gridwise_gemm_xdlops_skip_b_lds_v1.hpp Source File

gridwise_gemm_xdlops_skip_b_lds_v1.hpp Source File#

Composable Kernel: gridwise_gemm_xdlops_skip_b_lds_v1.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_skip_b_lds.hpp"
#include "ck/tensor_operation/gpu/block/thread_group_tensor_slice_transfer_v4r1.hpp"
#include "ck/tensor_operation/gpu/thread/threadwise_tensor_slice_transfer.hpp"
#include "ck/tensor_operation/gpu/element/element_wise_operation.hpp"
 
namespace ck {
 
template <typename GridwiseGemm,
          typename FloatAB,
          typename FloatC,
          typename AGridDesc_K0_M_K1,
          typename BGridDesc_K0_N_K1,
          typename CGridDesc_M_N,
          typename AElementwiseOperation,
          typename BElementwiseOperation,
          typename CElementwiseOperation,
          typename Block2CTileMap,
          bool HasMainK0BlockLoop>
__global__ void
#if CK_USE_LAUNCH_BOUNDS
__launch_bounds__(CK_MAX_THREAD_PER_BLOCK, CK_MIN_BLOCK_PER_CU)
#endif
    kernel_gemm_xdlops_skip_b_lds_v1(const FloatAB* __restrict__ p_a_grid,
                                     const FloatAB* __restrict__ p_b_grid,
                                     FloatC* __restrict__ p_c_grid,
                                     const AGridDesc_K0_M_K1 a_grid_desc_k0_m_k1,
                                     const BGridDesc_K0_N_K1 b_grid_desc_k0_n_k1,
                                     const CGridDesc_M_N c_grid_desc_m_n,
                                     const AElementwiseOperation a_element_op,
                                     const BElementwiseOperation b_element_op,
                                     const CElementwiseOperation c_element_op,
                                     const Block2CTileMap block_2_ctile_map)
{
#if defined(__gfx908__) || defined(__gfx90a__) || defined(__gfx94__) || defined(__gfx11__) || \
    defined(__gfx12__)
    if constexpr(GridwiseGemm::template IsValidCompilationParameter<>())
    {
        __shared__ char p_shared[GridwiseGemm::GetSharedMemoryNumberOfByte()];
 
        auto c_grid_desc_m0_n0_m1_n1_m2_m3_m4_n2 =
            GridwiseGemm::MakeCGridDescriptor_M0_N0_M1_N1_M2_M3_M4_N2(c_grid_desc_m_n);
 
        auto b_grid_desc_k0_k1_k2_n0_n1_n2_n3_k3 =
            GridwiseGemm::MakeBGridDescriptor_K0_K1_K2_N0_N1_N2_N3_K3(b_grid_desc_k0_n_k1);
 
        GridwiseGemm::template Run<HasMainK0BlockLoop>(p_a_grid,
                                                       p_b_grid,
                                                       p_c_grid,
                                                       p_shared,
                                                       a_grid_desc_k0_m_k1,
                                                       b_grid_desc_k0_k1_k2_n0_n1_n2_n3_k3,
                                                       c_grid_desc_m0_n0_m1_n1_m2_m3_m4_n2,
                                                       a_element_op,
                                                       b_element_op,
                                                       c_element_op,
                                                       block_2_ctile_map);
    }
#else
    ignore = p_a_grid;
    ignore = p_b_grid;
    ignore = p_c_grid;
    ignore = a_grid_desc_k0_m_k1;
    ignore = b_grid_desc_k0_n_k1;
    ignore = c_grid_desc_m_n;
    ignore = a_element_op;
    ignore = b_element_op;
    ignore = c_element_op;
    ignore = block_2_ctile_map;
#endif // end of if (defined(__gfx908__) || defined(__gfx90a__))
}
 
template <index_t BlockSize,
          typename FloatAB,
          typename FloatAcc,
          typename FloatC,
          InMemoryDataOperationEnum CGlobalMemoryDataOperation,
          typename AGridDesc_K0_M_K1,
          typename BGridDesc_K0_N_K1,
          typename CGridDesc_M_N,
          typename AElementwiseOperation,
          typename BElementwiseOperation,
          typename CElementwiseOperation,
          index_t MPerBlock,
          index_t NPerBlock,
          index_t K0PerBlock,
          index_t MPerXdl,
          index_t NPerXdl,
          index_t K1Value,
          index_t MXdlPerWave,
          index_t NXdlPerWave,
          typename ABlockTransferThreadClusterLengths_K0_M_K1,
          typename ABlockTransferThreadClusterArrangeOrder,
          typename ABlockTransferSrcAccessOrder,
          index_t ABlockTransferSrcVectorDim,
          index_t ABlockTransferSrcScalarPerVector,
          index_t ABlockTransferDstScalarPerVector_K1,
          bool AThreadTransferSrcResetCoordinateAfterRun,
          bool ABlockLdsExtraM,
          index_t BBlockTransferSrcScalarPerVector,
          bool BThreadTransferSrcResetCoordinateAfterRun,
          index_t BBlockBufferSize,
          typename CThreadTransferSrcDstAccessOrder,
          index_t CThreadTransferSrcDstVectorDim,
          index_t CThreadTransferDstScalarPerVector>
struct GridwiseGemm_k0mk1_k0nk1_mn_xdlops_skip_b_lds_v1
{
    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 K1 = Number<K1Value>{};
 
    static constexpr index_t MWaves   = MPerBlock / (MXdlPerWave * MPerXdl);
    static constexpr index_t NWaves   = NPerBlock / (NXdlPerWave * NPerXdl);
    static constexpr index_t WaveSize = BlockSize / (MWaves * NWaves);
 
    static constexpr auto xdlops_gemm    = XdlopsGemm<FloatAB, MPerXdl, NPerXdl, K1>{};
    static constexpr index_t K0PerThread = K0PerBlock / xdlops_gemm.K0PerXdlops;
 
    using ThisThreadBlock = ThisThreadBlock<BlockSize>;
 
    __host__ __device__ static constexpr auto GetABlockDescriptor_K0PerBlock_MPerBlock_K1()
    {
        constexpr auto max_lds_align = K1;
 
        // A matrix in LDS memory, dst of blockwise copy
        constexpr auto a_block_desc_k0_m_k1 = [&]() {
            if constexpr(ABlockLdsExtraM)
            {
                return make_naive_tensor_descriptor(
                    make_tuple(Number<K0PerBlock * BBlockBufferSize>{}, Number<MPerBlock>{}, K1),
                    make_tuple(Number<MPerBlock + 1>{} * K1, K1, I1));
            }
            else
            {
                return make_naive_tensor_descriptor_aligned(
                    make_tuple(Number<K0PerBlock * BBlockBufferSize>{}, Number<MPerBlock>{}, K1),
                    max_lds_align);
            }
        }();
 
        return a_block_desc_k0_m_k1;
    }
 
    __host__ __device__ static constexpr index_t GetSharedMemoryNumberOfByte()
    {
        // LDS allocation for A and B: be careful of alignment
        constexpr auto a_block_desc_k0_m_k1 = GetABlockDescriptor_K0PerBlock_MPerBlock_K1();
 
        constexpr auto max_lds_align = K1;
 
        constexpr auto a_block_space_size_aligned =
            math::integer_least_multiple(a_block_desc_k0_m_k1.GetElementSpaceSize(), max_lds_align);
 
        return (a_block_space_size_aligned) * sizeof(FloatAB);
    }
 
    template <
        InMemoryDataOperationEnum CGlobalMemoryDataOperation_ = InMemoryDataOperationEnum::Set>
    __device__ static bool constexpr IsValidCompilationParameter()
    {
        return ck::tensor_operation::device::IsValidGemmCompilationParameter<
            BlockSize,
            MPerBlock,
            NPerBlock,
            MPerXdl,
            NPerXdl,
            MXdlPerWave,
            NXdlPerWave,
            FloatC,
            CGlobalMemoryDataOperation>();
    }
    // block_id to matrix tile idx (m0, n0) mapping are controlled by {M01, N01}
    __host__ __device__ static constexpr bool
    CheckValidity(const AGridDesc_K0_M_K1& a_grid_desc_k0_m_k1,
                  const BGridDesc_K0_N_K1& b_grid_desc_k0_n_k1,
                  const CGridDesc_M_N& c_grid_desc_m_n,
                  index_t M01,
                  index_t N01)
    {
        static_assert(is_known_at_compile_time<remove_cv_t<decltype(K1)>>::value,
                      "wrong! K1 need to be known at compile-time");
 
        static_assert((MPerBlock % (MPerXdl * MXdlPerWave) == 0) &&
                          (NPerBlock % (NXdlPerWave * NPerXdl)) == 0,
                      "Invalid tuning param!");
 
        const auto M  = a_grid_desc_k0_m_k1.GetLength(I1);
        const auto N  = b_grid_desc_k0_n_k1.GetLength(I1);
        const auto K0 = a_grid_desc_k0_m_k1.GetLength(I0);
 
        if(!(M == c_grid_desc_m_n.GetLength(I0) && N == c_grid_desc_m_n.GetLength(I1) &&
             K0 == b_grid_desc_k0_n_k1.GetLength(I0) && K1 == a_grid_desc_k0_m_k1.GetLength(I2) &&
             K1 == b_grid_desc_k0_n_k1.GetLength(I2)))
            return false;
 
        if(!(M % MPerBlock == 0 && N % NPerBlock == 0 && K0 % K0PerBlock == 0))
            return false;
 
        // 2-stage prefetch currently only support even number of K0 loop
        // TODO: add support for odd number of K0 loop
        if(!((K0 / K0PerBlock) % BBlockBufferSize == 0))
        {
            return false;
        }
 
        // check M01, N01
        constexpr auto M1 = Number<MPerBlock>{};
        constexpr auto N1 = Number<NPerBlock>{};
 
        const auto M0 = M / M1;
        const auto N0 = N / N1;
 
        if(!(M0 % M01 == 0 && N0 % N01 == 0))
            return false;
 
        // TODO: also check validity of all components (blockwise-copy, threadwise-copy, etc)
        return true;
    }
 
    __host__ __device__ static constexpr index_t
    CalculateGridSize(const CGridDesc_M_N& c_grid_desc_m_n)
    {
        const auto M = c_grid_desc_m_n.GetLength(I0);
        const auto N = c_grid_desc_m_n.GetLength(I1);
 
        const index_t grid_size = (M / MPerBlock) * (N / NPerBlock);
 
        return grid_size;
    }
 
    // TODO move this function into GEMM-pipeline class
    __host__ __device__ static constexpr bool CalculateHasMainK0BlockLoop(index_t K0)
    {
        const bool has_main_k0_block_loop = (K0 / (BBlockBufferSize * K0PerBlock)) > 1;
 
        return has_main_k0_block_loop;
    }
 
    __host__ __device__ static constexpr auto
    MakeBGridDescriptor_K0_K1_K2_N0_N1_N2_N3_K3(const BGridDesc_K0_N_K1& b_grid_desc_k0_n_k1)
    {
        const auto K0 = b_grid_desc_k0_n_k1.GetLength(I0);
        const auto N  = b_grid_desc_k0_n_k1.GetLength(I1);
 
        const auto b_griddesc_k0_nblockid_nrepeat_waves_nperxdlops_k1 = transform_tensor_descriptor(
            b_grid_desc_k0_n_k1,
            make_tuple(make_unmerge_transform(
                           make_tuple(K0 / K0PerBlock, xdlops_gemm.K0PerXdlops, K0PerThread)),
                       make_unmerge_transform(make_tuple(
                           N / (NXdlPerWave * NWaves * NPerXdl), NXdlPerWave, NWaves, NPerXdl)),
                       make_pass_through_transform(K1)),
            make_tuple(Sequence<0>{}, Sequence<1>{}, Sequence<2>{}),
            make_tuple(Sequence<0, 1, 2>{}, Sequence<3, 4, 5, 6>{}, Sequence<7>{}));
        return b_griddesc_k0_nblockid_nrepeat_waves_nperxdlops_k1;
    }
 
    __device__ static auto GetWaveIdx()
    {
        const index_t thread_id = get_thread_local_1d_id();
 
        constexpr auto threadid_to_wave_idx_adaptor = make_single_stage_tensor_adaptor(
            make_tuple(make_merge_transform(make_tuple(MWaves, NWaves, WaveSize))),
            make_tuple(Sequence<0, 1, 2>{}),
            make_tuple(Sequence<0>{}));
 
        return threadid_to_wave_idx_adaptor.CalculateBottomIndex(make_multi_index(thread_id));
    }
 
    __device__ static auto GetWaveKNIdx(const index_t thread_id)
    {
        constexpr auto wave_threadid_to_nk_idx_adaptor = make_single_stage_tensor_adaptor(
            make_tuple(make_merge_transform(make_tuple(xdlops_gemm.K0PerXdlops, NPerXdl))),
            make_tuple(Sequence<0, 1>{}),
            make_tuple(Sequence<0>{}));
 
        return wave_threadid_to_nk_idx_adaptor.CalculateBottomIndex(make_multi_index(thread_id));
    }
 
    __host__ __device__ static constexpr auto
    MakeCGridDescriptor_M0_N0_M1_N1_M2_M3_M4_N2(const CGridDesc_M_N& c_grid_desc_m_n)
    {
        constexpr auto max_lds_align = K1;
 
        // A matrix in LDS memory, dst of blockwise copy
        constexpr auto a_block_desc_k0_m_k1 = [&]() {
            if constexpr(ABlockLdsExtraM)
            {
                return make_naive_tensor_descriptor(
                    make_tuple(Number<K0PerBlock>{}, Number<MPerBlock>{}, K1),
                    make_tuple(Number<MPerBlock + 1>{} * K1, K1, I1));
            }
            else
            {
                return make_naive_tensor_descriptor_aligned(
                    make_tuple(Number<K0PerBlock>{}, Number<MPerBlock>{}, K1), max_lds_align);
            }
        }();
 
        // B matrix threadwise copy
        constexpr auto b_thread_desc_k0_k1_k2_n0_n1_n2_n3_k3 =
            make_naive_tensor_descriptor_packed(make_tuple(I1,
                                                           I1,
                                                           Number<K0PerThread>{}, // K0PerThread
                                                           I1,                    // NBlockId
                                                           Number<NXdlPerWave>{}, // repeat
                                                           I1,                    // waves
                                                           I1,                    // NPerXdlops
                                                           Number<K1>{}));
 
        using BlockwiseGemm = BlockwiseGemmXdlops_k0mk1_k0nk1_m0n0m1n1m2m3m4n2_v1r1<
            BlockSize,
            FloatAB,
            FloatAcc,
            decltype(a_block_desc_k0_m_k1),
            decltype(b_thread_desc_k0_k1_k2_n0_n1_n2_n3_k3),
            MPerBlock,
            NPerBlock,
            K0PerBlock,
            MPerXdl,
            NPerXdl,
            MXdlPerWave,
            NXdlPerWave,
            K1>;
 
        return BlockwiseGemm::MakeCGridDescriptor_M0_N0_M1_N1_M2_M3_M4_N2(c_grid_desc_m_n);
    }
 
    // return block_id to C matrix tile idx (m0, n0) mapping
    __host__ __device__ static constexpr auto
    MakeDefaultBlock2CTileMap(const CGridDesc_M_N& c_grid_desc_m_n, index_t M01, index_t N01)
    {
        const auto M = c_grid_desc_m_n.GetLength(I0);
        const auto N = c_grid_desc_m_n.GetLength(I1);
 
        constexpr auto M1 = Number<MPerBlock>{};
        constexpr auto N1 = Number<NPerBlock>{};
 
        const auto M0 = M / M1;
        const auto N0 = N / N1;
 
        const auto M00 = M0 / M01;
        const auto N00 = N0 / N01;
 
        const auto m00_m01_n00_n01_to_m0_n0_block_cluster_adaptor =
            make_single_stage_tensor_adaptor(
                make_tuple(make_unmerge_transform(make_tuple(M00, M01)),
                           make_unmerge_transform(make_tuple(N00, N01))),
                make_tuple(Sequence<0>{}, Sequence<1>{}),
                make_tuple(Sequence<0, 2>{}, Sequence<1, 3>{}));
 
        const auto cblockid_to_m00_m01_n00_n01_block_cluster_adaptor =
            make_single_stage_tensor_adaptor(
                make_tuple(make_merge_transform(make_tuple(M00, N00, M01, N01))),
                make_tuple(Sequence<0, 1, 2, 3>{}),
                make_tuple(Sequence<0>{}));
 
        const auto cblockid_to_m0_n0_block_cluster_adaptor =
            chain_tensor_adaptors(m00_m01_n00_n01_to_m0_n0_block_cluster_adaptor,
                                  cblockid_to_m00_m01_n00_n01_block_cluster_adaptor);
 
        return cblockid_to_m0_n0_block_cluster_adaptor;
    }
 
    using DefaultBlock2CTileMap = decltype(MakeDefaultBlock2CTileMap(CGridDesc_M_N{}, 1, 1));
 
    template <bool HasMainK0BlockLoop,
              typename BGridDesc_K0_K1_K2_N0_N1_N2_N3_K3,
              typename CGridDesc_M0_N0_M1_N1_M2_M3_M4_N2,
              typename Block2CTileMap = DefaultBlock2CTileMap>
    __device__ static void
    Run(const FloatAB* __restrict__ p_a_grid,
        const FloatAB* __restrict__ p_b_grid,
        FloatC* __restrict__ p_c_grid,
        void* __restrict__ p_shared,
        const AGridDesc_K0_M_K1& a_grid_desc_k0_m_k1,
        const BGridDesc_K0_K1_K2_N0_N1_N2_N3_K3& b_grid_desc_k0_k1_k2_n0_n1_n2_n3_k3,
        const CGridDesc_M0_N0_M1_N1_M2_M3_M4_N2& c_grid_desc_m0_n0_m1_n1_m2_m3_m4_n2,
        const AElementwiseOperation& a_element_op,
        const BElementwiseOperation& b_element_op,
        const CElementwiseOperation& c_element_op,
        const Block2CTileMap& block_2_ctile_map)
    {
        const auto a_grid_buf = make_dynamic_buffer<AddressSpaceEnum::Global>(
            p_a_grid, a_grid_desc_k0_m_k1.GetElementSpaceSize());
        const auto b_grid_buf = make_dynamic_buffer<AddressSpaceEnum::Global>(
            p_b_grid, b_grid_desc_k0_k1_k2_n0_n1_n2_n3_k3.GetElementSpaceSize());
        auto c_grid_buf = make_dynamic_buffer<AddressSpaceEnum::Global>(
            p_c_grid, c_grid_desc_m0_n0_m1_n1_m2_m3_m4_n2.GetElementSpaceSize());
 
        const auto K0 = a_grid_desc_k0_m_k1.GetLength(I0);
 
        // divide block work by [M, N]
        const auto block_work_idx =
            block_2_ctile_map.CalculateBottomIndex(make_multi_index(get_block_1d_id()));
 
        // 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);
 
        // A matrix in LDS memory, dst of blockwise copy
        constexpr auto a_block_desc_k0_m_k1 = GetABlockDescriptor_K0PerBlock_MPerBlock_K1();
 
        // A matrix blockwise copy
        auto a_blockwise_copy = ThreadGroupTensorSliceTransfer_v4r1<
            ThisThreadBlock,
            AElementwiseOperation,
            ck::tensor_operation::element_wise::PassThrough,
            InMemoryDataOperationEnum::Set,
            Sequence<K0PerBlock * BBlockBufferSize, MPerBlock, K1>,
            ABlockTransferThreadClusterLengths_K0_M_K1,
            ABlockTransferThreadClusterArrangeOrder,
            FloatAB,
            FloatAB,
            decltype(a_grid_desc_k0_m_k1),
            decltype(a_block_desc_k0_m_k1),
            ABlockTransferSrcAccessOrder,
            Sequence<1, 0, 2>,
            ABlockTransferSrcVectorDim,
            2,
            ABlockTransferSrcScalarPerVector,
            ABlockTransferDstScalarPerVector_K1,
            1,
            1,
            AThreadTransferSrcResetCoordinateAfterRun,
            true,
            1>(a_grid_desc_k0_m_k1,
               make_multi_index(0, m_block_data_idx_on_grid, 0),
               a_element_op,
               a_block_desc_k0_m_k1,
               make_multi_index(0, 0, 0),
               ck::tensor_operation::element_wise::PassThrough{});
 
        ignore = b_element_op;
        // B matrix threadwise copy
        constexpr auto b_thread_desc_k0_k1_k2_n0_n1_n2_n3_k3 =
            make_naive_tensor_descriptor_packed(make_tuple(I1,
                                                           I1,
                                                           Number<K0PerThread>{}, // K0PerThread
                                                           I1,                    // NBlockId
                                                           Number<NXdlPerWave>{}, // repeat
                                                           I1,                    // waves
                                                           I1,                    // NPerXdlops
                                                           Number<K1>{}));
 
        auto b_thread_buf = generate_tuple(
            [&](auto i) {
                ignore = i;
                return StaticBuffer<AddressSpaceEnum::Vgpr,
                                    FloatAB,
                                    b_thread_desc_k0_k1_k2_n0_n1_n2_n3_k3.GetElementSpaceSize(),
                                    true>{};
            },
            Number<BBlockBufferSize>{});
 
        const auto wave_id     = GetWaveIdx();
        const auto wave_k_n_id = GetWaveKNIdx(wave_id[I2]);
 
#if 0
        const index_t block_id  = get_block_1d_id();
        const index_t thread_id = get_thread_local_1d_id();
        printf("block id: %d  m blockid: %d n block id: %d ,thread id: %d, wave id :{%d %d %d} "
               "kn id: {%d %d}\n",
               block_id,
               block_work_idx[I0],
               block_work_idx[I1],
               thread_id,
               wave_id[I0],
               wave_id[I1],
               wave_id[I2],
               wave_k_n_id[I0],
               wave_k_n_id[I1]);
        printf("mfma thread k per xdlops: %d K0PerThread: %d HasMainK0BlockLoop: %d K0: %d  \t", 
                xdlops_gemm.K0PerXdlops, K0PerThread, HasMainK0BlockLoop, b_grid_desc_k0_k1_k2_n0_n1_n2_n3_k3.GetLength(I0));
#endif
 
        auto b_threadwise_copy =
            ThreadwiseTensorSliceTransfer_v2<FloatAB,
                                             FloatAB,
                                             decltype(b_grid_desc_k0_k1_k2_n0_n1_n2_n3_k3),
                                             decltype(b_thread_desc_k0_k1_k2_n0_n1_n2_n3_k3),
                                             Sequence<I1,
                                                      I1,
                                                      Number<K0PerThread>{},
                                                      I1,
                                                      Number<NXdlPerWave>{},
                                                      I1,
                                                      I1,
                                                      Number<K1>{}>,
                                             Sequence<0, 1, 2, 3, 4, 5, 6, 7>,
                                             7,
                                             BBlockTransferSrcScalarPerVector,
                                             BThreadTransferSrcResetCoordinateAfterRun,
                                             true>(
                b_grid_desc_k0_k1_k2_n0_n1_n2_n3_k3,
                make_multi_index(
                    0, wave_k_n_id[I0], 0, block_work_idx[I1], 0, wave_id[I1], wave_k_n_id[I1], 0));
 
        // 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
        auto blockwise_gemm = BlockwiseGemmXdlops_k0mk1_k0nk1_m0n0m1n1m2m3m4n2_v1r1<
            BlockSize,
            FloatAB,
            FloatAcc,
            decltype(a_block_desc_k0_m_k1),
            decltype(b_thread_desc_k0_k1_k2_n0_n1_n2_n3_k3),
            MPerBlock,
            NPerBlock,
            K0PerBlock,
            MPerXdl,
            NPerXdl,
            MXdlPerWave,
            NXdlPerWave,
            K1>{};
 
        auto c_thread_buf = blockwise_gemm.GetCThreadBuffer();
 
        // LDS allocation for A
        auto a_block_buf = make_dynamic_buffer<AddressSpaceEnum::Lds>(
            static_cast<FloatAB*>(p_shared), a_block_desc_k0_m_k1.GetElementSpaceSize());
 
        // gridwise GEMM pipeline
        constexpr auto a_block_slice_copy_step =
            make_multi_index(K0PerBlock * BBlockBufferSize, 0, 0);
        constexpr auto b_thread_slice_copy_step = make_multi_index(1, 0, 0, 0, 0, 0, 0, 0);
        // preload data to regiester and LDS
        {
            // Read
            a_blockwise_copy.RunRead(a_grid_desc_k0_m_k1, a_grid_buf);
            a_blockwise_copy.MoveSrcSliceWindow(a_grid_desc_k0_m_k1, a_block_slice_copy_step);
 
            static_for<0, BBlockBufferSize, 1>{}([&](auto ii) {
                b_threadwise_copy.Run(b_grid_desc_k0_k1_k2_n0_n1_n2_n3_k3,
                                      b_grid_buf,
                                      b_thread_desc_k0_k1_k2_n0_n1_n2_n3_k3,
                                      make_tuple(I0, I0, I0, I0, I0, I0, I0, I0),
                                      b_thread_buf(Number<ii>{}));
                b_threadwise_copy.MoveSrcSliceWindow(b_grid_desc_k0_k1_k2_n0_n1_n2_n3_k3,
                                                     b_thread_slice_copy_step);
            });
 
            // Initialize C
            c_thread_buf.Clear();
            // a data write to lds
            a_blockwise_copy.RunWrite(a_block_desc_k0_m_k1, a_block_buf);
            // main body
            if constexpr(HasMainK0BlockLoop)
            {
                index_t K0BlockMainLoop =
                    __builtin_amdgcn_readfirstlane(K0 / (BBlockBufferSize * K0PerBlock));
                index_t i = 0;
                do
                {
                    a_blockwise_copy.RunRead(a_grid_desc_k0_m_k1, a_grid_buf);
                    blockwise_gemm.ResetABlockStartWindow();
                    block_sync_lds();
 
                    static_for<0, BBlockBufferSize, 1>{}([&](auto ii) {
                        blockwise_gemm.Run(a_block_buf, b_thread_buf(Number<ii>{}), c_thread_buf);
                        blockwise_gemm.MoveABlockSliceWindow();
                        s_nop();
 
                        b_threadwise_copy.Run(b_grid_desc_k0_k1_k2_n0_n1_n2_n3_k3,
                                              b_grid_buf,
                                              b_thread_desc_k0_k1_k2_n0_n1_n2_n3_k3,
                                              make_tuple(I0, I0, I0, I0, I0, I0, I0, I0),
                                              b_thread_buf(Number<ii>{}));
                        b_threadwise_copy.MoveSrcSliceWindow(b_grid_desc_k0_k1_k2_n0_n1_n2_n3_k3,
                                                             b_thread_slice_copy_step);
                    });
 
                    block_sync_lds();
                    a_blockwise_copy.RunWrite(a_block_desc_k0_m_k1, a_block_buf);
                    // move a and b window
                    a_blockwise_copy.MoveSrcSliceWindow(a_grid_desc_k0_m_k1,
                                                        a_block_slice_copy_step);
 
                    i += 1;
                } while(i < (K0BlockMainLoop - 1));
            }
 
            // tail
            {
                block_sync_lds();
 
                blockwise_gemm.ResetABlockStartWindow();
 
                static_for<0, BBlockBufferSize, 1>{}([&](auto ii) {
                    blockwise_gemm.Run(a_block_buf, b_thread_buf(Number<ii>{}), c_thread_buf);
                    blockwise_gemm.MoveABlockSliceWindow();
                });
            }
        }
 
        // output: register to global memory
        {
            constexpr auto c_thread_desc_m0_n0_m1_n1_m2_m3_m4_n2 =
                blockwise_gemm.GetCThreadDescriptor_M0_N0_M1_N1_M2_M3_M4_N2();
 
            constexpr auto c_block_desc_m0_n0_m1_n1_m2_m3_m4_n2 =
                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.GetLength(I0);
            constexpr auto N0 = c_block_desc_m0_n0_m1_n1_m2_m3_m4_n2.GetLength(I1);
            constexpr auto M1 = c_block_desc_m0_n0_m1_n1_m2_m3_m4_n2.GetLength(I2);
            constexpr auto N1 = c_block_desc_m0_n0_m1_n1_m2_m3_m4_n2.GetLength(I3);
            constexpr auto M2 = c_block_desc_m0_n0_m1_n1_m2_m3_m4_n2.GetLength(I4);
            constexpr auto M3 = c_block_desc_m0_n0_m1_n1_m2_m3_m4_n2.GetLength(I5);
            constexpr auto M4 = c_block_desc_m0_n0_m1_n1_m2_m3_m4_n2.GetLength(I6);
            constexpr auto N2 = c_block_desc_m0_n0_m1_n1_m2_m3_m4_n2.GetLength(I7);
 
            // 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_grid =
                m_block_data_idx_on_grid + c_thread_mtx_on_block[I0];
 
            const index_t n_thread_data_on_grid =
                n_block_data_idx_on_grid + c_thread_mtx_on_block[I1];
 
            const auto m_thread_data_on_grid_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_grid_idx =
                m_thread_data_on_grid_to_m0_m1_m2_m3_m4_adaptor.CalculateBottomIndex(
                    make_multi_index(m_thread_data_on_grid));
 
            const auto n_thread_data_on_grid_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_grid_idx =
                n_thread_data_on_grid_to_n0_n1_n2_adaptor.CalculateBottomIndex(
                    make_multi_index(n_thread_data_on_grid));
 
            auto c_thread_copy =
                ThreadwiseTensorSliceTransfer_v1r3<FloatAcc,
                                                   FloatC,
                                                   decltype(c_thread_desc_m0_n0_m1_n1_m2_m3_m4_n2),
                                                   decltype(c_grid_desc_m0_n0_m1_n1_m2_m3_m4_n2),
                                                   CElementwiseOperation,
                                                   Sequence<M0, N0, I1, I1, M2, I1, M4, I1>,
                                                   CThreadTransferSrcDstAccessOrder,
                                                   CThreadTransferSrcDstVectorDim,
                                                   CThreadTransferDstScalarPerVector,
                                                   CGlobalMemoryDataOperation,
                                                   1,
                                                   true>{
                    c_grid_desc_m0_n0_m1_n1_m2_m3_m4_n2,
                    make_multi_index(m_thread_data_on_grid_idx[I0],
                                     n_thread_data_on_grid_idx[I0],
                                     m_thread_data_on_grid_idx[I1],
                                     n_thread_data_on_grid_idx[I1],
                                     m_thread_data_on_grid_idx[I2],
                                     m_thread_data_on_grid_idx[I3],
                                     m_thread_data_on_grid_idx[I4],
                                     n_thread_data_on_grid_idx[I2]),
                    c_element_op};
 
            c_thread_copy.Run(c_thread_desc_m0_n0_m1_n1_m2_m3_m4_n2,
                              make_tuple(I0, I0, I0, I0, I0, I0, I0, I0),
                              c_thread_buf,
                              c_grid_desc_m0_n0_m1_n1_m2_m3_m4_n2,
                              c_grid_buf);
        }
    }
};
 
} // namespace ck