Merge pull request #3 from ROCmSoftwarePlatform/downstream-internal

Downstream from public to internal

include/ck/tensor_operation/gpu/grid/gemm_layernorm/gridwise_gemm_multiple_d_welford_first_half_xdl_cshuffle.hpp

+// SPDX-License-Identifier: MIT
+// Copyright (c) 2018-2022, Advanced Micro Devices, Inc. All rights reserved.
+
+#pragma once
+
+#include "ck/utility/common_header.hpp"
+#include "ck/tensor_description/multi_index_transform_helper.hpp"
+#include "ck/tensor_description/tensor_descriptor.hpp"
+#include "ck/tensor_description/tensor_descriptor_helper.hpp"
+#include "ck/tensor_operation/gpu/grid/block_to_ctile_map.hpp"
+#include "ck/tensor_operation/gpu/grid/gridwise_gemm_pipeline_selector.hpp"
+#include "ck/tensor_operation/gpu/block/blockwise_gemm_xdlops.hpp"
+#include "ck/tensor_operation/gpu/block/thread_group_tensor_slice_transfer_v4r1.hpp"
+#include "ck/tensor_operation/gpu/block/thread_group_tensor_slice_transfer_v7.hpp"
+#include "ck/tensor_operation/gpu/thread/threadwise_tensor_slice_transfer.hpp"
+#include "ck/tensor_operation/gpu/element/element_wise_operation.hpp"
+#include "ck/tensor_operation/gpu/block/blockwise_welford.hpp"
+#include "ck/tensor_operation/gpu/thread/threadwise_welford.hpp"
+
+namespace ck {
+
+// GEMM:
+//   input : A[M, K]
+//   input : B[N, K]
+//   input : D0[M, N], D1[M, N], ...
+//   output : E[M, N]
+//   output : F[M, N0], where N0 is number of blocks along N dimension
+//   output : G[M, N0], where N0 is number of blocks along N dimension
+//   C = a_op(A) * b_op(B)
+//   E = cde_op(C, D0, D1, ...)
+//   F, G = welford(E)
+// Assume:
+//   D0, D1, ... and E have the same layout
+//   Calculate mean & variance along N dimension for E
+template <typename ABDataType,
+          typename AccDataType,
+          typename CShuffleDataType,
+          typename DsDataType,
+          typename EMeanVarDataType,
+          typename AElementwiseOperation,
+          typename BElementwiseOperation,
+          typename CDEElementwiseOperation,
+          InMemoryDataOperationEnum EGlobalMemoryDataOperation,
+          typename AGridDesc_M_K,
+          typename BGridDesc_N_K,
+          typename DsGridDesc_M_N,
+          typename EGridDesc_M_N,
+          typename MeanVarGridDesc_M_NBlock,
+          typename CountGridDesc_M_NBlock,
+          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 PostShuffleThreadClusterSize_M_N,
+          index_t PostShuffleScalarPerVector,
+          LoopScheduler LoopSched,
+          PipelineVersion PipelineVer = PipelineVersion::v1>
+struct GridwiseGemmMultipleDWelfordFirstHalf_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 = remove_cvref_t<decltype(
+        GridwiseGemmPipeline_Selector<PipelineVer, NumGemmKPrefetchStage, LoopSched>())>;
+
+    __host__ __device__ static constexpr auto GetABlockDescriptor_AK0PerBlock_MPerBlock_AK1()
+    {
+        // A matrix in LDS memory, dst of blockwise copy
+        return make_naive_tensor_descriptor(
+            make_tuple(AK0PerBlock, Number<MPerBlock>{}, AK1),
+            make_tuple(Number<MPerBlock + ABlockLdsExtraM>{} * AK1, AK1, I1));
+    }
+
+    __host__ __device__ static constexpr auto GetBBlockDescriptor_BK0PerBlock_NPerBlock_BK1()
+    {
+        // B matrix in LDS memory, dst of blockwise copy
+        return make_naive_tensor_descriptor(
+            make_tuple(BK0PerBlock, Number<NPerBlock>{}, BK1),
+            make_tuple(Number<NPerBlock + BBlockLdsExtraN>{} * BK1, BK1, I1));
+    }
+
+    __host__ __device__ static constexpr auto
+    GetCShuffleBlockDescriptor_MBlock_MPerBlock_NBlock_NPerBlock()
+    {
+        constexpr index_t MWave = MPerBlock / (MXdlPerWave * MPerXdl);
+        constexpr index_t NWave = NPerBlock / (NXdlPerWave * NPerXdl);
+
+        constexpr auto c_shuffle_block_desc_mblock_mperblock_nblock_nperblock =
+            make_naive_tensor_descriptor_packed(
+                make_tuple(I1,
+                           Number<CShuffleMXdlPerWavePerShuffle * MWave * MPerXdl>{},
+                           I1,
+                           Number<CShuffleNXdlPerWavePerShuffle * NWave * NPerXdl>{}));
+
+        return c_shuffle_block_desc_mblock_mperblock_nblock_nperblock;
+    }
+
+    // ck::Tuple<const D0DataType*, const D1DataType*, ...>
+    static constexpr auto MakeDsGridPointer()
+    {
+        return generate_tuple(
+            [&](auto i) {
+                using DDataType = remove_cvref_t<tuple_element_t<i.value, DsDataType>>;
+
+                return static_cast<const DDataType*>(nullptr);
+            },
+            Number<NumDTensor>{});
+    }
+
+    __host__ __device__ static constexpr index_t GetSharedMemoryNumberOfByte()
+    {
+        // LDS allocation for A and B: be careful of alignment
+        constexpr auto a_block_desc_ak0_m_ak1 = GetABlockDescriptor_AK0PerBlock_MPerBlock_AK1();
+        constexpr auto b_block_desc_bk0_n_bk1 = GetBBlockDescriptor_BK0PerBlock_NPerBlock_BK1();
+
+        // lds max alignment
+        constexpr auto max_lds_align = math::lcm(AK1, BK1);
+
+        constexpr auto a_block_space_size_aligned = math::integer_least_multiple(
+            a_block_desc_ak0_m_ak1.GetElementSpaceSize(), max_lds_align);
+
+        constexpr auto b_block_space_size_aligned = math::integer_least_multiple(
+            b_block_desc_bk0_n_bk1.GetElementSpaceSize(), max_lds_align);
+
+        // LDS allocation for C shuffle in LDS
+        constexpr auto c_shuffle_block_desc_mblock_mperblock_nblock_nperblock =
+            GetCShuffleBlockDescriptor_MBlock_MPerBlock_NBlock_NPerBlock();
+
+        constexpr auto c_block_size =
+            c_shuffle_block_desc_mblock_mperblock_nblock_nperblock.GetElementSpaceSize();
+
+        return math::max((a_block_space_size_aligned + 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_AK0_M_AK1(const AGridDesc_M_K& a_grid_desc_m_k)
+    {
+        const auto M = a_grid_desc_m_k.GetLength(I0);
+        const auto K = a_grid_desc_m_k.GetLength(I1);
+
+        const auto AK0 = K / AK1;
+
+        return transform_tensor_descriptor(a_grid_desc_m_k,
+                                           make_tuple(make_unmerge_transform(make_tuple(AK0, AK1)),
+                                                      make_pass_through_transform(M)),
+                                           make_tuple(Sequence<1>{}, Sequence<0>{}),
+                                           make_tuple(Sequence<0, 2>{}, Sequence<1>{}));
+    }
+
+    // B desc for source in blockwise copy
+    __host__ __device__ static constexpr auto
+    MakeDefaultBGridDescriptor_BK0_N_BK1(const BGridDesc_N_K& b_grid_desc_n_k)
+    {
+        const auto N = b_grid_desc_n_k.GetLength(I0);
+        const auto K = b_grid_desc_n_k.GetLength(I1);
+
+        const auto BK0 = K / BK1;
+
+        return transform_tensor_descriptor(b_grid_desc_n_k,
+                                           make_tuple(make_unmerge_transform(make_tuple(BK0, BK1)),
+                                                      make_pass_through_transform(N)),
+                                           make_tuple(Sequence<1>{}, Sequence<0>{}),
+                                           make_tuple(Sequence<0, 2>{}, Sequence<1>{}));
+    }
+
+    // E desc for destination in blockwise copy
+    template <typename 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>{});
+    }
+
+    template <typename GridDescriptor_M_N>
+    __host__ __device__ static constexpr auto
+    MakeMeanVarCountGridDescriptor_MBlock_MPerBlock_NBlock(const GridDescriptor_M_N& grid_desc_m_n)
+    {
+        const auto M      = grid_desc_m_n.GetLength(I0);
+        const auto NBlock = grid_desc_m_n.GetLength(I1);
+        const auto MBlock = M / MPerBlock;
+
+        const auto grid_desc_mblock_mperblock_nblock = transform_tensor_descriptor(
+            grid_desc_m_n,
+            make_tuple(make_unmerge_transform(make_tuple(MBlock, Number<MPerBlock>{})),
+                       make_pass_through_transform(NBlock)),
+            make_tuple(Sequence<0>{}, Sequence<1>{}),
+            make_tuple(Sequence<0, 1>{}, Sequence<2>{}));
+
+        return grid_desc_mblock_mperblock_nblock;
+    }
+
+    // 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)
+    {
+        return BlockToCTileMap_M00_N0_M01Adapt<MPerBlock, NPerBlock, EGridDesc_M_N>(
+            e_grid_desc_m_n);
+    }
+
+    // block_id to matrix tile idx (m0, n0) mapping are controlled by {M01, N01}
+    template <typename Block2ETileMap>
+    __host__ __device__ static constexpr bool CheckValidity(const AGridDesc_M_K& a_grid_desc_m_k,
+                                                            const BGridDesc_N_K& b_grid_desc_n_k,
+                                                            const DsGridDesc_M_N& ds_grid_desc_m_n,
+                                                            const EGridDesc_M_N& e_grid_desc_m_n,
+                                                            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_m_k.GetLength(I0);
+        const auto N = b_grid_desc_n_k.GetLength(I0);
+        const auto K = a_grid_desc_m_k.GetLength(I1);
+
+        // 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_m_k.GetElementSpaceSize() * sizeof(ABDataType) <= TwoGB &&
+             b_grid_desc_n_k.GetElementSpaceSize() * sizeof(ABDataType) <= TwoGB &&
+             e_grid_desc_m_n.GetElementSpaceSize() * sizeof(EMeanVarDataType) <= 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_AK0_M_AK1(AGridDesc_M_K{}))>;
+    using DefaultBGridDesc_BK0_N_BK1 =
+        remove_cvref_t<decltype(MakeDefaultBGridDescriptor_BK0_N_BK1(BGridDesc_N_K{}))>;
+    using EGridDescriptor_MBlock_MPerBlock_NBlock_NPerBlock  = remove_cvref_t<decltype(
+        MakeEGridDescriptor_MBlock_MPerBlock_NBlock_NPerBlock(EGridDesc_M_N{}))>;
+    using MeanVarGridDescriptor_MBlock_MPerBlock_NBlock      = remove_cvref_t<decltype(
+        MakeMeanVarCountGridDescriptor_MBlock_MPerBlock_NBlock(MeanVarGridDesc_M_NBlock{}))>;
+    using CountGridDescriptor_MBlock_MPerBlock_NBlock        = remove_cvref_t<decltype(
+        MakeMeanVarCountGridDescriptor_MBlock_MPerBlock_NBlock(CountGridDesc_M_NBlock{}))>;
+    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{}))>;
+
+    using DsGridPointer = decltype(MakeDsGridPointer());
+
+    template <bool HasMainKBlockLoop,
+              typename AGridDesc_AK0_M_AK1,
+              typename BGridDesc_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,
+        EMeanVarDataType* __restrict__ p_e_grid,
+        EMeanVarDataType* __restrict__ p_welford_mean_grid,
+        EMeanVarDataType* __restrict__ p_welford_var_grid,
+        int32_t* __restrict__ p_welford_count,
+        void* __restrict__ p_shared,
+        const AElementwiseOperation& a_element_op,
+        const BElementwiseOperation& b_element_op,
+        const CDEElementwiseOperation& cde_element_op,
+        const AGridDesc_AK0_M_AK1& a_grid_desc_ak0_m_ak1,
+        const BGridDesc_BK0_N_BK1& b_grid_desc_bk0_n_bk1,
+        const 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 MeanVarGridDescriptor_MBlock_MPerBlock_NBlock&
+            mean_var_grid_desc_mblock_mperblock_nblock,
+        const CountGridDescriptor_MBlock_MPerBlock_NBlock& count_grid_desc_mblock_mperblock_nblock,
+        const Block2ETileMap& block_2_etile_map,
+        index_t NRaw)
+    {
+        const auto a_grid_buf = make_dynamic_buffer<AddressSpaceEnum::Global>(
+            p_a_grid, a_grid_desc_ak0_m_ak1.GetElementSpaceSize());
+
+        const auto b_grid_buf = make_dynamic_buffer<AddressSpaceEnum::Global>(
+            p_b_grid, b_grid_desc_bk0_n_bk1.GetElementSpaceSize());
+
+        const auto ds_grid_buf = generate_tuple(
+            [&](auto i) {
+                return make_dynamic_buffer<AddressSpaceEnum::Global>(
+                    p_ds_grid[i],
+                    ds_grid_desc_mblock_mperblock_nblock_nperblock[i].GetElementSpaceSize());
+            },
+            Number<NumDTensor>{});
+
+        auto e_grid_buf = make_dynamic_buffer<AddressSpaceEnum::Global>(
+            p_e_grid, e_grid_desc_mblock_mperblock_nblock_nperblock.GetElementSpaceSize());
+
+        auto mean_grid_buf = make_dynamic_buffer<AddressSpaceEnum::Global>(
+            p_welford_mean_grid, mean_var_grid_desc_mblock_mperblock_nblock.GetElementSpaceSize());
+
+        auto var_grid_buf = make_dynamic_buffer<AddressSpaceEnum::Global>(
+            p_welford_var_grid, mean_var_grid_desc_mblock_mperblock_nblock.GetElementSpaceSize());
+
+        auto welford_count_grid_buf = make_dynamic_buffer<AddressSpaceEnum::Global>(
+            p_welford_count, count_grid_desc_mblock_mperblock_nblock.GetElementSpaceSize());
+
+        // divide block work by [M, N]
+        const auto block_work_idx =
+            block_2_etile_map.CalculateBottomIndex(make_multi_index(get_block_1d_id()));
+
+        if(!block_2_etile_map.ValidCTileIndex(
+               block_work_idx,
+               make_tuple(e_grid_desc_mblock_mperblock_nblock_nperblock.GetLength(I0),
+                          e_grid_desc_mblock_mperblock_nblock_nperblock.GetLength(I2))))
+        {
+            return;
+        }
+
+        // HACK: this force m/n_block_data_idx_on_grid into SGPR
+        const index_t m_block_data_idx_on_grid =
+            __builtin_amdgcn_readfirstlane(block_work_idx[I0] * MPerBlock);
+
+        const index_t n_block_data_idx_on_grid =
+            __builtin_amdgcn_readfirstlane(block_work_idx[I1] * NPerBlock);
+
+        // lds max alignment
+        constexpr auto max_lds_align = math::lcm(AK1, BK1);
+
+        // A matrix in LDS memory, dst of blockwise copy
+        constexpr auto a_block_desc_ak0_m_ak1 = GetABlockDescriptor_AK0PerBlock_MPerBlock_AK1();
+
+        // B matrix in LDS memory, dst of blockwise copy
+        constexpr auto b_block_desc_bk0_n_bk1 = GetBBlockDescriptor_BK0PerBlock_NPerBlock_BK1();
+
+        // A matrix blockwise copy
+        auto a_blockwise_copy =
+            ThreadGroupTensorSliceTransfer_v4r1<ThisThreadBlock,
+                                                AElementwiseOperation,
+                                                ck::tensor_operation::element_wise::PassThrough,
+                                                InMemoryDataOperationEnum::Set,
+                                                Sequence<AK0PerBlock, MPerBlock, AK1>,
+                                                ABlockTransferThreadClusterLengths_AK0_M_AK1,
+                                                ABlockTransferThreadClusterArrangeOrder,
+                                                ABDataType,
+                                                ABDataType,
+                                                decltype(a_grid_desc_ak0_m_ak1),
+                                                decltype(a_block_desc_ak0_m_ak1),
+                                                ABlockTransferSrcAccessOrder,
+                                                Sequence<1, 0, 2>,
+                                                ABlockTransferSrcVectorDim,
+                                                2,
+                                                ABlockTransferSrcScalarPerVector,
+                                                ABlockTransferDstScalarPerVector_AK1,
+                                                1,
+                                                1,
+                                                AThreadTransferSrcResetCoordinateAfterRun,
+                                                true,
+                                                NumGemmKPrefetchStage>(
+                a_grid_desc_ak0_m_ak1,
+                make_multi_index(0, m_block_data_idx_on_grid, 0),
+                a_element_op,
+                a_block_desc_ak0_m_ak1,
+                make_multi_index(0, 0, 0),
+                ck::tensor_operation::element_wise::PassThrough{});
+
+        // B matrix blockwise copy
+        auto b_blockwise_copy =
+            ThreadGroupTensorSliceTransfer_v4r1<ThisThreadBlock,
+                                                BElementwiseOperation,
+                                                ck::tensor_operation::element_wise::PassThrough,
+                                                InMemoryDataOperationEnum::Set,
+                                                Sequence<BK0PerBlock, NPerBlock, BK1>,
+                                                BBlockTransferThreadClusterLengths_BK0_N_BK1,
+                                                BBlockTransferThreadClusterArrangeOrder,
+                                                ABDataType,
+                                                ABDataType,
+                                                decltype(b_grid_desc_bk0_n_bk1),
+                                                decltype(b_block_desc_bk0_n_bk1),
+                                                BBlockTransferSrcAccessOrder,
+                                                Sequence<1, 0, 2>,
+                                                BBlockTransferSrcVectorDim,
+                                                2,
+                                                BBlockTransferSrcScalarPerVector,
+                                                BBlockTransferDstScalarPerVector_BK1,
+                                                1,
+                                                1,
+                                                BThreadTransferSrcResetCoordinateAfterRun,
+                                                true,
+                                                NumGemmKPrefetchStage>(
+                b_grid_desc_bk0_n_bk1,
+                make_multi_index(0, n_block_data_idx_on_grid, 0),
+                b_element_op,
+                b_block_desc_bk0_n_bk1,
+                make_multi_index(0, 0, 0),
+                ck::tensor_operation::element_wise::PassThrough{});
+
+        // GEMM definition
+        //   c_mtx += transpose(a_mtx) * b_mtx
+        //     a_mtx[K0PerBlock, MPerBlock] is in LDS
+        //     b_mtx[K0PerBlock, NPerBlock] is in LDS
+        //     c_mtx[MPerBlock, NPerBlock] is distributed among threads, and saved in
+        //       register
+        // sanity check
+        constexpr index_t KPack =
+            math::max(math::lcm(AK1, BK1),
+                      MfmaSelector<ABDataType, MPerXdl, NPerXdl>::selected_mfma.k_per_blk);
+
+        auto blockwise_gemm = BlockwiseGemmXdlops_k0mk1_k0nk1_m0n0m1n1m2m3m4n2_Selector<
+            BlockSize,
+            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(KPerBlock / AK1, 0, 0);
+        constexpr auto b_block_slice_copy_step = make_multi_index(KPerBlock / BK1, 0, 0);
+
+        // gridwise GEMM pipeline
+        const auto gridwise_gemm_pipeline =
+            GridwiseGemmPipeline_Selector<PipelineVer, NumGemmKPrefetchStage, LoopSched>();
+
+        const index_t num_k_block_main_loop = __builtin_amdgcn_readfirstlane(
+            (a_grid_desc_ak0_m_ak1.GetLength(I0) * a_grid_desc_ak0_m_ak1.GetLength(I2)) /
+            KPerBlock);
+
+        gridwise_gemm_pipeline.template Run<HasMainKBlockLoop>(a_grid_desc_ak0_m_ak1,
+                                                               a_block_desc_ak0_m_ak1,
+                                                               a_blockwise_copy,
+                                                               a_grid_buf,
+                                                               a_block_buf,
+                                                               a_block_slice_copy_step,
+                                                               b_grid_desc_bk0_n_bk1,
+                                                               b_block_desc_bk0_n_bk1,
+                                                               b_blockwise_copy,
+                                                               b_grid_buf,
+                                                               b_block_buf,
+                                                               b_block_slice_copy_step,
+                                                               blockwise_gemm,
+                                                               c_thread_buf,
+                                                               num_k_block_main_loop);
+
+        // shuffle C, Welford 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{}};
+
+            // 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>,
+                                  false>{};
+
+            // space filling curve for shuffled blockwise C in global mem
+            constexpr auto sfc_der_global =
+                SpaceFillingCurve<Sequence<1, MPerBlock, 1, NPerBlock>,
+                                  Sequence<0, 2, 1, 3>,
+                                  Sequence<1,
+                                           CShuffleMXdlPerWavePerShuffle * MWave * MPerXdl,
+                                           1,
+                                           CShuffleNXdlPerWavePerShuffle * NWave * NPerXdl>,
+                                  false>{};
+
+            // LDS c_shuffle_block_desc_mperblock_nperblock
+            constexpr auto c_shuffle_block_desc_mperblock_nperblock = transform_tensor_descriptor(
+                c_shuffle_block_desc_mblock_mperblock_nblock_nperblock,
+                make_tuple(
+                    make_freeze_transform(I0),
+                    make_pass_through_transform(
+                        c_shuffle_block_desc_mblock_mperblock_nblock_nperblock.GetLength(I1)),
+                    make_freeze_transform(I0),
+                    make_pass_through_transform(
+                        c_shuffle_block_desc_mblock_mperblock_nblock_nperblock.GetLength(I3))),
+                make_tuple(Sequence<0>{}, Sequence<1>{}, Sequence<2>{}, Sequence<3>{}),
+                make_tuple(Sequence<>{}, Sequence<0>{}, Sequence<>{}, Sequence<1>{}));
+
+            static_assert(PostShuffleThreadClusterSize_M_N::At(I0) *
+                                  PostShuffleThreadClusterSize_M_N::At(I1) ==
+                              BlockSize,
+                          "wrong!");
+
+            static_assert((CShuffleMXdlPerWavePerShuffle * MWave * MPerXdl) %
+                                      PostShuffleThreadClusterSize_M_N::At(I0) ==
+                                  0 &&
+                              (CShuffleNXdlPerWavePerShuffle * NWave * NPerXdl) %
+                                      PostShuffleThreadClusterSize_M_N::At(I1) ==
+                                  0,
+                          "wrong!");
+
+            constexpr index_t PostShuffleThreadSliceSize_M =
+                (CShuffleMXdlPerWavePerShuffle * MWave * MPerXdl) /
+                PostShuffleThreadClusterSize_M_N::At(I0);
+
+            constexpr index_t PostShuffleThreadSliceSize_N =
+                (CShuffleNXdlPerWavePerShuffle * NWave * NPerXdl) /
+                PostShuffleThreadClusterSize_M_N::At(I1);
+
+            constexpr auto PostShuffleThreadSliceSize_M_N =
+                Sequence<PostShuffleThreadSliceSize_M, PostShuffleThreadSliceSize_N>{};
+
+            // VGPR post_shuffle_thread_desc_m_n
+            constexpr auto post_shuffle_thread_desc_m_n = make_naive_tensor_descriptor_packed(
+                make_tuple(Number<PostShuffleThreadSliceSize_M>{},
+                           Number<PostShuffleThreadSliceSize_N>{}));
+
+            auto e_thread_buf = make_static_buffer<AddressSpaceEnum::Vgpr, AccDataType>(
+                post_shuffle_thread_desc_m_n.GetElementSpaceSize());
+
+            // To apply D0, D1, ... and Welford.
+            // threadwise copy from LDS to VGPR
+            constexpr auto post_shuffle_thread_cluster_desc =
+                make_cluster_descriptor(PostShuffleThreadClusterSize_M_N{}, Sequence<0, 1>{});
+
+            const auto post_shuffle_thread_cluster_idx =
+                post_shuffle_thread_cluster_desc.CalculateBottomIndex(
+                    make_multi_index(get_thread_local_1d_id()));
+
+            const auto post_shuffle_thread_data_idx_begin =
+                post_shuffle_thread_cluster_idx * PostShuffleThreadSliceSize_M_N;
+
+            // To apply D0, D1, ... and Welford.
+            // Copy c shuffle from LDS back to VGPR
+            auto post_shuffle_thread_copy_lds_to_vgpr =
+                ThreadwiseTensorSliceTransfer_v2<CShuffleDataType,
+                                                 AccDataType,
+                                                 decltype(c_shuffle_block_desc_mperblock_nperblock),
+                                                 decltype(post_shuffle_thread_desc_m_n),
+                                                 decltype(PostShuffleThreadSliceSize_M_N),
+                                                 Sequence<0, 1>,
+                                                 1,
+                                                 PostShuffleScalarPerVector,
+                                                 1,
+                                                 true>{c_shuffle_block_desc_mperblock_nperblock,
+                                                       post_shuffle_thread_data_idx_begin};
+
+            // D0, D1, ..., Dn
+            constexpr auto post_shuffle_thread_desc_I1_mperblock_I1_nperblock =
+                make_naive_tensor_descriptor_packed(
+                    make_tuple(I1,
+                               Number<PostShuffleThreadSliceSize_M>{},
+                               I1,
+                               Number<PostShuffleThreadSliceSize_N>{}));
+
+            // FIXME: Decrease usage of VGPR
+            // Apply pointwise lambda function from multi-source (Global and LDS) into VGPR
+            auto ds_thread_buf = generate_tuple(
+                [&](auto) {
+                    return make_static_buffer<AddressSpaceEnum::Vgpr, CShuffleDataType>(
+                        post_shuffle_thread_desc_I1_mperblock_I1_nperblock.GetElementSpaceSize());
+                },
+                Number<NumDTensor>{});
+
+            // Copy D0, D1, ..., Dn from global to VGPR
+            auto ds_thread_copy_global_to_vgpr = generate_tuple(
+                [&](auto I) {
+                    using DDataType = remove_cvref_t<tuple_element_t<I.value, DsDataType>>;
+                    return ThreadwiseTensorSliceTransfer_v2<
+                        DDataType,
+                        AccDataType,
+                        decltype(ds_grid_desc_mblock_mperblock_nblock_nperblock[I]),
+                        decltype(post_shuffle_thread_desc_I1_mperblock_I1_nperblock),
+                        Sequence<I1,
+                                 PostShuffleThreadSliceSize_M,
+                                 I1,
+                                 PostShuffleThreadSliceSize_N>,
+                        Sequence<0, 1, 2, 3>,
+                        3,
+                        PostShuffleScalarPerVector,
+                        1,
+                        true>(
+                        ds_grid_desc_mblock_mperblock_nblock_nperblock[I],
+                        make_multi_index(
+                            I0,
+                            m_block_data_idx_on_grid + post_shuffle_thread_data_idx_begin[I0],
+                            I0,
+                            n_block_data_idx_on_grid + post_shuffle_thread_data_idx_begin[I1]));
+                },
+                Number<NumDTensor>{});
+
+            auto e_thread_copy_vgpr_to_global = ThreadwiseTensorSliceTransfer_v1r3<
+                AccDataType,
+                EMeanVarDataType,
+                decltype(post_shuffle_thread_desc_I1_mperblock_I1_nperblock),
+                decltype(e_grid_desc_mblock_mperblock_nblock_nperblock),
+                tensor_operation::element_wise::PassThrough,
+                Sequence<I1,
+                         PostShuffleThreadSliceSize_M,
+                         I1,
+                         PostShuffleThreadSliceSize_N>, // SliceLengths
+                Sequence<0, 1, 2, 3>,                   // DimAccessOrder
+                3,                                      // DstVectorDim
+                PostShuffleScalarPerVector,
+                InMemoryDataOperationEnum::Set,
+                1,
+                true>{
+                e_grid_desc_mblock_mperblock_nblock_nperblock,
+                make_multi_index(I0,
+                                 m_block_data_idx_on_grid + post_shuffle_thread_data_idx_begin[I0],
+                                 I0,
+                                 n_block_data_idx_on_grid + post_shuffle_thread_data_idx_begin[I1]),
+                tensor_operation::element_wise::PassThrough{}};
+
+            // Welford
+            constexpr auto thread_welford_src_desc_m_k = make_naive_tensor_descriptor_packed(
+                make_tuple(Number<PostShuffleThreadSliceSize_M>{},
+                           Number<PostShuffleThreadSliceSize_N>{}));
+
+            constexpr auto thread_welford_dst_desc_m = make_naive_tensor_descriptor_packed(
+                make_tuple(Number<PostShuffleThreadSliceSize_M>{}));
+
+            using ThreadwiseWelford = ThreadwiseWelford<AccDataType,
+                                                        decltype(thread_welford_src_desc_m_k),
+                                                        decltype(thread_welford_dst_desc_m)>;
+
+            using BlockwiseWelford = BlockwiseWelford<AccDataType,
+                                                      BlockSize,
+                                                      PostShuffleThreadClusterSize_M_N,
+                                                      Sequence<0, 1>,
+                                                      false>;
+
+            constexpr int num_shuffleM =
+                MPerBlock / (CShuffleMXdlPerWavePerShuffle * MWave * MPerXdl);
+
+            constexpr int num_shuffleN =
+                NPerBlock / (CShuffleNXdlPerWavePerShuffle * NWave * NPerXdl);
+
+            using mean_var_vgpr_type =
+                decltype(make_static_buffer<AddressSpaceEnum::Vgpr, AccDataType>(
+                    thread_welford_dst_desc_m.GetElementSpaceSize()));
+
+            using welford_count_vgpr_type =
+                decltype(make_static_buffer<AddressSpaceEnum::Vgpr, int32_t>(
+                    thread_welford_dst_desc_m.GetElementSpaceSize()));
+
+            Array<ThreadwiseWelford, num_shuffleM> threadwise_welfords;
+            Array<mean_var_vgpr_type, num_shuffleM> mean_thread_bufs;
+            Array<mean_var_vgpr_type, num_shuffleM> var_thread_bufs;
+            Array<welford_count_vgpr_type, num_shuffleM> welford_count_thread_bufs;
+
+            int max_count     = PostShuffleThreadSliceSize_N * num_shuffleN;
+            const auto nblock = mean_var_grid_desc_mblock_mperblock_nblock.GetLength(I2);
+
+            // tail block
+            if(block_work_idx[I1] % nblock == nblock - 1)
+            {
+                constexpr index_t NPerShuffleBlock =
+                    CShuffleNXdlPerWavePerShuffle * NWave * NPerXdl;
+
+                int NPerBlockTail = NRaw - NPerBlock * (nblock - 1);
+                int thread_max_len =
+                    PostShuffleThreadSliceSize_N * (post_shuffle_thread_cluster_idx[I1] + 1);
+                int shuffle_step = 0;
+                while(thread_max_len <= NPerBlockTail && shuffle_step < num_shuffleN)
+                {
+                    ++shuffle_step;
+                    thread_max_len += NPerShuffleBlock;
+                }
+
+                int delta = 0;
+                if(thread_max_len - NPerBlockTail > PostShuffleThreadSliceSize_N)
+                    delta = 0;
+                else if(NPerBlockTail > thread_max_len)
+                    delta = PostShuffleThreadSliceSize_N;
+                else
+                    delta = PostShuffleThreadSliceSize_N - thread_max_len + NPerBlockTail;
+
+                max_count = shuffle_step * PostShuffleThreadSliceSize_N + delta;
+            }
+
+            static_for<0, num_shuffleM, 1>{}([&](auto i) {
+                threadwise_welfords(i).max_count_ = max_count;
+                mean_thread_bufs(i) = make_static_buffer<AddressSpaceEnum::Vgpr, AccDataType>(
+                    thread_welford_dst_desc_m.GetElementSpaceSize());
+
+                var_thread_bufs(i) = make_static_buffer<AddressSpaceEnum::Vgpr, AccDataType>(
+                    thread_welford_dst_desc_m.GetElementSpaceSize());
+
+                welford_count_thread_bufs(i) = make_static_buffer<AddressSpaceEnum::Vgpr, int32_t>(
+                    thread_welford_dst_desc_m.GetElementSpaceSize());
+
+                static_for<0, PostShuffleThreadSliceSize_M, 1>{}([&](auto j) {
+                    mean_thread_bufs(i)(j)          = type_convert<AccDataType>(0.0f);
+                    var_thread_bufs(i)(j)           = type_convert<AccDataType>(0.0f);
+                    welford_count_thread_bufs(i)(j) = 0;
+                });
+            });
+
+            constexpr index_t num_access = sfc_c_vgpr.GetNumOfAccess();
+
+            static_assert(num_access == sfc_der_global.GetNumOfAccess(), "wrong!");
+
+            int shuffleM_index = __builtin_amdgcn_readfirstlane(0);
+            static_for<0, num_access, 1>{}([&](auto access_id) {
+                // make sure it's safe to read from LDS
+                block_sync_lds();
+
+                // each thread shuffle 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 write to LDS
+                block_sync_lds();
+
+                // Get shuffle data from LDS to VGPR
+                post_shuffle_thread_copy_lds_to_vgpr.Run(c_shuffle_block_desc_mperblock_nperblock,
+                                                         c_shuffle_block_buf,
+                                                         post_shuffle_thread_desc_m_n,
+                                                         make_tuple(I0, I0),
+                                                         e_thread_buf);
+
+                // Global read D0, D1, ...
+                static_for<0, NumDTensor, 1>{}([&](auto Id) {
+                    auto& d_thread_copy_global_to_vgpr = ds_thread_copy_global_to_vgpr(Id);
+                    d_thread_copy_global_to_vgpr.Run(
+                        ds_grid_desc_mblock_mperblock_nblock_nperblock[Id],
+                        ds_grid_buf[Id],
+                        post_shuffle_thread_desc_I1_mperblock_I1_nperblock,
+                        make_tuple(I0, I0, I0, I0),
+                        ds_thread_buf(Id));
+
+                    if constexpr(access_id < num_access - 1)
+                    {
+                        // move on D0, D1, ...
+                        constexpr auto de_global_step = sfc_der_global.GetForwardStep(access_id);
+                        d_thread_copy_global_to_vgpr.MoveSrcSliceWindow(
+                            ds_grid_desc_mblock_mperblock_nblock_nperblock[Id], de_global_step);
+                    }
+                });
+
+                // cde_element_op(e, c, d0, d1, ...);
+                static_for<0, post_shuffle_thread_desc_m_n.GetElementSize(), 1>{}([&](auto i) {
+                    const auto c_ds_src_data_refs = concat_tuple_of_reference(
+                        tie(e_thread_buf[i]),
+                        generate_tie(
+                            [&](auto Id) -> const auto& { return ds_thread_buf[Id][i]; },
+                            Number<NumDTensor>{}));
+                    auto e_dst_data_refs = tie(e_thread_buf(i));
+                    unpack2(cde_element_op, e_dst_data_refs, c_ds_src_data_refs);
+                });
+
+                // Global write E
+                e_thread_copy_vgpr_to_global.Run(post_shuffle_thread_desc_I1_mperblock_I1_nperblock,
+                                                 make_tuple(I0, I0, I0, I0),
+                                                 e_thread_buf,
+                                                 e_grid_desc_mblock_mperblock_nblock_nperblock,
+                                                 e_grid_buf);
+
+                if constexpr(access_id < num_access - 1)
+                {
+                    // move on E
+                    constexpr auto de_global_step = sfc_der_global.GetForwardStep(access_id);
+                    e_thread_copy_vgpr_to_global.MoveDstSliceWindow(
+                        e_grid_desc_mblock_mperblock_nblock_nperblock, de_global_step);
+                }
+
+                // Threadwise welford
+                auto& threadwise_welford = threadwise_welfords(shuffleM_index);
+                auto& mean_thread_buf    = mean_thread_bufs(shuffleM_index);
+                auto& var_thread_buf     = var_thread_bufs(shuffleM_index);
+
+                threadwise_welford.Run(e_thread_buf, mean_thread_buf, var_thread_buf);
+
+                if constexpr(access_id < num_access - 1)
+                {
+                    constexpr auto de_global_step = sfc_der_global.GetForwardStep(access_id);
+                    constexpr int shuffleMInc =
+                        de_global_step[I1] /
+                        c_shuffle_block_desc_mblock_mperblock_nblock_nperblock.GetLength(I1);
+                    shuffleM_index = __builtin_amdgcn_readfirstlane(shuffleM_index + shuffleMInc);
+                }
+            }); // copy c, d, e + welford
+
+            // Blockwise welford and write out
+            static_for<0, num_shuffleM, 1>{}([&](auto i) {
+                auto& mean_thread_buf  = mean_thread_bufs(i);
+                auto& var_thread_buf   = var_thread_bufs(i);
+                auto& count_thread_buf = welford_count_thread_bufs(i);
+
+                static_for<0, PostShuffleThreadSliceSize_M, 1>{}([&](auto j) {
+                    block_sync_lds();
+                    count_thread_buf(j) = threadwise_welfords(i).cur_count_;
+                    BlockwiseWelford::Run(
+                        mean_thread_buf(j), var_thread_buf(j), count_thread_buf(j));
+                });
+
+                if(post_shuffle_thread_cluster_idx[I1] == 0)
+                {
+                    constexpr auto thread_welford_desc_I_m_I = make_naive_tensor_descriptor_packed(
+                        make_tuple(I1, Number<PostShuffleThreadSliceSize_M>{}, I1));
+
+                    constexpr int shuffleMPerBlock =
+                        c_shuffle_block_desc_mblock_mperblock_nblock_nperblock.GetLength(I1);
+
+                    auto mean_var_count_thread_copy_index = make_multi_index(
+                        block_work_idx[I0],                                            // mblock
+                        shuffleMPerBlock * i + post_shuffle_thread_data_idx_begin[I0], // mperblock
+                        block_work_idx[I1]);                                           // nblock
+
+                    auto mean_var_thread_copy_vgpr_to_global = ThreadwiseTensorSliceTransfer_v1r3<
+                        AccDataType,
+                        EMeanVarDataType,
+                        decltype(thread_welford_desc_I_m_I),
+                        decltype(mean_var_grid_desc_mblock_mperblock_nblock),
+                        tensor_operation::element_wise::PassThrough,
+                        Sequence<1, PostShuffleThreadSliceSize_M, 1>,
+                        Sequence<0, 1, 2>,
+                        1,
+                        1,
+                        InMemoryDataOperationEnum::Set,
+                        1,
+                        true>{mean_var_grid_desc_mblock_mperblock_nblock,
+                              mean_var_count_thread_copy_index,
+                              tensor_operation::element_wise::PassThrough{}};
+
+                    mean_var_thread_copy_vgpr_to_global.Run(
+                        thread_welford_desc_I_m_I,
+                        make_tuple(I0, I0, I0),
+                        mean_thread_buf,
+                        mean_var_grid_desc_mblock_mperblock_nblock,
+                        mean_grid_buf); // write mean
+
+                    mean_var_thread_copy_vgpr_to_global.Run(
+                        thread_welford_desc_I_m_I,
+                        make_tuple(I0, I0, I0),
+                        var_thread_buf,
+                        mean_var_grid_desc_mblock_mperblock_nblock,
+                        var_grid_buf); // write variance
+
+                    // Stride of count is [0, 1]. Only the first row in count[0, 0:nblock] need
+                    // to be written.
+                    if(i == 0 && block_work_idx[I0] == 0 &&
+                       post_shuffle_thread_cluster_idx[I0] == 0)
+                    {
+                        auto count_thread_copy_vgpr_to_global = ThreadwiseTensorSliceTransfer_v1r3<
+                            int32_t,
+                            int32_t,
+                            decltype(thread_welford_desc_I_m_I),
+                            decltype(count_grid_desc_mblock_mperblock_nblock),
+                            tensor_operation::element_wise::PassThrough,
+                            Sequence<1, PostShuffleThreadSliceSize_M, 1>,
+                            Sequence<0, 1, 2>,
+                            1,
+                            1,
+                            InMemoryDataOperationEnum::Set,
+                            1,
+                            false>{count_grid_desc_mblock_mperblock_nblock,
+                                   mean_var_count_thread_copy_index,
+                                   tensor_operation::element_wise::PassThrough{}};
+
+                        count_thread_copy_vgpr_to_global.Run(
+                            thread_welford_desc_I_m_I,
+                            make_tuple(I0, I0, I0),
+                            count_thread_buf,
+                            count_grid_desc_mblock_mperblock_nblock,
+                            welford_count_grid_buf); // write count
+                    }
+                }
+            });
+
+        } // shuffle C + Ds + welford + write out
+    }     // run
+};
+
+} // namespace ck

include/ck/tensor_operation/gpu/grid/gemm_layernorm/gridwise_welford_second_half_layernorm2d.hpp

+// SPDX-License-Identifier: MIT
+// Copyright (c) 2018-2022, 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_v7.hpp"
+#include "ck/tensor_operation/gpu/thread/threadwise_tensor_slice_transfer.hpp"
+#include "ck/tensor_operation/gpu/element/element_wise_operation.hpp"
+#include "ck/tensor_operation/gpu/block/blockwise_welford.hpp"
+#include "ck/tensor_operation/gpu/thread/threadwise_welford.hpp"
+
+namespace ck {
+
+template <typename EMeanVarDataType,
+          typename HDataType,
+          typename GammaDataType,
+          typename BetaDataType,
+          typename ComputeDataType,
+          typename EHGridDesc_M_N,
+          typename MeanVarGridDesc_M_NBlock,
+          typename CountGridDesc_M_NBlock,
+          typename GammaBetaGridDesc_N,
+          typename HElementwiseOperation,
+          index_t BlockSize,
+          index_t MThreadClusterSize,
+          index_t NThreadClusterSize,
+          index_t MThreadSliceSize,
+          index_t NThreadSliceSize,
+          index_t ESrcVectorSize,
+          index_t HDstVectorSize,
+          index_t GammaSrcVectorSize,
+          index_t BetaSrcVectorSize>
+struct GridwiseWelfordSecondHalfLayernorm2d
+{
+    static_assert(NThreadSliceSize % ESrcVectorSize == 0 &&
+                      NThreadSliceSize % GammaSrcVectorSize == 0 &&
+                      NThreadSliceSize % BetaSrcVectorSize == 0,
+                  "Invalid thread slice sizes and/or vector sizes configuration, please check!");
+
+    static_assert(NThreadSliceSize % HDstVectorSize == 0,
+                  "Invalid thread slice sizes and/or vector sizes configuration, please check!");
+
+    using ThreadClusterLengths_M_N   = Sequence<MThreadClusterSize, NThreadClusterSize>;
+    using ThreadBufferDimAccessOrder = Sequence<0, 1>;
+    using ThreadClusterArrangeOrder  = Sequence<0, 1>;
+
+    static constexpr auto thread_cluster_desc_m_n =
+        make_cluster_descriptor(ThreadClusterLengths_M_N{}, ThreadClusterArrangeOrder{});
+
+    using ThreadBufferLengths_M_N                = Sequence<MThreadSliceSize, NThreadSliceSize>;
+    static constexpr auto thread_buffer_desc_m_n = make_naive_tensor_descriptor_packed(
+        make_tuple(Number<MThreadSliceSize>{}, Number<NThreadSliceSize>{}));
+
+    using ThreadBufferLengths_M_1 = Sequence<MThreadSliceSize, 1>;
+    static constexpr auto thread_buffer_desc_m_1 =
+        make_naive_tensor_descriptor_packed(make_tuple(Number<MThreadSliceSize>{}, Number<1>{}));
+
+    using ThreadBufferLengths_N = Sequence<NThreadSliceSize>;
+    static constexpr auto thread_buffer_desc_n =
+        make_naive_tensor_descriptor_packed(make_tuple(Number<NThreadSliceSize>{}));
+
+    using ThreadWelfordSrcDesc_M_1 = decltype(thread_buffer_desc_m_1);
+    using ThreadWelfordDstDesc_M =
+        decltype(make_naive_tensor_descriptor_packed(make_tuple(Number<MThreadSliceSize>{})));
+
+    using ThreadwiseWelford =
+        ThreadwiseWelfordMerge<ComputeDataType, ThreadWelfordSrcDesc_M_1, ThreadWelfordDstDesc_M>;
+
+    using BlockwiseWelford = BlockwiseWelford<ComputeDataType,
+                                              BlockSize,
+                                              ThreadClusterLengths_M_N,
+                                              ThreadClusterArrangeOrder>;
+
+    static constexpr auto I0 = Number<0>{};
+    static constexpr auto I1 = Number<1>{};
+
+    static constexpr index_t M_BlockTileSize = MThreadClusterSize * MThreadSliceSize;
+    static constexpr index_t N_BlockTileSize = NThreadClusterSize * NThreadSliceSize;
+
+    __device__ static void Run(const EMeanVarDataType* __restrict__ p_e_grid,
+                               const EMeanVarDataType* __restrict__ p_in_welford_mean_grid,
+                               const EMeanVarDataType* __restrict__ p_in_welford_var_grid,
+                               const int32_t* __restrict__ p_in_welford_count_grid,
+                               const GammaDataType* __restrict__ p_gamma_grid,
+                               const BetaDataType* __restrict__ p_beta_grid,
+                               HDataType* __restrict__ p_h_grid,
+                               const EHGridDesc_M_N& e_grid_desc_m_n,
+                               const EHGridDesc_M_N& h_grid_desc_m_n,
+                               const MeanVarGridDesc_M_NBlock& mean_var_grid_desc_m_nblock,
+                               const CountGridDesc_M_NBlock& count_grid_desc_m_nblock,
+                               const GammaBetaGridDesc_N& gamma_grid_desc_n,
+                               const GammaBetaGridDesc_N& beta_grid_desc_n,
+                               index_t numMeanVarCountBlockTileIteration_N,
+                               index_t NBlockClusterLength,
+                               ComputeDataType epsilon,
+                               HElementwiseOperation h_element_op)
+    {
+        // Thread/Block id
+        const index_t thread_local_id = get_thread_local_1d_id();
+        const index_t block_global_id = get_block_1d_id();
+        const auto block_work_idx     = make_tuple(block_global_id / NBlockClusterLength,
+                                               block_global_id % NBlockClusterLength);
+
+        const auto thread_cluster_idx =
+            thread_cluster_desc_m_n.CalculateBottomIndex(make_multi_index(thread_local_id));
+        const auto thread_m_cluster_id = thread_cluster_idx[I0];
+        const auto thread_n_cluster_id = thread_cluster_idx[I1];
+
+        // Global Memory
+        const auto e_global_val_buf = make_dynamic_buffer<AddressSpaceEnum::Global>(
+            p_e_grid, e_grid_desc_m_n.GetElementSpaceSize());
+
+        const auto welford_mean_global_val_buf = make_dynamic_buffer<AddressSpaceEnum::Global>(
+            p_in_welford_mean_grid, mean_var_grid_desc_m_nblock.GetElementSpaceSize());
+
+        const auto welford_var_global_val_buf = make_dynamic_buffer<AddressSpaceEnum::Global>(
+            p_in_welford_var_grid, mean_var_grid_desc_m_nblock.GetElementSpaceSize());
+
+        const auto welford_count_global_val_buf = make_dynamic_buffer<AddressSpaceEnum::Global>(
+            p_in_welford_count_grid, count_grid_desc_m_nblock.GetElementSpaceSize());
+
+        const auto gamma_global_val_buf = make_dynamic_buffer<AddressSpaceEnum::Global>(
+            p_gamma_grid, gamma_grid_desc_n.GetElementSpaceSize());
+
+        const auto beta_global_val_buf = make_dynamic_buffer<AddressSpaceEnum::Global>(
+            p_beta_grid, beta_grid_desc_n.GetElementSpaceSize());
+
+        auto h_global_val_buf = make_dynamic_buffer<AddressSpaceEnum::Global>(
+            p_h_grid, h_grid_desc_m_n.GetElementSpaceSize());
+
+        // VGPR
+        StaticBuffer<AddressSpaceEnum::Vgpr, ComputeDataType, MThreadSliceSize, true>
+            in_welford_mean_thread_buf;
+        StaticBuffer<AddressSpaceEnum::Vgpr, ComputeDataType, MThreadSliceSize, true>
+            in_welford_var_thread_buf;
+        StaticBuffer<AddressSpaceEnum::Vgpr, int32_t, MThreadSliceSize, true>
+            in_welford_count_thread_buf;
+
+        StaticBuffer<AddressSpaceEnum::Vgpr, ComputeDataType, MThreadSliceSize, true>
+            welford_mean_thread_buf;
+        StaticBuffer<AddressSpaceEnum::Vgpr, ComputeDataType, MThreadSliceSize, true>
+            welford_var_thread_buf;
+        StaticBuffer<AddressSpaceEnum::Vgpr, int32_t, MThreadSliceSize, true>
+            welford_count_thread_buf;
+
+        StaticBuffer<AddressSpaceEnum::Vgpr,
+                     ComputeDataType,
+                     MThreadSliceSize * NThreadSliceSize,
+                     true>
+            e_thread_buf;
+        StaticBuffer<AddressSpaceEnum::Vgpr,
+                     ComputeDataType,
+                     MThreadSliceSize * NThreadSliceSize,
+                     true>
+            gamma_thread_buf;
+        StaticBuffer<AddressSpaceEnum::Vgpr,
+                     ComputeDataType,
+                     MThreadSliceSize * NThreadSliceSize,
+                     true>
+            beta_thread_buf;
+        StaticBuffer<AddressSpaceEnum::Vgpr,
+                     ComputeDataType,
+                     MThreadSliceSize * NThreadSliceSize,
+                     true>
+            h_thread_buf;
+
+        // IO
+        auto threadwise_mean_load_m_nblock =
+            ThreadwiseTensorSliceTransfer_v2<EMeanVarDataType,
+                                             ComputeDataType,
+                                             MeanVarGridDesc_M_NBlock,
+                                             decltype(thread_buffer_desc_m_1),
+                                             ThreadBufferLengths_M_1,
+                                             ThreadBufferDimAccessOrder,
+                                             1,
+                                             1,
+                                             1,
+                                             true>(
+                mean_var_grid_desc_m_nblock,
+                make_multi_index(block_work_idx[I0] * M_BlockTileSize +
+                                     thread_m_cluster_id * MThreadSliceSize,
+                                 thread_n_cluster_id));
+
+        auto threadwise_var_load_m_nblock =
+            ThreadwiseTensorSliceTransfer_v2<EMeanVarDataType,
+                                             ComputeDataType,
+                                             MeanVarGridDesc_M_NBlock,
+                                             decltype(thread_buffer_desc_m_1),
+                                             ThreadBufferLengths_M_1,
+                                             ThreadBufferDimAccessOrder,
+                                             1,
+                                             1,
+                                             1,
+                                             true>(
+                mean_var_grid_desc_m_nblock,
+                make_multi_index(block_work_idx[I0] * M_BlockTileSize +
+                                     thread_m_cluster_id * MThreadSliceSize,
+                                 thread_n_cluster_id));
+
+        auto threadwise_count_load_m_nblock =
+            ThreadwiseTensorSliceTransfer_v2<int32_t,
+                                             int32_t,
+                                             CountGridDesc_M_NBlock,
+                                             decltype(thread_buffer_desc_m_1),
+                                             ThreadBufferLengths_M_1,
+                                             ThreadBufferDimAccessOrder,
+                                             1,
+                                             1,
+                                             1,
+                                             true>(
+                count_grid_desc_m_nblock,
+                make_multi_index(block_work_idx[I0] * M_BlockTileSize +
+                                     thread_m_cluster_id * MThreadSliceSize,
+                                 thread_n_cluster_id));
+
+        auto threadwise_e_load_m_n =
+            ThreadwiseTensorSliceTransfer_v2<EMeanVarDataType,
+                                             ComputeDataType,
+                                             decltype(e_grid_desc_m_n),
+                                             decltype(thread_buffer_desc_m_n),
+                                             ThreadBufferLengths_M_N,
+                                             ThreadBufferDimAccessOrder,
+                                             1, // SrcVectorDim
+                                             ESrcVectorSize,
+                                             1,
+                                             true>(
+                e_grid_desc_m_n,
+                make_multi_index(
+                    block_work_idx[I0] * M_BlockTileSize + thread_m_cluster_id * MThreadSliceSize,
+                    block_work_idx[I1] * N_BlockTileSize + thread_n_cluster_id * NThreadSliceSize));
+
+        auto threadwise_gamma_load_n =
+            ThreadwiseTensorSliceTransfer_v2<GammaDataType,
+                                             ComputeDataType,
+                                             decltype(gamma_grid_desc_n),
+                                             decltype(thread_buffer_desc_n),
+                                             ThreadBufferLengths_N,
+                                             Sequence<0>, // DimAccessOrder,
+                                             0,           // SrcVectorDim,
+                                             GammaSrcVectorSize,
+                                             1,
+                                             true>(
+                gamma_grid_desc_n,
+                make_multi_index(block_work_idx[I1] * N_BlockTileSize +
+                                 thread_n_cluster_id * NThreadSliceSize));
+
+        auto threadwise_beta_load_n =
+            ThreadwiseTensorSliceTransfer_v2<BetaDataType,
+                                             ComputeDataType,
+                                             decltype(beta_grid_desc_n),
+                                             decltype(thread_buffer_desc_n),
+                                             ThreadBufferLengths_N,
+                                             Sequence<0>, // DimAccessOrder,
+                                             0,           // SrcVectorDim,
+                                             BetaSrcVectorSize,
+                                             1,
+                                             true>(
+                beta_grid_desc_n,
+                make_multi_index(block_work_idx[I1] * N_BlockTileSize +
+                                 thread_n_cluster_id * NThreadSliceSize));
+
+        auto threadwise_h_store_m_n =
+            ThreadwiseTensorSliceTransfer_v1r3<ComputeDataType,
+                                               HDataType,
+                                               decltype(thread_buffer_desc_m_n),
+                                               decltype(h_grid_desc_m_n),
+                                               HElementwiseOperation,
+                                               ThreadBufferLengths_M_N,
+                                               ThreadBufferDimAccessOrder,
+                                               1, // DstVectorDim
+                                               HDstVectorSize,
+                                               InMemoryDataOperationEnum::Set,
+                                               1,
+                                               true>(
+                h_grid_desc_m_n,
+                make_multi_index(
+                    block_work_idx[I0] * M_BlockTileSize + thread_m_cluster_id * MThreadSliceSize,
+                    block_work_idx[I1] * N_BlockTileSize + thread_n_cluster_id * NThreadSliceSize),
+                h_element_op);
+
+        // step1: Merge mean and variance
+        constexpr auto mean_var_count_thread_copy_step_I0_n =
+            make_multi_index(I0, NThreadClusterSize);
+
+        static_for<0, MThreadSliceSize, 1>{}([&](auto I) {
+            welford_mean_thread_buf(I)  = type_convert<ComputeDataType>(0.0f);
+            welford_var_thread_buf(I)   = type_convert<ComputeDataType>(0.0f);
+            welford_count_thread_buf(I) = 0;
+        });
+
+        for(index_t n = 0; n < numMeanVarCountBlockTileIteration_N; ++n)
+        {
+            threadwise_mean_load_m_nblock.Run(mean_var_grid_desc_m_nblock,
+                                              welford_mean_global_val_buf,
+                                              thread_buffer_desc_m_1,
+                                              make_tuple(I0, I0),
+                                              in_welford_mean_thread_buf);
+
+            threadwise_var_load_m_nblock.Run(mean_var_grid_desc_m_nblock,
+                                             welford_var_global_val_buf,
+                                             thread_buffer_desc_m_1,
+                                             make_tuple(I0, I0),
+                                             in_welford_var_thread_buf);
+
+            threadwise_count_load_m_nblock.Run(count_grid_desc_m_nblock,
+                                               welford_count_global_val_buf,
+                                               thread_buffer_desc_m_1,
+                                               make_tuple(I0, I0),
+                                               in_welford_count_thread_buf);
+
+            ThreadwiseWelford::Run(in_welford_mean_thread_buf,
+                                   in_welford_var_thread_buf,
+                                   in_welford_count_thread_buf,
+                                   welford_mean_thread_buf,
+                                   welford_var_thread_buf,
+                                   welford_count_thread_buf);
+
+            threadwise_mean_load_m_nblock.MoveSrcSliceWindow(mean_var_grid_desc_m_nblock,
+                                                             mean_var_count_thread_copy_step_I0_n);
+            threadwise_var_load_m_nblock.MoveSrcSliceWindow(mean_var_grid_desc_m_nblock,
+                                                            mean_var_count_thread_copy_step_I0_n);
+            threadwise_count_load_m_nblock.MoveSrcSliceWindow(count_grid_desc_m_nblock,
+                                                              mean_var_count_thread_copy_step_I0_n);
+        }
+
+        static_for<0, MThreadSliceSize, 1>{}([&](auto I) {
+            if constexpr(I > 0)
+                block_sync_lds();
+
+            BlockwiseWelford::Run(
+                welford_mean_thread_buf(I), welford_var_thread_buf(I), welford_count_thread_buf(I));
+        });
+
+        // step2: normalization
+        // h[m, n] = [(e[m, n] - mean[m]) / sqrt(var[m] + eps)] * gamma[n] + beta[n]
+        threadwise_e_load_m_n.Run(e_grid_desc_m_n,
+                                  e_global_val_buf,
+                                  thread_buffer_desc_m_n,
+                                  make_tuple(I0, I0),
+                                  e_thread_buf);
+
+        static_for<0, MThreadSliceSize, 1>{}([&](auto m) {
+            auto divisor = 1 / ck::math::sqrt(welford_var_thread_buf(m) + epsilon);
+            static_for<0, NThreadSliceSize, 1>{}([&](auto n) {
+                constexpr auto m_n = thread_buffer_desc_m_n.CalculateOffset(make_tuple(m, n));
+                h_thread_buf(Number<m_n>{}) =
+                    (e_thread_buf(Number<m_n>{}) - welford_mean_thread_buf(m)) * divisor;
+            });
+        });
+
+        threadwise_gamma_load_n.Run(gamma_grid_desc_n,
+                                    gamma_global_val_buf,
+                                    thread_buffer_desc_n,
+                                    make_tuple(I0),
+                                    gamma_thread_buf);
+
+        static_for<0, MThreadSliceSize, 1>{}([&](auto m) {
+            static_for<0, NThreadSliceSize, 1>{}([&](auto n) {
+                constexpr auto m_n = thread_buffer_desc_m_n.CalculateOffset(make_tuple(m, n));
+                h_thread_buf(Number<m_n>{}) = h_thread_buf(Number<m_n>{}) * gamma_thread_buf(n);
+            });
+        });
+
+        threadwise_beta_load_n.Run(beta_grid_desc_n,
+                                   beta_global_val_buf,
+                                   thread_buffer_desc_n,
+                                   make_tuple(I0),
+                                   beta_thread_buf);
+
+        static_for<0, MThreadSliceSize, 1>{}([&](auto m) {
+            static_for<0, NThreadSliceSize, 1>{}([&](auto n) {
+                constexpr auto m_n = thread_buffer_desc_m_n.CalculateOffset(make_tuple(m, n));
+                h_thread_buf(Number<m_n>{}) = h_thread_buf(Number<m_n>{}) + beta_thread_buf(n);
+            });
+        });
+
+        threadwise_h_store_m_n.Run(thread_buffer_desc_m_n,
+                                   make_tuple(I0, I0),
+                                   h_thread_buf,
+                                   h_grid_desc_m_n,
+                                   h_global_val_buf);
+
+    } // run
+};
+
+} // namespace ck

include/ck/tensor_operation/gpu/grid/gridwise_batched_gemm_gemm_xdl_cshuffle_v1.hpp

@@ -8,7 +8,7 @@
 #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/grid/gridwise_gemm_pipeline_selector.hpp"
 #include "ck/tensor_operation/gpu/block/blockwise_gemm_xdlops.hpp"
 #include "ck/tensor_operation/gpu/block/thread_group_tensor_slice_transfer_v4r1.hpp"
 #include "ck/tensor_operation/gpu/block/thread_group_tensor_slice_transfer_v6r1.hpp"
@@ -74,7 +74,8 @@ template <typename FloatAB,
           index_t CShuffleNXdlPerWavePerShuffle,
           typename CShuffleBlockTransferClusterLengths_MBlock_MPerBlock_NBlock_NPerBlock,
           index_t CShuffleBlockTransferScalarPerVector_NPerBlock,
-          LoopScheduler LoopSched>
+          LoopScheduler LoopSched,
+          PipelineVersion PipelineVer = PipelineVersion::v1>
 struct GridwiseBatchedGemmGemm_Xdl_CShuffle
 {
     static_assert(LoopSched == LoopScheduler::Default,
@@ -101,7 +102,8 @@ struct GridwiseBatchedGemmGemm_Xdl_CShuffle
 
     using ThisThreadBlock = ThisThreadBlock<BlockSize>;
 
-    using GridwiseGemmPipe = GridwiseGemmPipeline_v1<NumGemmKPrefetchStage>;
+    using GridwiseGemmPipe = remove_cvref_t<decltype(
+        GridwiseGemmPipeline_Selector<PipelineVer, NumGemmKPrefetchStage>())>;
 
     template <typename ABlockDesc_AK0_M_AK1>
     __host__ __device__ static constexpr auto
@@ -486,8 +488,9 @@ struct GridwiseBatchedGemmGemm_Xdl_CShuffle
 
         // gridwise GEMM pipeline
         // Only supports LoopScheduler::Default
-        const auto gridwise_gemm_pipeline =
-            GridwiseGemmPipeline_v1_Selector<NumGemmKPrefetchStage, LoopScheduler::Default>();
+        const auto gridwise_gemm_pipeline = GridwiseGemmPipeline_Selector<PipelineVer,
+                                                                          NumGemmKPrefetchStage,
+                                                                          LoopScheduler::Default>();
 
         const index_t num_k_block_main_loop = __builtin_amdgcn_readfirstlane(
             (a_grid_desc_ak0_m_ak1.GetLength(I0) * a_grid_desc_ak0_m_ak1.GetLength(I2)) /