gridwise_gemm_split_k_multiple_d_xdl_cshuffle.hpp Source File

gridwise_gemm_split_k_multiple_d_xdl_cshuffle.hpp Source File#

Composable Kernel: gridwise_gemm_split_k_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_v1.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_v6r1.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"
 
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 ABDataType, // FIXME: don't assume A/B have same datatype
          typename AccDataType,
          typename CShuffleDataType,
          typename DsDataType,
          typename EDataType,
          typename AElementwiseOperation,
          typename BElementwiseOperation,
          typename CDEElementwiseOperation,
          InMemoryDataOperationEnum EGlobalMemoryDataOperation,
          typename AGridDesc_M_K,
          typename BGridDesc_N_K,
          typename DsGridDesc_M_N,
          typename EGridDesc_M_N,
          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>
struct GridwiseGemmSplitKMultipleD_xdl_cshuffle
{
    static constexpr index_t NumDTensor = DsDataType::Size();
 
    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 = GridwiseGemmPipeline_v1<NumGemmKPrefetchStage, true, true>;
 
    __host__ __device__ static constexpr auto GetABlockDescriptor_AK0PerBlock_MPerBlock_AK1()
    {
        // A matrix in LDS memory, src 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 GetABlockDescriptor_AKB_AK0PerBlock_MPerBlock_AK1()
    {
        // A matrix in LDS memory, dst of blockwise copy
        return make_naive_tensor_descriptor(
            make_tuple(I1, AK0PerBlock, Number<MPerBlock>{}, AK1),
            make_tuple(AK0PerBlock * Number<MPerBlock + ABlockLdsExtraM>{} * AK1,
                       Number<MPerBlock + ABlockLdsExtraM>{} * AK1,
                       AK1,
                       I1));
    }
 
    __host__ __device__ static constexpr auto GetBBlockDescriptor_BK0PerBlock_NPerBlock_BK1()
    {
        // B matrix in LDS memory, src 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 GetBBlockDescriptor_BKB_BK0PerBlock_NPerBlock_BK1()
    {
        // B matrix in LDS memory, dst of blockwise copy
        return make_naive_tensor_descriptor(
            make_tuple(I1, BK0PerBlock, Number<NPerBlock>{}, BK1),
            make_tuple(BK0PerBlock * Number<NPerBlock + BBlockLdsExtraN>{} * BK1,
                       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 + b_block_space_size_aligned) *
                             sizeof(ABDataType),
                         c_block_size * sizeof(CShuffleDataType));
    }
 
    // A desc for source in blockwise copy
    __host__ __device__ static constexpr auto
    MakeDefaultAGridDescriptor_AKB_AK0_M_AK1(const AGridDesc_M_K& a_grid_desc_m_k,
                                             const int split_k)
    {
        const auto MRaw = a_grid_desc_m_k.GetLength(I0);
        const auto KRaw = a_grid_desc_m_k.GetLength(I1);
 
        const index_t AK0 =
            (math::integer_divide_ceil(KRaw, KPerBlock * split_k) * KPerBlock) / AK1;
        const index_t K = split_k * AK0 * AK1;
        const auto KPad = K - KRaw;
 
        const auto a_grid_desc_m_kpad = transform_tensor_descriptor(
            a_grid_desc_m_k,
            make_tuple(make_pass_through_transform(MRaw), make_right_pad_transform(KRaw, KPad)),
            make_tuple(Sequence<0>{}, Sequence<1>{}),
            make_tuple(Sequence<0>{}, Sequence<1>{}));
        return transform_tensor_descriptor(
            a_grid_desc_m_kpad,
            make_tuple(make_unmerge_transform(make_tuple(split_k, AK0, AK1)),
                       make_pass_through_transform(MRaw)),
            make_tuple(Sequence<1>{}, Sequence<0>{}),
            make_tuple(Sequence<0, 1, 3>{}, Sequence<2>{}));
    }
 
    // B desc for source in blockwise copy
    __host__ __device__ static constexpr auto
    MakeDefaultBGridDescriptor_BKB_BK0_N_BK1(const BGridDesc_N_K& b_grid_desc_n_k,
                                             const int split_k)
    {
        const auto NRaw = b_grid_desc_n_k.GetLength(I0);
        const auto KRaw = b_grid_desc_n_k.GetLength(I1);
 
        const index_t BK0 =
            (math::integer_divide_ceil(KRaw, KPerBlock * split_k) * KPerBlock) / BK1;
        const index_t K = split_k * BK0 * BK1;
        const auto KPad = K - KRaw;
 
        const auto b_grid_desc_n_kpad = transform_tensor_descriptor(
            b_grid_desc_n_k,
            make_tuple(make_pass_through_transform(NRaw), make_right_pad_transform(KRaw, KPad)),
            make_tuple(Sequence<0>{}, Sequence<1>{}),
            make_tuple(Sequence<0>{}, Sequence<1>{}));
 
        return transform_tensor_descriptor(
            b_grid_desc_n_kpad,
            make_tuple(make_unmerge_transform(make_tuple(split_k, BK0, BK1)),
                       make_pass_through_transform(NRaw)),
            make_tuple(Sequence<1>{}, Sequence<0>{}),
            make_tuple(Sequence<0, 1, 3>{}, Sequence<2>{}));
    }
 
    // E desc for destination in blockwise copy
    template <typename EGridDescriptor_M_N>
    __host__ __device__ static constexpr auto MakeEGridDescriptor_MBlock_MPerBlock_NBlock_NPerBlock(
        const EGridDescriptor_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 DsGridDescriptor_M_N>
    __host__ __device__ static constexpr auto
    MakeDsGridDescriptor_MBlock_MPerBlock_NBlock_NPerBlock(
        const DsGridDescriptor_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
    __host__ __device__ static constexpr auto
    MakeDefaultBlock2ETileMap(const EGridDesc_M_N& e_grid_desc_m_n, const int split_k)
    {
        return BlockToCTileMap_KSplit_M00_N0_M01Adapt<MPerBlock, NPerBlock, EGridDesc_M_N>(
            e_grid_desc_m_n, 8, split_k);
    }
 
    IS_VALID_COMPILATION_PARAMETER_IMPL(EDataType)
 
    // block_id to matrix tile idx (m0, n0) mapping are controlled by {M01, N01}
    template <typename AGridDesc_AKB_AK0_M_AK1,
              typename BGridDesc_BKB_BK0_N_BK1,
              typename Block2ETileMap>
    __host__ __device__ static constexpr bool
    CheckValidity(const AGridDesc_AKB_AK0_M_AK1& a_grid_desc_akb_ak0_m_ak1,
                  const BGridDesc_BKB_BK0_N_BK1& b_grid_desc_bkb_bk0_n_bk1,
                  const DsGridDesc_M_N& ds_grid_desc_m_n,
                  const EGridDesc_M_N& e_grid_desc_m_n,
                  const Block2ETileMap& block_2_etile_map)
    {
        static_assert((MPerBlock % (MPerXdl * MXdlPerWave) == 0) &&
                          (NPerBlock % (NXdlPerWave * NPerXdl)) == 0,
                      "Invalid tuning param!");
 
        const auto M = a_grid_desc_akb_ak0_m_ak1.GetLength(I2);
        const auto N = b_grid_desc_bkb_bk0_n_bk1.GetLength(I2);
        const auto K =
            a_grid_desc_akb_ak0_m_ak1.GetLength(I1) * a_grid_desc_akb_ak0_m_ak1.GetLength(I3);
 
        if(K != b_grid_desc_bkb_bk0_n_bk1.GetLength(I1) * b_grid_desc_bkb_bk0_n_bk1.GetLength(I3))
        {
            return false;
        }
        if(a_grid_desc_akb_ak0_m_ak1.GetLength(I0) != b_grid_desc_bkb_bk0_n_bk1.GetLength(I0))
        {
            return false;
        }
 
        // check consistency of desc
        if(!(M == e_grid_desc_m_n.GetLength(I0) && N == e_grid_desc_m_n.GetLength(I1)))
        {
            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 && K % KPerBlock == 0))
        {
            return false;
        }
 
        // check gridwise gemm pipeline
        const auto num_k_loop = K / KPerBlock;
 
        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_akb_ak0_m_ak1.GetElementSpaceSize() * sizeof(ABDataType) <= TwoGB &&
             b_grid_desc_bkb_bk0_n_bk1.GetElementSpaceSize() * sizeof(ABDataType) <= TwoGB &&
             e_grid_desc_m_n.GetElementSpaceSize() * sizeof(EDataType) <= TwoGB))
        {
            return false;
        }
 
        return true;
    }
 
    __host__ __device__ static constexpr bool CalculateHasMainKBlockLoop(index_t K)
    {
        const index_t num_loop = K / KPerBlock;
 
        return GridwiseGemmPipe::CalculateHasMainLoop(num_loop);
    }
 
    using DefaultAGridDesc_AK0_M_AK1 =
        remove_cvref_t<decltype(MakeDefaultAGridDescriptor_AKB_AK0_M_AK1(AGridDesc_M_K{}, 1))>;
    using DefaultBGridDesc_BK0_N_BK1 =
        remove_cvref_t<decltype(MakeDefaultBGridDescriptor_BKB_BK0_N_BK1(BGridDesc_N_K{}, 1))>;
    using EGridDescriptor_MBlock_MPerBlock_NBlock_NPerBlock =
        remove_cvref_t<decltype(MakeEGridDescriptor_MBlock_MPerBlock_NBlock_NPerBlock(
            EGridDesc_M_N{}))>;
    using DsGridDescriptor_MBlock_MPerBlock_NBlock_NPerBlock =
        remove_cvref_t<decltype(MakeDsGridDescriptor_MBlock_MPerBlock_NBlock_NPerBlock(
            DsGridDesc_M_N{}))>;
 
    using DefaultBlock2ETileMap =
        remove_cvref_t<decltype(MakeDefaultBlock2ETileMap(EGridDesc_M_N{}, 1))>;
 
    using DsGridPointer = decltype(MakeDsGridPointer());
 
    template <bool HasMainKBlockLoop,
              typename AGridDesc_AKB_AK0_M_AK1,
              typename BGridDesc_BKB_BK0_N_BK1,
              typename Block2ETileMap>
    __device__ static void Run(const ABDataType* __restrict__ p_a_grid,
                               const ABDataType* __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_AKB_AK0_M_AK1& a_grid_desc_akb_ak0_m_ak1,
                               const BGridDesc_BKB_BK0_N_BK1& b_grid_desc_bkb_bk0_n_bk1,
                               const DsGridDescriptor_MBlock_MPerBlock_NBlock_NPerBlock&
                                   ds_grid_desc_mblock_mperblock_nblock_nperblock,
                               const EGridDescriptor_MBlock_MPerBlock_NBlock_NPerBlock&
                                   e_grid_desc_mblock_mperblock_nblock_nperblock,
                               const Block2ETileMap& block_2_etile_map)
    {
        const auto block_work_idx =
            block_2_etile_map.CalculateBottomIndex(make_multi_index(get_block_1d_id()));
 
        if(block_work_idx[Number<0>{}] == 0)
        {
            Run0<HasMainKBlockLoop>(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_akb_ak0_m_ak1,
                                    b_grid_desc_bkb_bk0_n_bk1,
                                    ds_grid_desc_mblock_mperblock_nblock_nperblock,
                                    e_grid_desc_mblock_mperblock_nblock_nperblock,
                                    block_2_etile_map);
        }
        else
        {
            Run1<HasMainKBlockLoop>(p_a_grid,
                                    p_b_grid,
                                    p_e_grid,
                                    p_shared,
                                    a_element_op,
                                    b_element_op,
                                    a_grid_desc_akb_ak0_m_ak1,
                                    b_grid_desc_bkb_bk0_n_bk1,
                                    ds_grid_desc_mblock_mperblock_nblock_nperblock,
                                    e_grid_desc_mblock_mperblock_nblock_nperblock,
                                    block_2_etile_map);
        }
    }
    template <bool HasMainKBlockLoop,
              typename AGridDesc_AKB_AK0_M_AK1,
              typename BGridDesc_BKB_BK0_N_BK1,
              typename Block2ETileMap>
    __device__ static void Run0(const ABDataType* __restrict__ p_a_grid,
                                const ABDataType* __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_AKB_AK0_M_AK1& a_grid_desc_akb_ak0_m_ak1,
                                const BGridDesc_BKB_BK0_N_BK1& b_grid_desc_bkb_bk0_n_bk1,
                                const DsGridDescriptor_MBlock_MPerBlock_NBlock_NPerBlock&
                                    ds_grid_desc_mblock_mperblock_nblock_nperblock,
                                const EGridDescriptor_MBlock_MPerBlock_NBlock_NPerBlock&
                                    e_grid_desc_mblock_mperblock_nblock_nperblock,
                                const Block2ETileMap& block_2_etile_map)
    {
        const auto a_grid_buf = make_dynamic_buffer<AddressSpaceEnum::Global>(
            p_a_grid, a_grid_desc_akb_ak0_m_ak1.GetElementSpaceSize());
 
        const auto b_grid_buf = make_dynamic_buffer<AddressSpaceEnum::Global>(
            p_b_grid, b_grid_desc_bkb_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(
               make_tuple(block_work_idx[I1], block_work_idx[I2]),
               make_tuple(e_grid_desc_mblock_mperblock_nblock_nperblock.GetLength(I0),
                          e_grid_desc_mblock_mperblock_nblock_nperblock.GetLength(I2))))
        {
            return;
        }
 
        // HACK: this force m/n_block_data_idx_on_grid into SGPR
        const index_t k_batch_id = block_work_idx[I0];
 
        const index_t m_block_data_idx_on_grid =
            __builtin_amdgcn_readfirstlane(block_work_idx[I1] * MPerBlock);
 
        const index_t n_block_data_idx_on_grid =
            __builtin_amdgcn_readfirstlane(block_work_idx[I2] * 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();
        constexpr auto a_block_desc_akb_ak0_m_ak1 =
            GetABlockDescriptor_AKB_AK0PerBlock_MPerBlock_AK1();
 
        // B matrix in LDS memory, dst of blockwise copy
        constexpr auto b_block_desc_bk0_n_bk1 = GetBBlockDescriptor_BK0PerBlock_NPerBlock_BK1();
        constexpr auto b_block_desc_bkb_bk0_n_bk1 =
            GetBBlockDescriptor_BKB_BK0PerBlock_NPerBlock_BK1();
 
        // A matrix blockwise copy
        auto a_blockwise_copy =
            ThreadGroupTensorSliceTransfer_v4r1<ThisThreadBlock,
                                                AElementwiseOperation,
                                                ck::tensor_operation::element_wise::PassThrough,
                                                InMemoryDataOperationEnum::Set,
                                                Sequence<I1, AK0PerBlock, MPerBlock, AK1>,
                                                ABlockTransferThreadClusterLengths_AK0_M_AK1,
                                                ABlockTransferThreadClusterArrangeOrder,
                                                ABDataType,
                                                ABDataType,
                                                decltype(a_grid_desc_akb_ak0_m_ak1),
                                                decltype(a_block_desc_akb_ak0_m_ak1),
                                                ABlockTransferSrcAccessOrder,
                                                Sequence<0, 2, 1, 3>,
                                                ABlockTransferSrcVectorDim,
                                                3,
                                                ABlockTransferSrcScalarPerVector,
                                                ABlockTransferDstScalarPerVector_AK1,
                                                1,
                                                1,
                                                AThreadTransferSrcResetCoordinateAfterRun,
                                                true,
                                                NumGemmKPrefetchStage>(
                a_grid_desc_akb_ak0_m_ak1,
                make_multi_index(k_batch_id, 0, m_block_data_idx_on_grid, 0),
                a_element_op,
                a_block_desc_akb_ak0_m_ak1,
                make_multi_index(0, 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<I1, BK0PerBlock, NPerBlock, BK1>,
                                                BBlockTransferThreadClusterLengths_BK0_N_BK1,
                                                BBlockTransferThreadClusterArrangeOrder,
                                                ABDataType,
                                                ABDataType,
                                                decltype(b_grid_desc_bkb_bk0_n_bk1),
                                                decltype(b_block_desc_bkb_bk0_n_bk1),
                                                BBlockTransferSrcAccessOrder,
                                                Sequence<0, 2, 1, 3>,
                                                BBlockTransferSrcVectorDim,
                                                3,
                                                BBlockTransferSrcScalarPerVector,
                                                BBlockTransferDstScalarPerVector_BK1,
                                                1,
                                                1,
                                                BThreadTransferSrcResetCoordinateAfterRun,
                                                true,
                                                NumGemmKPrefetchStage>(
                b_grid_desc_bkb_bk0_n_bk1,
                make_multi_index(k_batch_id, 0, n_block_data_idx_on_grid, 0),
                b_element_op,
                b_block_desc_bkb_bk0_n_bk1,
                make_multi_index(0, 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<ABDataType, half_t>::value || is_same<ABDataType, bhalf_t>::value) &&
              lcm_AK1_BK1 <= 4) ||
             (is_same<ABDataType, int8_t>::value && lcm_AK1_BK1 <= 8) ||
             ((is_same<ABDataType, f8_t>::value || is_same<ABDataType, 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<ABDataType,
                                                              MPerXdl,
                                                              NPerXdl,
                                                              ABDataType,
                                                              is_single_rate_mfma,
                                                              is_scale_mfma>::selected_mfma.k_per_blk);
 
        auto blockwise_gemm = BlockwiseGemmXdlops_k0mk1_k0nk1_m0n0m1n1m2m3m4n2_Selector<
            BlockSize,
            ABDataType,
            ABDataType,
            AccDataType,
            decltype(a_block_desc_ak0_m_ak1),
            decltype(b_block_desc_bk0_n_bk1),
            MPerXdl,
            NPerXdl,
            MXdlPerWave,
            NXdlPerWave,
            KPack,
            LoopSched>();
 
        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<ABDataType*>(p_shared), a_block_desc_ak0_m_ak1.GetElementSpaceSize());
 
        auto b_block_buf = make_dynamic_buffer<AddressSpaceEnum::Lds>(
            static_cast<ABDataType*>(p_shared) + a_block_space_size_aligned,
            b_block_desc_bk0_n_bk1.GetElementSpaceSize());
 
        constexpr auto a_block_slice_copy_step = make_multi_index(0, KPerBlock / AK1, 0, 0);
        constexpr auto b_block_slice_copy_step = make_multi_index(0, KPerBlock / BK1, 0, 0);
 
        // gridwise GEMM pipeline
        const auto gridwise_gemm_pipeline =
            GridwiseGemmPipeline_v1_Selector<NumGemmKPrefetchStage, LoopSched>();
 
        const index_t num_k_block_main_loop = __builtin_amdgcn_readfirstlane(
            (a_grid_desc_akb_ak0_m_ak1.GetLength(I1) * a_grid_desc_akb_ak0_m_ak1.GetLength(I3)) /
            KPerBlock);
 
        gridwise_gemm_pipeline.template Run<HasMainKBlockLoop>(a_grid_desc_akb_ak0_m_ak1,
                                                               a_block_desc_akb_ak0_m_ak1,
                                                               a_blockwise_copy,
                                                               a_grid_buf,
                                                               a_block_buf,
                                                               a_block_slice_copy_step,
                                                               b_grid_desc_bkb_bk0_n_bk1,
                                                               b_block_desc_bkb_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));
 
            // 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),
                                                   ck::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]),
                    ck::tensor_operation::element_wise::PassThrough{}};
            {
                // 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[I1], 0, block_work_idx[I2], 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)),
                    CDEElementwiseOperation,
                    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[I1], 0, block_work_idx[I2], 0)),
                     cde_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,
              typename AGridDesc_AKB_AK0_M_AK1,
              typename BGridDesc_BKB_BK0_N_BK1,
              typename Block2ETileMap>
    __device__ static void Run1(const ABDataType* __restrict__ p_a_grid,
                                const ABDataType* __restrict__ p_b_grid,
                                EDataType* __restrict__ p_e_grid,
                                void* __restrict__ p_shared,
                                const AElementwiseOperation& a_element_op,
                                const BElementwiseOperation& b_element_op,
                                const AGridDesc_AKB_AK0_M_AK1& a_grid_desc_akb_ak0_m_ak1,
                                const BGridDesc_BKB_BK0_N_BK1& b_grid_desc_bkb_bk0_n_bk1,
                                const DsGridDescriptor_MBlock_MPerBlock_NBlock_NPerBlock&,
                                const EGridDescriptor_MBlock_MPerBlock_NBlock_NPerBlock&
                                    e_grid_desc_mblock_mperblock_nblock_nperblock,
                                const Block2ETileMap& block_2_etile_map)
    {
        const auto a_grid_buf = make_dynamic_buffer<AddressSpaceEnum::Global>(
            p_a_grid, a_grid_desc_akb_ak0_m_ak1.GetElementSpaceSize());
 
        const auto b_grid_buf = make_dynamic_buffer<AddressSpaceEnum::Global>(
            p_b_grid, b_grid_desc_bkb_bk0_n_bk1.GetElementSpaceSize());
 
        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(
               make_tuple(block_work_idx[I1], block_work_idx[I2]),
               make_tuple(e_grid_desc_mblock_mperblock_nblock_nperblock.GetLength(I0),
                          e_grid_desc_mblock_mperblock_nblock_nperblock.GetLength(I2))))
        {
            return;
        }
 
        // HACK: this force m/n_block_data_idx_on_grid into SGPR
        const index_t k_batch_id = block_work_idx[I0];
 
        const index_t m_block_data_idx_on_grid =
            __builtin_amdgcn_readfirstlane(block_work_idx[I1] * MPerBlock);
 
        const index_t n_block_data_idx_on_grid =
            __builtin_amdgcn_readfirstlane(block_work_idx[I2] * 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();
        constexpr auto a_block_desc_akb_ak0_m_ak1 =
            GetABlockDescriptor_AKB_AK0PerBlock_MPerBlock_AK1();
 
        // B matrix in LDS memory, dst of blockwise copy
        constexpr auto b_block_desc_bk0_n_bk1 = GetBBlockDescriptor_BK0PerBlock_NPerBlock_BK1();
        constexpr auto b_block_desc_bkb_bk0_n_bk1 =
            GetBBlockDescriptor_BKB_BK0PerBlock_NPerBlock_BK1();
 
        // A matrix blockwise copy
        auto a_blockwise_copy =
            ThreadGroupTensorSliceTransfer_v4r1<ThisThreadBlock,
                                                AElementwiseOperation,
                                                ck::tensor_operation::element_wise::PassThrough,
                                                InMemoryDataOperationEnum::Set,
                                                Sequence<I1, AK0PerBlock, MPerBlock, AK1>,
                                                ABlockTransferThreadClusterLengths_AK0_M_AK1,
                                                ABlockTransferThreadClusterArrangeOrder,
                                                ABDataType,
                                                ABDataType,
                                                decltype(a_grid_desc_akb_ak0_m_ak1),
                                                decltype(a_block_desc_akb_ak0_m_ak1),
                                                ABlockTransferSrcAccessOrder,
                                                Sequence<0, 2, 1, 3>,
                                                ABlockTransferSrcVectorDim,
                                                3,
                                                ABlockTransferSrcScalarPerVector,
                                                ABlockTransferDstScalarPerVector_AK1,
                                                1,
                                                1,
                                                AThreadTransferSrcResetCoordinateAfterRun,
                                                true,
                                                NumGemmKPrefetchStage>(
                a_grid_desc_akb_ak0_m_ak1,
                make_multi_index(k_batch_id, 0, m_block_data_idx_on_grid, 0),
                a_element_op,
                a_block_desc_akb_ak0_m_ak1,
                make_multi_index(0, 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<I1, BK0PerBlock, NPerBlock, BK1>,
                                                BBlockTransferThreadClusterLengths_BK0_N_BK1,
                                                BBlockTransferThreadClusterArrangeOrder,
                                                ABDataType,
                                                ABDataType,
                                                decltype(b_grid_desc_bkb_bk0_n_bk1),
                                                decltype(b_block_desc_bkb_bk0_n_bk1),
                                                BBlockTransferSrcAccessOrder,
                                                Sequence<0, 2, 1, 3>,
                                                BBlockTransferSrcVectorDim,
                                                3,
                                                BBlockTransferSrcScalarPerVector,
                                                BBlockTransferDstScalarPerVector_BK1,
                                                1,
                                                1,
                                                BThreadTransferSrcResetCoordinateAfterRun,
                                                true,
                                                NumGemmKPrefetchStage>(
                b_grid_desc_bkb_bk0_n_bk1,
                make_multi_index(k_batch_id, 0, n_block_data_idx_on_grid, 0),
                b_element_op,
                b_block_desc_bkb_bk0_n_bk1,
                make_multi_index(0, 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<ABDataType, half_t>::value || is_same<ABDataType, bhalf_t>::value) &&
              lcm_AK1_BK1 <= 4) ||
             (is_same<ABDataType, int8_t>::value && lcm_AK1_BK1 <= 8) ||
             ((is_same<ABDataType, f8_t>::value || is_same<ABDataType, 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<ABDataType,
                                                              MPerXdl,
                                                              NPerXdl,
                                                              ABDataType,
                                                              is_single_rate_mfma,
                                                              is_scale_mfma>::selected_mfma.k_per_blk);
 
        auto blockwise_gemm = BlockwiseGemmXdlops_k0mk1_k0nk1_m0n0m1n1m2m3m4n2_Selector<
            BlockSize,
            ABDataType,
            ABDataType,
            AccDataType,
            decltype(a_block_desc_ak0_m_ak1),
            decltype(b_block_desc_bk0_n_bk1),
            MPerXdl,
            NPerXdl,
            MXdlPerWave,
            NXdlPerWave,
            KPack,
            LoopSched>();
 
        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<ABDataType*>(p_shared), a_block_desc_ak0_m_ak1.GetElementSpaceSize());
 
        auto b_block_buf = make_dynamic_buffer<AddressSpaceEnum::Lds>(
            static_cast<ABDataType*>(p_shared) + a_block_space_size_aligned,
            b_block_desc_bk0_n_bk1.GetElementSpaceSize());
 
        constexpr auto a_block_slice_copy_step = make_multi_index(0, KPerBlock / AK1, 0, 0);
        constexpr auto b_block_slice_copy_step = make_multi_index(0, KPerBlock / BK1, 0, 0);
 
        // gridwise GEMM pipeline
        const auto gridwise_gemm_pipeline =
            GridwiseGemmPipeline_v1_Selector<NumGemmKPrefetchStage, LoopSched>();
 
        const index_t num_k_block_main_loop = __builtin_amdgcn_readfirstlane(
            (a_grid_desc_akb_ak0_m_ak1.GetLength(I1) * a_grid_desc_akb_ak0_m_ak1.GetLength(I3)) /
            KPerBlock);
 
        gridwise_gemm_pipeline.template Run<HasMainKBlockLoop>(a_grid_desc_akb_ak0_m_ak1,
                                                               a_block_desc_akb_ak0_m_ak1,
                                                               a_blockwise_copy,
                                                               a_grid_buf,
                                                               a_block_buf,
                                                               a_block_slice_copy_step,
                                                               b_grid_desc_bkb_bk0_n_bk1,
                                                               b_block_desc_bkb_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));
 
            // 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),
                                                   ck::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]),
                    ck::tensor_operation::element_wise::PassThrough{}};
            {
                // shuffle: blockwise copy C from LDS to global
                auto c_shuffle_block_copy_lds_to_global = ThreadGroupTensorSliceTransfer_v6r1<
                    ThisThreadBlock,                                 // ThreadGroup
                    ck::tensor_operation::element_wise::PassThrough, // ElementwiseOperation,
                    EGlobalMemoryDataOperation,                      // DstInMemOp,
                    Sequence<1,
                             CShuffleMXdlPerWavePerShuffle * MWave * MPerXdl,
                             1,
                             CShuffleNXdlPerWavePerShuffle * NWave * NPerXdl>, // BlockSliceLengths,
                    CDEBlockTransferClusterLengths_MBlock_MPerBlock_NBlock_NPerBlock,
                    Sequence<0, 1, 2, 3>, // typename ThreadClusterArrangeOrder,
                    CShuffleDataType,     // typename SrcData,
                    EDataType,            // typename DstData,
                    decltype(c_shuffle_block_desc_mblock_mperblock_nblock_nperblock),
                    decltype(e_grid_desc_mblock_mperblock_nblock_nperblock),
                    Sequence<0, 1, 2, 3>,                             // typename DimAccessOrder,
                    3,                                                // index_t VectorDim,
                    CDEShuffleBlockTransferScalarPerVector_NPerBlock, // index_t ScalarPerVector,
                    true,  // bool ThreadTransferSrcResetCoordinateAfterRun,
                    false> // bool ThreadTransferDstResetCoordinateAfterRun>
                    {c_shuffle_block_desc_mblock_mperblock_nblock_nperblock,
                     make_multi_index(0, 0, 0, 0),
                     e_grid_desc_mblock_mperblock_nblock_nperblock,
                     make_multi_index(block_work_idx[I1], 0, block_work_idx[I2], 0),
                     ck::tensor_operation::element_wise::PassThrough{}};
 
                // space filling curve for threadwise C in VGPR
                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 in global mem
                constexpr auto sfc_c_global =
                    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_c_global.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
                    c_shuffle_block_copy_lds_to_global.Run(
                        c_shuffle_block_desc_mblock_mperblock_nblock_nperblock,
                        c_shuffle_block_buf,
                        e_grid_desc_mblock_mperblock_nblock_nperblock,
                        e_grid_buf);
 
                    if constexpr(access_id < num_access - 1)
                    {
                        constexpr auto c_global_step = sfc_c_global.GetForwardStep(access_id);
 
                        // move on C
                        c_shuffle_block_copy_lds_to_global.MoveDstSliceWindow(
                            e_grid_desc_mblock_mperblock_nblock_nperblock, c_global_step);
                    }
                });
            }
        }
    }
};
 
} // namespace ck