block_fmha_pipeline_qs_ks_vs.hpp Source File

block_fmha_pipeline_qs_ks_vs.hpp Source File#

Composable Kernel: block_fmha_pipeline_qs_ks_vs.hpp Source File
// SPDX-License-Identifier: MIT
// Copyright (c) 2018-2024, Advanced Micro Devices, Inc. All rights reserved.
 
#pragma once
 
#include "ck_tile/core.hpp"
#include "ck_tile/ops/fmha/block/block_attention_bias_enum.hpp"
#include "ck_tile/ops/fmha/block/block_dropout.hpp"
#include "ck_tile/ops/fmha/pipeline/block_fmha_pipeline_qs_ks_vs_default_policy.hpp"
#include "ck_tile/ops/reduce/block/block_reduce.hpp"
 
namespace ck_tile {
 
// This pipeline is qkv all located in LDS
template <typename Problem_, typename Policy_ = BlockFmhaPipelineQSKSVSDefaultPolicy>
struct BlockFmhaPipelineQSKSVS
{
    using Problem               = remove_cvref_t<Problem_>;
    using Policy                = remove_cvref_t<Policy_>;
    using QDataType             = remove_cvref_t<typename Problem::QDataType>;
    using KDataType             = remove_cvref_t<typename Problem::KDataType>;
    using VDataType             = remove_cvref_t<typename Problem::VDataType>;
    using SaccDataType          = remove_cvref_t<typename Problem::SaccDataType>;
    using SMPLComputeDataType   = remove_cvref_t<typename Problem::SMPLComputeDataType>;
    using BiasDataType          = remove_cvref_t<typename Problem::BiasDataType>;
    using RandValOutputDataType = remove_cvref_t<typename Problem::RandValOutputDataType>;
    using LSEDataType           = remove_cvref_t<typename Problem::LSEDataType>;
    using PDataType             = remove_cvref_t<typename Problem::PDataType>;
    using OaccDataType          = remove_cvref_t<typename Problem::OaccDataType>;
    using ODataType             = remove_cvref_t<typename Problem::ODataType>;
    using AttentionVariant      = remove_cvref_t<typename Problem::AttentionVariant>;
    using FmhaMask              = remove_cvref_t<typename Problem::FmhaMask>;
 
    using BlockFmhaShape             = remove_cvref_t<typename Problem::BlockFmhaShape>;
    using VLayout                    = remove_cvref_t<typename BlockFmhaShape::VLayout>;
    static constexpr bool kQLoadOnce = false;
    static_assert(kQLoadOnce == Policy::QLoadOnce);
 
    static constexpr index_t kBlockSize = Problem::kBlockSize;
 
    static constexpr index_t kM0           = BlockFmhaShape::kM0;
    static constexpr index_t kN0           = BlockFmhaShape::kN0;
    static constexpr index_t kK0           = BlockFmhaShape::kK0;
    static constexpr index_t kN1           = BlockFmhaShape::kN1;
    static constexpr index_t kK1           = BlockFmhaShape::kK1;
    static constexpr index_t kQKHeaddim    = BlockFmhaShape::kQKHeaddim;
    static constexpr index_t kSubQKHeaddim = BlockFmhaShape::kSubQKHeaddim;
 
    static constexpr bool kIsGroupMode      = Problem::kIsGroupMode;
    static constexpr bool kPadSeqLenQ       = Problem::kPadSeqLenQ;
    static constexpr bool kPadSeqLenK       = Problem::kPadSeqLenK;
    static constexpr bool kPadHeadDimQ      = Problem::kPadHeadDimQ;
    static constexpr bool kPadHeadDimV      = Problem::kPadHeadDimV;
    static constexpr bool kHasLogitsSoftCap = Problem::kHasLogitsSoftCap;
    static constexpr auto BiasEnum          = Problem::BiasEnum;
    static constexpr bool kStoreLSE         = Problem::kStoreLSE;
    static constexpr bool kHasDropout       = Problem::kHasDropout;
 
    static_assert((CK_TILE_FMHA_FWD_FAST_EXP2 &&
                   (kHasLogitsSoftCap && Problem::BiasEnum == BlockAttentionBiasEnum::NO_BIAS ||
                    !kHasLogitsSoftCap)) ||
                  (!CK_TILE_FMHA_FWD_FAST_EXP2 && !kHasLogitsSoftCap));
 
    // last dimension vector length used to create tensor view(and decide buffer_load vector length)
    // ... together with tensor distribution. tensor dist should able to overwrite this
    static constexpr index_t kAlignmentQ =
        kPadHeadDimQ ? 1 : Policy::template GetAlignmentQ<Problem>();
    static constexpr index_t kAlignmentK =
        kPadHeadDimQ ? 1 : Policy::template GetAlignmentK<Problem>();
    static constexpr index_t kAlignmentV = []() {
        if constexpr(std::is_same_v<VLayout, ck_tile::tensor_layout::gemm::RowMajor>)
            return kPadHeadDimV ? 1 : Policy::template GetAlignmentV<Problem>();
        else
            return kPadSeqLenK ? 1 : Policy::template GetAlignmentV<Problem>();
    }();
 
    static constexpr index_t kAlignmentO =
        kPadHeadDimV ? 1 : Policy::template GetAlignmentO<Problem>();
    static constexpr index_t kAlignmentBias =
        kPadSeqLenK ? 1 : Policy::template GetAlignmentBias<Problem>();
 
    static constexpr index_t kBlockPerCu = []() {
        if constexpr(Problem::kBlockPerCu != -1)
            return Problem::kBlockPerCu;
        else
        {
            if constexpr(kQKHeaddim <= 32)
            {
                return 2;
            }
            else if constexpr(kQKHeaddim <= 64)
            {
                return 3;
            }
            else if constexpr(kQKHeaddim <= 128)
            {
                if constexpr(BiasEnum == BlockAttentionBiasEnum::ELEMENTWISE_BIAS)
                    return 1;
                else
                    return 2;
            }
            else if constexpr(kQKHeaddim <= 256)
            {
                return 1;
            }
            else
            {
                return 1;
            }
        }
    }();
 
    static constexpr const char* name = "qs";
 
    using DropoutType = std::conditional_t<kHasDropout, BlockDropout, NullBlockDropout>;
 
    CK_TILE_HOST_DEVICE static constexpr ck_tile::index_t GetSmemSize()
    {
        return Policy::template GetSmemSize<Problem>();
    }
 
    template <typename QDramBlockWindowTmp,
              typename KDramBlockWindowTmp,
              typename VDramBlockWindowTmp,
              typename BiasDramBlockWindowTmp,
              typename RandValDramBlockWindowTmp,
              typename LSEDramBlockWindowTmp,
              typename QElementFunction,
              typename KElementFunction,
              typename VElementFunction,
              typename BiasElementFunction,
              typename LSEElementFunction,
              typename SAccElementFunction,
              typename PComputeElementFunction,
              typename OAccElementFunction,
              typename PositionEncoding,
              typename AttentionVariantParams,
              typename BlockIndices>
    CK_TILE_HOST_DEVICE auto
    operator()(const QDramBlockWindowTmp& q_dram_block_window_tmp, // M0*K0 tile
               const QElementFunction& q_element_func,
               const KDramBlockWindowTmp& k_dram_block_window_tmp, // N0*K0 tile
               const KElementFunction& k_element_func,
               const VDramBlockWindowTmp& v_dram_block_window_tmp, // N1*K1 tile
               const VElementFunction& v_element_func,
               const BiasDramBlockWindowTmp& bias_dram_block_window_tmp, // M0*N0 tile
               const BiasElementFunction& bias_element_func,
               RandValDramBlockWindowTmp& /* unused_randval_dram_block_window_tmp */,
               LSEDramBlockWindowTmp& lse_dram_window_tmp, // M0*1 tile
               const LSEElementFunction& lse_element_func,
               const SAccElementFunction& s_acc_element_func,
               const PComputeElementFunction& p_compute_element_func,
               const OAccElementFunction& o_acc_element_func,
               FmhaMask mask,
               PositionEncoding position_encoding,
               float scale_s,
               const AttentionVariant& variant,
               const AttentionVariantParams& variant_params,
               const BlockIndices& block_indices,
               void* smem_ptr,
               DropoutType& /* unused_dropout */) const
    {
        static_assert(
            std::is_same_v<QDataType, remove_cvref_t<typename QDramBlockWindowTmp::DataType>> &&
                std::is_same_v<KDataType, remove_cvref_t<typename KDramBlockWindowTmp::DataType>> &&
                std::is_same_v<VDataType, remove_cvref_t<typename VDramBlockWindowTmp::DataType>>,
            "wrong!");
 
        static_assert(kM0 == QDramBlockWindowTmp{}.get_window_lengths()[number<0>{}] &&
                          kN0 == KDramBlockWindowTmp{}.get_window_lengths()[number<0>{}] &&
                          kK0 == KDramBlockWindowTmp{}.get_window_lengths()[number<1>{}] &&
                          kN1 == VDramBlockWindowTmp{}.get_window_lengths()[number<0>{}] &&
                          kK1 == VDramBlockWindowTmp{}.get_window_lengths()[number<1>{}] &&
                          kM0 == BiasDramBlockWindowTmp{}.get_window_lengths()[number<0>{}] &&
                          kN0 == BiasDramBlockWindowTmp{}.get_window_lengths()[number<1>{}],
                      "wrong!");
 
        // Q tile in LDS
        auto q_lds = make_tensor_view<address_space_enum::lds>(
            reinterpret_cast<QDataType*>(smem_ptr),
            Policy::template MakeQLdsBlockDescriptor<Problem>());
        auto q_lds_window =
            make_tile_window(q_lds, make_tuple(number<kM0>{}, number<kK0>{}), {0, 0});
 
        // K tile in LDS
        KDataType* k_lds_ptr = static_cast<KDataType*>(static_cast<void*>(
            static_cast<char*>(smem_ptr) + Policy::template GetSmemSizeQ<Problem>()));
        auto k_lds           = make_tensor_view<address_space_enum::lds>(
            k_lds_ptr, Policy::template MakeKLdsBlockDescriptor<Problem>());
        auto k_lds_window =
            make_tile_window(k_lds, make_tuple(number<kN0>{}, number<kK0>{}), {0, 0});
 
        // V tile in LDS
        auto v_lds = make_tensor_view<address_space_enum::lds>(
            reinterpret_cast<VDataType*>(smem_ptr),
            Policy::template MakeVLdsBlockDescriptor<Problem>());
        auto v_lds_window = make_tile_window(
            v_lds, Policy::template MakeVLdsBlockDescriptor<Problem>().get_lengths(), {0, 0});
 
        // Block GEMM
        constexpr auto gemm_0 = Policy::template GetQKBlockGemm<Problem>();
        constexpr auto gemm_1 = Policy::template GetKVBlockGemm<Problem>();
 
        using SaccBlockTileType = decltype(gemm_0.MakeCBlockTile());
        auto s_acc              = SaccBlockTileType{};
 
        // reduction function for softmax
        const auto f_max = [](auto e0, auto e1) { return max(e0, e1); };
        const auto f_sum = [](auto e0, auto e1) { return e0 + e1; };
 
        // infer Sacc, S, P, M, L, Oacc type
        using SBlockTileType = decltype(cast_tile<SMPLComputeDataType>(s_acc));
 
        using MLBlockTileType = decltype(block_tile_reduce<SMPLComputeDataType>(
            SBlockTileType{}, sequence<1>{}, f_max, SMPLComputeDataType{0}));
 
        using OaccBlockTileType = decltype(gemm_1.MakeCBlockTile());
 
        // init Oacc, M, L
        auto o_acc = OaccBlockTileType{};
        auto m     = MLBlockTileType{};
        auto l     = MLBlockTileType{};
 
        clear_tile(o_acc);
        set_tile(m, -numeric<SMPLComputeDataType>::infinity());
        clear_tile(l);
 
        const auto q_origin = q_dram_block_window_tmp.get_window_origin();
        const auto [seqlen_k_start, seqlen_k_end] =
            mask.GetTileRangeAlongX(q_origin.at(number<0>{}), number<kM0>{}, number<kN0>{});
 
        const auto num_total_loop = integer_divide_ceil(seqlen_k_end - seqlen_k_start, kN0);
 
        // check early exit if masked and no work to do.
        if constexpr(FmhaMask::IsMasking)
        {
            if(num_total_loop <= 0)
            {
                if constexpr(kStoreLSE)
                {
                    auto lse =
                        make_static_distributed_tensor<LSEDataType>(m.get_tile_distribution());
 
                    set_tile(lse, -numeric<SMPLComputeDataType>::infinity());
 
                    store_tile(lse_dram_window_tmp, tile_elementwise_in(lse_element_func, lse));
                }
 
                // Note: here occ are all cleard, return it
                // Note: q loaded but no fence, ignore it.
                return o_acc;
            }
        }
 
        auto k_dram_block_window =
            make_tile_window(k_dram_block_window_tmp.get_bottom_tensor_view(),
                             k_dram_block_window_tmp.get_window_lengths(),
                             {seqlen_k_start, 0});
 
        const auto bias_origin = bias_dram_block_window_tmp.get_window_origin();
        auto bias_dram_window =
            make_tile_window(bias_dram_block_window_tmp.get_bottom_tensor_view(),
                             bias_dram_block_window_tmp.get_window_lengths(),
                             {bias_origin.at(number<0>{}), seqlen_k_start}, // M/N
                             Policy::template MakeBiasDramTileDistribution<decltype(gemm_0)>());
 
        auto v_dram_window =
            make_tile_window(v_dram_block_window_tmp.get_bottom_tensor_view(),
                             v_dram_block_window_tmp.get_window_lengths(),
                             {0, seqlen_k_start}, // TODO: hdim split?
                             Policy::template MakeVDramTileDistribution<Problem>());
 
        // prefetch K tile
        index_t i_total_loops      = 0;
        constexpr index_t k0_loops = kQKHeaddim / kK0;
        constexpr index_t k1_loops = kN0 / kK1;
 
        static_assert(2 <= k0_loops);
        static_assert(1 <= k1_loops);
        do
        {
            // STAGE 1, QK gemm
            auto q_dram_window =
                make_tile_window(q_dram_block_window_tmp.get_bottom_tensor_view(),
                                 q_dram_block_window_tmp.get_window_lengths(),
                                 q_dram_block_window_tmp.get_window_origin(),
                                 Policy::template MakeQDramTileDistribution<Problem>());
 
            auto k_dram_window =
                make_tile_window(k_dram_block_window.get_bottom_tensor_view(),
                                 k_dram_block_window.get_window_lengths(),
                                 k_dram_block_window.get_window_origin(),
                                 Policy::template MakeKDramTileDistribution<Problem>());
 
            auto q_block_tile = load_tile(q_dram_window);
            auto k_block_tile = load_tile(k_dram_window);
            {
                move_tile_window(q_dram_window, {0, kK0});
                move_tile_window(k_dram_window, {0, kK0});
 
                clear_tile(s_acc); // initialize C
 
                store_tile(q_lds_window, tile_elementwise_in(q_element_func, q_block_tile));
                q_block_tile = load_tile(q_dram_window);
 
                store_tile(k_lds_window, tile_elementwise_in(k_element_func, k_block_tile));
                k_block_tile = load_tile(k_dram_window);
            }
 
            if constexpr(BiasEnum == BlockAttentionBiasEnum::ELEMENTWISE_BIAS)
            {
                __builtin_amdgcn_sched_barrier(
                    0); // prevent from messing up the order of global loads
            }
            const auto bias_tile = load_tile(bias_dram_window); // load bias tile
            if constexpr(BiasEnum == BlockAttentionBiasEnum::ELEMENTWISE_BIAS)
            {
                __builtin_amdgcn_sched_barrier(
                    0); // prevent from messing up the order of global loads
            }
 
            if constexpr(k0_loops > 2)
            {
                static_for<0, k0_loops - 2, 1>{}([&](auto) {
                    block_sync_lds();
                    gemm_0(s_acc, q_lds_window, k_lds_window);
                    block_sync_lds();
 
                    move_tile_window(q_dram_window, {0, kK0});
                    move_tile_window(k_dram_window, {0, kK0});
 
                    store_tile(
                        q_lds_window,
                        tile_elementwise_in(q_element_func, q_block_tile)); // LDS write i + 1
                    q_block_tile = load_tile(q_dram_window);                // global read i + 2
 
                    store_tile(
                        k_lds_window,
                        tile_elementwise_in(k_element_func, k_block_tile)); // LDS write i + 1
                    k_block_tile = load_tile(k_dram_window);                // global read i + 2
                });
            }
 
            { // tail
                block_sync_lds();
                gemm_0(s_acc, q_lds_window, k_lds_window);
                block_sync_lds();
 
                store_tile(q_lds_window, tile_elementwise_in(q_element_func, q_block_tile));
                store_tile(k_lds_window, tile_elementwise_in(k_element_func, k_block_tile));
                block_sync_lds();
 
                gemm_0(s_acc, q_lds_window, k_lds_window);
            }
 
            __builtin_amdgcn_sched_barrier(0);
            const auto v_prefetch = load_tile(v_dram_window); // prefetch load v tile
            __builtin_amdgcn_sched_barrier(0);
 
            // STAGE 2, scale_s, add bias, mask, softmax
            if constexpr(BiasEnum == BlockAttentionBiasEnum::ELEMENTWISE_BIAS)
            {
                s_acc = tile_elementwise_in(s_acc_element_func, s_acc);
                tile_elementwise_inout([&scale_s](auto& x) { x = x * scale_s; }, s_acc);
                tile_elementwise_inout(
                    [&](auto& x, const auto& y) {
#if !CK_TILE_FMHA_FWD_FAST_EXP2
                        x += type_convert<SaccDataType>(bias_element_func(y));
#else
                        x += log2e_v<SaccDataType> *
                             type_convert<SaccDataType>(bias_element_func(y));
#endif
                    },
                    s_acc,
                    bias_tile);
            }
            else if constexpr(BiasEnum == BlockAttentionBiasEnum::ALIBI)
            {
                const auto k_origin    = k_dram_block_window.get_window_origin();
                constexpr auto s_spans = decltype(s_acc)::get_distributed_spans();
                s_acc                  = tile_elementwise_in(s_acc_element_func, s_acc);
                sweep_tile_span(s_spans[number<0>{}], [&](auto idx0) {
                    sweep_tile_span(s_spans[number<1>{}], [&](auto idx1) {
                        const auto tile_idx = get_x_indices_from_distributed_indices(
                            s_acc.get_tile_distribution(), make_tuple(idx0, idx1));
 
                        const auto row = q_origin.at(number<0>{}) + tile_idx.at(number<0>{});
                        const auto col = k_origin.at(number<0>{}) + tile_idx.at(number<1>{});
                        constexpr auto i_j_idx = make_tuple(idx0, idx1);
 
                        s_acc(i_j_idx) *= scale_s;
                        position_encoding.update(s_acc(i_j_idx), row, col);
                    });
                });
            }
            else
            {
                s_acc = tile_elementwise_in(s_acc_element_func, s_acc);
                if constexpr(kHasLogitsSoftCap)
                {
                    auto apply_logits_transform =
                        [&variant, &variant_params, &block_indices](auto& x) {
                            x = variant.LogitsTransform(variant_params,
                                                        variant.QueryTransform(variant_params, x),
                                                        block_indices.batch_idx,
                                                        block_indices.qo_head_idx,
                                                        block_indices.kv_head_idx);
                        };
#if !CK_TILE_FMHA_FWD_FAST_EXP2
                    tile_elementwise_inout(apply_logits_transform, s_acc);
#else
                    tile_elementwise_inout(apply_logits_transform, s_acc);
#endif
                }
                else
                {
#if !CK_TILE_FMHA_FWD_FAST_EXP2
                    tile_elementwise_inout([&scale_s](auto& x) { x = x * scale_s; }, s_acc);
#endif
                }
            }
            move_tile_window(bias_dram_window, {0, kN0});
            if constexpr(kPadSeqLenK || FmhaMask::IsMasking)
            {
                const auto k_origin      = k_dram_block_window.get_window_origin();
                bool need_perpixel_check = mask.IsEdgeTile(q_origin.at(number<0>{}),
                                                           k_origin.at(number<0>{}),
                                                           number<kM0>{},
                                                           number<kN0>{});
                if(need_perpixel_check)
                {
                    set_tile_if(
                        s_acc, -numeric<SMPLComputeDataType>::infinity(), [&](auto tile_idx) {
                            const auto row = q_origin.at(number<0>{}) + tile_idx.at(number<0>{});
                            const auto col = k_origin.at(number<0>{}) + tile_idx.at(number<1>{});
                            return !variant.LogitsMask(variant_params,
                                                       block_indices.batch_idx,
                                                       row,
                                                       col,
                                                       block_indices.qo_head_idx,
                                                       block_indices.kv_head_idx);
                        });
                }
            }
 
            const auto s = cast_tile<SMPLComputeDataType>(s_acc); // S{j}
            auto m_local = block_tile_reduce<SMPLComputeDataType>(
                s,
                sequence<1>{},
                f_max,
                -numeric<SMPLComputeDataType>::infinity()); // m_local = rowmax(S{j})
            block_tile_reduce_sync(m_local, f_max, bool_constant<false>{});
 
            const auto m_old = m; // m{j-1}
            tile_elementwise_inout(
                [](auto& e0, auto e1, auto e2) { e0 = max(e1, e2); }, m, m_old, m_local); // m{j}
 
            auto p_compute = make_static_distributed_tensor<SMPLComputeDataType>(
                s.get_tile_distribution()); // Pcompute{j}
 
            static const auto get_validated_m = [](SMPLComputeDataType raw_m) {
                if constexpr(BiasEnum == BlockAttentionBiasEnum::ELEMENTWISE_BIAS ||
                             FmhaMask::IsMasking)
                {
                    return raw_m == -numeric<SMPLComputeDataType>::infinity()
                               ? type_convert<SMPLComputeDataType>(0.f)
                               : raw_m;
                }
                else
                {
                    return raw_m;
                }
            };
 
            constexpr auto p_spans = decltype(p_compute)::get_distributed_spans();
            sweep_tile_span(p_spans[number<0>{}], [&](auto idx0) {
                constexpr auto i_idx = make_tuple(idx0);
#if CK_TILE_FMHA_FWD_FAST_EXP2
                auto row_max = scale_s * get_validated_m(m[i_idx]);
#endif
                sweep_tile_span(p_spans[number<1>{}], [&](auto idx1) {
                    constexpr auto i_j_idx = make_tuple(idx0, idx1);
#if CK_TILE_FMHA_FWD_FAST_EXP2
                    if constexpr(BiasEnum == BlockAttentionBiasEnum::ELEMENTWISE_BIAS ||
                                 BiasEnum == BlockAttentionBiasEnum::ALIBI)
                    {
                        p_compute(i_j_idx) = exp2(s[i_j_idx] - get_validated_m(m[i_idx]));
                    }
                    else
                    {
                        if constexpr(kHasLogitsSoftCap)
                        {
                            p_compute(i_j_idx) = exp2(s[i_j_idx] - get_validated_m(m[i_idx]));
                        }
                        else
                        {
                            p_compute(i_j_idx) = exp2(scale_s * s[i_j_idx] - row_max);
                        }
                    }
#else
                    p_compute(i_j_idx)     = exp(s[i_j_idx] - get_validated_m(m[i_idx]));
#endif
                });
            });
 
            auto rowsum_p = block_tile_reduce<SMPLComputeDataType>(
                p_compute, sequence<1>{}, f_sum, SMPLComputeDataType{0}); // rowsum(Pcompute{j})
 
            block_tile_reduce_sync(rowsum_p, f_sum, bool_constant<false>{});
 
            const auto p =
                cast_tile<PDataType>(tile_elementwise_in(p_compute_element_func, p_compute));
 
            __builtin_amdgcn_sched_barrier(0);
 
            // l{j}, Oacc{j}
            constexpr auto o_spans = decltype(o_acc)::get_distributed_spans();
            sweep_tile_span(o_spans[number<0>{}], [&](auto idx0) {
                constexpr auto i_idx = make_tuple(idx0);
#if CK_TILE_FMHA_FWD_FAST_EXP2
                const auto tmp = [&]() {
                    if constexpr(BiasEnum == BlockAttentionBiasEnum::ELEMENTWISE_BIAS ||
                                 BiasEnum == BlockAttentionBiasEnum::ALIBI)
                    {
                        return exp2(m_old[i_idx] - get_validated_m(m[i_idx]));
                    }
                    else
                    {
                        if constexpr(kHasLogitsSoftCap)
                        {
 
                            return exp2(m_old[i_idx] - get_validated_m(m[i_idx]));
                        }
                        else
                        {
                            auto row_max = scale_s * get_validated_m(m[i_idx]);
                            return exp2(scale_s * m_old[i_idx] - row_max);
                        }
                    }
                }();
#else
                const auto tmp       = exp(m_old[i_idx] - get_validated_m(m[i_idx]));
#endif
                l(i_idx) = tmp * l[i_idx] + rowsum_p[i_idx];
                sweep_tile_span(o_spans[number<1>{}], [&](auto idx1) {
                    constexpr auto i_j_idx = make_tuple(idx0, idx1);
                    // FIXME: this use different equation from FA v2 paper,
                    // but produce correc result.
                    // Is the equation wrong?
                    o_acc(i_j_idx) *= tmp;
                });
            });
 
            block_sync_lds();
            if constexpr(std::is_same_v<VLayout, ck_tile::tensor_layout::gemm::RowMajor>)
            {
                auto v_shuffle_tmp = make_static_distributed_tensor<VDataType>(
                    Policy::template MakeShuffledVRegBlockDescriptor<Problem>());
                shuffle_tile(v_shuffle_tmp, v_prefetch);
                store_tile(
                    v_lds_window,
                    tile_elementwise_in(v_element_func, v_shuffle_tmp)); // store the prefetch
            }
            else
            {
                store_tile(v_lds_window,
                           tile_elementwise_in(v_element_func, v_prefetch)); // store the prefetch
            }
            move_tile_window(v_dram_window, {0, kK1});
 
            // STAGE 3, KV gemm
            if constexpr(k1_loops > 1)
            {
                static_for<0, k1_loops - 1, 1>{}([&](auto i_k1) {
                    const auto v = load_tile(v_dram_window); // load next v
                    block_sync_lds();
                    gemm_1(o_acc,
                           get_slice_tile(
                               p, sequence<0, i_k1 * kK1>{}, sequence<kM0, (i_k1 + 1) * kK1>{}),
                           v_lds_window);
                    block_sync_lds();
                    if constexpr(std::is_same_v<VLayout, ck_tile::tensor_layout::gemm::RowMajor>)
                    {
                        auto v_shuffle_tmp = make_static_distributed_tensor<VDataType>(
                            Policy::template MakeShuffledVRegBlockDescriptor<Problem>());
                        shuffle_tile(v_shuffle_tmp, v);
                        store_tile(v_lds_window,
                                   tile_elementwise_in(v_element_func,
                                                       v_shuffle_tmp)); // store the prefetch
                    }
                    else
                    {
                        store_tile(v_lds_window,
                                   tile_elementwise_in(v_element_func, v)); // store next v
                    }
                    move_tile_window(v_dram_window, {0, kK1});
                });
            }
            // move K tile windows
            move_tile_window(k_dram_block_window, {kN0, 0});
            // tail
            {
                block_sync_lds();
                gemm_1(o_acc,
                       get_slice_tile(p, sequence<0, (k1_loops - 1) * kK1>{}, sequence<kM0, kN0>{}),
                       v_lds_window);
                block_sync_lds();
            }
        } while(++i_total_loops < num_total_loop);
 
        // store lse
        if constexpr(kStoreLSE)
        {
            auto lse = make_static_distributed_tensor<LSEDataType>(m.get_tile_distribution());
 
            constexpr auto lse_spans = decltype(lse)::get_distributed_spans();
            sweep_tile_span(lse_spans[number<0>{}], [&, m_ = m, l_ = l](auto idx0) {
                constexpr auto i_idx = make_tuple(idx0);
#if CK_TILE_FMHA_FWD_FAST_EXP2
                if constexpr(BiasEnum == BlockAttentionBiasEnum::ELEMENTWISE_BIAS ||
                             BiasEnum == BlockAttentionBiasEnum::ALIBI)
                {
                    lse(i_idx) = m_[i_idx] / C_LOG2E + log(l_[i_idx]);
                }
                else
                {
                    if constexpr(kHasLogitsSoftCap)
                    {
                        lse(i_idx) = m_[i_idx] / C_LOG2E + log(l_[i_idx]);
                    }
                    else
                    {
                        lse(i_idx) = m_[i_idx] * scale_s / C_LOG2E + log(l_[i_idx]);
                    }
                }
#else
                lse(i_idx) = m_[i_idx] + log(l_[i_idx]);
#endif
            });
 
            store_tile(lse_dram_window_tmp, tile_elementwise_in(lse_element_func, lse));
        }
 
        // finally, O
        constexpr auto o_spans = decltype(o_acc)::get_distributed_spans();
 
        sweep_tile_span(o_spans[number<0>{}], [&](auto idx0) {
            constexpr auto i_idx = make_tuple(idx0);
            const auto tmp       = [&]() {
                if constexpr(FmhaMask::IsMasking)
                {
                    return l[i_idx] == 0.f ? 0.f : 1 / l[i_idx];
                }
                else
                    return 1 / l[i_idx];
            }();
            sweep_tile_span(o_spans[number<1>{}], [&](auto idx1) {
                constexpr auto i_j_idx = make_tuple(idx0, idx1);
                o_acc(i_j_idx) *= tmp;
            });
        });
 
        o_acc = tile_elementwise_in(o_acc_element_func, o_acc);
 
        return o_acc;
    }
 
    template <typename QDramBlockWindowTmp,
              typename KDramBlockWindowTmp,
              typename VDramBlockWindowTmp,
              typename BiasDramBlockWindowTmp,
              typename RandValDramBlockWindowTmp,
              typename LSEDramBlockWindowTmp,
              typename PositionEncoding,
              typename AttentionVariantParams,
              typename BlockIndices>
    CK_TILE_HOST_DEVICE auto
    operator()(const QDramBlockWindowTmp& q_dram_block_window_tmp,       // M0*K0 tile
               const KDramBlockWindowTmp& k_dram_block_window_tmp,       // N0*K0 tile
               const VDramBlockWindowTmp& v_dram_block_window_tmp,       // N1*K1 tile
               const BiasDramBlockWindowTmp& bias_dram_block_window_tmp, // M0*N0 tile
               RandValDramBlockWindowTmp& randval_dram_block_window_tmp, // M0*N0 tile
               LSEDramBlockWindowTmp& lse_dram_block_window_tmp,         // M0*1 tile
               FmhaMask mask,
               PositionEncoding position_encoding,
               float scale_s,
               const AttentionVariant& variant,
               const AttentionVariantParams& variant_params,
               const BlockIndices& block_indices,
               void* smem_ptr,
               DropoutType& dropout) const
    {
        return operator()(q_dram_block_window_tmp,
                          identity{},
                          k_dram_block_window_tmp,
                          identity{},
                          v_dram_block_window_tmp,
                          identity{},
                          bias_dram_block_window_tmp,
                          identity{},
                          randval_dram_block_window_tmp,
                          lse_dram_block_window_tmp,
                          identity{},
                          identity{},
                          identity{},
                          identity{},
                          mask,
                          position_encoding,
                          scale_s,
                          variant,
                          variant_params,
                          block_indices,
                          smem_ptr,
                          dropout);
    }
};
 
} // namespace ck_tile