
                b_element_op,
                b_block_desc_bk0_n_bk1,
                make_multi_index(0, 0, 0),
                ck::tensor_operation::element_wise::PassThrough{});
 
        // GEMM definition
        //   c_mtx += transpose(a_mtx) * b_mtx
        //     a_mtx[K0PerBlock, MPerBlock] is in LDS
        //     b_mtx[K0PerBlock, NPerBlock] is in LDS
        //     c_mtx[MPerBlock, NPerBlock] is distributed among threads, and saved in
        //       register
        // sanity check
        constexpr auto lcm_AK1_BK1 = math::lcm(AK1, BK1);
        constexpr bool is_single_rate_mfma =
            (((is_same<AComputeDataType, half_t>::value ||
               is_same<AComputeDataType, bhalf_t>::value) &&
              lcm_AK1_BK1 <= 4) ||
             (is_same<AComputeDataType, int8_t>::value && lcm_AK1_BK1 <= 8) ||
             ((is_same<AComputeDataType, f8_t>::value || is_same<AComputeDataType, bf8_t>::value) &&
              lcm_AK1_BK1 < 32))
                ? true
                : false;
        constexpr auto is_scale_mfma = false;
        constexpr index_t KPack      = math::max(lcm_AK1_BK1,
                                            MfmaSelector<AComputeDataType_,
                                                              MPerXdl,
                                                              NPerXdl,
                                                              BComputeDataType_,
                                                              is_single_rate_mfma,
                                                              is_scale_mfma>::selected_mfma.k_per_blk);
        auto blockwise_gemm          = BlockwiseGemmXdlops_k0mk1_k0nk1_m0n0m1n1m2m3m4n2_Selector<
                     BlockSize,
                     AComputeDataType,
                     BComputeDataType,
                     AccDataType,
                     decltype(a_block_desc_ak0_m_ak1),
                     decltype(b_block_desc_bk0_n_bk1),
                     MPerXdl,
                     NPerXdl,
                     MXdlPerWave,
                     NXdlPerWave,
                     KPack,
                     LoopSched,
                     AComputeDataType_,
                     BComputeDataType_>();
 
        auto c_thread_buf = blockwise_gemm.GetCThreadBuffer();
 
        // LDS allocation for A and B: be careful of alignment
        constexpr auto a_block_space_size_aligned = math::integer_least_multiple(
            a_block_desc_ak0_m_ak1.GetElementSpaceSize(), max_lds_align);
 
        auto a_block_buf = make_dynamic_buffer<AddressSpaceEnum::Lds>(
            static_cast<AComputeDataType*>(p_shared), a_block_desc_ak0_m_ak1.GetElementSpaceSize());
 
        auto b_block_buf = make_dynamic_buffer<AddressSpaceEnum::Lds>(
            static_cast<BComputeDataType*>(p_shared) + a_block_space_size_aligned,
            b_block_desc_bk0_n_bk1.GetElementSpaceSize());
 
        constexpr auto a_block_slice_copy_step = make_multi_index(KPerBlock / AK1, 0, 0);
        constexpr auto b_block_slice_copy_step = make_multi_index(KPerBlock / BK1, 0, 0);
 
        // gridwise GEMM pipeline
        const auto gridwise_gemm_pipeline =
            GridwiseGemmPipeline_Selector<PipelineVer, NumGemmKPrefetchStage, LoopSched>();
 
        const index_t num_k_block_main_loop = __builtin_amdgcn_readfirstlane(
            (a_grid_desc_ak0_m_ak1.GetLength(I0) * a_grid_desc_ak0_m_ak1.GetLength(I2)) /
            (KPerBlock * k_batch));
 
        gridwise_gemm_pipeline.template Run<HasMainKBlockLoop>(a_grid_desc_ak0_m_ak1,
                                                               a_block_desc_ak0_m_ak1,
                                                               a_blockwise_copy,
                                                               a_grid_buf,
                                                               a_block_buf,
                                                               a_block_slice_copy_step,
                                                               b_grid_desc_bk0_n_bk1,
                                                               b_block_desc_bk0_n_bk1,
                                                               b_blockwise_copy,
                                                               b_grid_buf,
                                                               b_block_buf,
                                                               b_block_slice_copy_step,
                                                               blockwise_gemm,
                                                               c_thread_buf,
                                                               num_k_block_main_loop);
 
        // shuffle C and write out
        {
            static_assert(MXdlPerWave % CShuffleMXdlPerWavePerShuffle == 0 &&
                              NXdlPerWave % CShuffleNXdlPerWavePerShuffle == 0,
                          "wrong!");
 
            constexpr index_t MWave = MPerBlock / (MXdlPerWave * MPerXdl);
            constexpr index_t NWave = NPerBlock / (NXdlPerWave * NPerXdl);
 
            // TODO: hacky, fix it!
            constexpr auto c_thread_desc_m0_n0_m1_n1_m2_m3_m4_n2 =
                blockwise_gemm.GetCThreadDescriptor_M0_N0_M1_N1_M2_M3_M4_N2();
 
            // TODO: hacky, fix it!
            // c_block_desc_m0_n0_m1_n1_m2_m3_m4_n2_tmp is only used to get lengths
            constexpr auto c_block_desc_m0_n0_m1_n1_m2_m3_m4_n2_tmp =
                blockwise_gemm.GetCBlockDescriptor_M0_N0_M1_N1_M2_M3_M4_N2();
 
            constexpr auto M0 = c_block_desc_m0_n0_m1_n1_m2_m3_m4_n2_tmp.GetLength(I0);
            constexpr auto N0 = c_block_desc_m0_n0_m1_n1_m2_m3_m4_n2_tmp.GetLength(I1);
            constexpr auto M1 = c_block_desc_m0_n0_m1_n1_m2_m3_m4_n2_tmp.GetLength(I2);
            constexpr auto N1 = c_block_desc_m0_n0_m1_n1_m2_m3_m4_n2_tmp.GetLength(I3);
            constexpr auto M2 = c_block_desc_m0_n0_m1_n1_m2_m3_m4_n2_tmp.GetLength(I4);
            constexpr auto M3 = c_block_desc_m0_n0_m1_n1_m2_m3_m4_n2_tmp.GetLength(I5);
            constexpr auto M4 = c_block_desc_m0_n0_m1_n1_m2_m3_m4_n2_tmp.GetLength(I6);
            constexpr auto N2 = c_block_desc_m0_n0_m1_n1_m2_m3_m4_n2_tmp.GetLength(I7);
 
            constexpr auto c_shuffle_block_desc_mblock_mperblock_nblock_nperblock =
                GetCShuffleBlockDescriptor_MBlock_MPerBlock_NBlock_NPerBlock();
 
            auto c_shuffle_block_buf = make_dynamic_buffer<AddressSpaceEnum::Lds>(
                static_cast<CShuffleDataType*>(p_shared),
                c_shuffle_block_desc_mblock_mperblock_nblock_nperblock.GetElementSpaceSize());
 
            constexpr auto c_block_desc_m0_n0_m1_n1_m2_m3_m4_n2 = transform_tensor_descriptor(
                c_shuffle_block_desc_mblock_mperblock_nblock_nperblock,
                make_tuple(
                    make_freeze_transform(I0),
                    make_unmerge_transform(make_tuple(
                        Number<CShuffleMXdlPerWavePerShuffle>{}, // M0 (MXdlPerWave) per shuffle
                        M1,                                      // M1 = MWave
                        M2,                                      // M2 * M3 * M4 = MPerXdl
                        M3,
                        M4)),
                    make_freeze_transform(I0),
                    make_unmerge_transform(make_tuple(
                        Number<CShuffleNXdlPerWavePerShuffle>{}, // N0 (NXdlPerWave) per shuffle
                        N1,                                      // N1 = NWave
                        N2))),                                   // N2 = NPerXdl
                make_tuple(Sequence<0>{}, Sequence<1>{}, Sequence<2>{}, Sequence<3>{}),
                make_tuple(
                    Sequence<>{}, Sequence<0, 2, 4, 5, 6>{}, Sequence<>{}, Sequence<1, 3, 7>{}));
 
            // calculate origin of thread output tensor on global memory
            //     blockwise GEMM c matrix starting index
            const auto c_thread_mtx_on_block =
                blockwise_gemm.CalculateCThreadOriginDataIndex(I0, I0, I0, I0);
 
            const index_t m_thread_data_on_block = c_thread_mtx_on_block[I0];
            const index_t n_thread_data_on_block = c_thread_mtx_on_block[I1];
 
            const auto m_thread_data_on_block_to_m0_m1_m2_m3_m4_adaptor =
                make_single_stage_tensor_adaptor(
                    make_tuple(make_merge_transform(make_tuple(M0, M1, M2, M3, M4))),
                    make_tuple(Sequence<0, 1, 2, 3, 4>{}),
                    make_tuple(Sequence<0>{}));
 
            const auto m_thread_data_on_block_idx =
                m_thread_data_on_block_to_m0_m1_m2_m3_m4_adaptor.CalculateBottomIndex(
                    make_multi_index(m_thread_data_on_block));
 
            const auto n_thread_data_on_block_to_n0_n1_n2_adaptor =
                make_single_stage_tensor_adaptor(
                    make_tuple(make_merge_transform(make_tuple(N0, N1, N2))),
                    make_tuple(Sequence<0, 1, 2>{}),
                    make_tuple(Sequence<0>{}));
 
            const auto n_thread_data_on_block_idx =
                n_thread_data_on_block_to_n0_n1_n2_adaptor.CalculateBottomIndex(
                    make_multi_index(n_thread_data_on_block));
 
            tensor_operation::element_wise::PassThrough pass_through{};
            const auto& vpgr_to_lds_element_op = [&] {
                if constexpr(DoElementwiseBeforeCShuffle)
                {
                    return cde_element_op;
                }
                else
                {
                    return pass_through;
                }
            };
            const auto& lds_to_global_element_op = [&] {
                if constexpr(!DoElementwiseBeforeCShuffle)
                {
                    return cde_element_op;
                }
                else
                {
                    return pass_through;
                }
            };
 
            // shuffle: threadwise copy C from VGPR to LDS
            auto c_thread_copy_vgpr_to_lds = ThreadwiseTensorSliceTransfer_v1r3<
                AccDataType,
                CShuffleDataType,
                decltype(c_thread_desc_m0_n0_m1_n1_m2_m3_m4_n2),
                decltype(c_block_desc_m0_n0_m1_n1_m2_m3_m4_n2),
                conditional_t<DoElementwiseBeforeCShuffle,
                              CDEElementwiseOperation,
                              tensor_operation::element_wise::PassThrough>,
                Sequence<CShuffleMXdlPerWavePerShuffle,
                         CShuffleNXdlPerWavePerShuffle,
                         I1,
                         I1,
                         M2,
                         I1,
                         M4,
                         I1>,
                Sequence<0, 1, 2, 3, 4, 5, 6, 7>,
                7,
                1,
                InMemoryDataOperationEnum::Set,
                1,
                true>{c_block_desc_m0_n0_m1_n1_m2_m3_m4_n2,
                      make_multi_index(0,
                                       0,
                                       m_thread_data_on_block_idx[I1],
                                       n_thread_data_on_block_idx[I1],
                                       m_thread_data_on_block_idx[I2],
                                       m_thread_data_on_block_idx[I3],
                                       m_thread_data_on_block_idx[I4],
                                       n_thread_data_on_block_idx[I2]),
                      vpgr_to_lds_element_op()};
 
            // tuple of reference to C/Ds tensor descriptors
            const auto c_ds_desc_refs = concat_tuple_of_reference(
                tie(c_shuffle_block_desc_mblock_mperblock_nblock_nperblock),
                generate_tie([&](auto i) -> const auto& // return type should be reference
                             { return ds_grid_desc_mblock_mperblock_nblock_nperblock[i]; },
                             Number<NumDTensor>{}));
 
            // tuple of reference to C/Ds tensor descriptors
            const auto c_ds_buf_refs = concat_tuple_of_reference(
                tie(c_shuffle_block_buf),
                generate_tie([&](auto i) -> const auto& // return type should be reference
                             { return ds_grid_buf[i]; },
                             Number<NumDTensor>{}));
 
            // tuple of starting index of C/Ds blockwise copy
            const auto idx_c_ds_block_begin = container_concat(
                make_tuple(make_multi_index(0, 0, 0, 0)),
                generate_tuple(
                    [&](auto) {
                        return make_multi_index(block_work_idx[I0], 0, block_work_idx[I1], 0);
                    },
                    Number<NumDTensor>{}));
 
            // blockwise copy C/D/E between LDS and global
            auto cde_block_copy_lds_and_global = ThreadGroupTensorSliceTransfer_v7<
                ThisThreadBlock,
                decltype(container_concat(make_tuple(CShuffleDataType{}), DsDataType{})),
                Tuple<EDataType>,
                decltype(c_ds_desc_refs),
                decltype(tie(e_grid_desc_mblock_mperblock_nblock_nperblock)),
                conditional_t<!DoElementwiseBeforeCShuffle,
                              CDEElementwiseOperation,
                              tensor_operation::element_wise::PassThrough>,
                Sequence<static_cast<index_t>(EGlobalMemoryDataOperation)>, // FIXME: make Sequence
                                                                            // support arbitray type
                Sequence<1,
                         CShuffleMXdlPerWavePerShuffle * MWave * MPerXdl,
                         1,
                         CShuffleNXdlPerWavePerShuffle * NWave * NPerXdl>, // BlockSliceLengths,
                CDEBlockTransferClusterLengths_MBlock_MPerBlock_NBlock_NPerBlock,
                Sequence<0, 1, 2, 3>, // typename ThreadClusterArrangeOrder,
                Sequence<0, 1, 2, 3>, // typename DimAccessOrder,
                3,                    // index_t VectorDim,
                CDEShuffleBlockTransferScalarPerVector_NPerBlock,
                sequence_merge_t<
                    Sequence<true>,
                    uniform_sequence_gen_t<NumDTensor,
                                           false>>, // ThreadTransferSrcResetCoordinateAfterRunFlags
                Sequence<false>>                    // ThreadTransferDstResetCoordinateAfterRunFlags
                {c_ds_desc_refs,
                 idx_c_ds_block_begin,
                 tie(e_grid_desc_mblock_mperblock_nblock_nperblock),
                 make_tuple(make_multi_index(block_work_idx[I0], 0, block_work_idx[I1], 0)),
                 lds_to_global_element_op()};
 
            // space filling curve for threadwise C in VGPR before shuffle
            constexpr auto sfc_c_vgpr =
                SpaceFillingCurve<Sequence<MXdlPerWave, NXdlPerWave, 1, 1, M2, 1, M4, 1>,
                                  Sequence<0, 1, 2, 3, 4, 5, 6, 7>,
                                  Sequence<CShuffleMXdlPerWavePerShuffle,
                                           CShuffleNXdlPerWavePerShuffle,
                                           1,
                                           1,
                                           M2,
                                           1,
                                           M4,
                                           1>>{};
 
            // space filling curve for shuffled blockwise C/D/E
            constexpr auto sfc_cde_block =
                SpaceFillingCurve<Sequence<1, MPerBlock, 1, NPerBlock>,
                                  Sequence<0, 2, 1, 3>,
                                  Sequence<1,
                                           CShuffleMXdlPerWavePerShuffle * MWave * MPerXdl,
                                           1,
                                           CShuffleNXdlPerWavePerShuffle * NWave * NPerXdl>>{};
 
            constexpr index_t num_access = sfc_c_vgpr.GetNumOfAccess();
 
            static_assert(num_access == sfc_cde_block.GetNumOfAccess(), "wrong!");
 
            static_for<0, num_access, 1>{}([&](auto access_id) {
                // make sure it's safe to write to LDS
                block_sync_lds();
 
                // each thread write its data from VGPR to LDS
                c_thread_copy_vgpr_to_lds.Run(c_thread_desc_m0_n0_m1_n1_m2_m3_m4_n2,
                                              sfc_c_vgpr.GetIndexTupleOfNumber(access_id),
                                              c_thread_buf,
                                              c_block_desc_m0_n0_m1_n1_m2_m3_m4_n2,
                                              c_shuffle_block_buf);
 
                // make sure it's safe to read from LDS
                block_sync_lds();
 
                // each block copy its data from LDS to global
                cde_block_copy_lds_and_global.Run(
                    c_ds_desc_refs,
                    c_ds_buf_refs,
                    tie(e_grid_desc_mblock_mperblock_nblock_nperblock),
                    tie(e_grid_buf));
 
                if constexpr(access_id < num_access - 1)
                {
                    constexpr auto cde_lds_and_global_step =
                        sfc_cde_block.GetForwardStep(access_id);
 
                    // move on Ds
                    static_for<0, NumDTensor, 1>{}([&](auto i) {
                        cde_block_copy_lds_and_global.MoveSrcSliceWindow(
                            c_ds_desc_refs, i + I1, cde_lds_and_global_step);
                    });
 
                    // move on E
                    cde_block_copy_lds_and_global.MoveDstSliceWindow(
                        tie(e_grid_desc_mblock_mperblock_nblock_nperblock),
                        I0,
                        cde_lds_and_global_step);
                }
            });
        }
    }
 
    template <bool HasMainKBlockLoop,
              InMemoryDataOperationEnum EGlobalMemoryDataOperation,
              GemmSpecialization GemmSpec,
              typename ALayout,
              typename BLayout,
              typename DsLayout,
              typename ELayout,
              typename Block2ETileMap>
    __device__ static void Run(const void* __restrict__ p_a_grid_,
                               const void* __restrict__ p_b_grid_,
                               DsGridPointer p_ds_grid,
                               void* __restrict__ p_e_grid_,
                               void* __restrict__ p_shared,
                               const AElementwiseOperation& a_element_op,
                               const BElementwiseOperation& b_element_op,
                               const CDEElementwiseOperation& cde_element_op,
                               const index_t M,
                               const index_t N,
                               const index_t K,
                               const index_t StrideA,
                               const index_t StrideB,
#if defined(__HIPCC_RTC__) || defined(CK_CODE_GEN_RTC)
                               const ck::Array<index_t, NumDTensor> StrideDs,
#else
                               const std::array<index_t, NumDTensor> StrideDs,
#endif
                               const index_t StrideE,
                               const Block2ETileMap& block_2_etile_map)
    {
        const auto p_a_grid = reinterpret_cast<const ADataType*>(p_a_grid_);
        const auto p_b_grid = reinterpret_cast<const BDataType*>(p_b_grid_);
        const auto p_e_grid = reinterpret_cast<EDataType*>(p_e_grid_);
 
        // tensor descriptors for problem definiton
        const auto a_grid_desc_m_k = MakeAGridDescriptor_M_K<ALayout, GemmSpec>(M, K, StrideA);
        const auto b_grid_desc_n_k = MakeBGridDescriptor_N_K<BLayout, GemmSpec>(K, N, StrideB);
 
        using DsGridDesc_M_N =
            remove_cvref_t<decltype(MakeDsGridDescriptor_M_N<DsLayout, GemmSpec>({}, {}, {}))>;
 
        DsGridDesc_M_N ds_grid_desc_m_n;
 
        static_for<0, NumDTensor, 1>{}([&](auto j) {
            using DLayout = remove_cvref_t<tuple_element_t<j.value, DsLayout>>;
 
            ds_grid_desc_m_n(j) = MakeEGridDescriptor_M_N<DLayout, GemmSpec>(M, N, StrideDs[j]);
        });
 
        const auto e_grid_desc_m_n = MakeEGridDescriptor_M_N<ELayout, GemmSpec>(M, N, StrideE);
 
        // tensor descriptors for block/thread-wise copy
        const auto a_grid_desc_ak0_m_ak1 = MakeDefaultAGridDescriptor_AK0_M_AK1(a_grid_desc_m_k);
 
        const auto b_grid_desc_bk0_n_bk1 = MakeDefaultBGridDescriptor_BK0_N_BK1(b_grid_desc_n_k);
 
        using DsGridDesc_MBlock_MPerBlock_NBlock_NPerBlock =
            remove_cvref_t<decltype(MakeDsGridDescriptor_MBlock_MPerBlock_NBlock_NPerBlock(
                DsGridDesc_M_N{}))>;
 
        DsGridDesc_MBlock_MPerBlock_NBlock_NPerBlock ds_grid_desc_mblock_mperblock_nblock_nperblock;
 
        static_for<0, NumDTensor, 1>{}([&](auto j) {
            ds_grid_desc_mblock_mperblock_nblock_nperblock(j) =
                MakeEGridDescriptor_MBlock_MPerBlock_NBlock_NPerBlock(ds_grid_desc_m_n[j]);
        });
 
        const auto e_grid_desc_mblock_mperblock_nblock_nperblock =
            MakeEGridDescriptor_MBlock_MPerBlock_NBlock_NPerBlock(e_grid_desc_m_n);
 
        Run<HasMainKBlockLoop, EGlobalMemoryDataOperation>(
            p_a_grid,
            p_b_grid,
            p_ds_grid,
            p_e_grid,
            p_shared,
            a_element_op,
            b_element_op,
            cde_element_op,
            a_grid_desc_ak0_m_ak1,
            b_grid_desc_bk0_n_bk1,
            ds_grid_desc_mblock_mperblock_nblock_nperblock,
            e_grid_desc_mblock_mperblock_nblock_nperblock,
            block_2_etile_map);
    }
 
    template <bool HasMainKBlockLoop,
              InMemoryDataOperationEnum EGlobalMemoryDataOperation,
              typename AGridDesc_MK,
              typename BGridDesc_NK,
              typename DsGridDesc_MN,
              typename EGridDesc_MN,
              typename Block2ETileMap>
    __device__ static void Run(const void* __restrict__ p_a_grid_,
                               const void* __restrict__ p_b_grid_,
                               DsGridPointer p_ds_grid,
                               void* __restrict__ p_e_grid_,
                               void* __restrict__ p_shared,
                               const AElementwiseOperation& a_element_op,
                               const BElementwiseOperation& b_element_op,
                               const CDEElementwiseOperation& cde_element_op,
                               const AGridDesc_MK& a_grid_desc_m_k,
                               const BGridDesc_NK& b_grid_desc_n_k,
                               const DsGridDesc_MN& ds_grid_desc_m_n,
                               const EGridDesc_MN& e_grid_desc_m_n,
                               const Block2ETileMap& block_2_etile_map)
    {
        const auto p_a_grid = reinterpret_cast<const ADataType*>(p_a_grid_);
        const auto p_b_grid = reinterpret_cast<const BDataType*>(p_b_grid_);
        const auto p_e_grid = reinterpret_cast<EDataType*>(p_e_grid_);
 
        // tensor descriptors for block/thread-wise copy
        const auto a_grid_desc_ak0_m_ak1 = MakeDefaultAGridDescriptor_AK0_M_AK1(a_grid_desc_m_k);
        const auto b_grid_desc_bk0_n_bk1 = MakeDefaultBGridDescriptor_BK0_N_BK1(b_grid_desc_n_k);
 
        using DsGridDesc_MBlock_MPerBlock_NBlock_NPerBlock =
            remove_cvref_t<decltype(MakeDsGridDescriptor_MBlock_MPerBlock_NBlock_NPerBlock(
                DsGridDesc_MN{}))>;
 
        DsGridDesc_MBlock_MPerBlock_NBlock_NPerBlock ds_grid_desc_mblock_mperblock_nblock_nperblock;
 
        static_for<0, NumDTensor, 1>{}([&](auto j) {
            ds_grid_desc_mblock_mperblock_nblock_nperblock(j) =
                MakeEGridDescriptor_MBlock_MPerBlock_NBlock_NPerBlock(ds_grid_desc_m_n[j]);
        });
 
        const auto e_grid_desc_mblock_mperblock_nblock_nperblock =
            MakeEGridDescriptor_MBlock_MPerBlock_NBlock_NPerBlock(e_grid_desc_m_n);
 
        Run<HasMainKBlockLoop, EGlobalMemoryDataOperation>(
            p_a_grid,
            p_b_grid,
            p_ds_grid,
            p_e_grid,
            p_shared,
            a_element_op,
            b_element_op,
            cde_element_op,
            a_grid_desc_ak0_m_ak1,
            b_grid_desc_bk0_n_bk1,
            ds_grid_desc_mblock_mperblock_nblock_nperblock,
            e_grid_desc_mblock_mperblock_nblock_nperblock,
            block_2_etile_map);
    }
};
 
} // namespace ck