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/*! \file
    \brief Templates implementing how threads are mapped to a given tile.
*/

#pragma once

#include "cute/arch/mma_sm90_gmma.hpp"
/////////////////////////////////////////////////////////////////////////////////////////////////

namespace cutlass {
namespace transform {
namespace collective {

/////////////////////////////////////////////////////////////////////////////////////////////////

namespace detail {
using namespace cute;

template <bool Transpose, class SmemLayoutAtom, class ElementType>
constexpr auto
gmma_smem_transpose_or_passthrough() {
  if constexpr (Transpose) {
    if constexpr (cute::is_same_v<GMMA::Layout_MN_SW128_Atom<ElementType>, SmemLayoutAtom>) {
      return GMMA::Layout_K_SW128_Atom<ElementType>{};
    }
    else if constexpr (cute::is_same_v<GMMA::Layout_MN_SW64_Atom<ElementType>, SmemLayoutAtom>) {
      return GMMA::Layout_K_SW64_Atom<ElementType>{};
    }
    else if constexpr (cute::is_same_v<GMMA::Layout_MN_SW32_Atom<ElementType>, SmemLayoutAtom>) {
      return GMMA::Layout_K_SW32_Atom<ElementType>{};
    }
    else if constexpr (cute::is_same_v<GMMA::Layout_MN_INTER_Atom<ElementType>, SmemLayoutAtom>) {
      return GMMA::Layout_K_INTER_Atom<ElementType>{};
    }
    else {
      static_assert(cutlass::detail::dependent_false<SmemLayoutAtom>, "Unsupported Layout_SW_Atom for B SMEM transposition");
    }
  }
  else {
    return SmemLayoutAtom{};
  }
}

template <class SmemCopyAtom, class ElementType>
constexpr auto
use_universal_transposition() {
  if constexpr (sizeof(ElementType) == 1) {
    return !cute::is_same_v<GMMA::Layout_MN_SW128_Atom<ElementType>, SmemCopyAtom>;
  }
  else if constexpr (sizeof(ElementType) == 4){
    // Only universal transposition can handle SW64 and Non swizzle SMEM layout
    if constexpr (cute::is_same_v<GMMA::Layout_MN_SW64_Atom<ElementType>, SmemCopyAtom> ||
                  cute::is_same_v<GMMA::Layout_MN_INTER_Atom<ElementType>, SmemCopyAtom>) {
      return true;
    }
    else {
      return false;
    }
  }
  else {
    static_assert(cutlass::detail::dependent_false<ElementType>, "Unsupported ElementType for B SMEM transposition");
  }
}

template<
  class TiledMma_,
  class SmemLayoutB_,
  class SmemLayoutAtomB_,
  class ElementB_>
class NoTranspositionOperandB {
public:
  using TiledMma = TiledMma_;
  using SmemLayoutB = SmemLayoutB_;
  using SmemLayoutAtomB = SmemLayoutAtomB_;
  using ElementB = ElementB_;

  constexpr CUTLASS_HOST_DEVICE
  NoTranspositionOperandB(
      int,
      int,
      TiledMma,
      SmemLayoutB,
      SmemLayoutAtomB,
      ElementB) { }

  template <
    class TensorSmemB,
    class TensorTransposedSmemB>
  CUTLASS_DEVICE void operator()(
    TensorSmemB const&,
    TensorTransposedSmemB const&,
    int, int) { }

  CUTLASS_DEVICE void synchronize(int) { }

  CUTLASS_DEVICE void synchronize() { }

  template <
    class TensorSmemB,
    class TensorTransposedSmemB>
  CUTLASS_DEVICE void transpose(
    TensorSmemB const&,
    TensorTransposedSmemB const&,
    int) { }
};

template<
  class TiledMma_,
  class SmemLayoutB_,
  class SmemLayoutAtomB_,
  class ElementB_>
class UniversalTranspositionOperandB {
public:
  using TiledMma = TiledMma_;
  using SmemLayoutB = SmemLayoutB_;
  using SmemLayoutAtomB = SmemLayoutAtomB_;
  using ElementB = ElementB_;
  
  constexpr CUTLASS_HOST_DEVICE 
  UniversalTranspositionOperandB(
      int warp_idx_,
      int warp_group_thread_idx_,
      TiledMma,
      SmemLayoutB,
      SmemLayoutAtomB,
      ElementB)
      : warp_idx(warp_idx_)
      , warp_group_thread_idx(warp_group_thread_idx_) { }

  template <
    class TensorSmemB,
    class TensorTransposedSmemB>
  CUTLASS_DEVICE void operator()(
    TensorSmemB const& sB,
    TensorTransposedSmemB const& gmma_sB,
    int read_stage, int current_step) {
      if (current_step > 0) {
        return;
      }

      constexpr int NumMathWarpGroup = CUTE_STATIC_V(size(TiledMma{})) / NumThreadsPerWarpGroup;
      static_assert(NumMathWarpGroup == 1 ||
                    (!detail::use_universal_transposition<SmemLayoutAtomB, ElementB>() && NumMathWarpGroup == 2),
                    "Wrong math warp group number for TransposeB");
      constexpr int WarpgroupTileSize = size<1>(SmemLayoutB{});  // A warp group tile would process entire Smem K.

      constexpr int BytesPerSmemSwizzleUnit = 16;
      constexpr int WarpThreadShapeN = BytesPerSmemSwizzleUnit / sizeof(ElementB);
      //////////////////////////////////////////////////////////////////////////////////////////////////////////////
      /// Universal transposition, need warp_group sync between load and store.
      /// The number of reg used depends on the input elementB.
      //////////////////////////////////////////////////////////////////////////////////////////////////////////////
      /*
          In one copy step, a warp group would load WarpgroupTileSize * WarpgroupTileSize tile then store to transposed location.
          In warp_group_tile, each warp holds Four WarpTileSize x WarpTileSize elements:
                    K
              ------------
            | W0 W1 W2 W3  ---
            | W0 W1 W2 W3    |
            | W0 W1 W2 W3    | --> Copy Step 0
            | W0 W1 W2 W3  ---
                  ....
            | W0 W1 W2 W3  ---
            | W0 W1 W2 W3    |
            | W0 W1 W2 W3    | --> Copy Step n
            | W0 W1 W2 W3  ---
      */
      static_assert((NumThreadsPerWarpGroup % WarpThreadShapeN == 0), "Unsupported warp thread layout.");
      constexpr auto WarpgroupThreadLayout = make_layout(make_shape(Int<WarpThreadShapeN>{}, Int<NumThreadsPerWarpGroup / WarpThreadShapeN>{}));

      // Get copy tile and partition to each thread
      auto sB_tiled_copy = make_tiled_copy(
        Copy_Atom<DefaultCopy, ElementB>{},
        WarpgroupThreadLayout,                           // thr_layout
        Layout<_1>{}                                     // val_layout
      );
      static_assert(size(sB_tiled_copy) == size(TiledMma{}), "Wrong thread number in TiledCopy.");

      auto sB_thr_copy        = sB_tiled_copy.get_thread_slice(warp_group_thread_idx);
      Tensor tCsB             = sB_thr_copy.partition_S(     sB(_,_,read_stage)); // (CPY, CPY_N, CPY_K)
      Tensor tCsB_transposed  = sB_thr_copy.partition_D(gmma_sB(_,_,read_stage)); // (CPY, CPY_N, CPY_K)

      // Divide partitioned tile to limit register usage
      constexpr int  CopySteps      = size<0>(SmemLayoutB{}) / WarpgroupTileSize;
      constexpr auto CopyTileShape  = make_shape(size<0>(tCsB), Int< size<1>(tCsB) / CopySteps >{}, size<2>(tCsB));
      static_assert(size<1>(tCsB) % CopySteps == 0, "CopySteps must evenly divide rank 1 size of partitioned SMEM.");

      Tensor tCsB_copy_tile            = zipped_divide(tCsB, CopyTileShape);
      Tensor tCsB_copy_tile_transposed = zipped_divide(tCsB_transposed, CopyTileShape);
      auto   transpose_fragment        = make_fragment_like(tCsB_copy_tile(_,_0{}));

      CUTLASS_PRAGMA_NO_UNROLL
      for (int step = 0; step < CopySteps; ++step) {
        copy(sB_tiled_copy, tCsB_copy_tile(_,step), transpose_fragment);

        // Make sure all elements are read before being overwritten
        __syncthreads();

        copy(sB_tiled_copy, transpose_fragment, tCsB_copy_tile_transposed(_,step));
      }
  }

  CUTLASS_DEVICE void synchronize(int step) {
    if (step == 0) {
      // SMEM fence to make sure B is transposed before math
      cutlass::arch::fence_view_async_shared();
      cutlass::arch::NamedBarrier::sync(size(TiledMma{}), cutlass::arch::ReservedNamedBarriers::TransposeBarrier);
    }
  }

  CUTLASS_DEVICE void synchronize() {
    // SMEM fence to make sure B is transposed before math
    cutlass::arch::fence_view_async_shared();
    cutlass::arch::NamedBarrier::sync(size(TiledMma{}), cutlass::arch::ReservedNamedBarriers::TransposeBarrier);
  }

  template <
    class TensorSmemB,
    class TensorTransposedSmemB>
  CUTLASS_DEVICE void transpose(
    TensorSmemB const& sB,
    TensorTransposedSmemB const& gmma_sB,
    int read_stage) {

    this->operator()(sB, gmma_sB, read_stage, 0);
    synchronize();

  }

private:
  const int warp_idx;
  const int warp_group_thread_idx;
};

template<
  class TiledMma_,
  class SmemLayoutB_,
  class SmemLayoutAtomB_,
  class ElementB_>
class AsyncTranspositionOperandB {
public:

  using TiledMma = TiledMma_;
  using SmemLayoutB = SmemLayoutB_;
  using SmemLayoutAtomB = SmemLayoutAtomB_;
  using ElementB = ElementB_;
  
  static constexpr int Steps             = 2;
  static constexpr int NumMathWarpGroup  = CUTE_STATIC_V(size(TiledMma{})) / NumThreadsPerWarpGroup;
  static constexpr int StepsPerWarpGroup = Steps / NumMathWarpGroup;
  static_assert(NumMathWarpGroup <= 2,
                    "Wrong math warp group number for TransposeB");
  static constexpr int WarpgroupTileSize = size<1>(SmemLayoutB{});  // A warp group tile would process entire Smem K.
  static constexpr int NumWarpsPerWarpGroup = NumThreadsPerWarpGroup / NumThreadsPerWarp;

  static constexpr int BytesPerSmemSwizzleUnit = 16;
  static constexpr int WarpThreadShapeN = BytesPerSmemSwizzleUnit / sizeof(ElementB);
  static constexpr int WarpThreadShapeK = NumThreadsPerWarp / WarpThreadShapeN;
  static constexpr int NumWarpTilePerWarpgroupTile = NumWarpsPerWarpGroup * (Steps == 8 ? 2 : 1);

  static constexpr int WarpTileSize                = WarpgroupTileSize / NumWarpTilePerWarpgroupTile;
  static_assert(WarpTileSize >= WarpThreadShapeN && WarpTileSize >= WarpThreadShapeK, "Invalid warp thread shape." );
  static constexpr int TilesPerWarp                = 2;                     // Each Warp would process 2 warp_tiles in one step.
  static constexpr int64_t WarpTileNCoordLUT = 06723763275316420;
  static constexpr int64_t WarpTileKCoordLUT = 05410541064206420;
  static constexpr int NumStepsEncoded       = 4;                             // Only encoding first 4 steps into LUT.
  static constexpr int MaskPerStep           = 07;                            // Each step is encoded into 3bits,
  static constexpr int NumBitsPerStep        = 3;
  static constexpr int MaskPerWarp           = 07777;                         // Each warp has 4 steps(12 bits)
  static constexpr int NumBitsPerWarp        = 12;
  // Number of warp_group_tiles
  static_assert(size<0>(SmemLayoutB{}) % WarpgroupTileSize == 0,
    "Copy size must evenly divide SMEM tile.");
  static constexpr int WarpgroupTileNum = size<0>(SmemLayoutB{}) / WarpgroupTileSize;

  static_assert(size<2>(typename TiledMma::AtomShape_MNK{}) <= WarpThreadShapeK,
      "Need to be able to transpose first k-block in the first step");

  constexpr CUTLASS_HOST_DEVICE
  AsyncTranspositionOperandB(
      int warp_idx_,
      int warp_group_thread_idx_,
      TiledMma,
      SmemLayoutB,
      SmemLayoutAtomB,
      ElementB)
      : warp_idx(warp_idx_)
      , warp_group_thread_idx(warp_group_thread_idx_)
      , warp_idx_in_warp_group(warp_idx_ % NumWarpsPerWarpGroup)
      , current_warp_tile_n_coord_LUT((WarpTileNCoordLUT >> ((warp_idx_
            % NumWarpsPerWarpGroup) * NumBitsPerWarp)) & MaskPerWarp)
      , current_warp_tile_k_coord_LUT((WarpTileKCoordLUT >> ((warp_idx_
            % NumWarpsPerWarpGroup) * NumBitsPerWarp)) & MaskPerWarp) { }

  template <
    class TensorSmemB,
    class TensorTransposedSmemB>
  CUTLASS_DEVICE void operator()(
      TensorSmemB const& sB,
      TensorTransposedSmemB const& gmma_sB,
      int read_stage, int current_step)
  {
      if (current_step >= StepsPerWarpGroup) {
        return;
      }

      static constexpr auto WarpThreadLayout           = make_layout(make_shape(Int<WarpThreadShapeN>{}, Int<WarpThreadShapeK>{}));
      //////////////////////////////////////////////////////////////////////////////////////////////////////////////
      /// A warp group uses 2 steps to transpose the whole WarpgroupTileSize x WarpgroupTileSize.
      /// In each step, one warp would hold two warp_tiles.
      ///  Step 0:                Step 1:
      ///  W0 W1 W2 W3            -- -- -- --
      ///  W1 W0 -- --            -- -- W3 W2
      ///  W2 -- -- --            -- W3 W0 W1
      ///  W3 -- -- --            -- W2 W1 W0
      ///
      /////////////////////////////////////////////////////////////////////////////////////////////////////////////
      ///
      /// Fully static coord LUT to avoid extra register use.
      /// [warp_id][step][warp_tile][n / k]
      /// Step 0            Step 1         Step 2          Step 3          Step 4          Step 5         Step 6           Step 7
      /// {{{0,0}, {1,1}}, {{2,2}, {3,3}}, {{4,4}, {5,5}}, {{6,6}, {7,7}}, {{4,0}, {0,4}}, {{4,1}, {1,4}}, {{4,2}, {2,4}}, {{4,3}, {3,4}}}, // W0
      /// {{{1,0}, {0,1}}, {{3,2}, {2,3}}, {{5,4}, {4,5}}, {{7,6}, {6,7}}, {{5,0}, {0,5}}, {{5,1}, {1,5}}, {{5,2}, {2,5}}, {{5,3}, {3,5}}}, // W1
      /// {{{2,0}, {0,2}}, {{3,1}, {1,3}}, {{6,4}, {4,6}}, {{7,5}, {5,7}}, {{6,0}, {0,6}}, {{6,1}, {1,6}}, {{6,2}, {2,6}}, {{6,3}, {3,6}}}, // W2
      /// {{{3,0}, {0,3}}, {{2,1}, {1,2}}, {{7,4}, {4,7}}, {{6,5}, {5,6}}, {{7,0}, {0,7}}, {{7,1}, {1,7}}, {{7,2}, {2,7}}, {{7,3}, {3,7}}}, // W3
      ///
      /// Encoding the coord of warp tile0 into two int64_t values.
      /// Only encoding Step 0 ~ Step 4, since Step 5 ~ Step 7 have a straightforward pattern.
      /// Only encoding warp tile0, since the coords of warp tile1 could be easily deduced from warp tile0.
      /// The 2-step transposition and the 8-step transposition share the same encoding.
      ///
      //////////////////////////////////////////////////////////////////////////////////////////////////////////////

      // Divide entire SMEM to multiple warp_tiles
      constexpr auto WarpTileShape = make_shape(Int<WarpTileSize>(), Int<WarpTileSize>());
      Tensor s_tile                = zipped_divide(     sB(_,_,read_stage), WarpTileShape);
      Tensor s_tile_transposed     = zipped_divide(gmma_sB(_,_,read_stage), WarpTileShape);

      // Get copy tile
      auto sB_tiled_copy = make_tiled_copy(
        Copy_Atom<DefaultCopy, ElementB>{},
        WarpThreadLayout,     // thr_layout
        Layout<_1>{}          // val_layout
      );

      static_assert(size(sB_tiled_copy) * NumWarpsPerWarpGroup == size(TiledMma{}) / NumMathWarpGroup, "Wrong thread number in TiledCopy.");
      auto sB_thr_copy = sB_tiled_copy.get_thread_slice(warp_group_thread_idx % NumThreadsPerWarp);  // slice based on lane_idx

      // Construct fragments for transposition
      Tensor tmp_tCsB = sB_thr_copy.partition_S(flatten(s_tile(_, make_coord(_0{}, _0{}))));
      decltype(make_fragment_like(tmp_tCsB)) transpose_fragments[TilesPerWarp] = {
        make_fragment_like(tmp_tCsB),
        make_fragment_like(tmp_tCsB)
      };

      [[maybe_unused]] int step = current_step * NumMathWarpGroup;
      if constexpr (NumMathWarpGroup == 2) {
        // For 2 math warpgroup, warp idx4~7 is 1st warp group and 8~9 is 2nd, so decide if 2nd warpgroup need warp idx divide 8.
        step += warp_idx / (NumWarpsPerWarpGroup * 2);
      }

      int tmp_warp_tile_n_coord_LUT = current_warp_tile_n_coord_LUT >> (NumBitsPerStep * current_step);
      int tmp_warp_tile_k_coord_LUT = current_warp_tile_k_coord_LUT >> (NumBitsPerStep * current_step);

      if constexpr (NumMathWarpGroup == 2) {
        tmp_warp_tile_n_coord_LUT >>= NumBitsPerStep * (warp_idx / (NumWarpsPerWarpGroup * 2));
        tmp_warp_tile_k_coord_LUT >>= NumBitsPerStep * (warp_idx / (NumWarpsPerWarpGroup * 2));
      }

      // decoding the warp tile coord.
      int warp_tile0_n, warp_tile0_k;
      if constexpr (StepsPerWarpGroup <= NumStepsEncoded) {
        warp_tile0_n = tmp_warp_tile_n_coord_LUT & MaskPerStep;
        warp_tile0_k = tmp_warp_tile_k_coord_LUT & MaskPerStep;
      } else {
        warp_tile0_n = step < NumStepsEncoded ? (tmp_warp_tile_n_coord_LUT & MaskPerStep) : 4 + warp_idx_in_warp_group;
        warp_tile0_k = step < NumStepsEncoded ? (tmp_warp_tile_k_coord_LUT & MaskPerStep) : step - 4;
      }

      int warp_tile1_n = warp_tile0_n == warp_tile0_k ? warp_tile0_n + 1 : warp_tile0_k;
      int warp_tile1_k = warp_tile0_n == warp_tile0_k ? warp_tile0_k + 1 : warp_tile0_n;

      CUTLASS_PRAGMA_UNROLL
      for (int warp_group_tile = 0; warp_group_tile < WarpgroupTileNum; ++warp_group_tile) {

        static_assert(TilesPerWarp == 2);

        // [warp_tile][n/k]
        const int warp_tile_coord[TilesPerWarp][2] = {
          // n                                                           k
          {warp_group_tile * NumWarpTilePerWarpgroupTile + warp_tile0_n, warp_tile0_k}, // warp_tile 0
          {warp_group_tile * NumWarpTilePerWarpgroupTile + warp_tile1_n, warp_tile1_k}  // warp_tile 1
        };

        CUTLASS_PRAGMA_UNROLL
        for (int warp_tile = 0; warp_tile < TilesPerWarp; ++warp_tile) {
          Tensor tCsB = sB_thr_copy.partition_S(
            flatten(s_tile(_, make_coord(warp_tile_coord[warp_tile][0], warp_tile_coord[warp_tile][1])))
          ); // (CPY, CPY_N, CPY_K)

          copy(sB_tiled_copy, tCsB, transpose_fragments[warp_tile]);
        }

        // Make sure elements in two 8x8 warp tiles are all consumed
        __syncwarp();

        CUTLASS_PRAGMA_UNROLL
        for (int warp_tile = 0; warp_tile < TilesPerWarp; ++warp_tile) {
          Tensor tCsB_transposed = sB_thr_copy.partition_D(
            flatten(s_tile_transposed(_, make_coord(warp_tile_coord[warp_tile][0], warp_tile_coord[warp_tile][1])))
          ); // (CPY, CPY_N, CPY_K)
          copy(sB_tiled_copy, transpose_fragments[warp_tile], tCsB_transposed);
        }

      } // loop warp_group_tile
  }

  CUTLASS_DEVICE void synchronize(int step) {
    if (step < StepsPerWarpGroup) {
      // SMEM fence to make sure B is transposed before math
      cutlass::arch::fence_view_async_shared();
      cutlass::arch::NamedBarrier::sync(size(TiledMma{}), cutlass::arch::ReservedNamedBarriers::TransposeBarrier);
    }
  }

  CUTLASS_DEVICE void synchronize() {
    cutlass::arch::fence_view_async_shared();
    cutlass::arch::NamedBarrier::sync(size(TiledMma{}), cutlass::arch::ReservedNamedBarriers::TransposeBarrier);
  }

  template <
    class TensorSmemB,
    class TensorTransposedSmemB>
  CUTLASS_DEVICE void transpose(
    TensorSmemB const& sB,
    TensorTransposedSmemB const& gmma_sB,
    int read_stage) {

    CUTLASS_PRAGMA_UNROLL
    for(int i = 0; i < StepsPerWarpGroup; ++i) {
      this->operator()(sB, gmma_sB, read_stage, i);
    }
    synchronize();

  }
private:
  const int warp_idx;
  const int warp_group_thread_idx;
  const int warp_idx_in_warp_group;
  const int current_warp_tile_n_coord_LUT;
  const int current_warp_tile_k_coord_LUT;
};

template<
  class TiledMma_,
  class SmemLayoutB_,
  class SmemLayoutAtomB_,
  class ElementB_>
class AsyncTranspositionOperandB_1BElementB {
public:

  static_assert(sizeof(ElementB_) == 1);

  using TiledMma = TiledMma_;
  using SmemLayoutB = SmemLayoutB_;
  using SmemLayoutAtomB = SmemLayoutAtomB_;
  using ElementB = ElementB_;

  static constexpr int Steps             = 8;
  static constexpr int NumMathWarpGroup  = CUTE_STATIC_V(size(TiledMma{})) / NumThreadsPerWarpGroup;
  static constexpr int StepsPerWarpGroup = Steps / NumMathWarpGroup;
  static_assert(NumMathWarpGroup <= 2,
                    "Wrong math warp group number for TransposeB");
  static constexpr int WarpgroupTileSize = size<1>(SmemLayoutB{});  // A warp group tile would process entire Smem K.
  static constexpr int NumWarpsPerWarpGroup = NumThreadsPerWarpGroup / NumThreadsPerWarp;

  static constexpr int BytesPerSmemSwizzleUnit = 16;
  static constexpr int WarpThreadShapeN = BytesPerSmemSwizzleUnit / sizeof(ElementB);
  static constexpr int WarpThreadShapeK = NumThreadsPerWarp / WarpThreadShapeN;
  static constexpr int NumWarpTilePerWarpgroupTile = NumWarpsPerWarpGroup * (Steps == 8 ? 2 : 1);

  static constexpr int WarpTileSize                = WarpgroupTileSize / NumWarpTilePerWarpgroupTile;
  static_assert(WarpTileSize >= WarpThreadShapeN && WarpTileSize >= WarpThreadShapeK, "Invalid warp thread shape." );
  static constexpr int TilesPerWarp                = 2;                     // Each Warp would process 2 warp_tiles in one step.
  static constexpr int64_t WarpTileNCoordLUT = 06723763275316420;
  static constexpr int64_t WarpTileKCoordLUT = 05410541064206420;
  static constexpr int NumStepsEncoded       = 4;                             // Only encoding first 4 steps into LUT.
  static constexpr int MaskPerStep           = 07;                            // Each step is encoded into 3bits,
  static constexpr int NumBitsPerStep        = 3;
  static constexpr int MaskPerWarp           = 07777;                         // Each warp has 4 steps(12 bits)
  static constexpr int NumBitsPerWarp        = 12;
  // Number of warp_group_tiles
  static_assert(size<0>(SmemLayoutB{}) % WarpgroupTileSize == 0,
    "Copy size must evenly divide SMEM tile.");
  static constexpr int WarpgroupTileNum = size<0>(SmemLayoutB{}) / WarpgroupTileSize;

  constexpr CUTLASS_HOST_DEVICE
  AsyncTranspositionOperandB_1BElementB(
      int warp_idx_,
      int warp_group_thread_idx_,
      TiledMma,
      SmemLayoutB,
      SmemLayoutAtomB,
      ElementB)
      : warp_idx(warp_idx_)
      , warp_group_thread_idx(warp_group_thread_idx_)
      , warp_idx_in_warp_group(warp_idx_ % NumWarpsPerWarpGroup)
      , current_warp_tile_n_coord_LUT((WarpTileNCoordLUT >> ((warp_idx_
            % NumWarpsPerWarpGroup) * NumBitsPerWarp)) & MaskPerWarp)
      , current_warp_tile_k_coord_LUT((WarpTileKCoordLUT >> ((warp_idx_
            % NumWarpsPerWarpGroup) * NumBitsPerWarp)) & MaskPerWarp) { }

  template <
    class TensorSmemB,
    class TensorTransposedSmemB>
  CUTLASS_DEVICE void operator()(
      TensorSmemB const& sB,
      TensorTransposedSmemB const& gmma_sB,
      int read_stage, int current_step)
  {
    if (current_step > 0) {
      return;
    }

    constexpr auto WarpThreadLayout           = make_layout(make_shape(Int<WarpThreadShapeN>{}, Int<WarpThreadShapeK>{}));
    //////////////////////////////////////////////////////////////////////////////////////////////////////////////
    /// A warp group uses 8 steps to transpose the whole WarpgroupTileSize x WarpgroupTileSize.
    ///  Divide a warp_group_tile into 8x8 warp_tiles to further reduce the reg usage.
    ///  Step 0:                   Step 1:                   Step 2:                   Step 3:
    ///  W0 W1 W2 W3 -- -- -- --   -- -- -- -- -- -- -- --   -- -- -- -- -- -- -- --   -- -- -- -- -- -- -- --
    ///  W1 W0 -- -- -- -- -- --   -- -- W3 W2 -- -- -- --   -- -- -- -- -- -- -- --   -- -- -- -- -- -- -- --
    ///  W2 -- -- -- -- -- -- --   -- W3 W0 W1 -- -- -- --   -- -- -- -- -- -- -- --   -- -- -- -- -- -- -- --
    ///  W3 -- -- -- -- -- -- --   -- W2 W1 W0 -- -- -- --   -- -- -- -- -- -- -- --   -- -- -- -- -- -- -- --
    ///  -- -- -- -- -- -- -- --   -- -- -- -- -- -- -- --   -- -- -- -- W0 W1 W2 W3   -- -- -- -- -- -- -- --
    ///  -- -- -- -- -- -- -- --   -- -- -- -- -- -- -- --   -- -- -- -- W1 W0 -- --   -- -- -- -- -- -- W3 W2
    ///  -- -- -- -- -- -- -- --   -- -- -- -- -- -- -- --   -- -- -- -- W2 -- -- --   -- -- -- -- -- W3 W0 W1
    ///  -- -- -- -- -- -- -- --   -- -- -- -- -- -- -- --   -- -- -- -- W3 -- -- --   -- -- -- -- -- W2 W1 W0
    ///
    ///  Step 4:                   Step 5:                   Step 6:                   Step 7:
    ///  -- -- -- -- W0 W1 W2 W3   -- -- -- -- -- -- -- --   -- -- -- -- -- -- -- --   -- -- -- -- -- -- -- --
    ///  -- -- -- -- -- -- -- --   -- -- -- -- W0 W1 W2 W3   -- -- -- -- -- -- -- --   -- -- -- -- -- -- -- --
    ///  -- -- -- -- -- -- -- --   -- -- -- -- -- -- -- --   -- -- -- -- W0 W1 W2 W3   -- -- -- -- -- -- -- --
    ///  -- -- -- -- -- -- -- --   -- -- -- -- -- -- -- --   -- -- -- -- -- -- -- --   -- -- -- -- W0 W1 W2 W3
    ///  W0 -- -- -- -- -- -- --   -- W0 -- -- -- -- -- --   -- -- W0 -- -- -- -- --   -- -- -- W0 -- -- -- --
    ///  W1 -- -- -- -- -- -- --   -- W1 -- -- -- -- -- --   -- -- W1 -- -- -- -- --   -- -- -- W1 -- -- -- --
    ///  W2 -- -- -- -- -- -- --   -- W2 -- -- -- -- -- --   -- -- W2 -- -- -- -- --   -- -- -- W2 -- -- -- --
    ///  W3 -- -- -- -- -- -- --   -- W3 -- -- -- -- -- --   -- -- W3 -- -- -- -- --   -- -- -- W3 -- -- -- --
    ///
    /////////////////////////////////////////////////////////////////////////////////////////////////////////////
    ///
    /// Fully static coord LUT to avoid extra register use.
    /// [warp_id][step][warp_tile][n / k]
    /// Step 0            Step 1         Step 2          Step 3          Step 4          Step 5         Step 6           Step 7
    /// {{{0,0}, {1,1}}, {{2,2}, {3,3}}, {{4,4}, {5,5}}, {{6,6}, {7,7}}, {{4,0}, {0,4}}, {{4,1}, {1,4}}, {{4,2}, {2,4}}, {{4,3}, {3,4}}}, // W0
    /// {{{1,0}, {0,1}}, {{3,2}, {2,3}}, {{5,4}, {4,5}}, {{7,6}, {6,7}}, {{5,0}, {0,5}}, {{5,1}, {1,5}}, {{5,2}, {2,5}}, {{5,3}, {3,5}}}, // W1
    /// {{{2,0}, {0,2}}, {{3,1}, {1,3}}, {{6,4}, {4,6}}, {{7,5}, {5,7}}, {{6,0}, {0,6}}, {{6,1}, {1,6}}, {{6,2}, {2,6}}, {{6,3}, {3,6}}}, // W2
    /// {{{3,0}, {0,3}}, {{2,1}, {1,2}}, {{7,4}, {4,7}}, {{6,5}, {5,6}}, {{7,0}, {0,7}}, {{7,1}, {1,7}}, {{7,2}, {2,7}}, {{7,3}, {3,7}}}, // W3
    ///
    /// Encoding the coord of warp tile0 into two int64_t values.
    /// Only encoding Step 0 ~ Step 4, since Step 5 ~ Step 7 have a straightforward pattern.
    /// Only encoding warp tile0, since the coords of warp tile1 could be easily deduced from warp tile0.
    /// The 2-step transposition and the 8-step transposition share the same encoding.
    ///
    //////////////////////////////////////////////////////////////////////////////////////////////////////////////

    // Divide entire SMEM to multiple warp_tiles
    constexpr auto WarpTileShape = make_shape(Int<WarpTileSize>(), Int<WarpTileSize>());
    Tensor s_tile                = zipped_divide(     sB(_,_,read_stage), WarpTileShape);
    Tensor s_tile_transposed     = zipped_divide(gmma_sB(_,_,read_stage), WarpTileShape);

    // Get copy tile
    auto sB_tiled_copy = make_tiled_copy(
      Copy_Atom<DefaultCopy, ElementB>{},
      WarpThreadLayout,     // thr_layout
      Layout<_1>{}          // val_layout
    );
    static_assert(size(sB_tiled_copy) * NumWarpsPerWarpGroup == size(TiledMma{}) / NumMathWarpGroup, "Wrong thread number in TiledCopy.");
    auto sB_thr_copy = sB_tiled_copy.get_thread_slice(warp_group_thread_idx % NumThreadsPerWarp);  // slice based on lane_idx

    // Construct fragments for transposition
    Tensor tmp_tCsB = sB_thr_copy.partition_S(flatten(s_tile(_, make_coord(_0{}, _0{}))));
    decltype(make_fragment_like(tmp_tCsB)) transpose_fragments[TilesPerWarp] = {
      make_fragment_like(tmp_tCsB),
      make_fragment_like(tmp_tCsB)
    };

    CUTLASS_PRAGMA_NO_UNROLL
    for (int warp_group_tile = 0; warp_group_tile < WarpgroupTileNum; ++warp_group_tile) {
      int tmp_warp_tile_n_coord_LUT = current_warp_tile_n_coord_LUT;
      int tmp_warp_tile_k_coord_LUT = current_warp_tile_k_coord_LUT;
      constexpr int StepsPerWarpGroup = Steps / NumMathWarpGroup;

      if constexpr (NumMathWarpGroup == 2) {
        tmp_warp_tile_n_coord_LUT >>= NumBitsPerStep * (warp_idx / (NumWarpsPerWarpGroup * 2));
        tmp_warp_tile_k_coord_LUT >>= NumBitsPerStep * (warp_idx / (NumWarpsPerWarpGroup * 2));
      }

      CUTLASS_PRAGMA_NO_UNROLL
      for (int step_per_warp_group = 0; step_per_warp_group < StepsPerWarpGroup; ++step_per_warp_group) {
        // For 2 math warpgroup, warp idx4~7 is 1st warp group and 8~9 is 2nd, so decide if 2nd warpgroup need warp idx divide 8.
        int step = step_per_warp_group * NumMathWarpGroup + warp_idx / (NumWarpsPerWarpGroup * 2);
        // decoding the warp tile coord.
        int warp_tile0_n = step < NumStepsEncoded ? (tmp_warp_tile_n_coord_LUT & MaskPerStep) : 4 + warp_idx_in_warp_group;
        int warp_tile0_k = step < NumStepsEncoded ? (tmp_warp_tile_k_coord_LUT & MaskPerStep) : step - 4;
        int warp_tile1_n = warp_tile0_n == warp_tile0_k ? warp_tile0_n + 1 : warp_tile0_k;
        int warp_tile1_k = warp_tile0_n == warp_tile0_k ? warp_tile0_k + 1 : warp_tile0_n;

        tmp_warp_tile_n_coord_LUT >>= NumBitsPerStep;
        tmp_warp_tile_k_coord_LUT >>= NumBitsPerStep;

        static_assert(TilesPerWarp == 2);

        // [warp_tile][n/k]
        const int warp_tile_coord[TilesPerWarp][2] = {
          // n                                                           k
          {warp_group_tile * NumWarpTilePerWarpgroupTile + warp_tile0_n, warp_tile0_k}, // warp_tile 0
          {warp_group_tile * NumWarpTilePerWarpgroupTile + warp_tile1_n, warp_tile1_k}  // warp_tile 1
        };

        CUTLASS_PRAGMA_UNROLL
        for (int warp_tile = 0; warp_tile < TilesPerWarp; ++warp_tile) {
          Tensor tCsB = sB_thr_copy.partition_S(
            flatten(s_tile(_, make_coord(warp_tile_coord[warp_tile][0], warp_tile_coord[warp_tile][1])))
          ); // (CPY, CPY_N, CPY_K)

          copy(sB_tiled_copy, tCsB, transpose_fragments[warp_tile]);
        }

        // Make sure elements in two 8x8 warp tiles are all consumed
        __syncwarp();

        CUTLASS_PRAGMA_UNROLL
        for (int warp_tile = 0; warp_tile < TilesPerWarp; ++warp_tile) {
          Tensor tCsB_transposed = sB_thr_copy.partition_D(
            flatten(s_tile_transposed(_, make_coord(warp_tile_coord[warp_tile][0], warp_tile_coord[warp_tile][1])))
          ); // (CPY, CPY_N, CPY_K)
          copy(sB_tiled_copy, transpose_fragments[warp_tile], tCsB_transposed);
        }
      } // lock step
    } // loop warp_group_tile
  }

  CUTLASS_DEVICE void synchronize(int step) {
    if (step == 0) {
      // SMEM fence to make sure B is transposed before math
      cutlass::arch::fence_view_async_shared();
      cutlass::arch::NamedBarrier::sync(size(TiledMma{}), cutlass::arch::ReservedNamedBarriers::TransposeBarrier);
    }
  }

  CUTLASS_DEVICE void synchronize() {
    cutlass::arch::fence_view_async_shared();
    cutlass::arch::NamedBarrier::sync(size(TiledMma{}), cutlass::arch::ReservedNamedBarriers::TransposeBarrier);
  }

  template <
    class TensorSmemB,
    class TensorTransposedSmemB>
  CUTLASS_DEVICE void transpose(
    TensorSmemB const& sB,
    TensorTransposedSmemB const& gmma_sB,
    int read_stage) {
    this->operator()(sB, gmma_sB, read_stage, 0);
    synchronize();
  }

private:
  const int warp_idx;
  const int warp_group_thread_idx;
  const int warp_idx_in_warp_group;
  const int current_warp_tile_n_coord_LUT;
  const int current_warp_tile_k_coord_LUT;
};


template<
  class TiledMma,
  class SmemLayoutB,
  class SmemLayoutAtomB,
  class ElementB,
  bool TransposeB
>
constexpr CUTLASS_HOST_DEVICE
auto
make_transpose_operand_b(
    int warp_idx,
    int warp_group_thread_idx,
    TiledMma,
    SmemLayoutB,
    SmemLayoutAtomB,
    ElementB,
    cute::bool_constant<TransposeB>)
{
  if constexpr (!TransposeB) {
    return NoTranspositionOperandB(
        warp_idx, warp_group_thread_idx, TiledMma{},
        SmemLayoutB{}, SmemLayoutAtomB{}, ElementB{});
  }
  else if constexpr (use_universal_transposition<SmemLayoutAtomB, ElementB>()) {
    return UniversalTranspositionOperandB(
        warp_idx, warp_group_thread_idx, TiledMma{},
        SmemLayoutB{}, SmemLayoutAtomB{}, ElementB{});
  }
  else if constexpr (sizeof(ElementB) == 1) {
    return AsyncTranspositionOperandB_1BElementB(
        warp_idx, warp_group_thread_idx, TiledMma{},
        SmemLayoutB{}, SmemLayoutAtomB{}, ElementB{});
  }
  else {
    return AsyncTranspositionOperandB(
        warp_idx, warp_group_thread_idx, TiledMma{},
        SmemLayoutB{}, SmemLayoutAtomB{}, ElementB{});
  }
}

}; // namespace detail

/////////////////////////////////////////////////////////////////////////////////////////////////

} // namespace collective
} // namespace transform
} // namespace cutlass

/////////////////////////////////////////////////////////////////////////////////////////////////